LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0603239

Constantinos Papageorgakis

C. Papageorgakis, S. Ramgoolam

On Time-dependent Collapsing Branes and Fuzzy Odd-dimensional Spheres

35 pages, latex; v2: discussion in Appendix B on the large-N limit of the associator is modified, main results of paper unchanged

Int.J.Mod.Phys.A21:6055-6086,2006

10.1142/S0217751X06034161

QMUL-PH-05-15

hep-th

null

We study the time-dependent dynamics of a collection of N collapsing/expanding D0-branes in type IIA String Theory. We show that the fuzzy-S^3 and S^5 provide time-dependent solutions to the Matrix Model of D0-branes and its DBI generalisation. Some intriguing cancellations in the calculation of the non-abelian DBI Matrix actions result in the fuzzy-S^3 and S^5 having the same dynamics at large-N. For the Matrix model, we find analytic solutions describing the time-dependent radius, in terms of Jacobi elliptic functions. Investigation of the physical properties of these configurations shows that there are no bounces for the trajectory of the collapse at large-N. We also write down a set of useful identities for fuzzy-S^3, fuzzy-S^5 and general fuzzy odd-spheres.

[ { "created": "Thu, 30 Mar 2006 11:06:59 GMT", "version": "v1" }, { "created": "Mon, 29 May 2006 16:50:27 GMT", "version": "v2" } ]

2008-11-26

[ [ "Papageorgakis", "C.", "" ], [ "Ramgoolam", "S.", "" ] ]

We study the time-dependent dynamics of a collection of N collapsing/expanding D0-branes in type IIA String Theory. We show that the fuzzy-S^3 and S^5 provide time-dependent solutions to the Matrix Model of D0-branes and its DBI generalisation. Some intriguing cancellations in the calculation of the non-abelian DBI Matrix actions result in the fuzzy-S^3 and S^5 having the same dynamics at large-N. For the Matrix model, we find analytic solutions describing the time-dependent radius, in terms of Jacobi elliptic functions. Investigation of the physical properties of these configurations shows that there are no bounces for the trajectory of the collapse at large-N. We also write down a set of useful identities for fuzzy-S^3, fuzzy-S^5 and general fuzzy odd-spheres.

11.799739

11.901039

13.368806

12.085098

11.475307

12.349436

12.464729

11.260381

11.675945

14.609571

11.855181

11.177217

12.217282

11.398739

11.221528

10.869566

11.196658

11.353728

11.2697

12.758842

10.973382

1604.01669

El Hassan Saidi

R.Ahl Laamara, M. Miskaoui, E.H Saidi

MSSM-like from $SU_{5}\times D_{4}$ Models

48 pages, LaTeX

NPB vol 906 (2016), 1-39

10.1016/j.nuclphysb.2016.02.028

null

hep-th hep-ph

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

Using finite discrete group characters and symmetry breaking by hyperflux as well as constraints on top- quark family, we study minimal low energy effective theory following from SU$_{5}\times D_{4}$ models embedded in F-theory with non abelian flux. Matter curves spectrum of the models is obtained from SU$_{5}\times S_{5}$ theory with monodromy $S_{5}$ by performing two breakings; first from symmetric group $S_{5}$ to $S_{4}$ subsymmetry; and next to dihedral $D_{4}$ subgroup. As a consequence, and depending on the ways of decomposing triplets of $S_{4}$, we end with three types of $D_{4}$- models. Explicit constructions of these theories are given and a MSSM- like spectrum is derived.

[ { "created": "Wed, 6 Apr 2016 15:50:46 GMT", "version": "v1" } ]

2016-04-07

[ [ "Laamara", "R. Ahl", "" ], [ "Miskaoui", "M.", "" ], [ "Saidi", "E. H", "" ] ]

Using finite discrete group characters and symmetry breaking by hyperflux as well as constraints on top- quark family, we study minimal low energy effective theory following from SU$_{5}\times D_{4}$ models embedded in F-theory with non abelian flux. Matter curves spectrum of the models is obtained from SU$_{5}\times S_{5}$ theory with monodromy $S_{5}$ by performing two breakings; first from symmetric group $S_{5}$ to $S_{4}$ subsymmetry; and next to dihedral $D_{4}$ subgroup. As a consequence, and depending on the ways of decomposing triplets of $S_{4}$, we end with three types of $D_{4}$- models. Explicit constructions of these theories are given and a MSSM- like spectrum is derived.

16.157736

16.416739

16.695454

14.731789

16.442078

17.117134

17.025145

17.254932

13.923531

17.493189

15.897102

15.06024

15.263146

15.539291

15.564701

15.298267

15.611395

15.298778

15.093504

15.403296

15.067827

2211.06355

Gabriel Arenas-Henriquez

Gabriel Arenas-Henriquez, Felipe Diaz, Yerko Novoa

Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy

41 pages, 6 figures. Comments are welcome. V2: minor corrections, references added. V3: Matches accepted version in JHEP

null

10.1007/JHEP05(2023)072

null

hep-th gr-qc

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

We extend the charged Renyi entropy to a more general holographic scenario. Coupling an arbitrary non-linear electrodynamics Lagrangian density to AdS gravity, we analyse the thermodynamic features of non-linearly charged hyperbolic black holes and the thermal fluctuations in the grand canonical ensemble. We provide a general form for the relevant holographic quantities that describes a CFT with a global $U(1)$ symmetry in terms of horizon data and we compute the first thermal fluctuation of the charged Renyi entropy. We demonstrate the validity of the formulae through an analytic example; the Coulomb source in $2+1$ dimensions. We propose this model to be dual to charged free bosons in $1+1$ dimensions. The corrections generates a subleading logarithmic divergence in the entanglement entropy which appear in some Condensed Matter systems with spontaneous symmetry breaking due to IR effects in the ground state. We comment on the possibility of interpreting these results in terms of holography beyond the saddle point approximation.

[ { "created": "Fri, 11 Nov 2022 17:13:59 GMT", "version": "v1" }, { "created": "Wed, 16 Nov 2022 14:26:49 GMT", "version": "v2" }, { "created": "Thu, 4 May 2023 15:06:14 GMT", "version": "v3" } ]

2023-05-31

[ [ "Arenas-Henriquez", "Gabriel", "" ], [ "Diaz", "Felipe", "" ], [ "Novoa", "Yerko", "" ] ]

We extend the charged Renyi entropy to a more general holographic scenario. Coupling an arbitrary non-linear electrodynamics Lagrangian density to AdS gravity, we analyse the thermodynamic features of non-linearly charged hyperbolic black holes and the thermal fluctuations in the grand canonical ensemble. We provide a general form for the relevant holographic quantities that describes a CFT with a global $U(1)$ symmetry in terms of horizon data and we compute the first thermal fluctuation of the charged Renyi entropy. We demonstrate the validity of the formulae through an analytic example; the Coulomb source in $2+1$ dimensions. We propose this model to be dual to charged free bosons in $1+1$ dimensions. The corrections generates a subleading logarithmic divergence in the entanglement entropy which appear in some Condensed Matter systems with spontaneous symmetry breaking due to IR effects in the ground state. We comment on the possibility of interpreting these results in terms of holography beyond the saddle point approximation.

11.477745

10.959859

12.290059

11.036792

11.253333

10.692421

11.271735

10.925961

10.61932

12.019238

10.607275

11.246593

11.772968

11.338949

11.369642

11.189418

11.017562

11.205535

11.580913

11.42549

11.105973

1806.09417

Claudia de Rham

Claudia de Rham and Scott Melville

Gravitational Rainbows: LIGO and Dark Energy at its Cutoff

6 pages, 1 figure, small edits and references added

Phys. Rev. Lett. 121, 221101 (2018)

10.1103/PhysRevLett.121.221101

Imperial/TP/2018/CdR/02

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

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

The recent direct detection of a neutron star merger with optical counterpart has been used to severely constrain models of dark energy that typically predict a modification of the speed of gravitational waves. We point out that the energy scales observed at LIGO, and the particular frequency of the neutron star event, lie very close to the strong coupling scale or cutoff associated with many dark energy models. While it is true that at very low energies one expects gravitational waves to travel at a speed different than light in these models, the same is no longer necessarily true as one reaches energy scales close to the cutoff. We show explicitly how this occurs in a simple model with a known partial UV completion. Within the context of Horndeski, we show how the operators that naturally lie at the cutoff scale can affect the speed of propagation of gravitational waves and bring it back to unity at those scales. We discuss how further missions including LISA and PTAs could play an essential role in testing such models.

[ { "created": "Mon, 25 Jun 2018 12:28:32 GMT", "version": "v1" }, { "created": "Mon, 17 Dec 2018 16:19:29 GMT", "version": "v2" } ]

2018-12-18

[ [ "de Rham", "Claudia", "" ], [ "Melville", "Scott", "" ] ]

The recent direct detection of a neutron star merger with optical counterpart has been used to severely constrain models of dark energy that typically predict a modification of the speed of gravitational waves. We point out that the energy scales observed at LIGO, and the particular frequency of the neutron star event, lie very close to the strong coupling scale or cutoff associated with many dark energy models. While it is true that at very low energies one expects gravitational waves to travel at a speed different than light in these models, the same is no longer necessarily true as one reaches energy scales close to the cutoff. We show explicitly how this occurs in a simple model with a known partial UV completion. Within the context of Horndeski, we show how the operators that naturally lie at the cutoff scale can affect the speed of propagation of gravitational waves and bring it back to unity at those scales. We discuss how further missions including LISA and PTAs could play an essential role in testing such models.

11.063503

11.667324

11.657881

10.642415

11.962024

11.580722

11.645355

11.672271

10.47696

11.558037

11.0384

10.165581

10.7216

10.285851

10.471004

10.627265

10.156773

10.286158

10.346808

10.866389

10.655714

hep-th/9703112

Kirill Krasnov

John C. Baez and Kirill V. Krasnov

Quantization of Diffeomorphism-Invariant Theories with Fermions

28 pages, latex, 7 ps-files (included) are needed to process the source file

J.Math.Phys. 39 (1998) 1251-1271

10.1063/1.532400

CGPG-97/3-5

hep-th gr-qc

null

We extend ideas developed for the loop representation of quantum gravity to diffeomorphism-invariant gauge theories coupled to fermions. Let P -> Sigma be a principal G-bundle over space and let F be a vector bundle associated to P whose fiber is a sum of continuous unitary irreducible representations of the compact connected gauge group G, each representation appearing together with its dual. We consider theories whose classical configuration space is A x F, where A is the space of connections on P and F is the space of sections of F, regarded as a collection of Grassmann-valued fermionic fields. We construct the `quantum configuration space a x f as a completion of A x F. Using this we construct a Hilbert space L^2(a x f) for the quantum theory on which all automorphisms of P act as unitary operators, and determine an explicit `spin network basis' of the subspace L^2((a x f)/G) consisting of gauge-invariant states. We represent observables constructed from holonomies of the connection along paths together with fermionic fields and their conjugate momenta as operators on L^2((a x f)/G). We also construct a Hilbert space H_diff of diffeomorphism-invariant states using the group averaging procedure of Ashtekar, Lewandowski, Marolf, Mourao and Thiemann.

[ { "created": "Sun, 16 Mar 1997 18:58:30 GMT", "version": "v1" } ]

2015-06-26

[ [ "Baez", "John C.", "" ], [ "Krasnov", "Kirill V.", "" ] ]

We extend ideas developed for the loop representation of quantum gravity to diffeomorphism-invariant gauge theories coupled to fermions. Let P -> Sigma be a principal G-bundle over space and let F be a vector bundle associated to P whose fiber is a sum of continuous unitary irreducible representations of the compact connected gauge group G, each representation appearing together with its dual. We consider theories whose classical configuration space is A x F, where A is the space of connections on P and F is the space of sections of F, regarded as a collection of Grassmann-valued fermionic fields. We construct the `quantum configuration space a x f as a completion of A x F. Using this we construct a Hilbert space L^2(a x f) for the quantum theory on which all automorphisms of P act as unitary operators, and determine an explicit `spin network basis' of the subspace L^2((a x f)/G) consisting of gauge-invariant states. We represent observables constructed from holonomies of the connection along paths together with fermionic fields and their conjugate momenta as operators on L^2((a x f)/G). We also construct a Hilbert space H_diff of diffeomorphism-invariant states using the group averaging procedure of Ashtekar, Lewandowski, Marolf, Mourao and Thiemann.

5.894984

6.903641

6.235219

6.145265

6.637606

6.533302

6.872376

6.08635

6.121952

7.094849

6.187201

6.31705

6.007343

6.11497

6.207529

6.349796

6.262058

5.784147

6.211361

6.000891

5.897732

hep-th/9312030

null

J. Navarro-Salas and C. F. Talavera

Quantum Cosmological Approach to 2d Dilaton Gravity

19 pages, 2 figures (uuencoded) included, plain Latex, needs amssymb.sty and psfig.sty, FTUV/93-34 & IFIC/93-34

Nucl.Phys.B423:686-704,1994

10.1016/0550-3213(94)90149-X

null

hep-th

null

We study the canonical quantization of the induced 2d-gravity and the pure gravity CGHS-model on a closed spatial section. The Wheeler-DeWitt equations are solved in (spatially homogeneous) choices of the internal time variable and the space of solutions is properly truncated to provide the physical Hilbert space. We establish the quantum equivalence of both models and relate the results with the covariant phase-space quantization. We also discuss the relation between the quantum wavefunctions and the classical space-time solutions and propose the wave function representing the ground state.

[ { "created": "Fri, 3 Dec 1993 14:01:00 GMT", "version": "v1" } ]

2008-11-26

[ [ "Navarro-Salas", "J.", "" ], [ "Talavera", "C. F.", "" ] ]

We study the canonical quantization of the induced 2d-gravity and the pure gravity CGHS-model on a closed spatial section. The Wheeler-DeWitt equations are solved in (spatially homogeneous) choices of the internal time variable and the space of solutions is properly truncated to provide the physical Hilbert space. We establish the quantum equivalence of both models and relate the results with the covariant phase-space quantization. We also discuss the relation between the quantum wavefunctions and the classical space-time solutions and propose the wave function representing the ground state.

13.754375

12.082065

13.506114

12.075873

12.889019

13.041575

14.589571

12.580871

13.167352

13.422174

12.626052

13.161609

12.787421

12.732973

13.258452

13.08386

14.141178

12.600221

13.612298

13.178599

13.52127

1410.5831

Shira Chapman Ms.

Igal Arav, Shira Chapman, Yaron Oz

Lifshitz Scale Anomalies

58 pages, 5 appendices

JHEP 1502 (2015) 078

10.1007/JHEP02(2015)078

null

hep-th cond-mat.str-el

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

We analyse scale anomalies in Lifshitz field theories, formulated as the relative cohomology of the scaling operator with respect to foliation preserving diffeomorphisms. We construct a detailed framework that enables us to calculate the anomalies for any number of spatial dimensions, and for any value of the dynamical exponent. We derive selection rules, and establish the anomaly structure in diverse universal sectors. We present the complete cohomologies for various examples in one, two and three space dimensions for several values of the dynamical exponent. Our calculations indicate that all the Lifshitz scale anomalies are trivial descents, called B-type in the terminology of conformal anomalies. However, not all the trivial descents are cohomologically non-trivial. We compare the conformal anomalies to Lifshitz scale anomalies with a dynamical exponent equal to one.

[ { "created": "Tue, 21 Oct 2014 20:00:33 GMT", "version": "v1" } ]

2015-08-14

[ [ "Arav", "Igal", "" ], [ "Chapman", "Shira", "" ], [ "Oz", "Yaron", "" ] ]

We analyse scale anomalies in Lifshitz field theories, formulated as the relative cohomology of the scaling operator with respect to foliation preserving diffeomorphisms. We construct a detailed framework that enables us to calculate the anomalies for any number of spatial dimensions, and for any value of the dynamical exponent. We derive selection rules, and establish the anomaly structure in diverse universal sectors. We present the complete cohomologies for various examples in one, two and three space dimensions for several values of the dynamical exponent. Our calculations indicate that all the Lifshitz scale anomalies are trivial descents, called B-type in the terminology of conformal anomalies. However, not all the trivial descents are cohomologically non-trivial. We compare the conformal anomalies to Lifshitz scale anomalies with a dynamical exponent equal to one.

10.906587

10.090253

11.045648

9.997254

8.97401

9.599373

9.786933

10.077996

9.728326

11.355103

9.856218

9.753428

10.594014

9.910109

10.010871

9.979184

10.159376

9.946732

9.886009

10.441074

10.011365

1504.07579

Luis Apolo

Luis Apolo and Bo Sundborg

Strings from 3D gravity: asymptotic dynamics of AdS$_3$ gravity with free boundary conditions

21 pages; v2: typos corrected, published version

JHEP 1506 (2015) 171

10.1007/JHEP06(2015)171

null

hep-th gr-qc

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

Pure three-dimensional gravity in anti-de Sitter space can be formulated as an SL(2,R) $\times $ SL(2,R) Chern-Simons theory, and the latter can be reduced to a WZW theory at the boundary. In this paper we show that AdS$_3$ gravity with free boundary conditions is described by a string at the boundary whose target spacetime is also AdS$_3$. While boundary conditions in the standard construction of Coussaert, Henneaux, and van Driel are enforced through constraints on the WZW currents, we find that free boundary conditions are partially enforced through the string Virasoro constraints.

[ { "created": "Tue, 28 Apr 2015 17:28:54 GMT", "version": "v1" }, { "created": "Wed, 1 Jul 2015 12:21:08 GMT", "version": "v2" } ]

2015-07-02

[ [ "Apolo", "Luis", "" ], [ "Sundborg", "Bo", "" ] ]

Pure three-dimensional gravity in anti-de Sitter space can be formulated as an SL(2,R) $\times $ SL(2,R) Chern-Simons theory, and the latter can be reduced to a WZW theory at the boundary. In this paper we show that AdS$_3$ gravity with free boundary conditions is described by a string at the boundary whose target spacetime is also AdS$_3$. While boundary conditions in the standard construction of Coussaert, Henneaux, and van Driel are enforced through constraints on the WZW currents, we find that free boundary conditions are partially enforced through the string Virasoro constraints.

7.96747

7.306208

7.625299

6.76841

7.397475

6.622674

7.216164

7.143577

7.332912

8.409769

6.990414

6.889793

6.793039

6.939704

7.03226

7.012493

7.001491

7.07623

7.074943

6.881315

6.765303

hep-th/0308043

Richard Szabo

E. Langmann, R.J. Szabo and K. Zarembo

Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces

70 pages AMSTeX

JHEP 0401 (2004) 017

10.1088/1126-6708/2004/01/017

HWM-03-9, EMPG-03-12, ITEP-TH-38/03, UUITP-14/03

hep-th

null

We present the exact solution of a scalar field theory defined with noncommuting position and momentum variables. The model describes charged particles in a uniform magnetic field and with an interaction defined by the Groenewold-Moyal star-product. Explicit results are presented for all Green's functions in arbitrary even spacetime dimensionality. Various scaling limits of the field theory are analysed non-perturbatively and the renormalizability of each limit examined. A supersymmetric extension of the field theory is also constructed in which the supersymmetry transformations are parametrized by differential operators in an infinite-dimensional noncommutative algebra.

[ { "created": "Wed, 6 Aug 2003 15:40:16 GMT", "version": "v1" } ]

2009-11-10

[ [ "Langmann", "E.", "" ], [ "Szabo", "R. J.", "" ], [ "Zarembo", "K.", "" ] ]

We present the exact solution of a scalar field theory defined with noncommuting position and momentum variables. The model describes charged particles in a uniform magnetic field and with an interaction defined by the Groenewold-Moyal star-product. Explicit results are presented for all Green's functions in arbitrary even spacetime dimensionality. Various scaling limits of the field theory are analysed non-perturbatively and the renormalizability of each limit examined. A supersymmetric extension of the field theory is also constructed in which the supersymmetry transformations are parametrized by differential operators in an infinite-dimensional noncommutative algebra.

8.713131

8.039302

9.437199

8.169119

8.686442

7.698505

8.078027

8.134373

8.265307

10.508857

8.173517

8.574795

9.530584

8.689145

8.944749

8.276209

8.396964

8.578835

8.538414

9.607593

8.098175

1608.05116

Allen Stern

B. Harms and A. Stern

Spinning $\sigma$-model solitons in $2+1$ Anti-de Sitter space

15 pages, 6 figures

null

10.1016/j.physletb.2016.10.075

null

hep-th gr-qc

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

We obtain numerical solutions for rotating topological solitons of the nonlinear $\sigma$-model in three-dimensional Anti-de Sitter space. Two types of solutions, $i)$ and $ii)$, are found. The $\sigma$-model fields are everywhere well defined for both types of solutions, but they differ in their space-time domains. Any time slice of the space-time for the type $i)$ solution has a causal singularity, despite the fact that all scalars constructed the curvature tensor are bounded functions. No evidence of a horizon is seen for any of the solutions, and therefore the type $i)$ solutions have naked singularities. On the other hand, the space-time domain, along with the fields, for the type $ii)$ solutions are singularity free. Multiple families of solutions exhibiting bifurcation phenomena are found for this case.

[ { "created": "Wed, 17 Aug 2016 22:13:20 GMT", "version": "v1" }, { "created": "Sat, 15 Oct 2016 21:09:08 GMT", "version": "v2" } ]

2017-01-04

[ [ "Harms", "B.", "" ], [ "Stern", "A.", "" ] ]

We obtain numerical solutions for rotating topological solitons of the nonlinear $\sigma$-model in three-dimensional Anti-de Sitter space. Two types of solutions, $i)$ and $ii)$, are found. The $\sigma$-model fields are everywhere well defined for both types of solutions, but they differ in their space-time domains. Any time slice of the space-time for the type $i)$ solution has a causal singularity, despite the fact that all scalars constructed the curvature tensor are bounded functions. No evidence of a horizon is seen for any of the solutions, and therefore the type $i)$ solutions have naked singularities. On the other hand, the space-time domain, along with the fields, for the type $ii)$ solutions are singularity free. Multiple families of solutions exhibiting bifurcation phenomena are found for this case.

9.390782

9.241107

9.054945

8.348907

9.224219

8.832859

8.927767

8.06711

8.983778

8.628571

8.635854

8.559549

8.378664

8.49081

8.371674

8.827282

8.337428

8.57814

8.7981

8.552024

8.391831

0706.3999

Eugenio R. Bezerra de Mello

R. de Lima Rodrigues, A. F. de Lima, E. R. Bezerra de Mello, V. B. Bezerra

On Matrix Superpotential and Three-Component Normal Modes

17 pages, no figure. Paper accepted for publication in Journal of Physics A: Mathematical and Theoretical

J.Phys.A41:025401,2008

10.1088/1751-8113/41/2/025401

null

hep-th

null

We consider the supersymmetric quantum mechanics (SUSY QM) with three- component normal modes for the Bogomol'nyi-Prasad-Sommerfield (BPS) states. An explicit form of the SUSY QM matrix superpotential is presented and the corresponding three-component bosonic zero-mode eigenfunction is investigated.

[ { "created": "Wed, 27 Jun 2007 11:23:41 GMT", "version": "v1" }, { "created": "Tue, 27 Nov 2007 11:28:13 GMT", "version": "v2" } ]

2008-11-26

[ [ "Rodrigues", "R. de Lima", "" ], [ "de Lima", "A. F.", "" ], [ "de Mello", "E. R. Bezerra", "" ], [ "Bezerra", "V. B.", "" ] ]

We consider the supersymmetric quantum mechanics (SUSY QM) with three- component normal modes for the Bogomol'nyi-Prasad-Sommerfield (BPS) states. An explicit form of the SUSY QM matrix superpotential is presented and the corresponding three-component bosonic zero-mode eigenfunction is investigated.

8.095453

7.551136

8.735877

7.387449

8.058821

7.688829

6.958835

6.748654

7.035057

8.881804

6.784465

7.853682

7.915483

7.613115

7.501281

7.262255

7.283596

7.342683

7.718932

8.515657

7.28773

hep-th/9210109

null

Alexios P. Polychronakos

Lattice Integrable Systems of Haldane-Shastry Type

8 pages, NTUA 34/92

Phys.Rev.Lett. 70 (1993) 2329-2331

10.1103/PhysRevLett.70.2329

null

hep-th cond-mat

null

We present a new lattice integrable system in one dimension of the Haldane-Shastry type. It consists of spins positioned at the static equilibrium positions of particles in a corresponding classical Calogero system and interacting through an exchange term with strength inversely proportional to the square of their distance. We achieve this by viewing the Haldane-Shastry system as a high-interaction limit of the Sutherland system of particles with internal degrees of freedom and identifying the same limit in a corresponding Calogero system. The commuting integrals of motion of this system are found using the exchange operator formalism.

[ { "created": "Tue, 20 Oct 1992 14:47:38 GMT", "version": "v1" } ]

2009-10-22

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

We present a new lattice integrable system in one dimension of the Haldane-Shastry type. It consists of spins positioned at the static equilibrium positions of particles in a corresponding classical Calogero system and interacting through an exchange term with strength inversely proportional to the square of their distance. We achieve this by viewing the Haldane-Shastry system as a high-interaction limit of the Sutherland system of particles with internal degrees of freedom and identifying the same limit in a corresponding Calogero system. The commuting integrals of motion of this system are found using the exchange operator formalism.

8.567352

8.822262

11.658507

8.569164

8.814928

8.766599

9.635012

8.432588

9.044342

12.214923

8.46222

9.04355

9.777745

8.844113

8.578572

8.500479

8.838504

8.409014

8.506263

9.527681

8.364703

2309.05536

Jian-Pin Wu

Lin-Yue Bai, Jian-Pin Wu, Zhen-Hua Zhou

Transport properties of a holographic model with novel gauge-axion coupling

29 pages, 11 figures, Published version

Phys.Rev.D 108 (2023) 12, 126015

10.1103/PhysRevD.108.126015

null

hep-th gr-qc

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

We investigate the transport properties within a holographic model characterized by a novel gauge-axion coupling. A key innovation is the introduction of the direct coupling between axion fields, the antisymmetric tensor, and the gauge field in our bulk theory. This novel coupling term leads to the emergence of nondiagonal components in the conductivity tensor. An important characteristic is that the off-diagonal elements manifest antisymmetry. Remarkably, the conductivity behavior in this model akin to that of Hall conductivity. Additionally, this model can also achieve metal-insulator transition.

[ { "created": "Mon, 11 Sep 2023 15:18:43 GMT", "version": "v1" }, { "created": "Thu, 14 Sep 2023 02:00:12 GMT", "version": "v2" }, { "created": "Wed, 27 Dec 2023 02:13:41 GMT", "version": "v3" } ]

2023-12-29

[ [ "Bai", "Lin-Yue", "" ], [ "Wu", "Jian-Pin", "" ], [ "Zhou", "Zhen-Hua", "" ] ]

We investigate the transport properties within a holographic model characterized by a novel gauge-axion coupling. A key innovation is the introduction of the direct coupling between axion fields, the antisymmetric tensor, and the gauge field in our bulk theory. This novel coupling term leads to the emergence of nondiagonal components in the conductivity tensor. An important characteristic is that the off-diagonal elements manifest antisymmetry. Remarkably, the conductivity behavior in this model akin to that of Hall conductivity. Additionally, this model can also achieve metal-insulator transition.

14.585908

12.090949

13.243456

11.877041

11.651432

10.860875

12.737731

12.051049

11.47043

14.23365

12.228335

12.305044

13.199742

12.031757

12.632295

12.317099

12.525451

12.135699

12.325674

13.14338

11.880632

1808.02165

Andrew Tolley

Furqan Dar, Claudia de Rham, J. Tate Deskins, John T. Giblin Jr., and Andrew J. Tolley

Scalar Gravitational Radiation from Binaries: Vainshtein Mechanism in Time-dependent Systems

27 pages, 9 figures, 1 table. Minor typos corrected and refs added

null

10.1088/1361-6382/aaf5e8

Imperial/TP/2018/CdR/04

hep-th astro-ph.CO gr-qc

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

We develop a full four-dimensional numerical code to study scalar gravitational radiation emitted from binary systems and probe the Vainshtein mechanism in situations that break the static and spherical symmetry, relevant for binary pulsars as well as black holes and neutron stars binaries. The present study focuses on the cubic Galileon which arises as the decoupling limit of massive theories of gravity. Limitations associated with the numerical methods prevent us from reaching a physically realistic hierarchy of scales; nevertheless, within this context we observe the same power law scaling of the radiated power as previous analytic estimates, and confirm a strong suppression of the power emitted in the monopole and dipole as compared with quadrupole radiation. Following the trend to more physically realistic parameters, we confirm the suppression of the power emitted in scalar gravitational radiation and the recovery of General Relativity with good accuracy. This paves the way for future numerical work, probing more generic, physically relevant situations and sets of interactions that may exhibit the Vainshtein mechanism.

[ { "created": "Tue, 7 Aug 2018 00:36:02 GMT", "version": "v1" }, { "created": "Thu, 4 Oct 2018 15:47:03 GMT", "version": "v2" } ]

2019-01-09

[ [ "Dar", "Furqan", "" ], [ "de Rham", "Claudia", "" ], [ "Deskins", "J. Tate", "" ], [ "Giblin", "John T.", "Jr." ], [ "Tolley", "Andrew J.", "" ] ]

We develop a full four-dimensional numerical code to study scalar gravitational radiation emitted from binary systems and probe the Vainshtein mechanism in situations that break the static and spherical symmetry, relevant for binary pulsars as well as black holes and neutron stars binaries. The present study focuses on the cubic Galileon which arises as the decoupling limit of massive theories of gravity. Limitations associated with the numerical methods prevent us from reaching a physically realistic hierarchy of scales; nevertheless, within this context we observe the same power law scaling of the radiated power as previous analytic estimates, and confirm a strong suppression of the power emitted in the monopole and dipole as compared with quadrupole radiation. Following the trend to more physically realistic parameters, we confirm the suppression of the power emitted in scalar gravitational radiation and the recovery of General Relativity with good accuracy. This paves the way for future numerical work, probing more generic, physically relevant situations and sets of interactions that may exhibit the Vainshtein mechanism.

12.618617

13.817588

13.260061

12.346297

13.111549

12.929934

12.968842

12.81584

12.480436

14.214859

13.061697

12.67944

12.388176

12.576876

12.56922

13.002474

12.714935

12.184972

12.078383

12.58157

12.634271

1103.3636

Steven Gubser

Steven S. Gubser

The gauge-string duality and heavy ion collisions

21 pages

null

10.1007/s10701-011-9613-9

PUPT-2367

hep-th hep-ph physics.hist-ph

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

I review at a non-technical level the use of the gauge-string duality to study aspects of heavy ion collisions, with special emphasis on the trailing string calculation of heavy quark energy loss. I include some brief speculations on how variants of the trailing string construction could provide a toy model of black hole formation and evaporation. This essay is an invited contribution to "Forty Years of String Theory" and is aimed at philosophers and historians of science as well as physicists.

[ { "created": "Fri, 18 Mar 2011 14:44:25 GMT", "version": "v1" } ]

2015-05-27

[ [ "Gubser", "Steven S.", "" ] ]

I review at a non-technical level the use of the gauge-string duality to study aspects of heavy ion collisions, with special emphasis on the trailing string calculation of heavy quark energy loss. I include some brief speculations on how variants of the trailing string construction could provide a toy model of black hole formation and evaporation. This essay is an invited contribution to "Forty Years of String Theory" and is aimed at philosophers and historians of science as well as physicists.

10.897856

7.838672

9.247972

8.164083

9.462024

8.664083

8.616008

8.128462

8.424648

11.178883

7.954901

8.799919

9.229285

9.058826

8.512587

8.200553

8.73035

8.408832

8.967674

9.157862

8.611285

hep-th/0611205

Alikram Aliev

Alikram N. Aliev

Gyromagnetic Ratio of Charged Kerr-Anti-de Sitter Black Holes

New section added; 6 pages, RevTex

Class.Quant.Grav.24:4669-4678,2007

10.1088/0264-9381/24/18/008

null

hep-th astro-ph gr-qc

null

We examine the gyromagnetic ratios of rotating and charged AdS black holes in four and higher spacetime dimensions. We compute the gyromagnetic ratio for Kerr-AdS black holes with an arbitrary electric charge in four dimensions and show that it corresponds to g=2 irrespective of the AdS nature of the spacetime. We also compute the gyromagnetic ratio for Kerr-AdS black holes with a single angular momentum and with a test electric charge in all higher dimensions. The gyromagnetic ratio crucially depends on the dimensionless ratio of the rotation parameter to the curvature radius of the AdS background. At the critical limit, when the boundary Einstein universe is rotating at the speed of light, it exhibits a striking feature leading to g=2 regardless of the spacetime dimension. Next, we extend our consideration to include the exact metric for five-dimensional rotating charged black holes in minimal gauged supergravity. We show that the value of the gyromagnetic ratio found in the "test-charge" approach remains unchanged for these black holes.

[ { "created": "Sat, 18 Nov 2006 22:13:42 GMT", "version": "v1" }, { "created": "Thu, 7 Jun 2007 06:43:49 GMT", "version": "v2" }, { "created": "Tue, 21 Aug 2007 19:27:25 GMT", "version": "v3" } ]

2008-11-26

[ [ "Aliev", "Alikram N.", "" ] ]

We examine the gyromagnetic ratios of rotating and charged AdS black holes in four and higher spacetime dimensions. We compute the gyromagnetic ratio for Kerr-AdS black holes with an arbitrary electric charge in four dimensions and show that it corresponds to g=2 irrespective of the AdS nature of the spacetime. We also compute the gyromagnetic ratio for Kerr-AdS black holes with a single angular momentum and with a test electric charge in all higher dimensions. The gyromagnetic ratio crucially depends on the dimensionless ratio of the rotation parameter to the curvature radius of the AdS background. At the critical limit, when the boundary Einstein universe is rotating at the speed of light, it exhibits a striking feature leading to g=2 regardless of the spacetime dimension. Next, we extend our consideration to include the exact metric for five-dimensional rotating charged black holes in minimal gauged supergravity. We show that the value of the gyromagnetic ratio found in the "test-charge" approach remains unchanged for these black holes.

5.925867

5.413246

6.047872

5.252363

5.932288

5.235697

5.298599

5.209761

5.49599

6.032428

5.4628

5.60086

5.935173

5.476398

5.586091

5.391914

5.746003

5.392424

5.584334

5.720369

5.566847

hep-th/9208067

Tetsuji Miwa

Michio Jimbo, Tetsuji Miwa and Yasuhiro Ohta

Structure of the space of states in RSOS models

18 pages

Int.J.Mod.Phys. A8 (1993) 1457-1478

10.1142/S0217751X93000618

RIMS-893

hep-th nlin.SI solv-int

null

The restricted solid-on-solid models in the anti-ferromagnetic regime is studied in the framework of quantum affine algebras. Following the line developed recently for vertex models, a representation theoretical picture is presented for the structure of the space of states. The local operators and the creation/annihilation operators of quasi-particles are defined using vertex operators, and their commutation relations are calculated.

[ { "created": "Thu, 27 Aug 1992 02:38:25 GMT", "version": "v1" } ]

2009-10-22

[ [ "Jimbo", "Michio", "" ], [ "Miwa", "Tetsuji", "" ], [ "Ohta", "Yasuhiro", "" ] ]

The restricted solid-on-solid models in the anti-ferromagnetic regime is studied in the framework of quantum affine algebras. Following the line developed recently for vertex models, a representation theoretical picture is presented for the structure of the space of states. The local operators and the creation/annihilation operators of quasi-particles are defined using vertex operators, and their commutation relations are calculated.

10.580648

9.179274

12.780011

8.241066

9.35745

9.736833

9.276716

9.739409

10.54295

13.996365

8.719542

8.600282

10.92898

9.180984

9.140919

8.932396

8.590228

9.603521

9.172966

10.417934

8.927525

1105.3851

Gang Chen

Gang Chen and Konstantin G. Savvidy

Spinor formalism for massive fields with half-integral spin

21 pages, 1 figures

The European Physical Journal C (2012), Volume 72, Issue 3,1952

10.1140/epjc/s10052-012-1952-y

null

hep-th hep-ph

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

In this article, we extend the %Weyl-van der Waerden spinor technique for calculating helicity amplitudes to general massive fields of half-integer spins. We find that the little group generators can be represented as first-order differential operators in the spinor formalism. We use the spinor forms of the generators to get the explicit form of the massive fields of any spin and any helicity. We also deal with the three-particle S-matrix by these spinor form generators, and find that we are able to extend the explicit form of the three-particle vertex obtained by Benincasa and Cachazo to the massive case. We present the explicit expressions for the amplitudes with external particles of the lowest helicities up to -3/2. Group theory, in the form of raising operators of the little group, then dictates other amplitudes with higher helicity in the same spin multiplets. The formalism allows, in principle, to determine the electromagnetic form-factors of charged particles of arbitrary helicities, without additional assumptions about the underlying lagrangian. We find that restrictions which follow from gauge and Lorentz invariance are nearly as restrictive as in the massless case.

[ { "created": "Thu, 19 May 2011 12:19:27 GMT", "version": "v1" }, { "created": "Fri, 6 Apr 2012 02:13:40 GMT", "version": "v2" } ]

2012-04-09

[ [ "Chen", "Gang", "" ], [ "Savvidy", "Konstantin G.", "" ] ]

In this article, we extend the %Weyl-van der Waerden spinor technique for calculating helicity amplitudes to general massive fields of half-integer spins. We find that the little group generators can be represented as first-order differential operators in the spinor formalism. We use the spinor forms of the generators to get the explicit form of the massive fields of any spin and any helicity. We also deal with the three-particle S-matrix by these spinor form generators, and find that we are able to extend the explicit form of the three-particle vertex obtained by Benincasa and Cachazo to the massive case. We present the explicit expressions for the amplitudes with external particles of the lowest helicities up to -3/2. Group theory, in the form of raising operators of the little group, then dictates other amplitudes with higher helicity in the same spin multiplets. The formalism allows, in principle, to determine the electromagnetic form-factors of charged particles of arbitrary helicities, without additional assumptions about the underlying lagrangian. We find that restrictions which follow from gauge and Lorentz invariance are nearly as restrictive as in the massless case.

10.182175

9.87904

9.829832

9.061378

9.144721

10.058953

10.881919

9.513148

9.245536

10.563362

9.247253

8.988142

9.099264

8.619876

8.939589

8.81251

9.12428

8.907429

8.819962

9.028029

8.983644

1311.4882

Chaolun Wu

Dam Thanh Son and Chaolun Wu

Holographic Spontaneous Parity Breaking and Emergent Hall Viscosity and Angular Momentum

55 pages, 1 figure. Version 2: angular momentum calculation revised; referenced added

JHEP 07 (2014) 076

10.1007/JHEP07(2014)076

null

hep-th

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

We study the spontaneous parity breaking and generating of Hall viscosity and angular momentum in holographic p+ip model, which can describe strongly-coupled chiral superfluid states in many quantum systems. The dual gravity theory, an SU(2) gauge field minimally coupled to Einstein gravity, is parity-invariant but allows a black hole solution with vector hair corresponding to a parity-broken superfluid state. We show that this state possesses a non-vanishing parity-odd transport coefficient -- Hall viscosity -- and an angular momentum density. We first develop an analytic method to solve this model near the critical regime and to take back-reactions into account. Then we solve the equation for the tensor mode fluctuations and obtain the expression for Hall viscosity via Kubo formula. We also show that a non-vanishing angular momentum density can be obtained through the vector mode fluctuations and the corresponding boundary action. We give analytic results of both Hall viscosity and angular momentum density near the critical regime in terms of physical parameters. The near-critical behavior of Hall viscosity is different from that obtained from a gravitational Chern-Simons model. We find that the magnitude of Hall viscosity to angular momentum density ratio is numerically consistent with being equal to 1/2 at large SU(2) coupling corresponding to the probe limit, in agreement with previous results obtained for various quantum fluid systems and from effective theory approaches. In addition, we find the shear viscosity to entropy density ratio remains above the universal bound.

[ { "created": "Tue, 19 Nov 2013 21:00:01 GMT", "version": "v1" }, { "created": "Sat, 30 Aug 2014 11:40:32 GMT", "version": "v2" } ]

2014-09-02

[ [ "Son", "Dam Thanh", "" ], [ "Wu", "Chaolun", "" ] ]

We study the spontaneous parity breaking and generating of Hall viscosity and angular momentum in holographic p+ip model, which can describe strongly-coupled chiral superfluid states in many quantum systems. The dual gravity theory, an SU(2) gauge field minimally coupled to Einstein gravity, is parity-invariant but allows a black hole solution with vector hair corresponding to a parity-broken superfluid state. We show that this state possesses a non-vanishing parity-odd transport coefficient -- Hall viscosity -- and an angular momentum density. We first develop an analytic method to solve this model near the critical regime and to take back-reactions into account. Then we solve the equation for the tensor mode fluctuations and obtain the expression for Hall viscosity via Kubo formula. We also show that a non-vanishing angular momentum density can be obtained through the vector mode fluctuations and the corresponding boundary action. We give analytic results of both Hall viscosity and angular momentum density near the critical regime in terms of physical parameters. The near-critical behavior of Hall viscosity is different from that obtained from a gravitational Chern-Simons model. We find that the magnitude of Hall viscosity to angular momentum density ratio is numerically consistent with being equal to 1/2 at large SU(2) coupling corresponding to the probe limit, in agreement with previous results obtained for various quantum fluid systems and from effective theory approaches. In addition, we find the shear viscosity to entropy density ratio remains above the universal bound.

9.401845

9.396894

9.869712

9.097411

9.344413

9.579695

10.150566

9.843145

9.34176

10.302502

9.332243

9.336984

9.414003

9.076719

9.235067

9.256807

9.231591

8.945607

9.248824

9.395231

9.032938

0706.1667

Alessio Marrani

S. Ferrara, A. Marrani

On the Moduli Space of non-BPS Attractors for N=2 Symmetric Manifolds

1+11 pages, 4 Tables

Phys.Lett.B652:111-117,2007

10.1016/j.physletb.2007.07.001

CERN-PH-TH/2007-094; UCLA/07/TEP/15

hep-th

null

We study the ``flat'' directions of non-BPS extremal black hole attractors for N=2, d=4 supergravities whose vector multiplets' scalar manifold is endowed with homogeneous symmetric special Kahler geometry. The non-BPS attractors with non-vanishing central charge have a moduli space described by real special geometry (and thus related to the d=5 parent theory), whereas the moduli spaces of non-BPS attractors with vanishing central charge are certain Kahler homogeneous symmetric manifolds. The moduli spaces of the non-BPS attractors of the corresponding N=2, d=5 theories are also indicated, and shown to be rank-1 homogeneous symmetric manifolds.

[ { "created": "Tue, 12 Jun 2007 12:07:16 GMT", "version": "v1" } ]

2008-11-26

[ [ "Ferrara", "S.", "" ], [ "Marrani", "A.", "" ] ]

We study the ``flat'' directions of non-BPS extremal black hole attractors for N=2, d=4 supergravities whose vector multiplets' scalar manifold is endowed with homogeneous symmetric special Kahler geometry. The non-BPS attractors with non-vanishing central charge have a moduli space described by real special geometry (and thus related to the d=5 parent theory), whereas the moduli spaces of non-BPS attractors with vanishing central charge are certain Kahler homogeneous symmetric manifolds. The moduli spaces of the non-BPS attractors of the corresponding N=2, d=5 theories are also indicated, and shown to be rank-1 homogeneous symmetric manifolds.

8.023534

6.990617

9.349298

7.023894

6.906217

6.467504

7.127015

6.518333

6.778051

9.518779

6.844512

7.603557

8.466413

7.552933

7.440175

7.487229

7.113947

7.669234

7.550938

8.210581

7.134435

hep-th/0406143

Nicholas Halmagyi

Nick Halmagyi, Christian Romelsberger, Nicholas P. Warner

Inherited Duality and Quiver Gauge Theory

23 pages, 1 figure

Adv.Theor.Math.Phys.10:159-179,2006

null

hep-th

null

We study the duality group of $\hat{A}_{n-1}$ quiver gauge theories, primarily using their M5-brane construction. For $\mathcal{N}=2$ supersymmetry, this duality group was first noted by Witten to be the mapping class group of a torus with $n$ punctures. We find that it is a certain quotient of this group that acts faithfully on gauge couplings. This quotient group contains the affine Weyl group of $\hat{A}_{n-1}$, $\mathbb{Z}_n$ and $SL(2,\mathbb{Z})$. In fact there are $n$ non-commuting $SL(2,\mathbb{Z})$ subgroups, related to each other by conjugation using the $\mathbb{Z}_n$. When supersymmetry is broken to $\mathcal{N}=1$ by masses for the adjoint chiral superfields, an RG flow ensues which is believed to terminate at a CFT in the infrared. We find the explicit action of this duality group for small values of the adjoint masses, paying special attention to when the sum of the masses is non-zero. In the $\mathcal{N}=1$ CFT, Seiberg duality acts non-trivially on both gauge couplings and superpotential couplings and we interpret this duality as inherited from the $\mathcal{N}=2$ parent theory. We conjecture the action of S-duality in the CFT based on our results for small mass deformations. We also consider non-conformal deformations of these $\mathcal{N}=1$ theories. The cascading RG flows that ensue are a one-parameter generalization of those found by Klebanov and Strassler and by Cachazo {\it et. al.}. The universality exhibited by these flows is shown to be a simple consequence of paths generated by the action of the affine Weyl group.

[ { "created": "Wed, 16 Jun 2004 21:18:17 GMT", "version": "v1" }, { "created": "Tue, 22 Mar 2005 23:17:13 GMT", "version": "v2" } ]

2017-09-07

[ [ "Halmagyi", "Nick", "" ], [ "Romelsberger", "Christian", "" ], [ "Warner", "Nicholas P.", "" ] ]

We study the duality group of $\hat{A}_{n-1}$ quiver gauge theories, primarily using their M5-brane construction. For $\mathcal{N}=2$ supersymmetry, this duality group was first noted by Witten to be the mapping class group of a torus with $n$ punctures. We find that it is a certain quotient of this group that acts faithfully on gauge couplings. This quotient group contains the affine Weyl group of $\hat{A}_{n-1}$, $\mathbb{Z}_n$ and $SL(2,\mathbb{Z})$. In fact there are $n$ non-commuting $SL(2,\mathbb{Z})$ subgroups, related to each other by conjugation using the $\mathbb{Z}_n$. When supersymmetry is broken to $\mathcal{N}=1$ by masses for the adjoint chiral superfields, an RG flow ensues which is believed to terminate at a CFT in the infrared. We find the explicit action of this duality group for small values of the adjoint masses, paying special attention to when the sum of the masses is non-zero. In the $\mathcal{N}=1$ CFT, Seiberg duality acts non-trivially on both gauge couplings and superpotential couplings and we interpret this duality as inherited from the $\mathcal{N}=2$ parent theory. We conjecture the action of S-duality in the CFT based on our results for small mass deformations. We also consider non-conformal deformations of these $\mathcal{N}=1$ theories. The cascading RG flows that ensue are a one-parameter generalization of those found by Klebanov and Strassler and by Cachazo {\it et. al.}. The universality exhibited by these flows is shown to be a simple consequence of paths generated by the action of the affine Weyl group.

4.845943

4.948102

5.309795

4.874108

4.820333

4.929882

4.977814

4.971479

4.881068

5.580167

4.717586

4.859269

5.014648

4.830585

4.814081

4.818477

4.779095

4.804095

4.869907

5.094319

4.844525

hep-th/0503235

Juraj Bohacik

J. Bohacik and P. Presnajder

Functional integral with "phi^4" term in the action beyond standard perturbative methods

We clarify the proofs of the formulas, add a discussions of the mathematical steps

null

hep-th

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

We propose the another, in principe nonperturbative, method of the evaluatiom of the Wiener functional integral for "phi^4" term in the action. We find the "generalized" Gelfand-Yaglom differential equation implying the functional integral in the continuum limit.

[ { "created": "Wed, 30 Mar 2005 14:07:40 GMT", "version": "v1" }, { "created": "Thu, 18 Dec 2008 11:26:06 GMT", "version": "v2" } ]

2008-12-18

[ [ "Bohacik", "J.", "" ], [ "Presnajder", "P.", "" ] ]

We propose the another, in principe nonperturbative, method of the evaluatiom of the Wiener functional integral for "phi^4" term in the action. We find the "generalized" Gelfand-Yaglom differential equation implying the functional integral in the continuum limit.

22.157705

24.106007

24.913071

19.371368

19.824612

21.895243

20.463449

20.261057

21.729488

21.429276

19.174528

19.385206

21.18075

19.509987

20.556597

20.017084

19.932846

20.348442

19.728781

21.199198

20.358467

0705.3847

Justin F. Vazquez-Poritz

Mirjam Cvetic, Justin F. Vazquez-Poritz

Warped Resolved L^{a,b,c} Cones

28 pages, 4 figures, additional references

Phys.Rev.D77:126003,2008

10.1103/PhysRevD.77.126003

UPR-1181-T, MIFP-07-03

hep-th

null

We construct supergravity solutions describing a stack of D3-branes localized at a point on a blown-up cycle of a resolved L^{a,b,c} cone. The geometry flows from AdS_5 x L^{a,b,c} to AdS_5 x S^5/Z_k. The corresponding quiver gauge theory undergoes an RG flow between two superconformal fixed points, which leads to semi-infinite chains of flows between the various L^{a,b,c} fixed points. The general system is described by a triplet of Heun equations which can each be solved by an expansion with a three-term recursion relation, though there are closed-form solutions for certain cases. This enables us to read off the operators which acquire non-zero vacuum expectation values as the quiver gauge theory flows away from a fixed point.

[ { "created": "Mon, 28 May 2007 19:53:21 GMT", "version": "v1" }, { "created": "Tue, 5 Feb 2008 17:43:01 GMT", "version": "v2" } ]

2008-11-26

[ [ "Cvetic", "Mirjam", "" ], [ "Vazquez-Poritz", "Justin F.", "" ] ]

We construct supergravity solutions describing a stack of D3-branes localized at a point on a blown-up cycle of a resolved L^{a,b,c} cone. The geometry flows from AdS_5 x L^{a,b,c} to AdS_5 x S^5/Z_k. The corresponding quiver gauge theory undergoes an RG flow between two superconformal fixed points, which leads to semi-infinite chains of flows between the various L^{a,b,c} fixed points. The general system is described by a triplet of Heun equations which can each be solved by an expansion with a three-term recursion relation, though there are closed-form solutions for certain cases. This enables us to read off the operators which acquire non-zero vacuum expectation values as the quiver gauge theory flows away from a fixed point.

9.058099

8.506119

10.831248

8.141404

9.083872

9.300838

8.428359

8.011125

8.042207

12.403293

7.959486

8.287876

9.236763

8.466763

8.126927

8.33676

8.19295

8.184376

8.369752

8.717654

8.029344

2102.11294

Mike Blake

Mike Blake and Hong Liu

On systems of maximal quantum chaos

28 pages, 3 figures, v2: minor clarification added, v3: typos corrected

null

10.1007/JHEP05(2021)229

MIT-CTP/5283

hep-th cond-mat.str-el nlin.CD nucl-th quant-ph

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

A remarkable feature of chaos in many-body quantum systems is the existence of a bound on the quantum Lyapunov exponent. An important question is to understand what is special about maximally chaotic systems which saturate this bound. Here we provide further evidence for the `hydrodynamic' origin of chaos in such systems, and discuss hallmarks of maximally chaotic systems. We first provide evidence that a hydrodynamic effective field theory of chaos we previously proposed should be understood as a theory of maximally chaotic systems. We then emphasize and make explicit a signature of maximal chaos which was only implicit in prior literature, namely the suppression of exponential growth in commutator squares of generic few-body operators. We provide a general argument for this suppression within our chaos effective field theory, and illustrate it using SYK models and holographic systems. We speculate that this suppression indicates that the nature of operator scrambling in maximally chaotic systems is fundamentally different to scrambling in non-maximally chaotic systems. We also discuss a simplest scenario for the existence of a maximally chaotic regime at sufficiently large distances even for non-maximally chaotic systems.

[ { "created": "Mon, 22 Feb 2021 19:00:09 GMT", "version": "v1" }, { "created": "Fri, 14 May 2021 08:55:16 GMT", "version": "v2" }, { "created": "Tue, 1 Jun 2021 11:58:09 GMT", "version": "v3" } ]

2023-01-11

[ [ "Blake", "Mike", "" ], [ "Liu", "Hong", "" ] ]

A remarkable feature of chaos in many-body quantum systems is the existence of a bound on the quantum Lyapunov exponent. An important question is to understand what is special about maximally chaotic systems which saturate this bound. Here we provide further evidence for the `hydrodynamic' origin of chaos in such systems, and discuss hallmarks of maximally chaotic systems. We first provide evidence that a hydrodynamic effective field theory of chaos we previously proposed should be understood as a theory of maximally chaotic systems. We then emphasize and make explicit a signature of maximal chaos which was only implicit in prior literature, namely the suppression of exponential growth in commutator squares of generic few-body operators. We provide a general argument for this suppression within our chaos effective field theory, and illustrate it using SYK models and holographic systems. We speculate that this suppression indicates that the nature of operator scrambling in maximally chaotic systems is fundamentally different to scrambling in non-maximally chaotic systems. We also discuss a simplest scenario for the existence of a maximally chaotic regime at sufficiently large distances even for non-maximally chaotic systems.

8.355977

9.111747

9.235975

8.344742

8.110826

8.335766

8.297238

8.113393

7.894053

9.152784

8.121253

7.53388

8.219547

8.056082

7.911648

7.993949

7.555615

7.851095

7.812907

8.1819

7.478336

1512.06418

Konstantinos Siampos

Ignatios Antoniadis, Jean-Pierre Derendinger, P. Marios Petropoulos, Konstantinos Siampos

Heisenberg symmetry and hypermultiplet manifolds

1+24 pages, Latex; v2: few minor changes, NPB version, v3: Correcting a typo in Eqs. (2.9), (2.10), (2.12)

null

10.1016/j.nuclphysb.2016.02.021

CPHT-040.1015

hep-th

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

We study the emergence of Heisenberg (Bianchi II) algebra in hyper-K\"ahler and quaternionic spaces. This is motivated by the r\^ole these spaces with this symmetry play in $\mathcal{N}=2$ hypermultiplet scalar manifolds. We show how to construct related pairs of hyper-K\"ahler and quaternionic spaces under general symmetry assumptions, the former being a zooming-in limit of the latter at vanishing cosmological constant. We further apply this method for the two hyper-K\"ahler spaces with Heisenberg algebra, which is reduced to $U(1)\times U(1)$ at the quaternionic level. We also show that no quaternionic spaces exist with a strict Heisenberg symmetry -- as opposed to $\text{Heisenberg} \ltimes U(1)$. We finally discuss the realization of the latter by gauging appropriate $Sp(2,4)$ generators in $\mathcal{N}=2$ conformal supergravity.

[ { "created": "Sun, 20 Dec 2015 18:28:44 GMT", "version": "v1" }, { "created": "Tue, 15 Mar 2016 14:37:47 GMT", "version": "v2" }, { "created": "Sun, 3 Dec 2017 09:23:00 GMT", "version": "v3" } ]

2017-12-05

[ [ "Antoniadis", "Ignatios", "" ], [ "Derendinger", "Jean-Pierre", "" ], [ "Petropoulos", "P. Marios", "" ], [ "Siampos", "Konstantinos", "" ] ]

We study the emergence of Heisenberg (Bianchi II) algebra in hyper-K\"ahler and quaternionic spaces. This is motivated by the r\^ole these spaces with this symmetry play in $\mathcal{N}=2$ hypermultiplet scalar manifolds. We show how to construct related pairs of hyper-K\"ahler and quaternionic spaces under general symmetry assumptions, the former being a zooming-in limit of the latter at vanishing cosmological constant. We further apply this method for the two hyper-K\"ahler spaces with Heisenberg algebra, which is reduced to $U(1)\times U(1)$ at the quaternionic level. We also show that no quaternionic spaces exist with a strict Heisenberg symmetry -- as opposed to $\text{Heisenberg} \ltimes U(1)$. We finally discuss the realization of the latter by gauging appropriate $Sp(2,4)$ generators in $\mathcal{N}=2$ conformal supergravity.

8.631701

8.662452

9.427354

8.526027

8.952862

8.933987

9.394541

8.536125

8.610236

10.464655

8.71893

8.370562

8.509896

8.080594

8.098516

8.337667

8.578257

8.137845

8.066411

8.003192

8.114657

1101.2935

Wen-Li Yang

Wen-Li Yang, Xi Chen, Jun Feng, Kun Hao, Ke Wu, Zhan-Ying Yang and Yao-Zhong Zhang

Drinfeld twist and symmetric Bethe vectors of the open XYZ chain with non-diagonal boundary terms

Latex file, 25 pages

null

10.1088/0253-6102/57/1/05

null

hep-th math-ph math.MP

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

With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid (SOS) model, we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form. This allows us to obtain the explicit and completely symmetric expressions of the two sets of Bethe states of the model.

[ { "created": "Sat, 15 Jan 2011 00:55:42 GMT", "version": "v1" } ]

2015-05-27

[ [ "Yang", "Wen-Li", "" ], [ "Chen", "Xi", "" ], [ "Feng", "Jun", "" ], [ "Hao", "Kun", "" ], [ "Wu", "Ke", "" ], [ "Yang", "Zhan-Ying", "" ], [ "Zhang", "Yao-Zhong", "" ] ]

With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid (SOS) model, we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form. This allows us to obtain the explicit and completely symmetric expressions of the two sets of Bethe states of the model.

17.053854

9.164917

18.731346

11.149372

9.449313

9.681434

9.447027

10.090855

11.056278

18.625355

12.140254

11.919394

14.665163

12.663383

12.567233

12.392756

11.783077

12.259629

13.135761

15.037871

13.606048

hep-th/9701154

Kalyan Rama

S. Kalyana Rama

Can String Theory Avoid Cosmological Singularities?

14 pages. Latex file

Phys.Lett. B408 (1997) 91-97

10.1016/S0370-2693(97)00795-8

MRI-PHY/97-2

hep-th

null

We consider the effective action for strings and describe in detail the evolution of a four dimensional homogeneous isotropic universe with matter included. We find that the evolution, which is singular in general, becomes singularity free if during certain Phase of the evolution, when the scale factor increases and the effective string coupling becomes strong, the universe is dominated by solitonic p-branes, p = 0 and/or - 1, or by `matter' for which $(pressure) \le - \frac{1}{\sqrt{3}} (density)$. The mechanism in the case of branes is reminiscent of the recently discovered field theory mechanism where heavy states become light and resolve the moduli space singularities.

[ { "created": "Tue, 28 Jan 1997 07:32:10 GMT", "version": "v1" } ]

2009-10-30

[ [ "Rama", "S. Kalyana", "" ] ]

We consider the effective action for strings and describe in detail the evolution of a four dimensional homogeneous isotropic universe with matter included. We find that the evolution, which is singular in general, becomes singularity free if during certain Phase of the evolution, when the scale factor increases and the effective string coupling becomes strong, the universe is dominated by solitonic p-branes, p = 0 and/or - 1, or by `matter' for which $(pressure) \le - \frac{1}{\sqrt{3}} (density)$. The mechanism in the case of branes is reminiscent of the recently discovered field theory mechanism where heavy states become light and resolve the moduli space singularities.

15.945988

16.66914

15.778179

14.385814

15.280238

15.199081

14.792587

14.160531

14.395833

18.152113

14.22873

14.029806

15.29663

14.206898

14.64316

15.035875

14.305613

14.312353

14.618401

15.524834

14.178679

0706.3151

Alberto Mariotti

A.Amariti, L.Girardello, A.Mariotti

Meta-stable A_n quiver gauge theories

Minor corrections, reference added, published in JHEP

JHEP 0710:017,2007

10.1088/1126-6708/2007/10/017

null

hep-th

null

We study metastable dynamical breaking of supersymmetry in A_n quiver gauge theories. We present a general analysis and criteria for the perturbative existence of metastable vacua in quivers of any length. Different mechanisms of gauge mediation can be realized.

[ { "created": "Thu, 21 Jun 2007 19:21:35 GMT", "version": "v1" }, { "created": "Tue, 9 Oct 2007 17:03:39 GMT", "version": "v2" } ]

2009-04-17

[ [ "Amariti", "A.", "" ], [ "Girardello", "L.", "" ], [ "Mariotti", "A.", "" ] ]

We study metastable dynamical breaking of supersymmetry in A_n quiver gauge theories. We present a general analysis and criteria for the perturbative existence of metastable vacua in quivers of any length. Different mechanisms of gauge mediation can be realized.

15.472884

10.644612

13.810085

11.358867

10.928201

11.281714

11.57559

11.146746

10.649281

13.602299

10.025329

11.151322

13.880541

11.749447

11.77947

11.067189

11.70927

11.73783

11.712285

14.397679

11.251451

hep-th/9603073

Katsushi Ito

Katsushi Ito and Sung-Kil Yang

Picard-Fuchs Equations and Prepotentials in $N=2$ Supersymmetric QCD

14 pages, latex; (To appear in the proceedings of the Workshop "Frontiers in Quantum Field Theory'', Osaka, Japan, December 14-17, 1995)

null

UTHEP-330

hep-th

null

The Picard-Fuchs equations for $N=2$ supersymmetric $SU(N_{c})$ Yang-Mills theories with massless hypermultiplets are obtained for $N_{c}=2$ and $3$. For $SU(2)$ we derive the non-linear differential equations for the prepotentials and calculate full non-perturbative corrections to the effective gauge coupling constant in the weak and strong coupling regions.

[ { "created": "Tue, 12 Mar 1996 11:34:47 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ito", "Katsushi", "" ], [ "Yang", "Sung-Kil", "" ] ]

The Picard-Fuchs equations for $N=2$ supersymmetric $SU(N_{c})$ Yang-Mills theories with massless hypermultiplets are obtained for $N_{c}=2$ and $3$. For $SU(2)$ we derive the non-linear differential equations for the prepotentials and calculate full non-perturbative corrections to the effective gauge coupling constant in the weak and strong coupling regions.

5.605996

4.713404

5.770229

4.804832

4.719337

4.583083

4.588218

4.907241

4.795042

5.813465

4.870557

4.980631

5.122735

5.071162

4.983914

5.090106

5.055688

5.057037

4.905947

5.110772

5.028173

0707.2786

Joao M. Baptista

J. M. Baptista

Twisting gauged non-linear sigma-models

33 pages; v2: small additions, published version

JHEP 0802:096,2008

10.1088/1126-6708/2008/02/096

ITFA-2007-31

hep-th math.DG

null

We consider gauged sigma-models from a Riemann surface into a Kaehler and hamiltonian G-manifold X. The supersymmetric N=2 theory can always be twisted to produce a gauged A-model. This model localizes to the moduli space of solutions of the vortex equations and computes the Hamiltonian Gromov-Witten invariants. When the target is equivariantly Calabi-Yau, i.e. when its first G-equivariant Chern class vanishes, the supersymmetric theory can also be twisted into a gauged B-model. This model localizes to the Kaehler quotient X//G.

[ { "created": "Wed, 18 Jul 2007 19:02:10 GMT", "version": "v1" }, { "created": "Wed, 26 Mar 2008 18:45:49 GMT", "version": "v2" } ]

2009-04-30

[ [ "Baptista", "J. M.", "" ] ]

We consider gauged sigma-models from a Riemann surface into a Kaehler and hamiltonian G-manifold X. The supersymmetric N=2 theory can always be twisted to produce a gauged A-model. This model localizes to the moduli space of solutions of the vortex equations and computes the Hamiltonian Gromov-Witten invariants. When the target is equivariantly Calabi-Yau, i.e. when its first G-equivariant Chern class vanishes, the supersymmetric theory can also be twisted into a gauged B-model. This model localizes to the Kaehler quotient X//G.

7.151395

7.881866

10.46879

7.494522

8.271681

7.101545

8.337661

8.156651

6.849086

12.274815

6.611349

7.470089

8.719646

7.402094

7.805669

7.320396

7.68634

7.654257

7.198153

8.633845

7.417561

2210.03015

Alessia Segati

Antonio Amariti, Alessia Segati

Kerr-Newman black holes from $\mathcal{N}=1^*$

32 pages

null

10.1007/JHEP06(2023)216

null

hep-th

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

The microstate counting of charged rotating AdS$_5$ supersymmetric black holes has been reformulated in terms of an extremization problem, obtained from the superconformal index of the 4d dual SCFT. On the gravitational side this problem corresponds to the attractor mechanism of the theory KK reduced on AdS$_4$. Such procedure has indeed been successfully applied to some consistent truncations with a known field theory dual description. In this paper we study the case of the Leigh-Strassler fixed point along these lines, finding an agreement between the field theory and the gravitational results.

[ { "created": "Thu, 6 Oct 2022 16:03:44 GMT", "version": "v1" } ]

2023-07-26

[ [ "Amariti", "Antonio", "" ], [ "Segati", "Alessia", "" ] ]

The microstate counting of charged rotating AdS$_5$ supersymmetric black holes has been reformulated in terms of an extremization problem, obtained from the superconformal index of the 4d dual SCFT. On the gravitational side this problem corresponds to the attractor mechanism of the theory KK reduced on AdS$_4$. Such procedure has indeed been successfully applied to some consistent truncations with a known field theory dual description. In this paper we study the case of the Leigh-Strassler fixed point along these lines, finding an agreement between the field theory and the gravitational results.

9.541887

9.78808

11.095953

8.884986

9.425136

8.946613

9.370453

8.722947

8.391449

11.152009

8.522376

8.647976

9.436366

8.555526

8.79246

8.906252

8.89464

8.753237

8.616816

9.294648

8.744466

hep-th/0105251

Sergio Doplicher

Spacetime and Fields, a Quantum Texture

LaTeX, 15 pages. Misprints and wording corrected, references added; change in section 3. Related references: hep-th/0303037, hep-th/0201222, hep-th/0301100

Proceedings of the 37th Karpacz Winter School of Theoretical Physics, 2001, 204-213

10.1063/1.1419326

null

hep-th gr-qc quant-ph

null

We report on joint work, past and in progress, with K.Fredenhagen and with J.E,Roberts, on the quantum structure of spacetime in the small which is dictated by the principles of Quantum Mechanics and of General Relativity; we comment on how these principles point to a deep link between coordinates and fields. This is an expanded version of a lecture delivered at the 37th Karpacz School in Theoretical Physics, February 2001.

[ { "created": "Thu, 24 May 2001 16:21:37 GMT", "version": "v1" }, { "created": "Wed, 5 Mar 2003 18:14:18 GMT", "version": "v2" } ]

2009-11-07

[ [ "Doplicher", "Sergio", "" ] ]

We report on joint work, past and in progress, with K.Fredenhagen and with J.E,Roberts, on the quantum structure of spacetime in the small which is dictated by the principles of Quantum Mechanics and of General Relativity; we comment on how these principles point to a deep link between coordinates and fields. This is an expanded version of a lecture delivered at the 37th Karpacz School in Theoretical Physics, February 2001.

12.003565

12.847923

12.686634

11.921156

12.822725

12.135334

13.054492

12.044549

11.848808

12.48282

10.993637

11.321483

12.266641

11.422293

10.721546

11.799933

11.781245

11.421754

11.876925

12.417113

11.510369

0903.1186

Deger Nihat Sadik

Nihat Sadik Deger and Ali Kaya

Chern-Simons S-Brane Solutions in M-theory and Accelerating Cosmologies

18 pages, v3: a new static solution and references added, v4: references added, to appear in JHEP

JHEP 0904:109,2009

10.1088/1126-6708/2009/04/109

null

hep-th gr-qc

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

We construct an intersecting S-brane solution of 11-dimensional supergravity for which the contribution of the Chern-Simons term to the field equations is non-zero. After studying some of its properties, we consider three different compactifications (each with 3 separate subcases) of this system to 4-dimensions. Two of these give accelerating cosmologies, however their expansion factors are of order unity. We also find two static versions of this configuration and its dimensional reduction to type IIA theory.

[ { "created": "Fri, 6 Mar 2009 10:51:09 GMT", "version": "v1" }, { "created": "Sat, 7 Mar 2009 11:51:59 GMT", "version": "v2" }, { "created": "Tue, 17 Mar 2009 17:57:57 GMT", "version": "v3" }, { "created": "Fri, 24 Apr 2009 13:27:58 GMT", "version": "v4" } ]

2009-05-01

[ [ "Deger", "Nihat Sadik", "" ], [ "Kaya", "Ali", "" ] ]

We construct an intersecting S-brane solution of 11-dimensional supergravity for which the contribution of the Chern-Simons term to the field equations is non-zero. After studying some of its properties, we consider three different compactifications (each with 3 separate subcases) of this system to 4-dimensions. Two of these give accelerating cosmologies, however their expansion factors are of order unity. We also find two static versions of this configuration and its dimensional reduction to type IIA theory.

11.900815

11.771683

13.255567

10.81574

11.877636

10.480437

10.873721

9.999482

10.613394

12.173801

10.614009

11.703428

12.307662

11.272176

11.82867

11.511824

11.423548

11.387162

10.84429

11.837133

11.087795

hep-th/9807143

Eduardo Ramos

Armen Nersessian and Eduardo Ramos

Massive spinning particles and the geometry of null curves

11 pages, LaTeX (elsart macros)

Phys.Lett. B445 (1998) 123-128

10.1016/S0370-2693(98)01408-7

null

hep-th

null

We study the simplest geometrical particle model associated with null paths in four-dimensional Minkowski space-time. The action is given by the pseudo-arclength of the particle worldline. We show that the reduced classical phase space of this system coincides with that of a massive spinning particle of spin $s=\alpha^2/M$, where $M$ is the particle mass, and $\alpha$ is the coupling constant in front of the action. Consistency of the associated quantum theory requires the spin $s$ to be an integer or half integer number, thus implying a quantization condition on the physical mass $M$ of the particle. Then, standard quantization techniques show that the corresponding Hilbert spaces are solution spaces of the standard relativistic massive wave equations. Therefore this geometrical particle model provides us with an unified description of Dirac fermions ($s=1/2$) and massive higher spin fields.

[ { "created": "Mon, 20 Jul 1998 09:50:42 GMT", "version": "v1" } ]

2009-10-31

[ [ "Nersessian", "Armen", "" ], [ "Ramos", "Eduardo", "" ] ]

We study the simplest geometrical particle model associated with null paths in four-dimensional Minkowski space-time. The action is given by the pseudo-arclength of the particle worldline. We show that the reduced classical phase space of this system coincides with that of a massive spinning particle of spin $s=\alpha^2/M$, where $M$ is the particle mass, and $\alpha$ is the coupling constant in front of the action. Consistency of the associated quantum theory requires the spin $s$ to be an integer or half integer number, thus implying a quantization condition on the physical mass $M$ of the particle. Then, standard quantization techniques show that the corresponding Hilbert spaces are solution spaces of the standard relativistic massive wave equations. Therefore this geometrical particle model provides us with an unified description of Dirac fermions ($s=1/2$) and massive higher spin fields.

7.256292

6.991133

7.361934

6.807724

7.448825

7.291996

7.07849

6.830578

7.095274

7.594763

6.831593

6.876281

7.295756

6.970714

7.12664

6.828511

6.982719

6.967649

6.949511

7.205242

6.921469

hep-th/9303109

Fiorenzo Bastianelli

Fiorenzo Bastianelli and Ulf Lindstrom

Induced Chiral Supergravities in 2D

28 pages, TeX, (improved text, unchanged conclusions), USITP-93-04

Nucl.Phys. B416 (1994) 227-254

10.1016/0550-3213(94)90584-3

null

hep-th

null

We analyze actions for 2D supergravities induced by chiral conformal supermatter. The latter may be thought as described at the classical level by superspace actions invariant under super-reparametrization, super-Weyl and super-Lorentz transformations. Upon quantization various anomalies appear which characterize the non-trivial induced actions for the supergravitational sector. We derive these induced actions using a chiral boson to represent the chiral inducing matter. We show that they can be defined in a super-reparametrization invariant way, but with super-Weyl and super-Lorentz anomalies. We consider the case of $(1,0)$ and $(1,1)$ supergravities by working in their respective superspace formulations and investigate their quantization in the conformal gauge. The actions we consider arise naturally in off-critical heterotic and spinning strings. In the conformal gauge, they correspond to chiral extensions of the super-Liouville theory.

[ { "created": "Fri, 19 Mar 1993 09:12:00 GMT", "version": "v1" }, { "created": "Wed, 28 Jul 1993 10:31:49 GMT", "version": "v2" } ]

2009-10-22

[ [ "Bastianelli", "Fiorenzo", "" ], [ "Lindstrom", "Ulf", "" ] ]

We analyze actions for 2D supergravities induced by chiral conformal supermatter. The latter may be thought as described at the classical level by superspace actions invariant under super-reparametrization, super-Weyl and super-Lorentz transformations. Upon quantization various anomalies appear which characterize the non-trivial induced actions for the supergravitational sector. We derive these induced actions using a chiral boson to represent the chiral inducing matter. We show that they can be defined in a super-reparametrization invariant way, but with super-Weyl and super-Lorentz anomalies. We consider the case of $(1,0)$ and $(1,1)$ supergravities by working in their respective superspace formulations and investigate their quantization in the conformal gauge. The actions we consider arise naturally in off-critical heterotic and spinning strings. In the conformal gauge, they correspond to chiral extensions of the super-Liouville theory.

10.950927

9.892524

11.628703

9.953522

10.631178

10.37242

10.135032

10.232395

9.911623

12.647968

9.71452

10.392628

10.665878

10.459619

10.240926

10.689633

10.662642

10.367904

10.406159

10.828522

10.111663

1301.2017

Ardian Nata Atmaja

Application of Harmonic Maps $CP^{(N-1)}$ on SU(N) Bogomolny Equation for BPS Magnetic Monopoles

Master Thesis, 48 pages, two figures

null

hep-th

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

In this thesis we study dynamic of magnetic monopoles from Lagrangian density in Yang-Mills-Higgs field theory. In particular, we discuss BPS (Bogomolny Prasad Sommerfield) magnetic monopoles, described by SU(N) Bogomolny equations, which has field equations in form of non-linear coupled matrix field equations. One of the methods to simplify SU(N) Bogomolny equations is by using harmonic maps $CP^{(N-1)}$. This method has relation with $Gr(n,N)} \sigma$-model and can transform SU(N) Bogomolny equation into more simple scalar field equations that depends only on one variable. As an example, we consider the case of SU(2) Bogomolny equation.

[ { "created": "Thu, 10 Jan 2013 02:40:06 GMT", "version": "v1" } ]

2013-01-11

[ [ "Atmaja", "Ardian Nata", "" ] ]

In this thesis we study dynamic of magnetic monopoles from Lagrangian density in Yang-Mills-Higgs field theory. In particular, we discuss BPS (Bogomolny Prasad Sommerfield) magnetic monopoles, described by SU(N) Bogomolny equations, which has field equations in form of non-linear coupled matrix field equations. One of the methods to simplify SU(N) Bogomolny equations is by using harmonic maps $CP^{(N-1)}$. This method has relation with $Gr(n,N)} \sigma$-model and can transform SU(N) Bogomolny equation into more simple scalar field equations that depends only on one variable. As an example, we consider the case of SU(2) Bogomolny equation.

9.481119

9.105239

9.202481

8.412313

9.52921

10.440011

10.000041

9.494377

9.041028

9.38588

8.767659

8.616857

8.722968

8.784739

8.831467

8.920605

8.629577

8.743176

8.768978

9.36395

9.146853

2104.11661

Alesandro Santos

G. X. A. Petronilo, R. G. G. Amorim, S. C. Ulhoa, A. F. Santos, A. E. Santana and Faqir C. Khanna

Size-effect at finite temperature in a quark-antiquark effective model in phase space

20 pages, 5 figures, accepted for publication in IJMPA

null

10.1142/S0217751X21501219

null

hep-th

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

A quark-antiquark effective model is studied in a toroidal topology at finite temperature. The model is described by a Schr\"odinger equation with linear potential which is embedded in a torus. The following aspects are analysed: (i) the nonclassicality structure using the Wigner function formalism; (ii) finite temperature and size-effects are studied by a generalization of Thermofield Dynamics written in phase space; (iii) in order to include the spin of the quark, Pauli-like Schr\"odinger equation is used; (iv) analysis of the size-effect is considered to observe the fluctuation in the ground state. The size effect goes to zero at zero, finite and high temperatures. The results emphasize that the spin is a central aspect for this quark-antiquark effective model.

[ { "created": "Fri, 23 Apr 2021 15:25:22 GMT", "version": "v1" } ]

2021-07-07

[ [ "Petronilo", "G. X. A.", "" ], [ "Amorim", "R. G. G.", "" ], [ "Ulhoa", "S. C.", "" ], [ "Santos", "A. F.", "" ], [ "Santana", "A. E.", "" ], [ "Khanna", "Faqir C.", "" ] ]

A quark-antiquark effective model is studied in a toroidal topology at finite temperature. The model is described by a Schr\"odinger equation with linear potential which is embedded in a torus. The following aspects are analysed: (i) the nonclassicality structure using the Wigner function formalism; (ii) finite temperature and size-effects are studied by a generalization of Thermofield Dynamics written in phase space; (iii) in order to include the spin of the quark, Pauli-like Schr\"odinger equation is used; (iv) analysis of the size-effect is considered to observe the fluctuation in the ground state. The size effect goes to zero at zero, finite and high temperatures. The results emphasize that the spin is a central aspect for this quark-antiquark effective model.

11.199958

11.408565

10.358838

10.312863

11.467173

11.358537

11.410872

10.882643

10.320613

10.736498

10.689422

10.009227

10.186936

10.125515

10.114163

9.974284

9.991306

9.993189

10.001419

10.101896

9.9733

0710.1833

David Kutasov

Amit Giveon and David Kutasov

Stable and Metastable Vacua in Brane Constructions of SQCD

28 pages, 10 figures

JHEP 0802:038,2008

10.1088/1126-6708/2008/02/038

null

hep-th

null

In a recent paper [1] we showed that N=1 supersymmetric QCD in the presence of certain superpotential deformations has a rich landscape of supersymmetric and non-supersymmetric vacua. In this paper we embed this theory in string theory as a low energy theory of intersecting NS and D-branes. We find that in the region of parameter space of brane configurations that can be reliably studied using classical string theory, the vacuum structure is qualitatively similar to that in the field theory regime. Effects that in field theory come from one loop corrections arise in string theory as classical gravitational effects. The brane construction provides a useful guide to the structure of stable and metastable gauge theory vacua.

[ { "created": "Tue, 9 Oct 2007 17:42:26 GMT", "version": "v1" } ]

2014-11-18

[ [ "Giveon", "Amit", "" ], [ "Kutasov", "David", "" ] ]

In a recent paper [1] we showed that N=1 supersymmetric QCD in the presence of certain superpotential deformations has a rich landscape of supersymmetric and non-supersymmetric vacua. In this paper we embed this theory in string theory as a low energy theory of intersecting NS and D-branes. We find that in the region of parameter space of brane configurations that can be reliably studied using classical string theory, the vacuum structure is qualitatively similar to that in the field theory regime. Effects that in field theory come from one loop corrections arise in string theory as classical gravitational effects. The brane construction provides a useful guide to the structure of stable and metastable gauge theory vacua.

7.436922

6.326345

7.599097

6.977212

6.620649

6.482223

6.659675

6.634532

6.559311

7.103332

6.717258

7.083324

7.451986

7.009008

6.956498

6.782514

6.997261

6.829049

6.873133

7.042408

6.870423

hep-th/0505002

Gonzalo Torroba MsC

C. D. Fosco, G. Torroba

Zero modes in non local domain walls

Latex. 10 pages, 2 figures

Phys.Lett. B620 (2005) 174-179

10.1016/j.physletb.2005.06.039

null

hep-th

null

We generalize the Callan-Harvey mechanism to the case of actions with a non local mass term for the fermions. Using a 2+1-dimensional model as a concrete example, we show that both the existence and properties of localized zero modes can also be consistently studied when the mass is non local. We derive some general properties from a study of the resulting integral equations, and consider their realization in a concrete example.

[ { "created": "Fri, 29 Apr 2005 23:42:42 GMT", "version": "v1" } ]

2009-11-11

[ [ "Fosco", "C. D.", "" ], [ "Torroba", "G.", "" ] ]

We generalize the Callan-Harvey mechanism to the case of actions with a non local mass term for the fermions. Using a 2+1-dimensional model as a concrete example, we show that both the existence and properties of localized zero modes can also be consistently studied when the mass is non local. We derive some general properties from a study of the resulting integral equations, and consider their realization in a concrete example.

12.715054

11.434674

12.315432

11.139112

11.88408

11.832813

11.659939

12.158552

11.431771

13.48564

11.025081

10.926332

11.360543

10.835087

11.120214

11.786679

11.395815

10.283809

11.07838

11.369967

11.434598

hep-th/9309081

null

J.-G. Demers

Hermiticity and the Cohomology Condition in Topological Yang-Mills Theory

19 pages, MIT-CTP 2233

Annals Phys. 233 (1994) 281-294

10.1006/aphy.1994.1069

null

hep-th

null

The symmetries of the topological Yang-Mills theory are studied in the Hamiltonian formalism and the generators of the twisted N=2 superPoincar\'e algebra are explicitly constructed. Noting that the twisted Lorentz generators do not generate the Lorentz symmetry of the theory, we relate the two by extracting from the latter the twisted version of the internal SU(2) generator. The hermiticity properties of the various generators are also considered throughout, and the boost generators are found to be non-hermitian. We then recover the BRST cohomology condition on physical states from representation theory arguments.

[ { "created": "Tue, 14 Sep 1993 21:45:32 GMT", "version": "v1" } ]

2016-09-06

[ [ "Demers", "J. -G.", "" ] ]

The symmetries of the topological Yang-Mills theory are studied in the Hamiltonian formalism and the generators of the twisted N=2 superPoincar\'e algebra are explicitly constructed. Noting that the twisted Lorentz generators do not generate the Lorentz symmetry of the theory, we relate the two by extracting from the latter the twisted version of the internal SU(2) generator. The hermiticity properties of the various generators are also considered throughout, and the boost generators are found to be non-hermitian. We then recover the BRST cohomology condition on physical states from representation theory arguments.

9.220567

8.301999

9.182885

8.307442

8.725871

7.97249

7.855171

7.850801

8.104845

9.634407

7.96861

8.473118

8.896262

8.335595

7.981326

8.239178

8.242841

8.314687

8.400299

8.975541

8.260477

hep-th/0507194

Joohan Lee

Soon-Tae Hong, Joohan Lee, Tae Hoon Lee, Phillial Oh

N=4 Supersymmetric Quantum Mechanics with Magnetic Monopole

7 pages

Phys.Lett. B628 (2005) 165-170

10.1016/j.physletb.2005.09.024

null

hep-th

null

We propose an N=4 supersymmetric quantum mechanics of a charged particle on a sphere in the background of Dirac magnetic monopole and study the system using the CP(1) model approach. We explicitly calculate the symmetry algebra taking the operator ordering ambiguity into consideration. We find that it is given by the superalgebra SU(1|2)x SU(2). We show that the Hamiltonian can be written in terms of the Casimir invariant of SU(2). Using this relation and the lower bound for angular momentm we obtain the energy spectrum. We then examine the ground energy sector to find that the N=4 supersymmetry is spontaneously broken to N=2 for certain values of the monopole charge.

[ { "created": "Wed, 20 Jul 2005 13:39:46 GMT", "version": "v1" } ]

2009-11-11

[ [ "Hong", "Soon-Tae", "" ], [ "Lee", "Joohan", "" ], [ "Lee", "Tae Hoon", "" ], [ "Oh", "Phillial", "" ] ]

We propose an N=4 supersymmetric quantum mechanics of a charged particle on a sphere in the background of Dirac magnetic monopole and study the system using the CP(1) model approach. We explicitly calculate the symmetry algebra taking the operator ordering ambiguity into consideration. We find that it is given by the superalgebra SU(1|2)x SU(2). We show that the Hamiltonian can be written in terms of the Casimir invariant of SU(2). Using this relation and the lower bound for angular momentm we obtain the energy spectrum. We then examine the ground energy sector to find that the N=4 supersymmetry is spontaneously broken to N=2 for certain values of the monopole charge.

8.234628

7.854449

8.372886

7.021476

7.526706

7.459322

7.710867

7.454365

7.386229

9.389155

7.518741

7.460024

8.036859

7.667357

7.383815

7.59747

7.450488

7.603985

7.596556

8.085905

7.258322

hep-th/0409043

Yutaka Sakamura

Geometry mediated supersymmetry breaking

4 pages, contribution to the Proceedings of the 12th International Conference on Supersymmetry and Unification of the Fundamental Interactions, June 17-23, 2004, Tsukuba, Japan

null

KAIST-TH 2004/12

hep-th

null

We investigate SUSY breaking mediated through the deformation of the spacetime geometry due to the backreaction of a nontrivial configuration of a bulk scalar field. To illustrate its features, we work with a toy model in which the bulk is four dimensions. Using the superconformal formulation of SUGRA, we provide a systematic method of deriving the 3D effective action expressed by the superfields.

[ { "created": "Fri, 3 Sep 2004 11:00:35 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sakamura", "Yutaka", "" ] ]

We investigate SUSY breaking mediated through the deformation of the spacetime geometry due to the backreaction of a nontrivial configuration of a bulk scalar field. To illustrate its features, we work with a toy model in which the bulk is four dimensions. Using the superconformal formulation of SUGRA, we provide a systematic method of deriving the 3D effective action expressed by the superfields.

10.986084

7.856018

9.344411

8.361433

7.438956

8.360353

7.744601

8.66928

8.218497

10.374738

8.635379

9.98089

10.027731

9.557271

9.840759

9.584956

9.563911

9.535602

9.890108

10.640583

9.656104

hep-th/9511090

Jose Gaite

Jose Gaite and Denjoe O'Connor

Field Theory Entropy, the $H$-theorem and the Renormalization Group

25 pages, plain TeX (macros included), 6 ps figures. Addition in title. Entropy of cutoff Gaussian model modified in section 4 to avoid a divergence. Therefore, last figure modified. Other minor changes to improve readability. Version to appear in Phys. Rev. D

Phys.Rev.D54:5163-5173,1996

10.1103/PhysRevD.54.5163

DIAS-STP-95-36, ITFA-94-36

hep-th adap-org cond-mat nlin.AO

null

We consider entropy and relative entropy in Field theory and establish relevant monotonicity properties with respect to the couplings. The relative entropy in a field theory with a hierarchy of renormalization group fixed points ranks the fixed points, the lowest relative entropy being assigned to the highest multicritical point. We argue that as a consequence of a generalized $H$ theorem Wilsonian RG flows induce an increase in entropy and propose the relative entropy as the natural quantity which increases from one fixed point to another in more than two dimensions.

[ { "created": "Mon, 13 Nov 1995 22:29:48 GMT", "version": "v1" }, { "created": "Mon, 22 Jul 1996 19:48:16 GMT", "version": "v2" } ]

2008-11-26

[ [ "Gaite", "Jose", "" ], [ "O'Connor", "Denjoe", "" ] ]

We consider entropy and relative entropy in Field theory and establish relevant monotonicity properties with respect to the couplings. The relative entropy in a field theory with a hierarchy of renormalization group fixed points ranks the fixed points, the lowest relative entropy being assigned to the highest multicritical point. We argue that as a consequence of a generalized $H$ theorem Wilsonian RG flows induce an increase in entropy and propose the relative entropy as the natural quantity which increases from one fixed point to another in more than two dimensions.

16.539202

13.802028

16.926344

13.898719

14.173657

12.720536

12.414796

14.20558

13.980789

19.489899

13.841516

14.864606

16.021189

15.391727

15.06428

15.150919

14.883699

15.769401

14.579473

16.349247

14.904934

hep-th/9806041

null

Changhyun Ahn, Kyungho Oh and Radu Tatar

Branes, Orbifolds and the Three Dimensional ${\cal N} = 2$ SCFT in the Large N limit

Latex, 11 pages, final version

JHEP 9811 (1998) 024

10.1088/1126-6708/1998/11/024

SNUTP-98-045, APCTP-98-018, UM-TG-209

hep-th

null

We study the correspondence between the large $N$ limit of ${\cal N} = 2$ three dimensional superconformal field theories and M theory on orbifolds of $AdS_4 \times {\bf S^7}$. We identify the brane configuration which gives $C^3/Z_3$ as a background for the M theory in terms of a Brane Box Model or a (p, q) web model. By taking the orbifold projection on the known spectrum of Kaluza-Klein harmonics of supergravity, we obtain information about the chiral primary operators at the orbifold singularities.

[ { "created": "Thu, 4 Jun 1998 19:20:33 GMT", "version": "v1" }, { "created": "Fri, 5 Jun 1998 02:51:41 GMT", "version": "v2" }, { "created": "Thu, 11 Jun 1998 15:07:15 GMT", "version": "v3" }, { "created": "Wed, 6 Jan 1999 23:54:28 GMT", "version": "v4" } ]

2009-10-31

[ [ "Ahn", "Changhyun", "" ], [ "Oh", "Kyungho", "" ], [ "Tatar", "Radu", "" ] ]

We study the correspondence between the large $N$ limit of ${\cal N} = 2$ three dimensional superconformal field theories and M theory on orbifolds of $AdS_4 \times {\bf S^7}$. We identify the brane configuration which gives $C^3/Z_3$ as a background for the M theory in terms of a Brane Box Model or a (p, q) web model. By taking the orbifold projection on the known spectrum of Kaluza-Klein harmonics of supergravity, we obtain information about the chiral primary operators at the orbifold singularities.

7.321101

6.439031

9.230953

6.037251

6.265051

6.28457

6.450109

6.160892

5.996134

8.569226

6.077425

6.567759

7.664348

6.626373

7.018988

6.705667

6.536942

6.69038

6.387077

7.634227

6.366416

hep-th/9410080

null

L.Maiani and M.Testa

Causality in Local Quantum Field Theory

compressed uu encoded ps file, 9 pages, Roma 1044

Phys. Lett. B356 (1995) 319

10.1016/0370-2693(95)00800-Z

null

hep-th hep-ph

null

The problem of causality is analyzed in the context of Local Quantum Field Theory. Contrary to recent claims, it is shown that apparent noncausal behaviour is due to a lack of the notion of sharp localizability for a relativistic quantum system. (Replaced corrupted file)

[ { "created": "Tue, 11 Oct 1994 18:26:00 GMT", "version": "v1" }, { "created": "Wed, 12 Oct 1994 19:50:00 GMT", "version": "v2" } ]

2009-10-28

[ [ "Maiani", "L.", "" ], [ "Testa", "M.", "" ] ]

The problem of causality is analyzed in the context of Local Quantum Field Theory. Contrary to recent claims, it is shown that apparent noncausal behaviour is due to a lack of the notion of sharp localizability for a relativistic quantum system. (Replaced corrupted file)

16.794714

14.306619

12.325589

12.558305

15.41246

14.808211

14.069139

12.427113

13.324156

14.675982

14.014812

14.520721

13.844764

14.192461

14.842589

14.249592

14.638284

14.797853

13.845298

14.458149

14.346602

0706.3658

Jerzy Kowalski-Glikman

L. Freidel, J. Kowalski-Glikman and S. Nowak

Field theory on $\kappa$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry

22 pages, 1 figure, formulas in sect. III corrected

Int.J.Mod.Phys.A23:2687-2718,2008

10.1142/S0217751X08040421

null

hep-th

null

This paper is devoted to detailed investigations of free scalar field theory on $\kappa$-Minkowski space. After reviewing necessary mathematical tools we discuss in depth the Lagrangian and solutions of field equations. We analyze the spacetime symmetries of the model and construct the conserved charges associated with translational and Lorentz symmetry. We show that the version of the theory usually studied breaks Lorentz invariance in a subtle way: There is an additional trans-Planckian mode present, and an associated conserved charge (the number of such modes) is not a Lorentz scalar.

[ { "created": "Mon, 25 Jun 2007 14:39:17 GMT", "version": "v1" }, { "created": "Thu, 26 Jul 2007 09:46:25 GMT", "version": "v2" } ]

2008-11-26

[ [ "Freidel", "L.", "" ], [ "Kowalski-Glikman", "J.", "" ], [ "Nowak", "S.", "" ] ]

This paper is devoted to detailed investigations of free scalar field theory on $\kappa$-Minkowski space. After reviewing necessary mathematical tools we discuss in depth the Lagrangian and solutions of field equations. We analyze the spacetime symmetries of the model and construct the conserved charges associated with translational and Lorentz symmetry. We show that the version of the theory usually studied breaks Lorentz invariance in a subtle way: There is an additional trans-Planckian mode present, and an associated conserved charge (the number of such modes) is not a Lorentz scalar.

9.041166

8.256742

9.188198

8.549671

8.403687

8.184694

8.371634

8.667351

8.502507

9.451959

8.073271

8.091675

9.016639

8.380629

8.415279

8.668145

8.454643

8.535925

8.272929

9.046002

8.191379

1602.01382

Emanuel Scheidegger

Johanna Knapp, Mauricio Romo, Emanuel Scheidegger

Hemisphere Partition Function and Analytic Continuation to the Conifold Point

65 pages

null

hep-th math.AG

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

We show that the hemisphere partition function for certain U(1) gauged linear sigma models (GLSMs) with D-branes is related to a particular set of Mellin-Barnes integrals which can be used for analytic continuation to the singular point in the K\"ahler moduli space of an $h^{1,1}=1$ Calabi-Yau (CY) projective hypersurface. We directly compute the analytic continuation of the full quantum corrected central charge of a basis of geometric D-branes from the large volume to the singular point. In the mirror language this amounts to compute the analytic continuation of a basis of periods on the mirror CY to the conifold point. However, all calculations are done in the GLSM and we do not have to refer to the mirror CY. We apply our methods explicitly to the cubic, quartic and quintic CY hypersurfaces.

[ { "created": "Wed, 3 Feb 2016 17:32:31 GMT", "version": "v1" } ]

2016-02-04

[ [ "Knapp", "Johanna", "" ], [ "Romo", "Mauricio", "" ], [ "Scheidegger", "Emanuel", "" ] ]

We show that the hemisphere partition function for certain U(1) gauged linear sigma models (GLSMs) with D-branes is related to a particular set of Mellin-Barnes integrals which can be used for analytic continuation to the singular point in the K\"ahler moduli space of an $h^{1,1}=1$ Calabi-Yau (CY) projective hypersurface. We directly compute the analytic continuation of the full quantum corrected central charge of a basis of geometric D-branes from the large volume to the singular point. In the mirror language this amounts to compute the analytic continuation of a basis of periods on the mirror CY to the conifold point. However, all calculations are done in the GLSM and we do not have to refer to the mirror CY. We apply our methods explicitly to the cubic, quartic and quintic CY hypersurfaces.

7.374295

7.684016

9.045383

7.194863

7.229209

7.558514

6.677962

7.340406

6.892114

10.027122

6.803791

6.659563

7.461645

6.886444

6.939867

6.855345

6.999191

6.72589

6.859013

7.752239

6.595573

1704.04255

Yang Zhang

Jorrit Bosma, Mads Sogaard, Yang Zhang

Maximal Cuts in Arbitrary Dimension

typos corrected, more references added

null

10.1007/JHEP08(2017)051

null

hep-th hep-ph

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

We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several planar and nonplanar integral topologies and demonstrate that the maximal cut inherits IBPs and dimension shift identities satisfied by the uncut integral. Furthermore, for the examples we calculated, we find that the maximal cut functions from different allowed regions, form the Wronskian matrix of the differential equations on the maximal cut.

[ { "created": "Thu, 13 Apr 2017 19:04:52 GMT", "version": "v1" }, { "created": "Sat, 27 May 2017 02:21:15 GMT", "version": "v2" } ]

2017-09-13

[ [ "Bosma", "Jorrit", "" ], [ "Sogaard", "Mads", "" ], [ "Zhang", "Yang", "" ] ]

We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several planar and nonplanar integral topologies and demonstrate that the maximal cut inherits IBPs and dimension shift identities satisfied by the uncut integral. Furthermore, for the examples we calculated, we find that the maximal cut functions from different allowed regions, form the Wronskian matrix of the differential equations on the maximal cut.

12.253396

12.744466

13.084459

11.71729

12.8004

12.689509

12.382017

12.524528

12.094821

13.396991

12.165088

12.51009

11.881663

11.682188

11.791226

12.26743

12.281507

12.238019

11.5928

12.298512

11.564845

hep-th/0509030

Duoje Jia

Dual Superconductivity from Yang-Mills Theory via Connection Decomposition

null

NWNU-PHY20050102

hep-th

null

We derive an Abelian-Higgs-like action from SU(2) Yang-Mills theory via monopole-condensation assumption. Abelian projection as well as chromo-'electric-magnetic' duality are naturally realized by separating the small off-diagonal gluon part from diagonal gluon field according to the order of inverse coupling constant($1/g$). It is shown that Abelian dominance can follow from infrared behavior of ranning coupling constant and the mass generation of chromo-electric field as well as off-diagonal gluon is due to the quantum fluctuation of orientation of Abelian direction. Dual superconductivity of theory vacuum is confirmed by deriving dual London equation for chromo-electronic field.

[ { "created": "Sat, 3 Sep 2005 08:00:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "Jia", "Duoje", "" ] ]

We derive an Abelian-Higgs-like action from SU(2) Yang-Mills theory via monopole-condensation assumption. Abelian projection as well as chromo-'electric-magnetic' duality are naturally realized by separating the small off-diagonal gluon part from diagonal gluon field according to the order of inverse coupling constant($1/g$). It is shown that Abelian dominance can follow from infrared behavior of ranning coupling constant and the mass generation of chromo-electric field as well as off-diagonal gluon is due to the quantum fluctuation of orientation of Abelian direction. Dual superconductivity of theory vacuum is confirmed by deriving dual London equation for chromo-electronic field.

14.689338

16.63434

17.307915

14.652278

15.701818

15.722107

16.336491

15.618432

14.796121

16.880199

14.571202

14.212088

14.721965

14.631978

14.90834

14.462514

13.930373

14.809097

14.469057

14.551823

13.763964

hep-th/9907112

Marco Serone

Claudio A. Scrucca and Marco Serone

Anomaly cancellation in K3 orientifolds

39 pages, LaTex, 1 figure; minor misprints corrected

Nucl.Phys. B564 (2000) 555-590

10.1016/S0550-3213(99)00643-4

UvA-WINS-Wisk-99-10; LMU-TPW 99-13

hep-th

null

We study in detail the pattern of anomaly cancellation in D=6 Type IIB Z_N orientifolds, occurring through a generalized Green-Schwarz mechanism involving several RR antisymmetric tensors and scalars fields. The starting point is a direct string theory computation of the inflow of anomaly arising from magnetic interaction of D-branes, O-planes and fixed-points, which are encoded in topological one-loop partition functions in the RR odd spin-structure. All the RR anomalous couplings of these objects are then obtained by factorization. They are responsible for a spontaneous breaking of U(1) factors through a Higgs mechanism involving the corresponding hypermultiplets. Some of them are also related by supersymmetry to gauge couplings involving the NSNS scalars sitting in the tensor multiplets. We also comment on the possible occurrence of tensionless strings when these couplings diverge.

[ { "created": "Wed, 14 Jul 1999 18:46:59 GMT", "version": "v1" }, { "created": "Thu, 29 Jul 1999 14:23:56 GMT", "version": "v2" }, { "created": "Wed, 6 Oct 1999 11:48:08 GMT", "version": "v3" } ]

2009-10-31

[ [ "Scrucca", "Claudio A.", "" ], [ "Serone", "Marco", "" ] ]

We study in detail the pattern of anomaly cancellation in D=6 Type IIB Z_N orientifolds, occurring through a generalized Green-Schwarz mechanism involving several RR antisymmetric tensors and scalars fields. The starting point is a direct string theory computation of the inflow of anomaly arising from magnetic interaction of D-branes, O-planes and fixed-points, which are encoded in topological one-loop partition functions in the RR odd spin-structure. All the RR anomalous couplings of these objects are then obtained by factorization. They are responsible for a spontaneous breaking of U(1) factors through a Higgs mechanism involving the corresponding hypermultiplets. Some of them are also related by supersymmetry to gauge couplings involving the NSNS scalars sitting in the tensor multiplets. We also comment on the possible occurrence of tensionless strings when these couplings diverge.

13.481976

12.768666

15.247779

12.299622

13.1547

12.637551

13.208275

13.082641

12.292764

15.11145

12.059036

12.009645

12.550268

11.812502

11.876615

12.030022

12.40899

12.206026

12.046907

12.933159

12.270457

2305.04730

Ioannis Kalogerakis PhD

Ioannis Kalogerakis

A study of Bosonic and Fermionic Theories at Large Charge

doctoral thesis

null

hep-th

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

The aim of this thesis is to systematically and consistently study strongly coupled bosonic and fermionic conformal field theories using the large quantum number expansion. The idea behind it is to study sectors of conformal field theories that are characterised by large quantum numbers under global symmetries. In this limit, the conformal field theories, even if they initially were strongly coupled and interacting, can now be written in terms of an effective field theory that is weakly coupled. Some common effective field theories that appear in the literature are the bosonic conformal superfluid and the Fermi sphere, condensed matter systems characterised by a high particle density, making the study of such systems a cross-disciplinary matter.

[ { "created": "Mon, 8 May 2023 14:29:46 GMT", "version": "v1" }, { "created": "Tue, 9 May 2023 08:09:52 GMT", "version": "v2" } ]

2023-05-10

[ [ "Kalogerakis", "Ioannis", "" ] ]

The aim of this thesis is to systematically and consistently study strongly coupled bosonic and fermionic conformal field theories using the large quantum number expansion. The idea behind it is to study sectors of conformal field theories that are characterised by large quantum numbers under global symmetries. In this limit, the conformal field theories, even if they initially were strongly coupled and interacting, can now be written in terms of an effective field theory that is weakly coupled. Some common effective field theories that appear in the literature are the bosonic conformal superfluid and the Fermi sphere, condensed matter systems characterised by a high particle density, making the study of such systems a cross-disciplinary matter.

11.082197

11.146132

10.681747

9.315744

10.824149

11.123221

10.987857

11.152189

10.49487

11.495481

10.053468

9.612079

9.916058

9.691852

9.904324

9.987984

9.595239

9.890119

9.564671

10.129006

9.733336

1208.3968

Takahisa Igata

Takahisa Igata, Hideki Ishihara, Keisuke Nishiwaki

Stationary Closed Strings in Five-dimensional Flat Spacetime

22 pages, 17 figures

null

10.1103/PhysRevD.86.104020

OCU-PHYS 368, AP-GR-99

hep-th

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

We investigate stationary rotating closed Nambu-Goto strings in five-dimensional flat spacetime. The stationary string is defined as a worldsheet that is tangent to a timelike Killing vector. Nambu-Goto equation of motion for the stationary string is reduces to the geodesic equation on the orbit space of the isometry group action generated by the Killing vector. We take a linear combination of a time-translation vector and space-rotation vectors as the Killing vector, and explicitly construct general solutions of stationary rotating closed strings in five-dimensional flat spacetime. We show a variety of their configurations and properties.

[ { "created": "Mon, 20 Aug 2012 10:37:42 GMT", "version": "v1" } ]

2013-05-30

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

We investigate stationary rotating closed Nambu-Goto strings in five-dimensional flat spacetime. The stationary string is defined as a worldsheet that is tangent to a timelike Killing vector. Nambu-Goto equation of motion for the stationary string is reduces to the geodesic equation on the orbit space of the isometry group action generated by the Killing vector. We take a linear combination of a time-translation vector and space-rotation vectors as the Killing vector, and explicitly construct general solutions of stationary rotating closed strings in five-dimensional flat spacetime. We show a variety of their configurations and properties.

7.043035

6.623612

6.357227

6.381844

6.897198

6.32095

6.505434

6.626912

6.112638

6.687003

6.482326

6.712601

6.613153

6.660236

6.867835

6.667307

6.747075

6.802186

6.419113

6.726426

6.526337

1312.4518

I. V. Kanatchikov

I.V. Kanatchikov

On the precanonical structure of the Schr\"odinger wave functional

19 pages. v2: a misprint in Arxiv abstract is corrected. v3: slightly improved linguistically, accepted by ATMP

Adv. Theor. Math. Phys. 20 (2016) 1377-1396

null

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

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

We show that the Schr\"odinger wave functional may be obtained as the product integral of precanonical wave functions on the space of field and space-time variables. The functional derivative Schr\"odinger equation underlying the canonical field quantization is derived from the partial derivative covariant analogue of the Schr\"odinger equation, which appears in the precanonical field quantization based on the De Donder-Weyl generalization of the Hamiltonian formalism for field theory. The representations of precanonical quantum operators typically contain an ultraviolet parameter $\varkappa$ of the dimension of the inverse spatial volume. The transition from the precanonical description of quantum fields in terms of Clifford-valued wave functions and partial derivative operators to the standard functional Schr\"odinger representation obtained from canonical quantization is accomplished if $\frac{1}{\varkappa}\rightarrow 0$ and $\frac{1}{\varkappa}\gamma_0$ is mapped to the infinitesimal spatial volume element $\mathrm{d}\mathbf{x}$. Thus the standard QFT obtained via canonical quantization corresponds to the quantum theory of fields derived via precanonical quantization in the limiting case of an infinitesimal value of the parameter $\frac{1}{\varkappa}$.

[ { "created": "Mon, 16 Dec 2013 20:49:16 GMT", "version": "v1" }, { "created": "Tue, 17 Dec 2013 18:35:21 GMT", "version": "v2" }, { "created": "Tue, 8 Mar 2016 04:56:16 GMT", "version": "v3" } ]

2017-01-26

[ [ "Kanatchikov", "I. V.", "" ] ]

We show that the Schr\"odinger wave functional may be obtained as the product integral of precanonical wave functions on the space of field and space-time variables. The functional derivative Schr\"odinger equation underlying the canonical field quantization is derived from the partial derivative covariant analogue of the Schr\"odinger equation, which appears in the precanonical field quantization based on the De Donder-Weyl generalization of the Hamiltonian formalism for field theory. The representations of precanonical quantum operators typically contain an ultraviolet parameter $\varkappa$ of the dimension of the inverse spatial volume. The transition from the precanonical description of quantum fields in terms of Clifford-valued wave functions and partial derivative operators to the standard functional Schr\"odinger representation obtained from canonical quantization is accomplished if $\frac{1}{\varkappa}\rightarrow 0$ and $\frac{1}{\varkappa}\gamma_0$ is mapped to the infinitesimal spatial volume element $\mathrm{d}\mathbf{x}$. Thus the standard QFT obtained via canonical quantization corresponds to the quantum theory of fields derived via precanonical quantization in the limiting case of an infinitesimal value of the parameter $\frac{1}{\varkappa}$.

6.57751

7.077916

7.353419

6.326335

6.860771

6.677924

6.688283

6.746195

6.81187

7.020857

6.516945

6.582232

6.657844

6.513261

6.681236

6.563598

6.667649

6.555334

6.389468

6.538996

6.290024

1605.09175

Alberto Alonso-Izquierdo Dr

A. Alonso-Izquierdo, J. Mateos Guilarte and M. de la Torre Mayado

Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts

25 pages, 2 figures

Phys. Rev. D 94, 045008 (2016)

10.1103/PhysRevD.94.045008

null

hep-th

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

Spectral heat kernel/zeta function regularization procedures are employed in this paper to control the divergences arising from vacuum fluctuations of Bogomolnyi-Prasad-Sommerfield vortices in the Abelian Higgs model. Zero modes of vortex fluctuations are the source of difficulties appearing when the standard Gilkey-de Witt expansion is performed. A modified GdW expansion is developed to diminish the impact of the infrared divergences due to the vortex zero modes. With this new technique at our disposal we compute the one-loop vortex mass shift in the planar AHM and the quantum corrections to the string tension of the magnetic flux tubes living in three dimensions. In both cases it is observed that weak repulsive forces surge between these classically non interacting topological defects caused by vacuum quantum fluctuations.

[ { "created": "Mon, 30 May 2016 11:13:11 GMT", "version": "v1" }, { "created": "Mon, 5 Sep 2016 14:24:02 GMT", "version": "v2" } ]

2016-09-06

[ [ "Alonso-Izquierdo", "A.", "" ], [ "Guilarte", "J. Mateos", "" ], [ "Mayado", "M. de la Torre", "" ] ]

Spectral heat kernel/zeta function regularization procedures are employed in this paper to control the divergences arising from vacuum fluctuations of Bogomolnyi-Prasad-Sommerfield vortices in the Abelian Higgs model. Zero modes of vortex fluctuations are the source of difficulties appearing when the standard Gilkey-de Witt expansion is performed. A modified GdW expansion is developed to diminish the impact of the infrared divergences due to the vortex zero modes. With this new technique at our disposal we compute the one-loop vortex mass shift in the planar AHM and the quantum corrections to the string tension of the magnetic flux tubes living in three dimensions. In both cases it is observed that weak repulsive forces surge between these classically non interacting topological defects caused by vacuum quantum fluctuations.

12.949903

11.386557

12.789205

11.710512

14.410129

13.028445

12.739705

12.146221

12.780965

16.794987

11.823375

12.222876

12.262678

12.231129

12.519697

12.517979

12.038465

11.819466

12.108497

12.852491

12.284449

1701.02090

Branko Dragovich

Ivan Dimitrijevic, Branko Dragovich, Jelena Stankovic, Alexey S. Koshelev and Zoran Rakic

On Nonlocal Modified Gravity and its Cosmological Solutions

16 pages

Springer Proceedings in Mathematics & Statistics 191 (2016) 35-51

10.1007/978-981-10-2636-2_3

null

hep-th astro-ph.CO gr-qc

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

During hundred years of General Relativity (GR), many significant gravitational phenomena have been predicted and discovered. General Relativity is still the best theory of gravity. Nevertheless, some (quantum) theoretical and (astrophysical and cosmological) phenomenological difficulties of modern gravity have been motivation to search more general theory of gravity than GR. As a result, many modifications of GR have been considered. One of promising recent investigations is Nonlocal Modified Gravity. In this article we present a brief review of some nonlocal gravity models with their cosmological solutions, in which nonlocality is expressed by an analytic function of the d'Alembert-Beltrami operator $\Box$. Some new results are also presented.

[ { "created": "Mon, 9 Jan 2017 08:30:17 GMT", "version": "v1" } ]

2017-01-10

[ [ "Dimitrijevic", "Ivan", "" ], [ "Dragovich", "Branko", "" ], [ "Stankovic", "Jelena", "" ], [ "Koshelev", "Alexey S.", "" ], [ "Rakic", "Zoran", "" ] ]

During hundred years of General Relativity (GR), many significant gravitational phenomena have been predicted and discovered. General Relativity is still the best theory of gravity. Nevertheless, some (quantum) theoretical and (astrophysical and cosmological) phenomenological difficulties of modern gravity have been motivation to search more general theory of gravity than GR. As a result, many modifications of GR have been considered. One of promising recent investigations is Nonlocal Modified Gravity. In this article we present a brief review of some nonlocal gravity models with their cosmological solutions, in which nonlocality is expressed by an analytic function of the d'Alembert-Beltrami operator $\Box$. Some new results are also presented.

9.468409

9.557317

8.780372

8.874254

8.545836

8.754107

9.531356

8.725702

9.380351

9.829314

9.187951

8.592231

8.41338

8.371328

8.458512

8.621277

8.37604

8.630238

8.506929

8.512808

8.629258

1909.02001

Raphael Bousso

Raphael Bousso, Arvin Shahbazi-Moghaddam, Marija Tomasevic

Quantum Information Bound on the Energy

47 pages, 10 figures

Phys. Rev. D 100, 126010 (2019)

10.1103/PhysRevD.100.126010

null

hep-th gr-qc

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

According to the classical Penrose inequality, the mass at spatial infinity is bounded from below by a function of the area of certain trapped surfaces. We exhibit quantum field theory states that violate this relation at the semiclassical level. We formulate a Quantum Penrose Inequality, by replacing the area with the generalized entropy of the lightsheet of an appropriate quantum trapped surface. We perform a number of nontrivial tests of our proposal, and we consider and rule out alternative formulations. We also discuss the relation to weak cosmic censorhip.

[ { "created": "Wed, 4 Sep 2019 18:00:00 GMT", "version": "v1" } ]

2019-12-18

[ [ "Bousso", "Raphael", "" ], [ "Shahbazi-Moghaddam", "Arvin", "" ], [ "Tomasevic", "Marija", "" ] ]

According to the classical Penrose inequality, the mass at spatial infinity is bounded from below by a function of the area of certain trapped surfaces. We exhibit quantum field theory states that violate this relation at the semiclassical level. We formulate a Quantum Penrose Inequality, by replacing the area with the generalized entropy of the lightsheet of an appropriate quantum trapped surface. We perform a number of nontrivial tests of our proposal, and we consider and rule out alternative formulations. We also discuss the relation to weak cosmic censorhip.

9.605066

11.512398

9.318644

9.334814

9.893085

9.829762

10.587934

9.427374

8.93043

10.01701

9.124007

9.091249

9.594526

8.827785

9.26769

9.2907

9.358653

8.863207

9.275949

9.514137

8.897064

hep-th/0502136

Torquil MacDonald Sorensen

Numerical Solution of the Ekpyrotic Scenario in the Moduli Space Approximation

5 pages, 7 figures, RevTeX4, fixed typos, added some small comments

Phys.Rev. D71 (2005) 107302

10.1103/PhysRevD.71.107302

null

hep-th

null

A numerical solution to the equations of motion for the ekpyrotic bulk brane scenario in the moduli space approximation is presented. The visible universe brane has positive tension, and we use a potential that goes to zero exponentially at large distance, and also goes to zero at small distance. In the case considered, no bulk brane, visible brane collision occurs in the solution. This property and the general behavior of the solution is qualitatively the same when the visible brane tension is negative, and for many different parameter choices.

[ { "created": "Tue, 15 Feb 2005 13:11:45 GMT", "version": "v1" }, { "created": "Thu, 17 Feb 2005 12:59:45 GMT", "version": "v2" }, { "created": "Wed, 25 May 2005 19:01:47 GMT", "version": "v3" } ]

2007-05-23

[ [ "Sorensen", "Torquil MacDonald", "" ] ]

A numerical solution to the equations of motion for the ekpyrotic bulk brane scenario in the moduli space approximation is presented. The visible universe brane has positive tension, and we use a potential that goes to zero exponentially at large distance, and also goes to zero at small distance. In the case considered, no bulk brane, visible brane collision occurs in the solution. This property and the general behavior of the solution is qualitatively the same when the visible brane tension is negative, and for many different parameter choices.

10.208962

10.813435

11.154171

9.974607

9.270673

10.762524

10.367728

10.115663

10.141917

11.178232

9.76043

9.718277

9.646736

9.945152

9.829874

9.518368

9.427435

9.479544

9.484

9.922468

9.749237

1310.5939

Tomoki Nosaka

Tomoki Nosaka and Seiji Terashima

Supersymmetric Gauge Theories on a Squashed Four-Sphere

35 pages, no figures. v2: typos corrected, references added

JHEP 1312(2013) 001

10.1007/JHEP12(2013)001

YITP-13-112

hep-th

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

We define a squashed four-sphere by a dimensional reduction of a twisted S^4 x S^1, and construct explicitly a supersymmetric Yang-Mills action on it. The action includes a non-trivial dilaton factor and a theta term with a non-constant theta. The partition function of this theory is calculated using the localization technique. The resulting partition function can be written in the form consistent with the AGT relation due to the non-constant theta term. The parameter b which characterizes the partition function in this form is not restricted to be real for the squashed four-sphere.

[ { "created": "Tue, 22 Oct 2013 14:42:13 GMT", "version": "v1" }, { "created": "Fri, 13 Dec 2013 03:42:00 GMT", "version": "v2" } ]

2013-12-16

[ [ "Nosaka", "Tomoki", "" ], [ "Terashima", "Seiji", "" ] ]

We define a squashed four-sphere by a dimensional reduction of a twisted S^4 x S^1, and construct explicitly a supersymmetric Yang-Mills action on it. The action includes a non-trivial dilaton factor and a theta term with a non-constant theta. The partition function of this theory is calculated using the localization technique. The resulting partition function can be written in the form consistent with the AGT relation due to the non-constant theta term. The parameter b which characterizes the partition function in this form is not restricted to be real for the squashed four-sphere.

9.329129

8.129072

8.854099

8.237661

7.851402

8.886253

8.209432

7.735912

7.744172

9.620583

8.189709

8.056548

8.909886

8.023654

7.776743

8.226135

8.130546

8.185861

8.301395

8.517085

8.103231

1106.2483

Robert de Mello Koch

Robert de Mello Koch, Badr Awad Elseid Mohammed and Stephanie Smith

Nonplanar Integrability: Beyond the SU(2) Sector

32 pages

null

10.1142/S0217751X11054590

WITS-CTP-075

hep-th

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

We compute the one loop anomalous dimensions of restricted Schur polynomials with a classical dimension \Delta\sim O(N). The operators that we consider are labeled by Young diagrams with two long columns or two long rows. Simple analytic expressions for the action of the dilatation operator are found. The projection operators needed to define the restricted Schur polynomials are constructed by translating the problem into a spin chain language, generalizing earlier results obtained in the SU(2) sector of the theory. The diagonalization of the dilatation operator reduces to solving five term recursion relations. The recursion relations can be solved exactly in terms of products of symmetric Kravchuk polynomials with Hahn polynomials. This proves that the dilatation operator reduces to a decoupled set of harmonic oscillators and therefore it is integrable, extending a similar conclusion reached for the SU(2) sector of the theory.

[ { "created": "Mon, 13 Jun 2011 16:29:37 GMT", "version": "v1" } ]

2015-05-28

[ [ "Koch", "Robert de Mello", "" ], [ "Mohammed", "Badr Awad Elseid", "" ], [ "Smith", "Stephanie", "" ] ]

We compute the one loop anomalous dimensions of restricted Schur polynomials with a classical dimension \Delta\sim O(N). The operators that we consider are labeled by Young diagrams with two long columns or two long rows. Simple analytic expressions for the action of the dilatation operator are found. The projection operators needed to define the restricted Schur polynomials are constructed by translating the problem into a spin chain language, generalizing earlier results obtained in the SU(2) sector of the theory. The diagonalization of the dilatation operator reduces to solving five term recursion relations. The recursion relations can be solved exactly in terms of products of symmetric Kravchuk polynomials with Hahn polynomials. This proves that the dilatation operator reduces to a decoupled set of harmonic oscillators and therefore it is integrable, extending a similar conclusion reached for the SU(2) sector of the theory.

7.838108

7.421705

9.528949

7.528166

8.049442

7.609805

8.012956

7.517939

7.765136

9.691173

7.254511

7.423732

8.392085

7.588578

7.610206

7.628072

7.746822

7.486674

7.930629

7.965261

7.598561

2405.19218

Shani Nadir Meynet

Azeem Hasan, Shani Meynet, Daniele Migliorati

The $SL_2(\mathbb{R})$ duality and the non-invertible $U(1)$ symmetry of Maxwell theory

v2: 19 pages, 1 figure, references added

null

hep-th

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

Recent proposals for the Symmetry Topological Field Theory (SymTFT) of Maxwell theory admit a 0-form symmetry compatible with the classical $SL_2(\mathbb{R})$ duality of electromagnetism. We describe how to realize these automorphisms of the SymTFT in terms of its operators and we detail their effects on the dynamical theory and its global variants. In the process, we show that the classical $U(1)$ symmetry, corresponding to the stabilizer of $SL_2(\mathbb{R})$, can be restored as a non-invertible one, by means of an infinite series of discrete gauging. This provides an example of the reemergence of a classical symmetry in the quantum regime, which was not broken by anomalies, but rather by the quantization of electromagnetic fluxes. However, this procedure comes at the price of introducing "continuous" condensates that trivialize all line operators.

[ { "created": "Wed, 29 May 2024 16:00:22 GMT", "version": "v1" }, { "created": "Tue, 11 Jun 2024 12:41:20 GMT", "version": "v2" } ]

2024-06-12

[ [ "Hasan", "Azeem", "" ], [ "Meynet", "Shani", "" ], [ "Migliorati", "Daniele", "" ] ]

Recent proposals for the Symmetry Topological Field Theory (SymTFT) of Maxwell theory admit a 0-form symmetry compatible with the classical $SL_2(\mathbb{R})$ duality of electromagnetism. We describe how to realize these automorphisms of the SymTFT in terms of its operators and we detail their effects on the dynamical theory and its global variants. In the process, we show that the classical $U(1)$ symmetry, corresponding to the stabilizer of $SL_2(\mathbb{R})$, can be restored as a non-invertible one, by means of an infinite series of discrete gauging. This provides an example of the reemergence of a classical symmetry in the quantum regime, which was not broken by anomalies, but rather by the quantization of electromagnetic fluxes. However, this procedure comes at the price of introducing "continuous" condensates that trivialize all line operators.

10.758681

10.332449

11.517051

9.324377

9.359099

9.488087

9.420168

9.690824

9.829959

11.963073

8.698678

9.858673

10.765008

10.068214

9.957098

9.396358

9.767669

9.809541

9.686768

10.706148

9.923718

2103.15391

Claudio Dappiaggi

Lissa de Souza Campos, Claudio Dappiaggi and Denis Sina

On the role of boundary conditions within Ho\v{r}ava-Lifshitz gravity

37 pages, 11 figures

null

hep-th gr-qc

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

On a class of four-dimensional Lifshitz spacetimes with critical exponent $z=2$, including a hyperbolic and a spherical Lifshitz topological black hole, we consider a real Klein-Gordon field. Using a mode-decomposition, we split the equation of motion into a radial and into an angular component. As first step, we discuss under which conditions on the underlying parameters, we can impose to the radial equation boundary conditions of Robin type and whether bound state solutions do occur. Subsequently, we show that, whenever bound states are absent, one can associate to each admissible boundary condition a ground and a KMS state whose associated two-point correlation function is of local Hadamard form.

[ { "created": "Mon, 29 Mar 2021 07:33:42 GMT", "version": "v1" } ]

2021-03-30

[ [ "Campos", "Lissa de Souza", "" ], [ "Dappiaggi", "Claudio", "" ], [ "Sina", "Denis", "" ] ]

On a class of four-dimensional Lifshitz spacetimes with critical exponent $z=2$, including a hyperbolic and a spherical Lifshitz topological black hole, we consider a real Klein-Gordon field. Using a mode-decomposition, we split the equation of motion into a radial and into an angular component. As first step, we discuss under which conditions on the underlying parameters, we can impose to the radial equation boundary conditions of Robin type and whether bound state solutions do occur. Subsequently, we show that, whenever bound states are absent, one can associate to each admissible boundary condition a ground and a KMS state whose associated two-point correlation function is of local Hadamard form.

11.293508

11.978756

11.235256

10.432022

11.321834

10.740975

10.70155

10.357732

10.234518

12.634785

10.029558

10.158363

10.243679

10.217769

10.01919

10.060443

9.798014

10.161498

10.196734

10.534482

10.151176

hep-th/0103041

Dionisio Bazeia

D. Bazeia, J. Menezes, M.M. Santos

Complete factorization of equations of motion in supersymmetric field theories

Revtex, 6 pages; version to be published in Nucl. Phys. B

Nucl.Phys. B636 (2002) 132-140

10.1016/S0550-3213(02)00460-1

null

hep-th hep-ph

null

We investigate bosonic sectors of supersymmetric field theories. We consider superpotentials described by one and by two real scalar fields, and we show how the equations of motion can be factorized into a family of first order Bogomol'nyi equations, so that all the topological defects are of the Bogomol'nyi-Prasad-Sommerfield type. We examine explicit models, that engender the Z_N symmetry, and we identify all the topological sectors, illustrating their integrability.

[ { "created": "Tue, 6 Mar 2001 21:25:44 GMT", "version": "v1" }, { "created": "Fri, 9 Mar 2001 12:18:31 GMT", "version": "v2" }, { "created": "Fri, 13 Jul 2001 15:25:50 GMT", "version": "v3" }, { "created": "Wed, 12 Jun 2002 11:28:11 GMT", "version": "v4" } ]

2015-06-25

[ [ "Bazeia", "D.", "" ], [ "Menezes", "J.", "" ], [ "Santos", "M. M.", "" ] ]

We investigate bosonic sectors of supersymmetric field theories. We consider superpotentials described by one and by two real scalar fields, and we show how the equations of motion can be factorized into a family of first order Bogomol'nyi equations, so that all the topological defects are of the Bogomol'nyi-Prasad-Sommerfield type. We examine explicit models, that engender the Z_N symmetry, and we identify all the topological sectors, illustrating their integrability.

10.585654

8.188846

10.648743

9.124179

9.081862

9.2374

9.076275

8.53638

8.907036

10.595138

8.662005

9.669219

10.287995

9.417388

9.58794

9.575542

9.439152

9.513785

9.586742

10.345871

9.482409

hep-th/9907180

Ludvig Faddeev

Ludvig Faddeev and Antti J. Niemi

Decomposing the Yang-Mills Field

5 pages, latex, no figures

Phys.Lett.B464:90-93,1999

10.1016/S0370-2693(99)01035-7

null

hep-th

null

Recently we have proposed a set of variables for describing the physical parameters of SU(N) Yang--Mills field. Here we propose an off-shell generalization of our Ansatz. For this we envoke the Darboux theorem to decompose arbitrary one-form with respect to some basis of one-forms. After a partial gauge fixing we identify these forms with the preimages of holomorphic and antiholomorphic forms on the coset space $ SU(N)/U(1)^{N-1}$, identified as a particular coadjoint orbit. This yields an off-shell gauge fixed decomposition of the Yang-Mills connection that contains our original variables in a natural fashion.

[ { "created": "Fri, 23 Jul 1999 14:02:02 GMT", "version": "v1" } ]

2008-11-26

[ [ "Faddeev", "Ludvig", "" ], [ "Niemi", "Antti J.", "" ] ]

Recently we have proposed a set of variables for describing the physical parameters of SU(N) Yang--Mills field. Here we propose an off-shell generalization of our Ansatz. For this we envoke the Darboux theorem to decompose arbitrary one-form with respect to some basis of one-forms. After a partial gauge fixing we identify these forms with the preimages of holomorphic and antiholomorphic forms on the coset space $ SU(N)/U(1)^{N-1}$, identified as a particular coadjoint orbit. This yields an off-shell gauge fixed decomposition of the Yang-Mills connection that contains our original variables in a natural fashion.

12.222654

12.306215

10.90648

10.905767

12.28861

12.78761

11.859195

10.782189

11.28336

13.748402

11.5525

11.208138

11.175277

11.155457

11.201459

11.263678

11.169707

11.187926

11.139344

11.119115

10.80693

hep-th/9703120

David Delphenich

David Delphenich (Syracuse U.), Joseph Schechter (Syracuse U.)

Multiflavor Massive Schwinger Model With Non-Abelian Bosonization

To appear in Int. J. Mod. Phys. A (Footnote and reference revised from previous version)

Int.J.Mod.Phys. A12 (1997) 5305-5324

10.1142/S0217751X9700284X

SU-4240-654

hep-th hep-ph

null

We revisit the treatment of the multiflavor massive Schwinger model by non-Abelian Bosonization. We compare three different approximations to the low-lying spectrum: i) reading it off from the bosonized Lagrangian (neglecting interactions), ii) semi-classical quantization of the static soliton, iii) approximate semi-classical quantization of the ``breather'' solitons. A number of new points are made in this process. We also suggest a different ``effective low-energy Lagrangian'' for the theory which permits easy calculation of the low-energy scattering amplitudes. It correlates an exact mass formula of the system with the requirement of the Mermin-Wagner theorem.

[ { "created": "Mon, 17 Mar 1997 17:59:13 GMT", "version": "v1" }, { "created": "Wed, 23 Apr 1997 18:51:48 GMT", "version": "v2" } ]

2009-10-30

[ [ "Delphenich", "David", "", "Syracuse U." ], [ "Schechter", "Joseph", "", "Syracuse U." ] ]

We revisit the treatment of the multiflavor massive Schwinger model by non-Abelian Bosonization. We compare three different approximations to the low-lying spectrum: i) reading it off from the bosonized Lagrangian (neglecting interactions), ii) semi-classical quantization of the static soliton, iii) approximate semi-classical quantization of the ``breather'' solitons. A number of new points are made in this process. We also suggest a different ``effective low-energy Lagrangian'' for the theory which permits easy calculation of the low-energy scattering amplitudes. It correlates an exact mass formula of the system with the requirement of the Mermin-Wagner theorem.

10.819698

10.649347

11.220058

10.001448

11.077226

11.3655

11.211535

10.132265

10.219237

11.978002

10.347378

10.218217

10.396677

10.163424

10.146678

10.258583

10.273768

10.223219

10.182738

10.339536

9.839842

hep-th/9811086

Sheng Li

Sheng Li and Yishi Duan

SO(4) Monopole As A New Topological Invariant And Its Topological Structure

17 pages, Revtex, no figures

null

hep-th

null

By making use of the decomposition theory of gauge potential, the inner structure of SU(2) and SO(4) gauge theory is discussed in detail. We find the SO(4) monopole can be given via projecting the SO(4) gauge field onto an antisymmetric tensor. This projection fix the coset $% SU(2)/U(1)\bigotimes SU(2)/U(1)$ of SO(4) gauge group. The generalized Hopf map is given via a Dirac spinor. Further we prove that this monopole can be consider as a new topological invariant. Which is composed of two monopole structures. Local topological structure of the SO(4) monopole is discussed in detail, which is quantized by winding number. The Hopf indices and Brouwer degree labels the local property of the monopoles.

[ { "created": "Tue, 10 Nov 1998 03:17:10 GMT", "version": "v1" } ]

2007-05-23

[ [ "Li", "Sheng", "" ], [ "Duan", "Yishi", "" ] ]

By making use of the decomposition theory of gauge potential, the inner structure of SU(2) and SO(4) gauge theory is discussed in detail. We find the SO(4) monopole can be given via projecting the SO(4) gauge field onto an antisymmetric tensor. This projection fix the coset $% SU(2)/U(1)\bigotimes SU(2)/U(1)$ of SO(4) gauge group. The generalized Hopf map is given via a Dirac spinor. Further we prove that this monopole can be consider as a new topological invariant. Which is composed of two monopole structures. Local topological structure of the SO(4) monopole is discussed in detail, which is quantized by winding number. The Hopf indices and Brouwer degree labels the local property of the monopoles.

10.411238

9.648314

10.208815

9.057388

10.372557

8.991887

9.490874

8.890055

9.254354

11.509637

9.342442

9.563414

9.497468

9.333901

9.515176

9.449799

9.124477

9.599654

9.291728

9.832588

9.399303

1412.6957

A. Yu. Petrov

A. P. Baeta Scarpelli, J. R. Nascimento, A. Yu. Petrov, R. F. Ribeiro

On the duality in CPT-even Lorentz-breaking theories

17 pages, version accepted to EPJC

Eur. Phys. J. C (2015) 75: 314

10.1140/epjc/s10052-015-3537-z

null

hep-th

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

In this paper, we generalize the duality between self-dual and Maxwell-Chern-Simons theories for the case of a CPT-even Lorentz-breaking extension of these theories. The duality is demonstrated with use of the gauge embedding procedure, both in free and coupled cases, and with the master action approach. The physical spectra of both Lorentz-breaking theories are studied. The massive poles are shown to coincide and to respect the requirements for unitarity and causality at tree level. The extra massless poles which are present in the dualized model are shown to be nondynamical.

[ { "created": "Mon, 22 Dec 2014 12:36:46 GMT", "version": "v1" }, { "created": "Wed, 24 Jun 2015 14:50:54 GMT", "version": "v2" } ]

2015-07-08

[ [ "Scarpelli", "A. P. Baeta", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ], [ "Ribeiro", "R. F.", "" ] ]

In this paper, we generalize the duality between self-dual and Maxwell-Chern-Simons theories for the case of a CPT-even Lorentz-breaking extension of these theories. The duality is demonstrated with use of the gauge embedding procedure, both in free and coupled cases, and with the master action approach. The physical spectra of both Lorentz-breaking theories are studied. The massive poles are shown to coincide and to respect the requirements for unitarity and causality at tree level. The extra massless poles which are present in the dualized model are shown to be nondynamical.

9.003139

8.290429

9.691704

7.574346

7.534618

7.526856

7.792273

8.227108

7.476555

10.560186

7.673173

8.104589

8.64423

7.926066

7.59447

8.113853

7.89675

8.192999

8.174545

8.475623

7.75029

hep-th/0204077

Ghenadie N. Mardari

Interferometric evidence for brane world cosmologies

3 pages, no figures, Revtex. New experiment proposal added

null

hep-th physics.optics quant-ph

null

The hypothesis of brane-embedded matter appears to gain increasing credibility in astrophysics. However, it can only be truly successful if its implications on particle interaction are consistent with existing knowledge. This letter focuses on the issue of optical interference, and shows that at least one brane-world model can offer plausible interpretations for both Young's double-slit experiment, and the experiments that fit less neatly with it. The basic assumption is that particles can interact at a distance through the vibrations induced by their motion on the brane. The qualitative analysis of this mechanism suggests that fringe visibility in single photon interference depends on the energy levels and the interval between interacting particles. A double-slit experiment, performed with coherent single red photons should reveal the disappearance of interference when the time delay between individual particles is increased over 2.18 seconds. In the case of infrared photons with the frequency of $9\cdot 10^{13}$ Hz, interference must vanish already at the interval of one second.

[ { "created": "Tue, 9 Apr 2002 06:12:21 GMT", "version": "v1" }, { "created": "Sun, 28 Apr 2002 06:25:21 GMT", "version": "v2" }, { "created": "Mon, 29 Jul 2002 22:00:06 GMT", "version": "v3" }, { "created": "Thu, 23 Jan 2003 15:36:46 GMT", "version": "v4" } ]

2007-05-23

[ [ "Mardari", "Ghenadie N.", "" ] ]

The hypothesis of brane-embedded matter appears to gain increasing credibility in astrophysics. However, it can only be truly successful if its implications on particle interaction are consistent with existing knowledge. This letter focuses on the issue of optical interference, and shows that at least one brane-world model can offer plausible interpretations for both Young's double-slit experiment, and the experiments that fit less neatly with it. The basic assumption is that particles can interact at a distance through the vibrations induced by their motion on the brane. The qualitative analysis of this mechanism suggests that fringe visibility in single photon interference depends on the energy levels and the interval between interacting particles. A double-slit experiment, performed with coherent single red photons should reveal the disappearance of interference when the time delay between individual particles is increased over 2.18 seconds. In the case of infrared photons with the frequency of $9\cdot 10^{13}$ Hz, interference must vanish already at the interval of one second.

18.525457

19.77346

19.720341

18.654829

21.548595

20.595789

19.820557

19.02582

19.125177

18.532066

17.339916

17.458694

17.723606

17.531961

17.993742

17.692204

18.651463

17.344568

17.97946

17.545187

17.290871

hep-th/0403175

Antti J. Niemi

Dual Superconductors and SU(2) Yang-Mills

null

JHEP 0408 (2004) 035

10.1088/1126-6708/2004/08/035

null

hep-th cond-mat.supr-con hep-lat nucl-th

null

We propose that the SU(2) Yang-Mills theory can be interpreted as a two-band dual superconductor with an interband Josephson coupling. We discuss various consequences of this interpretation including electric flux quantization, confinement of vortices with fractional flux, and the possibility that a closed vortex loop exhibits exotic exchange statistics.

[ { "created": "Wed, 17 Mar 2004 12:53:22 GMT", "version": "v1" }, { "created": "Thu, 18 Mar 2004 20:53:39 GMT", "version": "v2" } ]

2009-11-10

[ [ "Niemi", "Antti J.", "" ] ]

We propose that the SU(2) Yang-Mills theory can be interpreted as a two-band dual superconductor with an interband Josephson coupling. We discuss various consequences of this interpretation including electric flux quantization, confinement of vortices with fractional flux, and the possibility that a closed vortex loop exhibits exotic exchange statistics.

12.690777

10.006418

12.038508

10.815043

11.758342

11.607316

10.437936

10.126768

10.75105

12.513878

10.266746

10.788148

12.860918

11.259122

11.099028

11.029545

11.187862

10.741662

10.904444

12.076073

11.049691

1401.2769

Julien Serreau

A class of nonperturbative nonlinear covariant gauges in Yang-Mills theories

Contribution to "QCD-TNT-III-From quarks and gluons to hadronic matter: A bridge too far?", 2-6 Sept 2013, ECT*, Trento, Italy; 7 pages

null

hep-th hep-lat hep-ph nucl-th

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

We report on the recent proposal of a class of nonlinear covariant gauges that can be formulated as an extremization procedure which admits a simple discretization well-suited to numerical minimization techniques. This class of gauges is continuously connected to the Landau gauge and, in the ultraviolet, where one can ignore Gribov ambiguities, it reduces to the Curci-Ferrari-Delbourgo-Jarvis gauges.

[ { "created": "Mon, 13 Jan 2014 09:57:15 GMT", "version": "v1" } ]

2014-01-14

[ [ "Serreau", "Julien", "" ] ]

We report on the recent proposal of a class of nonlinear covariant gauges that can be formulated as an extremization procedure which admits a simple discretization well-suited to numerical minimization techniques. This class of gauges is continuously connected to the Landau gauge and, in the ultraviolet, where one can ignore Gribov ambiguities, it reduces to the Curci-Ferrari-Delbourgo-Jarvis gauges.

9.25178

8.564154

11.48731

8.566848

8.653879

8.371798

8.236228

8.408777

7.880774

14.290347

8.350822

9.063411

9.785735

8.556158

9.60183

8.873129

8.990862

9.2615

8.858051

9.80739

8.538198

2106.13832

Eleanor Harris

Dionysios Anninos and Eleanor Harris

Three-dimensional de Sitter horizon thermodynamics

34 pages + appendices, 5 figures

null

10.1007/JHEP10(2021)091

null

hep-th gr-qc

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

We explore thermodynamic contributions to the three-dimensional de Sitter horizon originating from metric and Chern-Simons gauge field fluctuations. In Euclidean signature these are computed by the partition function of gravity coupled to matter semi-classically expanded about the round three-sphere saddle. We investigate a corresponding Lorentzian picture - drawing inspiration from the topological entanglement entropy literature - in the form of an edge-mode theory residing at the de Sitter horizon. We extend the discussion to three-dimensional gravity with positive cosmological constant, viewed (semi-classically) as a complexified Chern-Simons theory. The putative gravitational edge-mode theory is a complexified version of the chiral Wess-Zumino-Witten model associated to the edge-modes of ordinary Chern-Simons theory. We introduce and solve a family of complexified Abelian Chern-Simons theories as a way to elucidate some of the more salient features of the gravitational edge-mode theories. We comment on the relation to the AdS$_4$/CFT$_3$ correspondence.

[ { "created": "Fri, 25 Jun 2021 18:15:16 GMT", "version": "v1" }, { "created": "Thu, 15 Jul 2021 13:53:04 GMT", "version": "v2" }, { "created": "Thu, 13 Jan 2022 14:08:16 GMT", "version": "v3" } ]

2022-01-14

[ [ "Anninos", "Dionysios", "" ], [ "Harris", "Eleanor", "" ] ]

We explore thermodynamic contributions to the three-dimensional de Sitter horizon originating from metric and Chern-Simons gauge field fluctuations. In Euclidean signature these are computed by the partition function of gravity coupled to matter semi-classically expanded about the round three-sphere saddle. We investigate a corresponding Lorentzian picture - drawing inspiration from the topological entanglement entropy literature - in the form of an edge-mode theory residing at the de Sitter horizon. We extend the discussion to three-dimensional gravity with positive cosmological constant, viewed (semi-classically) as a complexified Chern-Simons theory. The putative gravitational edge-mode theory is a complexified version of the chiral Wess-Zumino-Witten model associated to the edge-modes of ordinary Chern-Simons theory. We introduce and solve a family of complexified Abelian Chern-Simons theories as a way to elucidate some of the more salient features of the gravitational edge-mode theories. We comment on the relation to the AdS$_4$/CFT$_3$ correspondence.

8.993334

8.067766

10.111388

8.352742

8.023726

8.15949

8.22852

8.250878

8.112926

9.703673

8.000778

8.45298

8.611946

8.404689

8.368164

8.649403

8.476672

8.427824

8.788835

8.98616

8.384766

hep-th/0511286

Martin Schnabl

Analytic solution for tachyon condensation in open string field theory

60 pages, 4 figures, v2: typos corrected, references added

Adv.Theor.Math.Phys.10:433-501,2006

null

CERN-PH-TH/2005-220

hep-th

null

We propose a new basis in Witten's open string field theory, in which the star product simplifies considerably. For a convenient choice of gauge the classical string field equation of motion yields straightforwardly an exact analytic solution that represents the nonperturbative tachyon vacuum. The solution is given in terms of Bernoulli numbers and the equation of motion can be viewed as novel Euler--Ramanujan-type identity. It turns out that the solution is the Euler--Maclaurin asymptotic expansion of a sum over wedge states with certain insertions. This new form is fully regular from the point of view of level truncation. By computing the energy difference between the perturbative and nonperturbative vacua, we prove analytically Sen's first conjecture.

[ { "created": "Tue, 29 Nov 2005 17:18:20 GMT", "version": "v1" }, { "created": "Fri, 9 Jun 2006 15:39:02 GMT", "version": "v2" } ]

2008-11-26

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

We propose a new basis in Witten's open string field theory, in which the star product simplifies considerably. For a convenient choice of gauge the classical string field equation of motion yields straightforwardly an exact analytic solution that represents the nonperturbative tachyon vacuum. The solution is given in terms of Bernoulli numbers and the equation of motion can be viewed as novel Euler--Ramanujan-type identity. It turns out that the solution is the Euler--Maclaurin asymptotic expansion of a sum over wedge states with certain insertions. This new form is fully regular from the point of view of level truncation. By computing the energy difference between the perturbative and nonperturbative vacua, we prove analytically Sen's first conjecture.

9.857723

10.160633

11.495527

9.771749

10.358458

11.078626

10.19487

9.193444

9.290629

12.001311

10.522669

9.31739

10.346364

9.464039

9.537634

9.446473

9.656749

9.988865

9.501504

10.390162

9.454078

1605.01603

Chethan Krishnan

Chethan Krishnan, Avinash Raju

A Neumann Boundary Term for Gravity

v3: emphasized that a covariant notion of Neumann boundary condition inevitably leads to our boundary term. v4: more refs

null

10.1142/S0217732317500778

null

hep-th gr-qc

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

The Gibbons-Hawking-York (GHY) boundary term makes the Dirichlet problem for gravity well defined, but no such general term seems to be known for Neumann boundary conditions. In this paper, we view Neumann {\em not} as fixing the normal derivative of the metric ("velocity") at the boundary, but as fixing the functional derivative of the action with respect to the boundary metric ("momentum"). This leads directly to a new boundary term for gravity: the trace of the extrinsic curvature with a specific dimension-dependent coefficient. In three dimensions this boundary term reduces to a "one-half" GHY term noted in the literature previously, and we observe that our action translates precisely to the Chern-Simons action with no extra boundary terms. In four dimensions the boundary term vanishes, giving a natural Neumann interpretation to the standard Einstein-Hilbert action without boundary terms. We argue that in light of AdS/CFT, ours is a natural approach for defining a "microcanonical" path integral for gravity in the spirit of the (pre-AdS/CFT) work of Brown and York.

[ { "created": "Thu, 5 May 2016 14:08:11 GMT", "version": "v1" }, { "created": "Fri, 6 May 2016 14:23:02 GMT", "version": "v2" }, { "created": "Fri, 3 Mar 2017 13:35:04 GMT", "version": "v3" }, { "created": "Mon, 6 Mar 2017 06:00:21 GMT", "version": "v4" } ]

2017-05-24

[ [ "Krishnan", "Chethan", "" ], [ "Raju", "Avinash", "" ] ]

The Gibbons-Hawking-York (GHY) boundary term makes the Dirichlet problem for gravity well defined, but no such general term seems to be known for Neumann boundary conditions. In this paper, we view Neumann {\em not} as fixing the normal derivative of the metric ("velocity") at the boundary, but as fixing the functional derivative of the action with respect to the boundary metric ("momentum"). This leads directly to a new boundary term for gravity: the trace of the extrinsic curvature with a specific dimension-dependent coefficient. In three dimensions this boundary term reduces to a "one-half" GHY term noted in the literature previously, and we observe that our action translates precisely to the Chern-Simons action with no extra boundary terms. In four dimensions the boundary term vanishes, giving a natural Neumann interpretation to the standard Einstein-Hilbert action without boundary terms. We argue that in light of AdS/CFT, ours is a natural approach for defining a "microcanonical" path integral for gravity in the spirit of the (pre-AdS/CFT) work of Brown and York.

7.566474

7.529423

7.937413

7.456602

7.950485

7.733777

7.740537

7.446866

7.956151

8.530711

7.402655

7.494845

7.280476

7.282135

7.582335

7.408181

7.277489

7.320096

7.300587

7.176282

7.258112

2209.07897

Wen-Yuan Ai

Wen-Yuan Ai, Carl M. Bender and Sarben Sarkar

$\mathcal{P}\mathcal{T}$-symmetric $-g\varphi^4$ theory

7 pages, 2 figures, revtex format; v2: minor typos corrected, refs added; v3: published version; v4: two typos corrected

Phys. Rev. D 106, 125016 (2022)

10.1103/PhysRevD.106.125016

KCL-PH-TH-2022-25

hep-th hep-ph quant-ph

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

The scalar field theory with potential $V(\varphi)=\textstyle{\frac{1}{2}} m^2\varphi^2-\textstyle{\frac{1}{4}} g\varphi^4$ ($g>0$) is ill defined as a Hermitian theory but in a non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric framework it is well defined, and it has a positive real energy spectrum for the case of spacetime dimension $D=1$. While the methods used in the literature do not easily generalize to quantum field theory, in this paper the path-integral representation of a $\mathcal{P}\mathcal{T}$-symmetric $-g\varphi^4$ theory is shown to provide a unified formulation for general $D$. A new conjectural relation between the Euclidean partition functions $Z^{\mathcal{P}\mathcal{T}}(g)$ of the non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric theory and $Z_{\rm Herm}(\lambda)$ of the $\lambda \varphi^4$ ($\lambda>0$) Hermitian theory is proposed: $\log Z^{\mathcal{P}\mathcal{T}}(g)=\textstyle{\frac{1}{2}} \log Z_{\rm Herm}(-g+{\rm i} 0^+)+\textstyle{\frac{1}{2}}\log Z_{\rm Herm}(-g-{\rm i} 0^+)$. This relation ensures a real energy spectrum for the non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric $-g\varphi^4$ field theory. A closely related relation is rigorously valid in $D=0$. For $D=1$, using a semiclassical evaluation of $Z^{\mathcal{P}\mathcal{T}}(g)$, this relation is verified by comparing the imaginary parts of the ground-state energy $E_0^{\mathcal{P}\mathcal{T}}(g)$ (before cancellation) and $E_{0,\rm Herm}(-g\pm {\rm i} 0^+)$.

[ { "created": "Fri, 16 Sep 2022 12:44:00 GMT", "version": "v1" }, { "created": "Sun, 25 Sep 2022 11:22:10 GMT", "version": "v2" }, { "created": "Wed, 28 Dec 2022 10:10:51 GMT", "version": "v3" }, { "created": "Thu, 5 Jan 2023 08:26:09 GMT", "version": "v4" } ]

2023-01-06

[ [ "Ai", "Wen-Yuan", "" ], [ "Bender", "Carl M.", "" ], [ "Sarkar", "Sarben", "" ] ]

The scalar field theory with potential $V(\varphi)=\textstyle{\frac{1}{2}} m^2\varphi^2-\textstyle{\frac{1}{4}} g\varphi^4$ ($g>0$) is ill defined as a Hermitian theory but in a non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric framework it is well defined, and it has a positive real energy spectrum for the case of spacetime dimension $D=1$. While the methods used in the literature do not easily generalize to quantum field theory, in this paper the path-integral representation of a $\mathcal{P}\mathcal{T}$-symmetric $-g\varphi^4$ theory is shown to provide a unified formulation for general $D$. A new conjectural relation between the Euclidean partition functions $Z^{\mathcal{P}\mathcal{T}}(g)$ of the non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric theory and $Z_{\rm Herm}(\lambda)$ of the $\lambda \varphi^4$ ($\lambda>0$) Hermitian theory is proposed: $\log Z^{\mathcal{P}\mathcal{T}}(g)=\textstyle{\frac{1}{2}} \log Z_{\rm Herm}(-g+{\rm i} 0^+)+\textstyle{\frac{1}{2}}\log Z_{\rm Herm}(-g-{\rm i} 0^+)$. This relation ensures a real energy spectrum for the non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric $-g\varphi^4$ field theory. A closely related relation is rigorously valid in $D=0$. For $D=1$, using a semiclassical evaluation of $Z^{\mathcal{P}\mathcal{T}}(g)$, this relation is verified by comparing the imaginary parts of the ground-state energy $E_0^{\mathcal{P}\mathcal{T}}(g)$ (before cancellation) and $E_{0,\rm Herm}(-g\pm {\rm i} 0^+)$.

3.302906

3.478549

3.459545

3.286492

3.475133

3.528491

3.421502

3.374558

3.34468

3.630881

3.27937

3.272553

3.274601

3.228196

3.253714

3.251184

3.281072

3.258803

3.224345

3.312583

3.236174

1909.10054

Alexei Nurmagambetov

A. J. Nurmagambetov (Kharkov, KIPT), I. Y. Park (Philander Smith Coll.)

Quantum-gravitational trans-Planckian energy of a time-dependent black hole

25 pages. Invited contribution to special topic of Symmetry

null

10.3390/sym11101303

null

hep-th astro-ph.HE gr-qc

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

We continue our recent endeavor in which a time-dependent black hole solution of a one-loop quantum-corrected Einstein-scalar system was obtained and its near-horizon behavior was analyzed. The energy analysis led to a trans-Planckian scaling behavior near the event horizon. In the present work the analysis is extended to a rotating black hole solution of an Einstein-Maxwell-scalar system with a Higgs potential. Although the analysis becomes much more complex compared to that of the previous, we observe the same basic features, including the quantum-gravitational trans-Planckian energy near the horizon.

[ { "created": "Sun, 22 Sep 2019 17:59:00 GMT", "version": "v1" } ]

2022-02-08

[ [ "Nurmagambetov", "A. J.", "", "Kharkov, KIPT" ], [ "Park", "I. Y.", "", "Philander Smith\n Coll." ] ]

We continue our recent endeavor in which a time-dependent black hole solution of a one-loop quantum-corrected Einstein-scalar system was obtained and its near-horizon behavior was analyzed. The energy analysis led to a trans-Planckian scaling behavior near the event horizon. In the present work the analysis is extended to a rotating black hole solution of an Einstein-Maxwell-scalar system with a Higgs potential. Although the analysis becomes much more complex compared to that of the previous, we observe the same basic features, including the quantum-gravitational trans-Planckian energy near the horizon.

9.548177

8.970484

8.84233

7.854704

8.475771

8.523569

9.089864

8.124054

8.271732

9.297877

8.232186

8.614571

8.729391

8.24317

8.618488

8.792213

8.867084

8.469367

8.43448

8.63499

8.68926

0709.0873

Charalampos Bogdanos

C. Bogdanos, A. Kehagias and K. Tamvakis

Pseudo-3-Branes in a Curved 6D Bulk

13 pages

Phys.Lett.B656:112-118,2007

10.1016/j.physletb.2007.09.016

null

hep-th

null

We consider a model involving a 4-brane in a 6D bulk which carries sigma model fields. An axion field on the 4-brane cancels the pressure along one direction leading to an effective codimension-2 3-brane. For a range of parameters of the theory, we get a transverse space which is non-compact, providing a possible solution to the cosmological constant problem. A setup with two branes in a compact space is also treated. In this case, a mild fine-tuning between the radii of the two 4-branes is necessary. Finally, we explore the 4-brane problem in the Gauss-Codazzi formulation and we discuss general aspects of gravity in the presence of additional brane sources.

[ { "created": "Thu, 6 Sep 2007 14:39:07 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bogdanos", "C.", "" ], [ "Kehagias", "A.", "" ], [ "Tamvakis", "K.", "" ] ]

We consider a model involving a 4-brane in a 6D bulk which carries sigma model fields. An axion field on the 4-brane cancels the pressure along one direction leading to an effective codimension-2 3-brane. For a range of parameters of the theory, we get a transverse space which is non-compact, providing a possible solution to the cosmological constant problem. A setup with two branes in a compact space is also treated. In this case, a mild fine-tuning between the radii of the two 4-branes is necessary. Finally, we explore the 4-brane problem in the Gauss-Codazzi formulation and we discuss general aspects of gravity in the presence of additional brane sources.

10.398901

10.458794

10.728289

9.653512

10.176554

10.969574

10.271244

9.936675

9.579062

11.682383

10.317225

9.629344

10.327306

9.968983

10.024468

10.081824

9.890762

9.837494

9.93804

10.526116

9.928442

hep-th/0003086

Damien Easson

Damien A. Easson

The Interface of Cosmology with String and M(ILLENNIUM) Theory

49 pages, 10 figures; minor revisions; accepted for publication in IJMPA

Int.J.Mod.Phys.A16:4803-4843,2001

10.1142/S0217751X01005274

BROWN-HET-1209

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

null

The purpose of this review is to discuss recent developments occurring at the interface of cosmology with string and M-theory. We begin with a short review of 1980s string cosmology and the Brandenberger-Vafa mechanism for explaining spacetime dimensionality. It is shown how this scenario has been modified to include the effects of p-brane gases in the early universe. We then introduce the Pre-Big-Bang scenario (PBB), Ho\v{r}ava-Witten heterotic M-theory and the work of Lukas, Ovrut and Waldram, and end with a discussion of large extra dimensions, the Randall-Sundrum model and Brane World cosmologies.

[ { "created": "Sat, 11 Mar 2000 22:52:02 GMT", "version": "v1" }, { "created": "Wed, 22 Mar 2000 19:02:30 GMT", "version": "v2" }, { "created": "Wed, 18 Oct 2000 16:44:00 GMT", "version": "v3" }, { "created": "Sun, 4 Mar 2001 21:57:41 GMT", "version": "v4" } ]

2014-11-18

[ [ "Easson", "Damien A.", "" ] ]

The purpose of this review is to discuss recent developments occurring at the interface of cosmology with string and M-theory. We begin with a short review of 1980s string cosmology and the Brandenberger-Vafa mechanism for explaining spacetime dimensionality. It is shown how this scenario has been modified to include the effects of p-brane gases in the early universe. We then introduce the Pre-Big-Bang scenario (PBB), Ho\v{r}ava-Witten heterotic M-theory and the work of Lukas, Ovrut and Waldram, and end with a discussion of large extra dimensions, the Randall-Sundrum model and Brane World cosmologies.

6.373747

6.655222

7.26148

6.556748

6.523057

6.02638

6.42058

6.251465

6.113825

8.628169

6.256112

6.202676

6.557169

6.178854

6.367589

6.405519

6.383061

6.395936

6.21498

6.413558

6.323488

hep-th/0109205

Ricardo Bentin

Alfredo T. Suzuki and Ricardo Bent\'in

Obtaining a light-like planar gauge

9 pages

Mod.Phys.Lett. A17 (2002) 205-208

10.1142/S0217732302006473

null

hep-th

null

In the usual and current understanding of planar gauge choices for Abelian and non Abelian gauge fields, the external defining vector $n_\mu$ can either be space-like ($n^2<0$) or time-like ($n^2>0$) but not light-like ($n^2=0$). In this work we propose a light-like planar gauge that consists in defining a modified gauge-fixing term, $\cal{L}_{GF}$, whose main characteristic is a two-degree violation of Lorentz covariance arising from the fact that four-dimensional space-time spanned entirely by null vectors as basis necessitates two light-like vectors, namely $n_\mu$ and its dual $m_\mu$, with $n^2=m^2=0, n\cdot m\neq 0$, say, e.g. normalized to $n\cdot m=2$.

[ { "created": "Wed, 26 Sep 2001 19:06:15 GMT", "version": "v1" } ]

2016-08-16

[ [ "Suzuki", "Alfredo T.", "" ], [ "Bentín", "Ricardo", "" ] ]

In the usual and current understanding of planar gauge choices for Abelian and non Abelian gauge fields, the external defining vector $n_\mu$ can either be space-like ($n^2<0$) or time-like ($n^2>0$) but not light-like ($n^2=0$). In this work we propose a light-like planar gauge that consists in defining a modified gauge-fixing term, $\cal{L}_{GF}$, whose main characteristic is a two-degree violation of Lorentz covariance arising from the fact that four-dimensional space-time spanned entirely by null vectors as basis necessitates two light-like vectors, namely $n_\mu$ and its dual $m_\mu$, with $n^2=m^2=0, n\cdot m\neq 0$, say, e.g. normalized to $n\cdot m=2$.

8.415956

8.488895

8.154611

8.163695

9.092578

8.441272

8.449391

8.055217

7.920839

8.683571

8.338853

8.053093

8.32133

8.032711

8.117084

7.789509

7.932612

7.863386

8.053464

8.325784

8.241219

hep-th/0502061

Hiroaki Kanno

Hidetoshi Awata and Hiroaki Kanno

Instanton counting, Macdonald function and the moduli space of D-branes

33 pages, 2 figures, (v2) minor changes, references added, (v3) Comments and more references added

JHEP 0505 (2005) 039

10.1088/1126-6708/2005/05/039

null

hep-th

null

We argue the connection of Nekrasov's partition function in the \Omega background and the moduli space of D-branes, suggested by the idea of geometric engineering and Gopakumar-Vafa invariants. In the instanton expansion of N=2 SU(2) Yang-Mills theory the Nakrasov's partition function with equivariant parameters \epsilon_1, \epsilon_2 of toric action on C^2 factorizes correctly as the character of SU(2)_L \times SU(2)_R spin representation. We show that up to two instantons the spin contents are consistent with the Lefschetz action on the moduli space of D2-branes on (local) F_0. We also present an attempt at constructing a refined topological vertex in terms of the Macdonald function. The refined topological vertex with two parameters of T^2 action allows us to obtain the generating functions of equivariant \chi_y and elliptic genera of the Hilbert scheme of n points on C^2 by the method of topological vertex.

[ { "created": "Sat, 5 Feb 2005 03:25:37 GMT", "version": "v1" }, { "created": "Fri, 18 Feb 2005 11:29:28 GMT", "version": "v2" }, { "created": "Fri, 8 Apr 2005 02:09:43 GMT", "version": "v3" } ]

2009-11-11

[ [ "Awata", "Hidetoshi", "" ], [ "Kanno", "Hiroaki", "" ] ]

We argue the connection of Nekrasov's partition function in the \Omega background and the moduli space of D-branes, suggested by the idea of geometric engineering and Gopakumar-Vafa invariants. In the instanton expansion of N=2 SU(2) Yang-Mills theory the Nakrasov's partition function with equivariant parameters \epsilon_1, \epsilon_2 of toric action on C^2 factorizes correctly as the character of SU(2)_L \times SU(2)_R spin representation. We show that up to two instantons the spin contents are consistent with the Lefschetz action on the moduli space of D2-branes on (local) F_0. We also present an attempt at constructing a refined topological vertex in terms of the Macdonald function. The refined topological vertex with two parameters of T^2 action allows us to obtain the generating functions of equivariant \chi_y and elliptic genera of the Hilbert scheme of n points on C^2 by the method of topological vertex.

7.454676

7.930058

10.389801

7.316806

8.502069

8.076773

7.740574

7.743847

7.623816

9.737053

7.428453

7.091727

7.974226

7.102442

7.224685

7.403776

7.14889

7.381324

7.181691

7.821696

7.099754

0905.3137

Paul S. Aspinwall

Probing Geometry with Stability Conditions

36 pages, refs added

null

DUKE-CGTP-09-01

hep-th math.AG

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

The notion that the geometry of spacetime is given by the moduli space of 0-branes is examined in four examples of Calabi-Yau threefolds. An important consideration when determining the moduli space of D-branes is the stability condition and this is key in our analysis. In the first two examples, the flop and the orbifold blowup, no surprises are found. Next, an exoflop is considered where the linear sigma model implies a CP1 external to the Calabi-Yau threefold is part of the geometry. The 0-brane probe sees no such external CP1 and furthermore exhibits a surprising discontinuity when following an extremal transition associated to the exoflop. Finally we consider a hybrid model of a Landau--Ginzburg fibration over a CP1. Using the technology of matrix factorizations we find a D-brane probe whose moduli space is this CP1 but it is not a 0-brane and is not stable at the large radius limit of the Calabi-Yau manifold.

[ { "created": "Tue, 19 May 2009 15:40:12 GMT", "version": "v1" }, { "created": "Mon, 1 Jun 2009 15:53:03 GMT", "version": "v2" } ]

2009-06-01

[ [ "Aspinwall", "Paul S.", "" ] ]

The notion that the geometry of spacetime is given by the moduli space of 0-branes is examined in four examples of Calabi-Yau threefolds. An important consideration when determining the moduli space of D-branes is the stability condition and this is key in our analysis. In the first two examples, the flop and the orbifold blowup, no surprises are found. Next, an exoflop is considered where the linear sigma model implies a CP1 external to the Calabi-Yau threefold is part of the geometry. The 0-brane probe sees no such external CP1 and furthermore exhibits a surprising discontinuity when following an extremal transition associated to the exoflop. Finally we consider a hybrid model of a Landau--Ginzburg fibration over a CP1. Using the technology of matrix factorizations we find a D-brane probe whose moduli space is this CP1 but it is not a 0-brane and is not stable at the large radius limit of the Calabi-Yau manifold.

9.871187

9.594973

11.993788

9.301114

9.857471

9.804493

9.845549

9.484988

9.29397

12.160346

9.143014

9.437705

10.304305

9.720647

9.208284

9.390539

9.403934

9.511893

9.504503

10.146963

9.556027

1911.08456

Sunghyuk Park

Sungbong Chun, Sergei Gukov, Sunghyuk Park, Nikita Sopenko

3d-3d correspondence for mapping tori

53 pages, 8 figures

J. High Energ. Phys. 2020, 152 (2020)

10.1007/JHEP09(2020)152

CALT-2019-048

hep-th math.GT math.QA

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

One of the main challenges in 3d-3d correspondence is that no existent approach offers a complete description of 3d $N=2$ SCFT $T[M_3]$ --- or, rather, a "collection of SCFTs" as we refer to it in the paper --- for all types of 3-manifolds that include, for example, a 3-torus, Brieskorn spheres, and hyperbolic surgeries on knots. The goal of this paper is to overcome this challenge by a more systematic study of 3d-3d correspondence that, first of all, does not rely heavily on any geometric structure on $M_3$ and, secondly, is not limited to a particular supersymmetric partition function of $T[M_3]$. In particular, we propose to describe such "collection of SCFTs" in terms of 3d $N=2$ gauge theories with "non-linear matter'' fields valued in complex group manifolds. As a result, we are able to recover familiar 3-manifold invariants, such as Turaev torsion and WRT invariants, from twisted indices and half-indices of $T[M_3]$, and propose new tools to compute more recent $q$-series invariants $\hat Z (M_3)$ in the case of manifolds with $b_1 > 0$. Although we use genus-1 mapping tori as our "case study," many results and techniques readily apply to more general 3-manifolds, as we illustrate throughout the paper.

[ { "created": "Tue, 19 Nov 2019 18:30:57 GMT", "version": "v1" } ]

2020-09-29

[ [ "Chun", "Sungbong", "" ], [ "Gukov", "Sergei", "" ], [ "Park", "Sunghyuk", "" ], [ "Sopenko", "Nikita", "" ] ]

One of the main challenges in 3d-3d correspondence is that no existent approach offers a complete description of 3d $N=2$ SCFT $T[M_3]$ --- or, rather, a "collection of SCFTs" as we refer to it in the paper --- for all types of 3-manifolds that include, for example, a 3-torus, Brieskorn spheres, and hyperbolic surgeries on knots. The goal of this paper is to overcome this challenge by a more systematic study of 3d-3d correspondence that, first of all, does not rely heavily on any geometric structure on $M_3$ and, secondly, is not limited to a particular supersymmetric partition function of $T[M_3]$. In particular, we propose to describe such "collection of SCFTs" in terms of 3d $N=2$ gauge theories with "non-linear matter'' fields valued in complex group manifolds. As a result, we are able to recover familiar 3-manifold invariants, such as Turaev torsion and WRT invariants, from twisted indices and half-indices of $T[M_3]$, and propose new tools to compute more recent $q$-series invariants $\hat Z (M_3)$ in the case of manifolds with $b_1 > 0$. Although we use genus-1 mapping tori as our "case study," many results and techniques readily apply to more general 3-manifolds, as we illustrate throughout the paper.

7.44178

7.06265

8.523037

6.896901

7.302404

7.24901

7.135829

7.230105

7.027821

8.995742

7.413887

6.647775

7.420424

6.844723

6.696911

6.703825

6.905102

6.658492

6.827352

7.405395

7.164165

2102.05053

Jonah Kudler-Flam

Relative Entropy of Random States and Black Holes

5+3 pages; v2: two appendices, discussion of implications for quantum hypothesis testing, and references added

Phys. Rev. Lett. 126, 171603 (2021)

10.1103/PhysRevLett.126.171603

null

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

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

We study the relative entropy of highly excited quantum states. First, we sample states from the Wishart ensemble and develop a large-N diagrammatic technique for the relative entropy. The solution is exactly expressed in terms of elementary functions. We compare the analytic results to small-N numerics, finding precise agreement. Furthermore, the random matrix theory results accurately match the behavior of chaotic many-body eigenstates, a manifestation of eigenstate thermalization. We apply this formalism to the AdS/CFT correspondence where the relative entropy measures the distinguishability between different black hole microstates. We find that black hole microstates are distinguishable even when the observer has arbitrarily small access to the quantum state, though the distinguishability is nonperturbatively small in Newton's constant. Finally, we interpret these results in the context of the subsystem Eigenstate Thermalization Hypothesis (sETH), concluding that holographic systems obey sETH up to subsystems half the size of the total system.

[ { "created": "Tue, 9 Feb 2021 19:00:01 GMT", "version": "v1" }, { "created": "Tue, 16 Mar 2021 14:36:27 GMT", "version": "v2" } ]

2021-04-28

[ [ "Kudler-Flam", "Jonah", "" ] ]

We study the relative entropy of highly excited quantum states. First, we sample states from the Wishart ensemble and develop a large-N diagrammatic technique for the relative entropy. The solution is exactly expressed in terms of elementary functions. We compare the analytic results to small-N numerics, finding precise agreement. Furthermore, the random matrix theory results accurately match the behavior of chaotic many-body eigenstates, a manifestation of eigenstate thermalization. We apply this formalism to the AdS/CFT correspondence where the relative entropy measures the distinguishability between different black hole microstates. We find that black hole microstates are distinguishable even when the observer has arbitrarily small access to the quantum state, though the distinguishability is nonperturbatively small in Newton's constant. Finally, we interpret these results in the context of the subsystem Eigenstate Thermalization Hypothesis (sETH), concluding that holographic systems obey sETH up to subsystems half the size of the total system.

8.711847

8.456543

9.488329

8.8333

9.445066

9.339501

9.15419

8.494492

8.907535

9.380872

8.423517

8.491323

9.18861

8.475985

8.652666

8.672646

8.832707

8.511746

8.551639

9.050088

8.693698

1410.7773

Vasilis Niarchos

Francesco Aprile and Vasilis Niarchos

Large-N transitions of the connectivity index

39 pages, 4 figures; v2 a new section 8 has been added to emphasise aspects of separability in the IR effective theory and the relation with multi-gravity, references added; v3 a proper account of the IR effects of U(1) (singleton) degrees of freedom has been added with appropriate changes in sections 3, 4.3, 9, main conclusions unchanged, changes match published version

null

10.1007/JHEP02(2015)083

CCQCN-2014-47, CCTP-2014-22

hep-th quant-ph

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

The connectivity index, defined as the number of decoupled components of a separable quantum system, can change under deformations of the Hamiltonian or during the dynamical change of the system under renormalization group flow. Such changes signal a rearrangement of correlations of different degrees of freedom across spacetime and field theory space. In this paper we quantify such processes by studying the behavior of entanglement entropy in a specific example: the RG flow in the Coulomb branch of large-N superconformal field theories. We find evidence that the transition from the non-separable phase of the Higgsed gauge theory in the UV to the separable phase of deformed decoupled CFTs in the IR exhibits sharp features in the middle of the RG flow in the large-N limit. The entanglement entropy on a sphere with radius $\ell$ exhibits the formation of a separatrix on the co-dimension-two Ryu-Takayanagi surface in multi-centered brane geometries above a critical value of $\ell$. We discuss how other measures of entanglement and separability based on the relative quantum entropy and quantum mutual information might detect such transitions between non-separable and separable phases and how they would help describe some of the key properties of the IR physics of such flows.

[ { "created": "Tue, 28 Oct 2014 20:00:03 GMT", "version": "v1" }, { "created": "Wed, 5 Nov 2014 14:43:25 GMT", "version": "v2" }, { "created": "Thu, 15 Jan 2015 00:09:08 GMT", "version": "v3" } ]

2015-06-23

[ [ "Aprile", "Francesco", "" ], [ "Niarchos", "Vasilis", "" ] ]

The connectivity index, defined as the number of decoupled components of a separable quantum system, can change under deformations of the Hamiltonian or during the dynamical change of the system under renormalization group flow. Such changes signal a rearrangement of correlations of different degrees of freedom across spacetime and field theory space. In this paper we quantify such processes by studying the behavior of entanglement entropy in a specific example: the RG flow in the Coulomb branch of large-N superconformal field theories. We find evidence that the transition from the non-separable phase of the Higgsed gauge theory in the UV to the separable phase of deformed decoupled CFTs in the IR exhibits sharp features in the middle of the RG flow in the large-N limit. The entanglement entropy on a sphere with radius $\ell$ exhibits the formation of a separatrix on the co-dimension-two Ryu-Takayanagi surface in multi-centered brane geometries above a critical value of $\ell$. We discuss how other measures of entanglement and separability based on the relative quantum entropy and quantum mutual information might detect such transitions between non-separable and separable phases and how they would help describe some of the key properties of the IR physics of such flows.

10.957009

11.266702

11.999102

11.091256

11.56805

11.869178

11.457668

11.482305

11.528716

12.808411

11.442061

10.545979

11.120633

10.642065

10.750711

10.415401

10.50306

10.426174

10.545579

11.237533

10.600429

hep-th/0304264

Steffen Krusch

Fermions coupled to Skyrmions on S^3

31 pages, 6 figures

J.Phys.A36:8141,2003

10.1088/0305-4470/36/29/318

LEEDS-PURE-MATHS-2002-24

hep-th

null

This paper discusses Skyrmions on the 3-sphere coupled to fermions. The resulting Dirac equation commutes with a generalized angular momentum G. For G = 0 the Dirac equation can be solved explicitly for a constant Skyrme configuration and also for a SO(4) symmetric hedgehog configuration. We discuss how the spectrum changes due to the presence of a non-trivial winding number, and also consider more general Skyrme configurations numerically.

[ { "created": "Wed, 30 Apr 2003 14:28:32 GMT", "version": "v1" } ]

2008-11-26

[ [ "Krusch", "Steffen", "" ] ]

This paper discusses Skyrmions on the 3-sphere coupled to fermions. The resulting Dirac equation commutes with a generalized angular momentum G. For G = 0 the Dirac equation can be solved explicitly for a constant Skyrme configuration and also for a SO(4) symmetric hedgehog configuration. We discuss how the spectrum changes due to the presence of a non-trivial winding number, and also consider more general Skyrme configurations numerically.

10.588951

10.038713

10.635188

9.767733

9.803233

10.245008

9.707369

9.626458

9.980512

10.342598

9.743739

10.322646

10.516835

9.942467

10.06863

10.162031

9.982356

10.048114

10.084183

10.411272

9.849162

hep-th/0610275

Ta-Sheng Tai

Ta-Sheng Tai and Satoshi Yamaguchi

Correlator of Fundamental and Anti-symmetric Wilson Loops in AdS/CFT Correspondence

22 pages, 5 figures, v2: typos corrected, v3: final version in JHEP

JHEP 0702:035,2007

10.1088/1126-6708/2007/02/035

UT-06-22, IHES/P/06/53

hep-th

null

We study the two circular Wilson loop correlator in which one is of anti-symmetric representation, while the other is of fundamental representation in 4-dimensional ${\cal N}=4$ super Yang-Mills theory. This correlator has a good AdS dual, which is a system of a D5-brane and a fundamental string. We calculated the on-shell action of the string, and clarified the Gross-Ooguri transition in this correlator. Some limiting cases are also examined.

[ { "created": "Thu, 26 Oct 2006 08:15:21 GMT", "version": "v1" }, { "created": "Mon, 13 Nov 2006 05:39:54 GMT", "version": "v2" }, { "created": "Tue, 6 Mar 2007 10:42:13 GMT", "version": "v3" } ]

2010-10-27

[ [ "Tai", "Ta-Sheng", "" ], [ "Yamaguchi", "Satoshi", "" ] ]

We study the two circular Wilson loop correlator in which one is of anti-symmetric representation, while the other is of fundamental representation in 4-dimensional ${\cal N}=4$ super Yang-Mills theory. This correlator has a good AdS dual, which is a system of a D5-brane and a fundamental string. We calculated the on-shell action of the string, and clarified the Gross-Ooguri transition in this correlator. Some limiting cases are also examined.

8.447505

7.592686

8.435506

7.032469

6.611691

7.276147

7.391592

6.965107

6.756553

9.206229

7.393485

7.356815

7.640553

7.402129

7.122309

7.292363

7.405513

7.299552

7.289863

7.644146

7.341268

1903.04511

Federico Galli

Alice Bernamonti, Federico Galli, Juan Hernandez, Robert C. Myers, Shan-Ming Ruan, Joan Sim\'on

The First Law of Complexity

7 pages + supplemental material, 2 figures; v2: clarifications and reference added, published version

Phys. Rev. Lett. 123, 081601 (2019)

10.1103/PhysRevLett.123.081601

null

hep-th quant-ph

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

We investigate the variation of holographic complexity for two nearby target states. Based on Nielsen's geometric approach, we find the variation only depends on the end point of the optimal trajectory, a result which we designate the first law of complexity. As an example, we examine the complexity=action conjecture when the AdS vacuum is perturbed by a scalar field excitation, which corresponds to a coherent state. Remarkably, the gravitational contributions completely cancel and the final variation reduces to a boundary term coming entirely from the scalar field action. Hence the null boundary of Wheeler-DeWitt patch appears to act like the "end of the quantum circuit".

[ { "created": "Mon, 11 Mar 2019 18:01:08 GMT", "version": "v1" }, { "created": "Thu, 27 Feb 2020 13:34:25 GMT", "version": "v2" } ]

2020-02-28

[ [ "Bernamonti", "Alice", "" ], [ "Galli", "Federico", "" ], [ "Hernandez", "Juan", "" ], [ "Myers", "Robert C.", "" ], [ "Ruan", "Shan-Ming", "" ], [ "Simón", "Joan", "" ] ]

We investigate the variation of holographic complexity for two nearby target states. Based on Nielsen's geometric approach, we find the variation only depends on the end point of the optimal trajectory, a result which we designate the first law of complexity. As an example, we examine the complexity=action conjecture when the AdS vacuum is perturbed by a scalar field excitation, which corresponds to a coherent state. Remarkably, the gravitational contributions completely cancel and the final variation reduces to a boundary term coming entirely from the scalar field action. Hence the null boundary of Wheeler-DeWitt patch appears to act like the "end of the quantum circuit".

13.287937

12.681909

15.073775

11.499345

13.843305

12.848624

14.026339

11.754787

13.028887

18.513786

11.757418

12.703918

14.238963

12.804062

12.930902

13.25063

12.900825

12.94257

13.284446

13.870381

12.675415

hep-th/9807164

Steven S. Gubser

Einstein manifolds and conformal field theories

13 pages, latex, no figures, minor changes and references added

Phys. Rev. D 59, 025006 (1998)

10.1103/PhysRevD.59.025006

PUPT-1805

hep-th

null

In light of the AdS/CFT correspondence, it is natural to try to define a conformal field theory in a large N, strong coupling limit via a supergravity compactification on the product of an Einstein manifold and anti-de Sitter space. We consider the five-dimensional manifolds T^{pq} which are coset spaces (SU(2) x SU(2))/U(1). The central charge and a part of the chiral spectrum are calculated, respectively, from the volume of T^{pq} and the spectrum of the scalar laplacian. Of the manifolds considered, only T^{11} admits any supersymmetry: it is this manifold which characterizes the supergravity solution corresponding to a large number of D3-branes at a conifold singularity, discussed recently in hep-th/9807080. Through a field theory analysis of anomalous three point functions we are able to reproduce the central charge predicted for the T^{11} theory by supergravity: it is 27/32 of the central charge of the N=2 Z_2 orbifold theory from which it descends via an RG flow.

[ { "created": "Tue, 21 Jul 1998 22:28:37 GMT", "version": "v1" }, { "created": "Mon, 3 Aug 1998 19:51:45 GMT", "version": "v2" } ]

2016-08-25

[ [ "Gubser", "Steven S.", "" ] ]

In light of the AdS/CFT correspondence, it is natural to try to define a conformal field theory in a large N, strong coupling limit via a supergravity compactification on the product of an Einstein manifold and anti-de Sitter space. We consider the five-dimensional manifolds T^{pq} which are coset spaces (SU(2) x SU(2))/U(1). The central charge and a part of the chiral spectrum are calculated, respectively, from the volume of T^{pq} and the spectrum of the scalar laplacian. Of the manifolds considered, only T^{11} admits any supersymmetry: it is this manifold which characterizes the supergravity solution corresponding to a large number of D3-branes at a conifold singularity, discussed recently in hep-th/9807080. Through a field theory analysis of anomalous three point functions we are able to reproduce the central charge predicted for the T^{11} theory by supergravity: it is 27/32 of the central charge of the N=2 Z_2 orbifold theory from which it descends via an RG flow.

7.449461

6.917572

8.625197

6.666447

7.669787

6.914259

6.67478

6.968349

6.687623

8.269217

6.841715

7.013862

7.488845

6.993505

6.860894

6.879248

7.104101

7.013122

7.013353

7.5093

6.877383

1303.3044

Julien Garaud

Julien Garaud, Eugen Radu and Mikhail S. Volkov

Stable Cosmic Vortons

8 pages, 5 figures, improved and extended as compared to the first version, published

Phys. Rev. Lett. 111, 171602 (2013)

10.1103/PhysRevLett.111.171602

null

hep-th astro-ph.CO cond-mat.supr-con

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

We present for the first time solutions in the gauged $U(1)\times U(1)$ model of Witten describing vortons -- spinning flux loops stabilized against contraction by the centrifugal force. Vortons were heuristically described many years ago, however, the corresponding field theory solutions were not obtained and so the stability issue remained open. We construct explicitly a family of stationary vortons characterized by their charge and angular momentum. Most of them are unstable and break in pieces when perturbed. However, thick vortons with small radius preserve their form in the 3+1 non-linear dynamical evolution. This gives the first ever evidence of stable vortons and impacts several branches of physics where they could potentially exist. These range from cosmology, since vortons could perhaps contribute to dark matter, to QCD and condensed matter physics.

[ { "created": "Tue, 5 Mar 2013 13:00:05 GMT", "version": "v1" }, { "created": "Mon, 28 Oct 2013 12:33:20 GMT", "version": "v2" } ]

2013-10-29

[ [ "Garaud", "Julien", "" ], [ "Radu", "Eugen", "" ], [ "Volkov", "Mikhail S.", "" ] ]

We present for the first time solutions in the gauged $U(1)\times U(1)$ model of Witten describing vortons -- spinning flux loops stabilized against contraction by the centrifugal force. Vortons were heuristically described many years ago, however, the corresponding field theory solutions were not obtained and so the stability issue remained open. We construct explicitly a family of stationary vortons characterized by their charge and angular momentum. Most of them are unstable and break in pieces when perturbed. However, thick vortons with small radius preserve their form in the 3+1 non-linear dynamical evolution. This gives the first ever evidence of stable vortons and impacts several branches of physics where they could potentially exist. These range from cosmology, since vortons could perhaps contribute to dark matter, to QCD and condensed matter physics.

11.657718

13.110827

12.638865

10.892756

11.205212

11.362987

11.862739

10.927238

11.257162

12.631529

10.796842

11.10422

10.939867

10.645202

11.416338

11.123985

10.832121

11.051554

10.865216

11.448786

10.83635

1808.07883

Alessandro Strumia

Alberto Salvio, Alessandro Strumia and Hardi Veermae

New infra-red enhancements in 4-derivative gravity

20 pages, 3 figures

null

10.1140/epjc/s10052-018-6311-1

CERN-TH-2018-195

hep-th gr-qc hep-ph

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

4-derivative gravity provides a renormalizable theory of quantum gravity at the price of introducing a physical ghost, which could admit a sensible positive-energy quantization. To understand its physics, we compute ghost-mediated scatterings among matter particles at tree-level, finding a new power-like infra-red enhancement typical of 4-derivative theories, that we dub '$ghostrahlung$'. Super-Planckian scatterings get downgraded to Planckian by radiating hard gravitons and ghosts, which are weakly coupled and carry away the energy.

[ { "created": "Thu, 23 Aug 2018 18:00:13 GMT", "version": "v1" } ]

2018-11-14

[ [ "Salvio", "Alberto", "" ], [ "Strumia", "Alessandro", "" ], [ "Veermae", "Hardi", "" ] ]

4-derivative gravity provides a renormalizable theory of quantum gravity at the price of introducing a physical ghost, which could admit a sensible positive-energy quantization. To understand its physics, we compute ghost-mediated scatterings among matter particles at tree-level, finding a new power-like infra-red enhancement typical of 4-derivative theories, that we dub '$ghostrahlung$'. Super-Planckian scatterings get downgraded to Planckian by radiating hard gravitons and ghosts, which are weakly coupled and carry away the energy.

18.95874

19.06076

17.197577

16.00193

19.587034

19.107386

18.72168

17.814568

15.825464

18.625671

18.258839

15.95887

16.749592

15.892688

16.080671

15.434205

16.278128

16.296511

16.446348

16.086008

16.521841

hep-th/0302062

Michael Maziashvili

Particle production related to the tunneling in false vacuum decay

LaTeX, 6 pages

Mod.Phys.Lett. A18 (2003) 993

10.1142/S0217732303010806

null

hep-th

null

Motivated by the work of Mersini, the particle production related to the tunneling in false vacuum decay is carefully investigated in the thin-wall approximation. It is shown that in this case the particle production is exponentially suppressed even when the momentum is comparable to the curvature scale of the bubble. The number of created particles is ultraviolet finite.

[ { "created": "Mon, 10 Feb 2003 08:26:24 GMT", "version": "v1" }, { "created": "Sat, 15 Feb 2003 11:42:50 GMT", "version": "v2" } ]

2009-11-10

[ [ "Maziashvili", "Michael", "" ] ]

Motivated by the work of Mersini, the particle production related to the tunneling in false vacuum decay is carefully investigated in the thin-wall approximation. It is shown that in this case the particle production is exponentially suppressed even when the momentum is comparable to the curvature scale of the bubble. The number of created particles is ultraviolet finite.

12.068755

8.596485

10.200993

8.721377

9.003117

9.376485

9.753029

8.561982

9.053697

10.640421

8.786758

10.078363

10.282165

10.089151

10.313844

10.24741

10.526259

10.072823

9.953486

10.812202

9.994013

2106.03522

Michael Thies

Twisted kink dynamics in multiflavor chiral Gross-Neveu model

20 pages, no figure; v2: A remark and a reference added

null

10.1088/1751-8121/ac3cde

null

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

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

The Gross-Neveu model with ${\rm U}_L(N_f)\times{\rm U}_R(N_f)$ chiral symmetry is reconsidered in the large $N_c$ limit. The known analytical solution for the time dependent interaction of any number of twisted kinks and breathers is cast into a more revealing form. The ($x,t$)-dependent factors are isolated from constant coefficients and twist matrices. These latter generalize the twist phases of the single flavor model. The crucial tool is an identity for the inverse of a sum of two square matrices, derived from the known formula for the determinant of such a sum.

[ { "created": "Mon, 7 Jun 2021 11:28:40 GMT", "version": "v1" }, { "created": "Mon, 14 Jun 2021 15:17:32 GMT", "version": "v2" } ]

2021-12-22

[ [ "Thies", "Michael", "" ] ]

The Gross-Neveu model with ${\rm U}_L(N_f)\times{\rm U}_R(N_f)$ chiral symmetry is reconsidered in the large $N_c$ limit. The known analytical solution for the time dependent interaction of any number of twisted kinks and breathers is cast into a more revealing form. The ($x,t$)-dependent factors are isolated from constant coefficients and twist matrices. These latter generalize the twist phases of the single flavor model. The crucial tool is an identity for the inverse of a sum of two square matrices, derived from the known formula for the determinant of such a sum.

11.580244

11.291892

12.296584

10.467627

11.952918

10.973979

10.943007

10.207291

10.628672

13.014839

10.533257

10.767724

10.613318

10.277808

10.484066

10.555339

11.140006

10.216575

10.475669

11.015847

10.640438

0911.2152

Piotr Korcyl

Exact solutions to D=2 Supersymmetric Yang-Mills Quantum Mechanics with SU(3) gauge group

Proceedings of the XLIX Cracow School of Theoretical Physics, 2009

Acta Phys. Polon. Supp.2:623, 2009

null

hep-th

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

In this article we present the cut Fock space approach to the D=d+1=2, Supersymmetric Yang-Mills Quantum Mechanics (SYMQM). We start by briefly introducing the main features of the framework. We concentrate on those properties of the method which make it a convenient set up not only for numerical calculations but also for analytic computations. In the main part of the article a sample of results are discussed, namely, analytic and numerical analysis of the D=2, SYMQM systems with SU(2) and SU(3) gauge symmetry.

[ { "created": "Wed, 11 Nov 2009 14:42:26 GMT", "version": "v1" } ]

2014-11-20

[ [ "Korcyl", "Piotr", "" ] ]

In this article we present the cut Fock space approach to the D=d+1=2, Supersymmetric Yang-Mills Quantum Mechanics (SYMQM). We start by briefly introducing the main features of the framework. We concentrate on those properties of the method which make it a convenient set up not only for numerical calculations but also for analytic computations. In the main part of the article a sample of results are discussed, namely, analytic and numerical analysis of the D=2, SYMQM systems with SU(2) and SU(3) gauge symmetry.

9.780522

9.687268

10.856314

9.009813

9.671802

9.038806

9.962373

9.320065

9.34456

10.399679

9.491361

9.577673

9.728495

9.375096

9.262274

9.311647

9.968678

9.313334

9.315971

10.003015

9.045173

hep-th/9608102

Horacio A. Falomir

Horacio Alberto Falomir, Ricardo Enrique Gamboa Saravi, Mar\'{\I}a Amelia Muschietti, Eve Mariel Santangelo and Jorge Eduardo Solomin

On the relation between determinants and Green functions of elliptic operators with local boundary conditions

standard LaTeX, 14 pages

null

hep-th funct-an math.FA

null

A formula relating quotients of determinants of elliptic differential operators sharing their principal symbol, with local boundary conditions, to the corresponding Green function is given.

[ { "created": "Thu, 15 Aug 1996 18:33:25 GMT", "version": "v1" } ]

2008-02-03

[ [ "Falomir", "Horacio Alberto", "" ], [ "Saravi", "Ricardo Enrique Gamboa", "" ], [ "Muschietti", "Mar\\'{\\I}a Amelia", "" ], [ "Santangelo", "Eve Mariel", "" ], [ "Solomin", "Jorge Eduardo", "" ] ]

A formula relating quotients of determinants of elliptic differential operators sharing their principal symbol, with local boundary conditions, to the corresponding Green function is given.

24.351603

21.260435

23.183609

18.922441

20.458254

25.905031

19.983246

20.999512

26.397585

28.303106

20.909145

21.570683

22.789783

24.452118

20.46278

20.528593

21.55377

22.050224

21.188559

23.070953

24.459534

hep-th/9508006

Adi Armoni

A. Armoni and J. Sonnenschein

Mesonic Spectra of Bosonized QCD_2 Models

17 pages, Latex

Nucl.Phys. B457 (1995) 81-95

10.1016/0550-3213(95)00505-6

TAUP-2285-95

hep-th

null

We discuss bosonized two-dimensional QCD with massless fermions in the adjoint and multi-flavor fundamental representations. We evaluate the massive mesonic spectra of several models by using the light-front quantization and diagonalizing the mass operator $M^2=2P^+P^- $. We recover previous results in the case of one flavor adjoint fermions and we find the exact massive spectrum of multi flavor QCD in the limit of large number of flavors.

[ { "created": "Wed, 2 Aug 1995 10:55:17 GMT", "version": "v1" } ]

2009-10-28

[ [ "Armoni", "A.", "" ], [ "Sonnenschein", "J.", "" ] ]

We discuss bosonized two-dimensional QCD with massless fermions in the adjoint and multi-flavor fundamental representations. We evaluate the massive mesonic spectra of several models by using the light-front quantization and diagonalizing the mass operator $M^2=2P^+P^- $. We recover previous results in the case of one flavor adjoint fermions and we find the exact massive spectrum of multi flavor QCD in the limit of large number of flavors.

10.180029

7.272189

9.602124

7.656127

8.47513

9.145201

7.707381

7.378695

8.5323

9.263303

8.002174

8.200648

8.650376

8.107106

8.486289

8.351418

8.612811

7.794169

8.914293

9.11893

8.097231

hep-th/0510189

Mohammad M. Sheikh-Jabbari

Darius Sadri, M. M. Sheikh-Jabbari

Integrable Spin Chains on the Conformal Moose

53 pages, 14 eps figures; Added references

JHEP 0603:024,2006

10.1088/1126-6708/2006/03/024

IPM/P-2005/037, SU-ITP-05/30

hep-th

null

We consider N=1, D=4 superconformal U(N)^{pq} Yang-Mills theories dual to AdS_5xS^5/Z_pxZ_q orbifolds. We construct the dilatation operator of this superconformal gauge theory at one-loop planar level. We demonstrate that a specific sector of this dilatation operator can be thought of as the transfer matrix for a two-dimensional statistical mechanical system, related to an integrable SU(3) anti-ferromagnetic spin chain system, which in turn is equivalent to a 2+1-dimensional string theory where the spatial slices are discretized on a triangular lattice. This is an extension of the SO(6) spin chain picture of N=4 super Yang-Mills theory. We comment on the integrability of this N=1 gauge theory and hence the corresponding three-dimensional statistical mechanical system, its connection to three-dimensional lattice gauge theories, extensions to six-dimensional string theories, AdS/CFT type dualities and finally their construction via orbifolds and brane-box models. In the process we discover a new class of almost-BPS BMN type operators with large engineering dimensions but controllably small anomalous corrections.

[ { "created": "Sat, 22 Oct 2005 22:14:41 GMT", "version": "v1" }, { "created": "Wed, 9 Nov 2005 07:15:54 GMT", "version": "v2" } ]

2009-11-11

[ [ "Sadri", "Darius", "" ], [ "Sheikh-Jabbari", "M. M.", "" ] ]

We consider N=1, D=4 superconformal U(N)^{pq} Yang-Mills theories dual to AdS_5xS^5/Z_pxZ_q orbifolds. We construct the dilatation operator of this superconformal gauge theory at one-loop planar level. We demonstrate that a specific sector of this dilatation operator can be thought of as the transfer matrix for a two-dimensional statistical mechanical system, related to an integrable SU(3) anti-ferromagnetic spin chain system, which in turn is equivalent to a 2+1-dimensional string theory where the spatial slices are discretized on a triangular lattice. This is an extension of the SO(6) spin chain picture of N=4 super Yang-Mills theory. We comment on the integrability of this N=1 gauge theory and hence the corresponding three-dimensional statistical mechanical system, its connection to three-dimensional lattice gauge theories, extensions to six-dimensional string theories, AdS/CFT type dualities and finally their construction via orbifolds and brane-box models. In the process we discover a new class of almost-BPS BMN type operators with large engineering dimensions but controllably small anomalous corrections.

9.707288

9.492325

11.294188

9.353489

9.451278

10.010439

10.403665

9.469599

9.060952

11.65518

9.47751

9.636773

10.055263

9.40132

9.097858

9.415022

9.350142

9.366332

9.213989

9.949448

9.222871

1011.0574

Ion Vasile Vancea

R. Nardi, M. A. Santos and I. V. Vancea

Thermal magnetized D-branes on $R^{1,p}\times T^{d-p-1}$ in the generalized Thermo Field Dynamics approach

Minor error and misprints corrected. 22 pages

J.Phys.A44:235403,2011

10.1088/1751-8113/44/23/235403

null

hep-th

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

We construct the D-brane states at finite temperature in thermal equilibrium in the $\mathbb{R}^{1,p}\times{\mathbb{T}}^{d-p-1}$ spacetime in the presence of cold (unthermalized) Kalb-Ramond (KR) and U(1) gauge potential background. To this end, we first generalize the Thermo Field Dynamics (TFD) to wrapped closed strings. This generalization is consistent with the spatial translation invariance on the string world-sheet. Next, we determine the thermal string vacuum and define the entropy operator. From these data we calculate the entropy of the closed string and the free energy. Finally, we define the thermal D-brane states in $\mathbb{R}^{1,p}\times{\mathbb{T}}^{d-p-1}$ in the presence of cold constant KR field and U(1) gauge potential as the boundary states of the thermal closed string and compute their entropy.

[ { "created": "Tue, 2 Nov 2010 11:23:10 GMT", "version": "v1" }, { "created": "Mon, 9 May 2011 12:40:13 GMT", "version": "v2" } ]

2011-05-13

[ [ "Nardi", "R.", "" ], [ "Santos", "M. A.", "" ], [ "Vancea", "I. V.", "" ] ]

We construct the D-brane states at finite temperature in thermal equilibrium in the $\mathbb{R}^{1,p}\times{\mathbb{T}}^{d-p-1}$ spacetime in the presence of cold (unthermalized) Kalb-Ramond (KR) and U(1) gauge potential background. To this end, we first generalize the Thermo Field Dynamics (TFD) to wrapped closed strings. This generalization is consistent with the spatial translation invariance on the string world-sheet. Next, we determine the thermal string vacuum and define the entropy operator. From these data we calculate the entropy of the closed string and the free energy. Finally, we define the thermal D-brane states in $\mathbb{R}^{1,p}\times{\mathbb{T}}^{d-p-1}$ in the presence of cold constant KR field and U(1) gauge potential as the boundary states of the thermal closed string and compute their entropy.

6.740129

6.509372

6.962895

6.685016

7.038781

6.363455

6.617145

6.47019

6.095745

7.328858

6.294291

6.32093

6.773306

6.393027

6.45266

6.427239

6.43117

6.367095

6.269297

6.721193

6.263385

0910.3596

Rodrigo Ferreira Sobreiro

A. J. Gomez, M. S. Guimaraes, R. F. Sobreiro, S. P. Sorella

Equivalence between Zwanziger's horizon function and Gribov's no-pole ghost form factor

9 pp. No figures. Final version to appear in Physics Letters B

Phys.Lett.B683:217-221,2010

10.1016/j.physletb.2009.12.001

null

hep-th

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

The ghost form factor entering the Gribov no-pole condition is evaluated till the third order in the gauge fields. The resulting expression turns out to coincide with Zwanziger's horizon function implementing the restriction to the Gribov region in the functional integral.

[ { "created": "Mon, 19 Oct 2009 18:10:42 GMT", "version": "v1" }, { "created": "Wed, 2 Dec 2009 18:22:30 GMT", "version": "v2" } ]

2014-11-20

[ [ "Gomez", "A. J.", "" ], [ "Guimaraes", "M. S.", "" ], [ "Sobreiro", "R. F.", "" ], [ "Sorella", "S. P.", "" ] ]

The ghost form factor entering the Gribov no-pole condition is evaluated till the third order in the gauge fields. The resulting expression turns out to coincide with Zwanziger's horizon function implementing the restriction to the Gribov region in the functional integral.

19.042791

12.495945

15.48673

13.028455

12.247829

10.256865

13.887705

12.345691

10.274396

20.066616

13.10469

14.003644

19.073248

15.658468

15.568668

13.464556

15.195999

15.474256

14.456423

16.386467

14.958858

hep-th/0412150

Anamaria Font

A. Font, L.E. Ibanez

SUSY-breaking Soft Terms in a MSSM Magnetized D7-brane Model

Latex, 27 pages, v2: added references

JHEP 0503:040,2005

10.1088/1126-6708/2005/03/040

IFT-UAM/CSIC-04-62

hep-th hep-ph

null

We compute the SUSY-breaking soft terms in a magnetized D7-brane model with MSSM-like spectrum, under the general assumption of non-vanishing auxiliary fields of the dilaton and Kahler moduli. As a particular scenario we discuss SUSY breaking triggered by ISD or IASD 3-form fluxes.

[ { "created": "Tue, 14 Dec 2004 17:20:03 GMT", "version": "v1" }, { "created": "Mon, 20 Dec 2004 15:40:54 GMT", "version": "v2" } ]

2010-12-03

[ [ "Font", "A.", "" ], [ "Ibanez", "L. E.", "" ] ]

We compute the SUSY-breaking soft terms in a magnetized D7-brane model with MSSM-like spectrum, under the general assumption of non-vanishing auxiliary fields of the dilaton and Kahler moduli. As a particular scenario we discuss SUSY breaking triggered by ISD or IASD 3-form fluxes.

8.718035

8.03893

10.507441

7.376438

8.538968

8.432447

8.816122

8.757224

8.87238

11.083407

8.592698

8.564028

8.525057

8.344053

8.511038

8.512767

8.15827

8.069839

8.041127

8.154405

8.295834

hep-th/9507050

Edward Witten

Cumrun Vafa and Edward Witten

Dual String Pairs With N=1 And N=2 Supersymmetry In Four Dimensions

40 pages

Nucl.Phys.Proc.Suppl.46:225-247,1996

10.1016/0920-5632(96)00025-4

HUTP-95/A023, IASSNS-HEP-95-58

hep-th

null

Based on a simple adiabatic argument and by considering the heterotic string counterpart of certain symmetries of Type II superstrings such as $(-1)^{F_L}$ and orientation reversal, we construct orbifold candidates for dual pairs of heterotic and Type II string theories with $N=2$ and $N=1$ supersymmetry. We also analyze from a similar point of view the ${\rm K3}$ fibrations that enter in recently proposed $N=2$ candidates and use this structure together with certain orientation-reversing symmetries to construct $N=1$ dual pairs. These pairs involve generalizations of Type I vacua which can be equivalent to $E_8\times E_8$ heterotic strings, while standard Type I vacua are related to $SO(32)$.

[ { "created": "Fri, 7 Jul 1995 19:15:01 GMT", "version": "v1" }, { "created": "Sat, 8 Jul 1995 20:12:57 GMT", "version": "v2" } ]

2010-04-07

[ [ "Vafa", "Cumrun", "" ], [ "Witten", "Edward", "" ] ]

Based on a simple adiabatic argument and by considering the heterotic string counterpart of certain symmetries of Type II superstrings such as $(-1)^{F_L}$ and orientation reversal, we construct orbifold candidates for dual pairs of heterotic and Type II string theories with $N=2$ and $N=1$ supersymmetry. We also analyze from a similar point of view the ${\rm K3}$ fibrations that enter in recently proposed $N=2$ candidates and use this structure together with certain orientation-reversing symmetries to construct $N=1$ dual pairs. These pairs involve generalizations of Type I vacua which can be equivalent to $E_8\times E_8$ heterotic strings, while standard Type I vacua are related to $SO(32)$.

8.367767

8.288357

9.325582

8.058319

8.593778

8.542953

8.771945

8.576997

7.71904

9.075287

8.652637

8.344103

8.786713

8.103796

8.203485

8.397351

8.118716

8.138259

8.144292

8.625588

7.957452

0903.4638

Joyce Myers

Joyce C. Myers, Michael C. Ogilvie

Phase diagrams of SU(N) gauge theories with fermions in various representations

39 pages, 26 figures, JHEP3; references added, small corrections made

JHEP 0907:095,2009

10.1088/1126-6708/2009/07/095

null

hep-th

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

We minimize the one-loop effective potential for SU(N) gauge theories including fermions with finite mass in the fundamental (F), adjoint (Adj), symmetric (S), and antisymmetric (AS) representations. We calculate the phase diagram on S^1 x R^3 as a function of the length of the compact dimension, beta, and the fermion mass, m. We consider the effect of periodic boundary conditions [PBC(+)] on fermions as well as antiperiodic boundary conditions [ABC(-)]. The use of PBC(+) produces a rich phase structure. These phases are distinguished by the eigenvalues of the Polyakov loop P. Minimization of the effective potential for QCD(AS/S,+) results in a phase where | Im Tr P | is maximized, resulting in charge conjugation (C) symmetry breaking for all N and all values of (m beta), however, the partition function is the same up to O(1/N) corrections as when ABC are applied. Therefore, regarding orientifold planar equivalence, we argue that in the one-loop approximation C-breaking in QCD(AS/S,+) resulting from the application of PBC to fermions does not invalidate the large N equivalence with QCD(Adj,-). Similarly, with respect to orbifold planar equivalence, breaking of Z(2) interchange symmetry resulting from application of PBC to bifundamental (BF) representation fermions does not invalidate equivalence with QCD(Adj,-) in the one-loop perturbative limit because the partition functions of QCD(BF,-) and QCD(BF,+) are the same. Of particular interest as well is the case of adjoint fermions where for Nf > 1 Majorana flavour confinement is obtained for sufficiently small (m beta), and deconfinement for sufficiently large (m beta). For N >= 3 these two phases are separated by one or more additional phases, some of which can be characterized as partially-confining phases.

[ { "created": "Thu, 26 Mar 2009 17:04:07 GMT", "version": "v1" }, { "created": "Tue, 5 May 2009 12:54:50 GMT", "version": "v2" }, { "created": "Fri, 3 Jul 2009 18:47:09 GMT", "version": "v3" } ]

2009-08-05

[ [ "Myers", "Joyce C.", "" ], [ "Ogilvie", "Michael C.", "" ] ]

We minimize the one-loop effective potential for SU(N) gauge theories including fermions with finite mass in the fundamental (F), adjoint (Adj), symmetric (S), and antisymmetric (AS) representations. We calculate the phase diagram on S^1 x R^3 as a function of the length of the compact dimension, beta, and the fermion mass, m. We consider the effect of periodic boundary conditions [PBC(+)] on fermions as well as antiperiodic boundary conditions [ABC(-)]. The use of PBC(+) produces a rich phase structure. These phases are distinguished by the eigenvalues of the Polyakov loop P. Minimization of the effective potential for QCD(AS/S,+) results in a phase where | Im Tr P | is maximized, resulting in charge conjugation (C) symmetry breaking for all N and all values of (m beta), however, the partition function is the same up to O(1/N) corrections as when ABC are applied. Therefore, regarding orientifold planar equivalence, we argue that in the one-loop approximation C-breaking in QCD(AS/S,+) resulting from the application of PBC to fermions does not invalidate the large N equivalence with QCD(Adj,-). Similarly, with respect to orbifold planar equivalence, breaking of Z(2) interchange symmetry resulting from application of PBC to bifundamental (BF) representation fermions does not invalidate equivalence with QCD(Adj,-) in the one-loop perturbative limit because the partition functions of QCD(BF,-) and QCD(BF,+) are the same. Of particular interest as well is the case of adjoint fermions where for Nf > 1 Majorana flavour confinement is obtained for sufficiently small (m beta), and deconfinement for sufficiently large (m beta). For N >= 3 these two phases are separated by one or more additional phases, some of which can be characterized as partially-confining phases.

7.330485

8.099639

7.969672

7.390025

8.089007

8.550487

7.934576

7.765103

7.520754

8.237181

7.527429

7.247071

7.209935

7.08954

7.205897

7.256083

7.356205

7.040747

7.209218

7.378065

6.971478

0902.2833

Masaaki Watanabe

Masa-aki Watanabe, Sugumi Kanno, and Jiro Soda

Inflationary Universe with Anisotropic Hair

10 pages, 2 figures; an error in abstract corrected; (v2) replaced with version accepted by PRL, title changed from "Hairy Inflation"

Phys.Rev.Lett.102:191302,2009

10.1103/PhysRevLett.102.191302

null

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

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

We study an inflationary scenario with a vector field coupled with an inflaton field and show that the inflationary universe is endowed with anisotropy for a wide range of coupling functions. This anisotropic inflation is a tracking solution where the energy density of the vector field follows that of the inflaton field irrespective of initial conditions. We find a universal relation between the anisotropy and a slow-roll parameter of inflation. Our finding has observational implications and gives a counter example to the cosmic no-hair conjecture.

[ { "created": "Tue, 17 Feb 2009 04:55:47 GMT", "version": "v1" }, { "created": "Thu, 30 Apr 2009 07:52:45 GMT", "version": "v2" } ]

2009-06-30

[ [ "Watanabe", "Masa-aki", "" ], [ "Kanno", "Sugumi", "" ], [ "Soda", "Jiro", "" ] ]

We study an inflationary scenario with a vector field coupled with an inflaton field and show that the inflationary universe is endowed with anisotropy for a wide range of coupling functions. This anisotropic inflation is a tracking solution where the energy density of the vector field follows that of the inflaton field irrespective of initial conditions. We find a universal relation between the anisotropy and a slow-roll parameter of inflation. Our finding has observational implications and gives a counter example to the cosmic no-hair conjecture.

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