LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9807206

Renata Kallosh

Superconformal Actions in Killing Gauge

9 pages, Latex

null

SU-ITP-98-46

hep-th

null

The classical superconformal actions of branes in adS superspaces have a closed form depending on a matrix $M^2$ quadratic in fermions, as found in hep-th/9805217. One can gauge-fix the local $\kappa$-symmetry using the Killing spinors of the brane in the bulk. We show that in such gauges the superconformal actions are simplified dramatically since $M^2=0$ in all cases. The relation between classical and gauge-fixed actions for these theories reflects the relation between the full superconformal algebra and its supersolvable subalgebra.

[ { "created": "Tue, 28 Jul 1998 23:45:19 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kallosh", "Renata", "" ] ]

The classical superconformal actions of branes in adS superspaces have a closed form depending on a matrix $M^2$ quadratic in fermions, as found in hep-th/9805217. One can gauge-fix the local $\kappa$-symmetry using the Killing spinors of the brane in the bulk. We show that in such gauges the superconformal actions are simplified dramatically since $M^2=0$ in all cases. The relation between classical and gauge-fixed actions for these theories reflects the relation between the full superconformal algebra and its supersolvable subalgebra.

10.706853

9.167142

11.232973

9.657299

10.534836

9.695615

10.241545

10.255053

10.341881

12.266413

10.603538

9.396861

11.009934

9.995086

9.490085

9.831836

9.744247

9.839194

9.430438

10.805412

9.851039

hep-th/0202190

Machiko Hatsuda

Machiko Hatsuda, Kiyoshi Kamimura and Makoto Sakaguchi

From Super-AdS_5xS^5 Algebra to Super-pp-wave Algebra

7 pages, Latex file, references added

Nucl.Phys. B632 (2002) 114-120

10.1016/S0550-3213(02)00258-4

null

hep-th

null

The isometry algebras of the maximally supersymmetric solutions of IIB supergravity are derived by the Inonu-Wigner contractions of the super-AdS_5xS^5 algebra. The super-AdS_5xS^5 algebra allows introducing two contraction parameters; the one for the Penrose limit to the maximally supersymmetric pp-wave algebra and the AdS_5xS^5 radius for the flat limit. The fact that the Jacobi identity of three supercharges holds irrespectively of these parameters reflects the fact that the number of supersymmetry is not affected under both contractions.

[ { "created": "Wed, 27 Feb 2002 09:28:12 GMT", "version": "v1" }, { "created": "Fri, 22 Mar 2002 01:16:46 GMT", "version": "v2" } ]

2009-11-07

[ [ "Hatsuda", "Machiko", "" ], [ "Kamimura", "Kiyoshi", "" ], [ "Sakaguchi", "Makoto", "" ] ]

The isometry algebras of the maximally supersymmetric solutions of IIB supergravity are derived by the Inonu-Wigner contractions of the super-AdS_5xS^5 algebra. The super-AdS_5xS^5 algebra allows introducing two contraction parameters; the one for the Penrose limit to the maximally supersymmetric pp-wave algebra and the AdS_5xS^5 radius for the flat limit. The fact that the Jacobi identity of three supercharges holds irrespectively of these parameters reflects the fact that the number of supersymmetry is not affected under both contractions.

7.631936

6.536097

6.882115

6.228887

6.948355

6.137166

6.291881

6.184189

6.095697

8.214065

6.547074

6.458385

7.031883

6.387853

6.862831

6.582136

6.33952

6.414873

6.496666

6.858892

6.29733

2007.15760

Daniel Medina Rincon

Li Botao and Daniel Medina-Rincon

On precision holography for the circular Wilson loop in $AdS_{5}\times S^{5}$

7 pages, published version

null

10.1016/j.physletb.2020.135789

null

hep-th

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

The string theory calculation of the 1/2-BPS circular Wilson loop of N=4 SYM in the planar limit at next to leading order at strong coupling is revisited in the ratio of its semiclassical string partition function and the one dual to a latitude Wilson loop with trivial expectation value. After applying a conformal transformation from the disk to the cylinder, this problem can be approached by means of the Gel'fand-Yaglom formalism. Using results from the literature and the exclusion of zero modes from a modified Gel'fand-Yaglom formula, we obtain matching with the known field theory result. As seen in the phaseshift method computation, non-zero mode contributions cancel and the end result comes from the zero mode degeneracies of the latitude Wilson loop.

[ { "created": "Thu, 30 Jul 2020 22:24:19 GMT", "version": "v1" }, { "created": "Thu, 1 Oct 2020 17:26:28 GMT", "version": "v2" } ]

2020-10-02

[ [ "Botao", "Li", "" ], [ "Medina-Rincon", "Daniel", "" ] ]

The string theory calculation of the 1/2-BPS circular Wilson loop of N=4 SYM in the planar limit at next to leading order at strong coupling is revisited in the ratio of its semiclassical string partition function and the one dual to a latitude Wilson loop with trivial expectation value. After applying a conformal transformation from the disk to the cylinder, this problem can be approached by means of the Gel'fand-Yaglom formalism. Using results from the literature and the exclusion of zero modes from a modified Gel'fand-Yaglom formula, we obtain matching with the known field theory result. As seen in the phaseshift method computation, non-zero mode contributions cancel and the end result comes from the zero mode degeneracies of the latitude Wilson loop.

13.41007

13.093119

14.61286

12.380341

14.060316

13.711611

14.284335

11.598702

13.220271

15.454892

12.550447

11.910284

13.24781

12.244378

12.627811

12.464367

12.817187

12.246165

12.220644

13.244298

12.231202

2310.20698

Andrea Leonardo Guerrieri

Adwait Gaikwad, Victor Gorbenko, Andrea L. Guerrieri

QCD Worldsheet Axion from the Bootstrap

33 pages, 11 figures, v3: typos corrected

null

hep-th

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

The worldsheet axion plays a crucial role in the dynamics of the Yang-Mills confining flux tubes. According to the lattice measurements, its mass is of order the string tension and its coupling is close to a certain critical value. Using the S-matrix Bootstrap, we construct non-perturbative $2 \to 2$ branon scattering amplitudes which also feature a weakly coupled axion resonance with these properties. We study the extremal bootstrap amplitudes in detail and show that the axion plays a dominant role in their UV completion in two distinct regimes, in one of which it cannot be considered a parametrically light particle. We conjecture that the actual flux tube amplitudes exhibit a similar behavior.

[ { "created": "Tue, 31 Oct 2023 17:57:25 GMT", "version": "v1" }, { "created": "Fri, 24 Nov 2023 12:21:34 GMT", "version": "v2" }, { "created": "Wed, 27 Dec 2023 15:46:07 GMT", "version": "v3" } ]

2023-12-29

[ [ "Gaikwad", "Adwait", "" ], [ "Gorbenko", "Victor", "" ], [ "Guerrieri", "Andrea L.", "" ] ]

The worldsheet axion plays a crucial role in the dynamics of the Yang-Mills confining flux tubes. According to the lattice measurements, its mass is of order the string tension and its coupling is close to a certain critical value. Using the S-matrix Bootstrap, we construct non-perturbative $2 \to 2$ branon scattering amplitudes which also feature a weakly coupled axion resonance with these properties. We study the extremal bootstrap amplitudes in detail and show that the axion plays a dominant role in their UV completion in two distinct regimes, in one of which it cannot be considered a parametrically light particle. We conjecture that the actual flux tube amplitudes exhibit a similar behavior.

12.720512

10.406929

11.890253

11.479584

11.716848

11.723404

11.747663

11.600137

11.028496

11.649551

11.736955

11.513035

11.822836

11.538827

11.398372

11.412068

11.080052

11.855149

11.498233

11.69887

11.026687

0807.4635

Wolfgang Schleifenbaum

H. Reinhardt, D. Campagnari, D. Epple, M. Leder, M. Pak and W. Schleifenbaum

Coulomb gauge Yang-Mills theory in the Hamiltonian approach

8 pages, 9 figures, Invited talk given by H. Reinhardt at the international conference on "Selected Problems in Theoretical Physics, Dubna 23-27 June 2008"

null

hep-th hep-lat hep-ph

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

Within the Hamiltonian approach in Coulomb gauge the ghost and gluon propagators are determined from a variational solution of the Yang-Mills Schroedinger equation showing both gluon and heavy quark confinement. The continuum results are in good agreement with lattice data. The ghost form factor is identified as the dielectric function of the Yang-Mills vacuum and a connection between the Gribov-Zwanziger scenario and the dual Meissner effect is established. The topological susceptibility is calculated.

[ { "created": "Tue, 29 Jul 2008 11:31:52 GMT", "version": "v1" } ]

2008-07-31

[ [ "Reinhardt", "H.", "" ], [ "Campagnari", "D.", "" ], [ "Epple", "D.", "" ], [ "Leder", "M.", "" ], [ "Pak", "M.", "" ], [ "Schleifenbaum", "W.", "" ] ]

Within the Hamiltonian approach in Coulomb gauge the ghost and gluon propagators are determined from a variational solution of the Yang-Mills Schroedinger equation showing both gluon and heavy quark confinement. The continuum results are in good agreement with lattice data. The ghost form factor is identified as the dielectric function of the Yang-Mills vacuum and a connection between the Gribov-Zwanziger scenario and the dual Meissner effect is established. The topological susceptibility is calculated.

8.159753

6.870107

7.279724

6.489485

7.711581

6.649123

6.784546

7.47296

6.467537

7.301073

6.65797

7.156681

7.352531

6.90828

7.858175

7.262035

7.227167

7.389997

7.168531

7.277504

6.909721

hep-th/9705178

Physic

Fuad M. Saradzhev

Generalised chiral QED2 : Anomaly and Exotic Statistics

LATEX file, 36 pp., to appear in Phys.Rev. D

Phys.Rev. D56 (1997) 1055-1072

10.1103/PhysRevD.56.1055

null

hep-th

null

We study the influence of the anomaly on the physical quantum picture of the generalized chiral Schwinger model defined on the circle. We show that the anomaly i) results in the background linearly rising electric field and ii) makes the spectrum of the physical Hamiltonian nonrelativistic without a massive boson. The physical matter fields acquire exotic statistics . We construct explicitly the algebra of the Poincare generators and show that it differs from the Poincare one. We exhibit the role of the vacuum Berry phase in the failure of the Poincare algebra to close. We prove that, in spite of the background electric field, such phenomenon as the total screening of external charges characteristic for the standard Schwinger model takes place in the generalized chiral Schwinger model, too.

[ { "created": "Fri, 23 May 1997 08:24:40 GMT", "version": "v1" } ]

2009-10-30

[ [ "Saradzhev", "Fuad M.", "" ] ]

We study the influence of the anomaly on the physical quantum picture of the generalized chiral Schwinger model defined on the circle. We show that the anomaly i) results in the background linearly rising electric field and ii) makes the spectrum of the physical Hamiltonian nonrelativistic without a massive boson. The physical matter fields acquire exotic statistics . We construct explicitly the algebra of the Poincare generators and show that it differs from the Poincare one. We exhibit the role of the vacuum Berry phase in the failure of the Poincare algebra to close. We prove that, in spite of the background electric field, such phenomenon as the total screening of external charges characteristic for the standard Schwinger model takes place in the generalized chiral Schwinger model, too.

11.738312

8.917734

12.113926

10.735559

10.731468

10.180153

10.182718

10.048852

10.568032

12.38243

10.303384

10.295359

11.446061

10.999183

10.863716

10.585427

10.98278

10.886886

11.029042

11.731147

10.98254

2405.09608

Carolina Figueiredo

Nima Arkani-Hamed, Carolina Figueiredo

All-order splits and multi-soft limits for particle and string amplitudes

59 pages, 17 figures

null

hep-th hep-ph

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

The most important aspects of scattering amplitudes have long been thought to be associated with their poles. But recently a very different sort of "split" factorizations for a wide range of particle and string tree amplitudes have been discovered away from poles. In this paper, we give a simple, conceptual origin for these splits arising from natural properties of the binary geometry of the curve integral formulation for scattering amplitudes for Tr$(\Phi^3)$ theory. The most natural way of "joining" smaller surfaces to build larger ones directly produces a choice of kinematics for which higher amplitudes factor into lower ones. This gives a generalization of splits to all orders in the topological expansion. These splits allow us to access and compute loop-integrated multi-soft limits for particle and string amplitudes, at all loop orders. This includes split factorizations and multi-soft limits for pion and gluon amplitudes, that are related to Tr$(\Phi^3)$ theory by a simple kinematical shift.

[ { "created": "Wed, 15 May 2024 18:00:00 GMT", "version": "v1" } ]

2024-05-17

[ [ "Arkani-Hamed", "Nima", "" ], [ "Figueiredo", "Carolina", "" ] ]

The most important aspects of scattering amplitudes have long been thought to be associated with their poles. But recently a very different sort of "split" factorizations for a wide range of particle and string tree amplitudes have been discovered away from poles. In this paper, we give a simple, conceptual origin for these splits arising from natural properties of the binary geometry of the curve integral formulation for scattering amplitudes for Tr$(\Phi^3)$ theory. The most natural way of "joining" smaller surfaces to build larger ones directly produces a choice of kinematics for which higher amplitudes factor into lower ones. This gives a generalization of splits to all orders in the topological expansion. These splits allow us to access and compute loop-integrated multi-soft limits for particle and string amplitudes, at all loop orders. This includes split factorizations and multi-soft limits for pion and gluon amplitudes, that are related to Tr$(\Phi^3)$ theory by a simple kinematical shift.

15.910404

14.708243

16.575214

13.626006

15.222085

14.682282

14.560951

14.74251

14.262069

17.178133

14.118385

14.063374

14.927229

14.311978

13.803729

14.234879

14.264266

14.100405

14.337306

15.475569

13.697535

hep-th/9702163

null

A.A. Tseytlin

Composite BPS configurations of p-branes in 10 and 11 dimensions

28 pages, harvmac. Misprints corrected, version to appear in Classical and Quantum Gravity

Class.Quant.Grav.14:2085-2105,1997

10.1088/0264-9381/14/8/009

Imperial/TP/96-97/25

hep-th

null

We give an overview of various composite BPS configurations of string theory and M-theory p-branes represented as classical supergravity solutions. Type II string backgrounds can be obtained by S- and T- dualities from NS-NS string - 5-brane configurations corresponding to exact conformal sigma models. The single-center solutions can be also generated from the Schwarzschild solution by applying a sequence of boosts, dualities and taking the extremal limit. Basic `marginal' backgrounds representing threshold BPS bound states of branes are parametrised by a number of independent harmonic functions. `Non-marginal' BPS configurations in D=10 can be constructed from marginal ones by using U-duality and thus depend also on a number of O(d,d) and SL(2,R) parameters. We present a new more general class of configurations in which some of the branes or their intersections are localised on other branes. In particular, we find the type IIB supergravity background describing the BPS configuration of a 3-brane, RR 5-brane and NS-NS 5-brane, and related `localised' 2-5-5 D=11 solution. We also consider the classical action for a 3-brane probe moving in such backgrounds and determine the structure of the corresponding moduli space metrics.

[ { "created": "Mon, 24 Feb 1997 00:26:41 GMT", "version": "v1" }, { "created": "Thu, 22 May 1997 19:53:53 GMT", "version": "v2" } ]

2009-09-17

[ [ "Tseytlin", "A. A.", "" ] ]

We give an overview of various composite BPS configurations of string theory and M-theory p-branes represented as classical supergravity solutions. Type II string backgrounds can be obtained by S- and T- dualities from NS-NS string - 5-brane configurations corresponding to exact conformal sigma models. The single-center solutions can be also generated from the Schwarzschild solution by applying a sequence of boosts, dualities and taking the extremal limit. Basic `marginal' backgrounds representing threshold BPS bound states of branes are parametrised by a number of independent harmonic functions. `Non-marginal' BPS configurations in D=10 can be constructed from marginal ones by using U-duality and thus depend also on a number of O(d,d) and SL(2,R) parameters. We present a new more general class of configurations in which some of the branes or their intersections are localised on other branes. In particular, we find the type IIB supergravity background describing the BPS configuration of a 3-brane, RR 5-brane and NS-NS 5-brane, and related `localised' 2-5-5 D=11 solution. We also consider the classical action for a 3-brane probe moving in such backgrounds and determine the structure of the corresponding moduli space metrics.

10.079388

9.75071

11.819187

9.538853

9.932693

9.571359

9.757532

9.351317

9.999986

12.003543

9.312625

10.024554

10.396548

9.856343

10.034002

9.667537

9.908689

9.803834

9.922379

10.508601

9.674927

2304.14938

Nishant Gupta

Nishant Gupta and Nemani V. Suryanarayana

All chiral ${\cal W}$-algebra extensions of $\mathfrak{so}(2,3)$

Accepted for publication in JHEP. Elaborated introduction. Some calculations in the main text shifted to Appendix. References added

null

hep-th

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

We show that there are four chiral ${\cal W}$-algebra extensions of $\mathfrak{so}(2,3)$ algebra and construct them explicitly. We do this by a simple identification of each of the inequivalent embeddings of a copy of $\mathfrak{sl}(2,{\mathbb R})$ in the $\mathfrak{so}(2,3)$ algebra and the maximal subalgebra $\mathfrak{h}$ that commutes with it. Then using the standard 2d chiral CFT techniques we find the corresponding ${\cal W}$-algebra extensions. Two of the four resultant ${\cal W}$-algebras are new, one of which may be thought of as the conformal $\mathfrak{bms}_3$ algebra valid for finite values of its central charge.}

[ { "created": "Fri, 28 Apr 2023 15:49:09 GMT", "version": "v1" }, { "created": "Wed, 24 Jul 2024 14:53:36 GMT", "version": "v2" } ]

2024-07-25

[ [ "Gupta", "Nishant", "" ], [ "Suryanarayana", "Nemani V.", "" ] ]

We show that there are four chiral ${\cal W}$-algebra extensions of $\mathfrak{so}(2,3)$ algebra and construct them explicitly. We do this by a simple identification of each of the inequivalent embeddings of a copy of $\mathfrak{sl}(2,{\mathbb R})$ in the $\mathfrak{so}(2,3)$ algebra and the maximal subalgebra $\mathfrak{h}$ that commutes with it. Then using the standard 2d chiral CFT techniques we find the corresponding ${\cal W}$-algebra extensions. Two of the four resultant ${\cal W}$-algebras are new, one of which may be thought of as the conformal $\mathfrak{bms}_3$ algebra valid for finite values of its central charge.}

5.610158

5.53713

5.613247

5.282572

5.682407

5.437108

5.729593

5.379154

5.278308

5.737535

5.308069

5.382532

5.588025

5.322723

5.398894

5.372035

5.328193

5.290101

5.324295

5.501346

5.32579

2307.04729

Francesco Sciotti

Teng Ma, Alex Pomarol and Francesco Sciotti

Bootstrapping the Chiral Anomaly at Large $N_c$

20 pages, 1 figure. v2: bound on the anomaly generalised and typos corrected

null

hep-th hep-lat hep-ph

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

The bootstrap approach (demanding consistency conditions to scattering amplitudes) has shown to be quite powerful to tightly constrain gauge theories at large $N_c$. We extend previous analysis to scattering amplitudes involving pions and external gauge bosons. These amplitudes allow us to access the chiral anomaly and connect low-energy physical quantities to UV properties of the theory. In particular, we are able to obtain an analytic bound on the chiral anomaly coefficient as a function of the pion dipole polarizabilities. This bound can be useful for holographic models whose dual UV completions are not known, and provide a consistency condition to lattice simulations.

[ { "created": "Mon, 10 Jul 2023 17:38:43 GMT", "version": "v1" }, { "created": "Fri, 28 Jul 2023 16:20:32 GMT", "version": "v2" } ]

2023-07-31

[ [ "Ma", "Teng", "" ], [ "Pomarol", "Alex", "" ], [ "Sciotti", "Francesco", "" ] ]

The bootstrap approach (demanding consistency conditions to scattering amplitudes) has shown to be quite powerful to tightly constrain gauge theories at large $N_c$. We extend previous analysis to scattering amplitudes involving pions and external gauge bosons. These amplitudes allow us to access the chiral anomaly and connect low-energy physical quantities to UV properties of the theory. In particular, we are able to obtain an analytic bound on the chiral anomaly coefficient as a function of the pion dipole polarizabilities. This bound can be useful for holographic models whose dual UV completions are not known, and provide a consistency condition to lattice simulations.

13.360153

12.022733

11.668718

11.002377

12.441529

12.466794

11.759426

12.408848

10.319671

12.930476

11.955885

11.626874

11.685441

11.268489

11.969376

11.899195

11.307927

11.285433

11.089942

11.37219

11.062235

hep-th/0304232

Ari Pankiewicz

An alternative formulation of light-cone string field theory on the plane wave

28 pages; v2: minor changes

JHEP 0306 (2003) 047

10.1088/1126-6708/2003/06/047

null

hep-th

null

We construct a manifestly SO(4) x SO(4) invariant, supersymmetric extension of the closed string cubic interaction vertex and dynamical supercharges in light-cone string field theory on the plane wave space-time. We find that the effective vertex for states built out of bosonic creation oscillators coincides with the one previously constructed in the SO(8) formalism and conjecture that in general the two formulations are physically equivalent. Further evidence for this claim is obtained from the discrete Z_2-symmetry of the plane wave and by computing the mass-shift of the simplest stringy state using perturbation theory. We verify that the leading non-planar correction to the anomalous dimension of the dual gauge theory operators is correctly recovered.

[ { "created": "Mon, 28 Apr 2003 09:28:40 GMT", "version": "v1" }, { "created": "Thu, 26 Jun 2003 11:54:28 GMT", "version": "v2" } ]

2009-11-10

[ [ "Pankiewicz", "Ari", "" ] ]

We construct a manifestly SO(4) x SO(4) invariant, supersymmetric extension of the closed string cubic interaction vertex and dynamical supercharges in light-cone string field theory on the plane wave space-time. We find that the effective vertex for states built out of bosonic creation oscillators coincides with the one previously constructed in the SO(8) formalism and conjecture that in general the two formulations are physically equivalent. Further evidence for this claim is obtained from the discrete Z_2-symmetry of the plane wave and by computing the mass-shift of the simplest stringy state using perturbation theory. We verify that the leading non-planar correction to the anomalous dimension of the dual gauge theory operators is correctly recovered.

11.816929

11.067112

13.484962

10.407607

11.772561

10.801286

11.87464

10.068973

11.077223

13.972324

11.107991

10.577637

11.684363

10.971273

10.565609

10.885218

11.191408

10.711412

10.628846

12.392865

10.888052

hep-th/9303002

Ulf Danielsson

Ulf H. Danielsson

Super Black Holes

8 pages, CERN-TH.6817-93

Phys.Lett. B307 (1993) 44-48

10.1016/0370-2693(93)90190-S

null

hep-th

null

A quantum version of 2D super dilaton gravity containing a black hole is constructed for $N>8$. A previous disagreement as to whether this is possible or not is resolved.

[ { "created": "Mon, 1 Mar 1993 11:57:13 GMT", "version": "v1" } ]

2009-10-22

[ [ "Danielsson", "Ulf H.", "" ] ]

A quantum version of 2D super dilaton gravity containing a black hole is constructed for $N>8$. A previous disagreement as to whether this is possible or not is resolved.

37.257099

23.520817

27.918591

19.700983

20.067675

20.51141

20.085125

21.144644

21.369661

30.007456

21.856438

21.285851

28.667128

22.699266

22.602087

22.515402

23.807539

22.187918

24.374262

26.009439

22.012793

1807.08882

Yu Nakayama

Gravity Dual for Very Special Conformal Field Theories in type IIB Supergravity

11 pages

null

10.1016/j.physletb.2018.09.051

RUP-18-24

hep-th

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

We study holographic dual descriptions of very special conformal field theories with the T(2) symmetry. After constructing solutions in effective five dimensional Einstein gravity coupled with massive two-form fields, we uplift them to the ten dimensional type IIB supergravity, via a consistent truncation ansatz, to derive new analytical solutions in string theory. From the Kaluza-Klein ansatz in terms of the internal Sasaki-Einstein space, we obtain their field theory interpretation with concrete realizations in a large class of holographic $\mathcal{N}=1$ supersymmetric conformal field theories. Null compactification of these theories yields holographic dual descriptions of non-relativistic critical systems with translational invariance but without rotational invariance such as the ones induced from a constant electromagnetic field.

[ { "created": "Tue, 24 Jul 2018 02:18:44 GMT", "version": "v1" } ]

2018-10-03

[ [ "Nakayama", "Yu", "" ] ]

We study holographic dual descriptions of very special conformal field theories with the T(2) symmetry. After constructing solutions in effective five dimensional Einstein gravity coupled with massive two-form fields, we uplift them to the ten dimensional type IIB supergravity, via a consistent truncation ansatz, to derive new analytical solutions in string theory. From the Kaluza-Klein ansatz in terms of the internal Sasaki-Einstein space, we obtain their field theory interpretation with concrete realizations in a large class of holographic $\mathcal{N}=1$ supersymmetric conformal field theories. Null compactification of these theories yields holographic dual descriptions of non-relativistic critical systems with translational invariance but without rotational invariance such as the ones induced from a constant electromagnetic field.

10.572952

10.871448

11.271387

9.174582

11.161254

10.558341

10.345655

10.689292

10.110038

12.457415

10.091678

10.20429

10.735611

9.858881

10.211244

9.990153

10.000429

9.643483

9.945645

10.683989

9.524431

1504.05537

Matthew Dodelson

Matthew Dodelson and Eva Silverstein

Longitudinal nonlocality in the string S-matrix

40 pages, 10 figures. v2: typos fixed

null

SLAC-PUB-16260,SU/ITP-15/04,NSF-KITP-15-047

hep-th

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

We analyze four and five-point tree-level open string S-matrix amplitudes in the Regge limit, exhibiting some basic features which indicate longitudinal nonlocality, as suggested by light cone gauge calculations of string spreading. Using wavepackets to localize the asymptotic states, we compute the peak trajectories followed by the incoming and outgoing strings, determined by the phases in the amplitudes. These trajectories trace back in all dimensions such that the incoming strings deflect directly into corresponding outgoing ones, as expected from a Reggeon analysis. Bremsstrahlung radiation at five points emerges from the deflection point, corroborating this picture. An explicit solution for the intermediate state produced at four points in the $s$-channel exists, with endpoints precisely following the corresponding geometry and a periodicity which matches the series of time delays predicted by the amplitude. We find a nonzero peak impact parameter for this process, and show that it admits an interpretation in terms of longitudinal-spreading induced string joining, at the scale expected from light cone calculations, and does not appear to admit a straightforward interpretation purely in terms of the well-established transverse spreading. At five points, we exhibit a regime with advanced emission of one of the deflected outgoing strings. This strongly suggests early interaction induced by longitudinal nonlocality. In a companion paper, we apply string spreading to horizon dynamics.

[ { "created": "Tue, 21 Apr 2015 18:27:38 GMT", "version": "v1" }, { "created": "Thu, 30 Apr 2015 16:06:24 GMT", "version": "v2" } ]

2015-05-01

[ [ "Dodelson", "Matthew", "" ], [ "Silverstein", "Eva", "" ] ]

We analyze four and five-point tree-level open string S-matrix amplitudes in the Regge limit, exhibiting some basic features which indicate longitudinal nonlocality, as suggested by light cone gauge calculations of string spreading. Using wavepackets to localize the asymptotic states, we compute the peak trajectories followed by the incoming and outgoing strings, determined by the phases in the amplitudes. These trajectories trace back in all dimensions such that the incoming strings deflect directly into corresponding outgoing ones, as expected from a Reggeon analysis. Bremsstrahlung radiation at five points emerges from the deflection point, corroborating this picture. An explicit solution for the intermediate state produced at four points in the $s$-channel exists, with endpoints precisely following the corresponding geometry and a periodicity which matches the series of time delays predicted by the amplitude. We find a nonzero peak impact parameter for this process, and show that it admits an interpretation in terms of longitudinal-spreading induced string joining, at the scale expected from light cone calculations, and does not appear to admit a straightforward interpretation purely in terms of the well-established transverse spreading. At five points, we exhibit a regime with advanced emission of one of the deflected outgoing strings. This strongly suggests early interaction induced by longitudinal nonlocality. In a companion paper, we apply string spreading to horizon dynamics.

22.704792

23.944572

24.088858

22.723951

23.326538

22.496058

24.701191

23.999754

22.389969

27.165535

21.844894

22.76206

22.157356

21.229652

22.2694

21.958702

22.600794

21.508112

21.906797

22.80928

21.555937

hep-th/0208021

D. Toublan

D. Toublan and J.J.M. Verbaarschot

Dirac Spectra and Real QCD at Nonzero Chemical Potential

26 pages, 8 Postscript figures, Invited talk at Symposium and Workshop "Continuous Advances in QCD 2002 / Arkadyfest", May 17-23, 2002

null

10.1142/9789812776310_0018

SUNY-NTG-02/27

hep-th cond-mat hep-lat hep-ph

null

We show that QCD Dirac spectra well below Lambda_{QCD}, both at zero and at nonzero chemical potential, can be obtained from a chiral Lagrangian. At nonzero chemical potential Goldstone bosons with nonzero baryon number condense beyond a critical value. Such superfluid phase transition is likely to occur in any system with a chemical potential with the quantum numbers of the Goldstone bosons. We discuss the phase diagram for one such system, QCD with two colors, and show the existence of a tricritical point in an effective potential approach.

[ { "created": "Fri, 2 Aug 2002 21:46:33 GMT", "version": "v1" } ]

2017-08-23

[ [ "Toublan", "D.", "" ], [ "Verbaarschot", "J. J. M.", "" ] ]

We show that QCD Dirac spectra well below Lambda_{QCD}, both at zero and at nonzero chemical potential, can be obtained from a chiral Lagrangian. At nonzero chemical potential Goldstone bosons with nonzero baryon number condense beyond a critical value. Such superfluid phase transition is likely to occur in any system with a chemical potential with the quantum numbers of the Goldstone bosons. We discuss the phase diagram for one such system, QCD with two colors, and show the existence of a tricritical point in an effective potential approach.

9.688474

9.685273

8.935139

8.540956

9.938596

10.766075

9.773133

9.513556

8.857904

10.182019

9.656327

9.63308

9.556413

9.369269

9.337436

9.597274

9.616003

9.301855

9.158945

9.565742

9.231682

2208.03481

Riccardo Falcone

Riccardo Falcone, Claudio Conti

Minkowski-Fock states in accelerated frames

null

Phys. Rev. D 106, 045013 (2022)

10.1103/PhysRevD.106.045013

null

hep-th gr-qc quant-ph

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

An explicit Wigner formulation of Minkowski particle states for non-inertial observers is unknown. Here, we derive a general prescription to compute the characteristic function for Minkowski-Fock states in accelerated frames. For the special case of single-particle and two-particle states, this method enables to derive mean values of particle numbers and correlation function in the momentum space, and the way they are affected by the acceleration of the observer. We show an indistinguishability between Minkowski single-particle and two-particle states in terms of Rindler particle distribution that can be regarded as a way for the observer to detect any acceleration of the frame. We find that for two-particle states the observer is also able to detect acceleration by measuring the correlation between Rindler particles with different momenta.

[ { "created": "Sat, 6 Aug 2022 09:35:03 GMT", "version": "v1" } ]

2023-06-06

[ [ "Falcone", "Riccardo", "" ], [ "Conti", "Claudio", "" ] ]

An explicit Wigner formulation of Minkowski particle states for non-inertial observers is unknown. Here, we derive a general prescription to compute the characteristic function for Minkowski-Fock states in accelerated frames. For the special case of single-particle and two-particle states, this method enables to derive mean values of particle numbers and correlation function in the momentum space, and the way they are affected by the acceleration of the observer. We show an indistinguishability between Minkowski single-particle and two-particle states in terms of Rindler particle distribution that can be regarded as a way for the observer to detect any acceleration of the frame. We find that for two-particle states the observer is also able to detect acceleration by measuring the correlation between Rindler particles with different momenta.

9.909343

10.611307

10.36688

9.775582

9.959645

10.823963

11.151605

10.321321

10.032036

10.451652

9.915623

9.810137

10.040956

9.87849

9.53328

9.674782

9.846563

9.472898

9.791576

9.978654

9.905752

2008.09031

Igor F. Justo

O. C. Junqueira, I. F. Justo, D. S. Montes, A. D. Pereira, R. F. Sobreiro

Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis

16 pages, 1 figure

Phys. Rev. D 102, 074029 (2020)

10.1103/PhysRevD.102.074029

null

hep-th

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

In this work we investigate the effects of the Gribov prescription to get rid of zero-modes of the Faddeev-Popov operator, at one-loop order in perturbation theory, in the Landau-DeWitt gauge. Quantum fluctuations are taken around a transverse background gauge field. The one-loop effective action is explicitly computed, and the behavior of the gauge and ghost fields propagators are carefully investigated. At one-loop and for generic transverse background configurations the effective action is found to be \textit{not} background invariant, as expected, due to a non-vanishing background contribution. The gauge field propagator has the same form as in the case {where the} background is a trivial field, $i.e.$ with complex conjugate poles, which are modified by the corresponding gap equation. The ghost-anti-ghost propagator still displays its enhanced $\sim p^{-4}$ behavior.

[ { "created": "Thu, 20 Aug 2020 15:34:10 GMT", "version": "v1" } ]

2020-11-04

[ [ "Junqueira", "O. C.", "" ], [ "Justo", "I. F.", "" ], [ "Montes", "D. S.", "" ], [ "Pereira", "A. D.", "" ], [ "Sobreiro", "R. F.", "" ] ]

In this work we investigate the effects of the Gribov prescription to get rid of zero-modes of the Faddeev-Popov operator, at one-loop order in perturbation theory, in the Landau-DeWitt gauge. Quantum fluctuations are taken around a transverse background gauge field. The one-loop effective action is explicitly computed, and the behavior of the gauge and ghost fields propagators are carefully investigated. At one-loop and for generic transverse background configurations the effective action is found to be \textit{not} background invariant, as expected, due to a non-vanishing background contribution. The gauge field propagator has the same form as in the case {where the} background is a trivial field, $i.e.$ with complex conjugate poles, which are modified by the corresponding gap equation. The ghost-anti-ghost propagator still displays its enhanced $\sim p^{-4}$ behavior.

9.816397

9.241832

9.727202

8.923469

9.001466

9.437384

9.460673

8.770107

9.014109

10.69404

8.548169

8.863369

9.503559

9.119506

8.842549

8.954174

8.930302

9.289185

9.15927

9.661368

9.056628

hep-th/0312036

Henryk Arodz

H. Arodz

Symmetry breaking transition and appearance of compactons in a mechanical system

New reference added

Acta Phys.Polon. B35 (2004) 625-638

null

TPJU-8/2003

hep-th cond-mat.soft nlin.PS

null

Recently we have described a mechanical system which exhibits spontaneous breaking of Z_2 symmetry and related topological kinks called compactons. The corresponding field potential is not differentiable at its global minima. Therefore, standard derivation of dispersion relation $\omega(k)$ for small perturbations around the ground state can not be applied. In the present paper we obtain the dispersion relation. It turns out that evolution equation remains nonlinear even for arbitrarily small perturbations. The shape of the resulting running wave is piecewise combined from cosh functions. We also analyse dynamics of the symmetry breaking transition. It turns out that the number of produced compacton-anticompacton pairs strongly depends on the form of initial perturbation of the unstable former ground state.

[ { "created": "Wed, 3 Dec 2003 13:41:47 GMT", "version": "v1" }, { "created": "Tue, 16 Dec 2003 12:54:08 GMT", "version": "v2" } ]

2007-05-23

[ [ "Arodz", "H.", "" ] ]

Recently we have described a mechanical system which exhibits spontaneous breaking of Z_2 symmetry and related topological kinks called compactons. The corresponding field potential is not differentiable at its global minima. Therefore, standard derivation of dispersion relation $\omega(k)$ for small perturbations around the ground state can not be applied. In the present paper we obtain the dispersion relation. It turns out that evolution equation remains nonlinear even for arbitrarily small perturbations. The shape of the resulting running wave is piecewise combined from cosh functions. We also analyse dynamics of the symmetry breaking transition. It turns out that the number of produced compacton-anticompacton pairs strongly depends on the form of initial perturbation of the unstable former ground state.

14.099971

15.05437

14.899041

13.763988

14.654461

14.797882

15.192532

13.506285

13.329529

14.637819

12.941425

12.200213

13.336653

13.081553

12.730708

12.633355

12.895308

13.664212

13.062226

13.175473

13.172979

2012.06986

Ilyas Haouam

Two-dimensional pauli equation in noncommutative phase-space

arXiv admin note: text overlap with arXiv:2006.00881

Ukrainian Journal of Physics, 2021

10.15407/ujpe66.9.771

null

hep-th

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

In this paper, we investigated the Pauli equation in a two-dimensional noncommutative phase-space by considering a constant magnetic field perpendicular to the plane. We mapped the noncommutative problem to the equivalent commutative one through a set of two-dimensional Bopp-shift transformation. The energy spectrum and the wave function of the two-dimensional noncommutative Pauli equation are found, where the problem in question has been mapped to the Landau problem. Further, within the classical limit, we have derived the noncommutative semi-classical partition function of the two-dimensional Pauli system of one-particle and N-particle systems. Consequently, we have studied its thermodynamic properties, i.e. the Helmholtz free energy, mean energy, specific heat and entropy in noncommutative and commutative phase-spaces. The impact of the phase-space noncommutativity on the Pauli system is successfully examined.

[ { "created": "Sun, 13 Dec 2020 07:05:50 GMT", "version": "v1" }, { "created": "Sun, 7 Feb 2021 19:47:10 GMT", "version": "v2" } ]

2021-10-11

[ [ "Haouam", "Ilyas", "" ] ]

In this paper, we investigated the Pauli equation in a two-dimensional noncommutative phase-space by considering a constant magnetic field perpendicular to the plane. We mapped the noncommutative problem to the equivalent commutative one through a set of two-dimensional Bopp-shift transformation. The energy spectrum and the wave function of the two-dimensional noncommutative Pauli equation are found, where the problem in question has been mapped to the Landau problem. Further, within the classical limit, we have derived the noncommutative semi-classical partition function of the two-dimensional Pauli system of one-particle and N-particle systems. Consequently, we have studied its thermodynamic properties, i.e. the Helmholtz free energy, mean energy, specific heat and entropy in noncommutative and commutative phase-spaces. The impact of the phase-space noncommutativity on the Pauli system is successfully examined.

6.112049

6.181468

6.751055

6.073302

5.950442

5.984844

6.119745

5.543816

5.74968

7.274176

5.817725

6.142062

6.076925

5.877347

5.958666

6.034165

5.968476

5.905291

5.910878

5.966719

5.873683

hep-th/0611003

Daniel Green

Nothing for Branes

17 pages, v.2: added discussion of conformal invariance, added refs

JHEP 0704:025,2007

10.1088/1126-6708/2007/04/025

SU-ITP-06/30, SLAC-PUB-12179

hep-th

null

Recent work on closed string tachyon condensation suggests the existence of a `nothing state' where closed strings and space itself vanish. We consider the evolution of D-branes in such backgrounds, focusing on the early stages of the condensation process. We find evidence that the branes exist in the region; although, generically their apparent mass grows exponentially with time. However, there exist specific branes whose boundary states are unaltered by the tachyon.

[ { "created": "Tue, 31 Oct 2006 23:14:45 GMT", "version": "v1" }, { "created": "Thu, 8 Mar 2007 22:17:06 GMT", "version": "v2" } ]

2010-10-27

[ [ "Green", "Daniel", "" ] ]

Recent work on closed string tachyon condensation suggests the existence of a `nothing state' where closed strings and space itself vanish. We consider the evolution of D-branes in such backgrounds, focusing on the early stages of the condensation process. We find evidence that the branes exist in the region; although, generically their apparent mass grows exponentially with time. However, there exist specific branes whose boundary states are unaltered by the tachyon.

11.651952

10.454702

12.454062

10.279452

12.005135

10.853461

11.325489

10.732686

11.167749

12.213557

10.858156

10.679362

11.809074

10.558508

10.453953

10.564637

10.634408

10.681832

10.842113

12.085315

10.825665

1111.5376

Everton Murilo Carvalho Abreu

E. M. C. Abreu, M. V. Marcial, A. C. R. Mendes, W. Oliveira and G. Oliveira-Neto

Noncommutative cosmological models coupled to a perfect fluid and a cosmological constant

27 pages. 7 figures. JHEP style.arXiv admin note: substantial text overlap with arXiv:1104.4815

null

10.1007/JHEP05(2012)144

null

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

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

In this work we carry out a noncommutative analysis of several Friedmann-Robert-Walker models, coupled to different types of perfect fluids and in the presence of a cosmological constant. The classical field equations are modified, by the introduction of a shift operator, in order to introduce noncommutativity in these models. We notice that the noncommutative versions of these models show several relevant differences with respect to the correspondent commutative ones.

[ { "created": "Wed, 23 Nov 2011 00:34:56 GMT", "version": "v1" } ]

2015-06-03

[ [ "Abreu", "E. M. C.", "" ], [ "Marcial", "M. V.", "" ], [ "Mendes", "A. C. R.", "" ], [ "Oliveira", "W.", "" ], [ "Oliveira-Neto", "G.", "" ] ]

In this work we carry out a noncommutative analysis of several Friedmann-Robert-Walker models, coupled to different types of perfect fluids and in the presence of a cosmological constant. The classical field equations are modified, by the introduction of a shift operator, in order to introduce noncommutativity in these models. We notice that the noncommutative versions of these models show several relevant differences with respect to the correspondent commutative ones.

7.357112

7.2047

6.426822

6.135705

6.421055

7.106288

6.574454

6.040909

6.749441

7.03271

6.508745

6.747217

6.396315

6.188784

6.540029

6.490541

6.60319

6.38271

6.450249

6.352467

6.610981

1704.02590

Adil Belhaj

Adil Belhaj, Karim Douhou, Salah Eddine Ennadifi

D-brane Standard Model-Like and Scalar Dark Matter in Type IIA Superstring Theory

13 pages, latex, 4 figures. To appear in JETP (2017)

null

10.1134/S1063776117090011

null

hep-th

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

In light of the present LHC Run II at $\sqrt{s}=13$ $TeV$, string y standard-like model is studied. Concretely, a singlet $S $ scalar-extended SM given in terms four stacks of intersecting D6-branes in a type IIA superstring compactification producing a large gauge symmetry is examined. The involved scales are dealt with. According to the dark matter relic density, the mass of the scalar dark matter beyond the SM $m_{S}\lesssim 10^{3}GeV$ and the corresponding Higgs portal couplings $\lambda _{SH}\lesssim 10^{-8}$ are approached.

[ { "created": "Sun, 9 Apr 2017 11:47:43 GMT", "version": "v1" } ]

2017-12-06

[ [ "Belhaj", "Adil", "" ], [ "Douhou", "Karim", "" ], [ "Ennadifi", "Salah Eddine", "" ] ]

In light of the present LHC Run II at $\sqrt{s}=13$ $TeV$, string y standard-like model is studied. Concretely, a singlet $S $ scalar-extended SM given in terms four stacks of intersecting D6-branes in a type IIA superstring compactification producing a large gauge symmetry is examined. The involved scales are dealt with. According to the dark matter relic density, the mass of the scalar dark matter beyond the SM $m_{S}\lesssim 10^{3}GeV$ and the corresponding Higgs portal couplings $\lambda _{SH}\lesssim 10^{-8}$ are approached.

17.312429

17.668329

14.50511

14.368576

14.93552

16.598253

14.005776

15.985836

15.003746

16.248793

14.105273

15.575009

14.361689

14.58152

14.88975

15.241059

15.168753

15.5794

14.986613

14.965964

15.119342

0709.3573

Hyeong-Chan Kim

Hyeong-Chan Kim, Jae-Weon Lee, and Jungjai Lee

Black hole as an Information Eraser

12 pages, 4 figures, minor changes

Mod.Phys.Lett.A25:1581-1594,2010

10.1142/S0217732310033347

null

hep-th gr-qc

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

We discuss the identity of black hole entropy and show that the first law of black hole thermodynamics, in the case of a Schwarzschild black hole, can be derived from Landauer's principle by assuming that the black hole is one of the most efficient information erasers in systems of a given temperature. The term "most efficient" implies that minimal energy is required to erase a given amount of information. We calculate the discrete mass spectra and the entropy of a Schwarzschild black hole assuming that the black hole processes information in unit of bits. The black hole entropy acquires a sub-leading contribution proportional to the logarithm of its mass-squared in addition to the usual mass-squared term without an artificial cutoff. We also argue that the minimum of the black hole mass is $\sqrt{\log 2/(8\pi)}M_P$.

[ { "created": "Sat, 22 Sep 2007 10:21:32 GMT", "version": "v1" }, { "created": "Mon, 29 Oct 2007 13:23:38 GMT", "version": "v2" }, { "created": "Tue, 4 Dec 2007 14:58:18 GMT", "version": "v3" }, { "created": "Fri, 17 Oct 2008 11:09:00 GMT", "version": "v4" } ]

2014-11-18

[ [ "Kim", "Hyeong-Chan", "" ], [ "Lee", "Jae-Weon", "" ], [ "Lee", "Jungjai", "" ] ]

We discuss the identity of black hole entropy and show that the first law of black hole thermodynamics, in the case of a Schwarzschild black hole, can be derived from Landauer's principle by assuming that the black hole is one of the most efficient information erasers in systems of a given temperature. The term "most efficient" implies that minimal energy is required to erase a given amount of information. We calculate the discrete mass spectra and the entropy of a Schwarzschild black hole assuming that the black hole processes information in unit of bits. The black hole entropy acquires a sub-leading contribution proportional to the logarithm of its mass-squared in addition to the usual mass-squared term without an artificial cutoff. We also argue that the minimum of the black hole mass is $\sqrt{\log 2/(8\pi)}M_P$.

8.599947

9.117425

7.792418

7.527381

8.978643

8.317175

8.123143

8.735229

8.187837

9.074519

8.477193

8.595892

8.144053

8.211205

8.394384

8.501214

8.395322

8.339972

8.283058

8.361939

8.433696

1201.5754

Ram Brustein

Ram Brustein, A. J. M. Medved

Gravitational entropy and thermodynamics away from the horizon

13 pages, Substantial changes to presentation. Conclusions unchanged, version to be published in PLB

null

10.1016/j.physletb.2012.07.051

LMU-ASC 05/12

hep-th gr-qc

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

We define, by an integral of geometric quantities over a spherical shell of arbitrary radius, an invariant gravitational entropy. This definition relies on defining a gravitational energy and pressure, and it reduces at the horizon of both black branes and black holes to Wald's Noether charge entropy. We support the thermodynamic interpretation of the proposed entropy by showing that, for some cases, the field theory duals of the entropy, energy and pressure are the same as the corresponding quantities in the field theory. In this context, the Einstein equations are equivalent to the field theory thermodynamic relation TdS=dE+PdV supplemented by an equation of state.

[ { "created": "Fri, 27 Jan 2012 12:02:40 GMT", "version": "v1" }, { "created": "Mon, 23 Jul 2012 13:43:40 GMT", "version": "v2" } ]

2015-06-03

[ [ "Brustein", "Ram", "" ], [ "Medved", "A. J. M.", "" ] ]

We define, by an integral of geometric quantities over a spherical shell of arbitrary radius, an invariant gravitational entropy. This definition relies on defining a gravitational energy and pressure, and it reduces at the horizon of both black branes and black holes to Wald's Noether charge entropy. We support the thermodynamic interpretation of the proposed entropy by showing that, for some cases, the field theory duals of the entropy, energy and pressure are the same as the corresponding quantities in the field theory. In this context, the Einstein equations are equivalent to the field theory thermodynamic relation TdS=dE+PdV supplemented by an equation of state.

7.732955

8.664119

8.125322

7.208929

8.458637

7.683908

8.626826

8.352959

8.034885

8.885812

8.389331

8.001858

7.880827

7.532276

7.719846

7.673707

7.735772

7.961965

7.454937

8.295705

7.868864

hep-th/9807156

Chanyong Park

Chanyong Park and Sang-Jin Sin

Notes on D-instanton correction to $AdS_5 \times S^5$ geometry

12 pages, Major revision; Title changed, 2 figures

Phys.Lett. B444 (1998) 156-162

10.1016/S0370-2693(98)01369-0

null

hep-th

null

We show that the D-instanton in the $AdS_5 \times S^5$ background is a wormhole connecting the background $AdS_5 \times S^5$ to the flat space $\bf R^{10}$ located at the position of the D-instanton. By a $SL(2,{\bf R})$ rotation of type IIB theory, we can make the {\it global} geometry flat in string frame. We also find that, due to the tight relation between the dilaton and the axion, there is no $SL(2,{\bf R})$ element that takes strong string coupling to weak one without making the axion ill defined. We also discuss the case of $AdS_3$ as well as the instanton gases. A subtlety on the D-instanton at the boundary or at the horizon is discussed.

[ { "created": "Tue, 21 Jul 1998 06:48:18 GMT", "version": "v1" }, { "created": "Tue, 1 Sep 1998 03:25:54 GMT", "version": "v2" } ]

2009-10-31

[ [ "Park", "Chanyong", "" ], [ "Sin", "Sang-Jin", "" ] ]

We show that the D-instanton in the $AdS_5 \times S^5$ background is a wormhole connecting the background $AdS_5 \times S^5$ to the flat space $\bf R^{10}$ located at the position of the D-instanton. By a $SL(2,{\bf R})$ rotation of type IIB theory, we can make the {\it global} geometry flat in string frame. We also find that, due to the tight relation between the dilaton and the axion, there is no $SL(2,{\bf R})$ element that takes strong string coupling to weak one without making the axion ill defined. We also discuss the case of $AdS_3$ as well as the instanton gases. A subtlety on the D-instanton at the boundary or at the horizon is discussed.

7.385175

7.161003

7.634556

6.92583

7.231068

7.179999

7.338141

7.048597

7.152683

7.91771

7.090733

6.999121

7.202037

6.903079

7.057313

7.127753

7.084328

7.102267

6.941567

7.323409

6.880523

hep-th/0308049

Soo-Jong Rey

David Berenstein, Soo-Jong Rey

Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories

10 pages, no figure, v2: minor correction

Phys.Rev. D68 (2003) 121701

10.1103/PhysRevD.68.121701

SNUST 030801

hep-th

null

We provide Wilsonian proof for renormalizability of four-dimensional quantum field theories with ${\cal N}=1/2$ supersymmetry. We argue that the non-hermiticity inherent to these theories permits assigning noncanonical scaling dimension both for the Grassman coordinates and superfields. This reassignment can be done in such a way that the non(anti)commutativity parameter is dimensionless, and then the rest of the proof ammounts to power counting. The renormalizability is also stable against adding standard four-dimensional soft-breaking terms to the theory. However, with the new scaling dimension assignments, some of these terms are not just relevant deformations of the theory but become marginal.

[ { "created": "Thu, 7 Aug 2003 17:58:40 GMT", "version": "v1" }, { "created": "Thu, 14 Aug 2003 18:40:41 GMT", "version": "v2" } ]

2009-11-10

[ [ "Berenstein", "David", "" ], [ "Rey", "Soo-Jong", "" ] ]

We provide Wilsonian proof for renormalizability of four-dimensional quantum field theories with ${\cal N}=1/2$ supersymmetry. We argue that the non-hermiticity inherent to these theories permits assigning noncanonical scaling dimension both for the Grassman coordinates and superfields. This reassignment can be done in such a way that the non(anti)commutativity parameter is dimensionless, and then the rest of the proof ammounts to power counting. The renormalizability is also stable against adding standard four-dimensional soft-breaking terms to the theory. However, with the new scaling dimension assignments, some of these terms are not just relevant deformations of the theory but become marginal.

12.52431

11.758277

12.993703

11.068357

12.450321

13.380633

11.578793

11.524053

12.413565

14.715385

10.707792

11.533978

12.613939

10.844109

11.022452

11.495769

11.116136

10.967536

11.150828

12.481415

11.087821

1711.04087

Jun-Bao Wu

Notes on Integrable Boundary Interactions of Open $SU(4)$ Alternating Spin Chains

v4,12 pages, no figures, published version. To appaer in SCIENCE CHINA Physics, Mechanics & Astronomy

Sci. China Phys. Mech. Astron. (2018) 61: 070011

10.1007/s11433-018-9190-y

CJQS-2018-004

hep-th nlin.SI

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

In arXiv:1704.05807, it was shown that the planar flavored ABJM theory is integrable in the scalar sector at two-loop order using coordinate Bethe ansatz. A salient feature of this case is that the boundary reflection matrices are anti-diagonal with respect to the chosen basis. In this paper, we relax the coefficients of the boundary terms to be general constants in order to search for integrable systems among this class. We found that at each end of the spin chain, the only integrable boundary interaction, besides the one in arXiv:1704.05807, is the one with vanishing boundary interactions leading to diagonal reflection matrices. We also construct non-supersymmetric plannar flavored ABJM theory which leads to trivial boundary interaction at both ends of the open chain from two-loop anomalous dimension matrix in the scalar sector.

[ { "created": "Sat, 11 Nov 2017 06:27:21 GMT", "version": "v1" }, { "created": "Tue, 21 Nov 2017 13:10:12 GMT", "version": "v2" }, { "created": "Thu, 11 Jan 2018 00:53:27 GMT", "version": "v3" }, { "created": "Thu, 5 Apr 2018 02:26:56 GMT", "version": "v4" } ]

2020-04-23

[ [ "Wu", "Jun-Bao", "" ] ]

In arXiv:1704.05807, it was shown that the planar flavored ABJM theory is integrable in the scalar sector at two-loop order using coordinate Bethe ansatz. A salient feature of this case is that the boundary reflection matrices are anti-diagonal with respect to the chosen basis. In this paper, we relax the coefficients of the boundary terms to be general constants in order to search for integrable systems among this class. We found that at each end of the spin chain, the only integrable boundary interaction, besides the one in arXiv:1704.05807, is the one with vanishing boundary interactions leading to diagonal reflection matrices. We also construct non-supersymmetric plannar flavored ABJM theory which leads to trivial boundary interaction at both ends of the open chain from two-loop anomalous dimension matrix in the scalar sector.

10.515652

10.192255

11.673237

9.458656

9.845453

10.054915

9.959356

9.586263

9.19894

11.082945

9.319299

9.697947

10.522764

9.200514

9.779341

9.661355

9.663914

9.786333

9.563004

10.448259

9.819305

2308.00040

Matthew Blacker

Matthew J. Blacker and Sirui Ning

Wheeler DeWitt States of a Charged AdS$_4$ Black Hole

28 pages with references, 1 figure

null

hep-th gr-qc

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

We solve the Wheeler DeWitt equation for the planar Reissner-Nordstr\"om-AdS black hole in a minisuperspace approximation. We construct semiclassical Wheeler DeWitt states from Gaussian wavepackets that are peaked on classical black hole interior solutions. By using the metric component $g_{xx}$ as a clock, these states are evolved through both the exterior and interior horizons. Close to the singularity, we show that quantum fluctuations in the wavepacket become important, and therefore the classicality of the minisuperspace approximation breaks down. Towards the AdS boundary, the Wheeler DeWitt states are used to recover the Lorentzian partition function of the dual theory living on this boundary. This partition function is specified by an energy and a charge. Finally, we show that the Wheeler DeWitt states know about the black hole thermodynamics, recovering the grand canonical thermodynamic potential after an appropriate averaging at the black hole horizon.

[ { "created": "Mon, 31 Jul 2023 18:00:27 GMT", "version": "v1" }, { "created": "Wed, 2 Aug 2023 12:02:46 GMT", "version": "v2" } ]

2023-08-03

[ [ "Blacker", "Matthew J.", "" ], [ "Ning", "Sirui", "" ] ]

We solve the Wheeler DeWitt equation for the planar Reissner-Nordstr\"om-AdS black hole in a minisuperspace approximation. We construct semiclassical Wheeler DeWitt states from Gaussian wavepackets that are peaked on classical black hole interior solutions. By using the metric component $g_{xx}$ as a clock, these states are evolved through both the exterior and interior horizons. Close to the singularity, we show that quantum fluctuations in the wavepacket become important, and therefore the classicality of the minisuperspace approximation breaks down. Towards the AdS boundary, the Wheeler DeWitt states are used to recover the Lorentzian partition function of the dual theory living on this boundary. This partition function is specified by an energy and a charge. Finally, we show that the Wheeler DeWitt states know about the black hole thermodynamics, recovering the grand canonical thermodynamic potential after an appropriate averaging at the black hole horizon.

8.626697

8.018547

7.782924

7.671311

7.929759

8.024679

9.001381

7.843766

7.868495

8.343956

7.818965

8.13936

8.350244

8.004317

8.227359

8.160389

8.146018

7.959845

8.374038

8.673765

7.971735

2104.06587

Harry Goodhew

Harry Goodhew, Sadra Jazayeri, Mang Hei Gordon Lee and Enrico Pajer

Cutting Cosmological Correlators

36 + 18 pages, 4 figures

null

10.1088/1475-7516/2021/08/003

null

hep-th astro-ph.CO gr-qc

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

The initial conditions of our universe appear to us in the form of a classical probability distribution that we probe with cosmological observations. In the current leading paradigm, this probability distribution arises from a quantum mechanical wavefunction of the universe. Here we ask what the imprint of quantum mechanics is on the late time observables. We show that the requirement of unitary time evolution, colloquially the conservation of probabilities, fixes the analytic structure of the wavefunction and of all the cosmological correlators it encodes. In particular, we derive in perturbation theory an infinite set of single-cut rules that generalize the Cosmological Optical Theorem and relate a certain discontinuity of any tree-level $n$-point function to that of lower-point functions. Our rules are closely related to, but distinct from the recently derived Cosmological Cutting Rules. They follow from the choice of the Bunch-Davies vacuum and a simple property of the (bulk-to-bulk) propagator and are astoundingly general: we prove that they are valid for fields with a linear dispersion relation and any mass, any integer spin and arbitrary local interactions with any number of derivatives. They also apply to general FLRW spacetimes admitting a Bunch-Davies vacuum, including de Sitter, slow-roll inflation, power-law cosmologies and even resonant oscillations in axion monodromy. We verify the single-cut rules in a number of non-trivial examples, including four massless scalars exchanging a massive scalar, as relevant for cosmological collider physics, four gravitons exchanging a graviton, and a scalar five-point function.

[ { "created": "Wed, 14 Apr 2021 02:14:44 GMT", "version": "v1" }, { "created": "Tue, 27 Apr 2021 09:06:51 GMT", "version": "v2" }, { "created": "Thu, 24 Jun 2021 15:01:30 GMT", "version": "v3" } ]

2021-08-11

[ [ "Goodhew", "Harry", "" ], [ "Jazayeri", "Sadra", "" ], [ "Lee", "Mang Hei Gordon", "" ], [ "Pajer", "Enrico", "" ] ]

The initial conditions of our universe appear to us in the form of a classical probability distribution that we probe with cosmological observations. In the current leading paradigm, this probability distribution arises from a quantum mechanical wavefunction of the universe. Here we ask what the imprint of quantum mechanics is on the late time observables. We show that the requirement of unitary time evolution, colloquially the conservation of probabilities, fixes the analytic structure of the wavefunction and of all the cosmological correlators it encodes. In particular, we derive in perturbation theory an infinite set of single-cut rules that generalize the Cosmological Optical Theorem and relate a certain discontinuity of any tree-level $n$-point function to that of lower-point functions. Our rules are closely related to, but distinct from the recently derived Cosmological Cutting Rules. They follow from the choice of the Bunch-Davies vacuum and a simple property of the (bulk-to-bulk) propagator and are astoundingly general: we prove that they are valid for fields with a linear dispersion relation and any mass, any integer spin and arbitrary local interactions with any number of derivatives. They also apply to general FLRW spacetimes admitting a Bunch-Davies vacuum, including de Sitter, slow-roll inflation, power-law cosmologies and even resonant oscillations in axion monodromy. We verify the single-cut rules in a number of non-trivial examples, including four massless scalars exchanging a massive scalar, as relevant for cosmological collider physics, four gravitons exchanging a graviton, and a scalar five-point function.

8.653892

7.981953

9.085696

7.755652

8.419923

8.063833

8.217318

7.994907

8.033045

9.826214

7.874245

8.20826

8.552434

8.367857

8.246156

8.187263

8.171684

8.397479

8.506591

8.401486

8.468976

2111.00018

Linus Wulff

Completing $R^4$ using $O(d,d)$

23 pages; v2: Clarifications and details of comparison to literature added; v3: Added argument that condition imposed is also sufficient for O(d,d). Published version

null

10.1007/JHEP08(2022)187

null

hep-th

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

The tree-level string effective action is known to contain quartic Riemann terms with coefficient $\zeta(3)\alpha'^3$. In the case of the type II string this is the first $\alpha'$ correction. We use the requirement that the action reduced on a $d$-torus should have an $O(d,d)$ symmetry to find the B-field couplings up to fifth order in fields. The answer turns out to have a surprisingly intricate structure.

[ { "created": "Fri, 29 Oct 2021 18:00:01 GMT", "version": "v1" }, { "created": "Wed, 25 May 2022 07:19:33 GMT", "version": "v2" }, { "created": "Wed, 17 Aug 2022 06:29:47 GMT", "version": "v3" } ]

2022-09-07

[ [ "Wulff", "Linus", "" ] ]

The tree-level string effective action is known to contain quartic Riemann terms with coefficient $\zeta(3)\alpha'^3$. In the case of the type II string this is the first $\alpha'$ correction. We use the requirement that the action reduced on a $d$-torus should have an $O(d,d)$ symmetry to find the B-field couplings up to fifth order in fields. The answer turns out to have a surprisingly intricate structure.

10.774765

8.12908

11.302515

8.162484

8.811531

8.188022

8.594056

8.799113

8.181928

12.244827

8.493036

9.475248

9.648393

8.799551

9.337482

8.850491

9.410213

8.945147

9.170777

10.246531

9.062806

1205.5550

Yasunori Nomura

The Static Quantum Multiverse

27 pages, 2 figures; a typo in the abstract corrected

null

10.1103/PhysRevD.86.083505

UCB-PTH-12/07

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

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

We consider the multiverse in the intrinsically quantum mechanical framework recently proposed in Refs. [1,2]. By requiring that the principles of quantum mechanics are universally valid and that physical predictions do not depend on the reference frame one chooses to describe the multiverse, we find that the multiverse state must be static---in particular, the multiverse does not have a beginning or end. We argue that, despite its naive appearance, this does not contradict observation, including the fact that we observe that time flows in a definite direction. Selecting the multiverse state is ultimately boiled down to finding normalizable solutions to certain zero-eigenvalue equations, analogous to the case of the hydrogen atom. Unambiguous physical predictions would then follow, according to the rules of quantum mechanics.

[ { "created": "Thu, 24 May 2012 19:59:41 GMT", "version": "v1" }, { "created": "Sat, 26 May 2012 09:10:18 GMT", "version": "v2" } ]

2013-05-30

[ [ "Nomura", "Yasunori", "" ] ]

We consider the multiverse in the intrinsically quantum mechanical framework recently proposed in Refs. [1,2]. By requiring that the principles of quantum mechanics are universally valid and that physical predictions do not depend on the reference frame one chooses to describe the multiverse, we find that the multiverse state must be static---in particular, the multiverse does not have a beginning or end. We argue that, despite its naive appearance, this does not contradict observation, including the fact that we observe that time flows in a definite direction. Selecting the multiverse state is ultimately boiled down to finding normalizable solutions to certain zero-eigenvalue equations, analogous to the case of the hydrogen atom. Unambiguous physical predictions would then follow, according to the rules of quantum mechanics.

10.480213

10.234481

9.863544

9.390205

10.235235

9.732012

10.650487

9.430137

10.234271

9.998326

9.762053

9.614272

9.976631

9.7153

9.533817

9.528677

9.653841

9.5173

9.501774

10.058485

9.545982

2202.08285

Ke Ren

Qingjun Jin, Ke Ren, Gang Yang, Rui Yu

Gluonic evanescent operators: classification and one-loop renormalization

v2: 70 pages, 3 figures, 9 tables; reference added, minor corrections

null

10.1007/JHEP08(2022)141

null

hep-th hep-ph

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

Evanescent operators are a special class of operators that vanish classically in four-dimensional spacetime, while in general dimensions they are non-zero and are expected to have non-trivial physical effects at the quantum loop level in dimensional regularization. In this paper we initiate the study of evanescent operators in pure Yang-Mills theory. We develop a systematic method for classifying and constructing the $d$-dimensional Lorentz invariant evanescent operators, which start to appear at mass dimension ten. We also compute one-loop form factors for the dimension-ten operators via the $d$-dimensional unitarity method and obtain their one-loop anomalous dimensions. These operators are necessary ingredients in the study of high dimensional operators in effective field theories involving a Yang-Mills sector.

[ { "created": "Wed, 16 Feb 2022 19:00:04 GMT", "version": "v1" }, { "created": "Sun, 15 May 2022 01:53:40 GMT", "version": "v2" } ]

2022-09-07

[ [ "Jin", "Qingjun", "" ], [ "Ren", "Ke", "" ], [ "Yang", "Gang", "" ], [ "Yu", "Rui", "" ] ]

Evanescent operators are a special class of operators that vanish classically in four-dimensional spacetime, while in general dimensions they are non-zero and are expected to have non-trivial physical effects at the quantum loop level in dimensional regularization. In this paper we initiate the study of evanescent operators in pure Yang-Mills theory. We develop a systematic method for classifying and constructing the $d$-dimensional Lorentz invariant evanescent operators, which start to appear at mass dimension ten. We also compute one-loop form factors for the dimension-ten operators via the $d$-dimensional unitarity method and obtain their one-loop anomalous dimensions. These operators are necessary ingredients in the study of high dimensional operators in effective field theories involving a Yang-Mills sector.

8.291268

6.218729

7.297501

6.303009

6.432459

6.34686

6.248809

6.174325

6.19557

7.671375

6.464079

6.561852

6.959279

6.74719

6.86726

6.697276

6.326518

6.818522

6.721692

7.088829

7.261121

hep-th/0612207

Ling Yan Hung Miss

Ling-Yan Hung

Comments on I1-branes

9 pages. Added comments about the near horizon limit taken

JHEP 0705:076,2007

10.1088/1126-6708/2007/05/076

DAMTP-2006-121

hep-th

null

We explore the supergravity solution of D5-branes intersecting as an I1-brane. In a suitable near-horizon limit the geometry is in qualitative agreement with that found in the microscopic open-string analysis as well as the NS5-brane analysis of Itzhaki, Kutasov and Seiberg. In particular, the ISO(1,1) Lorentz symmetry of the intersection domain is enhanced to ISO(1,2). The discussion is generalised to the T-dual configuration of a D4-brane intersecting a D6-brane. In this case the ISO(1,1) symmetry is not enhanced. This is true both in the supergravity approximation to the weakly coupled string theory and to the M-theory limit.

[ { "created": "Tue, 19 Dec 2006 15:26:04 GMT", "version": "v1" }, { "created": "Sun, 31 Dec 2006 15:29:09 GMT", "version": "v2" }, { "created": "Wed, 21 Feb 2007 12:21:46 GMT", "version": "v3" }, { "created": "Mon, 21 May 2007 08:28:50 GMT", "version": "v4" } ]

2010-10-27

[ [ "Hung", "Ling-Yan", "" ] ]

We explore the supergravity solution of D5-branes intersecting as an I1-brane. In a suitable near-horizon limit the geometry is in qualitative agreement with that found in the microscopic open-string analysis as well as the NS5-brane analysis of Itzhaki, Kutasov and Seiberg. In particular, the ISO(1,1) Lorentz symmetry of the intersection domain is enhanced to ISO(1,2). The discussion is generalised to the T-dual configuration of a D4-brane intersecting a D6-brane. In this case the ISO(1,1) symmetry is not enhanced. This is true both in the supergravity approximation to the weakly coupled string theory and to the M-theory limit.

7.339488

7.405318

8.655084

7.141025

6.802503

7.041092

7.338767

7.314793

7.191198

9.088538

7.382495

6.980525

8.17104

7.154742

7.341887

7.279445

7.160752

7.192329

6.874112

7.581915

6.895865

1904.01224

Efra\'in Rojas Marcial

Efrain Rojas

Holographic relationships in Lovelock type brane gravity

16 pages. Discussions and references added. Version that matches the one published

Class. Quantum Grav. 36 (2019) 185006

10.1088/1361-6382/ab3520

null

hep-th gr-qc

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

We show that the Lovelock type brane gravity is naturally holographic by providing a correspondence between bulk and surface terms that appear in the Lovelock-type brane gravity action functional. We prove the existence of relationships between the $\mathcal{L}_{\mbox{\tiny bulk}}$ and $\mathcal{L}_{\mbox{\tiny surf}}$ allowing $\mathcal{L}_{\mbox{\tiny surf}}$ to be determined completely by $\mathcal{L}_{\mbox{\tiny bulk}}$. In the same spirit, we provide relationships among the various conserved tensors that this theory possesses. We further comment briefly on the correspondence between geometric degrees of freedom in both bulk and surface space.

[ { "created": "Tue, 2 Apr 2019 05:42:13 GMT", "version": "v1" }, { "created": "Thu, 22 Aug 2019 23:21:47 GMT", "version": "v2" } ]

2019-09-04

[ [ "Rojas", "Efrain", "" ] ]

We show that the Lovelock type brane gravity is naturally holographic by providing a correspondence between bulk and surface terms that appear in the Lovelock-type brane gravity action functional. We prove the existence of relationships between the $\mathcal{L}_{\mbox{\tiny bulk}}$ and $\mathcal{L}_{\mbox{\tiny surf}}$ allowing $\mathcal{L}_{\mbox{\tiny surf}}$ to be determined completely by $\mathcal{L}_{\mbox{\tiny bulk}}$. In the same spirit, we provide relationships among the various conserved tensors that this theory possesses. We further comment briefly on the correspondence between geometric degrees of freedom in both bulk and surface space.

7.07125

6.840523

7.193584

6.699825

7.311715

7.216826

7.404194

6.604339

6.90496

7.231413

7.028603

6.580613

6.818163

6.709983

6.731744

6.602304

6.696805

6.725492

6.84037

6.76328

6.579579

1802.08011

Anton Galajinsky

Ruijsenaars-Schneider three-body models with N=2 supersymmetry

v3: 10 pages, imaginary unit missed in Eq. (22) is reinstated

null

10.1007/JHEP04(2018)079

null

hep-th math-ph math.MP

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

The Ruijsenaars-Schneider models are conventionally regarded as relativistic generalizations of the Calogero integrable systems. Surprisingly enough, their supersymmetric generalizations escaped attention. In this work, N=2 supersymmetric extensions of the rational and hyperbolic Ruijsenaars-Schneider three-body models are constructed within the framework of the Hamiltonian formalism. It is also known that the rational model can be described by the geodesic equations associated with a metric connection. We demonstrate that the hyperbolic systems are linked to non-metric connections.

[ { "created": "Thu, 22 Feb 2018 12:33:49 GMT", "version": "v1" }, { "created": "Mon, 9 Apr 2018 06:56:23 GMT", "version": "v2" }, { "created": "Wed, 5 Jun 2019 00:32:12 GMT", "version": "v3" } ]

2019-06-06

[ [ "Galajinsky", "Anton", "" ] ]

The Ruijsenaars-Schneider models are conventionally regarded as relativistic generalizations of the Calogero integrable systems. Surprisingly enough, their supersymmetric generalizations escaped attention. In this work, N=2 supersymmetric extensions of the rational and hyperbolic Ruijsenaars-Schneider three-body models are constructed within the framework of the Hamiltonian formalism. It is also known that the rational model can be described by the geodesic equations associated with a metric connection. We demonstrate that the hyperbolic systems are linked to non-metric connections.

7.399814

7.150389

7.845425

6.794653

7.161603

6.827831

6.697956

6.395791

7.052666

8.245041

6.650786

6.681603

7.268581

6.811877

6.978579

6.962897

6.803439

6.86218

7.167162

7.039332

6.878316

1902.11103

Theodore Erler

Theodore Erler, Toru Masuda, Martin Schnabl

Rolling Near the Tachyon Vacuum

41 pages, 12 figures

null

10.1007/JHEP04(2020)104

null

hep-th

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

In a linear dilaton background, it has been argued that an unstable D-brane can decay to the tachyon vacuum without leaving behind a remnant of tachyon matter. Here we address the question of how the D-brane can decay to the tachyon vacuum when the tachyon vacuum does not support physical fluctuations. Using the formalism of open string field theory, we find that the tachyon vacuum {\it can} support fluctuations provided they are "hidden" as nonperturbative effects behind a pure gauge asymptotic series.

[ { "created": "Thu, 28 Feb 2019 14:36:48 GMT", "version": "v1" } ]

2020-05-20

[ [ "Erler", "Theodore", "" ], [ "Masuda", "Toru", "" ], [ "Schnabl", "Martin", "" ] ]

In a linear dilaton background, it has been argued that an unstable D-brane can decay to the tachyon vacuum without leaving behind a remnant of tachyon matter. Here we address the question of how the D-brane can decay to the tachyon vacuum when the tachyon vacuum does not support physical fluctuations. Using the formalism of open string field theory, we find that the tachyon vacuum {\it can} support fluctuations provided they are "hidden" as nonperturbative effects behind a pure gauge asymptotic series.

8.261074

7.06035

8.304616

7.147809

7.842829

7.687223

7.115696

7.232372

7.47135

8.739142

7.454095

7.394356

7.825749

7.245241

7.193639

7.30979

7.621731

7.541304

7.319488

7.639363

7.490546

hep-th/9812039

Marco Serone

J.F. Morales, J.C. Plefka, C.A. Scrucca, M. Serone and A.K. Waldron

Spin dependent D-brane interactions and scattering amplitudes in matrix theory

8 pages, no figures, talk presented at the conference "Quantum aspects of gauge theories, supergravity and unification", Corfu, Greece, to appear in the proceedings

Lect.Notes Phys. 525 (1999) 456-465

10.1007/BFb0104266

null

hep-th

null

Spin interactions beteween two moving Dp-branes are analyzed using the Green-Schwarz formalism of boundary states. This approach turns out to be extremely efficient to compute all the spin effects related by supersymmetry to the leading v^4/r^7-p term. All these terms are shown to be scale invariant, supporting a matrix model description of supergravity interactions. By employing the LSZ reduction formula for matrix theory and the mentioned supersymmetric effective potential for D0-branes, we compute the t-pole of graviton-graviton and three form-three form scattering in matrix theory. The results are found to be in complete agreement with tree level supergravity in the corresponding kinematical regime and provide, moreover, an explicit map between these degrees of freedom in both theories.

[ { "created": "Fri, 4 Dec 1998 11:49:41 GMT", "version": "v1" } ]

2009-10-31

[ [ "Morales", "J. F.", "" ], [ "Plefka", "J. C.", "" ], [ "Scrucca", "C. A.", "" ], [ "Serone", "M.", "" ], [ "Waldron", "A. K.", "" ] ]

Spin interactions beteween two moving Dp-branes are analyzed using the Green-Schwarz formalism of boundary states. This approach turns out to be extremely efficient to compute all the spin effects related by supersymmetry to the leading v^4/r^7-p term. All these terms are shown to be scale invariant, supporting a matrix model description of supergravity interactions. By employing the LSZ reduction formula for matrix theory and the mentioned supersymmetric effective potential for D0-branes, we compute the t-pole of graviton-graviton and three form-three form scattering in matrix theory. The results are found to be in complete agreement with tree level supergravity in the corresponding kinematical regime and provide, moreover, an explicit map between these degrees of freedom in both theories.

15.445549

13.504421

17.908178

12.485775

14.17316

13.623938

14.217378

11.970579

12.71536

18.415035

12.935104

14.261039

15.181958

14.190485

14.619164

14.225481

13.885936

13.845226

14.204726

15.674354

14.290539

1911.09190

Sarthak Parikh

A multipoint conformal block chain in $d$ dimensions

35 pages + appendices + references, several figures. Mathematica notebook containing the main result included as an ancillary file

null

10.1007/JHEP05(2020)120

null

hep-th

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

Conformal blocks play a central role in CFTs as the basic, theory-independent building blocks. However, only limited results are available concerning multipoint blocks associated with the global conformal group. In this paper, we systematically work out the $d$-dimensional $n$-point global conformal blocks (for arbitrary $d$ and $n$) for external and exchanged scalar operators in the so-called comb channel. We use kinematic aspects of holography and previously worked out higher-point AdS propagator identities to first obtain the geodesic diagram representation for the $(n+2)$-point block. Subsequently, upon taking a particular double-OPE limit, we obtain an explicit power series expansion for the $n$-point block expressed in terms of powers of conformal cross-ratios. Interestingly, the expansion coefficient is written entirely in terms of Pochhammer symbols and $(n-4)$ factors of the generalized hypergeometric function ${}_3F_2$, for which we provide a holographic explanation. This generalizes the results previously obtained in the literature for $n=4, 5$. We verify the results explicitly in embedding space using conformal Casimir equations.

[ { "created": "Wed, 20 Nov 2019 22:01:17 GMT", "version": "v1" } ]

2020-06-24

[ [ "Parikh", "Sarthak", "" ] ]

Conformal blocks play a central role in CFTs as the basic, theory-independent building blocks. However, only limited results are available concerning multipoint blocks associated with the global conformal group. In this paper, we systematically work out the $d$-dimensional $n$-point global conformal blocks (for arbitrary $d$ and $n$) for external and exchanged scalar operators in the so-called comb channel. We use kinematic aspects of holography and previously worked out higher-point AdS propagator identities to first obtain the geodesic diagram representation for the $(n+2)$-point block. Subsequently, upon taking a particular double-OPE limit, we obtain an explicit power series expansion for the $n$-point block expressed in terms of powers of conformal cross-ratios. Interestingly, the expansion coefficient is written entirely in terms of Pochhammer symbols and $(n-4)$ factors of the generalized hypergeometric function ${}_3F_2$, for which we provide a holographic explanation. This generalizes the results previously obtained in the literature for $n=4, 5$. We verify the results explicitly in embedding space using conformal Casimir equations.

8.446331

7.463869

8.867364

7.534113

7.068714

7.647903

7.22855

7.355985

7.274573

9.161772

6.957579

7.455802

7.64709

7.352489

7.624392

7.359951

7.529306

7.434362

7.532244

7.529419

7.38757

0704.0445

Jacob Bourjaily

Jacob L. Bourjaily

Geometrically Engineering the Standard Model: Locally Unfolding Three Families out of E8

10 pages, 3 figures. Corrected typos and general editing blemishes

Phys.Rev.D76:046004,2007

10.1103/PhysRevD.76.046004

null

hep-th

null

This paper extends and builds upon the results of an earlier paper, in which we described how to use the tools of geometrical engineering to deform geometrically-engineered grand unified models into ones with lower symmetry. This top-down unfolding has the advantage that the relative positions of singularities giving rise to the many `low energy' matter fields are related by only a few parameters which deform the geometry of the unified model. And because the relative positions of singularities are necessary to compute the superpotential, for example, this is a framework in which the arbitrariness of geometrically engineered models can be greatly reduced. In our earlier paper, this picture was made concrete for the case of deforming the representations of an SU(5) model into their Standard Model content. In this paper we continue that discussion to show how a geometrically engineered 16 of SO(10) can be unfolded into the Standard Model, and how the three families of the Standard Model uniquely emerge from the unfolding of a single, isolated E8 singularity.

[ { "created": "Tue, 3 Apr 2007 17:28:03 GMT", "version": "v1" }, { "created": "Thu, 2 Aug 2007 20:27:24 GMT", "version": "v2" } ]

2008-11-26

[ [ "Bourjaily", "Jacob L.", "" ] ]

This paper extends and builds upon the results of an earlier paper, in which we described how to use the tools of geometrical engineering to deform geometrically-engineered grand unified models into ones with lower symmetry. This top-down unfolding has the advantage that the relative positions of singularities giving rise to the many `low energy' matter fields are related by only a few parameters which deform the geometry of the unified model. And because the relative positions of singularities are necessary to compute the superpotential, for example, this is a framework in which the arbitrariness of geometrically engineered models can be greatly reduced. In our earlier paper, this picture was made concrete for the case of deforming the representations of an SU(5) model into their Standard Model content. In this paper we continue that discussion to show how a geometrically engineered 16 of SO(10) can be unfolded into the Standard Model, and how the three families of the Standard Model uniquely emerge from the unfolding of a single, isolated E8 singularity.

11.878036

12.579233

12.368712

11.367371

13.18205

12.43207

12.019801

12.125739

11.782565

13.31801

11.629809

11.122085

11.635497

11.190056

11.457368

11.574691

11.3914

11.548069

11.466829

11.726664

11.273005

hep-th/0107180

Vatche Sahakian

The large M limit of Non-Commutative Open Strings at strong coupling

45 pages, 7 figures

Nucl.Phys.B621:62-100,2002

10.1016/S0550-3213(01)00581-8

CLNS 01/1747

hep-th

null

Two dimensional Non-Commutative Open String (NCOS) theory, well-defined perturbatively, may also be studied at strong coupling and for large D-string charge by making use of the Holographic duality. We analyze the zero mode dynamics of a closed string in the appropriate background geometry and map the results onto a sector of strongly coupled NCOS dynamics. We find an elaborate classical picture that shares qualitative similarities with the SL(2,R) WZW model. In the quantum problem, we compute propagators and part of the energy spectrum of the theory; the latter involves interesting variations in the density of states as a function of the level number, and energies scaling inversely with the coupling. Finally, the geometry exhibits a near horizon throat, associated with NCOS dynamics, yet it is found that the whole space is available for Holography. This provides a setting to extend the Maldacena duality beyond the near horizon limit.

[ { "created": "Sat, 21 Jul 2001 14:39:20 GMT", "version": "v1" } ]

2014-11-18

[ [ "Sahakian", "Vatche", "" ] ]

Two dimensional Non-Commutative Open String (NCOS) theory, well-defined perturbatively, may also be studied at strong coupling and for large D-string charge by making use of the Holographic duality. We analyze the zero mode dynamics of a closed string in the appropriate background geometry and map the results onto a sector of strongly coupled NCOS dynamics. We find an elaborate classical picture that shares qualitative similarities with the SL(2,R) WZW model. In the quantum problem, we compute propagators and part of the energy spectrum of the theory; the latter involves interesting variations in the density of states as a function of the level number, and energies scaling inversely with the coupling. Finally, the geometry exhibits a near horizon throat, associated with NCOS dynamics, yet it is found that the whole space is available for Holography. This provides a setting to extend the Maldacena duality beyond the near horizon limit.

14.58183

14.01529

16.070456

12.841899

13.796842

14.32395

13.414694

12.911407

13.726251

16.876583

13.669744

13.483566

14.646623

13.744918

13.270549

13.269777

13.497725

13.084805

13.590833

14.252804

13.563781

hep-th/0001010

Andrei Belitsky

A.V. Belitsky, S. Vandoren, P. van Nieuwenhuizen

Instantons, Euclidean supersymmetry and Wick rotations

8 pages, LaTeX, typos fixed

Phys.Lett. B477 (2000) 335-340

10.1016/S0370-2693(00)00183-0

null

hep-th

null

We discuss the reality properties of the fermionic collective coordinates in Euclidean space in an instanton background and construct hermitean actions for N = 4 and N = 2 supersymmetric Euclidean Yang-Mills theories.

[ { "created": "Tue, 4 Jan 2000 01:28:58 GMT", "version": "v1" }, { "created": "Fri, 4 Feb 2000 16:20:02 GMT", "version": "v2" } ]

2009-10-31

[ [ "Belitsky", "A. V.", "" ], [ "Vandoren", "S.", "" ], [ "van Nieuwenhuizen", "P.", "" ] ]

We discuss the reality properties of the fermionic collective coordinates in Euclidean space in an instanton background and construct hermitean actions for N = 4 and N = 2 supersymmetric Euclidean Yang-Mills theories.

13.633984

8.886812

11.574407

9.22853

9.878266

10.489034

9.978302

9.679147

9.419095

14.699041

10.151582

10.059361

11.686707

9.450152

9.866411

9.278627

9.962832

9.938383

9.932923

11.583914

9.616934

hep-th/9812105

Jose M. F. Labastida

J. M. F. Labastida and Esther Perez

Vassiliev Invariants in the Context of Chern-Simons Gauge Theory

Invited lecture at the Workshop on New Developments in Algebraic Topology, Faro 1998, 17 pages, latex, epsf, 7 figures, 2 tables, figure 7 has been improved

null

Universidad de Santiago de Compostela preprint USC-FT-18/98

hep-th

null

We summarize the progress made during the last few years on the study of Vassiliev invariants from the point of view of perturbative Chern-Simons gauge theory. We argue that this approach is the most promising one to obtain a combinatorial universal formula for Vassiliev invariants. The combinatorial expressions for the two primitive Vassiliev invariants of order four, recently obtained in this context, are reviewed and rewritten in terms of Gauss diagrams.

[ { "created": "Sun, 13 Dec 1998 17:58:14 GMT", "version": "v1" }, { "created": "Sun, 20 Dec 1998 15:52:09 GMT", "version": "v2" } ]

2007-05-23

[ [ "Labastida", "J. M. F.", "" ], [ "Perez", "Esther", "" ] ]

We summarize the progress made during the last few years on the study of Vassiliev invariants from the point of view of perturbative Chern-Simons gauge theory. We argue that this approach is the most promising one to obtain a combinatorial universal formula for Vassiliev invariants. The combinatorial expressions for the two primitive Vassiliev invariants of order four, recently obtained in this context, are reviewed and rewritten in terms of Gauss diagrams.

6.239709

5.651

6.720689

5.628932

6.073977

6.256234

5.623415

5.374774

5.579358

6.700748

5.56778

5.733469

6.260727

5.928568

5.687638

5.769686

5.672552

5.687857

5.917372

6.272047

5.551111

0809.4870

Dam Thanh Son

C. P. Herzog, P. K. Kovtun, D. T. Son

Holographic model of superfluidity

17 pages, 4 figures; v2 ref added; v3 small corrections, published in PRD

null

10.1103/PhysRevD.79.066002

PUPT-2281, INT PUB 08-45

hep-th

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

We study a holographic model of a relativistic quantum system with a global U(1) symmetry, at non-zero temperature and density. When the temperature falls below a critical value, we find a second-order superfluid phase transition with mean-field critical exponents. In the symmetry-broken phase, we determine the speed of second sound as a function of temperature. As the velocity of the superfluid component relative to the normal component increases, the superfluid transition goes through a tricritical point and becomes first-order.

[ { "created": "Sun, 28 Sep 2008 20:55:46 GMT", "version": "v1" }, { "created": "Thu, 9 Oct 2008 21:57:12 GMT", "version": "v2" }, { "created": "Sun, 7 Jun 2009 09:01:55 GMT", "version": "v3" } ]

2009-11-13

[ [ "Herzog", "C. P.", "" ], [ "Kovtun", "P. K.", "" ], [ "Son", "D. T.", "" ] ]

We study a holographic model of a relativistic quantum system with a global U(1) symmetry, at non-zero temperature and density. When the temperature falls below a critical value, we find a second-order superfluid phase transition with mean-field critical exponents. In the symmetry-broken phase, we determine the speed of second sound as a function of temperature. As the velocity of the superfluid component relative to the normal component increases, the superfluid transition goes through a tricritical point and becomes first-order.

5.430449

4.874418

5.830387

5.058209

5.411226

5.725229

4.993853

4.966623

5.18037

5.408834

4.866096

5.425539

5.461165

5.336542

5.036071

5.241853

5.212599

5.065843

5.135538

5.42508

5.022496

1007.3871

Jean Nuyts

David B. Fairlie and Jean Nuyts

Necessary conditions for Ternary Algebras

10 pages

J.Phys.A43:465202,2010

10.1088/1751-8113/43/46/465202

null

hep-th

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

Ternary algebras, constructed from ternary commutators, or as we call them, ternutators, defined as the alternating sum of products of three operators, have been shown to satisfy cubic identities as necessary conditions for their existence. Here we examine the situation where we permit identities not solely constructed from ternutators or nested ternutators and we find that in general, these impose additional restrictions; for example, the anti-commutators or commutators of the operators must obey some linear relations among themselves.

[ { "created": "Thu, 22 Jul 2010 12:51:38 GMT", "version": "v1" } ]

2011-03-28

[ [ "Fairlie", "David B.", "" ], [ "Nuyts", "Jean", "" ] ]

Ternary algebras, constructed from ternary commutators, or as we call them, ternutators, defined as the alternating sum of products of three operators, have been shown to satisfy cubic identities as necessary conditions for their existence. Here we examine the situation where we permit identities not solely constructed from ternutators or nested ternutators and we find that in general, these impose additional restrictions; for example, the anti-commutators or commutators of the operators must obey some linear relations among themselves.

13.46811

12.250624

15.379539

13.094086

13.543509

11.922983

12.246722

12.503556

13.480542

15.62547

13.307606

12.366424

13.81082

12.451324

12.181617

12.077144

12.832628

12.974015

12.477247

13.458736

13.221737

hep-th/0101183

Shahin Mamedov

Sh. Mamedov, Jian-Zu Zhang and V. Zhukovskii

Supersymmetry in Quantum Mechanics of Colored Particles

8 pages, no figures

Mod.Phys.Lett. A16 (2001) 845-852

10.1142/S0217732301004066

null

hep-th

null

The role of supercharge operators is studied in the case of a Dirac particle moving in a constant chromomagnetic field. The Hamiltonian is factorised and the ground state wave function in the case of unbroken supersymmetry is determined.

[ { "created": "Fri, 26 Jan 2001 17:11:36 GMT", "version": "v1" } ]

2009-11-07

[ [ "Mamedov", "Sh.", "" ], [ "Zhang", "Jian-Zu", "" ], [ "Zhukovskii", "V.", "" ] ]

The role of supercharge operators is studied in the case of a Dirac particle moving in a constant chromomagnetic field. The Hamiltonian is factorised and the ground state wave function in the case of unbroken supersymmetry is determined.

10.725069

9.074224

9.583735

9.470402

9.684266

8.560229

8.92875

9.967561

9.004392

9.969829

8.753189

8.328051

9.284899

8.634672

8.158215

8.181325

8.391141

8.814659

8.683759

9.105577

8.221839

hep-th/9311028

Leonid Keldish

O.V.Dodlov, S.E.Konstein, and M.A.Vasiliev

Matrix Versions of the Calogero Model

7 pages, FIAN/TD/17--93

null

hep-th

null

Matrix generalizations of the N-particle quantum-mechanical Calogero model classifying according to representations of the symmetric group $S_N$ are considered. Symmetry properties of the eigen-wave functions in the matrix Calogero models are analyzed. Latex.

[ { "created": "Thu, 4 Nov 1993 21:49:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dodlov", "O. V.", "" ], [ "Konstein", "S. E.", "" ], [ "Vasiliev", "M. A.", "" ] ]

Matrix generalizations of the N-particle quantum-mechanical Calogero model classifying according to representations of the symmetric group $S_N$ are considered. Symmetry properties of the eigen-wave functions in the matrix Calogero models are analyzed. Latex.

19.712021

13.583573

16.512886

15.284039

14.916456

13.210586

12.838601

11.398521

13.055616

21.578152

11.410746

13.801393

15.576346

13.221696

13.695395

13.712344

12.782117

13.407987

13.161765

14.424026

12.696469

1407.1160

Kouichi Nomura

Bimetric gravity and two-component fluid in the AdS/CFT correspondence

25 pages, 2 figures

null

KUNS-2504

hep-th gr-qc

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

We study bimetric gravity through the context of the AdS/CFT correspondence, especially, in the first order hdrodynamic limit. If we put pure general relativity as a bulk field, the boundary field theory is interpreted as fluid of the N = 4 supersymmetric Yang-Mills plasma. The transport coefficients of this plasma are computed via the AdS/CFT correspondence. Then, we prepare a pair of gravitational fields on the bulk side and let them interact. We expect that two-component fluid emerge on the CFT boundary side because the number of metrics becomes double. However, the situation is rather complicated. The interaction generates a massive graviton. This massive mode leads to the extra divergences which are absent in the case of general relativity. Our first investigation is how to cancel these divergences. After that, we see the emergence of two-component fluid and calculate their pressure and sheer viscosity. The interaction makes two kinds of fluid mixed and the sheer viscosity obtain slight correction dependent on the mass of a graviton.

[ { "created": "Fri, 4 Jul 2014 09:17:52 GMT", "version": "v1" } ]

2014-07-07

[ [ "Nomura", "Kouichi", "" ] ]

We study bimetric gravity through the context of the AdS/CFT correspondence, especially, in the first order hdrodynamic limit. If we put pure general relativity as a bulk field, the boundary field theory is interpreted as fluid of the N = 4 supersymmetric Yang-Mills plasma. The transport coefficients of this plasma are computed via the AdS/CFT correspondence. Then, we prepare a pair of gravitational fields on the bulk side and let them interact. We expect that two-component fluid emerge on the CFT boundary side because the number of metrics becomes double. However, the situation is rather complicated. The interaction generates a massive graviton. This massive mode leads to the extra divergences which are absent in the case of general relativity. Our first investigation is how to cancel these divergences. After that, we see the emergence of two-component fluid and calculate their pressure and sheer viscosity. The interaction makes two kinds of fluid mixed and the sheer viscosity obtain slight correction dependent on the mass of a graviton.

12.993948

14.166553

13.15504

13.083442

12.728405

13.336808

13.028722

13.300925

12.960505

13.956786

12.859136

12.500001

13.174392

12.673924

12.374368

12.49964

12.730406

12.832362

12.465357

12.925215

12.391077

1203.6354

Leonardo Senatore

Leonardo Senatore and Matias Zaldarriaga

On Loops in Inflation II: IR Effects in Single Clock Inflation

13 pages, 1 figure; v2: JHEP published version, added minor comments and references

null

10.1007/JHEP01(2013)109

null

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

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

In single clock models of inflation the coupling between modes of very different scales does not have any significant dynamical effect during inflation. It leads to interesting projection effects. Larger and smaller modes change the relation between the scale a mode of interest will appear in the post-inflationary universe and will also change the time of horizon crossing of that mode. We argue that there are no infrared projection effects in physical questions, that there are no effects from modes of longer wavelength than the one of interest. These potential effects cancel when computing fluctuations as a function of physically measurable scales. Modes on scales smaller than the one of interest change the mapping between horizon crossing time and scale. The correction to the mapping computed in the absence of fluctuations is enhanced by a factor N_e, the number of e-folds of inflation between horizon crossing and reheating. The new mapping is stochastic in nature but its variance is not enhanced by N_e.

[ { "created": "Wed, 28 Mar 2012 20:00:04 GMT", "version": "v1" }, { "created": "Mon, 11 Feb 2013 10:47:52 GMT", "version": "v2" } ]

2015-06-04

[ [ "Senatore", "Leonardo", "" ], [ "Zaldarriaga", "Matias", "" ] ]

In single clock models of inflation the coupling between modes of very different scales does not have any significant dynamical effect during inflation. It leads to interesting projection effects. Larger and smaller modes change the relation between the scale a mode of interest will appear in the post-inflationary universe and will also change the time of horizon crossing of that mode. We argue that there are no infrared projection effects in physical questions, that there are no effects from modes of longer wavelength than the one of interest. These potential effects cancel when computing fluctuations as a function of physically measurable scales. Modes on scales smaller than the one of interest change the mapping between horizon crossing time and scale. The correction to the mapping computed in the absence of fluctuations is enhanced by a factor N_e, the number of e-folds of inflation between horizon crossing and reheating. The new mapping is stochastic in nature but its variance is not enhanced by N_e.

15.398644

16.625956

16.505501

15.436015

17.004456

16.638081

16.309765

15.835915

14.552173

15.6228

14.900845

14.147501

14.322539

14.270093

13.826746

14.618382

13.630315

14.208377

14.005724

14.915002

13.95498

1301.3519

David Berenstein

Giant gravitons: a collective coordinate approach

29 pages + appendix. v2: small changes, added references. v3: Added reference, fixed typos, added some clarifying remarks and made introduction more concise

null

10.1103/PhysRevD.87.126009

null

hep-th

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

In this paper I describe a collective coordinate approach to the study of giant graviton states and their excitations in various field theories. The method simplifies considerably the understanding of emergent gauge symmetry of these configurations, as well as the calculation of the spectrum of strings stretched between the giant gravitons. There is a limit where these results reproduce the one loop dispersion relation for giant magnons. I also show that this method gives rise to a simple geometric interpretation of a Higgs mechanism for the emergent gauge symmetry which parallels the holographic dual realization of these sates: the effective Higgs condensate is the geometric separation of D-branes in the collective coordinate geometry.

[ { "created": "Tue, 15 Jan 2013 22:32:18 GMT", "version": "v1" }, { "created": "Tue, 12 Feb 2013 18:06:38 GMT", "version": "v2" }, { "created": "Mon, 20 May 2013 19:37:08 GMT", "version": "v3" } ]

2013-06-19

[ [ "Berenstein", "David", "" ] ]

In this paper I describe a collective coordinate approach to the study of giant graviton states and their excitations in various field theories. The method simplifies considerably the understanding of emergent gauge symmetry of these configurations, as well as the calculation of the spectrum of strings stretched between the giant gravitons. There is a limit where these results reproduce the one loop dispersion relation for giant magnons. I also show that this method gives rise to a simple geometric interpretation of a Higgs mechanism for the emergent gauge symmetry which parallels the holographic dual realization of these sates: the effective Higgs condensate is the geometric separation of D-branes in the collective coordinate geometry.

13.084705

11.313779

14.962871

10.925536

11.587286

12.050696

11.870914

11.598928

11.089915

14.270025

11.096266

11.008234

12.069118

11.218481

11.313562

11.315616

11.141506

11.037216

11.290901

12.071444

11.738261

hep-th/0607103

Tasneem Zehra Husain

BPS M-Brane Geometries

7 pages. Contribution to proceedings of 12th Regional Conference in Mathematical Physics, Islamabad, March 2006

null

hep-th

null

In the search for a classification of BPS backgrounds with flux, we look at geometries that arise when M-branes wrap supersymmetric cycles in Calabi-Yau manifolds. We find constraints on the differential forms in the back-reacted manifolds and discover that the calibration corresponding to the (background generating) M-brane is a co-closed form.

[ { "created": "Sun, 16 Jul 2006 18:25:01 GMT", "version": "v1" } ]

2007-05-23

[ [ "Husain", "Tasneem Zehra", "" ] ]

In the search for a classification of BPS backgrounds with flux, we look at geometries that arise when M-branes wrap supersymmetric cycles in Calabi-Yau manifolds. We find constraints on the differential forms in the back-reacted manifolds and discover that the calibration corresponding to the (background generating) M-brane is a co-closed form.

15.268093

15.250154

16.223152

13.046863

13.637372

13.955495

13.09404

12.910847

13.421838

17.733469

14.405876

14.423217

16.403902

13.623878

13.324782

13.57501

13.703601

13.174129

13.378678

15.656014

13.280006

1801.02049

Maxim Kurkov

Maxim Kurkov and Dmitri Vassilevich

Gravitational parity anomaly with and without boundaries

16 pages, final version, accepted for publication in JHEP

JHEP 1803 (2018) 072

10.1007/JHEP03(2018)072

null

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

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

In this paper we consider gravitational parity anomaly in three and four dimensions. We start with a re-computation of this anomaly on a 3D manifold without boundaries and with a critical comparison of our results to the previous calculations. Then we compute the anomaly on 4D manifolds with boundaries with local bag boundary conditions. We find, that gravitational parity anomaly is localized on the boundary and contains a gravitational Chern-Simons terms together with a term depending of the extrinsic curvature. We also discuss the main properties of the anomaly, as the conformal invariance, relations between 3D and 4D anomalies, etc.

[ { "created": "Sat, 6 Jan 2018 16:57:51 GMT", "version": "v1" }, { "created": "Fri, 12 Jan 2018 17:11:17 GMT", "version": "v2" }, { "created": "Fri, 9 Mar 2018 12:09:43 GMT", "version": "v3" } ]

2018-11-22

[ [ "Kurkov", "Maxim", "" ], [ "Vassilevich", "Dmitri", "" ] ]

In this paper we consider gravitational parity anomaly in three and four dimensions. We start with a re-computation of this anomaly on a 3D manifold without boundaries and with a critical comparison of our results to the previous calculations. Then we compute the anomaly on 4D manifolds with boundaries with local bag boundary conditions. We find, that gravitational parity anomaly is localized on the boundary and contains a gravitational Chern-Simons terms together with a term depending of the extrinsic curvature. We also discuss the main properties of the anomaly, as the conformal invariance, relations between 3D and 4D anomalies, etc.

8.546427

8.211125

8.410169

7.457425

8.065635

7.710336

7.611066

7.701413

8.350444

8.747649

8.012373

8.17759

8.147126

8.117542

8.080777

8.28581

8.019077

8.464291

7.964294

8.347172

7.982504

1502.04267

Sinya Aoki

Sinya Aoki, Takumi Iritani, Masahiro Nozaki, Tokiro Numasawa, Noburo Shiba, Hal Tasaki

On the definition of entanglement entropy in lattice gauge theories

29 pages, 1 figure, a comment and more references added, some typos corrected

null

YITP-2015-8

hep-th hep-lat quant-ph

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

We focus on the issue of proper definition of entanglement entropy in lattice gauge theories, and examine a naive definition where gauge invariant states are viewed as elements of an extended Hilbert space which contains gauge non-invariant states as well. Working in the extended Hilbert space, we can define entanglement entropy associated with an arbitrary subset of links, not only for abelian but also for non-abelian theories. We then derive the associated replica formula. We also discuss the issue of gauge invariance of the entanglement entropy. In the $Z_N$ gauge theories in arbitrary space dimensions, we show that all the standard properties of the entanglement entropy, e.g. the strong subadditivity, hold in our definition. We study the entanglement entropy for special states, including the topological states for the $Z_N$ gauge theories in arbitrary dimensions. We discuss relations of our definition to other proposals.

[ { "created": "Sun, 15 Feb 2015 01:21:48 GMT", "version": "v1" }, { "created": "Tue, 24 Feb 2015 03:57:54 GMT", "version": "v2" } ]

2015-02-25

[ [ "Aoki", "Sinya", "" ], [ "Iritani", "Takumi", "" ], [ "Nozaki", "Masahiro", "" ], [ "Numasawa", "Tokiro", "" ], [ "Shiba", "Noburo", "" ], [ "Tasaki", "Hal", "" ] ]

We focus on the issue of proper definition of entanglement entropy in lattice gauge theories, and examine a naive definition where gauge invariant states are viewed as elements of an extended Hilbert space which contains gauge non-invariant states as well. Working in the extended Hilbert space, we can define entanglement entropy associated with an arbitrary subset of links, not only for abelian but also for non-abelian theories. We then derive the associated replica formula. We also discuss the issue of gauge invariance of the entanglement entropy. In the $Z_N$ gauge theories in arbitrary space dimensions, we show that all the standard properties of the entanglement entropy, e.g. the strong subadditivity, hold in our definition. We study the entanglement entropy for special states, including the topological states for the $Z_N$ gauge theories in arbitrary dimensions. We discuss relations of our definition to other proposals.

6.195415

6.652248

6.809054

5.754946

5.930161

5.84517

6.282548

5.95494

5.969487

7.226807

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5.888954

6.125622

5.801819

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5.805408

5.636293

5.825422

5.897262

6.066065

5.794777

hep-th/9706024

Nathan Jacob Berkovits

Nathan Berkovits (IFT/UNESP, Sao Paulo)

Ramond-Ramond Central Charges in the Supersymmetry Algebra of the Superstring

10 pages harvmac tex

Phys.Rev.Lett. 79 (1997) 1813-1816

10.1103/PhysRevLett.79.1813

IFT-P.038/97

hep-th

null

The free action for the massless sector of the Type II superstring was recently constructed using closed RNS superstring field theory. The supersymmetry transformations of this action are shown to satisfy an N=2 D=10 SUSY algebra with Ramond-Ramond central charges.

[ { "created": "Tue, 3 Jun 1997 23:11:02 GMT", "version": "v1" } ]

2009-10-30

[ [ "Berkovits", "Nathan", "", "IFT/UNESP, Sao Paulo" ] ]

The free action for the massless sector of the Type II superstring was recently constructed using closed RNS superstring field theory. The supersymmetry transformations of this action are shown to satisfy an N=2 D=10 SUSY algebra with Ramond-Ramond central charges.

10.675355

8.150166

11.746517

9.402154

8.728145

9.498715

9.013048

8.478909

8.865515

15.715211

9.492528

9.484712

10.744569

9.569805

9.587274

9.939623

9.864966

9.636486

9.369905

11.360665

9.499678

hep-th/0606229

Fabio Scardigli

Fabio Scardigli and Roberto Casadio

Reply to "Holographic principle in spacetimes with extra spatial dimensions" and "About quantum fluctuations and holographic principle in (4+n)-dimensional spacetime"

LaTex file, 4 pages

null

hep-th

null

We reply to the comments by P.Midodashvili about our previous paper [1]. We argue that, contrary to the conclusions in Refs. [2,3], the Generalized Uncertainty Principle proposed by Ng and van Dam in Ref. [4] is compatible with the Holographic Principle in spacetimes with extra dimensions only for a very special (and somehow unrealistic) choice of the relation between the size and mass of the clock.

[ { "created": "Fri, 23 Jun 2006 13:09:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Scardigli", "Fabio", "" ], [ "Casadio", "Roberto", "" ] ]

We reply to the comments by P.Midodashvili about our previous paper [1]. We argue that, contrary to the conclusions in Refs. [2,3], the Generalized Uncertainty Principle proposed by Ng and van Dam in Ref. [4] is compatible with the Holographic Principle in spacetimes with extra dimensions only for a very special (and somehow unrealistic) choice of the relation between the size and mass of the clock.

11.077424

8.74354

9.243069

8.616148

9.173181

9.316833

10.472304

7.963299

9.139799

8.698639

8.792276

9.174232

9.463673

8.932374

9.319279

9.484556

9.108189

9.079041

9.151431

9.16221

9.596407

hep-th/0607244

Itamar Yaakov

Open and Closed String Worldsheets from Free Large N Gauge Theories with Adjoint and Fundamental Matter

19 pages, 3 figures; typo corrected, section 2.2 clarified

JHEP0611:065,2006

10.1088/1126-6708/2006/11/065

WIS/08/06-JULY-DPP

hep-th

null

We extend Gopakumar's prescription for constructing closed string worldsheets from free field theory diagrams with adjoint matter to open and closed string worldsheets arising from free field theories with fundamental matter. We describe the extension of the gluing mechanism and the electrical circuit analogy to fundamental matter. We discuss the generalization of the existence and uniqueness theorem of Strebel differentials to open Riemann surfaces. Two examples are computed of correlators containing fundamental matter, and the resulting worldsheet OPE's are computed. Generic properties of Gopakumar's construction are discussed.

[ { "created": "Sun, 30 Jul 2006 09:13:02 GMT", "version": "v1" }, { "created": "Wed, 16 Aug 2006 10:47:03 GMT", "version": "v2" }, { "created": "Thu, 12 Oct 2006 13:42:18 GMT", "version": "v3" } ]

2009-11-11

[ [ "Yaakov", "Itamar", "" ] ]

We extend Gopakumar's prescription for constructing closed string worldsheets from free field theory diagrams with adjoint matter to open and closed string worldsheets arising from free field theories with fundamental matter. We describe the extension of the gluing mechanism and the electrical circuit analogy to fundamental matter. We discuss the generalization of the existence and uniqueness theorem of Strebel differentials to open Riemann surfaces. Two examples are computed of correlators containing fundamental matter, and the resulting worldsheet OPE's are computed. Generic properties of Gopakumar's construction are discussed.

14.763251

13.912269

17.520546

13.749031

14.140083

13.257771

15.512565

12.891479

14.092107

15.634776

13.67326

13.521393

14.943056

13.664707

14.226591

13.703814

13.37305

13.432171

13.626832

14.958934

13.762264

hep-th/9803175

Maria A. Lledo

M.A. Lledo and V.S.V. Varadarajan

SU(2) Poisson-Lie T duality

12 pages, 1 figure

Lett.Math.Phys. 45 (1998) 247-257

null

UCLA/98/TEP/12

hep-th

null

Poisson-Lie target space duality is a framework where duality transformations are properly defined. In this letter we investigate the pair of sigma models defined by the double SO(3,1) in the Iwasawa decomposition.

[ { "created": "Fri, 20 Mar 1998 23:11:23 GMT", "version": "v1" }, { "created": "Thu, 26 Mar 1998 23:47:53 GMT", "version": "v2" } ]

2007-05-23

[ [ "Lledo", "M. A.", "" ], [ "Varadarajan", "V. S. V.", "" ] ]

Poisson-Lie target space duality is a framework where duality transformations are properly defined. In this letter we investigate the pair of sigma models defined by the double SO(3,1) in the Iwasawa decomposition.

16.90926

13.321055

14.279922

12.317202

14.477873

15.591019

13.454329

15.148712

12.479183

17.235895

13.171491

13.704352

14.114367

13.717542

12.667587

13.04593

12.550495

13.267465

12.954901

13.722875

13.029781

hep-th/9306008

Kurt Haller

K. Haller and E. Lim-Lombridas

Quantum Gauge Equivalence in QED

Contribution for a special issue of Foundations of Physics honoring Fritz Rohrlich; edited by Larry P. Horwitz, Tel-Aviv University, and Alwyn van der Merwe, University of Denver (Plenum Publishing, New York); 40 pages, REVTEX, Preprint UCONN-93-3, 1 figure available upon request from authors

Found.Phys.24:217-247,1994

10.1007/BF02313123

null

hep-th

null

We discuss gauge transformations in QED coupled to a charged spinor field, and examine whether we can gauge-transform the entire formulation of the theory from one gauge to another, so that not only the gauge and spinor fields, but also the forms of the operator-valued Hamiltonians are transformed. The discussion includes the covariant gauge, in which the gauge condition and Gauss's law are not primary constraints on operator-valued quantities; it also includes the Coulomb gauge, and the spatial axial gauge, in which the constraints are imposed on operator-valued fields by applying the Dirac-Bergmann procedure. We show how to transform the covariant, Coulomb and spatial axial gauges to what we call ``common form,'' in which all particle excitation modes have identical properties. We also show that, once that common form has been reached, QED in different gauges has a common time-evolution operator that defines time-translation for states that represent systems of electrons and photons. By combining gauge transformations with changes of representation from standard to common form, the entire apparatus of a gauge theory can be transformed from one gauge to another.

[ { "created": "Tue, 1 Jun 1993 21:12:09 GMT", "version": "v1" } ]

2010-11-01

[ [ "Haller", "K.", "" ], [ "Lim-Lombridas", "E.", "" ] ]

We discuss gauge transformations in QED coupled to a charged spinor field, and examine whether we can gauge-transform the entire formulation of the theory from one gauge to another, so that not only the gauge and spinor fields, but also the forms of the operator-valued Hamiltonians are transformed. The discussion includes the covariant gauge, in which the gauge condition and Gauss's law are not primary constraints on operator-valued quantities; it also includes the Coulomb gauge, and the spatial axial gauge, in which the constraints are imposed on operator-valued fields by applying the Dirac-Bergmann procedure. We show how to transform the covariant, Coulomb and spatial axial gauges to what we call ``common form,'' in which all particle excitation modes have identical properties. We also show that, once that common form has been reached, QED in different gauges has a common time-evolution operator that defines time-translation for states that represent systems of electrons and photons. By combining gauge transformations with changes of representation from standard to common form, the entire apparatus of a gauge theory can be transformed from one gauge to another.

10.362889

11.611496

10.413065

9.808737

11.349003

10.985023

10.633436

10.02486

10.712015

11.681943

10.455719

9.902905

10.327159

9.737803

9.940558

10.241018

10.18605

9.997802

9.978168

10.489509

9.7599

2304.01776

Yichao Tang

Song He, Yichao Tang

Jumpstarting (elliptic) symbol integrations for loop integrals

6 pages including an appendix, several figures

null

hep-th

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

We derive an algorithm for computing the total differentials of multi-loop integrals expressed as one-fold integrals of multiple polylogarithms, which can involve square roots of polynomials up to degree four and may evaluate to (elliptic) multiple polylogarithms ((e)MPL). This gives simple algebraic rules for computing the $(W{-}1, 1)$-coproduct of the resulting weight-$W$ functions up to period terms, and iterating it gives the symbol without actually performing any integration. In particular, our algorithm generalizes existing MPL integration rules and sidesteps the complicated rationalization procedure in the presence of square roots. We apply our algorithm to conformal double-$D$-gon integrals in $D$ dimensions with generic kinematics and possibly massive circumferential propagators. We directly compute, for the first time, the total differential and symbol (up to period terms) of the $D{=}3$ double-triangle and the $D{=}4$ double-box, which in the special case with massless propagators represent the first appearance of eMPL functions in (two-loop) scattering amplitudes of ${\cal N}{=}6$ Chern-Simons-matter theory and ${\cal N}{=}4$ super-Yang-Mills, respectively.

[ { "created": "Tue, 4 Apr 2023 13:06:40 GMT", "version": "v1" } ]

2023-04-05

[ [ "He", "Song", "" ], [ "Tang", "Yichao", "" ] ]

We derive an algorithm for computing the total differentials of multi-loop integrals expressed as one-fold integrals of multiple polylogarithms, which can involve square roots of polynomials up to degree four and may evaluate to (elliptic) multiple polylogarithms ((e)MPL). This gives simple algebraic rules for computing the $(W{-}1, 1)$-coproduct of the resulting weight-$W$ functions up to period terms, and iterating it gives the symbol without actually performing any integration. In particular, our algorithm generalizes existing MPL integration rules and sidesteps the complicated rationalization procedure in the presence of square roots. We apply our algorithm to conformal double-$D$-gon integrals in $D$ dimensions with generic kinematics and possibly massive circumferential propagators. We directly compute, for the first time, the total differential and symbol (up to period terms) of the $D{=}3$ double-triangle and the $D{=}4$ double-box, which in the special case with massless propagators represent the first appearance of eMPL functions in (two-loop) scattering amplitudes of ${\cal N}{=}6$ Chern-Simons-matter theory and ${\cal N}{=}4$ super-Yang-Mills, respectively.

10.469225

11.186182

11.370607

10.238541

10.687668

10.931688

10.300589

10.335797

10.637404

12.929461

10.275433

10.382634

10.68568

10.015072

9.847503

9.903415

9.996525

10.275138

9.927251

10.931302

10.255906

0707.0868

Stephen Wood

Olga V. Manko, Nicholas S. Manton and Stephen W. Wood

Light Nuclei as Quantized Skyrmions

33 pages, 16 figures, Section 13 replaced

Phys.Rev.C76:055203,2007

10.1103/PhysRevC.76.055203

DAMTP-2007-61

hep-th nucl-th

null

We consider the rigid body quantization of Skyrmions with topological charges 1 to 8, as approximated by the rational map ansatz. Novel, general expressions for the elements of the inertia tensors, in terms of the approximating rational map, are presented and are used to determine the kinetic energy contribution to the total energy of the ground and excited states of the quantized Skyrmions. Our results are compared to the experimentally determined energy levels of the corresponding nuclei, and the energies and spins of a few as yet unobserved states are predicted.

[ { "created": "Thu, 5 Jul 2007 20:00:05 GMT", "version": "v1" }, { "created": "Tue, 17 Jul 2007 10:54:52 GMT", "version": "v2" } ]

2008-11-26

[ [ "Manko", "Olga V.", "" ], [ "Manton", "Nicholas S.", "" ], [ "Wood", "Stephen W.", "" ] ]

We consider the rigid body quantization of Skyrmions with topological charges 1 to 8, as approximated by the rational map ansatz. Novel, general expressions for the elements of the inertia tensors, in terms of the approximating rational map, are presented and are used to determine the kinetic energy contribution to the total energy of the ground and excited states of the quantized Skyrmions. Our results are compared to the experimentally determined energy levels of the corresponding nuclei, and the energies and spins of a few as yet unobserved states are predicted.

9.423989

8.165406

10.221625

8.372618

9.018993

8.502082

9.409234

8.212601

8.472209

10.112138

8.537008

8.218574

9.260221

8.786907

8.509857

8.844076

8.642044

8.85416

8.446487

9.072067

8.718165

2106.09355

Victoria Abakumova

V. A. Abakumova and S. L. Lyakhovich

Reducible Stueckelberg symmetry and dualities

15 pages

null

10.1016/j.physletb.2021.136552

null

hep-th

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

We propose a general procedure for iterative inclusion of Stueckelberg fields to convert the theory into gauge system being equivalent to the original one. In so doing, we admit reducibility of the Stueckelberg gauge symmetry. In this case, no pairing exists between Stueckelberg fields and gauge parameters, unlike the irreducible Stueckelberg symmetry. The general procedure is exemplified by the case of Proca model, with the third order involutive closure chosen as the starting point. In this case, the set of Stueckelberg fields includes, besides the scalar, also the second rank antisymmetric tensor. The reducible Stueckelberg gauge symmetry is shown to admit different gauge fixing conditions. One of the gauges reproduces the original Proca theory, while another one excludes the original vector and the Stueckelberg scalar. In this gauge, the irreducible massive spin one is represented by antisymmetric second rank tensor obeying the third order field equations. Similar dual formulations are expected to exist for the fields of various spins.

[ { "created": "Thu, 17 Jun 2021 10:17:22 GMT", "version": "v1" } ]

2021-08-04

[ [ "Abakumova", "V. A.", "" ], [ "Lyakhovich", "S. L.", "" ] ]

We propose a general procedure for iterative inclusion of Stueckelberg fields to convert the theory into gauge system being equivalent to the original one. In so doing, we admit reducibility of the Stueckelberg gauge symmetry. In this case, no pairing exists between Stueckelberg fields and gauge parameters, unlike the irreducible Stueckelberg symmetry. The general procedure is exemplified by the case of Proca model, with the third order involutive closure chosen as the starting point. In this case, the set of Stueckelberg fields includes, besides the scalar, also the second rank antisymmetric tensor. The reducible Stueckelberg gauge symmetry is shown to admit different gauge fixing conditions. One of the gauges reproduces the original Proca theory, while another one excludes the original vector and the Stueckelberg scalar. In this gauge, the irreducible massive spin one is represented by antisymmetric second rank tensor obeying the third order field equations. Similar dual formulations are expected to exist for the fields of various spins.

8.805471

8.23387

9.31093

8.312173

8.22648

8.731213

8.82377

8.578893

8.483768

10.071898

7.912947

8.690355

8.669405

8.412956

8.485495

8.44079

8.610881

8.184782

8.538482

8.741614

8.395099

hep-th/9402014

null

D. Bonatsos, C. Daskaloyannis, D. Ellinas and A. Faessler

Discretization of the phase space for a q-deformed harmonic oscillator with q a root of unity

17 pages, Latex file, FTUV/ 93-53, IFIC/ 93-34

Phys.Lett. B331 (1994) 150-156

10.1016/0370-2693(94)90956-3

null

hep-th

null

The ``position'' and ``momentum'' operators for the q-deformed oscillator with q being a root of unity are proved to have discrete eigenvalues which are roots of deformed Hermite polynomials. The Fourier transform connecting the ``position'' and ``momentum'' representations is also found The phase space of this oscillator has a lattice structure, which is a non-uniformly distributed grid. Non-equidistant lattice structures also occur in the cases of the truncated harmonic oscillator and of the q-deformed parafermionic oscillator, while the parafermionic oscillator corresponds to a uniformly distributed grid.

[ { "created": "Thu, 3 Feb 1994 11:27:00 GMT", "version": "v1" } ]

2019-08-15

[ [ "Bonatsos", "D.", "" ], [ "Daskaloyannis", "C.", "" ], [ "Ellinas", "D.", "" ], [ "Faessler", "A.", "" ] ]

The ``position'' and ``momentum'' operators for the q-deformed oscillator with q being a root of unity are proved to have discrete eigenvalues which are roots of deformed Hermite polynomials. The Fourier transform connecting the ``position'' and ``momentum'' representations is also found The phase space of this oscillator has a lattice structure, which is a non-uniformly distributed grid. Non-equidistant lattice structures also occur in the cases of the truncated harmonic oscillator and of the q-deformed parafermionic oscillator, while the parafermionic oscillator corresponds to a uniformly distributed grid.

8.833164

9.148646

9.548316

8.090556

10.573836

9.769116

9.062207

8.491124

8.555758

10.113056

8.07318

8.538636

8.954394

8.34315

8.172246

8.17866

8.610749

8.417966

8.634027

8.924998

8.520343

1911.08295

Bogus{\l}aw Broda

Unitary toy qubit transport model for black hole evaporation

5 pages, accepted version

Eur. Phys. J. C 80, 418 (2020)

10.1140/epjc/s10052-020-7947-1

null

hep-th gr-qc quant-ph

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

In a recent paper Osuga and Page have presented an explicitly unitary toy qubit transport model for transferring information from a black hole to the outgoing radiation. Following their idea we propose a unitary toy model which involves (fermionic) Hawking states.

[ { "created": "Tue, 19 Nov 2019 14:34:04 GMT", "version": "v1" }, { "created": "Wed, 20 Nov 2019 12:08:56 GMT", "version": "v2" }, { "created": "Mon, 25 Nov 2019 15:14:53 GMT", "version": "v3" }, { "created": "Thu, 5 Dec 2019 15:35:15 GMT", "version": "v4" }, { "created": "Tue, 29 Dec 2020 15:39:21 GMT", "version": "v5" } ]

2021-01-01

[ [ "Broda", "Bogusław", "" ] ]

In a recent paper Osuga and Page have presented an explicitly unitary toy qubit transport model for transferring information from a black hole to the outgoing radiation. Following their idea we propose a unitary toy model which involves (fermionic) Hawking states.

31.82209

16.341862

29.463747

16.820898

17.254684

19.344347

15.592305

15.4681

15.913697

27.211908

19.867849

19.665218

22.224012

21.674606

21.393961

20.07542

21.084225

19.343359

22.723276

21.711285

22.749989

1112.2119

Dankrad T.J. Feist

Interactions of B = 4 Skyrmions

21 pages, 11 figures

null

10.1007/JHEP02(2012)100

DAMTP-2011-105

hep-th nucl-th

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

It is known that the interactions of single Skyrmions are asymptotically described by a Yukawa dipole potential. Less is known about the interactions of solutions of the Skyrme model with higher baryon number. In this paper, it is shown that Yukawa multipole theory can be more generally applied to Skyrmion interactions, and in particular to the long-range dominant interactions of the B = 4 solution of the Skyrme model, which models the alpha-particle. A method that gives the quadrupole nature of the interaction a more intuitive meaning in the pion field colour picture is demonstrated. Numerical methods are employed to find the precise strength of quadrupole and octupole interactions. The results are applied to the B = 8 and B = 12 solutions and to the Skyrme crystal.

[ { "created": "Fri, 9 Dec 2011 15:27:58 GMT", "version": "v1" } ]

2015-06-03

[ [ "Feist", "Dankrad T. J.", "" ] ]

It is known that the interactions of single Skyrmions are asymptotically described by a Yukawa dipole potential. Less is known about the interactions of solutions of the Skyrme model with higher baryon number. In this paper, it is shown that Yukawa multipole theory can be more generally applied to Skyrmion interactions, and in particular to the long-range dominant interactions of the B = 4 solution of the Skyrme model, which models the alpha-particle. A method that gives the quadrupole nature of the interaction a more intuitive meaning in the pion field colour picture is demonstrated. Numerical methods are employed to find the precise strength of quadrupole and octupole interactions. The results are applied to the B = 8 and B = 12 solutions and to the Skyrme crystal.

8.557211

9.183809

8.402444

8.232716

8.298244

8.473647

8.54978

8.334627

7.993527

8.759468

7.781922

8.476266

8.285811

8.311033

8.066241

8.26156

8.205816

8.065487

8.136151

8.203856

8.195687

hep-th/9506166

Hyeonjoon Shin

Hyeonjoon Shin, Young-Jai Park, Yongduk Kim, and Won T. Kim

On the anomaly of nonlocal symmetry in the chiral QED

4 pages, latex, no figures

J.KoreanPhys.Soc.29:392-393,1996

null

SOGANG-HEP-200/95

hep-th

null

We show that the anomaly of nonlocal symmetry can be canceled by the well-known Wess-Zumino acton which cancels the gauge anomaly in the two-dimensional chiral electrodynamics.

[ { "created": "Mon, 26 Jun 1995 07:55:54 GMT", "version": "v1" } ]

2008-11-26

[ [ "Shin", "Hyeonjoon", "" ], [ "Park", "Young-Jai", "" ], [ "Kim", "Yongduk", "" ], [ "Kim", "Won T.", "" ] ]

We show that the anomaly of nonlocal symmetry can be canceled by the well-known Wess-Zumino acton which cancels the gauge anomaly in the two-dimensional chiral electrodynamics.

16.578129

13.582787

13.477666

11.549101

11.717497

11.543983

11.905417

13.255415

12.707316

13.810349

11.692612

13.704522

14.292953

14.021607

13.663278

12.345881

12.339803

12.060322

13.270021

15.421041

12.433846

hep-th/9911162

Max Chaves

M. Chaves and H. Morales

Grand unification using a generalized Yang-Mills theory

10 pages, no figures

Mod.Phys.Lett. A15 (2000) 197-206

10.1142/S0217732300000190

null

hep-th

null

Generalized Yang-Mills theories have a covariant derivative that employs both scalar and vector bosons. Here we show how grand unified theories of the electroweak and strong interactions can be constructed with them. In particular the SU(5) GUT can be obtained from SU(6) with SU(5)xU(1) as a maximal subgroup. The choice of maximal subgroup also determines the chiral structure of the theory. The resulting Lagrangian has only two terms, and only two irreducible representations are needed, one for fermions and another for bosons.

[ { "created": "Sat, 20 Nov 1999 03:39:25 GMT", "version": "v1" } ]

2009-10-31

[ [ "Chaves", "M.", "" ], [ "Morales", "H.", "" ] ]

Generalized Yang-Mills theories have a covariant derivative that employs both scalar and vector bosons. Here we show how grand unified theories of the electroweak and strong interactions can be constructed with them. In particular the SU(5) GUT can be obtained from SU(6) with SU(5)xU(1) as a maximal subgroup. The choice of maximal subgroup also determines the chiral structure of the theory. The resulting Lagrangian has only two terms, and only two irreducible representations are needed, one for fermions and another for bosons.

7.692513

7.135923

7.131159

6.978933

7.010727

7.581878

7.603891

7.077317

6.734025

7.213403

7.196981

7.187137

7.157394

7.106003

7.197991

7.159225

7.436467

7.173443

7.319582

7.176496

7.232117

1303.1803

Xiao-Gang Wen

Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders

23 pages, RevTeX4, 3 figures, 1 table

Phys. Rev. D 88, 045013 (2013)

10.1103/PhysRevD.88.045013

null

hep-th cond-mat.str-el

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

In this paper, we systematically study gauge anomalies in bosonic and fermionic weak-coupling gauge theories with gauge group G (which can be continuous or discrete). We show a very close relation between gauge anomalies and symmetry-protected trivial (SPT) orders [also known as symmetry-protected topological (SPT) orders] in one-higher dimensions. Using such an idea, we argue that, in d space-time dimensions, the gauge anomalies are described by the elements in Free[H^{d+1}(G,R/Z)]\oplus H_\pi^{d+1}(BG,R/Z). The well known Adler-Bell-Jackiw anomalies are classified by the free part of the group cohomology class H^{d+1}(G,R/Z) of the gauge group G (denoted as Free[H^{d+1}(G,\R/\Z)]). We refer other kinds of gauge anomalies beyond Adler-Bell-Jackiw anomalies as nonABJ gauge anomalies, which include Witten SU(2) global gauge anomaly. We introduce a notion of \pi-cohomology group, H_\pi^{d+1}(BG,R/Z), for the classifying space BG, which is an Abelian group and include Tor[H^{d+1}(G,R/Z)] and topological cohomology group H^{d+1}(BG,R/Z) as subgroups. We argue that H_\pi^{d+1}(BG,R/Z) classifies the bosonic nonABJ gauge anomalies, and partially classifies fermionic nonABJ anomalies. Using the same approach that shows gauge anomalies to be connected to SPT phases, we can also show that gravitational anomalies are connected to topological orders (ie patterns of long-range entanglement) in one-higher dimension.

[ { "created": "Thu, 7 Mar 2013 20:38:08 GMT", "version": "v1" }, { "created": "Sun, 28 Apr 2013 14:19:19 GMT", "version": "v2" }, { "created": "Sun, 5 May 2013 18:59:02 GMT", "version": "v3" }, { "created": "Tue, 30 Jul 2013 14:52:26 GMT", "version": "v4" } ]

2013-11-19

[ [ "Wen", "Xiao-Gang", "" ] ]

In this paper, we systematically study gauge anomalies in bosonic and fermionic weak-coupling gauge theories with gauge group G (which can be continuous or discrete). We show a very close relation between gauge anomalies and symmetry-protected trivial (SPT) orders [also known as symmetry-protected topological (SPT) orders] in one-higher dimensions. Using such an idea, we argue that, in d space-time dimensions, the gauge anomalies are described by the elements in Free[H^{d+1}(G,R/Z)]\oplus H_\pi^{d+1}(BG,R/Z). The well known Adler-Bell-Jackiw anomalies are classified by the free part of the group cohomology class H^{d+1}(G,R/Z) of the gauge group G (denoted as Free[H^{d+1}(G,\R/\Z)]). We refer other kinds of gauge anomalies beyond Adler-Bell-Jackiw anomalies as nonABJ gauge anomalies, which include Witten SU(2) global gauge anomaly. We introduce a notion of \pi-cohomology group, H_\pi^{d+1}(BG,R/Z), for the classifying space BG, which is an Abelian group and include Tor[H^{d+1}(G,R/Z)] and topological cohomology group H^{d+1}(BG,R/Z) as subgroups. We argue that H_\pi^{d+1}(BG,R/Z) classifies the bosonic nonABJ gauge anomalies, and partially classifies fermionic nonABJ anomalies. Using the same approach that shows gauge anomalies to be connected to SPT phases, we can also show that gravitational anomalies are connected to topological orders (ie patterns of long-range entanglement) in one-higher dimension.

6.059124

6.650289

7.089675

6.299531

7.366465

6.530616

6.752942

6.331208

6.332629

7.474798

6.372956

6.138487

6.16515

5.843551

5.983536

5.983057

5.944991

5.959969

5.996601

5.8784

5.928553

0805.0403

Branko Dragovich

Some Lagrangians with Zeta Function Nonlocality

11 pages

null

hep-th

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

Some nonlocal and nonpolynomial scalar field models originated from p-adic string theory are considered. Infinite number of spacetime derivatives is governed by the Riemann zeta function through d'Alembertian $\Box$ in its argument. Construction of the corresponding Lagrangians begins with the exact Lagrangian for effective field of p-adic tachyon string, which is generalized replacing p by arbitrary natural number n and then taken a sum of over all n. Some basic classical field properties of these scalar fields are obtained. In particular, some trivial solutions of the equations of motion and their tachyon spectra are presented. Field theory with Riemann zeta function nonlocality is also interesting in its own right.

[ { "created": "Sun, 4 May 2008 11:28:07 GMT", "version": "v1" } ]

2008-05-06

[ [ "Dragovich", "Branko", "" ] ]

Some nonlocal and nonpolynomial scalar field models originated from p-adic string theory are considered. Infinite number of spacetime derivatives is governed by the Riemann zeta function through d'Alembertian $\Box$ in its argument. Construction of the corresponding Lagrangians begins with the exact Lagrangian for effective field of p-adic tachyon string, which is generalized replacing p by arbitrary natural number n and then taken a sum of over all n. Some basic classical field properties of these scalar fields are obtained. In particular, some trivial solutions of the equations of motion and their tachyon spectra are presented. Field theory with Riemann zeta function nonlocality is also interesting in its own right.

12.278488

12.346636

12.290648

11.634213

12.035713

12.219298

12.571842

11.444919

11.154841

12.348016

11.160049

10.943446

12.266816

11.343468

10.883938

11.012436

10.987137

11.186748

10.750379

11.734246

10.819448

hep-th/0412099

Andrei Mironov

A.Alexandrov, A.Mironov and A.Morozov

Unified description of correlators in non-Gaussian phases of Hermitean matrix model

29 pages, LaTeX

Int.J.Mod.Phys.A21:2481-2518,2006

10.1142/S0217751X06029375

null

hep-th

null

Following the program, proposed in hep-th/0310113, of systematizing known properties of matrix model partition functions (defined as solutions to the Virasoro-like sets of linear differential equations), we proceed to consideration of non-Gaussian phases of the Hermitean one-matrix model. A unified approach is proposed for description of "connected correlators" in the form of the phase-independent "check-operators" acting on the small space of T-variables (which parameterize the polynomial W(z)). With appropriate definitions and ordering prescriptions, the multidensity check-operators look very similar to the Gaussian case (however, a reliable proof of suggested explicit expressions in all loops is not yet available, only certain consistency checks are performed).

[ { "created": "Thu, 9 Dec 2004 16:48:38 GMT", "version": "v1" } ]

2009-05-01

[ [ "Alexandrov", "A.", "" ], [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ] ]

Following the program, proposed in hep-th/0310113, of systematizing known properties of matrix model partition functions (defined as solutions to the Virasoro-like sets of linear differential equations), we proceed to consideration of non-Gaussian phases of the Hermitean one-matrix model. A unified approach is proposed for description of "connected correlators" in the form of the phase-independent "check-operators" acting on the small space of T-variables (which parameterize the polynomial W(z)). With appropriate definitions and ordering prescriptions, the multidensity check-operators look very similar to the Gaussian case (however, a reliable proof of suggested explicit expressions in all loops is not yet available, only certain consistency checks are performed).

27.495447

25.376488

29.543684

24.361492

24.427736

24.671545

24.331417

22.459913

24.264727

30.531281

23.977558

23.811161

24.715023

23.111036

22.95727

23.463205

23.233864

23.124762

23.724329

25.902264

23.503696

1905.06409

Hong Lu

Hai-Shan Liu and H. Lu

Action Growth of Dyonic Black Holes and Electromagnetic Duality

Latex, 26 pages, references added

null

10.1007/JHEP09(2019)102

null

hep-th gr-qc

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

Electromagnetic duality of Maxwell theory is a symmetry of equations but not of the action. The usual application of the `complexity=action' conjecture would thus loose this duality. It was recently proposed in arxiv:1901.00014 that the duality can be restored by adding some appropriate boundary term, at the price of introducing the mixed boundary condition in the variation principle. We present universal such a term in both first-order and second-order formalism for a general theory of a minimally-coupled Maxwell field. The first-order formalism has the advantage that the variation principle involves only the Dirichlet boundary condition. Including this term, we compute the on-shell actions in the Wheeler-De Witt patch and find that the duality persists in these actions for a variety of theories, including Einstein-Maxwell, Einstein-Maxwell-Dilaton, Einstein-Born-Infeld and Einstein-Horndeski-Maxwell theories.

[ { "created": "Wed, 15 May 2019 19:38:55 GMT", "version": "v1" }, { "created": "Tue, 28 May 2019 02:16:40 GMT", "version": "v2" } ]

2019-10-02

[ [ "Liu", "Hai-Shan", "" ], [ "Lu", "H.", "" ] ]

Electromagnetic duality of Maxwell theory is a symmetry of equations but not of the action. The usual application of the `complexity=action' conjecture would thus loose this duality. It was recently proposed in arxiv:1901.00014 that the duality can be restored by adding some appropriate boundary term, at the price of introducing the mixed boundary condition in the variation principle. We present universal such a term in both first-order and second-order formalism for a general theory of a minimally-coupled Maxwell field. The first-order formalism has the advantage that the variation principle involves only the Dirichlet boundary condition. Including this term, we compute the on-shell actions in the Wheeler-De Witt patch and find that the duality persists in these actions for a variety of theories, including Einstein-Maxwell, Einstein-Maxwell-Dilaton, Einstein-Born-Infeld and Einstein-Horndeski-Maxwell theories.

8.82413

8.910194

8.81747

7.62507

9.009971

8.435725

8.68782

7.91799

7.753798

9.29917

8.54751

8.581197

8.575411

8.498755

8.821625

8.30457

8.363802

8.315244

8.480832

8.794832

8.406219

2112.09597

Arthur Lipstein

Theresa Abl, Paul Heslop, Arthur E. Lipstein

Higher-Dimensional Symmetry of AdS$_2\times$S$^2$ Correlators

v2. published in JHEP

null

10.1007/JHEP03(2022)076

null

hep-th

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

It was recently shown that IIB supergravity on AdS$_5\times$S$^5$ enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we adapt these two complementary approaches to correlators of hypermultiplets in AdS$_2\times$S$^2$. In particular, we show that 4-point correlators of $1/2$-BPS operators in the 1d boundary can be computed using 4d conformal symmetry and a 4d effective action in the bulk. The 4d conformal symmetry is realised by acting with Casimirs of $SU(1,1|2)$, and is generically broken by higher derivative corrections. We point out similar structure underlying $\alpha'$ corrections to IIB supergravity in AdS$_5\times$S$^5$. In particular, while the $\alpha'^3$ corrections can be written in terms of a sixth order Casimir acting on a 10d conformal block, similar structure does not appear in higher-order corrections. We note however that a specific combination of higher derivative corrections can give rise to Witten diagrams with higher dimensional symmetry at the integrand level, with breaking then arising from the measure.

[ { "created": "Fri, 17 Dec 2021 16:14:51 GMT", "version": "v1" }, { "created": "Mon, 14 Mar 2022 13:34:03 GMT", "version": "v2" } ]

2022-03-30

[ [ "Abl", "Theresa", "" ], [ "Heslop", "Paul", "" ], [ "Lipstein", "Arthur E.", "" ] ]

It was recently shown that IIB supergravity on AdS$_5\times$S$^5$ enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we adapt these two complementary approaches to correlators of hypermultiplets in AdS$_2\times$S$^2$. In particular, we show that 4-point correlators of $1/2$-BPS operators in the 1d boundary can be computed using 4d conformal symmetry and a 4d effective action in the bulk. The 4d conformal symmetry is realised by acting with Casimirs of $SU(1,1|2)$, and is generically broken by higher derivative corrections. We point out similar structure underlying $\alpha'$ corrections to IIB supergravity in AdS$_5\times$S$^5$. In particular, while the $\alpha'^3$ corrections can be written in terms of a sixth order Casimir acting on a 10d conformal block, similar structure does not appear in higher-order corrections. We note however that a specific combination of higher derivative corrections can give rise to Witten diagrams with higher dimensional symmetry at the integrand level, with breaking then arising from the measure.

7.00135

6.692695

7.74851

6.58606

7.000985

6.907716

6.82642

6.678689

6.551661

7.636564

6.582845

6.484674

6.881224

6.437912

6.538857

6.578143

6.561118

6.664213

6.447217

6.819262

6.37885

2405.01433

Leihua Liu

Tao Li and Lei-Hua Liu

Inflationary complexity of thermal state

48 pages, 18 figures, references updated, typos corrected

null

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

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

In this work, we systematically investigate the inflationary complexity of the two-mode squeezed state with thermal effect for the single field inflation, modified dispersion relation, and non-trivial sound speed with the method of closed system and open system, respectively. Since the various quantum gravitational framework could lead to this kind of modified dispersion relation and non-trivial sound speed, so that our analysis is valid for most inflationary models. $(a)$. The numeric of Krylov complexity in the method of the closed system indicates that the evolution of Krylov complexity highly depends on the squeezed angle parameter once taking the thermal effect into account, which will decay into some very tiny values, but the Krylov complexity will always enhance without thermal effect. $(b)$. The numeric of circuit complexity shows that the evolution is always increasing no matter whether there are thermal effects or not which is independent of the evolution of squeezed angle parameter. $(c)$. By utilizing the method of open system, we first construct the wave function. Our investigations show the evolution of Krylov complexity will enhance upon some peaks factoring in the thermal effects and the Krylov complexity will always increase without thermal effect. $(d)$. We also calculate the Krylov entropy in the method of closed system and open system, which indicates that the hotter the universe is, the more chaotic the universe becomes. Furthermore, our derivation for the Krylov complexity and Krylov entropy could nicely recover into the case of closed system under the weak dissipative approximation, which confirms the validity of construction for the wave function. Finally, our numeric of Lanczos coefficient shows that the non-trivial sound speed has minimal chaos compared to the other two cases.

[ { "created": "Thu, 2 May 2024 16:22:59 GMT", "version": "v1" }, { "created": "Mon, 6 May 2024 16:02:58 GMT", "version": "v2" } ]

2024-05-07

[ [ "Li", "Tao", "" ], [ "Liu", "Lei-Hua", "" ] ]

In this work, we systematically investigate the inflationary complexity of the two-mode squeezed state with thermal effect for the single field inflation, modified dispersion relation, and non-trivial sound speed with the method of closed system and open system, respectively. Since the various quantum gravitational framework could lead to this kind of modified dispersion relation and non-trivial sound speed, so that our analysis is valid for most inflationary models. $(a)$. The numeric of Krylov complexity in the method of the closed system indicates that the evolution of Krylov complexity highly depends on the squeezed angle parameter once taking the thermal effect into account, which will decay into some very tiny values, but the Krylov complexity will always enhance without thermal effect. $(b)$. The numeric of circuit complexity shows that the evolution is always increasing no matter whether there are thermal effects or not which is independent of the evolution of squeezed angle parameter. $(c)$. By utilizing the method of open system, we first construct the wave function. Our investigations show the evolution of Krylov complexity will enhance upon some peaks factoring in the thermal effects and the Krylov complexity will always increase without thermal effect. $(d)$. We also calculate the Krylov entropy in the method of closed system and open system, which indicates that the hotter the universe is, the more chaotic the universe becomes. Furthermore, our derivation for the Krylov complexity and Krylov entropy could nicely recover into the case of closed system under the weak dissipative approximation, which confirms the validity of construction for the wave function. Finally, our numeric of Lanczos coefficient shows that the non-trivial sound speed has minimal chaos compared to the other two cases.

11.014426

11.499184

11.214478

10.339747

11.53878

10.80417

11.240204

10.415261

10.527195

11.91209

10.208034

10.646996

10.611894

10.423855

10.520208

10.741323

10.56069

10.563574

10.364071

10.576345

10.501078

0902.2729

Osvaldo Chandia

A Note on T-dualities in the Pure Spinor Heterotic String

References added

JHEP 0904:104,2009

10.1088/1126-6708/2009/04/104

null

hep-th

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

In this note we study the preservation of the classical pure spinor BRST constraints under super T-duality transformations. We also determine the invariance of the one-loop conformal invariance and of the local gauge and Lorentz anomalies under the super T-dualities.

[ { "created": "Mon, 16 Feb 2009 16:32:31 GMT", "version": "v1" }, { "created": "Fri, 20 Feb 2009 14:54:52 GMT", "version": "v2" } ]

2010-12-09

[ [ "Chandia", "Osvaldo", "" ] ]

In this note we study the preservation of the classical pure spinor BRST constraints under super T-duality transformations. We also determine the invariance of the one-loop conformal invariance and of the local gauge and Lorentz anomalies under the super T-dualities.

11.857682

8.64639

14.527003

8.720664

7.627323

8.171011

8.111422

9.389149

8.460471

14.416987

8.423722

9.722075

10.752769

9.332408

9.234715

9.273748

9.031545

8.546792

9.160753

10.985887

8.768634

hep-th/0603196

Ilka Brunner

Ilka Brunner, Matthias R. Gaberdiel, Christoph A. Keller

Matrix factorisations and D-branes on K3

35 pages, no figures

JHEP0606:015,2006

10.1088/1126-6708/2006/06/015

null

hep-th

null

D-branes on K3 are analysed from three different points of view. For deformations of hypersurfaces in weighted projected space we use geometrical methods as well as matrix factorisation techniques. Furthermore, we study the D-branes on the T^4/\Z_4 orbifold line in conformal field theory. The behaviour of the D-branes under deformations of the bulk theory are studied in detail, and good agreement between the different descriptions is found.

[ { "created": "Sun, 26 Mar 2006 20:04:04 GMT", "version": "v1" } ]

2009-11-11

[ [ "Brunner", "Ilka", "" ], [ "Gaberdiel", "Matthias R.", "" ], [ "Keller", "Christoph A.", "" ] ]

D-branes on K3 are analysed from three different points of view. For deformations of hypersurfaces in weighted projected space we use geometrical methods as well as matrix factorisation techniques. Furthermore, we study the D-branes on the T^4/\Z_4 orbifold line in conformal field theory. The behaviour of the D-branes under deformations of the bulk theory are studied in detail, and good agreement between the different descriptions is found.

11.071166

10.248534

11.860939

9.745723

10.425217

10.594484

9.807017

9.106628

9.307623

11.69926

9.281096

8.82754

10.183761

9.126

9.12257

8.729674

8.857072

9.054005

8.845565

9.812716

8.780589

1210.4179

Sebastian Halter

Johanna Erdmenger, Sebastian Halter, Carlos Nunez, Gianmassimo Tasinato

Slow-walking inflation

16 pages + appendices; reference added

null

10.1088/1475-7516/2013/01/006

MPP-2012-138; LMU-ASC 74/12

hep-th astro-ph.CO hep-ph

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

We propose a new model of slow-roll inflation in string cosmology, based on warped throat supergravity solutions displaying `walking' dynamics, i.e. the coupling constant of the dual gauge theory slowly varies over a range of energy scales. The features of the throat geometry are sourced by a rich field content, given by the dilaton and RR and NS fluxes. By considering the motion of a D3-brane probe in this geometry, we are able to analytically calculate the brane potential in a physically interesting regime. This potential has an inflection point: in its proximity we realize a model of inflation lasting sixty e-foldings, and whose robust predictions are in agreement with current observations. We are also able to interpret some of the most interesting aspects of this scenario in terms of the properties of the QFT dual theory.

[ { "created": "Mon, 15 Oct 2012 20:05:30 GMT", "version": "v1" }, { "created": "Sat, 27 Oct 2012 18:38:50 GMT", "version": "v2" } ]

2015-06-11

[ [ "Erdmenger", "Johanna", "" ], [ "Halter", "Sebastian", "" ], [ "Nunez", "Carlos", "" ], [ "Tasinato", "Gianmassimo", "" ] ]

We propose a new model of slow-roll inflation in string cosmology, based on warped throat supergravity solutions displaying `walking' dynamics, i.e. the coupling constant of the dual gauge theory slowly varies over a range of energy scales. The features of the throat geometry are sourced by a rich field content, given by the dilaton and RR and NS fluxes. By considering the motion of a D3-brane probe in this geometry, we are able to analytically calculate the brane potential in a physically interesting regime. This potential has an inflection point: in its proximity we realize a model of inflation lasting sixty e-foldings, and whose robust predictions are in agreement with current observations. We are also able to interpret some of the most interesting aspects of this scenario in terms of the properties of the QFT dual theory.

10.521184

10.374703

11.065669

10.663801

10.633733

11.146833

10.57612

10.014361

9.924707

11.282341

10.211148

10.317356

10.484493

10.1469

10.485224

10.353603

10.228937

10.262754

10.440632

10.864472

10.1239

hep-th/0611333

J. David Vergara

Vladimir Cuesta, Merced Montesinos, Jose David Vergara

Gauge systems with noncommutative phase space

5 pages

null

hep-th

null

Some very simple models of gauge systems with noncanonical symplectic structures having $sl(2,r)$ as the gauge algebra are given. The models can be interpreted as noncommutative versions of the usual $SL(2,\mathbb{R})$ model of Montesinos-Rovelli-Thiemann. The symplectic structures of the noncommutative models, the first-class constraints, and the equations of motion are those of the usual $SL(2,\mathbb{R})$ plus additional terms that involve the parameters $\theta^{\mu\nu}$ which encode the noncommutativity among the coordinates plus terms that involve the parameters $\Theta_{\mu\nu}$ associated with the noncommutativity among the momenta. Particularly interesting is the fact that the new first-class constraints get corrections linear and quadratic in the parameters $\theta^{\mu\nu}$ and $\Theta_{\mu\nu}$. The current constructions show that noncommutativity of coordinates and momenta can coexist with a gauge theory by explicitly building models that encode these properties. This is the first time models of this kind are reported which might be significant and interesting to the noncommutative community.

[ { "created": "Wed, 29 Nov 2006 21:15:19 GMT", "version": "v1" } ]

2007-05-23

[ [ "Cuesta", "Vladimir", "" ], [ "Montesinos", "Merced", "" ], [ "Vergara", "Jose David", "" ] ]

Some very simple models of gauge systems with noncanonical symplectic structures having $sl(2,r)$ as the gauge algebra are given. The models can be interpreted as noncommutative versions of the usual $SL(2,\mathbb{R})$ model of Montesinos-Rovelli-Thiemann. The symplectic structures of the noncommutative models, the first-class constraints, and the equations of motion are those of the usual $SL(2,\mathbb{R})$ plus additional terms that involve the parameters $\theta^{\mu\nu}$ which encode the noncommutativity among the coordinates plus terms that involve the parameters $\Theta_{\mu\nu}$ associated with the noncommutativity among the momenta. Particularly interesting is the fact that the new first-class constraints get corrections linear and quadratic in the parameters $\theta^{\mu\nu}$ and $\Theta_{\mu\nu}$. The current constructions show that noncommutativity of coordinates and momenta can coexist with a gauge theory by explicitly building models that encode these properties. This is the first time models of this kind are reported which might be significant and interesting to the noncommutative community.

6.880062

6.710339

6.756374

6.3221

7.003025

6.921331

6.691148

6.496178

6.592056

7.364993

6.505563

6.578326

6.599203

6.550831

6.488989

6.407268

6.563761

6.5014

6.676126

6.614614

6.640476

0712.2557

Wenfeng Chen WFC

W.F. Chen

A Note on the Radiatively Induced Lorentz and CPT Violated Chern-Simons-like Term in the Extended Quantum Electrodynamics

9 pages, RevTex 4, no figure, some misprints are corrected

null

hep-th

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

We show that the ambiguity for the Chern-Simons-like term induced from quantum correction in the extended QED should have nothing to do with the approximation on the exact fermionic propagator, contradictory to the claim in Ref.[19]. Further, we investigate the induced Chern-Simons-like term using the original 't Hooft-Veltman dimensional regularization and reproduce the result obtained by gauge symmetry analysis. This fact demonstrates that the origin of the ambiguity should lie in different choices on regularization schemes.

[ { "created": "Sun, 16 Dec 2007 06:13:00 GMT", "version": "v1" }, { "created": "Thu, 9 Jul 2009 23:42:34 GMT", "version": "v2" } ]

2009-07-10

[ [ "Chen", "W. F.", "" ] ]

We show that the ambiguity for the Chern-Simons-like term induced from quantum correction in the extended QED should have nothing to do with the approximation on the exact fermionic propagator, contradictory to the claim in Ref.[19]. Further, we investigate the induced Chern-Simons-like term using the original 't Hooft-Veltman dimensional regularization and reproduce the result obtained by gauge symmetry analysis. This fact demonstrates that the origin of the ambiguity should lie in different choices on regularization schemes.

15.762466

13.387964

13.212961

13.3193

13.053823

13.678137

13.137976

13.453709

12.424466

14.25701

12.903739

13.492793

13.809964

13.067004

14.126954

13.756753

13.386576

13.107274

13.425966

13.291134

13.348751

hep-th/0005064

Toyohiro Tsurumaru

Toyohiro Tsurumaru, Izumi Tsutsui, Akira Fujii

Instantons, Monopoles and the Flux Quantization in the Faddeev-Niemi Decomposition

Tex, 12 pages, 3 figures (eps), references added

Nucl.Phys. B589 (2000) 659-668

10.1016/S0550-3213(00)00538-1

KEK Preprint 2000-18

hep-th

null

We study how instantons arise in the low energy effective theory of the SU(2) Yang-Mills theory in the context of the non-linear sigma model recently propose by Faddeev and Niemi. We find a simple relation between the instanton number $\nu$ and the charge m of the monopole that appears in the effective theory. It is given by $\nu = m \Phi/(2\pi)$, where $\Phi$ is the quantized flux associated with a U(1) gauge field passing through the loop formed by the singularity of the monopole.

[ { "created": "Mon, 8 May 2000 06:11:53 GMT", "version": "v1" }, { "created": "Tue, 9 May 2000 05:21:58 GMT", "version": "v2" }, { "created": "Tue, 23 May 2000 04:38:35 GMT", "version": "v3" } ]

2009-10-31

[ [ "Tsurumaru", "Toyohiro", "" ], [ "Tsutsui", "Izumi", "" ], [ "Fujii", "Akira", "" ] ]

We study how instantons arise in the low energy effective theory of the SU(2) Yang-Mills theory in the context of the non-linear sigma model recently propose by Faddeev and Niemi. We find a simple relation between the instanton number $\nu$ and the charge m of the monopole that appears in the effective theory. It is given by $\nu = m \Phi/(2\pi)$, where $\Phi$ is the quantized flux associated with a U(1) gauge field passing through the loop formed by the singularity of the monopole.

6.314816

5.799089

6.514926

5.684145

5.244648

5.525623

5.785357

5.648068

5.682852

6.597996

5.521578

5.69188

6.12947

5.940135

5.814291

5.916423

5.695063

5.722678

5.834772

6.027804

5.756733

hep-th/0303233

null

S.L.Dubovsky, S.M.Sibiryakov

Domain walls between gauge theories

Final version; minor corrections; to appear in Nucl.Phys.B

Nucl.Phys. B664 (2003) 407-438

10.1016/S0550-3213(03)00407-3

null

hep-th

null

Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory: the U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the N-th vacuum coincides with the U(N) noncommutative gauge theory. We construct noncommutative domain walls on fuzzy cylinder, separating vacua with different gauge theories. These domain walls are solutions of BPS equations in gauge theory with an extra term stabilizing the radius of the cylinder. We study properties of the domain walls using adjoint scalar and fundamental fermion fields as probes. We show that the regions on different sides of the wall are not disjoint even in the low energy regime -- there are modes penetrating from one region to the other. We find that the wall supports a chiral fermion zero mode. Also, we study non-BPS solution representing a wall and an antiwall, and show that this solution is unstable. We suggest that the domain walls emerge as solutions of matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. In the M-theory language, the domain walls have an interpretation of a stack of branes of fingerstall shape inserted into a stack of cylindrical branes.

[ { "created": "Wed, 26 Mar 2003 20:46:09 GMT", "version": "v1" }, { "created": "Mon, 16 Jun 2003 11:10:46 GMT", "version": "v2" } ]

2009-11-10

[ [ "Dubovsky", "S. L.", "" ], [ "Sibiryakov", "S. M.", "" ] ]

Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory: the U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the N-th vacuum coincides with the U(N) noncommutative gauge theory. We construct noncommutative domain walls on fuzzy cylinder, separating vacua with different gauge theories. These domain walls are solutions of BPS equations in gauge theory with an extra term stabilizing the radius of the cylinder. We study properties of the domain walls using adjoint scalar and fundamental fermion fields as probes. We show that the regions on different sides of the wall are not disjoint even in the low energy regime -- there are modes penetrating from one region to the other. We find that the wall supports a chiral fermion zero mode. Also, we study non-BPS solution representing a wall and an antiwall, and show that this solution is unstable. We suggest that the domain walls emerge as solutions of matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. In the M-theory language, the domain walls have an interpretation of a stack of branes of fingerstall shape inserted into a stack of cylindrical branes.

11.248394

11.067237

11.872987

10.586225

10.360974

10.490593

11.214234

11.12707

9.658359

12.429391

10.771793

10.369992

10.886967

10.234008

10.668167

10.575132

10.63784

10.330725

10.757147

10.705512

10.44673

2203.08164

Brian McPeak

Johan Henriksson, Brian McPeak, Francesco Russo, Alessandro Vichi

Bounding Violations of the Weak Gravity Conjecture

55 pp

null

10.1007/JHEP08(2022)184

null

hep-th gr-qc hep-ph

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

The black hole weak gravity conjecture (WGC) is a set of linear inequalities on the four-derivative corrections to Einstein--Maxwell theory. Remarkably, in four dimensions, these combinations appear in the $2 \to 2$ photon amplitudes, leading to the hope that the conjecture might be supported using dispersion relations. However, the presence of a pole arising in the forward limit due to graviton exchange greatly complicates the use of such arguments. In this paper, we apply recently developed numerical techniques to handle the graviton pole, and we find that standard dispersive arguments are not strong enough to imply the black hole WGC. Specifically, under a fairly typical set of assumptions, including weak coupling of the EFT and Regge boundedness, a small violation of the black hole WGC is consistent with unitarity and causality. We quantify the size of this violation, which vanishes in the limit where gravity decouples and also depends logarithmically on an infrared cutoff. We discuss the meaning of these bounds in various scenarios. We also implement a method for bounding amplitudes without manifestly positive spectral densities, which could be applied to any system of non-identical states, and we use it to improve bounds on the EFT of pure photons in absence of gravity.

[ { "created": "Tue, 15 Mar 2022 18:00:03 GMT", "version": "v1" }, { "created": "Wed, 6 Apr 2022 18:58:30 GMT", "version": "v2" } ]

2022-09-07

[ [ "Henriksson", "Johan", "" ], [ "McPeak", "Brian", "" ], [ "Russo", "Francesco", "" ], [ "Vichi", "Alessandro", "" ] ]

The black hole weak gravity conjecture (WGC) is a set of linear inequalities on the four-derivative corrections to Einstein--Maxwell theory. Remarkably, in four dimensions, these combinations appear in the $2 \to 2$ photon amplitudes, leading to the hope that the conjecture might be supported using dispersion relations. However, the presence of a pole arising in the forward limit due to graviton exchange greatly complicates the use of such arguments. In this paper, we apply recently developed numerical techniques to handle the graviton pole, and we find that standard dispersive arguments are not strong enough to imply the black hole WGC. Specifically, under a fairly typical set of assumptions, including weak coupling of the EFT and Regge boundedness, a small violation of the black hole WGC is consistent with unitarity and causality. We quantify the size of this violation, which vanishes in the limit where gravity decouples and also depends logarithmically on an infrared cutoff. We discuss the meaning of these bounds in various scenarios. We also implement a method for bounding amplitudes without manifestly positive spectral densities, which could be applied to any system of non-identical states, and we use it to improve bounds on the EFT of pure photons in absence of gravity.

9.459245

9.886605

10.298025

8.963121

9.456719

9.540035

10.041938

9.437014

8.810938

10.874761

9.025269

9.006701

9.414504

8.967329

8.998563

9.05824

8.995185

8.880532

8.940053

9.432821

8.835346

0705.0319

Salvatore Capozziello

A. Capolupo, S. Capozziello, G. Vitiello

Dark energy, cosmological constant and neutrino mixing

10 pages, 2 figures

Int.J.Mod.Phys.A23:4979-4990,2009

10.1142/S0217751X08042857

null

hep-th gr-qc

null

The today estimated value of dark energy can be achieved by the vacuum condensate induced by neutrino mixing phenomenon. Such a tiny value is recovered for a cut-off of the order of Planck scale and it is linked to the sub eV neutrino mass scale. Contributions to dark energy from auxiliary fields or mechanisms are not necessary in this approach.

[ { "created": "Wed, 2 May 2007 16:06:21 GMT", "version": "v1" } ]

2014-11-18

[ [ "Capolupo", "A.", "" ], [ "Capozziello", "S.", "" ], [ "Vitiello", "G.", "" ] ]

The today estimated value of dark energy can be achieved by the vacuum condensate induced by neutrino mixing phenomenon. Such a tiny value is recovered for a cut-off of the order of Planck scale and it is linked to the sub eV neutrino mass scale. Contributions to dark energy from auxiliary fields or mechanisms are not necessary in this approach.

23.396856

16.922354

16.049393

16.243332

16.10014

17.042562

15.871456

15.569277

16.342852

17.452799

18.374819

17.286119

17.398224

18.147665

17.344948

17.874176

16.853289

16.771547

17.745052

16.162434

18.499678

0707.1595

Eran Palti

Low Energy Supersymmetry from Non-Geometry

36pp; v2 references added, minor clarifications, JHEP version

JHEP 0710:011,2007

10.1088/1126-6708/2007/10/011

null

hep-th

null

We study a class of flux compactifications that have all the moduli stabilised, a high (GUT) string scale and a low (TeV) gravitino mass that is generated dynamically. These non-geometric compactifications correspond to type II string theories on SU(3)xSU(3) structure orientifolds. The resulting superpotentials admit, excluding non-perturbative effects, supersymmetric Minkowski vacua with any number of moduli stabilised. We argue that non-perturbative effects are present and introduce terms in the superpotential that are exponentially suppressed by the same moduli that appear perturbatively. These deform the supersymmetric Minkowski vacua to supersymmetric AdS vacua with an exponentially small gravitino mass. The resulting vacua allow for low scale supersymmetry breaking which can be realised by a number of mechanisms.

[ { "created": "Wed, 11 Jul 2007 11:15:51 GMT", "version": "v1" }, { "created": "Mon, 1 Oct 2007 17:10:56 GMT", "version": "v2" } ]

2009-04-30

[ [ "Palti", "Eran", "" ] ]

We study a class of flux compactifications that have all the moduli stabilised, a high (GUT) string scale and a low (TeV) gravitino mass that is generated dynamically. These non-geometric compactifications correspond to type II string theories on SU(3)xSU(3) structure orientifolds. The resulting superpotentials admit, excluding non-perturbative effects, supersymmetric Minkowski vacua with any number of moduli stabilised. We argue that non-perturbative effects are present and introduce terms in the superpotential that are exponentially suppressed by the same moduli that appear perturbatively. These deform the supersymmetric Minkowski vacua to supersymmetric AdS vacua with an exponentially small gravitino mass. The resulting vacua allow for low scale supersymmetry breaking which can be realised by a number of mechanisms.

7.080776

7.195834

7.518533

6.494852

6.568681

7.027406

6.506703

6.492558

6.519832

7.790469

6.50348

6.354369

7.295727

6.606212

6.663494

6.532218

6.378674

6.581591

6.54633

7.113137

6.298825

hep-th/9710004

Sunil Mukhi

Orientifolds: The Unique Personality Of Each Spacetime Dimension

harvmac, 15 pages (b), one eps figure; Review based on talks given at Puri (Dec 1996) and Paris (Aug 1997)

null

TIFR/TH/97-54

hep-th

null

I review some recent developments in our understanding of the dynamics of Z_2 orientifolds of type IIA and IIB strings and M-theory. Interesting physical phenomena that occur in each spacetime dimension from 10 to 1 are summarized, along with some relationships to nonperturbative effects and to M- and F-theory. The conceptual aspects that are highlighted are: (i) orientifolds of M-theory, (ii) exceptional gauge symmetry from open strings, (iii) certain similarities between branes and orientifold planes. Some comments are also made on disconnected components of orientifold moduli space.

[ { "created": "Wed, 1 Oct 1997 10:00:42 GMT", "version": "v1" } ]

2007-05-23

[ [ "Mukhi", "Sunil", "" ] ]

I review some recent developments in our understanding of the dynamics of Z_2 orientifolds of type IIA and IIB strings and M-theory. Interesting physical phenomena that occur in each spacetime dimension from 10 to 1 are summarized, along with some relationships to nonperturbative effects and to M- and F-theory. The conceptual aspects that are highlighted are: (i) orientifolds of M-theory, (ii) exceptional gauge symmetry from open strings, (iii) certain similarities between branes and orientifold planes. Some comments are also made on disconnected components of orientifold moduli space.

9.211644

9.442107

10.134456

8.520535

9.915431

9.797553

9.286874

9.050947

9.003331

10.214852

8.679215

8.526577

8.787618

8.383566

8.232027

8.276796

8.63185

8.357802

8.396905

9.124401

8.647256

1201.3471

Emil Akhmedov

E. T. Akhmedov and A. V. Sadofyev

Comparative study of loop contributions in AdS and dS

12 pages. Minor changes, misprints are corrected

null

10.1016/j.physletb.2012.04.061

ITEP-TH-2/12; AEI-2012-004

hep-th gr-qc

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

The generic feature of non-conformal fields in Poincare patch of de Sitter space is the presence of large IR loop corrections even for massive fields. Moreover, in global de Sitter there are loop IR divergences for the massive fields. Naive analytic continuation from de Sitter to Anti-de-Sitter might lead one to conclude that something similar should happen in the latter space as well. However, we show that there are no large IR effects in the one-loop two-point functions in the Poincare patch of Anti-de-Sitter space even for the zero mass minimally coupled scalar fields. As well there are neither large IR effects nor IR divergences in global Anti-de-Sitter space even for the zero mass.

[ { "created": "Tue, 17 Jan 2012 10:16:49 GMT", "version": "v1" }, { "created": "Fri, 10 Feb 2012 11:46:55 GMT", "version": "v2" } ]

2015-06-03

[ [ "Akhmedov", "E. T.", "" ], [ "Sadofyev", "A. V.", "" ] ]

The generic feature of non-conformal fields in Poincare patch of de Sitter space is the presence of large IR loop corrections even for massive fields. Moreover, in global de Sitter there are loop IR divergences for the massive fields. Naive analytic continuation from de Sitter to Anti-de-Sitter might lead one to conclude that something similar should happen in the latter space as well. However, we show that there are no large IR effects in the one-loop two-point functions in the Poincare patch of Anti-de-Sitter space even for the zero mass minimally coupled scalar fields. As well there are neither large IR effects nor IR divergences in global Anti-de-Sitter space even for the zero mass.

7.284588

6.785964

7.462031

6.755051

6.76047

6.750766

7.013439

6.639419

6.648332

8.153152

6.65147

7.020436

6.915874

6.895372

6.950849

6.873939

7.15215

7.012289

6.842049

7.068586

6.880638

2111.05295

Marcel Hughes

Bin Guo, Marcel R. R. Hughes, Samir D. Mathur, Madhur Mehta

Contrasting the fuzzball and wormhole paradigms for black holes

79 pages, 20 figures; v2: some references modified and clarifications added

null

hep-th

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

We examine an interesting set of recent proposals describing a `wormhole paradigm' for black holes. These proposals require that in some effective variables, semiclassical low-energy dynamics emerges at the horizon. We prove the `effective small corrections theorem' to show that such an effective horizon behavior is not compatible with the requirement that the black hole radiate like a piece of coal as seen from outside. This theorem thus concretizes the fact that the proposals within the wormhole paradigm require some nonlocality linking the hole and its distant radiation. We try to illustrate various proposals for nonlocality by making simple bit models to encode the nonlocal effects. In each case, we find either nonunitarity of evolution in the black hole interior or a nonlocal Hamiltonian interaction between the hole and infinity; such an interaction is not present for burning coal. We examine recent arguments about the Page curve and observe that the quantity that is argued to follow the Page curve of a normal body is not the entanglement entropy but a different quantity. It has been suggested that this replacement of the quantity to be computed arises from the possibility of topology change in gravity which can generate replica wormholes. We examine the role of topology change in quantum gravity but do not find any source of connections between different replica copies in the path integral for the R\'{e}nyi entropy. We also contrast the wormhole paradigm with the fuzzball paradigm, where the fuzzball does radiate like a piece of coal. Just as in the case of a piece of coal, the fuzzball does not have low-energy semiclassical dynamics at its surface at energies $E\sim T$ (effective dynamics at energies $E\gg T$ is possible under the conjecture of fuzzball complementarity, but these $E\gg T$ modes have no relevance to the Page curve or the information paradox).

[ { "created": "Tue, 9 Nov 2021 17:56:57 GMT", "version": "v1" }, { "created": "Mon, 15 Nov 2021 16:52:36 GMT", "version": "v2" } ]

2021-11-16

[ [ "Guo", "Bin", "" ], [ "Hughes", "Marcel R. R.", "" ], [ "Mathur", "Samir D.", "" ], [ "Mehta", "Madhur", "" ] ]

We examine an interesting set of recent proposals describing a `wormhole paradigm' for black holes. These proposals require that in some effective variables, semiclassical low-energy dynamics emerges at the horizon. We prove the `effective small corrections theorem' to show that such an effective horizon behavior is not compatible with the requirement that the black hole radiate like a piece of coal as seen from outside. This theorem thus concretizes the fact that the proposals within the wormhole paradigm require some nonlocality linking the hole and its distant radiation. We try to illustrate various proposals for nonlocality by making simple bit models to encode the nonlocal effects. In each case, we find either nonunitarity of evolution in the black hole interior or a nonlocal Hamiltonian interaction between the hole and infinity; such an interaction is not present for burning coal. We examine recent arguments about the Page curve and observe that the quantity that is argued to follow the Page curve of a normal body is not the entanglement entropy but a different quantity. It has been suggested that this replacement of the quantity to be computed arises from the possibility of topology change in gravity which can generate replica wormholes. We examine the role of topology change in quantum gravity but do not find any source of connections between different replica copies in the path integral for the R\'{e}nyi entropy. We also contrast the wormhole paradigm with the fuzzball paradigm, where the fuzzball does radiate like a piece of coal. Just as in the case of a piece of coal, the fuzzball does not have low-energy semiclassical dynamics at its surface at energies $E\sim T$ (effective dynamics at energies $E\gg T$ is possible under the conjecture of fuzzball complementarity, but these $E\gg T$ modes have no relevance to the Page curve or the information paradox).

12.648602

12.587528

14.509056

12.692151

14.078648

12.978065

13.543516

13.03796

12.41656

15.396158

11.948545

12.064317

12.522169

12.417171

12.365528

12.771145

12.363966

12.585899

12.157842

12.910351

12.080714

1502.04008

Anzor Khelashvili A.

Anzor Khelashvili and Teimuraz Nadareishvili

Singular Behavior of the Laplace Operator in Polar Spherical Coordinates and Some of Its Consequences for the Radial Wave Function at the Origin of Coordinates

23 pages

Physics of Particles and Nuclei Letters. vol.12.pp11-25 (2015)

10.1134/S1547477115010148

null

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

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

Singular behavior of the Laplace operator in spherical coordinates is investigated. It is shown that in course of transition to the reduced radial wave function in the Schrodinger equation there appears additional term consisting the Dirac delta function, which was unnoted during the full history of physics and mathematics. The possibility of avoiding this contribution from the reduced radial equation is discussed. It is demonstrated that for this aim the necessary and sufficient condition is requirement the fast enough falling of the wave function at the origin. The result does not depend on character of potential:is it regular or singular. The various manifestations and consequences of this observation are considered as well. The cornerstone in our approach is the natural requirement that the solution of the radial equation at the same time must obey to the full equation.

[ { "created": "Fri, 13 Feb 2015 14:43:21 GMT", "version": "v1" } ]

2015-06-23

[ [ "Khelashvili", "Anzor", "" ], [ "Nadareishvili", "Teimuraz", "" ] ]

Singular behavior of the Laplace operator in spherical coordinates is investigated. It is shown that in course of transition to the reduced radial wave function in the Schrodinger equation there appears additional term consisting the Dirac delta function, which was unnoted during the full history of physics and mathematics. The possibility of avoiding this contribution from the reduced radial equation is discussed. It is demonstrated that for this aim the necessary and sufficient condition is requirement the fast enough falling of the wave function at the origin. The result does not depend on character of potential:is it regular or singular. The various manifestations and consequences of this observation are considered as well. The cornerstone in our approach is the natural requirement that the solution of the radial equation at the same time must obey to the full equation.

14.911564

15.714365

13.239474

13.517715

13.669171

14.598611

14.85366

13.907167

14.615121

14.781717

14.44981

13.5396

13.150172

13.007062

12.858121

13.434819

12.703342

13.315607

13.1554

13.388509

13.52265

hep-th/0010005

Christian Schubert

B. Eden, C. Schubert, E. Sokatchev

Four - Point Functions of Chiral Primary Operators in N=4 SYM

7 pages, talk given by C. Schubert at "Quantization, Gauge Theory and Strings", dedicated to the memory of E.S. Fradkin, Moscow, June 5-10, 2000

null

LAPTH-Conf-814/99

hep-th

null

We discuss recent progress in the determination of correlators of chiral primary operators in N=4 Super-Yang-Mills theory, based on a combination of superconformal covariance arguments in N=2 harmonic superspace, and Intriligator's insertion formula. Applying this technique to the calculation of the supercurrent four - point function we obtain a compact and explicit result for its three-loop contribution with comparatively little effort.

[ { "created": "Sun, 1 Oct 2000 14:19:43 GMT", "version": "v1" } ]

2007-05-23

[ [ "Eden", "B.", "" ], [ "Schubert", "C.", "" ], [ "Sokatchev", "E.", "" ] ]

We discuss recent progress in the determination of correlators of chiral primary operators in N=4 Super-Yang-Mills theory, based on a combination of superconformal covariance arguments in N=2 harmonic superspace, and Intriligator's insertion formula. Applying this technique to the calculation of the supercurrent four - point function we obtain a compact and explicit result for its three-loop contribution with comparatively little effort.

13.520786

11.538753

16.156319

11.030694

11.180378

11.402409

11.050837

10.483131

11.270934

15.766473

10.617117

11.085659

13.450261

11.67641

11.403732

11.206331

11.544644

11.515351

11.490222

13.653658

11.458307

1301.6020

Milena Smolic

Holography and hydrodynamics for EMD theory with two Maxwell fields

50 pages, no figures

null

10.1007/JHEP03(2013)124

null

hep-th

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

We use `generalized dimensional reduction' to relate a specific Einstein-Maxwell-Dilaton (EMD) theory, including two gauge fields, three neutral scalars and an axion, to higher-dimensional AdS gravity (with no higher-dimensional Maxwell field). In general, this is a dimensional reduction over compact Einstein spaces in which the dimension of the compact space is continued to non-integral values. Specifically, we perform a non-diagonal Kaluza-Klein (KK) reduction over a torus, involving two KK gauge fields. Our aim is to determine the holographic dictionary and hydrodynamic behaviour of the lower-dimensional theory by performing the generalized dimensional reduction on AdS. We study a specific example of a black brane carrying a wave, whose universal sector is described by gravity coupled to two Maxwell fields, three neutral scalars and an axion, and compute the first order transport coefficients of the dual theory. In these theories $\hat{\z}_s / \hat{\eta} < 2(1(d-1)-\hat{c}_s^2)$, where $\hat{c}_s$ is the speed of sound, violating a conjectured bound, but an alternative bound is satisfied.

[ { "created": "Fri, 25 Jan 2013 11:54:28 GMT", "version": "v1" } ]

2015-06-12

[ [ "Smolic", "Milena", "" ] ]

We use `generalized dimensional reduction' to relate a specific Einstein-Maxwell-Dilaton (EMD) theory, including two gauge fields, three neutral scalars and an axion, to higher-dimensional AdS gravity (with no higher-dimensional Maxwell field). In general, this is a dimensional reduction over compact Einstein spaces in which the dimension of the compact space is continued to non-integral values. Specifically, we perform a non-diagonal Kaluza-Klein (KK) reduction over a torus, involving two KK gauge fields. Our aim is to determine the holographic dictionary and hydrodynamic behaviour of the lower-dimensional theory by performing the generalized dimensional reduction on AdS. We study a specific example of a black brane carrying a wave, whose universal sector is described by gravity coupled to two Maxwell fields, three neutral scalars and an axion, and compute the first order transport coefficients of the dual theory. In these theories $\hat{\z}_s / \hat{\eta} < 2(1(d-1)-\hat{c}_s^2)$, where $\hat{c}_s$ is the speed of sound, violating a conjectured bound, but an alternative bound is satisfied.

10.116871

10.473807

11.270442

10.018332

10.199888

10.689689

10.026313

10.417582

9.617133

11.939213

9.544324

9.887159

9.955132

9.463527

9.448442

9.716332

9.585753

9.521854

9.416874

9.911081

9.65317

1107.3157

Sarah Folkerts

Sarah Folkerts, Alexander Pritzel and Nico Wintergerst

On ghosts in theories of self-interacting massive spin-2 particles

13 pages, no figures; v2: references adjusted

null

LMU-ASC 30/11

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

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

We consider general theories of a massive spin-2 particle $h_{\mu\nu}$ on a Minkowski background. A decomposition of $h_{\mu\nu}$ in terms of helicity eigenstates allows us to directly test whether any given theory possesses a consistent description as a massive spin-2 representation of the Poincar\'e group. We demonstrate (i) that any nonlinear theory with an Einsteinian derivative structure either contains ghosts or does not describe a weakly coupled spin-2 and (ii) that there exists a two-parameter family of non-Einsteinian cubic self-interactions which constitute a ghost-free massive spin-2 theory.

[ { "created": "Fri, 15 Jul 2011 20:06:55 GMT", "version": "v1" }, { "created": "Tue, 2 Aug 2011 17:15:04 GMT", "version": "v2" } ]

2011-08-03

[ [ "Folkerts", "Sarah", "" ], [ "Pritzel", "Alexander", "" ], [ "Wintergerst", "Nico", "" ] ]

We consider general theories of a massive spin-2 particle $h_{\mu\nu}$ on a Minkowski background. A decomposition of $h_{\mu\nu}$ in terms of helicity eigenstates allows us to directly test whether any given theory possesses a consistent description as a massive spin-2 representation of the Poincar\'e group. We demonstrate (i) that any nonlinear theory with an Einsteinian derivative structure either contains ghosts or does not describe a weakly coupled spin-2 and (ii) that there exists a two-parameter family of non-Einsteinian cubic self-interactions which constitute a ghost-free massive spin-2 theory.

7.079524

6.777813

6.596451

6.225551

6.89366

7.194974

6.676903

6.506158

6.202066

7.18421

6.562359

6.860448

6.210968

6.278671

6.520571

6.589788

6.50088

6.466935

6.265512

6.412942

6.356046

1012.3736

Andrea Borghese

Andrea Borghese, Diederik Roest

Metastable supersymmetry breaking in extended supergravity

27 pages. v2 correct replacement: typos corrected and clarifications added on gauge invariance and dependence on SUSY mass terms

JHEP05(2011)102

10.1007/JHEP05(2011)102

null

hep-th

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

We consider the stability of non-supersymmetric critical points of general N=4 supergravities. A powerful method to analyse this issue based on the sGoldstino direction has been developed for minimal supergravity. We adapt this to the present case, and address the conceptually new features arising for extended supersymmetry. As an application, we investigate the stability when supersymmetry breaking proceeds via either the gravity or the matter sector. Finally, we outline the N=8 case.

[ { "created": "Thu, 16 Dec 2010 20:29:25 GMT", "version": "v1" }, { "created": "Wed, 27 Jul 2011 09:03:48 GMT", "version": "v2" }, { "created": "Thu, 28 Jul 2011 11:40:12 GMT", "version": "v3" } ]

2011-07-29

[ [ "Borghese", "Andrea", "" ], [ "Roest", "Diederik", "" ] ]

We consider the stability of non-supersymmetric critical points of general N=4 supergravities. A powerful method to analyse this issue based on the sGoldstino direction has been developed for minimal supergravity. We adapt this to the present case, and address the conceptually new features arising for extended supersymmetry. As an application, we investigate the stability when supersymmetry breaking proceeds via either the gravity or the matter sector. Finally, we outline the N=8 case.

14.293226

11.94966

14.191998

12.532999

11.257616

11.368604

12.363612

11.589817

11.717508

13.931895

11.478149

12.731024

13.664974

12.631611

12.698809

13.009261

12.489336

12.616622

12.647977

12.933482

12.714903

hep-th/9903186

Andreas Brandhuber

Mohsen Alishahiha, Andreas Brandhuber and Yaron Oz

Branes at Singularities in Type 0 String Theory

18 pages, uses BibTeX, ssg.bst

JHEP 9905:024,1999

10.1088/1126-6708/1999/05/024

CERN-TH/99-72

hep-th

null

We consider Type 0B D3-branes placed at conical singularities and analyze in detail the conifold singularity. We study the non supersymmetric gauge theories on their worldvolume and their conjectured dual gravity descriptions. In the ultraviolet the solutions exhibit a logarithmic running of the gauge coupling. In the infrared we find confining solutions and IR fixed points.

[ { "created": "Mon, 22 Mar 1999 11:33:32 GMT", "version": "v1" } ]

2009-10-31

[ [ "Alishahiha", "Mohsen", "" ], [ "Brandhuber", "Andreas", "" ], [ "Oz", "Yaron", "" ] ]

We consider Type 0B D3-branes placed at conical singularities and analyze in detail the conifold singularity. We study the non supersymmetric gauge theories on their worldvolume and their conjectured dual gravity descriptions. In the ultraviolet the solutions exhibit a logarithmic running of the gauge coupling. In the infrared we find confining solutions and IR fixed points.

11.32199

7.38544

10.739634

8.243605

7.760528

7.133952

7.554284

8.491371

7.677356

12.785619

7.991597

8.533521

9.974897

8.728307

8.560427

8.24053

8.331606

8.790644

8.640532

9.562352

8.907618

2303.15590

Amir Raz

Saba Asif Baig, Jacques Distler, Andreas Karch, Amir Raz, Hao-Yu Sun

Spacetime Subsystem Symmetries

7 pages. V2: references added, minor error fixed

null

UTWI-07-2023

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

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

One characteristic feature of many fractonic lattice models, and a defining property of the exotic field theories developed to describe them, are subsystem symmetries including a conservation of not just net electric charge but also electric dipole moments or charges living on submanifolds. So far all such theories were based on internal subsystem symmetries. In this work we generalize the notion of subsystem symmetries to system with subsystem spacetime symmetries with locally conserved energies.

[ { "created": "Mon, 27 Mar 2023 20:45:30 GMT", "version": "v1" }, { "created": "Tue, 9 May 2023 16:53:56 GMT", "version": "v2" } ]

2023-05-10

[ [ "Baig", "Saba Asif", "" ], [ "Distler", "Jacques", "" ], [ "Karch", "Andreas", "" ], [ "Raz", "Amir", "" ], [ "Sun", "Hao-Yu", "" ] ]

One characteristic feature of many fractonic lattice models, and a defining property of the exotic field theories developed to describe them, are subsystem symmetries including a conservation of not just net electric charge but also electric dipole moments or charges living on submanifolds. So far all such theories were based on internal subsystem symmetries. In this work we generalize the notion of subsystem symmetries to system with subsystem spacetime symmetries with locally conserved energies.

14.740636

13.674814

15.755824

14.199941

14.267868

13.397879

15.901065

15.208753

14.092746

16.95047

12.575175

13.236331

14.384224

13.12619

13.099679

13.714118

13.299128

13.216272

13.090509

13.471469

13.799293

hep-th/9405014

Anna Koubek

A. Koubek

Form-Factor Bootstrap and the Operator Content of Perturbed Minimal Models

30 pages; 1 section added, some parts slightly rewritten; (accepted for publication by Nucl. Phys. B), DAMTP-HEP-94/15

Nucl.Phys. B428 (1994) 655-680

10.1016/0550-3213(94)90368-9

null

hep-th

null

The form-factor bootstrap approach is applied to the perturbed minimal models $M_{2,2n+3}$ in the direction of the primary field $\phi_{1,3}$. These theories are integrable and contain $n$ massive scalar particles, whose $S$--matrix is purely elastic. The form-factor equations do not refer to a specific operator. We use this fact to classify the operator content of these models. We show that the perturbed models contain the same number of primary fields as the conformal ones. Explicit solutions are constructed and conjectured to correspond to the off-critical primary fields $\phi_{1,k}$.

[ { "created": "Tue, 3 May 1994 09:29:59 GMT", "version": "v1" }, { "created": "Wed, 4 May 1994 13:41:37 GMT", "version": "v2" }, { "created": "Tue, 23 Aug 1994 13:33:22 GMT", "version": "v3" } ]

2009-10-28

[ [ "Koubek", "A.", "" ] ]

The form-factor bootstrap approach is applied to the perturbed minimal models $M_{2,2n+3}$ in the direction of the primary field $\phi_{1,3}$. These theories are integrable and contain $n$ massive scalar particles, whose $S$--matrix is purely elastic. The form-factor equations do not refer to a specific operator. We use this fact to classify the operator content of these models. We show that the perturbed models contain the same number of primary fields as the conformal ones. Explicit solutions are constructed and conjectured to correspond to the off-critical primary fields $\phi_{1,k}$.

9.647632

7.28669

10.171254

7.4553

7.046007

6.640007

7.073675

6.855778

6.605632

11.013447

7.251058

6.923829

9.836179

7.414039

7.207322

6.951473

7.132017

6.999325

7.22581

9.476168

7.408693

2207.12448

Denis Karateev

Hongbin Chen, A. Liam Fitzpatrick, Denis Karateev

Nonperturbative Bounds on Scattering of Massive Scalar Particles in $d \geq 2$

38 pages + appendices, 23 figures

null

10.1007/JHEP12(2022)092

null

hep-th

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

We study two-to-two scattering amplitudes of a scalar particle of mass $m$. For simplicity, we assume the presence of $\mathbb{Z}_2$ symmetry and that the particle is $\mathbb{Z}_2$ odd. We consider two classes of amplitudes: the fully nonperturbative ones and effective field theory (EFT) ones with a cut-off scale $M$. Using the primal numerical method which allows us to impose full non-linear unitarity, we construct novel bounds on various observables in $2 \leq d \leq 4$ space-time dimensions for both classes of amplitudes. We show that our bounds are much stronger than the ones obtained by using linearized unitarity or positivity only. We discuss applications of our bounds to constraining EFTs. Finally, we compare our bounds to the amplitude in $\phi^4$ theory computed perturbatively at weak coupling, and find that they saturate the bounds.

[ { "created": "Mon, 25 Jul 2022 18:03:25 GMT", "version": "v1" } ]

2023-01-04

[ [ "Chen", "Hongbin", "" ], [ "Fitzpatrick", "A. Liam", "" ], [ "Karateev", "Denis", "" ] ]

We study two-to-two scattering amplitudes of a scalar particle of mass $m$. For simplicity, we assume the presence of $\mathbb{Z}_2$ symmetry and that the particle is $\mathbb{Z}_2$ odd. We consider two classes of amplitudes: the fully nonperturbative ones and effective field theory (EFT) ones with a cut-off scale $M$. Using the primal numerical method which allows us to impose full non-linear unitarity, we construct novel bounds on various observables in $2 \leq d \leq 4$ space-time dimensions for both classes of amplitudes. We show that our bounds are much stronger than the ones obtained by using linearized unitarity or positivity only. We discuss applications of our bounds to constraining EFTs. Finally, we compare our bounds to the amplitude in $\phi^4$ theory computed perturbatively at weak coupling, and find that they saturate the bounds.

7.623201

7.317356

7.527615

7.101411

7.349758

7.664059

7.164131

7.199872

6.950066

7.300017

7.23965

7.092451

7.1705

6.904318

7.099027

7.144458

7.225447

7.00632

7.166713

7.232154

7.109659

hep-th/0412019

Hyeong-Chan Kim

Hyeong-Chan Kim, Jae Hyung Yee, and Sang Pyo Kim

New variational perturbation theory based on $q-$deformed oscillator

6pages, no figures, minor corrections

Int.J.Theor.Phys. 45 (2006) 984-993

null

hep-th nucl-th quant-ph

null

A new variational perturbation theory is developed based on the $q-$deformed oscillator. It is shown that the new variational perturbation method provides 200 or 10 times better accuracy for the ground state energy of anharmonic oscillator than the Gaussian and the improved Gaussian approximation, respectively.

[ { "created": "Thu, 2 Dec 2004 07:41:06 GMT", "version": "v1" }, { "created": "Mon, 6 Dec 2004 06:48:57 GMT", "version": "v2" }, { "created": "Thu, 30 Dec 2004 02:21:31 GMT", "version": "v3" }, { "created": "Tue, 12 Apr 2005 03:08:05 GMT", "version": "v4" }, { "created": "Mon, 20 Jun 2005 11:44:42 GMT", "version": "v5" } ]

2007-05-23

[ [ "Kim", "Hyeong-Chan", "" ], [ "Yee", "Jae Hyung", "" ], [ "Kim", "Sang Pyo", "" ] ]

A new variational perturbation theory is developed based on the $q-$deformed oscillator. It is shown that the new variational perturbation method provides 200 or 10 times better accuracy for the ground state energy of anharmonic oscillator than the Gaussian and the improved Gaussian approximation, respectively.

9.831482

8.328472

9.269362

7.51588

8.930265

7.497878

8.239887

8.378036

7.74765

9.766017

7.711884

7.632809

8.18439

8.043796

7.716685

7.908964

7.881432

8.088514

7.641974

8.712567

7.63567

hep-th/0702076

Andrey Martins

A. P. Balachandran, A. G. Martins and P. Teotonio-Sobrinho

Discrete Time Evolution and Energy Nonconservation in Noncommutative Physics

17 pages, LaTex; minor corrections

JHEP 0705:066,2007

10.1088/1126-6708/2007/05/066

SU-4252-844

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

null

Time-space noncommutativity leads to quantisation of time and energy nonconservation when time is conjugate to a compact spatial direction like a circle. In this context energy is conserved only modulo some fixed unit. Such a possibility arises for example in theories with a compact extra dimension with which time does not commute. The above results suggest striking phenomenological consequences in extra dimensional theories and elsewhere. In this paper we develop scattering theory for discrete time translations. It enables the calculation of transition probabilities for energy nonconserving processes and has a central role both in formal theory and phenomenology. We can also consider space-space noncommutativity where one of the spatial directions is a circle. That leads to the quantisation of the remaining spatial direction and conservation of momentum in that direction only modulo some fixed unit, as a simple adaptation of the results in this paper shows.

[ { "created": "Fri, 9 Feb 2007 20:23:41 GMT", "version": "v1" }, { "created": "Sat, 24 Feb 2007 19:58:36 GMT", "version": "v2" } ]

2010-10-27

[ [ "Balachandran", "A. P.", "" ], [ "Martins", "A. G.", "" ], [ "Teotonio-Sobrinho", "P.", "" ] ]

Time-space noncommutativity leads to quantisation of time and energy nonconservation when time is conjugate to a compact spatial direction like a circle. In this context energy is conserved only modulo some fixed unit. Such a possibility arises for example in theories with a compact extra dimension with which time does not commute. The above results suggest striking phenomenological consequences in extra dimensional theories and elsewhere. In this paper we develop scattering theory for discrete time translations. It enables the calculation of transition probabilities for energy nonconserving processes and has a central role both in formal theory and phenomenology. We can also consider space-space noncommutativity where one of the spatial directions is a circle. That leads to the quantisation of the remaining spatial direction and conservation of momentum in that direction only modulo some fixed unit, as a simple adaptation of the results in this paper shows.

11.974605

11.524237

11.912417

11.580432

13.233945

11.762652

11.436411

11.400742

11.192305

12.528372

11.344631

10.881361

11.457125

11.081327

11.058198

11.093431

10.626865

10.633492

10.974965

11.382106

11.449435

hep-th/9812009

Marco Moriconi

A. De Martino, M. Moriconi

Boundary S-matrix for the Gross-Neveu Model

13 pages, latex file, final version to appear in PLB

Phys.Lett. B451 (1999) 354-364

10.1016/S0370-2693(99)00240-3

LPENSL-TH-12/98, IC/98/223

hep-th

null

We study the scattering theory for the Gross-Neveu model on the half-line. We find the reflection matrices for the elementary fermions, and by fusion we compute the ones for the two-particle bound-states, showing that they satisfy non-trivial bootstrap consistency conditions. We also compute more general reflection matrices for the Gross-Neveu model and the nonlinear sigma model, and argue that they correspond to the integrable boundary conditions we identified in our previous paper hep-th/9809178.

[ { "created": "Tue, 1 Dec 1998 18:24:55 GMT", "version": "v1" }, { "created": "Mon, 1 Mar 1999 17:09:01 GMT", "version": "v2" } ]

2009-10-31

[ [ "De Martino", "A.", "" ], [ "Moriconi", "M.", "" ] ]

We study the scattering theory for the Gross-Neveu model on the half-line. We find the reflection matrices for the elementary fermions, and by fusion we compute the ones for the two-particle bound-states, showing that they satisfy non-trivial bootstrap consistency conditions. We also compute more general reflection matrices for the Gross-Neveu model and the nonlinear sigma model, and argue that they correspond to the integrable boundary conditions we identified in our previous paper hep-th/9809178.

8.618207

7.841659

10.308691

7.617255

7.468125

7.847138

8.130045

8.172913

7.590489

9.920829

7.443287

8.188918

10.093126

8.113762

7.776911

7.985801

8.133502

8.040859

7.892952

9.355971

8.025272

2305.11280

Michal P. Heller

Sergio E. Aguilar-Gutierrez, Michal P. Heller and Silke Van der Schueren

Complexity = Anything Can Grow Forever in de Sitter

7 pages, 3 figures

null

hep-th gr-qc

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

Recent developments in anti-de Sitter holography point towards the association of an infinite class of covariant objects, the simplest one being codimension-one extremal volumes, with quantum computational complexity in the microscopic description. One of the defining features of these gravitational complexity proposals is describing the persistent growth of black hole interior in classical gravity. It is tempting to assume that the gravitational complexity proposals apply also to gravity outside their native anti-de Sitter setting in which case they may reveal new truths about these cases with much less understood microscopics. Recent first steps in this direction in de Sitter static patch demonstrated a very different behavior from anti-de Sitter holography deemed hyperfast growth: diverging complexification rate after a finite time. We show that this feature is not a necessity and among gravitational complexity proposals there are ones, which predict linear or exponential late-time growth behaviors for complexity in de Sitter static patches persisting classically forever.

[ { "created": "Thu, 18 May 2023 19:55:45 GMT", "version": "v1" } ]

2023-05-22

[ [ "Aguilar-Gutierrez", "Sergio E.", "" ], [ "Heller", "Michal P.", "" ], [ "Van der Schueren", "Silke", "" ] ]

Recent developments in anti-de Sitter holography point towards the association of an infinite class of covariant objects, the simplest one being codimension-one extremal volumes, with quantum computational complexity in the microscopic description. One of the defining features of these gravitational complexity proposals is describing the persistent growth of black hole interior in classical gravity. It is tempting to assume that the gravitational complexity proposals apply also to gravity outside their native anti-de Sitter setting in which case they may reveal new truths about these cases with much less understood microscopics. Recent first steps in this direction in de Sitter static patch demonstrated a very different behavior from anti-de Sitter holography deemed hyperfast growth: diverging complexification rate after a finite time. We show that this feature is not a necessity and among gravitational complexity proposals there are ones, which predict linear or exponential late-time growth behaviors for complexity in de Sitter static patches persisting classically forever.

23.94487

23.943478

26.924322

22.271566

22.519161

23.685726

25.355961

23.391191

23.386803

30.111172

21.42448

23.254528

24.463961

23.105307

24.1043

24.048882

23.622559

23.271545

23.38698

25.625

23.745268

hep-th/0206042

Ian Kogan

Thibault Damour and Ian I. Kogan

Effective Lagrangians and Universality Classes of Nonlinear Bigravity

41 pages, 4 Figures, final version to be published in Phys.Rev.D

Phys.Rev. D66 (2002) 104024

10.1103/PhysRevD.66.104024

IHES/P/02/35, LPT-Orsay-02/14, OUTP-02/06P

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

null

We discuss the fully non-linear formulation of multigravity. The concept of universality classes of effective Lagrangians describing bigravity, which is the simplest form of multigravity, is introduced. We show that non-linear multigravity theories can naturally arise in several different physical contexts: brane configurations, certain Kaluza-Klein reductions and some non-commutative geometry models. The formal and phenomenological aspects of multigravity (including the problems linked to the linearized theory of massive gravitons) are briefly discussed.

[ { "created": "Wed, 5 Jun 2002 18:44:27 GMT", "version": "v1" }, { "created": "Wed, 23 Oct 2002 17:31:45 GMT", "version": "v2" } ]

2009-11-07

[ [ "Damour", "Thibault", "" ], [ "Kogan", "Ian I.", "" ] ]

We discuss the fully non-linear formulation of multigravity. The concept of universality classes of effective Lagrangians describing bigravity, which is the simplest form of multigravity, is introduced. We show that non-linear multigravity theories can naturally arise in several different physical contexts: brane configurations, certain Kaluza-Klein reductions and some non-commutative geometry models. The formal and phenomenological aspects of multigravity (including the problems linked to the linearized theory of massive gravitons) are briefly discussed.

10.928128

10.909484

10.009964

9.248715

10.556234

9.722761

10.871351

10.577775

10.252324

10.900515

10.305585

9.880198

10.161437

9.795155

10.245727

10.094619

10.467978

9.961857

10.028078

10.103915

9.804848

hep-th/9703006

Juergen Berges

C. Wetterich

Non-Equilibrium Time Evolution in Quantum Field Theory

7 pages, LaTex

Phys.Rev. E56 (1997) 2687-2690

10.1103/PhysRevE.56.2687

HD-THEP-97-7

hep-th

null

The time development of equal-time correlation functions in quantum mechanics and quantum field theory is described by an exact evolution equation for generating functionals. This permits a comparison between classical and quantum evolution in non-equilibrium systems.

[ { "created": "Fri, 28 Feb 1997 13:17:28 GMT", "version": "v1" } ]

2009-10-30

[ [ "Wetterich", "C.", "" ] ]

The time development of equal-time correlation functions in quantum mechanics and quantum field theory is described by an exact evolution equation for generating functionals. This permits a comparison between classical and quantum evolution in non-equilibrium systems.

14.320822

11.463286

11.638133

9.425933

10.594379

10.361702

10.992854

9.372568

8.995716

10.808043

11.433709

10.43043

10.772004

10.638906

10.500437

10.315189

9.891144

10.293212

10.913197

10.44858

11.2925

hep-th/0412078

Vitor Cardoso

Vitor Cardoso, Jos\'e P. S. Lemos

New instability for rotating black branes and strings

4 pages, ReVTeX4. v2: minor improvements

Phys.Lett. B621 (2005) 219-223

10.1016/j.physletb.2005.06.025

null

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

null

The evolution of small perturbations around rotating black branes and strings, which are low energy solutions of string theory, are investigated. For simplicity, we concentrate on the Kerr solution times transverse flat extra dimensions, possibly compactified, but one can also treat other branes composed of any rotating black hole and extra transverse dimensions, as well as analogue black hole models and rotating bodies in fluid mechanics systems. It is shown that such a rotating black brane is unstable against any massless (scalar, vectorial, tensorial or other) field perturbation for a wide range of wavelengths and frequencies in the transverse dimensions. Since it holds for any massless field it can be considered, in this sense, a stronger instability than the one studied by Gregory and Laflamme. Accordingly, it has also a totally different physical origin. The perturbations can be stabilized if the extra dimensions are compactified to a length smaller than the minimum wavelength for which the instability settles in, resembling in this connection the Gregory-Laflamme case. Likewise, this instability will have no effect for astrophysical black holes. However, in the large extra dimensions scenario, where TeV scale black holes can be produced, this instability should be important. It seems plausible that the endpoint of this instability is a static, or very slowly rotating, black brane and some outgoing radiation at infinity.

[ { "created": "Tue, 7 Dec 2004 21:01:44 GMT", "version": "v1" }, { "created": "Sun, 17 Jul 2005 15:33:41 GMT", "version": "v2" } ]

2024-02-05

[ [ "Cardoso", "Vitor", "" ], [ "Lemos", "José P. S.", "" ] ]

The evolution of small perturbations around rotating black branes and strings, which are low energy solutions of string theory, are investigated. For simplicity, we concentrate on the Kerr solution times transverse flat extra dimensions, possibly compactified, but one can also treat other branes composed of any rotating black hole and extra transverse dimensions, as well as analogue black hole models and rotating bodies in fluid mechanics systems. It is shown that such a rotating black brane is unstable against any massless (scalar, vectorial, tensorial or other) field perturbation for a wide range of wavelengths and frequencies in the transverse dimensions. Since it holds for any massless field it can be considered, in this sense, a stronger instability than the one studied by Gregory and Laflamme. Accordingly, it has also a totally different physical origin. The perturbations can be stabilized if the extra dimensions are compactified to a length smaller than the minimum wavelength for which the instability settles in, resembling in this connection the Gregory-Laflamme case. Likewise, this instability will have no effect for astrophysical black holes. However, in the large extra dimensions scenario, where TeV scale black holes can be produced, this instability should be important. It seems plausible that the endpoint of this instability is a static, or very slowly rotating, black brane and some outgoing radiation at infinity.

10.893816

11.09971

11.553174

10.750918

11.776484

11.524157

11.788278

11.520407

10.841169

11.93833

11.226468

10.611168

10.484596

10.377786

10.508759

10.565804

10.60207

10.550692

10.556421

10.938416

10.731564