LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9911042

Dimitrios Tsimpis

Ruben Minasian and Dimitrios Tsimpis

On the geometry of non-trivially embedded branes

18 pages, harvmac. Eq. 4.35 and errors propagating from it corrected

Nucl.Phys. B572 (2000) 499-513

10.1016/S0550-3213(00)00035-3

YCTP-P31-99

hep-th

null

We present a formal supersymmetric solution of type IIB supergravity generalizing previously known solutions corresponding to D3 branes to geometries without an orthogonal split between parallel and transverse directions. The metric is given implicitly as one with respect to which a certain connection is compatible. The case of the deformed conifold is discussed in detail.

[ { "created": "Fri, 5 Nov 1999 23:18:15 GMT", "version": "v1" }, { "created": "Wed, 2 Aug 2000 16:28:45 GMT", "version": "v2" }, { "created": "Sun, 20 Aug 2000 21:46:37 GMT", "version": "v3" } ]

2009-10-31

[ [ "Minasian", "Ruben", "" ], [ "Tsimpis", "Dimitrios", "" ] ]

We present a formal supersymmetric solution of type IIB supergravity generalizing previously known solutions corresponding to D3 branes to geometries without an orthogonal split between parallel and transverse directions. The metric is given implicitly as one with respect to which a certain connection is compatible. The case of the deformed conifold is discussed in detail.

15.072876

12.263134

16.022652

13.199393

14.901285

15.337484

14.559568

13.5545

14.346377

15.78182

13.249346

13.114908

15.400204

13.395505

13.322682

13.513742

13.009103

13.764418

13.149599

15.120622

13.542451

0707.1394

Yu-tin Huang

Yu-tin Huang, Warren Siegel

Running anti-de Sitter radius from QCD-like strings

12 pages

JHEP 0709:112,2007

10.1088/1126-6708/2007/09/112

YITP-SB-07-13

hep-th

null

We consider renormalization effects for a bosonic QCD-like string, whose partons have $1/p^{2}$ propagators instead of Gaussian. Classically this model resembles (the bosonic part of) the projective light-cone (zero-radius) limit of a string on an AdS${}_5$ background, where Schwinger parameters give rise to the fifth dimension. Quantum effects generate dynamics for this dimension, producing an AdS${}_5$ background with a running radius. The projective light-cone is the high-energy limit: Holography is enforced dynamically.

[ { "created": "Tue, 10 Jul 2007 19:05:18 GMT", "version": "v1" } ]

2009-04-30

[ [ "Huang", "Yu-tin", "" ], [ "Siegel", "Warren", "" ] ]

We consider renormalization effects for a bosonic QCD-like string, whose partons have $1/p^{2}$ propagators instead of Gaussian. Classically this model resembles (the bosonic part of) the projective light-cone (zero-radius) limit of a string on an AdS${}_5$ background, where Schwinger parameters give rise to the fifth dimension. Quantum effects generate dynamics for this dimension, producing an AdS${}_5$ background with a running radius. The projective light-cone is the high-energy limit: Holography is enforced dynamically.

18.1056

17.993252

16.419756

15.459612

17.433434

15.92062

15.829679

17.119715

15.25179

18.65712

16.047955

16.226076

15.655041

15.467462

15.747118

16.526333

16.357611

15.862272

15.996316

16.95513

16.018906

hep-th/9212106

Francois David

F. David

Non-Perturbative Effects in Matrix Models and Vacua of Two Dimensional Gravity

13 pages, harvmac.tex , 3 figures (postscript file included), SPhT/92-159

Phys.Lett. B302 (1993) 403-410

10.1016/0370-2693(93)90417-G

null

hep-th

null

The most general large N eigenvalues distribution for the one matrix model is shown to consist of tree-like structures in the complex plane. For the m=2 critical point, such a split solution describes the strong coupling phase of 2d quantum gravity (c=0 non-critical string). It is obtained by taking combinations of complex contours in the matrix integral, and the relative weight of the contours is identified with the non-perturbative theta-parameter that fixes uniquely the solution of the string equation (Painleve I). This allows to recover by instanton methods results on the non-perturbative effects obtained by the Isomonodromic Deformation Method, and to construct for each theta-vacuum the observables (the loop correlation functions) which satisfy the loop equations. The breakdown of analyticity of the large N solution is related to the existence of poles for the loop operators.

[ { "created": "Thu, 17 Dec 1992 10:43:02 GMT", "version": "v1" } ]

2009-10-22

[ [ "David", "F.", "" ] ]

The most general large N eigenvalues distribution for the one matrix model is shown to consist of tree-like structures in the complex plane. For the m=2 critical point, such a split solution describes the strong coupling phase of 2d quantum gravity (c=0 non-critical string). It is obtained by taking combinations of complex contours in the matrix integral, and the relative weight of the contours is identified with the non-perturbative theta-parameter that fixes uniquely the solution of the string equation (Painleve I). This allows to recover by instanton methods results on the non-perturbative effects obtained by the Isomonodromic Deformation Method, and to construct for each theta-vacuum the observables (the loop correlation functions) which satisfy the loop equations. The breakdown of analyticity of the large N solution is related to the existence of poles for the loop operators.

13.820747

14.749323

15.937748

13.021294

14.293838

14.0453

14.616549

13.823288

13.531191

16.179106

13.358961

13.24812

14.158431

13.405706

13.470387

13.241259

13.583522

13.551078

13.196647

13.963676

13.271294

hep-th/0703155

Marc Henneaux

Claudio Bunster and Marc Henneaux

A Monopole Near a Black Hole

8 pages. References added

null

CECS-PHY-07/05, ULB-TH/07-13

hep-th

null

We study an electric charge held at rest outside a magnetically charged black hole. We find that even if the electric charge is treated as a perturbation on a spherically symmetric magnetic Reissner-Nordstrom hole, the geometry at large distances is that of a magnetic Kerr-Newman black hole. When the charge approaches the horizon and crosses it, the exterior geometry becomes that of a Kerr-Newman hole with electric and magnetic charges and with total angular momentum given by the standard value for a charged monopole pair. Thus, in accordance with the "no-hair theorem", once the charge is captured by the black hole, the angular momentum associated with the charge monopole system, looses all traces of its exotic origin and it is perceived from the outside as common rotation. It is argued that a similar analysis performed on Taub-NUT space should give the same result, namely, if one holds an ordinary mass outside of the horizon of a Taub-NUT space with only magnetic mass, the system, as seen from large distances, is endowed with an angular momentum proportional to the product of the two kinds of masses. When the ordinary, electric, mass reaches the horizon, the exterior metric becomes that of a rotating Taub-NUT space.

[ { "created": "Fri, 16 Mar 2007 15:10:44 GMT", "version": "v1" }, { "created": "Sat, 14 Jul 2007 04:28:48 GMT", "version": "v2" } ]

2011-11-10

[ [ "Bunster", "Claudio", "" ], [ "Henneaux", "Marc", "" ] ]

We study an electric charge held at rest outside a magnetically charged black hole. We find that even if the electric charge is treated as a perturbation on a spherically symmetric magnetic Reissner-Nordstrom hole, the geometry at large distances is that of a magnetic Kerr-Newman black hole. When the charge approaches the horizon and crosses it, the exterior geometry becomes that of a Kerr-Newman hole with electric and magnetic charges and with total angular momentum given by the standard value for a charged monopole pair. Thus, in accordance with the "no-hair theorem", once the charge is captured by the black hole, the angular momentum associated with the charge monopole system, looses all traces of its exotic origin and it is perceived from the outside as common rotation. It is argued that a similar analysis performed on Taub-NUT space should give the same result, namely, if one holds an ordinary mass outside of the horizon of a Taub-NUT space with only magnetic mass, the system, as seen from large distances, is endowed with an angular momentum proportional to the product of the two kinds of masses. When the ordinary, electric, mass reaches the horizon, the exterior metric becomes that of a rotating Taub-NUT space.

8.243819

8.801137

8.705529

8.05394

8.520388

8.261287

8.669597

8.407175

8.152641

9.433415

8.19399

8.239673

8.203511

8.000586

8.22575

8.190919

8.173755

8.24549

8.220855

8.646292

8.182306

hep-th/0601235

Luiz Agostinho Ferreira

L. A. Ferreira

Exact time dependent Hopf solitons in 3+1 dimensions

4 pages revtex, 2 eps figures, replaced with one reference added

JHEP 0603 (2006) 075

10.1088/1126-6708/2006/03/075

null

hep-th math-ph math.MP nlin.SI

null

We construct an infinite number of exact time dependent soliton solutions, carrying non-trivial Hopf topological charges, in a 3+1 dimensional Lorentz invariant theory with target space S^2. The construction is based on an ansatz which explores the invariance of the model under the conformal group SO(4,2) and the infinite dimensional group of area preserving diffeomorphisms of S^2. The model is a rare example of an integrable theory in four dimensions, and the solitons may play a role in the low energy limit of gauge theories.

[ { "created": "Tue, 31 Jan 2006 13:46:31 GMT", "version": "v1" }, { "created": "Tue, 7 Feb 2006 11:14:42 GMT", "version": "v2" } ]

2009-11-11

[ [ "Ferreira", "L. A.", "" ] ]

We construct an infinite number of exact time dependent soliton solutions, carrying non-trivial Hopf topological charges, in a 3+1 dimensional Lorentz invariant theory with target space S^2. The construction is based on an ansatz which explores the invariance of the model under the conformal group SO(4,2) and the infinite dimensional group of area preserving diffeomorphisms of S^2. The model is a rare example of an integrable theory in four dimensions, and the solitons may play a role in the low energy limit of gauge theories.

5.952646

4.724189

5.913406

4.802858

4.827475

4.933189

4.9736

4.493436

4.795521

6.059868

4.913714

5.232563

5.787915

5.289919

5.174301

5.427106

5.239466

5.392355

5.257293

5.659235

5.258975

1801.09669

Swapnamay Mondal Dr.

Swapnamay Mondal

Super-maximal chaos and instability

20 pages

null

10.1088/1751-8121/ad0f49

null

hep-th cond-mat.str-el

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

An upper bound on Lyapunov exponent of a thermal many body quantum system has been conjectured recently. In this work, we attempt to achieve a physical understanding of what prevents a system from violating this bound. To this end, we propose - super-maximal chaos leads to instability. Our proposal is supported by findings in a SYK lattice model, with a tuneable parameter, which the Lyapunov spectrum depends upon. In the stable regime of this parameter, along with incoherent metallic phase, the system exhibits another novel phase, where transport is controlled neither by quasi-particles nor by diffusion. At the phase transition, diffusion coefficient, butterfly velocity and Thouless time diverges.

[ { "created": "Mon, 29 Jan 2018 18:54:29 GMT", "version": "v1" }, { "created": "Mon, 23 Jul 2018 17:45:16 GMT", "version": "v2" } ]

2023-11-27

[ [ "Mondal", "Swapnamay", "" ] ]

An upper bound on Lyapunov exponent of a thermal many body quantum system has been conjectured recently. In this work, we attempt to achieve a physical understanding of what prevents a system from violating this bound. To this end, we propose - super-maximal chaos leads to instability. Our proposal is supported by findings in a SYK lattice model, with a tuneable parameter, which the Lyapunov spectrum depends upon. In the stable regime of this parameter, along with incoherent metallic phase, the system exhibits another novel phase, where transport is controlled neither by quasi-particles nor by diffusion. At the phase transition, diffusion coefficient, butterfly velocity and Thouless time diverges.

17.35795

14.294235

17.79113

16.115141

16.135559

16.929291

16.124252

15.297863

14.9234

20.381992

15.191417

14.885194

16.665895

15.053218

15.114851

15.090826

14.724938

14.962711

15.267766

15.967003

14.941123

2209.03979

Josh Kirklin

Emergent classical gauge symmetry from quantum entanglement

50 pages, 4 figures, 1 piece of AI-generated art. Comments welcome and appreciated

null

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

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

We describe explicitly how entanglement between quantum mechanical subsystems can lead to emergent gauge symmetry in a classical limit. We first provide a precise characterisation of when it is consistent to treat a quantum subsystem classically in such a limit, namely: in any quantum state corresponding to a definite classical state in the classical limit, the reduced density matrix of the subsystem must be approximately proportional to a projection operator, and the projection operators for different classical subsystem states must obey an approximate mutual orthogonality condition. These are strong constraints on the entanglement structure of classical states. They generically give rise to fundamentally non-local classical degrees of freedom, which may nevertheless be accounted for using a completely local kinematical description, if one gauges this description in the right way. The mechanism we describe is very general, but for concreteness we exhibit a toy example involving three entangled spins at high angular momentum, and we also describe a significant group-theoretic generalisation of this toy example. Finally, we give evidence that this phenomenon plays a role in the emergence of bulk diffeomorphism invariance in gravity.

[ { "created": "Thu, 8 Sep 2022 18:00:41 GMT", "version": "v1" } ]

2022-09-12

[ [ "Kirklin", "Josh", "" ] ]

We describe explicitly how entanglement between quantum mechanical subsystems can lead to emergent gauge symmetry in a classical limit. We first provide a precise characterisation of when it is consistent to treat a quantum subsystem classically in such a limit, namely: in any quantum state corresponding to a definite classical state in the classical limit, the reduced density matrix of the subsystem must be approximately proportional to a projection operator, and the projection operators for different classical subsystem states must obey an approximate mutual orthogonality condition. These are strong constraints on the entanglement structure of classical states. They generically give rise to fundamentally non-local classical degrees of freedom, which may nevertheless be accounted for using a completely local kinematical description, if one gauges this description in the right way. The mechanism we describe is very general, but for concreteness we exhibit a toy example involving three entangled spins at high angular momentum, and we also describe a significant group-theoretic generalisation of this toy example. Finally, we give evidence that this phenomenon plays a role in the emergence of bulk diffeomorphism invariance in gravity.

9.620802

10.529736

11.430266

9.500333

10.139894

9.793669

10.005962

9.644145

9.773329

10.742919

9.483121

9.145918

9.659049

9.186257

9.075487

9.298465

9.317142

9.426751

9.482506

9.875568

9.09339

hep-th/0405260

Koichi Murakami

K. Murakami

Matrix Quantum Mechanics for Supermembrane on AdS_{7} x S^{4}

36 pages, LaTeX2e

null

MIFP-04-10

hep-th

null

We explore the light-cone gauge formulation of a closed supermembrane on AdS_{7} x S^{4}. We obtain the action of matrix quantum mechanics with large N U(N) gauge symmetry for the light-cone supermembrane. We show that this action reproduces leading order terms in \alpha'-expansion of the non-abelian Born-Infeld action of N D0-branes propagating near the horizon of D4-branes. The matrix quantum mechanics obtained in this paper, therefore, has an interpretation as Matrix theory in the near-horizon of D4-branes.

[ { "created": "Fri, 28 May 2004 01:05:16 GMT", "version": "v1" } ]

2007-05-23

[ [ "Murakami", "K.", "" ] ]

We explore the light-cone gauge formulation of a closed supermembrane on AdS_{7} x S^{4}. We obtain the action of matrix quantum mechanics with large N U(N) gauge symmetry for the light-cone supermembrane. We show that this action reproduces leading order terms in \alpha'-expansion of the non-abelian Born-Infeld action of N D0-branes propagating near the horizon of D4-branes. The matrix quantum mechanics obtained in this paper, therefore, has an interpretation as Matrix theory in the near-horizon of D4-branes.

6.897601

5.946875

7.81985

6.182514

6.949666

5.752046

6.268941

6.130395

6.202726

8.916508

6.034993

6.323836

7.108542

6.44565

6.238769

6.285472

6.345616

6.329673

6.482526

7.263876

6.201043

2205.12827

Tristan H\"ubsch

Per Berglund and Tristan H\"ubsch

Hirzebruch Surfaces, Tyurin Degenerations and Toric Mirrors: Bridging Generalized Calabi-Yau Constructions

36 pages, 8 figures; a references added, minor corrections and clarifications

null

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

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

There is a large number of different ways of constructing Calabi-Yau manifolds, as well as related non-geometric formulations, relevant in string compactifications. Showcasing this diversity, we discuss explicit deformation families of discretely distinct Hirzebruch hypersurfaces in $\mathbb{P}^n \times \mathbb{P}^1$ and identify their toric counterparts in detail. This precise isomorphism is then used to investigate some of their special divisors of interest, and in particular the secondary deformation family of their Calabi-Yau subspaces. In particular, most of the above so called Hirzebruch scrolls are non-Fano, and their (regular) Calabi-Yau hypersurfaces are Tyurin-degenerate, but admit novel (Laurent) deformations by special rational sections as well as a sweeping generalization of the transposition construction of mirror models. This bi-projective embedding also reveals a novel deformation connection between distinct toric spaces, and so also the various divisors of interest including their Calabi-Yau subspaces.

[ { "created": "Wed, 25 May 2022 14:56:17 GMT", "version": "v1" }, { "created": "Thu, 30 Jun 2022 02:38:02 GMT", "version": "v2" } ]

2022-07-01

[ [ "Berglund", "Per", "" ], [ "Hübsch", "Tristan", "" ] ]

There is a large number of different ways of constructing Calabi-Yau manifolds, as well as related non-geometric formulations, relevant in string compactifications. Showcasing this diversity, we discuss explicit deformation families of discretely distinct Hirzebruch hypersurfaces in $\mathbb{P}^n \times \mathbb{P}^1$ and identify their toric counterparts in detail. This precise isomorphism is then used to investigate some of their special divisors of interest, and in particular the secondary deformation family of their Calabi-Yau subspaces. In particular, most of the above so called Hirzebruch scrolls are non-Fano, and their (regular) Calabi-Yau hypersurfaces are Tyurin-degenerate, but admit novel (Laurent) deformations by special rational sections as well as a sweeping generalization of the transposition construction of mirror models. This bi-projective embedding also reveals a novel deformation connection between distinct toric spaces, and so also the various divisors of interest including their Calabi-Yau subspaces.

17.054749

17.918173

19.305891

17.574251

18.552862

18.239134

19.016939

16.026379

17.187609

20.522308

16.612423

16.271872

17.393248

16.034094

17.417381

16.784908

16.979218

16.527521

16.714933

16.643185

15.997182

1704.00251

Mohammad Reza Setare

M. R. Setare and H. Adami

Entropy Formula and Conserved Charges of Spin-3 Chern-Simons-Like Theories of Gravity

29 pages

null

hep-th

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

In this paper we present the generalization of Chern-Simons-like theories of gravity (CSLTG) to spin-3. We propose a Lagrangian describing the spin-3 fields coupled to Chern-Simons-like theories of gravity. Then we obtain conserved charges of these theories by using a quasi-local formalism. We find a general formula for entropy of black holes solutions of Spin-3 CSLTG. As an example, we apply our formalism to the spin-3 Generalized minimal massive gravity (GMMG) model. We analysis this model at linearized level and show that this model propagate two massive spin-2 modes and two massive spin-3 modes. We find no-ghost and no-tachyon conditions, which can be satisfy in the parameter space of the model. Then we find energy, angular momentum and entropy of a special black hole solution of this model.

[ { "created": "Sun, 2 Apr 2017 04:52:01 GMT", "version": "v1" }, { "created": "Thu, 13 Jul 2017 12:26:02 GMT", "version": "v2" } ]

2017-07-14

[ [ "Setare", "M. R.", "" ], [ "Adami", "H.", "" ] ]

In this paper we present the generalization of Chern-Simons-like theories of gravity (CSLTG) to spin-3. We propose a Lagrangian describing the spin-3 fields coupled to Chern-Simons-like theories of gravity. Then we obtain conserved charges of these theories by using a quasi-local formalism. We find a general formula for entropy of black holes solutions of Spin-3 CSLTG. As an example, we apply our formalism to the spin-3 Generalized minimal massive gravity (GMMG) model. We analysis this model at linearized level and show that this model propagate two massive spin-2 modes and two massive spin-3 modes. We find no-ghost and no-tachyon conditions, which can be satisfy in the parameter space of the model. Then we find energy, angular momentum and entropy of a special black hole solution of this model.

6.186187

5.315195

5.846444

5.148317

5.375944

5.008133

5.097866

5.474593

5.390271

6.646377

5.624982

5.501062

5.73596

5.584337

5.521658

5.615313

5.685943

5.623422

5.576787

5.946872

5.761831

0802.2817

Claudio Benedito Silva Furtado

E. Passos, L. R. Ribeiro, C Furtado, J. R. Nascimento

Lorentz symmetry violation and an Analog of Landau levels

11 pages, no figures, v2: new title,new version

null

hep-th

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

Within the context of Lorentz violating extended electrodynamics, we study an analog of Landau quantization for a system where a neutral particle moves in the presence of an electromagnetic field and a constant four-vector that breaks Lorentz symmetry. The nonrelativistic Hamiltonian associated to this system is obtained using the Foldy-Wouthuysen transformation for a Dirac spinor. The degenerated energy spectrum is obtained for a time-like and a space-like parameter Lorentz-breaking vector. The energy dependence of the cyclotron rotation direction in terms of supersymmetric quantum mechanics is analyzed.

[ { "created": "Wed, 20 Feb 2008 13:27:17 GMT", "version": "v1" }, { "created": "Thu, 14 Aug 2008 18:07:51 GMT", "version": "v2" } ]

2008-08-14

[ [ "Passos", "E.", "" ], [ "Ribeiro", "L. R.", "" ], [ "Furtado", "C", "" ], [ "Nascimento", "J. R.", "" ] ]

Within the context of Lorentz violating extended electrodynamics, we study an analog of Landau quantization for a system where a neutral particle moves in the presence of an electromagnetic field and a constant four-vector that breaks Lorentz symmetry. The nonrelativistic Hamiltonian associated to this system is obtained using the Foldy-Wouthuysen transformation for a Dirac spinor. The degenerated energy spectrum is obtained for a time-like and a space-like parameter Lorentz-breaking vector. The energy dependence of the cyclotron rotation direction in terms of supersymmetric quantum mechanics is analyzed.

8.317548

7.90043

7.951465

7.242378

7.748184

8.280554

8.338517

7.884697

7.31769

9.548584

7.776233

7.997683

7.831002

7.858419

8.01007

8.160228

8.082458

7.956959

7.830012

8.40153

7.835645

2312.07794

Yang Liu

Shunrui Li, Yang Liu

Observational Tests of 4D Double Field Theory

null

hep-th

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

Although General Relativity (GR) is a very successful theory of gravity, it cannot explain every observational phenomenon. People have tried many kinds of modified gravity theory to explain these phenomena which GR cannot explain very well, such as string theory. In recent years Double Field Theory (DFT) has been an exciting research area in string theory. The most general, spherically symmetric, asymptotically flat, static vacuum solution to D = 4 double field theory has been derived by S.M. Ko, J.H. Park and M. Suh. In this article, we calculate the minor corrections to the three predictions in GR: optical deflation, planet precession and gravitational redshift. These three predictions should be able to tested by observations and find the discrepancies between GR and DFT in the future.

[ { "created": "Tue, 12 Dec 2023 23:20:28 GMT", "version": "v1" }, { "created": "Fri, 15 Dec 2023 00:10:39 GMT", "version": "v2" }, { "created": "Thu, 18 Apr 2024 00:28:57 GMT", "version": "v3" } ]

2024-04-19

[ [ "Li", "Shunrui", "" ], [ "Liu", "Yang", "" ] ]

Although General Relativity (GR) is a very successful theory of gravity, it cannot explain every observational phenomenon. People have tried many kinds of modified gravity theory to explain these phenomena which GR cannot explain very well, such as string theory. In recent years Double Field Theory (DFT) has been an exciting research area in string theory. The most general, spherically symmetric, asymptotically flat, static vacuum solution to D = 4 double field theory has been derived by S.M. Ko, J.H. Park and M. Suh. In this article, we calculate the minor corrections to the three predictions in GR: optical deflation, planet precession and gravitational redshift. These three predictions should be able to tested by observations and find the discrepancies between GR and DFT in the future.

11.117566

12.946992

11.741995

11.280437

13.217593

12.823496

13.264849

11.473482

12.262275

12.352852

12.154072

11.710836

11.585149

11.589016

11.990691

11.698396

12.108009

11.626521

11.569788

10.692304

11.771441

1803.00527

Johannes Broedel

Johannes Broedel, Oliver Schlotterer, Federico Zerbini

From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop

48+15 pages, v2: replaced with published version

JHEP 1901 (2019) 155

10.1007/JHEP01(2019)155

HU-EP-18/05, HU-Mathematik-2018-02, NSF-ITP-18-009

hep-th math.NT

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

We relate one-loop scattering amplitudes of massless open- and closed-string states at the level of their low-energy expansion. The modular graph functions resulting from integration over closed-string punctures are observed to follow from symmetrized open-string integrals through a tentative generalization of the single-valued projection known from genus zero.

[ { "created": "Thu, 1 Mar 2018 17:50:19 GMT", "version": "v1" }, { "created": "Sat, 2 Mar 2019 12:47:59 GMT", "version": "v2" } ]

2019-03-05

[ [ "Broedel", "Johannes", "" ], [ "Schlotterer", "Oliver", "" ], [ "Zerbini", "Federico", "" ] ]

We relate one-loop scattering amplitudes of massless open- and closed-string states at the level of their low-energy expansion. The modular graph functions resulting from integration over closed-string punctures are observed to follow from symmetrized open-string integrals through a tentative generalization of the single-valued projection known from genus zero.

13.720964

12.29525

17.737032

11.722848

13.890724

14.442804

14.29689

12.38284

11.248362

20.731087

10.604946

12.925585

13.200045

12.795054

13.330692

12.994087

12.28425

12.809183

12.142057

13.838358

13.451872

hep-th/0305058

Bertoldi Gaetano

Gaetano Bertoldi

Matrix Models, Argyres-Douglas singularities and double scaling limits

31 pages, 1 figure; the expression of the superpotential has been corrected and the calculation of the coupling constants of the low-energy theory has been added

JHEP 0306:027,2003

10.1088/1126-6708/2003/06/027

MIT-CTP-3372

hep-th

null

We construct an N=1 theory with gauge group U(nN) and degree n+1 tree level superpotential whose matrix model spectral curve develops an A_{n+1} Argyres-Douglas singularity. We evaluate the coupling constants of the low-energy U(1)^n theory and show that the large N expansion is singular at the Argyres-Douglas points. Nevertheless, it is possible to define appropriate double scaling limits which are conjectured to yield four dimensional non-critical string theories as proposed by Ferrari. In the Argyres-Douglas limit the n-cut spectral curve degenerates into a solution with n/2 cuts for even n and (n+1)/2 cuts for odd n.

[ { "created": "Wed, 7 May 2003 20:27:24 GMT", "version": "v1" }, { "created": "Wed, 12 Nov 2003 18:27:48 GMT", "version": "v2" } ]

2010-02-03

[ [ "Bertoldi", "Gaetano", "" ] ]

We construct an N=1 theory with gauge group U(nN) and degree n+1 tree level superpotential whose matrix model spectral curve develops an A_{n+1} Argyres-Douglas singularity. We evaluate the coupling constants of the low-energy U(1)^n theory and show that the large N expansion is singular at the Argyres-Douglas points. Nevertheless, it is possible to define appropriate double scaling limits which are conjectured to yield four dimensional non-critical string theories as proposed by Ferrari. In the Argyres-Douglas limit the n-cut spectral curve degenerates into a solution with n/2 cuts for even n and (n+1)/2 cuts for odd n.

8.728852

8.331889

10.072157

8.842496

8.786874

9.177361

8.716223

8.454413

8.44481

12.108687

8.241976

8.622165

9.520257

8.550834

8.764388

8.925057

8.875667

8.686616

8.570734

9.983127

8.721929

1511.04681

Kazuki Hasebe

Relativistic Landau Models and Generation of Fuzzy Spheres

1+56 pages, 13 figures, typos corrected, more explanations about the edth operators added, Appendix B and D expanded

Int.J.Mod.Phys.A 31 (2016) 1650117

10.1142/S0217751X16501177

null

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

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

Non-commutative geometry naturally emerges in low energy physics of Landau models as a consequence of level projection. In this work, we proactively utilize the level projection as an effective tool to generate fuzzy geometry. The level projection is specifically applied to the relativistic Landau models. In the first half of the paper, a detail analysis of the relativistic Landau problems on a sphere is presented, where a concise expression of the Dirac-Landau operator eigenstates is obtained based on algebraic methods. We establish $SU(2)$ "gauge" transformation between the relativistic Landau model and the Pauli-Schr\"odinger non-relativistic quantum mechanics. After the $SU(2)$ transformation, the Dirac operator and the angular momentum operastors are found to satisfy the $SO(3,1)$ algebra. In the second half, the fuzzy geometries generated from the relativistic Landau levels are elucidated, where unique properties of the relativistic fuzzy geometries are clarified. We consider mass deformation of the relativistic Landau models and demonstrate its geometrical effects to fuzzy geometry. Super fuzzy geometry is also constructed from a supersymmetric quantum mechanics as the square of the Dirac-Landau operator. Finally, we apply the level projection method to real graphene system to generate valley fuzzy spheres.

[ { "created": "Sun, 15 Nov 2015 10:39:27 GMT", "version": "v1" }, { "created": "Thu, 28 Jul 2016 06:04:05 GMT", "version": "v2" }, { "created": "Tue, 23 Aug 2016 01:31:25 GMT", "version": "v3" } ]

2016-08-24

[ [ "Hasebe", "Kazuki", "" ] ]

Non-commutative geometry naturally emerges in low energy physics of Landau models as a consequence of level projection. In this work, we proactively utilize the level projection as an effective tool to generate fuzzy geometry. The level projection is specifically applied to the relativistic Landau models. In the first half of the paper, a detail analysis of the relativistic Landau problems on a sphere is presented, where a concise expression of the Dirac-Landau operator eigenstates is obtained based on algebraic methods. We establish $SU(2)$ "gauge" transformation between the relativistic Landau model and the Pauli-Schr\"odinger non-relativistic quantum mechanics. After the $SU(2)$ transformation, the Dirac operator and the angular momentum operastors are found to satisfy the $SO(3,1)$ algebra. In the second half, the fuzzy geometries generated from the relativistic Landau levels are elucidated, where unique properties of the relativistic fuzzy geometries are clarified. We consider mass deformation of the relativistic Landau models and demonstrate its geometrical effects to fuzzy geometry. Super fuzzy geometry is also constructed from a supersymmetric quantum mechanics as the square of the Dirac-Landau operator. Finally, we apply the level projection method to real graphene system to generate valley fuzzy spheres.

9.920628

10.239338

10.78522

9.470958

9.752977

9.63207

10.111135

9.932021

9.512227

10.976958

9.157789

9.452046

9.483034

9.367331

9.60631

9.670566

9.564935

9.385138

9.595193

9.90784

9.624219

2005.06446

Laurentiu Rodina

UV consistency conditions for CHY integrands

null

Phys. Rev. D 102, 045012 (2020)

10.1103/PhysRevD.102.045012

null

hep-th

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

We extend on-shell bootstrap methods from spacetime amplitudes to the worldsheet objects of the CHY formalism. We find that the integrands corresponding to tree-level non-linear sigma model, Yang-Mills and $(DF)^2$ theory are determined by demanding enhanced UV scaling under BCFW shifts. Back in spacetime, we also find that $(DF)^2$ theory is fixed by gauge invariance/UV scaling and simple locality assumptions.

[ { "created": "Wed, 13 May 2020 17:39:49 GMT", "version": "v1" } ]

2020-08-19

[ [ "Rodina", "Laurentiu", "" ] ]

We extend on-shell bootstrap methods from spacetime amplitudes to the worldsheet objects of the CHY formalism. We find that the integrands corresponding to tree-level non-linear sigma model, Yang-Mills and $(DF)^2$ theory are determined by demanding enhanced UV scaling under BCFW shifts. Back in spacetime, we also find that $(DF)^2$ theory is fixed by gauge invariance/UV scaling and simple locality assumptions.

16.341713

11.872828

19.620766

12.760269

12.373358

13.162723

12.915471

13.232554

12.787595

20.495928

13.295333

13.29268

14.113468

13.089676

13.361828

12.98024

13.037441

13.676393

13.384638

14.854439

12.411529

1904.04408

Yasunori Nomura

Chitraang Murdia, Yasunori Nomura, Pratik Rath, Nico Salzetta

Comments on Holographic Entanglement Entropy in TT Deformed CFTs

5 pages

Phys. Rev. D 100, 026011 (2019)

10.1103/PhysRevD.100.026011

null

hep-th gr-qc

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

The Ryu-Takayanagi (RT) formula has been a key ingredient in our understanding of holography. Recent work on TT deformations has also boosted our understanding of holography away from the conformal boundary of AdS. In this short note, we aim to refine some recent work demonstrating the success of the RT formula in TT deformed theories. We emphasize general arguments that justify the use of the RT formula in general holographic theories that obey a GKPW-like dictionary. In doing so, we clarify subtleties related to holographic counterterms and discuss the implications for holography in general spacetimes.

[ { "created": "Tue, 9 Apr 2019 01:21:38 GMT", "version": "v1" } ]

2019-07-24

[ [ "Murdia", "Chitraang", "" ], [ "Nomura", "Yasunori", "" ], [ "Rath", "Pratik", "" ], [ "Salzetta", "Nico", "" ] ]

The Ryu-Takayanagi (RT) formula has been a key ingredient in our understanding of holography. Recent work on TT deformations has also boosted our understanding of holography away from the conformal boundary of AdS. In this short note, we aim to refine some recent work demonstrating the success of the RT formula in TT deformed theories. We emphasize general arguments that justify the use of the RT formula in general holographic theories that obey a GKPW-like dictionary. In doing so, we clarify subtleties related to holographic counterterms and discuss the implications for holography in general spacetimes.

8.256713

8.343554

8.805961

8.026235

8.065514

8.176171

8.330478

7.046646

8.063841

9.565822

7.867226

7.716219

8.656206

7.838147

7.885246

7.659393

7.977742

7.859787

7.760602

8.397129

7.770907

1910.03059

Olivier Piguet

Ivan Morales, Bruno Neves, Zui Oporto and Olivier Piguet

Quantum Charged Spinning Massless Particles in 2+1 dimensions

30 pages, 14 figures, Mathematica code annexed as an ancillary file. Version v2: Paragraph added in the introduction. Three new references. Version v3: Final version, publihshed in Eur. Phys. J

Eur. Phys. J. C (2019) 79:1014

10.1140/epjc/s10052-019-7511-z

null

hep-th cond-mat.other

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

Motivated by the conduction properties of graphene discovered and studied in the last decades, we consider the quantum dynamics of a massless, charged, spin 1/2 relativistic particle in three dimensional space-time, in the presence of an electrostatic field in various configurations such as step or barrier potentials and generalizations of them. The field is taken as parallel to the y coordinate axis and vanishing outside of a band parallel to the x axis. The classical theory is reviewed, together with its canonical quantization leading to the Dirac equation for a 2-component spinor. Stationary solutions are numerically found for each of the field configurations considered, fromwhich we calculate the mean quantum trajectories of the particle and compare them with the corresponding classical trajectories, the latter showing a classical version of the Klein phenomenon. Transmission and reflection probabilities are also calculated, confirming the Klein phenomenon.

[ { "created": "Mon, 7 Oct 2019 20:04:03 GMT", "version": "v1" }, { "created": "Sun, 13 Oct 2019 19:02:15 GMT", "version": "v2" }, { "created": "Mon, 23 Dec 2019 13:03:54 GMT", "version": "v3" } ]

2019-12-24

[ [ "Morales", "Ivan", "" ], [ "Neves", "Bruno", "" ], [ "Oporto", "Zui", "" ], [ "Piguet", "Olivier", "" ] ]

Motivated by the conduction properties of graphene discovered and studied in the last decades, we consider the quantum dynamics of a massless, charged, spin 1/2 relativistic particle in three dimensional space-time, in the presence of an electrostatic field in various configurations such as step or barrier potentials and generalizations of them. The field is taken as parallel to the y coordinate axis and vanishing outside of a band parallel to the x axis. The classical theory is reviewed, together with its canonical quantization leading to the Dirac equation for a 2-component spinor. Stationary solutions are numerically found for each of the field configurations considered, fromwhich we calculate the mean quantum trajectories of the particle and compare them with the corresponding classical trajectories, the latter showing a classical version of the Klein phenomenon. Transmission and reflection probabilities are also calculated, confirming the Klein phenomenon.

10.957848

11.51792

11.889128

10.943532

11.053437

11.271745

11.427765

10.695367

10.878949

11.595937

10.515569

10.981484

10.582596

10.527984

10.648257

10.921832

10.505426

10.773887

10.520993

10.777164

10.667476

1902.07415

Aneesh Prema Balakrishnan

P B Aneesh, Sk Jahanur Hoque, Amitabh Virmani

Conserved charges in asymptotically de Sitter spacetimes

42 pages, 1 figure; v2: Version includes new references and comments; v3: accepted to CQG

Class. Quantum Grav. 36 (2019) 205008

10.1088/1361-6382/ab3be7

null

hep-th gr-qc

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

We present a covariant phase space construction of hamiltonian generators of asymptotic symmetries with `Dirichlet' boundary conditions in de Sitter spacetime, extending a previous study of J\"ager. We show that the de Sitter charges so defined are identical to those of Ashtekar, Bonga, and Kesavan (ABK). We then present a comparison of ABK charges with other notions of de Sitter charges. We compare ABK charges with counterterm charges, showing that they differ only by a constant offset, which is determined in terms of the boundary metric alone. We also compare ABK charges with charges defined by Kelly and Marolf at spatial infinity of de sitter spacetime. When the formalisms can be compared, we show that the two definitions agree. Finally, we express Kerr-de Sitter metrics in four and five dimensions in an appropriate Fefferman-Graham form.

[ { "created": "Wed, 20 Feb 2019 05:35:44 GMT", "version": "v1" }, { "created": "Fri, 1 Mar 2019 12:00:53 GMT", "version": "v2" }, { "created": "Fri, 20 Sep 2019 11:19:52 GMT", "version": "v3" } ]

2019-09-23

[ [ "Aneesh", "P B", "" ], [ "Hoque", "Sk Jahanur", "" ], [ "Virmani", "Amitabh", "" ] ]

We present a covariant phase space construction of hamiltonian generators of asymptotic symmetries with `Dirichlet' boundary conditions in de Sitter spacetime, extending a previous study of J\"ager. We show that the de Sitter charges so defined are identical to those of Ashtekar, Bonga, and Kesavan (ABK). We then present a comparison of ABK charges with other notions of de Sitter charges. We compare ABK charges with counterterm charges, showing that they differ only by a constant offset, which is determined in terms of the boundary metric alone. We also compare ABK charges with charges defined by Kelly and Marolf at spatial infinity of de sitter spacetime. When the formalisms can be compared, we show that the two definitions agree. Finally, we express Kerr-de Sitter metrics in four and five dimensions in an appropriate Fefferman-Graham form.

8.176918

9.308171

8.565169

8.297837

9.616055

8.835205

8.912963

8.881254

8.599504

8.587133

8.356142

8.069836

8.071893

7.833497

8.010186

8.157294

8.099211

8.073313

8.012725

7.862512

8.232413

hep-th/9811080

Morten Krogh

Correlation functions of the global E8 symmetry currents in the Heterotic 5-brane theory

10 pages, Talk at the Trieste conference on Superfivebranes and Physics in 5+1 dimensions, April 1998. LaTex, requires sprocl.sty

null

PUPT-1821

hep-th

null

We consider the 5-brane placed at one end of the world in the Heterotic $E_8 \times E_8$ theory. The low energy theory is a 6 dimensional $(1,0)$ superconformal theory with $E_8$ as a global symmetry. We calculate the two-point correlator of the $E_8$ current in 6 dimensions and in 4 dimensions after compactification on $\MT{2}$. This correlator is derived in 3 different ways: From field theory, from 11 dimensional supergravity and from F-theory.

[ { "created": "Mon, 9 Nov 1998 16:17:49 GMT", "version": "v1" } ]

2007-05-23

[ [ "Krogh", "Morten", "" ] ]

We consider the 5-brane placed at one end of the world in the Heterotic $E_8 \times E_8$ theory. The low energy theory is a 6 dimensional $(1,0)$ superconformal theory with $E_8$ as a global symmetry. We calculate the two-point correlator of the $E_8$ current in 6 dimensions and in 4 dimensions after compactification on $\MT{2}$. This correlator is derived in 3 different ways: From field theory, from 11 dimensional supergravity and from F-theory.

6.300259

5.831149

7.037104

5.489468

5.970536

5.540364

5.536144

5.651136

5.266212

7.285242

6.091681

6.021361

6.241146

5.86974

5.962978

6.022607

5.937122

5.921705

5.888712

6.322309

5.769739

2401.14955

Joseph Smith

Neil Lambert, Joseph Smith

Non-Relativistic M2-Branes and the AdS/CFT Correspondence

50 pages; v2: improved discussion of subleading fields, references added, minor corrections, v3: added discussion of limit on sphere, improved explanations, typos corrected, version accepted for publication in JHEP

null

hep-th

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

A non-relativistic limit of the AdS/CFT correspondence is studied in the context of M2-branes. On the field theory side this corresponds to a near-BPS limit of ABJM that localises onto solutions of Hitchin's equations. It is shown that the symmetries of the theory include an infinite-dimensional enhancement of the spatial symmetry algebra corresponding to time-dependent holomorphic transformations. Taking the limit of the gravitational dual splits the geometry into three 'large' directions and eight 'small' directions and corresponds to the Membrane-Newton-Cartan limit of eleven-dimensional supergravity. This has the effect of reducing the $AdS_4$ factor to an $AdS_2$ factor for the near-horizon limit of the M2-brane metric. Evidence is presented that the duality is maintained after the limit.

[ { "created": "Fri, 26 Jan 2024 15:42:52 GMT", "version": "v1" }, { "created": "Fri, 16 Feb 2024 16:02:52 GMT", "version": "v2" }, { "created": "Tue, 7 May 2024 16:21:55 GMT", "version": "v3" } ]

2024-05-08

[ [ "Lambert", "Neil", "" ], [ "Smith", "Joseph", "" ] ]

A non-relativistic limit of the AdS/CFT correspondence is studied in the context of M2-branes. On the field theory side this corresponds to a near-BPS limit of ABJM that localises onto solutions of Hitchin's equations. It is shown that the symmetries of the theory include an infinite-dimensional enhancement of the spatial symmetry algebra corresponding to time-dependent holomorphic transformations. Taking the limit of the gravitational dual splits the geometry into three 'large' directions and eight 'small' directions and corresponds to the Membrane-Newton-Cartan limit of eleven-dimensional supergravity. This has the effect of reducing the $AdS_4$ factor to an $AdS_2$ factor for the near-horizon limit of the M2-brane metric. Evidence is presented that the duality is maintained after the limit.

9.70119

8.793846

10.823494

9.212724

8.617559

8.684733

9.181347

9.045146

8.368898

11.377506

8.222515

8.684034

9.723301

8.933488

9.178905

8.577316

8.481132

8.806969

8.899029

9.747517

8.511077

0802.3218

Neil Barnaby

Neil Barnaby, James M. Cline

Predictions for Nongaussianity from Nonlocal Inflation

26 pages, 5 figures; references added, sign convention for f_NL clarified, minor corrections

JCAP 0806:030,2008

10.1088/1475-7516/2008/06/030

null

hep-th astro-ph hep-ph

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

In our previous work the nonlinearity parameter f_NL, which characterizes nongaussianity in the cosmic microwave background, was estimated for a class of inflationary models based on nonlocal field theory. These models include p-adic inflation and generically have the remarkable property that slow roll inflation can proceed even with an extremely steep potential. Previous calculations found that large nongaussianity is possible; however, the technical complications associated with studying perturbations in theories with infinitely many derivatives forced us to provide only an order of magnitude estimate for f_NL. We reconsider the problem of computing f_NL in nonlocal inflation models, showing that a particular choice of field basis and recent progress in cosmological perturbation theory makes an exact computation possible. We provide the first quantitatively accurate computation of the bispectrum in nonlocal inflation, confirming our previous claim that it can be observably large. We show that the shape of the bispectrum in this class of models makes it observationally distinguishable from Dirac-Born-Infeld inflation models.

[ { "created": "Thu, 21 Feb 2008 21:11:26 GMT", "version": "v1" }, { "created": "Thu, 29 May 2008 18:09:25 GMT", "version": "v2" } ]

2009-08-25

[ [ "Barnaby", "Neil", "" ], [ "Cline", "James M.", "" ] ]

In our previous work the nonlinearity parameter f_NL, which characterizes nongaussianity in the cosmic microwave background, was estimated for a class of inflationary models based on nonlocal field theory. These models include p-adic inflation and generically have the remarkable property that slow roll inflation can proceed even with an extremely steep potential. Previous calculations found that large nongaussianity is possible; however, the technical complications associated with studying perturbations in theories with infinitely many derivatives forced us to provide only an order of magnitude estimate for f_NL. We reconsider the problem of computing f_NL in nonlocal inflation models, showing that a particular choice of field basis and recent progress in cosmological perturbation theory makes an exact computation possible. We provide the first quantitatively accurate computation of the bispectrum in nonlocal inflation, confirming our previous claim that it can be observably large. We show that the shape of the bispectrum in this class of models makes it observationally distinguishable from Dirac-Born-Infeld inflation models.

7.892235

8.252957

8.548766

7.933867

7.908884

7.806476

7.909597

7.582697

7.75306

9.117177

7.632267

7.528784

7.575131

7.518034

7.431703

7.577053

7.60437

7.472592

7.397342

7.660785

7.312238

2303.03082

Sergei Kuzenko

Sergei M. Kuzenko and Kai Turner

Embedding formalism for $(p,q)$ AdS superspaces in three dimensions

44 pages; V2: typos corrected; V3: typos corrected

null

10.1007/JHEP06(2023)142

null

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

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

We develop an embedding formalism for $(p,q)$ anti-de Sitter (AdS) superspaces in three dimensions by using a modified version of their supertwistor description given in the literature. A coset construction for these superspaces is worked out. We put forward a program of constructing a supersymmetric analogue of the Ba\~nados metric, which is expected to be a deformation of the $(p,q)$ AdS superspace geometry by a two-dimensional conformal $(p,q)$ supercurrent multiplet.

[ { "created": "Mon, 6 Mar 2023 12:45:44 GMT", "version": "v1" }, { "created": "Wed, 8 Mar 2023 09:19:36 GMT", "version": "v2" }, { "created": "Tue, 11 Apr 2023 08:54:03 GMT", "version": "v3" } ]

2023-07-12

[ [ "Kuzenko", "Sergei M.", "" ], [ "Turner", "Kai", "" ] ]

We develop an embedding formalism for $(p,q)$ anti-de Sitter (AdS) superspaces in three dimensions by using a modified version of their supertwistor description given in the literature. A coset construction for these superspaces is worked out. We put forward a program of constructing a supersymmetric analogue of the Ba\~nados metric, which is expected to be a deformation of the $(p,q)$ AdS superspace geometry by a two-dimensional conformal $(p,q)$ supercurrent multiplet.

9.246055

8.512779

9.98242

7.78074

7.919485

7.446505

8.35

8.544919

8.394506

11.843535

7.883167

8.418492

9.833705

8.972402

8.815069

8.752873

8.476235

8.586319

8.781311

10.444304

8.295563

hep-th/0309055

Mark Laidlaw

M. Laidlaw

Tachyons, Boundary Interactions, and the Genus Expansion in String Theory

PhD Thesis at University of British Columbia, 148 pages, 13 figures

null

hep-th

null

This thesis examines the interaction of both bosonic and superstrings with various backgrounds with a view to understanding the interplay between tachyon condensation and world-sheet conformal invariance, and to understanding the overlap of d-branes and closed string modes. We develop the boundary state and show that in a background of interest to tachyon condensation the conformal invariance of the string world-sheet is broken, which suggests a generalized boundary state obtained by integrating over the conformal group of the disk. We find that this prescription reproduces particle emission amplitudes calculated from the string sigma model for both on- and off-shell boundary interactions. The boundary state appears as a coherent superposition of closed string states, and using this observation a proposal for calculating amplitudes beyond tree level is developed. The application of this technique to more general, time dependent backgrounds is also discussed.

[ { "created": "Thu, 4 Sep 2003 15:29:43 GMT", "version": "v1" } ]

2016-09-06

[ [ "Laidlaw", "M.", "" ] ]

This thesis examines the interaction of both bosonic and superstrings with various backgrounds with a view to understanding the interplay between tachyon condensation and world-sheet conformal invariance, and to understanding the overlap of d-branes and closed string modes. We develop the boundary state and show that in a background of interest to tachyon condensation the conformal invariance of the string world-sheet is broken, which suggests a generalized boundary state obtained by integrating over the conformal group of the disk. We find that this prescription reproduces particle emission amplitudes calculated from the string sigma model for both on- and off-shell boundary interactions. The boundary state appears as a coherent superposition of closed string states, and using this observation a proposal for calculating amplitudes beyond tree level is developed. The application of this technique to more general, time dependent backgrounds is also discussed.

10.418962

10.674665

11.875863

10.160342

10.357078

10.610146

10.727199

10.210447

9.885356

12.690979

10.182762

10.511891

10.584183

10.089524

10.104192

10.172076

9.998987

10.194034

10.200465

10.801781

10.012035

2310.04488

Jos\'e Calder\'on-Infante

Jos\'e Calder\'on-Infante, Matilda Delgado, Angel M. Uranga

Emergence of Species Scale Black Hole Horizons

40 pages + appendix, 1 figure; v2: minor corrections, reference added; v3: matches published version

JHEP 01 (2024) 003

10.1007/JHEP01(2024)003

IFT-UAM/CSIC-23-123, CERN-TH-2023-173

hep-th

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

The scale at which quantum gravity becomes manifest, the species scale $\Lambda_s$, has recently been argued to take values parametrically lower than the Planck scale. We use black holes of vanishing horizon area (small black holes) in effective field theories coupled to quantum gravity to shed light on how the three different physical manifestations of the species scale $\Lambda_s$ relate to each other. (i) Near the small black hole core, a scalar field runs to infinite distance in moduli space, a regime in which the Swampland Distance Conjecture predicts a tower of exponentially light states, which lower $\Lambda_s$. (ii) We integrate out modes in the tower and generate via Emergence a set of higher derivative corrections, showing that $\Lambda_s$ is the scale at which such terms become relevant. (iii) Finally, higher derivative terms modify the black hole solution and grant it a non-zero, species scale sized stretched horizon of radius $\Lambda_s^{-1}$, showcasing the species scale as the size of the smallest possible black hole describable in the effective theory. We present explicit 4d examples of small black holes in 4d $\mathcal{N}=2$ supergravity, and the 10d example of type IIA D0-branes. The emergence of the species scale horizon for D0-branes requires a non-trivial interplay of different 8-derivative terms in type IIA and M-theory, providing a highly non-trivial check of our unified description of the different phenomena associated to the species scale.

[ { "created": "Fri, 6 Oct 2023 18:00:00 GMT", "version": "v1" }, { "created": "Thu, 19 Oct 2023 16:04:25 GMT", "version": "v2" }, { "created": "Mon, 8 Jan 2024 18:55:15 GMT", "version": "v3" } ]

2024-01-10

[ [ "Calderón-Infante", "José", "" ], [ "Delgado", "Matilda", "" ], [ "Uranga", "Angel M.", "" ] ]

The scale at which quantum gravity becomes manifest, the species scale $\Lambda_s$, has recently been argued to take values parametrically lower than the Planck scale. We use black holes of vanishing horizon area (small black holes) in effective field theories coupled to quantum gravity to shed light on how the three different physical manifestations of the species scale $\Lambda_s$ relate to each other. (i) Near the small black hole core, a scalar field runs to infinite distance in moduli space, a regime in which the Swampland Distance Conjecture predicts a tower of exponentially light states, which lower $\Lambda_s$. (ii) We integrate out modes in the tower and generate via Emergence a set of higher derivative corrections, showing that $\Lambda_s$ is the scale at which such terms become relevant. (iii) Finally, higher derivative terms modify the black hole solution and grant it a non-zero, species scale sized stretched horizon of radius $\Lambda_s^{-1}$, showcasing the species scale as the size of the smallest possible black hole describable in the effective theory. We present explicit 4d examples of small black holes in 4d $\mathcal{N}=2$ supergravity, and the 10d example of type IIA D0-branes. The emergence of the species scale horizon for D0-branes requires a non-trivial interplay of different 8-derivative terms in type IIA and M-theory, providing a highly non-trivial check of our unified description of the different phenomena associated to the species scale.

8.849694

9.418983

10.018406

8.643272

8.595501

8.742136

8.635013

8.598577

8.305834

10.293231

8.315231

8.426435

9.060472

8.745883

8.370345

8.526972

8.484732

8.57019

8.569234

9.086518

8.455232

1312.1692

Dani\"el Prins

Dani\"el Prins, Dimitrios Tsimpis

IIA supergravity and M-theory on manifolds with SU(4) structure

41 pages. V2: the K3xK3 examples of section 3.2.2 have been generalized to manifestly admit a large-volume limit. Published version

Phys. Rev. D 89, 064030 (2014)

10.1103/PhysRevD.89.064030

null

hep-th

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

We give the general form of supersymmetric backgrounds with two real supercharges of M-theory and type IIA supergravity (with non-zero Romans mass in general) of the form $\mathbb{R}^{1,d} \times \M_8$, d=1,2, on eight-dimensional manifolds with SU(4) structure. We point out a subtlety in the integrability theorems for low-dimensional supersymmetric compactifications. As a special case we examine Calabi-Yau flux vacua and we show that unbroken supersymmetry does not in general require the four-form flux to be (2,2) or primitive. Our results could be used to construct novel higher-dimensional analogues of the Klebanov-Strassler geometry. In the case of M-theory large-volume Calabi-Yau flux vacua our results are in agreement with partial supersymmetry breaking in three-dimensional N=2 supergravity. Alternatively, the conditions for supersymmetry can be expressed in terms of a real `superpotential' in accordance with three-dimensional N=1 supergravity. We present explicit examples of M-theory flux vacua on K3 \times K3, which however do not appear to possess F-theory duals with four-dimensional Poincar\'e invariance.

[ { "created": "Thu, 5 Dec 2013 21:00:03 GMT", "version": "v1" }, { "created": "Thu, 20 Mar 2014 09:37:03 GMT", "version": "v2" } ]

2014-03-21

[ [ "Prins", "Daniël", "" ], [ "Tsimpis", "Dimitrios", "" ] ]

We give the general form of supersymmetric backgrounds with two real supercharges of M-theory and type IIA supergravity (with non-zero Romans mass in general) of the form $\mathbb{R}^{1,d} \times \M_8$, d=1,2, on eight-dimensional manifolds with SU(4) structure. We point out a subtlety in the integrability theorems for low-dimensional supersymmetric compactifications. As a special case we examine Calabi-Yau flux vacua and we show that unbroken supersymmetry does not in general require the four-form flux to be (2,2) or primitive. Our results could be used to construct novel higher-dimensional analogues of the Klebanov-Strassler geometry. In the case of M-theory large-volume Calabi-Yau flux vacua our results are in agreement with partial supersymmetry breaking in three-dimensional N=2 supergravity. Alternatively, the conditions for supersymmetry can be expressed in terms of a real `superpotential' in accordance with three-dimensional N=1 supergravity. We present explicit examples of M-theory flux vacua on K3 \times K3, which however do not appear to possess F-theory duals with four-dimensional Poincar\'e invariance.

6.882708

7.28242

8.020571

6.793283

6.989133

7.697382

7.253104

6.854756

7.039525

8.753168

6.795657

6.978371

7.195125

6.942846

6.946085

6.948688

6.774062

6.876941

6.93162

7.202424

6.716418

1704.05167

Hui Hua Zhao

Hui-Hua Zhao, Li-Chun Zhang, Fang Liu, Ren Zhao

Thermodynamics and critical behaviors of topological dS black holes with nonlinear source

14 pages, 9 figures

null

hep-th

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

We discuss black hole solutions of Einstein gravity in presence of nonlinear electrodynamics in dS spacetime. Considering prescribed entropy, thermodynamic volume of dS spacetime, We investigate properties of the effective thermodynamic quantities under influence of nonlinearity parameter $\alpha$. They show a similar phase transition and criticality properties with that of black holes in AdS spacetime. And the nonlinearity parameter $\alpha$ combined with electric charge is found to have effects on the phase structure. By the Ehrenfest equations we prove the critical phase transition is a second order equilibrium transition.

[ { "created": "Tue, 18 Apr 2017 01:48:26 GMT", "version": "v1" }, { "created": "Sun, 20 Aug 2017 15:54:40 GMT", "version": "v2" } ]

2017-08-22

[ [ "Zhao", "Hui-Hua", "" ], [ "Zhang", "Li-Chun", "" ], [ "Liu", "Fang", "" ], [ "Zhao", "Ren", "" ] ]

We discuss black hole solutions of Einstein gravity in presence of nonlinear electrodynamics in dS spacetime. Considering prescribed entropy, thermodynamic volume of dS spacetime, We investigate properties of the effective thermodynamic quantities under influence of nonlinearity parameter $\alpha$. They show a similar phase transition and criticality properties with that of black holes in AdS spacetime. And the nonlinearity parameter $\alpha$ combined with electric charge is found to have effects on the phase structure. By the Ehrenfest equations we prove the critical phase transition is a second order equilibrium transition.

13.562009

12.221092

12.475078

11.176844

11.185838

12.00633

12.270996

12.323405

12.548652

13.707561

11.68754

12.114907

11.39368

11.85361

11.506429

11.877584

12.015354

11.435004

11.780049

12.061866

11.80452

hep-th/9409130

null

Simone Artz, Luca Mezincescu, and Rafael I. Nepomechie

Spectrum of transfer matrix for $U_q(B_n)$-invariant $A^{(2)}_{2n}$ open spin chain

19 pages, latex, BONN-TH-94-19, UMTG-178

Int.J.Mod.Phys. A10 (1995) 1937-1952

10.1142/S0217751X95000942

null

hep-th

null

We propose an expression for the eigenvalues of the transfer matrix for the $U_q(B_n)$-invariant open quantum spin chain associated with the fundamental representation of $A^{(2)}_{2n}$. By assumption, the Bethe Ansatz equations are ``doubled'' with respect to those of the corresponding closed chain with periodic boundary conditions. We verify that the transfer matrix eigenvalues have the correct analyticity properties and asymptotic behavior. We also briefly discuss the structure of the eigenstates of the transfer matrix.

[ { "created": "Wed, 21 Sep 1994 17:02:21 GMT", "version": "v1" } ]

2015-06-26

[ [ "Artz", "Simone", "" ], [ "Mezincescu", "Luca", "" ], [ "Nepomechie", "Rafael I.", "" ] ]

We propose an expression for the eigenvalues of the transfer matrix for the $U_q(B_n)$-invariant open quantum spin chain associated with the fundamental representation of $A^{(2)}_{2n}$. By assumption, the Bethe Ansatz equations are ``doubled'' with respect to those of the corresponding closed chain with periodic boundary conditions. We verify that the transfer matrix eigenvalues have the correct analyticity properties and asymptotic behavior. We also briefly discuss the structure of the eigenstates of the transfer matrix.

6.218214

5.793706

7.293926

5.330164

5.863195

5.804425

5.251349

5.230047

5.526242

8.069713

5.712633

5.683904

6.77249

5.858692

5.750401

5.800883

5.678082

5.741369

5.629787

6.725974

5.726481

1002.4901

Bin Wang

Xian-Hui Ge, Bin Wang, Shao-Feng Wu, Guo-Hong Yang

Analytical study on holographic superconductors in external magnetic field

revised version, to appear in JHEP

JHEP 1008:108,2010

10.1007/JHEP08(2010)108

null

hep-th gr-qc

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

We investigate the holographic superconductors immersed in an external magnetic field by using the analytical approach. We obtain the spatially dependent condensate solutions in the presence of the magnetism and find analytically that the upper critical magnetic field satisfies the relation given in the Ginzburg-Landau theory. We observe analytically the reminiscent of the Meissner effect where the magnetic field expels the condensate. Extending to the D-dimensional Gauss-Bonnet AdS black holes, we examine the influence given by the Gauss-Bonnet coupling on the condensation. Different from the positive coupling, we find that the negative Gauss-Bonnet coupling enhances the condensation when the external magnetism is not strong enough.

[ { "created": "Fri, 26 Feb 2010 00:08:26 GMT", "version": "v1" }, { "created": "Sat, 14 Aug 2010 04:01:23 GMT", "version": "v2" } ]

2015-03-13

[ [ "Ge", "Xian-Hui", "" ], [ "Wang", "Bin", "" ], [ "Wu", "Shao-Feng", "" ], [ "Yang", "Guo-Hong", "" ] ]

We investigate the holographic superconductors immersed in an external magnetic field by using the analytical approach. We obtain the spatially dependent condensate solutions in the presence of the magnetism and find analytically that the upper critical magnetic field satisfies the relation given in the Ginzburg-Landau theory. We observe analytically the reminiscent of the Meissner effect where the magnetic field expels the condensate. Extending to the D-dimensional Gauss-Bonnet AdS black holes, we examine the influence given by the Gauss-Bonnet coupling on the condensation. Different from the positive coupling, we find that the negative Gauss-Bonnet coupling enhances the condensation when the external magnetism is not strong enough.

6.45705

5.597731

6.362692

5.485978

5.164383

5.390352

5.573246

6.039486

5.670866

6.26768

5.976705

6.230973

6.333274

6.217988

6.044972

6.181112

6.006374

6.169942

6.142728

6.133885

5.978246

hep-th/9411205

Damiano Anselmi

Damiano Anselmi and Pietro Fre'

Gauged Hyperinstantons and Monopole Equations

13 pages, latex, no figures, [revision: a couple of references reordered correctly]

Phys. Lett. B347 (1995) 247

10.1016/0370-2693(95)00033-H

HUTP-94/A041 and SISSA 182/94/EP

hep-th

null

The monopole equations in the dual abelian theory of the N=2 gauge-theory, recently proposed by Witten as a new tool to study topological invariants, are shown to be the simplest elements in a class of instanton equations that follow from the improved topological twist mechanism introduced by the authors in previous papers. When applied to the N=2 sigma-model, this twisting procedure suggested the introduction of the so-called hyperinstantons, or triholomorphic maps. When gauging the sigma-model by coupling it to the vector multiplet of a gauge group G, one gets gauged hyperinstantons that reduce to the Seiberg-Witten equations in the flat case and G=U(1). The deformation of the self-duality condition on the gauge-field strength due to the monopole-hyperinstanton is very similar to the deformation of the self-duality condition on the Riemann curvature previously observed by the authors when the hyperinstantons are coupled to topological gravity. In this paper the general form of the hyperinstantonic equations coupled to both gravity and gauge multiplets is presented.

[ { "created": "Mon, 28 Nov 1994 18:57:01 GMT", "version": "v1" }, { "created": "Mon, 19 Dec 1994 21:51:04 GMT", "version": "v2" } ]

2009-10-28

[ [ "Anselmi", "Damiano", "" ], [ "Fre'", "Pietro", "" ] ]

The monopole equations in the dual abelian theory of the N=2 gauge-theory, recently proposed by Witten as a new tool to study topological invariants, are shown to be the simplest elements in a class of instanton equations that follow from the improved topological twist mechanism introduced by the authors in previous papers. When applied to the N=2 sigma-model, this twisting procedure suggested the introduction of the so-called hyperinstantons, or triholomorphic maps. When gauging the sigma-model by coupling it to the vector multiplet of a gauge group G, one gets gauged hyperinstantons that reduce to the Seiberg-Witten equations in the flat case and G=U(1). The deformation of the self-duality condition on the gauge-field strength due to the monopole-hyperinstanton is very similar to the deformation of the self-duality condition on the Riemann curvature previously observed by the authors when the hyperinstantons are coupled to topological gravity. In this paper the general form of the hyperinstantonic equations coupled to both gravity and gauge multiplets is presented.

8.736227

9.108525

10.237161

9.050789

9.37958

9.439791

9.076539

9.343107

8.85435

11.632899

8.163368

8.400089

9.041244

8.508106

8.600979

8.701327

8.452677

8.449805

8.417221

9.104815

8.463467

0807.1917

Nelson R. F. Braga

C. A. Ballon Bayona, Henrique Boschi-Filho and Nelson R. F. Braga

Deep inelastic scattering from gauge string duality in D3-D7 brane model

V2: We included a new section with several plots comparing the structure functions of the models considered. We moved some calculation details to an appendix. Typos corrected. One reference included. 18 pages. 3 figures containing 9 plots

JHEP 0809:114,2008

10.1088/1126-6708/2008/09/114

null

hep-th hep-ph

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

We calculate deep inelastic structure functions for mesons in the D3-D7 brane model, that incorporates flavour to the AdS/CFT correspondence. We consider two different prescriptions for the hadronic current dual: a gauge field in the AdS bulk and a gauge field on the D7 brane. We also calculate elastic form factors in both cases. We compare our results with other holographic models.

[ { "created": "Fri, 11 Jul 2008 19:36:35 GMT", "version": "v1" }, { "created": "Tue, 26 Aug 2008 19:13:55 GMT", "version": "v2" } ]

2009-02-09

[ [ "Bayona", "C. A. Ballon", "" ], [ "Boschi-Filho", "Henrique", "" ], [ "Braga", "Nelson R. F.", "" ] ]

We calculate deep inelastic structure functions for mesons in the D3-D7 brane model, that incorporates flavour to the AdS/CFT correspondence. We consider two different prescriptions for the hadronic current dual: a gauge field in the AdS bulk and a gauge field on the D7 brane. We also calculate elastic form factors in both cases. We compare our results with other holographic models.

8.396557

7.696694

8.672737

7.30801

8.573916

7.88456

8.178843

7.282605

7.468689

8.418512

8.146919

8.023675

8.671222

7.965992

7.978832

8.157605

8.056859

7.721204

7.959885

8.191336

7.843727

2003.02209

Yusuke Kimura

Extremal 1/2 Calabi-Yau 3-folds and six-dimensional F-theory applications

24 pages. Minor clarifications

Adv.Theor.Math.Phys. 26(2022), 1247-1272

10.4310/ATMP.2022.v26.n5.a6

KEK-TH-2195

hep-th

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

We discuss a method for classifying the singularity types of 1/2 Calabi-Yau 3-folds, a family of rational elliptic 3-folds introduced in a previous study in relation to various U(1) factors in 6D F-theory models. A projective dual pair of del Pezzo manifolds recently studied by Mukai is used to analyze the singularity types. In particular, we studied the maximal rank seven singularity types of 1/2 Calabi-Yau 3-folds. The structures of the singular fibers are analyzed using blow-ups. Double covers of the 1/2 Calabi-Yau 3-folds yield elliptic Calabi-Yau 3-folds and applications to six-dimensional $N = 1$ F-theory on the Calabi-Yau 3-folds are also discussed. The deduced singular fibers have applications in studying the gauge groups formed in 6D F-theory compactifications. The blow-up methods used to analyze the singular fibers and sections utilized in this research might have applications in studying the U(1) factors and hypermultiplets charged under U(1) in 6D F-theory.

[ { "created": "Wed, 4 Mar 2020 17:27:58 GMT", "version": "v1" }, { "created": "Thu, 12 Mar 2020 18:39:18 GMT", "version": "v2" } ]

2023-04-03

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

We discuss a method for classifying the singularity types of 1/2 Calabi-Yau 3-folds, a family of rational elliptic 3-folds introduced in a previous study in relation to various U(1) factors in 6D F-theory models. A projective dual pair of del Pezzo manifolds recently studied by Mukai is used to analyze the singularity types. In particular, we studied the maximal rank seven singularity types of 1/2 Calabi-Yau 3-folds. The structures of the singular fibers are analyzed using blow-ups. Double covers of the 1/2 Calabi-Yau 3-folds yield elliptic Calabi-Yau 3-folds and applications to six-dimensional $N = 1$ F-theory on the Calabi-Yau 3-folds are also discussed. The deduced singular fibers have applications in studying the gauge groups formed in 6D F-theory compactifications. The blow-up methods used to analyze the singular fibers and sections utilized in this research might have applications in studying the U(1) factors and hypermultiplets charged under U(1) in 6D F-theory.

7.984269

7.856308

8.682107

7.596639

8.237316

7.548715

7.966526

7.902282

7.968241

9.489229

7.686466

7.808378

7.999895

7.776501

7.806669

7.589551

7.762164

7.512365

7.652868

8.185541

7.595584

0806.3316

Ken Matsuno

Ken Matsuno, Hideki Ishihara, Toshiharu Nakagawa and Shinya Tomizawa

Rotating Kaluza-Klein Multi-Black Holes with Godel Parameter

19 pages, 4 figures

Phys.Rev.D78:064016,2008

10.1103/PhysRevD.78.064016

OCU-PHYS 301, AP-GR 60, KEK-TH-1255

hep-th gr-qc

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

We obtain new five-dimensional supersymmetric rotating multi-Kaluza-Klein black hole solutions with the Godel parameter in the Einstein-Maxwell system with a Chern-Simons term. These solutions have no closed timelike curve outside the black hole horizons. At the infinity, the space-time is effectively four-dimensional. Each horizon admits various lens space topologies L(n;1)=S^3/Z_n in addition to a round S^3. The space-time can have outer ergoregions disjointed from the black hole horizons, as well as inner ergoregions attached to each horizon. We discuss the rich structures of ergoregions.

[ { "created": "Fri, 20 Jun 2008 09:03:13 GMT", "version": "v1" }, { "created": "Fri, 22 Aug 2008 03:24:27 GMT", "version": "v2" } ]

2011-06-02

[ [ "Matsuno", "Ken", "" ], [ "Ishihara", "Hideki", "" ], [ "Nakagawa", "Toshiharu", "" ], [ "Tomizawa", "Shinya", "" ] ]

We obtain new five-dimensional supersymmetric rotating multi-Kaluza-Klein black hole solutions with the Godel parameter in the Einstein-Maxwell system with a Chern-Simons term. These solutions have no closed timelike curve outside the black hole horizons. At the infinity, the space-time is effectively four-dimensional. Each horizon admits various lens space topologies L(n;1)=S^3/Z_n in addition to a round S^3. The space-time can have outer ergoregions disjointed from the black hole horizons, as well as inner ergoregions attached to each horizon. We discuss the rich structures of ergoregions.

8.752387

7.840096

9.302349

7.343978

7.931599

7.657341

8.555024

7.488693

7.618931

9.937014

7.414113

7.781367

8.194358

7.817794

8.094073

8.109457

7.844198

7.895288

7.859069

8.561961

7.774682

hep-th/0011088

Mario Salizzoni

L.Bonora, M.Salizzoni

Renormalization of noncommutative U(N) gauge theories

12 pages, Latex. v3: calculations redone, conclusions reversed. v4, v5: minor changes

Phys.Lett. B504 (2001) 80-88

10.1016/S0370-2693(01)00281-7

SISSA 105/00/EP

hep-th

null

We give an explicit proof that the noncommutative U(N) gauge theories are one-loop renormalizable

[ { "created": "Fri, 10 Nov 2000 23:39:43 GMT", "version": "v1" }, { "created": "Mon, 13 Nov 2000 19:35:22 GMT", "version": "v2" }, { "created": "Wed, 15 Nov 2000 20:02:58 GMT", "version": "v3" }, { "created": "Thu, 30 Nov 2000 16:33:38 GMT", "version": "v4" }, { "created": "Fri, 1 Dec 2000 19:52:02 GMT", "version": "v5" } ]

2009-10-31

[ [ "Bonora", "L.", "" ], [ "Salizzoni", "M.", "" ] ]

We give an explicit proof that the noncommutative U(N) gauge theories are one-loop renormalizable

16.914383

5.730359

7.631766

6.119469

5.859882

5.381188

6.181179

5.775361

6.006355

7.671202

6.087507

7.375179

8.962458

7.305283

7.899763

7.822991

6.924147

7.677792

7.458728

8.874486

7.469625

1110.6812

Jerzy Kowalski-Glikman

R. Durka and J. Kowalski-Glikman

Local Maxwell symmetry and gravity

6 pages

null

hep-th

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

In this paper we discuss some physical aspects of a theory obtained by gauging the AdS-Maxwell symmetry. Such theory has the form of Einstein gravity coupled to the $\sf{SO(3,1)}$ Yang-Mills field. We notice that there is another tetrad field, which can be associated with linear combination of Lorentz and Maxwell connections. Taking this tetrad as a fundamental variable makes it possible to cast the theory into the form of $f-g$ gravity, in first order formulation. Finally we discuss a simple cosmological model derived from the AdS-Maxwell gravity.

[ { "created": "Mon, 31 Oct 2011 14:48:19 GMT", "version": "v1" } ]

2011-11-01

[ [ "Durka", "R.", "" ], [ "Kowalski-Glikman", "J.", "" ] ]

In this paper we discuss some physical aspects of a theory obtained by gauging the AdS-Maxwell symmetry. Such theory has the form of Einstein gravity coupled to the $\sf{SO(3,1)}$ Yang-Mills field. We notice that there is another tetrad field, which can be associated with linear combination of Lorentz and Maxwell connections. Taking this tetrad as a fundamental variable makes it possible to cast the theory into the form of $f-g$ gravity, in first order formulation. Finally we discuss a simple cosmological model derived from the AdS-Maxwell gravity.

10.435457

9.734764

10.608916

9.738193

9.700232

9.498722

9.53229

9.329243

9.306531

10.141125

9.762086

9.868163

9.405494

9.461606

9.747005

9.410378

9.351561

9.461429

9.563832

9.770659

9.483362

1505.02386

M. Hossein Dehghani

M. H. Dehghani, S. Kamrani and A. Sheykhi

P-V criticality of charged dilatonic black holes

12 pages, 4 figures

Phys. Rev. D 90, 104020 (2014)

10.1103/PhysRevD.90.104020

null

hep-th gr-qc

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

In this paper, we investigate the critical behavior of charged black holes of Einstein-Maxwell-dilaton gravity in the presence of two Liouville-type potentials which make the solution asymptotically neither flat nor AdS and has a parameter $% \Lambda $ treated as a thermodynamic quantity that can vary. We obtain a Smarr-type relation for charged dilatonic black holes and find out that the volume is different from the geometrical volume. We study the analogy of the Van der Waals liquid-gas system with the charged dilatonic black hole system while we treat the black hole charge as a fixed external parameter. Moreover, we show that the critical values for pressure, temperature and volume are physical provided the coupling constant of dilaton gravity is less than one and the horizon is sphere. Finally, we calculate the critical exponents and show that they are universal and are independent of the details of the system although the thermodynamic quantities depend on the dilaton parameter and the dimension of the spacetime.

[ { "created": "Sun, 10 May 2015 14:34:36 GMT", "version": "v1" } ]

2015-05-12

[ [ "Dehghani", "M. H.", "" ], [ "Kamrani", "S.", "" ], [ "Sheykhi", "A.", "" ] ]

In this paper, we investigate the critical behavior of charged black holes of Einstein-Maxwell-dilaton gravity in the presence of two Liouville-type potentials which make the solution asymptotically neither flat nor AdS and has a parameter $% \Lambda $ treated as a thermodynamic quantity that can vary. We obtain a Smarr-type relation for charged dilatonic black holes and find out that the volume is different from the geometrical volume. We study the analogy of the Van der Waals liquid-gas system with the charged dilatonic black hole system while we treat the black hole charge as a fixed external parameter. Moreover, we show that the critical values for pressure, temperature and volume are physical provided the coupling constant of dilaton gravity is less than one and the horizon is sphere. Finally, we calculate the critical exponents and show that they are universal and are independent of the details of the system although the thermodynamic quantities depend on the dilaton parameter and the dimension of the spacetime.

8.095626

7.034992

7.507926

6.802516

7.121769

6.687326

6.946657

6.291743

7.037452

8.048272

7.26627

7.458441

7.927015

7.77216

7.583013

7.429878

7.521914

7.41192

7.643435

7.812085

7.588741

2403.17227

Dmitry Melnikov

Jones polynomials from matrix elements of tangles in a pseudounitary representation

lecture notes, 9 pages, some typos fixed and some references added in this version

null

hep-th math-ph math.MP

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

In these notes we review the calculation of Jones polynomials using a matrix representation of the braid group and Temperley-Lieb algebra. The pseudounitary representation that we consider allows constructing ``states'' from the group/algebra matrices and compute the knot invariants as matrix elements, rather than traces. In comparison with a more standard way of computing the invariants through traces, the matrix element method is more interesting and complete from the point of view of applications. As a byproduct of the discussion we prove a general formula for pretzel knots.

[ { "created": "Mon, 25 Mar 2024 21:59:21 GMT", "version": "v1" }, { "created": "Tue, 14 May 2024 20:44:44 GMT", "version": "v2" } ]

2024-05-16

[ [ "Melnikov", "Dmitry", "" ] ]

In these notes we review the calculation of Jones polynomials using a matrix representation of the braid group and Temperley-Lieb algebra. The pseudounitary representation that we consider allows constructing ``states'' from the group/algebra matrices and compute the knot invariants as matrix elements, rather than traces. In comparison with a more standard way of computing the invariants through traces, the matrix element method is more interesting and complete from the point of view of applications. As a byproduct of the discussion we prove a general formula for pretzel knots.

15.238072

14.637791

16.504129

13.971602

16.678505

15.532423

16.454144

15.895197

14.495302

17.980185

14.113354

13.513065

14.127537

13.73359

13.797066

13.791678

13.3641

13.512008

13.346803

14.060825

13.494909

0912.4268

Daniel Baumann

Daniel Baumann, Anatoly Dymarsky, Shamit Kachru, Igor R. Klebanov, and Liam McAllister

Compactification Effects in D-brane Inflation

4 pages; v2: minor corrections

Phys.Rev.Lett.104:251602,2010

10.1103/PhysRevLett.104.251602

null

hep-th astro-ph.CO hep-ph

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

We determine the scalar potential for a D3-brane in a warped conifold background subject to general ultraviolet perturbations. Incorporating the effects of imaginary anti-self-dual (IASD) fluxes and four-dimensional curvature at the nonlinear level, we compute the leading terms in the D3-brane potential. We then provide strong cross-checks of our results by reproducing them in the dual gauge theory. Finally, we observe that the D3-brane potential induced by nonperturbative effects on D7-branes can be represented by a ten-dimensional supergravity solution containing suitable IASD fluxes. Our method allows for the systematic inclusion of compactification effects and serves to constrain the D3-brane effective action in a large class of stabilized compactifications.

[ { "created": "Mon, 21 Dec 2009 21:04:44 GMT", "version": "v1" }, { "created": "Wed, 3 Feb 2010 16:06:44 GMT", "version": "v2" } ]

2014-11-20

[ [ "Baumann", "Daniel", "" ], [ "Dymarsky", "Anatoly", "" ], [ "Kachru", "Shamit", "" ], [ "Klebanov", "Igor R.", "" ], [ "McAllister", "Liam", "" ] ]

We determine the scalar potential for a D3-brane in a warped conifold background subject to general ultraviolet perturbations. Incorporating the effects of imaginary anti-self-dual (IASD) fluxes and four-dimensional curvature at the nonlinear level, we compute the leading terms in the D3-brane potential. We then provide strong cross-checks of our results by reproducing them in the dual gauge theory. Finally, we observe that the D3-brane potential induced by nonperturbative effects on D7-branes can be represented by a ten-dimensional supergravity solution containing suitable IASD fluxes. Our method allows for the systematic inclusion of compactification effects and serves to constrain the D3-brane effective action in a large class of stabilized compactifications.

9.354767

8.117188

10.157462

8.563893

7.975583

7.93322

7.635279

8.022521

8.364627

10.304167

8.258189

8.971004

9.215765

8.918002

9.009026

8.813949

8.828839

8.644469

8.734058

9.097981

8.790161

1512.07131

Tomas Ortin

Patrick Meessen, Tomas Ortin and Pedro Fernandez-Ramirez

Non-Abelian, supersymmetric black holes and strings in 5 dimensions

37 pages, no figures

null

10.1007/JHEP03(2016)112

FPAUO-15/18 and IFT-UAM/CSIC-15-088

hep-th

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

We construct and study the first supersymmetric black-hole and black-string solutions of non-Abelian-gauged N=1,d=5 supergravity (N=1,d=5 Super-Einstein-Yang-Mills theory) with non-trivial SU(2) gauge fields: BPST instantons for black holes and BPS monopoles of different kinds ('t~Hooft-Polyakov, Wu-Yang and Protogenov) for black strings and also for certain black holes that are well defined solutions only for very specific values of all the moduli. Instantons, as well as colored monopoles do not contribute to the masses and tensions but do contribute to the entropies. The construction is based on the characterization of the supersymmetric solutions of gauged N=1,d=5 supergravity coupled to vector multiplets achieved in Ref. Bellorin:2007yp which we elaborate upon by finding the rules to construct supersymmetric solutions with one additional isometry, both for the timelike and null classes. These rules automatically connect the timelike and null non-Abelian supersymmetric solutions of N=1,d=5 SEYM theory with the timelike ones of N=2,d=4 SEYM theory by dimensional reduction and oxidation. In the timelike-to-timelike case the singular Kronheimer reduction recently studied in Ref. Bueno:2015wva plays a crucial role.

[ { "created": "Tue, 22 Dec 2015 15:44:25 GMT", "version": "v1" } ]

2016-04-20

[ [ "Meessen", "Patrick", "" ], [ "Ortin", "Tomas", "" ], [ "Fernandez-Ramirez", "Pedro", "" ] ]

We construct and study the first supersymmetric black-hole and black-string solutions of non-Abelian-gauged N=1,d=5 supergravity (N=1,d=5 Super-Einstein-Yang-Mills theory) with non-trivial SU(2) gauge fields: BPST instantons for black holes and BPS monopoles of different kinds ('t~Hooft-Polyakov, Wu-Yang and Protogenov) for black strings and also for certain black holes that are well defined solutions only for very specific values of all the moduli. Instantons, as well as colored monopoles do not contribute to the masses and tensions but do contribute to the entropies. The construction is based on the characterization of the supersymmetric solutions of gauged N=1,d=5 supergravity coupled to vector multiplets achieved in Ref. Bellorin:2007yp which we elaborate upon by finding the rules to construct supersymmetric solutions with one additional isometry, both for the timelike and null classes. These rules automatically connect the timelike and null non-Abelian supersymmetric solutions of N=1,d=5 SEYM theory with the timelike ones of N=2,d=4 SEYM theory by dimensional reduction and oxidation. In the timelike-to-timelike case the singular Kronheimer reduction recently studied in Ref. Bueno:2015wva plays a crucial role.

8.242451

9.958076

11.112433

9.177177

9.875041

9.473733

9.734437

9.111969

9.234541

11.547179

9.082478

8.933068

9.416454

8.823638

9.047583

8.728467

8.961543

8.557466

8.797276

9.161405

8.493432

hep-th/0701085

Mohammad Reza Setare

M R Setare

Interacting Holographic Phantom

15 pages, no figures, text extended, references added

Eur.Phys.J.C50:991-998,2007

10.1140/epjc/s10052-007-0262-2

null

hep-th

null

In this paper we consider the holographic model of interacting dark energy in non-flat universe. With the choice of $c\leq 0.84$, the interacting holographic dark energy can be described by a phantom scalar field. Then we show this phantomic description of the holographic dark energy with $c\leq 0.84$ and reconstruct the potential of the phantom scalar field.

[ { "created": "Wed, 10 Jan 2007 11:45:39 GMT", "version": "v1" }, { "created": "Sat, 28 Apr 2007 12:48:59 GMT", "version": "v2" } ]

2008-11-26

[ [ "Setare", "M R", "" ] ]

In this paper we consider the holographic model of interacting dark energy in non-flat universe. With the choice of $c\leq 0.84$, the interacting holographic dark energy can be described by a phantom scalar field. Then we show this phantomic description of the holographic dark energy with $c\leq 0.84$ and reconstruct the potential of the phantom scalar field.

8.80589

6.772253

7.320949

6.561939

7.069463

7.162848

8.012259

5.948275

7.326925

7.106123

7.381525

7.271172

7.365361

7.240137

7.176015

7.596188

7.619226

6.801505

7.912285

6.994603

7.615388

hep-th/0009204

Jean Alexandre

Vacuum polarization in thermal QED with an external magnetic field

12 pages, published version

Phys.Rev. D63 (2001) 073010

10.1103/PhysRevD.63.073010

null

hep-th astro-ph hep-ph

null

The one-loop vacuum polarization tensor is computed in QED with an external constant, homogeneous magnetic field at finite temperature. The Schwinger proper-time formalism is used and the computations are done in Euclidian space. The well-known results are recovered when the temperature and/or the magnetic field are switched off and the effect of the magnetic field on the Debye screening is discussed.

[ { "created": "Tue, 26 Sep 2000 15:09:11 GMT", "version": "v1" }, { "created": "Fri, 6 Oct 2000 15:21:33 GMT", "version": "v2" }, { "created": "Tue, 10 Oct 2000 15:18:55 GMT", "version": "v3" }, { "created": "Mon, 15 Jan 2001 12:41:19 GMT", "version": "v4" } ]

2009-10-31

[ [ "Alexandre", "Jean", "" ] ]

The one-loop vacuum polarization tensor is computed in QED with an external constant, homogeneous magnetic field at finite temperature. The Schwinger proper-time formalism is used and the computations are done in Euclidian space. The well-known results are recovered when the temperature and/or the magnetic field are switched off and the effect of the magnetic field on the Debye screening is discussed.

6.961477

6.535084

6.223726

5.994144

6.322978

6.154542

6.233585

5.595566

5.871694

5.969867

6.375813

6.175358

6.054398

5.906651

6.128331

6.066486

6.291393

6.120636

5.892528

6.083544

6.07688

1311.5743

Walberto Guzm\'an Ram\'irez Walberto Guzm\'an

Walberto Guzm\'an Ram\'irez, Alexei A. Deriglazov and Andrey M. Pupasov-Maksimov

Frenkel electron and a spinning body in a curved background

19 pages, minor changes requested by the referee, references added

JHEP 03 (2014) 109

10.1007/JHEP03(2014)109

null

hep-th gr-qc

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

We develop a variational formulation of a particle with spin in a curved space-time background. The model is based on a singular Lagrangian which provides equations of motion, a fixed value of spin and Frenkel condition on spin-tensor. Comparing our equations with those of Papapetrou we conclude that the Frenkel electron in a gravitational field has the same behavior as a rotating body in the pole-dipole and leading-spin approximation. Due to constraints presented in the formulation, position space is endowed with a noncommutative structure induced by the spin of the particle. Therefore, the model provides a physically interesting example of a noncommutative particle in a curved background.

[ { "created": "Fri, 22 Nov 2013 13:07:36 GMT", "version": "v1" }, { "created": "Mon, 3 Mar 2014 14:48:17 GMT", "version": "v2" } ]

2014-06-19

[ [ "Ramírez", "Walberto Guzmán", "" ], [ "Deriglazov", "Alexei A.", "" ], [ "Pupasov-Maksimov", "Andrey M.", "" ] ]

We develop a variational formulation of a particle with spin in a curved space-time background. The model is based on a singular Lagrangian which provides equations of motion, a fixed value of spin and Frenkel condition on spin-tensor. Comparing our equations with those of Papapetrou we conclude that the Frenkel electron in a gravitational field has the same behavior as a rotating body in the pole-dipole and leading-spin approximation. Due to constraints presented in the formulation, position space is endowed with a noncommutative structure induced by the spin of the particle. Therefore, the model provides a physically interesting example of a noncommutative particle in a curved background.

11.161391

10.957139

9.50811

9.292987

11.783993

11.13483

11.793847

9.80195

10.738574

11.324142

10.342654

10.66521

10.352893

10.239924

10.622751

10.429955

10.291403

10.2517

10.366606

11.372581

10.067502

hep-th/0011054

Fredric Kristiansson

Fredric Kristiansson and Peter Rajan

Wound String Scattering in NCOS Theory

6 pages

Phys.Lett.B502:235-238,2001

10.1016/S0370-2693(01)00204-0

UUITP-09/00

hep-th

null

We calculate the amplitude for a non-excited closed string with nonzero winding number to scatter from a D-string with a near critical E field. We go to the NCOS limit and observe that we get the same result if we adopt another approach put forward by Gomis and Ooguri.

[ { "created": "Wed, 8 Nov 2000 14:46:27 GMT", "version": "v1" } ]

2008-11-26

[ [ "Kristiansson", "Fredric", "" ], [ "Rajan", "Peter", "" ] ]

We calculate the amplitude for a non-excited closed string with nonzero winding number to scatter from a D-string with a near critical E field. We go to the NCOS limit and observe that we get the same result if we adopt another approach put forward by Gomis and Ooguri.

21.099018

16.117971

26.424385

17.481403

16.82193

16.687321

17.367722

16.144941

17.326912

23.452595

15.625798

17.797409

20.003649

17.238041

17.339119

17.377251

16.772907

16.827028

18.35074

19.268503

16.918087

hep-th/9608080

Eduardo Fraga

D.G. Barci, E.S. Fraga and C.A.A. de Carvalho

The Role of Fermions in Bubble Nucleation

15 pages, revtex, 9 figures

Phys.Rev. D55 (1997) 4947-4953

10.1103/PhysRevD.55.4947

null

hep-th cond-mat hep-ph

null

We present a study of the role of fermions in the decay of metastable states of a scalar field via bubble nucleation. We analyze both one and three-dimensional systems by using a gradient expansion for the calculation of the fermionic determinant. The results of the one-dimensional case are compared to the exact results of previous work.

[ { "created": "Tue, 13 Aug 1996 14:22:31 GMT", "version": "v1" }, { "created": "Thu, 15 Aug 1996 14:53:55 GMT", "version": "v2" } ]

2009-10-30

[ [ "Barci", "D. G.", "" ], [ "Fraga", "E. S.", "" ], [ "de Carvalho", "C. A. A.", "" ] ]

We present a study of the role of fermions in the decay of metastable states of a scalar field via bubble nucleation. We analyze both one and three-dimensional systems by using a gradient expansion for the calculation of the fermionic determinant. The results of the one-dimensional case are compared to the exact results of previous work.

9.402321

8.109735

8.356914

7.933018

7.427055

7.9509

7.733281

7.735422

7.467185

8.578222

8.397371

8.264994

8.885569

8.953553

8.265251

8.377189

8.569755

8.515508

8.382853

9.223861

8.630161

1711.09968

Min-Seok Seo

Yuta Hamada, Min-Seok Seo, Gary Shiu

Electromagnetic Duality and the Electric Memory Effect

16 pages, 1 figure, version to appear in JHEP

null

10.1007/JHEP02(2018)046

null

hep-th gr-qc hep-ph

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

We study large gauge transformations for soft photons in quantum electrodynamics which, together with the helicity operator, form an ISO(2) algebra. We show that the two non-compact generators of the ISO(2) algebra correspond respectively to the residual gauge symmetry and its electromagnetic dual gauge symmetry that emerge at null infinity. The former is helicity universal (electric in nature) while the latter is helicity distinguishing (magnetic in nature). Thus, the conventional large gauge transformation is electric in nature, and is naturally associated with a scalar potential. We suggest that the electric Aharonov-Bohm effect is a direct measure for the electromagnetic memory arising from large gauge transformations.

[ { "created": "Mon, 27 Nov 2017 20:21:48 GMT", "version": "v1" }, { "created": "Tue, 6 Feb 2018 02:14:13 GMT", "version": "v2" } ]

2018-04-04

[ [ "Hamada", "Yuta", "" ], [ "Seo", "Min-Seok", "" ], [ "Shiu", "Gary", "" ] ]

We study large gauge transformations for soft photons in quantum electrodynamics which, together with the helicity operator, form an ISO(2) algebra. We show that the two non-compact generators of the ISO(2) algebra correspond respectively to the residual gauge symmetry and its electromagnetic dual gauge symmetry that emerge at null infinity. The former is helicity universal (electric in nature) while the latter is helicity distinguishing (magnetic in nature). Thus, the conventional large gauge transformation is electric in nature, and is naturally associated with a scalar potential. We suggest that the electric Aharonov-Bohm effect is a direct measure for the electromagnetic memory arising from large gauge transformations.

11.150039

10.877206

11.551563

10.332739

11.082913

10.352989

10.764451

10.403121

9.914495

12.705499

10.220936

10.019486

10.412712

9.804219

10.172552

9.832914

9.959138

10.128468

10.131777

10.845964

9.617406

1511.03574

Markos Maniatis

M. Maniatis

Scattering amplitudes abandoning virtual particles

6 pages

null

hep-th

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

We emphasize that scattering amplitudes of a wide class of models to any order in the coupling are constructible by on-shell tree subamplitudes. This follows from the Feynman-tree theorem combined with BCFW on-shell recursion relations. In contrast to the usual Feynman diagrams, no virtual particles appear.

[ { "created": "Wed, 11 Nov 2015 17:05:50 GMT", "version": "v1" }, { "created": "Tue, 17 May 2016 17:26:51 GMT", "version": "v2" } ]

2016-05-18

[ [ "Maniatis", "M.", "" ] ]

We emphasize that scattering amplitudes of a wide class of models to any order in the coupling are constructible by on-shell tree subamplitudes. This follows from the Feynman-tree theorem combined with BCFW on-shell recursion relations. In contrast to the usual Feynman diagrams, no virtual particles appear.

11.674892

9.914093

9.770282

9.545002

9.6667

9.436007

9.687611

9.697268

10.296849

11.454776

9.804605

9.980664

10.187197

10.565274

10.535584

10.42464

10.272118

10.136232

10.017107

10.427488

10.067444

2304.12757

Yue-Zhou Li

Yue-Zhou Li, Jiajie Mei

Bootstrapping Witten diagrams via differential representation in Mellin space

42 pages, 13 figures, latex

null

10.1007/JHEP07(2023)156

null

hep-th

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

We explore the use of the differential representation of AdS amplitudes to compute Witten diagrams. The differential representation expresses AdS amplitudes in terms of conformal generators acting on contact Witten diagrams, which allows us to construct differential equations for Witten diagrams. These differential equations can then be transformed into difference equations in Mellin space, which can be solved recursively. Using this method, we efficiently re-computed scalar four-point amplitudes and obtained new results for scalar six-point amplitudes mediated by gluons and scalars, as well as two examples of scalar eight-point amplitudes from gluon exchange.

[ { "created": "Tue, 25 Apr 2023 12:13:27 GMT", "version": "v1" } ]

2023-08-09

[ [ "Li", "Yue-Zhou", "" ], [ "Mei", "Jiajie", "" ] ]

We explore the use of the differential representation of AdS amplitudes to compute Witten diagrams. The differential representation expresses AdS amplitudes in terms of conformal generators acting on contact Witten diagrams, which allows us to construct differential equations for Witten diagrams. These differential equations can then be transformed into difference equations in Mellin space, which can be solved recursively. Using this method, we efficiently re-computed scalar four-point amplitudes and obtained new results for scalar six-point amplitudes mediated by gluons and scalars, as well as two examples of scalar eight-point amplitudes from gluon exchange.

7.608253

7.047968

7.751914

7.060711

7.320391

6.804096

6.796479

6.972728

6.801993

8.74274

6.427336

7.268316

7.555869

7.090031

7.265704

7.168774

7.107377

7.285844

6.891988

8.069189

6.867609

1511.09441

Louise Dolan

Louise Dolan and Peter Goddard

General Solution of the Scattering Equations

v2 completes the proof that the construction yields \Delta_N for all N, identifies it as the hyperdeterminant of a multidimensional matrix, and proves that the polynomial scattering equations constitute a regular sequence, enabling the Hilbert series of the associated variety to be calculated, 26 pages

null

10.1007/JHEP10(2016)149

null

hep-th

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

The scattering equations, originally introduced by Fairlie and Roberts in 1972 and more recently shown by Cachazo, He and Yuan to provide a kinematic basis for describing tree amplitudes for massless particles in arbitrary space-time dimension, have been reformulated in polynomial form. The scattering equations for N particles are equivalent to N-3 polynomial equations h_m=0, m=1,...,N-3, in N-3 variables, where h_m has degree m and is linear in the individual variables. Facilitated by this linearity, elimination theory is used to construct a single variable polynomial equation of degree (N-3)! determining the solutions. \Delta_N is the sparse resultant of the system of polynomial scattering equations and it can be identified as the hyperdeterminant of a multidimensional matrix of border format within the terminology of Gel'fand, Kapranov and Zelevinsky. Macaulay's Unmixedness Theorem is used to show that the polynomials of the scattering equations constitute a regular sequence, enabling the Hilbert series of the variety determined by the scattering equations to be calculated, independently showing that they have (N-3)! solutions.

[ { "created": "Mon, 30 Nov 2015 19:45:41 GMT", "version": "v1" }, { "created": "Tue, 20 Sep 2016 19:07:34 GMT", "version": "v2" } ]

2016-11-23

[ [ "Dolan", "Louise", "" ], [ "Goddard", "Peter", "" ] ]

The scattering equations, originally introduced by Fairlie and Roberts in 1972 and more recently shown by Cachazo, He and Yuan to provide a kinematic basis for describing tree amplitudes for massless particles in arbitrary space-time dimension, have been reformulated in polynomial form. The scattering equations for N particles are equivalent to N-3 polynomial equations h_m=0, m=1,...,N-3, in N-3 variables, where h_m has degree m and is linear in the individual variables. Facilitated by this linearity, elimination theory is used to construct a single variable polynomial equation of degree (N-3)! determining the solutions. \Delta_N is the sparse resultant of the system of polynomial scattering equations and it can be identified as the hyperdeterminant of a multidimensional matrix of border format within the terminology of Gel'fand, Kapranov and Zelevinsky. Macaulay's Unmixedness Theorem is used to show that the polynomials of the scattering equations constitute a regular sequence, enabling the Hilbert series of the variety determined by the scattering equations to be calculated, independently showing that they have (N-3)! solutions.

7.966545

8.783232

9.091371

7.836069

9.047529

8.666831

8.572536

9.369068

8.299283

9.910382

7.935331

7.98665

7.924369

7.557487

8.071615

7.892463

8.008582

8.104917

7.88368

7.890105

7.724657

0709.3337

Jorgen Rasmussen

Jorgen Rasmussen and Paul A. Pearce

Polynomial Fusion Rings of Logarithmic Minimal Models

18 pages

J.Phys.A41:175210,2008

10.1088/1751-8113/41/17/175210

null

hep-th math-ph math.MP

null

We identify quotient polynomial rings isomorphic to the recently found fundamental fusion algebras of logarithmic minimal models.

[ { "created": "Fri, 21 Sep 2007 03:35:52 GMT", "version": "v1" } ]

2008-11-26

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

We identify quotient polynomial rings isomorphic to the recently found fundamental fusion algebras of logarithmic minimal models.

86.081223

37.130154

62.928173

36.786362

52.599659

40.68388

42.679363

48.699467

41.394642

68.130409

42.806717

45.166866

64.842346

49.111328

50.602295

52.633308

50.302284

45.684193

53.980179

57.595387

46.032379

hep-th/0011130

Boris Pioline

H. Partouche (Polytechnique) and B. Pioline (Harvard and LPTHE)

Rolling among G_2 vacua

25 pages, 2 figures, uses JHEP.cls, section 5 modified

JHEP 0103:005,2001

10.1088/1126-6708/2001/03/005

CPHT-S091.1100, HUTP-00/A044, LPTHE-00-42

hep-th

null

We consider topology-changing transitions between 7-manifolds of holonomy G_2 constructed as a quotient of CY x S^1 by an antiholomorphic involution. We classify involutions for Complete Intersection CY threefolds, focussing primarily on cases without fixed points. The ordinary conifold transition between CY threefolds descends to a transition between G_2 manifolds, corresponding in the N=1 effective theory incorporating the light black hole states either to a change of branch in the scalar potential or to a Higgs mechanism. A simple example of conifold transition with a fixed nodal point is also discussed. As a spin-off, we obtain examples of G_2 manifolds with the same value for the sum of Betti numbers b_2+b_3, and hence potential candidates for mirror manifolds.

[ { "created": "Wed, 15 Nov 2000 02:25:42 GMT", "version": "v1" }, { "created": "Thu, 21 Dec 2000 20:41:53 GMT", "version": "v2" } ]

2014-11-18

[ [ "Partouche", "H.", "", "Polytechnique" ], [ "Pioline", "B.", "", "Harvard and LPTHE" ] ]

We consider topology-changing transitions between 7-manifolds of holonomy G_2 constructed as a quotient of CY x S^1 by an antiholomorphic involution. We classify involutions for Complete Intersection CY threefolds, focussing primarily on cases without fixed points. The ordinary conifold transition between CY threefolds descends to a transition between G_2 manifolds, corresponding in the N=1 effective theory incorporating the light black hole states either to a change of branch in the scalar potential or to a Higgs mechanism. A simple example of conifold transition with a fixed nodal point is also discussed. As a spin-off, we obtain examples of G_2 manifolds with the same value for the sum of Betti numbers b_2+b_3, and hence potential candidates for mirror manifolds.

11.03324

11.385202

13.101605

11.01912

11.28543

10.899233

11.392604

11.246202

10.606013

14.275014

10.013742

10.647092

11.351524

10.575339

10.579049

10.885777

11.053691

11.133511

10.737782

11.42719

10.402915

0802.1783

Jesper Grimstrup

Johannes Aastrup, Jesper M. Grimstrup, Ryszard Nest

On Spectral Triples in Quantum Gravity I

84 pages, 8 figures

null

10.1088/0264-9381/26/6/065011

null

hep-th gr-qc

null

This paper establishes a link between Noncommutative Geometry and canonical quantum gravity. A semi-finite spectral triple over a space of connections is presented. The triple involves an algebra of holonomy loops and a Dirac type operator which resembles a global functional derivation operator. The interaction between the Dirac operator and the algebra reproduces the Poisson structure of General Relativity. Moreover, the associated Hilbert space corresponds, up to a discrete symmetry group, to the Hilbert space of diffeomorphism invariant states known from Loop Quantum Gravity. Correspondingly, the square of the Dirac operator has, in terms of canonical quantum gravity, the form of a global area-squared operator. Furthermore, the spectral action resembles a partition function of Quantum Gravity. The construction is background independent and is based on an inductive system of triangulations. This paper is the first of two papers on the subject.

[ { "created": "Wed, 13 Feb 2008 11:12:49 GMT", "version": "v1" } ]

2009-11-13

[ [ "Aastrup", "Johannes", "" ], [ "Grimstrup", "Jesper M.", "" ], [ "Nest", "Ryszard", "" ] ]

This paper establishes a link between Noncommutative Geometry and canonical quantum gravity. A semi-finite spectral triple over a space of connections is presented. The triple involves an algebra of holonomy loops and a Dirac type operator which resembles a global functional derivation operator. The interaction between the Dirac operator and the algebra reproduces the Poisson structure of General Relativity. Moreover, the associated Hilbert space corresponds, up to a discrete symmetry group, to the Hilbert space of diffeomorphism invariant states known from Loop Quantum Gravity. Correspondingly, the square of the Dirac operator has, in terms of canonical quantum gravity, the form of a global area-squared operator. Furthermore, the spectral action resembles a partition function of Quantum Gravity. The construction is background independent and is based on an inductive system of triangulations. This paper is the first of two papers on the subject.

6.207994

7.172545

7.35425

6.734759

6.948835

6.416033

7.065434

7.102182

7.129828

8.133694

6.946968

6.345191

6.550925

6.697477

6.519661

6.579789

6.624851

6.436342

6.751088

6.674661

6.696643

hep-th/0203077

Alexander Kling

Manfred Herbst, Alexander Kling, Maximilian Kreuzer

Non-commutative tachyon action and D-brane geometry

12 pages, no figures

JHEP 0208:010,2002

10.1088/1126-6708/2002/08/010

TUW-02-06, ITP-UH-04/02

hep-th

null

We analyse open string correlators in non-constant background fields, including the metric $g$, the antisymmetric $B$-field, and the gauge field $A$. Working with a derivative expansion for the background fields, but exact in their constant parts, we obtain a tachyonic on-shell condition for the inserted functions and extract the kinetic term for the tachyon action. The 3-point correlator yields a non-commutative tachyon potential. We also find a remarkable feature of the differential structure on the D-brane: Although the boundary metric $G$ plays an essential role in the action, the natural connection on the D-brane is the same as in closed string theory, i.e. it is compatible with the bulk metric and has torsion $H=dB$. This means, in particular, that the parallel transport on the brane is independent of the gauge field $A$.

[ { "created": "Fri, 8 Mar 2002 17:33:33 GMT", "version": "v1" } ]

2010-02-03

[ [ "Herbst", "Manfred", "" ], [ "Kling", "Alexander", "" ], [ "Kreuzer", "Maximilian", "" ] ]

We analyse open string correlators in non-constant background fields, including the metric $g$, the antisymmetric $B$-field, and the gauge field $A$. Working with a derivative expansion for the background fields, but exact in their constant parts, we obtain a tachyonic on-shell condition for the inserted functions and extract the kinetic term for the tachyon action. The 3-point correlator yields a non-commutative tachyon potential. We also find a remarkable feature of the differential structure on the D-brane: Although the boundary metric $G$ plays an essential role in the action, the natural connection on the D-brane is the same as in closed string theory, i.e. it is compatible with the bulk metric and has torsion $H=dB$. This means, in particular, that the parallel transport on the brane is independent of the gauge field $A$.

9.438542

8.163241

9.840555

8.86711

9.040631

8.244536

8.802193

8.629351

8.479774

11.002652

8.290936

8.699209

9.124088

8.674342

8.655518

8.725422

8.740355

8.779813

8.64011

9.215866

8.814754

2103.16580

Yunfeng Jiang

Peihe Yang, Yunfeng Jiang, Shota Komatsu, Jun-Bao Wu

D-branes and Orbit Average

References added, typos corrected

SciPost Phys. 12, 055 (2022)

10.21468/SciPostPhys.12.2.055

CERN-TH-2021-043, USTC-ICTS/PCFT-21-15

hep-th gr-qc

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

We study correlation functions of D-branes and a supergravity mode in AdS, which are dual to structure constants of two sub-determinant operators with large charge and a BPS single-trace operator. Our approach is inspired by the large charge expansion of CFT and resolves puzzles and confusions in the literature on the holographic computation of correlation functions of heavy operators. In particular, we point out two important effects which are often missed in the literature; the first one is an average over classical configurations of the heavy state, which physically amounts to projecting the state to an eigenstate of quantum numbers. The second one is the contribution from wave functions of the heavy state. To demonstrate the power of the method, we first analyze the three-point functions in $\mathcal{N}=4$ super Yang-Mills and reproduce the results in field theory from holography, including the cases for which the previous holographic computation gives incorrect answers. We then apply it to ABJM theory and make solid predictions at strong coupling. Finally we comment on possible applications to states dual to black holes and fuzzballs.

[ { "created": "Tue, 30 Mar 2021 18:00:07 GMT", "version": "v1" }, { "created": "Wed, 7 Apr 2021 20:32:48 GMT", "version": "v2" }, { "created": "Thu, 9 Sep 2021 08:39:07 GMT", "version": "v3" } ]

2022-02-09

[ [ "Yang", "Peihe", "" ], [ "Jiang", "Yunfeng", "" ], [ "Komatsu", "Shota", "" ], [ "Wu", "Jun-Bao", "" ] ]

We study correlation functions of D-branes and a supergravity mode in AdS, which are dual to structure constants of two sub-determinant operators with large charge and a BPS single-trace operator. Our approach is inspired by the large charge expansion of CFT and resolves puzzles and confusions in the literature on the holographic computation of correlation functions of heavy operators. In particular, we point out two important effects which are often missed in the literature; the first one is an average over classical configurations of the heavy state, which physically amounts to projecting the state to an eigenstate of quantum numbers. The second one is the contribution from wave functions of the heavy state. To demonstrate the power of the method, we first analyze the three-point functions in $\mathcal{N}=4$ super Yang-Mills and reproduce the results in field theory from holography, including the cases for which the previous holographic computation gives incorrect answers. We then apply it to ABJM theory and make solid predictions at strong coupling. Finally we comment on possible applications to states dual to black holes and fuzzballs.

8.937939

8.523659

10.324955

8.628935

8.928541

8.500513

9.285357

8.187397

8.037102

10.959438

8.489943

8.855824

9.30455

8.57307

8.852172

8.618989

8.706347

8.699993

8.671167

9.360655

8.668065

0811.1198

J. Gamboa

J. Lopez-Sarrion, Paola Arias, J. Gamboa

SU(2) Kinetic Mixing Terms and Spontaneous Symmetry Breaking

9pp. typos and clarifications are added

Mod.Phys.Lett.A24:2539-2550,2009

10.1142/S0217732309030898

null

hep-th hep-ph

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

The non-abelian generalization of the Holdom model --{\it i.e.} a theory with two gauge fields coupled to the kinetic mixing term $g {tr}(F_{\mu \nu} (A) F_{\mu \nu} (B))$-- is considered. Contrarily to the abelian case, the group structure $G\times G$ is explicitly broken to $G$. For SU(2) this fact implies that the residual gauge symmetry as well as the Lorentz symmetry is spontaneusly broken. We show that this mechanism provides of masses for the involved particles. Also, the model presents instanton solutions with a redefined coupling constant.

[ { "created": "Fri, 7 Nov 2008 18:25:31 GMT", "version": "v1" }, { "created": "Thu, 13 Nov 2008 14:28:55 GMT", "version": "v2" } ]

2009-11-05

[ [ "Lopez-Sarrion", "J.", "" ], [ "Arias", "Paola", "" ], [ "Gamboa", "J.", "" ] ]

The non-abelian generalization of the Holdom model --{\it i.e.} a theory with two gauge fields coupled to the kinetic mixing term $g {tr}(F_{\mu \nu} (A) F_{\mu \nu} (B))$-- is considered. Contrarily to the abelian case, the group structure $G\times G$ is explicitly broken to $G$. For SU(2) this fact implies that the residual gauge symmetry as well as the Lorentz symmetry is spontaneusly broken. We show that this mechanism provides of masses for the involved particles. Also, the model presents instanton solutions with a redefined coupling constant.

10.642623

9.526782

9.708543

8.901625

10.085972

10.639097

9.868798

9.031826

9.155604

10.482432

9.646902

9.759937

10.023753

9.145169

9.700341

9.346788

9.989475

9.57828

9.572941

9.676105

9.292444

1401.5672

Thomas Mohaupt

Vicente Cort\'es, Paul Dempster and Thomas Mohaupt

Time-like reductions of five-dimensional supergravity

41 pages. Minor revision: one reference and comments added

null

10.1007/JHEP04(2014)190

LTH 1003, ZMP-HH/14-4

hep-th math.DG

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

In this paper we study the scalar geometries occurring in the dimensional reduction of minimal five-dimensional supergravity to three Euclidean dimensions, and find that these depend on whether one first reduces over space or over time. In both cases the scalar manifold of the reduced theory is described as an eight-dimensional Lie group $L$ (the Iwasawa subgroup of $G_{2(2)}$) with a left-invariant para-quaternionic-K\"ahler structure. We show that depending on whether one reduces first over space or over time, the group $L$ is mapped to two different open $L$-orbits on the pseudo-Riemannian symmetric space $G_{2(2)}/(SL(2) \cdot SL(2))$. These two orbits are inequivalent in the sense that they are distinguished by the existence of integrable $L$-invariant complex or para-complex structures.

[ { "created": "Wed, 22 Jan 2014 14:02:38 GMT", "version": "v1" }, { "created": "Thu, 20 Feb 2014 10:44:36 GMT", "version": "v2" } ]

2015-06-18

[ [ "Cortés", "Vicente", "" ], [ "Dempster", "Paul", "" ], [ "Mohaupt", "Thomas", "" ] ]

In this paper we study the scalar geometries occurring in the dimensional reduction of minimal five-dimensional supergravity to three Euclidean dimensions, and find that these depend on whether one first reduces over space or over time. In both cases the scalar manifold of the reduced theory is described as an eight-dimensional Lie group $L$ (the Iwasawa subgroup of $G_{2(2)}$) with a left-invariant para-quaternionic-K\"ahler structure. We show that depending on whether one reduces first over space or over time, the group $L$ is mapped to two different open $L$-orbits on the pseudo-Riemannian symmetric space $G_{2(2)}/(SL(2) \cdot SL(2))$. These two orbits are inequivalent in the sense that they are distinguished by the existence of integrable $L$-invariant complex or para-complex structures.

5.618592

5.950258

6.574108

5.725118

5.953131

5.786143

5.722554

5.983999

5.550333

6.880182

5.445051

5.602351

5.7916

5.427236

5.567544

5.698651

5.728344

5.61612

5.617524

5.850274

5.541125

2307.13418

Yang Li

Yang Li, Diederik Roest, and Tonnis ter Veldhuis

Hybrid Goldstone Modes from the Double Copy Bootstrap

8 pages, 3 tables; v2: version to appear in PRL

null

hep-th

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

We perform a systematic classification of scalar field theories whose amplitudes admit a double copy formulation and identify two building blocks at 4-point and 13 at 5-point. Using the 4-point blocks as bootstrap seeds, this naturally leads to a single copy theory that is a gauged NLSM. Moreover, its double copy includes a novel theory that can be written in terms of Lovelock invariants of an induced metric, and includes Dirac-Born-Infeld and the special Galileon in specific limits. The amplitudes of these Goldstone modes have two distinct soft behaviour regimes, corresponding to a hybrid of non-linear symmetries.

[ { "created": "Tue, 25 Jul 2023 11:30:39 GMT", "version": "v1" }, { "created": "Tue, 30 Apr 2024 10:04:46 GMT", "version": "v2" } ]

2024-05-01

[ [ "Li", "Yang", "" ], [ "Roest", "Diederik", "" ], [ "ter Veldhuis", "Tonnis", "" ] ]

We perform a systematic classification of scalar field theories whose amplitudes admit a double copy formulation and identify two building blocks at 4-point and 13 at 5-point. Using the 4-point blocks as bootstrap seeds, this naturally leads to a single copy theory that is a gauged NLSM. Moreover, its double copy includes a novel theory that can be written in terms of Lovelock invariants of an induced metric, and includes Dirac-Born-Infeld and the special Galileon in specific limits. The amplitudes of these Goldstone modes have two distinct soft behaviour regimes, corresponding to a hybrid of non-linear symmetries.

16.504322

15.137202

17.40143

15.22497

15.02665

16.88599

16.988031

13.625647

15.558728

17.805384

14.243237

15.194081

16.133812

15.782998

15.323412

15.251648

14.582574

15.3581

15.688781

15.533431

14.604215

hep-th/9303077

Mike Clayton

M. A. Clayton, L. Demopoulos, J. W. Moffat

Abelian Anomalies in Nonlocal Regularization

21 pages, UTPT-93-05

Int. Journ. Mod. Phys. A9 (1994) Pg. 4549-4564

10.1142/S0217751X94001801

null

hep-th

null

Nonlocal regularization of QED is shown to possess an axial anomaly of the same form as other regularization schemes. The Noether current is explicitly constructed and the symmetries are shown to be violated, whereas the identities constructed when one properly considers the contribution from the path integral measure are respected. We also discuss the barrier to quantizing the fully gauged chiral invariant theory, and consequences.

[ { "created": "Fri, 12 Mar 1993 16:43:32 GMT", "version": "v1" } ]

2015-06-26

[ [ "Clayton", "M. A.", "" ], [ "Demopoulos", "L.", "" ], [ "Moffat", "J. W.", "" ] ]

Nonlocal regularization of QED is shown to possess an axial anomaly of the same form as other regularization schemes. The Noether current is explicitly constructed and the symmetries are shown to be violated, whereas the identities constructed when one properly considers the contribution from the path integral measure are respected. We also discuss the barrier to quantizing the fully gauged chiral invariant theory, and consequences.

23.681973

20.223206

22.167889

18.968899

22.047806

20.810072

20.779278

19.30275

19.403759

22.551489

19.839979

19.903227

19.863119

19.07234

19.326735

19.779591

19.687939

19.738398

18.603449

20.211878

19.777708

hep-th/9409107

Name

A.Candiello, K.Lechner and M.Tonin

k-Anomalies and Space-Time Supersymmetry in the Green-Schwarz Heterotic Superstring

50 pages, latex (uses equations.sty, feynman.tex and a4.sty), DFPD/94/TH/43

Nucl.Phys. B438 (1995) 67-108

10.1016/0550-3213(95)00017-M

null

hep-th

null

The computation of $\kappa$-anomalies in the Green-Schwarz heterotic superstring sigma-model and the corresponding Wess-Zumino consistency condition constitute a powerful alternative approach for the derivation of manifestly supersymmetric string effective actions. With respect to the beta-function approach this technique presents the advantage that a result which is obtained with the computation of beta-functions at $n$ loops can be obtained through the calculation of $\kappa$-anomalies at \hbox{$n-1$} loops. In this paper we derive by a direct one-loop perturbative computation the $\kappa$-anomaly associated to the Yang-Mills Chern-Simons threeform and, for the first time, the one associated to the Lorentz Chern-Simons threeform. Contrary to what is often stated in the literature we show that the Lorentz $\kappa$-anomaly gets contributions from the integration over both the fermionic {\it and\/} bosonic degrees of freedom of the string. A careful analysis of the absolute coefficients of all these anomalies reveals that they can be absorbed by setting $dH={\alpha'\over4}(\trace F^2-\trace R^2)$, where $\alpha'$ is the string tension, the expected result. We show that this relation ensures also the absence of gauge and Lorentz anomalies in the sigma-model effective action. We evidenciate the presence of infrared divergences.

[ { "created": "Mon, 19 Sep 1994 17:15:04 GMT", "version": "v1" } ]

2009-10-28

[ [ "Candiello", "A.", "" ], [ "Lechner", "K.", "" ], [ "Tonin", "M.", "" ] ]

The computation of $\kappa$-anomalies in the Green-Schwarz heterotic superstring sigma-model and the corresponding Wess-Zumino consistency condition constitute a powerful alternative approach for the derivation of manifestly supersymmetric string effective actions. With respect to the beta-function approach this technique presents the advantage that a result which is obtained with the computation of beta-functions at $n$ loops can be obtained through the calculation of $\kappa$-anomalies at \hbox{$n-1$} loops. In this paper we derive by a direct one-loop perturbative computation the $\kappa$-anomaly associated to the Yang-Mills Chern-Simons threeform and, for the first time, the one associated to the Lorentz Chern-Simons threeform. Contrary to what is often stated in the literature we show that the Lorentz $\kappa$-anomaly gets contributions from the integration over both the fermionic {\it and\/} bosonic degrees of freedom of the string. A careful analysis of the absolute coefficients of all these anomalies reveals that they can be absorbed by setting $dH={\alpha'\over4}(\trace F^2-\trace R^2)$, where $\alpha'$ is the string tension, the expected result. We show that this relation ensures also the absence of gauge and Lorentz anomalies in the sigma-model effective action. We evidenciate the presence of infrared divergences.

7.23138

7.100393

7.554995

6.878916

7.25305

7.050408

7.193685

6.959923

6.572703

8.050428

6.864293

6.756218

6.76004

6.666458

6.564822

6.892346

6.810653

6.750936

6.683247

7.008224

6.741186

1204.1330

Mark Van Raamsdonk

Bartlomiej Czech, Joanna L. Karczmarek, Fernando Nogueira, Mark Van Raamsdonk

The Gravity Dual of a Density Matrix

19 pages, LaTeX, 8 figures, v2: footnote and reference added

null

10.1088/0264-9381/29/15/155009

null

hep-th gr-qc

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

For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In the context of the AdS/CFT correspondence, if the original state has a dual bulk spacetime with a good classical description, it is natural to ask how much information about the bulk spacetime is carried by the density matrix for such a subset of field theory degrees of freedom. In this note, we provide several constraints on the largest region that can be fully reconstructed, and discuss specific proposals for the geometric construction of this dual region.

[ { "created": "Thu, 5 Apr 2012 19:50:28 GMT", "version": "v1" }, { "created": "Thu, 10 May 2012 22:14:00 GMT", "version": "v2" } ]

2015-06-04

[ [ "Czech", "Bartlomiej", "" ], [ "Karczmarek", "Joanna L.", "" ], [ "Nogueira", "Fernando", "" ], [ "Van Raamsdonk", "Mark", "" ] ]

For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In the context of the AdS/CFT correspondence, if the original state has a dual bulk spacetime with a good classical description, it is natural to ask how much information about the bulk spacetime is carried by the density matrix for such a subset of field theory degrees of freedom. In this note, we provide several constraints on the largest region that can be fully reconstructed, and discuss specific proposals for the geometric construction of this dual region.

8.902552

7.517204

9.625862

7.86677

7.612839

8.223574

8.033966

7.900246

8.112584

10.417144

7.385771

7.650932

8.140789

7.801044

7.762513

7.392189

7.65489

7.662603

7.5415

8.136209

7.542205

hep-th/9910084

Libin Fu

Yishi Duan, Libin Fu and Hong Zhang

Topological current of point defects and its bifurcation

revtex,14 pages,no figure

Mod.Phys.Lett. A14 (1999) 2011-2023

10.1142/S0217732399002078

null

hep-th

null

From the topological properties of a three dimensional vector order parameter, the topological current of point defects is obtained. One shows that the charge of point defects is determined by Hopf indices and Brouwer degrees. The evolution of point defects is also studied. One concludes that there exist crucial cases of branch processes in the evolution of point defects when the Jacobian $D(\frac \phi x)=0$.

[ { "created": "Sat, 9 Oct 1999 07:13:15 GMT", "version": "v1" } ]

2009-10-31

[ [ "Duan", "Yishi", "" ], [ "Fu", "Libin", "" ], [ "Zhang", "Hong", "" ] ]

From the topological properties of a three dimensional vector order parameter, the topological current of point defects is obtained. One shows that the charge of point defects is determined by Hopf indices and Brouwer degrees. The evolution of point defects is also studied. One concludes that there exist crucial cases of branch processes in the evolution of point defects when the Jacobian $D(\frac \phi x)=0$.

18.851677

13.836593

17.427084

14.27173

14.652246

12.715951

14.303228

12.53075

13.737968

20.2938

15.325623

15.806255

16.690384

16.455931

14.844199

15.620938

15.882563

15.851939

16.437241

16.383924

15.463309

hep-th/0112134

Alexandr Yelnikov

Noncommutative quantum mechanics in the presence of delta-function potentials

7 pages, 1 figure, RevTeX4

null

hep-th

null

Quantum mechanics in the presence of $\delta$-function potentials is known to be plagued by UV divergencies which result from the singular nature of the potentials in question. The standard method for dealing with these divergencies is by constructing self-adjoint extensions of the corresponding Hamiltonians. Two particularly interesting examples of this kind are nonrelativistic spin zero particles in $\delta$-function potential and Dirac particles in Aharonov-Bohm magnetic background. In this paper we show that by extending the corresponding Schr\"odinger and Dirac equations onto the flat noncommutative space a well-defined quantum theory can be obtained. Using a star product and Fock space formalisms we construct the complete sets of eigenfunctions and eigenvalues in both cases which turn out to be finite.

[ { "created": "Fri, 14 Dec 2001 22:10:35 GMT", "version": "v1" } ]

2007-05-23

[ [ "Yelnikov", "Alexandr", "" ] ]

Quantum mechanics in the presence of $\delta$-function potentials is known to be plagued by UV divergencies which result from the singular nature of the potentials in question. The standard method for dealing with these divergencies is by constructing self-adjoint extensions of the corresponding Hamiltonians. Two particularly interesting examples of this kind are nonrelativistic spin zero particles in $\delta$-function potential and Dirac particles in Aharonov-Bohm magnetic background. In this paper we show that by extending the corresponding Schr\"odinger and Dirac equations onto the flat noncommutative space a well-defined quantum theory can be obtained. Using a star product and Fock space formalisms we construct the complete sets of eigenfunctions and eigenvalues in both cases which turn out to be finite.

6.575198

5.962209

6.490028

5.966697

6.232524

6.735584

6.469847

5.493618

5.820651

6.972969

5.707311

5.991886

6.312986

5.925467

5.921855

5.876439

5.936306

5.980351

5.873778

6.112182

5.922337

2101.10116

Mu-In Park

Deniz O. Devecioglu and Mu-In Park

No Scalar-Haired Cauchy Horizon Theorem in Einstein-Maxwell-Horndeski Theories

More readable plots, Clarifications on Einstein coupling gamma, Added appendix on regularity condition at the horizons, Added footnote and reference, Typos corrected, 15 pages, 2 figures, Accepted in PLB

null

10.1016/j.physletb.2022.137107

null

hep-th gr-qc

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

Recently, a no inner (Cauchy) horizon theorem for static black holes with non-trivial scalar hairs has been proved in Einstein-Maxwell-scalar theories. In this paper, we extend the theorem to the static black holes in Einstein-Maxwell-Horndeski theories. We study the black hole interior geometry for some exact solutions and find that the spacetime has a (space-like) curvature singularity where the black hole mass gets an extremum and the Hawking temperature vanishes. We discuss further extensions of the theorem, including general Horndeski theories from disformal transformations.

[ { "created": "Mon, 25 Jan 2021 14:27:42 GMT", "version": "v1" }, { "created": "Wed, 3 Feb 2021 13:15:41 GMT", "version": "v2" }, { "created": "Mon, 11 Apr 2022 06:46:17 GMT", "version": "v3" } ]

2022-04-20

[ [ "Devecioglu", "Deniz O.", "" ], [ "Park", "Mu-In", "" ] ]

Recently, a no inner (Cauchy) horizon theorem for static black holes with non-trivial scalar hairs has been proved in Einstein-Maxwell-scalar theories. In this paper, we extend the theorem to the static black holes in Einstein-Maxwell-Horndeski theories. We study the black hole interior geometry for some exact solutions and find that the spacetime has a (space-like) curvature singularity where the black hole mass gets an extremum and the Hawking temperature vanishes. We discuss further extensions of the theorem, including general Horndeski theories from disformal transformations.

8.987924

6.534002

7.499481

6.741383

7.050671

6.442976

7.144248

6.316159

6.775954

7.503303

6.899703

7.26839

7.713887

7.315453

7.165926

7.079317

7.514751

7.072615

7.599311

7.760163

7.209621

hep-th/0011211

Peter Austing

The Cohomological Supercharge

12 pages, latex, no figures. Typo corrected in eqn 3.3

JHEP 0101:009,2001

10.1088/1126-6708/2001/01/009

OUTP-00-52P

hep-th

null

We discuss the supersymmetry operator in the cohomological formulation of dimensionally reduced SYM. By establishing the cohomology, a large class of invariants are classified.

[ { "created": "Thu, 23 Nov 2000 12:29:31 GMT", "version": "v1" }, { "created": "Wed, 16 May 2001 13:50:24 GMT", "version": "v2" } ]

2010-02-03

[ [ "Austing", "Peter", "" ] ]

We discuss the supersymmetry operator in the cohomological formulation of dimensionally reduced SYM. By establishing the cohomology, a large class of invariants are classified.

22.163931

17.338779

20.763744

16.833138

18.353273

18.420481

17.78912

15.635235

16.152721

24.513588

16.066576

16.367132

20.051161

17.339603

16.893599

16.71623

16.931261

17.398161

16.584148

20.587492

16.232071

hep-th/9402061

null

Igor Vaysburd

Integrable Perturbations of $W_n$ and WZW Models

10p., LaTeX, preprint SISSA 19/94/FM (references added)

Phys.Lett. B335 (1994) 161-167

10.1016/0370-2693(94)91407-9

null

hep-th

null

We present a new class of 2d integrable models obtained as perturbations of minimal CFT with W-symmetry by fundamental weight primaries. These models are generalisations of well known $(1,2)$-perturbed Virasoro minimal models. In the large $p$ (number of minimal model) limit they coincide with scalar perturbations of WZW theories. The algebra of conserved charges is discussed in this limit. We prove that it is noncommutative and coincides with twisted affine algebra $G$ represented in a space of asymptotic states. We conjecture that scattering in these models for generic $p$ is described by $S$-matrix of the $q$-deformed $G$ - algebra with $q$ being root of unity.

[ { "created": "Thu, 10 Feb 1994 13:13:10 GMT", "version": "v1" }, { "created": "Tue, 7 Jun 1994 12:28:17 GMT", "version": "v2" } ]

2009-10-28

[ [ "Vaysburd", "Igor", "" ] ]

We present a new class of 2d integrable models obtained as perturbations of minimal CFT with W-symmetry by fundamental weight primaries. These models are generalisations of well known $(1,2)$-perturbed Virasoro minimal models. In the large $p$ (number of minimal model) limit they coincide with scalar perturbations of WZW theories. The algebra of conserved charges is discussed in this limit. We prove that it is noncommutative and coincides with twisted affine algebra $G$ represented in a space of asymptotic states. We conjecture that scattering in these models for generic $p$ is described by $S$-matrix of the $q$-deformed $G$ - algebra with $q$ being root of unity.

9.353844

8.689325

10.961053

8.612074

9.781635

9.329223

8.4289

8.803264

8.459487

12.313913

8.290576

9.191645

9.569185

8.650683

8.741535

8.818294

8.840388

8.612178

8.890017

10.055965

8.529546

hep-th/9408028

null

Nelson R.F. Braga and Ashok Das

A superspace formulation of the BV action

20 pages

Nucl.Phys.B442:655-668,1995

10.1016/0550-3213(95)00088-A

UR1366, ER40685-816

hep-th

null

We show that the BV (Batalin Vilkovisky) action, formulated with an extended BRST symmetry (including the shift symmetry), is also invariant under an extended anti-BRST transformation (where the antifields are the parameters of the transformation), when the gauge fixing Lagrangian is both BRST and anti-BRST invariant. We show that for a general gauge fixing Lagrangian, the BV action can be written in a manifestly extended BRST invariant manner in a superspace with one Grassmann coordinate whereas it can be expressed in a manifestly extended BRST and anti-BRST invariant manner in a superspace with two Grassmann coordinates when the gauge fixing Lagrangian is invariant under both BRST and anti-BRST transformations.

[ { "created": "Thu, 4 Aug 1994 21:02:17 GMT", "version": "v1" } ]

2008-11-26

[ [ "Braga", "Nelson R. F.", "" ], [ "Das", "Ashok", "" ] ]

We show that the BV (Batalin Vilkovisky) action, formulated with an extended BRST symmetry (including the shift symmetry), is also invariant under an extended anti-BRST transformation (where the antifields are the parameters of the transformation), when the gauge fixing Lagrangian is both BRST and anti-BRST invariant. We show that for a general gauge fixing Lagrangian, the BV action can be written in a manifestly extended BRST invariant manner in a superspace with one Grassmann coordinate whereas it can be expressed in a manifestly extended BRST and anti-BRST invariant manner in a superspace with two Grassmann coordinates when the gauge fixing Lagrangian is invariant under both BRST and anti-BRST transformations.

4.753163

4.099643

4.802794

4.099607

4.342031

3.905344

4.117149

4.05588

4.165581

5.506365

4.174917

4.460688

4.657404

4.403488

4.334307

4.477841

4.400607

4.362271

4.435301

4.673069

4.41119

1703.03776

Franz Herzog

Franz Herzog and Ben Ruijl

The R*-operation for Feynman graphs with generic numerators

38 pages, lots of graphs; minor typos corrected and references added

JHEP 1705 (2017) 037

10.1007/JHEP05(2017)037

null

hep-th hep-ph

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

The R*-operation by Chetyrkin, Tkachov, and Smirnov is a generalisation of the BPHZ R-operation, which subtracts both ultraviolet and infrared divergences of euclidean Feynman graphs with non-exceptional external momenta. It can be used to compute the divergent parts of such Feynman graphs from products of simpler Feynman graphs of lower loops. In this paper we extend the R*-operation to Feynman graphs with arbitrary numerators, including tensors. We also provide a novel way of defining infrared counterterms which closely resembles the definition of its ultraviolet counterpart. We further express both infrared and ultraviolet counterterms in terms of scaleless vacuum graphs with a logarithmic degree of divergence. By exploiting symmetries, integrand and integral relations, which the counterterms of scaleless vacuum graphs satisfy, we can vastly reduce their number and complexity. A FORM implementation of this method was used to compute the five loop beta function in QCD for a general gauge group. To illustrate the procedure, we compute the poles in the dimensional regulator of all top-level propagator graphs at five loops in four dimensional phi^3 theory.

[ { "created": "Fri, 10 Mar 2017 17:39:31 GMT", "version": "v1" }, { "created": "Tue, 16 Jan 2018 13:09:39 GMT", "version": "v2" } ]

2018-01-17

[ [ "Herzog", "Franz", "" ], [ "Ruijl", "Ben", "" ] ]

The R*-operation by Chetyrkin, Tkachov, and Smirnov is a generalisation of the BPHZ R-operation, which subtracts both ultraviolet and infrared divergences of euclidean Feynman graphs with non-exceptional external momenta. It can be used to compute the divergent parts of such Feynman graphs from products of simpler Feynman graphs of lower loops. In this paper we extend the R*-operation to Feynman graphs with arbitrary numerators, including tensors. We also provide a novel way of defining infrared counterterms which closely resembles the definition of its ultraviolet counterpart. We further express both infrared and ultraviolet counterterms in terms of scaleless vacuum graphs with a logarithmic degree of divergence. By exploiting symmetries, integrand and integral relations, which the counterterms of scaleless vacuum graphs satisfy, we can vastly reduce their number and complexity. A FORM implementation of this method was used to compute the five loop beta function in QCD for a general gauge group. To illustrate the procedure, we compute the poles in the dimensional regulator of all top-level propagator graphs at five loops in four dimensional phi^3 theory.

8.981428

9.662851

9.942101

8.816517

9.721992

9.344257

8.895243

8.856672

8.712669

9.451405

9.470303

8.584454

8.638074

8.37051

8.706079

8.406891

8.509508

8.180099

8.376174

8.589779

8.703781

hep-th/9206093

Heather Grove

Roman Jackiw

Gauge Theories for Gravity on a Line

17 double-spaced pages

Theor.Math.Phys. 92 (1992) 979-987; Teor.Mat.Fiz. 92 (1992) 404-414

10.1007/BF01017075

null

hep-th

null

Professor M. C. Polivanov and I met only a few times, during my infrequent visits to the-then Soviet Union in the 1970's and 1980's. His hospitality at the Moscow Steclov Institute made the trips a pleasure, while the scientific environment that he provided made them professionally valuable. But it is the human contact that I remember most vividly and shall now miss after his death. At a time when issues of conscience were both pressing for attention and difficult/dangerous to confront, Professor Polivanov made a deep impression with his quiet but adamant commitment to justice. I can only guess at the satisfaction he must have felt when his goal of gaining freedom for Yuri Orlov was attained, and even more so these days when human rights became defensible in his country; it is regrettable that he cannot now enjoy the future that he strived to attain. One of our joint interests was the Liouville theory,$^{1,\,2}$ which in turn can be viewed as a model for gravity in two-dimensional space-time. Some recent developments in this field are here summarized and dedicated to Polivanov's memory, with the hope that he would have enjoyed knowing about them.

[ { "created": "Wed, 24 Jun 1992 17:15:35 GMT", "version": "v1" } ]

2009-10-22

[ [ "Jackiw", "Roman", "" ] ]

Professor M. C. Polivanov and I met only a few times, during my infrequent visits to the-then Soviet Union in the 1970's and 1980's. His hospitality at the Moscow Steclov Institute made the trips a pleasure, while the scientific environment that he provided made them professionally valuable. But it is the human contact that I remember most vividly and shall now miss after his death. At a time when issues of conscience were both pressing for attention and difficult/dangerous to confront, Professor Polivanov made a deep impression with his quiet but adamant commitment to justice. I can only guess at the satisfaction he must have felt when his goal of gaining freedom for Yuri Orlov was attained, and even more so these days when human rights became defensible in his country; it is regrettable that he cannot now enjoy the future that he strived to attain. One of our joint interests was the Liouville theory,$^{1,\,2}$ which in turn can be viewed as a model for gravity in two-dimensional space-time. Some recent developments in this field are here summarized and dedicated to Polivanov's memory, with the hope that he would have enjoyed knowing about them.

15.264675

15.903336

15.573369

15.195296

16.308964

15.029448

16.816259

16.110411

15.612196

16.662571

15.112912

14.598803

14.528309

14.430462

15.008626

14.718631

14.508474

14.520782

14.699347

15.300442

14.465394

hep-th/9512100

Dirk Schlingemann

On the Existence of Kink-(Soliton-)States

23pp, latex2e, replaced version

Rev.Math.Phys. 8 (1996) 1187-1204

10.1142/S0129055X96000433

DESY 95-239

hep-th

null

There are several two dimensional quantum field theory models which are equipped with different vacuum states. For example the Sine-Gordon- and the $\phi^4_2$-model. It is known that in these models there are also states, called soliton- or kink-states, which interpolate different vacua. We consider the following question: Which are the properties a pair of vacuum sates must have, such that an interpolating kink-state can be constructed? Since we are interested in structural aspects and not in specific details of a given model, we are going to discuss this question in the framework of algebraic quantum field theory which includes, for example, the $P(\phi)_2$-models. We have shown that for a large class of vacuum states, including the vacua of the $P(\phi)_2$-models, there is a natural way to construct an interpolating kink-state.

[ { "created": "Thu, 14 Dec 1995 11:08:59 GMT", "version": "v1" }, { "created": "Fri, 15 Dec 1995 14:06:34 GMT", "version": "v2" }, { "created": "Mon, 18 Dec 1995 13:54:39 GMT", "version": "v3" }, { "created": "Thu, 21 Dec 1995 13:50:23 GMT", "version": "v4" }, { "created": "Thu, 18 Jan 1996 14:21:43 GMT", "version": "v5" } ]

2009-10-28

[ [ "Schlingemann", "Dirk", "" ] ]

There are several two dimensional quantum field theory models which are equipped with different vacuum states. For example the Sine-Gordon- and the $\phi^4_2$-model. It is known that in these models there are also states, called soliton- or kink-states, which interpolate different vacua. We consider the following question: Which are the properties a pair of vacuum sates must have, such that an interpolating kink-state can be constructed? Since we are interested in structural aspects and not in specific details of a given model, we are going to discuss this question in the framework of algebraic quantum field theory which includes, for example, the $P(\phi)_2$-models. We have shown that for a large class of vacuum states, including the vacua of the $P(\phi)_2$-models, there is a natural way to construct an interpolating kink-state.

5.534468

5.445365

5.838111

5.683703

5.550703

5.503973

5.469955

5.397272

5.408857

6.031569

5.30631

5.304985

5.340671

5.267471

5.405638

5.204846

5.293146

5.328588

5.33677

5.406332

5.255782

0910.5852

Kluson Josef

J. Kluson

New Models of f(R) Theories of Gravity

16 pages, typos corrected, v2:minor changes, references added

null

10.1103/PhysRevD.81.064028

null

hep-th

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

We introduce new models of f(R) theories of gravity that are generalization of Horava-Lifshitz gravity.

[ { "created": "Fri, 30 Oct 2009 11:39:16 GMT", "version": "v1" }, { "created": "Mon, 2 Nov 2009 10:04:22 GMT", "version": "v2" }, { "created": "Wed, 4 Nov 2009 11:19:21 GMT", "version": "v3" } ]

2013-05-29

[ [ "Kluson", "J.", "" ] ]

We introduce new models of f(R) theories of gravity that are generalization of Horava-Lifshitz gravity.

11.600467

7.882289

7.439147

6.454879

7.813803

7.277448

6.524026

7.302516

8.326849

7.22219

7.930489

8.208185

8.114077

7.23441

7.325331

8.109297

7.919258

7.938101

8.160526

8.327445

7.97082

1911.11886

Taushif Ahmed

Taushif Ahmed, Pulak Banerjee, Amlan Chakraborty, Prasanna K. Dhani and V. Ravindran

Form factors with two operator insertions and the principle of maximal transcendentality

Published version, 7 pages, 2 figures, title changed, a new section on Regge and Collinear limit added

Phys. Rev. D 102, 061701 (2020)

10.1103/PhysRevD.102.061701

IMSC/2019/11/11, MPP-2019-232, PSI-PR-19-23

hep-th hep-ph

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

We present the first calculations of two-point two-loop form factors (FFs) with a two identical operators insertion in maximally supersymmetric Yang-Mills theory. In this article, we consider the supersymmetry protected half-BPS primary and unprotected Konishi operators. Unlike the FFs of a single operator insertion of the half-BPS primary, the FFs involving two half-BPS operators are found to contain lower transcendentality weight terms in addition to the highest ones. Moreover, in contrast to Sudakov FFs, the highest weight terms of the FFs of a double half-BPS no longer match with that of a double Konishi. We also find that the principle of maximal transcendentality, which dictates the presence of identical highest weight terms in the scalar FFs of half-BPS and quark/gluon FFs in QCD, does not hold true anymore for insertions of two identical operators. We discover the absence of any additional ultraviolet counterterm that could arise from the contact interaction between two composite operators.

[ { "created": "Wed, 27 Nov 2019 00:05:30 GMT", "version": "v1" }, { "created": "Sun, 29 Nov 2020 15:03:12 GMT", "version": "v2" } ]

2020-12-01

[ [ "Ahmed", "Taushif", "" ], [ "Banerjee", "Pulak", "" ], [ "Chakraborty", "Amlan", "" ], [ "Dhani", "Prasanna K.", "" ], [ "Ravindran", "V.", "" ] ]

We present the first calculations of two-point two-loop form factors (FFs) with a two identical operators insertion in maximally supersymmetric Yang-Mills theory. In this article, we consider the supersymmetry protected half-BPS primary and unprotected Konishi operators. Unlike the FFs of a single operator insertion of the half-BPS primary, the FFs involving two half-BPS operators are found to contain lower transcendentality weight terms in addition to the highest ones. Moreover, in contrast to Sudakov FFs, the highest weight terms of the FFs of a double half-BPS no longer match with that of a double Konishi. We also find that the principle of maximal transcendentality, which dictates the presence of identical highest weight terms in the scalar FFs of half-BPS and quark/gluon FFs in QCD, does not hold true anymore for insertions of two identical operators. We discover the absence of any additional ultraviolet counterterm that could arise from the contact interaction between two composite operators.

9.737849

10.36242

11.297046

9.260569

10.37578

10.680355

9.989242

9.391

9.492757

12.345906

9.29311

9.015543

9.723706

9.382378

9.333076

9.516153

9.288988

8.916737

9.674062

10.288012

9.124445

2009.11739

Katsuki Aoki

Non-linearly ghost-free higher curvature gravity

14 pages, no figure, published version

Phys. Rev. D 102, 124049 (2020)

10.1103/PhysRevD.102.124049

YITP-20-119

hep-th gr-qc

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

We find unitary and local theories of higher curvature gravity in the vielbein formalism, known as the Poincar\'{e} gauge theory by utilizing the equivalence to the ghost-free massive bigravity. We especially focus on three and four dimensions but extensions into a higher dimensional spacetime are straightforward. In three dimensions, a quadratic gravity $\mathcal{L}=R+T^2+R^2$, where $R$ is the curvature and $T$ is the torsion with indices omitted, is shown to be equivalent to zwei-dreibein gravity and free from the ghost at fully non-linear orders. In a special limit, new massive gravity is recovered. When the model is applied to the AdS/CFT correspondence, unitarity both in the bulk theory and in the boundary theory implies that the torsion must not vanish. On the other hand, in four dimensions, the absence of ghost at non-linear orders requires an infinite number of higher curvature terms, and these terms can be given by a schematic form $R(1+R/\alpha m^2)^{-1}R$ where $m$ is the mass of the massive spin-2 mode originating from the higher curvature terms and $\alpha$ is an additional parameter that determines the amplitude of the torsion. We also provide another four-dimensional ghost-free higher curvature theory that contains a massive spin-0 mode as well as the massive spin-2 mode.

[ { "created": "Thu, 24 Sep 2020 14:59:54 GMT", "version": "v1" }, { "created": "Tue, 12 Jan 2021 07:28:52 GMT", "version": "v2" } ]

2021-01-13

[ [ "Aoki", "Katsuki", "" ] ]

We find unitary and local theories of higher curvature gravity in the vielbein formalism, known as the Poincar\'{e} gauge theory by utilizing the equivalence to the ghost-free massive bigravity. We especially focus on three and four dimensions but extensions into a higher dimensional spacetime are straightforward. In three dimensions, a quadratic gravity $\mathcal{L}=R+T^2+R^2$, where $R$ is the curvature and $T$ is the torsion with indices omitted, is shown to be equivalent to zwei-dreibein gravity and free from the ghost at fully non-linear orders. In a special limit, new massive gravity is recovered. When the model is applied to the AdS/CFT correspondence, unitarity both in the bulk theory and in the boundary theory implies that the torsion must not vanish. On the other hand, in four dimensions, the absence of ghost at non-linear orders requires an infinite number of higher curvature terms, and these terms can be given by a schematic form $R(1+R/\alpha m^2)^{-1}R$ where $m$ is the mass of the massive spin-2 mode originating from the higher curvature terms and $\alpha$ is an additional parameter that determines the amplitude of the torsion. We also provide another four-dimensional ghost-free higher curvature theory that contains a massive spin-0 mode as well as the massive spin-2 mode.

8.059574

7.765738

7.876488

7.970975

7.886301

7.899725

8.336776

7.851935

7.755502

8.748768

7.763498

7.604966

7.938941

7.714379

7.635141

7.689

7.847412

7.659682

7.710614

7.847328

7.71532

0704.2230

Petr Horava

Petr Horava, Cynthia A. Keeler

Strings on AdS_2 and the High-Energy Limit of Noncritical M-Theory

31 pages; references added

JHEP 0706:031,2007

10.1088/1126-6708/2007/06/031

null

hep-th

null

Noncritical M-theory in 2+1 dimensions has been defined as a double-scaling limit of a nonrelativistic Fermi liquid on a flat two-dimensional plane. Here we study this noncritical M-theory in the limit of high energies, analogous to the \alpha'\to\infty limit of string theory. In the related case of two-dimensional Type 0A strings, it has been argued that the conformal \alpha'\to\infty limit leads to AdS_2 with a propagating fermion whose mass is set by the value of the RR flux. Here we provide evidence that in the high-energy limit, the natural ground state of noncritical M-theory similarly describes the AdS_2\times S^1 spacetime, with a massless propagating fermion. We argue that the spacetime effective theory in this background is captured by a topological higher-spin extension of conformal Chern-Simons gravity in 2+1 dimensions, consistently coupled to a massless Dirac field. Intriguingly, the two-dimensional plane populated by the original nonrelativistic fermions is essentially the twistor space associated with the symmetry group of the AdS_2\times S^1 spacetime; thus, at least in the high-energy limit, noncritical M-theory can be nonperturbatively described as a "Fermi liquid on twistor space."

[ { "created": "Wed, 18 Apr 2007 18:40:40 GMT", "version": "v1" }, { "created": "Mon, 28 May 2007 21:14:36 GMT", "version": "v2" } ]

2009-11-13

[ [ "Horava", "Petr", "" ], [ "Keeler", "Cynthia A.", "" ] ]

Noncritical M-theory in 2+1 dimensions has been defined as a double-scaling limit of a nonrelativistic Fermi liquid on a flat two-dimensional plane. Here we study this noncritical M-theory in the limit of high energies, analogous to the \alpha'\to\infty limit of string theory. In the related case of two-dimensional Type 0A strings, it has been argued that the conformal \alpha'\to\infty limit leads to AdS_2 with a propagating fermion whose mass is set by the value of the RR flux. Here we provide evidence that in the high-energy limit, the natural ground state of noncritical M-theory similarly describes the AdS_2\times S^1 spacetime, with a massless propagating fermion. We argue that the spacetime effective theory in this background is captured by a topological higher-spin extension of conformal Chern-Simons gravity in 2+1 dimensions, consistently coupled to a massless Dirac field. Intriguingly, the two-dimensional plane populated by the original nonrelativistic fermions is essentially the twistor space associated with the symmetry group of the AdS_2\times S^1 spacetime; thus, at least in the high-energy limit, noncritical M-theory can be nonperturbatively described as a "Fermi liquid on twistor space."

5.761443

5.745275

6.539172

5.754962

6.123028

6.277055

6.044807

5.989394

5.648836

7.219529

5.603057

5.645345

5.82532

5.526237

5.626594

5.704191

5.591329

5.685863

5.556446

5.992538

5.650993

1909.13675

Leonid Bork Dr

L.V. Bork, A.I. Onishchenko

Pentagon OPE resummation in N=4 SYM: hexagons with one effective particle contribution

25 pages; v2: minor changes, typos corrected

Phys. Rev. D 102, 026002 (2020)

10.1103/PhysRevD.102.026002

null

hep-th

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

We present the technique for resummation of flux tube excitations series arising in pentagon operator expansion program for polygonal Wilson loops in N=4 SYM. Here we restrict ourselves with contributions of one-particle effective states and consider as a particular example NMHV 6 particle amplitude at one-loop. The presented technique is also applicable at higher loops for one effective particle contributions and has the potential for generalization for contributions with more effective particles.

[ { "created": "Mon, 30 Sep 2019 13:18:54 GMT", "version": "v1" }, { "created": "Thu, 16 Jan 2020 12:48:50 GMT", "version": "v2" } ]

2020-07-08

[ [ "Bork", "L. V.", "" ], [ "Onishchenko", "A. I.", "" ] ]

We present the technique for resummation of flux tube excitations series arising in pentagon operator expansion program for polygonal Wilson loops in N=4 SYM. Here we restrict ourselves with contributions of one-particle effective states and consider as a particular example NMHV 6 particle amplitude at one-loop. The presented technique is also applicable at higher loops for one effective particle contributions and has the potential for generalization for contributions with more effective particles.

19.260851

17.240871

20.74637

15.222495

17.863283

16.84079

18.375805

17.615513

16.144371

21.967442

16.597376

16.84436

18.871557

16.139769

16.88555

16.536528

16.275303

16.658508

15.979681

18.063387

16.669418

1801.06895

John Cardy

The $T\overline T$ deformation of quantum field theory as random geometry

32 pages. Final published version! Solution for t>0 clarified

JHEP10(2018)186

10.1007/JHEP10(2018)186

null

hep-th

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

We revisit the results of Zamolodchikov and others on the deformation of two-dimensional quantum field theory by the determinant $\det T$ of the stress tensor, commonly referred to as $T\overline T$. Infinitesimally this is equivalent to a random coordinate transformation, with a local action which is, however, a total derivative and therefore gives a contribution only from boundaries or nontrivial topology. We discuss in detail the examples of a torus, a finite cylinder, a disk and a more general simply connected domain. In all cases the partition function evolves according to a linear diffusion-type equation, and the deformation may be viewed as a kind of random walk in moduli space. We also discuss possible generalizations to higher dimensions.

[ { "created": "Sun, 21 Jan 2018 21:14:37 GMT", "version": "v1" }, { "created": "Thu, 25 Jan 2018 13:59:39 GMT", "version": "v2" }, { "created": "Sun, 4 Feb 2018 20:42:41 GMT", "version": "v3" }, { "created": "Sat, 19 May 2018 16:14:39 GMT", "version": "v4" }, { "created": "Sun, 9 Sep 2018 03:36:29 GMT", "version": "v5" }, { "created": "Thu, 1 Nov 2018 15:14:47 GMT", "version": "v6" } ]

2018-11-02

[ [ "Cardy", "John", "" ] ]

We revisit the results of Zamolodchikov and others on the deformation of two-dimensional quantum field theory by the determinant $\det T$ of the stress tensor, commonly referred to as $T\overline T$. Infinitesimally this is equivalent to a random coordinate transformation, with a local action which is, however, a total derivative and therefore gives a contribution only from boundaries or nontrivial topology. We discuss in detail the examples of a torus, a finite cylinder, a disk and a more general simply connected domain. In all cases the partition function evolves according to a linear diffusion-type equation, and the deformation may be viewed as a kind of random walk in moduli space. We also discuss possible generalizations to higher dimensions.

9.281685

8.933173

10.672111

8.877393

9.086909

9.721502

8.990826

9.035856

8.622675

9.67125

8.362821

8.594085

9.583306

9.006701

8.86636

8.650875

8.715418

8.541758

9.193122

9.299308

8.659096

1901.11002

Hai Lin

Hai Lin, Haoxin Wang

Holographic derivation of a class of short range correlation functions

24 pages, Journal version

Nuclear Physics B, 947 (2019), 114728

10.1016/j.nuclphysb.2019.114728

null

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

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

We construct a class of backgrounds with a warp factor and anti-de Sitter asymptotics, which are dual to boundary systems that have a ground state with a short-range two-point correlation function. The solutions of probe scalar fields on these backgrounds are obtained by means of confluent hypergeometric functions. The explicit analytical expressions of a class of short-range correlation functions on the boundary and the correlation lengths $\xi$ are derived from gravity computation. The two-point function calculated from gravity side is explicitly shown to exponentially decay with respect to separation in the infrared. Such feature inevitably appears in confining gauge theories and certain strongly correlated condensed matter systems.

[ { "created": "Wed, 30 Jan 2019 18:53:19 GMT", "version": "v1" }, { "created": "Mon, 12 Aug 2019 23:19:37 GMT", "version": "v2" } ]

2024-02-29

[ [ "Lin", "Hai", "" ], [ "Wang", "Haoxin", "" ] ]

We construct a class of backgrounds with a warp factor and anti-de Sitter asymptotics, which are dual to boundary systems that have a ground state with a short-range two-point correlation function. The solutions of probe scalar fields on these backgrounds are obtained by means of confluent hypergeometric functions. The explicit analytical expressions of a class of short-range correlation functions on the boundary and the correlation lengths $\xi$ are derived from gravity computation. The two-point function calculated from gravity side is explicitly shown to exponentially decay with respect to separation in the infrared. Such feature inevitably appears in confining gauge theories and certain strongly correlated condensed matter systems.

15.049194

15.753614

15.458193

13.720163

15.310466

16.137501

16.375208

13.930344

14.658813

18.240456

14.32781

13.485413

14.084442

13.832929

13.935782

14.103737

13.519733

13.365582

13.73941

14.495052

13.447244

1811.03917

Jean-Philippe Guillet

J. Ph. Guillet (1), E. Pilon (1), Y. Shimizu (2) and M. S. Zidi (3) ((1) Univ. Savoie Mont Blanc, CNRS, LAPTH, Annecy, France, (2) KEK, Tsukuba, Japan, (3) LPTh, Universit\'e de Jijel, Jijel, Alg\'erie)

A novel approach to the computation of one-loop three- and four-point functions. II - The complex mass case

51 pages, 5 figures. Some changes in the introduction and the summary to be consistent with arXiv:1905.08115

Prog Theor Exp Phys (2020)

10.1093/ptep/ptz159

LAPTH-44/18

hep-th hep-ph

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

This article is the second of a series of three presenting an alternative method to compute the one-loop scalar integrals. It extends the results of the first article to general complex masses. Let us remind the main features enjoyed by this method. It directly proceeds in terms of the quantities driving algebraic reduction methods. It applies to the four-point functions in the same way as to the three-point functions. Lastly, it extends to kinematics more general than the one of physical e.g. collider processes relevant at one loop.

[ { "created": "Fri, 9 Nov 2018 14:20:07 GMT", "version": "v1" }, { "created": "Mon, 19 Nov 2018 15:31:58 GMT", "version": "v2" }, { "created": "Tue, 4 Jun 2019 11:28:33 GMT", "version": "v3" } ]

2020-02-26

[ [ "Guillet", "J. Ph.", "" ], [ "Pilon", "E.", "" ], [ "Shimizu", "Y.", "" ], [ "Zidi", "M. S.", "" ] ]

This article is the second of a series of three presenting an alternative method to compute the one-loop scalar integrals. It extends the results of the first article to general complex masses. Let us remind the main features enjoyed by this method. It directly proceeds in terms of the quantities driving algebraic reduction methods. It applies to the four-point functions in the same way as to the three-point functions. Lastly, it extends to kinematics more general than the one of physical e.g. collider processes relevant at one loop.

14.725883

15.493511

14.191077

13.095079

15.141385

17.565006

15.598039

16.358616

10.816095

10.8029

14.937949

14.322642

13.815783

13.68318

14.619712

14.588029

13.894044

15.104479

12.898292

13.1331

14.087985

1208.1335

Sugumi Kanno

Jaume Garriga, Sugumi Kanno, Misao Sasaki, Jiro Soda, Alexander Vilenkin

Observer dependence of bubble nucleation and Schwinger pair production

32 papes, 1 figure, minor corrections, references added, typos corrected

JCAP 1212 (2012) 006

10.1088/1475-7516/2012/12/006

YITP-12-68; KUNS-2410

hep-th gr-qc

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

Pair production in a constant electric field is closely analogous to bubble nucleation in a false vacuum. The classical trajectories of the pairs are Lorentz invariant, but it appears that this invariance should be broken by the nucleation process. Here, we use a model detector, consisting of other particles interacting with the pairs, to investigate how pair production is seen by different Lorentzian observers. We focus on the idealized situation where a constant external electric field is present for an infinitely long time, and we consider the in-vacuum state for a charged scalar field that describes the nucleating pairs. The in-vacuum is defined in terms of modes which are positive frequency in the remote past. Even though the construction uses a particular reference frame and a gauge where the vector potential is time dependent, we show explicitly that the resulting quantum state is Lorentz invariant. We then introduce a "detector" particle which interacts with the nucleated pairs, and show that all Lorentzian observers will see the particles and antiparticles nucleating preferentially at rest in the detector's rest frame. Similar conclusions are expected to apply to bubble nucleation in a sufficiently long lived vacuum. We also comment on certain unphysical aspects of the Lorentz invariant in-vacuum, associated with the fact that it contains an infinite density of particles. This can be easily remedied by considering Lorentz breaking initial conditions.

[ { "created": "Tue, 7 Aug 2012 05:07:58 GMT", "version": "v1" }, { "created": "Tue, 21 Aug 2012 07:03:42 GMT", "version": "v2" }, { "created": "Wed, 24 Apr 2013 17:57:56 GMT", "version": "v3" } ]

2013-04-25

[ [ "Garriga", "Jaume", "" ], [ "Kanno", "Sugumi", "" ], [ "Sasaki", "Misao", "" ], [ "Soda", "Jiro", "" ], [ "Vilenkin", "Alexander", "" ] ]

Pair production in a constant electric field is closely analogous to bubble nucleation in a false vacuum. The classical trajectories of the pairs are Lorentz invariant, but it appears that this invariance should be broken by the nucleation process. Here, we use a model detector, consisting of other particles interacting with the pairs, to investigate how pair production is seen by different Lorentzian observers. We focus on the idealized situation where a constant external electric field is present for an infinitely long time, and we consider the in-vacuum state for a charged scalar field that describes the nucleating pairs. The in-vacuum is defined in terms of modes which are positive frequency in the remote past. Even though the construction uses a particular reference frame and a gauge where the vector potential is time dependent, we show explicitly that the resulting quantum state is Lorentz invariant. We then introduce a "detector" particle which interacts with the nucleated pairs, and show that all Lorentzian observers will see the particles and antiparticles nucleating preferentially at rest in the detector's rest frame. Similar conclusions are expected to apply to bubble nucleation in a sufficiently long lived vacuum. We also comment on certain unphysical aspects of the Lorentz invariant in-vacuum, associated with the fact that it contains an infinite density of particles. This can be easily remedied by considering Lorentz breaking initial conditions.

8.633396

8.401184

8.815622

7.982198

7.555026

7.828585

7.982548

7.272928

8.132323

9.481977

7.884531

7.973062

8.436961

8.074949

8.182741

7.812201

8.188191

7.740491

7.950854

8.296779

8.095986

hep-th/9712001

Barvinski

A.O.Barvinsky

Quantum Dirac constraints, Ward identities and path integral in relativistic gauge

12 pages, LaTeX

Phys.Lett. B428 (1998) 322-328

10.1016/S0370-2693(98)00415-8

FIAN/TD/97-22

hep-th

null

Quantum Dirac constraints in generic constrained system are solved by directly calculating in the one-loop approximation the path integral with relativistic gauge fixing procedure. The calculations are based on the reduction algorithms for functional determinants extended to gauge theories. Explicit mechanism of transition from relativistic gauge conditions to unitary gauges, participating in the construction of this solution, is revealed by the method of Ward identities.

[ { "created": "Mon, 1 Dec 1997 23:38:36 GMT", "version": "v1" } ]

2009-10-30

[ [ "Barvinsky", "A. O.", "" ] ]

Quantum Dirac constraints in generic constrained system are solved by directly calculating in the one-loop approximation the path integral with relativistic gauge fixing procedure. The calculations are based on the reduction algorithms for functional determinants extended to gauge theories. Explicit mechanism of transition from relativistic gauge conditions to unitary gauges, participating in the construction of this solution, is revealed by the method of Ward identities.

30.615425

20.972942

27.342182

23.154476

28.55328

26.873995

23.920168

20.302483

23.708147

30.300104

23.63209

26.36801

26.791304

24.523434

24.705721

24.156158

26.014378

24.634304

25.79122

28.4298

25.971363

hep-th/9902119

Radu Tatar

Kyungho Oh, Radu Tatar

Comments on Brane Configurations with Semi-infinite D4 Branes

10 pages, Latex

null

BROWN-HET-1169

hep-th

null

We consider four dimensional supersymmetric gauge field theories from brane configurations with the matter content given by semi-infinite D4 branes ending on both sides of NS branes. In M theory configuration, we discuss the splitting of the M5 brane into infinite cylindrical M5 branes (which decouple) and transversal M5 brane. The splitting condition appears naturally from the consistency of the different projections of the Seiberg-Witten curve.

[ { "created": "Tue, 16 Feb 1999 23:42:23 GMT", "version": "v1" } ]

2007-05-23

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

We consider four dimensional supersymmetric gauge field theories from brane configurations with the matter content given by semi-infinite D4 branes ending on both sides of NS branes. In M theory configuration, we discuss the splitting of the M5 brane into infinite cylindrical M5 branes (which decouple) and transversal M5 brane. The splitting condition appears naturally from the consistency of the different projections of the Seiberg-Witten curve.

14.390816

13.203699

17.70467

11.980718

13.470076

12.528488

14.305262

12.300939

13.048804

16.890703

12.209792

13.147291

14.646554

12.910832

12.906474

12.858137

12.970867

12.824257

13.395796

15.695209

13.057961

hep-th/9512159

Mekhfi Mustapha

M. Mekhfi

Unification of Bessel functions of different orders

8 pages,Latex

International Journal of Theoretical Physics IJTP VOL.39,No.4,(2000)

null

ICTP.IC/95/362

hep-th

null

We investigate the internal space of Bessel functions which is associated to the group Z of positive and negative integers defining their orders. As a result we propose and prove a new unifying formula (to be added to the huge literature on Bessel functions) generating Bessel functions of real orders out of integer order one's. The unifying formula is expected to be of great use in applied mathematics. Some applications of the formula are given for illustration.

[ { "created": "Wed, 20 Dec 1995 09:38:48 GMT", "version": "v1" }, { "created": "Wed, 28 Jun 2000 10:01:50 GMT", "version": "v2" } ]

2008-02-03

[ [ "Mekhfi", "M.", "" ] ]

We investigate the internal space of Bessel functions which is associated to the group Z of positive and negative integers defining their orders. As a result we propose and prove a new unifying formula (to be added to the huge literature on Bessel functions) generating Bessel functions of real orders out of integer order one's. The unifying formula is expected to be of great use in applied mathematics. Some applications of the formula are given for illustration.

17.323397

17.872566

18.520746

16.643858

18.502611

18.481852

18.216339

17.374659

17.266899

19.707312

16.019798

16.684702

17.398775

16.181213

17.334278

17.346863

16.805008

15.901598

16.881895

18.046366

16.259539

1911.11126

Tadashi Okazaki

Davide Gaiotto, Tadashi Okazaki

Sphere correlation functions and Verma modules

42 pages, 3 figures, v2: typos corrected

JHEP 2002 (2020) 133

10.1007/JHEP02(2020)133

null

hep-th math.QA math.RT

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

We propose a universal IR formula for the protected three-sphere correlation functions of Higgs and Coulomb branch operators of ${\cal N}=4$ supersymmetric quantum field theories with massive, topologically trivial vacua.

[ { "created": "Mon, 25 Nov 2019 18:49:50 GMT", "version": "v1" }, { "created": "Thu, 5 Dec 2019 09:48:22 GMT", "version": "v2" } ]

2020-02-26

[ [ "Gaiotto", "Davide", "" ], [ "Okazaki", "Tadashi", "" ] ]

We propose a universal IR formula for the protected three-sphere correlation functions of Higgs and Coulomb branch operators of ${\cal N}=4$ supersymmetric quantum field theories with massive, topologically trivial vacua.

17.855619

11.831352

17.052895

10.421196

11.716821

11.419186

12.829168

11.844886

10.067607

18.502817

9.934148

10.684975

14.922877

10.72325

11.615469

10.548307

10.884295

11.108211

11.223083

13.498968

11.770133

1809.01675

Biswajit Sahoo

Sayali Atul Bhatkar and Biswajit Sahoo

Subleading Soft Theorem for arbitrary number of external soft photons and gravitons

55 pages, 14 figures, covariantization in photon background improved, appendix-B added

null

hep-th

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

We obtain the subleading soft theorem for a generic theory of quantum gravity, for arbitrary number of soft photons and gravitons and for arbitrary number of finite energy particles with arbitrary mass and spin when all the soft particles are soft in the same rate. This result is valid at tree level for spacetime dimensions equal to four and five and to all loops in spacetime dimensions greater than five. We verify that in classical limit low energy photon and graviton radiation decouple from each other.

[ { "created": "Wed, 5 Sep 2018 18:05:10 GMT", "version": "v1" }, { "created": "Wed, 10 Oct 2018 13:03:00 GMT", "version": "v2" }, { "created": "Tue, 8 Jan 2019 16:11:18 GMT", "version": "v3" } ]

2019-01-09

[ [ "Bhatkar", "Sayali Atul", "" ], [ "Sahoo", "Biswajit", "" ] ]

We obtain the subleading soft theorem for a generic theory of quantum gravity, for arbitrary number of soft photons and gravitons and for arbitrary number of finite energy particles with arbitrary mass and spin when all the soft particles are soft in the same rate. This result is valid at tree level for spacetime dimensions equal to four and five and to all loops in spacetime dimensions greater than five. We verify that in classical limit low energy photon and graviton radiation decouple from each other.

11.732361

9.794774

13.072439

10.368082

10.52745

11.172373

11.124744

9.967171

9.243196

13.103971

8.947919

10.607222

11.15392

10.281203

10.385023

9.932836

10.457572

10.352229

10.02526

10.606145

10.026643

hep-th/9110039

Stephen Hwang

Cosets as gauge slices in SU(1,1) strings

5 pages

Phys. Lett. B276 (1992) 451

10.1016/0370-2693(92)91666-W

null

hep-th

null

We consider a string theory based on an SU(1,1) Wess-Zumino-Novikov-Witten model and an arbitrary unitary conformal fild theory. We show that the solutions of the Virasoro conditions, in the unitarity regime of the SU(1,1) theory, are states which lie in the Euclidean coset SU(1,1)/U(1). This shows the validity, at the quantum level, of a time-like type of gauge in these models.

[ { "created": "Tue, 15 Oct 1991 08:07:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Hwang", "Stephen", "" ] ]

We consider a string theory based on an SU(1,1) Wess-Zumino-Novikov-Witten model and an arbitrary unitary conformal fild theory. We show that the solutions of the Virasoro conditions, in the unitarity regime of the SU(1,1) theory, are states which lie in the Euclidean coset SU(1,1)/U(1). This shows the validity, at the quantum level, of a time-like type of gauge in these models.

9.969643

10.026768

11.37991

9.463827

10.013364

10.103698

9.617056

8.966899

9.397079

12.145633

9.115415

9.272676

10.357806

9.463696

9.474164

9.334404

9.099173

9.658992

9.232996

10.719

9.129515

hep-th/0412063

Silvia Vaula'

Riccardo D'Auria, Sergio Ferrara, Mario Trigiante and Silvia Vaula

Scalar potential for the gauged Heisenberg algebra and a non-polynomial antisymmetric tensor theory

11 pages LaTex

Phys.Lett. B610 (2005) 270-276

10.1016/j.physletb.2005.01.083

CERN-PH-TH/2004-245 DESY-04-234

hep-th

null

We study some issues related to the effective theory of Calabi-Yau compactifications with fluxes in Type II theories. At first the scalar potential for a generic electric abelian gauging of the Heisenberg algebra, underlying all possible gaugings of RR isometries, is presented and shown to exhibit, in some circumstances, a "dual'' no-scale structure under the interchange of hypermultiplets and vector multiplets. Subsequently a new setting of such theories, when all RR scalars are dualized into antisymmetric tensors, is discussed. This formulation falls in the class of non-polynomial tensor theories considered long ago by Freedman and Townsend and it may be relevant for the introduction of both electric and magnetic charges.

[ { "created": "Tue, 7 Dec 2004 13:50:02 GMT", "version": "v1" } ]

2009-11-10

[ [ "D'Auria", "Riccardo", "" ], [ "Ferrara", "Sergio", "" ], [ "Trigiante", "Mario", "" ], [ "Vaula", "Silvia", "" ] ]

We study some issues related to the effective theory of Calabi-Yau compactifications with fluxes in Type II theories. At first the scalar potential for a generic electric abelian gauging of the Heisenberg algebra, underlying all possible gaugings of RR isometries, is presented and shown to exhibit, in some circumstances, a "dual'' no-scale structure under the interchange of hypermultiplets and vector multiplets. Subsequently a new setting of such theories, when all RR scalars are dualized into antisymmetric tensors, is discussed. This formulation falls in the class of non-polynomial tensor theories considered long ago by Freedman and Townsend and it may be relevant for the introduction of both electric and magnetic charges.

13.336951

12.679444

14.700867

12.200196

12.464614

12.087936

12.977313

14.304188

12.542469

16.925505

11.984718

12.772717

12.772668

12.289441

12.476295

12.732858

13.359503

12.460439

13.047541

13.200983

12.599463

hep-th/9902048

Adel Khoudeir Maurched

P. J. Arias and A. Khoudeir

Massive Gauge Axion Fields

Final version. New references added

Mod.Phys.Lett. A14 (1999) 2125-2134

10.1142/S0217732399002182

null

hep-th

null

A gauge invariant formulation for the massive axion is considered. The axion acquires mass through a topological term which couples a (pseudo)scalar and a third rank antisymmetric tensor. Duality, local and canonical equivalences with the non-gauge invariant proposal are established. The supersymmetric version of the gauge invariant model is constructed.

[ { "created": "Sat, 6 Feb 1999 15:54:46 GMT", "version": "v1" }, { "created": "Tue, 12 Oct 1999 19:42:58 GMT", "version": "v2" } ]

2009-10-31

[ [ "Arias", "P. J.", "" ], [ "Khoudeir", "A.", "" ] ]

A gauge invariant formulation for the massive axion is considered. The axion acquires mass through a topological term which couples a (pseudo)scalar and a third rank antisymmetric tensor. Duality, local and canonical equivalences with the non-gauge invariant proposal are established. The supersymmetric version of the gauge invariant model is constructed.

14.217591

10.495886

13.341115

10.912882

11.806524

10.479166

10.223061

11.227153

11.627533

13.645701

10.829931

11.254551

11.754401

11.575195

11.408616

11.546086

11.409237

11.578643

11.208257

12.73036

10.973037

hep-th/0402074

Dmitry Malyshev V.

Dmitry Malyshev

Non RG logarithms via RG equations

12 pages, 2 figures, LaTeX

null

hep-th

null

We compute complete leading logarithms in $\Phi^4$ theory with the help of Connes and Kreimer RG equations. These equations are defined in the Lie algebra dual to the Hopf algebra of graphs. The results are compared with calculations in parquet approximation. An interpretation of the new RG equations is discussed.

[ { "created": "Tue, 10 Feb 2004 02:53:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Malyshev", "Dmitry", "" ] ]

We compute complete leading logarithms in $\Phi^4$ theory with the help of Connes and Kreimer RG equations. These equations are defined in the Lie algebra dual to the Hopf algebra of graphs. The results are compared with calculations in parquet approximation. An interpretation of the new RG equations is discussed.

13.904631

12.504766

12.247397

11.165819

12.677368

14.201502

13.665633

11.351546

12.573197

16.504152

10.674231

11.362819

13.252881

12.735957

11.8106

12.212698

12.589049

12.024512

11.816183

11.897876

11.956908

hep-th/9602074

Yaroslav Pugai

S. Lukyanov, Ya. Pugai

Multi-point Local Height Probabilities in the Integrable RSOS Model

29 pages, harvmac.tex, 12 eps figures, epsf.tex, revised version, corrections in subsection 4.2, the main results are unchanged

Nucl.Phys. B473 (1996) 631-658

10.1016/0550-3213(96)00221-0

CLNS 96/1400, RIMS-1063

hep-th math.QA nlin.SI q-alg solv-int

null

By using the bosonization technique, we derive an integral representation for multi-point Local Hight Probabilities for the Andrews-Baxter-Forrester model in the regime III. We argue that the dynamical symmetry of the model is provided by the deformed Virasoro algebra.

[ { "created": "Wed, 14 Feb 1996 13:15:59 GMT", "version": "v1" }, { "created": "Tue, 27 Feb 1996 22:18:16 GMT", "version": "v2" } ]

2009-10-30

[ [ "Lukyanov", "S.", "" ], [ "Pugai", "Ya.", "" ] ]

By using the bosonization technique, we derive an integral representation for multi-point Local Hight Probabilities for the Andrews-Baxter-Forrester model in the regime III. We argue that the dynamical symmetry of the model is provided by the deformed Virasoro algebra.

15.027073

10.54449

17.08589

13.073981

13.379951

12.780319

11.273675

12.458024

12.102953

19.325418

12.431694

12.320518

16.881279

13.645317

13.092601

12.139172

12.774086

13.407337

13.487441

15.405742

12.665998

hep-th/0407222

Gerald V. Dunne

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

Instanton Determinant with Arbitrary Quark Mass: WKB Phase-shift Method and Derivative Expansion

15 pages, 3 figures

Phys.Lett. B600 (2004) 302-313

10.1016/j.physletb.2004.09.012

null

hep-th hep-lat hep-ph

null

The fermion determinant in an instanton background for a quark field of arbitrary mass is studied using the Schwinger proper-time representation with WKB scattering phase shifts for the relevant partial-wave differential operators. Previously, results have been obtained only for the extreme small and large quark mass limits, not for intermediate interpolating mass values. We show that consistent renormalization and large-mass asymptotics requires up to third-order in the WKB approximation. This procedure leads to an almost analytic answer, requiring only modest numerical approximation, and yields excellent agreement with the well-known extreme small and large mass limits. We estimate that it differs from the exact answer by no more than 6% for generic mass values. In the philosophy of the derivative expansion the same amplitude is then studied using a Heisenberg-Euler-type effective action, and the leading order approximation gives a surprisingly accurate answer for all masses.

[ { "created": "Tue, 27 Jul 2004 00:01:38 GMT", "version": "v1" } ]

2007-05-23

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

The fermion determinant in an instanton background for a quark field of arbitrary mass is studied using the Schwinger proper-time representation with WKB scattering phase shifts for the relevant partial-wave differential operators. Previously, results have been obtained only for the extreme small and large quark mass limits, not for intermediate interpolating mass values. We show that consistent renormalization and large-mass asymptotics requires up to third-order in the WKB approximation. This procedure leads to an almost analytic answer, requiring only modest numerical approximation, and yields excellent agreement with the well-known extreme small and large mass limits. We estimate that it differs from the exact answer by no more than 6% for generic mass values. In the philosophy of the derivative expansion the same amplitude is then studied using a Heisenberg-Euler-type effective action, and the leading order approximation gives a surprisingly accurate answer for all masses.

14.764705

13.833384

14.395205

13.895762

15.192304

15.633139

15.33519

15.055127

13.843523

16.296463

14.083691

14.359508

14.325774

14.16587

14.394883

13.966912

13.941322

14.09242

14.287251

14.776481

13.970932

hep-th/9707066

Ruslan Metsaev

R.R.Metsaev, (Lebedev Physical Institute)

Free totally (anti)symmetric massless fermionic fields in d-dimensional anti-de Sitter space

9 pages, LaTeX

Class.Quant.Grav.14:L115-L121,1997

10.1088/0264-9381/14/5/008

null

hep-th

null

Free massless fermionic fields of arbitrary spins $s>0$ corresponding to totally (anti)symmetric tensor-spinor representations of the $SO(d-1)$ compact subgroup and in $d$-dimensional anti-de Sitter space are investigated. We propose the free equations of motion, subsidiary conditions and corresponding gauge transformations for such fields. The equations obtained are used to derive the lowest energy values for the above-mentioned representations. A new representation for equations of motion and gauge transformations in terms of generators of anti-de Sitter group $SO(d-1,2)$ is found. It is demonstrated that in contrast to the symmetric case the gauge parameter of the antisymmetric massless field is also a massless field.

[ { "created": "Mon, 7 Jul 1997 09:51:00 GMT", "version": "v1" } ]

2010-04-06

[ [ "Metsaev", "R. R.", "" ] ]

Free massless fermionic fields of arbitrary spins $s>0$ corresponding to totally (anti)symmetric tensor-spinor representations of the $SO(d-1)$ compact subgroup and in $d$-dimensional anti-de Sitter space are investigated. We propose the free equations of motion, subsidiary conditions and corresponding gauge transformations for such fields. The equations obtained are used to derive the lowest energy values for the above-mentioned representations. A new representation for equations of motion and gauge transformations in terms of generators of anti-de Sitter group $SO(d-1,2)$ is found. It is demonstrated that in contrast to the symmetric case the gauge parameter of the antisymmetric massless field is also a massless field.

8.569236

7.404378

8.74381

7.660639

8.558517

7.781449

7.970987

7.757069

8.203895

9.540804

7.329792

7.306875

8.287083

7.389655

7.82297

7.299206

7.584552

7.220251

7.364981

8.193142

7.285101

hep-th/0609178

Chungku Kim

Effective Action for the Scalar Field Theory with Higher Vertices

null

Phys.Rev.D74:067702,2006

10.1103/PhysRevD.74.067702

null

hep-th

null

We derive a new kind of recursion relation to obtain the one-particle-irreducible (1PI) Feynman diagrams for the effective action. By using this method, we have obtained the graphical representation of the four-loop effective action in case of the general bosonic field theory which have vertices higher than the four-point vertex.

[ { "created": "Tue, 26 Sep 2006 01:31:38 GMT", "version": "v1" } ]

2008-11-26

[ [ "Kim", "Chungku", "" ] ]

We derive a new kind of recursion relation to obtain the one-particle-irreducible (1PI) Feynman diagrams for the effective action. By using this method, we have obtained the graphical representation of the four-loop effective action in case of the general bosonic field theory which have vertices higher than the four-point vertex.

11.261623

8.798286

9.805042

9.579122

10.052489

9.424389

10.612102

9.087051

9.452886

10.085017

9.495584

9.304358

9.912705

9.428711

9.480604

9.063217

9.553421

9.45725

9.578155

10.051651

9.631667

hep-th/0512258

Merab Gogberashvili Dr

Merab Gogberashvili

Octonionic Electrodynamics

The version accepted by J. Phys. A

J.Phys.A39:7099-7104,2006

10.1088/0305-4470/39/22/020

null

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

null

Dirac's operator and Maxwell's equations in vacuum are derived in the algebra of split octonions. The approximations are given which lead to classical Maxwell-Heaviside equations from full octonionic equations. The non-existence of magnetic monopoles in classical electrodynamics is connected with the using of associativity limit.

[ { "created": "Tue, 20 Dec 2005 19:30:11 GMT", "version": "v1" }, { "created": "Thu, 13 Apr 2006 17:42:46 GMT", "version": "v2" } ]

2009-11-11

[ [ "Gogberashvili", "Merab", "" ] ]

Dirac's operator and Maxwell's equations in vacuum are derived in the algebra of split octonions. The approximations are given which lead to classical Maxwell-Heaviside equations from full octonionic equations. The non-existence of magnetic monopoles in classical electrodynamics is connected with the using of associativity limit.

15.009774

17.502743

13.923723

12.975339

15.71858

14.760003

13.957072

13.974899

13.229879

15.23411

13.266159

12.461823

13.128886

12.015899

13.219547

12.758049

12.854253

12.757386

13.170649

13.66517

12.531409

1701.01389

Jerome P. Gauntlett

Aristomenis Donos, Jerome P. Gauntlett, Tom Griffin and Luis Melgar

DC Conductivity and Higher Derivative Gravity

50 pages. Very minor corrections, reference added. Published version

null

10.1088/1361-6382/aa744a

Imperial/TP/2017/JG/01; DCPT-16/37

hep-th

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

For Gauss-Bonnet gravity and in the context of holography we show how the thermal DC conductivity can be obtained by solving a generalised system of Stokes equations for an auxiliary fluid on a curved black hole horizon. For more general higher derivative theories of gravity coupled to gauge-fields, we also analyse the linearised thermal and electric currents that are produced by DC thermal and electric sources. We show how suitably defined DC transport current fluxes of the dual field theory are given by current fluxes defined at the black horizon.

[ { "created": "Thu, 5 Jan 2017 17:09:39 GMT", "version": "v1" }, { "created": "Wed, 31 May 2017 18:25:52 GMT", "version": "v2" } ]

2017-06-28

[ [ "Donos", "Aristomenis", "" ], [ "Gauntlett", "Jerome P.", "" ], [ "Griffin", "Tom", "" ], [ "Melgar", "Luis", "" ] ]

For Gauss-Bonnet gravity and in the context of holography we show how the thermal DC conductivity can be obtained by solving a generalised system of Stokes equations for an auxiliary fluid on a curved black hole horizon. For more general higher derivative theories of gravity coupled to gauge-fields, we also analyse the linearised thermal and electric currents that are produced by DC thermal and electric sources. We show how suitably defined DC transport current fluxes of the dual field theory are given by current fluxes defined at the black horizon.

14.834166

13.158443

17.869646

14.773826

14.823687

13.931891

13.733692

13.879671

14.35111

20.079025

14.779977

14.701198

14.764898

14.336687

14.627859

15.39368

14.314791

14.667192

14.50385

15.282486

14.537113

1505.08112

Mir Faizal

Ji\v{r}\'i Voh\'anka and Mir Faizal

Supersymmetric Chern-Simons Theory in Presence of a Boundary in the Light-Like Direction

24 pages, Accepted in Nucl. Phys. B

Nucl Phys B 904, 327 (2016)

10.1016/j.nuclphysb.2015.12.010

null

hep-th

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

In this paper, we will analyze a three dimensional supersymmetric Chern-Simons theory on a manifold with a boundary. The boundary we will consider in this paper will be defined by $n\cdot x=0$, where $n$ is a light-like vector. It will be demonstrated that this boundary is preserved under the action of the $SIM(1)$ subgroup of the Lorentz group. Furthermore, the presence of this boundary will break half of the supersymmetry of the original theory. As the original Chern-Simons theory had $\mathcal{N} =1$ supersymmetry in absence of a boundary, it will only have $\mathcal{N}=1/2$ supersymmetry in presence of this boundary. We will also observe that the Chern-Simons theory can be made gauge invariant by introducing new degrees of freedom on the boundary. The gauge transformation of these new degrees of freedom will exactly cancel the boundary term obtained from the gauge transformation of the Chern-Simons theory.

[ { "created": "Mon, 4 May 2015 08:22:20 GMT", "version": "v1" }, { "created": "Wed, 3 Feb 2016 15:56:20 GMT", "version": "v2" } ]

2016-02-23

[ [ "Vohánka", "Jiří", "" ], [ "Faizal", "Mir", "" ] ]

In this paper, we will analyze a three dimensional supersymmetric Chern-Simons theory on a manifold with a boundary. The boundary we will consider in this paper will be defined by $n\cdot x=0$, where $n$ is a light-like vector. It will be demonstrated that this boundary is preserved under the action of the $SIM(1)$ subgroup of the Lorentz group. Furthermore, the presence of this boundary will break half of the supersymmetry of the original theory. As the original Chern-Simons theory had $\mathcal{N} =1$ supersymmetry in absence of a boundary, it will only have $\mathcal{N}=1/2$ supersymmetry in presence of this boundary. We will also observe that the Chern-Simons theory can be made gauge invariant by introducing new degrees of freedom on the boundary. The gauge transformation of these new degrees of freedom will exactly cancel the boundary term obtained from the gauge transformation of the Chern-Simons theory.

4.798577

4.262461

4.739774

4.215991

4.423063

4.168138

4.32918

4.33322

4.20473

4.92459

4.212385

4.33351

4.506656

4.362974

4.447226

4.337485

4.372687

4.301932

4.361726

4.541505

4.413403

1211.4872

Petr Horava

Tom Griffin, Petr Horava, Charles M. Melby-Thompson

Lifshitz Gravity for Lifshitz Holography

9 pages

Phys. Rev. Lett. 110 (2013) 081602

10.1103/PhysRevLett.110.081602

null

hep-th cond-mat.str-el gr-qc math.DG

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

We argue that Horava-Lifshitz (HL) gravity provides the minimal holographic dual for Lifshitz-type field theories with anisotropic scaling and dynamical exponent z. First we show that Lifshitz spacetimes are vacuum solutions of HL gravity, without need for additional matter. Then we perform holographic renormalization of HL gravity, and show how it reproduces the full structure of the z=2 anisotropic Weyl anomaly in dual field theories in 2+1 dimensions, while its minimal relativistic gravity counterpart yields only one of two independent central charges in the anomaly.

[ { "created": "Tue, 20 Nov 2012 21:00:01 GMT", "version": "v1" } ]

2013-03-27

[ [ "Griffin", "Tom", "" ], [ "Horava", "Petr", "" ], [ "Melby-Thompson", "Charles M.", "" ] ]

We argue that Horava-Lifshitz (HL) gravity provides the minimal holographic dual for Lifshitz-type field theories with anisotropic scaling and dynamical exponent z. First we show that Lifshitz spacetimes are vacuum solutions of HL gravity, without need for additional matter. Then we perform holographic renormalization of HL gravity, and show how it reproduces the full structure of the z=2 anisotropic Weyl anomaly in dual field theories in 2+1 dimensions, while its minimal relativistic gravity counterpart yields only one of two independent central charges in the anomaly.

7.353691

6.38581

8.075229

6.970151

7.134681

7.09799

6.653033

6.64737

6.81366

7.936018

6.604224

7.296291

7.975675

7.190265

7.32803

7.146413

7.358862

7.227921

7.047683

7.851431

6.853095

1310.0608

Henryk Arodz

H. Arodz, J. Karkowski and Z. Swierczynski

Three-body forces from a classical nonlinear field

12 pages, 2 figures

null

10.5506/APhysPolB.44.1991

null

hep-th nlin.SI physics.class-ph

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

Forces in the systems of two opposite sign and three identical charges coupled to the dynamical scalar field of the signum-Gordon model are investigated. Three-body force is present, and the exact formula for it is found. Flipping the sign of one of the two charges changes not only the sign but also the magnitude of the force. Both effects are due to nonlinearity of the field equation.

[ { "created": "Wed, 2 Oct 2013 07:33:46 GMT", "version": "v1" } ]

2015-06-17

[ [ "Arodz", "H.", "" ], [ "Karkowski", "J.", "" ], [ "Swierczynski", "Z.", "" ] ]

Forces in the systems of two opposite sign and three identical charges coupled to the dynamical scalar field of the signum-Gordon model are investigated. Three-body force is present, and the exact formula for it is found. Flipping the sign of one of the two charges changes not only the sign but also the magnitude of the force. Both effects are due to nonlinearity of the field equation.

16.146503

13.277749

13.075861

10.031606

11.680114

12.878975

12.052972

10.765406

11.668234

14.255192

12.446956

12.611504

11.307405

11.567402

12.112706

12.979033

12.538322

11.888541

11.813301

12.180827

12.580784

1208.2277

Hai Siong Tan

H. S. Tan

Exploring Three-dimensional Higher-Spin Supergravity based on sl(N |N - 1) Chern-Simons theories

41 pages, a few typos in v4 corrected

JHEP 1211:063,2012

10.1007/JHEP11(2012)063

null

hep-th

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

We investigate various aspects of higher-spin anti-de Sitter supergravity in three dimensions as described by Chern-Simons theory based on the finite-dimensional superalgebra sl(N |N - 1), with the particular case of N = 3 as our prime example. This class of theories serves as a natural supersymmetrization of the higher-spin gravity theory based on sl(N) Chern-Simons theories. We demonstrate explicitly that the asymptotic symmetry algebra contains the N = 2 superconformal algebra in each sector. The appropriate Killing spinor equations are derived and used to classify existing and new classical solutions. We also discuss holonomy conditions, higher-spin black holes and conical defect spacetimes in this class of theories.

[ { "created": "Fri, 10 Aug 2012 20:14:07 GMT", "version": "v1" }, { "created": "Sat, 18 Aug 2012 00:22:47 GMT", "version": "v2" }, { "created": "Mon, 15 Oct 2012 00:56:14 GMT", "version": "v3" }, { "created": "Sun, 21 Oct 2012 10:02:18 GMT", "version": "v4" }, { "created": "Wed, 14 Nov 2012 02:36:47 GMT", "version": "v5" } ]

2015-06-11

[ [ "Tan", "H. S.", "" ] ]

We investigate various aspects of higher-spin anti-de Sitter supergravity in three dimensions as described by Chern-Simons theory based on the finite-dimensional superalgebra sl(N |N - 1), with the particular case of N = 3 as our prime example. This class of theories serves as a natural supersymmetrization of the higher-spin gravity theory based on sl(N) Chern-Simons theories. We demonstrate explicitly that the asymptotic symmetry algebra contains the N = 2 superconformal algebra in each sector. The appropriate Killing spinor equations are derived and used to classify existing and new classical solutions. We also discuss holonomy conditions, higher-spin black holes and conical defect spacetimes in this class of theories.

8.528104

7.589184

9.595278

7.783948

7.5993

8.21779

7.44772

7.072332

7.140955

10.270146

7.448628

8.169785

8.33806

7.974661

8.132616

8.556393

7.936232

8.400591

8.162469

8.923728

7.966246

2103.10797

Mario Trigiante

Alfredo Giambrone, Emanuel Malek, Henning Samtleben, Mario Trigiante

Global Properties of the Conformal Manifold for S-Fold Backgrounds

33 pages, 1 figure, subsections 4.2.1 and 5.4.1 added in which the symmetry properties of the spectrum with respect to the chi parameter is discussed in detail; typos corrected

null

10.1007/JHEP06(2021)111

null

hep-th

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

We study a one-parameter family of $\mathcal{N}=2$ anti-de Sitter vacua with ${\rm U}(1)^2$ symmetry of gauged four-dimensional maximal supergravity, with dyonic gauge group $[{\rm SO}(6)\times {\rm SO}(1,1)]\ltimes \mathbb{R}^{12}$. These backgrounds are known to correspond to Type IIB S-fold solutions with internal manifold of topology $S^1\times S^5$. The family of AdS$_4$ vacua is parametrized by a modulus $\chi$. Although $\chi$ appears non-compact in the four-dimensional supergravity, we show that this is just an artefact of the four-dimensional description. We give the 10-dimensional geometric interpretation of the modulus and show that it actually has periodicity of $\frac{2\pi}{T}$, which is the inverse radius of $S^1$. We deduce this by providing the explicit $D=10$ uplift of the family of vacua as well as computing the entire modulus-dependent Kaluza-Klein spectrum as a function of $\chi$. At the special values $\chi=0$ and $\chi=\frac{\pi}{T}$, the symmetry enhances according to ${\rm U}(1)^2\rightarrow{\rm U}(2)$, giving rise however to inequivalent Kaluza-Klein spectra. At $\chi=\frac{\pi}{T}$, this realizes a bosonic version of the "space invaders" scenario with additional massless vector fields arising from formerly massive fields at higher Kaluza-Klein levels.

[ { "created": "Fri, 19 Mar 2021 13:33:01 GMT", "version": "v1" }, { "created": "Tue, 5 Oct 2021 15:04:15 GMT", "version": "v2" } ]

2021-10-06

[ [ "Giambrone", "Alfredo", "" ], [ "Malek", "Emanuel", "" ], [ "Samtleben", "Henning", "" ], [ "Trigiante", "Mario", "" ] ]

We study a one-parameter family of $\mathcal{N}=2$ anti-de Sitter vacua with ${\rm U}(1)^2$ symmetry of gauged four-dimensional maximal supergravity, with dyonic gauge group $[{\rm SO}(6)\times {\rm SO}(1,1)]\ltimes \mathbb{R}^{12}$. These backgrounds are known to correspond to Type IIB S-fold solutions with internal manifold of topology $S^1\times S^5$. The family of AdS$_4$ vacua is parametrized by a modulus $\chi$. Although $\chi$ appears non-compact in the four-dimensional supergravity, we show that this is just an artefact of the four-dimensional description. We give the 10-dimensional geometric interpretation of the modulus and show that it actually has periodicity of $\frac{2\pi}{T}$, which is the inverse radius of $S^1$. We deduce this by providing the explicit $D=10$ uplift of the family of vacua as well as computing the entire modulus-dependent Kaluza-Klein spectrum as a function of $\chi$. At the special values $\chi=0$ and $\chi=\frac{\pi}{T}$, the symmetry enhances according to ${\rm U}(1)^2\rightarrow{\rm U}(2)$, giving rise however to inequivalent Kaluza-Klein spectra. At $\chi=\frac{\pi}{T}$, this realizes a bosonic version of the "space invaders" scenario with additional massless vector fields arising from formerly massive fields at higher Kaluza-Klein levels.

6.046587

6.2951

6.97516

6.012492

6.250933

6.320168

6.500815

6.023186

5.715695

7.090936

5.890922

6.044633

5.978683

5.880893

6.082029

5.996711

5.789649

6.001461

5.919711

6.126894

5.902955

1011.5107

Yaron Oz

Yasha Neiman, Yaron Oz

Relativistic Hydrodynamics with General Anomalous Charges

13 pages, Revtex

JHEP 1103:023,2011

10.1007/JHEP03(2011)023

null

hep-th hep-ph

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

We consider the hydrodynamic regime of gauge theories with general triangle anomalies, where the participating currents may be global or gauged, abelian or non-abelian. We generalize the argument of arXiv:0906.5044, and construct at the viscous order the stress-energy tensor, the charge currents and the entropy current.

[ { "created": "Tue, 23 Nov 2010 14:23:04 GMT", "version": "v1" } ]

2011-03-18

[ [ "Neiman", "Yasha", "" ], [ "Oz", "Yaron", "" ] ]

We consider the hydrodynamic regime of gauge theories with general triangle anomalies, where the participating currents may be global or gauged, abelian or non-abelian. We generalize the argument of arXiv:0906.5044, and construct at the viscous order the stress-energy tensor, the charge currents and the entropy current.

13.72903

11.928516

12.891506

10.583017

10.119612

11.835183

10.850307

10.840215

10.505612

12.953767

10.617699

11.641036

11.920156

11.422274

10.840179

11.134296

11.120825

11.089314

11.833751

11.669792

10.872443

hep-th/0611173

Mohammad R. Garousi

Superstring Scattering from O-planes

22 pages, no figure, latex file, v2: minor corrections, version to appear in Nucl. Phys. B

Nucl.Phys.B765:166-184,2007

10.1016/j.nuclphysb.2006.12.007

null

hep-th

null

We write the vertex operators of massless NS-NS and RR states of Type II superstring theory in the presence of Orientifold p-planes. They include the usual vertex operators of Type II theory and their images. We then calculate the two-point functions of these vertex operators at the projective plane PR_2 level. We show that the result can be written in the Veneziano-type formulae, with the same kinematic factor that appears in the D_p-branes amplitudes. While the scattering amplitudes with the usual vertex operators are not gauge invariant, the above amplitudes are invariant. From the amplitude describing scattering of two NS-NS states off the O-plane, we find the low energy effective action of O-planes. The result shows a relative factor 2^{p-6} between couplings to O-planes and to D-branes at (\alpha')^2 order.

[ { "created": "Wed, 15 Nov 2006 16:40:42 GMT", "version": "v1" }, { "created": "Sat, 6 Jan 2007 08:29:41 GMT", "version": "v2" } ]

2008-11-26

[ [ "Garousi", "Mohammad R.", "" ] ]

We write the vertex operators of massless NS-NS and RR states of Type II superstring theory in the presence of Orientifold p-planes. They include the usual vertex operators of Type II theory and their images. We then calculate the two-point functions of these vertex operators at the projective plane PR_2 level. We show that the result can be written in the Veneziano-type formulae, with the same kinematic factor that appears in the D_p-branes amplitudes. While the scattering amplitudes with the usual vertex operators are not gauge invariant, the above amplitudes are invariant. From the amplitude describing scattering of two NS-NS states off the O-plane, we find the low energy effective action of O-planes. The result shows a relative factor 2^{p-6} between couplings to O-planes and to D-branes at (\alpha')^2 order.

10.509137

10.505307

10.645575

9.730843

9.446142

10.969349

10.194106

10.509165

9.799459

13.309402

9.808926

9.802054

9.839368

9.300307

9.942732

9.884572

9.553951

9.944467

9.974025

9.897829

9.659521

2212.05629

S\'ergio Martins Filho

F. T. Brandt and S. Martins-Filho

Field redefinition invariant Lagrange multiplier formalism

16 pages, 8 figures. Typos corrected, added two new references. To appear in Annals of Physics

Annals of Physics 453, 169323 (2023)

10.1016/j.aop.2023.169323

null

hep-th

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

In this paper, we propose a field redefinition invariant Lagrange multiplier (LM) formalism in which new ghost-like fields, analogous to Lee-Yang ghosts, are introduced. These ghost fields are required to restore the field redefinition invariance of the standard path integral of the LM theory and, at the same time, to cancel the additional contributions due to the LM fields. We argue that the extra degrees of freedom in the standard LM formalism, coming from the LM fields, should cancel against the degrees of freedom of the ghost fields. Hence, in the field redefinition invariant formalism the doubling of degrees of freedom, associated with the LM fields, is absent.

[ { "created": "Sun, 11 Dec 2022 23:44:24 GMT", "version": "v1" }, { "created": "Thu, 15 Dec 2022 08:50:51 GMT", "version": "v2" }, { "created": "Thu, 22 Dec 2022 15:05:39 GMT", "version": "v3" }, { "created": "Fri, 20 Jan 2023 16:22:14 GMT", "version": "v4" }, { "created": "Thu, 20 Apr 2023 22:39:33 GMT", "version": "v5" } ]

2024-01-30

[ [ "Brandt", "F. T.", "" ], [ "Martins-Filho", "S.", "" ] ]

In this paper, we propose a field redefinition invariant Lagrange multiplier (LM) formalism in which new ghost-like fields, analogous to Lee-Yang ghosts, are introduced. These ghost fields are required to restore the field redefinition invariance of the standard path integral of the LM theory and, at the same time, to cancel the additional contributions due to the LM fields. We argue that the extra degrees of freedom in the standard LM formalism, coming from the LM fields, should cancel against the degrees of freedom of the ghost fields. Hence, in the field redefinition invariant formalism the doubling of degrees of freedom, associated with the LM fields, is absent.

6.968692

7.07692

7.3586

6.488569

6.783461

7.018019

6.986397

6.536266

6.813836

7.170238

6.490675

6.19555

6.753517

6.448793

6.429962

6.419266

6.065153

6.207413

6.414478

6.44905

6.72527