LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9910214

Konstantin B. Alkalaev

K.B. Alkalaev and S.L. Lyakhovich (Tomsk State University, Russia)

Algebraic Aspects of Interactions of Massive Spinning Particles in Three Dimensions

Talk given at XIV International Workshop QFTHEP'99, Moscow, Russia, May 27-June 2, 1999; 7 pages, LaTeX

null

hep-th

null

The most general 2+1 dimensional spinning particle model is considered. The action functional may involve all the possible first order Poincare invariants of world lines, and the particular class of actions is specified thus the corresponding gauge algebra to be unbroken by inhomogeneous external fields. Nevertheless, the consistency problem reveals itself as a requirement of the global compatibility between first and second class constraints. These compatibility conditions, being unnoticed before in realistic second class theories, can be satisfied for a particle iff the gyromagnetic ratio takes the critical value g=2. The quantization procedure is suggested for a particle in the generic background field by making use of a Darboux co-ordinates, being found by a perturbative expansion in the field multipoles and the general procedure is described for constructing of the respective transformation in any order.

[ { "created": "Wed, 27 Oct 1999 06:01:21 GMT", "version": "v1" } ]

2007-05-23

[ [ "Alkalaev", "K. B.", "", "Tomsk State University, Russia" ], [ "Lyakhovich", "S. L.", "", "Tomsk State University, Russia" ] ]

The most general 2+1 dimensional spinning particle model is considered. The action functional may involve all the possible first order Poincare invariants of world lines, and the particular class of actions is specified thus the corresponding gauge algebra to be unbroken by inhomogeneous external fields. Nevertheless, the consistency problem reveals itself as a requirement of the global compatibility between first and second class constraints. These compatibility conditions, being unnoticed before in realistic second class theories, can be satisfied for a particle iff the gyromagnetic ratio takes the critical value g=2. The quantization procedure is suggested for a particle in the generic background field by making use of a Darboux co-ordinates, being found by a perturbative expansion in the field multipoles and the general procedure is described for constructing of the respective transformation in any order.

23.691019

22.217545

23.56271

21.373384

24.828318

24.154989

23.710875

22.212715

21.190973

27.620651

21.038023

22.566357

23.137308

22.786261

23.186714

23.228683

23.066322

22.991049

22.648672

23.187838

22.493425

1310.0574

Yu Nakayama

Vector Beta function

27 pages, v2: reference added

null

10.1142/S0217751X13501662

IPMU13-0186

hep-th

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

We propose various properties of renormalization group beta functions for vector operators in relativistic quantum field theories. We argue that they must satisfy compensated gauge invariance, orthogonality with respect to scalar beta functions, Higgs-like relation among anomalous dimensions and a gradient property. We further conjecture that non-renormalization holds if and only if the vector operator is conserved. The local renormalization group analysis guarantees the first three within power counting renormalization. We verify all the conjectures in conformal perturbation theories and holography in the weakly coupled gravity regime.

[ { "created": "Wed, 2 Oct 2013 05:59:59 GMT", "version": "v1" }, { "created": "Thu, 10 Oct 2013 10:20:14 GMT", "version": "v2" } ]

2015-06-17

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

We propose various properties of renormalization group beta functions for vector operators in relativistic quantum field theories. We argue that they must satisfy compensated gauge invariance, orthogonality with respect to scalar beta functions, Higgs-like relation among anomalous dimensions and a gradient property. We further conjecture that non-renormalization holds if and only if the vector operator is conserved. The local renormalization group analysis guarantees the first three within power counting renormalization. We verify all the conjectures in conformal perturbation theories and holography in the weakly coupled gravity regime.

12.558106

12.670202

15.169683

12.549374

11.828957

13.402595

12.875684

13.749883

12.226624

16.13447

12.172975

11.639235

12.905049

12.135432

12.1682

12.142581

12.137609

11.811516

11.638947

12.564082

11.494011

1207.6969

Loriano Bonora

L. Bonora, M. Cvitan, P. Dominis Prester, S. Pallua, I. Smolic

Gravitational Chern-Simons terms and black hole entropy. Global aspects

37 pages, a few comments and references added

null

10.1007/s13130-012-4901-1

SISSA 19/2012/EP; ZTF-12-1

hep-th gr-qc

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

We discuss the topological and global gauge properties of the formula for a black hole entropy due to a purely gravitational Chern-Simons term. We study under what topological and geometrical conditions this formula is well-defined. To this end we have to analyze the global properties of the Chern-Simons term itself and the quantization of its coupling. We show that in some cases the coupling quantization may interfere with the well-definiteness of the entropy formula.

[ { "created": "Mon, 30 Jul 2012 15:32:13 GMT", "version": "v1" }, { "created": "Wed, 10 Oct 2012 15:16:31 GMT", "version": "v2" } ]

2015-06-05

[ [ "Bonora", "L.", "" ], [ "Cvitan", "M.", "" ], [ "Prester", "P. Dominis", "" ], [ "Pallua", "S.", "" ], [ "Smolic", "I.", "" ] ]

We discuss the topological and global gauge properties of the formula for a black hole entropy due to a purely gravitational Chern-Simons term. We study under what topological and geometrical conditions this formula is well-defined. To this end we have to analyze the global properties of the Chern-Simons term itself and the quantization of its coupling. We show that in some cases the coupling quantization may interfere with the well-definiteness of the entropy formula.

8.337421

8.377276

7.873929

7.652844

7.560078

8.125573

7.423695

7.783542

7.942499

8.404175

7.528007

7.98738

7.947403

7.754275

7.653579

7.757411

7.636826

7.916644

7.804959

7.839079

7.82566

1411.6957

Gaston Giribet

Gaston Giribet, Yerko V\'asquez

Minimal Log Gravity

13 pages. v2 minor typos corrected. Accepted for publication in Phys. Rev. D

Phys. Rev. D91 (2015) 2, 024026

10.1103/PhysRevD.91.024026

null

hep-th

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

Minimal Massive Gravity (MMG) is an extension of three-dimensional Topologically Massive Gravity that, when formulated about Anti-de Sitter space, accomplishes to solve the tension between bulk and boundary unitarity that other models in three dimensions suffer from. We study this theory at the chiral point, i.e. at the point of the parameter space where one of the central charges of the dual conformal field theory vanishes. We investigate the non-linear regime of the theory, meaning that we study exact solutions to the MMG field equations that are not Einstein manifolds. We exhibit a large class of solutions of this type, which behave asymptotically in different manners. In particular, we find analytic solutions that represent two-parameter deformations of extremal Banados-Teitelboim-Zanelli (BTZ) black holes. These geometries behave asymptotically as solutions of the so-called Log Gravity, and, despite the weakened falling-off close to the boundary, they have finite mass and finite angular momentum, which we compute. We also find time-dependent deformations of BTZ that obey Brown-Henneaux asymptotic boundary conditions. The existence of such solutions show that Birkhoff theorem does not hold in MMG at the chiral point. Other peculiar features of the theory at the chiral point, such as the degeneracy it exhibits in the decoupling limit of the Cotton tensor, are discussed.

[ { "created": "Tue, 25 Nov 2014 18:29:28 GMT", "version": "v1" }, { "created": "Wed, 7 Jan 2015 16:44:19 GMT", "version": "v2" } ]

2015-10-05

[ [ "Giribet", "Gaston", "" ], [ "Vásquez", "Yerko", "" ] ]

Minimal Massive Gravity (MMG) is an extension of three-dimensional Topologically Massive Gravity that, when formulated about Anti-de Sitter space, accomplishes to solve the tension between bulk and boundary unitarity that other models in three dimensions suffer from. We study this theory at the chiral point, i.e. at the point of the parameter space where one of the central charges of the dual conformal field theory vanishes. We investigate the non-linear regime of the theory, meaning that we study exact solutions to the MMG field equations that are not Einstein manifolds. We exhibit a large class of solutions of this type, which behave asymptotically in different manners. In particular, we find analytic solutions that represent two-parameter deformations of extremal Banados-Teitelboim-Zanelli (BTZ) black holes. These geometries behave asymptotically as solutions of the so-called Log Gravity, and, despite the weakened falling-off close to the boundary, they have finite mass and finite angular momentum, which we compute. We also find time-dependent deformations of BTZ that obey Brown-Henneaux asymptotic boundary conditions. The existence of such solutions show that Birkhoff theorem does not hold in MMG at the chiral point. Other peculiar features of the theory at the chiral point, such as the degeneracy it exhibits in the decoupling limit of the Cotton tensor, are discussed.

7.06776

6.355522

7.688248

6.437124

6.703381

6.787305

7.002731

6.702432

6.628648

8.140094

6.554378

6.702008

7.127757

7.009018

6.800561

6.936238

6.826897

6.821094

6.832848

7.231988

6.876333

1012.5564

Zeng Huabi

Hua-Bi Zeng, Xin Gao, Yu Jiang, and Hong-Shi Zong

Analytical Computation of Critical Exponents in Several Holographic Superconductors

20 pages, accepted by JHEP, some interpretation added

JHEP 1105:002,2011

10.1007/JHEP05(2011)002

null

hep-th

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

It is very interesting that all holographic superconductors, such as s-wave, p-wave and d-wave holographic superconductors, show the universal mean-field critical exponent 1/2 at the critical temperature, just like Gindzburg-Landau (G-L) theory for second order phase transitions. Now it is believed that the universal critical exponents appear because the dual gravity theory is classic in the large $N$ limit. However, even in the large $N$ limit there is an exception called "non-mean-field theory": an extension of the s-wave model with a cubic term of the charged scalar field shows a different critical exponent 1. In this paper, we try to use analytical methods to obtain the critical exponents for these models to see how the properties of the gravity action decides the appearance of the mean-field behaviors. It will be seen that just like the G-L theory, it is the fundamental symmetries rather than the detailed parameters of the bulk theory that lead to the universal properties of the holographic superconducting phase transition. The feasibility of the called "non-mean-field theory" is also discussed.

[ { "created": "Mon, 27 Dec 2010 06:36:46 GMT", "version": "v1" }, { "created": "Wed, 20 Apr 2011 02:42:11 GMT", "version": "v2" }, { "created": "Fri, 27 Apr 2012 12:12:59 GMT", "version": "v3" } ]

2012-04-30

[ [ "Zeng", "Hua-Bi", "" ], [ "Gao", "Xin", "" ], [ "Jiang", "Yu", "" ], [ "Zong", "Hong-Shi", "" ] ]

It is very interesting that all holographic superconductors, such as s-wave, p-wave and d-wave holographic superconductors, show the universal mean-field critical exponent 1/2 at the critical temperature, just like Gindzburg-Landau (G-L) theory for second order phase transitions. Now it is believed that the universal critical exponents appear because the dual gravity theory is classic in the large $N$ limit. However, even in the large $N$ limit there is an exception called "non-mean-field theory": an extension of the s-wave model with a cubic term of the charged scalar field shows a different critical exponent 1. In this paper, we try to use analytical methods to obtain the critical exponents for these models to see how the properties of the gravity action decides the appearance of the mean-field behaviors. It will be seen that just like the G-L theory, it is the fundamental symmetries rather than the detailed parameters of the bulk theory that lead to the universal properties of the holographic superconducting phase transition. The feasibility of the called "non-mean-field theory" is also discussed.

8.514884

9.005133

8.250571

7.826599

8.376756

8.330704

8.910504

7.963897

7.420419

8.902125

7.773281

7.809188

8.002316

7.826146

7.696222

7.735301

7.783314

7.956733

7.602548

8.048838

7.900148

hep-th/9510232

null

A.I.Bugrij, V.N.Shadura (Bogoliubov Institute for Theoretical Physics, Kiev, Ukraine)

Three-loop contributions to the free energy of $\lambda\varphi^4$ QFT

11 pages, LaTeX file

null

hep-th

null

The massive scalar field with $\lambda\varphi^4$ interaction placed in $(3+1)$ dimensional box is considered. The sizes of the box are $V\times \beta$ $(V=L^3$ is the volume, $T=1/\beta$ is the temperature). The free energy is evaluated up to the 2nd order of $PT$. The averaging on the vacuum fluctuations is separated from the averaging on the thermal fluctuations explicitly. As result the free-energy is expressed through the scattering amplitudes. We find that in 3-loop approximation the expression for free energy coincides with the ansatz of Bernstein, Dashen, Ma suggested on the base of $S$-matrix formulation of statistical mechanics. The obtained expressions are generalized for higher order of $PT$.

[ { "created": "Tue, 31 Oct 1995 12:13:32 GMT", "version": "v1" }, { "created": "Wed, 1 Nov 1995 20:13:54 GMT", "version": "v2" } ]

2008-02-03

[ [ "Bugrij", "A. I.", "", "Bogoliubov Institute for Theoretical Physics,\n Kiev, Ukraine" ], [ "Shadura", "V. N.", "", "Bogoliubov Institute for Theoretical Physics,\n Kiev, Ukraine" ] ]

The massive scalar field with $\lambda\varphi^4$ interaction placed in $(3+1)$ dimensional box is considered. The sizes of the box are $V\times \beta$ $(V=L^3$ is the volume, $T=1/\beta$ is the temperature). The free energy is evaluated up to the 2nd order of $PT$. The averaging on the vacuum fluctuations is separated from the averaging on the thermal fluctuations explicitly. As result the free-energy is expressed through the scattering amplitudes. We find that in 3-loop approximation the expression for free energy coincides with the ansatz of Bernstein, Dashen, Ma suggested on the base of $S$-matrix formulation of statistical mechanics. The obtained expressions are generalized for higher order of $PT$.

9.699978

10.038505

10.609101

9.749328

10.311865

9.449478

9.189697

8.802424

9.386478

10.520983

9.354993

9.328094

9.492815

9.187239

9.001842

9.553823

9.038729

9.43046

9.480381

9.635294

9.407117

hep-th/0301232

Joel Giedt

Z_3 orbifolds of the SO(32) heterotic string: 1 Wilson line embeddings

1+16 pages, no figures

Nucl.Phys. B671 (2003) 133-147

10.1016/j.nuclphysb.2003.08.031

null

hep-th

null

We consider compactification of the SO(32) heterotic string on a 6-dimensional Z_3 orbifold with one discrete Wilson line. A complete set of all possible embeddings is given, 159 in all. The unbroken subgroups of SO(32) are tabulated. The extended gauge symmetry SU(3)^3, recently discussed by J. E. Kim [hep-th/0301177] for semi-realistic E_8 x E_8 heterotic string models, occurs for several embeddings, as well as other groups that may be of interest in unified string models. The extent to which extra gauge group factors can be hidden is discussed and compared to the E_8 x E_8 case. Along flat directions where an effective hidden sector exists, the embeddings described here provide for hidden gauge groups that are not possible in the E_8 x E_8 heterotic string.

[ { "created": "Tue, 28 Jan 2003 22:54:04 GMT", "version": "v1" }, { "created": "Fri, 28 Mar 2003 21:29:30 GMT", "version": "v2" } ]

2010-04-05

[ [ "Giedt", "Joel", "" ] ]

We consider compactification of the SO(32) heterotic string on a 6-dimensional Z_3 orbifold with one discrete Wilson line. A complete set of all possible embeddings is given, 159 in all. The unbroken subgroups of SO(32) are tabulated. The extended gauge symmetry SU(3)^3, recently discussed by J. E. Kim [hep-th/0301177] for semi-realistic E_8 x E_8 heterotic string models, occurs for several embeddings, as well as other groups that may be of interest in unified string models. The extent to which extra gauge group factors can be hidden is discussed and compared to the E_8 x E_8 case. Along flat directions where an effective hidden sector exists, the embeddings described here provide for hidden gauge groups that are not possible in the E_8 x E_8 heterotic string.

10.257644

10.477979

9.827611

9.248384

10.171535

10.779274

10.056843

9.020832

9.260066

10.492041

9.15896

9.75595

9.470583

9.457547

9.395943

9.464725

9.470546

9.519839

9.450918

9.728954

9.327754

hep-th/0004154

Fardin Kheirandish

Fardin Kheirandish and Mohammad Khorrami

Two dimensional fractional supersymmetric conformal field theories and the two point functions

12 pages, latex, no figures

Int.J.Mod.Phys. A16 (2001) 2165-2173

10.1142/S0217751X01004219

null

hep-th

null

A general two dimensional fractional supersymmetric conformal field theory is investigated. The structure of the symmetries of the theory is studied. Then, applying the generators of the closed subalgebra generated by $(L_{-1}, L_{0}, G_{-1/3})$ and $(\bar{L}_{-1}, \bar{L}_{0}, \bar{G}_{-1/3})$, the two point functions of the component fields of supermultiplets are calculated.

[ { "created": "Sun, 23 Apr 2000 06:24:58 GMT", "version": "v1" } ]

2009-10-31

[ [ "Kheirandish", "Fardin", "" ], [ "Khorrami", "Mohammad", "" ] ]

A general two dimensional fractional supersymmetric conformal field theory is investigated. The structure of the symmetries of the theory is studied. Then, applying the generators of the closed subalgebra generated by $(L_{-1}, L_{0}, G_{-1/3})$ and $(\bar{L}_{-1}, \bar{L}_{0}, \bar{G}_{-1/3})$, the two point functions of the component fields of supermultiplets are calculated.

5.093677

5.047121

4.967361

4.742248

5.328471

4.865265

4.858511

5.043376

4.324618

5.300761

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4.632194

4.804367

4.670194

4.591837

4.756908

4.75136

4.741447

4.687865

4.652942

4.708885

1905.05294

Korkut Bardakci

K.Bardakci

QCD 3 On The World Sheet

21 pages, 2 figures. More typos corrected. A paragraph is rewritten for clarity. Results are unchanged

null

10.1007/JHEP07(2019)112

null

hep-th

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

In this article, we apply the world sheet approach developed in earlier work to QCD in 1+2 dimensions. The starting point is a field theory on the world sheet that reproduces the planar graphs of QCD parametrized by the light cone variables. We study the ground state of this model using a variational approach, and show that it consists of a set of graphs infinitely dense on the world sheet. The energy of this new ground state is lower than that of the empty world sheet, signaling a phase transition. Also, a finite mass is generated in the originally massless theory. Finally, we consider a particular set of time dependent fluctuations about the static ground state configuration, which result in the formation of a string on the world sheet.

[ { "created": "Mon, 13 May 2019 21:39:05 GMT", "version": "v1" }, { "created": "Tue, 28 May 2019 19:39:20 GMT", "version": "v2" }, { "created": "Wed, 12 Jun 2019 18:38:08 GMT", "version": "v3" }, { "created": "Thu, 11 Jul 2019 18:00:32 GMT", "version": "v4" } ]

2019-09-04

[ [ "Bardakci", "K.", "" ] ]

In this article, we apply the world sheet approach developed in earlier work to QCD in 1+2 dimensions. The starting point is a field theory on the world sheet that reproduces the planar graphs of QCD parametrized by the light cone variables. We study the ground state of this model using a variational approach, and show that it consists of a set of graphs infinitely dense on the world sheet. The energy of this new ground state is lower than that of the empty world sheet, signaling a phase transition. Also, a finite mass is generated in the originally massless theory. Finally, we consider a particular set of time dependent fluctuations about the static ground state configuration, which result in the formation of a string on the world sheet.

8.733192

8.590603

9.196327

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8.625732

8.324947

8.626837

8.195374

8.733529

8.923313

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8.374411

8.216857

8.089247

8.367965

8.175701

8.196962

8.19911

8.183689

8.486014

8.375296

2403.12318

Antonio Pittelli

Orbifold Indices in Four Dimensions

26 pages

null

hep-th math-ph math.MP

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

We introduce supersymmetric indices for four-dimensional gauge theories defined on $\mathscr O \times S^1$, where $\mathscr O $ is a circle bundle over the weighted complex projective line informally known as spindle. Trivial fibrations yield a four-dimensional version of the spindle index, which we obtain by applying localization to partition functions of theories on the direct product of a spindle and a two-dimensional torus. Conversely, non-trivial fibrations lead to the branched lens index, which we compute by localizing theories on the direct product of a circle and a branched covering of the lens space, possibly endowed with conical singularities. The branched lens index encompasses the maximally refined four-dimensional lens index as a special case.

[ { "created": "Mon, 18 Mar 2024 23:23:39 GMT", "version": "v1" } ]

2024-03-20

[ [ "Pittelli", "Antonio", "" ] ]

We introduce supersymmetric indices for four-dimensional gauge theories defined on $\mathscr O \times S^1$, where $\mathscr O $ is a circle bundle over the weighted complex projective line informally known as spindle. Trivial fibrations yield a four-dimensional version of the spindle index, which we obtain by applying localization to partition functions of theories on the direct product of a spindle and a two-dimensional torus. Conversely, non-trivial fibrations lead to the branched lens index, which we compute by localizing theories on the direct product of a circle and a branched covering of the lens space, possibly endowed with conical singularities. The branched lens index encompasses the maximally refined four-dimensional lens index as a special case.

9.948307

9.418828

10.722263

8.819063

9.863123

9.599401

10.974065

9.449678

8.808859

12.637244

9.198042

9.585699

10.659657

9.370524

9.778617

9.436243

9.685019

9.27793

9.023609

9.870293

9.398759

hep-th/0307280

Boris Pioline

M. Berkooz (Weizmann) and B. Pioline (LPTHE)

Strings in an electric field, and the Milne Universe

46 pages, 8 figures, uses JHEP3.cls; v2: minor corrections, clarifications and several refs added; v3: more minor corrections, final version published in JCAP

JCAP0311:007,2003

10.1088/1475-7516/2003/11/007

LPTHE-03-21,WIS/20/03-JUL-DPP

hep-th

null

Arguably the simplest model of a cosmological singularity in string theory, the Lorentzian orbifold $\Real^{1,1}/boost$ is known to lead to severe divergences in scattering amplitudes of untwisted states, indicating a large backreaction toward the singularity. In this work we take a first step in investigating whether condensation of twisted states may remedy this problem and resolve the spacelike singularity. By using the formal analogy with charged open strings in an electric field, we argue that, contrary to earlier claims, twisted sectors do contain physical scattering states, which can be viewed as charged particles in an electric field. Correlated pairs of twisted states will therefore be produced, by the ordinary Schwinger mechanism. For open strings in an electric field, on-shell wave functions for the zero-modes are determined, and shown to analytically continue to non-normalizable modes of the usual Landau harmonic oscillator in Euclidean space. Closed strings scattering states of the Milne orbifold continue to non-normalizable modes in an unusual Euclidean orbifold of $\Real^2$ by a rotation by an irrational angle. Irrespective of the formal analogy with the Milne Universe, open strings in a constant electric field, or colliding D-branes, may also serve as a useful laboratory to study time-dependence in string theory.

[ { "created": "Tue, 29 Jul 2003 13:23:56 GMT", "version": "v1" }, { "created": "Tue, 19 Aug 2003 22:45:27 GMT", "version": "v2" }, { "created": "Tue, 18 Nov 2003 11:15:36 GMT", "version": "v3" } ]

2008-11-26

[ [ "Berkooz", "M.", "", "Weizmann" ], [ "Pioline", "B.", "", "LPTHE" ] ]

Arguably the simplest model of a cosmological singularity in string theory, the Lorentzian orbifold $\Real^{1,1}/boost$ is known to lead to severe divergences in scattering amplitudes of untwisted states, indicating a large backreaction toward the singularity. In this work we take a first step in investigating whether condensation of twisted states may remedy this problem and resolve the spacelike singularity. By using the formal analogy with charged open strings in an electric field, we argue that, contrary to earlier claims, twisted sectors do contain physical scattering states, which can be viewed as charged particles in an electric field. Correlated pairs of twisted states will therefore be produced, by the ordinary Schwinger mechanism. For open strings in an electric field, on-shell wave functions for the zero-modes are determined, and shown to analytically continue to non-normalizable modes of the usual Landau harmonic oscillator in Euclidean space. Closed strings scattering states of the Milne orbifold continue to non-normalizable modes in an unusual Euclidean orbifold of $\Real^2$ by a rotation by an irrational angle. Irrespective of the formal analogy with the Milne Universe, open strings in a constant electric field, or colliding D-branes, may also serve as a useful laboratory to study time-dependence in string theory.

11.255361

10.623516

12.67387

11.339282

12.154453

11.63174

12.334629

10.687521

10.732385

13.223632

11.038492

11.279509

11.45002

10.894253

11.068398

10.840299

10.995131

10.572756

10.786051

11.228938

11.109589

2310.02793

Dan Xie

Dan Xie, Zekai Yu

Hyperelliptic families and 4d $\mathcal{N}=2$ SCFT

14 pages, comments welcome

null

hep-th math.AG

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

We classify four dimensional $\mathcal{N}=2$ SCFTs whose Seiberg-Witten (SW) geometries can be written as hyperelliptic families. By using special K\"ahler condition of SW geometry, we reduce the problem to one parameter quasi-homogeneous hyperelliptic families $y^2=f(x,t)$. The classification is given by further demanding that the complex algebraic surface defined by $y^2=f(x,t)$ has an isolated singularity. We then write down the full SW geometry by looking at mini-versal deformations of the one parameter family, and the SW differential is also written down. The detailed physical data for these theories are found by matching the theory with other known construction. Our solutions recover the known rank one and rank two results, and give some infinite sequences valid at arbitrary ranks. We also studied $Z_2$ quotient of above hyperelliptic families which give rise to $B$ type and $D$ type conformal gauge theory, and further generalizations.

[ { "created": "Wed, 4 Oct 2023 13:12:33 GMT", "version": "v1" } ]

2023-10-05

[ [ "Xie", "Dan", "" ], [ "Yu", "Zekai", "" ] ]

We classify four dimensional $\mathcal{N}=2$ SCFTs whose Seiberg-Witten (SW) geometries can be written as hyperelliptic families. By using special K\"ahler condition of SW geometry, we reduce the problem to one parameter quasi-homogeneous hyperelliptic families $y^2=f(x,t)$. The classification is given by further demanding that the complex algebraic surface defined by $y^2=f(x,t)$ has an isolated singularity. We then write down the full SW geometry by looking at mini-versal deformations of the one parameter family, and the SW differential is also written down. The detailed physical data for these theories are found by matching the theory with other known construction. Our solutions recover the known rank one and rank two results, and give some infinite sequences valid at arbitrary ranks. We also studied $Z_2$ quotient of above hyperelliptic families which give rise to $B$ type and $D$ type conformal gauge theory, and further generalizations.

11.477028

10.13475

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10.628476

10.596706

10.785058

10.592134

10.566378

10.479278

11.368303

10.687923

2405.02452

Mikhail A. Vasiliev

Yu. A. Tatarenko and M. A. Vasiliev

Bilinear Fronsdal currents in the $AdS_{4}$ higher-spin theory

47 pages

null

hep-th

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

We analyse higher-spin theory with general coupling constant $\eta$ at the second order, focusing on the gauge non-invariant vertices $\Upsilon(\omega,\omega)$, $\Upsilon(\Omega,\omega,C)$ and $\Upsilon(\omega,C)$, that are shown to generate nontrivial currents in the Fronsdal equations. Explicit expressions for the currents are found in the frame-like formalism counterpart of the TT gauge worked out in the paper. The nonlinear higher-spin theory is shown to generate all types of Metsaev's currents with the coupling constants manifestly expressed via the complex coupling constant $\eta$ of the higher-spin theory. It is shown that all currents in the higher-spin theory are conformal in the TT gauge except for those bilinear in the higher-spin gauge fields $\omega$.

[ { "created": "Fri, 3 May 2024 19:35:44 GMT", "version": "v1" } ]

2024-05-07

[ [ "Tatarenko", "Yu. A.", "" ], [ "Vasiliev", "M. A.", "" ] ]

We analyse higher-spin theory with general coupling constant $\eta$ at the second order, focusing on the gauge non-invariant vertices $\Upsilon(\omega,\omega)$, $\Upsilon(\Omega,\omega,C)$ and $\Upsilon(\omega,C)$, that are shown to generate nontrivial currents in the Fronsdal equations. Explicit expressions for the currents are found in the frame-like formalism counterpart of the TT gauge worked out in the paper. The nonlinear higher-spin theory is shown to generate all types of Metsaev's currents with the coupling constants manifestly expressed via the complex coupling constant $\eta$ of the higher-spin theory. It is shown that all currents in the higher-spin theory are conformal in the TT gauge except for those bilinear in the higher-spin gauge fields $\omega$.

12.675406

11.9349

13.402357

12.159301

12.834146

12.214419

12.461148

12.028522

11.579313

14.138056

11.874875

11.879952

12.142185

11.987144

11.795625

11.733905

11.646097

11.907896

11.901346

12.598344

11.377802

1703.10851

Josip Trampetic Dr.

Stjepan Meljanac, Salvatore Mignemi, Josip Trampetic, Jiangyang You

Nonassociative Snyder phi4 Quantum Field Theory

13 pages, 6 figures. Version to be published in Phys.Rev.D

Phys. Rev. D 96, 045021 (2017)

10.1103/PhysRevD.96.045021

null

hep-th

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

In this article we define and quantize a truncated form of the nonassociative and noncommutative Snyder phi^4 field theory using the functional method in momentum space. More precisely, the action is approximated by expanding up to the linear order in the Snyder deformation parameter beta, producing an effective model on commutative spacetime for the computation of the two-, four- and six-point functions. The two- and four-point functions at one loop have the same structure as at the tree level, with UV divergences faster than in the commutative theory. The same behavior appears in the six-point function, with a logarithmic UV divergence and renders the theory unrenormalizable at beta^1 order except for the special choice of free parameters s_1=-s_2. We expect effects from nonassociativity on the correlation functions at beta^1 order, but these are cancelled due to the average over permutations.

[ { "created": "Fri, 31 Mar 2017 11:11:04 GMT", "version": "v1" }, { "created": "Wed, 30 Aug 2017 14:13:18 GMT", "version": "v2" } ]

2017-09-06

[ [ "Meljanac", "Stjepan", "" ], [ "Mignemi", "Salvatore", "" ], [ "Trampetic", "Josip", "" ], [ "You", "Jiangyang", "" ] ]

In this article we define and quantize a truncated form of the nonassociative and noncommutative Snyder phi^4 field theory using the functional method in momentum space. More precisely, the action is approximated by expanding up to the linear order in the Snyder deformation parameter beta, producing an effective model on commutative spacetime for the computation of the two-, four- and six-point functions. The two- and four-point functions at one loop have the same structure as at the tree level, with UV divergences faster than in the commutative theory. The same behavior appears in the six-point function, with a logarithmic UV divergence and renders the theory unrenormalizable at beta^1 order except for the special choice of free parameters s_1=-s_2. We expect effects from nonassociativity on the correlation functions at beta^1 order, but these are cancelled due to the average over permutations.

11.176236

11.384187

10.738857

10.068246

10.68119

10.566624

10.345343

10.554109

10.517156

11.141564

9.997242

10.09303

10.231573

10.110817

10.737977

10.354675

10.284834

10.455767

10.272485

10.836668

10.292129

2007.12966

Lance Dixon

Lance J. Dixon and Yu-Ting Liu

Lifting Heptagon Symbols to Functions

46 pages, 5 figures, 3 tables

null

10.1007/JHEP10(2020)031

SLAC-PUB-17544

hep-th hep-ph

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

Seven-point amplitudes in planar ${\cal N}=4$ super-Yang-Mills theory have previously been constructed through four loops using the Steinmann cluster bootstrap, but only at the level of the symbol. We promote these symbols to actual functions, by specifying their first derivatives and boundary conditions on a particular two-dimensional surface. To do this, we impose branch-cut conditions and construct the entire heptagon function space through weight six. We plot the amplitudes on a few lines in the bulk Euclidean region, and explore the properties of the heptagon function space under the coaction associated with multiple polylogarithms.

[ { "created": "Sat, 25 Jul 2020 16:19:50 GMT", "version": "v1" } ]

2020-10-28

[ [ "Dixon", "Lance J.", "" ], [ "Liu", "Yu-Ting", "" ] ]

Seven-point amplitudes in planar ${\cal N}=4$ super-Yang-Mills theory have previously been constructed through four loops using the Steinmann cluster bootstrap, but only at the level of the symbol. We promote these symbols to actual functions, by specifying their first derivatives and boundary conditions on a particular two-dimensional surface. To do this, we impose branch-cut conditions and construct the entire heptagon function space through weight six. We plot the amplitudes on a few lines in the bulk Euclidean region, and explore the properties of the heptagon function space under the coaction associated with multiple polylogarithms.

13.255651

11.33583

13.09478

11.88365

13.11648

11.758692

11.258273

11.343067

10.547418

15.05523

11.349273

10.572438

11.521421

10.775701

10.911446

10.684679

11.016706

10.733928

10.947146

11.514267

11.262292

1803.04989

Ralph Blumenhagen

Ralph Blumenhagen, Daniel Klaewer, Lorenz Schlechter, Florian Wolf

The Refined Swampland Distance Conjecture in Calabi-Yau Moduli Spaces

71 pages, 11 figures, v2: refs added, typos corrected

null

10.1007/JHEP06(2018)052

MPP-2018-34

hep-th

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

The Swampland Distance Conjecture claims that effective theories derived from a consistent theory of quantum gravity only have a finite range of validity. This will imply drastic consequences for string theory model building. The refined version of this conjecture says that this range is of the order of the naturally built in scale, namely the Planck scale. It is investigated whether the Refined Swampland Distance Conjecture is consistent with proper field distances arising in the well understood moduli spaces of Calabi-Yau compactification. Investigating in particular the non-geometric phases of Kahler moduli spaces of dimension $h^{11}\in\{1,2,101\}$, we always found proper field distances that are smaller than the Planck-length.

[ { "created": "Tue, 13 Mar 2018 18:05:46 GMT", "version": "v1" }, { "created": "Fri, 23 Mar 2018 12:12:28 GMT", "version": "v2" } ]

2018-07-04

[ [ "Blumenhagen", "Ralph", "" ], [ "Klaewer", "Daniel", "" ], [ "Schlechter", "Lorenz", "" ], [ "Wolf", "Florian", "" ] ]

The Swampland Distance Conjecture claims that effective theories derived from a consistent theory of quantum gravity only have a finite range of validity. This will imply drastic consequences for string theory model building. The refined version of this conjecture says that this range is of the order of the naturally built in scale, namely the Planck scale. It is investigated whether the Refined Swampland Distance Conjecture is consistent with proper field distances arising in the well understood moduli spaces of Calabi-Yau compactification. Investigating in particular the non-geometric phases of Kahler moduli spaces of dimension $h^{11}\in\{1,2,101\}$, we always found proper field distances that are smaller than the Planck-length.

11.612471

10.066849

11.181447

9.197647

10.357811

10.207907

9.604251

9.041618

9.540654

10.90927

9.66647

9.913166

9.646024

9.578991

9.545546

9.362561

9.636744

9.543505

9.518025

10.154918

9.392611

hep-th/0506267

Senarath P. de Alwis

S.P. de Alwis

On Integrating Out Heavy Fields in SUSY Theories

Typos corrected, minor changes. 10 pages

Phys.Lett. B628 (2005) 183-187

10.1016/j.physletb.2005.09.027

null

hep-th

null

We examine the procedure for integrating out heavy fields in supersymmetric (both global and local) theories. We find that the usual conditions need to be modified in general and we discuss the restrictions under which they are valid. These issues are relevant for recent work in string compactification with fluxes.

[ { "created": "Thu, 30 Jun 2005 19:52:55 GMT", "version": "v1" }, { "created": "Wed, 6 Jul 2005 18:20:26 GMT", "version": "v2" } ]

2009-11-11

[ [ "de Alwis", "S. P.", "" ] ]

We examine the procedure for integrating out heavy fields in supersymmetric (both global and local) theories. We find that the usual conditions need to be modified in general and we discuss the restrictions under which they are valid. These issues are relevant for recent work in string compactification with fluxes.

13.045896

10.814871

12.751591

10.317322

10.512718

10.62289

10.72931

11.31772

10.599632

12.246144

10.700871

10.843914

12.313878

11.457505

11.086275

11.116991

11.186115

11.32163

11.217986

12.292263

10.375198

0802.1624

Nils Carqueville

Triangle-generation in topological D-brane categories

34 pages

JHEP0804:031,2008

10.1088/1126-6708/2008/04/031

null

hep-th

null

Tachyon condensation in topological Landau-Ginzburg models can generally be studied using methods of commutative algebra and properties of triangulated categories. The efficiency of this approach is demonstrated by explicitly proving that every D-brane system in all minimal models of type ADE can be generated from only one or two fundamental branes.

[ { "created": "Tue, 12 Feb 2008 12:31:20 GMT", "version": "v1" } ]

2008-11-26

[ [ "Carqueville", "Nils", "" ] ]

Tachyon condensation in topological Landau-Ginzburg models can generally be studied using methods of commutative algebra and properties of triangulated categories. The efficiency of this approach is demonstrated by explicitly proving that every D-brane system in all minimal models of type ADE can be generated from only one or two fundamental branes.

12.667204

10.467455

17.217251

10.471848

10.671049

10.835693

10.846434

9.943515

9.746281

17.625013

10.607232

9.665375

12.982113

10.030043

9.939872

9.712564

9.65431

9.950632

9.698003

12.964855

10.274513

2312.06602

Paolo Massimo Bassani

Paolo M Bassani, Joao Magueijo

Unimodular-like times, evolution and Brans-Dicke Gravity

null

hep-th gr-qc

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

In unimodular-like theories, the constants of nature are demoted from pre-given parameters to phase space variables. Their canonical duals provide physical time variables. We investigate how this interacts with an alternative approach to varying constants, where they are replaced by dynamical scalar fields. Specifically we investigate the Brans-Dicke theory of gravity and its interaction with clocks dual to the cosmological constant, the Planck mass, etc. We crucially distinguish between the different role of Newton's G in this process, leading to the possibility of local Lorentz invariance violation. A large number of possible theories emerge, for example where the Brans-Dicke coupling, omega, depends on unimodular-like times (in a generalization of scalar-tensor theories), or even become the dual variable to unimodular-like clocks ticking variations in other demoted constants, such as the cosmological constant. We scan the space of possible theories and select those most interesting regarding the joint variations of the Brans-Dicke omega and other parameters, (such as the cosmological constant); and also regarding their energy conservation violation properties. This ground work is meant to provide the formalism for further developments, namely regarding cosmology, black holes and the cosmological constant problem.

[ { "created": "Mon, 11 Dec 2023 18:32:39 GMT", "version": "v1" } ]

2023-12-12

[ [ "Bassani", "Paolo M", "" ], [ "Magueijo", "Joao", "" ] ]

In unimodular-like theories, the constants of nature are demoted from pre-given parameters to phase space variables. Their canonical duals provide physical time variables. We investigate how this interacts with an alternative approach to varying constants, where they are replaced by dynamical scalar fields. Specifically we investigate the Brans-Dicke theory of gravity and its interaction with clocks dual to the cosmological constant, the Planck mass, etc. We crucially distinguish between the different role of Newton's G in this process, leading to the possibility of local Lorentz invariance violation. A large number of possible theories emerge, for example where the Brans-Dicke coupling, omega, depends on unimodular-like times (in a generalization of scalar-tensor theories), or even become the dual variable to unimodular-like clocks ticking variations in other demoted constants, such as the cosmological constant. We scan the space of possible theories and select those most interesting regarding the joint variations of the Brans-Dicke omega and other parameters, (such as the cosmological constant); and also regarding their energy conservation violation properties. This ground work is meant to provide the formalism for further developments, namely regarding cosmology, black holes and the cosmological constant problem.

14.908649

15.633821

15.150684

13.960486

15.967737

15.039144

15.465636

14.619237

15.502032

14.81816

14.39166

14.885818

14.235022

14.680508

14.404162

14.872426

14.858313

14.122873

14.866183

14.72504

14.49264

1406.2892

Carlos Alberto Vaquera-Araujo

Carlos A. Vaquera-Araujo, Olindo Corradini

Localization of abelian gauge fields on thick branes

9 pages, revised final version, accepted for publication in EPJC

null

10.1140/epjc/s10052-014-3251-2

null

hep-th

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

In this work, we explore a mechanism for abelian gauge field localization on thick branes based on a five-dimensional Stueckelberg-like action. A normalizable zero mode is found through the identification of a suitable coupling function between the brane and the gauge field. The same mechanism is studied for the localization of the abelian Kalb--Ramond field.

[ { "created": "Wed, 11 Jun 2014 12:49:58 GMT", "version": "v1" }, { "created": "Mon, 19 Jan 2015 18:38:19 GMT", "version": "v2" } ]

2015-02-10

[ [ "Vaquera-Araujo", "Carlos A.", "" ], [ "Corradini", "Olindo", "" ] ]

In this work, we explore a mechanism for abelian gauge field localization on thick branes based on a five-dimensional Stueckelberg-like action. A normalizable zero mode is found through the identification of a suitable coupling function between the brane and the gauge field. The same mechanism is studied for the localization of the abelian Kalb--Ramond field.

8.079629

6.264137

7.424104

6.663956

6.630698

6.910879

6.644694

6.878452

7.155274

8.404227

6.91255

7.17128

7.304282

7.445168

7.398449

7.796701

7.451387

7.298932

7.618982

7.939688

7.47842

hep-th/0702030

Akikazu Hashimoto

Ori J. Ganor, Akikazu Hashimoto, Sharon Jue, Bom Soo Kim, and Anthony Ndirango

Aspects of Puff Field Theory

31 pages, 1 figure

JHEP 0708:035,2007

10.1088/1126-6708/2007/08/035

MAD-TH-07-01, UCB-PTH-07/02, LBNL-62285

hep-th

null

We describe some features of the recently constructed "Puff Field Theory," and present arguments in favor of it being a field theory decoupled from gravity. We construct its supergravity dual and calculate the entropy of this theory in the limit of large 't Hooft coupling. We also determine the leading irrelevant operator that governs its deviation from N=4 super Yang-Mills theory.

[ { "created": "Mon, 5 Feb 2007 05:18:19 GMT", "version": "v1" } ]

2009-04-17

[ [ "Ganor", "Ori J.", "" ], [ "Hashimoto", "Akikazu", "" ], [ "Jue", "Sharon", "" ], [ "Kim", "Bom Soo", "" ], [ "Ndirango", "Anthony", "" ] ]

We describe some features of the recently constructed "Puff Field Theory," and present arguments in favor of it being a field theory decoupled from gravity. We construct its supergravity dual and calculate the entropy of this theory in the limit of large 't Hooft coupling. We also determine the leading irrelevant operator that governs its deviation from N=4 super Yang-Mills theory.

12.515388

9.50129

14.481608

9.303578

9.702664

10.26101

8.846853

8.641986

9.244644

14.065106

9.829045

10.204563

11.942953

10.482902

10.207566

10.461948

10.479626

10.173311

10.121405

12.346026

9.921969

hep-th/0104186

Parthasarathi Mitra

P. Mitra

Chiral phase in fermionic measure and the resolution of the strong CP problem

LaTeX, 5 pages: slightly expanded

null

SINP/TNP/01-08

hep-th hep-lat hep-ph

null

The fermionic measure in the functional integral of a gauge theory suffers from an ambiguity in the form of a chiral phase. By fixing it, one is led once again to the conclusion that a chiral phase in the quark mass term of QCD has no effect and cannot cause CP violation.

[ { "created": "Mon, 23 Apr 2001 12:16:19 GMT", "version": "v1" }, { "created": "Tue, 24 Apr 2001 10:28:28 GMT", "version": "v2" }, { "created": "Tue, 8 May 2001 12:20:45 GMT", "version": "v3" } ]

2007-05-23

[ [ "Mitra", "P.", "" ] ]

The fermionic measure in the functional integral of a gauge theory suffers from an ambiguity in the form of a chiral phase. By fixing it, one is led once again to the conclusion that a chiral phase in the quark mass term of QCD has no effect and cannot cause CP violation.

14.834258

12.888712

13.350145

11.263624

12.592007

12.190125

12.255987

12.184902

13.555178

12.432304

11.608315

11.697877

12.504741

11.857468

12.29338

11.374064

11.077102

11.325613

11.939483

13.398697

11.981263

hep-th/0109219

Ludmil Hadjiivanov

Ludmil Hadjiivanov and Todor Popov

On the rational solutions of the su(2)_k Knizhnik-Zamolodchikov equation

EPJ LaTeX Style, amsfonts, 4 pages. A couple of small corrections inserted. Submitted for publication in the Proceedings of the Conference on Geometry, Integrability and Nonlinearity in Condensed Matter and Soft Condensed Matter Physics, 15-20 July 2001, Bansko (Bulgaria)

null

10.1140/epjb/e2002-00282-x

null

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

null

We present some new results on the rational solutions of the Knizhnik-Zamolodchikov equation for the four-point conformal blocks of isospin I primary fields in the SU(2)_k Wess-Zumino-Novikov-Witten model. The rational solutions corresponding to integrable representations of the affine algebra su(2)_k have been classified by Michel, Stanev and Todorov; provided that the conformal dimension is an integer, they are in one-to-one correspondence with the local extensions of the chiral algebra. Here we give another description of these solutions as specific braid-invariant combinations of the so called regular basis and display a new series of rational solutions for isospins I = k+1 corresponding to non-integrable representations of the affine algebra.

[ { "created": "Fri, 28 Sep 2001 11:57:17 GMT", "version": "v1" }, { "created": "Wed, 3 Oct 2001 14:06:07 GMT", "version": "v2" }, { "created": "Wed, 24 Oct 2001 13:28:54 GMT", "version": "v3" } ]

2009-11-07

[ [ "Hadjiivanov", "Ludmil", "" ], [ "Popov", "Todor", "" ] ]

We present some new results on the rational solutions of the Knizhnik-Zamolodchikov equation for the four-point conformal blocks of isospin I primary fields in the SU(2)_k Wess-Zumino-Novikov-Witten model. The rational solutions corresponding to integrable representations of the affine algebra su(2)_k have been classified by Michel, Stanev and Todorov; provided that the conformal dimension is an integer, they are in one-to-one correspondence with the local extensions of the chiral algebra. Here we give another description of these solutions as specific braid-invariant combinations of the so called regular basis and display a new series of rational solutions for isospins I = k+1 corresponding to non-integrable representations of the affine algebra.

7.188473

7.41933

8.939275

7.369603

7.467124

7.63518

7.71527

7.498808

7.08778

8.082292

7.330664

7.062161

7.476192

6.931386

7.132688

6.855953

7.077078

7.195058

7.010174

7.660321

6.805347

1202.1956

Johan Kallen

Johan Kallen, Maxim Zabzine

Twisted supersymmetric 5D Yang-Mills theory and contact geometry

28 pages; v2: minor mistake corrected; v3: matches published version

JHEP 1205 (2012) 125

10.1007/JHEP05(2012)125

UUITP-04/12

hep-th math-ph math.MP math.SG

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

We extend the localization calculation of the 3D Chern-Simons partition function over Seifert manifolds to an analogous calculation in five dimensions. We construct a twisted version of N=1 supersymmetric Yang-Mills theory defined on a circle bundle over a four dimensional symplectic manifold. The notion of contact geometry plays a crucial role in the construction and we suggest a generalization of the instanton equations to five dimensional contact manifolds. Our main result is a calculation of the full perturbative partition function on a five sphere for the twisted supersymmetric Yang-Mills theory with different Chern-Simons couplings. The final answer is given in terms of a matrix model. Our construction admits generalizations to higher dimensional contact manifolds. This work is inspired by the work of Baulieu-Losev-Nekrasov from the mid 90's, and in a way it is covariantization of their ideas for a contact manifold.

[ { "created": "Thu, 9 Feb 2012 11:39:02 GMT", "version": "v1" }, { "created": "Mon, 20 Feb 2012 14:46:58 GMT", "version": "v2" }, { "created": "Tue, 5 Jun 2012 14:05:33 GMT", "version": "v3" } ]

2012-09-12

[ [ "Kallen", "Johan", "" ], [ "Zabzine", "Maxim", "" ] ]

We extend the localization calculation of the 3D Chern-Simons partition function over Seifert manifolds to an analogous calculation in five dimensions. We construct a twisted version of N=1 supersymmetric Yang-Mills theory defined on a circle bundle over a four dimensional symplectic manifold. The notion of contact geometry plays a crucial role in the construction and we suggest a generalization of the instanton equations to five dimensional contact manifolds. Our main result is a calculation of the full perturbative partition function on a five sphere for the twisted supersymmetric Yang-Mills theory with different Chern-Simons couplings. The final answer is given in terms of a matrix model. Our construction admits generalizations to higher dimensional contact manifolds. This work is inspired by the work of Baulieu-Losev-Nekrasov from the mid 90's, and in a way it is covariantization of their ideas for a contact manifold.

6.94455

7.504138

8.360281

6.86798

6.832442

6.748258

7.245947

7.325171

6.942555

8.580374

6.873181

6.922832

7.654682

6.771087

6.621687

6.813278

6.731466

6.883119

6.921907

7.522931

6.615547

hep-th/0208098

Harun-or-Rashid

S.A. Alavi

Berry's phase in noncommutative spaces

7 pages, no figure

Phys.Scripta 67 (2003) 366-368

10.1238/Physica.Regular.067a00366

null

hep-th

null

We introduce the perturbative aspects of noncommutative quantum mechanics. Then we study the Berry's phase in the framework of noncommutative quantum mechanics. The results show deviations from the usual quantum mechanics which depend on the parameter of space/space noncommtativity.

[ { "created": "Wed, 14 Aug 2002 11:02:33 GMT", "version": "v1" } ]

2009-11-07

[ [ "Alavi", "S. A.", "" ] ]

We introduce the perturbative aspects of noncommutative quantum mechanics. Then we study the Berry's phase in the framework of noncommutative quantum mechanics. The results show deviations from the usual quantum mechanics which depend on the parameter of space/space noncommtativity.

9.443272

6.910206

9.102419

7.360307

7.616352

7.025813

6.867168

6.772747

7.208618

12.31043

7.543217

8.301489

9.825359

8.469768

8.598717

8.876836

8.52524

8.452233

8.777369

9.427988

8.516324

hep-th/0510228

Michael Bordag

M. Bordag, J. Grebenyuk, V. Skalozub

Non-transversality of the gluon polarization tensor in a chromomagnetic background

subm. to TMF

Theor.Math.Phys.148:910-922,2006; Teor.Mat.Fiz.148:42-56,2006

10.1007/s11232-006-0087-4

null

hep-th

null

We investigate the question about the transversality of the gluon polarization tensor in a homogeneous chromomagnetic background field. We re-derive the non transversality known from a pure one loop calculation using the Slavnov-Taylor identities. In addition we generalize the procedure to arbitrary gauge fixing parameter $\xi$ and calculate the $\xi$-dependent part of the polarization tensor.

[ { "created": "Thu, 27 Oct 2005 08:05:41 GMT", "version": "v1" } ]

2009-11-11

[ [ "Bordag", "M.", "" ], [ "Grebenyuk", "J.", "" ], [ "Skalozub", "V.", "" ] ]

We investigate the question about the transversality of the gluon polarization tensor in a homogeneous chromomagnetic background field. We re-derive the non transversality known from a pure one loop calculation using the Slavnov-Taylor identities. In addition we generalize the procedure to arbitrary gauge fixing parameter $\xi$ and calculate the $\xi$-dependent part of the polarization tensor.

10.400239

8.581755

7.409175

7.330076

7.733742

8.214757

7.819418

7.362609

7.314302

7.864638

8.306485

8.464562

8.510444

7.930839

8.432439

8.728725

8.001698

8.336805

8.279177

7.998551

8.246344

1911.04483

Giorgos Manolakos

G. Manolakos, P. Manousselis, G. Zoupanos

Gauge Theories on Fuzzy Spaces and Gravity

arXiv admin note: substantial text overlap with arXiv:1907.06280

null

hep-th gr-qc

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

We start by briefly reviewing the description of gravity theories as gauge theories in four dimensions. More specifically we recall the procedure leading to the results of General Relativity and Weyl Gravity in a gauge-theoretic manner. Then, after a brief reminder of the formulation of gauge theories on noncommutative spaces, we review our recent work, where gravity is constructed as a gauge theory on the fuzzy $dS_4$.

[ { "created": "Mon, 11 Nov 2019 13:48:32 GMT", "version": "v1" }, { "created": "Fri, 10 Apr 2020 13:57:11 GMT", "version": "v2" } ]

2020-04-13

[ [ "Manolakos", "G.", "" ], [ "Manousselis", "P.", "" ], [ "Zoupanos", "G.", "" ] ]

We start by briefly reviewing the description of gravity theories as gauge theories in four dimensions. More specifically we recall the procedure leading to the results of General Relativity and Weyl Gravity in a gauge-theoretic manner. Then, after a brief reminder of the formulation of gauge theories on noncommutative spaces, we review our recent work, where gravity is constructed as a gauge theory on the fuzzy $dS_4$.

10.203807

8.361481

9.110007

7.866658

8.528511

8.41266

8.534083

7.965605

8.164775

10.038136

8.327089

8.609811

9.141634

8.704103

8.826471

8.517918

8.57602

8.62479

8.5678

9.146149

8.614418

2006.07268

Roberto Tanzi

Roberto Tanzi and Domenico Giulini

Asymptotic symmetries of Yang-Mills fields in Hamiltonian formulation

We have corrected a few typos and an omission in equation (6.3), introducing a new appendix with its derivation. The rest of the paper and the conclusions are unchanged. Accepted and published on JHEP

Journal of High Energy Physics, year 2020, article number 94 (39 pages)

10.1007/JHEP10(2020)094

null

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

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

We investigate the asymptotic symmetry group of the free SU(N)-Yang-Mills theory using the Hamiltonian formalism. We closely follow the strategy of Henneaux and Troessaert who successfully applied the Hamiltonian formalism to the case of gravity and electrodynamics, thereby deriving the respective asymptotic symmetry groups of these theories from clear-cut first principles. These principles include the minimal assumptions that are necessary to ensure the existence of Hamiltonian structures (phase space, symplectic form, differentiable Hamiltonian) and, in case of Poincar\'e invariant theories, a canonical action of the Poincar\'e group. In the first part of the paper we show how these requirements can be met in the non-abelian SU(N)-Yang-Mills case by imposing suitable fall-off and parity conditions on the fields. We observe that these conditions admit neither non-trivial asymptotic symmetries nor non-zero global charges. In the second part of the paper we discuss possible gradual relaxations of these conditions by following the same strategy that Henneaux and Troessaert had employed to remedy a similar situation in the electromagnetic case. Contrary to our expectation and the findings of Henneaux and Troessaert for the abelian case, there seems to be no relaxation that meets the requirements of a Hamiltonian formalism and allows for non-trivial asymptotic symmetries and charges. Non-trivial asymptotic symmetries and charges are only possible if either the Poincar\'e group fails to act canonically or if the formal expression for the symplectic form diverges, i.e. the form does not exist. This seems to hint at a kind of colour-confinement built into the classical Hamiltonian formulation of non-abelian gauge theories.

[ { "created": "Fri, 12 Jun 2020 15:33:41 GMT", "version": "v1" }, { "created": "Fri, 23 Oct 2020 12:38:16 GMT", "version": "v2" } ]

2020-10-26

[ [ "Tanzi", "Roberto", "" ], [ "Giulini", "Domenico", "" ] ]

We investigate the asymptotic symmetry group of the free SU(N)-Yang-Mills theory using the Hamiltonian formalism. We closely follow the strategy of Henneaux and Troessaert who successfully applied the Hamiltonian formalism to the case of gravity and electrodynamics, thereby deriving the respective asymptotic symmetry groups of these theories from clear-cut first principles. These principles include the minimal assumptions that are necessary to ensure the existence of Hamiltonian structures (phase space, symplectic form, differentiable Hamiltonian) and, in case of Poincar\'e invariant theories, a canonical action of the Poincar\'e group. In the first part of the paper we show how these requirements can be met in the non-abelian SU(N)-Yang-Mills case by imposing suitable fall-off and parity conditions on the fields. We observe that these conditions admit neither non-trivial asymptotic symmetries nor non-zero global charges. In the second part of the paper we discuss possible gradual relaxations of these conditions by following the same strategy that Henneaux and Troessaert had employed to remedy a similar situation in the electromagnetic case. Contrary to our expectation and the findings of Henneaux and Troessaert for the abelian case, there seems to be no relaxation that meets the requirements of a Hamiltonian formalism and allows for non-trivial asymptotic symmetries and charges. Non-trivial asymptotic symmetries and charges are only possible if either the Poincar\'e group fails to act canonically or if the formal expression for the symplectic form diverges, i.e. the form does not exist. This seems to hint at a kind of colour-confinement built into the classical Hamiltonian formulation of non-abelian gauge theories.

6.126992

6.158782

6.259468

6.079123

6.057332

6.45816

6.106083

5.84478

5.959737

6.713288

6.163236

6.019115

5.95904

5.981872

6.012517

6.001945

5.958464

6.020266

5.927825

5.960198

5.787403

1211.1637

Hajar Ebrahim

Mohammad Ali-Akbari, Hajar Ebrahim

Thermalization in External Magnetic Field

21 pages and 7 figures, JHEP published version

null

10.1007/JHEP03(2013)045

IPM/P-2012/046

hep-th

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

In the AdS/CFT framework meson thermalization in the presence of a constant external magnetic field in a strongly coupled gauge theory has been studied. In the gravitational description the thermalization of mesons corresponds to the horizon formation on the flavour D7-brane which is embedded in the AdS_5 x S^5 background in the probe limit. The apparent horizon forms due to the time-dependent change in the baryon number chemical potential, the injection of baryons in the gauge theory. We will numerically show that the thermalization happens even faster in the presence of the magnetic field on the probe brane. We observe that this reduction in the thermalization time sustains up to a specific value of the magnetic field.

[ { "created": "Wed, 7 Nov 2012 18:56:06 GMT", "version": "v1" }, { "created": "Thu, 7 Mar 2013 13:27:07 GMT", "version": "v2" } ]

2015-06-12

[ [ "Ali-Akbari", "Mohammad", "" ], [ "Ebrahim", "Hajar", "" ] ]

In the AdS/CFT framework meson thermalization in the presence of a constant external magnetic field in a strongly coupled gauge theory has been studied. In the gravitational description the thermalization of mesons corresponds to the horizon formation on the flavour D7-brane which is embedded in the AdS_5 x S^5 background in the probe limit. The apparent horizon forms due to the time-dependent change in the baryon number chemical potential, the injection of baryons in the gauge theory. We will numerically show that the thermalization happens even faster in the presence of the magnetic field on the probe brane. We observe that this reduction in the thermalization time sustains up to a specific value of the magnetic field.

7.673914

6.209563

8.069257

6.754373

6.540202

7.048161

6.81778

6.023318

6.578796

8.462513

6.31678

6.594049

7.652014

7.024401

6.896518

7.068782

6.852344

6.824961

7.006423

7.572735

6.93251

hep-th/9603147

Donam Youm

Mirjam Cvetic and Donam Youm

Entropy of Non-Extreme Charged Rotating Black Holes in String Theory

14 pages, uses RevTex, the revised version with minor corrections to appear in Phys. Rev. D

Phys.Rev.D54:2612-2620,1996

10.1103/PhysRevD.54.2612

IASSNS-HEP-96/27, PUPT-1605

hep-th gr-qc

null

We give the explicit expression for four-dimensional rotating charged black hole solutions of N=4 (or N=8) superstring vacua, parameterized by the ADM mass, four charges (two electric and two magnetic charges, each arising from a different U(1) gauge factors), and the angular momentum (as well as the asymptotic values of four toroidal moduli of two-torus and the dilaton-axion field). The explicit form of the thermodynamic entropy is parameterized in a suggestive way as a sum of the product of the `left-moving' and the `right-moving' terms, which may have an interpretation in terms of the microscopic degrees of freedom of the corresponding D-brane configuration. We also give an analogous parameterization of the thermodynamic entropy for the recently obtained five-dimensional rotating charged black holes parameterized by the ADM mass, three U(1) charges and two rotational parameters (as well as the asymptotic values of one toroidal modulus and the dilaton).

[ { "created": "Fri, 22 Mar 1996 06:38:22 GMT", "version": "v1" }, { "created": "Tue, 11 Jun 1996 19:36:56 GMT", "version": "v2" } ]

2009-09-17

[ [ "Cvetic", "Mirjam", "" ], [ "Youm", "Donam", "" ] ]

We give the explicit expression for four-dimensional rotating charged black hole solutions of N=4 (or N=8) superstring vacua, parameterized by the ADM mass, four charges (two electric and two magnetic charges, each arising from a different U(1) gauge factors), and the angular momentum (as well as the asymptotic values of four toroidal moduli of two-torus and the dilaton-axion field). The explicit form of the thermodynamic entropy is parameterized in a suggestive way as a sum of the product of the `left-moving' and the `right-moving' terms, which may have an interpretation in terms of the microscopic degrees of freedom of the corresponding D-brane configuration. We also give an analogous parameterization of the thermodynamic entropy for the recently obtained five-dimensional rotating charged black holes parameterized by the ADM mass, three U(1) charges and two rotational parameters (as well as the asymptotic values of one toroidal modulus and the dilaton).

6.832782

6.033727

7.093499

6.062924

6.416685

6.38941

6.548131

6.206039

6.37832

7.534785

5.925685

6.003812

6.752147

6.53053

6.360689

6.503086

6.526308

6.506918

6.42867

6.972547

6.378353

hep-th/0509198

Tatsuya Tokunaga

String Theories on Flat Supermanifolds

32 pages, 2 figures; references added

null

YITP-05-47

hep-th

null

We construct bosonic string theories, RNS string theories and heterotic string theories on flat supermanifolds. For these string theories, we show cancellations of the central charges and modular invariance. Bosonic string theories on supermanifolds have dimensions (D_B,D_F)=(26,0),(28,2),(30,4),..., where D_B and D_F are the numbers of bosonic coordinates and fermionic coordinates, respectively. We show that in type II string theories the one loop vacuum amplitudes vanish. From this result, we can suggest the existence of supersymmetry on supermanifolds. As examples of the heterotic string theories, we construct those whose massless spectra are related to N=1 supergravity theories and N=1 super Yang-Mills theories with orthosymplectic supergroups on the bosonic flat 10 dimensional Minkowski space. Also, we construct D-branes on supermanifolds and compute tensions of the D-branes. We show that the number of fermionic coordinates contributes to the tensions of the D-branes as an inverse power of the contribution of bosonic coordinates. Moreover, we find some configurations of two D-branes which satisfy the BPS-like no-force conditions if \nu_B - \nu_F = 0,4 and 8, where \nu_B and \nu_F are the numbers of Dirichlet-Neumann directions in the bosonic coordinates and in the fermionic coordinates, respectively.

[ { "created": "Tue, 27 Sep 2005 12:46:58 GMT", "version": "v1" }, { "created": "Wed, 12 Oct 2005 05:11:33 GMT", "version": "v2" } ]

2007-05-23

[ [ "Tokunaga", "Tatsuya", "" ] ]

We construct bosonic string theories, RNS string theories and heterotic string theories on flat supermanifolds. For these string theories, we show cancellations of the central charges and modular invariance. Bosonic string theories on supermanifolds have dimensions (D_B,D_F)=(26,0),(28,2),(30,4),..., where D_B and D_F are the numbers of bosonic coordinates and fermionic coordinates, respectively. We show that in type II string theories the one loop vacuum amplitudes vanish. From this result, we can suggest the existence of supersymmetry on supermanifolds. As examples of the heterotic string theories, we construct those whose massless spectra are related to N=1 supergravity theories and N=1 super Yang-Mills theories with orthosymplectic supergroups on the bosonic flat 10 dimensional Minkowski space. Also, we construct D-branes on supermanifolds and compute tensions of the D-branes. We show that the number of fermionic coordinates contributes to the tensions of the D-branes as an inverse power of the contribution of bosonic coordinates. Moreover, we find some configurations of two D-branes which satisfy the BPS-like no-force conditions if \nu_B - \nu_F = 0,4 and 8, where \nu_B and \nu_F are the numbers of Dirichlet-Neumann directions in the bosonic coordinates and in the fermionic coordinates, respectively.

5.696337

6.138659

6.762259

5.969341

6.369378

5.996466

6.131447

5.999722

6.02473

6.920117

5.696972

5.658667

6.007616

5.639003

5.785763

5.764001

5.731849

5.762447

5.894059

5.763957

5.737236

1111.4863

Herbert Weigel

H. Weigel, M. Quandt, N. Graham

Cosmic Strings Stabilized by Fermion Fluctuations

Based on talk by HW at QFEXT 11 (Benasque, Spain), 15p, uses ws-ijmpcs.cls (incl)

Int. J. Mod. Phys. A27 (2012) 1260016

10.1142/S0217751X12600160

null

hep-th gr-qc

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

We provide a thorough exposition of recent results on the quantum stabilization of cosmic strings. Stabilization occurs through the coupling to a heavy fermion doublet in a reduced version of the standard model. The study combines the vacuum polarization energy of fermion zero-point fluctuations and the binding energy of occupied energy levels, which are of the same order in a semi-classical expansion. Populating these bound states assigns a charge to the string. Strings carrying fermion charge become stable if the Higgs and gauge fields are coupled to a fermion that is less than twice as heavy as the top quark. The vacuum remains stable in the model, because neutral strings are not energetically favored. These findings suggest that extraordinarily large fermion masses or unrealistic couplings are not required to bind a cosmic string in the standard model.

[ { "created": "Mon, 21 Nov 2011 13:19:48 GMT", "version": "v1" } ]

2012-06-18

[ [ "Weigel", "H.", "" ], [ "Quandt", "M.", "" ], [ "Graham", "N.", "" ] ]

We provide a thorough exposition of recent results on the quantum stabilization of cosmic strings. Stabilization occurs through the coupling to a heavy fermion doublet in a reduced version of the standard model. The study combines the vacuum polarization energy of fermion zero-point fluctuations and the binding energy of occupied energy levels, which are of the same order in a semi-classical expansion. Populating these bound states assigns a charge to the string. Strings carrying fermion charge become stable if the Higgs and gauge fields are coupled to a fermion that is less than twice as heavy as the top quark. The vacuum remains stable in the model, because neutral strings are not energetically favored. These findings suggest that extraordinarily large fermion masses or unrealistic couplings are not required to bind a cosmic string in the standard model.

16.495258

8.50987

16.413467

11.643699

10.436804

8.11134

8.815537

10.842652

11.664003

16.757101

11.968819

13.903043

15.477507

14.520783

13.818659

13.157903

13.427894

14.587144

14.391722

15.120845

14.256072

1001.0631

Yun-Song Piao

Design of a Cyclic Multiverse

6 pages, 3 eps figures, v2: 1 eps figure added and some arguments added, to published in PLB

Phys.Lett.B691:225-229,2010

10.1016/j.physletb.2010.06.039

null

hep-th

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

Recently, it has been noticed that the amplification of the amplitude of curvature perturbation cycle by cycle can lead to a cyclic multiverse scenario, in which the number of universes increases cycle by cycle. However, this amplification will also inevitably induce either the ultimate end of corresponding cycle, or the resulting spectrum of perturbations inside corresponding universe is not scale invariant, which baffles the existence of observable universes. In this paper, we propose a design of a cyclic multiverse, in which the observable universe can emerges naturally. The significance of a long period of dark energy before the turnaround of each cycle for this implementing is shown.

[ { "created": "Tue, 5 Jan 2010 06:08:29 GMT", "version": "v1" }, { "created": "Fri, 2 Jul 2010 07:09:02 GMT", "version": "v2" } ]

2014-11-20

[ [ "Piao", "Yun-Song", "" ] ]

Recently, it has been noticed that the amplification of the amplitude of curvature perturbation cycle by cycle can lead to a cyclic multiverse scenario, in which the number of universes increases cycle by cycle. However, this amplification will also inevitably induce either the ultimate end of corresponding cycle, or the resulting spectrum of perturbations inside corresponding universe is not scale invariant, which baffles the existence of observable universes. In this paper, we propose a design of a cyclic multiverse, in which the observable universe can emerges naturally. The significance of a long period of dark energy before the turnaround of each cycle for this implementing is shown.

16.440796

16.380108

15.827384

14.832798

16.461895

16.490744

17.197823

14.642654

16.9063

16.448317

15.695404

15.592052

14.350407

14.489445

15.110984

15.53745

15.154336

14.215801

15.165096

15.209627

15.140805

hep-th/9901047

Kholodenko Arkady L.

Arkady L.Kholodenko

Use of Quadratic Differentials for Description of Defects and Textures in Liquid Crystals and 2+1 Gravity

45 pages, 6 figures

J.Geom.Phys.33:59-102,2000

10.1016/S0393-0440(99)00040-6

null

hep-th

null

The theory of measured foliations which is discussed in PartI(hep-th/9901040) in connection with train tracks and meanders is shown to be related to the theory of Jenkins-Strebel quadratic differentials by Hubbard and Masur (Acta Math.Vol.142,221(1979)). Use of quadratic differentials not only provides an adequate description of defects and textures in liquid crystals but also is ideally suited for study of 2+1 classical gravity which was initiated in the seminal paper by Deser, Jackiw and 't Hooft (Ann.Phys.Vol.152,220(1984)). In this paper not only their results are reproduced but, in addition, many new results are obtained. In particular, using the results of Rivin (Ann.Math.Vol.139,553(1994)) the restriction on the total mass of the 2+1 Universe is removed. It is shown that the masses can have only discrete values and, moreover, the theoretically obtained sum rules forbid the existence of some of these values. The dynamics of 2+1 gravity which is associated with the dynamics of train tracks is being reinterpreted in terms of the emerging hyperbolic 3-manifolds. The existence of knots and links associated with complements of these 3-manifolds is highly nontrivial and requires careful proofs. The paper provides a concise introduction into this topic. A brief discussion of connections with related physical problems, e.g.string theory, classical and quantum billiards, dynamics of fracture, protein folding, etc. is also provided.

[ { "created": "Tue, 12 Jan 1999 20:09:49 GMT", "version": "v1" }, { "created": "Fri, 26 Feb 1999 23:49:35 GMT", "version": "v2" } ]

2014-11-18

[ [ "Kholodenko", "Arkady L.", "" ] ]

The theory of measured foliations which is discussed in PartI(hep-th/9901040) in connection with train tracks and meanders is shown to be related to the theory of Jenkins-Strebel quadratic differentials by Hubbard and Masur (Acta Math.Vol.142,221(1979)). Use of quadratic differentials not only provides an adequate description of defects and textures in liquid crystals but also is ideally suited for study of 2+1 classical gravity which was initiated in the seminal paper by Deser, Jackiw and 't Hooft (Ann.Phys.Vol.152,220(1984)). In this paper not only their results are reproduced but, in addition, many new results are obtained. In particular, using the results of Rivin (Ann.Math.Vol.139,553(1994)) the restriction on the total mass of the 2+1 Universe is removed. It is shown that the masses can have only discrete values and, moreover, the theoretically obtained sum rules forbid the existence of some of these values. The dynamics of 2+1 gravity which is associated with the dynamics of train tracks is being reinterpreted in terms of the emerging hyperbolic 3-manifolds. The existence of knots and links associated with complements of these 3-manifolds is highly nontrivial and requires careful proofs. The paper provides a concise introduction into this topic. A brief discussion of connections with related physical problems, e.g.string theory, classical and quantum billiards, dynamics of fracture, protein folding, etc. is also provided.

10.546432

11.929154

12.369231

11.042382

11.584684

11.827654

11.583306

11.115881

11.308032

12.788835

10.469734

10.433434

10.805402

10.267683

10.411453

10.588559

10.66778

10.391698

10.282747

10.577808

10.078999

hep-th/9308086

null

H. Aratyn, L.A. Ferreira, J.F. Gomes and A.H. Zimerman

The Conserved Charges and Integrability of the Conformal Affine Toda Models

18 pages, LaTeX, (one appendix and one reference added, small changes in introduction and conclusions, eqs.(5.14) and (5.19) improved, final version to appear in Int. J. Modern Phys. A)

Mod.Phys.Lett. A9 (1994) 2783-2802

10.1142/S021773239400263X

null

hep-th nlin.SI solv-int

null

We construct infinite sets of local conserved charges for the conformal affine Toda model. The technique involves the abelianization of the two-dimensional gauge potentials satisfying the zero-curvature form of the equations of motion. We find two infinite sets of chiral charges and apart from two lowest spin charges all the remaining ones do not possess chiral densities. Charges of different chiralities Poisson commute among themselves. We discuss the algebraic properties of these charges and use the fundamental Poisson bracket relation to show that the charges conserved in time are in involution. Connections to other Toda models are established by taking particular limits.

[ { "created": "Wed, 18 Aug 1993 11:21:00 GMT", "version": "v1" }, { "created": "Thu, 26 Aug 1993 17:58:00 GMT", "version": "v2" }, { "created": "Wed, 10 Aug 1994 06:52:00 GMT", "version": "v3" } ]

2009-10-22

[ [ "Aratyn", "H.", "" ], [ "Ferreira", "L. A.", "" ], [ "Gomes", "J. F.", "" ], [ "Zimerman", "A. H.", "" ] ]

We construct infinite sets of local conserved charges for the conformal affine Toda model. The technique involves the abelianization of the two-dimensional gauge potentials satisfying the zero-curvature form of the equations of motion. We find two infinite sets of chiral charges and apart from two lowest spin charges all the remaining ones do not possess chiral densities. Charges of different chiralities Poisson commute among themselves. We discuss the algebraic properties of these charges and use the fundamental Poisson bracket relation to show that the charges conserved in time are in involution. Connections to other Toda models are established by taking particular limits.

12.789793

10.534911

13.864533

10.632932

11.528271

10.926206

11.296591

10.139476

11.446169

14.330933

11.50212

10.882759

13.018826

11.583555

11.829141

11.427433

10.830272

11.459835

11.561322

13.271236

10.937445

hep-th/0509132

Radu Roiban

A. Dymarsky, I.R. Klebanov and R. Roiban

Perturbative Gauge Theory and Closed String Tachyons

25 pages, Latex; V2: Clarifications and references added

JHEP0511:038,2005

10.1088/1126-6708/2005/11/038

null

hep-th

null

We find an interesting connection between perturbative large N gauge theory and closed superstrings. The gauge theory in question is found on N D3-branes placed at the tip of the cone R^6/Gamma. In our previous work we showed that, when the orbifold group Gamma breaks all supersymmetry, then typically the gauge theory is not conformal because of double-trace couplings whose one-loop beta functions do not possess real zeros. In this paper we observe a precise correspondence between the instabilities caused by the flow of these double-trace couplings and the presence of tachyons in the twisted sectors of type IIB theory on orbifolds R^{3,1}x R^6/Gamma. For each twisted sectors that does not contain tachyons, we show that the corresponding double-trace coupling flows to a fixed point and does not cause an instability. However, whenever a twisted sector is tachyonic, we find that the corresponding one-loop beta function does not have a real zero, hence an instability is likely to exist in the gauge theory. We demonstrate explicitly the one-to-one correspondence between the regions of stability/instability in the space of charges under Gamma that arise in the perturbative gauge theory and in the free string theory. Possible implications of this remarkably simple gauge/string correspondence are discussed.

[ { "created": "Fri, 16 Sep 2005 18:59:04 GMT", "version": "v1" }, { "created": "Mon, 24 Oct 2005 13:29:22 GMT", "version": "v2" } ]

2009-11-11

[ [ "Dymarsky", "A.", "" ], [ "Klebanov", "I. R.", "" ], [ "Roiban", "R.", "" ] ]

We find an interesting connection between perturbative large N gauge theory and closed superstrings. The gauge theory in question is found on N D3-branes placed at the tip of the cone R^6/Gamma. In our previous work we showed that, when the orbifold group Gamma breaks all supersymmetry, then typically the gauge theory is not conformal because of double-trace couplings whose one-loop beta functions do not possess real zeros. In this paper we observe a precise correspondence between the instabilities caused by the flow of these double-trace couplings and the presence of tachyons in the twisted sectors of type IIB theory on orbifolds R^{3,1}x R^6/Gamma. For each twisted sectors that does not contain tachyons, we show that the corresponding double-trace coupling flows to a fixed point and does not cause an instability. However, whenever a twisted sector is tachyonic, we find that the corresponding one-loop beta function does not have a real zero, hence an instability is likely to exist in the gauge theory. We demonstrate explicitly the one-to-one correspondence between the regions of stability/instability in the space of charges under Gamma that arise in the perturbative gauge theory and in the free string theory. Possible implications of this remarkably simple gauge/string correspondence are discussed.

7.507094

6.937139

7.90166

7.184681

7.283824

7.181052

7.619529

7.653472

7.423707

9.217679

7.144323

7.138026

7.68424

7.329843

7.304423

7.36606

7.350645

7.34078

7.270447

7.681747

7.28494

2103.13943

Fabio Novaes

F\'abio Novaes

Generalized Gibbs Ensemble of 2D CFTs with U(1) Charge from the AGT Correspondence

33+19 pages. v2: added comments and refs on ETH for general operators, minor text corrections

JHEP 05 (2021) 276

10.1007/JHEP05(2021)276

CECS-PHY-21/01

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

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

The Generalized Gibbs Ensemble (GGE) is relevant to understand the thermalization of quantum systems with an infinite set of conserved charges. In this work, we analyze the GGE partition function of 2D Conformal Field Theories (CFTs) with a U(1) charge and quantum Benjamin-Ono$_{2}$ (qBO$_{2}$) hierarchy charges. We use the Alday-Gaiotto-Tachikawa (AGT) correspondence to express the thermal trace in terms of the Alba-Fateev-Litvinov-Tarnopolskiy (AFLT) basis of descendants, which diagonalizes all charges. We analyze the GGE partition function in the thermodynamic semiclassical limit, including the first order quantum correction. We find that the equality between GGE averages and primary eigenvalues of the qBO$_{2}$ charges is attainable in the strict large $c$ limit and potentially violated at the subleading $1/c$ order. We also obtain the finite $c$ partition function when only the first non-trivial charge is turned on, expressed in terms of partial theta functions. Our results should be relevant to the eigenstate thermalization hypothesis for charged CFTs, Warped CFTs and effective field theory descriptions of condensed matter systems.

[ { "created": "Thu, 25 Mar 2021 16:03:08 GMT", "version": "v1" }, { "created": "Tue, 1 Jun 2021 17:48:58 GMT", "version": "v2" } ]

2021-06-02

[ [ "Novaes", "Fábio", "" ] ]

The Generalized Gibbs Ensemble (GGE) is relevant to understand the thermalization of quantum systems with an infinite set of conserved charges. In this work, we analyze the GGE partition function of 2D Conformal Field Theories (CFTs) with a U(1) charge and quantum Benjamin-Ono$_{2}$ (qBO$_{2}$) hierarchy charges. We use the Alday-Gaiotto-Tachikawa (AGT) correspondence to express the thermal trace in terms of the Alba-Fateev-Litvinov-Tarnopolskiy (AFLT) basis of descendants, which diagonalizes all charges. We analyze the GGE partition function in the thermodynamic semiclassical limit, including the first order quantum correction. We find that the equality between GGE averages and primary eigenvalues of the qBO$_{2}$ charges is attainable in the strict large $c$ limit and potentially violated at the subleading $1/c$ order. We also obtain the finite $c$ partition function when only the first non-trivial charge is turned on, expressed in terms of partial theta functions. Our results should be relevant to the eigenstate thermalization hypothesis for charged CFTs, Warped CFTs and effective field theory descriptions of condensed matter systems.

6.929644

7.677369

8.520578

7.254927

8.069921

7.864104

7.564824

6.985169

7.027593

9.034696

6.945986

6.626489

6.965937

6.905346

6.786971

6.673225

6.792995

7.020559

6.785046

6.937055

6.638264

1804.01535

Domenico Orlando

Simeon Hellerman and Shunsuke Maeda and Domenico Orlando and Susanne Reffert and Masataka Watanabe

Universal correlation functions in rank 1 SCFTs

49 pages, typos fixed, references added. Matches published version in JHEP

null

10.1007/JHEP12(2019)047

null

hep-th

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

Carrying to higher precision the large-$\mathcal{J}$ expansion of Hellerman and Maeda, we calculate to all orders in $1/\mathcal{J}$ the power-law corrections to the two-point functions $\mathcal{Y}_n \equiv |x - y|^{2n\Delta_{\mathcal{O}}} \langle {\mathcal{O}}_n(x) \bar{\mathcal{O}}_n(y) \rangle$ for generators $\mathcal{O}$ of Coulomb branch chiral rings in four-dimensional $\mathcal{N} =2$ superconformal field theories. We show these correlators have the universal large-$n$ expansion \[ \log(\mathcal{Y}_n) \simeq \mathcal{J} \mathbf{A} + \mathbf{B} + \log(\Gamma( \mathcal{J} + \alpha + 1)) , \] where $\mathcal{J} \equiv 2 n \Delta_{\mathcal{O}}$ is the total $R$-charge of $\mathcal{O}_n$, the $\mathbf{A}$ and $\mathbf{B}$ are theory-dependent coefficients, $\alpha$ is the coefficient of the Wess-Zumino term for the Weyl $a$-anomaly, and the $\simeq$ denotes equality up to terms exponentially small in $\mathcal{J}$. Our methods combine the structure of the Coulomb-branch effective field theory (EFT) with the supersymmetric recursion relations. However, our results constrain the power-law corrections to all orders, even for non-Lagrangian theories to which the recursion relations do not apply. For the case of $\mathcal{N} = 2$ SQCD, we also comment on the nature of the exponentially small corrections, which can be calculated to high precision in the double-scaling limit recently discussed by Bourget et al. We show the exponentially small correction is consistent with the interpretation of the EFT breaking down due to the propagation of massive BPS particles over distances of order of the infrared scale $|x - y|$.

[ { "created": "Wed, 4 Apr 2018 18:00:02 GMT", "version": "v1" }, { "created": "Tue, 3 Dec 2019 13:00:24 GMT", "version": "v2" } ]

2020-01-29

[ [ "Hellerman", "Simeon", "" ], [ "Maeda", "Shunsuke", "" ], [ "Orlando", "Domenico", "" ], [ "Reffert", "Susanne", "" ], [ "Watanabe", "Masataka", "" ] ]

Carrying to higher precision the large-$\mathcal{J}$ expansion of Hellerman and Maeda, we calculate to all orders in $1/\mathcal{J}$ the power-law corrections to the two-point functions $\mathcal{Y}_n \equiv |x - y|^{2n\Delta_{\mathcal{O}}} \langle {\mathcal{O}}_n(x) \bar{\mathcal{O}}_n(y) \rangle$ for generators $\mathcal{O}$ of Coulomb branch chiral rings in four-dimensional $\mathcal{N} =2$ superconformal field theories. We show these correlators have the universal large-$n$ expansion \[ \log(\mathcal{Y}_n) \simeq \mathcal{J} \mathbf{A} + \mathbf{B} + \log(\Gamma( \mathcal{J} + \alpha + 1)) , \] where $\mathcal{J} \equiv 2 n \Delta_{\mathcal{O}}$ is the total $R$-charge of $\mathcal{O}_n$, the $\mathbf{A}$ and $\mathbf{B}$ are theory-dependent coefficients, $\alpha$ is the coefficient of the Wess-Zumino term for the Weyl $a$-anomaly, and the $\simeq$ denotes equality up to terms exponentially small in $\mathcal{J}$. Our methods combine the structure of the Coulomb-branch effective field theory (EFT) with the supersymmetric recursion relations. However, our results constrain the power-law corrections to all orders, even for non-Lagrangian theories to which the recursion relations do not apply. For the case of $\mathcal{N} = 2$ SQCD, we also comment on the nature of the exponentially small corrections, which can be calculated to high precision in the double-scaling limit recently discussed by Bourget et al. We show the exponentially small correction is consistent with the interpretation of the EFT breaking down due to the propagation of massive BPS particles over distances of order of the infrared scale $|x - y|$.

4.604757

5.149858

5.381604

4.74313

4.878643

4.853145

5.084745

4.933271

4.834139

5.547147

4.827986

4.754035

4.829722

4.694578

4.770005

4.751538

4.75994

4.623317

4.658557

4.858656

4.677456

1810.08984

Yan-Gang Miao

Yu-Mei Wu, Yan-Gang Miao

Higher-dimensional regular Reissner-Nordstr\"{o}m black holes associated with linear electrodynamics

v1: 24 pages, 4 figures, 2 tables; v2: 25 pages, clarifications and references added; v3: clarifications added, final version to appear in Universe

Universe 8 (2022) 43

null

hep-th gr-qc

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

Following the interpretation of matter source that the energy-momentum tensor of anisotropic fluid can be dealt with effectively as the energy-momentum tensor of perfect fluid plus linear (Maxwell) electromagnetic field, we obtain the regular higher-dimensional Reissner-Nordstr\"{o}m (Tangherlini-RN) solution by starting with the noncommutative geometry inspired Schwarzschild solution. Using the boundary conditions that connect the noncommutative Schwarzschild solution in the interior of the charged perfect fluid sphere to the Tangherlini-RN solution in the exterior of the sphere, we find that the interior structure can be reflected by the exterior parameter, the charge-to-mass ratio. Moreover, we investigate the stability of the boundary under mass perturbation and indicate that the new interpretation imposes a rigid restriction upon the charge-to-mass ratio. This restriction, in turn, permits a stable noncommutative black hole only in the 4-dimensional spacetime.

[ { "created": "Sun, 21 Oct 2018 16:24:44 GMT", "version": "v1" }, { "created": "Mon, 13 Dec 2021 02:34:31 GMT", "version": "v2" }, { "created": "Wed, 12 Jan 2022 13:39:48 GMT", "version": "v3" } ]

2022-01-13

[ [ "Wu", "Yu-Mei", "" ], [ "Miao", "Yan-Gang", "" ] ]

Following the interpretation of matter source that the energy-momentum tensor of anisotropic fluid can be dealt with effectively as the energy-momentum tensor of perfect fluid plus linear (Maxwell) electromagnetic field, we obtain the regular higher-dimensional Reissner-Nordstr\"{o}m (Tangherlini-RN) solution by starting with the noncommutative geometry inspired Schwarzschild solution. Using the boundary conditions that connect the noncommutative Schwarzschild solution in the interior of the charged perfect fluid sphere to the Tangherlini-RN solution in the exterior of the sphere, we find that the interior structure can be reflected by the exterior parameter, the charge-to-mass ratio. Moreover, we investigate the stability of the boundary under mass perturbation and indicate that the new interpretation imposes a rigid restriction upon the charge-to-mass ratio. This restriction, in turn, permits a stable noncommutative black hole only in the 4-dimensional spacetime.

8.610149

8.943915

8.147985

8.116664

8.269767

8.396889

9.007664

7.69811

8.24398

8.590773

8.631452

8.37805

7.810165

7.89314

7.999419

7.88375

8.397423

8.029814

8.063212

8.220218

8.158317

hep-th/9308111

null

John M Charap

Mechanics as Geometry?

12 pages in Plain Tex, QMW 93-23

null

hep-th

null

Talk given at the Workshop on "Constraint Theory and Quantization Methods"; Montepulciano, Italy, June 1993 --- Instead of attempting to give a summary or to identify highlights of the workshop, the history of the development of analytical mechanics is outlined, with an emphasis on the themes of \lq natural motion' and the variational principle.

[ { "created": "Tue, 24 Aug 1993 16:56:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Charap", "John M", "" ] ]

Talk given at the Workshop on "Constraint Theory and Quantization Methods"; Montepulciano, Italy, June 1993 --- Instead of attempting to give a summary or to identify highlights of the workshop, the history of the development of analytical mechanics is outlined, with an emphasis on the themes of \lq natural motion' and the variational principle.

21.713434

16.425951

15.552683

13.79676

14.200087

13.865895

19.809908

15.387582

18.39893

15.823053

18.992256

15.331458

15.196198

14.842784

13.87797

14.826829

15.852021

15.157116

14.361123

16.442118

16.087313

1404.2223

Hassan Hassanabadi assoc. prof.

H. Hassanabadi, Z. Molaee, and M. Ghominejad, S. Zarrinkamar

On Remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions

null

hep-th

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

In a very recent manuscript [arXiv:1403.6035], Castro and Oliveira have commented on our recently published paper [2]. Their main criticism is that we have used an improper nonminimal interaction term. Regarding their work, we wish to mention two points. 1. We have started the paper based on the work of Kozak et al. [3] which has successfully discussed the deuteron-nucleus scattering. 2. The second point is that we have used in our calculations \b{eta}0 and not (which preserves the current conservation). Therefore, the content of our work is correct.

[ { "created": "Sat, 29 Mar 2014 20:13:50 GMT", "version": "v1" }, { "created": "Thu, 17 Apr 2014 18:39:02 GMT", "version": "v2" } ]

2014-04-18

[ [ "Hassanabadi", "H.", "" ], [ "Molaee", "Z.", "" ], [ "Ghominejad", "M.", "" ], [ "Zarrinkamar", "S.", "" ] ]

In a very recent manuscript [arXiv:1403.6035], Castro and Oliveira have commented on our recently published paper [2]. Their main criticism is that we have used an improper nonminimal interaction term. Regarding their work, we wish to mention two points. 1. We have started the paper based on the work of Kozak et al. [3] which has successfully discussed the deuteron-nucleus scattering. 2. The second point is that we have used in our calculations \b{eta}0 and not (which preserves the current conservation). Therefore, the content of our work is correct.

17.468163

17.518135

16.496792

16.062565

18.841459

18.463068

17.074188

16.625988

15.969577

16.625504

15.834349

16.868011

15.979765

16.491106

16.874535

16.095045

15.816046

15.747333

16.523279

16.153254

16.110603

0912.0231

Nelson R. F. Braga

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

Deep inelastic scattering off a plasma with flavour from D3-D7 brane model

24 pages, 9 figures, V3: We clarified the interpretation of our (unchanged) results. Typos corrected. One reference added

Phys.Rev.D81:086003,2010

10.1103/PhysRevD.81.086003

null

hep-th hep-ph

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

We investigate the propagation of a space-like flavour current in a strongly coupled N = 2 super Yang-Mills plasma using the D3-D7 brane model at finite temperature. The partonic contribution to the plasma structure functions is obtained from the imaginary part of the retarded current-current commutator. At high temperatures we find a non-vanishing result, for a high energy current, indicating absorption of the flavour current by the quark constituents of the plasma. At low temperatures there is no quark contribution to the plasma structure functions.

[ { "created": "Tue, 1 Dec 2009 18:58:55 GMT", "version": "v1" }, { "created": "Wed, 3 Feb 2010 13:53:17 GMT", "version": "v2" }, { "created": "Mon, 15 Mar 2010 22:04:03 GMT", "version": "v3" } ]

2010-04-23

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

We investigate the propagation of a space-like flavour current in a strongly coupled N = 2 super Yang-Mills plasma using the D3-D7 brane model at finite temperature. The partonic contribution to the plasma structure functions is obtained from the imaginary part of the retarded current-current commutator. At high temperatures we find a non-vanishing result, for a high energy current, indicating absorption of the flavour current by the quark constituents of the plasma. At low temperatures there is no quark contribution to the plasma structure functions.

8.881121

8.506954

8.101148

7.928192

8.562544

8.274445

7.668431

7.829932

7.812998

8.781985

7.467483

7.889635

7.862709

7.702336

7.889465

8.113651

7.905366

7.759913

7.954756

7.894395

7.793068

1306.1779

Jonathan Rosenberg

Charles Doran, Stefan Mendez-Diez, Jonathan Rosenberg

T-duality For Orientifolds and Twisted KR-theory

31 pages. Corrected and streamlined version to appear in Lett. Math. Phys

Lett. Math. Phys. 104 (2014), no. 11, 1333-1364

10.1007/s11005-014-0715-0

null

hep-th math.KT

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

D-brane charges in orientifold string theories are classified by the KR-theory of Atiyah. However, this is assuming that all O-planes have the same sign. When there are O-planes of different signs, physics demands a "KR-theory with a sign choice" which up until now has not been studied by mathematicians (with the unique exception of Moutuou, who didn't have a specific application in mind). We give a definition of this theory and compute it for orientifold theories compactified on a circle and 2-torus. We also explain how and why additional "twisting" is implemented. We show that our results satisfy all possible T-duality relationships for orientifold string theories on elliptic curves, which will be studied further in subsequent work.

[ { "created": "Fri, 7 Jun 2013 17:08:15 GMT", "version": "v1" }, { "created": "Mon, 15 Jul 2013 16:18:07 GMT", "version": "v2" }, { "created": "Mon, 7 Jul 2014 13:21:50 GMT", "version": "v3" } ]

2014-10-14

[ [ "Doran", "Charles", "" ], [ "Mendez-Diez", "Stefan", "" ], [ "Rosenberg", "Jonathan", "" ] ]

D-brane charges in orientifold string theories are classified by the KR-theory of Atiyah. However, this is assuming that all O-planes have the same sign. When there are O-planes of different signs, physics demands a "KR-theory with a sign choice" which up until now has not been studied by mathematicians (with the unique exception of Moutuou, who didn't have a specific application in mind). We give a definition of this theory and compute it for orientifold theories compactified on a circle and 2-torus. We also explain how and why additional "twisting" is implemented. We show that our results satisfy all possible T-duality relationships for orientifold string theories on elliptic curves, which will be studied further in subsequent work.

12.913375

12.00465

15.209674

11.274696

12.036623

12.111081

11.613985

12.422345

12.163652

16.269016

11.621447

11.138489

12.395358

11.407648

11.413788

11.007168

11.412697

10.995511

10.744766

11.928218

11.091886

hep-th/0610232

Tomohiro Matsuda

Generating the curvature perturbation with instant preheating

17 pages, 1 figure, To appear in JCAP

JCAP 0703:003,2007

10.1088/1475-7516/2007/03/003

null

hep-th astro-ph hep-ph

null

A new mechanism for generating the curvature perturbation at the end of inflaton has been investigated. The dominant contribution to the primordial curvature perturbation may be generated during the period of instant preheating. The mechanism converts isocurvature perturbation related to a light field into curvature perturbation, where the ``light field'' is not the inflaton field. This mechanism is important in inflationary models where kinetic energy is significant at the end of inflaton. We show how one can apply this mechanism to various brane inflationary models.

[ { "created": "Sat, 21 Oct 2006 04:55:50 GMT", "version": "v1" }, { "created": "Sat, 25 Nov 2006 05:28:00 GMT", "version": "v2" }, { "created": "Thu, 14 Dec 2006 07:34:21 GMT", "version": "v3" }, { "created": "Fri, 5 Jan 2007 05:08:49 GMT", "version": "v4" }, { "created": "Tue, 13 Feb 2007 04:16:06 GMT", "version": "v5" } ]

2010-10-27

[ [ "Matsuda", "Tomohiro", "" ] ]

A new mechanism for generating the curvature perturbation at the end of inflaton has been investigated. The dominant contribution to the primordial curvature perturbation may be generated during the period of instant preheating. The mechanism converts isocurvature perturbation related to a light field into curvature perturbation, where the ``light field'' is not the inflaton field. This mechanism is important in inflationary models where kinetic energy is significant at the end of inflaton. We show how one can apply this mechanism to various brane inflationary models.

8.561119

8.837944

7.293004

7.861091

8.0381

8.745627

7.672314

8.102229

7.835557

8.395335

7.78423

8.000765

7.9377

7.673804

7.735105

7.865497

7.925741

7.733531

7.543854

7.805028

7.578473

hep-th/0110041

B. Stefanski jr.

N. Quiroz, B. Stefanski Jr

Dirichlet Branes on Orientifolds

33 pages, LaTeX, 5 figures. v2 typos corrected, references included, (4,s)-branes re-examined

Phys.Rev. D66 (2002) 026002

10.1103/PhysRevD.66.026002

null

hep-th

null

We consider the classification of BPS and non-BPS D-branes in orientifold models. In particular we construct all stable BPS and non-BPS D-branes in the Gimon-Polchinski (GP) and Dabholkar-Park-Blum-Zaffaroni (DPBZ) orientifolds and determine their stability regions in moduli space as well as decay products. We find several kinds of integrally and torsion charged non-BPS D-branes. Certain of these are found to have projective representations of the orientifold $\times$ GSO group on the Chan-Paton factors. It is found that the GP orientifold is not described by equivariant orthogonal K-theory as may have been at first expected. Instead a twisted version of this K-theory is expected to be relevant.

[ { "created": "Thu, 4 Oct 2001 09:34:32 GMT", "version": "v1" }, { "created": "Tue, 18 Jun 2002 09:16:58 GMT", "version": "v2" } ]

2009-11-07

[ [ "Quiroz", "N.", "" ], [ "Stefanski", "B.", "Jr" ] ]

We consider the classification of BPS and non-BPS D-branes in orientifold models. In particular we construct all stable BPS and non-BPS D-branes in the Gimon-Polchinski (GP) and Dabholkar-Park-Blum-Zaffaroni (DPBZ) orientifolds and determine their stability regions in moduli space as well as decay products. We find several kinds of integrally and torsion charged non-BPS D-branes. Certain of these are found to have projective representations of the orientifold $\times$ GSO group on the Chan-Paton factors. It is found that the GP orientifold is not described by equivariant orthogonal K-theory as may have been at first expected. Instead a twisted version of this K-theory is expected to be relevant.

8.551688

8.812522

10.39056

8.164206

8.840108

9.446476

9.466589

8.36289

9.312696

12.040854

8.559937

8.88409

9.647374

8.357539

8.630934

8.605499

8.309351

8.479859

8.36993

9.202297

8.419636

hep-th/0106274

Gary Shiu

Gary Shiu and S.-H. Henry Tye

Some Aspects of Brane Inflation

15 pages, 1 figure, references added, minor typos corrected

Phys.Lett.B516:421-430,2001

10.1016/S0370-2693(01)00950-9

UPR-942-T, NSF-ITP-01-65, CLNS-01/1743

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

null

The inflaton potential in four-dimensional theory is rather arbitrary, and fine-tuning is required generically. By contrast, inflation in the brane world scenario has the interesting feature that the inflaton potential is motivated from higher dimensional gravity, or more generally, from bulk modes or string theory. We emphasize this feature with examples. We also consider the impact on the spectrum of density perturbation from a velocity-dependent potential between branes in the brane inflationary scenario. It is likely that such a potential can have an observable effect on the ratio of tensor to scalar perturbations.

[ { "created": "Thu, 28 Jun 2001 22:35:19 GMT", "version": "v1" }, { "created": "Sat, 7 Jul 2001 08:25:48 GMT", "version": "v2" } ]

2011-05-05

[ [ "Shiu", "Gary", "" ], [ "Tye", "S. -H. Henry", "" ] ]

The inflaton potential in four-dimensional theory is rather arbitrary, and fine-tuning is required generically. By contrast, inflation in the brane world scenario has the interesting feature that the inflaton potential is motivated from higher dimensional gravity, or more generally, from bulk modes or string theory. We emphasize this feature with examples. We also consider the impact on the spectrum of density perturbation from a velocity-dependent potential between branes in the brane inflationary scenario. It is likely that such a potential can have an observable effect on the ratio of tensor to scalar perturbations.

12.650921

12.21575

12.419417

11.921526

11.890417

12.331812

12.224977

11.565839

11.769243

11.788036

11.344661

11.452944

11.92453

11.615524

11.398261

11.571507

11.716396

11.83553

12.047217

11.778861

11.758426

hep-th/0010127

Feng-Li Lin

Casimir Effect of Graviton and the Entropy Bound

10 pages; v2. a typo corrected

Phys.Rev. D63 (2001) 064026

10.1103/PhysRevD.63.064026

null

hep-th gr-qc

null

In this note we calculate the Casimir effect of free thermal gravitons in Einstein universe and discuss how it changes the entropy bound condition proposed recently by Verlinde [hep-th/0008140] as a higher dimensional generalization of Cardy's formula for conformal field theories (CFT). We find that the graviton's Casimir effect is necessary in order not to violate Verlinde's bound for weakly coupled CFT. We also comment on the implication of this new Cardy's formula to the thermodynamics of black $p$-brane.

[ { "created": "Mon, 16 Oct 2000 16:04:38 GMT", "version": "v1" }, { "created": "Tue, 28 Nov 2000 16:12:59 GMT", "version": "v2" } ]

2009-10-31

[ [ "Lin", "Feng-Li", "" ] ]

In this note we calculate the Casimir effect of free thermal gravitons in Einstein universe and discuss how it changes the entropy bound condition proposed recently by Verlinde [hep-th/0008140] as a higher dimensional generalization of Cardy's formula for conformal field theories (CFT). We find that the graviton's Casimir effect is necessary in order not to violate Verlinde's bound for weakly coupled CFT. We also comment on the implication of this new Cardy's formula to the thermodynamics of black $p$-brane.

7.843815

9.760917

7.938997

7.604669

8.194682

9.569089

8.219419

7.80561

8.635562

9.516147

7.508586

7.714292

8.059983

7.52807

7.582744

7.694543

7.551639

7.63215

7.634151

8.394797

7.126896

hep-th/0006182

Rosy Teh Chooi Gim

Rosy Teh

Exact Solutions of the SU(2) Yang-Mills-Higgs Theory

11 pages, 3 figures, to be presented in the "30th International Conference on High Energy Physics, 27 July - 2 August 2000, Osaka, Japan

Int.J.Mod.Phys. A16 (2001) 3479-3486

10.1142/S0217751X01004906

null

hep-th

null

Some exact static solutions of the SU(2) Yang-Mills-Higgs theory are presented. These solutions satisfy the first order Bogomol'nyi equations, and possess infinite energies. They are axially symmetric and could possibly represent monopoles and an antimonopole sitting on the z-axis.

[ { "created": "Fri, 23 Jun 2000 01:49:24 GMT", "version": "v1" }, { "created": "Mon, 17 Jul 2000 05:53:06 GMT", "version": "v2" } ]

2009-10-31

[ [ "Teh", "Rosy", "" ] ]

Some exact static solutions of the SU(2) Yang-Mills-Higgs theory are presented. These solutions satisfy the first order Bogomol'nyi equations, and possess infinite energies. They are axially symmetric and could possibly represent monopoles and an antimonopole sitting on the z-axis.

8.81673

5.493795

8.262396

6.620578

6.406021

6.418858

6.535195

6.193385

6.686264

7.621526

6.637041

6.686891

7.227663

6.964755

6.872103

6.903554

6.639887

6.783118

7.131697

7.222504

6.753103

2210.09898

Andrzej Pokraka

Mathieu Giroux, Andrzej Pokraka

Loop-by-loop Differential Equations for Dual (Elliptic) Feynman Integrals

57+9 pages, 9 figures; JHEP version

null

10.1007/JHEP03(2023)155

null

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

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

We present a loop-by-loop method for computing the differential equations of Feynman integrals using the recently developed dual form formalism. We give explicit prescriptions for the loop-by-loop fibration of multi-loop dual forms. Then, we test our formalism on a simple, but non-trivial, example: the two-loop three-mass elliptic sunrise family of integrals. We obtain an epsilon-form differential equation within the correct function space in a sequence of relatively simple algebraic steps. In particular, none of these steps relies on the analysis of $q$-series. Then, we discuss interesting properties satisfied by our dual basis as well as its simple relation to the known epsilon-form basis of Feynman integrands. The underlying K3-geometry of the three-loop four-mass sunrise integral is also discussed. Finally, we speculate on how to construct a "good" loop-by-loop basis at three-loop.

[ { "created": "Tue, 18 Oct 2022 14:40:59 GMT", "version": "v1" }, { "created": "Wed, 22 Mar 2023 11:25:36 GMT", "version": "v2" } ]

2023-03-23

[ [ "Giroux", "Mathieu", "" ], [ "Pokraka", "Andrzej", "" ] ]

We present a loop-by-loop method for computing the differential equations of Feynman integrals using the recently developed dual form formalism. We give explicit prescriptions for the loop-by-loop fibration of multi-loop dual forms. Then, we test our formalism on a simple, but non-trivial, example: the two-loop three-mass elliptic sunrise family of integrals. We obtain an epsilon-form differential equation within the correct function space in a sequence of relatively simple algebraic steps. In particular, none of these steps relies on the analysis of $q$-series. Then, we discuss interesting properties satisfied by our dual basis as well as its simple relation to the known epsilon-form basis of Feynman integrands. The underlying K3-geometry of the three-loop four-mass sunrise integral is also discussed. Finally, we speculate on how to construct a "good" loop-by-loop basis at three-loop.

14.609784

14.296799

15.113086

13.253674

13.059407

13.51256

13.563364

13.669086

12.820479

14.736788

12.569193

12.972017

13.744882

13.39465

12.851007

13.494961

13.13

13.003626

13.205885

13.358852

12.347613

1506.00987

Marco Matone

Quantum Field Perturbation Theory Revisited

21 pages. Includes a modified Feynman propagator which is massless in D=4 and scaling relations for the generating functional. References added. PRD version

Phys. Rev. D 93, 065021 (2016)

10.1103/PhysRevD.93.065021

null

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

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

Schwinger's formalism in quantum field theory can be easily implemented in the case of scalar theories in $D$ dimension with exponential interactions, such as $\mu^D\exp(\alpha\phi)$. In particular, we use the relation $$ \exp\big(\alpha{\delta\over \delta J(x)}\big)\exp(-Z_0[J])=\exp(-Z_0[J+\alpha_x]) $$ with $J$ the external source, and $\alpha_x(y)=\alpha\delta(y-x)$. Such a shift is strictly related to the normal ordering of $\exp(\alpha\phi)$ and to a scaling relation which follows by renormalizing $\mu$. Next, we derive a new formulation of perturbation theory for the potentials $V(\phi)={\lambda\over n!}:\phi^n:$, using the generating functional associated to $:\exp(\alpha\phi):$. The $\Delta(0)$-terms related to the normal ordering are absorbed at once. The functional derivatives with respect to $J$ to compute the generating functional are replaced by ordinary derivatives with respect to auxiliary parameters. We focus on scalar theories, but the method is general and similar investigations extend to other theories.

[ { "created": "Tue, 2 Jun 2015 18:56:59 GMT", "version": "v1" }, { "created": "Thu, 11 Jun 2015 17:40:31 GMT", "version": "v2" }, { "created": "Mon, 27 Jul 2015 19:02:40 GMT", "version": "v3" }, { "created": "Mon, 23 Nov 2015 20:44:21 GMT", "version": "v4" }, { "created": "Thu, 3 Mar 2016 15:20:32 GMT", "version": "v5" } ]

2016-03-23

[ [ "Matone", "Marco", "" ] ]

Schwinger's formalism in quantum field theory can be easily implemented in the case of scalar theories in $D$ dimension with exponential interactions, such as $\mu^D\exp(\alpha\phi)$. In particular, we use the relation $$ \exp\big(\alpha{\delta\over \delta J(x)}\big)\exp(-Z_0[J])=\exp(-Z_0[J+\alpha_x]) $$ with $J$ the external source, and $\alpha_x(y)=\alpha\delta(y-x)$. Such a shift is strictly related to the normal ordering of $\exp(\alpha\phi)$ and to a scaling relation which follows by renormalizing $\mu$. Next, we derive a new formulation of perturbation theory for the potentials $V(\phi)={\lambda\over n!}:\phi^n:$, using the generating functional associated to $:\exp(\alpha\phi):$. The $\Delta(0)$-terms related to the normal ordering are absorbed at once. The functional derivatives with respect to $J$ to compute the generating functional are replaced by ordinary derivatives with respect to auxiliary parameters. We focus on scalar theories, but the method is general and similar investigations extend to other theories.

8.656608

9.310092

10.019023

9.084749

9.274637

9.913802

10.214882

9.424846

8.812476

10.45555

8.821909

8.670671

8.869779

8.752192

8.786219

8.706022

8.699105

8.581601

8.304497

9.242279

8.511996

2108.09210

Christian Northe

Konstantin Weisenberger, Suting Zhao, Christian Northe, Ren\'e Meyer

Symmetry-resolved entanglement for excited states and two entangling intervals in AdS${}_3$/CFT${}_2$

22 pages plus appendix, 2 figures

null

10.1007/JHEP12(2021)104

null

hep-th cond-mat.mes-hall cond-mat.stat-mech cond-mat.str-el gr-qc

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

We test the proposal of arXiv:2012.11274 for the holographic computation of the charged moments and the resulting symmetry-resolved entanglement entropy in different excited states, as well as for two entangling intervals. Our holographic computations are performed in $U(1)$ Chern-Simons-Einstein-Hilbert gravity, and are confirmed by independent results in a conformal field theory at large central charge. In particular, we consider two classes of excited states, corresponding to charged and uncharged conical defects in AdS${}_3$. In the conformal field theory, these states are generated by the insertion of charged and uncharged heavy operators. We employ the monodromy method to calculate the ensuing four-point function between the heavy operators and the twist fields. For the two-interval case, we derive our results on the AdS and the conformal field theory side, respectively, from the generating function method of arXiv:2012.11274, as well as the vertex operator algebra. In all cases considered, we find equipartition of entanglement between the different charge sectors. We also clarify an aspect of conformal field theories with a large central charge and $\mathfrak{u}(1)_k$ Kac-Moody symmetry used in our calculations, namely the factorization of the Hilbert space into a gravitational Virasoro sector with large central charge, and a $\mathfrak{u}(1)_k$ Kac-Moody sector.

[ { "created": "Fri, 20 Aug 2021 14:59:39 GMT", "version": "v1" }, { "created": "Fri, 27 Aug 2021 15:15:45 GMT", "version": "v2" }, { "created": "Mon, 30 Aug 2021 16:57:47 GMT", "version": "v3" }, { "created": "Tue, 11 Jan 2022 10:29:52 GMT", "version": "v4" } ]

2022-01-12

[ [ "Weisenberger", "Konstantin", "" ], [ "Zhao", "Suting", "" ], [ "Northe", "Christian", "" ], [ "Meyer", "René", "" ] ]

We test the proposal of arXiv:2012.11274 for the holographic computation of the charged moments and the resulting symmetry-resolved entanglement entropy in different excited states, as well as for two entangling intervals. Our holographic computations are performed in $U(1)$ Chern-Simons-Einstein-Hilbert gravity, and are confirmed by independent results in a conformal field theory at large central charge. In particular, we consider two classes of excited states, corresponding to charged and uncharged conical defects in AdS${}_3$. In the conformal field theory, these states are generated by the insertion of charged and uncharged heavy operators. We employ the monodromy method to calculate the ensuing four-point function between the heavy operators and the twist fields. For the two-interval case, we derive our results on the AdS and the conformal field theory side, respectively, from the generating function method of arXiv:2012.11274, as well as the vertex operator algebra. In all cases considered, we find equipartition of entanglement between the different charge sectors. We also clarify an aspect of conformal field theories with a large central charge and $\mathfrak{u}(1)_k$ Kac-Moody symmetry used in our calculations, namely the factorization of the Hilbert space into a gravitational Virasoro sector with large central charge, and a $\mathfrak{u}(1)_k$ Kac-Moody sector.

6.838808

6.171619

8.136341

6.243953

6.279648

6.350578

6.6879

6.277009

6.219462

8.22196

6.109324

6.31353

7.069406

6.414227

6.244557

6.326101

6.291752

6.294333

6.343368

6.945072

6.20054

hep-th/9908061

S. Kalyana Rama

S. Kalyana rama

A Note on Holographic Principle in models of Extended Inflation type

4 pages. Latex file

null

IMSc preprint IMSc/99/08/**

hep-th astro-ph gr-qc

null

We present a simple derivation of an upper bound on the average size of the true vacuum bubbles at the end of inflation, in models of extended inflation type. The derivation uses the inequality that the total energy inside a given volume must be less than its linear dimensions. The above bound is the same as that obtained earlier, by applying the holographic principle according to Fischler-Susskind prescription. Such a bound leads to a lower bound on the denisty fluctuations.

[ { "created": "Sun, 8 Aug 1999 20:24:43 GMT", "version": "v1" } ]

2007-05-23

[ [ "rama", "S. Kalyana", "" ] ]

We present a simple derivation of an upper bound on the average size of the true vacuum bubbles at the end of inflation, in models of extended inflation type. The derivation uses the inequality that the total energy inside a given volume must be less than its linear dimensions. The above bound is the same as that obtained earlier, by applying the holographic principle according to Fischler-Susskind prescription. Such a bound leads to a lower bound on the denisty fluctuations.

15.571817

14.203612

14.363452

14.501412

16.549953

11.749344

12.754786

13.932048

12.195017

13.349954

14.86774

13.636211

13.215214

13.754552

13.419655

13.436534

12.987236

13.355295

13.516861

12.655887

15.32692

2103.05586

Cesar Damian

Dibya Chakraborty, Cesar Damian, Alberto Gonzalez Bernal and Oscar Loaiza-Brito

Inflationary implications of the Covariant Entropy Bound and the Swampland de Sitter Conjectures

28 pages, 3 figures. Typos corrected

null

hep-th gr-qc

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

We present a proposal to relate the de Sitter Conjecture (dSC) to the Covariant Entropy Bound (CEB). By assuming an early phase of accelerated expansion where the CEB is satisfied, we take into account a contribution from extra-dimensions to the four-dimensional entropy which restricts the values of the usual slow-roll parameters. We show in this context that the dSC inequalities follow from the CEB -- including their mutual exclusion -- in both single and multi-field inflationary scenarios. We also observe that the order one constants, c and c' in the conjecture are given in terms of physical quantities such as the change in entropy over time, the Hubble constant and the dynamics of the effective scalar fields. Finally, we give a simple example to illustrate a possible contribution to the four-dimensional entropy from a flux string scenario.

[ { "created": "Tue, 9 Mar 2021 17:48:13 GMT", "version": "v1" }, { "created": "Tue, 20 Apr 2021 13:43:36 GMT", "version": "v2" }, { "created": "Wed, 21 Apr 2021 16:39:00 GMT", "version": "v3" }, { "created": "Wed, 28 Jul 2021 02:24:18 GMT", "version": "v4" } ]

2021-07-29

[ [ "Chakraborty", "Dibya", "" ], [ "Damian", "Cesar", "" ], [ "Bernal", "Alberto Gonzalez", "" ], [ "Loaiza-Brito", "Oscar", "" ] ]

We present a proposal to relate the de Sitter Conjecture (dSC) to the Covariant Entropy Bound (CEB). By assuming an early phase of accelerated expansion where the CEB is satisfied, we take into account a contribution from extra-dimensions to the four-dimensional entropy which restricts the values of the usual slow-roll parameters. We show in this context that the dSC inequalities follow from the CEB -- including their mutual exclusion -- in both single and multi-field inflationary scenarios. We also observe that the order one constants, c and c' in the conjecture are given in terms of physical quantities such as the change in entropy over time, the Hubble constant and the dynamics of the effective scalar fields. Finally, we give a simple example to illustrate a possible contribution to the four-dimensional entropy from a flux string scenario.

11.89076

11.288448

11.665813

10.51333

12.036741

11.146935

11.064683

11.324039

10.800621

12.003769

10.446759

10.750457

11.554913

10.553746

10.823574

10.748031

10.275187

10.609855

10.729033

11.356849

10.483524

hep-th/0203132

Barvinski

A.O.Barvinsky and V.F.Mukhanov

New nonlocal effective action

28 pages, latex, no figures, typos are corrected, presentation improved

Phys.Rev. D66 (2002) 065007

10.1103/PhysRevD.66.065007

null

hep-th

null

We suggest a new method for the calculation of the nonlocal part of the effective action. It is based on resummation of perturbation series for the heat kernel and its functional trace at large values of the proper time parameter. We derive a new, essentially nonperturbative, nonlocal contribution to the effective action in spacetimes with dimensions $d>2$.

[ { "created": "Thu, 14 Mar 2002 17:50:10 GMT", "version": "v1" }, { "created": "Wed, 3 Apr 2002 15:36:14 GMT", "version": "v2" } ]

2009-11-07

[ [ "Barvinsky", "A. O.", "" ], [ "Mukhanov", "V. F.", "" ] ]

We suggest a new method for the calculation of the nonlocal part of the effective action. It is based on resummation of perturbation series for the heat kernel and its functional trace at large values of the proper time parameter. We derive a new, essentially nonperturbative, nonlocal contribution to the effective action in spacetimes with dimensions $d>2$.

7.810765

6.586027

7.226804

6.263984

6.661646

6.694748

6.811479

6.706886

6.913906

7.776933

6.729638

7.002896

6.875086

6.929904

6.872299

6.849949

7.227197

7.068684

6.687346

7.18545

6.999086

0809.3237

Sebastian Franco

Sebastian Franco, Amihay Hanany, Jaemo Park and Diego Rodriguez-Gomez

Towards M2-brane Theories for Generic Toric Singularities

33 pages, 16 figures

JHEP 0812:110,2008

10.1088/1126-6708/2008/12/110

null

hep-th

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

We construct several examples of (2+1) dimensional N=2 supersymmetric Chern-Simons theories, whose moduli space is given by non-compact toric Calabi-Yau four-folds, which are not derivable from any (3+1) dimensional CFT. One such example is the gauge theory associated with the cone over Q^{111}. For several examples, we explicitly confirm the matter content, superpotential interactions and RG flows suggested by crystal models. Our results provide additional support to the idea that crystal models are relevant for describing the structure of these CFTs.

[ { "created": "Thu, 18 Sep 2008 22:10:07 GMT", "version": "v1" }, { "created": "Fri, 19 Sep 2008 20:39:09 GMT", "version": "v2" } ]

2009-01-09

[ [ "Franco", "Sebastian", "" ], [ "Hanany", "Amihay", "" ], [ "Park", "Jaemo", "" ], [ "Rodriguez-Gomez", "Diego", "" ] ]

We construct several examples of (2+1) dimensional N=2 supersymmetric Chern-Simons theories, whose moduli space is given by non-compact toric Calabi-Yau four-folds, which are not derivable from any (3+1) dimensional CFT. One such example is the gauge theory associated with the cone over Q^{111}. For several examples, we explicitly confirm the matter content, superpotential interactions and RG flows suggested by crystal models. Our results provide additional support to the idea that crystal models are relevant for describing the structure of these CFTs.

10.404929

8.69454

11.255739

8.980309

8.792884

8.675797

9.036727

8.705998

8.462626

13.036166

7.882755

9.077229

10.035825

8.951965

9.132933

9.102706

9.541926

8.997948

8.914096

10.675454

8.956266

2311.10393

Alessio Maiezza

Alessio Maiezza, Juan Carlos Vasquez

Resurgence and self-completion in renormalized gauge theories

28 pages, 1 figure, additional clarifications, more references, version to appear in IJMPA

Int.J.Mod.Phys.A 39 (2024) 05n06, 2450025

10.1142/S0217751X24500258

null

hep-th math-ph math.MP

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

Under certain assumptions and independent of the instantons, we show that the logarithm expansion of dimensional regularization in quantum field theory needs a nonperturbative completion to have a renormalization-group flow valid at all energies. Then, we show that such nonperturbative completion has the analytic properties of the renormalons, which we find with only a marginal reference to diagrammatic calculations. We demonstrate that renormalon corrections necessarily lead to analyzable functions, namely, resurgent transseries. A detailed analysis of the resurgent properties of the renormalons is provided. The self-consistency of the theory requires these nonperturbative contributions to render the running coupling well-defined at any energy, thus with no Landau pole. We illustrate the point within the case of QED. This way, we explicitly realize the correspondence between the nonperturbative Landau pole scale and the renormalons. What is seen as a Landau pole in perturbation theory is cured by the nonperturbative, resurgent contributions.

[ { "created": "Fri, 17 Nov 2023 08:46:53 GMT", "version": "v1" }, { "created": "Wed, 28 Feb 2024 13:54:41 GMT", "version": "v2" } ]

2024-05-22

[ [ "Maiezza", "Alessio", "" ], [ "Vasquez", "Juan Carlos", "" ] ]

Under certain assumptions and independent of the instantons, we show that the logarithm expansion of dimensional regularization in quantum field theory needs a nonperturbative completion to have a renormalization-group flow valid at all energies. Then, we show that such nonperturbative completion has the analytic properties of the renormalons, which we find with only a marginal reference to diagrammatic calculations. We demonstrate that renormalon corrections necessarily lead to analyzable functions, namely, resurgent transseries. A detailed analysis of the resurgent properties of the renormalons is provided. The self-consistency of the theory requires these nonperturbative contributions to render the running coupling well-defined at any energy, thus with no Landau pole. We illustrate the point within the case of QED. This way, we explicitly realize the correspondence between the nonperturbative Landau pole scale and the renormalons. What is seen as a Landau pole in perturbation theory is cured by the nonperturbative, resurgent contributions.

12.014157

12.112956

12.255435

11.359423

11.447833

11.206389

11.648768

10.730755

11.060635

12.206943

10.929625

10.885933

11.231584

11.001128

10.953995

10.855443

10.933054

10.99665

10.958652

11.34124

10.679794

1705.07812

Yuta Ito

Takehiro Azuma, Yuta Ito, Jun Nishimura and Asato Tsuchiya

A new method for probing the late-time dynamics in the Lorentzian type IIB matrix model

16 pages, 13 figures

Prog Theor Exp Phys (2017)

10.1093/ptep/ptx106

KEK-TH-1981

hep-th hep-lat

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

The type IIB matrix model has been investigated as a possible nonperturbative formulation of superstring theory. In particular, it was found by Monte Carlo simulation of the Lorentzian version that the 9-dimensional rotational symmetry of the spatial matrices is broken spontaneously to the 3-dimensional one after some "critical time". In this paper we develop a new simulation method based on the effective theory for the submatrices corresponding to the late time. Using this method, one can obtain the results for $N\times N$ matrices by simulating matrices typically of the size $O(\sqrt{N})$. We confirm the validity of this method and demonstrate its usefulness in simplified models.

[ { "created": "Mon, 22 May 2017 15:47:53 GMT", "version": "v1" } ]

2019-12-06

[ [ "Azuma", "Takehiro", "" ], [ "Ito", "Yuta", "" ], [ "Nishimura", "Jun", "" ], [ "Tsuchiya", "Asato", "" ] ]

The type IIB matrix model has been investigated as a possible nonperturbative formulation of superstring theory. In particular, it was found by Monte Carlo simulation of the Lorentzian version that the 9-dimensional rotational symmetry of the spatial matrices is broken spontaneously to the 3-dimensional one after some "critical time". In this paper we develop a new simulation method based on the effective theory for the submatrices corresponding to the late time. Using this method, one can obtain the results for $N\times N$ matrices by simulating matrices typically of the size $O(\sqrt{N})$. We confirm the validity of this method and demonstrate its usefulness in simplified models.

8.689945

7.219495

9.075219

6.816464

7.254913

7.634658

7.648684

7.223385

7.366526

10.330647

7.101007

7.384534

8.370824

7.511272

7.723377

7.625587

7.455364

7.676148

7.630418

8.204484

7.485086

hep-th/9804110

Zurab Kakushadze

A Three-Family SU(6) Type I Compactification

10 pages, revtex, minor misprints corrected, a few sentences modified (to appear in Phys. Lett. B)

Phys.Lett. B434 (1998) 269-276

10.1016/S0370-2693(98)00739-4

HUTP-98/A019, NUB 3175

hep-th hep-ph

null

We construct a four dimensional chiral N=1 space-time supersymmetric Type I vacuum corresponding to a compactification on a toroidal Z_2 X Z_2 X Z_3 orbifold. Using recent results in four dimensional orientifolds, we argue that this model has a well defined world-sheet description. An interesting feature of this model is that the gauge group contains an SU(6) subgroup with three chiral generations. Moreover, this model contains D5-branes and therefore corresponds to a non-perturbative heterotic vacuum. This is the first example of a consistent chiral N=1 supersymmetric string vacuum which is non-perturbative from the heterotic viewpoint, has a perturbative description in a dual theory, and possesses some phenomenologically interesting characteristics. We also compute the tree-level superpotential in this theory

[ { "created": "Thu, 16 Apr 1998 18:55:45 GMT", "version": "v1" }, { "created": "Tue, 28 Apr 1998 18:24:09 GMT", "version": "v2" }, { "created": "Wed, 3 Jun 1998 20:32:13 GMT", "version": "v3" }, { "created": "Fri, 5 Jun 1998 23:49:15 GMT", "version": "v4" }, { "created": "Sat, 6 Jun 1998 07:22:59 GMT", "version": "v5" } ]

2009-10-31

[ [ "Kakushadze", "Zurab", "" ] ]

We construct a four dimensional chiral N=1 space-time supersymmetric Type I vacuum corresponding to a compactification on a toroidal Z_2 X Z_2 X Z_3 orbifold. Using recent results in four dimensional orientifolds, we argue that this model has a well defined world-sheet description. An interesting feature of this model is that the gauge group contains an SU(6) subgroup with three chiral generations. Moreover, this model contains D5-branes and therefore corresponds to a non-perturbative heterotic vacuum. This is the first example of a consistent chiral N=1 supersymmetric string vacuum which is non-perturbative from the heterotic viewpoint, has a perturbative description in a dual theory, and possesses some phenomenologically interesting characteristics. We also compute the tree-level superpotential in this theory

6.658307

5.529821

7.460389

6.086326

5.612657

5.843447

5.524098

5.629698

5.855778

8.012075

5.94516

6.174328

7.054064

6.384904

6.291921

6.290498

6.387595

6.14663

6.29707

7.121834

6.281158

hep-th/9905082

Pradip Mukherjee

R. Banerjee and P. Mukherjee

Some Comments on the Spin of the Chern - Simons Vortices

12 pages, Latex

Prog.Theor.Phys. 101 (1999) 1189-1197

10.1143/PTP.101.1189

null

hep-th

null

We compute the spin of both the topological and nontopological solitons of the Chern - Simons - Higgs model by using our approach based on constrained analysis. We also propose an extension of our method to the non - relativistic Chern - Simons models. The spin formula for both the relativistic and nonrelativistic theories turn out to be structurally identical. This form invariance manifests the topological origin of the Chern - Simons term responsible for inducing fractional spin. Also, some comparisons with the existing results are done.

[ { "created": "Wed, 12 May 1999 09:40:30 GMT", "version": "v1" } ]

2009-10-31

[ [ "Banerjee", "R.", "" ], [ "Mukherjee", "P.", "" ] ]

We compute the spin of both the topological and nontopological solitons of the Chern - Simons - Higgs model by using our approach based on constrained analysis. We also propose an extension of our method to the non - relativistic Chern - Simons models. The spin formula for both the relativistic and nonrelativistic theories turn out to be structurally identical. This form invariance manifests the topological origin of the Chern - Simons term responsible for inducing fractional spin. Also, some comparisons with the existing results are done.

11.413465

10.648975

11.180815

10.083693

10.496604

10.066623

10.438914

9.912857

10.128181

12.567036

10.415108

10.431252

11.303166

10.703481

10.405542

10.64049

10.775567

10.839916

10.80041

11.135889

10.402458

2407.10008

Fabiano F. Santos

Fabiano F. Santos and Henrique Boschi-Filho

Geometric Josephson junction

16 pages, 6 figures

null

hep-th gr-qc

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

In this work, we present a gravitational dual of a Josephson junction constructed from the AdS/BCFT correspondence. On the gravity side, we consider a planar AdS-Schwarzschild black hole. Our junction is connected by the boundary $Q$ with tension $\Sigma$ of the boundary CFT. Our computations on the gravity side reproduce the standard relation between the current across the junction and the phase difference of the condensate controlled by the tension $\Sigma$. We also study the maximum current's dependence on the junction's tension and size and reproduce familiar results.

[ { "created": "Sat, 13 Jul 2024 21:23:50 GMT", "version": "v1" } ]

2024-07-16

[ [ "Santos", "Fabiano F.", "" ], [ "Boschi-Filho", "Henrique", "" ] ]

In this work, we present a gravitational dual of a Josephson junction constructed from the AdS/BCFT correspondence. On the gravity side, we consider a planar AdS-Schwarzschild black hole. Our junction is connected by the boundary $Q$ with tension $\Sigma$ of the boundary CFT. Our computations on the gravity side reproduce the standard relation between the current across the junction and the phase difference of the condensate controlled by the tension $\Sigma$. We also study the maximum current's dependence on the junction's tension and size and reproduce familiar results.

10.162901

8.237532

10.881942

8.663945

9.641602

8.669877

8.181896

8.824387

9.021701

10.747133

8.764599

8.992901

9.478111

9.218719

9.661394

8.888145

9.491315

8.849408

9.488352

9.803717

9.253229

2106.05301

Raj Patil

Mahesh KN Balasubramanian, Raj Patil, Arnab Rudra

Spinning amplitudes from scalar amplitudes

Textual improvements, updated bibliography. Version to appear in JHEP

null

10.1007/JHEP11(2021)151

null

hep-th

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

We provide a systematic method to compute tree-level scattering amplitudes with spinning external states from amplitudes with scalar external states in arbitrary spacetime dimensions. We write down analytic answers for various scattering amplitudes, including the four graviton amplitude due to the massive spin $J$ exchange. We verify the results by computing angular distributions in 3 + 1 dimensions using various identities involving Jacobi polynomials.

[ { "created": "Wed, 9 Jun 2021 18:00:13 GMT", "version": "v1" }, { "created": "Thu, 18 Nov 2021 12:49:40 GMT", "version": "v2" } ]

2021-11-23

[ [ "Balasubramanian", "Mahesh KN", "" ], [ "Patil", "Raj", "" ], [ "Rudra", "Arnab", "" ] ]

We provide a systematic method to compute tree-level scattering amplitudes with spinning external states from amplitudes with scalar external states in arbitrary spacetime dimensions. We write down analytic answers for various scattering amplitudes, including the four graviton amplitude due to the massive spin $J$ exchange. We verify the results by computing angular distributions in 3 + 1 dimensions using various identities involving Jacobi polynomials.

13.118066

11.286522

11.810051

10.454353

10.624908

11.138486

11.017319

11.470331

11.065134

13.526961

11.34881

11.500258

11.157402

10.579488

11.245311

11.127502

10.507528

11.835677

10.993932

11.984735

11.151225

1009.2763

Silviu Pufu

Silviu S. Pufu, Igor R. Klebanov, Thomas Klose, and Jennifer Lin

Green's Functions and Non-Singlet Glueballs on Deformed Conifolds

52 pages, 3 figures

J.Phys.A44:055404,2011

10.1088/1751-8113/44/5/055404

PUPT-2349, UUITP-30/10

hep-th

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

We study the Laplacian on Stenzel spaces (generalized deformed conifolds), which are tangent bundles of spheres endowed with Ricci flat metrics. The (2d-2)-dimensional Stenzel space has SO(d) symmetry and can be embedded in C^d through the equation \sum_{i = 1}^d {z_i^2} = \epsilon^2. We discuss the Green's function with a source at a point on the S^{d-1} zero section of TS^{d-1}. Its calculation is complicated by mixing between different harmonics with the same SO(d) quantum numbers due to the explicit breaking by the \epsilon-deformation of the U(1) symmetry that rotates z_i by a phase. A similar mixing affects the spectrum of normal modes of warped deformed conifolds that appear in gauge/gravity duality. We solve the mixing problem numerically to determine certain bound state spectra in various representations of SO(d) for the d=4 and d=5 examples.

[ { "created": "Tue, 14 Sep 2010 20:13:33 GMT", "version": "v1" } ]

2011-01-17

[ [ "Pufu", "Silviu S.", "" ], [ "Klebanov", "Igor R.", "" ], [ "Klose", "Thomas", "" ], [ "Lin", "Jennifer", "" ] ]

We study the Laplacian on Stenzel spaces (generalized deformed conifolds), which are tangent bundles of spheres endowed with Ricci flat metrics. The (2d-2)-dimensional Stenzel space has SO(d) symmetry and can be embedded in C^d through the equation \sum_{i = 1}^d {z_i^2} = \epsilon^2. We discuss the Green's function with a source at a point on the S^{d-1} zero section of TS^{d-1}. Its calculation is complicated by mixing between different harmonics with the same SO(d) quantum numbers due to the explicit breaking by the \epsilon-deformation of the U(1) symmetry that rotates z_i by a phase. A similar mixing affects the spectrum of normal modes of warped deformed conifolds that appear in gauge/gravity duality. We solve the mixing problem numerically to determine certain bound state spectra in various representations of SO(d) for the d=4 and d=5 examples.

9.20592

10.188955

10.704313

8.941903

9.978509

9.990113

9.690784

9.222007

9.997652

10.766371

9.076327

8.97917

9.633089

9.172872

9.121408

9.329442

9.123712

8.83349

9.167658

9.982698

8.65703

hep-th/0511072

Kentaroh Yoshida

Hyeonjoon Shin, Kentaroh Yoshida

Point-Like Graviton Scattering in Plane-Wave Matrix Model

17 pages, 1 figure, LaTeX, v2) references added

JHEP0604:051,2006

10.1088/1126-6708/2006/04/051

KEK-TH-1049

hep-th

null

In a plane-wave matrix model we discuss a two-body scattering of gravitons in the SO(3) symmetric space. In this case the graviton solutions are point-like in contrast to the scattering in the SO(6) symmetric space where spherical membranes are interpreted as gravitons. We concentrate on a configuration in the 1-2 plane where a graviton rotates with a constant radius and the other one elliptically rotates. Then the one-loop effective action is computed by using the background field method. As the result, we obtain the 1/r^7-type interaction potential, which strongly suggests that the scattering in the matrix model would be closely related to that in the light-front eleven-dimensional supergravity.

[ { "created": "Mon, 7 Nov 2005 05:18:22 GMT", "version": "v1" }, { "created": "Wed, 16 Nov 2005 10:52:27 GMT", "version": "v2" } ]

2009-11-11

[ [ "Shin", "Hyeonjoon", "" ], [ "Yoshida", "Kentaroh", "" ] ]

In a plane-wave matrix model we discuss a two-body scattering of gravitons in the SO(3) symmetric space. In this case the graviton solutions are point-like in contrast to the scattering in the SO(6) symmetric space where spherical membranes are interpreted as gravitons. We concentrate on a configuration in the 1-2 plane where a graviton rotates with a constant radius and the other one elliptically rotates. Then the one-loop effective action is computed by using the background field method. As the result, we obtain the 1/r^7-type interaction potential, which strongly suggests that the scattering in the matrix model would be closely related to that in the light-front eleven-dimensional supergravity.

12.329924

10.190583

12.407588

10.309893

10.560686

11.023033

10.415806

10.652749

9.769399

13.326921

10.02387

10.465141

11.320454

10.954758

10.98182

11.020348

10.522433

10.972927

10.609916

11.757103

10.937144

2112.03091

Leonid Bork Dr

L.V. Bork, D.I. Kazakov

UV Divergences, RG Equations and High Energy Behaviour of the Amplitudes in the Wess-Zumino Model with Quartic Interaction

28 pages, 6 figures v2: minor changes, typos corrected

null

10.1007/JHEP06(2022)141

null

hep-th

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

We analyse the UV divergences for the scattering amplitude in the Wess-Zumino SUSY model with the quartic superpotential. Within the superfield formalism, we calculate the corresponding Feynman diagrams and evaluate their leading divergences up to 4 loop order of PT. Then we construct recurrence relations that connect the leading UV divergences in subsequent orders of perturbation theory. These recurrence relations allow us to calculate the leading divergences in a pure algebraic way starting from the one loop contribution. We check that the obtained relations correctly reproduce the lower order diagrams evaluated explicitly. At last, we convert the recurrence relations into the RG equations that have integro-differential form. Solving these equations for a particular sequence of diagrams, we find out the high energy behaviour of the amplitude. We then argue that the full amplitude has a similar behaviour with the key feature of the existence of a pole in the s-channel corresponding to a state with a mass ~1/g, where g is the original dimensionfull coupling of the theory. We find out the this state is actually a ghost one similar to the Landau pole in scalar theory.

[ { "created": "Mon, 6 Dec 2021 14:58:01 GMT", "version": "v1" }, { "created": "Tue, 19 Apr 2022 12:18:56 GMT", "version": "v2" } ]

2022-07-13

[ [ "Bork", "L. V.", "" ], [ "Kazakov", "D. I.", "" ] ]

We analyse the UV divergences for the scattering amplitude in the Wess-Zumino SUSY model with the quartic superpotential. Within the superfield formalism, we calculate the corresponding Feynman diagrams and evaluate their leading divergences up to 4 loop order of PT. Then we construct recurrence relations that connect the leading UV divergences in subsequent orders of perturbation theory. These recurrence relations allow us to calculate the leading divergences in a pure algebraic way starting from the one loop contribution. We check that the obtained relations correctly reproduce the lower order diagrams evaluated explicitly. At last, we convert the recurrence relations into the RG equations that have integro-differential form. Solving these equations for a particular sequence of diagrams, we find out the high energy behaviour of the amplitude. We then argue that the full amplitude has a similar behaviour with the key feature of the existence of a pole in the s-channel corresponding to a state with a mass ~1/g, where g is the original dimensionfull coupling of the theory. We find out the this state is actually a ghost one similar to the Landau pole in scalar theory.

10.167435

10.049775

9.748128

9.152486

9.585543

9.873513

10.124071

9.204783

9.357888

10.258195

9.589788

9.689789

9.941312

9.604025

9.761343

9.388238

9.904852

9.300931

9.745639

10.360559

9.677229

2211.13967

Rourou Ma

Johannes Henn, Rourou Ma, Kai Yan, Yang Zhang

Four-dimensional differential equations for the leading divergences of dimensionally-regulated loop integrals

third version with minor changes and two additional supplemental directories

null

10.1007/JHEP03(2023)162

MPP-2022-137, USTC-ICTS/PCFT-22-31

hep-th hep-ph

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

We invent an automated method for computing the divergent part of Feynman integrals in dimensional regularization. Our method exploits simplifications from four-dimensional integration-by-parts identities. Leveraging algorithms from the literature, we show how to find simple differential equations for the divergent part of Feynman integrals. We illustrate the method by an application to heavy quark effective theory at three loops.

[ { "created": "Fri, 25 Nov 2022 09:18:21 GMT", "version": "v1" }, { "created": "Tue, 6 Dec 2022 02:42:55 GMT", "version": "v2" }, { "created": "Mon, 18 Sep 2023 03:56:12 GMT", "version": "v3" } ]

2023-09-19

[ [ "Henn", "Johannes", "" ], [ "Ma", "Rourou", "" ], [ "Yan", "Kai", "" ], [ "Zhang", "Yang", "" ] ]

We invent an automated method for computing the divergent part of Feynman integrals in dimensional regularization. Our method exploits simplifications from four-dimensional integration-by-parts identities. Leveraging algorithms from the literature, we show how to find simple differential equations for the divergent part of Feynman integrals. We illustrate the method by an application to heavy quark effective theory at three loops.

9.856255

8.973736

8.718879

8.675889

8.966326

11.636477

9.545642

8.781573

8.978705

10.557088

8.813182

9.913545

9.012222

9.093057

9.26554

9.244593

9.190928

9.173023

9.117705

8.932425

9.228706

2407.21711

A. Yu. Petrov

I. Andrade, R. Menezes, A. Yu. Petrov, P. Porf\'irio

Kink solutions in nonlocal scalar field theory models

22 pages, minor corrections, references added

null

hep-th

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

In this paper, we study in detail various solutions, especially kink ones, in different nonlocal scalar field theories, whose kinetic term is described by an arbitrary non-polynomial analytic function of the d'Alembertian operator, and the potential is chosen either to be quadratic or to allow for the kink-like solution. Using the perturbative method, we find corrections of first and second orders in the nonlocality parameter around local solutions for several form factors and generate analytic expressions for the energy density up to the first order in this parameter. Additionally, we also address an inverse problem, that is, we reconstruct the potential corresponding to the given solution obtaining restrictions for the form factor.

[ { "created": "Wed, 31 Jul 2024 16:02:28 GMT", "version": "v1" }, { "created": "Mon, 5 Aug 2024 15:51:22 GMT", "version": "v2" } ]

2024-08-06

[ [ "Andrade", "I.", "" ], [ "Menezes", "R.", "" ], [ "Petrov", "A. Yu.", "" ], [ "Porfírio", "P.", "" ] ]

In this paper, we study in detail various solutions, especially kink ones, in different nonlocal scalar field theories, whose kinetic term is described by an arbitrary non-polynomial analytic function of the d'Alembertian operator, and the potential is chosen either to be quadratic or to allow for the kink-like solution. Using the perturbative method, we find corrections of first and second orders in the nonlocality parameter around local solutions for several form factors and generate analytic expressions for the energy density up to the first order in this parameter. Additionally, we also address an inverse problem, that is, we reconstruct the potential corresponding to the given solution obtaining restrictions for the form factor.

11.459561

12.012289

11.502403

10.723926

10.589842

11.153229

11.117945

11.008467

10.807767

12.311879

10.674377

10.211168

11.31072

10.504688

10.99228

10.692987

10.844672

10.605571

11.050805

11.075238

10.886644

0710.1998

Aurelien Barrau

Aurelien Barrau, Julien Grain, Carole Weydert

Entropy radiated by a braneworld black hole

6 pages, 3 figures

Phys.Rev.D76:087503,2007

10.1103/PhysRevD.76.087503

null

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

null

The concept of black hole entropy is one of the most important enigmas of theoretical physics. It relates thermodynamics to gravity and allows substantial hints toward a quantum theory of gravitation. Although Bekenstein conjecture -assuming the black hole entropy to be a measure of the number of precollapse configurations- has proved to be extremely fruitful, a direct and conclusive proof is still missing. This article computes accurately the entropy evaporated by black holes in (4+n) dimensions taking into account the exact greybody factors. This is a key process to constrain and understand the entropy of black holes as the final state is unambiguously defined. Those results allow to generalize Zurek's important argument, in favor of the Bekenstein conjecture, to multi-dimensional scenarios.

[ { "created": "Wed, 10 Oct 2007 12:50:57 GMT", "version": "v1" } ]

2008-11-26

[ [ "Barrau", "Aurelien", "" ], [ "Grain", "Julien", "" ], [ "Weydert", "Carole", "" ] ]

The concept of black hole entropy is one of the most important enigmas of theoretical physics. It relates thermodynamics to gravity and allows substantial hints toward a quantum theory of gravitation. Although Bekenstein conjecture -assuming the black hole entropy to be a measure of the number of precollapse configurations- has proved to be extremely fruitful, a direct and conclusive proof is still missing. This article computes accurately the entropy evaporated by black holes in (4+n) dimensions taking into account the exact greybody factors. This is a key process to constrain and understand the entropy of black holes as the final state is unambiguously defined. Those results allow to generalize Zurek's important argument, in favor of the Bekenstein conjecture, to multi-dimensional scenarios.

14.00911

14.473987

14.048792

13.487437

14.931087

14.29233

14.804543

14.074385

13.134397

15.235439

13.052385

13.415987

13.322073

13.408175

13.452176

13.597674

13.470925

13.177719

13.368392

13.846114

13.805993

1208.1160

Xin Gao

Ralph Blumenhagen, Xin Gao, Thorsten Rahn, Pramod Shukla

Moduli Stabilization and Inflationary Cosmology with Poly-Instantons in Type IIB Orientifolds

38 pages, 7 figures, Reference added, Typo fixed, Published version

Journal of High Energy Physics, Volume 2012, Number 11, 101

10.1007/JHEP11(2012)101

MPP-2012-123

hep-th gr-qc

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

Equipped with concrete examples of Type IIB orientifolds featuring poly-instanton corrections to the superpotential, the effects on moduli stabilization and inflationary cosmology are analyzed. Working in the framework of the LARGE volume scenario, the Kaehler modulus related to the size of the four-cycle supporting the poly-instanton contributes sub-dominantly to the scalar potential. It is shown that this Kaehler modulus gets stabilized and, by displacing it from its minimum, can play the role of an inflaton. Subsequent cosmological implications are discussed and compared to experimental data.

[ { "created": "Mon, 6 Aug 2012 13:30:51 GMT", "version": "v1" }, { "created": "Tue, 4 Sep 2012 13:26:42 GMT", "version": "v2" }, { "created": "Fri, 1 Feb 2013 14:10:08 GMT", "version": "v3" } ]

2013-02-04

[ [ "Blumenhagen", "Ralph", "" ], [ "Gao", "Xin", "" ], [ "Rahn", "Thorsten", "" ], [ "Shukla", "Pramod", "" ] ]

Equipped with concrete examples of Type IIB orientifolds featuring poly-instanton corrections to the superpotential, the effects on moduli stabilization and inflationary cosmology are analyzed. Working in the framework of the LARGE volume scenario, the Kaehler modulus related to the size of the four-cycle supporting the poly-instanton contributes sub-dominantly to the scalar potential. It is shown that this Kaehler modulus gets stabilized and, by displacing it from its minimum, can play the role of an inflaton. Subsequent cosmological implications are discussed and compared to experimental data.

9.013133

8.059393

8.684123

8.129559

7.562764

7.756632

8.282495

8.354953

8.138276

10.08205

7.770881

7.630775

7.948887

7.912702

8.083964

7.969771

8.239485

7.874299

7.995899

8.403829

7.820085

1604.00965

Allic Sivaramakrishnan

Localized Excitations from Localized Unitary Operators

41 pages, no figures; v2: minor corrections, added references, acknowledgements; v3: reviewers comments incorporated

Annals Phys. 381 (2017) 41-67

10.1016/j.aop.2017.03.012

null

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

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

Localized unitary operators are basic probes of locality and causality in quantum systems: localized unitary operators create localized excitations in entangled states. Working with an explicit form, we explore the properties of these operators in quantum mechanics and quantum field theory. We show that, unlike unitary operators, local non-unitary operators generically create non-local excitations. We present a local picture for quantum systems in which localized experimentalists can only act through localized Hamiltonian deformations, and therefore localized unitary operators. We demonstrate that localized unitary operators model certain quantum quenches exactly. We show how the Reeh-Schlieder theorem follows intuitively from basic properties of entanglement, non-unitary operators, and the local picture. We show that a recent quasi-particle picture for excited-state entanglement entropy in conformal field theories is not universal for all local operators. We prove a causality relation for entanglement entropy and connect our results to the AdS/CFT correspondence.

[ { "created": "Mon, 4 Apr 2016 18:05:07 GMT", "version": "v1" }, { "created": "Sun, 5 Jun 2016 19:30:07 GMT", "version": "v2" }, { "created": "Sun, 25 Jun 2017 18:26:11 GMT", "version": "v3" } ]

2017-06-27

[ [ "Sivaramakrishnan", "Allic", "" ] ]

Localized unitary operators are basic probes of locality and causality in quantum systems: localized unitary operators create localized excitations in entangled states. Working with an explicit form, we explore the properties of these operators in quantum mechanics and quantum field theory. We show that, unlike unitary operators, local non-unitary operators generically create non-local excitations. We present a local picture for quantum systems in which localized experimentalists can only act through localized Hamiltonian deformations, and therefore localized unitary operators. We demonstrate that localized unitary operators model certain quantum quenches exactly. We show how the Reeh-Schlieder theorem follows intuitively from basic properties of entanglement, non-unitary operators, and the local picture. We show that a recent quasi-particle picture for excited-state entanglement entropy in conformal field theories is not universal for all local operators. We prove a causality relation for entanglement entropy and connect our results to the AdS/CFT correspondence.

10.696767

11.532372

11.798065

10.951148

11.710043

11.658173

10.983203

10.703973

11.148952

13.122936

10.610697

10.81544

10.685148

10.568841

10.59768

10.720099

10.847198

10.669165

10.499919

11.131916

10.584441

1412.1026

Vit Jakubsky

Spectrally isomorphic Dirac systems: graphene in electromagnetic field

null

Phys. Rev. D 91, 045039 (2015)

10.1103/PhysRevD.91.045039

null

hep-th cond-mat.mes-hall

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

We construct the new one-dimensional Dirac Hamiltonians that are spectrally isomorphic (not isospectral) with the known exactly solvable models. Explicit formulas for their spectra and eigenstates are provided. The operators are utilized for description of Dirac fermions in graphene in presence of an inhomogeneous electromagnetic field. We discuss explicit, physically relevant, examples of spectrally isomorphic systems with both non-periodic and periodic electromagnetic barriers. In the latter case, spectrally isomorphic two- and three-gap systems associated with the Ablowitz-Kaup-Newell-Segur hierarchy are considered.

[ { "created": "Tue, 2 Dec 2014 19:17:18 GMT", "version": "v1" } ]

2015-03-05

[ [ "Jakubsky", "Vit", "" ] ]

We construct the new one-dimensional Dirac Hamiltonians that are spectrally isomorphic (not isospectral) with the known exactly solvable models. Explicit formulas for their spectra and eigenstates are provided. The operators are utilized for description of Dirac fermions in graphene in presence of an inhomogeneous electromagnetic field. We discuss explicit, physically relevant, examples of spectrally isomorphic systems with both non-periodic and periodic electromagnetic barriers. In the latter case, spectrally isomorphic two- and three-gap systems associated with the Ablowitz-Kaup-Newell-Segur hierarchy are considered.

9.542327

10.065711

10.913972

8.959991

8.895083

9.443289

9.707599

9.71753

9.318675

10.058821

8.6079

8.782831

9.473606

9.246586

8.847478

8.982924

8.486065

8.487005

8.5655

10.1152

8.774683

2205.00557

Michael Lashkevich

The free field representation for the $GL(1|1)$ WZW model revisited

31 pages; v2: a few typos corrected; v3: minor changes, typos corrected

null

10.1088/1402-4896/aca5c4

null

hep-th math-ph math.MP

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

The $GL(1|1)$ WZW model in the free field realization that uses the $bc$ system is revisited. By bosonizing the $bc$ system we describe the Neveu--Schwarz and Ramond sector modules $\mathcal V^{\text{NS}}_{en}=\bigoplus_{l\in\mathbb Z}\mathcal V^l_{en}$ and $\mathcal V^{\text{R}}_{en}=\bigoplus_{l\in\mathbb Z+{1\over2}}\mathcal V^l_{en}$ in terms of the subspaces of a given fermion number $l$. We show that there are two sectors of mutually local operators, each consists of all Neveu--Schwarz operators and of Ramond operators with either integer or half-integer spins. Conformal blocks and structure constants are found for operators that correspond the highest weight vectors of the spaces $\mathcal V^l_{en}$. The crossing and braiding matrices are considered and the hexagon and pentagon equations are shown to be satisfied for typical modules. The degenerate case of conformal blocks with atypical (logarithmic) modules as intermediate states is considered. The known conformal block decomposition of correlation functions in the degenerate case is shown to be related to the degeneration splitting in the crossing and braiding relations. The scalar product in atypical modules is discussed. The decomposition of unity in the full correlation functions in the degenerate case in terms of this scalar product is explained.

[ { "created": "Sun, 1 May 2022 20:47:42 GMT", "version": "v1" }, { "created": "Wed, 29 Jun 2022 10:38:01 GMT", "version": "v2" }, { "created": "Fri, 11 Nov 2022 10:35:26 GMT", "version": "v3" } ]

2023-01-04

[ [ "Lashkevich", "Michael", "" ] ]

The $GL(1|1)$ WZW model in the free field realization that uses the $bc$ system is revisited. By bosonizing the $bc$ system we describe the Neveu--Schwarz and Ramond sector modules $\mathcal V^{\text{NS}}_{en}=\bigoplus_{l\in\mathbb Z}\mathcal V^l_{en}$ and $\mathcal V^{\text{R}}_{en}=\bigoplus_{l\in\mathbb Z+{1\over2}}\mathcal V^l_{en}$ in terms of the subspaces of a given fermion number $l$. We show that there are two sectors of mutually local operators, each consists of all Neveu--Schwarz operators and of Ramond operators with either integer or half-integer spins. Conformal blocks and structure constants are found for operators that correspond the highest weight vectors of the spaces $\mathcal V^l_{en}$. The crossing and braiding matrices are considered and the hexagon and pentagon equations are shown to be satisfied for typical modules. The degenerate case of conformal blocks with atypical (logarithmic) modules as intermediate states is considered. The known conformal block decomposition of correlation functions in the degenerate case is shown to be related to the degeneration splitting in the crossing and braiding relations. The scalar product in atypical modules is discussed. The decomposition of unity in the full correlation functions in the degenerate case in terms of this scalar product is explained.

6.597252

7.596181

7.80688

6.978797

7.907382

7.265085

7.356544

7.23566

7.245425

8.175628

6.970273

6.775047

7.341241

6.979927

7.092463

7.007187

7.075047

7.049704

6.887098

7.310747

6.771612

1611.03142

Clay C\'ordova

Clay Cordova, Ben Heidenreich, Alexandr Popolitov, Shamil Shakirov

Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models

52 pages, 7 figures

Commun. Math. Phys. 361, 1235-1274 (2018)

10.1007/s00220-017-3072-x

null

hep-th math-ph math.CO math.MP

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

We find an exact solution to strongly-coupled matrix models with a single-trace monomial potential. Our solution yields closed form expressions for the partition function as well as averages of Schur functions. The results are fully factorized into a product of terms linear in the rank of the matrix and the parameters of the model. We extend our formulas to include both logarthmic and finite-difference deformations, thereby generalizing the celebrated Selberg and Kadell integrals. We conjecture a formula for correlators of two Schur functions in these models, and explain how our results follow from a general orbifold-like procedure that can be applied to any one-matrix model with a single-trace potential.

[ { "created": "Thu, 10 Nov 2016 00:44:06 GMT", "version": "v1" } ]

2020-11-17

[ [ "Cordova", "Clay", "" ], [ "Heidenreich", "Ben", "" ], [ "Popolitov", "Alexandr", "" ], [ "Shakirov", "Shamil", "" ] ]

We find an exact solution to strongly-coupled matrix models with a single-trace monomial potential. Our solution yields closed form expressions for the partition function as well as averages of Schur functions. The results are fully factorized into a product of terms linear in the rank of the matrix and the parameters of the model. We extend our formulas to include both logarthmic and finite-difference deformations, thereby generalizing the celebrated Selberg and Kadell integrals. We conjecture a formula for correlators of two Schur functions in these models, and explain how our results follow from a general orbifold-like procedure that can be applied to any one-matrix model with a single-trace potential.

8.375155

8.482347

10.551014

9.376995

8.598326

8.871902

8.135275

9.292299

8.885867

11.117664

8.76955

8.4242

8.818625

8.707044

8.80624

8.607021

8.52745

8.856787

8.602373

9.5084

8.696648

2308.01331

Muldrow Etheredge

Dense Geodesics, Tower Alignment, and the Sharpened Distance Conjecture

41 pages, 11 figures

null

ACFI-T23-04

hep-th

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

The Sharpened Distance Conjecture and Tower Scalar Weak Gravity Conjecture are closely related but distinct conjectures, neither one implying the other. Motivated by examples, I propose that both are consequences of two new conjectures: 1. The infinite distance geodesics passing through an arbitrary point $\phi$ in the moduli space populate a dense set of directions in the tangent space at $\phi$. 2. Along any infinite distance geodesic, there exists a tower of particles whose scalar-charge-to-mass ratio ($-\nabla \log m$) projection everywhere along the geodesic is greater than or equal to $1/\sqrt{d-2}$. I perform several nontrivial tests of these new conjectures in maximal and half-maximal supergravity examples. I also use the Tower Scalar Weak Gravity Conjecture to conjecture a sharp bound on exponentially heavy towers that accompany infinite distance limits.

[ { "created": "Wed, 2 Aug 2023 18:00:00 GMT", "version": "v1" } ]

2023-08-04

[ [ "Etheredge", "Muldrow", "" ] ]

The Sharpened Distance Conjecture and Tower Scalar Weak Gravity Conjecture are closely related but distinct conjectures, neither one implying the other. Motivated by examples, I propose that both are consequences of two new conjectures: 1. The infinite distance geodesics passing through an arbitrary point $\phi$ in the moduli space populate a dense set of directions in the tangent space at $\phi$. 2. Along any infinite distance geodesic, there exists a tower of particles whose scalar-charge-to-mass ratio ($-\nabla \log m$) projection everywhere along the geodesic is greater than or equal to $1/\sqrt{d-2}$. I perform several nontrivial tests of these new conjectures in maximal and half-maximal supergravity examples. I also use the Tower Scalar Weak Gravity Conjecture to conjecture a sharp bound on exponentially heavy towers that accompany infinite distance limits.

10.782365

9.415215

12.322668

8.890065

8.880918

9.690528

9.721576

9.762744

9.174075

13.665148

9.888939

9.301478

10.063242

9.444035

9.080753

9.40615

8.867639

9.468749

9.266225

10.291614

9.653093

1305.6346

Atsushi Naruko

David Langlois, Atsushi Naruko

Bouncing cosmologies in massive gravity on de Sitter

14 pages, 8 figures

null

10.1088/0264-9381/30/20/205012

null

hep-th astro-ph.CO gr-qc

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

In the framework of massive gravity with a de Sitter reference metric, we study homogeneous and isotropic solutions with positive spatial curvature. Remarkably, we find that bounces can occur when cosmological matter satisfies the strong energy condition, in contrast to what happens in classical general relativity. This is due to the presence in the Friedmann equations of additional terms, which depend on the scale factor and its derivatives and can be interpreted as an effective fluid. We present a detailed study of the system using a phase space analysis. After having identified the fixed points of the system and investigated their stability properties, we discuss the cosmological evolution in the global physical phase space. We find that bouncing solutions

[ { "created": "Tue, 28 May 2013 00:11:55 GMT", "version": "v1" } ]

2015-06-16

[ [ "Langlois", "David", "" ], [ "Naruko", "Atsushi", "" ] ]

In the framework of massive gravity with a de Sitter reference metric, we study homogeneous and isotropic solutions with positive spatial curvature. Remarkably, we find that bounces can occur when cosmological matter satisfies the strong energy condition, in contrast to what happens in classical general relativity. This is due to the presence in the Friedmann equations of additional terms, which depend on the scale factor and its derivatives and can be interpreted as an effective fluid. We present a detailed study of the system using a phase space analysis. After having identified the fixed points of the system and investigated their stability properties, we discuss the cosmological evolution in the global physical phase space. We find that bouncing solutions

6.418085

5.99454

5.717335

5.79281

5.981124

5.930766

6.126351

5.69955

6.02147

5.847401

5.75863

6.062248

5.936678

5.790165

5.870547

5.864181

5.974877

5.867148

5.995707

5.768508

5.850489

hep-th/0103076

Oleg Shvedov

Poincare Invariance of Hamiltonian Semiclassical Field Theory

66 pages, LaTeX, no figures

null

hep-th math-ph math.MP

null

Semiclassical Hamiltonian field theory is investigated from the axiomatic point of view. A notion of a semiclassical state is introduced. An "elementary" semiclassical state is specified by a set of classical field configuration and quantum state in this external field. "Composed" semiclassical states viewed as formal superpositions of "elementary" states are nontrivial only if the Maslov isotropic condition is satisfied; the inner product of "composed" semiclassical states is degenerate. The mathematical proof of Poincare invariance of semiclassical field theory is obtained for "elementary" and "composed" semiclassical states. The notion of semiclassical field is introduced; its Poincare invariance is also mathematically proved.

[ { "created": "Sat, 10 Mar 2001 14:26:18 GMT", "version": "v1" } ]

2007-05-23

[ [ "Shvedov", "Oleg", "" ] ]

Semiclassical Hamiltonian field theory is investigated from the axiomatic point of view. A notion of a semiclassical state is introduced. An "elementary" semiclassical state is specified by a set of classical field configuration and quantum state in this external field. "Composed" semiclassical states viewed as formal superpositions of "elementary" states are nontrivial only if the Maslov isotropic condition is satisfied; the inner product of "composed" semiclassical states is degenerate. The mathematical proof of Poincare invariance of semiclassical field theory is obtained for "elementary" and "composed" semiclassical states. The notion of semiclassical field is introduced; its Poincare invariance is also mathematically proved.

8.317443

5.660663

8.466323

6.703854

5.551027

5.407022

5.165684

6.207065

6.175511

9.164227

6.90988

7.494863

8.229601

7.820667

7.371086

7.359903

7.256613

7.372002

7.544555

8.375732

7.866249

1505.02127

Ivo Sachs

Conformal Invariance for a Class of Scale Invariant Theories in Four Dimensions

null

hep-th

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

For a four dimensional, unitary, diffeomorphism- and scale invariant quantum field theory without higher derivatives and a well defined scale current we argue that scale invariance implies conformal invariance. The proof relies on the Wess-Zumino consistency condition for the Weyl anomaly.

[ { "created": "Fri, 8 May 2015 18:40:26 GMT", "version": "v1" } ]

2015-05-11

[ [ "Sachs", "Ivo", "" ] ]

For a four dimensional, unitary, diffeomorphism- and scale invariant quantum field theory without higher derivatives and a well defined scale current we argue that scale invariance implies conformal invariance. The proof relies on the Wess-Zumino consistency condition for the Weyl anomaly.

9.059358

8.06865

10.250527

7.244686

8.203942

7.033591

7.135717

7.027074

7.748043

10.807158

6.902437

7.047743

7.832517

7.160631

7.169015

6.99801

6.81138

7.017739

7.155689

8.227537

7.145502

2304.12909

Eugenia Boffo

Spinning particles and background fields

Prepared for PoS(CORFU2022) proceedings

null

hep-th

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

Through their respective sigma models, a bosonic string and a superstring can be coupled to (super)gravity fields. These are subsequently forced to satisfy their right classical equation of motions, as a consequence of quantization of the string. There are indications that particle models with extended supersymmetry can replicate this behavior. The bosonic sector of supergravity, comprising the metric, the Kalb-Ramond 2-form and the dilaton scalar field, was already shown to derive from Becchi-Rouet-Stora-Tyutin quantization of the $N=4$ spinning particle. Expanding on these results, here we discuss how to retrieve other Supergravity fields in the background.

[ { "created": "Tue, 25 Apr 2023 15:24:13 GMT", "version": "v1" } ]

2023-04-26

[ [ "Boffo", "Eugenia", "" ] ]

Through their respective sigma models, a bosonic string and a superstring can be coupled to (super)gravity fields. These are subsequently forced to satisfy their right classical equation of motions, as a consequence of quantization of the string. There are indications that particle models with extended supersymmetry can replicate this behavior. The bosonic sector of supergravity, comprising the metric, the Kalb-Ramond 2-form and the dilaton scalar field, was already shown to derive from Becchi-Rouet-Stora-Tyutin quantization of the $N=4$ spinning particle. Expanding on these results, here we discuss how to retrieve other Supergravity fields in the background.

12.955602

12.400229

14.566972

12.091179

12.376565

12.719581

12.025875

11.41131

12.753518

14.416926

12.226727

11.768724

13.859748

12.220201

11.491885

12.117693

11.713402

12.504776

12.156254

13.139115

12.116635

hep-th/9411018

null

Rene Lafrance and Robert C. Myers

Gravity's Rainbow: Limits for the applicability of the equivalence principle

13 pages, LaTeX, a subtitle is added

Phys.Rev.D51:2584-2590,1995

10.1103/PhysRevD.51.2584

McGill/94-48

hep-th gr-qc

null

Limits for the applicability of the equivalence principle are considered in the context of low-energy effective field theories. In particular, we find a class of higher-derivative interactions for the gravitational and electromagnetic fields which produce dispersive photon propagation. The latter is illustrated by calculating the energy-dependent contribution to the deflection of light rays.

[ { "created": "Wed, 2 Nov 1994 19:30:02 GMT", "version": "v1" }, { "created": "Thu, 15 Dec 1994 19:28:02 GMT", "version": "v2" } ]

2010-11-01

[ [ "Lafrance", "Rene", "" ], [ "Myers", "Robert C.", "" ] ]

Limits for the applicability of the equivalence principle are considered in the context of low-energy effective field theories. In particular, we find a class of higher-derivative interactions for the gravitational and electromagnetic fields which produce dispersive photon propagation. The latter is illustrated by calculating the energy-dependent contribution to the deflection of light rays.

11.075478

10.309586

10.725294

10.133569

10.156365

9.614138

11.24173

10.084189

10.834095

12.129462

10.006714

10.509295

10.323064

9.984491

9.903913

9.477951

10.035588

9.749792

10.766401

10.454597

9.802698

0712.4147

Marios Petropoulos

P. Marios Petropoulos

Non-unimodular reductions and N = 4 gauged supergravities

15 pages

Fortsch.Phys.56:752-760,2008

10.1002/prop.200810556

CPHT-PC158.1107

hep-th

null

We analyze the class of four-dimensional N = 4 supergravities obtained by gauging the axionic shift and axionic rescaling symmetries. These theories are formulated with the machinery of embedding tensors and shown to be deducible from higher dimensions using a Scherk--Schwarz reduction with a twist by a non-compact symmetry. This allows to evade the usual unimodularity requirement and completes the dictionary between heterotic gaugings and fluxes, at least for the "geometric sector".

[ { "created": "Thu, 27 Dec 2007 13:24:06 GMT", "version": "v1" } ]

2008-11-26

[ [ "Petropoulos", "P. Marios", "" ] ]

We analyze the class of four-dimensional N = 4 supergravities obtained by gauging the axionic shift and axionic rescaling symmetries. These theories are formulated with the machinery of embedding tensors and shown to be deducible from higher dimensions using a Scherk--Schwarz reduction with a twist by a non-compact symmetry. This allows to evade the usual unimodularity requirement and completes the dictionary between heterotic gaugings and fluxes, at least for the "geometric sector".

16.23258

11.517895

18.873196

12.561011

11.129039

10.815351

12.779198

12.523268

12.01456

17.136177

12.03691

12.649392

15.498089

13.733538

13.401226

13.22047

12.91629

13.013743

13.107386

15.899778

13.211717

hep-th/9401014

Pawel Wegrzyn

P.Wegrzyn

Classical Open String Models in 4-Dim Minkowski Spacetime

25 pages, LaTeX, preprint TPJU-28-93 (the previous version was truncated by ftp...)

Phys.Rev.D50:2769-2778,1994

10.1103/PhysRevD.50.2769

null

hep-th

null

Classical bosonic open string models in fourdimensional Minkowski spacetime are discussed. A special attention is paid to the choice of edge conditions, which can follow consistently from the action principle. We consider lagrangians that can depend on second order derivatives of worldsheet coordinates. A revised interpretation of the variational problem for such theories is given. We derive a general form of a boundary term that can be added to the open string action to control edge conditions and modify conservation laws. An extended boundary problem for minimal surfaces is examined. Following the treatment of this model in the geometric approach, we obtain that classical open string states correspond to solutions of a complex Liouville equation. In contrast to the Nambu-Goto case, the Liouville potential is finite and constant at worldsheet boundaries. The phase part of the potential defines topological sectors of solutions.

[ { "created": "Thu, 6 Jan 1994 11:11:47 GMT", "version": "v1" }, { "created": "Mon, 10 Jan 1994 14:19:30 GMT", "version": "v2" }, { "created": "Wed, 12 Jan 1994 12:02:26 GMT", "version": "v3" }, { "created": "Thu, 13 Jan 1994 14:06:52 GMT", "version": "v4" } ]

2010-11-01

[ [ "Wegrzyn", "P.", "" ] ]

Classical bosonic open string models in fourdimensional Minkowski spacetime are discussed. A special attention is paid to the choice of edge conditions, which can follow consistently from the action principle. We consider lagrangians that can depend on second order derivatives of worldsheet coordinates. A revised interpretation of the variational problem for such theories is given. We derive a general form of a boundary term that can be added to the open string action to control edge conditions and modify conservation laws. An extended boundary problem for minimal surfaces is examined. Following the treatment of this model in the geometric approach, we obtain that classical open string states correspond to solutions of a complex Liouville equation. In contrast to the Nambu-Goto case, the Liouville potential is finite and constant at worldsheet boundaries. The phase part of the potential defines topological sectors of solutions.

14.07998

14.083619

14.984344

12.971426

14.269134

14.866928

13.375027

13.073742

13.499727

15.309784

13.389464

13.319512

13.215128

13.065025

13.3089

13.172433

13.239825

13.60704

13.461099

13.322787

13.260942

hep-th/9907045

Kimball A. Milton

Carl M. Bender, Kimball A. Milton, and Van M. Savage

Solution of Schwinger-Dyson Equations for ${\cal PT}$-Symmetric Quantum Field Theory

25 pages, 5 ps figures, REVTeX

Phys.Rev.D62:085001,2000

10.1103/PhysRevD.62.085001

OKHEP-99-05

hep-th

null

In recent papers it has been observed that non-Hermitian Hamiltonians, such as those describing $ig\phi^3$ and $-g\phi^4$ field theories, still possess real positive spectra so long as the weaker condition of ${\cal PT}$ symmetry holds. This allows for the possibility of new kinds of quantum field theories that have strange and quite unexpected properties. In this paper a technique based on truncating the Schwinger-Dyson equations is presented for renormalizing and solving such field theories. Using this technique it is argued that a $-g\phi^4$ scalar quantum field theory in four-dimensional space-time is renormalizable, is asymptotically free, has a nonzero value of $<0|\phi|0>$, and has a positive definite spectrum. Such a theory might be useful in describing the Higgs boson.

[ { "created": "Wed, 7 Jul 1999 15:32:13 GMT", "version": "v1" } ]

2011-09-07

[ [ "Bender", "Carl M.", "" ], [ "Milton", "Kimball A.", "" ], [ "Savage", "Van M.", "" ] ]

In recent papers it has been observed that non-Hermitian Hamiltonians, such as those describing $ig\phi^3$ and $-g\phi^4$ field theories, still possess real positive spectra so long as the weaker condition of ${\cal PT}$ symmetry holds. This allows for the possibility of new kinds of quantum field theories that have strange and quite unexpected properties. In this paper a technique based on truncating the Schwinger-Dyson equations is presented for renormalizing and solving such field theories. Using this technique it is argued that a $-g\phi^4$ scalar quantum field theory in four-dimensional space-time is renormalizable, is asymptotically free, has a nonzero value of $<0|\phi|0>$, and has a positive definite spectrum. Such a theory might be useful in describing the Higgs boson.

7.158953

6.85591

7.045837

6.593393

7.100296

6.852346

6.7447

6.523977

6.208555

7.161685

6.518333

6.34305

6.324578

6.438835

6.405749

6.45641

6.475661

6.4043

6.34334

6.539595

6.561388

1111.1318

Dionisio Bazeia

D. Bazeia and R. Menezes

New results on twinlike models

6 pages, 1 figure

Phys. Rev. D 84, 125018 (2011)

10.1103/PhysRevD.84.125018

null

hep-th hep-ph

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

In this work we study the presence of kinks in models described by a single real scalar field in bidimensional spacetime. We work within the first-order framework, and we show how to write first-order differential equations that solve the equations of motion. The first-order equations strongly simplify the study of linear stability, which is implemented on general grounds. They also lead to a direct investigation of twinlike theories, which is used to introduce a family of models that support the same defect structure, with the very same energy density and linear stability.

[ { "created": "Sat, 5 Nov 2011 14:52:12 GMT", "version": "v1" } ]

2011-12-20

[ [ "Bazeia", "D.", "" ], [ "Menezes", "R.", "" ] ]

In this work we study the presence of kinks in models described by a single real scalar field in bidimensional spacetime. We work within the first-order framework, and we show how to write first-order differential equations that solve the equations of motion. The first-order equations strongly simplify the study of linear stability, which is implemented on general grounds. They also lead to a direct investigation of twinlike theories, which is used to introduce a family of models that support the same defect structure, with the very same energy density and linear stability.

15.837211

7.521939

16.824455

10.36911

8.82021

8.641107

7.180637

8.881674

10.848117

18.415949

10.426989

12.843699

14.699841

13.159422

12.726992

12.560978

12.549164

12.617756

12.793474

14.384042

12.897743

hep-th/0411021

Claudia de Rham

Beyond the Low Energy Approximation in Braneworld Cosmology

48 pages, no figure. Version published in the Physical Review D

Phys.Rev. D71 (2005) 024015

10.1103/PhysRevD.71.024015

DAMTP-2004-122

hep-th

null

We develop a four-dimensional effective theory for Randall-Sundrum models which allows us to calculate long wavelength adiabatic perturbations in a regime where the $\rho ^2$ terms characteristic of braneworld cosmology are significant. This extends previous work employing the moduli space approximation. We extend the treatment of the system to include higher derivative corrections present in the context of braneworld cosmology. The developed formalism allows us to study perturbations beyond the general long wavelength, slow-velocity regime to which the usual moduli approximation is restricted. It enables us to extend the study to a wide range of braneworld cosmology models for which the extra terms play a significant role. As an example we discuss high energy inflation on the brane and analyze the key observational features that distinguish braneworlds from ordinary inflation by considering scalar and tensor perturbations as well as non-gaussianities. We also compare inflation and Cyclic models and study how they can be distinguished in terms of these corrections.

[ { "created": "Mon, 1 Nov 2004 19:05:23 GMT", "version": "v1" }, { "created": "Sun, 7 Nov 2004 18:35:11 GMT", "version": "v2" }, { "created": "Wed, 19 Jan 2005 16:16:21 GMT", "version": "v3" } ]

2009-11-10

[ [ "de Rham", "Claudia", "" ] ]

We develop a four-dimensional effective theory for Randall-Sundrum models which allows us to calculate long wavelength adiabatic perturbations in a regime where the $\rho ^2$ terms characteristic of braneworld cosmology are significant. This extends previous work employing the moduli space approximation. We extend the treatment of the system to include higher derivative corrections present in the context of braneworld cosmology. The developed formalism allows us to study perturbations beyond the general long wavelength, slow-velocity regime to which the usual moduli approximation is restricted. It enables us to extend the study to a wide range of braneworld cosmology models for which the extra terms play a significant role. As an example we discuss high energy inflation on the brane and analyze the key observational features that distinguish braneworlds from ordinary inflation by considering scalar and tensor perturbations as well as non-gaussianities. We also compare inflation and Cyclic models and study how they can be distinguished in terms of these corrections.

11.204004

11.458999

11.289068

10.680323

11.211061

10.999799

11.034874

10.227074

10.358176

12.760839

10.811166

10.825734

11.169462

10.885098

10.655519

10.544098

10.575967

10.697873

10.781791

11.090431

10.560779

1802.09547

V Vishal

Pranjal Nayak, Ashish Shukla, Ronak M Soni, Sandip P. Trivedi, V. Vishal

On the Dynamics of Near-Extremal Black Holes

44 (=26+18) pages, 1 figure, 6 appendices; v2: references added; v3: minor changes made; v4: additional references added, version accepted in JHEP

null

10.1007/JHEP09(2018)048

TIFR/TH/17-35

hep-th gr-qc

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

We analyse the dynamics of near-extremal Reissner-Nordstr\"om black holes in asymptotically four-dimensional Anti-de Sitter space (AdS$_4$). We work in the spherically symmetric approximation and study the thermodynamics and the response to a probe scalar field. We find that the behaviour of the system, at low energies and to leading order in our approximations, is well described by the Jackiw-Teitelboim (JT) model of gravity. In fact, this behaviour can be understood from symmetry considerations and arises due to the breaking of time reparametrisation invariance. The JT model has been analysed in considerable detail recently and related to the behaviour of the SYK model. Our results indicate that features in these models which arise from symmetry considerations alone are more general and present quite universally in near-extremal black holes.

[ { "created": "Mon, 26 Feb 2018 19:00:13 GMT", "version": "v1" }, { "created": "Tue, 27 Mar 2018 18:52:14 GMT", "version": "v2" }, { "created": "Fri, 29 Jun 2018 00:29:24 GMT", "version": "v3" }, { "created": "Thu, 13 Sep 2018 07:26:42 GMT", "version": "v4" } ]

2018-09-14

[ [ "Nayak", "Pranjal", "" ], [ "Shukla", "Ashish", "" ], [ "Soni", "Ronak M", "" ], [ "Trivedi", "Sandip P.", "" ], [ "Vishal", "V.", "" ] ]

We analyse the dynamics of near-extremal Reissner-Nordstr\"om black holes in asymptotically four-dimensional Anti-de Sitter space (AdS$_4$). We work in the spherically symmetric approximation and study the thermodynamics and the response to a probe scalar field. We find that the behaviour of the system, at low energies and to leading order in our approximations, is well described by the Jackiw-Teitelboim (JT) model of gravity. In fact, this behaviour can be understood from symmetry considerations and arises due to the breaking of time reparametrisation invariance. The JT model has been analysed in considerable detail recently and related to the behaviour of the SYK model. Our results indicate that features in these models which arise from symmetry considerations alone are more general and present quite universally in near-extremal black holes.

6.451686

6.208821

6.164664

6.039036

6.014351

5.967939

6.27684

6.159691

6.209292

6.764143

6.134479

5.972471

6.170166

6.112752

5.997761

6.039188

6.161381

6.062974

6.12224

6.273295

6.056499

1505.07830

Gino Knodel

Cynthia Keeler, Gino Knodel, James T. Liu and Kai Sun

Universal features of Lifshitz Green's functions from holography

32 pages, 4 figures, v2: reference added, v3: fixed bug in bibliography

null

10.1007/JHEP08(2015)057

null

hep-th cond-mat.str-el

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

We examine the behavior of the retarded Green's function in theories with Lifshitz scaling symmetry, both through dual gravitational models and a direct field theory approach. In contrast with the case of a relativistic CFT, where the Green's function is fixed (up to normalization) by symmetry, the generic Lifshitz Green's function can a priori depend on an arbitrary function $\mathcal G(\hat\omega)$, where $\hat\omega=\omega/|\vec k|^z$ is the scale-invariant ratio of frequency to wavenumber, with dynamical exponent $z$. Nevertheless, we demonstrate that the imaginary part of the retarded Green's function (i.e. the spectral function) of scalar operators is exponentially suppressed in a window of frequencies near zero. This behavior is universal in all Lifshitz theories without additional constraining symmetries. On the gravity side, this result is robust against higher derivative corrections, while on the field theory side we present two $z=2$ examples where the exponential suppression arises from summing the perturbative expansion to infinite order.

[ { "created": "Thu, 28 May 2015 20:00:30 GMT", "version": "v1" }, { "created": "Mon, 20 Jul 2015 21:18:37 GMT", "version": "v2" }, { "created": "Fri, 5 Feb 2016 19:22:50 GMT", "version": "v3" } ]

2016-02-08

[ [ "Keeler", "Cynthia", "" ], [ "Knodel", "Gino", "" ], [ "Liu", "James T.", "" ], [ "Sun", "Kai", "" ] ]

We examine the behavior of the retarded Green's function in theories with Lifshitz scaling symmetry, both through dual gravitational models and a direct field theory approach. In contrast with the case of a relativistic CFT, where the Green's function is fixed (up to normalization) by symmetry, the generic Lifshitz Green's function can a priori depend on an arbitrary function $\mathcal G(\hat\omega)$, where $\hat\omega=\omega/|\vec k|^z$ is the scale-invariant ratio of frequency to wavenumber, with dynamical exponent $z$. Nevertheless, we demonstrate that the imaginary part of the retarded Green's function (i.e. the spectral function) of scalar operators is exponentially suppressed in a window of frequencies near zero. This behavior is universal in all Lifshitz theories without additional constraining symmetries. On the gravity side, this result is robust against higher derivative corrections, while on the field theory side we present two $z=2$ examples where the exponential suppression arises from summing the perturbative expansion to infinite order.

6.166656

5.838103

6.054003

5.647779

5.198395

5.788589

6.03515

5.838717

5.915195

6.822292

5.811328

5.859789

5.932364

5.787116

5.822726

5.748485

5.788542

5.801413

5.643563

6.076571

5.748425

hep-th/9902182

Joe Polchinski

Joseph Polchinski and Leonard Susskind

Puzzles and Paradoxes About Holography

Replaced by expanded version, hep-th/9903228

null

hep-th

null

See hep-th/9903228.

[ { "created": "Thu, 25 Feb 1999 01:44:21 GMT", "version": "v1" }, { "created": "Mon, 1 Mar 1999 22:36:39 GMT", "version": "v2" }, { "created": "Fri, 2 Apr 1999 05:45:24 GMT", "version": "v3" } ]

2007-05-23

[ [ "Polchinski", "Joseph", "" ], [ "Susskind", "Leonard", "" ] ]

See hep-th/9903228.

149.350754

14.745975

45.31686

16.184858

15.568702

19.51417

20.403997

13.561572

22.501064

74.284325

26.590267

16.725803

31.96744

17.776634

20.905073

20.782446

19.355999

21.80265

18.761789

46.008701

36.53828

2211.04875

Mikhail Volkov

Romain Gervalle and Mikhail S. Volkov

Electroweak multi-monopoles

48 pages, many figures

null

10.1016/j.nuclphysb.2023.116112

null

hep-th hep-ph

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

We construct the multi-charge generalizations for the electroweak magnetic monopole solution of Cho and Maison within a wide range of values of the magnetic charge. We use the same ansatz for the axially symmetric fields as the one previously employed to construct the electroweak sphalerons and compare the internal structure of monopoles with that of sphalerons. The monopoles have zero dipole moment but a finite quadrupole momentum that rapidly increases with growing magnetic charge. For large charges, the monopole configurations are strongly squashed and show inside a bubble of symmetric phase filled with a U(1) hypercharge field produced by a pointlike magnetic charge at the origin, strong enough to suppress all other fields and restore the full gauge symmetry. The bubble is surrounded by a large belt of broken phase containing a magnetically charged ring filled with a nonlinear W-condensate, squeezed between two superconducting rings of opposite electric currents. In the far field region there remains only the magnetic field supported by the total magnetic charge contained at the origin and in the magnetic ring. The axially symmetric monopoles are probably just a special case of more general monopole solutions not possessing any continuous symmetries. The Cho-Maison monopole is stable but the stability of its multi-charge generalizations is not yet confirmed. All electroweak monopoles have infinite energy due to the pointlike U(1) charge at the origin, but the energy is expected to become finite after taking gravity into account, which should provide a cutoff via creating an event horizon to shield the U(1) charge.

[ { "created": "Wed, 9 Nov 2022 13:33:02 GMT", "version": "v1" } ]

2023-03-01

[ [ "Gervalle", "Romain", "" ], [ "Volkov", "Mikhail S.", "" ] ]

We construct the multi-charge generalizations for the electroweak magnetic monopole solution of Cho and Maison within a wide range of values of the magnetic charge. We use the same ansatz for the axially symmetric fields as the one previously employed to construct the electroweak sphalerons and compare the internal structure of monopoles with that of sphalerons. The monopoles have zero dipole moment but a finite quadrupole momentum that rapidly increases with growing magnetic charge. For large charges, the monopole configurations are strongly squashed and show inside a bubble of symmetric phase filled with a U(1) hypercharge field produced by a pointlike magnetic charge at the origin, strong enough to suppress all other fields and restore the full gauge symmetry. The bubble is surrounded by a large belt of broken phase containing a magnetically charged ring filled with a nonlinear W-condensate, squeezed between two superconducting rings of opposite electric currents. In the far field region there remains only the magnetic field supported by the total magnetic charge contained at the origin and in the magnetic ring. The axially symmetric monopoles are probably just a special case of more general monopole solutions not possessing any continuous symmetries. The Cho-Maison monopole is stable but the stability of its multi-charge generalizations is not yet confirmed. All electroweak monopoles have infinite energy due to the pointlike U(1) charge at the origin, but the energy is expected to become finite after taking gravity into account, which should provide a cutoff via creating an event horizon to shield the U(1) charge.

9.696868

10.161999

10.038845

9.753865

10.30847

10.76606

10.885622

10.309146

10.108276

11.539831

9.774869

9.716349

9.73764

9.597707

9.489867

9.488263

9.579448

9.662299

9.598849

9.725503

9.598592

2105.09423

Debabrata Ghorai

Debabrata Ghorai, Sunandan Gangopadhyay

Analytical study of holographic superconductor with backreaction in $4d$ Gauss-Bonnet gravity

18 pages, 3 figures

null

10.1016/j.physletb.2021.136699

null

hep-th gr-qc

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

In this paper we have analytically investigated holographic superconductors in four dimensional Einstein-Gauss-Bonnet gravity background. Recently the novel four dimensional Einstein-Gauss-Bonnet gravity has been formulated by rescaling the Gauss-Bonnet coupling constant $\alpha\rightarrow \frac{\alpha}{d-4}$ and taking the limit $d\rightarrow 4$, and this predicts several interesting new features. To know the effect of the curvature correction on the $(2+1)$-dimensional superconductors, we have consider the $3+1$-dimensional Einstein-Gauss-Bonnet gravity. Using the Sturm-Liouville eigenvalue approach, the critical temperature and the condensation operator values has been investigated in this framework away from the probe limit. We recover the numerical results from our analytical investigation.

[ { "created": "Wed, 19 May 2021 22:27:33 GMT", "version": "v1" } ]

2021-10-27

[ [ "Ghorai", "Debabrata", "" ], [ "Gangopadhyay", "Sunandan", "" ] ]

In this paper we have analytically investigated holographic superconductors in four dimensional Einstein-Gauss-Bonnet gravity background. Recently the novel four dimensional Einstein-Gauss-Bonnet gravity has been formulated by rescaling the Gauss-Bonnet coupling constant $\alpha\rightarrow \frac{\alpha}{d-4}$ and taking the limit $d\rightarrow 4$, and this predicts several interesting new features. To know the effect of the curvature correction on the $(2+1)$-dimensional superconductors, we have consider the $3+1$-dimensional Einstein-Gauss-Bonnet gravity. Using the Sturm-Liouville eigenvalue approach, the critical temperature and the condensation operator values has been investigated in this framework away from the probe limit. We recover the numerical results from our analytical investigation.

5.887492

5.716548

5.586939

5.167607

5.70697

5.456608

5.793706

4.896011

5.51122

5.977112

5.525336

5.570992

5.462704

5.427541

5.752232

5.573386

5.645165

5.261302

5.55372

5.535425

5.479361

0901.0265

Daniel Baumann

Daniel Baumann, Liam McAllister

Advances in Inflation in String Theory

60 pages, 1 figure. Invited review to appear in Annu. Rev. Nuc. Part. Sci

Ann.Rev.Nucl.Part.Sci.59:67-94,2009

10.1146/annurev.nucl.010909.083524

null

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

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

We provide a pedagogical overview of inflation in string theory. Our theme is the sensitivity of inflation to Planck-scale physics, which we argue provides both the primary motivation and the central theoretical challenge for the subject. We illustrate these issues through two case studies of inflationary scenarios in string theory: warped D-brane inflation and axion monodromy inflation. Finally, we indicate how future observations can test scenarios of inflation in string theory.

[ { "created": "Fri, 2 Jan 2009 18:12:00 GMT", "version": "v1" } ]

2009-12-15

[ [ "Baumann", "Daniel", "" ], [ "McAllister", "Liam", "" ] ]

We provide a pedagogical overview of inflation in string theory. Our theme is the sensitivity of inflation to Planck-scale physics, which we argue provides both the primary motivation and the central theoretical challenge for the subject. We illustrate these issues through two case studies of inflationary scenarios in string theory: warped D-brane inflation and axion monodromy inflation. Finally, we indicate how future observations can test scenarios of inflation in string theory.

7.232124

6.701185

7.199452

6.618376

6.815984

6.72939

6.902025

6.704693

6.507277

6.836214

6.667429

7.057172

6.895147

6.95472

7.127269

6.776745

7.000103

6.974572

6.690475

7.235823

6.951446

1202.1497

Andrew Koshelkin V.

A.V.Koshelkin

Bosonization in SU(N) Gauge Field Theory in Terms of Phase Transition of Second Kind

null

hep-th

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

Bosonization of the strong interacting matter as a process of arising observable hadrons is studied in terms of the phase transition of the second kind. The spectrum of bosons which is free from the zero point energy is derived . The calculated boson mass is found to depend self-consistently on both the amplitude of a gauge field and quark mass. In the framework of the quasi-classical model a hadron mass is calculated in the case of bosonization into pions.

[ { "created": "Tue, 7 Feb 2012 19:07:00 GMT", "version": "v1" } ]

2012-02-08

[ [ "Koshelkin", "A. V.", "" ] ]

Bosonization of the strong interacting matter as a process of arising observable hadrons is studied in terms of the phase transition of the second kind. The spectrum of bosons which is free from the zero point energy is derived . The calculated boson mass is found to depend self-consistently on both the amplitude of a gauge field and quark mass. In the framework of the quasi-classical model a hadron mass is calculated in the case of bosonization into pions.

16.203419

15.511286

15.242968

15.715076

16.157768

17.168228

14.825284

15.388125

15.118923

16.352795

15.366457

15.427604

14.181999

14.641306

15.000416

15.320036

14.871561

15.020969

14.397463

13.99233

15.474093

hep-th/0409069

Isao Kishimoto

Isao Kishimoto, Yutaka Matsuo

Cardy states, factorization and idempotency in closed string field theory

44 pages, 6 figures, references added, typos corrected

Nucl.Phys. B707 (2005) 3-42

10.1016/j.nuclphysb.2004.11.062

UT-04-23

hep-th

null

We show that boundary states in the generic on-shell background satisfy a universal nonlinear equation of closed string field theory. It generalizes our previous claim for the flat background. The origin of the equation is factorization relation of boundary conformal field theory which is always true as an axiom. The equation necessarily incorporates the information of open string sector through a regularization, which implies the equivalence with Cardy condition. We also give a more direct proof by oscillator representations for some nontrivial backgrounds (torus and orbifolds). Finally we discuss some properties of the closed string star product for non-vanishing $B$ field and find that a commutative and non-associative product (Strachan product) appears naturally in Seiberg-Witten limit.

[ { "created": "Mon, 6 Sep 2004 18:45:28 GMT", "version": "v1" }, { "created": "Wed, 15 Dec 2004 05:58:50 GMT", "version": "v2" } ]

2010-04-05

[ [ "Kishimoto", "Isao", "" ], [ "Matsuo", "Yutaka", "" ] ]

We show that boundary states in the generic on-shell background satisfy a universal nonlinear equation of closed string field theory. It generalizes our previous claim for the flat background. The origin of the equation is factorization relation of boundary conformal field theory which is always true as an axiom. The equation necessarily incorporates the information of open string sector through a regularization, which implies the equivalence with Cardy condition. We also give a more direct proof by oscillator representations for some nontrivial backgrounds (torus and orbifolds). Finally we discuss some properties of the closed string star product for non-vanishing $B$ field and find that a commutative and non-associative product (Strachan product) appears naturally in Seiberg-Witten limit.

17.414209

18.362526

20.91482

16.291981

16.386492

16.735138

16.838512

18.367996

16.26322

21.231972

15.435768

16.045559

18.526659

16.164564

15.895124

15.672903

15.902058

15.808838

16.540085

17.559013

16.225233

hep-th/0404190

Li-Sheng Tseng

Kazumi Okuyama, Li-Sheng Tseng

Three-Point Functions in N=4 SYM Theory at One-Loop

34 pages, 9 figures, harvmac; references added

JHEP 0408:055,2004

10.1088/1126-6708/2004/08/055

EFI-04-14

hep-th

null

We analyze the one-loop correction to the three-point function coefficient of scalar primary operators in N=4 SYM theory. By applying constraints from the superconformal symmetry, we demonstrate that the type of Feynman diagrams that contribute depends on the choice of renormalization scheme. In the planar limit, explicit expressions for the correction are interpreted in terms of the hamiltonians of the associated integrable closed and open spin chains. This suggests that at least at one-loop, the planar conformal field theory is integrable with the anomalous dimensions and OPE coefficients both obtainable from integrable spin chain calculations. We also connect the planar results with similar structures found in closed string field theory.

[ { "created": "Fri, 23 Apr 2004 19:51:17 GMT", "version": "v1" }, { "created": "Tue, 21 Sep 2004 19:05:16 GMT", "version": "v2" } ]

2010-02-03

[ [ "Okuyama", "Kazumi", "" ], [ "Tseng", "Li-Sheng", "" ] ]

We analyze the one-loop correction to the three-point function coefficient of scalar primary operators in N=4 SYM theory. By applying constraints from the superconformal symmetry, we demonstrate that the type of Feynman diagrams that contribute depends on the choice of renormalization scheme. In the planar limit, explicit expressions for the correction are interpreted in terms of the hamiltonians of the associated integrable closed and open spin chains. This suggests that at least at one-loop, the planar conformal field theory is integrable with the anomalous dimensions and OPE coefficients both obtainable from integrable spin chain calculations. We also connect the planar results with similar structures found in closed string field theory.

9.18329

9.374763

10.096004

8.635663

8.726091

8.769737

8.740962

8.157383

8.491183

10.40322

8.259716

8.912476

9.622468

8.594666

8.371636

8.965971

8.587756

8.925239

8.785942

9.974173

8.468497

2012.14091

Jue Hou

Bin Chen, Jue Hou, Jia Tian

Note on the nonrelativistic $T\bar{T}$ deformation

14 pages, 2 figures, references updated, more clarifications

Phys. Rev. D 104, 025004 (2021)

10.1103/PhysRevD.104.025004

null

hep-th

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

In this paper, we present our study on the $T\bar{T}$-deformation of non-relativistic complex scalar field theory. We find the closed form of the deformed Lagrangian by using the perturbation and the method of characteristics. Furthermore we compute the exact energy spectrum of the deformed free theory by using the Brillouin-Wigner perturbation theory in an appropriate regularization scheme.

[ { "created": "Mon, 28 Dec 2020 04:30:24 GMT", "version": "v1" }, { "created": "Fri, 8 Jan 2021 06:48:29 GMT", "version": "v2" }, { "created": "Wed, 7 Jul 2021 02:27:24 GMT", "version": "v3" } ]

2021-07-14

[ [ "Chen", "Bin", "" ], [ "Hou", "Jue", "" ], [ "Tian", "Jia", "" ] ]

In this paper, we present our study on the $T\bar{T}$-deformation of non-relativistic complex scalar field theory. We find the closed form of the deformed Lagrangian by using the perturbation and the method of characteristics. Furthermore we compute the exact energy spectrum of the deformed free theory by using the Brillouin-Wigner perturbation theory in an appropriate regularization scheme.

6.801631

5.493711

7.114171

5.780037

5.644255

5.327024

5.972956

5.761688

5.423085

6.410675

5.844459

5.768256

6.404796

5.743922

5.812074

5.81925

5.730925

5.801632

5.758841

6.392733

6.169808

hep-th/9612043

Oleg Andreev

Oleg Andreev (Ecole Normale Superieure and Landau Institute for Theoretical Physics)

Some chiral rings of N=2 discrete superconformal series induced by SL(2) degenerate conformal field theories

19 pages, 2 figures, latex2e

Nucl.Phys. B494 (1997) 546-566

10.1016/S0550-3213(97)00165-X

LPTENS-96/68

hep-th

null

By generalizing a fermionic construction, a natural relation is found between SL(2) degenerate conformal field theories and some N=2 discrete superconformal series. These non-unitary models contain, as a subclass, N=2 minimal models. The construction permits one to investigate the properties of chiral operators in the N=2 models. A chiral ring reveals a close connection with underlying quantum group structures.

[ { "created": "Wed, 4 Dec 1996 09:28:38 GMT", "version": "v1" } ]

2009-10-30

[ [ "Andreev", "Oleg", "", "Ecole Normale Superieure and Landau Institute for\n Theoretical Physics" ] ]

By generalizing a fermionic construction, a natural relation is found between SL(2) degenerate conformal field theories and some N=2 discrete superconformal series. These non-unitary models contain, as a subclass, N=2 minimal models. The construction permits one to investigate the properties of chiral operators in the N=2 models. A chiral ring reveals a close connection with underlying quantum group structures.

16.008327

12.299134

17.438526

13.099133

15.075554

14.14655

15.220049

12.628808

12.962313

17.638433

13.365775

14.212007

15.515614

13.949916

14.337012

13.952035

14.667017

14.635603

13.886333

15.352967

13.961057

1909.02517

Paolo Benincasa

Cosmological Polytopes and the Wavefuncton of the Universe for Light States

null

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

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

We extend the investigation of the structure of the late-time wavefunction of the universe to a class of toy models of scalars with time-dependent masses and polynomial couplings, which contains general massive scalars in FRW cosmologies. We associate a universal integrand to each Feynman diagram contributing to the wavefunction of the universe. For certain (light) masses, such an integrand satisfies recursion relations involving differential operators, connecting states with different masses and having, as a seed, the massless scalar (which describes a conformally coupled scalar as a special case). We show that it is a degenerate limit of the canonical form of a generalisation of the cosmological polytopes describing the wavefunction for massless scalars. Intriguingly, the flat-space scattering amplitude appears as a higher codimension face: it is encoding the leading term in the Laurent expansion as the total energy is taken to zero, with the codimension of the face providing the order of the total energy pole. The same connection between the other faces and the Laurent expansion coefficients holds for the other singularities of the wavefunction of the universe, all of them connectable to flat-space processes. As the degenerate limit is taken, some of the singularities of the canonical form of the polytope collapse onto each other generating higher order poles. Finally, we consider the mass as a perturbative coupling, showing that the contribution to the wavefunction coming from graphs with mass two-point couplings can be identified with a degenerate limit of the canonical form of the cosmological polytope, if the perturbative expansion is done around the conformally coupled state; or as double degenerate limit of the canonical form of the extension of the cosmological polytopes introduced in the present paper, if the perturbative expansion is done around minimally coupled states.

[ { "created": "Thu, 5 Sep 2019 16:40:02 GMT", "version": "v1" } ]

2019-09-06

[ [ "Benincasa", "Paolo", "" ] ]

We extend the investigation of the structure of the late-time wavefunction of the universe to a class of toy models of scalars with time-dependent masses and polynomial couplings, which contains general massive scalars in FRW cosmologies. We associate a universal integrand to each Feynman diagram contributing to the wavefunction of the universe. For certain (light) masses, such an integrand satisfies recursion relations involving differential operators, connecting states with different masses and having, as a seed, the massless scalar (which describes a conformally coupled scalar as a special case). We show that it is a degenerate limit of the canonical form of a generalisation of the cosmological polytopes describing the wavefunction for massless scalars. Intriguingly, the flat-space scattering amplitude appears as a higher codimension face: it is encoding the leading term in the Laurent expansion as the total energy is taken to zero, with the codimension of the face providing the order of the total energy pole. The same connection between the other faces and the Laurent expansion coefficients holds for the other singularities of the wavefunction of the universe, all of them connectable to flat-space processes. As the degenerate limit is taken, some of the singularities of the canonical form of the polytope collapse onto each other generating higher order poles. Finally, we consider the mass as a perturbative coupling, showing that the contribution to the wavefunction coming from graphs with mass two-point couplings can be identified with a degenerate limit of the canonical form of the cosmological polytope, if the perturbative expansion is done around the conformally coupled state; or as double degenerate limit of the canonical form of the extension of the cosmological polytopes introduced in the present paper, if the perturbative expansion is done around minimally coupled states.

10.121982

9.772166

10.72187

9.580445

10.263309

10.364572

10.267267

10.143166

9.487105

11.052813

9.982308

9.89421

10.247642

9.812056

10.298558

10.270075

9.964594

9.914634

9.704118

10.136503

9.787089

hep-th/9705057

Michael Dine

Michael Dine and Nathan Seiberg

Comments on Higher Derivative Operators in Some SUSY Field Theories

14 pages, harvmac. A reference corrected

Phys.Lett.B409:239-244,1997

10.1016/S0370-2693(97)00899-X

SCIPP 97/12, RU-97-31

hep-th

null

We study the leading irrelevant operators along the flat directions of certain supersymmetric theories. In particular, we focus on finite N=2 (including N=4) supersymmetric field theories in four dimensions and show that these operators are completely determined by the symmetries of the problem. This shows that they are generated only at one loop and are not renormalized beyond this order. An instanton computation in similar three dimensional theories shows that these terms are renormalized. Hence, the four dimensional non-renormalization theorem of these terms is not valid in three dimensions.

[ { "created": "Thu, 8 May 1997 23:52:19 GMT", "version": "v1" }, { "created": "Fri, 9 May 1997 17:32:21 GMT", "version": "v2" } ]

2016-09-06

[ [ "Dine", "Michael", "" ], [ "Seiberg", "Nathan", "" ] ]

We study the leading irrelevant operators along the flat directions of certain supersymmetric theories. In particular, we focus on finite N=2 (including N=4) supersymmetric field theories in four dimensions and show that these operators are completely determined by the symmetries of the problem. This shows that they are generated only at one loop and are not renormalized beyond this order. An instanton computation in similar three dimensional theories shows that these terms are renormalized. Hence, the four dimensional non-renormalization theorem of these terms is not valid in three dimensions.

9.463258

8.503189

9.578183

8.071078

9.184418

8.690602

8.945512

9.070508

8.687987

10.400126

8.830349

8.984213

9.418892

8.869489

8.81873

8.955842

8.948845

8.714855

8.808212

9.488924

8.835773

1106.1585

Warren Siegel

New superspaces/algebras for superparticles/strings

37 pages

null

YITP-SB-11-18

hep-th

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

We describe covariant derivatives with respect to the coordinates of the full superPoincar\'e group and dual coordinates, for Yang-Mills and supergravity. The derivatives have engineering dimension running from 0 to 2. Prepotentials appear as potentials for Lorentz derivatives (spin). Their role is clarified in a lightcone analysis, where they also act as compensating gauge parameters and Hertz potentials. Field strengths appear as potentials for dual-coordinate derivatives, until dimensional reduction. These generalizations extend the superstring's affine Lie algebra, and generalize gauge couplings for the superparticle.

[ { "created": "Wed, 8 Jun 2011 15:44:14 GMT", "version": "v1" } ]

2011-06-09

[ [ "Siegel", "Warren", "" ] ]

We describe covariant derivatives with respect to the coordinates of the full superPoincar\'e group and dual coordinates, for Yang-Mills and supergravity. The derivatives have engineering dimension running from 0 to 2. Prepotentials appear as potentials for Lorentz derivatives (spin). Their role is clarified in a lightcone analysis, where they also act as compensating gauge parameters and Hertz potentials. Field strengths appear as potentials for dual-coordinate derivatives, until dimensional reduction. These generalizations extend the superstring's affine Lie algebra, and generalize gauge couplings for the superparticle.

24.615347

28.403036

28.922152

23.359781

26.310587

25.379833

27.029224

24.445745

23.712446

28.651567

24.485954

24.364796

23.970795

23.499517

23.037563

23.792891

24.16519

24.396662

22.628614

24.054129

22.318933

hep-th/0001086

Esposito Giampiero

Giampiero Esposito

Boundary Operators in Quantum Field Theory

23 pages, plain Tex. The revised version contains a new section, and the presentation has been improved

Int.J.Mod.Phys. A15 (2000) 4539-4555

10.1142/S0217751X00002068

DSF preprint 2000/1

hep-th

null

The fundamental laws of physics can be derived from the requirement of invariance under suitable classes of transformations on the one hand, and from the need for a well-posed mathematical theory on the other hand. As a part of this programme, the present paper shows under which conditions the introduction of pseudo-differential boundary operators in one-loop Euclidean quantum gravity is compatible both with their invariance under infinitesimal diffeomorphisms and with the requirement of a strongly elliptic theory. Suitable assumptions on the kernel of the boundary operator make it therefore possible to overcome problems resulting from the choice of purely local boundary conditions.

[ { "created": "Fri, 14 Jan 2000 08:47:29 GMT", "version": "v1" }, { "created": "Wed, 19 Apr 2000 16:33:48 GMT", "version": "v2" } ]

2016-12-28

[ [ "Esposito", "Giampiero", "" ] ]

The fundamental laws of physics can be derived from the requirement of invariance under suitable classes of transformations on the one hand, and from the need for a well-posed mathematical theory on the other hand. As a part of this programme, the present paper shows under which conditions the introduction of pseudo-differential boundary operators in one-loop Euclidean quantum gravity is compatible both with their invariance under infinitesimal diffeomorphisms and with the requirement of a strongly elliptic theory. Suitable assumptions on the kernel of the boundary operator make it therefore possible to overcome problems resulting from the choice of purely local boundary conditions.

9.954955

9.561198

9.940333

8.99019

9.8097

9.188294

9.624987

9.217184

9.619626

10.0337

8.872213

9.524988

9.766493

9.534915

9.614568

9.223893

9.541289

9.29739

9.619856

9.657967

9.587089

hep-th/0411154

Jerzy Kowalski-Glikman

J. Kowalski-Glikman and S. Nowak

Quantum $\kappa$-Poincar\'e Algebra from de Sitter Space of Momenta

10 pages

null

hep-th

null

There is a growing number of physical models, like point particle(s) in 2+1 gravity or Doubly Special Relativity, in which the space of momenta is curved, de Sitter space. We show that for such models the algebra of space-time symmetries possesses a natural Hopf algebra structure. It turns out that this algebra is just the quantum $\kappa$-Poincar\'e algebra.

[ { "created": "Wed, 17 Nov 2004 09:03:54 GMT", "version": "v1" } ]

2007-05-23

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

There is a growing number of physical models, like point particle(s) in 2+1 gravity or Doubly Special Relativity, in which the space of momenta is curved, de Sitter space. We show that for such models the algebra of space-time symmetries possesses a natural Hopf algebra structure. It turns out that this algebra is just the quantum $\kappa$-Poincar\'e algebra.

9.177827

7.046968

7.883823

6.787347

7.17045

7.08363

6.564188

6.995007

7.153964

8.658118

6.925026

7.015849

7.339113

7.380811

7.396778

7.080934

6.946826

7.109031

7.403222

7.696905

7.2701

1507.04620

Owen Vaughan

Vicente Cort\'es, Paul Dempster, Thomas Mohaupt, Owen Vaughan

Special Geometry of Euclidean Supersymmetry IV: the local c-map

70 pages, 2 tables, 1 figure

null

LTH 1049, ZMP-HH/15-18

hep-th math.DG

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

We consider timelike and spacelike reductions of 4D, N = 2 Minkowskian and Euclidean vector multiplets coupled to supergravity and the maps induced on the scalar geometry. In particular, we investigate (i) the (standard) spatial c-map, (ii) the temporal c-map, which corresponds to the reduction of the Minkowskian theory over time, and (iii) the Euclidean c-map, which corresponds to the reduction of the Euclidean theory over space. In the last two cases we prove that the target manifold is para-quaternionic Kahler. In cases (i) and (ii) we construct two integrable complex structures on the target manifold, one of which belongs to the quaternionic and para-quaternionic structure, respectively. In case (iii) we construct two integrable para-complex structures, one of which belongs to the para-quaternionic structure. In addition we provide a new global construction of the spatial, temporal and Euclidean c-maps, and separately consider a description of the target manifold as a fibre bundle over a projective special Kahler or para-Kahler base.

[ { "created": "Thu, 16 Jul 2015 15:26:00 GMT", "version": "v1" } ]

2015-07-17

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

We consider timelike and spacelike reductions of 4D, N = 2 Minkowskian and Euclidean vector multiplets coupled to supergravity and the maps induced on the scalar geometry. In particular, we investigate (i) the (standard) spatial c-map, (ii) the temporal c-map, which corresponds to the reduction of the Minkowskian theory over time, and (iii) the Euclidean c-map, which corresponds to the reduction of the Euclidean theory over space. In the last two cases we prove that the target manifold is para-quaternionic Kahler. In cases (i) and (ii) we construct two integrable complex structures on the target manifold, one of which belongs to the quaternionic and para-quaternionic structure, respectively. In case (iii) we construct two integrable para-complex structures, one of which belongs to the para-quaternionic structure. In addition we provide a new global construction of the spatial, temporal and Euclidean c-maps, and separately consider a description of the target manifold as a fibre bundle over a projective special Kahler or para-Kahler base.

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