LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2307.09353

Filippo Fecit

Fiorenzo Bastianelli, Francesco Comberiati, Filippo Fecit, Fabio Ori

Six-dimensional one-loop divergences in quantum gravity from the $\mathcal{N}=4$ spinning particle

38 pages. Updated version accepted for publication. A couple of typos have been corrected

JHEP 10 (2023) 152

10.1007/JHEP10(2023)152

null

hep-th

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

In this work, we investigate the computation of the counterterms necessary for the renormalization of the one-loop effective action of quantum gravity using both the worldline formalism and the heat kernel method. Our primary contribution is the determination of the Seleey-DeWitt coefficient $a_3(D)$ for perturbative quantum gravity with a cosmological constant, which we evaluate on Einstein manifolds of arbitrary $D$ dimensions. This coefficient characterizes quantum gravity in a gauge-invariant manner due to the on-shell condition of the background on which the graviton propagates. Previously, this coefficient was not fully known in the literature. We employ the $\mathcal{N}=4$ spinning particle model recently proposed to describe the graviton in first quantization and then use the heat kernel method to cross-check the correctness of our calculations. Finally, we restrict to six dimensions, where the coefficient corresponds to the logarithmic divergences of the effective action, and compare our results with those available in the literature.

[ { "created": "Tue, 18 Jul 2023 15:39:48 GMT", "version": "v1" }, { "created": "Wed, 8 Nov 2023 09:32:52 GMT", "version": "v2" } ]

2023-11-09

[ [ "Bastianelli", "Fiorenzo", "" ], [ "Comberiati", "Francesco", "" ], [ "Fecit", "Filippo", "" ], [ "Ori", "Fabio", "" ] ]

In this work, we investigate the computation of the counterterms necessary for the renormalization of the one-loop effective action of quantum gravity using both the worldline formalism and the heat kernel method. Our primary contribution is the determination of the Seleey-DeWitt coefficient $a_3(D)$ for perturbative quantum gravity with a cosmological constant, which we evaluate on Einstein manifolds of arbitrary $D$ dimensions. This coefficient characterizes quantum gravity in a gauge-invariant manner due to the on-shell condition of the background on which the graviton propagates. Previously, this coefficient was not fully known in the literature. We employ the $\mathcal{N}=4$ spinning particle model recently proposed to describe the graviton in first quantization and then use the heat kernel method to cross-check the correctness of our calculations. Finally, we restrict to six dimensions, where the coefficient corresponds to the logarithmic divergences of the effective action, and compare our results with those available in the literature.

8.845882

7.529356

9.145015

7.838242

7.76884

7.810981

7.553124

7.895918

7.747481

8.597364

7.797207

8.393188

8.418584

8.12953

8.376579

8.546054

8.403784

8.277821

8.148935

8.404735

8.216873

hep-th/9802077

Sreedhar Vinnakota

L. O'Raifeartaigh and V. V. Sreedhar

Path Integral Formulation of the Conformal Wess-Zumino-Witten to Liouville Reduction

Plain TeX file, 15 pages

Phys.Lett. B425 (1998) 291-299

10.1016/S0370-2693(98)00157-9

DIAS-STP-98-04

hep-th

null

The quantum Wess-Zumino-Witten $\to$ Liouville reduction is formulated using the phase space path integral method of Batalin, Fradkin, and Vilkovisky, adapted to theories on compact two dimensional manifolds. The importance of the zero modes of the Lagrange multipliers in producing the Liouville potential and the WZW anomaly, and in proving gauge invariance, is emphasised. A previous problem concerning the gauge dependence of the Virasoro centre is solved.

[ { "created": "Wed, 11 Feb 1998 20:49:21 GMT", "version": "v1" } ]

2009-10-31

[ [ "O'Raifeartaigh", "L.", "" ], [ "Sreedhar", "V. V.", "" ] ]

The quantum Wess-Zumino-Witten $\to$ Liouville reduction is formulated using the phase space path integral method of Batalin, Fradkin, and Vilkovisky, adapted to theories on compact two dimensional manifolds. The importance of the zero modes of the Lagrange multipliers in producing the Liouville potential and the WZW anomaly, and in proving gauge invariance, is emphasised. A previous problem concerning the gauge dependence of the Virasoro centre is solved.

10.825004

6.925401

9.471431

7.520436

7.922374

7.711572

7.631579

7.68196

7.101595

10.603141

8.08363

8.578335

9.486583

8.794436

9.01332

9.091095

8.80397

8.850957

8.668943

9.594023

8.598188

1608.03277

Rodolfo Panerai

Andreas Brandhuber, Edward Hughes, Rodolfo Panerai, Bill Spence and Gabriele Travaglini

The connected prescription for form factors in twistor space

16 pages, 3 figures

null

10.1007/JHEP11(2016)143

QMUL-PH-16-16

hep-th

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

We propose a connected prescription formula in twistor space for all tree-level form factors of the stress tensor multiplet operator in $\mathcal{N}=4$ super Yang-Mills, which is a generalisation of the expression of Roiban, Spradlin and Volovich for superamplitudes. By introducing link variables, we show that our formula is identical to the recently proposed four-dimensional scattering equations for form factors. Similarly to the case of amplitudes, the link representation of form factors is shown to be directly related to BCFW recursion relations, and is considerably more tractable than the scattering equations. We also discuss how our results are related to a recent Grassmannian formulation of form factors, and comment on a possible derivation of our formula from ambitwistor strings.

[ { "created": "Wed, 10 Aug 2016 20:00:02 GMT", "version": "v1" } ]

2016-12-21

[ [ "Brandhuber", "Andreas", "" ], [ "Hughes", "Edward", "" ], [ "Panerai", "Rodolfo", "" ], [ "Spence", "Bill", "" ], [ "Travaglini", "Gabriele", "" ] ]

We propose a connected prescription formula in twistor space for all tree-level form factors of the stress tensor multiplet operator in $\mathcal{N}=4$ super Yang-Mills, which is a generalisation of the expression of Roiban, Spradlin and Volovich for superamplitudes. By introducing link variables, we show that our formula is identical to the recently proposed four-dimensional scattering equations for form factors. Similarly to the case of amplitudes, the link representation of form factors is shown to be directly related to BCFW recursion relations, and is considerably more tractable than the scattering equations. We also discuss how our results are related to a recent Grassmannian formulation of form factors, and comment on a possible derivation of our formula from ambitwistor strings.

6.517831

5.828877

7.680133

5.668841

5.939463

5.098281

5.93129

5.535864

5.224359

7.692275

5.934413

5.953602

6.729954

5.907265

6.138021

6.005767

5.772526

5.917902

6.056852

6.617482

6.112626

hep-th/9310067

null

B. de Wit and A. Van Proeyen

Hidden symmetries, special geometry and quaternionic manifolds

18 pages

Int.J.Mod.Phys.D3:31-48,1994

10.1142/S0218271894000058

THE-93/24, KUL-TF-93/43

hep-th math.DG

null

The moduli space of the Calabi-Yau three-folds, which play a role as superstring ground states, exhibits the same {\em special geometry} that is known from nonlinear sigma models in $N=2$ supergravity theories. We discuss the symmetry structure of special real, complex and quaternionic spaces. Maps between these spaces are implemented via dimensional reduction. We analyze the emergence of {\em extra} and {\em hidden} symmetries. This analysis is then applied to homogeneous special spaces and the implications for the classification of homogeneous quaternionic spaces are discussed.

[ { "created": "Wed, 13 Oct 1993 10:57:30 GMT", "version": "v1" } ]

2010-11-01

[ [ "de Wit", "B.", "" ], [ "Van Proeyen", "A.", "" ] ]

The moduli space of the Calabi-Yau three-folds, which play a role as superstring ground states, exhibits the same {\em special geometry} that is known from nonlinear sigma models in $N=2$ supergravity theories. We discuss the symmetry structure of special real, complex and quaternionic spaces. Maps between these spaces are implemented via dimensional reduction. We analyze the emergence of {\em extra} and {\em hidden} symmetries. This analysis is then applied to homogeneous special spaces and the implications for the classification of homogeneous quaternionic spaces are discussed.

10.348688

10.566071

10.167038

9.808317

11.153154

10.762498

10.306794

10.141545

9.735481

11.279746

9.966224

10.164576

9.608591

10.136582

10.075952

9.842318

10.60593

10.316716

10.023036

9.917965

9.55236

0910.4322

Andr\'e Mota

C. W. Morais and A. L. Mota

Momentum Space Regularizations and the Indeterminacy in the Schwinger Model

10 pages, no figures

Int.J.Mod.Phys.A26:1991-2006,2011

10.1142/S0217751X11053067

null

hep-th

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

We revisited the problem of the presence of finite indeterminacies that appear in the calculations of a Quantum Field Theory. We investigate the occurrence of undetermined mathematical quantities in the evaluation of the Schwinger model in several regularization scenarios. We show that the undetermined character of the divergent part of the vacuum polarization tensor of the model, introduced as an {\it ansatz} in previous works, can be obtained mathematically if one introduces a set of two parameters in the evaluation of these quantities. The formal mathematical properties of this tensor and their violations are discussed. The analysis is carried out in both analytical and sharp cutoff regularization procedures. We also show how the Pauli Villars regularization scheme eliminates the indeterminacy, giving a gauge invariant result in the vector Schwinger model.

[ { "created": "Thu, 22 Oct 2009 13:11:14 GMT", "version": "v1" } ]

2011-05-11

[ [ "Morais", "C. W.", "" ], [ "Mota", "A. L.", "" ] ]

We revisited the problem of the presence of finite indeterminacies that appear in the calculations of a Quantum Field Theory. We investigate the occurrence of undetermined mathematical quantities in the evaluation of the Schwinger model in several regularization scenarios. We show that the undetermined character of the divergent part of the vacuum polarization tensor of the model, introduced as an {\it ansatz} in previous works, can be obtained mathematically if one introduces a set of two parameters in the evaluation of these quantities. The formal mathematical properties of this tensor and their violations are discussed. The analysis is carried out in both analytical and sharp cutoff regularization procedures. We also show how the Pauli Villars regularization scheme eliminates the indeterminacy, giving a gauge invariant result in the vector Schwinger model.

13.954217

14.169805

13.870885

12.61356

13.691162

14.592253

14.03254

14.497855

13.632541

14.261349

12.609209

13.504507

13.035218

13.038324

13.431046

13.616598

13.443228

13.531615

13.265266

13.26027

13.29147

hep-th/9608112

Ulf Lindstr\"om

J. Grundberg, U. Lindstrom and M. Rocek

Yang-Mills fields for Cosets

11 pages, LateX. This updates the faulty TeX file which has prevented reading the article on the archive for more than 20 years

Phys.Lett. B389 (1996) 299-304

10.1016/S0370-2693(96)01278-6

ITP-SB-96-39, USITP-96-09

hep-th

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

We consider theories with degenerate kinetic terms such as those that arise at strong coupling in $N=2$ super Yang-Mills theory. We compute the components of generalized $N=1,2$ supersymmetric sigma model actions in two dimensions. The target space coordinates may be matter and/or Yang-Mills superfield strengths.

[ { "created": "Fri, 16 Aug 1996 13:54:43 GMT", "version": "v1" }, { "created": "Thu, 11 May 2017 11:30:42 GMT", "version": "v2" } ]

2017-05-12

[ [ "Grundberg", "J.", "" ], [ "Lindstrom", "U.", "" ], [ "Rocek", "M.", "" ] ]

We consider theories with degenerate kinetic terms such as those that arise at strong coupling in $N=2$ super Yang-Mills theory. We compute the components of generalized $N=1,2$ supersymmetric sigma model actions in two dimensions. The target space coordinates may be matter and/or Yang-Mills superfield strengths.

14.823143

14.350705

17.307598

14.066019

12.808979

15.700767

14.667142

12.286511

14.441034

19.099163

13.825262

14.48978

16.478422

14.88744

14.659564

15.520241

15.117075

13.765664

14.871252

15.640592

13.577982

0909.1152

Daeho Lee

Ee Chang-Young, Kyoungtae Kimm, Daeho Lee, Youngone Lee

Noncommutative Relativistic U(N) Chern-Simons Solitons

10 pages

J.Phys.A43:205401,2010

10.1088/1751-8113/43/20/205401

null

hep-th

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

We investigate BPS soliton solutions of U(N) Chern-Simons gauge theory coupled to a scalar field in noncommutative plane. With a scalar field in the fundamental representation, we show that the BPS equation becomes that of abelian Chern-Simons theory in the unitary gauge. We also find a class of particular solutions for the BPS equation with scalar field in the adjoint representation.

[ { "created": "Mon, 7 Sep 2009 06:52:58 GMT", "version": "v1" } ]

2011-08-09

[ [ "Chang-Young", "Ee", "" ], [ "Kimm", "Kyoungtae", "" ], [ "Lee", "Daeho", "" ], [ "Lee", "Youngone", "" ] ]

We investigate BPS soliton solutions of U(N) Chern-Simons gauge theory coupled to a scalar field in noncommutative plane. With a scalar field in the fundamental representation, we show that the BPS equation becomes that of abelian Chern-Simons theory in the unitary gauge. We also find a class of particular solutions for the BPS equation with scalar field in the adjoint representation.

6.146533

5.296101

6.61018

5.142292

5.458721

5.123567

5.220615

5.110278

5.094081

6.85649

5.360776

5.39501

6.226307

5.547195

5.551065

5.611775

5.29808

5.5221

5.427276

6.176546

5.515008

0908.0987

Kazunori Takenaga

Makoto Sakamoto and Kazunori Takenaga

High Temperature Symmetry Nonrestoration and Inverse Symmetry Breaking on Extra Dimensions

18 pages, 4 figures, version to appear in Phys. Rev. D

Phys.Rev.D80:085016,2009

10.1103/PhysRevD.80.085016

KOBE-TH-09-05

hep-th

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

We study $D$-dimensional gauge theory with an extra dimension of a circle at finite temperature. We mainly focus on the expectation value of the gauge field for the direction of the extra dimension, which is the order parameter of the gauge symmetry breaking. We evaluate the effective potential in the one-loop approximation at finite temperature. We show that the vacuum configuration of the theory at finite temperature is determined by a $(D-1)$-dimensional gauge theory defined by removing the Euclidean time coordinate as well as all of the fermions from the original $D$-dimensional gauge theory on the circle. It is pointed out that gauge symmetry nonrestoration and/or inverse symmetry breaking can occur at high temperature in a class of gauge theories on circles and that phase transitions (if they occur) are, in general, expected to be first order.

[ { "created": "Fri, 7 Aug 2009 06:02:01 GMT", "version": "v1" }, { "created": "Wed, 7 Oct 2009 09:10:26 GMT", "version": "v2" } ]

2009-10-29

[ [ "Sakamoto", "Makoto", "" ], [ "Takenaga", "Kazunori", "" ] ]

We study $D$-dimensional gauge theory with an extra dimension of a circle at finite temperature. We mainly focus on the expectation value of the gauge field for the direction of the extra dimension, which is the order parameter of the gauge symmetry breaking. We evaluate the effective potential in the one-loop approximation at finite temperature. We show that the vacuum configuration of the theory at finite temperature is determined by a $(D-1)$-dimensional gauge theory defined by removing the Euclidean time coordinate as well as all of the fermions from the original $D$-dimensional gauge theory on the circle. It is pointed out that gauge symmetry nonrestoration and/or inverse symmetry breaking can occur at high temperature in a class of gauge theories on circles and that phase transitions (if they occur) are, in general, expected to be first order.

7.365113

7.205063

7.661269

7.03153

7.685635

7.55668

7.304652

7.090809

6.846252

8.0467

7.302014

6.960552

7.13636

6.879292

7.122944

7.203069

6.978083

7.191492

6.86346

7.013597

7.103136

hep-th/0401167

Pei-Ming Ho

Isometry of AdS2 And The c=1 Matrix Model

17 pages, 6 figures

JHEP 0405 (2004) 008

10.1088/1126-6708/2004/05/008

null

hep-th

null

Implications of the SL(2,R) symmetry of the c = 1 matrix models are explored. Based on the work of de Alfaro, Fubini and Furlan, we note that when the Fermi sea is drained, the matrix model for 2 dimensional string theory in the linear dilaton background is equivalent to the matrix model of AdS_2 recently proposed by Strominger, for which SL(2,R) is an isometry. Utilizing its Lie algebra, we find that a topological property of AdS_2 is responsible for quantizing D0-brane charges in type 0A theory. We also show that the matrix model faithfully reflects the relation between the Poincare patch and global coordinates of AdS_2.

[ { "created": "Fri, 23 Jan 2004 04:02:45 GMT", "version": "v1" } ]

2009-11-10

[ [ "Ho", "Pei-Ming", "" ] ]

Implications of the SL(2,R) symmetry of the c = 1 matrix models are explored. Based on the work of de Alfaro, Fubini and Furlan, we note that when the Fermi sea is drained, the matrix model for 2 dimensional string theory in the linear dilaton background is equivalent to the matrix model of AdS_2 recently proposed by Strominger, for which SL(2,R) is an isometry. Utilizing its Lie algebra, we find that a topological property of AdS_2 is responsible for quantizing D0-brane charges in type 0A theory. We also show that the matrix model faithfully reflects the relation between the Poincare patch and global coordinates of AdS_2.

8.966646

8.551051

8.471162

8.160933

8.214638

7.932055

8.334097

8.10557

7.754674

11.60803

7.545287

7.805897

8.480296

7.899795

7.91655

7.698267

7.820401

7.732379

7.891355

8.618361

8.004839

hep-th/0004019

A. I. Pashnev

E.E. Donets, A. Pashnev, V.O. Rivelles, D.Sorokin and M. Tsulaia

N=4 Superconformal Mechanics and the Potential Structure of AdS Spaces

LaTeX, 12 pages

Phys.Lett. B484 (2000) 337-346

10.1016/S0370-2693(00)00670-5

JINR E2-2000-65, DFPD 00/TH/19

hep-th math.DG

null

The dynamics of an N=4 spinning particle in a curved background is described using the N=4 superfield formalism. The $SU(2)_{local}\times SU(2)_{global}$ N=4 superconformal symmetry of the particle action requires the background to be a real "K\"ahler-like" manifold whose metric is generated by a sigma-model superpotential. The anti-de-Sitter spaces are shown to belong to this class of manifolds.

[ { "created": "Tue, 4 Apr 2000 13:17:47 GMT", "version": "v1" }, { "created": "Mon, 17 Apr 2000 07:00:09 GMT", "version": "v2" }, { "created": "Fri, 2 Jun 2000 08:39:10 GMT", "version": "v3" } ]

2009-10-31

[ [ "Donets", "E. E.", "" ], [ "Pashnev", "A.", "" ], [ "Rivelles", "V. O.", "" ], [ "Sorokin", "D.", "" ], [ "Tsulaia", "M.", "" ] ]

The dynamics of an N=4 spinning particle in a curved background is described using the N=4 superfield formalism. The $SU(2)_{local}\times SU(2)_{global}$ N=4 superconformal symmetry of the particle action requires the background to be a real "K\"ahler-like" manifold whose metric is generated by a sigma-model superpotential. The anti-de-Sitter spaces are shown to belong to this class of manifolds.

7.182238

6.766643

7.01284

6.24241

7.086972

6.568992

6.65262

6.465363

6.742587

7.892028

6.587978

6.856555

7.024824

6.879218

6.900479

7.074774

6.882231

6.948837

6.692307

7.206912

6.455379

2406.02342

Sarthak Duary

Sarthak Duary, Sourav Maji

Spectral representation in Klein space: simplifying celestial leaf amplitudes

43 pages, 3 figures, typos and minor errors corrected, matches journal version to appear in JHEP

JHEP 08 (2024) 079

10.1007/JHEP08(2024)079

null

hep-th math-ph math.MP

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

In this paper, we explore the spectral representation in Klein space, which is the split $(2,2)$ signature flat spacetime. The Klein space can be foliated into Lorentzian $\mathrm{AdS}_3 /\mathbb{Z}$ slices, and its identity resolution has continuous and discrete parts. We calculate the identity resolution and the Plancherel measure in these slices. Using the foliation of Klein space into the slices, the identity resolution, and the Plancherel measure in each slice, we compute the spectral representation of the massive bulk-to-bulk propagator in Klein space. It can be expressed as the sum of the product of two massive (or tachyonic) conformal primary wavefunctions, with both continuous and discrete parts, and sharing a common boundary coordinate. An interesting point in Klein space is that, since the identity resolution has discrete and continuous parts, a new type of conformal primary wavefunction naturally arises for the massive (or tachyonic) case. For the conformal primary wavefunctions, both the discrete and continuous parts involve integrating over the common boundary coordinate and the real (or imaginary) mass. The conformal dimension is summed in the discrete part, whereas it is integrated in the continuous part. The spectral representation in Klein space is a computational tool to derive conformal block expansions for celestial amplitudes in Klein space and its building blocks, called celestial leaf amplitudes, by integrating the particle interaction vertex over a single slice of foliation.

[ { "created": "Tue, 4 Jun 2024 14:19:28 GMT", "version": "v1" }, { "created": "Tue, 30 Jul 2024 09:55:20 GMT", "version": "v2" } ]

2024-08-13

[ [ "Duary", "Sarthak", "" ], [ "Maji", "Sourav", "" ] ]

In this paper, we explore the spectral representation in Klein space, which is the split $(2,2)$ signature flat spacetime. The Klein space can be foliated into Lorentzian $\mathrm{AdS}_3 /\mathbb{Z}$ slices, and its identity resolution has continuous and discrete parts. We calculate the identity resolution and the Plancherel measure in these slices. Using the foliation of Klein space into the slices, the identity resolution, and the Plancherel measure in each slice, we compute the spectral representation of the massive bulk-to-bulk propagator in Klein space. It can be expressed as the sum of the product of two massive (or tachyonic) conformal primary wavefunctions, with both continuous and discrete parts, and sharing a common boundary coordinate. An interesting point in Klein space is that, since the identity resolution has discrete and continuous parts, a new type of conformal primary wavefunction naturally arises for the massive (or tachyonic) case. For the conformal primary wavefunctions, both the discrete and continuous parts involve integrating over the common boundary coordinate and the real (or imaginary) mass. The conformal dimension is summed in the discrete part, whereas it is integrated in the continuous part. The spectral representation in Klein space is a computational tool to derive conformal block expansions for celestial amplitudes in Klein space and its building blocks, called celestial leaf amplitudes, by integrating the particle interaction vertex over a single slice of foliation.

9.237264

9.560289

9.615005

8.941667

10.16411

9.526689

9.462728

9.148162

8.851233

10.386864

8.88765

8.956465

9.197261

8.822037

8.95543

8.898401

8.800346

8.564285

8.68343

8.94084

9.07404

hep-th/9502134

Marco Picco

Viktor Dotsenko, Vladimir Dotsenko, Marco Picco and Pierre Pujol

RENORMALIZATION GROUP SOLUTION FOR THE TWO-DIMENSIONAL RANDOM BOND POTTS MODEL WITH BROKEN REPLICA SYMMETRY

10 pages, latex, no figures

null

10.1209/0295-5075/32/5/008

PAR--LPTHE 95/05

hep-th cond-mat hep-lat

null

We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica symmetry. It is argued that the model reaches this universality class if the replica symmetry is broken initially. Otherwise the model stays with the replica symmetric renormalization group flow and reaches the fixed point which has been considered before.

[ { "created": "Wed, 22 Feb 1995 19:13:59 GMT", "version": "v1" } ]

2016-09-06

[ [ "Dotsenko", "Viktor", "" ], [ "Dotsenko", "Vladimir", "" ], [ "Picco", "Marco", "" ], [ "Pujol", "Pierre", "" ] ]

We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica symmetry. It is argued that the model reaches this universality class if the replica symmetry is broken initially. Otherwise the model stays with the replica symmetric renormalization group flow and reaches the fixed point which has been considered before.

13.557725

13.771763

13.49536

12.101299

12.641077

14.683823

13.035492

11.526182

13.487164

14.350318

11.585729

12.75392

13.214974

12.234596

11.959249

12.015657

11.513274

12.13142

11.983289

13.422404

11.587424

2206.04630

Yuya Kusuki

Reflected Entropy in Boundary/Interface Conformal Field Theory

7 pages, 6 figures, for publication (including supplemental results)

null

RIKEN-iTHEMS-Report-22

hep-th quant-ph

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

Boundary conformal field theory (BCFT) and interface conformal field theory (ICFT) attract attention in the context of the information paradox problem. On this background, we develop the idea of the reflected entropy in BCFT/ICFT. We first introduce the left-right reflected entropy (LRRE) in BCFT and show that its holographic dual is given by the area of the entanglement wedge cross section (EWCS) through AdS/BCFT. We also present how to evaluate the reflected entropy in ICFT. By using this technique, we can show the universal behavior of the Markov gap in some special cases. Furthermore, we clarify what is the holographic dual of boundary primary correlation functions by using this LRRE/EWCS duality.

[ { "created": "Thu, 9 Jun 2022 17:24:11 GMT", "version": "v1" }, { "created": "Thu, 16 Jun 2022 06:55:50 GMT", "version": "v2" }, { "created": "Tue, 15 Nov 2022 03:34:52 GMT", "version": "v3" } ]

2022-11-16

[ [ "Kusuki", "Yuya", "" ] ]

Boundary conformal field theory (BCFT) and interface conformal field theory (ICFT) attract attention in the context of the information paradox problem. On this background, we develop the idea of the reflected entropy in BCFT/ICFT. We first introduce the left-right reflected entropy (LRRE) in BCFT and show that its holographic dual is given by the area of the entanglement wedge cross section (EWCS) through AdS/BCFT. We also present how to evaluate the reflected entropy in ICFT. By using this technique, we can show the universal behavior of the Markov gap in some special cases. Furthermore, we clarify what is the holographic dual of boundary primary correlation functions by using this LRRE/EWCS duality.

8.114424

6.792821

9.108895

6.994373

6.744923

6.917503

7.194473

7.045889

6.839944

9.73794

6.781233

7.316731

8.215539

7.263733

7.556824

7.31377

7.221781

7.412846

7.731634

8.061734

7.165563

1002.3981

Nikolay Gromov

Nikolay Gromov, Vladimir Kazakov, Zengo Tsuboi

PSU(2,2|4) Character of Quasiclassical AdS/CFT

40 pages, 6 figures; v2: minor corrections, added a brief discussion of the quantum case

JHEP 1007:097,2010

10.1007/JHEP07(2010)097

OIQP-09-14, LPT ENS-10/06

hep-th math-ph math.MP

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

We solve the recently proposed T- and Y-systems (Hirota equation) for the exact spectrum of AdS/CFT in the strong coupling scaling limit for an arbitrary quasiclassical string state. The corresponding T-functions appear to be super-characters of the SU(2,2|4) group in unitary representations with a highest weight, with the classical AdS5xS5 superstring monodromy matrix as the group element. We propose a concise first Weyl-type formula for these characters and show that they correctly reproduce the results of quasiclassical one-loop quantization in all sectors of the superstring, under some natural assumptions. We also speculate about possible relation between the T-functions and the quantum monodromy matrix.

[ { "created": "Mon, 22 Feb 2010 12:21:13 GMT", "version": "v1" }, { "created": "Sun, 20 Jun 2010 13:15:16 GMT", "version": "v2" } ]

2015-03-13

[ [ "Gromov", "Nikolay", "" ], [ "Kazakov", "Vladimir", "" ], [ "Tsuboi", "Zengo", "" ] ]

We solve the recently proposed T- and Y-systems (Hirota equation) for the exact spectrum of AdS/CFT in the strong coupling scaling limit for an arbitrary quasiclassical string state. The corresponding T-functions appear to be super-characters of the SU(2,2|4) group in unitary representations with a highest weight, with the classical AdS5xS5 superstring monodromy matrix as the group element. We propose a concise first Weyl-type formula for these characters and show that they correctly reproduce the results of quasiclassical one-loop quantization in all sectors of the superstring, under some natural assumptions. We also speculate about possible relation between the T-functions and the quantum monodromy matrix.

12.902822

10.868721

14.656608

10.910508

12.181039

13.281236

11.659674

11.848887

11.461773

15.022735

10.882752

11.497939

12.761928

10.825938

11.368932

11.022689

11.263707

11.484586

11.584077

12.19242

11.296518

hep-th/9510032

L. Sowcire

L. Sow Cir\'e and T. T. Truong

Quantum Group Approach to a soluble vertex model with generalized ice-rule

LaTeX files. 19 pages. Figures included using LaTeX format. Uses uufiles

Int. J. Mod. Phys. A11 (1996) 1747

10.1142/S0217751X96000936

LMPM/95-15

hep-th

null

Using the representation of the quantum group $SL_q$(2) by the Weyl ope\-ra\-tors of the canonical commutation relations in quantum mechanics, we construct and solve a new vertex model on a square lattice. Random variables on horizontal bonds are Ising variables, and those on the vertical bonds take half positive integer values. The vertices is subjected to a genera\-li\-zed form of the so-called ``ice-rule'', its property are studied in details and its free energy calculated with the method of quantum inverse scattering. Remarkably in analogy with the usual six-vertex model, there exists a ``Free-Fermion'' limit with a novel rich operator structure. The existing algebraic structure suggests a possible connection with a lattice neutral plasma of charges, via the Fermion-Boson correspondence.

[ { "created": "Thu, 5 Oct 1995 15:18:54 GMT", "version": "v1" } ]

2015-06-26

[ [ "Ciré", "L. Sow", "" ], [ "Truong", "T. T.", "" ] ]

Using the representation of the quantum group $SL_q$(2) by the Weyl ope\-ra\-tors of the canonical commutation relations in quantum mechanics, we construct and solve a new vertex model on a square lattice. Random variables on horizontal bonds are Ising variables, and those on the vertical bonds take half positive integer values. The vertices is subjected to a genera\-li\-zed form of the so-called ``ice-rule'', its property are studied in details and its free energy calculated with the method of quantum inverse scattering. Remarkably in analogy with the usual six-vertex model, there exists a ``Free-Fermion'' limit with a novel rich operator structure. The existing algebraic structure suggests a possible connection with a lattice neutral plasma of charges, via the Fermion-Boson correspondence.

18.634069

20.285547

22.116856

18.584768

21.793653

21.150316

20.252281

20.510168

20.415497

23.500507

18.867226

17.827297

19.847147

18.044254

18.186089

18.054897

18.039532

18.233976

18.133713

18.441355

17.804718

2307.07504

Alexander Ochirov Dr.

Rafael Aoude and Alexander Ochirov

Gravitational partial-wave absorption from scattering amplitudes

33 pages + appendices + refs, 5 figures; v3 sections rearranged, formulae unchanged, published version

null

IRMP-CP3-23-35

hep-th gr-qc

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

We study gravitational absorption effects using effective on-shell scattering amplitudes. We develop an in-in probability-based framework involving plane- and partial-wave coherent states for the incoming wave to describe the interaction of the wave with a black hole or another compact object. We connect this framework to a simplified single-quantum analysis. The basic ingredients are mass-changing three-point amplitudes, which model the leading absorption effects and a spectral-density function of the black hole. As an application, we consider a non-spinning black hole that may start spinning as a consequence of the dynamics. The corresponding amplitudes are found to correspond to covariant spin-weighted spherical harmonics, the properties of which we formulate and make use of. We perform a matching calculation to general-relativity results at the cross-section level and derive the effective absorptive three-point couplings. They are found to behave as ${\cal O}(G_\text{Newton}^{s+1})$, where $s$ is the spin of the outgoing massive state.

[ { "created": "Fri, 14 Jul 2023 17:55:45 GMT", "version": "v1" }, { "created": "Fri, 21 Jul 2023 15:57:16 GMT", "version": "v2" }, { "created": "Wed, 13 Dec 2023 16:44:35 GMT", "version": "v3" } ]

2023-12-14

[ [ "Aoude", "Rafael", "" ], [ "Ochirov", "Alexander", "" ] ]

We study gravitational absorption effects using effective on-shell scattering amplitudes. We develop an in-in probability-based framework involving plane- and partial-wave coherent states for the incoming wave to describe the interaction of the wave with a black hole or another compact object. We connect this framework to a simplified single-quantum analysis. The basic ingredients are mass-changing three-point amplitudes, which model the leading absorption effects and a spectral-density function of the black hole. As an application, we consider a non-spinning black hole that may start spinning as a consequence of the dynamics. The corresponding amplitudes are found to correspond to covariant spin-weighted spherical harmonics, the properties of which we formulate and make use of. We perform a matching calculation to general-relativity results at the cross-section level and derive the effective absorptive three-point couplings. They are found to behave as ${\cal O}(G_\text{Newton}^{s+1})$, where $s$ is the spin of the outgoing massive state.

16.915455

16.725952

15.717801

14.968598

16.399767

16.558077

17.324379

16.360306

15.830533

18.141275

15.437822

16.165976

16.123363

15.775362

16.335348

16.550056

15.921914

15.690035

16.558594

16.516323

15.837577

1909.12439

Yoji Michishita

First Order Symmetry Operators for the Linearized Field Equation of Metric Perturbations

27 pages, v2: references added

Phys. Rev. D 100, 124052 (2019)

10.1103/PhysRevD.100.124052

null

hep-th gr-qc

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

We determine the general form of the first order linear symmetry operators for the linearized field equation of metric perturbations in the spacetimes of dimension D>=4. Apart from the part derived easily from the invariance under general coordinate transformations, we find a part consisting of a Killing-Yano 3-form.

[ { "created": "Thu, 26 Sep 2019 23:54:34 GMT", "version": "v1" }, { "created": "Mon, 23 Dec 2019 08:33:07 GMT", "version": "v2" } ]

2019-12-25

[ [ "Michishita", "Yoji", "" ] ]

We determine the general form of the first order linear symmetry operators for the linearized field equation of metric perturbations in the spacetimes of dimension D>=4. Apart from the part derived easily from the invariance under general coordinate transformations, we find a part consisting of a Killing-Yano 3-form.

16.34763

12.263885

13.684649

11.816662

12.865003

14.116786

13.532052

11.811265

12.621051

13.672855

12.048277

12.851544

13.172546

13.127519

13.085788

12.154926

12.439494

11.909583

13.345202

13.015891

12.299015

1407.5576

Fabio Riccioni

Gianfranco Pradisi and Fabio Riccioni

Non-geometric orbifolds and wrapping rules

26 pages, 8 tables

null

10.1007/JHEP09(2014)170

ROM2F/2014/08

hep-th

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

We show that the number of half-supersymmetric p-branes in the Type II theories compactified on orbifolds is determined by the wrapping rules recently introduced, provided that one accounts correctly for both geometric and non-geometric T-dual configurations. Starting from the Type II theories compactified on K3, we analyze their toroidal dimensional reductions, showing how the resulting half-supersymmetric p-branes satisfy the wrapping rules only by taking into account all the possible higher-dimensional origins. We then consider Type II theories compactified on the orbifold T^6/(Z_2 \times Z_2 ), whose massless four-dimensional theory is an N=2 supergravity. Again, the wrapping rules are obeyed only if one includes the complete orbit of the T-duality group, namely either Type IIA or Type IIB theories compactified on either the geometric or the non-geometric T-dual orbifold. Finally, we comment on the interpretation of our results in the framework of the duality between the Heterotic string compactified on K3 \times T^2 and the Type II string compactified on a Calabi-Yau threefold.

[ { "created": "Mon, 21 Jul 2014 17:20:04 GMT", "version": "v1" } ]

2015-06-22

[ [ "Pradisi", "Gianfranco", "" ], [ "Riccioni", "Fabio", "" ] ]

We show that the number of half-supersymmetric p-branes in the Type II theories compactified on orbifolds is determined by the wrapping rules recently introduced, provided that one accounts correctly for both geometric and non-geometric T-dual configurations. Starting from the Type II theories compactified on K3, we analyze their toroidal dimensional reductions, showing how the resulting half-supersymmetric p-branes satisfy the wrapping rules only by taking into account all the possible higher-dimensional origins. We then consider Type II theories compactified on the orbifold T^6/(Z_2 \times Z_2 ), whose massless four-dimensional theory is an N=2 supergravity. Again, the wrapping rules are obeyed only if one includes the complete orbit of the T-duality group, namely either Type IIA or Type IIB theories compactified on either the geometric or the non-geometric T-dual orbifold. Finally, we comment on the interpretation of our results in the framework of the duality between the Heterotic string compactified on K3 \times T^2 and the Type II string compactified on a Calabi-Yau threefold.

6.188684

5.785843

6.554973

5.585549

6.01828

5.808932

6.023216

5.503988

5.597333

6.717212

5.613577

5.753674

6.091574

5.896129

5.909741

5.917295

5.963913

5.805419

5.969412

5.978473

5.864785

1612.01964

Allen Stern

A. Chaney and A. Stern

Fuzzy $CP^2$ Space-Times

14 pages, 3 figures

Phys. Rev. D 95, 046001 (2017)

10.1103/PhysRevD.95.046001

null

hep-th gr-qc

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

Four-dimensional manifolds with changing signature are obtained by taking the large $N$ limit of fuzzy $CP^2$ solutions to a Lorentzian matrix model. The regions of Lorentzian signature give toy models of closed universes which exhibit cosmological singularities. These singularities are resolved at finite $N$, as the underlying $CP^2$ solutions are expressed in terms of finite matrix elements.

[ { "created": "Tue, 6 Dec 2016 19:52:02 GMT", "version": "v1" }, { "created": "Sun, 29 Jan 2017 22:00:50 GMT", "version": "v2" } ]

2017-02-08

[ [ "Chaney", "A.", "" ], [ "Stern", "A.", "" ] ]

Four-dimensional manifolds with changing signature are obtained by taking the large $N$ limit of fuzzy $CP^2$ solutions to a Lorentzian matrix model. The regions of Lorentzian signature give toy models of closed universes which exhibit cosmological singularities. These singularities are resolved at finite $N$, as the underlying $CP^2$ solutions are expressed in terms of finite matrix elements.

12.685794

10.150706

10.924479

9.868399

9.555276

10.184042

10.532605

8.796082

9.485036

12.708259

9.062123

10.299981

11.041265

10.057749

9.780306

10.035336

10.925744

9.893241

10.236521

11.359834

9.898879

1210.0569

Alberto Nicolis

Solomon Endlich, Alberto Nicolis, and Junpu Wang

Solid Inflation

51 pages (42 pages main text; 9 pages Appendix)

null

10.1088/1475-7516/2013/10/011

null

hep-th astro-ph.CO gr-qc

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

We develop a cosmological model where primordial inflation is driven by a 'solid', defined as a system of three derivatively coupled scalar fields obeying certain symmetries and spontaneously breaking a certain subgroup of these. The symmetry breaking pattern differs drastically from that of standard inflationary models: time translations are unbroken. This prevents our model from fitting into the standard effective field theory description of adiabatic perturbations, with crucial consequences for the dynamics of cosmological perturbations. Most notably, non-gaussianities in the curvature perturbations are unusually large, with f_NL ~ 1/(\epsilon.c_s^2), and have a novel shape: peaked in the squeezed limit, with anisotropic dependence on how the limit is approached. Other unusual features include the absence of adiabatic fluctuation modes during inflation---which does not impair their presence and near scale-invariance after inflation---and a slightly blue tilt for the tensor modes.

[ { "created": "Mon, 1 Oct 2012 20:40:38 GMT", "version": "v1" } ]

2015-06-11

[ [ "Endlich", "Solomon", "" ], [ "Nicolis", "Alberto", "" ], [ "Wang", "Junpu", "" ] ]

We develop a cosmological model where primordial inflation is driven by a 'solid', defined as a system of three derivatively coupled scalar fields obeying certain symmetries and spontaneously breaking a certain subgroup of these. The symmetry breaking pattern differs drastically from that of standard inflationary models: time translations are unbroken. This prevents our model from fitting into the standard effective field theory description of adiabatic perturbations, with crucial consequences for the dynamics of cosmological perturbations. Most notably, non-gaussianities in the curvature perturbations are unusually large, with f_NL ~ 1/(\epsilon.c_s^2), and have a novel shape: peaked in the squeezed limit, with anisotropic dependence on how the limit is approached. Other unusual features include the absence of adiabatic fluctuation modes during inflation---which does not impair their presence and near scale-invariance after inflation---and a slightly blue tilt for the tensor modes.

9.166547

10.594216

10.92823

9.311348

10.036708

10.184081

10.133859

9.251113

9.691686

10.463278

9.825315

9.820254

9.834098

9.716812

9.44021

9.721794

9.476062

9.924011

9.454179

10.182696

9.551583

hep-th/0108161

Jan de Boer

Jan de Boer and Koenraad Schalm

General covariance of the non-abelian DBI-action

latex, 38 pages

JHEP 0302 (2003) 041

10.1088/1126-6708/2003/02/041

null

hep-th

null

In this paper we study the action for N D0-branes in a curved background. In particular, we focus on the meaning of space-time diffeomorphism invariance. For a single D-brane, diffeomorphism invariance acts in a naive way on the world-volume fields, but for multiple D-branes, the meaning of diffeomorphism invariance is much more obscure. The problem goes beyond the determination of an ordering of the U(N)-valued fields, because one can show that there is no lift of ordinary diffeomorphisms to matrix-valued diffeomorphisms. On the other hand, the action can presumably be constructed from perturbative string theory calculations. Based on the general characteristics of such calculations we determine a set of constraints on the action for N D0-branes, that ensure space-time covariance. These constraints can be solved order by order, but they are insufficient to determine the action completely. All solutions to the constraints obey the axioms of D-geometry. Moreover the action must contain new terms. This exhibits clearly that the answer is more than a suitable ordering of the action of a single D0 brane.

[ { "created": "Wed, 22 Aug 2001 11:25:59 GMT", "version": "v1" } ]

2015-06-26

[ [ "de Boer", "Jan", "" ], [ "Schalm", "Koenraad", "" ] ]

In this paper we study the action for N D0-branes in a curved background. In particular, we focus on the meaning of space-time diffeomorphism invariance. For a single D-brane, diffeomorphism invariance acts in a naive way on the world-volume fields, but for multiple D-branes, the meaning of diffeomorphism invariance is much more obscure. The problem goes beyond the determination of an ordering of the U(N)-valued fields, because one can show that there is no lift of ordinary diffeomorphisms to matrix-valued diffeomorphisms. On the other hand, the action can presumably be constructed from perturbative string theory calculations. Based on the general characteristics of such calculations we determine a set of constraints on the action for N D0-branes, that ensure space-time covariance. These constraints can be solved order by order, but they are insufficient to determine the action completely. All solutions to the constraints obey the axioms of D-geometry. Moreover the action must contain new terms. This exhibits clearly that the answer is more than a suitable ordering of the action of a single D0 brane.

8.373985

8.017534

8.194442

8.205186

8.380497

8.157807

8.346205

8.05007

8.136673

8.627948

7.951516

7.958184

7.932946

7.805154

8.027976

7.906124

8.067233

8.016687

7.939621

8.127275

7.978122

2408.01608

Harold Blas

H. Blas and R. Quica\~no

Fermionic back-reaction on kink and topological charge pumping in the $sl(2)$ affine Toda coupled to matter

31 pages. Latex. 6 Figs

null

hep-th

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

We explore the Faddeev-Jackiw symplectic Hamiltonian reduction of the $sl(2)$ affine Toda model coupled to matter (ATM), which includes new parametrizations for a scalar field and a Grassmannian fermionic field. The structure of constraints and symplectic potentials primarily dictates the strong-weak dual coupling sectors of the theory, ensuring the equivalence of the Noether and topological currents. It is computed analytical fermion excited bound states localized on the kink, accounting for back-reaction. The total energy depends on the topological charge parameters for kink-fermion system satisfying first order differential equations and chiral current conservation equation. Our results demonstrate that the excited fermion bound states significantly alter the properties of the kink, and notably resulting in a pumping mechanism for the topological charge of the in-gap kink due to fermionic back-reaction, as well as the appearance of kink states in the continuum (KIC).

[ { "created": "Fri, 2 Aug 2024 23:58:25 GMT", "version": "v1" } ]

2024-08-06

[ [ "Blas", "H.", "" ], [ "Quicaño", "R.", "" ] ]

We explore the Faddeev-Jackiw symplectic Hamiltonian reduction of the $sl(2)$ affine Toda model coupled to matter (ATM), which includes new parametrizations for a scalar field and a Grassmannian fermionic field. The structure of constraints and symplectic potentials primarily dictates the strong-weak dual coupling sectors of the theory, ensuring the equivalence of the Noether and topological currents. It is computed analytical fermion excited bound states localized on the kink, accounting for back-reaction. The total energy depends on the topological charge parameters for kink-fermion system satisfying first order differential equations and chiral current conservation equation. Our results demonstrate that the excited fermion bound states significantly alter the properties of the kink, and notably resulting in a pumping mechanism for the topological charge of the in-gap kink due to fermionic back-reaction, as well as the appearance of kink states in the continuum (KIC).

15.741738

14.649679

17.326944

15.051043

15.441147

16.264914

15.043588

14.989107

14.487597

17.655718

14.713167

14.805659

15.731758

14.714458

14.531472

14.537044

15.148994

14.379501

14.819415

16.585224

14.787904

hep-th/9705112

Pierre van Baal

Intermediate Volumes and the Role of Instantons

7p LaTeX, 3 figs. Talk at the workshop "New non-perturbative methods and quantization on the light cone", Les Houches, 24 Feb-7 March, 1997

null

IN97025NQF, INLO-PUB-4/97

hep-th

null

We review recent results for the low-lying glueball spectrum on the three-sphere in intermediate volumes that incorporate instanton effects. The latter are implemented through boundary conditions on the fundamental domain obtained by minimising the norm of the gauge field along the gauge orbit. Non-perturbative corrections due to the boundary conditions in field space are seen to be crucial.

[ { "created": "Thu, 15 May 1997 09:42:29 GMT", "version": "v1" } ]

2007-05-23

[ [ "van Baal", "Pierre", "" ] ]

We review recent results for the low-lying glueball spectrum on the three-sphere in intermediate volumes that incorporate instanton effects. The latter are implemented through boundary conditions on the fundamental domain obtained by minimising the norm of the gauge field along the gauge orbit. Non-perturbative corrections due to the boundary conditions in field space are seen to be crucial.

20.107376

14.880911

21.112309

15.27737

16.461061

15.187085

16.861876

14.911187

14.608273

21.048182

15.962755

15.463394

18.582956

16.89805

16.45223

16.791471

15.625016

15.560278

16.824512

17.800648

15.151891

hep-th/0201117

Won Tae Kim

Won Tae Kim, John J. Oh, and Ki Hyuk Yee

Scattering amplitudes and thermal temperatures of the Schwarzschild-de Sitter black holes

15pages, 1figure, Some discussions are added, To Appear in Phys. Rev. D

Phys.Rev. D66 (2002) 044017

10.1103/PhysRevD.66.044017

SOGANG-HEP 291/01

hep-th

null

We study thermodynamic evaporation of Schwarzschild-de Sitter black holes in terms of a low energy perturbation theory. A small black hole which is far from the cosmological horizon and observers at the spacelike hypersurface where black hole attraction and expansion of cosmological horizon balance exactly are considered. In the low energy perturbation, scalar field equations are solved in both regions of the hypersurface and scattering amplitudes are derived. And then the desired thermal temperatures from the two horizons are obtained as a ``minimal'' value of the statistical thermal temperature, and the fine-tuning between amplitudes gives a relation of the two temperatures.

[ { "created": "Wed, 16 Jan 2002 05:23:13 GMT", "version": "v1" }, { "created": "Mon, 8 Jul 2002 07:01:19 GMT", "version": "v2" } ]

2009-11-07

[ [ "Kim", "Won Tae", "" ], [ "Oh", "John J.", "" ], [ "Yee", "Ki Hyuk", "" ] ]

We study thermodynamic evaporation of Schwarzschild-de Sitter black holes in terms of a low energy perturbation theory. A small black hole which is far from the cosmological horizon and observers at the spacelike hypersurface where black hole attraction and expansion of cosmological horizon balance exactly are considered. In the low energy perturbation, scalar field equations are solved in both regions of the hypersurface and scattering amplitudes are derived. And then the desired thermal temperatures from the two horizons are obtained as a ``minimal'' value of the statistical thermal temperature, and the fine-tuning between amplitudes gives a relation of the two temperatures.

16.568661

17.230579

14.930842

14.804149

15.320354

14.829608

17.926773

14.456843

14.588236

15.053913

15.672228

15.20557

14.96209

14.63539

14.971115

15.29566

15.000373

14.751961

15.8045

14.654272

14.917982

2201.10264

Sanchari Pal

Finite temperature corrections to black hole quasinormal modes from 2D CFT

null

10.1007/JHEP08(2022)150

null

hep-th

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

We revisit the holographic calculation of the decay modes of the BTZ blackhole perturbed by a scalar probe. We carry out a finite temperature expansion of the torus two point function of large central charge $(c)$ CFTs in order to obtain the corrections to blackhole quasinormal modes. We take the contribution of the lightest primary above the vacuum, with dimension $\Delta_{\chi}$ and upper bound of $c/6$, in the torus two point function. We exploit the modular properties of 2D CFT on the torus to connect the expression of thermal two point function at high temperature with the same at low temperature. The correction term can be expressed as a four point function on the Riemann sphere. In the dual bulk theory the corrections are expected to arise due to the presence of a light matter field in the spacetime along with gravity. In the holographic limit the effects of this correction term is encoded in the change in blackhole temperature. This leads to new quasinormal modes and modification of thermalization time scale.

[ { "created": "Tue, 25 Jan 2022 12:19:24 GMT", "version": "v1" } ]

2022-09-07

[ [ "Pal", "Sanchari", "" ] ]

We revisit the holographic calculation of the decay modes of the BTZ blackhole perturbed by a scalar probe. We carry out a finite temperature expansion of the torus two point function of large central charge $(c)$ CFTs in order to obtain the corrections to blackhole quasinormal modes. We take the contribution of the lightest primary above the vacuum, with dimension $\Delta_{\chi}$ and upper bound of $c/6$, in the torus two point function. We exploit the modular properties of 2D CFT on the torus to connect the expression of thermal two point function at high temperature with the same at low temperature. The correction term can be expressed as a four point function on the Riemann sphere. In the dual bulk theory the corrections are expected to arise due to the presence of a light matter field in the spacetime along with gravity. In the holographic limit the effects of this correction term is encoded in the change in blackhole temperature. This leads to new quasinormal modes and modification of thermalization time scale.

10.608324

10.882837

11.701068

9.883852

10.325853

10.119824

11.0998

9.99611

9.839005

11.620433

10.123393

10.42476

11.115229

10.316336

10.46143

10.679337

10.670994

9.934726

10.665904

11.324986

10.182685

hep-th/9402023

Luca Lusanna. Sez. Di Firenze

Luca Lusanna

Dirac's Observables for Yang-Mills Theory with Fermions

(e-mail: lusanna@fi.infn.it), 180 p., plain tex

Int.J.Mod.Phys.A10:3675-3757,1995

10.1142/S0217751X95001753

FI-100

hep-th

null

A canonical basis of global Dirac's observables for Yang-Mills theory with fermions are obtained in a functional space in which Gribov ambiguity is absent and Gauss' laws can be solved exactly. In terms of these observables, one can express the Lagrangian, the Hamiltonian, non-Abelian and topological charges. The problem of the covariantization of these non-local and non-polynomial quantities is solved. From a relativistic presymplectic approach to the localization of the relativistic center-of-mass of the field configuration, a ultraviolet cutoff is deduced.

[ { "created": "Thu, 3 Feb 1994 17:36:08 GMT", "version": "v1" } ]

2010-11-01

[ [ "Lusanna", "Luca", "" ] ]

A canonical basis of global Dirac's observables for Yang-Mills theory with fermions are obtained in a functional space in which Gribov ambiguity is absent and Gauss' laws can be solved exactly. In terms of these observables, one can express the Lagrangian, the Hamiltonian, non-Abelian and topological charges. The problem of the covariantization of these non-local and non-polynomial quantities is solved. From a relativistic presymplectic approach to the localization of the relativistic center-of-mass of the field configuration, a ultraviolet cutoff is deduced.

14.013049

13.246302

13.626932

12.526246

13.616936

13.715682

13.839104

12.484799

12.311673

13.865869

12.459642

12.531135

12.538041

12.605614

12.867892

12.23574

12.554398

12.175651

12.311618

13.088902

12.737418

1109.0640

M. Mendoza

D. Hupp, M. Mendoza, I. Bouras, S. Succi, H. J. Herrmann

On the relativistic Lattice Boltzmann method for quark-gluon plasma simulations

10 pages, 16 Figures

Phys. Rev. D 84, 125015 (2011)

10.1103/PhysRevD.84.125015

null

hep-th

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

In this paper, we investigate the recently developed lattice Boltzmann model for relativistic hydrodynamics. To this purpose, we perform simulations of shock waves in quark-gluon plasma in the low and high viscosities regime, using three different computational models, the relativistic lattice Boltzmann (RLB), the Boltzmann Approach Multi-Parton Scattering (BAMPS), and the viscous sharp and smooth transport algorithm (vSHASTA). From the results, we conclude that the RLB model departs from BAMPS in the case of high speeds and high temperature(viscosities), the departure being due to the fact that the RLB is based on a quadratic approximation of the Maxwell-J\"uttner distribution, which is only valid for sufficiently low temperature and velocity. Furthermore, we have investigated the influence of the lattice speed on the results, and shown that inclusion of quadratic terms in the equilibrium distribution improves the stability of the method within its domain of applicability. Finally, we assess the viability of the RLB model in the various parameter regimes relevant to ultra-relativistic fluid dynamics.

[ { "created": "Sat, 3 Sep 2011 17:34:52 GMT", "version": "v1" }, { "created": "Mon, 12 Sep 2011 18:27:36 GMT", "version": "v2" } ]

2012-02-01

[ [ "Hupp", "D.", "" ], [ "Mendoza", "M.", "" ], [ "Bouras", "I.", "" ], [ "Succi", "S.", "" ], [ "Herrmann", "H. J.", "" ] ]

In this paper, we investigate the recently developed lattice Boltzmann model for relativistic hydrodynamics. To this purpose, we perform simulations of shock waves in quark-gluon plasma in the low and high viscosities regime, using three different computational models, the relativistic lattice Boltzmann (RLB), the Boltzmann Approach Multi-Parton Scattering (BAMPS), and the viscous sharp and smooth transport algorithm (vSHASTA). From the results, we conclude that the RLB model departs from BAMPS in the case of high speeds and high temperature(viscosities), the departure being due to the fact that the RLB is based on a quadratic approximation of the Maxwell-J\"uttner distribution, which is only valid for sufficiently low temperature and velocity. Furthermore, we have investigated the influence of the lattice speed on the results, and shown that inclusion of quadratic terms in the equilibrium distribution improves the stability of the method within its domain of applicability. Finally, we assess the viability of the RLB model in the various parameter regimes relevant to ultra-relativistic fluid dynamics.

8.250087

9.347814

8.361694

8.351515

8.938493

10.082502

8.613585

9.459867

8.277925

8.894432

8.038679

8.074532

7.839834

7.840014

8.185412

8.187181

7.795166

8.11215

8.145309

8.007158

7.78832

hep-th/0603098

Christian Saemann

Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory

PhD thesis, 280 pages, 9 figures

null

hep-th

null

In this thesis, we report on results in non-anticommutative field theory and twistor string theory, trying to be self-contained. We first review the construction of non-anticommutative N=4 super Yang-Mills theory and discuss a Drinfeld-twist which allows to regain a twisted supersymmetry in the non-anticommutative setting. This symmetry then leads to twisted chiral rings and supersymmetric Ward-Takahashi identities, which, when combined with the usual naturalness argument by Seiberg, could yield non-renormalization theorems for non-anticommutative field theories. The major part of this thesis consists of a discussion of various geometric aspects of the Penrose-Ward transform. We present in detail the case of N=4 super Yang-Mills theory and its self-dual truncation. Furthermore, we study reductions of the supertwistor space to exotic supermanifolds having even nilpotent dimensions as well as dimensional reductions to mini-supertwistor and mini-superambitwistor spaces. Eventually, we present two pairs of matrix models in the context of twistor string theory, and find a relation between the ADHM- and Nahm-constructions and topological D-brane configurations.

[ { "created": "Mon, 13 Mar 2006 11:00:12 GMT", "version": "v1" } ]

2007-05-23

[ [ "Saemann", "Christian", "" ] ]

In this thesis, we report on results in non-anticommutative field theory and twistor string theory, trying to be self-contained. We first review the construction of non-anticommutative N=4 super Yang-Mills theory and discuss a Drinfeld-twist which allows to regain a twisted supersymmetry in the non-anticommutative setting. This symmetry then leads to twisted chiral rings and supersymmetric Ward-Takahashi identities, which, when combined with the usual naturalness argument by Seiberg, could yield non-renormalization theorems for non-anticommutative field theories. The major part of this thesis consists of a discussion of various geometric aspects of the Penrose-Ward transform. We present in detail the case of N=4 super Yang-Mills theory and its self-dual truncation. Furthermore, we study reductions of the supertwistor space to exotic supermanifolds having even nilpotent dimensions as well as dimensional reductions to mini-supertwistor and mini-superambitwistor spaces. Eventually, we present two pairs of matrix models in the context of twistor string theory, and find a relation between the ADHM- and Nahm-constructions and topological D-brane configurations.

8.026244

8.219267

9.35264

8.15702

8.137754

7.869226

8.00921

7.621473

7.525159

9.552212

8.111734

7.897208

8.386709

7.709515

7.704935

7.861981

7.980388

7.750656

7.90486

8.409003

7.878456

hep-th/0701067

Robert de Mello Koch

Robert de Mello Koch, Jelena Smolic and Milena Smolic

Giant Gravitons - with Strings Attached (II)

44 pages plus appendices; v2: minor corrections, references added; v3: presentation improved; v4: Final JHEP version

JHEP 0709:049,2007

10.1088/1126-6708/2007/09/049

WITS-CTP-032

hep-th

null

We study the one-loop anomalous dimensions of operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open strings ending on giant gravitons. We consider both AdS and sphere giants as well as boundstates of them. The open strings we consider carry angular momentum on an S^3 embedded in the S^5 of the AdS$_5\times$S^5 background. The main result of this article is that we derive a bosonic lattice Hamiltonian that describes the one loop mixing of the operators dual to the general excited giant graviton system. A semiclassical analysis of the Hamiltonian allows us to give a geometrical interpretation for the labeling used to describe the gauge theory operators. We also argue that AdS giant gravitons are unstable against the excitations considered.

[ { "created": "Tue, 9 Jan 2007 04:51:29 GMT", "version": "v1" }, { "created": "Thu, 12 Jul 2007 03:18:20 GMT", "version": "v2" }, { "created": "Fri, 10 Aug 2007 05:56:43 GMT", "version": "v3" }, { "created": "Mon, 3 Sep 2007 16:08:04 GMT", "version": "v4" } ]

2009-01-30

[ [ "Koch", "Robert de Mello", "" ], [ "Smolic", "Jelena", "" ], [ "Smolic", "Milena", "" ] ]

We study the one-loop anomalous dimensions of operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open strings ending on giant gravitons. We consider both AdS and sphere giants as well as boundstates of them. The open strings we consider carry angular momentum on an S^3 embedded in the S^5 of the AdS$_5\times$S^5 background. The main result of this article is that we derive a bosonic lattice Hamiltonian that describes the one loop mixing of the operators dual to the general excited giant graviton system. A semiclassical analysis of the Hamiltonian allows us to give a geometrical interpretation for the labeling used to describe the gauge theory operators. We also argue that AdS giant gravitons are unstable against the excitations considered.

7.41152

6.502909

8.667071

6.790603

7.009661

6.854969

6.690425

6.577175

6.804456

8.914648

6.72047

6.543209

8.160801

7.032282

6.983796

6.776873

6.914667

6.870035

6.980562

7.945874

6.970624

2008.00435

Paul Sutcliffe

Spectral curves of hyperbolic monopoles from ADHM

15 pages

J.Phys.A 54, 165401 (2021)

10.1088/1751-8121/abe5cc

DCPT-20/07

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

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

Magnetic monopoles in hyperbolic space are in correspondence with certain algebraic curves in mini-twistor space, known as spectral curves, which are in turn in correspondence with rational maps between Riemann spheres. Hyperbolic monopoles correspond to circle-invariant Yang-Mills instantons, with an identification of the monopole and instanton numbers, providing the curvature of hyperbolic space is tuned to a value specified by the asymptotic magnitude of the Higgs field. In previous work, constraints on ADHM instanton data have been identified that provide a non-canonical realization of the circle symmetry that preserves the standard action of rotations in the ball model of hyperbolic space. Here formulae are presented for the spectral curve and the rational map of a hyperbolic monopole in terms of its constrained ADHM matrix. This extends earlier results that apply only to the subclass of instantons of JNR type. The formulae are applied to obtain new explicit examples of spectral curves that are beyond the JNR class.

[ { "created": "Sun, 2 Aug 2020 09:04:53 GMT", "version": "v1" }, { "created": "Fri, 26 Mar 2021 17:19:25 GMT", "version": "v2" } ]

2021-03-29

[ [ "Sutcliffe", "Paul", "" ] ]

Magnetic monopoles in hyperbolic space are in correspondence with certain algebraic curves in mini-twistor space, known as spectral curves, which are in turn in correspondence with rational maps between Riemann spheres. Hyperbolic monopoles correspond to circle-invariant Yang-Mills instantons, with an identification of the monopole and instanton numbers, providing the curvature of hyperbolic space is tuned to a value specified by the asymptotic magnitude of the Higgs field. In previous work, constraints on ADHM instanton data have been identified that provide a non-canonical realization of the circle symmetry that preserves the standard action of rotations in the ball model of hyperbolic space. Here formulae are presented for the spectral curve and the rational map of a hyperbolic monopole in terms of its constrained ADHM matrix. This extends earlier results that apply only to the subclass of instantons of JNR type. The formulae are applied to obtain new explicit examples of spectral curves that are beyond the JNR class.

9.315811

9.56847

11.19235

9.248202

9.738246

10.277549

9.097722

9.041783

9.271202

11.158527

8.969129

9.119728

9.14167

8.879064

9.324639

8.992834

9.089015

8.826663

8.9554

9.261068

8.687074

2010.08882

Pierre Vanhove

Stavros Mougiakakos and Pierre Vanhove

The Schwarzschild-Tangherlini metric from scattering amplitudes in various dimensions

latex. 44 pages. v2 : several minor corrections. Version to appear in Phys. Rev. D

Phys. Rev. D 103, 026001 (2021)

10.1103/PhysRevD.103.026001

IPhT-t20/053, CERN-TH-2020-168

hep-th gr-qc

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

We derive the static Schwarzschild-Tangherlini metric by extracting the classical contributions from the multi-loop vertex functions of a graviton emitted from a massive scalar field. At each loop orders the classical contribution is proportional to a unique master integral given by the massless sunset integral. By computing the scattering amplitudes up to three-loop order in general dimension, we explicitly derive the expansion of the metric up to the fourth post-Minkowskian order $O(G_N^4)$ in four, five and six dimensions. There are ultraviolet divergences that are cancelled with the introduction of higher-derivative non-minimal couplings. The standard Schwarzschild-Tangherlini is recovered by absorbing their effects by an appropriate coordinate transformation induced from the de Donder gauge condition.

[ { "created": "Sat, 17 Oct 2020 22:41:26 GMT", "version": "v1" }, { "created": "Sun, 20 Dec 2020 11:05:34 GMT", "version": "v2" } ]

2021-01-13

[ [ "Mougiakakos", "Stavros", "" ], [ "Vanhove", "Pierre", "" ] ]

We derive the static Schwarzschild-Tangherlini metric by extracting the classical contributions from the multi-loop vertex functions of a graviton emitted from a massive scalar field. At each loop orders the classical contribution is proportional to a unique master integral given by the massless sunset integral. By computing the scattering amplitudes up to three-loop order in general dimension, we explicitly derive the expansion of the metric up to the fourth post-Minkowskian order $O(G_N^4)$ in four, five and six dimensions. There are ultraviolet divergences that are cancelled with the introduction of higher-derivative non-minimal couplings. The standard Schwarzschild-Tangherlini is recovered by absorbing their effects by an appropriate coordinate transformation induced from the de Donder gauge condition.

9.152596

9.639487

9.114389

8.666007

9.927599

9.754736

8.870485

9.146144

8.988496

10.19898

9.264132

8.142278

8.526533

8.631242

8.180905

8.361883

8.45394

8.619853

8.611059

8.428369

8.619323

1105.5000

Haiqing Zhang

Rong-Gen Cai, Xi He, Huai-Fan Li, Hai-Qing Zhang

Phase transitions in AdS soliton spacetime through marginally stable modes

14 pages, 3 figures; Minor changes are made

Phys.Rev.D84:046001,2011

10.1103/PhysRevD.84.046001

null

hep-th gr-qc

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

We investigate the marginally stable modes of the scalar (vector) perturbations in the AdS soliton background coupled to electric field. In the probe limit, we find that the marginally stable modes can reveal the onset of the phase transitions of this model. The critical chemical potentials obtained from this approach are in good agreement with the previous numerical or analytical results.

[ { "created": "Wed, 25 May 2011 12:22:42 GMT", "version": "v1" }, { "created": "Mon, 18 Jul 2011 08:22:56 GMT", "version": "v2" } ]

2015-03-19

[ [ "Cai", "Rong-Gen", "" ], [ "He", "Xi", "" ], [ "Li", "Huai-Fan", "" ], [ "Zhang", "Hai-Qing", "" ] ]

We investigate the marginally stable modes of the scalar (vector) perturbations in the AdS soliton background coupled to electric field. In the probe limit, we find that the marginally stable modes can reveal the onset of the phase transitions of this model. The critical chemical potentials obtained from this approach are in good agreement with the previous numerical or analytical results.

10.742689

7.304055

11.014382

8.621012

9.10813

8.329638

8.779825

8.644371

8.442465

10.679897

8.875346

9.401505

10.066436

9.316718

8.82837

9.412809

8.998793

9.08562

9.86136

9.771062

9.282043

2004.05656

John Roughley

Daniel Elander, Maurizio Piai, John Roughley

Probing the holographic dilaton

38 pages, 7 figures. Fig. 4 and 5 replaced with more accurate numerical results. Typo in Eq. (3.24) fixed. Results unaffected and discussions unchanged

null

10.1007/JHEP06(2020)177

null

hep-th hep-lat hep-ph

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

Many strongly coupled field theories admit a spectrum of gauge-invariant bound states that includes scalar particles with the same quantum numbers as the vacuum. The challenge naturally arises of how to characterise them. In particular, how can a dilaton---the pseudo-Nambu-Goldstone boson associated with approximate scale invariance---be distinguished from other generic light scalars with the same quantum numbers? We address this problem within the context of gauge-gravity dualities, by analysing the fluctuations of the higher-dimensional gravitational theory. The diagnostic test that we propose consists of comparing the results of the complete calculation, performed by using gauge-invariant fluctuations in the bulk, with the results obtained in the probe approximation. While the former captures the mixing between scalar and metric degrees of freedom, the latter removes by hand the fluctuations that source the dilatation operator of the boundary field-theory. Hence, the probe approximation cannot capture a possible light dilaton, while it should fare well for other scalar particles. We test this idea on a number of holographic models, among which are some of the best known, complete gravity backgrounds constructed within the top-down approach to gauge-gravity dualities. We compute the spectra of scalar and tensor fluctuations, that are interpreted as bound states (glueballs) of the dual field theory, and we highlight those cases in which the probe approximation yields results close to the correct physical ones, as well as those cases where significant discrepancies emerge. We interpret the latter occurrence as an indication that identifying one of the lightest scalar states with the dilaton is legitimate, at least as a leading-order approximation.

[ { "created": "Sun, 12 Apr 2020 17:38:03 GMT", "version": "v1" }, { "created": "Mon, 8 Jun 2020 14:38:39 GMT", "version": "v2" }, { "created": "Fri, 23 Oct 2020 09:47:43 GMT", "version": "v3" } ]

2020-10-26

[ [ "Elander", "Daniel", "" ], [ "Piai", "Maurizio", "" ], [ "Roughley", "John", "" ] ]

Many strongly coupled field theories admit a spectrum of gauge-invariant bound states that includes scalar particles with the same quantum numbers as the vacuum. The challenge naturally arises of how to characterise them. In particular, how can a dilaton---the pseudo-Nambu-Goldstone boson associated with approximate scale invariance---be distinguished from other generic light scalars with the same quantum numbers? We address this problem within the context of gauge-gravity dualities, by analysing the fluctuations of the higher-dimensional gravitational theory. The diagnostic test that we propose consists of comparing the results of the complete calculation, performed by using gauge-invariant fluctuations in the bulk, with the results obtained in the probe approximation. While the former captures the mixing between scalar and metric degrees of freedom, the latter removes by hand the fluctuations that source the dilatation operator of the boundary field-theory. Hence, the probe approximation cannot capture a possible light dilaton, while it should fare well for other scalar particles. We test this idea on a number of holographic models, among which are some of the best known, complete gravity backgrounds constructed within the top-down approach to gauge-gravity dualities. We compute the spectra of scalar and tensor fluctuations, that are interpreted as bound states (glueballs) of the dual field theory, and we highlight those cases in which the probe approximation yields results close to the correct physical ones, as well as those cases where significant discrepancies emerge. We interpret the latter occurrence as an indication that identifying one of the lightest scalar states with the dilaton is legitimate, at least as a leading-order approximation.

8.517058

9.175737

8.605182

8.102571

9.167369

9.103354

8.839322

9.05549

8.436659

9.310591

8.919133

8.487196

8.306632

8.313276

8.56185

8.42864

8.2824

8.326445

8.366163

8.359149

8.488648

1407.5580

Michele Maggiore

Giulia Cusin, Jacopo Fumagalli and Michele Maggiore

Non-local formulation of ghost-free bigravity theory

16 pages

null

10.1007/JHEP09(2014)181

null

hep-th gr-qc

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

We study the ghost-free bimetric theory of Hassan and Rosen, with parameters $\beta_i$ such that a flat Minkowski solution exists for both metrics. We show that, expanding around this solution and eliminating one of the two metrics with its own equation of motion, the remaining metric is governed by the Einstein-Hilbert action plus a non-local term proportional to $W_{\mu\nu\rho\sigma} (\Box-m^2)^{-1}W^{\mu\nu\rho\sigma}$, where $W_{\mu\nu\rho\sigma}$ is the Weyl tensor. The result is valid to quadratic order in the metric perturbation and to all orders in the derivative expansion. This example shows, in a simple setting, how such non-local extensions of GR can emerge from an underlying consistent theory, at the purely classical level.

[ { "created": "Mon, 21 Jul 2014 17:37:05 GMT", "version": "v1" } ]

2015-06-22

[ [ "Cusin", "Giulia", "" ], [ "Fumagalli", "Jacopo", "" ], [ "Maggiore", "Michele", "" ] ]

We study the ghost-free bimetric theory of Hassan and Rosen, with parameters $\beta_i$ such that a flat Minkowski solution exists for both metrics. We show that, expanding around this solution and eliminating one of the two metrics with its own equation of motion, the remaining metric is governed by the Einstein-Hilbert action plus a non-local term proportional to $W_{\mu\nu\rho\sigma} (\Box-m^2)^{-1}W^{\mu\nu\rho\sigma}$, where $W_{\mu\nu\rho\sigma}$ is the Weyl tensor. The result is valid to quadratic order in the metric perturbation and to all orders in the derivative expansion. This example shows, in a simple setting, how such non-local extensions of GR can emerge from an underlying consistent theory, at the purely classical level.

5.135097

5.317213

5.124499

4.774055

5.230642

5.116378

5.243586

4.715651

4.883499

5.167165

4.946142

4.752431

4.854062

4.701586

4.793807

4.78868

4.806924

4.856804

4.70139

4.795964

4.682288

0901.3753

Pedro Vieira G.

Nikolay Gromov, Vladimir Kazakov, Pedro Vieira

Integrability for the Full Spectrum of Planar AdS/CFT

5 pages, 2 figures. v2: Typos corrected, references added, wrapping effects in AdS4/CFP3 corrected, v3: Typos corrected

Phys.Rev.Lett.103:131601,2009

10.1103/PhysRevLett.103.131601

null

hep-th

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

We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 SYM theory. It takes the form of a Y-system based on the integrability of the dual superstring sigma-model on the AdS_5xS^5 background. This Y-system passes some very important tests: it incorporates the full asymptotic Bethe ansatz at large length of operator L, including the dressing factor, and it confirms all recently found wrapping corrections. The recently proposed AdS_4/CFT_3 duality is also treated in a similar fashion.

[ { "created": "Fri, 23 Jan 2009 19:01:51 GMT", "version": "v1" }, { "created": "Thu, 29 Jan 2009 18:14:17 GMT", "version": "v2" }, { "created": "Mon, 16 Mar 2009 13:22:37 GMT", "version": "v3" } ]

2009-12-17

[ [ "Gromov", "Nikolay", "" ], [ "Kazakov", "Vladimir", "" ], [ "Vieira", "Pedro", "" ] ]

We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 SYM theory. It takes the form of a Y-system based on the integrability of the dual superstring sigma-model on the AdS_5xS^5 background. This Y-system passes some very important tests: it incorporates the full asymptotic Bethe ansatz at large length of operator L, including the dressing factor, and it confirms all recently found wrapping corrections. The recently proposed AdS_4/CFT_3 duality is also treated in a similar fashion.

8.243282

7.244226

10.307202

6.309551

6.960618

7.562483

6.831985

7.071257

6.964517

10.598124

7.091806

7.020029

8.026426

6.940646

7.165029

6.98756

6.95121

7.068334

7.285032

8.144564

7.262854

hep-th/9412158

null

A. Klemm, W. Lerche, S. Theisen and S. Yankielowicz

On the Monodromies of N=2 Supersymmetric Yang-Mills Theory

15p, harvmac/lanlmac with hyperlinks, 4 uuencoded compressed postscript figures appended

null

CERN-TH.7538/94, LMU-TPW 94/22

hep-th

null

We review the generalization of the work of Seiberg and Witten on N=2 supersymmetric SU(2) Yang-Mills theory to SU(n) gauge groups. The quantum moduli spaces of the effective low energy theory parametrize a special family of hyperelliptic genus n-1 Riemann surfaces. We discuss the massless spectrum and the monodromies.

[ { "created": "Sun, 18 Dec 1994 20:39:02 GMT", "version": "v1" } ]

2007-05-23

[ [ "Klemm", "A.", "" ], [ "Lerche", "W.", "" ], [ "Theisen", "S.", "" ], [ "Yankielowicz", "S.", "" ] ]

We review the generalization of the work of Seiberg and Witten on N=2 supersymmetric SU(2) Yang-Mills theory to SU(n) gauge groups. The quantum moduli spaces of the effective low energy theory parametrize a special family of hyperelliptic genus n-1 Riemann surfaces. We discuss the massless spectrum and the monodromies.

5.640609

4.814961

6.065615

4.852279

5.145695

4.629347

4.560133

4.750887

4.781246

6.523004

4.639585

4.726579

5.335376

4.772645

4.880419

4.764242

4.907857

4.731977

4.845111

5.584666

4.734649

1707.06447

David Mesterh\'azy

Xin An, David Mesterh\'azy, Mikhail A. Stephanov

On spinodal points and Lee-Yang edge singularities

26 pages, 8 figures; v2: shortened Sec. 4.1 and streamlined arguments/notation in Sec. 4.2, details moved to appendix, added reference 17

J. Stat. Mech. (2018) 033207

10.1088/1742-5468/aaac4a

null

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

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

We address a number of outstanding questions associated with the analytic properties of the universal equation of state of the $\phi^4$ theory, which describes the critical behavior of the Ising model and ubiquitous critical points of the liquid-gas type. We focus on the relation between spinodal points that limit the domain of metastability for temperatures below the critical temperature, i.e., $T < T_{\rm c}$, and Lee-Yang edge singularities that restrict the domain of analyticity around the point of zero magnetic field $H$ for $T > T_{\rm c}$. The extended analyticity conjecture (due to Fonseca and Zamolodchikov) posits that, for $T < T_{\rm c}$, the Lee-Yang edge singularities are the closest singularities to the real $H$ axis. This has interesting implications, in particular, that the spinodal singularities must lie off the real $H$ axis for $d < 4$, in contrast to the commonly known result of the mean-field approximation. We find that the parametric representation of the Ising equation of state obtained in the $\varepsilon = 4-d$ expansion, as well as the equation of state of the ${\rm O}(N)$-symmetric $\phi^4$ theory at large $N$, are both nontrivially consistent with the conjecture. We analyze the reason for the difficulty of addressing this issue using the $\varepsilon$ expansion. It is related to the long-standing paradox associated with the fact that the vicinity of the Lee-Yang edge singularity is described by Fisher's $\phi^3$ theory, which remains nonperturbative even for $d\to 4$, where the equation of state of the $\phi^4$ theory is expected to approach the mean-field result. We resolve this paradox by deriving the Ginzburg criterion that determines the size of the region around the Lee-Yang edge singularity where mean-field theory no longer applies.

[ { "created": "Thu, 20 Jul 2017 11:26:23 GMT", "version": "v1" }, { "created": "Sun, 18 Mar 2018 11:24:39 GMT", "version": "v2" } ]

2018-03-20

[ [ "An", "Xin", "" ], [ "Mesterházy", "David", "" ], [ "Stephanov", "Mikhail A.", "" ] ]

We address a number of outstanding questions associated with the analytic properties of the universal equation of state of the $\phi^4$ theory, which describes the critical behavior of the Ising model and ubiquitous critical points of the liquid-gas type. We focus on the relation between spinodal points that limit the domain of metastability for temperatures below the critical temperature, i.e., $T < T_{\rm c}$, and Lee-Yang edge singularities that restrict the domain of analyticity around the point of zero magnetic field $H$ for $T > T_{\rm c}$. The extended analyticity conjecture (due to Fonseca and Zamolodchikov) posits that, for $T < T_{\rm c}$, the Lee-Yang edge singularities are the closest singularities to the real $H$ axis. This has interesting implications, in particular, that the spinodal singularities must lie off the real $H$ axis for $d < 4$, in contrast to the commonly known result of the mean-field approximation. We find that the parametric representation of the Ising equation of state obtained in the $\varepsilon = 4-d$ expansion, as well as the equation of state of the ${\rm O}(N)$-symmetric $\phi^4$ theory at large $N$, are both nontrivially consistent with the conjecture. We analyze the reason for the difficulty of addressing this issue using the $\varepsilon$ expansion. It is related to the long-standing paradox associated with the fact that the vicinity of the Lee-Yang edge singularity is described by Fisher's $\phi^3$ theory, which remains nonperturbative even for $d\to 4$, where the equation of state of the $\phi^4$ theory is expected to approach the mean-field result. We resolve this paradox by deriving the Ginzburg criterion that determines the size of the region around the Lee-Yang edge singularity where mean-field theory no longer applies.

5.042626

5.453699

5.659886

5.294268

5.41729

5.541325

5.469265

5.302055

5.361906

5.810055

5.248815

4.966657

5.022673

4.976041

5.06785

5.0238

4.987214

5.075607

4.899565

5.076854

4.986269

0906.2148

Kamal Lochan Panigrahi

J. Kluson, Kamal L. Panigrahi

Wilson Loops from D-branes in AdS(4) X CP**3 with B-NS Holonomy

17 pages, v3: revised version to appear in EPJC, v4: correct version (a wrong version was uploaded in v3)

Eur.Phys.J.C67:565-573,2010

10.1140/epjc/s10052-010-1299-1

null

hep-th

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

We study Wilson loops in N=6 superconformal Chern-Simons theory with gauge group $U(M) \times \bar{U(N)}$ that is dual to N M2-branes and (M-N) fractional M2-branes, equivalently, discrete 3-form holonomy at C4/Zk orbifold singularity. We give description of these Wilson loops in terms of macroscopic fundamental string and D6-branes in the dual AdS$_4\times$ CP$^3$ geometry with NS-NS B field turned on over CP$^1 \subset$ CP$^3$.

[ { "created": "Thu, 11 Jun 2009 17:46:21 GMT", "version": "v1" }, { "created": "Fri, 19 Jun 2009 13:28:20 GMT", "version": "v2" }, { "created": "Mon, 22 Mar 2010 11:50:08 GMT", "version": "v3" }, { "created": "Tue, 23 Mar 2010 09:33:14 GMT", "version": "v4" } ]

2014-11-20

[ [ "Kluson", "J.", "" ], [ "Panigrahi", "Kamal L.", "" ] ]

We study Wilson loops in N=6 superconformal Chern-Simons theory with gauge group $U(M) \times \bar{U(N)}$ that is dual to N M2-branes and (M-N) fractional M2-branes, equivalently, discrete 3-form holonomy at C4/Zk orbifold singularity. We give description of these Wilson loops in terms of macroscopic fundamental string and D6-branes in the dual AdS$_4\times$ CP$^3$ geometry with NS-NS B field turned on over CP$^1 \subset$ CP$^3$.

6.935871

5.632421

10.687573

5.852243

6.516454

7.66065

6.946021

5.636142

5.275814

9.902843

6.06753

6.385378

7.69697

6.439718

6.322981

6.703814

6.613403

6.22652

6.395062

7.389236

6.746551

0704.1653

Wissam Chemissany

Wissam Chemissany, Andr\'e ploegh, Thomas Van Riet

Scaling cosmologies, geodesic motion and pseudo-susy

14 pages, slight change in title, references added, typos corrected. Version accepted for publication in Class. Quantum Grav

Class.Quant.Grav.24:4679-4690,2007

10.1088/0264-9381/24/18/009

UG-07-01

hep-th astro-ph

null

One-parameter solutions in supergravity carried by scalars and a metric trace out curves on the scalar manifold. In ungauged supergravity these curves describe a geodesic motion. It is known that a geodesic motion sometimes occurs in the presence of a scalar potential and for time-dependent solutions this can happen for scaling cosmologies. This note contains a further study of such solutions in the context of pseudo-supersymmetry for multi-field systems whose first-order equations we derive using a Bogomol'nyi-like method. In particular we show that scaling solutions that are pseudo-BPS must describe geodesic curves. Furthermore, we clarify how to solve the geodesic equations of motion when the scalar manifold is a maximally non-compact coset such as occurs in maximal supergravity. This relies upon a parametrization of the coset in the Borel gauge. We then illustrate this with the cosmological solutions of higher-dimensional gravity compactified on a $n$-torus.

[ { "created": "Thu, 12 Apr 2007 20:13:12 GMT", "version": "v1" }, { "created": "Tue, 17 Apr 2007 13:07:02 GMT", "version": "v2" }, { "created": "Fri, 17 Aug 2007 09:39:00 GMT", "version": "v3" } ]

2008-11-26

[ [ "Chemissany", "Wissam", "" ], [ "ploegh", "André", "" ], [ "Van Riet", "Thomas", "" ] ]

One-parameter solutions in supergravity carried by scalars and a metric trace out curves on the scalar manifold. In ungauged supergravity these curves describe a geodesic motion. It is known that a geodesic motion sometimes occurs in the presence of a scalar potential and for time-dependent solutions this can happen for scaling cosmologies. This note contains a further study of such solutions in the context of pseudo-supersymmetry for multi-field systems whose first-order equations we derive using a Bogomol'nyi-like method. In particular we show that scaling solutions that are pseudo-BPS must describe geodesic curves. Furthermore, we clarify how to solve the geodesic equations of motion when the scalar manifold is a maximally non-compact coset such as occurs in maximal supergravity. This relies upon a parametrization of the coset in the Borel gauge. We then illustrate this with the cosmological solutions of higher-dimensional gravity compactified on a $n$-torus.

11.799889

11.787312

13.578774

11.593144

11.551346

11.515123

11.07759

12.242057

11.336052

14.29475

11.750683

11.018093

11.821158

10.929828

11.538573

11.441485

11.232709

11.397608

11.278847

11.963407

11.130163

1312.1467

Yassen Stanev

Yassen S. Stanev

Correlation functions of conserved currents in four dimensional conformal field theory with higher spin symmetry

6 pages, Invited talk at the Second Bulgarian National Congress in Physics, Sofia, September 2013

Bulg.J.Phys. 40 (2013) 147-152

null

hep-th

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

We report some recent progress in the computation of the n-point correlation functions of conserved currents in a class of four dimensional conformal field theories with higher spin symmetry. Global conformal invariance leads to very strong constraints on both the general form and the singularity structure of the correlation functions of conserved currents. Namely, all these functions have to be rational functions with at most double pole singularities. We show that this implies that the 4-, 5- and 6-point correlation functions of the (symmetric, conserved and traceless) stress-energy tensor are linear combinations of the three free field expressions. Hence, in four dimensions, any globally conformal invariant theory is free.

[ { "created": "Thu, 5 Dec 2013 08:31:38 GMT", "version": "v1" } ]

2013-12-12

[ [ "Stanev", "Yassen S.", "" ] ]

We report some recent progress in the computation of the n-point correlation functions of conserved currents in a class of four dimensional conformal field theories with higher spin symmetry. Global conformal invariance leads to very strong constraints on both the general form and the singularity structure of the correlation functions of conserved currents. Namely, all these functions have to be rational functions with at most double pole singularities. We show that this implies that the 4-, 5- and 6-point correlation functions of the (symmetric, conserved and traceless) stress-energy tensor are linear combinations of the three free field expressions. Hence, in four dimensions, any globally conformal invariant theory is free.

6.639699

6.31629

6.647437

5.851413

6.381085

6.557625

5.923492

5.884886

6.203078

7.285835

6.33952

6.188133

6.22772

6.131598

6.123575

6.07812

5.9304

6.188496

6.100322

6.265077

6.130079

1906.02334

Ashish Shukla

Equilibrium thermodynamic susceptibilities for a dense degenerate Dirac field

10 pages, 7 figures. v2: Minor typo fixed. v3: Minor presentation improvements; matches version published in PRD

Phys. Rev. D 100, 096010 (2019)

10.1103/PhysRevD.100.096010

null

hep-th hep-ph nucl-th

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

Parity preserving relativistic fluids in four spacetime dimensions admit seven independent thermodynamic susceptibilities at the second order in the hydrodynamic derivative expansion. We compute all parity-even second order thermodynamic susceptibilities for a free massive Dirac field at zero temperature and a nonzero chemical potential, based on the Kubo formulas reported in P. Kovtun and A. Shukla, Kubo formulas for thermodynamic transport coefficients, J. High Energy Phys. 10 (2018) 007. We also compute the second order constitutive relations for the energy-momentum tensor and the conserved current in the absence of external gauge fields.

[ { "created": "Wed, 5 Jun 2019 22:13:07 GMT", "version": "v1" }, { "created": "Fri, 12 Jul 2019 23:04:10 GMT", "version": "v2" }, { "created": "Fri, 15 Nov 2019 18:52:49 GMT", "version": "v3" } ]

2019-11-18

[ [ "Shukla", "Ashish", "" ] ]

Parity preserving relativistic fluids in four spacetime dimensions admit seven independent thermodynamic susceptibilities at the second order in the hydrodynamic derivative expansion. We compute all parity-even second order thermodynamic susceptibilities for a free massive Dirac field at zero temperature and a nonzero chemical potential, based on the Kubo formulas reported in P. Kovtun and A. Shukla, Kubo formulas for thermodynamic transport coefficients, J. High Energy Phys. 10 (2018) 007. We also compute the second order constitutive relations for the energy-momentum tensor and the conserved current in the absence of external gauge fields.

7.718192

7.527651

9.588343

7.21438

7.943843

8.117578

7.752084

7.666749

7.494611

9.628077

7.539952

7.437034

7.643864

7.214691

7.167

7.588662

7.315402

7.417172

7.146355

8.09149

7.587422

hep-th/9911080

Chris Hull

C. M. Hull

Duality and Strings, Space and Time

Contribution to Proceedings of "Mathematical Sciences beyond the Second Millenium" held at the Center for Advanced Mathematical Sciences, Beirut. 15 pages, Latex, sprocl.sty

null

QMW-PH-99-19

hep-th

null

Duality symmetries in M--theory and string theory are reviewed, with particular emphasis on the way in which string winding modes and brane wrapping modes can lead to new spatial dimensions. Brane world-volumes wrapping around Lorentzian tori can give rise to extra time dimensions and in this way dualities can change the number of time dimensions as well as the number of space dimensions. This suggests that brane wrapping modes and spacetime momenta should be on an equal footing and M--theory should not be formulated in a spacetime of definite dimension or signature.

[ { "created": "Thu, 11 Nov 1999 14:54:52 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hull", "C. M.", "" ] ]

Duality symmetries in M--theory and string theory are reviewed, with particular emphasis on the way in which string winding modes and brane wrapping modes can lead to new spatial dimensions. Brane world-volumes wrapping around Lorentzian tori can give rise to extra time dimensions and in this way dualities can change the number of time dimensions as well as the number of space dimensions. This suggests that brane wrapping modes and spacetime momenta should be on an equal footing and M--theory should not be formulated in a spacetime of definite dimension or signature.

8.984292

8.545215

9.701553

8.36869

8.852518

9.010418

8.388657

8.388783

7.940428

10.679665

8.049991

8.17172

8.917101

7.907565

7.957254

7.941295

8.154523

8.067472

8.103116

8.382747

8.033366

hep-th/9608165

Zachary Guralnik

Zachary Guralnik (Princeton University)

Multiple Vacua and Boundary Conditions of Schwinger-Dyson Equations

10 pages, LateX, talk given at 3rd AUP Workshop on QCD: Collisions, Confinement, and Chaos, Paris, France, 3-8 Jun 1996

null

PUPT-1645

hep-th

null

We discuss the relationship between the boundary conditions of the Schwinger-Dyson equations and the phase diagram of a bosonic field theory or matrix model. In the thermodynamic limit, many boundary conditions lead to the same solution, while other boundary conditions have no such limit. The list of boundary conditions for which a thermodynamic limit exists depends on the parameters of the theory. The boundary conditions of a physical solution may be quite exotic, corresponding to path integration over various inequivalent complex contours.

[ { "created": "Sat, 24 Aug 1996 20:07:53 GMT", "version": "v1" } ]

2007-05-23

[ [ "Guralnik", "Zachary", "", "Princeton University" ] ]

We discuss the relationship between the boundary conditions of the Schwinger-Dyson equations and the phase diagram of a bosonic field theory or matrix model. In the thermodynamic limit, many boundary conditions lead to the same solution, while other boundary conditions have no such limit. The list of boundary conditions for which a thermodynamic limit exists depends on the parameters of the theory. The boundary conditions of a physical solution may be quite exotic, corresponding to path integration over various inequivalent complex contours.

9.929024

10.856062

11.345348

10.741639

11.365319

10.783341

9.790265

9.433548

9.93383

11.109185

9.430586

9.732007

9.817781

9.543889

10.168494

10.2328

10.028143

9.526621

9.538734

9.5436

9.588012

0908.0407

Nick Evans

Nick Evans, James French, Kristan Jensen, Ed Threlfall

Hadronization at the AdS wall

15 pages, 11 jpg figures, added references

Phys.Rev.D81:066004,2010

10.1103/PhysRevD.81.066004

SHEP-09-15

hep-th

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

We describe hadronization events, using the AdS/CFT Correspondence, which display many of the qualitative features expected in QCD. In particular we study the motion of strings with separating end points in a back-reacted hard wall geometry. The solutions show the development of a linear QCD-like string. The end points oscillate in the absence of string breaking. We introduce string breaking by hand and evolve the new state forward in time to observe the separation of two string segments. A kink associated with this breaking evolves to the end points of the string inducing rho meson production. We explicitly compute the rho meson production at the end point.

[ { "created": "Tue, 4 Aug 2009 08:23:24 GMT", "version": "v1" }, { "created": "Fri, 21 Aug 2009 07:35:27 GMT", "version": "v2" } ]

2010-04-29

[ [ "Evans", "Nick", "" ], [ "French", "James", "" ], [ "Jensen", "Kristan", "" ], [ "Threlfall", "Ed", "" ] ]

We describe hadronization events, using the AdS/CFT Correspondence, which display many of the qualitative features expected in QCD. In particular we study the motion of strings with separating end points in a back-reacted hard wall geometry. The solutions show the development of a linear QCD-like string. The end points oscillate in the absence of string breaking. We introduce string breaking by hand and evolve the new state forward in time to observe the separation of two string segments. A kink associated with this breaking evolves to the end points of the string inducing rho meson production. We explicitly compute the rho meson production at the end point.

14.977458

16.183157

14.408823

15.307819

16.771706

16.745041

16.394163

15.91369

16.046015

15.485224

15.073373

15.482437

14.326888

14.89795

14.705393

15.398394

15.488167

15.155876

14.58948

14.863415

14.876157

hep-th/0203162

John R. Hiller

J.R. Hiller, S.S. Pinsky, U. Trittmann

Approximate BPS states

9 pages, 1 figure; REVTeX

Phys.Rev.Lett. 89 (2002) 181602

10.1103/PhysRevLett.89.181602

UMN-D-02-1

hep-th hep-lat hep-ph

null

We consider dimensionally reduced three-dimensional supersymmetric Yang-Mills-Chern-Simons theory. Although the N=1 supersymmetry of this theory does not allow true massive Bogomol'nyi-Prasad-Sommerfield (BPS) states, we find approximate BPS states which have non-zero masses that are almost independent of the Yang-Mills coupling constant and which are a reflection of the massless BPS states of the underlying N=1 super Yang-Mills theory. The masses of these states at large Yang-Mills coupling are exactly at the n-particle continuum thresholds. This leads to a relation between their masses at zero and large Yang-Mills coupling.

[ { "created": "Mon, 18 Mar 2002 20:19:40 GMT", "version": "v1" } ]

2009-11-07

[ [ "Hiller", "J. R.", "" ], [ "Pinsky", "S. S.", "" ], [ "Trittmann", "U.", "" ] ]

We consider dimensionally reduced three-dimensional supersymmetric Yang-Mills-Chern-Simons theory. Although the N=1 supersymmetry of this theory does not allow true massive Bogomol'nyi-Prasad-Sommerfield (BPS) states, we find approximate BPS states which have non-zero masses that are almost independent of the Yang-Mills coupling constant and which are a reflection of the massless BPS states of the underlying N=1 super Yang-Mills theory. The masses of these states at large Yang-Mills coupling are exactly at the n-particle continuum thresholds. This leads to a relation between their masses at zero and large Yang-Mills coupling.

6.884461

6.403333

6.865702

6.172867

6.501949

5.996661

6.385528

6.385594

5.956545

7.135654

6.033654

6.251181

6.556416

6.280656

6.422403

6.211212

6.334059

6.124749

6.304246

7.018861

6.344224

1003.1970

Gabriel Cardoso

G.L. Cardoso, B. de Wit, S. Mahapatra

BPS black holes, the Hesse potential, and the topological string

28 pages, LaTeX, added comments

JHEP06(2010)052

10.1007/JHEP06(2010)052

ITP-UU-10/10, Nikhef-2010-006

hep-th

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

The Hesse potential is constructed for a class of four-dimensional N=2 supersymmetric effective actions with S- and T-duality by performing the relevant Legendre transform by iteration. It is a function of fields that transform under duality according to an arithmetic subgroup of the classical dualities reflecting the monodromies of the underlying string compactification. These transformations are not subject to corrections, unlike the transformations of the fields that appear in the effective action which are affected by the presence of higher-derivative couplings. The class of actions that are considered includes those of the FHSV and the STU model. We also consider heterotic N=4 supersymmetric compactifications. The Hesse potential, which is equal to the free energy function for BPS black holes, is manifestly duality invariant. Generically it can be expanded in terms of powers of the modulus that represents the inverse topological string coupling constant, $g_s$, and its complex conjugate. The terms depending holomorphically on $g_s$ are expected to correspond to the topological string partition function and this expectation is explicitly verified in two cases. Terms proportional to mixed powers of $g_s$ and $\bar g_s$ are in principle present.

[ { "created": "Tue, 9 Mar 2010 20:18:57 GMT", "version": "v1" }, { "created": "Tue, 1 Jun 2010 15:46:09 GMT", "version": "v2" } ]

2013-12-04

[ [ "Cardoso", "G. L.", "" ], [ "de Wit", "B.", "" ], [ "Mahapatra", "S.", "" ] ]

The Hesse potential is constructed for a class of four-dimensional N=2 supersymmetric effective actions with S- and T-duality by performing the relevant Legendre transform by iteration. It is a function of fields that transform under duality according to an arithmetic subgroup of the classical dualities reflecting the monodromies of the underlying string compactification. These transformations are not subject to corrections, unlike the transformations of the fields that appear in the effective action which are affected by the presence of higher-derivative couplings. The class of actions that are considered includes those of the FHSV and the STU model. We also consider heterotic N=4 supersymmetric compactifications. The Hesse potential, which is equal to the free energy function for BPS black holes, is manifestly duality invariant. Generically it can be expanded in terms of powers of the modulus that represents the inverse topological string coupling constant, $g_s$, and its complex conjugate. The terms depending holomorphically on $g_s$ are expected to correspond to the topological string partition function and this expectation is explicitly verified in two cases. Terms proportional to mixed powers of $g_s$ and $\bar g_s$ are in principle present.

10.118555

9.612526

10.688408

9.184543

9.219275

9.192631

9.621624

9.046659

8.955698

11.700315

9.088736

9.277618

10.239746

9.157923

9.225614

9.181508

9.238955

9.182745

9.081531

9.832752

9.192854

1808.09979

Sagar F. Lokhande

Spread of Entanglement in Non-Relativistic Theories

Published version

Advances in High Energy Physics, Special Issue: Quantum Information and Holography, Article ID 9151707, Volume 2018

10.1155/2018/9151707

null

hep-th cond-mat.str-el

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

We use a simple holographic toy model to study global quantum quenches in strongly-coupled, hyperscaling-violating-Lifshitz quantum field theories using entanglement entropy as a probe. Generalizing our results in arxiv:1705.10324 , we show that the holographic entanglement entropy of small subsystems can be written as a simple linear response relation. We use this relation to derive a time-dependent first law of entanglement entropy. In general, this law has a time-dependent term resembling relative entropy which we propose as a good order parameter to characterize out-of-equilibrium-states in the post-quench evolution. We use these tools to study a broad class of quantum quenches in detail: instantaneous, power law and periodic.

[ { "created": "Wed, 29 Aug 2018 18:00:12 GMT", "version": "v1" }, { "created": "Tue, 13 Nov 2018 14:38:23 GMT", "version": "v2" } ]

2018-11-14

[ [ "Lokhande", "Sagar F.", "" ] ]

We use a simple holographic toy model to study global quantum quenches in strongly-coupled, hyperscaling-violating-Lifshitz quantum field theories using entanglement entropy as a probe. Generalizing our results in arxiv:1705.10324 , we show that the holographic entanglement entropy of small subsystems can be written as a simple linear response relation. We use this relation to derive a time-dependent first law of entanglement entropy. In general, this law has a time-dependent term resembling relative entropy which we propose as a good order parameter to characterize out-of-equilibrium-states in the post-quench evolution. We use these tools to study a broad class of quantum quenches in detail: instantaneous, power law and periodic.

10.352753

9.017646

11.361465

9.500618

10.373489

9.591891

9.934189

9.354215

9.563052

11.446832

9.46121

10.355783

10.020845

10.123818

9.94037

10.331654

9.77102

10.180536

10.171811

10.503371

10.114496

2308.09140

Ignacio Araya

Giorgos Anastasiou, Ignacio J. Araya, Cristobal Corral and Rodrigo Olea

Conformal Renormalization of topological black holes in AdS$_6$

25 pages, version accepted in JHEP

JHEP, 11 (2023) 036

10.1007/JHEP11(2023)036

null

hep-th gr-qc

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

We present a streamlined proof that any Einstein-AdS space is a solution of the Lu, Pang and Pope conformal gravity theory in six dimensions. The reduction of conformal gravity into Einstein theory manifestly shows that the action of the latter can be written as the Einstein-Hilbert term plus the Euler topological density and an additional contribution that depends on the Laplacian of the bulk Weyl tensor squared. The prescription for obtaining this form of the action by embedding the Einstein theory into a Weyl-invariant purely metric theory, was dubbed Conformal Renormalization and its resulting action was shown to be equivalent to the one obtained by holographic renormalization. As a non-trivial application of the method, we compute the Noether-Wald charges and thermodynamic quantities for topological black hole solutions with generic transverse section in Einstein-AdS$_6$ theory.

[ { "created": "Thu, 17 Aug 2023 18:17:25 GMT", "version": "v1" }, { "created": "Sun, 22 Oct 2023 18:56:58 GMT", "version": "v2" } ]

2023-11-13

[ [ "Anastasiou", "Giorgos", "" ], [ "Araya", "Ignacio J.", "" ], [ "Corral", "Cristobal", "" ], [ "Olea", "Rodrigo", "" ] ]

We present a streamlined proof that any Einstein-AdS space is a solution of the Lu, Pang and Pope conformal gravity theory in six dimensions. The reduction of conformal gravity into Einstein theory manifestly shows that the action of the latter can be written as the Einstein-Hilbert term plus the Euler topological density and an additional contribution that depends on the Laplacian of the bulk Weyl tensor squared. The prescription for obtaining this form of the action by embedding the Einstein theory into a Weyl-invariant purely metric theory, was dubbed Conformal Renormalization and its resulting action was shown to be equivalent to the one obtained by holographic renormalization. As a non-trivial application of the method, we compute the Noether-Wald charges and thermodynamic quantities for topological black hole solutions with generic transverse section in Einstein-AdS$_6$ theory.

11.027754

10.21665

11.289779

9.728263

10.763504

10.499252

10.406363

9.921617

10.090527

12.531258

9.769321

11.118719

10.712485

10.875889

10.876412

10.906186

10.693959

10.773887

10.541112

11.650568

10.221921

1508.04079

Alexander Maloney

Geometric Microstates for the Three Dimensional Black Hole?

21 pages, 5 figures

null

hep-th gr-qc

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

We study microstates of the three dimensional black hole obtained by quantizing topologically non-trivial geometries behind the event horizon. In chiral gravity these states are found by quantizing the moduli space of bordered Riemann surfaces. In the semi-classical limit these microstates can be counted using intersection theory on the moduli space of punctured Riemann surfaces. We make a conjecture (supported by numerics) for the asymptotic behaviour of the relevant intersection numbers. The result is that the geometric microstates with fixed topology have an entropy which grows too slowly to account for the semiclassical Bekenstein-Hawking entropy. The sum over topologies, however, leads to a divergence. We conclude with some speculations about how this might be resolved to give an entropy proportional to horizon area.

[ { "created": "Mon, 17 Aug 2015 16:36:57 GMT", "version": "v1" } ]

2015-08-18

[ [ "Maloney", "Alexander", "" ] ]

We study microstates of the three dimensional black hole obtained by quantizing topologically non-trivial geometries behind the event horizon. In chiral gravity these states are found by quantizing the moduli space of bordered Riemann surfaces. In the semi-classical limit these microstates can be counted using intersection theory on the moduli space of punctured Riemann surfaces. We make a conjecture (supported by numerics) for the asymptotic behaviour of the relevant intersection numbers. The result is that the geometric microstates with fixed topology have an entropy which grows too slowly to account for the semiclassical Bekenstein-Hawking entropy. The sum over topologies, however, leads to a divergence. We conclude with some speculations about how this might be resolved to give an entropy proportional to horizon area.

7.693511

7.004938

8.010377

7.258207

7.481641

7.373657

7.937322

6.964315

6.951145

8.646982

7.326859

7.657137

7.694985

7.405238

7.243337

7.634331

7.530216

7.51177

7.419174

7.752922

7.495279

hep-th/0001178

Emery Sokatchev

Sergio Ferrara and Emery Sokatchev

Representations of (1,0) and (2,0) superconformal algebras in six dimensions: massless and short superfields

references added

Lett.Math.Phys. 51 (2000) 55-69

null

hep-th

null

We construct unitary representations of (1,0) and (2,0) superconformal algebras in six dimensions by using superfields defined on harmonic superspaces with coset manifolds USp(2n)/[U(1)]^n, n=1,2. In the spirit of the AdS_7/CFT_6 correspondence massless conformal fields correspond to "supersingletons" in AdS_7. By tensoring them we produce all short representations corresponding to 1/2 and 1/4 BPS anti-de Sitter bulk states of which "massless bulk" representations are particular cases.

[ { "created": "Wed, 26 Jan 2000 22:10:53 GMT", "version": "v1" }, { "created": "Wed, 12 Apr 2000 18:36:09 GMT", "version": "v2" }, { "created": "Tue, 2 May 2000 19:13:29 GMT", "version": "v3" } ]

2007-05-23

[ [ "Ferrara", "Sergio", "" ], [ "Sokatchev", "Emery", "" ] ]

We construct unitary representations of (1,0) and (2,0) superconformal algebras in six dimensions by using superfields defined on harmonic superspaces with coset manifolds USp(2n)/[U(1)]^n, n=1,2. In the spirit of the AdS_7/CFT_6 correspondence massless conformal fields correspond to "supersingletons" in AdS_7. By tensoring them we produce all short representations corresponding to 1/2 and 1/4 BPS anti-de Sitter bulk states of which "massless bulk" representations are particular cases.

8.986276

7.840988

10.174812

7.839969

7.590031

7.452263

7.665618

7.334112

7.786987

10.181185

7.535529

7.907978

9.053717

7.936048

8.016122

8.008714

7.862011

7.689416

7.870839

9.022985

7.709208

hep-th/9611140

Klaus Behrndt

Klaus Behrndt, Thomas Mohaupt

Entropy of N=2 black holes and their M-brane description

12 pages, (hyper) LaTeX, (minor changes and refs. added)

Phys. Rev. D 56, 2206 (1997)

10.1103/PhysRevD.56.2206

HUB-EP-96/58

hep-th

null

In this paper we discuss the M-brane description for a N=2 black hole. This solution is a result of the compactification of M-5-brane configurations over a Calabi-Yau threefold with arbitrary intersection numbers $C_{ABC}$. In analogy to the D-brane description where one counts open string states we count here open 2-branes which end on the M-5-brane.

[ { "created": "Mon, 18 Nov 1996 23:05:30 GMT", "version": "v1" }, { "created": "Wed, 18 Dec 1996 09:17:11 GMT", "version": "v2" } ]

2016-08-24

[ [ "Behrndt", "Klaus", "" ], [ "Mohaupt", "Thomas", "" ] ]

In this paper we discuss the M-brane description for a N=2 black hole. This solution is a result of the compactification of M-5-brane configurations over a Calabi-Yau threefold with arbitrary intersection numbers $C_{ABC}$. In analogy to the D-brane description where one counts open string states we count here open 2-branes which end on the M-5-brane.

11.258206

8.909423

11.202399

8.790545

9.797489

9.729819

9.780956

8.563004

10.10628

12.757645

9.42763

9.646734

9.969912

9.728917

9.123922

9.564171

9.585205

9.808605

9.617216

10.519926

9.775392

2212.10583

Souvik Banerjee Dr.

Mohsen Alishahiha and Souvik Banerjee

A universal approach to Krylov State and Operator complexities

13 pages, typos corrected, explanations added

SciPost Phys. 15, 080 (2023)

10.21468/SciPostPhys.15.3.080

null

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

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

We present a general framework in which both Krylov state and operator complexities can be put on the same footing. In our formalism, the Krylov complexity is defined in terms of the density matrix of the associated state which, for the operator complexity, lives on a doubled Hilbert space obtained through the channel-state map. This unified definition of complexity in terms of the density matrices enables us to extend the notion of Krylov complexity, to subregion or mixed state complexities and also naturally to the Krylov mutual complexity. We show that this framework also encompasses nicely the holographic notions of complexity.

[ { "created": "Tue, 20 Dec 2022 19:00:12 GMT", "version": "v1" }, { "created": "Sat, 21 Jan 2023 19:01:01 GMT", "version": "v2" }, { "created": "Wed, 28 Jun 2023 14:37:42 GMT", "version": "v3" } ]

2023-08-30

[ [ "Alishahiha", "Mohsen", "" ], [ "Banerjee", "Souvik", "" ] ]

We present a general framework in which both Krylov state and operator complexities can be put on the same footing. In our formalism, the Krylov complexity is defined in terms of the density matrix of the associated state which, for the operator complexity, lives on a doubled Hilbert space obtained through the channel-state map. This unified definition of complexity in terms of the density matrices enables us to extend the notion of Krylov complexity, to subregion or mixed state complexities and also naturally to the Krylov mutual complexity. We show that this framework also encompasses nicely the holographic notions of complexity.

14.655573

12.733052

15.34409

12.460923

12.394675

13.440453

12.547134

12.528727

11.815302

17.454325

12.270057

12.274817

13.681483

12.877574

12.805898

12.211687

12.358806

13.005394

13.107211

14.265035

13.291884

2001.02109

Takeshi Morita

Takeshi Morita and Hiroki Yoshida

Critical Dimension and Negative Specific Heat in One-dimensional Large-N Reduced Models

12 pages, 6 figures, v2: minor corrections, v3: minor corrections and reference added, v4: published version, Discussions on negative specific heat are added

Phys. Rev. D 101, 106010 (2020)

10.1103/PhysRevD.101.106010

null

hep-th gr-qc hep-lat

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

We investigate critical phenomena of the Yang-Mills (YM) type one-dimensional matrix model that is a large-$N$ reduction (or dimensional reduction) of the $D+1$ dimensional $U(N)$ pure YM theory (bosonic BFSS model). This model shows a large-$N$ phase transition at finite temperature, which is analogous to the confinement/deconfinement transition of the original YM theory. We study the matrix model at a three-loop calculation via the "principle of minimum sensitivity" and find that there is a critical dimension $D=35.5$: At $D \le 35$, the transition is of first order, while it is of second order at $D\ge 36$. Furthermore, we evaluate several observables in our method, and they nicely reproduce the existing Monte Carlo results. Through the gauge/gravity correspondence, the transition is expected to be related to a Gregory-Laflamme transition in gravity, and we argue that the existence of the critical dimension is qualitatively consistent with it. Besides, in the first order transition case, a stable phase having negative specific heat appears in the microcanonical ensemble, which is similar to Schwarzschild black holes. We study some properties of this phase.

[ { "created": "Tue, 7 Jan 2020 15:16:58 GMT", "version": "v1" }, { "created": "Tue, 14 Jan 2020 09:16:42 GMT", "version": "v2" }, { "created": "Mon, 27 Jan 2020 07:46:51 GMT", "version": "v3" }, { "created": "Wed, 6 May 2020 09:03:35 GMT", "version": "v4" } ]

2020-05-20

[ [ "Morita", "Takeshi", "" ], [ "Yoshida", "Hiroki", "" ] ]

We investigate critical phenomena of the Yang-Mills (YM) type one-dimensional matrix model that is a large-$N$ reduction (or dimensional reduction) of the $D+1$ dimensional $U(N)$ pure YM theory (bosonic BFSS model). This model shows a large-$N$ phase transition at finite temperature, which is analogous to the confinement/deconfinement transition of the original YM theory. We study the matrix model at a three-loop calculation via the "principle of minimum sensitivity" and find that there is a critical dimension $D=35.5$: At $D \le 35$, the transition is of first order, while it is of second order at $D\ge 36$. Furthermore, we evaluate several observables in our method, and they nicely reproduce the existing Monte Carlo results. Through the gauge/gravity correspondence, the transition is expected to be related to a Gregory-Laflamme transition in gravity, and we argue that the existence of the critical dimension is qualitatively consistent with it. Besides, in the first order transition case, a stable phase having negative specific heat appears in the microcanonical ensemble, which is similar to Schwarzschild black holes. We study some properties of this phase.

7.568715

6.65098

8.339712

6.854603

6.930027

6.900381

6.882569

6.745004

7.133984

10.301696

7.110965

7.468333

7.785338

7.264227

7.125543

7.306876

7.35882

7.232125

7.331549

7.774501

7.299901

0803.1742

Marek Szydlowski

Jakub Mielczarek, Marek Szydlowski

Universe from vacuum in loop-string cosmology

JHEP3 LaTeX class, 19 pages, 9 figures, v2: added some comments and references, v3: new numerical result added, new figures

JCAP0808:014,2008

10.1088/1475-7516/2008/08/014

null

hep-th gr-qc

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

In this paper we study the description of the Universe based on the low energy superstring theory modified by the Loop Quantum Gravity effects.This approach was proposed by De Risi et al. in the Phys. Rev. D {\bf 76} (2007) 103531. We show that in the contrast with the string motivated pre-Big Bang scenario, the cosmological realisation of the $t$-duality transformation is not necessary to avoid an initial singularity. In the model considered the universe starts its evolution in the vacuum phase at time $t\to - \infty$. In this phase the scale factor $a\to 0$, energy density $\rho \to 0$ and coupling of the interactions $g^2_s \to 0$. After this stage the universe evolves to the non-singular hot Big Bang phase $\rho \to \rho_{\text{max}} < \infty$. Then the standard classical universe emerges. During the whole evolution the scale factor increases monotonically. We solve this model analytically. We also propose and solve numerically the model with an additional dilaton potential in which the universe starts the evolution from the asymptotically free vacuum phase $g^2_s \to 0$ and then evolves non-singularly to the emerging dark energy dominated phase with the saturated coupling constant $g^2_s \to \text{const}$.

[ { "created": "Wed, 12 Mar 2008 10:43:08 GMT", "version": "v1" }, { "created": "Tue, 18 Mar 2008 12:28:44 GMT", "version": "v2" }, { "created": "Thu, 10 Jul 2008 18:19:39 GMT", "version": "v3" } ]

2008-11-26

[ [ "Mielczarek", "Jakub", "" ], [ "Szydlowski", "Marek", "" ] ]

In this paper we study the description of the Universe based on the low energy superstring theory modified by the Loop Quantum Gravity effects.This approach was proposed by De Risi et al. in the Phys. Rev. D {\bf 76} (2007) 103531. We show that in the contrast with the string motivated pre-Big Bang scenario, the cosmological realisation of the $t$-duality transformation is not necessary to avoid an initial singularity. In the model considered the universe starts its evolution in the vacuum phase at time $t\to - \infty$. In this phase the scale factor $a\to 0$, energy density $\rho \to 0$ and coupling of the interactions $g^2_s \to 0$. After this stage the universe evolves to the non-singular hot Big Bang phase $\rho \to \rho_{\text{max}} < \infty$. Then the standard classical universe emerges. During the whole evolution the scale factor increases monotonically. We solve this model analytically. We also propose and solve numerically the model with an additional dilaton potential in which the universe starts the evolution from the asymptotically free vacuum phase $g^2_s \to 0$ and then evolves non-singularly to the emerging dark energy dominated phase with the saturated coupling constant $g^2_s \to \text{const}$.

7.355081

7.93173

7.669056

7.346328

7.891714

7.936597

7.915353

7.201452

7.245945

7.631528

7.544107

7.42596

7.214741

6.973433

7.233763

7.312816

7.301486

7.139539

7.077709

7.093085

7.352099

hep-th/0601128

Sven F. Kerstan

Eric A. Bergshoeff, Mees de Roo, Sven F. Kerstan, Tomas Ortin, Fabio Riccioni

IIB Nine-branes

12 pages, minor corrections, references added; published version

JHEP0606:006,2006

10.1088/1126-6708/2006/06/006

null

hep-th

null

We calculate the tensions of all half-supersymmetric nine-branes in IIB string theory. In particular, we point out the existence of a solitonic IIB nine-brane. We find that the D9-brane and its duality transformations parametrize a two-dimensional surface in a four-dimensional space.

[ { "created": "Wed, 18 Jan 2006 16:01:54 GMT", "version": "v1" }, { "created": "Mon, 27 Feb 2006 13:22:17 GMT", "version": "v2" }, { "created": "Tue, 11 Jul 2006 11:37:38 GMT", "version": "v3" } ]

2009-11-11

[ [ "Bergshoeff", "Eric A.", "" ], [ "de Roo", "Mees", "" ], [ "Kerstan", "Sven F.", "" ], [ "Ortin", "Tomas", "" ], [ "Riccioni", "Fabio", "" ] ]

We calculate the tensions of all half-supersymmetric nine-branes in IIB string theory. In particular, we point out the existence of a solitonic IIB nine-brane. We find that the D9-brane and its duality transformations parametrize a two-dimensional surface in a four-dimensional space.

11.345564

9.326967

12.817609

9.640589

9.037136

9.086948

9.907325

9.082445

10.019255

16.406277

8.852939

9.801506

12.030388

10.020181

9.928361

9.520479

10.343387

10.130874

10.091502

12.699621

9.353545

2112.13828

Benjamin Lillard

Confinement On the Moose Lattice

42 pages, 12 figures, 1 table, 1 appendix

null

10.1007/JHEP11(2022)125

null

hep-th hep-ph

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

In this work we present a new class of N=1 supersymmetric confining gauge theories, with strikingly simple infrared theories that descend from intricate interconnected networks of product gauge groups. A diagram of the gauge groups and the charged matter content of the ultraviolet theory has the structure of a triangular lattice, with $SU(N)$ or $SU(3 N)$ gauge groups at each of the vertices, connected by bifundamental chiral superfields. This structure admits a $U(1)_R$ conserving superpotential with marginal trilinear operators. With the introduction of this superpotential, the $SU(3N)$ and $SU(N)$ gauge groups confine: in the far infrared limit of the supersymmetric theory, the relevant degrees of freedom are gauge invariant "mesons" and "baryons." In this paper we show how the properties of the infrared degrees of freedom depend on the topology and shape of the moose/quiver ``lattice'' of the original gauge theory. We investigate various deformations of the theory, and propose some phenomenological applications for BSM models.

[ { "created": "Mon, 27 Dec 2021 18:43:35 GMT", "version": "v1" } ]

2022-12-14

[ [ "Lillard", "Benjamin", "" ] ]

In this work we present a new class of N=1 supersymmetric confining gauge theories, with strikingly simple infrared theories that descend from intricate interconnected networks of product gauge groups. A diagram of the gauge groups and the charged matter content of the ultraviolet theory has the structure of a triangular lattice, with $SU(N)$ or $SU(3 N)$ gauge groups at each of the vertices, connected by bifundamental chiral superfields. This structure admits a $U(1)_R$ conserving superpotential with marginal trilinear operators. With the introduction of this superpotential, the $SU(3N)$ and $SU(N)$ gauge groups confine: in the far infrared limit of the supersymmetric theory, the relevant degrees of freedom are gauge invariant "mesons" and "baryons." In this paper we show how the properties of the infrared degrees of freedom depend on the topology and shape of the moose/quiver ``lattice'' of the original gauge theory. We investigate various deformations of the theory, and propose some phenomenological applications for BSM models.

10.60617

11.289548

10.498003

10.459198

10.723796

10.794166

11.506813

10.598682

10.388626

10.964707

10.182134

10.437568

10.282367

10.318353

10.615839

10.208382

10.273762

10.073831

10.703443

10.392741

10.125486

1208.5763

Andrei Zelnikov

Valeri P. Frolov and Andrei Zelnikov

Anomaly and the self-energy of electric charges

6 pages, a few misprints corrected

null

10.1103/PhysRevD.86.104021

Alberta Thy 12-12

hep-th

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

We study the self energy of a charged particle located in a static D-dimensional gravitational field. We show that the energy functional for this problem is invariant under an infinite dimensional (gauge) group of transformations parameterized by one scalar function of (D-1)-variables. We demonstrate that the problem of the calculation of the self energy for a pointlike charge is equivalent to the calculation of the fluctuations $<\psi^2>$ for an effective (D-1)-dimensional Euclidean quantum field theory. Using point-splitting regularization we obtain an expression for the self energy and show, that it possesses anomalies. Explicit calculation of the self energy and its anomaly is done for the higher dimensional Majumdar-Papapetrou spacetimes.

[ { "created": "Tue, 28 Aug 2012 19:50:54 GMT", "version": "v1" }, { "created": "Fri, 26 Oct 2012 18:07:22 GMT", "version": "v2" } ]

2015-06-11

[ [ "Frolov", "Valeri P.", "" ], [ "Zelnikov", "Andrei", "" ] ]

We study the self energy of a charged particle located in a static D-dimensional gravitational field. We show that the energy functional for this problem is invariant under an infinite dimensional (gauge) group of transformations parameterized by one scalar function of (D-1)-variables. We demonstrate that the problem of the calculation of the self energy for a pointlike charge is equivalent to the calculation of the fluctuations $<\psi^2>$ for an effective (D-1)-dimensional Euclidean quantum field theory. Using point-splitting regularization we obtain an expression for the self energy and show, that it possesses anomalies. Explicit calculation of the self energy and its anomaly is done for the higher dimensional Majumdar-Papapetrou spacetimes.

8.57705

8.356626

7.532127

7.331035

6.903018

8.078988

8.138794

7.646342

8.059237

8.78635

8.07305

8.144683

8.10286

7.825095

8.028086

8.131875

8.198989

8.113535

8.041414

8.407881

7.991016

hep-th/0003073

Eugen Radu

J.J. van der Bij and Eugen Radu

Regular and black-hole solutions of the Einstein-Yang-Mills-Higgs equations; the case of nonminimal coupling

44 pages, small clarifications; 1 figure added

Nucl.Phys.B585:637-665,2000

10.1016/S0550-3213(00)00449-1

Freiburg-THEP 00/1 March 2000

hep-th

null

Regular and black-hole solutions of the spontaneously broken Einstein-Yang-Mills-Higgs theory with nonminimal coupling to gravity are shown to exist. The main characteristics of the solutions are presented and differences with respect to the minimally coupled case are studied. Since negative energy densities are found to be possible, traversable wormhole solutions might exist. We prove that they are absent.

[ { "created": "Thu, 9 Mar 2000 21:33:43 GMT", "version": "v1" }, { "created": "Fri, 2 Mar 2001 19:56:12 GMT", "version": "v2" } ]

2010-11-19

[ [ "van der Bij", "J. J.", "" ], [ "Radu", "Eugen", "" ] ]

Regular and black-hole solutions of the spontaneously broken Einstein-Yang-Mills-Higgs theory with nonminimal coupling to gravity are shown to exist. The main characteristics of the solutions are presented and differences with respect to the minimally coupled case are studied. Since negative energy densities are found to be possible, traversable wormhole solutions might exist. We prove that they are absent.

11.029539

10.770006

8.750172

9.042617

9.736645

9.786393

11.508468

8.399433

10.249098

8.491416

9.195516

9.643694

8.502837

9.367373

9.457866

8.840557

9.709538

8.945656

9.281822

9.524324

9.367038

hep-th/9711137

Vadim Zeitlin

I.V.Tyutin and Vad.Yu.Zeitlin (Lebedev Physical Institute)

Gauge Invariance of QED$_{2+1}$

15 pages, minor misprints corrected

Phys.Atom.Nucl. 61 (1998) 2165-2174; Yad.Fiz. 61 (1998) 2279-2288

null

FIAN/TD/97-16

hep-th hep-ph

null

The problem of gauge invariance of the physical sector of (2+1)-dimensional Maxwell-Chern-Simons quantum electrodynamics (QED$_{2+1}$) is studied. It is shown that using Proca mass term for the infrared regularization one obtains gauge-invariant fermion mass and the physical mass shell of QED$_{2+1}$ is well-defined in all orders of the perturbation theory. We are demonstrating also a class of gauges in the framework of QED$_{2+1}$, including transversal and Feynman-like ones, where the physical sector is well defined and independent of the gauge parameter.

[ { "created": "Tue, 18 Nov 1997 14:26:33 GMT", "version": "v1" }, { "created": "Tue, 20 Jan 1998 14:59:49 GMT", "version": "v2" } ]

2007-05-23

[ [ "Tyutin", "I. V.", "", "Lebedev Physical Institute" ], [ "Zeitlin", "Vad. Yu.", "", "Lebedev Physical Institute" ] ]

The problem of gauge invariance of the physical sector of (2+1)-dimensional Maxwell-Chern-Simons quantum electrodynamics (QED$_{2+1}$) is studied. It is shown that using Proca mass term for the infrared regularization one obtains gauge-invariant fermion mass and the physical mass shell of QED$_{2+1}$ is well-defined in all orders of the perturbation theory. We are demonstrating also a class of gauges in the framework of QED$_{2+1}$, including transversal and Feynman-like ones, where the physical sector is well defined and independent of the gauge parameter.

7.140105

6.291589

7.19329

6.482413

6.987447

6.539216

7.060496

6.199941

6.180439

7.537491

6.658638

6.548224

6.69646

6.720938

6.737714

6.477698

6.788639

6.626799

6.719452

7.034173

6.803376

hep-th/9902148

Vladimir Ivashchuk

S. Cotsakis, V. D. Ivashchuk and V. N. Melnikov

P-brane Black Holes and Post-Newtonian Approximation

12 pages Latex, submit. to Phys. Lett. B

Grav.Cosmol. 5 (1999) 52-57

null

hep-th gr-qc

null

We analyze p-brane black hole solutions with `block-orthogonal' intersection rules. The post-Newtonian parameters beta and gamma corresponding to 4-dimensional section of the metric are calculated. A family of solutions with gamma=1 is singled out. Some examples of solutions (e.g. in D=11 supergravity) are considered.

[ { "created": "Mon, 22 Feb 1999 12:05:04 GMT", "version": "v1" } ]

2007-05-23

[ [ "Cotsakis", "S.", "" ], [ "Ivashchuk", "V. D.", "" ], [ "Melnikov", "V. N.", "" ] ]

We analyze p-brane black hole solutions with `block-orthogonal' intersection rules. The post-Newtonian parameters beta and gamma corresponding to 4-dimensional section of the metric are calculated. A family of solutions with gamma=1 is singled out. Some examples of solutions (e.g. in D=11 supergravity) are considered.

15.021202

9.269183

12.271022

10.82384

10.882075

11.986615

12.619366

9.882182

11.463325

11.939693

12.160729

13.52673

13.262531

12.736869

12.949042

12.361186

13.896899

11.895297

13.663369

14.334769

13.268176

hep-th/9110072

null

A.P.Balachandran, G. Bimonte, K.S.Gupta and A. Stern

Conformal Edge Currents in Chern-Simons Theories

null

Int.J.Mod.Phys. A7 (1992) 4655-4670

10.1142/S0217751X92002106

null

hep-th

null

We develop elementary canonical methods for the quantization of abelian and nonabelian Chern-Simons actions using well known ideas in gauge theories and quantum gravity. Our approach does not involve choice of gauge or clever manipulations of functional integrals. When the spatial slice is a disc, it yields Witten's edge states carrying a representation of the Kac-Moody algebra. The canonical expression for the generators of diffeomorphisms on the boundary of the disc are also found, and it is established that they are the Chern-Simons version of the Sugawara construction. This paper is a prelude to our future publications on edge states, sources, vertex operators, and their spin and statistics in 3D and 4D topological field theories.

[ { "created": "Wed, 30 Oct 1991 02:38:00 GMT", "version": "v1" } ]

2015-06-26

[ [ "Balachandran", "A. P.", "" ], [ "Bimonte", "G.", "" ], [ "Gupta", "K. S.", "" ], [ "Stern", "A.", "" ] ]

We develop elementary canonical methods for the quantization of abelian and nonabelian Chern-Simons actions using well known ideas in gauge theories and quantum gravity. Our approach does not involve choice of gauge or clever manipulations of functional integrals. When the spatial slice is a disc, it yields Witten's edge states carrying a representation of the Kac-Moody algebra. The canonical expression for the generators of diffeomorphisms on the boundary of the disc are also found, and it is established that they are the Chern-Simons version of the Sugawara construction. This paper is a prelude to our future publications on edge states, sources, vertex operators, and their spin and statistics in 3D and 4D topological field theories.

11.171315

10.348227

11.478683

10.642407

10.431252

10.242987

10.68883

10.8332

10.186565

11.757907

10.530584

10.150113

10.991643

10.536657

10.539107

10.491045

10.371571

10.451426

10.479613

11.131119

10.516943

0903.0953

Gyula Fodor

Gyula Fodor, P\'eter Forg\'acs, Zal\'an Horv\'ath and M\'ark Mezei

Radiation of scalar oscillons in 2 and 3 dimensions

7 pages, 3 figures

Phys.Lett.B674:319-324,2009

10.1016/j.physletb.2009.03.054

null

hep-th

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

The radiation loss of small-amplitude radially symmetric oscillons (long-living, spatially localized, time-dependent solutions) in two- and three-dimensional scalar field theories is computed analytically in the small-amplitude expansion. The amplitude of the radiation is beyond all orders in perturbation theory and it is determined using matched asymptotic series expansions and Borel summation. The general results are illustrated on the case of the two- and three-dimensional sine-Gordon theory and a two-dimensional $\phi^6$ model. The analytic predictions are found to be in good agreement with the results of numerical simulations of oscillons.

[ { "created": "Thu, 5 Mar 2009 10:49:11 GMT", "version": "v1" } ]

2009-11-19

[ [ "Fodor", "Gyula", "" ], [ "Forgács", "Péter", "" ], [ "Horváth", "Zalán", "" ], [ "Mezei", "Márk", "" ] ]

The radiation loss of small-amplitude radially symmetric oscillons (long-living, spatially localized, time-dependent solutions) in two- and three-dimensional scalar field theories is computed analytically in the small-amplitude expansion. The amplitude of the radiation is beyond all orders in perturbation theory and it is determined using matched asymptotic series expansions and Borel summation. The general results are illustrated on the case of the two- and three-dimensional sine-Gordon theory and a two-dimensional $\phi^6$ model. The analytic predictions are found to be in good agreement with the results of numerical simulations of oscillons.

6.804632

5.262724

7.220873

5.94062

6.562119

6.312424

6.618243

5.43146

5.650427

7.377811

5.549433

5.894936

7.060253

6.533014

6.450928

6.312889

6.397838

6.432315

6.522446

6.989557

6.166292

hep-th/0302165

Timothy J. Hollowood

Five-Dimensional Gauge Theories and Quantum Mechanical Matrix Models

11 pages, 2 figures, JHEP3.cls, important references added

JHEP 0303:039,2003

10.1088/1126-6708/2003/03/039

null

hep-th

null

We show how the Dijkgraaf-Vafa matrix model proposal can be extended to describe five-dimensional gauge theories compactified on a circle to four dimensions. This involves solving a certain quantum mechanical matrix model. We do this for the lift of the N=1* theory to five dimensions. We show that the resulting expression for the superpotential in the confining vacuum is identical with the elliptic superpotential approach based on Nekrasov's five-dimensional generalization of Seiberg-Witten theory involving the relativistic elliptic Calogero-Moser, or Ruijsenaars-Schneider, integrable system.

[ { "created": "Thu, 20 Feb 2003 12:17:45 GMT", "version": "v1" }, { "created": "Wed, 5 Mar 2003 10:11:15 GMT", "version": "v2" } ]

2010-11-19

[ [ "Hollowood", "Timothy J.", "" ] ]

We show how the Dijkgraaf-Vafa matrix model proposal can be extended to describe five-dimensional gauge theories compactified on a circle to four dimensions. This involves solving a certain quantum mechanical matrix model. We do this for the lift of the N=1* theory to five dimensions. We show that the resulting expression for the superpotential in the confining vacuum is identical with the elliptic superpotential approach based on Nekrasov's five-dimensional generalization of Seiberg-Witten theory involving the relativistic elliptic Calogero-Moser, or Ruijsenaars-Schneider, integrable system.

6.958397

6.158111

8.365126

5.977778

6.086275

6.295382

6.370183

5.932697

5.840745

9.519174

5.863663

6.134181

6.783669

6.144386

6.283743

6.15416

6.330193

6.075824

6.050229

6.730109

6.055294

2309.07440

Taiga Miyachi

Taiga Miyachi, Jiro Soda, Junsei Tokuda

Stochastic tunneling in de Sitter spacetime

39 pages, 10 figures

null

KOBE-COSMO-23-09, CTPU-PTC-23-33

hep-th gr-qc

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

Tunneling processes in de Sitter spacetime are studied by using the stochastic approach. We exploit the Martin-Siggia-Rose-Janssen-de Dominicis (MSRJD) functional integral to obtain the tunneling rate. The applicability conditions of this method are clarified using the Schwinger-Keldysh formalism. In the case of a shallow potential barrier, we reproduce the Hawking-Moss (HM) tunneling rate. Remarkably, in contrast to HM picture, the configuration derived from the MSRJD functional integral satisfies physically natural boundary conditions. We also discuss the case of a steep potential barrier and find an interesting Coleman-de Luccia (CDL) bubble-like configuration. Our results demonstrate how the bubble nucleation process could be described in the stochastic approach. Our method turns out to be useful for investigating various tunneling processes during inflation.

[ { "created": "Thu, 14 Sep 2023 05:45:55 GMT", "version": "v1" }, { "created": "Wed, 20 Sep 2023 05:34:26 GMT", "version": "v2" }, { "created": "Thu, 8 Aug 2024 06:01:44 GMT", "version": "v3" } ]

2024-08-09

[ [ "Miyachi", "Taiga", "" ], [ "Soda", "Jiro", "" ], [ "Tokuda", "Junsei", "" ] ]

Tunneling processes in de Sitter spacetime are studied by using the stochastic approach. We exploit the Martin-Siggia-Rose-Janssen-de Dominicis (MSRJD) functional integral to obtain the tunneling rate. The applicability conditions of this method are clarified using the Schwinger-Keldysh formalism. In the case of a shallow potential barrier, we reproduce the Hawking-Moss (HM) tunneling rate. Remarkably, in contrast to HM picture, the configuration derived from the MSRJD functional integral satisfies physically natural boundary conditions. We also discuss the case of a steep potential barrier and find an interesting Coleman-de Luccia (CDL) bubble-like configuration. Our results demonstrate how the bubble nucleation process could be described in the stochastic approach. Our method turns out to be useful for investigating various tunneling processes during inflation.

7.732451

8.056704

6.993247

6.549046

6.6811

7.1226

6.935871

6.564265

6.618872

7.589835

6.787881

6.558654

6.722156

6.356212

6.486756

6.348075

6.495144

6.363062

6.501078

6.689405

6.428811

1604.06808

Marika Taylor

Marika Taylor and William Woodhead

Renormalized entanglement entropy

44 pages

null

10.1007/JHEP08(2016)165

null

hep-th

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

We develop a renormalization method for holographic entanglement entropy based on area renormalization of entangling surfaces. The renormalized entanglement entropy is derived for entangling surfaces in asymptotically locally anti-de Sitter spacetimes in general dimensions and for entangling surfaces in four dimensional holographic renormalization group flows. The renormalized entanglement entropy for disk regions in $AdS_4$ spacetimes agrees precisely with the holographically renormalized action for $AdS_4$ with spherical slicing and hence with the F quantity, in accordance with the Casini-Huerta-Myers map. We present a generic class of holographic RG flows associated with deformations by operators of dimension $3/2 < \Delta < 5/2$ for which the F quantity increases along the RG flow, hence violating the strong version of the F theorem. We conclude by explaining how the renormalized entanglement entropy can be derived directly from the renormalized partition function using the replica trick i.e. our renormalization method for the entanglement entropy is inherited directly from that of the partition function. We show explicitly how the entanglement entropy counterterms can be derived from the standard holographic renormalization counterterms for asymptotically locally anti-de Sitter spacetimes.

[ { "created": "Fri, 22 Apr 2016 20:01:29 GMT", "version": "v1" } ]

2016-09-21

[ [ "Taylor", "Marika", "" ], [ "Woodhead", "William", "" ] ]

We develop a renormalization method for holographic entanglement entropy based on area renormalization of entangling surfaces. The renormalized entanglement entropy is derived for entangling surfaces in asymptotically locally anti-de Sitter spacetimes in general dimensions and for entangling surfaces in four dimensional holographic renormalization group flows. The renormalized entanglement entropy for disk regions in $AdS_4$ spacetimes agrees precisely with the holographically renormalized action for $AdS_4$ with spherical slicing and hence with the F quantity, in accordance with the Casini-Huerta-Myers map. We present a generic class of holographic RG flows associated with deformations by operators of dimension $3/2 < \Delta < 5/2$ for which the F quantity increases along the RG flow, hence violating the strong version of the F theorem. We conclude by explaining how the renormalized entanglement entropy can be derived directly from the renormalized partition function using the replica trick i.e. our renormalization method for the entanglement entropy is inherited directly from that of the partition function. We show explicitly how the entanglement entropy counterterms can be derived from the standard holographic renormalization counterterms for asymptotically locally anti-de Sitter spacetimes.

5.695397

6.073066

6.785653

5.926721

5.923549

6.072462

6.336991

5.844326

5.770807

7.057982

5.806056

5.80042

5.970735

5.69527

6.002926

5.9864

5.914001

5.896805

5.696405

5.959361

5.804271

hep-th/9610101

Richard Brower

Richard C. Brower (BU/MIT), Kostas N. Orginos and Chung-I Tan (Brown Un.)

Magnetic monopole loop for the Yang-Mills instanton

19 pages, ReVTeX, 5 Encaptulated Postscript figures

Phys.Rev.D55:6313-6326,1997

10.1103/PhysRevD.55.6313

BROWN-HET-1041, MIT-CTP-2570

hep-th hep-lat

null

We investigate 't Hooft-Mandelstam monopoles in QCD in the presence of a single classical instanton configuration. The solution to the Maximal Abelian projection is found to be a circular monopole trajectory with radius $R$ centered on the instanton. At zero loop radius, there is a marginally stable (or flat) direction for loop formation to $O(R^4 logR)$. We argue that loops will form, in the semi-classical limit, due to small perturbations such as the dipole interaction between instanton anti-instanton pairs. As the instanton gas becomes a liquid, the percolation of the monopole loops may therefore provide a semi-classical precursor to the confinement mechanism.

[ { "created": "Tue, 15 Oct 1996 17:03:21 GMT", "version": "v1" } ]

2014-11-18

[ [ "Brower", "Richard C.", "", "BU/MIT" ], [ "Orginos", "Kostas N.", "", "Brown\n Un." ], [ "Tan", "Chung-I", "", "Brown\n Un." ] ]

We investigate 't Hooft-Mandelstam monopoles in QCD in the presence of a single classical instanton configuration. The solution to the Maximal Abelian projection is found to be a circular monopole trajectory with radius $R$ centered on the instanton. At zero loop radius, there is a marginally stable (or flat) direction for loop formation to $O(R^4 logR)$. We argue that loops will form, in the semi-classical limit, due to small perturbations such as the dipole interaction between instanton anti-instanton pairs. As the instanton gas becomes a liquid, the percolation of the monopole loops may therefore provide a semi-classical precursor to the confinement mechanism.

13.228347

13.660991

12.227396

12.075698

13.087383

14.106359

13.9759

12.781596

12.308571

14.535879

12.983094

12.3848

12.414349

11.769623

12.275269

12.481189

12.196581

12.480597

12.123004

12.755431

12.121342

0705.2643

Hermann Nicolai

Thibault Damour and Hermann Nicolai

Symmetries,Singularities and the De-Emergence of Space

10 pages

null

10.1142/S0218271808012206

AEI - 2007 - 013

hep-th

null

Recent work has revealed intriguing connections between a Belinsky-Khalatnikov-Lifshitz-type analysis of spacelike singularities in General Relativity and certain infinite dimensional Lie algebras, and in particular the `maximally extended' hyperbolic Kac--Moody algebra E10. In this essay we argue that these results may lead to an entirely new understanding of the (quantum) nature of space(-time) at the Planck scale, and hence -- via an effective `de-emergence' of space near a singularity -- to a novel mechanism for achieving background independence in quantum gravity.

[ { "created": "Fri, 18 May 2007 07:48:06 GMT", "version": "v1" } ]

2009-11-13

[ [ "Damour", "Thibault", "" ], [ "Nicolai", "Hermann", "" ] ]

Recent work has revealed intriguing connections between a Belinsky-Khalatnikov-Lifshitz-type analysis of spacelike singularities in General Relativity and certain infinite dimensional Lie algebras, and in particular the `maximally extended' hyperbolic Kac--Moody algebra E10. In this essay we argue that these results may lead to an entirely new understanding of the (quantum) nature of space(-time) at the Planck scale, and hence -- via an effective `de-emergence' of space near a singularity -- to a novel mechanism for achieving background independence in quantum gravity.

8.284158

7.783434

7.279791

7.092576

7.190635

7.92494

7.547052

6.943139

7.060841

8.036161

7.568491

7.472922

7.399061

6.825261

7.05018

7.352357

7.1878

7.009034

7.373096

7.480227

7.210287

0909.5611

Valerio Bozza

V. Bozza, M. Bruni

A solution to the anisotropy problem in bouncing cosmologies

9 pages, accepted for publication in JCAP

JCAP 0910:014,2009

10.1088/1475-7516/2009/10/014

null

hep-th astro-ph.CO gr-qc

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

Bouncing cosmologies are often proposed as alternatives to standard inflation for the explanation of the homogeneity and flatness of the universe. In such scenarios, the present cosmological expansion is preceded by a contraction phase. However, during the contraction, in general the anisotropy of the universe grows and eventually leads to a chaotic mixmaster behavior. This would either be hard to reconcile with observations or even lead to a singularity instead of the bounce. In order to preserve a smooth and isotropic bounce, the source for the contraction must have a super-stiff equation of state with $P/\rho=w>1$. In this letter we propose a new mechanism to solve the anisotropy problem for any low-energy value of $w$ by arguing that high energy physics leads to a modification of the equation of state, with the introduction of non-linear terms. In such a scenario, the anisotropy is strongly suppressed during the high energy phase, allowing for a graceful isotropic bounce, even when the low-energy value of $w$ is smaller than unity.

[ { "created": "Wed, 30 Sep 2009 13:55:07 GMT", "version": "v1" } ]

2010-04-30

[ [ "Bozza", "V.", "" ], [ "Bruni", "M.", "" ] ]

Bouncing cosmologies are often proposed as alternatives to standard inflation for the explanation of the homogeneity and flatness of the universe. In such scenarios, the present cosmological expansion is preceded by a contraction phase. However, during the contraction, in general the anisotropy of the universe grows and eventually leads to a chaotic mixmaster behavior. This would either be hard to reconcile with observations or even lead to a singularity instead of the bounce. In order to preserve a smooth and isotropic bounce, the source for the contraction must have a super-stiff equation of state with $P/\rho=w>1$. In this letter we propose a new mechanism to solve the anisotropy problem for any low-energy value of $w$ by arguing that high energy physics leads to a modification of the equation of state, with the introduction of non-linear terms. In such a scenario, the anisotropy is strongly suppressed during the high energy phase, allowing for a graceful isotropic bounce, even when the low-energy value of $w$ is smaller than unity.

6.916965

7.280756

6.126003

6.225553

6.695679

6.5842

6.684236

6.475644

6.789201

6.641709

6.633759

6.165993

6.16928

6.212092

6.241746

6.082139

6.363976

6.118866

6.08604

6.078902

6.107909

hep-th/9411225

David Lamb

D.J.Lamb, A.Z.Capri and S.M. Roy

Massive particle creation in a static 1+1 dimensional spacetime

17 pages, RevTeX, no figures

Mod.Phys.Lett. A9 (1994) 2857-2870

10.1142/S0217732394002707

Alberta Thy-1-93

hep-th gr-qc

null

We show explicitly that there is particle creation in a static spacetime. This is done by studying the field in a coordinate system based on a physical principle which has recently been proposed. There the field is quantized by decomposing it into positive and negative frequency modes on a particular spacelike surface. This decomposition depends explicitly on the surface where the decomposition is performed, so that an observer who travels from one surface to another will observe particle production due to the different vacuum state.

[ { "created": "Tue, 29 Nov 1994 23:39:47 GMT", "version": "v1" } ]

2015-06-26

[ [ "Lamb", "D. J.", "" ], [ "Capri", "A. Z.", "" ], [ "Roy", "S. M.", "" ] ]

We show explicitly that there is particle creation in a static spacetime. This is done by studying the field in a coordinate system based on a physical principle which has recently been proposed. There the field is quantized by decomposing it into positive and negative frequency modes on a particular spacelike surface. This decomposition depends explicitly on the surface where the decomposition is performed, so that an observer who travels from one surface to another will observe particle production due to the different vacuum state.

9.90178

9.086411

9.190709

8.700711

9.810499

9.37006

9.287711

8.561678

8.481461

9.922939

9.244338

9.613165

9.431233

9.018985

9.182432

8.992971

9.494244

9.177291

9.491621

9.327779

8.993176

1205.4972

Kei-Ichi Kondo

N. Fukui, K.-I. Kondo, A. Shibata and T. Shinohara

Magnetic monopole loops generated from two-instanton solutions: Jackiw-Nohl-Rebbi versus 't Hooft instanton

4pages, 2 figures, minor changes

null

10.1103/PhysRevD.86.065020

CHIBA-EP-193/KEK Preprint 2012-9

hep-th hep-ph

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

In our previous paper (Fukui et al., 2010), we have shown that the Jackiw-Nohl-Rebbi two-instanton generates a circular loop of magnetic monopole in the four-dimensional Euclidean SU(2) Yang-Mills theory. On the other hand, it is claimed in Brower, Orginos and Tan (1997) that the 't Hooft two-instanton does not generate magnetic monopole loop. It seems that two results are inconsistent with each other, since the JNR two-instanton converges to the 't Hooft two-instanton in a certain limit. In this paper, we clarify that two results are compatible with each other by demonstrating how the magnetic monopole loop generated from the JNR two-instanton deforms in the process of taking the 't Hooft two-instanton limit.

[ { "created": "Tue, 22 May 2012 16:37:19 GMT", "version": "v1" }, { "created": "Fri, 17 Aug 2012 03:40:46 GMT", "version": "v2" } ]

2013-05-30

[ [ "Fukui", "N.", "" ], [ "Kondo", "K. -I.", "" ], [ "Shibata", "A.", "" ], [ "Shinohara", "T.", "" ] ]

In our previous paper (Fukui et al., 2010), we have shown that the Jackiw-Nohl-Rebbi two-instanton generates a circular loop of magnetic monopole in the four-dimensional Euclidean SU(2) Yang-Mills theory. On the other hand, it is claimed in Brower, Orginos and Tan (1997) that the 't Hooft two-instanton does not generate magnetic monopole loop. It seems that two results are inconsistent with each other, since the JNR two-instanton converges to the 't Hooft two-instanton in a certain limit. In this paper, we clarify that two results are compatible with each other by demonstrating how the magnetic monopole loop generated from the JNR two-instanton deforms in the process of taking the 't Hooft two-instanton limit.

4.565595

4.550524

5.044606

4.559509

5.042187

4.57706

4.723634

4.554883

4.314923

5.295718

4.630875

4.52876

4.374497

4.370565

4.527519

4.399759

4.273827

4.31065

4.426157

4.646504

4.410562

hep-th/0404156

R. Loll

J. Ambjorn (1 and 3), J. Jurkiewicz (2), R. Loll (3) ((1) Niels Bohr Institute, Copenhagen, (2) Jagellonian University, Krakow, (3) Spinoza Institute, Utrecht)

Emergence of a 4D World from Causal Quantum Gravity

11 pages, 3 figures; some short clarifying comments added; final version to appear in Phys. Rev. Lett

Phys.Rev.Lett.93:131301,2004

10.1103/PhysRevLett.93.131301

SPIN-2004/05, ITP-UU-04/11

hep-th gr-qc

null

Causal Dynamical Triangulations in four dimensions provide a background-independent definition of the sum over geometries in nonperturbative quantum gravity, with a positive cosmological constant. We present evidence that a macroscopic four-dimensional world emerges from this theory dynamically.

[ { "created": "Wed, 21 Apr 2004 12:08:33 GMT", "version": "v1" }, { "created": "Thu, 22 Apr 2004 13:52:38 GMT", "version": "v2" }, { "created": "Wed, 28 Apr 2004 08:11:53 GMT", "version": "v3" }, { "created": "Thu, 16 Sep 2004 08:52:06 GMT", "version": "v4" } ]

2010-04-06

[ [ "Ambjorn", "J.", "", "1 and 3" ], [ "Jurkiewicz", "J.", "" ], [ "Loll", "R.", "" ] ]

Causal Dynamical Triangulations in four dimensions provide a background-independent definition of the sum over geometries in nonperturbative quantum gravity, with a positive cosmological constant. We present evidence that a macroscopic four-dimensional world emerges from this theory dynamically.

8.42772

5.579737

8.835108

6.925546

5.909745

5.219144

5.778126

5.845237

5.880092

9.448369

6.616559

6.505463

7.750658

7.193506

6.96875

6.799382

7.375266

6.773176

6.647272

7.58949

7.245309

1103.5070

Dmitry V. Belyaev

Dmitry V. Belyaev, Igor B. Samsonov

Wess-Zumino term in the N=4 SYM effective action revisited

26 pages; minor corrections and improvements

JHEP04(2011)112

10.1007/JHEP04(2011)112

null

hep-th

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

The low-energy effective action for the N=4 super Yang-Mills on the Coulomb branch is known to include an SO(6)-invariant Wess-Zumino (WZ) term for the six scalar fields. For each maximal, non-anomalous subgroup of the SU(4) R-symmetry, we find a four-dimensional form of the WZ term with this subgroup being manifest. We then show that a recently proposed expression for the four-derivative part of the effective action in N=4 USp(4) harmonic superspace yields the WZ term with manifest SO(5) R-symmetry subgroup. The N=2 SU(2) harmonic superspace form of the effective action produces the WZ term with manifest SO(4) x SO(2). We argue that there is no four-dimensional form of the WZ term with manifest SU(3) R-symmetry, which is relevant for N=1 and N=3 superspace formulations of the effective action.

[ { "created": "Fri, 25 Mar 2011 19:53:06 GMT", "version": "v1" }, { "created": "Fri, 1 Apr 2011 20:41:07 GMT", "version": "v2" } ]

2011-05-04

[ [ "Belyaev", "Dmitry V.", "" ], [ "Samsonov", "Igor B.", "" ] ]

The low-energy effective action for the N=4 super Yang-Mills on the Coulomb branch is known to include an SO(6)-invariant Wess-Zumino (WZ) term for the six scalar fields. For each maximal, non-anomalous subgroup of the SU(4) R-symmetry, we find a four-dimensional form of the WZ term with this subgroup being manifest. We then show that a recently proposed expression for the four-derivative part of the effective action in N=4 USp(4) harmonic superspace yields the WZ term with manifest SO(5) R-symmetry subgroup. The N=2 SU(2) harmonic superspace form of the effective action produces the WZ term with manifest SO(4) x SO(2). We argue that there is no four-dimensional form of the WZ term with manifest SU(3) R-symmetry, which is relevant for N=1 and N=3 superspace formulations of the effective action.

5.339605

5.274269

5.487416

4.959724

5.278051

5.36772

5.227874

5.191626

5.163498

6.150295

5.032469

5.05674

5.313837

5.01634

5.111855

5.065372

5.066177

5.011417

4.946661

5.27757

5.187239

hep-th/0610276

Christoph Sieg

Riccardo Apreda, Johanna Erdmenger, Dieter Lust, Christoph Sieg

Adding flavour to the Polchinski-Strassler background

LaTeX, 50 pages, 9 figures

JHEP 0701:079,2007

10.1088/1126-6708/2007/01/079

MPP-2006-116, LMU-ASC 61/06, IFUM 875-FT

hep-th

null

As an extension of holography with flavour, we analyze in detail the embedding of a D7-brane probe into the Polchinski-Strassler gravity background, in which the breaking of conformal symmetry is induced by a 3-form flux G_3. This corresponds to giving masses to the adjoint chiral multiplets. We consider the N=2 supersymmetric case in which one of the adjoint chiral multiplets is kept massless while the masses of the other two are equal. This setup requires a generalization of the known expressions for the backreaction of G_3 in the case of three equal masses to generic mass values. We work to second order in the masses to obtain the embedding of D7-brane probes in the background. At this order, the 2-form potentials corresponding to the background flux induce an 8-form potential which couples to the worldvolume of the D7-branes. We show that the embeddings preserve an SU(2) x SU(2) symmetry. We study possible embeddings both analytically in a particular approximation, as well as numerically. The embeddings preserve supersymmetry, as we investigate using the approach of holographic renormalization. The meson spectrum associated to one of the embeddings found reflects the presence of the adjoint masses by displaying a mass gap.

[ { "created": "Thu, 26 Oct 2006 15:07:52 GMT", "version": "v1" } ]

2009-11-11

[ [ "Apreda", "Riccardo", "" ], [ "Erdmenger", "Johanna", "" ], [ "Lust", "Dieter", "" ], [ "Sieg", "Christoph", "" ] ]

As an extension of holography with flavour, we analyze in detail the embedding of a D7-brane probe into the Polchinski-Strassler gravity background, in which the breaking of conformal symmetry is induced by a 3-form flux G_3. This corresponds to giving masses to the adjoint chiral multiplets. We consider the N=2 supersymmetric case in which one of the adjoint chiral multiplets is kept massless while the masses of the other two are equal. This setup requires a generalization of the known expressions for the backreaction of G_3 in the case of three equal masses to generic mass values. We work to second order in the masses to obtain the embedding of D7-brane probes in the background. At this order, the 2-form potentials corresponding to the background flux induce an 8-form potential which couples to the worldvolume of the D7-branes. We show that the embeddings preserve an SU(2) x SU(2) symmetry. We study possible embeddings both analytically in a particular approximation, as well as numerically. The embeddings preserve supersymmetry, as we investigate using the approach of holographic renormalization. The meson spectrum associated to one of the embeddings found reflects the presence of the adjoint masses by displaying a mass gap.

8.277815

7.339897

8.950473

7.449244

7.445185

7.67972

7.275887

7.449268

8.098195

9.719005

7.31409

8.038623

8.206839

7.643426

7.572885

7.912526

7.727444

7.785917

7.754463

8.251537

7.763692

hep-th/9601029

Andy Strominger

A. Strominger and C. Vafa

Microscopic Origin of the Bekenstein-Hawking Entropy

12 pages. Relatively minor corrections and additions to discussion

Phys.Lett.B379:99-104,1996

10.1016/0370-2693(96)00345-0

HUTP-96/A002, RU-96-01

hep-th gr-qc

null

The Bekenstein-Hawking area-entropy relation $S_{BH}=A/4$ is derived for a class of five-dimensional extremal black holes in string theory by counting the degeneracy of BPS soliton bound states.

[ { "created": "Tue, 9 Jan 1996 22:20:39 GMT", "version": "v1" }, { "created": "Thu, 15 Feb 1996 01:40:05 GMT", "version": "v2" } ]

2009-07-09

[ [ "Strominger", "A.", "" ], [ "Vafa", "C.", "" ] ]

The Bekenstein-Hawking area-entropy relation $S_{BH}=A/4$ is derived for a class of five-dimensional extremal black holes in string theory by counting the degeneracy of BPS soliton bound states.

6.318207

4.641814

4.908911

4.164856

4.049287

4.63149

4.260448

4.046176

4.170105

4.994333

4.365138

4.659568

5.439687

4.615445

4.817328

4.738707

4.534357

4.732993

4.618342

4.945322

4.732788

hep-th/0504040

Jian-Huang She

Bin Chen, Miao Li, Jian-Huang She

The Fate of Massive F-Strings

23 pages, no figures, harvmac; Better treatment of decay rates, Discussion on massless states added, Changes in the abstract and conclusions, Typos corrected,References added

JHEP0506:009,2005

10.1088/1126-6708/2005/06/009

null

hep-th

null

We calculate the semi-inclusive decay rate of an average string state with compactification both in the bosonic string theory and in the superstring theory. We also apply this calculation to a brane-inflation model in a warped geometry and find that the decay rate is greatly suppressed if final strings are all massive and enhanced with one final string massless, which may pose a challenge to this class of models.

[ { "created": "Tue, 5 Apr 2005 11:46:20 GMT", "version": "v1" }, { "created": "Thu, 14 Apr 2005 08:55:06 GMT", "version": "v2" } ]

2009-11-11

[ [ "Chen", "Bin", "" ], [ "Li", "Miao", "" ], [ "She", "Jian-Huang", "" ] ]

We calculate the semi-inclusive decay rate of an average string state with compactification both in the bosonic string theory and in the superstring theory. We also apply this calculation to a brane-inflation model in a warped geometry and find that the decay rate is greatly suppressed if final strings are all massive and enhanced with one final string massless, which may pose a challenge to this class of models.

17.977394

13.462203

18.248236

12.92255

13.664108

13.255766

14.821065

12.921884

14.02143

19.879217

13.392532

14.516364

16.058601

15.111003

14.93317

14.239305

14.965094

14.836883

14.514917

17.259241

14.320741

0907.0468

Sergey Yu. Vernov

Sergey Yu. Vernov (Skobeltsyn Institute of Nuclear Physics, Moscow State University)

Localization of nonlocal cosmological models with quadratic potentials in the case of double roots

20 pages, v4:a few misprints have been corrected

Class.Quant.Grav.27:035006,2010

10.1088/0264-9381/27/3/035006

null

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

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

Nonlocal cosmological models with quadratic potentials are considered. We study the action with an arbitrary analytic function F(\Box_g), which has both double and simple roots. The formulae for nonlocal energy-momentum tensor, which correspond to double roots, have been obtained. The way to find particular solutions for nonlocal Einstein equations in the case when F(\Box_g) has both simple and double roots has been proposed. One and the same functions solve the initial nonlocal Einstein equations and the obtained local Einstein equations.

[ { "created": "Thu, 2 Jul 2009 19:54:49 GMT", "version": "v1" }, { "created": "Wed, 9 Sep 2009 18:50:30 GMT", "version": "v2" }, { "created": "Thu, 31 Dec 2009 16:55:42 GMT", "version": "v3" }, { "created": "Tue, 4 May 2010 18:22:53 GMT", "version": "v4" } ]

2010-05-05

[ [ "Vernov", "Sergey Yu.", "", "Skobeltsyn Institute of Nuclear Physics, Moscow\n State University" ] ]

Nonlocal cosmological models with quadratic potentials are considered. We study the action with an arbitrary analytic function F(\Box_g), which has both double and simple roots. The formulae for nonlocal energy-momentum tensor, which correspond to double roots, have been obtained. The way to find particular solutions for nonlocal Einstein equations in the case when F(\Box_g) has both simple and double roots has been proposed. One and the same functions solve the initial nonlocal Einstein equations and the obtained local Einstein equations.

12.691202

11.84727

12.681322

10.492406

12.436985

12.477033

12.040279

11.528056

11.511483

13.257881

11.830253

12.082465

11.896883

11.587759

12.022854

12.228222

12.318597

11.845704

12.038774

11.864795

12.104612

1406.3956

Hemwati Nandan

Buddhi Vallabh Tripathi, Hemwati Nandan, K D Purohit

Dyonic string-like solution in a non-Abelian gauge theory with two potentials

6 pages

null

hep-th

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

Axially symmetric dyon solutions of a non-Abelian gauge theory model with two potentials are sought. While seeking axially symmetric (flux tube like solutions) for the model, we stumbled upon an exact solution which represents an infinite string-like dyonic configuration with cylindrical symmetry.

[ { "created": "Mon, 16 Jun 2014 10:15:43 GMT", "version": "v1" } ]

2014-06-17

[ [ "Tripathi", "Buddhi Vallabh", "" ], [ "Nandan", "Hemwati", "" ], [ "Purohit", "K D", "" ] ]

Axially symmetric dyon solutions of a non-Abelian gauge theory model with two potentials are sought. While seeking axially symmetric (flux tube like solutions) for the model, we stumbled upon an exact solution which represents an infinite string-like dyonic configuration with cylindrical symmetry.

18.941116

17.858654

17.875332

17.25564

17.714266

17.703672

17.479902

19.616211

18.657444

15.507067

16.318474

17.201387

18.546886

17.588587

16.419838

16.772898

18.014383

17.515997

17.816477

18.222868

17.667309

2304.13926

Kallosh Renata

Renata Kallosh

Is d=4 Maximal Supergravity Special?

18 p

null

hep-th

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

We study candidate counterterms (CT)'s in maximal supergravities in diverse integer dimensions $d \geq 4 $. We find that UV divergences in these theories occur at the number of loops $L$ below certain critical value $L_{cr}$. At $L\geq L_{cr}$ the CT's have nonlinear local supersymmetry and local $H$ symmetry, but the ones below $L_{cr}$ break these symmetries. Therefore deforming the theories by adding the CT's to the action to cancel UV divergences would be inconsistent with BRST. Such divergences with $L < L_{cr}$ were found in maximal supergravities for all integer $d > 4$, but not for $N=5,6,8$ in $d = 4$ so far, which renders the case $d = 4$ special.

[ { "created": "Thu, 27 Apr 2023 02:40:59 GMT", "version": "v1" }, { "created": "Mon, 1 May 2023 17:44:36 GMT", "version": "v2" } ]

2023-05-02

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

We study candidate counterterms (CT)'s in maximal supergravities in diverse integer dimensions $d \geq 4 $. We find that UV divergences in these theories occur at the number of loops $L$ below certain critical value $L_{cr}$. At $L\geq L_{cr}$ the CT's have nonlinear local supersymmetry and local $H$ symmetry, but the ones below $L_{cr}$ break these symmetries. Therefore deforming the theories by adding the CT's to the action to cancel UV divergences would be inconsistent with BRST. Such divergences with $L < L_{cr}$ were found in maximal supergravities for all integer $d > 4$, but not for $N=5,6,8$ in $d = 4$ so far, which renders the case $d = 4$ special.

9.837039

8.905594

9.89047

8.944674

10.521507

9.013557

10.084108

9.582623

9.008706

11.079127

8.831574

9.36412

9.60987

8.982229

9.313071

9.119219

9.038276

9.318041

9.084378

9.674294

9.051708

1308.5047

Ara Ioannisian Dr.

Ara N. Ioannisian

Expectation value of the axial-vector current in the external electromagnetic field

LaTeX 9 pages

null

hep-th hep-ph

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

We are calculated the expectation value of the axial-vector current induced by the vacuum polarization effect of the Dirac field in constant external electromagnetic field. In calculations we use Schwinger's proper time method. The effective Lagrangian has very simple Lorenz invariant form. Along with the anomaly term, it also contains two Lorenz invariant terms. The result is compared with our previous calculation of the photon - Z boson mixing in the magnetic field.

[ { "created": "Fri, 23 Aug 2013 04:33:47 GMT", "version": "v1" } ]

2013-08-26

[ [ "Ioannisian", "Ara N.", "" ] ]

We are calculated the expectation value of the axial-vector current induced by the vacuum polarization effect of the Dirac field in constant external electromagnetic field. In calculations we use Schwinger's proper time method. The effective Lagrangian has very simple Lorenz invariant form. Along with the anomaly term, it also contains two Lorenz invariant terms. The result is compared with our previous calculation of the photon - Z boson mixing in the magnetic field.

13.010067

14.673202

10.627987

10.596424

12.200807

12.965737

12.067959

12.239772

10.822741

12.465526

12.252832

12.163708

11.407028

11.376389

11.584507

11.817933

11.457314

11.819164

11.095294

11.695225

11.516903

1507.04352

Masahiro Nozaki

Masahiro Nozaki, Tokiro Numasawa and Shunji Matsuura

Quantum Entanglement of Fermionic Local Operators

29pages, 7 figures

null

10.1007/JHEP02(2016)150

YITP-15-54

hep-th quant-ph

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

In this paper we study the time evolution of (Renyi) entanglement entropies for locally excited states in four dimensional free massless fermionic field theory. Locally excited states are defined by being acted by various local operators on the ground state. Their excesses are defined by subtracting (Renyi) entanglement entropy for the ground state from those for locally excited states. They finally approach some constant if the subsystem is given by half of the total space. They have spin dependence. They can be interpreted in terms of quasi-particles.

[ { "created": "Wed, 15 Jul 2015 20:00:43 GMT", "version": "v1" } ]

2016-03-23

[ [ "Nozaki", "Masahiro", "" ], [ "Numasawa", "Tokiro", "" ], [ "Matsuura", "Shunji", "" ] ]

In this paper we study the time evolution of (Renyi) entanglement entropies for locally excited states in four dimensional free massless fermionic field theory. Locally excited states are defined by being acted by various local operators on the ground state. Their excesses are defined by subtracting (Renyi) entanglement entropy for the ground state from those for locally excited states. They finally approach some constant if the subsystem is given by half of the total space. They have spin dependence. They can be interpreted in terms of quasi-particles.

10.034471

8.521666

10.712912

8.970967

8.910247

8.37745

8.580268

8.507488

7.839498

10.804729

8.456922

8.543161

9.536275

8.703736

9.036919

8.680964

8.369434

8.536458

8.366341

9.104494

8.993214

hep-th/9606055

Meg Carrington

M.E. Carrington and U. Heinz

Three-Point Functions at Finite Temperature

21 pages LaTeX; one ps-figure; Revised version, contains more references and discussion

Eur.Phys.J.C1:619-625,1998

10.1007/s100520050110

TPR-96-08; DUKE-TH-96-113

hep-th hep-ph

null

We study 3-point functions at finite temperature in the closed time path formalism. We give a general decomposition of the eight component tensor in terms of seven vertex functions. We derive a spectral representation for these seven functions in terms of two independent real spectral functions. We derive relationships between the seven functions and obtain a representation of the vertex tensor that greatly simplifies calculations in real time.

[ { "created": "Tue, 11 Jun 1996 08:01:39 GMT", "version": "v1" }, { "created": "Wed, 31 Jul 1996 07:10:05 GMT", "version": "v2" }, { "created": "Thu, 13 Mar 1997 11:17:11 GMT", "version": "v3" } ]

2009-10-09

[ [ "Carrington", "M. E.", "" ], [ "Heinz", "U.", "" ] ]

We study 3-point functions at finite temperature in the closed time path formalism. We give a general decomposition of the eight component tensor in terms of seven vertex functions. We derive a spectral representation for these seven functions in terms of two independent real spectral functions. We derive relationships between the seven functions and obtain a representation of the vertex tensor that greatly simplifies calculations in real time.

12.617479

11.924457

10.070553

11.55605

11.307852

11.485284

11.283716

11.679743

10.907168

11.463016

11.865086

11.903981

10.602567

11.318154

11.771699

12.247269

11.835287

11.833005

11.608949

10.651168

12.010846

0903.3321

Sujoy Modak

Rabin Banerjee, Sujoy Kumar Modak

Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method

references added, typos corrected, LaTeX, 28 pages, no figures, to appear in JHEP

JHEP 0905:063,2009

10.1088/1126-6708/2009/05/063

null

hep-th gr-qc

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

We give a new and conceptually simple approach to obtain the first law of black hole thermodynamics from a basic thermodynamical property that entropy (S) for any stationary black hole is a state function implying that dS must be an exact differential. Using this property we obtain some conditions which are analogous to Maxwell's relations in ordinary thermodynamics. From these conditions we are able to explicitly calculate the semiclassical Bekenstein-Hawking entropy, considering the most general metric represented by the Kerr-Newman spacetime. We extend our method to find the corrected entropy of stationary black holes in (3+1) dimensions. For that we first calculate the corrected Hawking temperature considering both scalar particle and fermion tunneling beyond the semiclassical approximation. Using this corrected Hawking temperature we compute the corrected entropy, based on properties of exact differentials. The connection of the coefficient of the leading (logarithmic) correction with the trace anomaly of the stress tensor is established . We explicitly calculate this coefficient for stationary black holes with various metrics, emphasising the role of Komar integrals.

[ { "created": "Thu, 19 Mar 2009 13:32:30 GMT", "version": "v1" }, { "created": "Mon, 4 May 2009 07:24:55 GMT", "version": "v2" } ]

2009-07-09

[ [ "Banerjee", "Rabin", "" ], [ "Modak", "Sujoy Kumar", "" ] ]

We give a new and conceptually simple approach to obtain the first law of black hole thermodynamics from a basic thermodynamical property that entropy (S) for any stationary black hole is a state function implying that dS must be an exact differential. Using this property we obtain some conditions which are analogous to Maxwell's relations in ordinary thermodynamics. From these conditions we are able to explicitly calculate the semiclassical Bekenstein-Hawking entropy, considering the most general metric represented by the Kerr-Newman spacetime. We extend our method to find the corrected entropy of stationary black holes in (3+1) dimensions. For that we first calculate the corrected Hawking temperature considering both scalar particle and fermion tunneling beyond the semiclassical approximation. Using this corrected Hawking temperature we compute the corrected entropy, based on properties of exact differentials. The connection of the coefficient of the leading (logarithmic) correction with the trace anomaly of the stress tensor is established . We explicitly calculate this coefficient for stationary black holes with various metrics, emphasising the role of Komar integrals.

9.54746

10.835799

9.495545

9.572233

10.415219

10.68576

10.563496

9.541945

10.149787

10.221762

9.679922

9.40042

9.332261

9.410215

9.409328

9.819013

9.798464

9.856587

9.705492

9.712639

9.194398

0803.4472

Mark G. Jackson

Spin-Statistics Violations from Heterotic String Worldsheet Instantons

4 pages, 2 figures; v2: references added

Phys.Rev.D77:127901,2008

10.1103/PhysRevD.77.127901

FERMILAB-PUB-08-072-A-T

hep-th

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

In this paper we consider the role that worldsheet instantons in the heterotic string could play in spin-statistics violations. Such violations are nonperturbative in the string tension and so would not appear in the spacetime effective action, producing a unique signature of string theory and the details of compactification. By performing a Bogomol'nyi transformation it is shown that there are no instanton solutions in the simplest model proposed by Harvey and Liu, but it is conjectured that more sophisticated models may yield solutions. If such instantons do exist, their effect might be measured by upcoming experiments.

[ { "created": "Mon, 31 Mar 2008 15:15:55 GMT", "version": "v1" }, { "created": "Thu, 24 Jul 2008 03:40:41 GMT", "version": "v2" } ]

2008-11-26

[ [ "Jackson", "Mark G.", "" ] ]

In this paper we consider the role that worldsheet instantons in the heterotic string could play in spin-statistics violations. Such violations are nonperturbative in the string tension and so would not appear in the spacetime effective action, producing a unique signature of string theory and the details of compactification. By performing a Bogomol'nyi transformation it is shown that there are no instanton solutions in the simplest model proposed by Harvey and Liu, but it is conjectured that more sophisticated models may yield solutions. If such instantons do exist, their effect might be measured by upcoming experiments.

11.871602

11.906138

11.537862

10.22008

11.718257

12.631675

12.182567

11.61971

10.780179

11.700293

11.594751

11.552087

10.880363

11.05266

10.898516

11.519267

11.260534

10.834422

11.200575

10.659978

11.053298

1608.05077

Michael Mulligan

Shamit Kachru, Michael Mulligan, Gonzalo Torroba, and Huajia Wang

Bosonization and Mirror Symmetry

24 pages, 2 figures, 1 appendix

Phys. Rev. D 94, 085009 (2016)

10.1103/PhysRevD.94.085009

null

hep-th cond-mat.str-el

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

We study bosonization in 2+1 dimensions using mirror symmetry, a duality that relates pairs of supersymmetric theories. Upon breaking supersymmetry in a controlled way, we dynamically obtain the bosonization duality that equates the theory of a free Dirac fermion to QED3 with a single scalar boson. This duality may be used to demonstrate the bosonization duality relating an $O(2)$-symmetric Wilson-Fisher fixed point to QED3 with a single Dirac fermion, Peskin-Dasgupta-Halperin duality, and the recently conjectured duality relating the theory of a free Dirac fermion to fermionic QED3 with a single flavor. Chern-Simons and BF couplings for both dynamical and background gauge fields play a central role in our approach. In the course of our study, we describe a chiral mirror pair that may be viewed as the minimal supersymmetric generalization of the two bosonization dualities.

[ { "created": "Wed, 17 Aug 2016 20:00:02 GMT", "version": "v1" } ]

2016-10-19

[ [ "Kachru", "Shamit", "" ], [ "Mulligan", "Michael", "" ], [ "Torroba", "Gonzalo", "" ], [ "Wang", "Huajia", "" ] ]

We study bosonization in 2+1 dimensions using mirror symmetry, a duality that relates pairs of supersymmetric theories. Upon breaking supersymmetry in a controlled way, we dynamically obtain the bosonization duality that equates the theory of a free Dirac fermion to QED3 with a single scalar boson. This duality may be used to demonstrate the bosonization duality relating an $O(2)$-symmetric Wilson-Fisher fixed point to QED3 with a single Dirac fermion, Peskin-Dasgupta-Halperin duality, and the recently conjectured duality relating the theory of a free Dirac fermion to fermionic QED3 with a single flavor. Chern-Simons and BF couplings for both dynamical and background gauge fields play a central role in our approach. In the course of our study, we describe a chiral mirror pair that may be viewed as the minimal supersymmetric generalization of the two bosonization dualities.

6.66638

6.570797

7.995902

6.901011

6.577934

6.934943

6.346432

7.002557

6.307474

7.675182

6.377779

5.94918

6.760656

6.400844

6.341015

6.215568

6.340086

6.212626

6.345944

6.948635

6.159528

0812.0248

Ralph Blumenhagen

Gauge Coupling Unification in F-theory GUT Models

4 pages, 3 figures, v2: clarifying comments and refs. added, v3: footnote [24] added

Phys.Rev.Lett.102:071601,2009

10.1103/PhysRevLett.102.071601

MPP-2008-147

hep-th hep-ph

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

We investigate gauge coupling unification for F-theory respectively Type IIB orientifold constructions of SU(5) GUT theories with gauge symmetry breaking via non-trivial hypercharge flux. This flux has the non-trivial effect that it splits the values of the three MSSM gauge couplings at the string scale, thus potentially spoiling the celebrated one-loop gauge coupling unification. It is shown how F-theory can evade this problem in a natural way.

[ { "created": "Mon, 1 Dec 2008 18:10:19 GMT", "version": "v1" }, { "created": "Wed, 3 Dec 2008 17:18:06 GMT", "version": "v2" }, { "created": "Mon, 2 Mar 2009 09:15:41 GMT", "version": "v3" } ]

2009-03-02

[ [ "Blumenhagen", "Ralph", "" ] ]

We investigate gauge coupling unification for F-theory respectively Type IIB orientifold constructions of SU(5) GUT theories with gauge symmetry breaking via non-trivial hypercharge flux. This flux has the non-trivial effect that it splits the values of the three MSSM gauge couplings at the string scale, thus potentially spoiling the celebrated one-loop gauge coupling unification. It is shown how F-theory can evade this problem in a natural way.

8.748808

7.359044

7.860379

7.205017

7.48767

7.114964

7.097296

7.127807

7.037317

8.764338

7.571433

7.275322

7.721878

7.471281

7.551372

7.458074

7.599786

7.419441

7.219896

7.898682

7.306255

hep-th/9512173

null

Chan Hong-Mo, J. Faridani, Tsou Sheung Tsun

A Generalized Duality Symmetry for Nonabelian Yang-Mills Fields

Latex file, 26 pages, 3 figures and 2 charts not included but supplied on request

Phys.Rev. D53 (1996) 7293-7305

10.1103/PhysRevD.53.7293

RAL-TR-95-076

hep-th

null

It is shown that classical nonsupersymmetric Yang-Mills theory in 4 dimensions is symmetric under a generalized dual transform which reduces to the usual dual *-operation for electromagnetism. The parallel phase transport $\tilde{A}_\mu(x)$ constructed earlier for monopoles is seen to function also as a potential in giving full description of the gauge field, playing thus an entirely dual symmetric role to the usual potential $A_\mu(x)$. Sources of $A$ are monopoles of $\tilde{A}$ and vice versa, and the Wu-Yang criterion for monopoles is found to yield as equations of motion the standard Wong and Yang-Mills equations for respectively the classical and Dirac point charge; this applies whether the charge is electric or magnetic, the two cases being related just by a dual transform. The dual transformation itself is explicit, though somewhat complicated, being given in terms of loop space variables of the Polyakov type.

[ { "created": "Thu, 21 Dec 1995 11:03:35 GMT", "version": "v1" }, { "created": "Fri, 22 Dec 1995 10:27:44 GMT", "version": "v2" } ]

2009-10-28

[ [ "Hong-Mo", "Chan", "" ], [ "Faridani", "J.", "" ], [ "Tsun", "Tsou Sheung", "" ] ]

It is shown that classical nonsupersymmetric Yang-Mills theory in 4 dimensions is symmetric under a generalized dual transform which reduces to the usual dual *-operation for electromagnetism. The parallel phase transport $\tilde{A}_\mu(x)$ constructed earlier for monopoles is seen to function also as a potential in giving full description of the gauge field, playing thus an entirely dual symmetric role to the usual potential $A_\mu(x)$. Sources of $A$ are monopoles of $\tilde{A}$ and vice versa, and the Wu-Yang criterion for monopoles is found to yield as equations of motion the standard Wong and Yang-Mills equations for respectively the classical and Dirac point charge; this applies whether the charge is electric or magnetic, the two cases being related just by a dual transform. The dual transformation itself is explicit, though somewhat complicated, being given in terms of loop space variables of the Polyakov type.

14.698233

15.755887

17.04327

14.426282

15.171208

15.886024

15.741049

15.625133

14.709776

16.836636

14.733848

14.262246

14.653455

14.685307

15.322991

14.875898

14.875774

14.588708

14.581737

14.301988

14.645797

1209.2127

Jay Armas

Jay Armas, Jakob Gath, Niels A. Obers

Black Branes as Piezoelectrics

v2: 9 pages; important sign corrections in section 3 and other minor corrections; published in PRL

Phys.Rev.Lett. 109 (2012) 241101

10.1103/PhysRevLett.109.241101

null

hep-th gr-qc

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

We find a realization of linear electroelasticity theory in gravitational physics by uncovering a new response coefficient of charged black branes, exhibiting their piezoelectric behavior. Taking charged dilatonic black strings as an example and using the blackfold approach we measure their elastic and piezolectric moduli. We also use our results to draw predictions about the equilibrium condition of charged dilatonic black rings in dimensions higher than six.

[ { "created": "Mon, 10 Sep 2012 20:00:12 GMT", "version": "v1" }, { "created": "Mon, 1 Jul 2013 09:31:24 GMT", "version": "v2" } ]

2014-12-23

[ [ "Armas", "Jay", "" ], [ "Gath", "Jakob", "" ], [ "Obers", "Niels A.", "" ] ]

We find a realization of linear electroelasticity theory in gravitational physics by uncovering a new response coefficient of charged black branes, exhibiting their piezoelectric behavior. Taking charged dilatonic black strings as an example and using the blackfold approach we measure their elastic and piezolectric moduli. We also use our results to draw predictions about the equilibrium condition of charged dilatonic black rings in dimensions higher than six.

19.07234

16.265162

18.607414

17.118759

17.012817

17.277643

17.686064

16.934378

17.297981

21.235733

17.743017

18.705458

18.152802

17.820032

17.363766

17.070377

17.146544

18.087963

17.755508

19.162582

17.643793

1405.2065

Brandon Robinson

Kristan Jensen, Andreas Karch, and Brandon Robinson

The holographic dual of a Hawking pair has a wormhole

17 pages, 8 figures; references updated

Phys. Rev. D 90, 064019 (2014)

10.1103/PhysRevD.90.064019

YITP-SB-14-11

hep-th gr-qc

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

In previous work, two of us constructed the holographic dual of a single Einstein-Podolsky-Rosen (EPR) pair in maximally supersymmetric Yang-Mills theory. Here we extend that work in two directions. First, we use a Randall-Sundrum brane to couple the entangled pair to dynamical gravity. Second, we consider the entangled pair in the background of a black hole with the particles on opposite sides of the horizon, turning the EPR pair into a Hawking pair. We give general arguments that ER=EPR should be understood as a duality between two equivalent descriptions of the same physical reality.

[ { "created": "Thu, 8 May 2014 19:46:20 GMT", "version": "v1" }, { "created": "Fri, 23 May 2014 18:39:27 GMT", "version": "v2" } ]

2014-09-17

[ [ "Jensen", "Kristan", "" ], [ "Karch", "Andreas", "" ], [ "Robinson", "Brandon", "" ] ]

In previous work, two of us constructed the holographic dual of a single Einstein-Podolsky-Rosen (EPR) pair in maximally supersymmetric Yang-Mills theory. Here we extend that work in two directions. First, we use a Randall-Sundrum brane to couple the entangled pair to dynamical gravity. Second, we consider the entangled pair in the background of a black hole with the particles on opposite sides of the horizon, turning the EPR pair into a Hawking pair. We give general arguments that ER=EPR should be understood as a duality between two equivalent descriptions of the same physical reality.

6.510976

6.019347

7.213724

6.028427

6.044874

5.905445

6.324786

5.94658

5.709672

6.919851

5.828761

5.909931

6.328496

5.927049

6.02202

5.931602

5.84083

5.921101

6.114148

6.631061

6.033201

1709.01749

Vladimir Bashmakov

Vladimir Bashmakov, Matteo Bertolini, Himanshu Raj

On non-supersymmetric conformal manifolds: field theory and holography

30 pages, figures. v3: discussion on contribution of graviton exchange extended + minor corrections

null

10.1007/JHEP11(2017)167

null

hep-th

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

We discuss the constraints that a conformal field theory should enjoy to admit exactly marginal deformations, i.e. to be part of a conformal manifold. In particular, using tools from conformal perturbation theory, we derive a sum rule from which one can extract restrictions on the spectrum of low spin operators and on the behavior of OPE coefficients involving nearly marginal operators. We then consider conformal field theories admitting a gravity dual description, and as such a large-$N$ expansion. We discuss the relation between conformal perturbation theory and loop expansion in the bulk, and show how such connection could help in the search for conformal manifolds beyond the planar limit. Our results do not rely on supersymmetry, and therefore apply also outside the realm of superconformal field theories.

[ { "created": "Wed, 6 Sep 2017 09:57:10 GMT", "version": "v1" }, { "created": "Thu, 14 Sep 2017 17:35:35 GMT", "version": "v2" }, { "created": "Sat, 11 Nov 2017 19:31:23 GMT", "version": "v3" } ]

2018-01-17

[ [ "Bashmakov", "Vladimir", "" ], [ "Bertolini", "Matteo", "" ], [ "Raj", "Himanshu", "" ] ]

We discuss the constraints that a conformal field theory should enjoy to admit exactly marginal deformations, i.e. to be part of a conformal manifold. In particular, using tools from conformal perturbation theory, we derive a sum rule from which one can extract restrictions on the spectrum of low spin operators and on the behavior of OPE coefficients involving nearly marginal operators. We then consider conformal field theories admitting a gravity dual description, and as such a large-$N$ expansion. We discuss the relation between conformal perturbation theory and loop expansion in the bulk, and show how such connection could help in the search for conformal manifolds beyond the planar limit. Our results do not rely on supersymmetry, and therefore apply also outside the realm of superconformal field theories.

7.669705

6.869722

9.151727

7.110487

7.149687

7.211897

7.164861

6.967171

7.128596

9.085119

7.471411

7.176377

8.325151

7.462597

7.577533

7.20329

7.518597

7.328681

7.325675

7.822431

7.259703

1711.10592

Cliff Burgess

C.P. Burgess

Intro to Effective Field Theories and Inflation

null

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

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

These notes present an introduction to $\Lambda$CDM cosmology and its possible inflationary precursor, with an emphasis on some of the ways effective field theories are used in its analysis. The intended audience are graduate students in particle physics, such as attended the lectures (prepared for the Les Houches Summer School, Effective Field Theory in Particle Physics and Cosmology, July 2017).

[ { "created": "Tue, 28 Nov 2017 22:33:54 GMT", "version": "v1" } ]

2017-11-30

[ [ "Burgess", "C. P.", "" ] ]

These notes present an introduction to $\Lambda$CDM cosmology and its possible inflationary precursor, with an emphasis on some of the ways effective field theories are used in its analysis. The intended audience are graduate students in particle physics, such as attended the lectures (prepared for the Les Houches Summer School, Effective Field Theory in Particle Physics and Cosmology, July 2017).

11.375724

10.098619

9.132067

9.101824

11.807664

10.606984

11.472788

10.871878

9.315883

9.807946

9.84646

8.897497

8.86752

8.661089

9.185685

8.903989

9.065142

8.737478

8.862329

8.560167

8.194426

hep-th/9403124

Matthias Doerrzapf

Singular Vectors of the $N=2$ Superconformal Algebra

32 pages, LaTeX, several misprints corrected, some references and one section added. (version accepted for publication in Int. J. of Mod. Phys. A)

Int.J.Mod.Phys. A10 (1995) 2143-2180

10.1142/S0217751X95001042

DAMTP 94-14

hep-th

null

We derive a set of recursion formulae to construct singular vectors for the $N=2$ (untwisted) algebra, by using the approach of Bauer, di Francesco, Itzykson and Zuber. Applying these formulae, we obtain explicit expressions for the charged singular vectors and for a class of uncharged singular vectors.

[ { "created": "Mon, 21 Mar 1994 19:17:30 GMT", "version": "v1" }, { "created": "Mon, 16 Jan 1995 16:43:56 GMT", "version": "v2" } ]

2009-10-28

[ [ "Doerrzapf", "Matthias", "" ] ]

We derive a set of recursion formulae to construct singular vectors for the $N=2$ (untwisted) algebra, by using the approach of Bauer, di Francesco, Itzykson and Zuber. Applying these formulae, we obtain explicit expressions for the charged singular vectors and for a class of uncharged singular vectors.

10.599966

7.119905

10.348979

8.015575

8.307765

7.339395

7.96403

6.944359

7.740052

11.296968

8.057775

8.243853

9.339544

8.645

8.481016

8.345797

8.425511

8.741208

8.474401

10.256471

8.771926

hep-th/9607103

Bertrand Le Roy

A Z_3-graded generalization of supermatrices

null

J.Math.Phys. 37 (1996) 474-483

10.1063/1.531688

null

hep-th

null

We introduce Z_3-graded objects which are the generalization of the more familiar Z_2-graded objects that are used in supersymmetric theories and in many models of non-commutative geometry. First, we introduce the Z_3-graded Grassmann algebra, and we use this object to construct the Z_3-matrices, which are the generalizations of the supermatrices. Then, we generalize the concepts of supertrace and superdeterminant.

[ { "created": "Fri, 12 Jul 1996 11:45:08 GMT", "version": "v1" } ]

2009-10-30

[ [ "Roy", "Bertrand Le", "" ] ]

We introduce Z_3-graded objects which are the generalization of the more familiar Z_2-graded objects that are used in supersymmetric theories and in many models of non-commutative geometry. First, we introduce the Z_3-graded Grassmann algebra, and we use this object to construct the Z_3-matrices, which are the generalizations of the supermatrices. Then, we generalize the concepts of supertrace and superdeterminant.

6.434263

6.08719

5.92621

5.416064

5.826799

5.694987

5.877047

5.560207

5.747341

6.210645

5.817316

5.76279

5.796377

5.653631

5.605994

5.56318

5.695151

5.642104

5.714245

5.607805

6.02819

hep-th/9404105

null

Vahid Karimipour (Sharif University of Technology, Tehran, Iran)

Bicovariant Differential Geometry of the Quantum Group $SL_h(2)$

null

Lett.Math.Phys. 35 (1995) 303-311

10.1007/BF00750837

null

hep-th math.QA

null

There are only two quantum group structures on the space of two by two unimodular matrices, these are the $SL_q(2)$ and the $SL_h(2)$ [9-13] quantum groups. One can not construct a differential geometry on $ SL_q(2)$, which at the same time is bicovariant, has three generators, and satisfies the Liebnitz rule. We show that such a differential geometry exists for the quantum group $SL_h(2)$ and derive all of its properties.

[ { "created": "Mon, 18 Apr 1994 16:50:45 GMT", "version": "v1" }, { "created": "Mon, 10 Oct 1994 15:23:29 GMT", "version": "v2" } ]

2009-10-28

[ [ "Karimipour", "Vahid", "", "Sharif University of Technology, Tehran, Iran" ] ]

There are only two quantum group structures on the space of two by two unimodular matrices, these are the $SL_q(2)$ and the $SL_h(2)$ [9-13] quantum groups. One can not construct a differential geometry on $ SL_q(2)$, which at the same time is bicovariant, has three generators, and satisfies the Liebnitz rule. We show that such a differential geometry exists for the quantum group $SL_h(2)$ and derive all of its properties.

8.749596

8.303276

8.405895

7.69289

8.110785

8.233687

8.412368

8.857811

7.868757

9.22964

7.905186

7.495076

7.861361

7.478206

7.79249

7.601221

7.75555

7.770135

7.76119

8.048889

7.576088

hep-th/9808159

Bjoern Andreas

Bjorn Andreas

N=1 Heterotic/F-Theory Duality

82pp,latex

Fortsch.Phys.47:587-642,1999

10.1002/(SICI)1521-3978(199906)47:6<587::AID-PROP587>3.0.CO;2-5

null

hep-th

null

We review aspects of N=1 duality between the heterotic string and F-theory. After a description of string duality intended for the non-specialist the framework and the constraints for heterotic/F-theory compactifications are presented. The computations of the necessary Calabi-Yau manifold and vector bundle data, involving characteristic classes and bundle moduli, are given in detail. The matching of the spectrum of chiral multiplets and of the number of heterotic five-branes respectively F-theory three-branes, needed for anomaly cancellation in four-dimensional vacua, is pointed out. Several examples of four-dimensional dual pairs are constructed where on both sides the geometry of the involved manifolds relies on del Pezzo surfaces.

[ { "created": "Wed, 26 Aug 1998 13:43:47 GMT", "version": "v1" } ]

2016-04-13

[ [ "Andreas", "Bjorn", "" ] ]

We review aspects of N=1 duality between the heterotic string and F-theory. After a description of string duality intended for the non-specialist the framework and the constraints for heterotic/F-theory compactifications are presented. The computations of the necessary Calabi-Yau manifold and vector bundle data, involving characteristic classes and bundle moduli, are given in detail. The matching of the spectrum of chiral multiplets and of the number of heterotic five-branes respectively F-theory three-branes, needed for anomaly cancellation in four-dimensional vacua, is pointed out. Several examples of four-dimensional dual pairs are constructed where on both sides the geometry of the involved manifolds relies on del Pezzo surfaces.

11.928093

11.373194

14.546679

10.586931

11.21341

10.597264

11.227648

11.287989

10.463787

13.072333

11.779982

11.296313

11.350962

11.034081

11.456333

11.063572

11.21046

11.673999

11.162426

11.546956

11.030889

hep-th/9912009

Peter Orland

Peter Orland (Graduate Center and Baruch College, CUNY) and Gordon W. Semenoff (University of British Columbia)

Extremal Curves in 2+1-Dimensional Yang-Mills Theory

Typographical errors and some misleading statements corrected

Nucl.Phys. B576 (2000) 627-654

10.1016/S0550-3213(00)00134-6

BCUNY-HEP-99-3

hep-th

null

We examine the structure of the potential energy of 2+1-dimensional Yang-Mills theory on a torus with gauge group SU(2). We use a standard definition of distance on the space of gauge orbits. A curve of extremal potential energy in orbit space defines connections satisfying a certain partial differential equation. We argue that the energy spectrum is gapped because the extremal curves are of finite length. Though classical gluon waves satisfy our differential equation, they are not extremal curves. We construct examples of extremal curves and find how the length of these curves depends on the dimensions of the torus. The intersections with the Gribov horizon are determined explicitly. The results are discussed in the context of Feynman's ideas about the origin of the mass gap.

[ { "created": "Wed, 1 Dec 1999 19:00:25 GMT", "version": "v1" }, { "created": "Fri, 10 Mar 2000 18:35:23 GMT", "version": "v2" } ]

2009-10-31

[ [ "Orland", "Peter", "", "Graduate Center and Baruch College, CUNY" ], [ "Semenoff", "Gordon W.", "", "University of British Columbia" ] ]

We examine the structure of the potential energy of 2+1-dimensional Yang-Mills theory on a torus with gauge group SU(2). We use a standard definition of distance on the space of gauge orbits. A curve of extremal potential energy in orbit space defines connections satisfying a certain partial differential equation. We argue that the energy spectrum is gapped because the extremal curves are of finite length. Though classical gluon waves satisfy our differential equation, they are not extremal curves. We construct examples of extremal curves and find how the length of these curves depends on the dimensions of the torus. The intersections with the Gribov horizon are determined explicitly. The results are discussed in the context of Feynman's ideas about the origin of the mass gap.

10.347906

10.855431

10.254419

9.823915

11.019549

10.621799

10.421588

10.447972

10.33374

12.202904

9.980438

10.453877

9.967768

9.756399

10.049329

10.132579

10.39314

10.245902

9.973416

10.235958

10.04397

1210.1719

George Papadopoulos

G. Papadopoulos

New potentials for conformal mechanics

15 pages, significant changes, references added

null

10.1088/0264-9381/30/7/075018

null

hep-th physics.class-ph quant-ph

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

We find under some mild assumptions that the most general potential of 1-dimensional conformal systems with time independent couplings is expressed as $V=V_0+V_1$, where $V_0$ is a homogeneous function with respect to a homothetic motion in configuration space and $V_1$ is determined from an equation with source a homothetic potential. Such systems admit at most an $SL(2,\bR)$ conformal symmetry which, depending on the couplings, is embedded in Diff(R)$ in three different ways. In one case, $SL(2,\bR)$ is also embedded in Diff(S^1). Examples of such models include those with potential $V=\alpha x^2+\beta x^{-2}$ for arbitrary couplings $\alpha$ and $\beta$, the Calogero models with harmonic oscillator couplings and non-linear models with suitable metrics and potentials. In addition, we give the conditions on the couplings for a class of gauge theories to admit a $SL(2,\bR)$ conformal symmetry. We present examples of such systems with general gauge groups and global symmetries that include the isometries of $AdS_2 x S^3$ and $AdS_2 x S^3 x S^3$ which arise as backgrounds in $AdS_2/CFT_1$.

[ { "created": "Fri, 5 Oct 2012 11:52:05 GMT", "version": "v1" }, { "created": "Fri, 12 Oct 2012 13:45:09 GMT", "version": "v2" } ]

2015-06-11

[ [ "Papadopoulos", "G.", "" ] ]

We find under some mild assumptions that the most general potential of 1-dimensional conformal systems with time independent couplings is expressed as $V=V_0+V_1$, where $V_0$ is a homogeneous function with respect to a homothetic motion in configuration space and $V_1$ is determined from an equation with source a homothetic potential. Such systems admit at most an $SL(2,\bR)$ conformal symmetry which, depending on the couplings, is embedded in Diff(R)$ in three different ways. In one case, $SL(2,\bR)$ is also embedded in Diff(S^1). Examples of such models include those with potential $V=\alpha x^2+\beta x^{-2}$ for arbitrary couplings $\alpha$ and $\beta$, the Calogero models with harmonic oscillator couplings and non-linear models with suitable metrics and potentials. In addition, we give the conditions on the couplings for a class of gauge theories to admit a $SL(2,\bR)$ conformal symmetry. We present examples of such systems with general gauge groups and global symmetries that include the isometries of $AdS_2 x S^3$ and $AdS_2 x S^3 x S^3$ which arise as backgrounds in $AdS_2/CFT_1$.

7.666617

7.970518

7.706223

7.367803

8.108516

7.944913

7.998959

7.78623

7.413908

9.03677

7.560807

7.461766

7.527811

7.214563

7.59324

7.599932

7.182141

7.302493

7.236962

7.598583

7.368213

1010.5126

Ioannis Florakis

String Vacua with Massive boson-fermion Degeneracy & Non-Singular Cosmology

8 pages

null

10.1002/prop.201100033

null

hep-th

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

We discuss marginal deformations of string vacua with Massive boson-fermion Degeneracy Symmetry (MSDS), in connection to the cosmological evolution of the Universe from an early non-geometrical era. In particular, we discuss recent results on the stringy mechanism that resolves both Hagedorn divergences and the Initial Singularity problem. Based on a talk given at the Workshop on Cosmology & Strings, Corfu Institute, Greece, Sept 10, 2010.

[ { "created": "Mon, 25 Oct 2010 13:51:53 GMT", "version": "v1" }, { "created": "Fri, 29 Oct 2010 00:49:31 GMT", "version": "v2" } ]

2015-05-20

[ [ "Florakis", "Ioannis", "" ] ]

We discuss marginal deformations of string vacua with Massive boson-fermion Degeneracy Symmetry (MSDS), in connection to the cosmological evolution of the Universe from an early non-geometrical era. In particular, we discuss recent results on the stringy mechanism that resolves both Hagedorn divergences and the Initial Singularity problem. Based on a talk given at the Workshop on Cosmology & Strings, Corfu Institute, Greece, Sept 10, 2010.

13.907125

11.749601

14.387162

12.192568

11.287259

11.040769

10.663133

10.363965

11.460056

15.702402

11.314791

11.784993

13.462029

12.430327

12.00281

12.549047

12.164947

12.29639

12.507191

13.593552

12.601383

1207.4194

Toby Wiseman

M. J. Bhaseen, Jerome P. Gauntlett, B. D. Simons, Julian Sonner, Toby Wiseman

Holographic Superfluids and the Dynamics of Symmetry Breaking

6 pages, 4 figures; v2 minor changes, version published in PRL

Phys. Rev. Lett. 110 (2013) 015301

10.1103/PhysRevLett.110.015301

null

hep-th cond-mat.str-el

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

We explore the far from equilibrium response of a holographic superfluid using the AdS/CFT correspondence. We establish the dynamical phase diagram corresponding to quantum quenches of the order parameter source field. We find three distinct regimes of behaviour that are related to the spectrum of black hole quasi-normal modes. These correspond to damped oscillations of the order parameter, and over-damped approaches to the superfluid and normal states. The presence of three regimes, which includes an emergent dynamical temperature scale, is argued to occur more generally in time-reversal invariant systems that display continuous symmetry breaking.

[ { "created": "Tue, 17 Jul 2012 20:00:07 GMT", "version": "v1" }, { "created": "Sat, 23 Feb 2013 16:21:35 GMT", "version": "v2" } ]

2015-06-05

[ [ "Bhaseen", "M. J.", "" ], [ "Gauntlett", "Jerome P.", "" ], [ "Simons", "B. D.", "" ], [ "Sonner", "Julian", "" ], [ "Wiseman", "Toby", "" ] ]

We explore the far from equilibrium response of a holographic superfluid using the AdS/CFT correspondence. We establish the dynamical phase diagram corresponding to quantum quenches of the order parameter source field. We find three distinct regimes of behaviour that are related to the spectrum of black hole quasi-normal modes. These correspond to damped oscillations of the order parameter, and over-damped approaches to the superfluid and normal states. The presence of three regimes, which includes an emergent dynamical temperature scale, is argued to occur more generally in time-reversal invariant systems that display continuous symmetry breaking.

10.613305

10.244256

10.907663

9.956472

10.570975

9.59961

9.721606

9.593429

9.844504

11.222874

9.633365

9.43096

10.308688

9.911216

9.809613

9.585691

9.791112

9.573041

10.059758

10.401588

9.83915

hep-th/0309077

Ryu Sasaki

Avinash Khare, I. Loris and R. Sasaki

Affine Toda-Sutherland Systems

LaTeX2e 22 pages with amsfonts and graphicx, 5 eps figures

J.Phys.A37:1665-1680,2004

10.1088/0305-4470/37/5/013

YITP-03-64, IP/BBSR/03-13

hep-th cond-mat math-ph math.MP nlin.SI quant-ph

null

A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sutherland system, is introduced for any affine root system. Though it is not completely integrable but partially integrable, or quasi exactly solvable, it inherits many remarkable properties from the parents. The equilibrium position is algebraic, i.e. proportional to the Weyl vector. The frequencies of small oscillations near equilibrium are proportional to the affine Toda masses, which are essential ingredients of the exact factorisable S-matrices of affine Toda field theories. Some lower lying frequencies are integer times a coupling constant for which the corresponding exact quantum eigenvalues and eigenfunctions are obtained. An affine Toda-Calogero system, with a corresponding rational potential, is also discussed.

[ { "created": "Mon, 8 Sep 2003 02:39:04 GMT", "version": "v1" } ]

2008-11-26

[ [ "Khare", "Avinash", "" ], [ "Loris", "I.", "" ], [ "Sasaki", "R.", "" ] ]

A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sutherland system, is introduced for any affine root system. Though it is not completely integrable but partially integrable, or quasi exactly solvable, it inherits many remarkable properties from the parents. The equilibrium position is algebraic, i.e. proportional to the Weyl vector. The frequencies of small oscillations near equilibrium are proportional to the affine Toda masses, which are essential ingredients of the exact factorisable S-matrices of affine Toda field theories. Some lower lying frequencies are integer times a coupling constant for which the corresponding exact quantum eigenvalues and eigenfunctions are obtained. An affine Toda-Calogero system, with a corresponding rational potential, is also discussed.

12.659943

11.730775

15.622111

11.054882

11.34967

12.506618

12.860841

11.801353

12.26314

16.824255

12.425383

11.820601

12.492805

12.320944

12.054231

11.62143

12.411495

12.100206

11.878647

12.62666

12.13659

1309.7231

Michael Haack

Oleg Andreev, Michael Haack and Stefan Hofmann

On Nonrelativistic Diffeomorphism Invariance

12 pages, v2: Extended discussion in sec. 6 by including an additional invariant scalar, typo in eq. (4.9) corrected, small improvements of the presentation; version to appear in PRD

Phys. Rev. D 89, 064012 (2014)

10.1103/PhysRevD.89.064012

LMU-ASC 68/13

hep-th cond-mat.mes-hall gr-qc

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

We study certain aspects of the recently proposed notion of nonrelativistic diffeomorphism invariance. In particular, we consider specific examples of invariant actions, extended gauge symmetry as well as an application to the theory of quantum Hall effect. We also discuss an alternative approach based on Horava-Lifshitz gravity.

[ { "created": "Fri, 27 Sep 2013 13:18:35 GMT", "version": "v1" }, { "created": "Mon, 10 Feb 2014 08:58:41 GMT", "version": "v2" } ]

2014-07-07

[ [ "Andreev", "Oleg", "" ], [ "Haack", "Michael", "" ], [ "Hofmann", "Stefan", "" ] ]

We study certain aspects of the recently proposed notion of nonrelativistic diffeomorphism invariance. In particular, we consider specific examples of invariant actions, extended gauge symmetry as well as an application to the theory of quantum Hall effect. We also discuss an alternative approach based on Horava-Lifshitz gravity.

9.250134

8.053222

8.855524

7.507232

7.825587

6.978769

7.587015

7.530405

7.402593

8.58227

7.693962

8.139236

9.196478

8.28806

8.317069

8.072751

8.351167

8.214898

8.312241

9.307235

8.138653