LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9905218

Bogdan Morariu

Daniel Brace, Bogdan Morariu, Bruno Zumino

Duality Invariant Born-Infeld Theory

10 pages, LaTeX file; to appear in the Yuri Golfand memorial volume; typos corrected, references added

null

10.1142/9789812793850_0009

LBNL-43404

hep-th

null

We present an Sp(2n,R) duality invariant Born-Infeld U(1)^2n gauge theory with scalar fields. To implement this duality we had to introduce complex gauge fields and as a result the rank of the duality group is only half as large as that of the corresponding Maxwell gauge theory with the same number of gauge fields. The latter is self-dual under Sp(4n,R), the largest allowed duality group. A special case appears for n=1 when one can also write an SL(2,R) duality invariant Born-Infeld theory with a real gauge field. We also describe the supersymmetric version of the above construction.

[ { "created": "Sat, 29 May 1999 19:18:48 GMT", "version": "v1" }, { "created": "Sat, 24 Jul 1999 00:46:48 GMT", "version": "v2" } ]

2016-11-23

[ [ "Brace", "Daniel", "" ], [ "Morariu", "Bogdan", "" ], [ "Zumino", "Bruno", "" ] ]

We present an Sp(2n,R) duality invariant Born-Infeld U(1)^2n gauge theory with scalar fields. To implement this duality we had to introduce complex gauge fields and as a result the rank of the duality group is only half as large as that of the corresponding Maxwell gauge theory with the same number of gauge fields. The latter is self-dual under Sp(4n,R), the largest allowed duality group. A special case appears for n=1 when one can also write an SL(2,R) duality invariant Born-Infeld theory with a real gauge field. We also describe the supersymmetric version of the above construction.

8.635507

7.815394

8.971334

8.013172

8.793748

8.644247

8.033636

7.803208

8.225064

8.864039

8.133809

8.289463

8.208576

8.11152

8.005541

8.060133

8.080105

8.000229

8.117471

8.445799

8.160872

hep-th/0101076

Tassos Petkou

D. Klemm, A. C. Petkou and G. Siopsis

Entropy bounds, monotonicity properties and scaling in CFTs

19p, LaTeX, v2 minor clarifications and added references, v3 version to appear in NPB

Nucl.Phys. B601 (2001) 380-394

10.1016/S0550-3213(01)00085-2

IFUM-679-FT, UTHET-01-0101

hep-th gr-qc

null

We study the ratio of the entropy to the total energy in conformal field theories at finite temperature. For the free field realizations of {\cal N}=4 super Yang-Mills theory in D=4 and the (2,0) tensor multiplet in D=6, the ratio is bounded from above. The corresponding bounds are less stringent than the recently proposed Verlinde bound. We show that entropy bounds arise generically in CFTs in connection to monotonicity properties with respect to temperature changes of a generalized C-function. For strongly coupled CFTs with AdS duals, we show that the ratio obeys the Verlinde bound even in the presence of rotation. For such CFTs, we point out an intriguing resemblance in their thermodynamic formulas with the corresponding ones of two-dimensional CFTs. We show that simple scaling forms for the free energy and entropy of CFTs with AdS duals reproduce the thermodynamical properties of (D+1)-dimensional AdS black holes.

[ { "created": "Fri, 12 Jan 2001 10:32:47 GMT", "version": "v1" }, { "created": "Fri, 26 Jan 2001 14:36:39 GMT", "version": "v2" }, { "created": "Tue, 20 Mar 2001 08:51:27 GMT", "version": "v3" } ]

2009-11-07

[ [ "Klemm", "D.", "" ], [ "Petkou", "A. C.", "" ], [ "Siopsis", "G.", "" ] ]

We study the ratio of the entropy to the total energy in conformal field theories at finite temperature. For the free field realizations of {\cal N}=4 super Yang-Mills theory in D=4 and the (2,0) tensor multiplet in D=6, the ratio is bounded from above. The corresponding bounds are less stringent than the recently proposed Verlinde bound. We show that entropy bounds arise generically in CFTs in connection to monotonicity properties with respect to temperature changes of a generalized C-function. For strongly coupled CFTs with AdS duals, we show that the ratio obeys the Verlinde bound even in the presence of rotation. For such CFTs, we point out an intriguing resemblance in their thermodynamic formulas with the corresponding ones of two-dimensional CFTs. We show that simple scaling forms for the free energy and entropy of CFTs with AdS duals reproduce the thermodynamical properties of (D+1)-dimensional AdS black holes.

6.887165

5.120147

7.414488

6.006186

6.193452

6.389513

6.096695

5.709911

6.216671

7.427618

5.824326

6.201474

7.018559

6.625764

6.616778

6.599998

6.691453

6.2278

6.492504

7.090662

6.380846

0801.1508

James Gray

James Gray, Yang-Hui He, Anton Ilderton and Andr\'e Lukas

STRINGVACUA: A Mathematica Package for Studying Vacuum Configurations in String Phenomenology

21 pages, 9 figures

Comput.Phys.Commun.180:107-119,2009

10.1016/j.cpc.2008.08.009

null

hep-th

null

We give a simple tutorial introduction to the Mathematica package STRINGVACUA, which is designed to find vacua of string-derived or inspired four-dimensional N=1 supergravities. The package uses powerful algebro-geometric methods, as implemented in the free computer algebra system Singular, but requires no knowledge of the mathematics upon which it is based. A series of easy-to-use Mathematica modules are provided which can be used both in string theory and in more general applications requiring fast polynomial computations. The use of these modules is illustrated throughout with simple examples.

[ { "created": "Wed, 9 Jan 2008 21:26:56 GMT", "version": "v1" } ]

2008-12-18

[ [ "Gray", "James", "" ], [ "He", "Yang-Hui", "" ], [ "Ilderton", "Anton", "" ], [ "Lukas", "André", "" ] ]

We give a simple tutorial introduction to the Mathematica package STRINGVACUA, which is designed to find vacua of string-derived or inspired four-dimensional N=1 supergravities. The package uses powerful algebro-geometric methods, as implemented in the free computer algebra system Singular, but requires no knowledge of the mathematics upon which it is based. A series of easy-to-use Mathematica modules are provided which can be used both in string theory and in more general applications requiring fast polynomial computations. The use of these modules is illustrated throughout with simple examples.

10.025716

11.34525

11.902384

9.936321

9.394189

10.446495

11.974527

10.436313

9.265728

12.684751

9.736726

9.603097

9.557169

9.735549

9.58928

9.854133

9.956481

9.66715

9.539531

9.597329

9.540625

1711.00914

Igor Bandos

Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity

73 pages, no figures. V2: revised. Discussion improved and extended, 78 pages. V3. Published version, 82 pages

null

10.1007/JHEP11(2018)017

null

hep-th

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

We show that 10D spinor helicity formalism can be understood as spinor moving frame approach to supersymmetric particles extended to the description of amplitudes. This allows us to develop the spinor helicity formalism for 11D supergravity and a new constrained superfield formalism for 10D SYM and 11D SUGRA amplitudes. We show how the constrained on-shell superfields, one-particle counterparts of the superamplitudes, can be obtained by quantization of massless superparticle mechanics. We make some stages towards the calculation of amplitudes of 10D SYM and 11D SUGRA in this framework. In particular we have found supersymmetric Ward identities for constrained amplitudes and an especially convenient gauge, fixed on the spinor frame variables corresponding to scattered particles, which promises to be an extremely useful tool for further development of our approach. We also discuss a candidate for generalization of the BCFW recurrent relations for the constrained tree superamplitudes, indicate and discuss a problem of dependence of the expressions obtained with it on a deformation vector, which is not fixed uniquely in higher dimensional $D>4$ cases.

[ { "created": "Thu, 2 Nov 2017 20:15:24 GMT", "version": "v1" }, { "created": "Mon, 21 May 2018 13:38:50 GMT", "version": "v2" }, { "created": "Tue, 30 Oct 2018 17:43:47 GMT", "version": "v3" } ]

2018-12-05

[ [ "Bandos", "Igor", "" ] ]

We show that 10D spinor helicity formalism can be understood as spinor moving frame approach to supersymmetric particles extended to the description of amplitudes. This allows us to develop the spinor helicity formalism for 11D supergravity and a new constrained superfield formalism for 10D SYM and 11D SUGRA amplitudes. We show how the constrained on-shell superfields, one-particle counterparts of the superamplitudes, can be obtained by quantization of massless superparticle mechanics. We make some stages towards the calculation of amplitudes of 10D SYM and 11D SUGRA in this framework. In particular we have found supersymmetric Ward identities for constrained amplitudes and an especially convenient gauge, fixed on the spinor frame variables corresponding to scattered particles, which promises to be an extremely useful tool for further development of our approach. We also discuss a candidate for generalization of the BCFW recurrent relations for the constrained tree superamplitudes, indicate and discuss a problem of dependence of the expressions obtained with it on a deformation vector, which is not fixed uniquely in higher dimensional $D>4$ cases.

11.532562

11.011449

12.575947

11.294034

11.194064

11.084549

11.98343

10.928268

11.281301

12.897476

11.065339

11.334811

11.827822

11.394901

11.690033

11.706924

11.660475

11.220203

11.234738

11.38461

11.148458

1905.01884

Muneto Nitta

Chandrasekhar Chatterjee, Muneto Nitta

Aharonov-Bohm defects

25 pages, 5 figures

Phys. Rev. D 101, 085002 (2020)

10.1103/PhysRevD.101.085002

null

hep-th hep-ph

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

We discuss what happens when a field receiving an Aharonov-Bohm (AB) phase develops a vacuum expectation value (VEV), with an example of an Alice string in a $U(1) \times SU(2)$ gauge theory coupled with complex triplet scalar fields. We introduce scalar fields belonging to the doublet representation of $SU(2)$, charged or chargeless under the $U(1)$ gauge symmetry, that receives an AB phase around the Alice string. When the doublet develops a VEV, the Alice string turns to a global string in the absence of the interaction depending on the relative phase between the doublet and triplet, while, in the presence of such an interaction, the Alice string is confined by a soliton or domain wall and therefore the spontaneous breaking of a spatial rotation around the string is accompanied. We call such an object induced by an AB phase as an ``AB defect'', and argue that such a phenomenon is ubiquitously appearing in various systems.

[ { "created": "Mon, 6 May 2019 08:56:24 GMT", "version": "v1" } ]

2020-04-08

[ [ "Chatterjee", "Chandrasekhar", "" ], [ "Nitta", "Muneto", "" ] ]

We discuss what happens when a field receiving an Aharonov-Bohm (AB) phase develops a vacuum expectation value (VEV), with an example of an Alice string in a $U(1) \times SU(2)$ gauge theory coupled with complex triplet scalar fields. We introduce scalar fields belonging to the doublet representation of $SU(2)$, charged or chargeless under the $U(1)$ gauge symmetry, that receives an AB phase around the Alice string. When the doublet develops a VEV, the Alice string turns to a global string in the absence of the interaction depending on the relative phase between the doublet and triplet, while, in the presence of such an interaction, the Alice string is confined by a soliton or domain wall and therefore the spontaneous breaking of a spatial rotation around the string is accompanied. We call such an object induced by an AB phase as an ``AB defect'', and argue that such a phenomenon is ubiquitously appearing in various systems.

8.715911

8.204513

8.432013

8.209195

8.861649

8.641877

8.256967

8.295165

8.081708

9.184814

8.167486

8.23409

8.263267

7.81545

8.155149

8.205757

8.06217

8.223833

7.885283

8.112291

8.210612

hep-th/0406094

Rosy Chooi Gim Teh

Rosy Teh and Khai-Ming Wong

Static Monopoles and Their Anti-Configurations

20 pages with 4 figures

Int.J.Mod.Phys. A20 (2005) 4291

10.1142/S0217751X05023918

null

hep-th

null

Recently, we have reported on the existence of some monopoles, multimonopole, and antimonopoles configurations. In this paper we would like to present more monopoles, multimonopole, and antimonopoles configurations of the magnetic ansatz of Ref.\cite{kn:9} when the parameters $p$ and $b$ of the solutions takes different serial values. These exact solutions are a different kind of BPS solution. They satisfy the first order Bogomol'nyi equation but possess infinite energy. They can have radial, axial, or rotational symmetry about the z-axis. We classified these serial solutions as (i) the multimonopole at the origin; (ii) the finitely separated 1-monopoles; (iii) the screening solutions of multimonopole and (iv) the axially symmetric monopole solutions. We also give a construction of their anti-configurations with all the magnetic charges of poles in the configurations reversed. Half-integer topological magnetic charge multimonopole also exist in some of these series of solutions.

[ { "created": "Fri, 11 Jun 2004 08:08:05 GMT", "version": "v1" }, { "created": "Mon, 9 May 2005 08:41:14 GMT", "version": "v2" } ]

2009-11-10

[ [ "Teh", "Rosy", "" ], [ "Wong", "Khai-Ming", "" ] ]

Recently, we have reported on the existence of some monopoles, multimonopole, and antimonopoles configurations. In this paper we would like to present more monopoles, multimonopole, and antimonopoles configurations of the magnetic ansatz of Ref.\cite{kn:9} when the parameters $p$ and $b$ of the solutions takes different serial values. These exact solutions are a different kind of BPS solution. They satisfy the first order Bogomol'nyi equation but possess infinite energy. They can have radial, axial, or rotational symmetry about the z-axis. We classified these serial solutions as (i) the multimonopole at the origin; (ii) the finitely separated 1-monopoles; (iii) the screening solutions of multimonopole and (iv) the axially symmetric monopole solutions. We also give a construction of their anti-configurations with all the magnetic charges of poles in the configurations reversed. Half-integer topological magnetic charge multimonopole also exist in some of these series of solutions.

11.680528

12.188776

12.325662

10.925924

11.445146

11.455843

11.738871

10.383872

10.835852

12.097166

11.333538

11.173423

11.230671

11.053482

11.041108

10.999751

11.17472

11.080993

11.09343

11.163743

10.725084

hep-th/9806192

Zbigniew Walczak

Dieter Mayer, Alexander Ushveridze, Zbigniew Walczak

On time-dependent quasi-exactly solvable models

LaTeX, 12 pages

Mod.Phys.Lett. A15 (2000) 1243-1252

10.1142/S0217732300001572

null

hep-th

null

In this paper we demonstrate that there exists a close relationship between quasi-exactly solvable quantum models and two special classes of classical dynamical systems. One of these systems can be considered a natural generalization of the multi-particle Calogero-Moser model and the second one is a classical matrix model.

[ { "created": "Tue, 23 Jun 1998 15:17:52 GMT", "version": "v1" } ]

2009-10-31

[ [ "Mayer", "Dieter", "" ], [ "Ushveridze", "Alexander", "" ], [ "Walczak", "Zbigniew", "" ] ]

In this paper we demonstrate that there exists a close relationship between quasi-exactly solvable quantum models and two special classes of classical dynamical systems. One of these systems can be considered a natural generalization of the multi-particle Calogero-Moser model and the second one is a classical matrix model.

7.416666

6.460689

7.890368

5.978472

6.93854

6.144742

6.149873

6.439776

6.27632

7.695057

6.384909

6.322314

6.999657

6.475904

6.323395

6.47468

6.183016

6.601201

6.385478

7.103593

6.408369

1302.2130

Dirk Rathlev

Constraints from de Sitter metastability in heterotic string compactifications

32 pages, 1 figure; v2: a few references added, minor clarifications added

null

hep-th

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

We study the possibility of obtaining metastable de Sitter vacua of heterotic string theory compactified on a Calabi-Yau threefold which are classical and simple in the K\"ahler moduli sector of the theory. For this, we exploit a known necessary condition on the K\"ahler potential in N=1-supergravity, which we, under the assumption that only moduli fields contribute to supersymmetry breaking, express in terms of a tensorial eigenvalue problem for the Calabi-Yau triple intersection tensor. For three-dimensional moduli spaces we are able to identify the discriminant of the Calabi-Yau intersection tensor in the analysis, generalizing a known result for two-dimensional moduli spaces. We also discuss explicit examples and possible generalizations.

[ { "created": "Fri, 8 Feb 2013 19:55:23 GMT", "version": "v1" }, { "created": "Tue, 7 May 2013 16:38:48 GMT", "version": "v2" } ]

2013-05-08

[ [ "Rathlev", "Dirk", "" ] ]

We study the possibility of obtaining metastable de Sitter vacua of heterotic string theory compactified on a Calabi-Yau threefold which are classical and simple in the K\"ahler moduli sector of the theory. For this, we exploit a known necessary condition on the K\"ahler potential in N=1-supergravity, which we, under the assumption that only moduli fields contribute to supersymmetry breaking, express in terms of a tensorial eigenvalue problem for the Calabi-Yau triple intersection tensor. For three-dimensional moduli spaces we are able to identify the discriminant of the Calabi-Yau intersection tensor in the analysis, generalizing a known result for two-dimensional moduli spaces. We also discuss explicit examples and possible generalizations.

8.647924

8.730301

8.960351

8.112007

8.149722

8.80514

8.959321

8.446589

7.957082

9.308719

7.938726

8.03291

8.346663

7.878822

8.030089

8.413378

8.043869

8.004035

8.11282

8.137477

7.899379

2406.04622

Kang Zhou

Fang-Stars Wei, Kang Zhou

On soft factors and transmutation operators

28 pages, 1 figure

null

hep-th

http://creativecommons.org/publicdomain/zero/1.0/

The well known soft theorems state the specific factorizations of tree level gravitational (GR) amplitudes at leading, sub-leading and sub-sub-leading orders, with universal soft factors. For Yang-Mills (YM) amplitudes, similar factorizations and universal soft factors are found at leading and sub-leading orders. Then it is natural to ask if the similar factorizations and soft factors exist at higher orders. In this note, by using transformation operators proposed by Cheung, Shen and Wen, we reconstruct the known soft factors of YM and GR amplitudes, and prove the nonexistence of higher order soft factor of YM or GR amplitude which satisfies the universality.

[ { "created": "Fri, 7 Jun 2024 04:06:20 GMT", "version": "v1" } ]

2024-06-10

[ [ "Wei", "Fang-Stars", "" ], [ "Zhou", "Kang", "" ] ]

The well known soft theorems state the specific factorizations of tree level gravitational (GR) amplitudes at leading, sub-leading and sub-sub-leading orders, with universal soft factors. For Yang-Mills (YM) amplitudes, similar factorizations and universal soft factors are found at leading and sub-leading orders. Then it is natural to ask if the similar factorizations and soft factors exist at higher orders. In this note, by using transformation operators proposed by Cheung, Shen and Wen, we reconstruct the known soft factors of YM and GR amplitudes, and prove the nonexistence of higher order soft factor of YM or GR amplitude which satisfies the universality.

8.365241

7.746872

8.735587

7.408105

7.914742

7.110451

7.651786

7.297336

7.476343

9.097908

7.42441

7.138038

8.16855

7.762784

7.797928

7.548461

7.752509

7.416745

7.419519

7.903147

7.628792

hep-th/0409099

Horatiu Stefan Nastase

Kyungsik Kang and Horatiu Nastase

Planckian scattering effects and black hole production in low $M_{Pl}$ scenarios

40 pages, latex, typos corrected, references added

Phys.Rev. D71 (2005) 124035

10.1103/PhysRevD.71.124035

null

hep-th hep-ph

null

We reanalyze the question of black hole creation in high energy scattering via shockwave collisions. We find that string corrections tend to increase the scattering cross-section. We analyze corrections in a more physical setting, of Randall-Sundrum type and of higher dimensionality. We also analyze the scattering inside AdS backgrounds.

[ { "created": "Wed, 8 Sep 2004 15:37:39 GMT", "version": "v1" }, { "created": "Fri, 17 Sep 2004 17:42:10 GMT", "version": "v2" } ]

2009-11-10

[ [ "Kang", "Kyungsik", "" ], [ "Nastase", "Horatiu", "" ] ]

We reanalyze the question of black hole creation in high energy scattering via shockwave collisions. We find that string corrections tend to increase the scattering cross-section. We analyze corrections in a more physical setting, of Randall-Sundrum type and of higher dimensionality. We also analyze the scattering inside AdS backgrounds.

22.82892

21.257378

22.310308

19.973066

21.762951

21.60343

22.870018

21.508142

24.214355

19.605528

20.537594

21.429026

20.573959

21.212526

20.769773

21.328104

20.877966

19.736113

21.322121

20.983671

19.5821

1504.01700

Imtak Jeon

Rajesh Kumar Gupta, Yuto Ito, Imtak Jeon

Supersymmetric Localization for BPS Black Hole Entropy: 1-loop Partition Function from Vector Multiplets

28+16 pages, improved discussion on the boundary mode in the 4.2 and conclusion section

null

10.1007/JHEP11(2015)197

KIAS-P14053

hep-th

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

We use the techniques of supersymmetric localization to compute the BPS black hole entropy in N=2 supergravity. We focus on the n_v+1 vector multiplets on the black hole near horizon background which is AdS_2 x S^2 space. We find the localizing saddle point of the vector multiplets by solving the localization equations, and compute the exact one loop partition function on the saddle point. Furthermore, we propose the appropriate functional integration measure. Through this measure, the one loop determinant is written in terms of the radius of the physical metric, which depends on the localizing saddle point value of the vector multiplets. The result for the one loop determinant is consistent with the logarithmic corrections to the BPS black hole entropy from vector multiplets.

[ { "created": "Tue, 7 Apr 2015 18:25:41 GMT", "version": "v1" }, { "created": "Wed, 19 Aug 2015 09:16:01 GMT", "version": "v2" } ]

2016-01-27

[ [ "Gupta", "Rajesh Kumar", "" ], [ "Ito", "Yuto", "" ], [ "Jeon", "Imtak", "" ] ]

We use the techniques of supersymmetric localization to compute the BPS black hole entropy in N=2 supergravity. We focus on the n_v+1 vector multiplets on the black hole near horizon background which is AdS_2 x S^2 space. We find the localizing saddle point of the vector multiplets by solving the localization equations, and compute the exact one loop partition function on the saddle point. Furthermore, we propose the appropriate functional integration measure. Through this measure, the one loop determinant is written in terms of the radius of the physical metric, which depends on the localizing saddle point value of the vector multiplets. The result for the one loop determinant is consistent with the logarithmic corrections to the BPS black hole entropy from vector multiplets.

7.071283

6.805892

7.880412

7.127759

6.91408

7.159308

7.019753

7.368477

7.179312

8.632305

6.745316

6.642382

7.544569

6.821819

6.623802

6.590663

6.852257

6.783192

6.900003

7.717172

6.723055

hep-th/0004160

Akihiro Ishibashi

Hideo Kodama, Akihiro Ishibashi and Osamu Seto

Brane World Cosmology - Gauge-Invariant Formalism for Perturbation

25 pages, no figures, typos corrected, to appear in Phys.Rev.D

Phys.Rev. D62 (2000) 064022

10.1103/PhysRevD.62.064022

YITP-00-21

hep-th astro-ph gr-qc

null

In the present paper the gauge-invariant formalism is developed for perturbations of the brane-world model in which our universe is realized as a boundary of a higher-dimensional spacetime. For the background model in which the bulk spacetime is $(n+m)$-dimensional and has the spatial symmetry corresponding to the isometry group of a $n$-dimensional maximally symmetric space, gauge-invariant equations are derived for perturbations of the bulk spacetime. Further for the case corresponding to the brane-world model in which $m=2$ and the brane is a boundary invariant under the spatial symmetry in the unperturbed background, relations between the gauge-invariant variables describing the bulk perturbations and those for brane perturbations are derived from Israel's junction condition under the assumption of $\ZR_2$ symmetry. In particular, for the case in which the bulk spacetime is a constant-curvature spacetime, it is shown that the bulk perturbation equations reduce to a single hyperbolic master equation for a master variable, and that the physical condition on the gauge-invariant variable describing the intrinsic stress perturbation of the brane yield a boundary condition for the master equation through the junction condition. On the basis of this formalism it is pointed out that it seems to be difficult to suppress brane perturbations corresponding to massive excitations for a brane motion giving a realistic expanding universe model.

[ { "created": "Mon, 24 Apr 2000 09:45:19 GMT", "version": "v1" }, { "created": "Mon, 8 May 2000 09:17:20 GMT", "version": "v2" }, { "created": "Mon, 7 Aug 2000 06:18:36 GMT", "version": "v3" } ]

2009-10-31

[ [ "Kodama", "Hideo", "" ], [ "Ishibashi", "Akihiro", "" ], [ "Seto", "Osamu", "" ] ]

In the present paper the gauge-invariant formalism is developed for perturbations of the brane-world model in which our universe is realized as a boundary of a higher-dimensional spacetime. For the background model in which the bulk spacetime is $(n+m)$-dimensional and has the spatial symmetry corresponding to the isometry group of a $n$-dimensional maximally symmetric space, gauge-invariant equations are derived for perturbations of the bulk spacetime. Further for the case corresponding to the brane-world model in which $m=2$ and the brane is a boundary invariant under the spatial symmetry in the unperturbed background, relations between the gauge-invariant variables describing the bulk perturbations and those for brane perturbations are derived from Israel's junction condition under the assumption of $\ZR_2$ symmetry. In particular, for the case in which the bulk spacetime is a constant-curvature spacetime, it is shown that the bulk perturbation equations reduce to a single hyperbolic master equation for a master variable, and that the physical condition on the gauge-invariant variable describing the intrinsic stress perturbation of the brane yield a boundary condition for the master equation through the junction condition. On the basis of this formalism it is pointed out that it seems to be difficult to suppress brane perturbations corresponding to massive excitations for a brane motion giving a realistic expanding universe model.

6.986616

8.34182

7.280464

7.154787

7.450595

7.931695

8.097749

7.475122

7.545782

7.950077

7.406463

7.024595

6.786087

6.880169

7.071097

6.820298

7.032159

6.950209

7.152178

7.130868

6.96668

0912.4211

Diego S\'aez-G\'omez

Reconstructing cosmological solutions in F(R) gravity. Towards a unified model of the Universe evolution

4 pages. Contribution to the Proceedings of the Spanish Relativity Meeting (ERE) 2009, Bilbao, Spain

J.Phys.Conf.Ser.229:012066,2010

10.1088/1742-6596/229/1/012066

null

hep-th

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

It is accepted by the majority of scientific community that the Universe is currently in an accelerated epoch. In order to explain this shock of late 90's, a lot of dark energy candidates have been proposed. We study in the context of f (R) gravity, how some modifications on General Relativity could reproduce such behavior of the cosmic evolution. It is showed that in general, an f (R) theory can be reconstructed from a non-minimal scalar-tensor theory, where a desired cosmological solution can be achieved. Some viable models are studied as well as its cosmological evolution, and the possibility that inflationary epoch is also a result of these fine modifications.

[ { "created": "Mon, 21 Dec 2009 17:10:49 GMT", "version": "v1" } ]

2014-11-20

[ [ "Sáez-Gómez", "Diego", "" ] ]

It is accepted by the majority of scientific community that the Universe is currently in an accelerated epoch. In order to explain this shock of late 90's, a lot of dark energy candidates have been proposed. We study in the context of f (R) gravity, how some modifications on General Relativity could reproduce such behavior of the cosmic evolution. It is showed that in general, an f (R) theory can be reconstructed from a non-minimal scalar-tensor theory, where a desired cosmological solution can be achieved. Some viable models are studied as well as its cosmological evolution, and the possibility that inflationary epoch is also a result of these fine modifications.

12.544847

12.570993

11.955241

12.890826

13.455894

13.126766

13.849817

12.123617

13.182961

13.749678

13.348096

12.450439

12.017087

12.362538

12.440512

12.604208

12.349156

11.777368

12.875251

11.891807

12.524187

1307.5877

Dan Xie

M5 brane and four dimensional N=1 theories I

30 pages, 18 figures

null

10.1007/JHEP04(2014)154

null

hep-th

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

Four dimensional N=1 theories are engineered by compactifying six dimensional (2,0) theory on a Riemann surface with regular punctures. A generalized Hitchin's equation involving two Higgs fields is proposed as the BPS equation for N=1 compactification. The puncture is interpreted as the singular boundary condition of this equation, and regular puncture is shown to be labeled by a nilpotent commuting pair. In this paper, we focus on a subset of regular puncture which is described by rotating branes representing N=2 puncture. As an application, we show that the Seiberg duality of SU(N) SQCD with Nf=2N and certain superpotential term is realized as different degeneration limits of the same punctured Riemann surface, and also find four more dual theories.

[ { "created": "Mon, 22 Jul 2013 20:36:03 GMT", "version": "v1" } ]

2015-06-16

[ [ "Xie", "Dan", "" ] ]

Four dimensional N=1 theories are engineered by compactifying six dimensional (2,0) theory on a Riemann surface with regular punctures. A generalized Hitchin's equation involving two Higgs fields is proposed as the BPS equation for N=1 compactification. The puncture is interpreted as the singular boundary condition of this equation, and regular puncture is shown to be labeled by a nilpotent commuting pair. In this paper, we focus on a subset of regular puncture which is described by rotating branes representing N=2 puncture. As an application, we show that the Seiberg duality of SU(N) SQCD with Nf=2N and certain superpotential term is realized as different degeneration limits of the same punctured Riemann surface, and also find four more dual theories.

8.05513

7.59112

10.646668

7.766121

7.697187

7.894315

7.855369

7.453926

7.564534

10.597532

7.43099

7.666192

8.837731

7.452512

7.543749

7.712042

7.605435

7.649395

7.485054

8.54952

7.474561

2005.09851

Yu. M. Zinoviev

M. V. Khabarov and Yu. M. Zinoviev

Massless higher spin cubic vertices in flat four dimmensional space

21 pages, no figures. Some comments and new references added. Version to appear in JHEP

JHEP 08 (2020) 112

null

hep-th

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

In this paper we construct a number of cubic interaction vertices for massless bosonic and fermionic higher spin fields in flat four dimensional space. First of all, we construct these cubic vertices in AdS_4 space using a so-called Fradkin-Vasiliev approach, which works only for the non-zero cosmological constant. Then we consider a flat limit taking care on all the higher derivative terms which FV-approach generates. We restrict ourselves with the four dimensions because this allows us to use the frame-like multispinor formalism which greatly simplifies all calculations and provides a description for bosons and fermions on equal footing.

[ { "created": "Wed, 20 May 2020 05:48:50 GMT", "version": "v1" }, { "created": "Mon, 24 Aug 2020 07:11:28 GMT", "version": "v2" } ]

2020-08-31

[ [ "Khabarov", "M. V.", "" ], [ "Zinoviev", "Yu. M.", "" ] ]

In this paper we construct a number of cubic interaction vertices for massless bosonic and fermionic higher spin fields in flat four dimensional space. First of all, we construct these cubic vertices in AdS_4 space using a so-called Fradkin-Vasiliev approach, which works only for the non-zero cosmological constant. Then we consider a flat limit taking care on all the higher derivative terms which FV-approach generates. We restrict ourselves with the four dimensions because this allows us to use the frame-like multispinor formalism which greatly simplifies all calculations and provides a description for bosons and fermions on equal footing.

10.875951

8.600023

11.020626

8.329669

9.591917

8.251527

8.399466

8.558406

8.462996

12.866686

8.768499

9.313227

9.898866

9.063828

9.209674

9.261488

9.029637

8.843431

9.095098

10.191895

9.075976

2202.03048

Mahya Mohammadi

Mahya Mohammadi and Ahmad Sheykhi

Gauss-Bonnet holographic superconductors in lower-dimensions

15 pages. arXiv admin note: substantial text overlap with arXiv:1908.07992

Eur. Phys. J. Plus 137, 852 (2022)

10.1140/epjp/s13360-022-03056-0

null

hep-th

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

We disclose the effect of Gauss-Bonnet gravity on the properties of holographic $s$-wave and $p$-wave superconductors with higher order corrections in lower-dimensional spacetime. We employ shooting method to solve equations of motion numerically and obtain the effect of different values of mass, nonlinear gauge field and Gauss-Bonnet parameters on critical temperature and condensation. Based on our results, increasing each of these three parameters leads to lower temperatures and larger values of condensation. This phenomenon is rooted in the fact that conductor/superconductor phase transition faces with difficulty for higher effect of nonlinear and Gauss-Bonnet terms in the presence of a massive field. In addition, we study the electrical conductivity in holographic setup. In $D=4$, real and imaginary parts of conductivity in holographic $s$- and $p$-wave models behave similarly and follow the same trend as higher dimensions by showing the delta function and pole at low frequency regime that Kramers-Kronig relation can connect these two parts of conductivity to each other. We observe the appearance of a gap energy at $\omega_{g}\approx 8T_{c}$ at which shifts toward higher frequencies by diminishing temperature and increasing the effect of nonlinear and Gauss-Bonnet terms. Conductivity in $D = 3$ is far different from other dimensions. Even the real and imaginary parts in $s$- and $p$-wave modes pursue various trends. For example in $\omega \rightarrow 0$ limit, imaginary part in holographic $s$-wave model tends to infinity but in $p$-wave model approaches to zero. However, the real parts in both models show a delta function behavior. In general, real and imaginary parts of conductivity in all cases that we study tend to a constant value in $\omega \rightarrow \infty$ regime.

[ { "created": "Mon, 7 Feb 2022 10:27:30 GMT", "version": "v1" }, { "created": "Sun, 21 Aug 2022 16:15:04 GMT", "version": "v2" } ]

2022-09-29

[ [ "Mohammadi", "Mahya", "" ], [ "Sheykhi", "Ahmad", "" ] ]

We disclose the effect of Gauss-Bonnet gravity on the properties of holographic $s$-wave and $p$-wave superconductors with higher order corrections in lower-dimensional spacetime. We employ shooting method to solve equations of motion numerically and obtain the effect of different values of mass, nonlinear gauge field and Gauss-Bonnet parameters on critical temperature and condensation. Based on our results, increasing each of these three parameters leads to lower temperatures and larger values of condensation. This phenomenon is rooted in the fact that conductor/superconductor phase transition faces with difficulty for higher effect of nonlinear and Gauss-Bonnet terms in the presence of a massive field. In addition, we study the electrical conductivity in holographic setup. In $D=4$, real and imaginary parts of conductivity in holographic $s$- and $p$-wave models behave similarly and follow the same trend as higher dimensions by showing the delta function and pole at low frequency regime that Kramers-Kronig relation can connect these two parts of conductivity to each other. We observe the appearance of a gap energy at $\omega_{g}\approx 8T_{c}$ at which shifts toward higher frequencies by diminishing temperature and increasing the effect of nonlinear and Gauss-Bonnet terms. Conductivity in $D = 3$ is far different from other dimensions. Even the real and imaginary parts in $s$- and $p$-wave modes pursue various trends. For example in $\omega \rightarrow 0$ limit, imaginary part in holographic $s$-wave model tends to infinity but in $p$-wave model approaches to zero. However, the real parts in both models show a delta function behavior. In general, real and imaginary parts of conductivity in all cases that we study tend to a constant value in $\omega \rightarrow \infty$ regime.

7.639361

6.967191

8.126284

7.039267

7.184804

7.123196

7.071781

7.054677

7.5075

8.862309

7.124847

7.406806

7.794629

7.448696

7.390882

7.605443

7.53805

7.497083

7.363901

7.806271

7.356296

hep-th/9412129

Jouko Mickelsson

Edwin Langmann and Jouko Mickelsson

Elementary Derivation of the Chiral Anomaly

Minor errors and misprints corrected, a reference added. AmsTex file, 12 output pages. If you do not have preloaded AmsTex you have to \input amstex.tex

Lett. Math. Phys. 36 (1996) 45

10.1007/BF00403250

null

hep-th

null

An elementary derivation of the chiral gauge anomaly in all even dimensions is given in terms of noncommutative traces of pseudo-differential operators.

[ { "created": "Thu, 15 Dec 1994 12:24:42 GMT", "version": "v1" }, { "created": "Tue, 24 Jan 1995 12:18:45 GMT", "version": "v2" } ]

2009-10-28

[ [ "Langmann", "Edwin", "" ], [ "Mickelsson", "Jouko", "" ] ]

An elementary derivation of the chiral gauge anomaly in all even dimensions is given in terms of noncommutative traces of pseudo-differential operators.

14.998248

9.682597

12.66901

9.371747

10.024564

8.50763

8.390093

9.445284

8.559286

13.77595

9.580791

9.469543

12.149277

9.882589

10.12629

9.698766

9.611089

9.874902

10.023794

11.737416

10.209903

0707.3858

Sachindeo Vaidya

The quantum sinh-Gordon model in noncommutative (1+1) dimensions

7 pages, 2 figures, LaTex. References added

Phys.Lett.B655:294-297,2007

10.1016/j.physletb.2007.08.089

IISc/CHEP/10/07

hep-th

null

Using twisted commutation relations we show that the quantum sinh-Gordon model on noncommutative space is integrable, and compute the exact two-particle scattering matrix. The model possesses a strong-weak duality, just like its commutative counterpart.

[ { "created": "Thu, 26 Jul 2007 05:56:10 GMT", "version": "v1" }, { "created": "Mon, 6 Aug 2007 06:12:38 GMT", "version": "v2" } ]

2008-11-26

[ [ "Vaidya", "Sachindeo", "" ] ]

Using twisted commutation relations we show that the quantum sinh-Gordon model on noncommutative space is integrable, and compute the exact two-particle scattering matrix. The model possesses a strong-weak duality, just like its commutative counterpart.

9.135023

6.027495

9.942405

6.476271

6.034019

5.486239

6.523564

6.848883

6.589614

8.613657

6.090785

6.802417

8.287119

6.79068

7.220629

7.141115

6.52883

6.809785

6.739512

8.025537

6.809207

1911.00589

Sahand Seifnashri

J.P. Ang, Konstantinos Roumpedakis, Sahand Seifnashri

Line Operators of Gauge Theories on Non-Spin Manifolds

53

null

10.1007/JHEP04(2020)087

YITP-SB-19-39

hep-th cond-mat.str-el

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

We study four-dimensional gauge theories on oriented and non-spin spacetime manifolds. On such manifolds, each line operator arises only either as a boson or a fermion. Based on physical arguments, a method of systematically assigning spin labels to line operators is proposed, and several consistency checks are performed. This is used to classify all possible sets of allowed line operators -- including their spins -- for gauge theories with simple Lie algebras. The Lagrangian descriptions of the theories with these sets of allowed line operators are given. Finally, the one-form symmetries of these theories are studied by coupling to background gauge fields, and their 't Hooft anomalies are computed.

[ { "created": "Fri, 1 Nov 2019 21:02:40 GMT", "version": "v1" }, { "created": "Wed, 12 Feb 2020 22:16:25 GMT", "version": "v2" } ]

2020-05-20

[ [ "Ang", "J. P.", "" ], [ "Roumpedakis", "Konstantinos", "" ], [ "Seifnashri", "Sahand", "" ] ]

We study four-dimensional gauge theories on oriented and non-spin spacetime manifolds. On such manifolds, each line operator arises only either as a boson or a fermion. Based on physical arguments, a method of systematically assigning spin labels to line operators is proposed, and several consistency checks are performed. This is used to classify all possible sets of allowed line operators -- including their spins -- for gauge theories with simple Lie algebras. The Lagrangian descriptions of the theories with these sets of allowed line operators are given. Finally, the one-form symmetries of these theories are studied by coupling to background gauge fields, and their 't Hooft anomalies are computed.

8.657305

8.869155

9.144528

7.968921

8.633645

8.820213

8.944389

7.82664

8.56455

10.545634

8.392152

8.331891

8.876688

8.080637

8.422783

8.247863

8.386212

8.467415

8.289034

9.086617

7.917576

hep-th/9812089

Igor Klebanov

Igor R. Klebanov and Arkady A. Tseytlin

Asymptotic Freedom and Infrared Behavior in the Type 0 String Approach to Gauge Theory

15 pages, harvmac; v2: a reference added; v3: last section revised; v4: numerical coefficients corrected

Nucl.Phys.B547:143-156,1999

10.1016/S0550-3213(99)00084-X

PUPT-1825, Imperial/TP/98-99/20

hep-th

null

In a recent paper we considered the type 0 string theories, obtained from the ten-dimensional closed NSR string by a GSO projection which excludes space-time fermions, and studied the low-energy dynamics of N coincident D-branes. This led us to conjecture that the four-dimensional SU(N) gauge theory coupled to 6 adjoint massless scalars is dual to a background of type 0 theory carrying N units of R-R 5-form flux and involving a tachyon condensate. The tachyon background leads to a ``soft breaking'' of conformal invariance, and we derived the corresponding renormalization group equation. Minahan has subsequently found its asymptotic solution for weak coupling and showed that the coupling exhibits logarithmic flow, as expected from the asymptotic freedom of the dual gauge theory. We study this solution in more detail and identify the effect of the 2-loop beta function. We also demonstrate the existence of a fixed point at infinite coupling. Just like the fixed point at zero coupling, it is characterized by the AdS_5\times S^5 Einstein frame metric. We argue that there is a RG trajectory extending all the way from the zero coupling fixed point in the UV to the infinite coupling fixed point in the IR.

[ { "created": "Thu, 10 Dec 1998 19:47:21 GMT", "version": "v1" }, { "created": "Fri, 11 Dec 1998 20:47:11 GMT", "version": "v2" }, { "created": "Thu, 21 Jan 1999 20:42:51 GMT", "version": "v3" }, { "created": "Wed, 3 Feb 1999 21:03:04 GMT", "version": "v4" } ]

2009-09-17

[ [ "Klebanov", "Igor R.", "" ], [ "Tseytlin", "Arkady A.", "" ] ]

In a recent paper we considered the type 0 string theories, obtained from the ten-dimensional closed NSR string by a GSO projection which excludes space-time fermions, and studied the low-energy dynamics of N coincident D-branes. This led us to conjecture that the four-dimensional SU(N) gauge theory coupled to 6 adjoint massless scalars is dual to a background of type 0 theory carrying N units of R-R 5-form flux and involving a tachyon condensate. The tachyon background leads to a ``soft breaking'' of conformal invariance, and we derived the corresponding renormalization group equation. Minahan has subsequently found its asymptotic solution for weak coupling and showed that the coupling exhibits logarithmic flow, as expected from the asymptotic freedom of the dual gauge theory. We study this solution in more detail and identify the effect of the 2-loop beta function. We also demonstrate the existence of a fixed point at infinite coupling. Just like the fixed point at zero coupling, it is characterized by the AdS_5\times S^5 Einstein frame metric. We argue that there is a RG trajectory extending all the way from the zero coupling fixed point in the UV to the infinite coupling fixed point in the IR.

8.089024

7.646969

9.554105

6.890331

8.455409

7.520198

7.383542

6.997878

7.235005

8.92814

7.355052

7.217555

7.758801

7.469961

7.356403

7.493837

7.377678

7.50073

7.239461

7.763037

7.502424

1704.01967

Florian Loebbert

Dmitry Chicherin, Vladimir Kazakov, Florian Loebbert, Dennis M\"uller, De-liang Zhong

Yangian Symmetry for Bi-Scalar Loop Amplitudes

40 pages, 20 figures

JHEP05(2018)003

10.1007/JHEP05(2018)003

HU-EP-17/09, LPTENS/17/07, MITP/17-022

hep-th math-ph math.MP

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

We establish an all-loop conformal Yangian symmetry for the full set of planar amplitudes in the recently proposed integrable bi-scalar field theory in four dimensions. This chiral theory is a particular double scaling limit of gamma-twisted weakly coupled N=4 SYM theory. Each amplitude with a certain order of scalar particles is given by a single fishnet Feynman graph of disc topology cut out of a regular square lattice. The Yangian can be realized by the action of a product of Lax operators with a specific sequence of inhomogeneity parameters on the boundary of the disc. Based on this observation, the Yangian generators of level one for generic bi-scalar amplitudes are explicitly constructed. Finally, we comment on the relation to the dual conformal symmetry of these scattering amplitudes.

[ { "created": "Thu, 6 Apr 2017 18:00:00 GMT", "version": "v1" } ]

2018-05-08

[ [ "Chicherin", "Dmitry", "" ], [ "Kazakov", "Vladimir", "" ], [ "Loebbert", "Florian", "" ], [ "Müller", "Dennis", "" ], [ "Zhong", "De-liang", "" ] ]

We establish an all-loop conformal Yangian symmetry for the full set of planar amplitudes in the recently proposed integrable bi-scalar field theory in four dimensions. This chiral theory is a particular double scaling limit of gamma-twisted weakly coupled N=4 SYM theory. Each amplitude with a certain order of scalar particles is given by a single fishnet Feynman graph of disc topology cut out of a regular square lattice. The Yangian can be realized by the action of a product of Lax operators with a specific sequence of inhomogeneity parameters on the boundary of the disc. Based on this observation, the Yangian generators of level one for generic bi-scalar amplitudes are explicitly constructed. Finally, we comment on the relation to the dual conformal symmetry of these scattering amplitudes.

10.612942

10.198979

12.289614

9.918478

11.348865

11.762744

10.867148

9.899099

10.668307

14.029977

10.012728

10.256121

10.999219

10.486006

10.745509

10.781915

10.704082

10.304182

10.129424

10.442665

10.101641

hep-th/0006107

null

R. D'Auria, S. Ferrara and S. Vaul\`a

Matter Coupled F(4) Supergravity and the AdS_6/CFT_5 Correspondence

21 pages, latex, minor corrections and reference added

JHEP 0010:013,2000

10.1088/1126-6708/2000/10/013

CERN-TH/2000-167

hep-th

null

F(4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold $SO(4,n)/SO(4)\times SO(n)$. By gauging the compact subgroup $SU(2)_d \otimes \cG$, where SU(2)_d is the diagonal subgroup of $SO(4)\simeq SU(2)_L\otimes SU(2)_R$ (the R-symmetry group of six-dimensional Poincar\'e supergravity) and $\cG$ is a compact group such that $dim\cG = n$, we compute the scalar potential which, besides the gauge coupling constants, also depends in non trivial way on the parameter m associated to a massive 2-form $B_{\mu\nu}$ of the gravitational multiplet. The potential admits an AdS background for g=3m, as the pure F(4)-supergravity. We compute the scalar squared masses (which are all negative) and retrieve the results dictated by AdS_6/CFT_5 correspondence from the conformal dimensions of boundary operators. The boundary F(4) superconformal fields are realized in terms of a singleton superfield (hypermultiplet) in harmonic superspace with flag manifold SU(2)/U(1)=S^2. We analize the spectrum of short representations in terms of superconformal primaries and predict general features of the K-K specrum of massive type IIA supergravity compactified on warped $AdS_6\otimes S^4$.

[ { "created": "Thu, 15 Jun 2000 12:06:06 GMT", "version": "v1" }, { "created": "Tue, 11 Jul 2000 13:35:55 GMT", "version": "v2" } ]

2010-02-03

[ [ "D'Auria", "R.", "" ], [ "Ferrara", "S.", "" ], [ "Vaulà", "S.", "" ] ]

F(4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold $SO(4,n)/SO(4)\times SO(n)$. By gauging the compact subgroup $SU(2)_d \otimes \cG$, where SU(2)_d is the diagonal subgroup of $SO(4)\simeq SU(2)_L\otimes SU(2)_R$ (the R-symmetry group of six-dimensional Poincar\'e supergravity) and $\cG$ is a compact group such that $dim\cG = n$, we compute the scalar potential which, besides the gauge coupling constants, also depends in non trivial way on the parameter m associated to a massive 2-form $B_{\mu\nu}$ of the gravitational multiplet. The potential admits an AdS background for g=3m, as the pure F(4)-supergravity. We compute the scalar squared masses (which are all negative) and retrieve the results dictated by AdS_6/CFT_5 correspondence from the conformal dimensions of boundary operators. The boundary F(4) superconformal fields are realized in terms of a singleton superfield (hypermultiplet) in harmonic superspace with flag manifold SU(2)/U(1)=S^2. We analize the spectrum of short representations in terms of superconformal primaries and predict general features of the K-K specrum of massive type IIA supergravity compactified on warped $AdS_6\otimes S^4$.

7.699032

6.06736

9.16332

6.515495

7.569861

5.997357

6.191794

5.958798

6.665748

8.976526

6.525167

6.838456

7.831937

7.014225

7.24982

6.892284

6.825441

6.846756

7.015181

7.625472

7.035786

1408.0094

Anirban Basu

Constraining non--BPS interactions from counterterms in three loop maximal supergravity

31 pages, LaTeX, 8 figures

null

10.1088/0264-9381/32/4/045012

null

hep-th

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

The structure of one, two and three loop counterterms imposes strong constraints on several non--BPS interactions in the low momentum expansion of the three loop four graviton amplitude in maximal supergravity. The constraints are imposed by demanding consistency with string amplitudes. We analyze these constraints imposed on the D^8 R^4 interaction in 11 dimensional supergravity compactified on T^2. We also discuss partial contributions from counterterms to interactions at higher orders in the momentum expansion.

[ { "created": "Fri, 1 Aug 2014 07:33:19 GMT", "version": "v1" }, { "created": "Mon, 30 Mar 2015 18:30:40 GMT", "version": "v2" }, { "created": "Sat, 10 Oct 2015 11:31:22 GMT", "version": "v3" } ]

2015-10-13

[ [ "Basu", "Anirban", "" ] ]

The structure of one, two and three loop counterterms imposes strong constraints on several non--BPS interactions in the low momentum expansion of the three loop four graviton amplitude in maximal supergravity. The constraints are imposed by demanding consistency with string amplitudes. We analyze these constraints imposed on the D^8 R^4 interaction in 11 dimensional supergravity compactified on T^2. We also discuss partial contributions from counterterms to interactions at higher orders in the momentum expansion.

12.949997

10.168051

14.480062

10.909897

10.246638

10.926445

9.808618

9.459829

9.777981

15.335107

10.616644

11.589762

13.571503

11.673983

11.016461

11.629981

11.144691

11.713341

11.675687

13.52759

12.111968

hep-th/0607193

Eric Bergshoeff

Eric A. Bergshoeff, Gary W. Gibbons and Paul K. Townsend

Open M5-branes

4 pages, 3 figures, version to appear in PRL

Phys.Rev.Lett.97:231601,2006

10.1103/PhysRevLett.97.231601

DAMTP-2006-42; UG-06-06

hep-th

null

We show how, in heterotic M-theory, an M5-brane in the 11-dimensional bulk may end on an ``M9-brane'' boundary, the M5-brane boundary being a Yang monopole 4-brane. This possibility suggests various novel 5-brane configurations of heterotic M-theory, in particular a static M5-brane suspended between the two M9-brane boundaries, for which we find the asymptotic heterotic supergravity solution.

[ { "created": "Tue, 25 Jul 2006 13:26:12 GMT", "version": "v1" }, { "created": "Fri, 8 Dec 2006 10:25:57 GMT", "version": "v2" } ]

2008-11-26

[ [ "Bergshoeff", "Eric A.", "" ], [ "Gibbons", "Gary W.", "" ], [ "Townsend", "Paul K.", "" ] ]

We show how, in heterotic M-theory, an M5-brane in the 11-dimensional bulk may end on an ``M9-brane'' boundary, the M5-brane boundary being a Yang monopole 4-brane. This possibility suggests various novel 5-brane configurations of heterotic M-theory, in particular a static M5-brane suspended between the two M9-brane boundaries, for which we find the asymptotic heterotic supergravity solution.

9.352319

8.381168

9.963959

7.957537

8.095307

8.176463

8.90543

7.944476

8.109704

10.000689

7.988719

8.242245

8.86526

7.935992

7.967953

8.21759

7.752293

8.352009

8.027379

9.035415

8.333771

1208.0354

Gianluca Calcagni

Gianluca Calcagni, Daniele Oriti, Johannes Th\"urigen

Laplacians on discrete and quantum geometries

43 pages, 2 multiple figures. v2: discussion improved, references added, minor typos corrected

Class. Quantum Grav. 30 (2013) 125006

10.1088/0264-9381/30/12/125006

AEI-2012-078

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

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

We extend discrete calculus for arbitrary ($p$-form) fields on embedded lattices to abstract discrete geometries based on combinatorial complexes. We then provide a general definition of discrete Laplacian using both the primal cellular complex and its combinatorial dual. The precise implementation of geometric volume factors is not unique and, comparing the definition with a circumcentric and a barycentric dual, we argue that the latter is, in general, more appropriate because it induces a Laplacian with more desirable properties. We give the expression of the discrete Laplacian in several different sets of geometric variables, suitable for computations in different quantum gravity formalisms. Furthermore, we investigate the possibility of transforming from position to momentum space for scalar fields, thus setting the stage for the calculation of heat kernel and spectral dimension in discrete quantum geometries.

[ { "created": "Wed, 1 Aug 2012 20:44:38 GMT", "version": "v1" }, { "created": "Fri, 17 May 2013 08:15:05 GMT", "version": "v2" } ]

2013-05-20

[ [ "Calcagni", "Gianluca", "" ], [ "Oriti", "Daniele", "" ], [ "Thürigen", "Johannes", "" ] ]

We extend discrete calculus for arbitrary ($p$-form) fields on embedded lattices to abstract discrete geometries based on combinatorial complexes. We then provide a general definition of discrete Laplacian using both the primal cellular complex and its combinatorial dual. The precise implementation of geometric volume factors is not unique and, comparing the definition with a circumcentric and a barycentric dual, we argue that the latter is, in general, more appropriate because it induces a Laplacian with more desirable properties. We give the expression of the discrete Laplacian in several different sets of geometric variables, suitable for computations in different quantum gravity formalisms. Furthermore, we investigate the possibility of transforming from position to momentum space for scalar fields, thus setting the stage for the calculation of heat kernel and spectral dimension in discrete quantum geometries.

12.058825

14.484447

12.903496

12.371069

14.652698

12.968087

13.167704

12.731335

12.658461

14.14968

11.939613

12.257548

12.490256

12.046706

12.487356

12.274792

12.746034

12.361692

12.250764

12.433187

12.148573

2201.01630

Sabrina Pasterski

Sabrina Pasterski and Herman Verlinde

Chaos in Celestial CFT

29 pages, 6 figures

null

10.1007/JHEP08(2022)106

null

hep-th

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

Celestial holography proposes a duality between gravitational scattering in asymptotically flat space-time and a conformal field theory living on the celestial sphere. Its dictionary relates the infinite dimensional space-time symmetry group to Ward identities of the CFT. The spontaneous breaking of these asymptotic symmetries governs the dynamics of the soft sector in the CFT. Here we show that this sector encodes non-trivial backreaction effects that exhibit characteristics of maximal quantum chaos. A key element in the derivation is the identification of the Hilbert space of celestial CFT, defined through radial quantization, with that of a constantly accelerating Rindler observer. From the point of view of the bulk, Rindler particles exhibit Lyapunov behavior due to shockwave interactions that shift the observer horizon. From the point of view of the boundary, the superrotation Goldstone modes affect the relevant representations of the celestial Virasoro symmetry in a manner that induces Lyapunov behavior of out-of-time-ordered celestial correlators.

[ { "created": "Wed, 5 Jan 2022 14:21:21 GMT", "version": "v1" } ]

2022-08-24

[ [ "Pasterski", "Sabrina", "" ], [ "Verlinde", "Herman", "" ] ]

Celestial holography proposes a duality between gravitational scattering in asymptotically flat space-time and a conformal field theory living on the celestial sphere. Its dictionary relates the infinite dimensional space-time symmetry group to Ward identities of the CFT. The spontaneous breaking of these asymptotic symmetries governs the dynamics of the soft sector in the CFT. Here we show that this sector encodes non-trivial backreaction effects that exhibit characteristics of maximal quantum chaos. A key element in the derivation is the identification of the Hilbert space of celestial CFT, defined through radial quantization, with that of a constantly accelerating Rindler observer. From the point of view of the bulk, Rindler particles exhibit Lyapunov behavior due to shockwave interactions that shift the observer horizon. From the point of view of the boundary, the superrotation Goldstone modes affect the relevant representations of the celestial Virasoro symmetry in a manner that induces Lyapunov behavior of out-of-time-ordered celestial correlators.

9.874514

9.173012

10.52152

8.769604

9.316318

9.046144

9.091206

8.736589

8.647207

11.379259

8.560719

8.540583

8.92931

8.612496

8.964146

8.733215

8.584082

8.62535

8.716902

9.122927

8.783775

2108.11621

Qi-Feng Wu

Sectional curvatures distribution of complexity geometry

23 pages, 4 figures

JHEP08(2022)197

10.1007/JHEP08(2022)197

null

hep-th quant-ph

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

In the geometric approach to define complexity, operator complexity is defined as the distance on the operator space. In this paper, based on the analogy with the circuit complexity, the operator size is adopted as the metric of the operator space where path length is the complexity. The typical sectional curvatures of this complexity geometry are positive. It is further proved that the typical sectional curvatures are always positive if the metric is an arbitrary function of operator size. While complexity geometry is usually expected to be defined on negatively curved manifolds. By analyzing the sectional curvatures distribution for $N$-qubit system, it is shown that surfaces generated by Hamiltonians of size smaller than the typical size can have negative curvatures. In the large $N$ limit, the form of complexity metric is uniquely constrained up to constant corrections if we require sectional curvatures are of order $1/N^2$ . With the knowledge of states, the operator size should be modified due to the redundant action of operators, thus is generalized to be state-dependent. Then we use this state-dependent operator size as the metric of the Hilbert space to define state complexity. It can also be shown that in the Hilbert space, 2-surfaces generated by operators of size much smaller than the typical size acting on typical states also have negative curvatures.

[ { "created": "Thu, 26 Aug 2021 07:23:03 GMT", "version": "v1" }, { "created": "Fri, 12 Nov 2021 09:38:27 GMT", "version": "v2" }, { "created": "Sun, 21 Aug 2022 02:15:48 GMT", "version": "v3" } ]

2022-08-23

[ [ "Wu", "Qi-Feng", "" ] ]

In the geometric approach to define complexity, operator complexity is defined as the distance on the operator space. In this paper, based on the analogy with the circuit complexity, the operator size is adopted as the metric of the operator space where path length is the complexity. The typical sectional curvatures of this complexity geometry are positive. It is further proved that the typical sectional curvatures are always positive if the metric is an arbitrary function of operator size. While complexity geometry is usually expected to be defined on negatively curved manifolds. By analyzing the sectional curvatures distribution for $N$-qubit system, it is shown that surfaces generated by Hamiltonians of size smaller than the typical size can have negative curvatures. In the large $N$ limit, the form of complexity metric is uniquely constrained up to constant corrections if we require sectional curvatures are of order $1/N^2$ . With the knowledge of states, the operator size should be modified due to the redundant action of operators, thus is generalized to be state-dependent. Then we use this state-dependent operator size as the metric of the Hilbert space to define state complexity. It can also be shown that in the Hilbert space, 2-surfaces generated by operators of size much smaller than the typical size acting on typical states also have negative curvatures.

11.70592

11.425611

11.94892

10.061728

11.207183

11.277759

10.927868

10.651698

10.24824

11.934955

10.864239

10.61596

10.212055

10.448961

10.599502

10.522535

10.420796

10.800341

10.631974

10.319843

10.614376

0901.0130

Sergei Parkhomenko

S.E.Parkhomenko

Gepner-like models and Landau-Ginzburg/sigma-model correspondence

null

J.Phys.A42:304023,2009

10.1088/1751-8113/42/30/304023

null

hep-th

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

The Gepner-like models of $k^{K}$-type is considered. When $k+2$ is multiple of $K$ the elliptic genus and the Euler characteristic is calculated. Using free-field representation we relate these models with $\sigma$-models on hypersurfaces in the total space of anticanonical bundle over the projective space $\mathbb{P}^{K-1}$.

[ { "created": "Wed, 31 Dec 2008 19:10:26 GMT", "version": "v1" }, { "created": "Mon, 26 Jan 2009 14:03:53 GMT", "version": "v2" }, { "created": "Fri, 30 Jan 2009 16:29:51 GMT", "version": "v3" }, { "created": "Thu, 5 Mar 2009 13:33:40 GMT", "version": "v4" }, { "created": "Sat, 13 Feb 2010 11:47:06 GMT", "version": "v5" } ]

2010-02-13

[ [ "Parkhomenko", "S. E.", "" ] ]

The Gepner-like models of $k^{K}$-type is considered. When $k+2$ is multiple of $K$ the elliptic genus and the Euler characteristic is calculated. Using free-field representation we relate these models with $\sigma$-models on hypersurfaces in the total space of anticanonical bundle over the projective space $\mathbb{P}^{K-1}$.

11.430727

9.891003

10.658669

9.685052

9.673672

9.670554

10.075942

9.666089

9.397223

11.211186

9.622289

9.146901

10.864465

9.546268

9.824654

9.733274

9.540111

9.560045

9.454342

10.267426

9.597876

hep-th/9601092

Slavnov

T.D.Bakeyev, A.A.Slavnov

Higher covariant derivative regularization revisited

14 pages, latex, 1 figure

Mod.Phys.Lett. A11 (1996) 1539-1554

10.1142/S0217732396001533

SMI-02-96

hep-th

null

The method of higher covariant derivative regularization of gauge theories is reviewed. The objections raised in the literature last years are discussed and the consistency of the method is proven. New approach to regularization of overlapping divergencies is developped.

[ { "created": "Thu, 18 Jan 1996 11:16:16 GMT", "version": "v1" } ]

2015-06-26

[ [ "Bakeyev", "T. D.", "" ], [ "Slavnov", "A. A.", "" ] ]

The method of higher covariant derivative regularization of gauge theories is reviewed. The objections raised in the literature last years are discussed and the consistency of the method is proven. New approach to regularization of overlapping divergencies is developped.

15.074479

12.447875

12.664416

10.769395

11.529428

11.30851

12.328519

12.617887

10.753354

12.080562

10.810926

12.378873

12.617415

11.526416

12.573027

12.422811

11.847541

13.08958

11.986701

12.459105

12.406793

2201.01657

Jonas Sommerfeldt

J. Sommerfeldt, V. A. Yerokhin, R. A. M\"uller, V. A. Zaytsev, A. V. Volotka and A. Surzhykov

Calculations of Delbr\"uck scattering to all orders in $\alpha Z$

null

hep-th

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

We present a theoretical method to calculate Delbr\"uck scattering amplitudes. Our formalism is based on the exact analytical Dirac-Coulomb Green's function and, therefore, accounts for the interaction of the virtual electron-positron pair with the nucleus to all orders, including the Coulomb corrections. The numerical convergence of our calculations is accelerated by solving the radial integrals that are involved analytically in the asymptotic region. Numerical results for the collision of photons with energies 102.2 keV and 255.5 keV with bare neon and lead nuclei are compared with the predictions of the lowest-order Born approximation. We find that our method can produce accurate results within a reasonable computation time and that the Coulomb corrections enhance the absolute value of the Delbr\"uck amplitude by a few percent for the studied photon energies.

[ { "created": "Wed, 5 Jan 2022 15:24:53 GMT", "version": "v1" } ]

2022-01-06

[ [ "Sommerfeldt", "J.", "" ], [ "Yerokhin", "V. A.", "" ], [ "Müller", "R. A.", "" ], [ "Zaytsev", "V. A.", "" ], [ "Volotka", "A. V.", "" ], [ "Surzhykov", "A.", "" ] ]

We present a theoretical method to calculate Delbr\"uck scattering amplitudes. Our formalism is based on the exact analytical Dirac-Coulomb Green's function and, therefore, accounts for the interaction of the virtual electron-positron pair with the nucleus to all orders, including the Coulomb corrections. The numerical convergence of our calculations is accelerated by solving the radial integrals that are involved analytically in the asymptotic region. Numerical results for the collision of photons with energies 102.2 keV and 255.5 keV with bare neon and lead nuclei are compared with the predictions of the lowest-order Born approximation. We find that our method can produce accurate results within a reasonable computation time and that the Coulomb corrections enhance the absolute value of the Delbr\"uck amplitude by a few percent for the studied photon energies.

6.9892

8.452045

7.302357

7.186107

7.36202

8.630359

7.908413

8.409593

6.984621

7.793668

7.516471

7.763313

7.29941

6.779686

7.355678

7.594795

7.337481

7.559808

6.6428

7.186339

7.33332

hep-th/9806163

Roberto Soldati

Michele Morara and Roberto Soldati

Consistent perturbative light-front formulation of quantum electrodynamics

PlainTeX, 29 pages, 5 Postscript figures

Phys.Rev. D58 (1998) 105011

10.1103/PhysRevD.58.105011

DFUB-97-17

hep-th

null

A new light-front formulation of Q.E.D. is developed, within the framework of standard perturbation theory, in which $x^+$ plays the role of the evolution parameter and the gauge choice is $A_+=0$ (light-front "temporal" gauge). It is shown that this formulation leads to the Mandelstam-Leibbrandt causal prescription for the non-covariant singularities in the photon propagator. Furthermore, it is proved that the dimensionally regularized one loop off-shell amplitudes exactly coincide with the correct ones, as computed within the standard approach using ordinary space-time coordinates.

[ { "created": "Fri, 19 Jun 1998 09:01:48 GMT", "version": "v1" } ]

2009-10-31

[ [ "Morara", "Michele", "" ], [ "Soldati", "Roberto", "" ] ]

A new light-front formulation of Q.E.D. is developed, within the framework of standard perturbation theory, in which $x^+$ plays the role of the evolution parameter and the gauge choice is $A_+=0$ (light-front "temporal" gauge). It is shown that this formulation leads to the Mandelstam-Leibbrandt causal prescription for the non-covariant singularities in the photon propagator. Furthermore, it is proved that the dimensionally regularized one loop off-shell amplitudes exactly coincide with the correct ones, as computed within the standard approach using ordinary space-time coordinates.

8.099365

7.592251

7.881111

7.475323

8.049467

7.55573

8.158556

7.398849

7.655713

8.597241

7.307071

6.928771

7.732864

7.734974

7.501354

7.010335

7.419823

7.409333

7.312908

7.87324

7.165466

hep-th/0012047

John F. Donoghue

Random values of the physical parameters

3 pages, talk presented at the Division of Particles and Fields Meeting, DPF 2000, Columbus, Ohio, Aug. 2000

Int.J.Mod.Phys. A16S1C (2001) 902-904

10.1142/S0217751X01008448

null

hep-th hep-ph

null

I briefly describe two motivations, two mechanisms and two possible tests of the hypothesis that the physical parameters of the ground state of a theory can vary in different regions of the universe.

[ { "created": "Wed, 6 Dec 2000 19:17:26 GMT", "version": "v1" } ]

2009-10-31

[ [ "Donoghue", "John F.", "" ] ]

I briefly describe two motivations, two mechanisms and two possible tests of the hypothesis that the physical parameters of the ground state of a theory can vary in different regions of the universe.

23.39929

19.408922

15.497816

16.048643

14.787773

17.031498

15.908273

16.512568

15.511941

20.142935

16.885227

16.810663

16.041397

15.83171

15.736857

16.115513

16.023664

17.241276

16.889492

16.548431

17.993811

0708.0240

Reza Fraeghbal

H. Arfaei, R. Fareghbal

Double Horizon Limit, AdS Geometry and Entropy Function

19 pages- minor correction - published version

Nucl.Phys.B802:405-420,2008

10.1016/j.nuclphysb.2008.04.017

IPM/P-2007/050, SUT-P-07-2b

hep-th

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

We start from a generic metric which describes four dimensional stationary black holes in an arbitrary theory of gravity and show that the AdS_2 part of the near horizon geometry is a consequence of the double-horizon limit and finiteness . We also show that the field configurations of the near horizon are determined if the same conditions are applied to the equations of motion. This is done by showing that in the double-horizon limit field equations at the horizon decouple from the bulk of the space. Solving these equations gives the near horizon field configurations. It is shown that these decoupled equations can be obtained from an action derived from the original action by applying the double-horizon condition. Our results agree with the entropy function method.

[ { "created": "Wed, 1 Aug 2007 23:02:01 GMT", "version": "v1" }, { "created": "Mon, 19 Nov 2007 11:01:04 GMT", "version": "v2" }, { "created": "Sat, 12 Jul 2008 08:11:30 GMT", "version": "v3" } ]

2008-11-26

[ [ "Arfaei", "H.", "" ], [ "Fareghbal", "R.", "" ] ]

We start from a generic metric which describes four dimensional stationary black holes in an arbitrary theory of gravity and show that the AdS_2 part of the near horizon geometry is a consequence of the double-horizon limit and finiteness . We also show that the field configurations of the near horizon are determined if the same conditions are applied to the equations of motion. This is done by showing that in the double-horizon limit field equations at the horizon decouple from the bulk of the space. Solving these equations gives the near horizon field configurations. It is shown that these decoupled equations can be obtained from an action derived from the original action by applying the double-horizon condition. Our results agree with the entropy function method.

9.270121

8.813938

9.587496

8.826518

8.911108

8.798412

9.182294

8.522102

8.636106

9.092753

8.575398

8.975463

8.865842

8.742248

8.92407

9.051185

8.703522

8.92467

8.695558

9.083817

8.659437

hep-th/0510068

Pietro Fre

Pietro Fre'

M-theory FDA, Twisted Tori and Chevalley Cohomology

LaTeX, 40 pages, article. Few typos corrected, one formula improved

Nucl.Phys.B742:86-123,2006

10.1016/j.nuclphysb.2006.02.008

DFTT/05/33

hep-th

null

The FDA algebras emerging from twisted tori compactifications of M-theory with fluxes are discussed within the general classification scheme provided by Sullivan's theorems and by Chevalley cohomology. It is shown that the generalized Maurer Cartan equations which have appeared in the literature, in spite of their complicated appearance, once suitably decoded within cohomology, lead to trivial FDA.s, all new p--form generators being contractible when the 4--form flux is cohomologically trivial. Non trivial D=4 FDA.s can emerge from non trivial fluxes but only if the cohomology class of the flux satisfies an additional algebraic condition which appears not to be satisfied in general and has to be studied for each algebra separately. As an illustration an exhaustive study of Chevalley cohomology for the simplest class of SS algebras is presented but a general formalism is developed, based on the structure of a double elliptic complex, which, besides providing the presented results, makes possible the quick analysis of compactification on any other twisted torus.

[ { "created": "Sun, 9 Oct 2005 14:00:47 GMT", "version": "v1" }, { "created": "Tue, 18 Oct 2005 16:09:38 GMT", "version": "v2" } ]

2008-11-26

[ [ "Fre'", "Pietro", "" ] ]

The FDA algebras emerging from twisted tori compactifications of M-theory with fluxes are discussed within the general classification scheme provided by Sullivan's theorems and by Chevalley cohomology. It is shown that the generalized Maurer Cartan equations which have appeared in the literature, in spite of their complicated appearance, once suitably decoded within cohomology, lead to trivial FDA.s, all new p--form generators being contractible when the 4--form flux is cohomologically trivial. Non trivial D=4 FDA.s can emerge from non trivial fluxes but only if the cohomology class of the flux satisfies an additional algebraic condition which appears not to be satisfied in general and has to be studied for each algebra separately. As an illustration an exhaustive study of Chevalley cohomology for the simplest class of SS algebras is presented but a general formalism is developed, based on the structure of a double elliptic complex, which, besides providing the presented results, makes possible the quick analysis of compactification on any other twisted torus.

17.064583

18.146692

18.570948

16.194366

17.291502

16.378038

15.961651

16.262863

15.844254

19.498322

14.639079

15.624961

16.205853

15.10883

15.682376

15.835979

15.105906

15.291484

15.517983

16.344118

15.779025

2006.12452

Chris Blair

Chris D. A. Blair, Daniel C. Thompson, Sofia Zhidkova

Exploring Exceptional Drinfeld Geometries

24 pages + appendices + refs. v2: published version

JHEP 09 (2020) 151

10.1007/JHEP09(2020)151

null

hep-th

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

We explore geometries that give rise to a novel algebraic structure, the Exceptional Drinfeld Algebra, which has recently been proposed as an approach to study generalised U-dualities, similar to the non-Abelian and Poisson-Lie generalisations of T-duality. This algebra is generically not a Lie algebra but a Leibniz algebra, and can be realised in exceptional generalised geometry or exceptional field theory through a set of frame fields giving a generalised parallelisation. We provide examples including "three-algebra geometries", which encode the structure constants for three-algebras and in some cases give novel uplifts for $CSO(p,q,r)$ gaugings of seven-dimensional maximal supergravity. We also discuss the M-theoretic embedding of both non-Abelian and Poisson-Lie T-duality.

[ { "created": "Mon, 22 Jun 2020 17:35:47 GMT", "version": "v1" }, { "created": "Mon, 12 Oct 2020 18:15:11 GMT", "version": "v2" } ]

2020-10-14

[ [ "Blair", "Chris D. A.", "" ], [ "Thompson", "Daniel C.", "" ], [ "Zhidkova", "Sofia", "" ] ]

We explore geometries that give rise to a novel algebraic structure, the Exceptional Drinfeld Algebra, which has recently been proposed as an approach to study generalised U-dualities, similar to the non-Abelian and Poisson-Lie generalisations of T-duality. This algebra is generically not a Lie algebra but a Leibniz algebra, and can be realised in exceptional generalised geometry or exceptional field theory through a set of frame fields giving a generalised parallelisation. We provide examples including "three-algebra geometries", which encode the structure constants for three-algebras and in some cases give novel uplifts for $CSO(p,q,r)$ gaugings of seven-dimensional maximal supergravity. We also discuss the M-theoretic embedding of both non-Abelian and Poisson-Lie T-duality.

9.597332

8.419817

11.55966

8.136926

8.340246

8.847393

8.316199

8.763381

8.717444

13.787217

8.167507

8.816965

9.558326

8.928263

8.818102

8.882151

9.120049

8.781843

9.064734

10.028289

8.937218

2210.16597

Poula Tadros

Poula Tadros and Iiro Vilja

Low energy models of string theory

Derived from MSc thesis

null

hep-th gr-qc

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

String theory is the prime candidate for the theory of everything. However, it must be defined in ten dimensions to be consistent. To get 4D physics, the 6 other dimensions should be curled up in a small compact manifold, this procedure is called string compactification. In this review, we will review different compactification schemes proving that in absence of flux, the compact manifold must be a Calabi-Yau manifold. Then, we review compactifications with flux using generalized complex geometry. We then discuss some applications in cosmology like the swampland project and the cosmological models derived from it. We then discuss non relativistic string theories and introduce a toroidal compactifications for such theories. Finally, we discuss some open questions in the field.

[ { "created": "Sat, 29 Oct 2022 13:33:57 GMT", "version": "v1" }, { "created": "Tue, 1 Nov 2022 08:41:18 GMT", "version": "v2" } ]

2022-11-02

[ [ "Tadros", "Poula", "" ], [ "Vilja", "Iiro", "" ] ]

String theory is the prime candidate for the theory of everything. However, it must be defined in ten dimensions to be consistent. To get 4D physics, the 6 other dimensions should be curled up in a small compact manifold, this procedure is called string compactification. In this review, we will review different compactification schemes proving that in absence of flux, the compact manifold must be a Calabi-Yau manifold. Then, we review compactifications with flux using generalized complex geometry. We then discuss some applications in cosmology like the swampland project and the cosmological models derived from it. We then discuss non relativistic string theories and introduce a toroidal compactifications for such theories. Finally, we discuss some open questions in the field.

8.658539

9.379535

9.539465

8.942406

8.941605

8.982984

8.847673

8.854917

8.491084

10.076649

8.474303

8.584266

8.617105

8.343873

8.028392

8.17439

8.243292

8.254825

8.379336

8.589745

8.134523

hep-th/9910227

Vasiliy A. Dolgushev

V.A. Dolgushev

Polynomial Gauge Invariants of a Bosonic String

4 pages, Latexfile, Talk presented at the QFTHEP'99, Moscow, 27 May - 2 June

null

hep-th

null

An open bosonic string is considered with the aim to construct a general gauge invariant, being a polynomial of Fubini-Veneziano (FV) fields. The FV fields are transformed as 1-forms on $S^1$, that allows to formulate the problem in geometric terms. We introduce a most general anzats for these invariants and explicitly resolve the invariance conditions in the framework of the anzats. The invariants are interpreted as integrals of n-form over a gauge invariant domains in an n-dimensional torus, where the invariance of these domains is considered with respect to the action of the diagonal of the group $\times (Diff~S^1)^n$. We also discuss a possibility to get a complete set of gauge invariants which allow an actual dependence on the string zero modes. We find that the complete set can't be restricted by polynomial invariants only. The classical polynomial invariants, being directly defined in the string Fock space, turn out to break the structure of the respective BRST cohomology even in the critical dimension. We discuss a possibility to restore the BRST invariance of the corresponding operator algebra by a non-trivial quantum deformation of the original invariants.

[ { "created": "Thu, 28 Oct 1999 11:59:11 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dolgushev", "V. A.", "" ] ]

An open bosonic string is considered with the aim to construct a general gauge invariant, being a polynomial of Fubini-Veneziano (FV) fields. The FV fields are transformed as 1-forms on $S^1$, that allows to formulate the problem in geometric terms. We introduce a most general anzats for these invariants and explicitly resolve the invariance conditions in the framework of the anzats. The invariants are interpreted as integrals of n-form over a gauge invariant domains in an n-dimensional torus, where the invariance of these domains is considered with respect to the action of the diagonal of the group $\times (Diff~S^1)^n$. We also discuss a possibility to get a complete set of gauge invariants which allow an actual dependence on the string zero modes. We find that the complete set can't be restricted by polynomial invariants only. The classical polynomial invariants, being directly defined in the string Fock space, turn out to break the structure of the respective BRST cohomology even in the critical dimension. We discuss a possibility to restore the BRST invariance of the corresponding operator algebra by a non-trivial quantum deformation of the original invariants.

13.512141

14.283587

14.07822

13.0132

14.248716

13.605507

13.067883

12.911358

13.299122

14.682178

12.733429

12.626417

13.104671

12.623882

12.631542

12.811083

12.82128

13.010967

13.037419

13.294214

12.527837

hep-th/0310210

M. Meyer

Howard J. Schnitzer

Gauged Vector Models and Higher-Spin Representations in AdS_5

18 pages, LaTex, 1 figure, v. 2, references added; a minor correction

Nucl.Phys. B695 (2004) 283-300

10.1016/j.nuclphysb.2004.06.055

BRX TH-524

hep-th

null

Motivated by the work of Klebanov and Polyakov [hep-th/0210114] on the relationship of the large N O(N) vector model in three-dimensions to AdS_4 and higher spin representations, we attempt to find analogous connections for AdS_5. Since the usual O(N) vector model in four-dimensions is inconsistent, we consider the (consistent) large N gauged vector model and a N=1 supersymmetric analogue in four-dimensions. Both these theories have UV and IR fixed points, and are candidates for a (\alpha')^-1 expansion in AdS_5, a conjectured AdS_5/CFT correspondence and higher-spin representations in the bulk theory.

[ { "created": "Wed, 22 Oct 2003 19:13:44 GMT", "version": "v1" }, { "created": "Tue, 4 Nov 2003 18:49:30 GMT", "version": "v2" } ]

2009-11-10

[ [ "Schnitzer", "Howard J.", "" ] ]

Motivated by the work of Klebanov and Polyakov [hep-th/0210114] on the relationship of the large N O(N) vector model in three-dimensions to AdS_4 and higher spin representations, we attempt to find analogous connections for AdS_5. Since the usual O(N) vector model in four-dimensions is inconsistent, we consider the (consistent) large N gauged vector model and a N=1 supersymmetric analogue in four-dimensions. Both these theories have UV and IR fixed points, and are candidates for a (\alpha')^-1 expansion in AdS_5, a conjectured AdS_5/CFT correspondence and higher-spin representations in the bulk theory.

8.488333

8.997048

10.76261

7.788832

8.419614

8.296591

8.749181

8.818969

8.304161

10.788535

8.736693

8.164055

8.50404

8.24958

8.231018

8.067241

8.380727

8.027249

8.003858

8.45939

8.148873

0904.0188

Antonio De Felice

Antonio De Felice, Christophe Ringeval

Charged seven-dimensional spacetimes with spherically symmetric extra-dimensions

14 pages, 8 figures, uses RevTeX. Physical discussion clarified, wormhole solutions added. References added

Phys.Rev.D79:123525,2009

10.1103/PhysRevD.79.123525

null

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

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

We derive exact solutions of the seven-dimensional Einstein-Maxwell equations for a spacetime exhibiting Poincare invariance along four-dimensions and spherical symmetry in the extra-dimensions. Such topology generically arises in the context of braneworld models. Our solutions generalise previous results on Ricci-flat spacetimes admitting the two-sphere and are shown to include wormhole configurations. A regular coordinate system suitable to describe the whole spacetime is singled-out and we discuss the physical relevance of the derived solutions.

[ { "created": "Wed, 1 Apr 2009 15:38:44 GMT", "version": "v1" }, { "created": "Thu, 14 May 2009 15:22:34 GMT", "version": "v2" } ]

2009-07-09

[ [ "De Felice", "Antonio", "" ], [ "Ringeval", "Christophe", "" ] ]

We derive exact solutions of the seven-dimensional Einstein-Maxwell equations for a spacetime exhibiting Poincare invariance along four-dimensions and spherical symmetry in the extra-dimensions. Such topology generically arises in the context of braneworld models. Our solutions generalise previous results on Ricci-flat spacetimes admitting the two-sphere and are shown to include wormhole configurations. A regular coordinate system suitable to describe the whole spacetime is singled-out and we discuss the physical relevance of the derived solutions.

11.85112

11.077028

10.984714

10.155487

11.036031

11.408908

11.195464

10.732006

10.262331

11.668729

10.875875

11.021285

11.143156

10.732917

11.013888

10.906849

10.845497

11.157771

10.719532

11.598965

10.55695

2404.10127

Cielo Ramirez De Arellano Torres

Mariano Chernicoff, Gaston Giribet, Javier Moreno, Julio Oliva, Raul Rojas, Cielo Ramirez de Arellano Torres

Quantum backreactions in (A)dS3 massive gravity and logarithmic asymptotic behavior

16 pages

null

hep-th gr-qc

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

We study the interplay between higher curvature terms and the backreaction of quantum fluctuations in 3-dimensional massive gravity in asymptotically (Anti-)de Sitter space. We focus on the theory at the special point of the parameter space where the two maximally symmetric vacua coincide. In the case of positive cosmological constant, this corresponds to the partially massless point, at which the classical theory admits de Sitter black holes and exhibits an extra conformal symmetry at linear level. We explicitly find the quantum corrected black hole geometry in the semiclassical approximation and show that it induces a relaxation of the standard asymptotic conditions. Nonetheless, the new asymptotic behavior is still preserved by an infinite-dimensional algebra, which, in addition to Virasoro, contains logarithmic supertranslations. Finally, we show that all the results we obtain for the quadratic massive gravity theory can be extended to theories including cubic and quartic terms in the curvature.

[ { "created": "Mon, 15 Apr 2024 20:30:37 GMT", "version": "v1" } ]

2024-04-17

[ [ "Chernicoff", "Mariano", "" ], [ "Giribet", "Gaston", "" ], [ "Moreno", "Javier", "" ], [ "Oliva", "Julio", "" ], [ "Rojas", "Raul", "" ], [ "Torres", "Cielo Ramirez de Arellano", "" ] ]

We study the interplay between higher curvature terms and the backreaction of quantum fluctuations in 3-dimensional massive gravity in asymptotically (Anti-)de Sitter space. We focus on the theory at the special point of the parameter space where the two maximally symmetric vacua coincide. In the case of positive cosmological constant, this corresponds to the partially massless point, at which the classical theory admits de Sitter black holes and exhibits an extra conformal symmetry at linear level. We explicitly find the quantum corrected black hole geometry in the semiclassical approximation and show that it induces a relaxation of the standard asymptotic conditions. Nonetheless, the new asymptotic behavior is still preserved by an infinite-dimensional algebra, which, in addition to Virasoro, contains logarithmic supertranslations. Finally, we show that all the results we obtain for the quadratic massive gravity theory can be extended to theories including cubic and quartic terms in the curvature.

8.325914

7.785233

8.270756

7.568685

8.231536

7.75988

7.621711

7.843019

7.65549

8.94191

7.510485

7.914105

8.459321

8.064508

8.170664

8.008914

7.695881

7.897161

8.146013

8.306893

7.979039

0812.0620

Klaus Kirsten

Gerald Dunne and Klaus Kirsten

Simplified Vacuum Energy Expressions for Radial Backgrounds and Domain Walls

30 pages

J.Phys.A42:075402,2009

10.1088/1751-8113/42/7/075402

null

hep-th math-ph math.MP

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

We extend our previous results of simplified expressions for functional determinants for radial Schr\"odinger operators to the computation of vacuum energy, or mass corrections, for static but spatially radial backgrounds, and for domain wall configurations. Our method is based on the zeta function approach to the Gel'fand-Yaglom theorem, suitably extended to higher dimensional systems on separable manifolds. We find new expressions that are easy to implement numerically, for both zero and nonzero temperature.

[ { "created": "Tue, 2 Dec 2008 23:41:57 GMT", "version": "v1" } ]

2009-03-12

[ [ "Dunne", "Gerald", "" ], [ "Kirsten", "Klaus", "" ] ]

We extend our previous results of simplified expressions for functional determinants for radial Schr\"odinger operators to the computation of vacuum energy, or mass corrections, for static but spatially radial backgrounds, and for domain wall configurations. Our method is based on the zeta function approach to the Gel'fand-Yaglom theorem, suitably extended to higher dimensional systems on separable manifolds. We find new expressions that are easy to implement numerically, for both zero and nonzero temperature.

14.805708

12.645324

14.894044

13.195848

13.421057

13.352651

15.163066

13.555217

13.432571

14.336461

13.184673

13.259515

13.444539

12.902357

13.672092

13.635716

13.611661

13.491718

13.182291

13.291159

13.288877

hep-th/9511225

Peter Johnson

Edwin J. Beggs, Peter R. Johnson (Wales, Swansea)

The generic soliton of the $A_n$ affine Toda field theories

14 pages, 5 .eps figures, compressed tar file, print out plot4.eps and plot5.eps separately

null

hep-th

null

In this note we show that the single soliton solutions known previously in the $1+1$ dimensional affine Toda field theories from a variety of different methods \cite{H1,MM,OTUa,OTUb}, are in fact not the most general single soliton solutions. We exhibit single soliton solutions with additional small parameters which reduce to the previously known solutions when these extra parameters are set to zero. The new solution has the same mass and topological charges as the standard solution when these parameters are set to zero. However we cannot yet completely rule out the possibility that other solutions with larger values of these extra parameters are non-singular, in the cases where the number of extra parameters is greater than one, and if so their topological charges would most likely be different.

[ { "created": "Thu, 30 Nov 1995 20:11:50 GMT", "version": "v1" } ]

2007-05-23

[ [ "Beggs", "Edwin J.", "", "Wales, Swansea" ], [ "Johnson", "Peter R.", "", "Wales, Swansea" ] ]

In this note we show that the single soliton solutions known previously in the $1+1$ dimensional affine Toda field theories from a variety of different methods \cite{H1,MM,OTUa,OTUb}, are in fact not the most general single soliton solutions. We exhibit single soliton solutions with additional small parameters which reduce to the previously known solutions when these extra parameters are set to zero. The new solution has the same mass and topological charges as the standard solution when these parameters are set to zero. However we cannot yet completely rule out the possibility that other solutions with larger values of these extra parameters are non-singular, in the cases where the number of extra parameters is greater than one, and if so their topological charges would most likely be different.

8.242643

9.243216

8.898346

7.92298

9.009719

8.514927

8.217319

8.237972

8.093087

10.097993

8.216284

8.372992

8.80989

8.390553

8.481955

8.463859

8.538875

8.316897

8.387678

8.309755

8.030131

hep-th/0310199

Manuel Barros

Josu Arroyo, Manuel Barros and Oscar J. Garay

Models of relativistic particle with curvature and torsion revisited

13 pages

Gen.Rel.Grav. 36 (2004) 1441-1451

10.1023/B:GERG.0000022580.08717.40

null

hep-th

null

Models, describing relativistic particles, where Lagrangian densities depend linearly on both the curvature and the torsion of the trajectories, are revisited in D=3 space forms. The moduli spaces of trajectories are completely and explicitly determined using the Lancret program. The moduli subspaces of closed solitons in the three sphere are also determined.

[ { "created": "Tue, 21 Oct 2003 09:22:25 GMT", "version": "v1" } ]

2009-11-10

[ [ "Arroyo", "Josu", "" ], [ "Barros", "Manuel", "" ], [ "Garay", "Oscar J.", "" ] ]

Models, describing relativistic particles, where Lagrangian densities depend linearly on both the curvature and the torsion of the trajectories, are revisited in D=3 space forms. The moduli spaces of trajectories are completely and explicitly determined using the Lancret program. The moduli subspaces of closed solitons in the three sphere are also determined.

24.467489

20.230223

25.387606

20.298035

21.979376

23.398493

21.14785

23.1577

19.912649

27.017929

22.913975

20.740683

22.961102

22.174267

21.698742

22.058704

22.272316

22.272924

21.890211

22.293858

20.950068

hep-th/0306207

Paul H. Frampton

Paul H. Frampton and Thomas W. Kephart

Consistency Conditions for AdS/CFT Embeddings

10 pages LaTeX

Int.J.Mod.Phys. A19 (2004) 593-598

10.1142/S0217751X04017902

null

hep-th

null

The group embeddings used in orbifolding the AdS/CFT correspondence to arrive at quiver gauge field theories are studied for both supersymmetric and non-supersymmetric cases. For an orbifold $AdS_5 \times S^5/\Gamma$ the conditions for embeddings of the finite group $\Gamma$ in the $SU(4) \sim O(6)$ isotropy of $S^5$ are stated in the form of consistency rules, both for Abelian and Non-Abelian $\Gamma$.

[ { "created": "Fri, 20 Jun 2003 19:58:30 GMT", "version": "v1" } ]

2016-12-21

[ [ "Frampton", "Paul H.", "" ], [ "Kephart", "Thomas W.", "" ] ]

The group embeddings used in orbifolding the AdS/CFT correspondence to arrive at quiver gauge field theories are studied for both supersymmetric and non-supersymmetric cases. For an orbifold $AdS_5 \times S^5/\Gamma$ the conditions for embeddings of the finite group $\Gamma$ in the $SU(4) \sim O(6)$ isotropy of $S^5$ are stated in the form of consistency rules, both for Abelian and Non-Abelian $\Gamma$.

8.051947

7.152324

7.423009

6.739771

7.330126

7.274056

7.315204

7.004489

6.674556

8.317167

7.414824

7.383736

7.481437

7.104031

6.828272

7.128244

7.1566

7.300672

7.098575

7.677166

7.161747

2011.07062

Nathan Benjamin

Nathan Benjamin, Christoph A. Keller, Hirosi Ooguri, Ida G. Zadeh

On Rational Points in CFT Moduli Spaces

24 pages, 5 figures

null

10.1007/JHEP04(2021)067

CALT-TH 2020-050, IPMU20-0117

hep-th

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

Motivated by the search for rational points in moduli spaces of two-dimensional conformal field theories, we investigate how points with enhanced symmetry algebras are distributed there. We first study the bosonic sigma-model with $S^1$ target space in detail and uncover hitherto unknown features. We find for instance that the vanishing of the twist gap, though true for the $S^1$ example, does not automatically follow from enhanced symmetry points being dense in the moduli space. We then explore the supersymmetric sigma-model on K3 by perturbing away from the torus orbifold locus. Though we do not reach a definite conclusion on the distribution of enhanced symmetry points in the K3 moduli space, we make several observations on how chiral currents can emerge and disappear under conformal perturbation theory.

[ { "created": "Fri, 13 Nov 2020 18:58:12 GMT", "version": "v1" } ]

2021-04-28

[ [ "Benjamin", "Nathan", "" ], [ "Keller", "Christoph A.", "" ], [ "Ooguri", "Hirosi", "" ], [ "Zadeh", "Ida G.", "" ] ]

Motivated by the search for rational points in moduli spaces of two-dimensional conformal field theories, we investigate how points with enhanced symmetry algebras are distributed there. We first study the bosonic sigma-model with $S^1$ target space in detail and uncover hitherto unknown features. We find for instance that the vanishing of the twist gap, though true for the $S^1$ example, does not automatically follow from enhanced symmetry points being dense in the moduli space. We then explore the supersymmetric sigma-model on K3 by perturbing away from the torus orbifold locus. Though we do not reach a definite conclusion on the distribution of enhanced symmetry points in the K3 moduli space, we make several observations on how chiral currents can emerge and disappear under conformal perturbation theory.

10.109951

9.168083

10.603702

9.276316

9.897655

9.456646

9.563697

9.070015

8.722403

11.940035

8.574677

9.26902

9.592354

9.323312

9.158469

9.120425

9.114002

9.372757

9.608473

9.756988

9.074683

2008.00868

O-Kab Kwon

Yoonbai Kim, O-Kab Kwon, D.D. Tolla

Super Yang-Mills Theories with Inhomogeneous Mass Deformations

22 pages

null

10.1007/JHEP12(2020)060

null

hep-th

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

We construct the 4-dimensional ${\cal N}=\frac12$ and ${\cal N}=1$ inhomogeneously mass-deformed super Yang-Mills theories from the ${\cal N} =1^*$ and ${\cal N} =2^*$ theories, respectively, and analyse their supersymmetric vacua. The inhomogeneity is attributed to the dependence of background fluxes in the type IIB supergravity on a single spatial coordinate. This gives rise to inhomogeneous mass functions in the ${\cal N} =4$ super Yang-Mills theory which describes the dynamics of D3-branes. The Killing spinor equations for those inhomogeneous theories lead to the supersymmetric vacuum equation and a boundary condition. We investigate two types of solutions in the $ {\cal N}=\frac12$ theory, corresponding to the cases of asymptotically constant mass functions and periodic mass functions. For the former case, the boundary condition gives a relation between the parameters of two possibly distinct vacua at the asymptotic boundaries. Brane interpretations for corresponding vacuum solutions in type IIB supergravity are also discussed. For the latter case, we obtain explicit forms of the periodic vacuum solutions.

[ { "created": "Mon, 3 Aug 2020 13:37:06 GMT", "version": "v1" } ]

2020-12-30

[ [ "Kim", "Yoonbai", "" ], [ "Kwon", "O-Kab", "" ], [ "Tolla", "D. D.", "" ] ]

We construct the 4-dimensional ${\cal N}=\frac12$ and ${\cal N}=1$ inhomogeneously mass-deformed super Yang-Mills theories from the ${\cal N} =1^*$ and ${\cal N} =2^*$ theories, respectively, and analyse their supersymmetric vacua. The inhomogeneity is attributed to the dependence of background fluxes in the type IIB supergravity on a single spatial coordinate. This gives rise to inhomogeneous mass functions in the ${\cal N} =4$ super Yang-Mills theory which describes the dynamics of D3-branes. The Killing spinor equations for those inhomogeneous theories lead to the supersymmetric vacuum equation and a boundary condition. We investigate two types of solutions in the $ {\cal N}=\frac12$ theory, corresponding to the cases of asymptotically constant mass functions and periodic mass functions. For the former case, the boundary condition gives a relation between the parameters of two possibly distinct vacua at the asymptotic boundaries. Brane interpretations for corresponding vacuum solutions in type IIB supergravity are also discussed. For the latter case, we obtain explicit forms of the periodic vacuum solutions.

6.622477

6.562614

7.553199

6.694129

6.37896

6.592221

6.545931

6.600687

6.439691

7.384403

6.376891

6.335595

6.713723

6.50737

6.397935

6.312048

6.379718

6.471715

6.391975

6.715204

6.276015

2003.04954

Mario Martone

Philip Argyres and Mario Martone

Construction and classification of Coulomb branch geometries

8 pages, 1 figure

null

hep-th

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

We give a non-technical summary of the classification program, very dear to the hearts of both authors, of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) based on the study of their Coulomb branch geometries. We outline the main ideas behind this program, review the most important results thus far obtained, and the prospects for future results. This contribution will appear in the volume "the Pollica perspective on the (super)-conformal world" but we decided to also make it available separately in the hope that it could be useful to those who are interested in obtaining a quick grasp of this rapidly developing program.

[ { "created": "Tue, 10 Mar 2020 20:15:31 GMT", "version": "v1" } ]

2020-03-12

[ [ "Argyres", "Philip", "" ], [ "Martone", "Mario", "" ] ]

We give a non-technical summary of the classification program, very dear to the hearts of both authors, of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) based on the study of their Coulomb branch geometries. We outline the main ideas behind this program, review the most important results thus far obtained, and the prospects for future results. This contribution will appear in the volume "the Pollica perspective on the (super)-conformal world" but we decided to also make it available separately in the hope that it could be useful to those who are interested in obtaining a quick grasp of this rapidly developing program.

10.594153

10.041098

12.875451

9.900945

10.140477

10.634853

10.36689

10.336672

9.229538

13.485927

8.789525

9.71281

10.997803

10.019364

9.555305

9.578201

9.519299

9.624519

9.628448

10.625793

9.90064

hep-th/0006036

Pietro Antonio Grassi

L.Baulieu (Paris U. IV-VII & Chicago U.), P.A.Grassi, D.Zwanziger (New York U.)

Gauge and Topological Symmetries in the Bulk Quantization of Gauge Theories

June 2000. 37pp. Improved discussion of the definition of observables and derivation of the action

Nucl.Phys. B597 (2001) 583-614

10.1016/S0550-3213(00)00725-2

LPTHE-00-20, NYU-TH-30-5-00

hep-th hep-lat hep-ph

null

A gauge theory with 4 physical dimensions can be consistently expressed as a renormalizable topological quantum field theory in 5 dimensions. We extend the symmetries in the 5-dimensional framework to include not only a topological BRST operator S that encodes the invisibility of the "bulk" (the fifth dimension), but also a gauge BRST operator W that encodes gauge-invariance and selects observables. These symmetries provide a rich structure of Ward identities which assure the renormalizability of the theory, including non-renormalization theorems. The 5-dimensional approach considerably simplifies conceptual questions such as for instance the Gribov phenomenon and fermion doubling. A confinement scenario in the 5-dimensional framework is sketched. We detail the five-dimensional mechanism of anomalies, and we exhibit a natural lattice discretization that is free of fermion doubling.

[ { "created": "Mon, 5 Jun 2000 22:05:58 GMT", "version": "v1" }, { "created": "Thu, 16 Nov 2000 20:51:16 GMT", "version": "v2" } ]

2009-10-31

[ [ "Baulieu", "L.", "", "Paris U. IV-VII & Chicago U." ], [ "Grassi", "P. A.", "", "New\n York U." ], [ "Zwanziger", "D.", "", "New\n York U." ] ]

A gauge theory with 4 physical dimensions can be consistently expressed as a renormalizable topological quantum field theory in 5 dimensions. We extend the symmetries in the 5-dimensional framework to include not only a topological BRST operator S that encodes the invisibility of the "bulk" (the fifth dimension), but also a gauge BRST operator W that encodes gauge-invariance and selects observables. These symmetries provide a rich structure of Ward identities which assure the renormalizability of the theory, including non-renormalization theorems. The 5-dimensional approach considerably simplifies conceptual questions such as for instance the Gribov phenomenon and fermion doubling. A confinement scenario in the 5-dimensional framework is sketched. We detail the five-dimensional mechanism of anomalies, and we exhibit a natural lattice discretization that is free of fermion doubling.

11.589909

10.985424

11.743379

10.66213

11.793403

11.435061

11.806461

11.541718

11.601069

13.034516

10.517161

11.049058

11.251044

10.963861

10.841797

11.308232

10.823461

10.977411

11.13048

10.855103

10.867889

hep-th/0701151

Bert Janssen

B. Janssen, Yolanda Lozano, Diego Rodriguez-Gomez

Adding magnetic flux to the baryon vertex

6 pages, 2 figures. Contribution to the proceedings of the RTN workshop in Napoli, Octobre 2006

Fortsch.Phys.55:765-770,2007

10.1002/prop.200610352

UG-FT-214/07, CAFPE-84/07, FFUOV-07/02

hep-th

null

We generalise the baryon vertex configuration of AdS/CFT by adding magnetic field on its worldvolume, dissolving D-string charge. A careful analysis of the configuration shows that there is an upper bound on the number of dissolved strings. We provide a microscopical description of this configuration in terms of a dielectric effect for the dissolved strings.

[ { "created": "Tue, 16 Jan 2007 11:08:35 GMT", "version": "v1" } ]

2008-11-26

[ [ "Janssen", "B.", "" ], [ "Lozano", "Yolanda", "" ], [ "Rodriguez-Gomez", "Diego", "" ] ]

We generalise the baryon vertex configuration of AdS/CFT by adding magnetic field on its worldvolume, dissolving D-string charge. A careful analysis of the configuration shows that there is an upper bound on the number of dissolved strings. We provide a microscopical description of this configuration in terms of a dielectric effect for the dissolved strings.

15.755625

8.317623

20.733978

11.34732

12.569589

12.124727

11.958758

7.900394

10.908763

20.32629

10.620804

10.8608

18.607964

14.118379

13.689788

12.357514

13.299562

11.809565

14.314056

17.789068

12.049302

hep-th/0306222

Cosmas Zachos

Membranes and Consistent Quantization of Nambu Dynamics

LaTeX2e, 8 pages, 1 figure. Invited talk at the 8th International Wigner Symposium, 26-30 May 2003, New York, SPIRES Conf C03/05/26

Phys.Lett.B570:82-88,2003

10.1016/j.physletb.2003.07.027

ANL-HEP-PR-03-051

hep-th

null

The dynamics of even topological open membranes relies on Nambu Brackets. Consequently, such 2p-branes can be quantized through the consistent quantization of the underlying Nambu dynamical structures. This is a summary construction relying on the methods detailed in refs hep-th/0205063 and hep-th/0212267.

[ { "created": "Mon, 23 Jun 2003 16:10:07 GMT", "version": "v1" }, { "created": "Thu, 3 Jul 2003 14:46:19 GMT", "version": "v2" }, { "created": "Fri, 22 Aug 2003 15:42:38 GMT", "version": "v3" } ]

2009-10-02

[ [ "Zachos", "Cosmas", "" ] ]

The dynamics of even topological open membranes relies on Nambu Brackets. Consequently, such 2p-branes can be quantized through the consistent quantization of the underlying Nambu dynamical structures. This is a summary construction relying on the methods detailed in refs hep-th/0205063 and hep-th/0212267.

22.699806

19.757433

22.560154

19.443848

18.37661

19.63694

20.88888

17.584654

18.239889

23.261948

17.544188

21.509611

22.994953

20.244932

20.783381

20.405277

20.627525

20.638727

21.003942

21.956871

19.926962

1108.2567

Eric Perlmutter

Per Kraus, Eric Perlmutter

Partition functions of higher spin black holes and their CFT duals

28 pages; v2, added ref

JHEP 1111:061,2011

10.1007/JHEP11(2011)061

null

hep-th

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

We find black hole solutions of D=3 higher-spin gravity in the hs[\lambda] + hs[\lambda] Chern-Simons formulation. These solutions have a spin-3 chemical potential, and carry nonzero values for an infinite number of charges of the asymptotic W_{\infty}[\lambda] symmetry. Applying a previously developed set of rules for ensuring smooth solutions, we compute the black hole partition function perturbatively in the chemical potential. At \lambda =0, 1 we compare our result against boundary CFT computations involving free bosons and fermions, and find perfect agreement. For generic \lambda\ we expect that our gravity result will match the partition function of the coset CFTs conjectured by Gaberdiel and Gopakumar to be dual to these bulk theories.

[ { "created": "Fri, 12 Aug 2011 05:46:09 GMT", "version": "v1" }, { "created": "Fri, 16 Sep 2011 22:07:45 GMT", "version": "v2" } ]

2015-05-30

[ [ "Kraus", "Per", "" ], [ "Perlmutter", "Eric", "" ] ]

We find black hole solutions of D=3 higher-spin gravity in the hs[\lambda] + hs[\lambda] Chern-Simons formulation. These solutions have a spin-3 chemical potential, and carry nonzero values for an infinite number of charges of the asymptotic W_{\infty}[\lambda] symmetry. Applying a previously developed set of rules for ensuring smooth solutions, we compute the black hole partition function perturbatively in the chemical potential. At \lambda =0, 1 we compare our result against boundary CFT computations involving free bosons and fermions, and find perfect agreement. For generic \lambda\ we expect that our gravity result will match the partition function of the coset CFTs conjectured by Gaberdiel and Gopakumar to be dual to these bulk theories.

9.56704

7.341979

12.823055

8.02377

7.795257

7.82768

8.225444

7.493512

7.486476

12.129775

7.330728

8.179794

9.909917

8.382121

8.533596

8.457597

8.346604

7.962501

8.258705

9.798074

8.049726

hep-th/9604198

Michael Douglas

Michael R. Douglas

Gauge Fields and D-branes

harvmac, 9pp

J.Geom.Phys. 28 (1998) 255-262

10.1016/S0393-0440(97)00024-7

RU-96-24

hep-th

null

We prove that self-dual gauge fields in type I superstring theory are equivalent to configurations of Dirichlet 5-branes, by showing that the world-sheet theory of a Dirichlet 1-brane moving in a background of 5-branes includes an ``ADHM sigma model.'' This provides an explicit construction of the equivalent self-dual gauge field. We also discuss type II.

[ { "created": "Tue, 30 Apr 1996 20:26:37 GMT", "version": "v1" } ]

2015-06-26

[ [ "Douglas", "Michael R.", "" ] ]

We prove that self-dual gauge fields in type I superstring theory are equivalent to configurations of Dirichlet 5-branes, by showing that the world-sheet theory of a Dirichlet 1-brane moving in a background of 5-branes includes an ``ADHM sigma model.'' This provides an explicit construction of the equivalent self-dual gauge field. We also discuss type II.

10.152819

7.962255

12.384039

8.651847

7.71509

9.354177

8.706093

7.80046

8.14439

11.306603

8.543701

8.879751

10.19206

8.975135

8.859784

9.16402

9.117299

9.151565

8.987821

9.871975

8.985751

1707.04713

Takafumi Suzuki

Shinichi Deguchi, Takafumi Suzuki

Twistor formulation of a massive particle with rigidity

50 pages, Section 6 is revised, A reference added, minor corrections, Published version

Nucl. Phys. B 932 (2018) 385

10.1016/j.nuclphysb.2018.05.016

null

hep-th math-ph math.MP

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

A massive rigid particle model in $(3+1)$ dimensions is reformulated in terms of twistors. Beginning with a first-order Lagrangian, we establish a twistor representation of the Lagrangian for a massive particle with rigidity. The twistorial Lagrangian derived in this way remains invariant under a local $U(1) \times U(1)$ transformation of the twistor and other relevant variables. Considering this fact, we carry out a partial gauge-fixing so as to make our analysis simple and clear. We develop the canonical Hamiltonian formalism based on the gauge-fixed Lagrangian and perform the canonical quantization procedure of the Hamiltonian system. Also, we obtain an arbitrary-rank massive spinor field in $(3+1)$ dimensions via the Penrose transform of a twistor function defined in the quantization procedure. Then we prove, in a twistorial fashion, that the spin quantum number of a massive particle with rigidity can take only non-negative integer values, which result is in agreement with the one shown earlier by Plyushchay. Interestingly, the mass of the spinor field is determined depending on the spin quantum number.

[ { "created": "Sat, 15 Jul 2017 09:13:16 GMT", "version": "v1" }, { "created": "Tue, 18 Jul 2017 09:53:19 GMT", "version": "v2" }, { "created": "Fri, 1 Jun 2018 03:35:43 GMT", "version": "v3" } ]

2018-06-04

[ [ "Deguchi", "Shinichi", "" ], [ "Suzuki", "Takafumi", "" ] ]

A massive rigid particle model in $(3+1)$ dimensions is reformulated in terms of twistors. Beginning with a first-order Lagrangian, we establish a twistor representation of the Lagrangian for a massive particle with rigidity. The twistorial Lagrangian derived in this way remains invariant under a local $U(1) \times U(1)$ transformation of the twistor and other relevant variables. Considering this fact, we carry out a partial gauge-fixing so as to make our analysis simple and clear. We develop the canonical Hamiltonian formalism based on the gauge-fixed Lagrangian and perform the canonical quantization procedure of the Hamiltonian system. Also, we obtain an arbitrary-rank massive spinor field in $(3+1)$ dimensions via the Penrose transform of a twistor function defined in the quantization procedure. Then we prove, in a twistorial fashion, that the spin quantum number of a massive particle with rigidity can take only non-negative integer values, which result is in agreement with the one shown earlier by Plyushchay. Interestingly, the mass of the spinor field is determined depending on the spin quantum number.

8.61862

8.235455

8.040197

7.775668

8.195731

8.217257

8.339575

8.034372

7.710007

8.344648

8.103388

7.687497

7.631567

7.46695

7.70205

7.706398

7.791063

7.616107

7.872859

7.840741

7.438031

hep-th/9509115

null

Karim Benakli

Perturbative Supersymmetry Breaking In Orbifolds With Wilson Line Backgrounds

TEX 13 pages

Phys.Lett.B386:106-114,1996

10.1016/0370-2693(96)00902-1

IC/95/306

hep-th hep-ph

null

A way to break supersymmetry in perturbative superstring theory is the string version of the Scherk-Schwarz mechanism. There, the fermions and bosons have mass splitting due to different compactification boundary conditions. We consider the implementation of this mechanism in abelian orbifold compactifications with Wilson line backgrounds. For $Z_N$ and $Z_N\times Z_M$ orbifolds, we give the possible $U(1)$ R-symmetries which determine the mass splitting, and thus, the supersymmetry breaking at the perturbative level. The phenomenlogical viability of this mechanism implies some dimension(s) to be as large as the TeV scale. We explain how the lighter Kaluza-Klein states associated with the extra-dimension(s) have quantum numbers depending on the Wilson lines used.

[ { "created": "Thu, 21 Sep 1995 15:59:38 GMT", "version": "v1" } ]

2011-05-05

[ [ "Benakli", "Karim", "" ] ]

A way to break supersymmetry in perturbative superstring theory is the string version of the Scherk-Schwarz mechanism. There, the fermions and bosons have mass splitting due to different compactification boundary conditions. We consider the implementation of this mechanism in abelian orbifold compactifications with Wilson line backgrounds. For $Z_N$ and $Z_N\times Z_M$ orbifolds, we give the possible $U(1)$ R-symmetries which determine the mass splitting, and thus, the supersymmetry breaking at the perturbative level. The phenomenlogical viability of this mechanism implies some dimension(s) to be as large as the TeV scale. We explain how the lighter Kaluza-Klein states associated with the extra-dimension(s) have quantum numbers depending on the Wilson lines used.

8.980549

8.960056

8.349587

8.144388

8.425755

8.580227

8.836518

8.319809

8.472502

9.73098

8.581133

8.381038

8.496756

8.31395

8.635335

8.398211

8.518324

8.491504

8.349194

8.64005

8.355365

hep-th/9903089

Maria A. Lledo

R. D'Auria, S. Ferrara amd M. A. Lled\'o

On Central Charges and Hamiltonians for 0-brane dynamics

23 pages, latex file

Phys.Rev.D60:084007,1999

10.1103/PhysRevD.60.084007

CERN-TH/99-53

hep-th

null

We consider general properties of central charges of zero branes and associated duality invariants, in view of their double role, on the bulk and on the world volume (quantum-mechanical) theory. A detailed study of the BPS condition for the mass spectrum arising from toroidal compactifications is given for 1/2, 1/4 and 1/8 BPS states in any dimensions. As a byproduct, we retreive the U-duality invariant conditions on the charge (zero mode) spectrum and the orbit classification of BPS states preserving different fractions of supersymmetry. The BPS condition for 0-branes in theories with 16 supersymmetries in any dimension is also discussed.

[ { "created": "Wed, 10 Mar 1999 18:04:29 GMT", "version": "v1" } ]

2010-11-19

[ [ "D'Auria", "R.", "" ], [ "Lledó", "S. Ferrara amd M. A.", "" ] ]

We consider general properties of central charges of zero branes and associated duality invariants, in view of their double role, on the bulk and on the world volume (quantum-mechanical) theory. A detailed study of the BPS condition for the mass spectrum arising from toroidal compactifications is given for 1/2, 1/4 and 1/8 BPS states in any dimensions. As a byproduct, we retreive the U-duality invariant conditions on the charge (zero mode) spectrum and the orbit classification of BPS states preserving different fractions of supersymmetry. The BPS condition for 0-branes in theories with 16 supersymmetries in any dimension is also discussed.

11.204517

11.636244

12.148619

10.050555

11.529032

11.368796

10.881426

9.983106

10.659081

12.538122

10.046818

10.724299

10.879455

10.457876

10.143765

10.663575

10.6821

10.600818

10.374688

11.161662

10.097634

1301.2500

Miguel Paulos

Dhritiman Nandan, Miguel F. Paulos, Marcus Spradlin and Anastasia Volovich

Star Integrals, Convolutions and Simplices

23 pages

null

10.1007/JHEP05(2013)105

null

hep-th

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

We explore single and multi-loop conformal integrals, such as the ones appearing in dual conformal theories in flat space. Using Mellin amplitudes, a large class of higher loop integrals can be written as simple integro-differential operators on star integrals: one-loop $n$-gon integrals in $n$ dimensions. These are known to be given by volumes of hyperbolic simplices. We explicitly compute the five-dimensional pentagon integral in full generality using Schl\"afli's formula. Then, as a first step to understanding higher loops, we use spline technology to construct explicitly the $6d$ hexagon and $8d$ octagon integrals in two-dimensional kinematics. The fully massive hexagon and octagon integrals are then related to the double box and triple box integrals respectively. We comment on the classes of functions needed to express these integrals in general kinematics, involving elliptic functions and beyond.

[ { "created": "Fri, 11 Jan 2013 13:57:27 GMT", "version": "v1" } ]

2015-06-12

[ [ "Nandan", "Dhritiman", "" ], [ "Paulos", "Miguel F.", "" ], [ "Spradlin", "Marcus", "" ], [ "Volovich", "Anastasia", "" ] ]

We explore single and multi-loop conformal integrals, such as the ones appearing in dual conformal theories in flat space. Using Mellin amplitudes, a large class of higher loop integrals can be written as simple integro-differential operators on star integrals: one-loop $n$-gon integrals in $n$ dimensions. These are known to be given by volumes of hyperbolic simplices. We explicitly compute the five-dimensional pentagon integral in full generality using Schl\"afli's formula. Then, as a first step to understanding higher loops, we use spline technology to construct explicitly the $6d$ hexagon and $8d$ octagon integrals in two-dimensional kinematics. The fully massive hexagon and octagon integrals are then related to the double box and triple box integrals respectively. We comment on the classes of functions needed to express these integrals in general kinematics, involving elliptic functions and beyond.

9.888477

10.120625

11.253016

9.574386

9.472183

10.449973

9.013602

9.564894

9.195592

11.036097

9.123825

9.665415

9.897166

9.43584

9.641648

9.776778

9.58108

9.303398

9.665195

10.049152

9.167944

1707.09175

Stephen Stopyra

Arttu Rajantie and Stephen Stopyra

Standard Model vacuum decay in a de Sitter Background

20 pages, 11 figures

Phys. Rev. D 97, 025012 (2018)

10.1103/PhysRevD.97.025012

IMPERIAL-TP-2017-AR-2

hep-th gr-qc

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

We present a calculation of thick-wall Coleman-de-Luccia (CdL) bounces in the Standard Model effective potential in a de Sitter background. The calculation is performed including the effect of the bounce back-reaction on the metric, which we compare with the case of a fixed de-Sitter background, and with similar full-backreaction calculation in a model polynomial potential. The results show that the Standard Model potential exhibits non-trivial behavior: rather than a single CdL solution, there are multiple (non-oscillating) bounce solutions which may contribute to the decay rate. All the extra solutions found have higher actions than the largest amplitude solution, and thus would not contribute significantly to the decay rate, but their existence demonstrates that CdL solutions in the Standard Model potential are not unique, and the existence of additional, lower action, solutions cannot be ruled out. This suggests that a better understanding of the appearance and disappearance of CdL solutions in de Sitter space is needed to fully understand the vacuum instability issue in the Standard Model.

[ { "created": "Fri, 28 Jul 2017 10:17:46 GMT", "version": "v1" } ]

2018-01-24

[ [ "Rajantie", "Arttu", "" ], [ "Stopyra", "Stephen", "" ] ]

We present a calculation of thick-wall Coleman-de-Luccia (CdL) bounces in the Standard Model effective potential in a de Sitter background. The calculation is performed including the effect of the bounce back-reaction on the metric, which we compare with the case of a fixed de-Sitter background, and with similar full-backreaction calculation in a model polynomial potential. The results show that the Standard Model potential exhibits non-trivial behavior: rather than a single CdL solution, there are multiple (non-oscillating) bounce solutions which may contribute to the decay rate. All the extra solutions found have higher actions than the largest amplitude solution, and thus would not contribute significantly to the decay rate, but their existence demonstrates that CdL solutions in the Standard Model potential are not unique, and the existence of additional, lower action, solutions cannot be ruled out. This suggests that a better understanding of the appearance and disappearance of CdL solutions in de Sitter space is needed to fully understand the vacuum instability issue in the Standard Model.

8.733583

8.896015

8.325317

7.682751

8.118956

8.146194

8.904815

8.55087

8.069087

9.202751

7.96864

8.195709

8.032557

8.067551

8.151175

8.373502

8.245014

8.19267

8.220281

8.464732

7.967519

0704.3570

Matteo Beccaria

Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM

26 pages, JHEP style

JHEP 0706:044,2007

10.1088/1126-6708/2007/06/044

null

hep-th

null

We consider twist-3 operators in the sl(2) sector of N=4 SYM built out of three scalar fields with derivatives. We extract from the Bethe Ansatz equations of this sector the exact lowest anomalous dimension gamma(s) of scaling fields for several values of the operator spin s. We propose compact closed expressions for the spin dependence of gamma(s) up to the four loop level and show that they obey a simple new twist-3 transcendentality principle. As a check, we reproduce the four loop universal cusp anomalous dimension governing the logarithmic large spin limit of gamma(s).

[ { "created": "Thu, 26 Apr 2007 15:46:25 GMT", "version": "v1" } ]

2009-11-13

[ [ "Beccaria", "Matteo", "" ] ]

We consider twist-3 operators in the sl(2) sector of N=4 SYM built out of three scalar fields with derivatives. We extract from the Bethe Ansatz equations of this sector the exact lowest anomalous dimension gamma(s) of scaling fields for several values of the operator spin s. We propose compact closed expressions for the spin dependence of gamma(s) up to the four loop level and show that they obey a simple new twist-3 transcendentality principle. As a check, we reproduce the four loop universal cusp anomalous dimension governing the logarithmic large spin limit of gamma(s).

11.862465

9.788433

12.742256

10.087881

9.905294

10.102503

11.171214

9.926752

9.500437

14.831153

9.987837

10.244209

11.768382

10.85812

10.401023

10.36741

10.969192

10.361533

10.727846

11.214416

10.197135

1208.3199

Julian Sonner

Alexander Adam, Benedict Crampton, Julian Sonner and Benjamin Withers

Bosonic Fractionalisation Transitions

references added. minor changes. version published in JHEP

null

10.1007/JHEP01(2013)127

Imperial/TP/2012/JS/02

hep-th

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

At finite density, charge in holographic systems can be sourced either by explicit matter sources in the bulk or by bulk horizons. In this paper we find bosonic solutions of both types, breaking a global U(1) symmetry in the former case and leaving it unbroken in the latter. Using a minimal bottom-up model we exhibit phase transitions between the two cases, under the influence of a relevant operator in the dual field theory. We also embed solutions and transitions of this type in M-theory, where, holding the theory at constant chemical potential, the cohesive phase is connected to a neutral phase of Schr\"odinger type via a z=2 QCP.

[ { "created": "Wed, 15 Aug 2012 20:00:16 GMT", "version": "v1" }, { "created": "Mon, 18 Mar 2013 14:09:05 GMT", "version": "v2" } ]

2015-06-11

[ [ "Adam", "Alexander", "" ], [ "Crampton", "Benedict", "" ], [ "Sonner", "Julian", "" ], [ "Withers", "Benjamin", "" ] ]

At finite density, charge in holographic systems can be sourced either by explicit matter sources in the bulk or by bulk horizons. In this paper we find bosonic solutions of both types, breaking a global U(1) symmetry in the former case and leaving it unbroken in the latter. Using a minimal bottom-up model we exhibit phase transitions between the two cases, under the influence of a relevant operator in the dual field theory. We also embed solutions and transitions of this type in M-theory, where, holding the theory at constant chemical potential, the cohesive phase is connected to a neutral phase of Schr\"odinger type via a z=2 QCP.

17.032648

15.564954

17.491699

14.978188

15.897019

14.842823

15.797869

15.091492

14.537962

20.60693

14.530235

14.612829

17.78616

15.32609

14.685062

14.631681

14.883579

14.735997

15.080048

16.630636

14.911379

2307.01973

LiFang Li

Xiao-Xiong Zeng, Li-Fang Li, Peng Xu

Holographic Einstein rings of a black hole with a global monopole

revised version

null

hep-th gr-qc

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

The global monopole solutions which give rise to quite unusual physical phenomena have captured considerable attention. In this paper, we study the Einstein ring of the spherically symmetric AdS black hole solution with a global monopole based on the AdS/CFT correspondence. With the help of the given response function of the QFT on the boundary, we construct the holographic images of the black hole in the bulk. The Einstein rings on the images can be clearly observed. The holographic ring always appears with the concentric stripe surrounded when the observer located at the north pole, and an extremely bright ring when the observer is at the position of the photon sphere of the black hole. With the change of the observation position, this ring will change into a luminosity-deformed ring, or light points. Furthermore, we show that the monopole parameter has an effect on the brightness and the position of Einstein ring. All these results imply that the holographic images can be used as an effective tool to distinguish different types of black holes for fixed wave source and optical system.

[ { "created": "Wed, 5 Jul 2023 01:05:26 GMT", "version": "v1" }, { "created": "Thu, 17 Aug 2023 05:18:49 GMT", "version": "v2" } ]

2023-08-21

[ [ "Zeng", "Xiao-Xiong", "" ], [ "Li", "Li-Fang", "" ], [ "Xu", "Peng", "" ] ]

The global monopole solutions which give rise to quite unusual physical phenomena have captured considerable attention. In this paper, we study the Einstein ring of the spherically symmetric AdS black hole solution with a global monopole based on the AdS/CFT correspondence. With the help of the given response function of the QFT on the boundary, we construct the holographic images of the black hole in the bulk. The Einstein rings on the images can be clearly observed. The holographic ring always appears with the concentric stripe surrounded when the observer located at the north pole, and an extremely bright ring when the observer is at the position of the photon sphere of the black hole. With the change of the observation position, this ring will change into a luminosity-deformed ring, or light points. Furthermore, we show that the monopole parameter has an effect on the brightness and the position of Einstein ring. All these results imply that the holographic images can be used as an effective tool to distinguish different types of black holes for fixed wave source and optical system.

11.934351

12.394651

9.275476

8.920058

11.159595

11.521295

12.702467

9.252152

11.643076

10.604135

11.679684

11.685706

11.300866

11.203286

11.827641

12.165717

12.169495

10.96596

11.639493

11.644379

12.120109

1002.2981

Domenico Orlando

Amihay Hanany, Domenico Orlando, Susanne Reffert

Sublattice Counting and Orbifolds

24 pages, 7 figures

JHEP 1006:051,2010

10.1007/JHEP06(2010)051

Imperial/TP/10/AH/01, IPMU10-0025

hep-th

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

Abelian orbifolds of C^3 are known to be encoded by hexagonal brane tilings. To date it is not known how to count all such orbifolds. We fill this gap by employing number theoretic techniques from crystallography, and by making use of Polya's Enumeration Theorem. The results turn out to be beautifully encoded in terms of partition functions and Dirichlet Series. The same methods apply to counting orbifolds of any toric non-compact Calabi-Yau singularity. As additional examples, we count the orbifolds of the conifold, of the L^{aba} theories, and of C^4.

[ { "created": "Tue, 16 Feb 2010 00:47:55 GMT", "version": "v1" } ]

2014-11-20

[ [ "Hanany", "Amihay", "" ], [ "Orlando", "Domenico", "" ], [ "Reffert", "Susanne", "" ] ]

Abelian orbifolds of C^3 are known to be encoded by hexagonal brane tilings. To date it is not known how to count all such orbifolds. We fill this gap by employing number theoretic techniques from crystallography, and by making use of Polya's Enumeration Theorem. The results turn out to be beautifully encoded in terms of partition functions and Dirichlet Series. The same methods apply to counting orbifolds of any toric non-compact Calabi-Yau singularity. As additional examples, we count the orbifolds of the conifold, of the L^{aba} theories, and of C^4.

8.871181

8.478348

9.696147

7.680758

7.653256

8.170978

8.418721

7.190307

8.041784

10.809588

7.217166

7.668961

8.83936

7.900087

7.589526

7.728115

7.745529

7.654655

7.885458

8.645504

7.892214

hep-th/9602162

Ctirad Klimcik

C. Klimcik and P. Severa

Dressing Cosets

11 pages, LaTeX

Phys.Lett. B381 (1996) 56-61

10.1016/0370-2693(96)00669-7

CERN-TH/96-43

hep-th

null

The account of the Poisson-Lie T-duality is presented for the case when the action of the duality group on a target is not free. At the same time a generalization of the picture is given when the duality group does not even act on $\si$-model targets but only on their phase spaces. The outcome is a huge class of dualizable targets generically having no local isometries or Poisson-Lie symmetries whatsoever.

[ { "created": "Wed, 28 Feb 1996 16:05:14 GMT", "version": "v1" } ]

2009-10-30

[ [ "Klimcik", "C.", "" ], [ "Severa", "P.", "" ] ]

The account of the Poisson-Lie T-duality is presented for the case when the action of the duality group on a target is not free. At the same time a generalization of the picture is given when the duality group does not even act on $\si$-model targets but only on their phase spaces. The outcome is a huge class of dualizable targets generically having no local isometries or Poisson-Lie symmetries whatsoever.

11.112897

10.199905

12.120165

9.933418

10.491435

11.149199

10.272077

9.372724

10.054331

11.279302

9.550158

10.591402

10.998302

10.160553

9.867561

10.218385

10.29178

10.391671

10.324921

11.534948

9.731011

1104.5279

Lasha Berezhiani

Lasha Berezhiani and Mehrdad Mirbabayi

Generalized Framework for Auxiliary Extra Dimensions

12 pages

Phys.Lett.B701:654-659,2011

10.1016/j.physletb.2011.06.036

null

hep-th gr-qc

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

The theory of gravity with an auxiliary extra dimension is known to give the ghost-free cubic completion of the Fierz-Pauli mass term in the decoupling limit. Our work generalizes the boundary condition in the auxiliary dimension that avoids ghosts order-by-order, and to all orders, in the decoupling limit. Furthermore, we extend the formalism to the case of many auxiliary dimensions, and we show that the multi-dimensional extension with the rotationally invariant boundaries of the bulk, is equivalent to the model with a single auxiliary dimension. The above constructions require the appropriate adjustment of the boundary condition, which we discuss in detail. The other possible extension of the original model by the Gauss-Bonnet term is studied as well.

[ { "created": "Thu, 28 Apr 2011 02:37:20 GMT", "version": "v1" } ]

2011-07-20

[ [ "Berezhiani", "Lasha", "" ], [ "Mirbabayi", "Mehrdad", "" ] ]

The theory of gravity with an auxiliary extra dimension is known to give the ghost-free cubic completion of the Fierz-Pauli mass term in the decoupling limit. Our work generalizes the boundary condition in the auxiliary dimension that avoids ghosts order-by-order, and to all orders, in the decoupling limit. Furthermore, we extend the formalism to the case of many auxiliary dimensions, and we show that the multi-dimensional extension with the rotationally invariant boundaries of the bulk, is equivalent to the model with a single auxiliary dimension. The above constructions require the appropriate adjustment of the boundary condition, which we discuss in detail. The other possible extension of the original model by the Gauss-Bonnet term is studied as well.

11.645936

11.708843

11.644959

10.854831

11.425272

10.599355

11.583255

10.912806

10.776772

11.557442

11.083008

11.18924

11.573419

11.52478

11.201121

11.355842

11.20589

11.539446

11.540021

11.305058

10.639258

hep-th/0602209

Dimitri Polyakov

New Discrete States in Two-Dimensional Supergravity

22 pages; typos corrected, 2 references added

Int.J.Mod.Phys.A22:1375-1394,2007

10.1142/S0217751X07035148

null

hep-th gr-qc

null

Two-dimensional string theory is known to contain the set of discrete states that are the SU(2) multiplets generated by the lowering operator of the SU(2) current algebra.Their structure constants are defined by the area preserving diffeomorphisms in two dimensions. We show that the interaction of $d=2$ superstrings with the superconformal ghosts enlarges the algebra of dimension 1 currents and hence the new discrete states appear. These new states are the SU(N) multiplets, if the algebra includes the currents of ghost numbers from -N to N-2, not related by the picture-changing. We compute the structure constants of these new discrete states for N=3 and express them in terms of SU(3) Clebsch-Gordan coefficients,relating their operator algebra to the volume preserving diffeomorphisms in d=3. For general N, the algebra is conjectured to be isomorphic to SDiff(N). This points at possible holographic relations between 2d superstrings and field theories in higher dimensions.

[ { "created": "Tue, 21 Feb 2006 11:41:09 GMT", "version": "v1" }, { "created": "Wed, 22 Feb 2006 15:23:06 GMT", "version": "v2" }, { "created": "Thu, 23 Feb 2006 15:05:56 GMT", "version": "v3" }, { "created": "Mon, 27 Feb 2006 17:05:32 GMT", "version": "v4" } ]

2008-11-26

[ [ "Polyakov", "Dimitri", "" ] ]

Two-dimensional string theory is known to contain the set of discrete states that are the SU(2) multiplets generated by the lowering operator of the SU(2) current algebra.Their structure constants are defined by the area preserving diffeomorphisms in two dimensions. We show that the interaction of $d=2$ superstrings with the superconformal ghosts enlarges the algebra of dimension 1 currents and hence the new discrete states appear. These new states are the SU(N) multiplets, if the algebra includes the currents of ghost numbers from -N to N-2, not related by the picture-changing. We compute the structure constants of these new discrete states for N=3 and express them in terms of SU(3) Clebsch-Gordan coefficients,relating their operator algebra to the volume preserving diffeomorphisms in d=3. For general N, the algebra is conjectured to be isomorphic to SDiff(N). This points at possible holographic relations between 2d superstrings and field theories in higher dimensions.

9.816583

9.674641

10.644876

9.381136

10.932386

10.100938

9.61752

9.773769

9.644889

10.011654

8.90256

9.59097

9.890984

9.358778

9.61537

9.842667

9.410798

9.589809

9.476681

10.047043

9.607776

hep-th/0208128

B. Ram

On the quantum theory of pure gravitation

9 pages

null

hep-th

null

A quantum theory of the region of pure gravitation was given earlier in two papers [gr-qc/9908036 (Phys. Lett. A {\bf {265}}, 1 (2000)); gr-qc/0101056]. In this paper I provide further insight into the physics of this region.

[ { "created": "Mon, 19 Aug 2002 05:47:30 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ram", "B.", "" ] ]

A quantum theory of the region of pure gravitation was given earlier in two papers [gr-qc/9908036 (Phys. Lett. A {\bf {265}}, 1 (2000)); gr-qc/0101056]. In this paper I provide further insight into the physics of this region.

12.650857

16.459194

10.19947

11.161606

11.083143

12.736845

13.232078

13.121112

11.70589

12.345827

13.818134

12.043262

11.298077

11.630689

11.677017

11.58816

12.135004

11.043328

11.420665

11.109951

11.718793

hep-th/9312035

Harnad John

John Harnad and P. Winternitz

Classical and Quantum Integrable Systems in $\wt{\gr{gl}}(2)^{+*}$ and Separation of Variables

28 pages

Commun.Math.Phys. 172 (1995) 263-286

10.1007/BF02099428

CRM--1921 (1993)

hep-th nlin.SI solv-int

null

Classical integrable Hamiltonian systems generated by elements of the Poisson commuting ring of spectral invariants on rational coadjoint orbits of the loop algebra $\wt{\gr{gl}}^{+*}(2,{\bf R})$ are integrated by separation of variables in the Hamilton-Jacobi equation in hyperellipsoidal coordinates. The canonically quantized systems are then shown to also be completely integrable and separable within the same coordinates. Pairs of second class constraints defining reduced phase spaces are implemented in the quantized systems by choosing one constraint as an invariant, and interpreting the other as determining a quotient (i.e., by treating one as a first class constraint and the other as a gauge condition). Completely integrable, separable systems on spheres and ellipsoids result, but those on ellipsoids require a further modification of order $\OO(\hbar^2)$ in the commuting invariants in order to assure self-adjointness and to recover the Laplacian for the case of free motion. For each case - in the ambient space ${\bf R}^{n}$, the sphere and the ellipsoid - the Schr\"odinger equations are completely separated in hyperellipsoidal coordinates, giving equations of generalized Lam\'e type.

[ { "created": "Fri, 3 Dec 1993 23:23:26 GMT", "version": "v1" } ]

2009-10-22

[ [ "Harnad", "John", "" ], [ "Winternitz", "P.", "" ] ]

Classical integrable Hamiltonian systems generated by elements of the Poisson commuting ring of spectral invariants on rational coadjoint orbits of the loop algebra $\wt{\gr{gl}}^{+*}(2,{\bf R})$ are integrated by separation of variables in the Hamilton-Jacobi equation in hyperellipsoidal coordinates. The canonically quantized systems are then shown to also be completely integrable and separable within the same coordinates. Pairs of second class constraints defining reduced phase spaces are implemented in the quantized systems by choosing one constraint as an invariant, and interpreting the other as determining a quotient (i.e., by treating one as a first class constraint and the other as a gauge condition). Completely integrable, separable systems on spheres and ellipsoids result, but those on ellipsoids require a further modification of order $\OO(\hbar^2)$ in the commuting invariants in order to assure self-adjointness and to recover the Laplacian for the case of free motion. For each case - in the ambient space ${\bf R}^{n}$, the sphere and the ellipsoid - the Schr\"odinger equations are completely separated in hyperellipsoidal coordinates, giving equations of generalized Lam\'e type.

11.141663

12.164407

13.238064

10.656731

11.33985

12.062924

11.675332

11.177118

10.737281

15.066362

10.415289

10.69132

10.587999

10.318048

10.772859

10.710189

10.709099

10.56403

10.063686

10.708157

10.111054

hep-th/9309089

null

H. Arodz and A.L. Larsen

On dynamics of cylindrical and spherical relativistic domain walls of finite thickness

26 pages Latex + 4 figures (not included), Nordita 93/58 P

Phys.Rev. D49 (1994) 4154-4166

10.1103/PhysRevD.49.4154

null

hep-th

null

Dynamics of cylindrical and spherical relativistic domain walls is investigated with the help of a new method based on Taylor expansion of the scalar field in a vicinity of the core of the wall. Internal oscillatory modes for the domain walls are found. These modes are non-analytic in the "width" of the domain wall. Rather non-trivial transformation to a special coordinate system, widely used in investigations of relativistic domain walls, is studied in detail.

[ { "created": "Thu, 16 Sep 1993 09:47:12 GMT", "version": "v1" } ]

2009-10-22

[ [ "Arodz", "H.", "" ], [ "Larsen", "A. L.", "" ] ]

Dynamics of cylindrical and spherical relativistic domain walls is investigated with the help of a new method based on Taylor expansion of the scalar field in a vicinity of the core of the wall. Internal oscillatory modes for the domain walls are found. These modes are non-analytic in the "width" of the domain wall. Rather non-trivial transformation to a special coordinate system, widely used in investigations of relativistic domain walls, is studied in detail.

12.937186

11.511385

10.756336

9.862794

11.048427

11.329272

9.874747

10.220492

10.501528

10.275497

10.261764

10.222144

10.119957

9.819183

10.044579

10.176942

9.998814

10.117645

10.046047

9.778162

10.04783

hep-th/9304165

Sun Chang Pu

Chang-Pu Sun

High-Order Adiabatic Approximation for Non-Hermitian Quantum System and Complexization of Berry's Phase

ITP.SB-93-22,17 pages

null

10.1088/0031-8949/48/4/002

null

hep-th

null

In this paper the evolution of a quantum system drived by a non-Hermitian Hamiltonian depending on slowly-changing parameters is studied by building an universal high-order adiabatic approximation(HOAA) method with Berry's phase ,which is valid for either the Hermitian or the non-Hermitian cases. This method can be regarded as a non-trivial generalization of the HOAA method for closed quantum system presented by this author before. In a general situation, the probabilities of adiabatic decay and non-adiabatic transitions are explicitly obtained for the evolution of the non-Hermitian quantum system. It is also shown that the non-Hermitian analog of the Berry's phase factor for the non-Hermitian case just enjoys the holonomy structure of the dual linear bundle over the parameter manifold. The non-Hermitian evolution of the generalized forced harmonic oscillator is discussed as an illustrative examples.

[ { "created": "Sun, 2 May 1993 16:35:37 GMT", "version": "v1" } ]

2009-10-22

[ [ "Sun", "Chang-Pu", "" ] ]

In this paper the evolution of a quantum system drived by a non-Hermitian Hamiltonian depending on slowly-changing parameters is studied by building an universal high-order adiabatic approximation(HOAA) method with Berry's phase ,which is valid for either the Hermitian or the non-Hermitian cases. This method can be regarded as a non-trivial generalization of the HOAA method for closed quantum system presented by this author before. In a general situation, the probabilities of adiabatic decay and non-adiabatic transitions are explicitly obtained for the evolution of the non-Hermitian quantum system. It is also shown that the non-Hermitian analog of the Berry's phase factor for the non-Hermitian case just enjoys the holonomy structure of the dual linear bundle over the parameter manifold. The non-Hermitian evolution of the generalized forced harmonic oscillator is discussed as an illustrative examples.

8.531704

9.714234

9.357627

9.177825

9.660378

9.719869

9.336356

8.811442

8.619382

9.767198

8.600851

8.636205

8.534686

8.836631

8.383228

9.079474

8.780271

8.557804

8.628716

8.52321

8.57694

hep-th/9803141

Zurab Kakushadze

Zurab Kakushadze, Gary Shiu and S.-H. Henry Tye

Type IIB Orientifolds with NS-NS Antisymmetric Tensor Backgrounds

13 pages, revtex, minor misprints corrected

Phys.Rev. D58 (1998) 086001

10.1103/PhysRevD.58.086001

CLNS 98/1550, HUTP-97/A092, NUB 3173

hep-th

null

We consider six dimensional N=1 space-time supersymmetric Type IIB orientifolds with non-zero untwisted NS-NS sector B-field. The B-field is quantized due to the requirement that the Type IIB spectrum be left-right symmetric. The presence of the B-field results in rank reduction of both 99 and 55 open string sector gauge groups. We point out that in some of the models with non-zero B-field there are extra tensor multiplets in the Z_2 twisted closed string sector, and we explain their origin in a simple example. Also, the 59 open string sector states come with a multiplicity that depends on the B-field. These two facts are in accord with anomaly cancellation requirements. We point out relations between various orientifolds with and without the B-field, and also discuss the F-theory duals of these models.

[ { "created": "Tue, 17 Mar 1998 22:39:18 GMT", "version": "v1" }, { "created": "Fri, 8 May 1998 06:52:08 GMT", "version": "v2" }, { "created": "Mon, 9 Nov 1998 08:32:06 GMT", "version": "v3" } ]

2009-10-31

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

We consider six dimensional N=1 space-time supersymmetric Type IIB orientifolds with non-zero untwisted NS-NS sector B-field. The B-field is quantized due to the requirement that the Type IIB spectrum be left-right symmetric. The presence of the B-field results in rank reduction of both 99 and 55 open string sector gauge groups. We point out that in some of the models with non-zero B-field there are extra tensor multiplets in the Z_2 twisted closed string sector, and we explain their origin in a simple example. Also, the 59 open string sector states come with a multiplicity that depends on the B-field. These two facts are in accord with anomaly cancellation requirements. We point out relations between various orientifolds with and without the B-field, and also discuss the F-theory duals of these models.

7.976951

7.415341

9.802207

7.439291

8.130084

7.021262

7.410402

7.426382

7.594719

8.887062

6.575521

7.827319

7.990639

7.658126

7.783501

7.645414

7.51945

7.530687

7.619363

7.956128

7.599623

1304.0614

Sergio Cecotti

Sergio Cecotti and Michele Del Zotto

The BPS spectrum of the 4d N=2 SCFT's H_1, H_2, D_4, E_6, E_7, E_8

14 pages

null

10.1007/JHEP06(2013)075

null

hep-th

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

Extending results of arXiv:1112.3984, we show that all rank 1 N=2 SCFT's in the sequence H_1, H_2, D_4 E_6, E_7, E_8 have canonical finite BPS chambers containing precisely 2 h(F)=12(Delta-1) hypermultiplets. The BPS spectrum of the canonical BPS chambers saturates the conformal central charge c, and satisfies some intriguing numerology.

[ { "created": "Tue, 2 Apr 2013 12:27:03 GMT", "version": "v1" } ]

2015-06-15

[ [ "Cecotti", "Sergio", "" ], [ "Del Zotto", "Michele", "" ] ]

Extending results of arXiv:1112.3984, we show that all rank 1 N=2 SCFT's in the sequence H_1, H_2, D_4 E_6, E_7, E_8 have canonical finite BPS chambers containing precisely 2 h(F)=12(Delta-1) hypermultiplets. The BPS spectrum of the canonical BPS chambers saturates the conformal central charge c, and satisfies some intriguing numerology.

15.428318

12.290619

17.049353

13.348407

12.657256

13.731338

13.80186

12.753186

11.421674

19.151939

12.748876

13.210255

16.301893

13.279196

13.65012

13.922989

13.411075

13.382213

12.735498

15.718119

12.131188

1507.01246

Filip Blaschke

Dynamical Realization of the Brane world Scenario Using Topological Solitons

PhD. thesis, 146 pages, 10 figures

null

hep-th

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

In this thesis we discuss how the brane world scenario can be realized dynamically within the field theoretical framework using topological solitons. As a playground we consider a bosonic sector of a (4+1)-dimensional supersymmetric gauge theory, which naturally supports soliton of co-dimension one, a domain wall. We first discuss separate localization of matter fields and gauge fields on the world-volume of the domain wall and then we present two explicit five-dimensional models, where both matter fields and gauge fields are localized together with minimal interactions. We show that matter fields localize in the adjoint representation of the non-Abelian gauge group and we calculate the effective interaction Lagrangian of these matter fields up to the second order in derivatives. We discuss similarities of our models with effective models describing pions in QCD and with D-branes from string theory.

[ { "created": "Sun, 5 Jul 2015 17:30:28 GMT", "version": "v1" } ]

2015-07-07

[ [ "Blaschke", "Filip", "" ] ]

In this thesis we discuss how the brane world scenario can be realized dynamically within the field theoretical framework using topological solitons. As a playground we consider a bosonic sector of a (4+1)-dimensional supersymmetric gauge theory, which naturally supports soliton of co-dimension one, a domain wall. We first discuss separate localization of matter fields and gauge fields on the world-volume of the domain wall and then we present two explicit five-dimensional models, where both matter fields and gauge fields are localized together with minimal interactions. We show that matter fields localize in the adjoint representation of the non-Abelian gauge group and we calculate the effective interaction Lagrangian of these matter fields up to the second order in derivatives. We discuss similarities of our models with effective models describing pions in QCD and with D-branes from string theory.

8.708543

8.251527

9.061896

8.401162

8.541241

8.971845

8.78987

8.212152

8.161949

9.211567

8.249007

8.27389

8.300829

8.160565

8.18315

8.182568

8.160913

8.419708

8.216881

8.406464

7.957629

0811.2371

Alain Ulacia Rey

A. Ulacia Rey

Contributions of Riemann invariants to the Entropy of Extremal Black Holes

16 pages, revised version, comments and references added, accepted for publication in JHEP

JHEP 0908:107,2009

10.1088/1126-6708/2009/08/107

ICIMAF 2008, -485

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

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

We use the entropy function formalism introduced by A. Sen to obtain the entropy of $AdS_{2}\times S^{d-2}$ extremal and static black holes in four and five dimensions, with higher derivative terms of a general type. Starting from a generalized Einstein--Maxwell action with nonzero cosmological constant, we examine all possible scalar invariants that can be formed from the complete set of Riemann invariants (up to order 10 in derivatives). The resulting entropies show the deviation from the well known Bekenstein--Hawking area law $S=A/4G$ for Einstein's gravity up to second order derivatives.

[ { "created": "Fri, 14 Nov 2008 16:18:10 GMT", "version": "v1" }, { "created": "Thu, 20 Aug 2009 00:55:31 GMT", "version": "v2" } ]

2009-09-28

[ [ "Rey", "A. Ulacia", "" ] ]

We use the entropy function formalism introduced by A. Sen to obtain the entropy of $AdS_{2}\times S^{d-2}$ extremal and static black holes in four and five dimensions, with higher derivative terms of a general type. Starting from a generalized Einstein--Maxwell action with nonzero cosmological constant, we examine all possible scalar invariants that can be formed from the complete set of Riemann invariants (up to order 10 in derivatives). The resulting entropies show the deviation from the well known Bekenstein--Hawking area law $S=A/4G$ for Einstein's gravity up to second order derivatives.

8.563295

7.344893

8.653163

7.175128

7.521557

7.37745

7.724948

7.095858

7.58839

9.730095

7.352824

7.146503

7.868325

7.4764

7.557068

7.604233

7.391666

7.401098

7.395366

7.814201

7.371182

1612.04334

G\'abor S\'arosi

Vijay Balasubramanian, Ben Craps, Bart{\l}omiej Czech and G\'abor S\'arosi

Echoes of chaos from string theory black holes

26 pages, 9 figures, v3: discussion of dip time added

null

10.1007/JHEP03(2017)154

null

hep-th

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

The strongly coupled D1-D5 conformal field theory is a microscopic model of black holes which is expected to have chaotic dynamics. Here, we study the weak coupling limit of the theory where it is integrable rather than chaotic. In this limit, the operators creating microstates of the lowest mass black hole are known exactly. We consider the time-ordered two-point function of light probes in these microstates, normalized by the same two-point function in vacuum. These correlators display a universal early-time decay followed by late-time sporadic behavior. To find a prescription for temporal coarse-graining of these late fluctuations we appeal to random matrix theory, where we show that a progressive time-average smooths the spectral form factor (a proxy for the 2-point function) in a typical draw of a random matrix. This coarse-grained quantity reproduces the matrix ensemble average to a good approximation. Employing this coarse-graining in the D1-D5 system, we find that the early-time decay is followed by a dip, a ramp and a plateau, in remarkable qualitative agreement with recent studies of the Sachdev-Ye-Kitaev (SYK) model. We study the timescales involved, comment on similarities and differences between our integrable model and the chaotic SYK model, and suggest ways to extend our results away from the integrable limit.

[ { "created": "Tue, 13 Dec 2016 20:00:43 GMT", "version": "v1" }, { "created": "Sat, 24 Dec 2016 21:24:56 GMT", "version": "v2" }, { "created": "Mon, 3 Apr 2017 10:45:53 GMT", "version": "v3" } ]

2017-04-04

[ [ "Balasubramanian", "Vijay", "" ], [ "Craps", "Ben", "" ], [ "Czech", "Bartłomiej", "" ], [ "Sárosi", "Gábor", "" ] ]

The strongly coupled D1-D5 conformal field theory is a microscopic model of black holes which is expected to have chaotic dynamics. Here, we study the weak coupling limit of the theory where it is integrable rather than chaotic. In this limit, the operators creating microstates of the lowest mass black hole are known exactly. We consider the time-ordered two-point function of light probes in these microstates, normalized by the same two-point function in vacuum. These correlators display a universal early-time decay followed by late-time sporadic behavior. To find a prescription for temporal coarse-graining of these late fluctuations we appeal to random matrix theory, where we show that a progressive time-average smooths the spectral form factor (a proxy for the 2-point function) in a typical draw of a random matrix. This coarse-grained quantity reproduces the matrix ensemble average to a good approximation. Employing this coarse-graining in the D1-D5 system, we find that the early-time decay is followed by a dip, a ramp and a plateau, in remarkable qualitative agreement with recent studies of the Sachdev-Ye-Kitaev (SYK) model. We study the timescales involved, comment on similarities and differences between our integrable model and the chaotic SYK model, and suggest ways to extend our results away from the integrable limit.

9.222332

9.388737

10.317616

8.629104

9.537466

9.080995

9.483172

8.601042

8.788854

10.631586

8.647039

8.795501

9.297297

8.832758

9.210974

8.822455

8.872167

8.935205

8.943971

9.455101

8.841776

2405.19416

Stefanos Robert Kousvos

Stefanos R. Kousvos, Alessandro Piazza and Alessandro Vichi

Exploring Replica-Potts CFTs in Two Dimensions

47 pages, 19 figures

null

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

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

We initiate a numerical conformal bootstrap study of CFTs with $S_n \ltimes (S_Q)^n$ global symmetry. These include CFTs that can be obtained as coupled replicas of two-dimensional critical Potts models. Particular attention is paid to the special case $S_3 \ltimes (S_3)^3$, which governs the critical behaviour of three coupled critical 3-state Potts models, a multi-scalar realisation of a (potentially) non-integrable CFT in two dimensions. The model has been studied in earlier works using perturbation theory, transfer matrices, and Monte Carlo simulations. This work represents an independent non-perturbative analysis. Our results are in agreement with previous determinations: we obtain an allowed peninsula within parameter space for the scaling dimensions of the three lowest-lying operators in the theory, which contains the earlier predictions for these scaling dimensions. Additionally, we derive numerous bounds on admissible scaling dimensions in the theory, which are compatible with earlier results. Our work sets the necessary groundwork for a future precision study of these theories in the conformal bootstrap.

[ { "created": "Wed, 29 May 2024 18:00:24 GMT", "version": "v1" } ]

2024-05-31

[ [ "Kousvos", "Stefanos R.", "" ], [ "Piazza", "Alessandro", "" ], [ "Vichi", "Alessandro", "" ] ]

We initiate a numerical conformal bootstrap study of CFTs with $S_n \ltimes (S_Q)^n$ global symmetry. These include CFTs that can be obtained as coupled replicas of two-dimensional critical Potts models. Particular attention is paid to the special case $S_3 \ltimes (S_3)^3$, which governs the critical behaviour of three coupled critical 3-state Potts models, a multi-scalar realisation of a (potentially) non-integrable CFT in two dimensions. The model has been studied in earlier works using perturbation theory, transfer matrices, and Monte Carlo simulations. This work represents an independent non-perturbative analysis. Our results are in agreement with previous determinations: we obtain an allowed peninsula within parameter space for the scaling dimensions of the three lowest-lying operators in the theory, which contains the earlier predictions for these scaling dimensions. Additionally, we derive numerous bounds on admissible scaling dimensions in the theory, which are compatible with earlier results. Our work sets the necessary groundwork for a future precision study of these theories in the conformal bootstrap.

8.667029

9.291449

8.93082

8.721425

9.048199

8.617001

9.525506

9.07526

8.586494

10.099927

8.326851

8.562882

8.685428

8.308416

8.530798

8.30928

8.078321

8.214669

8.344372

8.920848

8.203926

0912.2954

Jonathan Shock

Jonathan P. Shock, Javier Tarrio

A note on the velocity of holographic long-lived mesons

4 pages, 2 figures

Phys.Lett.B688:244-247,2010

10.1016/j.physletb.2010.03.085

null

hep-th

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

We study fluctuations of a U(1) gauge field on the worldvolume of Nf probe D7-branes in the background of Nc black D3-branes with a finite baryon density. The choice of mode corresponds to vector mesons in the dual gauge theory whose mass and lifetime can be determined by a study of the quasinormal modes. The speed of propagation of these holographic mesons at large momenta is studied from the dispersion relations of the quasinormal modes of the system.

[ { "created": "Tue, 15 Dec 2009 17:03:24 GMT", "version": "v1" } ]

2010-05-07

[ [ "Shock", "Jonathan P.", "" ], [ "Tarrio", "Javier", "" ] ]

We study fluctuations of a U(1) gauge field on the worldvolume of Nf probe D7-branes in the background of Nc black D3-branes with a finite baryon density. The choice of mode corresponds to vector mesons in the dual gauge theory whose mass and lifetime can be determined by a study of the quasinormal modes. The speed of propagation of these holographic mesons at large momenta is studied from the dispersion relations of the quasinormal modes of the system.

9.434462

7.943497

10.163327

8.107466

7.652549

7.590301

6.637627

6.77751

8.194001

10.434614

7.396872

7.876801

8.901138

8.162521

7.762047

7.868556

7.776523

8.162031

8.25958

9.4299

7.867155

1505.04837

Hai Lin

Pablo Diaz, Hai Lin, Alvaro Veliz-Osorio

Graph duality as an instrument of Gauge-String correspondence

34 pages. version published in journal

Journal of Mathematical Physics 57 (2016) 052302

10.1063/1.4949550

null

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

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

We explore an identity between two branching graphs and propose a physical meaning in the context of the gauge-gravity correspondence. From the mathematical point of view, the identity equates probabilities associated with $\mathbb{GT}$, the branching graph of the unitary groups, with probabilities associated with $\mathbb{Y}$, the branching graph of the symmetric groups. In order to furnish the identity with physical meaning, we exactly reproduce these probabilities as the square of three point functions involving certain hook-shaped backgrounds. We study these backgrounds in the context of LLM geometries and discover that they are domain walls interpolating two AdS spaces with different radii. We also find that, in certain cases, the probabilities match the eigenvalues of some observables, the embedding chain charges. We finally discuss a holographic interpretation of the mathematical identity through our results.

[ { "created": "Mon, 18 May 2015 23:00:10 GMT", "version": "v1" }, { "created": "Sat, 21 May 2016 11:35:01 GMT", "version": "v2" } ]

2023-02-16

[ [ "Diaz", "Pablo", "" ], [ "Lin", "Hai", "" ], [ "Veliz-Osorio", "Alvaro", "" ] ]

We explore an identity between two branching graphs and propose a physical meaning in the context of the gauge-gravity correspondence. From the mathematical point of view, the identity equates probabilities associated with $\mathbb{GT}$, the branching graph of the unitary groups, with probabilities associated with $\mathbb{Y}$, the branching graph of the symmetric groups. In order to furnish the identity with physical meaning, we exactly reproduce these probabilities as the square of three point functions involving certain hook-shaped backgrounds. We study these backgrounds in the context of LLM geometries and discover that they are domain walls interpolating two AdS spaces with different radii. We also find that, in certain cases, the probabilities match the eigenvalues of some observables, the embedding chain charges. We finally discuss a holographic interpretation of the mathematical identity through our results.

13.073021

14.521893

15.29155

12.92197

13.404533

14.073201

13.879287

12.779371

13.51518

15.989616

12.432435

12.915834

14.703784

13.149854

12.959583

12.854106

12.793736

12.852046

13.536592

14.389492

12.642324

hep-th/9303108

null

A. Fring, G. Mussardo and P. Simonetti

Form Factors of the Elementary Field in the Bullough-Dodd Model

14 pages, LATEX file, ISAS/EP/92/208;USP-IFQSC/TH/92-51

Phys.Lett. B307 (1993) 83-90

10.1016/0370-2693(93)90196-O

null

hep-th

null

We derive the recursive equations for the form factors of the local hermitian operators in the Bullough-Dodd model. At the self-dual point of the theory, the form factors of the fundamental field of the Bullough-Dodd model are equal to those of the fundamental field of the Sinh-Gordon model at a specific value of the coupling constant.

[ { "created": "Fri, 19 Mar 1993 08:55:44 GMT", "version": "v1" } ]

2009-10-22

[ [ "Fring", "A.", "" ], [ "Mussardo", "G.", "" ], [ "Simonetti", "P.", "" ] ]

We derive the recursive equations for the form factors of the local hermitian operators in the Bullough-Dodd model. At the self-dual point of the theory, the form factors of the fundamental field of the Bullough-Dodd model are equal to those of the fundamental field of the Sinh-Gordon model at a specific value of the coupling constant.

5.896762

5.334849

7.374656

5.073349

5.189117

4.880344

4.822003

4.852238

4.894819

7.358239

4.670488

5.171153

6.333863

5.099832

5.017598

5.134252

5.14108

4.958524

5.052745

6.37359

5.048877

1205.3791

Andrzej G\"orlich

Jan Ambjorn, Jakub Gizbert-Studnicki, Andrzej G\"orlich, Jerzy Jurkiewicz

The transfer matrix in four-dimensional CDT

32 pages, 19 figures

JHEP 1209 (2012) 017

10.1007/JHEP09(2012)017

null

hep-th gr-qc hep-lat

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

The Causal Dynamical Triangulation model of quantum gravity (CDT) has a transfer matrix, relating spatial geometries at adjacent (discrete lattice) times. The transfer matrix uniquely determines the theory. We show that the measurements of the scale factor of the (CDT) universe are well described by an effective transfer matrix where the matrix elements are labeled only by the scale factor. Using computer simulations we determine the effective transfer matrix elements and show how they relate to an effective minisuperspace action at all scales.

[ { "created": "Wed, 16 May 2012 20:00:57 GMT", "version": "v1" } ]

2016-02-10

[ [ "Ambjorn", "Jan", "" ], [ "Gizbert-Studnicki", "Jakub", "" ], [ "Görlich", "Andrzej", "" ], [ "Jurkiewicz", "Jerzy", "" ] ]

The Causal Dynamical Triangulation model of quantum gravity (CDT) has a transfer matrix, relating spatial geometries at adjacent (discrete lattice) times. The transfer matrix uniquely determines the theory. We show that the measurements of the scale factor of the (CDT) universe are well described by an effective transfer matrix where the matrix elements are labeled only by the scale factor. Using computer simulations we determine the effective transfer matrix elements and show how they relate to an effective minisuperspace action at all scales.

10.706573

7.39008

11.080948

8.456234

8.352308

7.92021

7.836907

8.343741

8.251629

12.425924

8.920838

9.290835

10.449819

9.647514

9.635553

9.768313

9.745093

9.810062

9.520101

10.168747

9.709404

hep-th/9411019

Vipul Periwal

Free energy decreases along Wilson renormalization group trajectories

7 pages, TeX

Mod. Phys. Lett. A10 (1995) 1543

10.1142/S0217732395001666

PUPT-1481

hep-th

null

The free energy is shown to decrease along Wilson renormalization group trajectories, in a dimension-independent fashion, for $d>2.$ The argument assumes the monotonicity of the cutoff function, and positivity of a spectral representation of the two point function. The argument is valid to all orders in perturbation theory.

[ { "created": "Wed, 2 Nov 1994 23:06:20 GMT", "version": "v1" } ]

2015-06-26

[ [ "Periwal", "Vipul", "" ] ]

The free energy is shown to decrease along Wilson renormalization group trajectories, in a dimension-independent fashion, for $d>2.$ The argument assumes the monotonicity of the cutoff function, and positivity of a spectral representation of the two point function. The argument is valid to all orders in perturbation theory.

15.012602

8.908021

12.788114

9.895578

9.546108

8.970034

9.430617

9.039528

9.700666

13.701519

9.697024

10.70405

11.902586

10.726685

10.665176

10.213735

10.334777

10.492514

10.815351

12.176949

10.150583

2009.07674

Jean-Fran\c{c}ois Fortin

Jean-Fran\c{c}ois Fortin, Wen-Jie Ma, Witold Skiba

All Global One- and Two-Dimensional Higher-Point Conformal Blocks

1+20 pages + appendixes, 10 figures

null

hep-th

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

We introduce a full set of rules to directly express all $M$-point conformal blocks in one- and two-dimensional conformal field theories, irrespective of the topology. The $M$-point conformal blocks are power series expansion in some carefully-chosen conformal cross-ratios. We then prove the rules for any topology constructively with the help of the known position space operator product expansion. To this end, we first compute the action of the position space operator product expansion on the most general function of position space coordinates relevant to conformal field theory. These results provide the complete knowledge of all $M$-point conformal blocks with arbitrary external and internal quasi-primary operators (including arbitrary spins in two dimensions) in any topology.

[ { "created": "Wed, 16 Sep 2020 13:33:57 GMT", "version": "v1" } ]

2020-09-17

[ [ "Fortin", "Jean-François", "" ], [ "Ma", "Wen-Jie", "" ], [ "Skiba", "Witold", "" ] ]

We introduce a full set of rules to directly express all $M$-point conformal blocks in one- and two-dimensional conformal field theories, irrespective of the topology. The $M$-point conformal blocks are power series expansion in some carefully-chosen conformal cross-ratios. We then prove the rules for any topology constructively with the help of the known position space operator product expansion. To this end, we first compute the action of the position space operator product expansion on the most general function of position space coordinates relevant to conformal field theory. These results provide the complete knowledge of all $M$-point conformal blocks with arbitrary external and internal quasi-primary operators (including arbitrary spins in two dimensions) in any topology.

10.912436

10.034038

11.11353

9.705612

10.020246

10.027769

10.735614

10.028965

10.031425

11.755724

9.804851

10.564484

10.763142

10.280774

10.134254

10.104013

10.226068

10.604897

10.221776

10.659868

10.068265

hep-th/0111227

Dimitri Polyakov

BRST Properties of New Superstring States

25 pages, harvmac.tex

Phys.Rev. D65 (2002) 084041

10.1103/PhysRevD.65.084041

HIP-2001-61/TH

hep-th

null

Brane-like states are defined by physical vertex operators in NSR superstring theory, existing at nonzero pictures only. These states exist both in open and closed string theories, in the NS and NS-NS sectors respectively. In this paper we present a detailed analysis of their BRST properties, giving a proof that these vertex operators are physical, i.e. BRST invariant and BRST non-trivial.

[ { "created": "Mon, 26 Nov 2001 14:31:26 GMT", "version": "v1" } ]

2009-11-07

[ [ "Polyakov", "Dimitri", "" ] ]

Brane-like states are defined by physical vertex operators in NSR superstring theory, existing at nonzero pictures only. These states exist both in open and closed string theories, in the NS and NS-NS sectors respectively. In this paper we present a detailed analysis of their BRST properties, giving a proof that these vertex operators are physical, i.e. BRST invariant and BRST non-trivial.

13.924695

11.858802

14.393242

11.716179

12.028943

11.864704

14.211843

11.490743

11.292863

15.109763

11.54647

11.676165

13.057481

12.285111

12.513959

11.640551

12.01487

11.796828

12.272725

12.787988

11.987424

hep-th/0305044

Eric A. Nicholson

Eric Nicholson

Perturbative Wilsonian Formalism for Noncommutative Gauge Theories in the Matrix Representation

PhD thesis, Latex, 84 pages, 13 figures

null

hep-th

null

We study the perturbative approach to the Wilsonian integration of noncommutative gauge theories in the matrix representation. We begin by motivating the study of noncommutative gauge theories and reviewing the matrix formulation. We then systematically develop the perturbative treatment of UV states and calculate both the leading and next to leading order one- and two-loop corrections to the quantum effective action. Throughout, we discuss how our formalism clarifies problems associated with UV-IR mixing, a particular emphasis being placed on the dipole structure imposed by noncommutative gauge invariance. Ultimately, using the structural understanding developed in this work, we are able to determine the exact form of perturbative corrections in the UV regime defined by $\theta\Lambda^2\gg 1$. Finally, we apply our results to the analysis of the divergence structure and show that 3+1 and higher dimensional noncommutative theories that allow renormalization beyond one-loop are not self-consistent.

[ { "created": "Wed, 7 May 2003 03:05:32 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nicholson", "Eric", "" ] ]

We study the perturbative approach to the Wilsonian integration of noncommutative gauge theories in the matrix representation. We begin by motivating the study of noncommutative gauge theories and reviewing the matrix formulation. We then systematically develop the perturbative treatment of UV states and calculate both the leading and next to leading order one- and two-loop corrections to the quantum effective action. Throughout, we discuss how our formalism clarifies problems associated with UV-IR mixing, a particular emphasis being placed on the dipole structure imposed by noncommutative gauge invariance. Ultimately, using the structural understanding developed in this work, we are able to determine the exact form of perturbative corrections in the UV regime defined by $\theta\Lambda^2\gg 1$. Finally, we apply our results to the analysis of the divergence structure and show that 3+1 and higher dimensional noncommutative theories that allow renormalization beyond one-loop are not self-consistent.

9.084717

9.055492

9.673342

8.895249

9.596478

8.765488

9.547264

9.283376

8.711805

9.877928

9.00007

9.033937

9.054775

8.944217

9.085841

9.141943

8.916944

8.842149

8.980221

9.224857

8.935284

hep-th/0304152

S. Kalyana Rama

Asymptotic Density of Open p-brane States with Zero-modes included

9 pages, Latex. V 2: Results are for open p-branes only; Title modified; a few references and an acknowledgement added

Phys.Lett. B566 (2003) 152-156

10.1016/S0370-2693(03)00799-8

IMSc/2003/04/05

hep-th gr-qc

null

We obtain the asymptotic density of open p-brane states with zero-modes included. The resulting logarithmic correction to the p-brane entropy has a coefficient - \frac{p + 2}{2 p}, and is independent of the dimension of the embedding spacetime. Such logarithmic corrections to the entropy, with precisely this coefficient, appear in two other contexts also: a gas of massless particles in p-dimensional space, and a Schwarzschild black hole in (p + 2)-dimensional anti de Sitter spacetime.

[ { "created": "Thu, 17 Apr 2003 10:46:30 GMT", "version": "v1" }, { "created": "Tue, 29 Apr 2003 11:38:18 GMT", "version": "v2" } ]

2009-11-10

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

We obtain the asymptotic density of open p-brane states with zero-modes included. The resulting logarithmic correction to the p-brane entropy has a coefficient - \frac{p + 2}{2 p}, and is independent of the dimension of the embedding spacetime. Such logarithmic corrections to the entropy, with precisely this coefficient, appear in two other contexts also: a gas of massless particles in p-dimensional space, and a Schwarzschild black hole in (p + 2)-dimensional anti de Sitter spacetime.

9.564774

7.820601

8.426163

7.487328

7.796247

8.184109

7.36666

7.11307

7.950494

9.217624

7.831892

7.960076

7.75214

8.065316

8.210804

7.899121

7.749829

7.90889

7.623993

8.382473

8.02493

0705.0143

J. Antonio Garcia Zenteno

J. Antonio Garcia

DSR and Canonical Transformations: A Comment on a ``A Lagrangian for DSR particle and the role of noncommutativity''

3 pages. Accepted in PRD. v2 Fixed typos, reference added, version for PRD

Phys.Rev.D76:048501,2007

10.1103/PhysRevD.76.048501

null

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

null

The aim of this comment is to call to the attention of DSR readers a basic fact. The introduction of noncommutative structures in problems like the one addressed in [1] is not necessary for the understanding of DSR physics. It can be described just as the relativistic free particle problem in a different parametrization.

[ { "created": "Tue, 1 May 2007 17:17:27 GMT", "version": "v1" }, { "created": "Sat, 18 Aug 2007 02:26:46 GMT", "version": "v2" } ]

2008-11-26

[ [ "Garcia", "J. Antonio", "" ] ]

The aim of this comment is to call to the attention of DSR readers a basic fact. The introduction of noncommutative structures in problems like the one addressed in [1] is not necessary for the understanding of DSR physics. It can be described just as the relativistic free particle problem in a different parametrization.

18.292507

15.426126

17.16025

15.31447

14.732554

13.83823

15.069962

15.774639

15.673158

17.0576

15.540627

14.492382

15.707561

15.386169

14.892531

14.812799

14.692069

14.250914

15.731957

15.803389

15.355953

1711.02108

Anton De La Fuente

Gabriel Cuomo, Anton de la Fuente, Alexander Monin, David Pirtskhalava, and Riccardo Rattazzi

Rotating superfluids and spinning charged operators in conformal field theory

7 pages

Phys. Rev. D 97, 045012 (2018)

10.1103/PhysRevD.97.045012

null

hep-th cond-mat.str-el

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

We calculate the scaling dimensions of operators with large global charge and spin in 2+1 dimensional conformal field theories. By the state-operator correspondence, these operators correspond to superfluids with vortices and can be systematically studied using effective field theory. As the spin increases from zero to the unitarity bound, the superfluid state corresponding to the lowest dimension operator passes through three distinct regimes: (1) a single phonon, (2) two vortices, and (3) multiple vortices. We also calculate correlation functions with two such operators and the Noether current.

[ { "created": "Mon, 6 Nov 2017 19:00:15 GMT", "version": "v1" } ]

2018-02-19

[ [ "Cuomo", "Gabriel", "" ], [ "de la Fuente", "Anton", "" ], [ "Monin", "Alexander", "" ], [ "Pirtskhalava", "David", "" ], [ "Rattazzi", "Riccardo", "" ] ]

We calculate the scaling dimensions of operators with large global charge and spin in 2+1 dimensional conformal field theories. By the state-operator correspondence, these operators correspond to superfluids with vortices and can be systematically studied using effective field theory. As the spin increases from zero to the unitarity bound, the superfluid state corresponding to the lowest dimension operator passes through three distinct regimes: (1) a single phonon, (2) two vortices, and (3) multiple vortices. We also calculate correlation functions with two such operators and the Noether current.

7.887056

7.023906

9.205195

6.960181

7.746536

7.203831

6.851621

6.737387

7.112485

8.920758

7.035455

7.38027

7.980958

7.460218

7.350671

7.51962

7.295739

7.546079

7.481432

8.035941

7.24463

hep-th/0003199

Constantin Bizdadea

C. Bizdadea

Consistent interactions in the Hamiltonian BRST formalism

Latex 2.09, 13 pages, submitted to Phys. Lett. B

Acta Phys.Polon. B32 (2001) 2843-2862

null

hep-th

null

A Hamiltonian BRST deformation procedure for obtaining consistent interactions among fields with gauge freedom is proposed. The general theory is exemplified on the three-dimensional Chern-Simons model.

[ { "created": "Wed, 22 Mar 2000 14:51:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bizdadea", "C.", "" ] ]

A Hamiltonian BRST deformation procedure for obtaining consistent interactions among fields with gauge freedom is proposed. The general theory is exemplified on the three-dimensional Chern-Simons model.

16.475878

11.408782

15.503466

10.897128

10.644006

10.748883

11.033148

10.985678

10.620241

15.815778

12.163939

12.170595

15.020113

11.919676

12.629169

12.341012

12.176347

12.300155

11.959574

14.547078

12.239714

2207.08835

Amitabha Lahiri

Shantonu Mukherjee and Amitabha Lahiri

Spin-flux attachment by dimensional reduction of vortices

null

10.1016/j.nuclphysb.2022.116050

null

hep-th cond-mat.str-el

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

The description of a system of vortices in terms of dual fields provides a window to new phases of the system. It was found recently that dualizing a 3+1-d boson-fermion system leads to a system of fermions and vortices interacting via a 2-form field through a non-local term. Here we explore some consequences of such an interaction when the degrees of freedom of the system are confined to a 2+1-d space-time. In particular, we show that the vortices in the 2+1-d system are attached to the fermions via their non-zero spin magnetic moment in a way similar to the phenomenon of flux attachment in Chern-Simons gauge theory coupled to matter. We also show that such flux attached particles exhibit fractional statistical behaviour like anyons. Thus our model provides a realization of anyons without Chern-Simons theory.

[ { "created": "Mon, 18 Jul 2022 18:00:03 GMT", "version": "v1" } ]

2023-01-04

[ [ "Mukherjee", "Shantonu", "" ], [ "Lahiri", "Amitabha", "" ] ]

The description of a system of vortices in terms of dual fields provides a window to new phases of the system. It was found recently that dualizing a 3+1-d boson-fermion system leads to a system of fermions and vortices interacting via a 2-form field through a non-local term. Here we explore some consequences of such an interaction when the degrees of freedom of the system are confined to a 2+1-d space-time. In particular, we show that the vortices in the 2+1-d system are attached to the fermions via their non-zero spin magnetic moment in a way similar to the phenomenon of flux attachment in Chern-Simons gauge theory coupled to matter. We also show that such flux attached particles exhibit fractional statistical behaviour like anyons. Thus our model provides a realization of anyons without Chern-Simons theory.

8.254154

7.666758

7.901378

7.118486

7.665212

7.403354

7.117255

7.018708

7.062311

8.504273

7.234442

7.122018

7.31931

7.020881

7.060784

6.950263

6.911817

7.127835

7.016466

7.513773

6.93654

2306.00941

Shunyu Yao

Andreas Blommaert, Thomas G. Mertens, Shunyu Yao

Dynamical actions and q-representation theory for double-scaled SYK

51 pages, v2: matches published version

JHEP02(2024)067

10.1007/JHEP02(2024)067

null

hep-th math-ph math.MP math.QA math.RT

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

We show that DSSYK amplitudes are reproduced by considering the quantum mechanics of a constrained particle on the quantum group SU$_q(1,1)$. We construct its left-and right-regular representations, and show that the representation matrices reproduce two-sided wavefunctions and correlation functions of DSSYK. We then construct a dynamical action and path integral for a particle on SU$_q(1,1)$, whose quantization reproduces the aforementioned representation theory. By imposing boundary conditions or constraining the system we find the $q$-analog of the Schwarzian and Liouville boundary path integral descriptions. This lays the technical groundwork for identifying the gravitational bulk description of DSSYK. We find evidence the theory in question is a sine dilaton gravity, which interestingly is capable of describing both AdS and dS quantum gravity.

[ { "created": "Thu, 1 Jun 2023 17:41:54 GMT", "version": "v1" }, { "created": "Mon, 26 Feb 2024 00:36:09 GMT", "version": "v2" } ]

2024-02-27

[ [ "Blommaert", "Andreas", "" ], [ "Mertens", "Thomas G.", "" ], [ "Yao", "Shunyu", "" ] ]

We show that DSSYK amplitudes are reproduced by considering the quantum mechanics of a constrained particle on the quantum group SU$_q(1,1)$. We construct its left-and right-regular representations, and show that the representation matrices reproduce two-sided wavefunctions and correlation functions of DSSYK. We then construct a dynamical action and path integral for a particle on SU$_q(1,1)$, whose quantization reproduces the aforementioned representation theory. By imposing boundary conditions or constraining the system we find the $q$-analog of the Schwarzian and Liouville boundary path integral descriptions. This lays the technical groundwork for identifying the gravitational bulk description of DSSYK. We find evidence the theory in question is a sine dilaton gravity, which interestingly is capable of describing both AdS and dS quantum gravity.

14.202435

13.414953

15.959079

13.54691

13.756188

13.870187

13.266241

14.214839

13.806604

16.945795

13.335845

13.896001

14.866116

14.017389

13.904655

14.208459

14.433228

13.880369

14.233471

14.524263

13.256926

1006.2623

Dmitri Fursaev

Dmitri V. Fursaev

`Thermodynamics' of Minimal Surfaces and Entropic Origin of Gravity

12 pages, 1 figure

Phys.Rev.D82:064013,2010

10.1103/PhysRevD.82.064013

null

hep-th gr-qc

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

Deformations of minimal surfaces lying in constant time slices in static space-times are studied. An exact and universal formula for a change of the area of a minimal surface under shifts of nearby point-like particles is found. It allows one to introduce a local temperature on the surface and represent variations of its area in a thermodynamical form by assuming that the entropy in the Planck units equals the quarter of the area. These results provide a strong support to a recent hypothesis that gravity has an entropic origin, the minimal surfaces being a sort of holographic screens. The gravitational entropy also acquires a definite physical meaning related to quantum entanglement of fundamental degrees of freedom across the screen.

[ { "created": "Mon, 14 Jun 2010 07:39:08 GMT", "version": "v1" } ]

2014-11-21

[ [ "Fursaev", "Dmitri V.", "" ] ]

Deformations of minimal surfaces lying in constant time slices in static space-times are studied. An exact and universal formula for a change of the area of a minimal surface under shifts of nearby point-like particles is found. It allows one to introduce a local temperature on the surface and represent variations of its area in a thermodynamical form by assuming that the entropy in the Planck units equals the quarter of the area. These results provide a strong support to a recent hypothesis that gravity has an entropic origin, the minimal surfaces being a sort of holographic screens. The gravitational entropy also acquires a definite physical meaning related to quantum entanglement of fundamental degrees of freedom across the screen.

13.812981

12.541794

14.744481

11.107306

12.662137

12.592514

12.661636

11.774501

12.074998

13.64035

12.524418

11.600649

11.862798

11.494552

11.471688

11.378942

11.885557

11.300033

11.714924

11.744241

12.289474

hep-th/0106218

Tetsuyuki Muramatsu

Y. Kazama and T. Muramatsu

Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory II

21 pages; v2: References and a footnote added

Class.Quant.Grav. 18 (2001) 5545-5560

10.1088/0264-9381/18/24/315

UT-Komaba 01-02

hep-th

null

In a previous work, we computed the fully off-shell effective action $\Gamma$ and the corresponding quantum-corrected supersymmetry (SUSY) transformation operator $\delta_\epsilon$ for the so-called source-probe configuration in Matrix theory at one loop at order 4 in the derivative expansion, and showed that they satisfy the SUSY Ward identity $\delta_\epsilon \Gamma=0$. In this article, starting from the most general form of $\Gamma$, we demonstrate that, conversely, given such $\delta_\epsilon$ the SUSY Ward identity determines $\Gamma$ uniquely to the order specified above. Our demonstration does not require the explicit knowledge of the quantum-corrected supersymmetry transformation and hence strongly suggests that the uniqueness property would persist to all orders in perturbation theory.

[ { "created": "Mon, 25 Jun 2001 07:17:47 GMT", "version": "v1" }, { "created": "Tue, 30 Oct 2001 13:22:03 GMT", "version": "v2" } ]

2009-11-07

[ [ "Kazama", "Y.", "" ], [ "Muramatsu", "T.", "" ] ]

In a previous work, we computed the fully off-shell effective action $\Gamma$ and the corresponding quantum-corrected supersymmetry (SUSY) transformation operator $\delta_\epsilon$ for the so-called source-probe configuration in Matrix theory at one loop at order 4 in the derivative expansion, and showed that they satisfy the SUSY Ward identity $\delta_\epsilon \Gamma=0$. In this article, starting from the most general form of $\Gamma$, we demonstrate that, conversely, given such $\delta_\epsilon$ the SUSY Ward identity determines $\Gamma$ uniquely to the order specified above. Our demonstration does not require the explicit knowledge of the quantum-corrected supersymmetry transformation and hence strongly suggests that the uniqueness property would persist to all orders in perturbation theory.

8.618604

7.41921

9.212742

7.37109

8.276784

7.687819

7.836661

7.871023

7.967597

8.885242

7.472324

7.904296

8.148339

7.712263

8.186365

7.532605

7.858524

7.833379

7.66568

8.473842

7.660994

1510.07077

Yisong Yang Professor

Xiaosen Han and Yisong Yang

Magnetic Impurity Inspired Abelian Higgs Vortices

19 pages

Journal of High Energy Physics 2 (2016) 046

10.1007/JHEP02(2016)046

null

hep-th math-ph math.MP

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

Inspired by magnetic impurity considerations some broad classes of Abelian Higgs and Chern--Simons--Higgs BPS vortex equations are derived and analyzed.

[ { "created": "Fri, 23 Oct 2015 22:15:43 GMT", "version": "v1" } ]

2017-09-14

[ [ "Han", "Xiaosen", "" ], [ "Yang", "Yisong", "" ] ]

Inspired by magnetic impurity considerations some broad classes of Abelian Higgs and Chern--Simons--Higgs BPS vortex equations are derived and analyzed.

39.133518

23.886082

39.629395

26.889038

27.093594

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36.405621

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36.661964

30.964756

29.983833

29.379486

29.880451

30.15266

30.87521

35.526386

29.538408

1208.5082

Taeyoon Moon

Taeyoon Moon and Yun Soo Myung

Rank-3 finite temperature logarithmic conformal field theory

19 pages, no figure

null

10.1103/PhysRevD.86.084058

null

hep-th gr-qc

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

We construct a rank-3 finite temperature logarithmic conformal field theory (LCFT) starting from a higher-derivative scalar field model in the BTZ black hole background. Its zero temperature limit reduces to a rank-3 LCFT in the AdS$_3$ background. For a tricritical generalized massive gravity, we read off the log-square quasinormal frequencies of graviton from the poles of the retarded Green's function in the momentum space. After using the truncation process, we find quasinormal frequencies from a unitary conformal field theory. Finally, employing the retarded Green's functions on the boundary, we compute the absorption cross sections of BTZ black hole which show feature of higher-order differential equations for scalars.

[ { "created": "Sat, 25 Aug 2012 00:17:21 GMT", "version": "v1" } ]

2013-05-30

[ [ "Moon", "Taeyoon", "" ], [ "Myung", "Yun Soo", "" ] ]

We construct a rank-3 finite temperature logarithmic conformal field theory (LCFT) starting from a higher-derivative scalar field model in the BTZ black hole background. Its zero temperature limit reduces to a rank-3 LCFT in the AdS$_3$ background. For a tricritical generalized massive gravity, we read off the log-square quasinormal frequencies of graviton from the poles of the retarded Green's function in the momentum space. After using the truncation process, we find quasinormal frequencies from a unitary conformal field theory. Finally, employing the retarded Green's functions on the boundary, we compute the absorption cross sections of BTZ black hole which show feature of higher-order differential equations for scalars.

12.389629

11.173699

13.8817

10.661399

11.66239

11.695177

10.631076

10.558915

9.886829

12.321053

10.682069

10.737434

11.354811

11.018508

11.256494

11.274433

11.203315

11.056041

10.860854

12.086018

11.268427

hep-th/0403215

J. M. Speight

N.M. Romao and J.M. Speight

Slow Schroedinger dynamics of gauged vortices

22 pages, 2 figures

Nonlinearity.17:1337-1355,2004

10.1088/0951-7715/17/4/010

Max-Planck-Institut fuer Mathematik Preprint 2004 (02)

hep-th

null

Multivortex dynamics in Manton's Schroedinger--Chern--Simons variant of the Landau-Ginzburg model of thin superconductors is studied within a moduli space approximation. It is shown that the reduced flow on M_N, the N vortex moduli space, is hamiltonian with respect to \omega_{L^2}, the L^2 Kaehler form on \M_N. A purely hamiltonian discussion of the conserved momenta associated with the euclidean symmetry of the model is given, and it is shown that the euclidean action on (M_N,\omega_{L^2}) is not hamiltonian. It is argued that the N=3 flow is integrable in the sense of Liouville. Asymptotic formulae for \omega_{L^2} and the reduced Hamiltonian for large intervortex separation are conjectured. Using these, a qualitative analysis of internal 3-vortex dynamics is given and a spectral stability analysis of certain rotating vortex polygons is performed. Comparison is made with the dynamics of classical fluid point vortices and geostrophic vortices.

[ { "created": "Mon, 22 Mar 2004 13:55:21 GMT", "version": "v1" } ]

2008-11-26

[ [ "Romao", "N. M.", "" ], [ "Speight", "J. M.", "" ] ]

Multivortex dynamics in Manton's Schroedinger--Chern--Simons variant of the Landau-Ginzburg model of thin superconductors is studied within a moduli space approximation. It is shown that the reduced flow on M_N, the N vortex moduli space, is hamiltonian with respect to \omega_{L^2}, the L^2 Kaehler form on \M_N. A purely hamiltonian discussion of the conserved momenta associated with the euclidean symmetry of the model is given, and it is shown that the euclidean action on (M_N,\omega_{L^2}) is not hamiltonian. It is argued that the N=3 flow is integrable in the sense of Liouville. Asymptotic formulae for \omega_{L^2} and the reduced Hamiltonian for large intervortex separation are conjectured. Using these, a qualitative analysis of internal 3-vortex dynamics is given and a spectral stability analysis of certain rotating vortex polygons is performed. Comparison is made with the dynamics of classical fluid point vortices and geostrophic vortices.

9.42712

9.500824

11.345891

9.185309

10.485504

9.853249

9.598317

9.559603

9.04136

11.396049

9.134122

9.095973

9.48867

9.257454

9.329218

8.964122

8.745606

9.252886

9.095251

9.081358

9.118675

1012.3958

Om Prakash Singh Negi

O. P. S. Negi and H. Dehnen

Gauge Formulation for Two Potential Theory of Dyons

Key words- Dual electrodynamics, duality, gauge invariance, monopoles and dyons; PACS No.- 14.80 Hv

null

10.1007/s10773-011-0733-y

null

hep-th

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

Dual electrodynamics and corresponding Maxwell's equations (in the presence of monopole only) are revisited from the symmetry of duality and gauge invariance. Accordingly, the manifestly covariant, dual symmetric and gauge invariant two potential theory of generalized electromagnetic fields of dyons has been developed consistently from U(1)\times U(1) gauge symmetry. Corresponding field equations and equation of motion are derived from Lagrangian formulation adopted for U(1)\times U(1) gauge symmetry for the justification of two four potentials of dyons.

[ { "created": "Fri, 17 Dec 2010 18:42:24 GMT", "version": "v1" } ]

2015-05-20

[ [ "Negi", "O. P. S.", "" ], [ "Dehnen", "H.", "" ] ]

Dual electrodynamics and corresponding Maxwell's equations (in the presence of monopole only) are revisited from the symmetry of duality and gauge invariance. Accordingly, the manifestly covariant, dual symmetric and gauge invariant two potential theory of generalized electromagnetic fields of dyons has been developed consistently from U(1)\times U(1) gauge symmetry. Corresponding field equations and equation of motion are derived from Lagrangian formulation adopted for U(1)\times U(1) gauge symmetry for the justification of two four potentials of dyons.

13.598207

12.300522

13.731754

12.769969

13.443048

12.998075

12.084977

12.582122

12.54636

13.935294

13.852377

13.463654

13.057188

12.834464

13.558298

13.264731

13.807521

13.143618

13.421128

13.493742

13.106308

hep-th/0404231

Gaston Giribet

Gaston Giribet, Daniel Lopez-Fogliani

Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model

24 pages, no figures. v2 references added; accepted for publication in JHEP

JHEP 0406:026,2004

10.1088/1126-6708/2004/06/026

null

hep-th

null

Free field representations of vertex algebra in SL(2,R)/U(1) x U(1) WZNW model are constructed by considering a twisted version of the Bershadsky-Kutasov free field description of discrete states in the two-dimensional black hole CFT. These correspond to conjugate representations describing primary states in the model on SL(2,R)/U(1) x U(1). A particular evaluation of these leads to identities due to the spectral flow symmetry of sl(2)_k algebra. The computation of correlation functions is discussed and, as an application, these are compared with analogous results known for the sine-Liouville theory. Exact agreement is observed between both analytic structures.

[ { "created": "Wed, 28 Apr 2004 21:27:21 GMT", "version": "v1" }, { "created": "Tue, 15 Jun 2004 17:29:16 GMT", "version": "v2" } ]

2010-02-03

[ [ "Giribet", "Gaston", "" ], [ "Lopez-Fogliani", "Daniel", "" ] ]

Free field representations of vertex algebra in SL(2,R)/U(1) x U(1) WZNW model are constructed by considering a twisted version of the Bershadsky-Kutasov free field description of discrete states in the two-dimensional black hole CFT. These correspond to conjugate representations describing primary states in the model on SL(2,R)/U(1) x U(1). A particular evaluation of these leads to identities due to the spectral flow symmetry of sl(2)_k algebra. The computation of correlation functions is discussed and, as an application, these are compared with analogous results known for the sine-Liouville theory. Exact agreement is observed between both analytic structures.

12.522996

12.09282

17.07757

12.185658

13.228957

11.585057

12.0622

11.730372

10.908731

14.808597

11.054426

11.305072

12.211638

11.054621

10.945349

11.532488

11.50733

11.240733

10.670983

12.508938

10.943248

1107.0643

Roland Kirschner

D. Chicherin, S. Derkachov, D. Karakhanyan, R. Kirschner

Baxter operators for arbitrary spin II

33 pages LaTex, version for publication

null

10.1016/j.nuclphysb.2011.08.026

null

hep-th math.QA

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

This paper presents the second part of our study devoted to the construction of Baxter operators for the homogeneous closed XXX spin chain with the quantum space carrying infinite or finite-dimensional $s\ell_2$ representations. We consider the Baxter operators used in \cite{BLZ,Shortcut}, formulate their construction uniformly with the construction of our previous paper. The building blocks of all global chain operators are derived from the general Yang-Baxter operators and all operator relations are derived from general Yang-Baxter relations. This leads naturally to the comparison of both constructions and allows to connect closely the treatment of the cases of infinite-dimensional representation of generic spin and finite-dimensional representations of integer or half-integer spin. We proof not only the relations between the operators but present also their explicit forms and expressions for their action on polynomials representing the quantum states.

[ { "created": "Mon, 4 Jul 2011 14:46:28 GMT", "version": "v1" }, { "created": "Wed, 7 Sep 2011 09:33:56 GMT", "version": "v2" } ]

2015-05-28

[ [ "Chicherin", "D.", "" ], [ "Derkachov", "S.", "" ], [ "Karakhanyan", "D.", "" ], [ "Kirschner", "R.", "" ] ]

This paper presents the second part of our study devoted to the construction of Baxter operators for the homogeneous closed XXX spin chain with the quantum space carrying infinite or finite-dimensional $s\ell_2$ representations. We consider the Baxter operators used in \cite{BLZ,Shortcut}, formulate their construction uniformly with the construction of our previous paper. The building blocks of all global chain operators are derived from the general Yang-Baxter operators and all operator relations are derived from general Yang-Baxter relations. This leads naturally to the comparison of both constructions and allows to connect closely the treatment of the cases of infinite-dimensional representation of generic spin and finite-dimensional representations of integer or half-integer spin. We proof not only the relations between the operators but present also their explicit forms and expressions for their action on polynomials representing the quantum states.

18.474094

17.888796

20.922705

18.09581

19.02317

19.757542

19.64558

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22.0205

17.784637

18.378885

19.324188

18.058495

18.330408

17.957975

18.604492

18.345076

18.190393

19.459379

18.24098

1311.4363

Hrvoje Nikolic

H. Nikolic

Suppressing Hawking radiation by quantum Zeno effect

11 pages, revised, accepted for publication in Phys. Lett. B

Phys. Lett. B 733, 6 (2014)

10.1016/j.physletb.2014.04.017

null

hep-th gr-qc quant-ph

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

We present evidence that quantum Zeno effect, otherwise working only for microscopic systems, may also work for large black holes (BH's). The expectation that a BH geometry should behave classically at time intervals larger than the Planck time t_Pl indicates that the quantum process of measurement of classical degrees of freedom takes time of the order of t_Pl. Since BH has only a few classical degrees of freedom, such a fast measurement makes a macroscopic BH strongly susceptible to the quantum Zeno effect, which repeatedly collapses the quantum state to the initial one, the state before the creation of Hawking quanta. By this mechanism, Hawking radiation from a BH of mass M is strongly suppressed by a factor of the order of m_Pl/M.

[ { "created": "Mon, 18 Nov 2013 13:11:18 GMT", "version": "v1" }, { "created": "Wed, 9 Apr 2014 09:49:43 GMT", "version": "v2" } ]

2015-06-17

[ [ "Nikolic", "H.", "" ] ]

We present evidence that quantum Zeno effect, otherwise working only for microscopic systems, may also work for large black holes (BH's). The expectation that a BH geometry should behave classically at time intervals larger than the Planck time t_Pl indicates that the quantum process of measurement of classical degrees of freedom takes time of the order of t_Pl. Since BH has only a few classical degrees of freedom, such a fast measurement makes a macroscopic BH strongly susceptible to the quantum Zeno effect, which repeatedly collapses the quantum state to the initial one, the state before the creation of Hawking quanta. By this mechanism, Hawking radiation from a BH of mass M is strongly suppressed by a factor of the order of m_Pl/M.

12.016821

13.805482

11.730187

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12.795969

12.605987

11.405473

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11.334732

11.28094

11.71707

11.564763

11.604189

11.345508

11.461464

12.07182

10.917862

hep-th/9309093

Dunbar

David C. Dunbar and Keith G. Joshi

Maverick Examples Of Coset Conformal Field Theories

16pages , reportSWAT-93-07

Mod.Phys.Lett. A8 (1993) 2803-2814

10.1142/S0217732393003196

null

hep-th

null

We present coset conformal field theories whose spectrum is not determined by the identification current method. In these ``maverick'' cosets there is a larger symmetry identifying primary fields than under the identification current. We find an A-D-E classification of these mavericks. }

[ { "created": "Fri, 17 Sep 1993 00:05:44 GMT", "version": "v1" } ]

2015-06-26

[ [ "Dunbar", "David C.", "" ], [ "Joshi", "Keith G.", "" ] ]

We present coset conformal field theories whose spectrum is not determined by the identification current method. In these ``maverick'' cosets there is a larger symmetry identifying primary fields than under the identification current. We find an A-D-E classification of these mavericks. }

27.23715

29.79146

26.951393

21.65234

23.673864

22.515436

27.113045

24.284311

19.708626

26.640497

22.602713

25.24535

26.389856

23.784031

25.054085

24.869743

24.528105

25.392616

25.003876

26.906155

24.294783

hep-th/0309196

Armen Nersessian

Armen Nersessian and Armen Yeranyan

3D Oscillator and Coulomb Systems reduced from Kahler spaces

To the memory of Professor Valery Ter-Antonyan, 11 pages

J.Phys.A37:2791-2802,2004

10.1088/0305-4470/37/7/020

null

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

null

We define the oscillator and Coulomb systems on four-dimensional spaces with U(2)-invariant Kahler metric and perform their Hamiltonian reduction to the three-dimensional oscillator and Coulomb systems specified by the presence of Dirac monopoles. We find the Kahler spaces with conic singularity, where the oscillator and Coulomb systems on three-dimensional sphere and two-sheet hyperboloid are originated. Then we construct the superintegrable oscillator system on three-dimensional sphere and hyperboloid, coupled to monopole, and find their four-dimensional origins. In the latter case the metric of configuration space is non-Kahler one. Finally, we extend these results to the family of Kahler spaces with conic singularities.

[ { "created": "Fri, 19 Sep 2003 10:16:47 GMT", "version": "v1" } ]

2008-11-26

[ [ "Nersessian", "Armen", "" ], [ "Yeranyan", "Armen", "" ] ]

We define the oscillator and Coulomb systems on four-dimensional spaces with U(2)-invariant Kahler metric and perform their Hamiltonian reduction to the three-dimensional oscillator and Coulomb systems specified by the presence of Dirac monopoles. We find the Kahler spaces with conic singularity, where the oscillator and Coulomb systems on three-dimensional sphere and two-sheet hyperboloid are originated. Then we construct the superintegrable oscillator system on three-dimensional sphere and hyperboloid, coupled to monopole, and find their four-dimensional origins. In the latter case the metric of configuration space is non-Kahler one. Finally, we extend these results to the family of Kahler spaces with conic singularities.

8.453347

9.102695

9.397867

9.076518

8.099876

7.853485

9.045718

8.303782

9.040198

9.031531

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8.503677

9.025797

8.292519

8.616737

8.628708

8.469707

8.144565

8.40361

8.890868

8.593689

hep-th/0609087

Dan Israel

Dan Israel and Eliezer Rabinovici

Rolling tachyon in anti-de Sitter space-time

JHEP style, 45 pages, one figure; v2: typos corrected, references added, version to appear in JHEP

JHEP 0701:069,2007

10.1088/1126-6708/2007/01/069

null

hep-th

null

We study the decay of the unstable D-particle in three-dimensional anti-de Sitter space-time using worldsheet boundary conformal field theory methods. We test the open string completeness conjecture in a background for which the phase space available is only field-theoretic. This could present a serious challenge to the claim. We compute the emission of closed strings in the AdS(3) x S^3 x T^4 background from the knowledge of the exact corresponding boundary state we construct. We show that the energy stored in the brane is mainly converted into very excited long strings. The energy stored in short strings and in open string pair production is much smaller and finite for any value of the string coupling. We find no "missing energy" problem. We compare our results to those obtained for a decay in flat space-time and to a background in the presence of a linear dilaton. Some remarks on holographic aspects of the problem are made.

[ { "created": "Tue, 12 Sep 2006 22:05:37 GMT", "version": "v1" }, { "created": "Mon, 15 Jan 2007 13:17:14 GMT", "version": "v2" } ]

2010-10-27

[ [ "Israel", "Dan", "" ], [ "Rabinovici", "Eliezer", "" ] ]

We study the decay of the unstable D-particle in three-dimensional anti-de Sitter space-time using worldsheet boundary conformal field theory methods. We test the open string completeness conjecture in a background for which the phase space available is only field-theoretic. This could present a serious challenge to the claim. We compute the emission of closed strings in the AdS(3) x S^3 x T^4 background from the knowledge of the exact corresponding boundary state we construct. We show that the energy stored in the brane is mainly converted into very excited long strings. The energy stored in short strings and in open string pair production is much smaller and finite for any value of the string coupling. We find no "missing energy" problem. We compare our results to those obtained for a decay in flat space-time and to a background in the presence of a linear dilaton. Some remarks on holographic aspects of the problem are made.

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