LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0012160

Tomas Dolezel

On junction conditions in gravity theories with higher curvature terms

8 pages, LaTeX 2.09 with "ws-p9-75x6-50.cls"; to appear in the electronic proceedings of the 9-th Marcel Grossmann Meeting (Rome, July 2000)

null

hep-th astro-ph gr-qc

null

We discuss the junction conditions in the context of the Randall-Sundrum model with the Gauss-Bonnet interaction. We consider the $Z_2$ symmetric model where the brane is embedded in an $AdS_5$ bulk, as well as a model without $Z_2$ symmetry in which the brane (in this case called by tradition ``shell'') separates two metrically different $AdS_5$ regions. We show that the Israel junction conditions across the membrane (that is either a brane or a shell) have to be modified if more general equations than Einstein's, including higher curvature terms, hold in the bulk, as is likely to be the case in a low energy limit of string theory. We find that the membrane can then no longer be treated in the thin wall approximation. We derive the junction conditions for the Einstein-Gauss-Bonnet theory including second order curvature terms and show that the microphysics of Gauss-Bonnet thick membranes may, in some instances, be simply hidden in a renormalization of Einstein's constant.

[ { "created": "Mon, 18 Dec 2000 18:41:50 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dolezel", "Tomas", "" ] ]

We discuss the junction conditions in the context of the Randall-Sundrum model with the Gauss-Bonnet interaction. We consider the $Z_2$ symmetric model where the brane is embedded in an $AdS_5$ bulk, as well as a model without $Z_2$ symmetry in which the brane (in this case called by tradition ``shell'') separates two metrically different $AdS_5$ regions. We show that the Israel junction conditions across the membrane (that is either a brane or a shell) have to be modified if more general equations than Einstein's, including higher curvature terms, hold in the bulk, as is likely to be the case in a low energy limit of string theory. We find that the membrane can then no longer be treated in the thin wall approximation. We derive the junction conditions for the Einstein-Gauss-Bonnet theory including second order curvature terms and show that the microphysics of Gauss-Bonnet thick membranes may, in some instances, be simply hidden in a renormalization of Einstein's constant.

7.891795

8.157804

7.933174

7.851159

8.257059

7.778027

8.222082

7.615426

7.785016

8.368491

7.555575

7.513406

7.636899

7.469699

7.761255

7.646703

7.423716

7.653364

7.588563

7.524937

7.482496

hep-th/9608193

Andreas Aste

A. Aste and G. Scharf

Two-Loop Diagrams in Causal Perturbation Theory

16 pages, latex, the figures can be ordered at the first authors address (A.Aste), the necessary macros are included in the latex-file

Annals Phys. 257 (1997) 158-204

10.1006/aphy.1997.5686

ZU-TH-22/96

hep-th

null

The scalar two-loop master diagram is revisited in the massive cases needed for the computation of boson and fermion propagators in QED and QCD. By means of the causal method it is possible in a straightforward manner to express the propagators as double integrals. In the case of vacuum polarization both integrations can be carried out in terms of polylogarithms, whereas the last integral in the fermion propagator cannot be expressed by known special functions. The advantage of the method in comparison with Feynman integral calculations is indicated.

[ { "created": "Thu, 29 Aug 1996 16:06:57 GMT", "version": "v1" } ]

2016-09-06

[ [ "Aste", "A.", "" ], [ "Scharf", "G.", "" ] ]

The scalar two-loop master diagram is revisited in the massive cases needed for the computation of boson and fermion propagators in QED and QCD. By means of the causal method it is possible in a straightforward manner to express the propagators as double integrals. In the case of vacuum polarization both integrations can be carried out in terms of polylogarithms, whereas the last integral in the fermion propagator cannot be expressed by known special functions. The advantage of the method in comparison with Feynman integral calculations is indicated.

9.962273

10.451437

9.409041

9.380778

9.961987

11.585373

10.096334

9.472084

9.228971

9.277123

9.439984

9.080562

9.263778

9.230353

8.9958

9.260578

9.261416

8.923925

9.412562

9.189631

8.770032

1903.05581

Erik Plauschinn

Dieter Lust, Emanuel Malek, Erik Plauschinn, Marc Syvari

Open-String Non-Associativity in an R-flux Background

29 pages; v2: added section 3.5, minor changes; v3: published version, clarifications added in sections 3 and 4, added appendix B.4

null

10.1007/JHEP05(2020)157

null

hep-th

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

We derive the commutation relations for open-string coordinates on D-branes in non-geometric background spaces. Starting from D0-branes on a three-dimensional torus with H-flux, we show that open strings with end points on D3-branes in a three-dimensional R-flux background exhibit a non-associative phase-space algebra, which is similar to the non-associative R-flux algebra of closed strings. Therefore, the effective open-string gauge theory on the D3-branes is expected to be a non-associative gauge theory. We also point out differences between the non-associative phase space structure of open and closed strings in non-geometric backgrounds, which are related to the different structure of the world-sheet commutators of open and closed strings.

[ { "created": "Wed, 13 Mar 2019 16:28:16 GMT", "version": "v1" }, { "created": "Thu, 18 Apr 2019 13:10:47 GMT", "version": "v2" }, { "created": "Fri, 5 Jun 2020 06:00:56 GMT", "version": "v3" } ]

2020-06-24

[ [ "Lust", "Dieter", "" ], [ "Malek", "Emanuel", "" ], [ "Plauschinn", "Erik", "" ], [ "Syvari", "Marc", "" ] ]

We derive the commutation relations for open-string coordinates on D-branes in non-geometric background spaces. Starting from D0-branes on a three-dimensional torus with H-flux, we show that open strings with end points on D3-branes in a three-dimensional R-flux background exhibit a non-associative phase-space algebra, which is similar to the non-associative R-flux algebra of closed strings. Therefore, the effective open-string gauge theory on the D3-branes is expected to be a non-associative gauge theory. We also point out differences between the non-associative phase space structure of open and closed strings in non-geometric backgrounds, which are related to the different structure of the world-sheet commutators of open and closed strings.

6.464482

6.087702

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6.086879

6.122771

5.803368

5.394217

6.016692

6.494796

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5.848663

6.166372

5.606742

6.005458

6.041029

5.868904

5.867611

5.682185

6.245469

5.746057

hep-th/0312322

Sergey Krivonos

S. Bellucci, E. Ivanov, S. Krivonos, O. Lechtenfeld

N=8 superconformal mechanics

31 pages, LaTeX, typos corrected, reference added

Nucl.Phys.B684:321-350,2004

10.1016/j.nuclphysb.2004.02.023

ITP-UH-34/03

hep-th

null

We construct new models of N=8 superconformal mechanics associated with the off-shell N=8, d=1 supermultiplets (3,8,5) and (5,8,3). These two multiplets are derived as N=8 Goldstone superfields and correspond to nonlinear realizations of the N=8, d=1 superconformal group OSp(4^*|4) in its supercosets OSp(4^*|4)/U(1)_R x SO(5) and OSp(4^*|4)/SU(2)_R x SO(4), respectively. The irreducibility constraints for these superfields automatically follow from appropriate superconformal covariant conditions on the Cartan superforms. The N=8 superconformal transformations of the superspace coordinates and the Goldstone superfields are explicitly given. Interestingly, each N=8 supermultiplet admits two different off-shell N=4 decompositions, with different N=4 superconformal subgroups SU(1,1|2) and OSp(4^*|2) of OSp(4^*|4) being manifest as superconformal symmetries of the corresponding N=4, d=1 superspaces. We present the actions for all such N=4 splittings of the N=8 multiplets considered.

[ { "created": "Wed, 31 Dec 2003 14:58:52 GMT", "version": "v1" }, { "created": "Sat, 3 Jan 2004 07:22:35 GMT", "version": "v2" } ]

2011-07-28

[ [ "Bellucci", "S.", "" ], [ "Ivanov", "E.", "" ], [ "Krivonos", "S.", "" ], [ "Lechtenfeld", "O.", "" ] ]

We construct new models of N=8 superconformal mechanics associated with the off-shell N=8, d=1 supermultiplets (3,8,5) and (5,8,3). These two multiplets are derived as N=8 Goldstone superfields and correspond to nonlinear realizations of the N=8, d=1 superconformal group OSp(4^*|4) in its supercosets OSp(4^*|4)/U(1)_R x SO(5) and OSp(4^*|4)/SU(2)_R x SO(4), respectively. The irreducibility constraints for these superfields automatically follow from appropriate superconformal covariant conditions on the Cartan superforms. The N=8 superconformal transformations of the superspace coordinates and the Goldstone superfields are explicitly given. Interestingly, each N=8 supermultiplet admits two different off-shell N=4 decompositions, with different N=4 superconformal subgroups SU(1,1|2) and OSp(4^*|2) of OSp(4^*|4) being manifest as superconformal symmetries of the corresponding N=4, d=1 superspaces. We present the actions for all such N=4 splittings of the N=8 multiplets considered.

4.52601

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5.176507

3.993869

4.554574

4.089773

4.129804

4.013441

4.083931

5.093101

4.093655

4.362589

4.491548

4.325451

4.26619

4.289164

4.278601

4.27934

4.344351

4.693184

4.252

hep-th/9503105

null

J.M.F. Labastida and M. Mari\~no

A TOPOLOGICAL LAGRANGIAN FOR MONOPOLES ON FOUR-MANIFOLDS

the date has been corrected

Phys.Lett. B351 (1995) 146-152

10.1016/0370-2693(95)00411-D

null

hep-th

null

We present a topological quantum field theory which corresponds to the moduli problem associated to Witten's monopole equations for four-manifolds. The construction of the theory is carried out in purely geometrical terms using the Mathai-Quillen formalism, and the corresponding observables are described. These provide a rich set of new topological quantites.

[ { "created": "Thu, 16 Mar 1995 04:59:33 GMT", "version": "v1" }, { "created": "Tue, 21 Mar 1995 01:07:44 GMT", "version": "v2" } ]

2009-10-28

[ [ "Labastida", "J. M. F.", "" ], [ "Mariño", "M.", "" ] ]

We present a topological quantum field theory which corresponds to the moduli problem associated to Witten's monopole equations for four-manifolds. The construction of the theory is carried out in purely geometrical terms using the Mathai-Quillen formalism, and the corresponding observables are described. These provide a rich set of new topological quantites.

9.572962

8.20636

9.791974

7.554991

9.099451

8.446302

7.976188

8.625638

7.876952

11.515247

8.400305

8.295016

9.084305

8.191746

8.374757

8.216564

8.140648

8.104559

8.632676

8.791566

8.067436

2402.05623

Wenqi Yu

Cheng-Yang Lee, Haomin Rao, Wenqi Yu, Siyi Zhou

Mass dimension one fermions in FLRW space-time

19 pages

null

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

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

Cosmelkology is the study of Elko in cosmology. Elko is a massive spin-half field of mass dimension one. Elko differs from the Dirac and Majorana fermions because it furnishes the irreducible representation of the extended Poincare group with a two-fold Wigner degeneracy where the particle and anti-particle states both have four degrees of freedom. Elko has a renormalizable quartic self interaction which makes it a candidate for self-interacting dark matter. We study Elko in the spatially flat FLRW space-time and find exact solutions in the de Sitter space. By choosing the appropriate solutions and phases, the fields satisfy the canonical anti-commutation relations and have the correct time evolutions in the flat space limit.

[ { "created": "Thu, 8 Feb 2024 12:27:23 GMT", "version": "v1" }, { "created": "Sun, 3 Mar 2024 10:57:52 GMT", "version": "v2" }, { "created": "Thu, 18 Jul 2024 06:25:31 GMT", "version": "v3" } ]

2024-07-19

[ [ "Lee", "Cheng-Yang", "" ], [ "Rao", "Haomin", "" ], [ "Yu", "Wenqi", "" ], [ "Zhou", "Siyi", "" ] ]

Cosmelkology is the study of Elko in cosmology. Elko is a massive spin-half field of mass dimension one. Elko differs from the Dirac and Majorana fermions because it furnishes the irreducible representation of the extended Poincare group with a two-fold Wigner degeneracy where the particle and anti-particle states both have four degrees of freedom. Elko has a renormalizable quartic self interaction which makes it a candidate for self-interacting dark matter. We study Elko in the spatially flat FLRW space-time and find exact solutions in the de Sitter space. By choosing the appropriate solutions and phases, the fields satisfy the canonical anti-commutation relations and have the correct time evolutions in the flat space limit.

11.997954

11.024836

12.056831

9.278448

9.971928

10.583779

10.665245

9.658121

10.112102

11.611136

9.603456

10.061661

10.41398

10.582398

10.374755

10.352602

10.790958

10.283184

10.75717

10.776818

9.80683

hep-th/9711121

Alexei Mishchenko

Yurii Sitenko, Alexei Mishchenko (Bogolyubov Institute for Theoretical Physics)

Aharonov-Bohm effect in curved space and cosmic strings

A shortened version of the paper published in JETP {\bf 81} (5), 831-850, (1995), 8 pages, LaTeX209, added acknowledgments

J.Exp.Theor.Phys. 81 (1995) 831-850; Zh.Eksp.Teor.Fiz. 108 (1995) 1516-1553

null

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

null

A quantum theory is developed for the scattering of a nonrelativistic particle in the field of a cosmic string regarded as a combination of a magnetic and gravitational strings. Allowance is made for the effects due to the finite transverse dimensions of the string under fairly general assumptions about the distribution of the magnetic field and spatial curvature in the string. It is shown that in a definite range of angles the differential cross section at all absolute values of the wave vector of the incident particle depends strongly on the magnetic flux of the string.

[ { "created": "Mon, 17 Nov 1997 15:19:54 GMT", "version": "v1" }, { "created": "Mon, 18 Jan 1999 09:41:04 GMT", "version": "v2" } ]

2007-05-23

[ [ "Sitenko", "Yurii", "", "Bogolyubov Institute for Theoretical\n Physics" ], [ "Mishchenko", "Alexei", "", "Bogolyubov Institute for Theoretical\n Physics" ] ]

A quantum theory is developed for the scattering of a nonrelativistic particle in the field of a cosmic string regarded as a combination of a magnetic and gravitational strings. Allowance is made for the effects due to the finite transverse dimensions of the string under fairly general assumptions about the distribution of the magnetic field and spatial curvature in the string. It is shown that in a definite range of angles the differential cross section at all absolute values of the wave vector of the incident particle depends strongly on the magnetic flux of the string.

10.050273

11.188366

11.097736

9.850177

10.892076

10.717357

11.059933

10.920115

10.440915

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10.111711

9.983313

10.441605

9.633317

10.139529

9.597792

10.537785

10.283649

9.989778

9.742477

9.665389

hep-th/9707135

Alec Matusis

Interaction of non-parallel D1-branes

10 pages, LaTex, no figures

Int.J.Mod.Phys. A14 (1999) 1153-1162

10.1142/S0217751X99000592

MIT-CTP-2657

hep-th

null

We find the potential per unit length between two non-intersecting D1-branes as a function of their relative angle.

[ { "created": "Tue, 15 Jul 1997 00:08:06 GMT", "version": "v1" } ]

2009-10-30

[ [ "Matusis", "Alec", "" ] ]

We find the potential per unit length between two non-intersecting D1-branes as a function of their relative angle.

21.692091

11.066242

12.670366

10.932465

10.735312

11.751993

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17.058262

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16.066521

12.840852

12.706839

13.151511

12.893467

13.390022

12.467817

15.531042

12.390897

hep-th/0010242

Joan Simon

Automorphisms as brane non-local transformations

8 pages, no figures, RevTex style

null

hep-th

null

The relation among spacetime supersymmetry algebras and superbrane actions is further explored. It is proved that $SL(2,\bR)$ belongs to the automorphism group of the ${\cal N}=2$ D=10 type IIB SuperPoincar\'e algebra. Its SO(2) subgroup is identified with a non-local SO(2) transformation found in hep-th/9806161. Performing T-duality, new non-local transformations are found in type IIA relating, among others, BIon configurations with two D2-branes intersecting at a point. Its M-theory origin is explained. These results show that part of the SuperPoincar\'e algebra automorphism group might be realized on the field theory as non-local transformations.

[ { "created": "Thu, 26 Oct 2000 13:42:54 GMT", "version": "v1" } ]

2007-05-23

[ [ "Simon", "Joan", "" ] ]

The relation among spacetime supersymmetry algebras and superbrane actions is further explored. It is proved that $SL(2,\bR)$ belongs to the automorphism group of the ${\cal N}=2$ D=10 type IIB SuperPoincar\'e algebra. Its SO(2) subgroup is identified with a non-local SO(2) transformation found in hep-th/9806161. Performing T-duality, new non-local transformations are found in type IIA relating, among others, BIon configurations with two D2-branes intersecting at a point. Its M-theory origin is explained. These results show that part of the SuperPoincar\'e algebra automorphism group might be realized on the field theory as non-local transformations.

9.724062

8.182213

10.228959

8.486168

9.098063

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8.682324

8.614987

8.490173

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8.730053

9.352046

8.826452

8.852558

8.82182

8.498044

8.887819

8.509468

9.310567

8.58084

0903.3443

Nathan Berkovits

Yuri Aisaka and Nathan Berkovits (IFT-UNESP, Sao Paulo)

Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization

30 pages latex, added references and comments to Grassi-Vanhove paper

JHEP 0907:062,2009

10.1088/1126-6708/2009/07/062

IFT-P.002/2009, NSF-KITP-09-25

hep-th

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

Since the b ghost in the pure spinor formalism is a composite operator depending on non-minimal variables, it is not trivial to impose the Siegel gauge condition b_0 V=0 on BRST-invariant vertex operators. Using the antifield vertex operator V* of ghost-number +2, we show that Siegel gauge unintegrated vertex operators can be constructed as b_0 V* and Siegel gauge integrated vertex operators as \int dz b_{-1} b_0 V*. These Siegel gauge vertex operators depend on the non-minimal variables, so scattering amplitudes involving these operators need to be regularized using the prescription developed previously with Nekrasov. As an example of this regularization prescription, we compute the four-point one-loop amplitude with four Siegel gauge integrated vertex operators. This is the first one-loop computation in the pure spinor formalism that does not require unintegrated vertex operators.

[ { "created": "Fri, 20 Mar 2009 00:45:15 GMT", "version": "v1" }, { "created": "Wed, 27 May 2009 07:18:04 GMT", "version": "v2" } ]

2009-08-03

[ [ "Aisaka", "Yuri", "", "IFT-UNESP, Sao Paulo" ], [ "Berkovits", "Nathan", "", "IFT-UNESP, Sao Paulo" ] ]

Since the b ghost in the pure spinor formalism is a composite operator depending on non-minimal variables, it is not trivial to impose the Siegel gauge condition b_0 V=0 on BRST-invariant vertex operators. Using the antifield vertex operator V* of ghost-number +2, we show that Siegel gauge unintegrated vertex operators can be constructed as b_0 V* and Siegel gauge integrated vertex operators as \int dz b_{-1} b_0 V*. These Siegel gauge vertex operators depend on the non-minimal variables, so scattering amplitudes involving these operators need to be regularized using the prescription developed previously with Nekrasov. As an example of this regularization prescription, we compute the four-point one-loop amplitude with four Siegel gauge integrated vertex operators. This is the first one-loop computation in the pure spinor formalism that does not require unintegrated vertex operators.

8.270256

7.27494

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7.339053

7.288787

7.451986

7.414972

7.651591

7.323891

8.364147

7.378295

hep-th/9708071

Raimar Wulkenhaar

Gauge theories with graded differential Lie algebras

10 pages, LaTeX2e, extended version (references and comments on the construction of physical models and on the relation to the axioms of noncommutative geometry added)

J.Math.Phys. 40 (1999) 787-794

10.1063/1.532685

null

hep-th

null

We present a mathematical framework of gauge theories that is based upon a skew-adjoint Lie algebra and a generalized Dirac operator, both acting on a Hilbert space.

[ { "created": "Tue, 12 Aug 1997 19:10:30 GMT", "version": "v1" }, { "created": "Wed, 6 May 1998 08:49:43 GMT", "version": "v2" } ]

2009-10-30

[ [ "Wulkenhaar", "Raimar", "" ] ]

We present a mathematical framework of gauge theories that is based upon a skew-adjoint Lie algebra and a generalized Dirac operator, both acting on a Hilbert space.

12.508625

10.299809

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11.352313

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12.041773

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10.633971

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9.954293

9.799195

9.74168

10.66258

9.925256

1310.1264

Gor Sarkissian

Eva Gevorgyan and Gor Sarkissian

Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields

18 pages, minor typos corrected, references added

JHEP 03 (2014) 035

10.1007/JHEP03(2014)035

null

hep-th

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

We construct topological defects generating non-abelian T-duality for isometry groups acting without isotropy. We find that these defects are given by line bundles on the correspondence space with curvature which can be considered as a non-abelian generalization of the curvature of the Poincar\`{e} bundle. We show that the defect equations of motion encode the non-abelian T-duality transformation. The Fourier-Mukai transform of the Ramond-Ramond fields generated by the gauge invariant flux of these defects is studied. We show that it provides elegant and compact way of computation of the transformation of the Ramond-Ramond fields under the non-abelian T-duality.

[ { "created": "Fri, 4 Oct 2013 13:41:28 GMT", "version": "v1" }, { "created": "Wed, 9 Oct 2013 14:37:52 GMT", "version": "v2" }, { "created": "Wed, 23 Oct 2013 16:29:14 GMT", "version": "v3" }, { "created": "Wed, 13 Nov 2013 18:02:35 GMT", "version": "v4" } ]

2023-04-12

[ [ "Gevorgyan", "Eva", "" ], [ "Sarkissian", "Gor", "" ] ]

We construct topological defects generating non-abelian T-duality for isometry groups acting without isotropy. We find that these defects are given by line bundles on the correspondence space with curvature which can be considered as a non-abelian generalization of the curvature of the Poincar\`{e} bundle. We show that the defect equations of motion encode the non-abelian T-duality transformation. The Fourier-Mukai transform of the Ramond-Ramond fields generated by the gauge invariant flux of these defects is studied. We show that it provides elegant and compact way of computation of the transformation of the Ramond-Ramond fields under the non-abelian T-duality.

7.593369

6.704268

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6.740812

6.465179

6.80736

7.102371

6.779403

6.530752

8.517193

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6.550436

7.35929

6.56271

6.592829

6.649743

6.639998

6.652064

6.644171

7.653567

6.382381

0712.1718

George Bogoslovsky

Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

SIGMA 4 (2008), 045, 21 pages

10.3842/SIGMA.2008.045

null

hep-th

null

We study the geometric phase transitions that accompany the dynamic rearrangement of vacuum under spontaneous violation of initial gauge symmetry. The rearrangement may give rise to condensates of three types, namely the scalar, axially symmetric, and entirely anisotropic condensates. The flat space-time keeps being the Minkowski space in the only case of scalar condensate. The anisotropic condensate having arisen, the respective anisotropy occurs also in space-time. In this case the space-time filled with axially symmetric condensate proves to be a flat relativistically invariant Finslerian space with partially broken 3D isotropy, while the space-time filled with entirely anisotropic condensate proves to be a flat relativistically invariant Finslerian space with entirely broken 3D isotropy. The two Finslerian space types are described briefly in the extended introduction to the work, while the original part of the latter is devoted to determining observable 3-velocities in the entirely anisotropic Finslerian event space. The main difficulties that are overcome in solving that problem arose from the nonstandard form of the light cone equation and from the necessity of correct introducing of a norm in the linear vector space of rapidities.

[ { "created": "Tue, 11 Dec 2007 14:33:39 GMT", "version": "v1" }, { "created": "Mon, 26 May 2008 05:19:19 GMT", "version": "v2" } ]

2008-05-26

[ [ "Bogoslovsky", "George", "" ] ]

We study the geometric phase transitions that accompany the dynamic rearrangement of vacuum under spontaneous violation of initial gauge symmetry. The rearrangement may give rise to condensates of three types, namely the scalar, axially symmetric, and entirely anisotropic condensates. The flat space-time keeps being the Minkowski space in the only case of scalar condensate. The anisotropic condensate having arisen, the respective anisotropy occurs also in space-time. In this case the space-time filled with axially symmetric condensate proves to be a flat relativistically invariant Finslerian space with partially broken 3D isotropy, while the space-time filled with entirely anisotropic condensate proves to be a flat relativistically invariant Finslerian space with entirely broken 3D isotropy. The two Finslerian space types are described briefly in the extended introduction to the work, while the original part of the latter is devoted to determining observable 3-velocities in the entirely anisotropic Finslerian event space. The main difficulties that are overcome in solving that problem arose from the nonstandard form of the light cone equation and from the necessity of correct introducing of a norm in the linear vector space of rapidities.

10.651628

12.821568

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11.87431

12.842777

11.570422

10.951782

10.95813

10.914973

11.141094

10.760561

10.993514

10.92146

10.87647

11.079923

10.876601

0807.2897

Stanislav Kuperstein

Stanislav Kuperstein, Jacob Sonnenschein

A New Holographic Model of Chiral Symmetry Breaking

26 pages, 4 figures; a calculational mistake corrected, one more acknowledgement added;

JHEP 0809:012,2008

10.1088/1126-6708/2008/09/012

ULB-TH/08-23, TAUP 2879-08

hep-th

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

A new family of models of flavour chiral symmetry breaking is proposed. The models are based on the embedding of a stack of D7-branes and a stack of anti D7-branes in the conifold background. This family of gravity models is dual to a field theory with spontaneous breaking of conformal invariance and chiral flavour symmetry. We identify the corresponding Goldstone bosons and compute the spectra of massive scalar and vector mesons. The dual quiver gauge theory is also discussed. We further analyse a model where chiral symmetry is not broken.

[ { "created": "Fri, 18 Jul 2008 05:54:32 GMT", "version": "v1" }, { "created": "Fri, 22 Aug 2008 15:40:13 GMT", "version": "v2" }, { "created": "Mon, 12 Jan 2009 16:13:58 GMT", "version": "v3" } ]

2011-08-04

[ [ "Kuperstein", "Stanislav", "" ], [ "Sonnenschein", "Jacob", "" ] ]

A new family of models of flavour chiral symmetry breaking is proposed. The models are based on the embedding of a stack of D7-branes and a stack of anti D7-branes in the conifold background. This family of gravity models is dual to a field theory with spontaneous breaking of conformal invariance and chiral flavour symmetry. We identify the corresponding Goldstone bosons and compute the spectra of massive scalar and vector mesons. The dual quiver gauge theory is also discussed. We further analyse a model where chiral symmetry is not broken.

8.374396

7.361298

8.548905

7.360172

7.490685

7.024405

7.270058

7.036652

7.204042

8.869087

7.149783

7.179672

7.557377

7.313018

7.248789

7.486366

7.521026

7.122068

7.391426

7.653039

7.564362

hep-th/9612114

Joseph D. Lykken

Introduction to Supersymmetry

Lectures given at TASI-96, Boulder CO, June 1996; Latex, 67 pages, TASI96

null

FERMILAB-PUB-96/445-T

hep-th

null

These lectures give a self-contained introduction to supersymmetry from a modern perspective. Emphasis is placed on material essential to understanding duality. Topics include: central charges and BPS-saturated states, supersymmetric nonlinear sigma models, N=2 Yang-Mills theory, holomorphy and the N=2 Yang-Mills beta function, supersymmetry in 2, 6, 10, and 11 spacetime dimensions.

[ { "created": "Wed, 11 Dec 1996 03:41:53 GMT", "version": "v1" } ]

2007-05-23

[ [ "Lykken", "Joseph D.", "" ] ]

These lectures give a self-contained introduction to supersymmetry from a modern perspective. Emphasis is placed on material essential to understanding duality. Topics include: central charges and BPS-saturated states, supersymmetric nonlinear sigma models, N=2 Yang-Mills theory, holomorphy and the N=2 Yang-Mills beta function, supersymmetry in 2, 6, 10, and 11 spacetime dimensions.

7.723629

6.966813

8.474263

6.147092

7.715292

7.955667

6.996408

6.045294

6.749339

7.529579

6.391879

6.546933

6.615502

6.20551

6.397284

6.614201

6.633868

6.437469

6.186746

6.327536

6.395062

hep-th/0301002

Steven S. Gubser

Steven S. Gubser and Arkadas Ozakin

Universality classes for horizon instabilities

23 pages, latex2e, 4 figures

JHEP 0305:010,2003

10.1088/1126-6708/2003/05/010

PUPT-2059

hep-th

null

We introduce a notion of universality classes for the Gregory-Laflamme instability and determine, in the supergravity approximation, the stability of a variety of solutions, including the non-extremal D3-brane, M2-brane, and M5-brane. These three non-dilatonic branes cross over from instability to stability at a certain non-extremal mass. Numerical analysis suggests that the wavelength of the shortest unstable mode diverges as one approaches the cross-over point from above, with a simple critical exponent which is the same in all three cases.

[ { "created": "Wed, 1 Jan 2003 16:05:59 GMT", "version": "v1" } ]

2010-02-03

[ [ "Gubser", "Steven S.", "" ], [ "Ozakin", "Arkadas", "" ] ]

We introduce a notion of universality classes for the Gregory-Laflamme instability and determine, in the supergravity approximation, the stability of a variety of solutions, including the non-extremal D3-brane, M2-brane, and M5-brane. These three non-dilatonic branes cross over from instability to stability at a certain non-extremal mass. Numerical analysis suggests that the wavelength of the shortest unstable mode diverges as one approaches the cross-over point from above, with a simple critical exponent which is the same in all three cases.

8.278489

8.146303

7.625428

7.441283

7.660833

8.237045

7.51766

7.73221

7.6583

8.821162

7.379928

7.463543

7.790612

7.195053

7.436965

7.286798

7.013495

7.349647

7.340526

7.949499

7.593445

1311.2590

Amos Yarom

Han-Chih Chang, Andreas Karch and Amos Yarom

An ansatz for one dimensional steady state configurations

19 pages, 4 figures; Fixed typo and added footnote

null

10.1088/1742-5468/2014/06/P06018

null

hep-th cond-mat.str-el

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

We conjecture a universal formula for the heat current of a steady state connecting two asymptotic equilibrium systems in d-dimensional conformal field theories. Our proposal is verified by comparing it to exact expressions in 1+1 dimensions and linear hydrodynamics as well as numerical simulations in an Israel-Stewart like theory of second order viscous hydrodynamics.

[ { "created": "Mon, 11 Nov 2013 21:00:05 GMT", "version": "v1" }, { "created": "Fri, 15 Nov 2013 20:25:51 GMT", "version": "v2" } ]

2015-06-17

[ [ "Chang", "Han-Chih", "" ], [ "Karch", "Andreas", "" ], [ "Yarom", "Amos", "" ] ]

We conjecture a universal formula for the heat current of a steady state connecting two asymptotic equilibrium systems in d-dimensional conformal field theories. Our proposal is verified by comparing it to exact expressions in 1+1 dimensions and linear hydrodynamics as well as numerical simulations in an Israel-Stewart like theory of second order viscous hydrodynamics.

15.277374

13.811646

13.715773

11.404583

12.671614

11.459283

12.500227

13.173073

11.058612

14.769518

11.924851

11.569555

12.715278

12.378843

12.110515

11.450011

11.2665

11.789771

11.32305

12.577305

11.141957

hep-th/9412143

M. Thies

F. Lenz, E. J. Moniz, and M. Thies (MIT and University of Erlangen-N\"urnberg)

Signatures of Confinement in Axial Gauge QCD

22 pages (no figures)

Annals Phys. 242 (1995) 429-451

10.1006/aphy.1995.1087

CTP-2390, FAU-TP3-94/5

hep-th

null

A comparative dynamical study of axial gauge QED and QCD is presented. Elementary excitations associated with particular field configurations are investigated. Gluonic excitations analogous to linearly polarized photons are shown to acquire infinite energy. Suppression of this class of excitations in QCD results from quantization of the chromelectric flux and is interpreted as a dual Meissner effect, i.e. as expulsion from the QCD vacuum of chromo-electric fields which are constant over significant distances. This interpretation is supported by a comparative evaluation of the interaction energy of static charges in the axial gauge representation of QED and QCD.

[ { "created": "Fri, 16 Dec 1994 10:50:14 GMT", "version": "v1" } ]

2015-06-26

[ [ "Lenz", "F.", "", "MIT and University of\n Erlangen-Nürnberg" ], [ "Moniz", "E. J.", "", "MIT and University of\n Erlangen-Nürnberg" ], [ "Thies", "M.", "", "MIT and University of\n Erlangen-Nürnberg" ] ]

A comparative dynamical study of axial gauge QED and QCD is presented. Elementary excitations associated with particular field configurations are investigated. Gluonic excitations analogous to linearly polarized photons are shown to acquire infinite energy. Suppression of this class of excitations in QCD results from quantization of the chromelectric flux and is interpreted as a dual Meissner effect, i.e. as expulsion from the QCD vacuum of chromo-electric fields which are constant over significant distances. This interpretation is supported by a comparative evaluation of the interaction energy of static charges in the axial gauge representation of QED and QCD.

11.503132

11.415922

10.464658

10.02596

11.322719

12.513335

11.709827

10.552611

10.604997

12.648071

10.881712

11.122903

10.927471

10.615475

10.820145

11.116405

10.262403

10.378228

10.541218

10.851161

10.682698

1504.01494

Robert Delbourgo

Robert Delbourgo and Paul D. Stack

The Relativity of Chiral Property

10 pages, no figures. To appear in IJMPA

null

hep-th

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

The standard model ascribes distinct properties to different chiralities of fermions. We show how to incorporate this aspect in an extended spacetime-property framework involving two different attributes using a generalized metric which includes gauge fields as well as gravitation. Because the gauge fields are accompanied by coupling constants, all such schemes, including ours, necessitate coupling unification at high energy to ensure universality of gravitational interactions with matter.

[ { "created": "Tue, 7 Apr 2015 06:54:35 GMT", "version": "v1" } ]

2015-04-08

[ [ "Delbourgo", "Robert", "" ], [ "Stack", "Paul D.", "" ] ]

The standard model ascribes distinct properties to different chiralities of fermions. We show how to incorporate this aspect in an extended spacetime-property framework involving two different attributes using a generalized metric which includes gauge fields as well as gravitation. Because the gauge fields are accompanied by coupling constants, all such schemes, including ours, necessitate coupling unification at high energy to ensure universality of gravitational interactions with matter.

27.937248

31.106157

26.442202

25.676207

26.557709

29.506929

29.448513

28.348726

24.764801

28.935062

26.079557

25.127577

26.684864

24.469606

25.672436

24.939457

25.242943

24.739077

26.611868

24.67235

25.045753

hep-th/0011225

Andrei Linde

Gary Gibbons, Renata Kallosh and Andrei Linde

Brane World Sum Rules

13 pages, JHEP, references added

JHEP 0101:022,2001

10.1088/1126-6708/2001/01/022

SU-ITP-00-30, DAMTP-2000-130

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

null

A set of consistency conditions is derived from Einstein equations for brane world scenarios with a spatially periodic internal space. In particular, the sum of the total tension of the flat branes and the non-negative integral of the gradient energy of the bulk scalars must vanish. This constraint allows us to make a simple consistency check of several models. We show that the two-brane Randall-Sundrum model satisfies this constraint, but it does not allow a generalization with smooth branes (domain walls), independently of the issue of supersymmetry. The Goldberger-Wise model of brane stabilization has to include the backreaction on the metric and the fine tuning of the cosmological constant to satisfy the constraints. We check that this is achieved in the DeWolfe-Freedman-Gubser-Karch scenario. Our constraints are automatically satisfied in supersymmetric brane world models.

[ { "created": "Fri, 24 Nov 2000 22:24:48 GMT", "version": "v1" }, { "created": "Fri, 1 Dec 2000 18:40:07 GMT", "version": "v2" } ]

2009-10-31

[ [ "Gibbons", "Gary", "" ], [ "Kallosh", "Renata", "" ], [ "Linde", "Andrei", "" ] ]

A set of consistency conditions is derived from Einstein equations for brane world scenarios with a spatially periodic internal space. In particular, the sum of the total tension of the flat branes and the non-negative integral of the gradient energy of the bulk scalars must vanish. This constraint allows us to make a simple consistency check of several models. We show that the two-brane Randall-Sundrum model satisfies this constraint, but it does not allow a generalization with smooth branes (domain walls), independently of the issue of supersymmetry. The Goldberger-Wise model of brane stabilization has to include the backreaction on the metric and the fine tuning of the cosmological constant to satisfy the constraints. We check that this is achieved in the DeWolfe-Freedman-Gubser-Karch scenario. Our constraints are automatically satisfied in supersymmetric brane world models.

10.78366

9.583692

11.343208

10.624562

10.702209

11.019628

10.894039

10.781178

10.227981

11.946518

9.649817

10.616898

10.140521

10.094972

10.215062

10.569839

10.160943

10.178825

10.145814

10.57481

10.875909

1208.3327

Lukas Janssen

Lukas Janssen and Holger Gies

Critical behavior of the (2+1)-dimensional Thirring model

28 pages, 14 figures

Phys.Rev.D86:105007,2012

10.1103/PhysRevD.86.105007

null

hep-th cond-mat.str-el hep-lat hep-ph

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

We investigate chiral symmetry breaking in the (2+1)-dimensional Thirring model as a function of the coupling as well as the Dirac flavor number Nf with the aid of the functional renormalization group. For small enough flavor number Nf < Nfc, the model exhibits a chiral quantum phase transition for sufficiently large coupling. We compute the critical exponents of this second order transition as well as the fermionic and bosonic mass spectrum inside the broken phase within a next-to-leading order derivative expansion. We also determine the quantum critical behavior of the many-flavor transition which arises due to a competition between vector and chiral-scalar channel and which is of second order as well. Due to the problem of competing channels, our results rely crucially on the RG technique of dynamical bosonization. For the critical flavor number, we find Nfc ~ 5.1 with an estimated systematic error of approximately one flavor.

[ { "created": "Thu, 16 Aug 2012 09:54:33 GMT", "version": "v1" } ]

2012-11-08

[ [ "Janssen", "Lukas", "" ], [ "Gies", "Holger", "" ] ]

We investigate chiral symmetry breaking in the (2+1)-dimensional Thirring model as a function of the coupling as well as the Dirac flavor number Nf with the aid of the functional renormalization group. For small enough flavor number Nf < Nfc, the model exhibits a chiral quantum phase transition for sufficiently large coupling. We compute the critical exponents of this second order transition as well as the fermionic and bosonic mass spectrum inside the broken phase within a next-to-leading order derivative expansion. We also determine the quantum critical behavior of the many-flavor transition which arises due to a competition between vector and chiral-scalar channel and which is of second order as well. Due to the problem of competing channels, our results rely crucially on the RG technique of dynamical bosonization. For the critical flavor number, we find Nfc ~ 5.1 with an estimated systematic error of approximately one flavor.

7.696584

7.84496

8.198543

7.811072

7.454113

8.410889

7.667181

7.604069

7.48558

8.4212

7.177175

7.702047

7.456303

7.594978

7.788664

7.787161

7.580068

7.651764

7.315246

7.544893

7.399643

1911.07861

Adolfo del Campo

Adolfo del Campo, Tadashi Takayanagi

Decoherence in Conformal Field Theory

23pages, 6 figures

JHEP02(2020)170

10.1007/JHEP02(2020)170

YITP-19-106, IPMU 19-0167

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

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

Noise sources are ubiquitous in Nature and give rise to a description of quantum systems in terms of stochastic Hamiltonians. Decoherence dominates the noise-averaged dynamics and leads to dephasing and the decay of coherences in the eigenbasis of the fluctuating operator. For energy-diffusion processes stemming from fluctuations of the system Hamiltonian the characteristic decoherence time is shown to be proportional to the heat capacity. We analyze the decoherence dynamics of entangled CFTs and characterize the dynamics of the purity, and logarithmic negativity, that are shown to decay monotonically as a function of time. The converse is true for the quantum Renyi entropies. From the short-time asymptotics of the purity, the decoherence rate is identified and shown to be proportional to the central charge. The fixed point characterizing long times of evolution depends on the presence degeneracies in the energy spectrum. We show how information loss associated with decoherence can be attributed to its leakage to an auxiliary environment and discuss how gravity duals of decoherence dynamics in holographic CFTs looks like in AdS/CFT. We find that the inner horizon region of eternal AdS black hole is highly squeezed due to decoherence.

[ { "created": "Mon, 18 Nov 2019 19:00:02 GMT", "version": "v1" }, { "created": "Wed, 29 Jan 2020 14:33:07 GMT", "version": "v2" } ]

2020-03-02

[ [ "del Campo", "Adolfo", "" ], [ "Takayanagi", "Tadashi", "" ] ]

Noise sources are ubiquitous in Nature and give rise to a description of quantum systems in terms of stochastic Hamiltonians. Decoherence dominates the noise-averaged dynamics and leads to dephasing and the decay of coherences in the eigenbasis of the fluctuating operator. For energy-diffusion processes stemming from fluctuations of the system Hamiltonian the characteristic decoherence time is shown to be proportional to the heat capacity. We analyze the decoherence dynamics of entangled CFTs and characterize the dynamics of the purity, and logarithmic negativity, that are shown to decay monotonically as a function of time. The converse is true for the quantum Renyi entropies. From the short-time asymptotics of the purity, the decoherence rate is identified and shown to be proportional to the central charge. The fixed point characterizing long times of evolution depends on the presence degeneracies in the energy spectrum. We show how information loss associated with decoherence can be attributed to its leakage to an auxiliary environment and discuss how gravity duals of decoherence dynamics in holographic CFTs looks like in AdS/CFT. We find that the inner horizon region of eternal AdS black hole is highly squeezed due to decoherence.

11.401011

12.109903

13.218071

11.33586

13.144242

12.498087

12.628837

11.386561

11.786654

13.48647

11.416301

11.328202

11.90927

11.42141

11.46039

11.83513

11.589544

11.318098

11.18208

12.073781

11.287467

1711.11048

John Terning

Csaba Cs\'aki, Mario Martone, Yuri Shirman, and John Terning

Pre-ADS Superpotential from Confined Monopoles

26 pages, 2 figures

null

10.1007/JHEP05(2018)188

null

hep-th hep-ph

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

According to the standard lore only single monopoles contribute to the superpotential on the Coulomb branch of 3D ${\mathcal N}=2$ SUSY gauge theories. However we argue that multi-monopole configurations can also generate superpotential terms in the presence of squark VEVs on the mixed Higgs-Coulomb branch. The new ingredient is the confinement of monopoles via Nielsen-Olesen flux tubes. Such confined multi-monopoles will yield a pre-ADS superpotential which depends both on the local Coulomb moduli and matter superfields but has no fractional powers. Once the lifted moduli are integrated out the familiar ADS superpotential is obtained. Our results demonstrate the important role multi-monopoles can play in generating non-perturbative effects and also sheds light on the still somewhat mysterious dynamical origin of the general 4D ADS superpotential.

[ { "created": "Wed, 29 Nov 2017 19:00:08 GMT", "version": "v1" } ]

2018-07-04

[ [ "Csáki", "Csaba", "" ], [ "Martone", "Mario", "" ], [ "Shirman", "Yuri", "" ], [ "Terning", "John", "" ] ]

According to the standard lore only single monopoles contribute to the superpotential on the Coulomb branch of 3D ${\mathcal N}=2$ SUSY gauge theories. However we argue that multi-monopole configurations can also generate superpotential terms in the presence of squark VEVs on the mixed Higgs-Coulomb branch. The new ingredient is the confinement of monopoles via Nielsen-Olesen flux tubes. Such confined multi-monopoles will yield a pre-ADS superpotential which depends both on the local Coulomb moduli and matter superfields but has no fractional powers. Once the lifted moduli are integrated out the familiar ADS superpotential is obtained. Our results demonstrate the important role multi-monopoles can play in generating non-perturbative effects and also sheds light on the still somewhat mysterious dynamical origin of the general 4D ADS superpotential.

11.137133

10.284186

10.044572

9.922092

10.526207

10.098946

9.976572

9.62443

9.582648

10.529729

10.046334

9.899378

10.308421

9.925328

9.830441

9.959814

9.887669

10.036183

10.087652

10.191682

10.046147

2407.04128

Carlo Heissenberg

Francesco Alessio, Paolo Di Vecchia, Carlo Heissenberg

Logarithmic soft theorems and soft spectra

37 pages + references

null

hep-th gr-qc

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

Using universal predictions provided by classical soft theorems, we revisit the energy emission spectrum for gravitational scatterings of compact objects in the low-frequency expansion. We calculate this observable beyond the zero-frequency limit, retaining an exact dependence on the kinematics of the massive objects. This allows us to study independently the ultrarelativistic or massless limit, where we find agreement with the literature, and the small-deflection or post-Minkowskian (PM) limit, where we provide explicit results up to $\mathcal{O}(G^5)$. These confirm that the high-velocity limit of a given PM order is smoothly connected to the corresponding massless result whenever the latter is analytic in the Newton constant $G$. We also provide explicit expressions for the waveforms to order $\omega^{-1}$, $\log\omega$, $\omega(\log\omega)^2$ in the soft limit , $\omega\to0$, expanded up to sub-subleading PM order, as well as a conjecture for the logarithmic soft terms of the type $\omega^{n-1}(\log\omega)^{n}$ with $n\ge 3$.

[ { "created": "Thu, 4 Jul 2024 19:05:04 GMT", "version": "v1" } ]

2024-07-08

[ [ "Alessio", "Francesco", "" ], [ "Di Vecchia", "Paolo", "" ], [ "Heissenberg", "Carlo", "" ] ]

Using universal predictions provided by classical soft theorems, we revisit the energy emission spectrum for gravitational scatterings of compact objects in the low-frequency expansion. We calculate this observable beyond the zero-frequency limit, retaining an exact dependence on the kinematics of the massive objects. This allows us to study independently the ultrarelativistic or massless limit, where we find agreement with the literature, and the small-deflection or post-Minkowskian (PM) limit, where we provide explicit results up to $\mathcal{O}(G^5)$. These confirm that the high-velocity limit of a given PM order is smoothly connected to the corresponding massless result whenever the latter is analytic in the Newton constant $G$. We also provide explicit expressions for the waveforms to order $\omega^{-1}$, $\log\omega$, $\omega(\log\omega)^2$ in the soft limit , $\omega\to0$, expanded up to sub-subleading PM order, as well as a conjecture for the logarithmic soft terms of the type $\omega^{n-1}(\log\omega)^{n}$ with $n\ge 3$.

9.414432

9.839983

9.303391

8.777753

9.445005

9.352462

8.969291

8.809806

8.725711

9.552397

8.790838

8.954949

9.223654

8.517418

8.647358

8.730889

8.701285

8.926426

8.770015

9.205433

8.704995

2003.07243

Friedrich Sch\"oller

Symmetries and Asymptotically Flat Space

88 pages, 7 figures, includes the contents of arXiv:1701.06573 and arXiv:1711.02670

null

hep-th

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

The construction of a theory of quantum gravity is an outstanding problem that can benefit from better understanding the laws of nature that are expected to hold in regimes currently inaccessible to experiment. Such fundamental laws can be found by considering the classical counterparts of a quantum theory. For example, conservation laws in a quantum theory often stem from conservation laws of the corresponding classical theory. In order to construct such laws, this thesis is concerned with the interplay between symmetries and conservation laws of classical field theories and their application to asymptotically flat spacetimes. This work begins with an explanation of symmetries in field theories with a focus on variational symmetries and their associated conservation laws. Boundary conditions for general relativity are then formulated on three-dimensional asymptotically flat spacetimes at null infinity using the method of conformal completion. Conserved quantities related to asymptotic symmetry transformations are derived and their properties are studied. This is done in a manifestly coordinate independent manner. In a separate step a coordinate system is introduced, such that the results can be compared to existing literature. Next, asymptotically flat spacetimes which contain both future as well as past null infinity are considered. Asymptotic symmetries occurring at these disjoint regions of three-dimensional asymptotically flat spacetimes are linked and the corresponding conserved quantities are matched. Finally, it is shown how asymptotic symmetries lead to the notion of distinct Minkowski spaces that can be differentiated by conserved quantities.

[ { "created": "Mon, 16 Mar 2020 14:17:45 GMT", "version": "v1" } ]

2020-03-17

[ [ "Schöller", "Friedrich", "" ] ]

The construction of a theory of quantum gravity is an outstanding problem that can benefit from better understanding the laws of nature that are expected to hold in regimes currently inaccessible to experiment. Such fundamental laws can be found by considering the classical counterparts of a quantum theory. For example, conservation laws in a quantum theory often stem from conservation laws of the corresponding classical theory. In order to construct such laws, this thesis is concerned with the interplay between symmetries and conservation laws of classical field theories and their application to asymptotically flat spacetimes. This work begins with an explanation of symmetries in field theories with a focus on variational symmetries and their associated conservation laws. Boundary conditions for general relativity are then formulated on three-dimensional asymptotically flat spacetimes at null infinity using the method of conformal completion. Conserved quantities related to asymptotic symmetry transformations are derived and their properties are studied. This is done in a manifestly coordinate independent manner. In a separate step a coordinate system is introduced, such that the results can be compared to existing literature. Next, asymptotically flat spacetimes which contain both future as well as past null infinity are considered. Asymptotic symmetries occurring at these disjoint regions of three-dimensional asymptotically flat spacetimes are linked and the corresponding conserved quantities are matched. Finally, it is shown how asymptotic symmetries lead to the notion of distinct Minkowski spaces that can be differentiated by conserved quantities.

7.839517

8.875421

7.668082

7.452946

8.372955

7.930183

7.879087

7.632601

7.754757

7.788158

7.874817

7.756018

7.665439

7.473871

7.705937

7.582077

7.94551

7.887228

7.823759

7.85119

7.656899

2012.05246

Carlo Alberto Cremonini

R.Catenacci, C.A.Cremonini, P.A.Grassi, S.Noja

Cohomology of Lie Superalgebras: Forms, Integral Forms and Coset Superspaces

Added some references

null

hep-th math-ph math.MP

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

We study Chevalley-Eilenberg cohomology of physically relevant Lie superalgebras related to supersymmetric theories, providing explicit expressions for their cocycles in terms of their Maurer-Cartan forms. We then include integral forms in the picture by defining a notion of integral forms related to a Lie superalgebra. We develop a suitable generalization of Chevalley-Eilenberg cohomology extended to integral forms and we prove that it is isomorphic to the ordinary Chevalley-Eilenberg cohomology of the Lie superalgebra. Next we study equivariant Chevalley-Eilenberg cohomology for coset superspaces, which plays a crucial role in supergravity and superstring models. Again, we treat explicitly several examples, providing cocycles' expressions and revealing a characteristic infinite dimensional cohomology.

[ { "created": "Wed, 9 Dec 2020 19:00:02 GMT", "version": "v1" }, { "created": "Mon, 21 Dec 2020 11:53:59 GMT", "version": "v2" } ]

2020-12-22

[ [ "Catenacci", "R.", "" ], [ "Cremonini", "C. A.", "" ], [ "Grassi", "P. A.", "" ], [ "Noja", "S.", "" ] ]

We study Chevalley-Eilenberg cohomology of physically relevant Lie superalgebras related to supersymmetric theories, providing explicit expressions for their cocycles in terms of their Maurer-Cartan forms. We then include integral forms in the picture by defining a notion of integral forms related to a Lie superalgebra. We develop a suitable generalization of Chevalley-Eilenberg cohomology extended to integral forms and we prove that it is isomorphic to the ordinary Chevalley-Eilenberg cohomology of the Lie superalgebra. Next we study equivariant Chevalley-Eilenberg cohomology for coset superspaces, which plays a crucial role in supergravity and superstring models. Again, we treat explicitly several examples, providing cocycles' expressions and revealing a characteristic infinite dimensional cohomology.

6.712362

6.525038

7.264035

6.515593

6.563793

6.287127

6.416929

6.155838

6.377032

7.868338

6.517055

6.731305

6.806031

6.545285

6.516485

6.647017

6.654494

6.457367

6.744179

6.768254

6.690865

0801.4782

Junya Yagi

Meng-Chwan Tan, Junya Yagi

Chiral Algebras of (0,2) Sigma Models: Beyond Perturbation Theory

38 pages. Minor changes to Section 2.3 and corrections to Section 4.2. Final results unchanged. Typos corrected

Lett.Math.Phys.84:257-273,2008

10.1007/s11005-008-0249-4

RUNHETC-2008-01

hep-th math.DG math.QA

null

We explore the nonperturbative aspects of the chiral algebras of N = (0,2) sigma models, which perturbatively are intimately related to the theory of chiral differential operators (CDOs). The grading by charge and scaling dimension is anomalous if the first Chern class of the target space is nonzero. This has some nontrivial consequences for the chiral algebra. As an example, we study the case where the target space is CP^1, and show that worldsheet instantons trivialize the chiral algebra entirely. Consequently, supersymmetry is spontaneously broken in this model. We then turn to a closer look at the supersymmetry breaking from the viewpoint of Morse theory on loop space. We find that instantons interpolate between pairs of perturbative supersymmetric states with different fermionic numbers, hence lifting them out of the supersymmetric spectrum. Our results reveal that a "quantum" deformation of the geometry of the target space leads to a trivialization of the kernels of certain twisted Dirac operators on CP^1.

[ { "created": "Thu, 31 Jan 2008 20:33:35 GMT", "version": "v1" }, { "created": "Mon, 3 Mar 2008 07:50:56 GMT", "version": "v2" }, { "created": "Sat, 19 Apr 2008 02:59:43 GMT", "version": "v3" } ]

2008-11-26

[ [ "Tan", "Meng-Chwan", "" ], [ "Yagi", "Junya", "" ] ]

We explore the nonperturbative aspects of the chiral algebras of N = (0,2) sigma models, which perturbatively are intimately related to the theory of chiral differential operators (CDOs). The grading by charge and scaling dimension is anomalous if the first Chern class of the target space is nonzero. This has some nontrivial consequences for the chiral algebra. As an example, we study the case where the target space is CP^1, and show that worldsheet instantons trivialize the chiral algebra entirely. Consequently, supersymmetry is spontaneously broken in this model. We then turn to a closer look at the supersymmetry breaking from the viewpoint of Morse theory on loop space. We find that instantons interpolate between pairs of perturbative supersymmetric states with different fermionic numbers, hence lifting them out of the supersymmetric spectrum. Our results reveal that a "quantum" deformation of the geometry of the target space leads to a trivialization of the kernels of certain twisted Dirac operators on CP^1.

8.451022

8.440465

9.4541

8.344485

8.546828

9.134294

8.538761

8.260859

8.277752

9.753942

8.193269

8.239804

8.416032

8.470881

8.324299

8.490383

8.479201

8.53703

8.589036

8.703647

8.363656

1702.06989

Tadahito Nakajima

Tadahito Nakajima, Yukiko Ohtake, Kenji Suzuki

Baryon number current in holographic noncommutative QCD

25 pages, 8 figures. arXiv admin note: text overlap with arXiv:1310.0393, arXiv:1011.2906

Phys. Rev. D 96, 046018 (2017)

10.1103/PhysRevD.96.046018

null

hep-th

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

We consider the noncommutative deformation of the finite temperature holographic QCD (Sakai--Sugimoto) model in external electric and magnetic field and evaluate the effect of the noncommutaivity on the properties of the conductor-insulator phase transition associated with a baryon number current. Although the noncommutative deformation of the gauge theory does not change the phase structure with respect to the baryon number current, the transition temperature $T_{c}$, the transition electric field $e_{c}$ and magnetic field $b_{c}$ in the conductor-insurator phase transition depend on the noncommutativity parameter $\theta$. Namely, the noncommutativity of space coordinates has an influence on the shape of the phase diagram for the conductor-insurator phase transition. On the other hand, the allowed range of the noncommutativity parameter can be restricted by the reality condition of the constants of motion.

[ { "created": "Wed, 22 Feb 2017 20:08:29 GMT", "version": "v1" } ]

2017-09-06

[ [ "Nakajima", "Tadahito", "" ], [ "Ohtake", "Yukiko", "" ], [ "Suzuki", "Kenji", "" ] ]

We consider the noncommutative deformation of the finite temperature holographic QCD (Sakai--Sugimoto) model in external electric and magnetic field and evaluate the effect of the noncommutaivity on the properties of the conductor-insulator phase transition associated with a baryon number current. Although the noncommutative deformation of the gauge theory does not change the phase structure with respect to the baryon number current, the transition temperature $T_{c}$, the transition electric field $e_{c}$ and magnetic field $b_{c}$ in the conductor-insurator phase transition depend on the noncommutativity parameter $\theta$. Namely, the noncommutativity of space coordinates has an influence on the shape of the phase diagram for the conductor-insurator phase transition. On the other hand, the allowed range of the noncommutativity parameter can be restricted by the reality condition of the constants of motion.

6.477843

6.804071

6.786713

6.457438

6.604582

6.849535

6.820406

6.81295

6.493814

7.222257

6.020697

6.119929

6.297471

6.274888

6.175259

6.107446

6.085762

6.190778

6.184139

6.340992

6.160576

1001.4917

Goro Ishiki

Goro Ishiki, Shinji Shimasaki, Asato Tsuchiya

A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory

39 pages, 8 figures

Nucl.Phys.B834:423-452,2010

10.1016/j.nuclphysb.2010.02.026

KUNS-2251, HRI/ST/1001

hep-th

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

We show that the planar Chern-Simons (CS) theory on S^3 can be described by its dimensionally reduced model. This description of CS theory can be regarded as a novel large-N reduction for gauge theories on S^3. We find that if one expands the reduced model around a particular background consisting of multiple fuzzy spheres, the reduced model becomes equivalent to CS theory on S^3 in the planar limit. In fact, we show that the free energy and the vacuum expectation value of unknot Wilson loop in CS theory are reproduced by the reduced model in the large-N limit.

[ { "created": "Wed, 27 Jan 2010 11:47:48 GMT", "version": "v1" } ]

2010-05-27

[ [ "Ishiki", "Goro", "" ], [ "Shimasaki", "Shinji", "" ], [ "Tsuchiya", "Asato", "" ] ]

We show that the planar Chern-Simons (CS) theory on S^3 can be described by its dimensionally reduced model. This description of CS theory can be regarded as a novel large-N reduction for gauge theories on S^3. We find that if one expands the reduced model around a particular background consisting of multiple fuzzy spheres, the reduced model becomes equivalent to CS theory on S^3 in the planar limit. In fact, we show that the free energy and the vacuum expectation value of unknot Wilson loop in CS theory are reproduced by the reduced model in the large-N limit.

7.025018

5.534459

6.966388

5.78827

5.736553

5.781736

6.004524

5.95972

6.151909

7.74928

6.171554

6.361051

6.71796

6.496521

6.521378

6.204876

6.622012

6.564782

6.763143

6.684935

6.447757

hep-th/0608202

Marco Panero

Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere

1+36 pages, 18 figures; v2: 1+55 pages, 38 figures: added the study of the eigenvalue distribution, added figures, tables and references, typos corrected; v3: 1+20 pages, 10 eps figures, new results, plots and references added, technical details about the tests at small matrix size skipped, version published in JHEP

JHEP 0705:082,2007

10.1088/1126-6708/2007/05/082

DIAS-STP-06-11

hep-th astro-ph cond-mat.mes-hall gr-qc hep-lat math-ph math.MP

null

We address a detailed non-perturbative numerical study of the scalar theory on the fuzzy sphere. We use a novel algorithm which strongly reduces the correlation problems in the matrix update process, and allows the investigation of different regimes of the model in a precise and reliable way. We study the modes associated to different momenta and the role they play in the ``striped phase'', pointing out a consistent interpretation which is corroborated by our data, and which sheds further light on the results obtained in some previous works. Next, we test a quantitative, non-trivial theoretical prediction for this model, which has been formulated in the literature: The existence of an eigenvalue sector characterised by a precise probability density, and the emergence of the phase transition associated with the opening of a gap around the origin in the eigenvalue distribution. The theoretical predictions are confirmed by our numerical results. Finally, we propose a possible method to detect numerically the non-commutative anomaly predicted in a one-loop perturbative analysis of the model, which is expected to induce a distortion of the dispersion relation on the fuzzy sphere.

[ { "created": "Tue, 29 Aug 2006 19:22:20 GMT", "version": "v1" }, { "created": "Tue, 30 Jan 2007 23:33:48 GMT", "version": "v2" }, { "created": "Fri, 25 May 2007 14:23:47 GMT", "version": "v3" } ]

2010-10-27

[ [ "Panero", "Marco", "" ] ]

We address a detailed non-perturbative numerical study of the scalar theory on the fuzzy sphere. We use a novel algorithm which strongly reduces the correlation problems in the matrix update process, and allows the investigation of different regimes of the model in a precise and reliable way. We study the modes associated to different momenta and the role they play in the ``striped phase'', pointing out a consistent interpretation which is corroborated by our data, and which sheds further light on the results obtained in some previous works. Next, we test a quantitative, non-trivial theoretical prediction for this model, which has been formulated in the literature: The existence of an eigenvalue sector characterised by a precise probability density, and the emergence of the phase transition associated with the opening of a gap around the origin in the eigenvalue distribution. The theoretical predictions are confirmed by our numerical results. Finally, we propose a possible method to detect numerically the non-commutative anomaly predicted in a one-loop perturbative analysis of the model, which is expected to induce a distortion of the dispersion relation on the fuzzy sphere.

12.534951

12.654562

12.80486

12.322287

12.653971

12.915912

12.785378

12.707374

12.141109

13.134728

12.002436

11.917959

12.587894

12.419495

12.030053

12.282616

12.210694

12.201822

12.248793

12.77437

12.071832

1710.04398

Jorge Henrique Alvarenga Nogueira

J. H. Alvarenga Nogueira, Chueng-Ryong Ji, E. Ydrefors and T. Frederico

Color-suppression of non-planar diagrams in bosonic bound states

12 pages, 7 figures. To appear in Physics Letters B

null

10.1016/j.physletb.2017.12.032

null

hep-th hep-ph

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

We study the suppression of non-planar diagrams in a scalar QCD model of a meson system in $3+1$ space-time dimensions due to the inclusion of the color degrees of freedom. As a prototype of the color-singlet meson, we consider a flavor-nonsinglet system consisting of a scalar-quark and a scalar-antiquark with equal masses exchanging a scalar-gluon of a different mass, which is investigated within the framework of the homogeneous Bethe-Salpeter equation. The equation is solved by using the Nakanishi representation for the manifestly covariant bound-state amplitude and its light-front projection. The resulting non-singular integral equation is solved numerically. The damping of the impact of the cross-ladder kernel on the binding energies are studied in detail. The color-suppression of the cross-ladder effects on the light-front wave function and the elastic electromagnetic form factor are also discussed. As our results show, the suppression appears significantly large for $N_c=3$, which supports the use of rainbow-ladder truncations in practical nonperturbative calculations within QCD.

[ { "created": "Thu, 12 Oct 2017 07:55:20 GMT", "version": "v1" }, { "created": "Thu, 14 Dec 2017 14:22:37 GMT", "version": "v2" } ]

2018-01-17

[ [ "Nogueira", "J. H. Alvarenga", "" ], [ "Ji", "Chueng-Ryong", "" ], [ "Ydrefors", "E.", "" ], [ "Frederico", "T.", "" ] ]

We study the suppression of non-planar diagrams in a scalar QCD model of a meson system in $3+1$ space-time dimensions due to the inclusion of the color degrees of freedom. As a prototype of the color-singlet meson, we consider a flavor-nonsinglet system consisting of a scalar-quark and a scalar-antiquark with equal masses exchanging a scalar-gluon of a different mass, which is investigated within the framework of the homogeneous Bethe-Salpeter equation. The equation is solved by using the Nakanishi representation for the manifestly covariant bound-state amplitude and its light-front projection. The resulting non-singular integral equation is solved numerically. The damping of the impact of the cross-ladder kernel on the binding energies are studied in detail. The color-suppression of the cross-ladder effects on the light-front wave function and the elastic electromagnetic form factor are also discussed. As our results show, the suppression appears significantly large for $N_c=3$, which supports the use of rainbow-ladder truncations in practical nonperturbative calculations within QCD.

8.129049

9.690421

8.180114

8.437245

8.422651

9.835742

9.130401

9.315789

8.070669

8.382322

9.228795

8.420547

7.749054

8.059985

8.27613

8.31961

8.242335

8.504085

7.871166

8.11489

8.189174

hep-th/9112004

Tseytlin

A.A. Tseytlin

Dilaton, winding modes and cosmological solutions

30 p

Class.Quant.Grav.9:979-1000,1992

10.1088/0264-9381/9/4/013

null

hep-th

null

We review some formal aspects of cosmological solutions in closed string theory with duality symmetric ``matter'' following recent paper with C. Vafa (HUTP-91/A049). We consider two models : when the matter action is the classical action of the fields corresponding to momentum and winding modes and when the matter action is represented by the quantum vacuum energy of the string compactified on a torus. Assuming that the effective vacuum energy is positive one finds that in both cases the scale factor undergoes oscillations from maximal to minimal values with the amplitude of oscillations decreasing to zero or increasing to infinity depending on whether the effective coupling (dilaton field) decreases or increases with time. The contribution of the winding modes to the classical action prevents infinite expansion. Duality is ``spontaneously broken'' on a solution with generic initial conditions.

[ { "created": "Tue, 3 Dec 1991 20:11:00 GMT", "version": "v1" } ]

2010-04-06

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

We review some formal aspects of cosmological solutions in closed string theory with duality symmetric ``matter'' following recent paper with C. Vafa (HUTP-91/A049). We consider two models : when the matter action is the classical action of the fields corresponding to momentum and winding modes and when the matter action is represented by the quantum vacuum energy of the string compactified on a torus. Assuming that the effective vacuum energy is positive one finds that in both cases the scale factor undergoes oscillations from maximal to minimal values with the amplitude of oscillations decreasing to zero or increasing to infinity depending on whether the effective coupling (dilaton field) decreases or increases with time. The contribution of the winding modes to the classical action prevents infinite expansion. Duality is ``spontaneously broken'' on a solution with generic initial conditions.

12.926068

13.280435

12.895726

12.533095

13.091043

13.269919

12.901499

11.747295

11.471302

13.526088

11.984899

11.563522

12.113007

11.962616

12.610333

11.958664

12.209888

12.192164

12.244354

12.264345

11.593297

1103.5325

Masato Minamitsuji

Masato Minamitsuji and Kunihito Uzawa

Spectrum from the warped compactifications with the de Sitter universe

Journal version (JHEP)

JHEP07(2012)154

10.1007/JHEP07(2012)154

null

hep-th gr-qc

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

We discuss the spectrum of the tensor metric perturbations and the stability of warped compactifications with the de Sitter spacetime in the higher-dimensional gravity. The spacetime structure is given in terms of the warped product of the non-compact direction, the spherical internal dimensions and the four-dimensional de Sitter spacetime. To realize a finite bulk volume, we construct the brane world model, using the cut-copy-paste method. Then, we compactify the spherical directions on the brane. In any case, we show the existence of the massless zero mode and the mass gap of it with massive Kaluza-Klein modes. Although the brane involves the spherical dimensions, no light massive mode is excited. We also investigate the scalar perturbations, and show that the model is unstable due to the existence of a tachyonic bound state, which seems to have the universal negative mass square, irrespective of the number of spacetime dimensions.

[ { "created": "Mon, 28 Mar 2011 10:42:36 GMT", "version": "v1" }, { "created": "Tue, 31 Jul 2012 13:14:32 GMT", "version": "v2" } ]

2017-08-23

[ [ "Minamitsuji", "Masato", "" ], [ "Uzawa", "Kunihito", "" ] ]

We discuss the spectrum of the tensor metric perturbations and the stability of warped compactifications with the de Sitter spacetime in the higher-dimensional gravity. The spacetime structure is given in terms of the warped product of the non-compact direction, the spherical internal dimensions and the four-dimensional de Sitter spacetime. To realize a finite bulk volume, we construct the brane world model, using the cut-copy-paste method. Then, we compactify the spherical directions on the brane. In any case, we show the existence of the massless zero mode and the mass gap of it with massive Kaluza-Klein modes. Although the brane involves the spherical dimensions, no light massive mode is excited. We also investigate the scalar perturbations, and show that the model is unstable due to the existence of a tachyonic bound state, which seems to have the universal negative mass square, irrespective of the number of spacetime dimensions.

9.22368

9.83794

10.098108

9.146927

9.637771

9.58585

9.536832

9.355175

8.927981

9.694735

9.136119

9.255783

9.171984

8.984261

9.11854

9.032645

8.872378

9.294797

8.959374

9.00644

9.057281

2112.13433

Brian McPeak

The Entropy Shift and Extremality Shift at Zero Temperature

7 pages

null

10.1103/PhysRevD.105.L081901

null

hep-th gr-qc

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

There is a well-established connection between the higher-derivative corrections to the black hole entropy and the black hole extremality bound. The particular combination of EFT coefficients $c_i$ that controls the mass shift at fixed charge and temperature also controls the entropy shift at fixed charge and mass in the limit where the mass approaches the uncorrected value for the extremal mass. In this note, we use the classical entropy function formalism to examine the entropy corrections at exactly zero temperature, or at the corrected value for the extremal mass. We find that the zero-temperature entropy shift (a) is unrelated to the mass shift, (b) is $\mathcal{O}(c_i)$ in the EFT coefficients, rather than $\mathcal{O}(\sqrt{c_i})$, as is the constant-mass entropy shift, and (c) is negative in the example of the EFT arising at low energies from QED plus gravity.

[ { "created": "Sun, 26 Dec 2021 18:43:28 GMT", "version": "v1" } ]

2022-05-06

[ [ "McPeak", "Brian", "" ] ]

There is a well-established connection between the higher-derivative corrections to the black hole entropy and the black hole extremality bound. The particular combination of EFT coefficients $c_i$ that controls the mass shift at fixed charge and temperature also controls the entropy shift at fixed charge and mass in the limit where the mass approaches the uncorrected value for the extremal mass. In this note, we use the classical entropy function formalism to examine the entropy corrections at exactly zero temperature, or at the corrected value for the extremal mass. We find that the zero-temperature entropy shift (a) is unrelated to the mass shift, (b) is $\mathcal{O}(c_i)$ in the EFT coefficients, rather than $\mathcal{O}(\sqrt{c_i})$, as is the constant-mass entropy shift, and (c) is negative in the example of the EFT arising at low energies from QED plus gravity.

8.101361

8.565377

8.245509

7.684581

8.881049

9.130688

8.708813

8.132937

7.778071

9.377048

7.559952

7.883133

8.029142

7.672626

7.93686

7.895837

7.730776

7.86235

7.813093

8.068544

7.651948

1005.2453

Ken-Ji Hamada

Ken-ji Hamada

Vertex Operators in 4D Quantum Gravity Formulated as CFT

26 pages, rewrote review part concisely, added explanations

Found.Phys.41:863-882,2011

10.1007/s10701-010-9533-0

null

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

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

We study vertex operators in 4D conformal field theory derived from quantized gravity, whose dynamics is governed by the Wess-Zumino action by Riegert and the Weyl action. Conformal symmetry is equal to diffeomorphism symmetry in the ultraviolet limit, which mixes positive-metric and negative-metric modes of the gravitational field and thus these modes cannot be treated separately in physical operators. In this paper, we construct gravitational vertex operators such as the Ricci scalar, defined as space-time volume integrals of them are invariant under conformal transformations. Short distance singularities of these operator products are computed and it is shown that their coefficients have physically correct sign. Furthermore, we show that conformal algebra holds even in the system perturbed by the cosmological constant vertex operator as in the case of the Liouville theory shown by Curtright and Thorn.

[ { "created": "Fri, 14 May 2010 04:30:29 GMT", "version": "v1" }, { "created": "Wed, 12 Jan 2011 02:27:29 GMT", "version": "v2" } ]

2011-03-31

[ [ "Hamada", "Ken-ji", "" ] ]

We study vertex operators in 4D conformal field theory derived from quantized gravity, whose dynamics is governed by the Wess-Zumino action by Riegert and the Weyl action. Conformal symmetry is equal to diffeomorphism symmetry in the ultraviolet limit, which mixes positive-metric and negative-metric modes of the gravitational field and thus these modes cannot be treated separately in physical operators. In this paper, we construct gravitational vertex operators such as the Ricci scalar, defined as space-time volume integrals of them are invariant under conformal transformations. Short distance singularities of these operator products are computed and it is shown that their coefficients have physically correct sign. Furthermore, we show that conformal algebra holds even in the system perturbed by the cosmological constant vertex operator as in the case of the Liouville theory shown by Curtright and Thorn.

13.463018

13.558343

13.40737

12.868248

12.192616

13.061575

12.925266

12.840433

12.555445

15.393666

11.889306

12.19949

13.196983

12.460795

12.499335

12.05799

11.977137

12.318215

12.725468

12.725426

12.14404

hep-th/9904117

Anders Westerberg

Anders Westerberg and Niclas Wyllard

Supersymmetric brane actions from interpolating dualisations

33 pages, LaTeX2e; v2: minor changes, references added; v3: minor corrections

Nucl.Phys.B560:683-715,1999

10.1016/S0550-3213(99)00446-0

DAMTP-1999-48

hep-th

null

We explore the possibility of constructing p-brane world-volume actions with the requirements of kappa-symmetry and gauge invariance as the only input. In the process, we develop a general framework which leads to actions interpolating between Poincare-dual descriptions of the world-volume theories. The method does not require any restrictions on the on-shell background configurations or on the dimensions of the branes. After some preliminary studies of low-dimensional cases we apply the method to the type IIB five-branes and, in particular, construct a kappa-symmetric action for the type IIB NS5-brane with a world-volume field content reflecting the fact that the D1-, D3- and D5-branes can end on it.

[ { "created": "Fri, 16 Apr 1999 12:31:42 GMT", "version": "v1" }, { "created": "Tue, 27 Apr 1999 18:47:49 GMT", "version": "v2" }, { "created": "Wed, 11 Aug 1999 18:46:56 GMT", "version": "v3" } ]

2011-07-19

[ [ "Westerberg", "Anders", "" ], [ "Wyllard", "Niclas", "" ] ]

We explore the possibility of constructing p-brane world-volume actions with the requirements of kappa-symmetry and gauge invariance as the only input. In the process, we develop a general framework which leads to actions interpolating between Poincare-dual descriptions of the world-volume theories. The method does not require any restrictions on the on-shell background configurations or on the dimensions of the branes. After some preliminary studies of low-dimensional cases we apply the method to the type IIB five-branes and, in particular, construct a kappa-symmetric action for the type IIB NS5-brane with a world-volume field content reflecting the fact that the D1-, D3- and D5-branes can end on it.

8.45064

8.1162

10.187214

8.052571

8.666429

8.73029

8.699204

8.039378

8.014603

10.530806

8.082918

8.317315

9.600295

8.325891

8.309643

8.098386

8.41614

8.305861

8.280177

9.434692

8.01134

hep-th/9812102

Wifredo Garcia Fuertes

W. Garcia Fuertes (Universidad de Oviedo) and J. Mateos Guilarte (Universidad de Salamanca)

On the solitons of the Chern-Simons-Higgs model

27 pages, 3 figures, to appear in The European Physical Journal C

Eur.Phys.J.C9:167-179,1999

10.1007/s100529900015

FFUOV-98-17, FTUS preprint (Universidad de Salamanca)

hep-th

null

Several issues concerning the self-dual solutions of the Chern-Simons-Higgs model are addressed. The topology of the configuration space of the model is analysed when the space manifold is either the plane or an infinite cylinder. We study the local structure of the moduli space of self-dual solitons in the second case by means of an index computation. It is shown how to manage the non-integer contribution to the heat-kernel supertrace due to the non-compactness of the base space. A physical picture of the local coordinates parametrizing the non-topological soliton moduli space arises .

[ { "created": "Sat, 12 Dec 1998 19:32:35 GMT", "version": "v1" } ]

2011-09-13

[ [ "Fuertes", "W. Garcia", "", "Universidad de Oviedo" ], [ "Guilarte", "J. Mateos", "", "Universidad de Salamanca" ] ]

Several issues concerning the self-dual solutions of the Chern-Simons-Higgs model are addressed. The topology of the configuration space of the model is analysed when the space manifold is either the plane or an infinite cylinder. We study the local structure of the moduli space of self-dual solitons in the second case by means of an index computation. It is shown how to manage the non-integer contribution to the heat-kernel supertrace due to the non-compactness of the base space. A physical picture of the local coordinates parametrizing the non-topological soliton moduli space arises .

10.544359

10.063559

10.955352

9.790916

10.125961

10.585278

10.703071

10.136981

10.059025

12.281819

9.673524

9.833139

10.298053

9.861021

9.840431

10.168223

10.011916

10.184361

10.035634

10.720572

9.773347

hep-th/0508032

Joachim Brand

Bernard Piette, W.J. Zakrzewski, Joachim Brand

Scattering of topological solitons on holes and barriers

11 pages, corrected value of the critical velocity, to appear in J. Phys. A: Mathematical and General

J.Phys. A38 (2005) 10403-10412

10.1088/0305-4470/38/48/011

null

hep-th cond-mat.other nlin.PS

null

We study the scattering properties of topological solitons on obstructions in the form of holes and barriers. We use the 'new baby Skyrme' model in (2+1) dimensions and we model the obstructions by making the coefficient of the baby skyrme model potential - position dependent. We find that that the barrier leads to the repulsion of the solitons (for low velocities) or their complete transmission (at higher velocities) with the process being essentially elastic. The hole case is different; for small velocities the solitons are trapped while at higher velocities they are transmitted with a loss of energy. We present some comments explaining the observed behaviour.

[ { "created": "Thu, 4 Aug 2005 22:10:11 GMT", "version": "v1" }, { "created": "Fri, 14 Oct 2005 15:42:41 GMT", "version": "v2" } ]

2007-05-23

[ [ "Piette", "Bernard", "" ], [ "Zakrzewski", "W. J.", "" ], [ "Brand", "Joachim", "" ] ]

We study the scattering properties of topological solitons on obstructions in the form of holes and barriers. We use the 'new baby Skyrme' model in (2+1) dimensions and we model the obstructions by making the coefficient of the baby skyrme model potential - position dependent. We find that that the barrier leads to the repulsion of the solitons (for low velocities) or their complete transmission (at higher velocities) with the process being essentially elastic. The hole case is different; for small velocities the solitons are trapped while at higher velocities they are transmitted with a loss of energy. We present some comments explaining the observed behaviour.

10.631968

10.18922

11.451247

10.319373

10.459765

10.671055

10.96182

10.637268

10.640111

11.27328

9.769857

10.353196

10.201308

10.000596

10.551169

10.14282

10.408805

10.293498

9.954278

10.21888

10.011509

hep-th/0105320

Rainer Dick

Brane worlds

25 pages

Class.Quant.Grav.18:R1-R24,2001

10.1088/0264-9381/18/17/201

null

hep-th

null

This is an introductory review of gravity on branes with an emphasis on codimension 1 models. However, for a new result it is also pointed out that the cosmological evolution of the 3-brane in the model of Dvali, Gabadadze and Porrati may follow the standard Friedmann equation. Contents: 1. Introduction 2. Conventions 3. The Lanczos-Israel matching conditions 4. The action principle with codimension 1 hypersurfaces: Need for the Gibbons-Hawking term 5. The Newtonian limit on thin branes 6. A remark on black holes in the model of Dvali, Gabadadze and Porrati 7. The cosmology of codimension 1 brane worlds

[ { "created": "Thu, 31 May 2001 20:02:27 GMT", "version": "v1" } ]

2010-04-06

[ [ "Dick", "Rainer", "" ] ]

This is an introductory review of gravity on branes with an emphasis on codimension 1 models. However, for a new result it is also pointed out that the cosmological evolution of the 3-brane in the model of Dvali, Gabadadze and Porrati may follow the standard Friedmann equation. Contents: 1. Introduction 2. Conventions 3. The Lanczos-Israel matching conditions 4. The action principle with codimension 1 hypersurfaces: Need for the Gibbons-Hawking term 5. The Newtonian limit on thin branes 6. A remark on black holes in the model of Dvali, Gabadadze and Porrati 7. The cosmology of codimension 1 brane worlds

6.462855

6.274825

6.312788

5.858231

6.756633

6.733783

6.114429

6.052089

6.190563

6.903516

6.161437

5.967281

6.204447

5.950843

5.986312

6.182318

6.08755

5.910813

5.854672

6.142747

6.14084

0711.0798

Rudnei O. Ramos

Rudnei O. Ramos and J. F. Medeiros Neto

Vortex Condensation in the Dual Chern-Simons Higgs Model

9 pages. 1 eps figure. Corrections made and references added

Phys.Lett.B666:496-501,2008

10.1016/j.physletb.2008.07.097

null

hep-th cond-mat.mes-hall hep-ph

null

The contribution of nontrivial vacuum (topological) excitations, more specifically vortex configurations of the self-dual Chern-Simons-Higgs model, to the functional partition function is considered. By using a duality transformation, we arrive at a representation of the partition function in terms of which explicit vortex degrees of freedom are coupled to a dual gauge field. By matching the obtained action to a field theory for the vortices, the physical properties of the model in the presence of vortex excitations are then studied. In terms of this field theory for vortices in the self-dual Chern-Simons Higgs model, we determine the location of the critical value for the Chern-Simons parameter below which vortex condensation can happen in the system. The effects of self-energy quantum corrections to the vortex field are also considered.

[ { "created": "Tue, 6 Nov 2007 13:30:24 GMT", "version": "v1" }, { "created": "Sat, 26 Apr 2008 20:16:51 GMT", "version": "v2" } ]

2008-11-07

[ [ "Ramos", "Rudnei O.", "" ], [ "Neto", "J. F. Medeiros", "" ] ]

The contribution of nontrivial vacuum (topological) excitations, more specifically vortex configurations of the self-dual Chern-Simons-Higgs model, to the functional partition function is considered. By using a duality transformation, we arrive at a representation of the partition function in terms of which explicit vortex degrees of freedom are coupled to a dual gauge field. By matching the obtained action to a field theory for the vortices, the physical properties of the model in the presence of vortex excitations are then studied. In terms of this field theory for vortices in the self-dual Chern-Simons Higgs model, we determine the location of the critical value for the Chern-Simons parameter below which vortex condensation can happen in the system. The effects of self-energy quantum corrections to the vortex field are also considered.

8.356812

8.023943

8.81352

8.000013

8.255638

8.299509

7.962783

8.032512

7.990243

9.221222

7.910883

8.025265

8.119474

7.909886

7.82433

7.745269

8.05551

7.844484

7.755587

8.056859

7.820415

0912.1084

Takao Suyama

On Large N Solution of ABJM Theory

27 pages, 4 figures, (v2) references added, the coefficient of order lambda^11 term in Eq.(5.18) corrected, (v3) the estimate of the large lambda behavior corrected, (v4) published version, (v5) comments on revisions added, references added

Nucl.Phys.B834:50-76,2010

10.1016/j.nuclphysb.2010.03.011

SNU09-016

hep-th

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

We investigate the large N limit of the expectation value W(\lambda) of a BPS Wilson loop in ABJM theory, using an integral expression of the partition function obtained recently by Kapustin et.al. Certain saddle-point equations provide the correct perturbative expansion of W(\lambda). The large \lambda behavior of W(\lambda) is also obtained from the saddle-point equations. The result is compatible with AdS/CFT correspondence.

[ { "created": "Sun, 6 Dec 2009 07:50:37 GMT", "version": "v1" }, { "created": "Fri, 18 Dec 2009 03:09:34 GMT", "version": "v2" }, { "created": "Wed, 14 Apr 2010 02:44:09 GMT", "version": "v3" }, { "created": "Tue, 3 Aug 2010 02:55:01 GMT", "version": "v4" } ]

2010-08-04

[ [ "Suyama", "Takao", "" ] ]

We investigate the large N limit of the expectation value W(\lambda) of a BPS Wilson loop in ABJM theory, using an integral expression of the partition function obtained recently by Kapustin et.al. Certain saddle-point equations provide the correct perturbative expansion of W(\lambda). The large \lambda behavior of W(\lambda) is also obtained from the saddle-point equations. The result is compatible with AdS/CFT correspondence.

8.574889

7.131221

9.618633

6.927262

7.466614

7.10196

7.767573

6.936597

7.053545

8.59146

7.256642

7.92798

8.186172

7.360448

7.458433

7.702019

7.392739

7.905495

7.671481

8.742346

7.801264

hep-th/9604067

Yoshiyuki Watabiki

J. Ambjorn (Niels Bohr Institute) and Y. Watabiki (Tokyo Institute of Technology)

Non-critical string field theory for 2d quantum gravity coupled to (p,q)--conformal fields

LaTeX, 30 pages, 6 figures

Int.J.Mod.Phys. A12 (1997) 4257-4289

10.1142/S0217751X97002322

NBI-HE-96-17, TIT/HEP--327

hep-th

null

We propose a non-critical string field theory for $2d$ quantum gravity coupled to ($p$,$q$) conformal fields. The Hamiltonian is described by the generators of the $W_p$ algebra, and the Schwinger-Dyson equation is equivalent to a vacuum condition imposed on the generators of $W_p$ algebra.

[ { "created": "Fri, 12 Apr 1996 11:29:07 GMT", "version": "v1" } ]

2009-10-30

[ [ "Ambjorn", "J.", "", "Niels Bohr Institute" ], [ "Watabiki", "Y.", "", "Tokyo Institute of\n Technology" ] ]

We propose a non-critical string field theory for $2d$ quantum gravity coupled to ($p$,$q$) conformal fields. The Hamiltonian is described by the generators of the $W_p$ algebra, and the Schwinger-Dyson equation is equivalent to a vacuum condition imposed on the generators of $W_p$ algebra.

10.045722

7.503384

10.451144

7.780569

7.291862

7.337166

8.086201

6.949986

7.692269

10.422371

7.466895

7.625713

9.240455

8.235373

7.901811

7.68566

7.833467

7.948398

7.837233

8.867497

7.647912

2206.07891

Victoria Abakumova

V. A. Abakumova, Daniel Frolovsky, Hans-Christian Herbig, S. L. Lyakhovich

Gauge symmetry of linearised Nordstr\"om gravity and the dual spin two field theory

19 pages; minor corrections, reference added, to appear in European Physical Journal C

null

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

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

The field equations are proposed for the third rank tensor field with the hook Young diagram. The equations describe the irreducible spin two massless representation in any $d\geq 3$. The starting point of the construction is the linearised system of Einstein equations which includes the Nordstr\"om equation. This equation, being considered irrespectively to the rest of the Einstein system, corresponds to the topological field theory. The general solution is a pure gauge, modulo topological modes which we neglect in this article. We find the sequence of the reducible gauge transformations for the linearised Nordstr\"om equation, with the hook tensor being the initial gauge symmetry parameter. By substituting the general solution of the Nordstr\"om equation into the rest of the Einstein's system, we arrive at the field equations for the hook tensor. The degree of freedom number count confirms, it is the spin two theory.

[ { "created": "Thu, 16 Jun 2022 02:42:47 GMT", "version": "v1" }, { "created": "Sun, 21 Aug 2022 01:20:40 GMT", "version": "v2" } ]

2022-08-23

[ [ "Abakumova", "V. A.", "" ], [ "Frolovsky", "Daniel", "" ], [ "Herbig", "Hans-Christian", "" ], [ "Lyakhovich", "S. L.", "" ] ]

The field equations are proposed for the third rank tensor field with the hook Young diagram. The equations describe the irreducible spin two massless representation in any $d\geq 3$. The starting point of the construction is the linearised system of Einstein equations which includes the Nordstr\"om equation. This equation, being considered irrespectively to the rest of the Einstein system, corresponds to the topological field theory. The general solution is a pure gauge, modulo topological modes which we neglect in this article. We find the sequence of the reducible gauge transformations for the linearised Nordstr\"om equation, with the hook tensor being the initial gauge symmetry parameter. By substituting the general solution of the Nordstr\"om equation into the rest of the Einstein's system, we arrive at the field equations for the hook tensor. The degree of freedom number count confirms, it is the spin two theory.

11.360765

9.942445

11.369537

10.155739

10.91775

10.02879

10.322592

10.979945

9.545173

11.724067

9.672758

9.949392

10.620854

10.279068

10.281789

9.8714

9.927105

10.349355

9.874374

10.6772

9.66898

hep-th/0703119

Levent Akant

Equivariant Symplectic Geometry of Gauge Fixing in Yang-Mills Theory

46 pages, added remarks, typos and references corrected

J.Math.Phys.49:033512,2008

10.1063/1.2897049

null

hep-th

null

The Faddeev-Popov gauge fixing in Yang-Mills theory is interpreted as equivariant localization. It is shown that the Faddeev-Popov procedure amounts to a construction of a symplectic manifold with a Hamiltonian group action. The BRST cohomology is shown to be equivalent to the equivariant cohomology based on this symplectic manifold with Hamiltonian group action. The ghost operator is interpreted as a (pre)symplectic form and the gauge condition as the moment map corresponding to the Hamiltonian group action. This results in the identification of the gauge fixing action as a closed equivariant form, the sum of an equivariant symplectic form and a certain closed equivariant 4-form which ensures convergence. An almost complex structure compatible with the symplectic form is constructed. The equivariant localization principle is used to localize the path integrals onto the gauge slice. The Gribov problem is also discussed in the context of equivariant localization principle. As a simple illustration of the methods developed in the paper, the partition function of N=2 supersymmetric quantum mechanics is calculated by equivariant localization

[ { "created": "Tue, 13 Mar 2007 08:45:01 GMT", "version": "v1" }, { "created": "Wed, 28 Mar 2007 07:58:42 GMT", "version": "v2" }, { "created": "Tue, 15 Apr 2008 10:21:44 GMT", "version": "v3" } ]

2008-11-26

[ [ "Akant", "Levent", "" ] ]

The Faddeev-Popov gauge fixing in Yang-Mills theory is interpreted as equivariant localization. It is shown that the Faddeev-Popov procedure amounts to a construction of a symplectic manifold with a Hamiltonian group action. The BRST cohomology is shown to be equivalent to the equivariant cohomology based on this symplectic manifold with Hamiltonian group action. The ghost operator is interpreted as a (pre)symplectic form and the gauge condition as the moment map corresponding to the Hamiltonian group action. This results in the identification of the gauge fixing action as a closed equivariant form, the sum of an equivariant symplectic form and a certain closed equivariant 4-form which ensures convergence. An almost complex structure compatible with the symplectic form is constructed. The equivariant localization principle is used to localize the path integrals onto the gauge slice. The Gribov problem is also discussed in the context of equivariant localization principle. As a simple illustration of the methods developed in the paper, the partition function of N=2 supersymmetric quantum mechanics is calculated by equivariant localization

5.361038

5.744695

6.190648

5.542812

5.723637

5.621835

5.591448

5.50341

5.560727

6.565749

5.52741

5.366977

5.738314

5.287014

5.235193

5.234198

5.364835

5.288802

5.20199

5.480058

5.282494

hep-th/9611134

null

I.V. Lavrinenko, H. Lu and C.N. Pope

From Topology to Generalised Dimensional Reduction

Latex, 24 pages, no figures, typo corrected, reference added and discussion of duality extended

Nucl.Phys.B492:278-300,1997

10.1016/S0550-3213(97)00086-2

CTP TAMU-57/96

hep-th

null

In the usual procedure for toroidal Kaluza-Klein reduction, all the higher-dimensional fields are taken to be independent of the coordinates on the internal space. It has recently been observed that a generalisation of this procedure is possible, which gives rise to lower-dimensional ``massive'' supergravities. The generalised reduction involves allowing gauge potentials in the higher dimension to have an additional linear dependence on the toroidal coordinates. In this paper, we show that a much wider class of generalised reductions is possible, in which higher-dimensional potentials have additional terms involving differential forms on the internal manifold whose exterior derivatives yield representatives of certain of its cohomology classes. We consider various examples, including the generalised reduction of M-theory and type II strings on K3, Calabi-Yau and 7-dimensional Joyce manifolds. The resulting massive supergravities support domain-wall solutions that arise by the vertical dimensional reduction of higher-dimensional solitonic p-branes and intersecting p-branes.

[ { "created": "Mon, 18 Nov 1996 16:25:42 GMT", "version": "v1" }, { "created": "Tue, 19 Nov 1996 23:22:56 GMT", "version": "v2" } ]

2009-10-07

[ [ "Lavrinenko", "I. V.", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ] ]

In the usual procedure for toroidal Kaluza-Klein reduction, all the higher-dimensional fields are taken to be independent of the coordinates on the internal space. It has recently been observed that a generalisation of this procedure is possible, which gives rise to lower-dimensional ``massive'' supergravities. The generalised reduction involves allowing gauge potentials in the higher dimension to have an additional linear dependence on the toroidal coordinates. In this paper, we show that a much wider class of generalised reductions is possible, in which higher-dimensional potentials have additional terms involving differential forms on the internal manifold whose exterior derivatives yield representatives of certain of its cohomology classes. We consider various examples, including the generalised reduction of M-theory and type II strings on K3, Calabi-Yau and 7-dimensional Joyce manifolds. The resulting massive supergravities support domain-wall solutions that arise by the vertical dimensional reduction of higher-dimensional solitonic p-branes and intersecting p-branes.

7.41476

7.030841

7.767714

6.955045

7.328279

7.685955

6.776068

6.965869

6.967196

8.875516

7.15705

6.974448

7.677148

7.174147

7.279743

7.112597

7.176276

7.230726

7.296175

7.38576

7.291717

hep-th/0702221

Yu Nakayama

Black Hole - String Transition and Rolling D-brane

PhD thesis, 180 pages, v2: reference added

null

UT-07-09

hep-th

null

We investigate the black hole - string transition in the two-dimensional Lorentzian black hole system from the exact boundary states that describe the rolling D-brane falling down into the two-dimensional black hole. The black hole - string phase transition is one of the fundamental properties of the non-supersymmetric black holes in string theory, and we will reveal the nature of the phase transition from the exactly solvable world-sheet conformal field theory viewpoint. Since the two-dimensional Lorentzian black hole system (SL(2;R)_k/U(1) coset model at level k) typically appears as near-horizon geometries of various singularities such as NS5-branes in string theory, our results can be regarded as the probe of such singularities from the non-supersymmetric probe rolling D-brane. The exact construction of boundary states for the rolling D0-brane falling down into the two-dimensional D-brane enables us to probe the phase transition at k=1 directly in the physical amplitudes. During the study, we uncover three fundamental questions in string theory as a consistent theory of quantum gravity: small charge limit v.s. large charge limit of non-supersymmetric quantum black holes, analyticity v.s. non-analyticity in physical amplitudes and physical observables, and unitarity v.s. open closed duality in time-dependent string backgrounds. This work is based on the PhD thesis submitted to Department of Physics, Faculty of Science, University of Tokyo, which was defended on January 2007.

[ { "created": "Wed, 28 Feb 2007 03:40:26 GMT", "version": "v1" }, { "created": "Tue, 5 Jun 2007 12:09:26 GMT", "version": "v2" } ]

2007-06-13

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

We investigate the black hole - string transition in the two-dimensional Lorentzian black hole system from the exact boundary states that describe the rolling D-brane falling down into the two-dimensional black hole. The black hole - string phase transition is one of the fundamental properties of the non-supersymmetric black holes in string theory, and we will reveal the nature of the phase transition from the exactly solvable world-sheet conformal field theory viewpoint. Since the two-dimensional Lorentzian black hole system (SL(2;R)_k/U(1) coset model at level k) typically appears as near-horizon geometries of various singularities such as NS5-branes in string theory, our results can be regarded as the probe of such singularities from the non-supersymmetric probe rolling D-brane. The exact construction of boundary states for the rolling D0-brane falling down into the two-dimensional D-brane enables us to probe the phase transition at k=1 directly in the physical amplitudes. During the study, we uncover three fundamental questions in string theory as a consistent theory of quantum gravity: small charge limit v.s. large charge limit of non-supersymmetric quantum black holes, analyticity v.s. non-analyticity in physical amplitudes and physical observables, and unitarity v.s. open closed duality in time-dependent string backgrounds. This work is based on the PhD thesis submitted to Department of Physics, Faculty of Science, University of Tokyo, which was defended on January 2007.

8.014064

8.343483

9.803558

7.615087

8.009655

7.739958

7.931056

7.061014

7.164546

9.691041

7.55232

7.793828

8.496653

7.702335

7.75085

7.731675

7.557917

8.111389

7.600791

8.170462

7.540686

1103.0152

George Moutsopoulos

George Moutsopoulos, Patricia Ritter

An Exact Conformal Symmetry Ansatz on Kaluza-Klein Reduced TMG

20 pages, 1 figure, v3: postprint, added one ref

General Relativity and Gravitation Vol.43, 11 (2011) 3047-3063

10.1007/s10714-011-1221-7

null

hep-th gr-qc

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

Using a Kaluza-Klein dimensional reduction, and further imposing a conformal Killing symmetry on the reduced metric generated by the dilaton, we show an Ansatz that yields many of the known stationary axisymmetric solutions to TMG.

[ { "created": "Tue, 1 Mar 2011 12:31:34 GMT", "version": "v1" }, { "created": "Thu, 30 Jun 2011 13:03:23 GMT", "version": "v2" }, { "created": "Tue, 18 Oct 2011 05:02:43 GMT", "version": "v3" } ]

2011-10-19

[ [ "Moutsopoulos", "George", "" ], [ "Ritter", "Patricia", "" ] ]

Using a Kaluza-Klein dimensional reduction, and further imposing a conformal Killing symmetry on the reduced metric generated by the dilaton, we show an Ansatz that yields many of the known stationary axisymmetric solutions to TMG.

19.463058

16.111237

16.405293

16.724018

17.51269

18.342674

15.246817

15.9141

15.30913

16.952507

16.550547

15.95486

16.343958

16.37991

16.475744

16.945532

16.277115

15.239055

17.589216

17.389601

16.488932

1507.00463

Qingjun Jin

Qingjun Jin and Bo Feng

Boundary Operators of BCFW Recursion Relation

20 pages, 2 figures

null

10.1007/JHEP04(2016)123

null

hep-th

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

We show that boundary contributions of BCFW recursions can be interpreted as the form factors of some composite operators which we call 'boundary operators'. The boundary operators can be extracted from the operator product expansion of deformed fields. We also present an algorithm to compute the boundary operators using path integral.

[ { "created": "Thu, 2 Jul 2015 08:19:21 GMT", "version": "v1" }, { "created": "Sun, 20 Dec 2015 08:26:36 GMT", "version": "v2" }, { "created": "Sun, 13 Mar 2016 13:47:58 GMT", "version": "v3" } ]

2016-05-25

[ [ "Jin", "Qingjun", "" ], [ "Feng", "Bo", "" ] ]

We show that boundary contributions of BCFW recursions can be interpreted as the form factors of some composite operators which we call 'boundary operators'. The boundary operators can be extracted from the operator product expansion of deformed fields. We also present an algorithm to compute the boundary operators using path integral.

12.210649

10.028992

10.606425

10.306634

9.85405

10.479802

8.950835

10.016393

10.516855

10.604928

9.673132

10.861381

11.381912

10.196772

10.823146

9.871434

10.202374

10.597353

10.97652

10.364288

10.193955

hep-th/0206192

Jens Hoppe

Membranes and Matrix Models

null

hep-th

null

Section I contains introductory remarks about surface motions. Section II gives a detailed derivation of $H=-\Delta-Tr\sum_{i<j}[X_i,X_j]^2$ as describing a quantized discrete analogue of relativistically invariant membrane dynamics. Section III concerns the question of zero-energy bound-states in SU(N)-invariant supersymmetric matrix models. Section IV discusses the space of solutions of some differential matrix equations on $(-\infty,+\infty)$, interpolating between different representations of $su(2)$. Some exercises are added, and one remark/conjecture concerning 5-commutators.

[ { "created": "Thu, 20 Jun 2002 15:42:16 GMT", "version": "v1" } ]

2007-05-23

[ [ "Hoppe", "Jens", "" ] ]

Section I contains introductory remarks about surface motions. Section II gives a detailed derivation of $H=-\Delta-Tr\sum_{i<j}[X_i,X_j]^2$ as describing a quantized discrete analogue of relativistically invariant membrane dynamics. Section III concerns the question of zero-energy bound-states in SU(N)-invariant supersymmetric matrix models. Section IV discusses the space of solutions of some differential matrix equations on $(-\infty,+\infty)$, interpolating between different representations of $su(2)$. Some exercises are added, and one remark/conjecture concerning 5-commutators.

20.999109

20.789005

23.835674

19.849346

23.837793

21.335642

23.538454

20.069746

20.492207

25.799572

19.911734

18.665173

20.343134

18.690546

18.067991

18.793713

18.60545

18.656862

18.710266

20.608187

18.113628

hep-th/9410232

null

Dao Vong Duc

generalised q-deformed oscillators and their statistics

9 pages,no figure, (visit2@lapphp0.in2p3.fr), ENSLAPP-A-494/94

null

hep-th

null

We consider a version of generalised $q$-oscillators and some of their applications. The generalisation includes also "quons" of infinite statistics and deformed oscillators of parastatistics. The statistical distributions for different $q$-oscillators are derived for their corresponding Fock space representations. The deformed Virasoro algebra and SU(2) algebra are also treated.

[ { "created": "Mon, 31 Oct 1994 14:12:35 GMT", "version": "v1" } ]

2007-05-23

[ [ "Duc", "Dao Vong", "" ] ]

We consider a version of generalised $q$-oscillators and some of their applications. The generalisation includes also "quons" of infinite statistics and deformed oscillators of parastatistics. The statistical distributions for different $q$-oscillators are derived for their corresponding Fock space representations. The deformed Virasoro algebra and SU(2) algebra are also treated.

12.054957

12.115374

11.109614

10.369286

10.174745

10.610735

11.637409

11.579198

10.163393

12.869077

10.218501

10.645339

11.092424

10.609896

10.858488

10.67311

10.998613

10.74304

10.504128

11.239087

10.186936

hep-th/0411086

Karl-Henning Rehren

QFT Lectures on AdS-CFT

24 pages, Lectures at Zlatibor Summer School on Modern Mathematical Physics, August 2004

Proceedings of the 3rd Summer School in Modern Mathematical Physics, Institue of Physics, Belgrade 2005, pp. 95-118.

null

in: SFIN XVIII Ser. A, eds. B. Dragovich et al., A1 (2005) 95-118, Institute of Physics, Belgrade

hep-th

null

It is discussed to which extent the AdS-CFT correspondence is compatible with fundamental requirements in quantum field theory.

[ { "created": "Mon, 8 Nov 2004 13:01:11 GMT", "version": "v1" } ]

2007-05-23

[ [ "Rehren", "Karl-Henning", "" ] ]

It is discussed to which extent the AdS-CFT correspondence is compatible with fundamental requirements in quantum field theory.

19.738224

10.59287

10.699337

11.915667

10.953151

11.37196

11.254779

10.605974

10.165557

12.519533

11.123433

11.676366

13.599057

12.680675

12.51131

11.983918

12.076977

13.529516

12.700529

13.066381

11.646074

hep-th/9303118

null

W.M.Koo and H.Saleur

Fused Potts Models

60 pages and 39 figures, uuencoded, tar, compressed Latex files, YCTP-P44-92,USC-93-013

Int.J.Mod.Phys.A8:5165-5234,1993

10.1142/S0217751X93002071

null

hep-th

null

Generalizing the mapping between the Potts model with nearest neighbor interaction and six vertex model, we build a family of "fused Potts models" related to the spin $k/2$ ${\rm U}_{q}{\rm su}(2)$ invariant vertex model and quantum spin chain. These Potts model have still variables taking values $1,\ldots,Q$ ($\sqrt{Q}=q+q^{-1}$) but they have a set of complicated multi spin interactions. The general technique to compute these interactions, the resulting lattice geometry, symmetries, and the detailed examples of $k=2,3$ are given. For $Q>4$ spontaneous magnetizations are computed on the integrable first order phase transition line, generalizing Baxter's results for $k=1$. For $Q\leq 4$, we discuss the full phase diagram of the spin one ($k=2$) anisotropic and ${\rm U}_{q}{\rm su}(2)$ invariant quantum spin chain (it reduces in the limit $Q=4$ ($q=1$) to the much studied phase diagram of the isotropic spin one quantum chain). Several critical lines and massless phases are exhibited. The appropriate generalization of the Valence Bond State method of Affleck et al. is worked out.

[ { "created": "Sat, 20 Mar 1993 20:55:49 GMT", "version": "v1" } ]

2011-07-19

[ [ "Koo", "W. M.", "" ], [ "Saleur", "H.", "" ] ]

Generalizing the mapping between the Potts model with nearest neighbor interaction and six vertex model, we build a family of "fused Potts models" related to the spin $k/2$ ${\rm U}_{q}{\rm su}(2)$ invariant vertex model and quantum spin chain. These Potts model have still variables taking values $1,\ldots,Q$ ($\sqrt{Q}=q+q^{-1}$) but they have a set of complicated multi spin interactions. The general technique to compute these interactions, the resulting lattice geometry, symmetries, and the detailed examples of $k=2,3$ are given. For $Q>4$ spontaneous magnetizations are computed on the integrable first order phase transition line, generalizing Baxter's results for $k=1$. For $Q\leq 4$, we discuss the full phase diagram of the spin one ($k=2$) anisotropic and ${\rm U}_{q}{\rm su}(2)$ invariant quantum spin chain (it reduces in the limit $Q=4$ ($q=1$) to the much studied phase diagram of the isotropic spin one quantum chain). Several critical lines and massless phases are exhibited. The appropriate generalization of the Valence Bond State method of Affleck et al. is worked out.

10.133228

11.148664

11.199402

10.007322

10.916933

11.949499

11.62294

11.025057

10.795457

11.983918

10.08578

9.512359

10.209348

9.594838

9.852001

9.690516

9.864767

9.615758

9.554321

10.101912

9.527195

hep-th/0309084

Romuald A. Janik

The Dijkgraaf-Vafa correspondence for theories with fundamental matter fields

13 pages. Talk presented at the Workshop on `Random Geometry', Krakow, 15-17 May 2003; v2: typos corrected

Acta Phys.Polon. B34 (2003) 4879-4890

null

hep-th hep-ph

null

In this talk I describe some applications of random matrix models to the study of N=1 supersymmetric Yang-Mills theories with matter fields in the fundamental representation. I review the derivation of the Veneziano-Yankielowicz-Taylor/Affleck-Dine-Seiberg superpotentials from constrained random matrix models (hep-th/0211082), a field theoretical justification of the logarithmic matter contribution to the Veneziano-Yankielowicz-Taylor superpotential (hep-th/0306242) and the random matrix based solution of the complete factorization problem of Seiberg-Witten curves for N=2 theories with fundamental matter (hep-th/0212212).

[ { "created": "Mon, 8 Sep 2003 14:59:31 GMT", "version": "v1" }, { "created": "Wed, 10 Sep 2003 12:37:51 GMT", "version": "v2" } ]

2007-05-23

[ [ "Janik", "Romuald A.", "" ] ]

In this talk I describe some applications of random matrix models to the study of N=1 supersymmetric Yang-Mills theories with matter fields in the fundamental representation. I review the derivation of the Veneziano-Yankielowicz-Taylor/Affleck-Dine-Seiberg superpotentials from constrained random matrix models (hep-th/0211082), a field theoretical justification of the logarithmic matter contribution to the Veneziano-Yankielowicz-Taylor superpotential (hep-th/0306242) and the random matrix based solution of the complete factorization problem of Seiberg-Witten curves for N=2 theories with fundamental matter (hep-th/0212212).

6.878608

6.205689

8.227363

6.382785

6.438431

5.616317

6.521641

6.160235

6.468899

8.974705

6.126418

5.991381

6.678471

6.430939

6.111393

6.354714

6.556778

6.38925

6.515789

6.803372

6.264707

1508.04460

Toby Wiseman

Andrew Hickling and Toby Wiseman

Vacuum energy is non-positive for (2+1)-dimensional holographic CFTs

7 pages. v2: typos corrected, references added. Alternate derivation of our result suggested by J. Maldacena using a geometric bound on renormalised volume is sketched

null

10.1088/0264-9381/33/4/045009

null

hep-th gr-qc

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

We consider a (2+1)-dimensional holographic CFT on a static spacetime with globally timelike Killing vector. Taking the spatial geometry to be closed but otherwise general we expect a non-trivial vacuum energy at zero temperature due to the Casimir effect. We assume a thermal state has an AdS/CFT dual description as a static smooth solution to gravity with a negative cosmological constant, which ends only on the conformal boundary or horizons. A bulk geometric argument then provides an upper bound on the ratio of CFT free energy to temperature. Considering the zero temperature limit of this bound implies the vacuum energy of the CFT is non-positive. Furthermore the vacuum energy must be negative unless the boundary metric is locally conformal to a product of time with a constant curvature space. We emphasise the argument does not require the zero temperature bulk geometry to be smooth, but only that singularities are `good' so are hidden by horizons at finite temperature.

[ { "created": "Tue, 18 Aug 2015 21:01:55 GMT", "version": "v1" }, { "created": "Tue, 22 Sep 2015 14:41:05 GMT", "version": "v2" } ]

2016-02-03

[ [ "Hickling", "Andrew", "" ], [ "Wiseman", "Toby", "" ] ]

We consider a (2+1)-dimensional holographic CFT on a static spacetime with globally timelike Killing vector. Taking the spatial geometry to be closed but otherwise general we expect a non-trivial vacuum energy at zero temperature due to the Casimir effect. We assume a thermal state has an AdS/CFT dual description as a static smooth solution to gravity with a negative cosmological constant, which ends only on the conformal boundary or horizons. A bulk geometric argument then provides an upper bound on the ratio of CFT free energy to temperature. Considering the zero temperature limit of this bound implies the vacuum energy of the CFT is non-positive. Furthermore the vacuum energy must be negative unless the boundary metric is locally conformal to a product of time with a constant curvature space. We emphasise the argument does not require the zero temperature bulk geometry to be smooth, but only that singularities are `good' so are hidden by horizons at finite temperature.

10.054764

10.590936

11.688532

10.382315

10.51854

9.774766

10.143686

9.721439

10.299388

12.566308

9.963057

10.139904

10.276938

9.658572

10.020408

10.01307

10.20321

9.990961

9.630359

10.441909

9.925991

2405.15594

Timothy Adamo

Tim Adamo, Wei Bu, Piotr Tourkine, Bin Zhu

Eikonal amplitudes on the celestial sphere

38 pages + appendix and references, 6 figures. v2: references added

null

hep-th gr-qc

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

Celestial scattering amplitudes for massless particles are Mellin transforms of momentum-space scattering amplitudes with respect to the energies of the external particles, and behave as conformal correlators on the celestial sphere. However, there are few explicit cases of well-defined celestial amplitudes, particularly for gravitational theories: the mixing between low- and high-energy scales induced by the Mellin transform generically yields divergent integrals. In this paper, we argue that the most natural object to consider is the gravitational amplitude dressed by an oscillating phase arising from semi-classical effects known as eikonal exponentiation. This leads to gravitational celestial amplitudes which are analytic, apart from a set of poles at integer negative conformal dimensions, whose degree and residues we characterize. We also study the large conformal dimension limits, and provide an asymptotic series representation for these celestial eikonal amplitudes. Our investigation covers two different frameworks, related by eikonal exponentiation: $2\to2$ scattering of scalars in flat spacetime and $1\to1$ scattering of a probe scalar particle in a curved, stationary spacetime. These provide data which any putative celestial dual for Minkowski, shockwave or black hole spacetimes must reproduce. We also derive dispersion and monodromy relations for these celestial amplitudes and discuss Carrollian eikonal-probe amplitudes in curved spacetimes.

[ { "created": "Fri, 24 May 2024 14:26:15 GMT", "version": "v1" }, { "created": "Wed, 19 Jun 2024 08:34:36 GMT", "version": "v2" } ]

2024-06-21

[ [ "Adamo", "Tim", "" ], [ "Bu", "Wei", "" ], [ "Tourkine", "Piotr", "" ], [ "Zhu", "Bin", "" ] ]

Celestial scattering amplitudes for massless particles are Mellin transforms of momentum-space scattering amplitudes with respect to the energies of the external particles, and behave as conformal correlators on the celestial sphere. However, there are few explicit cases of well-defined celestial amplitudes, particularly for gravitational theories: the mixing between low- and high-energy scales induced by the Mellin transform generically yields divergent integrals. In this paper, we argue that the most natural object to consider is the gravitational amplitude dressed by an oscillating phase arising from semi-classical effects known as eikonal exponentiation. This leads to gravitational celestial amplitudes which are analytic, apart from a set of poles at integer negative conformal dimensions, whose degree and residues we characterize. We also study the large conformal dimension limits, and provide an asymptotic series representation for these celestial eikonal amplitudes. Our investigation covers two different frameworks, related by eikonal exponentiation: $2\to2$ scattering of scalars in flat spacetime and $1\to1$ scattering of a probe scalar particle in a curved, stationary spacetime. These provide data which any putative celestial dual for Minkowski, shockwave or black hole spacetimes must reproduce. We also derive dispersion and monodromy relations for these celestial amplitudes and discuss Carrollian eikonal-probe amplitudes in curved spacetimes.

10.709814

10.132927

11.701591

9.783556

10.310227

10.600636

10.709373

9.603022

10.053101

11.824826

9.49684

9.939291

10.577599

9.915908

9.851304

9.959052

9.997552

9.89059

9.847232

10.318417

9.749

hep-th/9611072

Tamiaki Yoneya

Miao LI and Tamiaki Yoneya

D-Particle Dynamics and The Space-Time Uncertainty Relation

12 pages, revtex, no figures, a minor misprint is corrected

Phys.Rev.Lett.78:1219-1222,1997

10.1103/PhysRevLett.78.1219

EFI-96-41, UT-KOMABA/96-22

hep-th

null

We argue that the space-time uncertainty relation of the form $\Delta X \Delta T \gtrsim \alpha'$ for the observability of the distances with respect to time, $\Delta T$, and space, $\Delta X$, is universally valid in string theory including D-branes. This relation has been previously proposed by one (T.Y.) of the present authors as a simple qualitative representation of the perturbative short distance structure of fundamental string theory. We show that the relation, combined with the usual quantum mechanical uncertainty principle, explains the key qualitative features of D-particle dynamics.

[ { "created": "Mon, 11 Nov 1996 08:54:25 GMT", "version": "v1" }, { "created": "Tue, 12 Nov 1996 11:55:33 GMT", "version": "v2" }, { "created": "Thu, 28 Nov 1996 06:04:38 GMT", "version": "v3" }, { "created": "Tue, 17 Dec 1996 08:03:01 GMT", "version": "v4" } ]

2008-11-26

[ [ "LI", "Miao", "" ], [ "Yoneya", "Tamiaki", "" ] ]

We argue that the space-time uncertainty relation of the form $\Delta X \Delta T \gtrsim \alpha'$ for the observability of the distances with respect to time, $\Delta T$, and space, $\Delta X$, is universally valid in string theory including D-branes. This relation has been previously proposed by one (T.Y.) of the present authors as a simple qualitative representation of the perturbative short distance structure of fundamental string theory. We show that the relation, combined with the usual quantum mechanical uncertainty principle, explains the key qualitative features of D-particle dynamics.

10.573411

10.10356

9.411385

9.376806

9.061712

9.313901

9.669782

9.728077

9.345963

10.601649

9.287657

9.582259

9.896425

9.213987

9.297248

9.458228

9.463421

9.484743

9.01031

9.63311

9.422632

2002.04925

Robert Brandenberger

Robert Brandenberger, Vahid Kamali and Rudnei O. Ramos

Strengthening the de Sitter swampland conjecture in warm inflation

7 pages

null

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

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

The "de Sitter constraint" on the space of effective scalar field theories consistent with superstring theory provides a lower bound on the slope of the potential of a scalar field which dominates the evolution of the Universe, e.g., a hypothetical inflaton field. Whereas models of single scalar field inflation with a canonically normalized field do not obey this constraint, it has been claimed recently in the literature that models of warm inflation can be made compatible with it in the case of large dissipation. The de Sitter constraint is known to be derived from entropy considerations. Since warm inflation necessary involves entropy production, it becomes necessary to determine how this entropy production will affect the constraints imposed by the swampland conditions. Here, we generalize these entropy considerations to the case of warm inflation and show that the condition on the slope of the potential remains essentially unchanged and is, hence, robust even in the warm inflation dynamics. We are then able to conclude that models of warm inflation indeed can be made consistent with the "swampland" criteria.

[ { "created": "Wed, 12 Feb 2020 11:26:39 GMT", "version": "v1" } ]

2020-02-13

[ [ "Brandenberger", "Robert", "" ], [ "Kamali", "Vahid", "" ], [ "Ramos", "Rudnei O.", "" ] ]

The "de Sitter constraint" on the space of effective scalar field theories consistent with superstring theory provides a lower bound on the slope of the potential of a scalar field which dominates the evolution of the Universe, e.g., a hypothetical inflaton field. Whereas models of single scalar field inflation with a canonically normalized field do not obey this constraint, it has been claimed recently in the literature that models of warm inflation can be made compatible with it in the case of large dissipation. The de Sitter constraint is known to be derived from entropy considerations. Since warm inflation necessary involves entropy production, it becomes necessary to determine how this entropy production will affect the constraints imposed by the swampland conditions. Here, we generalize these entropy considerations to the case of warm inflation and show that the condition on the slope of the potential remains essentially unchanged and is, hence, robust even in the warm inflation dynamics. We are then able to conclude that models of warm inflation indeed can be made consistent with the "swampland" criteria.

8.692092

9.058835

8.755688

8.534752

9.294347

8.803

9.304652

8.997591

8.744243

8.77048

8.98309

8.613465

8.156135

8.180657

8.463243

8.393586

8.648687

8.30803

8.3393

8.452964

8.530738

1403.6035

Luis Castro B

Luis B. Castro and Luiz P. de Oliveira

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

16 pages. arXiv admin note: substantial text overlap with arXiv:0905.2389

AdHEP 2014, Article ID 784072 (2014)

10.1155/2014/784072

null

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

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

We point out a misleading treatment in the recent literature regarding analytical solutions for nonminimal vector interaction for spin-one particles in the context of the Duffin-Kemmer-Petiau (DKP) formalism. In those papers, the authors use improperly the nonminimal vector interaction endangering in their main conclusions. We present a few properties of the nonminimal vector interactions and also present the correct equations to this problem. We show that the solution can be easily found by solving Schr\"{o}dinger-like equations. As an application of this procedure, we consider spin-one particles in presence of a nonminimal vector linear potential.

[ { "created": "Mon, 24 Mar 2014 16:49:50 GMT", "version": "v1" }, { "created": "Fri, 30 May 2014 18:31:12 GMT", "version": "v2" } ]

2014-07-18

[ [ "Castro", "Luis B.", "" ], [ "de Oliveira", "Luiz P.", "" ] ]

We point out a misleading treatment in the recent literature regarding analytical solutions for nonminimal vector interaction for spin-one particles in the context of the Duffin-Kemmer-Petiau (DKP) formalism. In those papers, the authors use improperly the nonminimal vector interaction endangering in their main conclusions. We present a few properties of the nonminimal vector interactions and also present the correct equations to this problem. We show that the solution can be easily found by solving Schr\"{o}dinger-like equations. As an application of this procedure, we consider spin-one particles in presence of a nonminimal vector linear potential.

11.592426

9.727221

10.747382

9.57059

10.088897

9.389898

10.454384

9.839196

9.619543

10.18547

9.631172

9.945063

10.001536

9.99725

10.271446

10.151956

10.396468

10.35951

9.849033

9.979904

10.149036

1108.0868

Carlo Rovelli

A critical look at strings

7 pages

null

10.1007/s10701-011-9599-3

null

hep-th gr-qc

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

This is an invited contribution to the Special Issue of "Foundations of Physics" titled "Forty Years Of String Theory: Reflecting On the Foundations". I have been asked to assess string theory as an outsider, and to compare it with the theory, methods, and expectations in my own field.

[ { "created": "Wed, 3 Aug 2011 15:25:47 GMT", "version": "v1" } ]

2015-05-30

[ [ "Rovelli", "Carlo", "" ] ]

This is an invited contribution to the Special Issue of "Foundations of Physics" titled "Forty Years Of String Theory: Reflecting On the Foundations". I have been asked to assess string theory as an outsider, and to compare it with the theory, methods, and expectations in my own field.

13.234958

12.159494

13.550403

12.405377

13.506836

16.71723

14.297106

11.990108

14.058694

13.137913

10.907665

11.534184

11.289213

11.000292

11.586021

11.103627

11.159986

11.368417

11.662079

11.724148

10.539678

hep-th/0108053

Israel Klich

I. Klich, A. Mann and M. Revzen

A thick shell Casimir effect

null

Phys.Rev. D65 (2002) 045005

10.1103/PhysRevD.65.045005

null

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

null

We consider the Casimir energy of a thick dielectric-diamagnetic shell under a uniform velocity light condition, as a function of the radii and the permeabilities. We show that there is a range of parameters in which the stress on the outer shell is inward, and a range where the stress on the outer shell is outward. We examine the possibility of obtaining an energetically stable configuration of a thick shell made of a material with a fixed volume.

[ { "created": "Wed, 8 Aug 2001 18:57:43 GMT", "version": "v1" } ]

2009-11-07

[ [ "Klich", "I.", "" ], [ "Mann", "A.", "" ], [ "Revzen", "M.", "" ] ]

We consider the Casimir energy of a thick dielectric-diamagnetic shell under a uniform velocity light condition, as a function of the radii and the permeabilities. We show that there is a range of parameters in which the stress on the outer shell is inward, and a range where the stress on the outer shell is outward. We examine the possibility of obtaining an energetically stable configuration of a thick shell made of a material with a fixed volume.

11.281714

10.720132

11.423952

9.974041

10.661605

11.378266

10.167312

9.441204

10.351437

13.763925

10.313974

9.866208

10.780315

10.131866

10.040836

9.797307

10.098145

10.026593

9.905474

10.651434

10.275101

2009.14360

Yu Nakayama

Anomalous hydrodynamics with dyonic charge

8 pages

null

10.1142/S0217751X21501335

RUP-20-29

hep-th hep-ph

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

We study anomalous hydrodynamics with a dyonic charge. We show that the local second law of thermodynamics constrains the structure of the anomaly in addition to the structure of the hydrodynamic constitutive equations. In particular, we show that not only the usual $E\cdot B$ term but also $E^2 -B^2$ term should be present in the anomaly with a specific coefficient for the local entropy production to be positive definite.

[ { "created": "Wed, 30 Sep 2020 00:55:16 GMT", "version": "v1" } ]

2021-07-21

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

We study anomalous hydrodynamics with a dyonic charge. We show that the local second law of thermodynamics constrains the structure of the anomaly in addition to the structure of the hydrodynamic constitutive equations. In particular, we show that not only the usual $E\cdot B$ term but also $E^2 -B^2$ term should be present in the anomaly with a specific coefficient for the local entropy production to be positive definite.

6.892825

6.427051

6.857874

5.953374

6.189675

5.942666

7.064304

6.301351

5.988483

6.912621

6.158363

6.395061

7.032508

6.460567

6.43019

6.472332

6.387107

6.394356

6.39659

7.182377

6.240044

1912.00521

Theodore Erler

Four Lectures on Analytic Solutions in Open String Field Theory

Version 2: 134 pages, 53 figures. Improved and extended discussion. Version published in Physics Reports

Phys.Rept. 980 (2022) 1-95

10.1016/j.physrep.2022.06.004

null

hep-th

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

The following notes derive from review lectures on the subject of analytic solutions in open string field theory, given at the School for String Field Theory and String Phenomenology at the Harish-Chandra Research Institute in February 2018.

[ { "created": "Sun, 1 Dec 2019 23:32:12 GMT", "version": "v1" }, { "created": "Tue, 26 Jul 2022 21:09:28 GMT", "version": "v2" } ]

2022-08-26

[ [ "Erler", "Theodore", "" ] ]

The following notes derive from review lectures on the subject of analytic solutions in open string field theory, given at the School for String Field Theory and String Phenomenology at the Harish-Chandra Research Institute in February 2018.

13.043131

12.347716

12.471353

11.143376

12.177365

13.17455

12.036052

15.088574

10.813227

17.032217

12.775351

10.777514

12.903951

11.195024

10.943401

10.840386

10.372707

11.249649

10.949347

12.507578

11.137742

1903.05673

Richard Szabo

Richard J. Szabo

An Introduction to Nonassociative Physics

41 pages, 4 figures; v2: minor corrections; Based on Lectures at the Workshop "Dualities and Generalized Geometries", Corfu Summer Institute on Elementary Particle Physics and Gravity, 31 August-28 September 2018, Corfu, Greece; Final version to be published in Proceedings of Science

null

EMPG-19-10

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

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

We give a pedagogical introduction to the nonassociative structures arising from recent developments in quantum mechanics with magnetic monopoles, in string theory and M-theory with non-geometric fluxes, and in M-theory with non-geometric Kaluza-Klein monopoles. After a brief overview of the main historical appearences of nonassociativity in quantum mechanics, string theory and M-theory, we provide a detailed account of the classical and quantum dynamics of electric charges in the backgrounds of various distributions of magnetic charge. We apply Born reciprocity to map this system to the phase space of closed strings propagating in R-flux backgrounds of string theory, and then describe the lift to the phase space of M2-branes in R-flux backgrounds of M-theory. Applying Born reciprocity maps this M-theory configuration to the phase space of M-waves probing a non-geometric Kaluza-Klein monopole background. These four perspective systems are unified by a covariant 3-algebra structure on the M-theory phase space.

[ { "created": "Wed, 13 Mar 2019 18:43:16 GMT", "version": "v1" }, { "created": "Sun, 31 Mar 2019 13:53:25 GMT", "version": "v2" } ]

2019-04-02

[ [ "Szabo", "Richard J.", "" ] ]

We give a pedagogical introduction to the nonassociative structures arising from recent developments in quantum mechanics with magnetic monopoles, in string theory and M-theory with non-geometric fluxes, and in M-theory with non-geometric Kaluza-Klein monopoles. After a brief overview of the main historical appearences of nonassociativity in quantum mechanics, string theory and M-theory, we provide a detailed account of the classical and quantum dynamics of electric charges in the backgrounds of various distributions of magnetic charge. We apply Born reciprocity to map this system to the phase space of closed strings propagating in R-flux backgrounds of string theory, and then describe the lift to the phase space of M2-branes in R-flux backgrounds of M-theory. Applying Born reciprocity maps this M-theory configuration to the phase space of M-waves probing a non-geometric Kaluza-Klein monopole background. These four perspective systems are unified by a covariant 3-algebra structure on the M-theory phase space.

6.485495

5.592397

7.826903

6.012719

6.049826

6.122633

5.801372

5.809273

5.505001

8.257252

5.428665

5.897274

6.72078

6.108307

5.737401

5.992448

5.606889

6.076355

5.989794

6.556417

5.786844

1108.1759

Marc Henneaux

Claudio Bunster, Andr\'es Gomberoff, Marc Henneaux

Extended Charged Events and Chern-Simons Couplings

null

10.1103/PhysRevD.84.125012

null

hep-th gr-qc

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

Recently, the concept of dynamical extended charged events has been introduced, and it has been argued that they should play as central a role as that played by particles or ordinary branes. In this article we show that in the presence of a Chern-Simons coupling, a magnetically charged extended event emits an extended object, which geometrically is just like a Dirac string, but it is observable, obeys equations of motion, and may be electrically charged. We write a complete action principle which accounts for this effect. The action involves two Chern-Simons terms, one integrated over spacetime and the other integrated over the worldvolume of the submanifold that is the union of the Dirac world-sheet and the history of the emitted physical object. By demanding that the total charge emitted by a composite extended magnetic event be quantized according to Dirac's rule, we find a quantization condition for the Chern-Simons coupling. For a 1-form electric potential in D=2n+1 spacetime dimensions, the composite event is formed by n elementary extended magnetic events separated in time such that the product of their transverse spaces, together with the time axis, is the entire spacetime. We show that the emitted electric charge is given by the integral of the (n-1)-th exterior power of the electromagnetic field strength over the last elementary event, or, equivalently, over an appropriate closed surface. The extension to more general p-form potentials and higher dimensions is also discussed. For the case D=11, p=3, our result for the quantization of the Chern-Simons coupling was obtained previously in the context of M-theory, a remarkable agreement that makes the existence of events even more compelling.

[ { "created": "Mon, 8 Aug 2011 17:25:48 GMT", "version": "v1" } ]

2015-05-30

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

Recently, the concept of dynamical extended charged events has been introduced, and it has been argued that they should play as central a role as that played by particles or ordinary branes. In this article we show that in the presence of a Chern-Simons coupling, a magnetically charged extended event emits an extended object, which geometrically is just like a Dirac string, but it is observable, obeys equations of motion, and may be electrically charged. We write a complete action principle which accounts for this effect. The action involves two Chern-Simons terms, one integrated over spacetime and the other integrated over the worldvolume of the submanifold that is the union of the Dirac world-sheet and the history of the emitted physical object. By demanding that the total charge emitted by a composite extended magnetic event be quantized according to Dirac's rule, we find a quantization condition for the Chern-Simons coupling. For a 1-form electric potential in D=2n+1 spacetime dimensions, the composite event is formed by n elementary extended magnetic events separated in time such that the product of their transverse spaces, together with the time axis, is the entire spacetime. We show that the emitted electric charge is given by the integral of the (n-1)-th exterior power of the electromagnetic field strength over the last elementary event, or, equivalently, over an appropriate closed surface. The extension to more general p-form potentials and higher dimensions is also discussed. For the case D=11, p=3, our result for the quantization of the Chern-Simons coupling was obtained previously in the context of M-theory, a remarkable agreement that makes the existence of events even more compelling.

8.24183

9.15343

9.548016

8.397894

9.072933

8.657926

9.716372

9.171906

8.902491

9.980685

8.259918

8.274906

8.424029

8.305218

8.25735

8.374721

8.327909

8.323658

8.330275

8.455027

8.266961

1401.4406

Hassan Firouzjahi

Razieh Emami, Hassan Firouzjahi, Moslem Zarei

Anisotropic Inflation with the non-Vacuum Initial State

13 pages, 3 figures

Phys. Rev. D 90, 023504 (2014)

10.1103/PhysRevD.90.023504

null

hep-th astro-ph.CO

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

In this work we study models of anisotropic inflation with the generalized non-vacuum initial states for the inflaton field and the gauge field. The effects of non Bunch-Davies initial condition on the anisotropic power spectrum and bispectrum are calculated. We show that the non Bunch-Davies initial state can help to reduce the fine-tuning on the anisotropic power spectrum while reducing the level of anisotropic bispectrum.

[ { "created": "Fri, 17 Jan 2014 16:39:34 GMT", "version": "v1" } ]

2014-07-09

[ [ "Emami", "Razieh", "" ], [ "Firouzjahi", "Hassan", "" ], [ "Zarei", "Moslem", "" ] ]

In this work we study models of anisotropic inflation with the generalized non-vacuum initial states for the inflaton field and the gauge field. The effects of non Bunch-Davies initial condition on the anisotropic power spectrum and bispectrum are calculated. We show that the non Bunch-Davies initial state can help to reduce the fine-tuning on the anisotropic power spectrum while reducing the level of anisotropic bispectrum.

5.887761

5.696995

5.925555

6.084013

5.788314

5.567061

5.710038

5.682364

6.1677

7.037201

5.65488

5.330415

5.565711

5.411501

5.594237

5.479804

5.201561

5.458062

5.480907

5.886746

5.217409

1603.00678

Komeil Babaei Velni

T-dual RR couplings on D-branes from S-matrix elements

23 pages. V2: it appears in PRD

Phys. Rev. D 93, 066009(2016)

10.1103/PhysRevD.93.066009

null

hep-th

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

Using the linear T-dual ward identity associated with the NSNS gauge transformations, some RR couplings on D$_p$-branes have been found at order $O(\alpha'^2)$. We examine the $C^{(p-1)}$ couplings with the S-matrix elements of one RR, one graviton and one antisymmetric B-field vertex operators. We find the consistency of T-dual S-matrix elements and explicit results of scattering string amplitude and show that the string amplitude reproduces these couplings as well as some other couplings. This illustration is found for $C^{(p-3)}$ couplings in the literature which is extended to the $C^{(p-1)}$ couplings in this paper.

[ { "created": "Wed, 2 Mar 2016 12:19:21 GMT", "version": "v1" }, { "created": "Sat, 8 Oct 2016 09:07:58 GMT", "version": "v2" } ]

2016-10-11

[ [ "Velni", "Komeil Babaei", "" ] ]

Using the linear T-dual ward identity associated with the NSNS gauge transformations, some RR couplings on D$_p$-branes have been found at order $O(\alpha'^2)$. We examine the $C^{(p-1)}$ couplings with the S-matrix elements of one RR, one graviton and one antisymmetric B-field vertex operators. We find the consistency of T-dual S-matrix elements and explicit results of scattering string amplitude and show that the string amplitude reproduces these couplings as well as some other couplings. This illustration is found for $C^{(p-3)}$ couplings in the literature which is extended to the $C^{(p-1)}$ couplings in this paper.

11.859255

8.823919

13.476499

9.568546

10.374807

9.766212

10.060128

9.471231

9.535322

13.656734

9.78773

10.705778

11.403907

10.956191

10.829803

10.804271

10.742589

10.529655

10.76758

11.796209

10.480002

hep-th/0606074

Haji Ahmedov

H. Ahmedov and I. H. Duru

New Casimir Energy Calculations

Latex. 3 pages

null

10.1142/9789812770523_0003

null

hep-th

null

New Casimir energy results for massless scalar field in some 3 -dimensional cavities are presented. We attempted to discuss the correlation between the sign and the magnitude of the energy and the shape of the cavities.

[ { "created": "Thu, 8 Jun 2006 12:06:22 GMT", "version": "v1" } ]

2017-08-23

[ [ "Ahmedov", "H.", "" ], [ "Duru", "I. H.", "" ] ]

New Casimir energy results for massless scalar field in some 3 -dimensional cavities are presented. We attempted to discuss the correlation between the sign and the magnitude of the energy and the shape of the cavities.

11.666749

9.278273

10.906043

9.361896

9.85538

9.905394

10.383506

10.314924

9.356237

11.291789

9.839429

9.475515

10.781282

10.276304

9.029906

9.211552

9.083541

9.420424

9.968122

10.881577

9.541099

2102.05525

W. N. Polyzou

Wayne Polyzou

The relation between instant and light-front formulations of quantum field theory

21 pages, two new sections

Phys. Rev. D 103, 105017 (2021)

10.1103/PhysRevD.103.105017

null

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

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

The scattering equivalence of quantum field theories formulated with light-front and instant-form kinematic subgroups is established using non-perturbative methods. The difficulty with field theoretic formulations of Dirac's forms of dynamics is that the free and interacting unitary representations of the Poincar\'e group are defined on inequivalent representations of the Hilbert space, which means that the concept of kinematic transformations must be modified on the Hilbert space of the field theory. This work addresses this problem by assuming the existence of a field theory with the expected properties and constructs equivalent representations with instant and front form kinematic subgroups. In this construction both the light-front and instant-form formulations share the same vacuum and one-particle states. The free field Fock space plays no role. There is no "quantization" of a classical theory. The property that survives from the perturbative approach is the notion of a kinematic subgroup, which means kinematic Poincar\'e transformations can be trivially implemented by acting on suitable basis vectors. This non-perturbative approach avoids dealing with issues that arise in perturbative treatments where is it necessary to have a consistent treatment of renormalization, rotational covariance, and the structure of the light-front vacuum. While addressing these issues in a computational framework is important for applications, this work may provide some insight into the nature of the expected resolution and identifies the origin of some of differences between the perturbative and non-perturbative approaches.

[ { "created": "Wed, 10 Feb 2021 16:14:02 GMT", "version": "v1" }, { "created": "Wed, 28 Apr 2021 20:39:35 GMT", "version": "v2" } ]

2021-05-26

[ [ "Polyzou", "Wayne", "" ] ]

The scattering equivalence of quantum field theories formulated with light-front and instant-form kinematic subgroups is established using non-perturbative methods. The difficulty with field theoretic formulations of Dirac's forms of dynamics is that the free and interacting unitary representations of the Poincar\'e group are defined on inequivalent representations of the Hilbert space, which means that the concept of kinematic transformations must be modified on the Hilbert space of the field theory. This work addresses this problem by assuming the existence of a field theory with the expected properties and constructs equivalent representations with instant and front form kinematic subgroups. In this construction both the light-front and instant-form formulations share the same vacuum and one-particle states. The free field Fock space plays no role. There is no "quantization" of a classical theory. The property that survives from the perturbative approach is the notion of a kinematic subgroup, which means kinematic Poincar\'e transformations can be trivially implemented by acting on suitable basis vectors. This non-perturbative approach avoids dealing with issues that arise in perturbative treatments where is it necessary to have a consistent treatment of renormalization, rotational covariance, and the structure of the light-front vacuum. While addressing these issues in a computational framework is important for applications, this work may provide some insight into the nature of the expected resolution and identifies the origin of some of differences between the perturbative and non-perturbative approaches.

11.471234

12.158144

12.61509

11.60225

12.735199

12.764073

12.306817

11.752006

11.347322

13.377157

10.776325

10.725214

11.453653

11.147402

11.176751

10.850561

10.647283

10.966213

10.77875

11.674187

10.575746

hep-th/0004006

Wenli Yang

Kai Chen, Bo-yu Hou, Wen-Li Yang (Northwest University, China)

The Lax pair for C_2-type Ruijsenaars-Schneider model

LaTeX2e, 10 pages, some misprints corrected and sections rearranged

Chin.Phys. 10 (2001) 550-554

10.1088/1009-1963/10/6/316

null

hep-th

null

We study the C_2 Ruijsenaars-Schneider(RS) model with interaction potential of trigonometric type. The Lax pairs for the model with and without spectral parameter are constructed. Also given are the involutive Hamiltonians for the system. Taking nonrelativistic limit, we obtain the Lax pair of C_2 Calogero-Moser model.

[ { "created": "Mon, 3 Apr 2000 05:27:30 GMT", "version": "v1" }, { "created": "Thu, 21 Jun 2001 05:28:36 GMT", "version": "v2" } ]

2009-10-31

[ [ "Chen", "Kai", "", "Northwest University, China" ], [ "Hou", "Bo-yu", "", "Northwest University, China" ], [ "Yang", "Wen-Li", "", "Northwest University, China" ] ]

We study the C_2 Ruijsenaars-Schneider(RS) model with interaction potential of trigonometric type. The Lax pairs for the model with and without spectral parameter are constructed. Also given are the involutive Hamiltonians for the system. Taking nonrelativistic limit, we obtain the Lax pair of C_2 Calogero-Moser model.

8.833842

5.331168

10.922372

7.011585

6.101954

5.472456

5.928892

5.981744

6.340256

13.277413

6.901186

7.341058

9.354957

8.308451

8.095492

7.705348

7.601955

8.49785

8.153525

9.493589

7.849629

hep-th/0105225

Mina Aganagic

Mina Aganagic and Cumrun Vafa

Mirror Symmetry and a $G_2$ Flop

Identification of parameters as well as the computation of the superpotential is extended to all A-D-E cases. Additional references are also included

JHEP 0305 (2003) 061

10.1088/1126-6708/2003/05/061

HUTP-01/A025

hep-th

null

By applying mirror symmetry to D-branes in a Calabi-Yau geometry we shed light on a $G_2$ flop in M-theory relevant for large $N$ dualities in ${\cal N}=1$ supersymmetric gauge theories. Furthermore, we derive superpotential for M-theory on corresponding $G_2$ manifolds for all A-D-E cases. This provides an effective method for geometric engineering of ${\cal N}=1$ gauge theories for which mirror symmetry gives exact information about vacuum geometry. We also find a number of interesting dual descriptions.

[ { "created": "Tue, 22 May 2001 19:22:52 GMT", "version": "v1" }, { "created": "Wed, 13 Jun 2001 23:08:12 GMT", "version": "v2" } ]

2009-11-07

[ [ "Aganagic", "Mina", "" ], [ "Vafa", "Cumrun", "" ] ]

By applying mirror symmetry to D-branes in a Calabi-Yau geometry we shed light on a $G_2$ flop in M-theory relevant for large $N$ dualities in ${\cal N}=1$ supersymmetric gauge theories. Furthermore, we derive superpotential for M-theory on corresponding $G_2$ manifolds for all A-D-E cases. This provides an effective method for geometric engineering of ${\cal N}=1$ gauge theories for which mirror symmetry gives exact information about vacuum geometry. We also find a number of interesting dual descriptions.

10.277002

9.81275

13.106433

9.702198

10.229342

9.434974

9.665668

9.651289

9.429214

12.119427

9.453532

9.515285

10.920216

9.414054

9.318647

9.542851

9.295218

9.489398

9.592642

10.292674

9.368215

hep-th/9805082

Maria A. Lledo

S. Ferrara, M. A. Lled\'o and A. Zaffaroni

Born-Infeld Corrections to D3 brane Action in $AdS_5\times S_5$ and N=4, d=4 Primary Superfields

Latex, 16 pages

Phys.Rev. D58 (1998) 105029

10.1103/PhysRevD.58.105029

CERN-TH/98-147, UCLA/98/TEP/13

hep-th

null

We consider certain supersymmetric Born-Infeld couplings to the D3 brane action and show that they give rise to massless and massive KK excitations of type IIB on $AdS_5\times S_5$, in terms of singleton Yang-Mills superfields.

[ { "created": "Wed, 13 May 1998 22:25:42 GMT", "version": "v1" } ]

2009-10-31

[ [ "Ferrara", "S.", "" ], [ "Lledó", "M. A.", "" ], [ "Zaffaroni", "A.", "" ] ]

We consider certain supersymmetric Born-Infeld couplings to the D3 brane action and show that they give rise to massless and massive KK excitations of type IIB on $AdS_5\times S_5$, in terms of singleton Yang-Mills superfields.

11.080599

8.805081

10.60333

8.01922

8.824708

9.097939

8.506922

8.154047

8.00846

11.327326

8.47133

8.764156

10.602057

8.441815

8.228543

8.746853

9.273014

8.175133

8.580789

10.678678

8.379302

hep-th/9411021

David Gross

Rajesh Gopakumar and David J. Gross (Princeton University)

Mastering the Master Field

46 pages plus 11 uuencoded eps figures

Nucl.Phys. B451 (1995) 379-415

10.1016/0550-3213(95)00340-X

PUPT-1520

hep-th hep-ph

null

The basic concepts of non-commutative probability theory are reviewed and applied to the large $N$ limit of matrix models. We argue that this is the appropriate framework for constructing the master field in terms of which large $N$ theories can be written. We explicitly construct the master field in a number of cases including QCD$_2$. There we both give an explicit construction of the master gauge field and construct master loop operators as well. Most important we extend these techniques to deal with the general matrix model, in which the matrices do not have independent distributions and are coupled. We can thus construct the master field for any matrix model, in a well defined Hilbert space, generated by a collection of creation and annihilation operators---one for each matrix variable---satisfying the Cuntz algebra. We also discuss the equations of motion obeyed by the master field.

[ { "created": "Thu, 3 Nov 1994 04:46:18 GMT", "version": "v1" } ]

2009-10-28

[ [ "Gopakumar", "Rajesh", "", "Princeton University" ], [ "Gross", "David J.", "", "Princeton University" ] ]

The basic concepts of non-commutative probability theory are reviewed and applied to the large $N$ limit of matrix models. We argue that this is the appropriate framework for constructing the master field in terms of which large $N$ theories can be written. We explicitly construct the master field in a number of cases including QCD$_2$. There we both give an explicit construction of the master gauge field and construct master loop operators as well. Most important we extend these techniques to deal with the general matrix model, in which the matrices do not have independent distributions and are coupled. We can thus construct the master field for any matrix model, in a well defined Hilbert space, generated by a collection of creation and annihilation operators---one for each matrix variable---satisfying the Cuntz algebra. We also discuss the equations of motion obeyed by the master field.

9.51877

9.043816

10.353785

9.628109

9.620328

9.545842

9.388627

9.932137

8.972564

10.14236

9.330655

9.251252

10.304089

9.492927

9.605671

9.433325

9.345496

9.557105

9.543716

9.978908

9.198859

2102.08917

Mikhail M. Ivanov

Panagiotis Charalambous, Sergei Dubovsky and Mikhail M. Ivanov

On the Vanishing of Love Numbers for Kerr Black Holes

61 pages

null

10.1007/JHEP05(2021)038

INR-TH-2021-001

hep-th gr-qc

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

It was shown recently that the static tidal response coefficients, called Love numbers, vanish identically for Kerr black holes in four dimensions. In this work, we confirm this result and extend it to the case of spin-0 and spin-1 perturbations. We compute the static response of Kerr black holes to scalar, electromagnetic, and gravitational fields at all orders in black hole spin. We use the unambiguous and gauge-invariant definition of Love numbers and their spin-0 and spin-1 analogs as Wilson coefficients of the point particle effective field theory. This definition also allows one to clearly distinguish between conservative and dissipative response contributions. We demonstrate that the behavior of Kerr black holes responses to spin-0 and spin-1 fields is very similar to that of the spin-2 perturbations. In particular, static conservative responses vanish identically for spinning black holes. This implies that vanishing Love numbers are a generic property of black holes in four-dimensional general relativity. We also show that the dissipative part of the response does not vanish even for static perturbations due to frame-dragging.

[ { "created": "Wed, 17 Feb 2021 18:15:47 GMT", "version": "v1" } ]

2021-05-26

[ [ "Charalambous", "Panagiotis", "" ], [ "Dubovsky", "Sergei", "" ], [ "Ivanov", "Mikhail M.", "" ] ]

It was shown recently that the static tidal response coefficients, called Love numbers, vanish identically for Kerr black holes in four dimensions. In this work, we confirm this result and extend it to the case of spin-0 and spin-1 perturbations. We compute the static response of Kerr black holes to scalar, electromagnetic, and gravitational fields at all orders in black hole spin. We use the unambiguous and gauge-invariant definition of Love numbers and their spin-0 and spin-1 analogs as Wilson coefficients of the point particle effective field theory. This definition also allows one to clearly distinguish between conservative and dissipative response contributions. We demonstrate that the behavior of Kerr black holes responses to spin-0 and spin-1 fields is very similar to that of the spin-2 perturbations. In particular, static conservative responses vanish identically for spinning black holes. This implies that vanishing Love numbers are a generic property of black holes in four-dimensional general relativity. We also show that the dissipative part of the response does not vanish even for static perturbations due to frame-dragging.

5.665429

5.590745

5.508083

5.197753

5.700359

5.541718

5.619213

5.250855

5.368386

5.577585

5.380183

5.495544

5.394626

5.336676

5.478338

5.287089

5.3911

5.346101

5.479327

5.488184

5.5668

hep-th/0503118

Hitoshi Ikemori

H. Otsu, T. Sato, H. Ikemori, S. Kitakado

Solitons of Sigma Model on Noncommutative Space as Solitons of Electron System

12 pages, LaTeX2e, improvements to discussions, Version to be published in JHEP

JHEP0507:052,2005

10.1088/1126-6708/2005/07/052

null

hep-th

null

We study the relationship of soliton solutions for electron system with those of the sigma model on the noncommutative space, working directly in the operator formalism. We find that some soliton solutions of the sigma model are also the solitons of the electron system and are classified by the same topological numbers.

[ { "created": "Tue, 15 Mar 2005 04:46:47 GMT", "version": "v1" }, { "created": "Tue, 5 Jul 2005 06:11:30 GMT", "version": "v2" } ]

2009-11-11

[ [ "Otsu", "H.", "" ], [ "Sato", "T.", "" ], [ "Ikemori", "H.", "" ], [ "Kitakado", "S.", "" ] ]

We study the relationship of soliton solutions for electron system with those of the sigma model on the noncommutative space, working directly in the operator formalism. We find that some soliton solutions of the sigma model are also the solitons of the electron system and are classified by the same topological numbers.

10.598339

8.358617

9.445858

8.732142

8.180305

8.22812

8.015747

8.806034

8.921471

9.413108

9.253831

8.521276

9.480644

8.795625

8.889791

8.744616

8.524789

9.141318

8.770306

9.573555

8.697984

hep-th/9511183

null

Clovis Wotzasek

A remark on the gauging of chiral bosons

LATEX file, severely revised version, LATEX, 18 pages

null

University of Rochester, UR-1401

hep-th

null

We study the interacting chiral boson and observe that a naive gauging procedure leaves the covariant chiral constraint incompatible with the field equations. Consistency, therefore, rules out most gauging schemes: in a left chiral scalar, only the coupling with the left chiral currents leads to consistent results, in discordance with current literature.

[ { "created": "Sun, 26 Nov 1995 13:47:29 GMT", "version": "v1" }, { "created": "Mon, 27 May 1996 15:00:08 GMT", "version": "v2" } ]

2008-02-03

[ [ "Wotzasek", "Clovis", "" ] ]

We study the interacting chiral boson and observe that a naive gauging procedure leaves the covariant chiral constraint incompatible with the field equations. Consistency, therefore, rules out most gauging schemes: in a left chiral scalar, only the coupling with the left chiral currents leads to consistent results, in discordance with current literature.

30.161526

21.533125

28.322458

21.928665

24.988077

25.080566

23.210007

20.586378

21.249285

29.335552

22.431276

22.754698

24.37439

23.900183

22.573936

24.031876

22.790754

22.40609

24.449629

27.414946

21.201555

hep-th/0311001

Rudra Prakash Malik

R. P. Malik (Bose National Centre)

Nilpotent Symmetries for QED in Superfield Formalism

LaTeX file, 12 pages, title slightly changed, text altered, typos corrected, minor changes in equations (3.1), (3.7), (3.8) and (3.9), journal-ref given

Phys.Lett.B584:210-219,2004

10.1016/j.physletb.2004.01.043

null

hep-th

null

In the framework of superfield approach, we derive the local, covariant, continuous and nilpotent (anti-)BRST and (anti-)co-BRST symmetry transformations on the U(1) gauge field $(A_\mu)$ and the (anti-)ghost fields $((\bar C)C)$ of the Lagrangian density of the two $(1 + 1)$-dimensional QED by exploiting the (dual-)horizontality conditions defined on the four $(2 + 2)$-dimensional supermanifold. The long-standing problem of the derivation of the above symmetry transformations for the matter (Dirac) fields $(\bar\psi, \psi)$ in the framework of superfield formulation is resolved by a new set of restrictions on the $(2 + 2)$-dimensional supermanifold. These new physically interesting restrictions on the supermanifold owe their origin to the invariance of conserved currents of the theory. The geometrical interpretation for all the above transformations is provided in the framework of superfield formalism.

[ { "created": "Sat, 1 Nov 2003 12:50:04 GMT", "version": "v1" }, { "created": "Tue, 4 Nov 2003 06:52:29 GMT", "version": "v2" }, { "created": "Fri, 7 Nov 2003 12:51:13 GMT", "version": "v3" }, { "created": "Fri, 16 Jan 2004 16:22:53 GMT", "version": "v4" }, { "created": "Sun, 25 Apr 2004 11:50:28 GMT", "version": "v5" } ]

2011-07-19

[ [ "Malik", "R. P.", "", "Bose National Centre" ] ]

In the framework of superfield approach, we derive the local, covariant, continuous and nilpotent (anti-)BRST and (anti-)co-BRST symmetry transformations on the U(1) gauge field $(A_\mu)$ and the (anti-)ghost fields $((\bar C)C)$ of the Lagrangian density of the two $(1 + 1)$-dimensional QED by exploiting the (dual-)horizontality conditions defined on the four $(2 + 2)$-dimensional supermanifold. The long-standing problem of the derivation of the above symmetry transformations for the matter (Dirac) fields $(\bar\psi, \psi)$ in the framework of superfield formulation is resolved by a new set of restrictions on the $(2 + 2)$-dimensional supermanifold. These new physically interesting restrictions on the supermanifold owe their origin to the invariance of conserved currents of the theory. The geometrical interpretation for all the above transformations is provided in the framework of superfield formalism.

5.878554

3.660903

7.081909

4.207059

4.042551

3.608536

3.827025

3.966343

4.047123

6.822107

4.050531

4.764767

5.98906

5.234153

4.925468

4.947109

4.956591

5.019341

5.125268

6.018279

5.174704

hep-th/0509142

Anirban Basu

Anirban Basu and Emil J. Martinec

Boundary Ground Ring in Minimal String Theory

28 pages, 1 figure

Phys.Rev.D72:106007,2005

10.1103/PhysRevD.72.106007

EFI-05-15

hep-th

null

We obtain relations among boundary states in bosonic minimal open string theory using the boundary ground ring. We also obtain a difference equation that boundary correlators must satisfy.

[ { "created": "Mon, 19 Sep 2005 16:43:35 GMT", "version": "v1" } ]

2014-11-18

[ [ "Basu", "Anirban", "" ], [ "Martinec", "Emil J.", "" ] ]

We obtain relations among boundary states in bosonic minimal open string theory using the boundary ground ring. We also obtain a difference equation that boundary correlators must satisfy.

27.234106

17.148682

33.033363

20.571569

17.365612

20.395525

18.405077

15.530606

17.427578

34.515781

17.544069

19.750505

28.194517

18.755123

19.471144

19.378502

19.418711

19.654406

20.055075

26.638796

18.915686

2007.11543

Aldo Vera

Fabrizio Canfora, Marcela Lagos, Aldo Vera

Crystals of superconducting Baryonic tubes in the low energy limit of QCD at finite density

30 pages, 19 figures. Accepted for publication in European Physical Journal C

null

10.1140/epjc/s10052-020-8275-1

null

hep-th astro-ph.HE gr-qc hep-ph nucl-th

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

The low energy limit of QCD admits (crystals of) superconducting Baryonic tubes at finite density. We begin with the Maxwell-gauged Skyrme model in (3+1)-dimensions (which is the low energy limit of QCD in the leading order of the large N expansion). We construct an ansatz able to reduce the seven coupled field equations in a sector of high Baryonic charge to just one linear Schrodinger-like equation with an effective potential (which can be computed explicitly) periodic in the two spatial directions orthogonal to the axis of the tubes. The solutions represent ordered arrays of Baryonic superconducting tubes as (most of) the Baryonic charge and total energy is concentrated in the tube-shaped regions. They carry a persistent current (which vanishes outside the tubes) even in the limit of vanishing U(1) gauge field: such a current cannot be deformed continuously to zero as it is tied to the topological charge. Then, we discuss the subleading corrections in the 't Hooft expansion to the Skyrme model (called usually \mathcal{L}_{6}$, $\mathcal{L}_{8}$ and so on). Remarkably, the very same ansatz allows to construct analytically these crystals of superconducting Baryonic tubes at any order in the 't Hooft expansion. Thus, no matter how many subleading terms are included, these ordered arrays of gauged solitons are described by the same ansatz and keep their main properties manifesting a universal character. On the other hand, the subleading terms can affect the stability properties of the configurations setting lower bounds on the allowed Baryon density.

[ { "created": "Wed, 22 Jul 2020 17:04:02 GMT", "version": "v1" } ]

2020-08-26

[ [ "Canfora", "Fabrizio", "" ], [ "Lagos", "Marcela", "" ], [ "Vera", "Aldo", "" ] ]

The low energy limit of QCD admits (crystals of) superconducting Baryonic tubes at finite density. We begin with the Maxwell-gauged Skyrme model in (3+1)-dimensions (which is the low energy limit of QCD in the leading order of the large N expansion). We construct an ansatz able to reduce the seven coupled field equations in a sector of high Baryonic charge to just one linear Schrodinger-like equation with an effective potential (which can be computed explicitly) periodic in the two spatial directions orthogonal to the axis of the tubes. The solutions represent ordered arrays of Baryonic superconducting tubes as (most of) the Baryonic charge and total energy is concentrated in the tube-shaped regions. They carry a persistent current (which vanishes outside the tubes) even in the limit of vanishing U(1) gauge field: such a current cannot be deformed continuously to zero as it is tied to the topological charge. Then, we discuss the subleading corrections in the 't Hooft expansion to the Skyrme model (called usually \mathcal{L}_{6}$, $\mathcal{L}_{8}$ and so on). Remarkably, the very same ansatz allows to construct analytically these crystals of superconducting Baryonic tubes at any order in the 't Hooft expansion. Thus, no matter how many subleading terms are included, these ordered arrays of gauged solitons are described by the same ansatz and keep their main properties manifesting a universal character. On the other hand, the subleading terms can affect the stability properties of the configurations setting lower bounds on the allowed Baryon density.

9.460087

9.54372

9.617037

9.288147

9.184159

9.366721

9.438189

8.871495

9.038638

10.224387

8.901616

9.494303

9.540302

9.072485

9.575896

9.204717

9.631362

9.347528

9.265901

9.432323

9.169708

1212.6029

Giovanni Marozzi Dr.

Giovanni Marozzi, Gian Paolo Vacca, Robert H. Brandenberger

Cosmological Backreaction for a Test Field Observer in a Chaotic Inflationary Model

15 pages, 4 figures. A comment added, typos corrected, version accepted for publication in JCAP

null

10.1088/1475-7516/2013/02/027

null

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

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

In an inhomogeneous universe, an observer associated with a particular matter field does not necessarily measure the same cosmological evolution as an observer in a homogeneous and isotropic universe. Here we consider, in the context of a chaotic inflationary background model, a class of observers associated with a "clock field" for which we use a light test field. We compute the effective expansion rate and fluid equation of state in a gauge invariant way, taking into account the quantum fluctuations of the long wavelength modes, and working up to second order in perturbation theory and in the slow-roll approximation. We find that the effective expansion rate is smaller than what would be measured in the absence of fluctuations. Within the stochastic approach we study the bounds for which the approximations we make are consistent.

[ { "created": "Tue, 25 Dec 2012 11:47:22 GMT", "version": "v1" }, { "created": "Wed, 30 Jan 2013 15:54:36 GMT", "version": "v2" } ]

2015-06-12

[ [ "Marozzi", "Giovanni", "" ], [ "Vacca", "Gian Paolo", "" ], [ "Brandenberger", "Robert H.", "" ] ]

In an inhomogeneous universe, an observer associated with a particular matter field does not necessarily measure the same cosmological evolution as an observer in a homogeneous and isotropic universe. Here we consider, in the context of a chaotic inflationary background model, a class of observers associated with a "clock field" for which we use a light test field. We compute the effective expansion rate and fluid equation of state in a gauge invariant way, taking into account the quantum fluctuations of the long wavelength modes, and working up to second order in perturbation theory and in the slow-roll approximation. We find that the effective expansion rate is smaller than what would be measured in the absence of fluctuations. Within the stochastic approach we study the bounds for which the approximations we make are consistent.

9.235966

9.67799

8.825285

8.15836

8.848036

9.36514

9.419866

8.70611

8.999157

8.337471

8.607488

8.646809

8.211417

8.076692

8.551546

8.541359

8.724957

8.208488

8.887884

7.956949

8.460261

1902.01412

Federico Carta

Federico Carta, Jakob Moritz, Alexander Westphal

Gaugino condensation and small uplifts in KKLT

25 pages, 8 figures, 1 appendix. v2. Note added, references added

null

10.1007/JHEP08(2019)141

DESY 19-012

hep-th gr-qc hep-ph

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

In the first part of this note we argue that ten dimensional consistency requirements in the form of a certain tadpole cancellation condition can be satisfied by KKLT type vacua of type IIB string theory. We explain that a new term of non-local nature is generated dynamically once supersymmetry is broken and ensures cancellation of the tadpole. It can be interpreted as the stress caused by the restoring force that the stabilization mechanism exerts on the volume modulus. In the second part, we explain that it is surprisingly difficult to engineer sufficiently long warped throats to prevent decompactification which are also small enough in size to fit into the bulk Calabi-Yau (CY). We give arguments that achieving this with reasonable amount of control may not be possible in generic CY compactifications while CYs with very non-generic geometrical properties might evade our conclusion.

[ { "created": "Mon, 4 Feb 2019 19:00:05 GMT", "version": "v1" }, { "created": "Thu, 14 Mar 2019 18:07:51 GMT", "version": "v2" } ]

2019-10-02

[ [ "Carta", "Federico", "" ], [ "Moritz", "Jakob", "" ], [ "Westphal", "Alexander", "" ] ]

In the first part of this note we argue that ten dimensional consistency requirements in the form of a certain tadpole cancellation condition can be satisfied by KKLT type vacua of type IIB string theory. We explain that a new term of non-local nature is generated dynamically once supersymmetry is broken and ensures cancellation of the tadpole. It can be interpreted as the stress caused by the restoring force that the stabilization mechanism exerts on the volume modulus. In the second part, we explain that it is surprisingly difficult to engineer sufficiently long warped throats to prevent decompactification which are also small enough in size to fit into the bulk Calabi-Yau (CY). We give arguments that achieving this with reasonable amount of control may not be possible in generic CY compactifications while CYs with very non-generic geometrical properties might evade our conclusion.

13.443514

14.81502

14.425205

13.406452

14.036461

13.957901

14.483286

13.538351

14.614065

15.660742

13.309681

13.5052

13.582943

12.54847

13.115764

13.206697

13.496882

13.216722

12.766764

12.841647

12.738016

hep-th/0405079

Artemio Gonzalez-Lopez

Artemio Gonzalez-Lopez and Toshiaki Tanaka

A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry

RevTeX 4, 28 pages, no figures

J.Phys. A38 (2005) 5133-5158

10.1088/0305-4470/38/23/005

null

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

null

We develop a systematic algorithm for constructing an N-fold supersymmetric system from a given vector space invariant under one of the supercharges. Applying this algorithm to spaces of monomials, we construct a new multi-parameter family of N-fold supersymmetric models, which shall be referred to as "type C". We investigate various aspects of these type C models in detail. It turns out that in certain cases these systems exhibit a novel phenomenon, namely, partial breaking of N-fold supersymmetry.

[ { "created": "Mon, 10 May 2004 13:14:49 GMT", "version": "v1" }, { "created": "Fri, 3 Jun 2005 12:34:42 GMT", "version": "v2" } ]

2007-05-23

[ [ "Gonzalez-Lopez", "Artemio", "" ], [ "Tanaka", "Toshiaki", "" ] ]

We develop a systematic algorithm for constructing an N-fold supersymmetric system from a given vector space invariant under one of the supercharges. Applying this algorithm to spaces of monomials, we construct a new multi-parameter family of N-fold supersymmetric models, which shall be referred to as "type C". We investigate various aspects of these type C models in detail. It turns out that in certain cases these systems exhibit a novel phenomenon, namely, partial breaking of N-fold supersymmetry.

10.972064

9.745988

12.178629

9.220949

10.127473

9.826653

9.944034

9.389077

9.590353

12.927277

9.943633

10.179107

10.442237

10.098501

10.600876

10.447085

10.475904

10.331944

10.664429

10.734493

10.375161

1207.1940

Paul Steinhardt

Itzhak Bars, Shih-Hung Chen, Paul J. Steinhardt, and Neil Turok

Complete Set of Homogeneous Isotropic Analytic Solutions in Scalar-Tensor Cosmology with Radiation and Curvature

38 pages, 29 figures

null

10.1103/PhysRevD.86.083542

null

hep-th astro-ph.CO gr-qc

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

We study a model of a scalar field minimally coupled to gravity, with a specific potential energy for the scalar field, and include curvature and radiation as two additional parameters. Our goal is to obtain analytically the complete set of configurations of a homogeneous and isotropic universe as a function of time. This leads to a geodesically complete description of the universe, including the passage through the cosmological singularities, at the classical level. We give all the solutions analytically without any restrictions on the parameter space of the model or initial values of the fields. We find that for generic solutions the universe goes through a singular (zero-size) bounce by entering a period of antigravity at each big crunch and exiting from it at the following big bang. This happens cyclically again and again without violating the null energy condition. There is a special subset of geodesically complete non-generic solutions which perform zero-size bounces without ever entering the antigravity regime in all cycles. For these, initial values of the fields are synchronized and quantized but the parameters of the model are not restricted. There is also a subset of spatial curvature-induced solutions that have finite-size bounces in the gravity regime and never enter the antigravity phase. These exist only within a small continuous domain of parameter space without fine tuning initial conditions. To obtain these results, we identified 25 regions of a 6-parameter space in which the complete set of analytic solutions are explicitly obtained.

[ { "created": "Mon, 9 Jul 2012 04:16:01 GMT", "version": "v1" } ]

2013-05-30

[ [ "Bars", "Itzhak", "" ], [ "Chen", "Shih-Hung", "" ], [ "Steinhardt", "Paul J.", "" ], [ "Turok", "Neil", "" ] ]

We study a model of a scalar field minimally coupled to gravity, with a specific potential energy for the scalar field, and include curvature and radiation as two additional parameters. Our goal is to obtain analytically the complete set of configurations of a homogeneous and isotropic universe as a function of time. This leads to a geodesically complete description of the universe, including the passage through the cosmological singularities, at the classical level. We give all the solutions analytically without any restrictions on the parameter space of the model or initial values of the fields. We find that for generic solutions the universe goes through a singular (zero-size) bounce by entering a period of antigravity at each big crunch and exiting from it at the following big bang. This happens cyclically again and again without violating the null energy condition. There is a special subset of geodesically complete non-generic solutions which perform zero-size bounces without ever entering the antigravity regime in all cycles. For these, initial values of the fields are synchronized and quantized but the parameters of the model are not restricted. There is also a subset of spatial curvature-induced solutions that have finite-size bounces in the gravity regime and never enter the antigravity phase. These exist only within a small continuous domain of parameter space without fine tuning initial conditions. To obtain these results, we identified 25 regions of a 6-parameter space in which the complete set of analytic solutions are explicitly obtained.

10.02335

11.188383

11.338071

10.512829

11.430365

11.414384

11.462267

10.920908

10.856805

10.831835

10.349912

10.44723

10.025106

10.149277

10.403845

10.282605

10.258947

10.140532

10.402757

10.197624

10.171116

0806.0181

Steve Paik

Christopher P. Herzog, Steve Paik, Matthew J. Strassler, Ethan G. Thompson

Holographic Double Diffractive Scattering

35 pages, 8 figures, uses JHEP3.cls

JHEP 0808:010,2008

10.1088/1126-6708/2008/08/010

PUPT-2267

hep-th hep-ph

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

The holographic description of Pomeron exchange in a strongly-coupled gauge theory with an AdS dual is extended to the case of two to three scattering. We study the production event of a central particle via hadron-hadron scattering in the double Regge kinematic regime of large center-of-momentum energy and fixed momentum transfer. The computation reduces to the overlap of a holographic wave function for the central particle with a source function for the Pomerons. The formalism is applied to scalar glueball production and the resulting amplitude is studied in various kinematic limits.

[ { "created": "Mon, 2 Jun 2008 17:33:59 GMT", "version": "v1" } ]

2009-12-10

[ [ "Herzog", "Christopher P.", "" ], [ "Paik", "Steve", "" ], [ "Strassler", "Matthew J.", "" ], [ "Thompson", "Ethan G.", "" ] ]

The holographic description of Pomeron exchange in a strongly-coupled gauge theory with an AdS dual is extended to the case of two to three scattering. We study the production event of a central particle via hadron-hadron scattering in the double Regge kinematic regime of large center-of-momentum energy and fixed momentum transfer. The computation reduces to the overlap of a holographic wave function for the central particle with a source function for the Pomerons. The formalism is applied to scalar glueball production and the resulting amplitude is studied in various kinematic limits.

9.559623

11.005226

8.64372

9.104006

10.258878

11.960763

10.456341

10.694025

9.472657

10.825589

9.586402

9.077898

9.938525

9.386657

9.317666

9.34129

8.991405

9.610597

9.272667

10.123553

9.556686

0903.4340

Parthasarathi Majumdar

Parthasarathi Majumdar and Srijit Bhattacharjee

Gauge-free Electrodynamics

16 pages Latex, no figures, abstract slightly modified. Paper body substantively modified. Several new references added

null

hep-th gr-qc

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

We propose a reformulation of electrodynamics in terms of a {\it physical} vector potential entirely free of gauge ambiguities. Quantizing the theory leads to a propagator that is gauge invariant by construction in this reformulation, in contrast to the standard photon propagator. Coupling the theory to a charged Abelian Higgs field leads at the quantum level to a one loop effective potential which realizes the Coleman-Weinberg mechanism of mass generation, thus resolving the issue of its gauge dependence. We relate our results to recent work by Niemi et. al. and Faddeev, where similar strategies are adopted in a version of the electroweak theory. Other theories with linear Abelian gauge invariance, like the linearized spin 2 theory of gravity or the antisymmetric tensor field, which may all be reformulated in terms of physical vector or tensor potentials without gauge ambiguities, are also discussed briefly.

[ { "created": "Wed, 25 Mar 2009 13:58:02 GMT", "version": "v1" }, { "created": "Thu, 30 Jul 2009 09:53:15 GMT", "version": "v2" }, { "created": "Thu, 14 Jan 2010 13:41:23 GMT", "version": "v3" }, { "created": "Tue, 7 Dec 2010 09:50:56 GMT", "version": "v4" } ]

2010-12-08

[ [ "Majumdar", "Parthasarathi", "" ], [ "Bhattacharjee", "Srijit", "" ] ]

We propose a reformulation of electrodynamics in terms of a {\it physical} vector potential entirely free of gauge ambiguities. Quantizing the theory leads to a propagator that is gauge invariant by construction in this reformulation, in contrast to the standard photon propagator. Coupling the theory to a charged Abelian Higgs field leads at the quantum level to a one loop effective potential which realizes the Coleman-Weinberg mechanism of mass generation, thus resolving the issue of its gauge dependence. We relate our results to recent work by Niemi et. al. and Faddeev, where similar strategies are adopted in a version of the electroweak theory. Other theories with linear Abelian gauge invariance, like the linearized spin 2 theory of gravity or the antisymmetric tensor field, which may all be reformulated in terms of physical vector or tensor potentials without gauge ambiguities, are also discussed briefly.

9.114017

8.744452

9.269025

8.990695

9.621392

9.261772

9.108756

8.669137

8.614548

9.465555

8.647147

8.54543

8.858768

8.932859

8.757397

8.5961

8.706625

8.562596

8.599886

8.744107

8.503563

2008.10689

Roberto Valandro

Andr\'es Collinucci, Roberto Valandro

A string theory realization of special unitary quivers in 3 dimensions

18 pages, 14 figures; references added, some clarifications added

null

10.1007/JHEP11(2020)157

null

hep-th

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

We propose a string theory realization of three-dimensional $\mathcal{N}=4$ quiver gauge theories with special unitary gauge groups. This is most easily understood in type IIA string theory with D4-branes wrapped on holomorphic curves in local K3's, by invoking the St\"uckelberg mechanism. From the type IIB perspective, this is understood as simply compactifying the familiar Hanany-Witten (HW) constructions on a $T^3$. The mirror symmetry duals are easily derived. We illustrate this with various examples of mirror pairs.

[ { "created": "Mon, 24 Aug 2020 20:23:12 GMT", "version": "v1" }, { "created": "Wed, 2 Dec 2020 14:33:04 GMT", "version": "v2" } ]

2020-12-30

[ [ "Collinucci", "Andrés", "" ], [ "Valandro", "Roberto", "" ] ]

We propose a string theory realization of three-dimensional $\mathcal{N}=4$ quiver gauge theories with special unitary gauge groups. This is most easily understood in type IIA string theory with D4-branes wrapped on holomorphic curves in local K3's, by invoking the St\"uckelberg mechanism. From the type IIB perspective, this is understood as simply compactifying the familiar Hanany-Witten (HW) constructions on a $T^3$. The mirror symmetry duals are easily derived. We illustrate this with various examples of mirror pairs.

9.686001

8.941717

11.993625

8.553246

8.938486

8.464609

8.969197

8.687802

7.976131

11.921909

8.233179

9.171873

9.869434

8.842471

9.200369

8.824627

8.964215

8.981964

8.770432

9.288774

8.673326

2201.08372

Jonathan Heckman

Michele Del Zotto, Jonathan J. Heckman, Shani Nadir Meynet, Robert Moscrop, and Hao Y. Zhang

Higher Symmetries of 5d Orbifold SCFTs

v2: 42 pages, 5 figures, reference added, typos corrected, clarifications added

null

10.1103/PhysRevD.106.046010

null

hep-th math.AT

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

We determine the higher symmetries of 5d SCFTs engineered from M-theory on a $\mathbb{C}^3 / \Gamma$ background for $\Gamma$ a finite subgroup of $SU(3)$. This resolves a longstanding question as to how to extract this data when the resulting singularity is non-toric (when $\Gamma$ is non-abelian) and/or not isolated (when the action of $\Gamma$ has fixed loci). The BPS states of the theory are encoded in a 1d quiver quantum mechanics gauge theory which determines the possible 1-form and 2-form symmetries. We also show that this same data can also be extracted by a direct computation of the corresponding defect group associated with the orbifold singularity. Both methods agree, and these computations do not rely on the existence of a resolution of the singularity. We also observe that when the geometry faithfully captures the global 0-form symmetry, the abelianization of $\Gamma$ detects a 2-group structure (when present). As such, this establishes that all of this data is indeed intrinsic to the superconformal fixed point rather than being an emergent property of an IR gauge theory phase.

[ { "created": "Thu, 20 Jan 2022 18:55:17 GMT", "version": "v1" }, { "created": "Thu, 19 May 2022 01:07:14 GMT", "version": "v2" } ]

2022-09-14

[ [ "Del Zotto", "Michele", "" ], [ "Heckman", "Jonathan J.", "" ], [ "Meynet", "Shani Nadir", "" ], [ "Moscrop", "Robert", "" ], [ "Zhang", "Hao Y.", "" ] ]

We determine the higher symmetries of 5d SCFTs engineered from M-theory on a $\mathbb{C}^3 / \Gamma$ background for $\Gamma$ a finite subgroup of $SU(3)$. This resolves a longstanding question as to how to extract this data when the resulting singularity is non-toric (when $\Gamma$ is non-abelian) and/or not isolated (when the action of $\Gamma$ has fixed loci). The BPS states of the theory are encoded in a 1d quiver quantum mechanics gauge theory which determines the possible 1-form and 2-form symmetries. We also show that this same data can also be extracted by a direct computation of the corresponding defect group associated with the orbifold singularity. Both methods agree, and these computations do not rely on the existence of a resolution of the singularity. We also observe that when the geometry faithfully captures the global 0-form symmetry, the abelianization of $\Gamma$ detects a 2-group structure (when present). As such, this establishes that all of this data is indeed intrinsic to the superconformal fixed point rather than being an emergent property of an IR gauge theory phase.

8.068888

7.915399

9.706686

7.883126

8.283305

8.534941

8.34169

8.135465

7.794474

9.733392

7.738784

8.046928

8.706148

7.923473

7.835521

7.870461

7.724125

7.786326

8.090389

8.568568

8.050494

hep-th/9409113

Cangemi

Daniel Cangemi, Gerald Dunne and Eric D'Hoker

Derivative Expansion of the Effective Action and Vacuum Instability for QED in 2+1 Dimensions

RevTeX, 5 pages, UCLA/94/TEP/35 and UCONN-94-5

Phys.Rev.D51:2513-2516,1995

10.1103/PhysRevD.51.2513

null

hep-th cond-mat hep-ph

null

We investigate the effective action of 2+1 dimensional charged spin 1/2 fermions and spin 0 bosons in the presence of a $U(1)$ gauge field. We evaluate terms in an expansion up to second order in derivatives of the field strength, but exactly in the mass parameter and in the magnitude of the nonvanishing constant field strength. We find that in a strong uniform magnetic field background, space-derivative terms lower the energy, and there arises an instability toward inhomogeneous magnetic fields.

[ { "created": "Mon, 19 Sep 1994 09:02:16 GMT", "version": "v1" } ]

2009-12-30

[ [ "Cangemi", "Daniel", "" ], [ "Dunne", "Gerald", "" ], [ "D'Hoker", "Eric", "" ] ]

We investigate the effective action of 2+1 dimensional charged spin 1/2 fermions and spin 0 bosons in the presence of a $U(1)$ gauge field. We evaluate terms in an expansion up to second order in derivatives of the field strength, but exactly in the mass parameter and in the magnitude of the nonvanishing constant field strength. We find that in a strong uniform magnetic field background, space-derivative terms lower the energy, and there arises an instability toward inhomogeneous magnetic fields.

10.574442

9.312791

10.78364

9.078012

9.87214

9.663211

8.346807

9.138134

9.139136

11.177459

9.436643

10.012637

10.30006

9.545926

9.265925

9.298707

9.607704

9.617243

9.578778

10.446495

9.18092

0907.4204

Anastasios Taliotis

Deep Inelastic Scattering from the AdS/CFT correspondence

4 pages, 3 figures - To appear in the conference proceedings for Quark Matter 2009, March 30 - April 4, Knoxville, Tennessee; v2: line numbers removed

Nucl.Phys.A830:299c-302c,2009

10.1016/j.nuclphysa.2009.10.026

null

hep-th

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

We calculate the cross section of an ultra relativistic nucleus scattering on a qq^(bar) pair at large coupling in N=4 SUSY gauge theory. We study the problem in the context of the AdS/CFT correspondence. The nucleus is modeled as a gravitational shockwave in an AdS_5 background moving along the light cone. The dipole qq^(bar) is represented by a Wilson loop moving in the opposite direction. Due to the correspondence, calculating the scattering amplitude of the Wilson loop with the nucleus reduces to calculating the extreme value of the Nambu-Goto action for an open string. Its two end points are attached to the qq^(bar) respectively and it hangs in an AdS_5 shockwave spacetime. Six solutions are found two of which are physically meaningful. Both solutions predict that the saturation scale Q_s at high enough energies becomes energy independent; in particular it behaves as Q_s A^{1/3} where A is the atomic number. One solution predicts pomeron intercept alpha_p=2. However, there is a parameter window of r (dipole size) and s (c.m. energy) where it violates the black disk limit. On the other hand, the other solution respects this limit and corresponds to pomeron intercept alpha_p=1.5. We conjecture that this is the right value for gauge theories at strong coupling.

[ { "created": "Fri, 24 Jul 2009 15:53:59 GMT", "version": "v1" }, { "created": "Fri, 25 Sep 2009 16:45:32 GMT", "version": "v2" } ]

2009-11-18

[ [ "Taliotis", "Anastasios", "" ] ]

We calculate the cross section of an ultra relativistic nucleus scattering on a qq^(bar) pair at large coupling in N=4 SUSY gauge theory. We study the problem in the context of the AdS/CFT correspondence. The nucleus is modeled as a gravitational shockwave in an AdS_5 background moving along the light cone. The dipole qq^(bar) is represented by a Wilson loop moving in the opposite direction. Due to the correspondence, calculating the scattering amplitude of the Wilson loop with the nucleus reduces to calculating the extreme value of the Nambu-Goto action for an open string. Its two end points are attached to the qq^(bar) respectively and it hangs in an AdS_5 shockwave spacetime. Six solutions are found two of which are physically meaningful. Both solutions predict that the saturation scale Q_s at high enough energies becomes energy independent; in particular it behaves as Q_s A^{1/3} where A is the atomic number. One solution predicts pomeron intercept alpha_p=2. However, there is a parameter window of r (dipole size) and s (c.m. energy) where it violates the black disk limit. On the other hand, the other solution respects this limit and corresponds to pomeron intercept alpha_p=1.5. We conjecture that this is the right value for gauge theories at strong coupling.

8.626849

9.049459

8.393228

8.297795

9.262376

9.652714

8.452402

9.224012

8.47293

10.411213

8.670155

8.612749

8.485695

8.587848

8.395171

8.581913

8.805461

8.503134

8.323009

8.535077

8.367815

hep-th/0607061

Thorsten Battefeld

Thorsten Battefeld, Natalia Shuhmaher

Predictions of Dynamically Emerging Brane Inflation Models

V.2: slightly extended to match version accepted in PRD; 10 pages, 1 figure

Phys.Rev. D74 (2006) 123501

10.1103/PhysRevD.74.123501

null

hep-th astro-ph

null

We confront the recent proposal of Emerging Brane Inflation with WMAP3+SDSS, finding a scalar spectral index of $n_s=0.9659^{+0.0049}_{-0.0052}$ in excellent agreement with observations. The proposal incorporates a preceding phase of isotropic, non accelerated expansion in all dimensions, providing suitable initial conditions for inflation. Additional observational constraints on the parameters of the model provide an estimate of the string scale. A graceful exit to inflation and stabilization of extra dimensions is achieved via a string gas. The resulting pre-heating phase shows some novel features due to a redshifting potential, comparable to effects due to the expansion of the universe itself. However, the model at hand suffers from either a potential over-production of relics after inflation or insufficient stabilization at late times.

[ { "created": "Mon, 10 Jul 2006 20:05:26 GMT", "version": "v1" }, { "created": "Sat, 25 Nov 2006 15:54:02 GMT", "version": "v2" } ]

2007-05-23

[ [ "Battefeld", "Thorsten", "" ], [ "Shuhmaher", "Natalia", "" ] ]

We confront the recent proposal of Emerging Brane Inflation with WMAP3+SDSS, finding a scalar spectral index of $n_s=0.9659^{+0.0049}_{-0.0052}$ in excellent agreement with observations. The proposal incorporates a preceding phase of isotropic, non accelerated expansion in all dimensions, providing suitable initial conditions for inflation. Additional observational constraints on the parameters of the model provide an estimate of the string scale. A graceful exit to inflation and stabilization of extra dimensions is achieved via a string gas. The resulting pre-heating phase shows some novel features due to a redshifting potential, comparable to effects due to the expansion of the universe itself. However, the model at hand suffers from either a potential over-production of relics after inflation or insufficient stabilization at late times.

18.617048

17.154276

17.01993

16.589991

20.156727

19.177908

18.754471

15.78056

17.361261

17.223038

17.173744

17.107107

16.55171

16.619364

17.177925

17.342926

17.394989

16.931673

16.604673

17.330803

16.538654

1007.5182

Istvan Nandori

I. Nandori, S. Nagy, K. Sailer, A. Trombettoni

Phase Structure and Compactness

21 pages, 5 figures, minor changes, final version, accepted for publication in JHEP

JHEP 1009:069,2010

10.1007/JHEP09(2010)069

null

hep-th cond-mat.stat-mech

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

In order to study the influence of compactness on low-energy properties, we compare the phase structures of the compact and non-compact two-dimensional multi-frequency sine-Gordon models. It is shown that the high-energy scaling of the compact and non-compact models coincides, but their low-energy behaviors differ. The critical frequency $\beta^2 = 8\pi$ at which the sine-Gordon model undergoes a topological phase transition is found to be unaffected by the compactness of the field since it is determined by high-energy scaling laws. However, the compact two-frequency sine-Gordon model has first and second order phase transitions determined by the low-energy scaling: we show that these are absent in the non-compact model.

[ { "created": "Thu, 29 Jul 2010 10:53:13 GMT", "version": "v1" }, { "created": "Wed, 15 Sep 2010 13:58:00 GMT", "version": "v2" } ]

2014-11-21

[ [ "Nandori", "I.", "" ], [ "Nagy", "S.", "" ], [ "Sailer", "K.", "" ], [ "Trombettoni", "A.", "" ] ]

In order to study the influence of compactness on low-energy properties, we compare the phase structures of the compact and non-compact two-dimensional multi-frequency sine-Gordon models. It is shown that the high-energy scaling of the compact and non-compact models coincides, but their low-energy behaviors differ. The critical frequency $\beta^2 = 8\pi$ at which the sine-Gordon model undergoes a topological phase transition is found to be unaffected by the compactness of the field since it is determined by high-energy scaling laws. However, the compact two-frequency sine-Gordon model has first and second order phase transitions determined by the low-energy scaling: we show that these are absent in the non-compact model.

6.910703

6.162399

7.806823

6.133785

6.924827

6.862789

6.317576

6.257569

6.273425

7.433499

6.629557

6.470673

6.683174

6.671574

6.474867

6.355663

6.595585

6.42993

6.609497

6.90507

6.344073

1401.5795

Irene Amado

Irene Amado, Nir Lisker and Amos Yarom

Universal chiral conductivities for low temperature holographic superfluids

14 pages, 2 figures

null

10.1007/JHEP06(2014)084

null

hep-th

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

We argue that the chiral conductivities of generic s-wave holographic superfluids, whose broken U(1) symmetry is anomalous, exhibit universal behavior at low temperatures. The universal behavior we argue for is independent of the details of the bulk action and on the emergent geometry deep in the bulk interior at low temperatures. Our results are contrasted against general expectations based on an analysis of the entropy current in superfluids.

[ { "created": "Wed, 22 Jan 2014 21:00:05 GMT", "version": "v1" } ]

2015-06-18

[ [ "Amado", "Irene", "" ], [ "Lisker", "Nir", "" ], [ "Yarom", "Amos", "" ] ]

We argue that the chiral conductivities of generic s-wave holographic superfluids, whose broken U(1) symmetry is anomalous, exhibit universal behavior at low temperatures. The universal behavior we argue for is independent of the details of the bulk action and on the emergent geometry deep in the bulk interior at low temperatures. Our results are contrasted against general expectations based on an analysis of the entropy current in superfluids.

12.321164

11.096066

12.85319

10.432704

9.794136

10.426935

11.078935

10.466984

10.165617

13.916497

10.05708

10.866943

11.041021

10.956248

10.378855

10.676439

10.304469

11.453564

10.807976

11.310955

10.806942

2304.08949

Tobias Rindlisbacher

Niko Jokela, Arttu P\"onni, Tobias Rindlisbacher, Kari Rummukainen and Ahmed Salami

Disentangling the gravity dual of Yang-Mills theory

59 pages, 28 figures, to be published in JHEP under the title "Progress in the lattice evaluation of entanglement entropy of three-dimensional Yang-Mills theories and holographic bulk reconstruction"

J. High Energ. Phys. 2023, 137 (2023)

10.1007/JHEP12(2023)137

HIP-2023-4/TH

hep-th hep-lat hep-ph

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

A construction of a gravity dual to a physical gauge theory requires confronting data. We establish a proof-of-concept for precision holography, i.e., the explicit reconstruction of the dual background metric functions directly from the entanglement entropy (EE) of strip subregions that we extract from pure glue Yang-Mills theory discretized on a lattice. Our main focus is on a three-dimensional Euclidean SU(2) theory in the deconfining phase. Holographic EE suggests, and we find evidence for, that the scaling of the thermal entropy with temperature is to power 7/3 and that it approaches smoothly the critical point, consistent with black hole thermodynamics. In addition, we provide frugal results on the potential between quenched quarks by the computation of the Polyakov loop correlators on the lattice. Holographic arguments pique curiosity in the substratum of Debye screening at strong coupling.

[ { "created": "Tue, 18 Apr 2023 12:39:19 GMT", "version": "v1" }, { "created": "Mon, 4 Dec 2023 22:42:59 GMT", "version": "v2" } ]

2023-12-29

[ [ "Jokela", "Niko", "" ], [ "Pönni", "Arttu", "" ], [ "Rindlisbacher", "Tobias", "" ], [ "Rummukainen", "Kari", "" ], [ "Salami", "Ahmed", "" ] ]

A construction of a gravity dual to a physical gauge theory requires confronting data. We establish a proof-of-concept for precision holography, i.e., the explicit reconstruction of the dual background metric functions directly from the entanglement entropy (EE) of strip subregions that we extract from pure glue Yang-Mills theory discretized on a lattice. Our main focus is on a three-dimensional Euclidean SU(2) theory in the deconfining phase. Holographic EE suggests, and we find evidence for, that the scaling of the thermal entropy with temperature is to power 7/3 and that it approaches smoothly the critical point, consistent with black hole thermodynamics. In addition, we provide frugal results on the potential between quenched quarks by the computation of the Polyakov loop correlators on the lattice. Holographic arguments pique curiosity in the substratum of Debye screening at strong coupling.

17.183138

17.560162

19.067425

17.063046

17.546036

17.816986

16.195848

17.912828

16.519352

21.204159

16.938828

17.295181

17.41906

16.640974

17.089548

17.424376

17.234921

16.969442

17.140257

17.965183

17.399443

1305.2122

Anatoly Konechny

Daniel Friedan, Anatoly Konechny, and Cornelius Schmidt-Colinet

Precise lower bound on Monster brane boundary entropy

1+18 pages

null

IPMU13-0086

hep-th

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

In this paper we develop further the linear functional method of deriving lower bounds on the boundary entropy of conformal boundary conditions in 1+1 dimensional conformal field theories (CFTs). We show here how to use detailed knowledge of the bulk CFT spectrum. Applying the method to the Monster CFT with c=\bar c=24 we derive a lower bound s > - 3.02 x 10^{-19} on the boundary entropy s=ln g, and find compelling evidence that the optimal bound is s>= 0. We show that all g=1 branes must have the same low-lying boundary spectrum, which matches the spectrum of the known g=1 branes, suggesting that the known examples comprise all possible g=1 branes, and also suggesting that the bound s>= 0 holds not just for critical boundary conditions but for all boundary conditions in the Monster CFT. The same analysis applied to a second bulk CFT -- a certain c=2 Gaussian model -- yields a less strict bound, suggesting that the precise linear functional bound on s for the Monster CFT is exceptional.

[ { "created": "Thu, 9 May 2013 15:32:05 GMT", "version": "v1" } ]

2013-05-10

[ [ "Friedan", "Daniel", "" ], [ "Konechny", "Anatoly", "" ], [ "Schmidt-Colinet", "Cornelius", "" ] ]

In this paper we develop further the linear functional method of deriving lower bounds on the boundary entropy of conformal boundary conditions in 1+1 dimensional conformal field theories (CFTs). We show here how to use detailed knowledge of the bulk CFT spectrum. Applying the method to the Monster CFT with c=\bar c=24 we derive a lower bound s > - 3.02 x 10^{-19} on the boundary entropy s=ln g, and find compelling evidence that the optimal bound is s>= 0. We show that all g=1 branes must have the same low-lying boundary spectrum, which matches the spectrum of the known g=1 branes, suggesting that the known examples comprise all possible g=1 branes, and also suggesting that the bound s>= 0 holds not just for critical boundary conditions but for all boundary conditions in the Monster CFT. The same analysis applied to a second bulk CFT -- a certain c=2 Gaussian model -- yields a less strict bound, suggesting that the precise linear functional bound on s for the Monster CFT is exceptional.

9.598512

10.358357

10.718648

9.373235

10.105292

9.988448

10.028621

9.406208

9.294076

11.945051

8.884569

8.860033

9.953559

9.429849

9.351826

9.128821

8.989107

9.320632

9.200637

9.679483

9.043729

hep-th/0207074

Anton Kapustin

Vadim Borokhov, Anton Kapustin, Xinkai Wu

Monopole Operators and Mirror Symmetry in Three Dimensions

30 pages, latex. v2: references added

JHEP 0212 (2002) 044

10.1088/1126-6708/2002/12/044

CALT-68-2397

hep-th

null

We study vortex-creating, or monopole, operators in 3d CFTs which are the infrared limit of N=2 and N=4 supersymmetric QEDs in three dimensions. Using large-Nf expansion, we construct monopole operators which are primaries of short representations of the superconformal algebra. Mirror symmetry in three dimensions makes a number of predictions about such operators, and our results confirm these predictions. Furthermore, we argue that some of our large-Nf results are exact. This implies, in particular, that certain monopole operators in N=4 d=3 SQED with Nf=1 are free fields. This amounts to a proof of 3d mirror symmetry in a special case.

[ { "created": "Tue, 9 Jul 2002 07:21:29 GMT", "version": "v1" }, { "created": "Fri, 27 Sep 2002 21:19:26 GMT", "version": "v2" } ]

2009-11-07

[ [ "Borokhov", "Vadim", "" ], [ "Kapustin", "Anton", "" ], [ "Wu", "Xinkai", "" ] ]

We study vortex-creating, or monopole, operators in 3d CFTs which are the infrared limit of N=2 and N=4 supersymmetric QEDs in three dimensions. Using large-Nf expansion, we construct monopole operators which are primaries of short representations of the superconformal algebra. Mirror symmetry in three dimensions makes a number of predictions about such operators, and our results confirm these predictions. Furthermore, we argue that some of our large-Nf results are exact. This implies, in particular, that certain monopole operators in N=4 d=3 SQED with Nf=1 are free fields. This amounts to a proof of 3d mirror symmetry in a special case.

7.707028

7.360847

9.717929

6.761114

7.258538

7.406704

7.42556

7.215089

7.403331

8.823127

7.282839

7.235898

8.145012

7.740425

7.547597

7.519705

7.492174

7.907197

7.660844

8.49173

7.553907

1902.05074

Seyed Morteza Hosseini

Martin Fluder, Seyed Morteza Hosseini, Christoph F. Uhlemann

Black hole microstate counting in Type IIB from 5d SCFTs

31 pages; V2: ref. added, minor corrections

JHEP 1905 (2019) 134

10.1007/JHEP05(2019)134

IPMU19-0020

hep-th

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

We use recently established AdS$_6$/CFT$_5$ dualities to count the microstates of magnetically charged AdS$_6 \times S^2 \times \Sigma$ black holes in Type IIB. The near-horizon limit is described by solutions with AdS$_2 \times \Sigma_{\mathfrak{g}_1} \times \Sigma_{\mathfrak{g}_2} \times S^2 \times \Sigma$ geometry, where $\Sigma_{\mathfrak{g}_i}$ are Riemann surfaces of constant curvature and $\Sigma$ is a further Riemann surface over which the geometry is warped. Our results show that the topologically twisted indices of the proposed dual superconformal field theories precisely reproduce the Bekenstein-Hawking entropy of this class of black holes. This provides further support for a prescription to compute five-dimensional topologically twisted indices put forth recently, and for the proposed dualities. We confirm the $N^4$ scaling found in the sphere partition functions and extend previous matches of sphere partition functions to AdS$_6$ solutions with monodromy.

[ { "created": "Wed, 13 Feb 2019 19:00:00 GMT", "version": "v1" }, { "created": "Mon, 12 Aug 2019 05:16:22 GMT", "version": "v2" } ]

2019-08-13

[ [ "Fluder", "Martin", "" ], [ "Hosseini", "Seyed Morteza", "" ], [ "Uhlemann", "Christoph F.", "" ] ]

We use recently established AdS$_6$/CFT$_5$ dualities to count the microstates of magnetically charged AdS$_6 \times S^2 \times \Sigma$ black holes in Type IIB. The near-horizon limit is described by solutions with AdS$_2 \times \Sigma_{\mathfrak{g}_1} \times \Sigma_{\mathfrak{g}_2} \times S^2 \times \Sigma$ geometry, where $\Sigma_{\mathfrak{g}_i}$ are Riemann surfaces of constant curvature and $\Sigma$ is a further Riemann surface over which the geometry is warped. Our results show that the topologically twisted indices of the proposed dual superconformal field theories precisely reproduce the Bekenstein-Hawking entropy of this class of black holes. This provides further support for a prescription to compute five-dimensional topologically twisted indices put forth recently, and for the proposed dualities. We confirm the $N^4$ scaling found in the sphere partition functions and extend previous matches of sphere partition functions to AdS$_6$ solutions with monodromy.

4.94755

4.845744

6.214123

4.669436

4.979507

4.653959

4.933644

4.855217

4.784083

6.485089

4.48836

4.771255

5.451131

4.74382

4.762657

4.715503

4.795887

4.749362

4.858892

5.26834

4.791503

hep-th/0703240

Diptiman Sen

B. Basu-Mallick, Nilanjan Bondyopadhaya, Kazuhiro Hikami, Diptiman Sen

Boson-fermion duality in SU(m|n) supersymmetric Haldane-Shastry spin chain

26 pages, no figures; corrected some typos

Nucl.Phys.B782:276-295,2007

10.1016/j.nuclphysb.2007.05.007

null

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

null

By using the Y(gl(m|n)) super Yangian symmetry of the SU(m|n) supersymmetric Haldane-Shastry spin chain, we show that the partition function of this model satisfies a duality relation under the exchange of bosonic and fermionic spin degrees of freedom. As a byproduct of this study of the duality relation, we find a novel combinatorial formula for the super Schur polynomials associated with some irreducible representations of the Y(gl(m|n)) Yangian algebra. Finally, we reveal an intimate connection between the global SU(m|n) symmetry of a spin chain and the boson-fermion duality relation.

[ { "created": "Tue, 27 Mar 2007 04:21:46 GMT", "version": "v1" }, { "created": "Tue, 11 Sep 2007 03:38:55 GMT", "version": "v2" } ]

2010-11-11

[ [ "Basu-Mallick", "B.", "" ], [ "Bondyopadhaya", "Nilanjan", "" ], [ "Hikami", "Kazuhiro", "" ], [ "Sen", "Diptiman", "" ] ]

By using the Y(gl(m|n)) super Yangian symmetry of the SU(m|n) supersymmetric Haldane-Shastry spin chain, we show that the partition function of this model satisfies a duality relation under the exchange of bosonic and fermionic spin degrees of freedom. As a byproduct of this study of the duality relation, we find a novel combinatorial formula for the super Schur polynomials associated with some irreducible representations of the Y(gl(m|n)) Yangian algebra. Finally, we reveal an intimate connection between the global SU(m|n) symmetry of a spin chain and the boson-fermion duality relation.

5.487042

5.246921

6.637195

4.915101

5.177299

5.190473

5.123955

5.282521

5.335974

6.684349

4.925987

5.232735

5.398838

5.028722

4.957549

4.887987

4.90836

5.082372

5.032114

5.418231

4.910603

1111.2178

Jos\'e Roberto Vidal Madrid

Enrique \'Alvarez, Roberto Vidal

Vacuum Energy Decay

4 pages, 1 figure, to appear in the proceedings of the 15th Lomonosov Conference on Elementary Particle Physics

null

hep-th

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

The problem of the vacuum energy decay is studied through the analysis of the vacuum survival amplitude ${\mathcal A}(z, z')$. Transition amplitudes are computed for finite time-span, $Z\equiv z^\prime-z$, and their {\em late time} behavior is discussed up to first order in the coupling constant, $\l$.

[ { "created": "Wed, 9 Nov 2011 11:43:28 GMT", "version": "v1" } ]

2011-11-10

[ [ "Álvarez", "Enrique", "" ], [ "Vidal", "Roberto", "" ] ]

The problem of the vacuum energy decay is studied through the analysis of the vacuum survival amplitude ${\mathcal A}(z, z')$. Transition amplitudes are computed for finite time-span, $Z\equiv z^\prime-z$, and their {\em late time} behavior is discussed up to first order in the coupling constant, $\l$.

18.491144

12.195403

16.338442

14.763395

15.983956

12.269

14.9234

13.881769

14.381501

16.730211

16.081034

15.599128

17.036781

16.448101

16.24025

16.088064

16.500938

17.176559

17.210075

17.359106

16.614021

1611.08011

Zi-qiang Zhang

Zi-qiang Zhang, Chong Ma, De-fu Hou and Gang Chen

Entropic destruction of a rotating heavy quarkonium

null

hep-th hep-ph

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

Using the AdS/CFT duality, we study the destruction of a rotating heavy quarkonium due to the entropice force in $\mathcal{N}=4$ SYM theory and a confining YM theory. It is shown that in both theories increasing the angular velocity leads to decreasing the entropic force. This result implies that the rotating quarkonium dissociates harder than the static case.

[ { "created": "Thu, 17 Nov 2016 01:14:19 GMT", "version": "v1" } ]

2016-11-28

[ [ "Zhang", "Zi-qiang", "" ], [ "Ma", "Chong", "" ], [ "Hou", "De-fu", "" ], [ "Chen", "Gang", "" ] ]

Using the AdS/CFT duality, we study the destruction of a rotating heavy quarkonium due to the entropice force in $\mathcal{N}=4$ SYM theory and a confining YM theory. It is shown that in both theories increasing the angular velocity leads to decreasing the entropic force. This result implies that the rotating quarkonium dissociates harder than the static case.

9.838733

8.186683

7.571166

6.85463

6.965736

7.544795

7.557607

7.15489

7.24625

10.079397

7.607202

8.445991

8.16556

7.848601

7.775175

8.03148

7.75823

7.957547

7.965187

8.473887

8.161984

0905.2534

Timothy J. Hollowood

Timothy J. Hollowood and J. Luis Miramontes

A New and Elementary CP^n Dyonic Magnon

21 pages, JHEP3, typos corrected

JHEP 0908:109,2009

10.1088/1126-6708/2009/08/109

null

hep-th

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

We show that the dressing transformation method produces a new type of dyonic CP^n magnon in terms of which all the other known solutions are either composites or arise as special limits. In particular, this includes the embedding of Dorey's dyonic magnon via an RP^3 subspace of CP^n. We also show how to generate Dorey's dyonic magnon directly in the S^n sigma model via the dressing method without resorting to the isomorphism with the SU(2) principle chiral model when n=3. The new dyon is shown to be either a charged dyon or topological kink of the related symmetric-space sine-Gordon theories associated to CP^n and in this sense is a direct generalization of the soliton of the complex sine-Gordon theory.

[ { "created": "Fri, 15 May 2009 13:20:38 GMT", "version": "v1" }, { "created": "Tue, 30 Jun 2009 12:39:03 GMT", "version": "v2" } ]

2009-09-28

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

We show that the dressing transformation method produces a new type of dyonic CP^n magnon in terms of which all the other known solutions are either composites or arise as special limits. In particular, this includes the embedding of Dorey's dyonic magnon via an RP^3 subspace of CP^n. We also show how to generate Dorey's dyonic magnon directly in the S^n sigma model via the dressing method without resorting to the isomorphism with the SU(2) principle chiral model when n=3. The new dyon is shown to be either a charged dyon or topological kink of the related symmetric-space sine-Gordon theories associated to CP^n and in this sense is a direct generalization of the soliton of the complex sine-Gordon theory.

11.635947

12.543897

13.689673

11.271465

12.532135

12.255172

11.26584

11.560049

11.600624

14.596257

11.387027

11.374829

11.854127

11.40751

11.592486

11.583621

11.423907

11.541746

11.637953

11.773406

11.20787

1105.3487

Christoph Sieg

Elli Pomoni, Christoph Sieg

From N=4 gauge theory to N=2 conformal QCD: three-loop mixing of scalar composite operators

LaTeX, feynmp, 43 pages, 2 figures, 1 table

null

hep-th

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

We derive the planar dilatation operator in the closed subsector of scalar composite operators of an N=2 superconformal quiver gauge theory to three loops. By tuning the ratio of its two gauge couplings we interpolate between a Z_2 orbifold of N=4 SYM theory and N=2 superconformal QCD. We find zeta(3) contributions at three loops that disappear when the theory is at the orbifold point. They are responsible for imaginary contributions to the dispersion relation of a single scalar excitation in the spin-chain picture. This points towards an interpretation of the individual scalar excitations as effective rather than as elementary magnons. We argue that the elementary excitations should be associated with certain fermions and covariant derivatives, and that integrability in the respective subsectors should persist at least to two loops.

[ { "created": "Tue, 17 May 2011 20:49:41 GMT", "version": "v1" } ]

2011-05-19

[ [ "Pomoni", "Elli", "" ], [ "Sieg", "Christoph", "" ] ]

We derive the planar dilatation operator in the closed subsector of scalar composite operators of an N=2 superconformal quiver gauge theory to three loops. By tuning the ratio of its two gauge couplings we interpolate between a Z_2 orbifold of N=4 SYM theory and N=2 superconformal QCD. We find zeta(3) contributions at three loops that disappear when the theory is at the orbifold point. They are responsible for imaginary contributions to the dispersion relation of a single scalar excitation in the spin-chain picture. This points towards an interpretation of the individual scalar excitations as effective rather than as elementary magnons. We argue that the elementary excitations should be associated with certain fermions and covariant derivatives, and that integrability in the respective subsectors should persist at least to two loops.

10.361244

8.121299

11.44884

8.544797

8.052579

8.040962

9.196408

7.81715

7.858715

10.510926

8.076796

9.112281

10.007236

8.947563

8.886179

8.91265

9.064967

8.925315

8.923917

9.901341

9.004272