LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1110.5075

Paul McGuirk

Hidden-sector current-current correlators in holographic gauge mediation

46 pages. Typographical errors corrected and clarifications added. Version to appear in PRD

Phys. Rev. D 85, 045025 (2012)

10.1103/PhysRevD.85.045025

MAD-TH-11-08

hep-th hep-ph

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

We discuss gauge mediation in the case where the hidden sector is strongly coupled but, via the gauge-gravity correspondence, admits a weakly-coupled description in terms of a warped higher-dimensional spacetime. In this framework, known as holographic gauge mediation, the visible-sector gauge group is realized in the gravitational description by probe D-branes and the non-supersymmetric state by normalizable perturbations to the geometry. Using the formalism of general gauge mediation, supersymmetry-breaking soft terms in the visible sector can be related to the two-point functions of the hidden-sector current superfield that couples to the visible-sector gauge group. Such correlation functions cannot be directly calculated in the strongly coupled field theory but can be determined using the gauge-gravity correspondence and holographic renormalization. We explore this procedure by considering a toy geometry where such two-point functions can be explicitly calculated. Unlike previous implementations of holographic gauge mediation where sermon masses were not calculable directly in a purely holographic framework, such terms are readily obtained via these correlators, while (due to the simplicity of the geometry considered) the visible sector gauginos remain massless to leading order in the visible-sector coupling.

[ { "created": "Sun, 23 Oct 2011 19:12:37 GMT", "version": "v1" }, { "created": "Thu, 27 Oct 2011 17:02:34 GMT", "version": "v2" }, { "created": "Fri, 13 Jan 2012 16:47:59 GMT", "version": "v3" } ]

2012-02-17

[ [ "McGuirk", "Paul", "" ] ]

We discuss gauge mediation in the case where the hidden sector is strongly coupled but, via the gauge-gravity correspondence, admits a weakly-coupled description in terms of a warped higher-dimensional spacetime. In this framework, known as holographic gauge mediation, the visible-sector gauge group is realized in the gravitational description by probe D-branes and the non-supersymmetric state by normalizable perturbations to the geometry. Using the formalism of general gauge mediation, supersymmetry-breaking soft terms in the visible sector can be related to the two-point functions of the hidden-sector current superfield that couples to the visible-sector gauge group. Such correlation functions cannot be directly calculated in the strongly coupled field theory but can be determined using the gauge-gravity correspondence and holographic renormalization. We explore this procedure by considering a toy geometry where such two-point functions can be explicitly calculated. Unlike previous implementations of holographic gauge mediation where sermon masses were not calculable directly in a purely holographic framework, such terms are readily obtained via these correlators, while (due to the simplicity of the geometry considered) the visible sector gauginos remain massless to leading order in the visible-sector coupling.

9.449625

10.966598

10.504578

9.698409

10.218636

10.730836

10.856468

10.399275

9.611666

10.712644

9.475491

9.146155

9.937708

9.412311

9.680845

9.44986

9.738929

9.464898

9.663347

10.14699

9.576175

hep-th/0403093

Brett D. Altschul

B. Altschul

Nonpolynomial Normal Modes of the Renormalization Group in the Presence of a Constant Vector Potential Background

12 pages

Nucl.Phys. B705 (2005) 593-604

10.1016/j.nuclphysb.2004.10.054

IUHET-467

hep-th

null

We examine the renormalization group flow in the vicinity of the free-field fixed point for effective field theories in the presence of a constant, nondynamical vector potential background. The interaction with this vector potential represents the simplest possible form of Lorentz violation. We search for any normal modes of the flow involving nonpolynomial interactions. For scalar fields, the inclusion of the vector potential modifies the known modes only through a change in the field strength renormalization. For fermionic theories, where an infinite number of particle species are required in order for nonpolynomial interactions to be possible, we find no evidence for any analogous relevant modes. These results are consistent with the idea that the vector potential interaction, which may be eliminated from the action by a gauge transformation, should have no physical effects.

[ { "created": "Mon, 8 Mar 2004 20:07:41 GMT", "version": "v1" } ]

2010-04-05

[ [ "Altschul", "B.", "" ] ]

We examine the renormalization group flow in the vicinity of the free-field fixed point for effective field theories in the presence of a constant, nondynamical vector potential background. The interaction with this vector potential represents the simplest possible form of Lorentz violation. We search for any normal modes of the flow involving nonpolynomial interactions. For scalar fields, the inclusion of the vector potential modifies the known modes only through a change in the field strength renormalization. For fermionic theories, where an infinite number of particle species are required in order for nonpolynomial interactions to be possible, we find no evidence for any analogous relevant modes. These results are consistent with the idea that the vector potential interaction, which may be eliminated from the action by a gauge transformation, should have no physical effects.

11.050043

11.61532

11.753417

10.993674

11.502239

11.428435

10.830193

10.96057

10.695292

12.008114

11.148108

10.640849

10.807223

10.905861

10.594074

10.955781

10.609138

10.582371

10.725966

10.780455

10.452121

1901.08161

Simone Speziale

Maciej Dunajski, Miklos L{\aa}ngvik, Simone Speziale

An octahedron of complex null rays, and conformal symmetry breaking

10 pages, 4 figures. v2: expanded introduction and conclusions

Phys. Rev. D 99, 104064 (2019)

10.1103/PhysRevD.99.104064

null

hep-th gr-qc

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

We show how the manifold $T^*SU(2, 2)$ arises as a symplectic reduction from eight copies of the twistor space. Some of the constraints in the twistor space correspond to an octahedral configuration of twelve complex light rays in the Minkowski space. We discuss a mechanism to break the conformal symmetry down to the twistorial parametrisation of $T^*SL(2, C)$ used in loop quantum gravity.

[ { "created": "Wed, 23 Jan 2019 22:57:42 GMT", "version": "v1" }, { "created": "Thu, 16 May 2019 20:59:23 GMT", "version": "v2" } ]

2019-06-05

[ [ "Dunajski", "Maciej", "" ], [ "Långvik", "Miklos", "" ], [ "Speziale", "Simone", "" ] ]

We show how the manifold $T^*SU(2, 2)$ arises as a symplectic reduction from eight copies of the twistor space. Some of the constraints in the twistor space correspond to an octahedral configuration of twelve complex light rays in the Minkowski space. We discuss a mechanism to break the conformal symmetry down to the twistorial parametrisation of $T^*SL(2, C)$ used in loop quantum gravity.

10.78085

11.32303

11.860951

10.059408

11.43802

11.356787

11.041451

10.418555

10.832547

12.576262

11.112733

10.908545

10.981262

10.586335

10.657925

10.30399

10.68684

10.021025

10.281399

10.679642

9.878724

hep-th/0503044

Paschalis Anastasopoulos

P. Anastasopoulos (Crete U, Ecole Polytechnique) and A. B. Hammou (Crete U, USTO)

A Classification of Toroidal Orientifold Models

35 pages, 3 eps figures, Latex2e

Nucl.Phys.B729:49-78,2005

10.1016/j.nuclphysb.2005.09.006

null

hep-th

null

We develop the general tools for model building with orientifolds, including SS supersymmetry breaking. In this paper, we work out the general formulae of the tadpole conditions for a class of non supersymmetric orientifold models of type IIB string theory compactified on $T^6$, based on the general properties of the orientifold group elements. By solving the tadpoles we obtain the general anomaly free massless spectrum.

[ { "created": "Fri, 4 Mar 2005 17:26:46 GMT", "version": "v1" } ]

2008-11-26

[ [ "Anastasopoulos", "P.", "", "Crete U, Ecole Polytechnique" ], [ "Hammou", "A. B.", "", "Crete U, USTO" ] ]

We develop the general tools for model building with orientifolds, including SS supersymmetry breaking. In this paper, we work out the general formulae of the tadpole conditions for a class of non supersymmetric orientifold models of type IIB string theory compactified on $T^6$, based on the general properties of the orientifold group elements. By solving the tadpoles we obtain the general anomaly free massless spectrum.

10.728765

9.287312

10.503784

8.779323

9.602722

9.108211

9.712094

9.01146

9.64741

11.530981

9.519728

9.502415

10.047556

9.243341

9.415972

9.074252

9.00141

9.366008

9.040961

9.417729

9.200706

0708.1077

Satoshi Nagaoka

Yoshihisa Kitazawa and Satoshi Nagaoka

Green-Schwarz superstring from type IIB matrix model

5 pages, 3 figures, minor revisions

Phys.Rev.D77:026009,2008

10.1103/PhysRevD.77.026009

KEK-TH-1168

hep-th

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

We construct Green-Schwarz (GS) light-cone closed superstring theory from type IIB matrix model. A GS light-cone string action is derived from two dimensional N=8 U(n) noncommutative Yang-Mills (NCYM) by identifying noncommutative scale with string scale. Supersymmetry transformation for the light-cone gauge action is also derived from supersymmetry transformation for IIB matrix model. By identifying the physical states and interaction vertices, string theory is perturbatively reproduced.

[ { "created": "Wed, 8 Aug 2007 10:44:37 GMT", "version": "v1" }, { "created": "Wed, 1 Apr 2009 07:01:05 GMT", "version": "v2" } ]

2009-04-01

[ [ "Kitazawa", "Yoshihisa", "" ], [ "Nagaoka", "Satoshi", "" ] ]

We construct Green-Schwarz (GS) light-cone closed superstring theory from type IIB matrix model. A GS light-cone string action is derived from two dimensional N=8 U(n) noncommutative Yang-Mills (NCYM) by identifying noncommutative scale with string scale. Supersymmetry transformation for the light-cone gauge action is also derived from supersymmetry transformation for IIB matrix model. By identifying the physical states and interaction vertices, string theory is perturbatively reproduced.

9.991526

8.944607

10.568618

7.89756

8.512592

8.330406

8.580396

8.28223

7.491356

12.849422

7.953192

8.373141

9.960437

8.620416

8.931189

8.526323

8.42651

8.947734

8.742642

9.713646

8.734579

2002.02993

Takaki Matsumoto

Hiroyuki Adachi, Goro Ishiki, Takaki Matsumoto, Kaishu Saito

The matrix regularization for Riemann surfaces with magnetic fluxes

42 pages, 1 figure; v3: some references and 1 figure with some comments added, minor modifications

Phys. Rev. D 101, 106009 (2020)

10.1103/PhysRevD.101.106009

UTHEP-746, DIAS-STP-20-02

hep-th

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

We consider the matrix regularization of fields on a Riemann surface which couple to gauge fields with a nonvanishing magnetic flux. We show that such fields are described as rectangular matrices in the matrix regularization. We construct the matrix regularization explicitly for the case of the sphere and torus based on the Berezin-Toeplitz quantization, and also discuss a possible generalization to cases with higher genera. We also discuss the matrix version of the Laplacian acting on the rectangular matrices.

[ { "created": "Fri, 7 Feb 2020 19:48:22 GMT", "version": "v1" }, { "created": "Fri, 21 Feb 2020 21:59:30 GMT", "version": "v2" }, { "created": "Wed, 6 May 2020 17:10:37 GMT", "version": "v3" } ]

2020-05-13

[ [ "Adachi", "Hiroyuki", "" ], [ "Ishiki", "Goro", "" ], [ "Matsumoto", "Takaki", "" ], [ "Saito", "Kaishu", "" ] ]

We consider the matrix regularization of fields on a Riemann surface which couple to gauge fields with a nonvanishing magnetic flux. We show that such fields are described as rectangular matrices in the matrix regularization. We construct the matrix regularization explicitly for the case of the sphere and torus based on the Berezin-Toeplitz quantization, and also discuss a possible generalization to cases with higher genera. We also discuss the matrix version of the Laplacian acting on the rectangular matrices.

9.777088

7.46778

9.919793

7.461961

7.908822

7.842151

8.167313

7.116316

7.277993

11.120426

7.746693

7.752472

9.827615

8.337201

8.118393

7.948904

7.721361

8.19066

7.969977

9.441113

7.883317

1903.06633

Fidel I. Schaposnik Massolo

Frank Ferrari and Fidel I. Schaposnik Massolo

Phases Of Melonic Quantum Mechanics

135 pages, 50 figures, 2 tables. Minor corrections and updated list of references in v3. Title changed to match published version

Phys. Rev. D 100, 026007 (2019)

10.1103/PhysRevD.100.026007

null

hep-th cond-mat.str-el

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

We explore in detail the properties of two melonic quantum mechanical theories which can be formulated either as fermionic matrix quantum mechanics in the new large $D$ limit, or as disordered models. Both models have a mass parameter $m$ and the transition from the perturbative large $m$ region to the strongly coupled "black-hole" small $m$ region is associated with several interesting phenomena. One model, with ${\rm U}(n)^2$ symmetry and equivalent to complex SYK, has a line of first-order phase transitions terminating, for a strictly positive temperature, at a critical point having non-trivial, non-mean-field critical exponents for standard thermodynamical quantities. Quasi-normal frequencies, as well as Lyapunov exponents associated with out-of-time-ordered four-point functions, are also singular at the critical point, leading to interesting new critical exponents. The other model, with reduced ${\rm U}(n)$ symmetry, has a quantum critical point at strictly zero temperature and positive critical mass $m_*$. For $0<m<m_*$, it flows to a new gapless IR fixed point, for which the standard scale invariance is spontaneously broken by the appearance of distinct scaling dimensions $\Delta_+$ and $\Delta_-$ for the Euclidean two-point function when $t\rightarrow +\infty$ and $t\rightarrow -\infty$ respectively. We provide several detailed and pedagogical derivations, including rigorous proofs or simplified arguments for some results that were already known in the literature.

[ { "created": "Fri, 15 Mar 2019 16:20:09 GMT", "version": "v1" }, { "created": "Tue, 9 Apr 2019 09:34:31 GMT", "version": "v2" }, { "created": "Thu, 27 Jun 2019 09:40:49 GMT", "version": "v3" } ]

2019-07-24

[ [ "Ferrari", "Frank", "" ], [ "Massolo", "Fidel I. Schaposnik", "" ] ]

We explore in detail the properties of two melonic quantum mechanical theories which can be formulated either as fermionic matrix quantum mechanics in the new large $D$ limit, or as disordered models. Both models have a mass parameter $m$ and the transition from the perturbative large $m$ region to the strongly coupled "black-hole" small $m$ region is associated with several interesting phenomena. One model, with ${\rm U}(n)^2$ symmetry and equivalent to complex SYK, has a line of first-order phase transitions terminating, for a strictly positive temperature, at a critical point having non-trivial, non-mean-field critical exponents for standard thermodynamical quantities. Quasi-normal frequencies, as well as Lyapunov exponents associated with out-of-time-ordered four-point functions, are also singular at the critical point, leading to interesting new critical exponents. The other model, with reduced ${\rm U}(n)$ symmetry, has a quantum critical point at strictly zero temperature and positive critical mass $m_*$. For $0<m<m_*$, it flows to a new gapless IR fixed point, for which the standard scale invariance is spontaneously broken by the appearance of distinct scaling dimensions $\Delta_+$ and $\Delta_-$ for the Euclidean two-point function when $t\rightarrow +\infty$ and $t\rightarrow -\infty$ respectively. We provide several detailed and pedagogical derivations, including rigorous proofs or simplified arguments for some results that were already known in the literature.

7.445509

8.131077

8.045959

7.820652

8.440133

7.873544

8.347036

8.252438

7.655609

8.342227

7.518172

7.577594

7.590417

7.341686

7.391979

7.618512

7.584249

7.719223

7.356177

7.565479

7.412614

hep-th/0601098

Richard Andrews

R.P. Andrews and N. Dorey

Deconstruction of the Maldacena-Nunez Compactification

50 Pages. Font size increased. Corrections made to Sections 5 and 6

Nucl.Phys.B751:304-341,2006

10.1016/j.nuclphysb.2006.06.013

SWAT/06/455

hep-th

null

We demonstrate a classical equivalence between the large-N limit of the Higgsed N=1* SUSY U(N) Yang-Mills theory and the Maldacena-Nunez twisted compactification of a six dimensional gauge theory on a two-sphere. A direct comparison of the actions and spectra of the two theories reveals them to be identical. We also propose a gauge theory limit which should describe the corresponding spherical compactification of Little String Theory.

[ { "created": "Mon, 16 Jan 2006 16:08:02 GMT", "version": "v1" }, { "created": "Fri, 28 Apr 2006 15:01:48 GMT", "version": "v2" } ]

2008-11-26

[ [ "Andrews", "R. P.", "" ], [ "Dorey", "N.", "" ] ]

We demonstrate a classical equivalence between the large-N limit of the Higgsed N=1* SUSY U(N) Yang-Mills theory and the Maldacena-Nunez twisted compactification of a six dimensional gauge theory on a two-sphere. A direct comparison of the actions and spectra of the two theories reveals them to be identical. We also propose a gauge theory limit which should describe the corresponding spherical compactification of Little String Theory.

11.020466

9.328266

12.018838

9.103106

10.023991

8.879503

8.928316

9.353957

8.837352

12.68681

9.814451

9.185158

11.120103

9.565544

10.106173

9.656887

9.461835

9.716235

9.96345

11.053638

9.500299

hep-th/0309033

Bo Hu

R. Arnowitt, B. Dutta, B. Hu

Yukawa Textures, Neutrino Masses and Horava-Witten M-Theory

24 pages, 4 figures. Minor changes, references added. Some discussion on neutrino mass generating mechanism added; no other change. Accepted for publication in Nucl. Phys. B

Nucl.Phys.B682:347-366,2004

10.1016/j.nuclphysb.2004.01.029

null

hep-th hep-ph

null

We consider the Horava-Witten based model with 5-branes situated near the distant orbifold plane and with vanishing instanton numbers on the physical plane. This model has a toric fibered Calabi-Yau with del Pezzo base dP_7 which allows three generations with Standard Model gauge group at the GUT scale. Previous analysis showed that the quark hierarchy at the electroweak scale could be achieved qualitatively without undue fine tuning due to the effects of the 5-branes on the Kahler potential. We extend here this analysis to include the leptons. A new mechanism is introduced to obtain neutrino masses by assuming massless right handed neutrinos exist in the particle spectrum, which allows a cubic holomorphic term to exist in the Kahler metric, l_L*H_2*nu_R, scaled by the 11D Planck mass. After transferring this term to the superpotential, this term gives rise to neutrino masses of the correct size at the electroweak scale. With natural choices of the Yukawa and Kahler matrix entries, it is possible to fit all mass, CKM and MNS experimental data. The model predicts mu -> e + gamma decay at a rate that should be detectable for much of the SUSY parameter space in the next round of experiments.

[ { "created": "Tue, 2 Sep 2003 20:39:32 GMT", "version": "v1" }, { "created": "Thu, 11 Sep 2003 19:57:33 GMT", "version": "v2" }, { "created": "Mon, 26 Jan 2004 21:56:32 GMT", "version": "v3" } ]

2008-11-26

[ [ "Arnowitt", "R.", "" ], [ "Dutta", "B.", "" ], [ "Hu", "B.", "" ] ]

We consider the Horava-Witten based model with 5-branes situated near the distant orbifold plane and with vanishing instanton numbers on the physical plane. This model has a toric fibered Calabi-Yau with del Pezzo base dP_7 which allows three generations with Standard Model gauge group at the GUT scale. Previous analysis showed that the quark hierarchy at the electroweak scale could be achieved qualitatively without undue fine tuning due to the effects of the 5-branes on the Kahler potential. We extend here this analysis to include the leptons. A new mechanism is introduced to obtain neutrino masses by assuming massless right handed neutrinos exist in the particle spectrum, which allows a cubic holomorphic term to exist in the Kahler metric, l_L*H_2*nu_R, scaled by the 11D Planck mass. After transferring this term to the superpotential, this term gives rise to neutrino masses of the correct size at the electroweak scale. With natural choices of the Yukawa and Kahler matrix entries, it is possible to fit all mass, CKM and MNS experimental data. The model predicts mu -> e + gamma decay at a rate that should be detectable for much of the SUSY parameter space in the next round of experiments.

10.81089

11.691527

10.830156

10.336129

11.077247

12.851256

11.657329

11.884602

10.17982

11.437656

11.147405

10.693903

10.944182

10.627595

11.066326

11.080379

11.053285

11.210955

10.877488

11.45716

10.802128

hep-th/0106238

P. S. Howe

P.J. Heslop and P.S. Howe

A note on composite operators in N=4 SYM

12 pages

Phys.Lett.B516:367-375,2001

10.1016/S0370-2693(01)00961-3

null

hep-th

null

We discuss composite operators in N=4 super Yang-Mills theory and their realisations as superfields on different superspaces. The superfields that realise various operators on analytic superspace may be different in the free, interacting and quantum theories. In particular, in the quantum theory, there is a restricted class of operators that can be written as analytic tensor superfields. This class includes all series B and C operators in the theory as well as some series A operators which saturate the unitarity bounds. Operators of this type are expected to be protected from renormalisation.

[ { "created": "Tue, 26 Jun 2001 13:57:36 GMT", "version": "v1" } ]

2011-07-19

[ [ "Heslop", "P. J.", "" ], [ "Howe", "P. S.", "" ] ]

We discuss composite operators in N=4 super Yang-Mills theory and their realisations as superfields on different superspaces. The superfields that realise various operators on analytic superspace may be different in the free, interacting and quantum theories. In particular, in the quantum theory, there is a restricted class of operators that can be written as analytic tensor superfields. This class includes all series B and C operators in the theory as well as some series A operators which saturate the unitarity bounds. Operators of this type are expected to be protected from renormalisation.

9.151369

9.600886

10.778383

9.040056

8.352113

8.45916

9.217036

9.504086

9.188811

9.997936

8.607158

8.677428

9.449796

8.91672

8.538136

9.261497

8.989362

8.685877

8.722971

9.032354

8.731843

1209.2573

Wagner Utiel

N-points correlator for the Gaudin's model realization of a Quantum Hall Fluid

The paper has been withdraw by the author because a new version is been written to better emphasize in this review the use of the off-shell Bethe ansatz approach to obtain solutions of the KZ equation in a more easy way than the approach used in Hou et all(arXiv:hep-th/0210173)

null

hep-th

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

We study the Gaudin's model realization of a incompressible quantum Hall fluid on torus. We solve the model using the so called off-shell algebraic Bethe ansatz for a general spin representation. The n-points correlators also was computed as a solution of the Kznihik-Zamolodchikov equations. This explore a possible connection between low energy D-brane physics with the low dimension integrable models.

[ { "created": "Wed, 12 Sep 2012 11:34:12 GMT", "version": "v1" }, { "created": "Fri, 14 Sep 2012 12:08:35 GMT", "version": "v2" } ]

2012-09-17

[ [ "Utiel", "Wagner", "" ] ]

We study the Gaudin's model realization of a incompressible quantum Hall fluid on torus. We solve the model using the so called off-shell algebraic Bethe ansatz for a general spin representation. The n-points correlators also was computed as a solution of the Kznihik-Zamolodchikov equations. This explore a possible connection between low energy D-brane physics with the low dimension integrable models.

25.255674

21.987835

29.187128

22.93187

24.850161

24.705734

22.023371

23.12405

21.38007

32.330124

21.454603

22.143045

24.635942

22.379885

22.974852

22.714527

23.147928

24.602415

22.150162

24.405413

22.614176

1904.05477

Alexander Kovner

Candost Akkaya and Alex Kovner (University of Connecticut)

On Entanglement Entropy of Maxwell fields in 3+1 dimensions

An algebraic error corrected. Results significantly changed

null

10.1016/j.physletb.2020.135670

null

hep-th hep-ph

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

We consider entanglement entropy between two halves of space separated by a plane, in the theory of free photon in 3+1 dimensions. We show how to separate local gauge invariant quantities that belong to the two spatial regions. We calculate the entanglement entropy by integrating over the degrees of freedom in one half space using an approximation that assumes slow variation of the magnetic fields in longitudinal direction. We find that the entropy is proportional to the transverse area as expected. Interestingly the entanglement properties of the 2D transverse and longitudinal modes of magnetic field are quite different. While the transverse fields are entangled mostly in the neighborhood of the separation surface as expected, the longitudinal fields are entangled through an infrared mode which extends to large distances from the entanglement surface. This long range entanglement arises due to necessity to solve the no-monopole constraint condition for magnetic field.

[ { "created": "Wed, 10 Apr 2019 23:28:31 GMT", "version": "v1" }, { "created": "Fri, 2 Aug 2019 08:04:27 GMT", "version": "v2" } ]

2020-08-05

[ [ "Akkaya", "Candost", "", "University of Connecticut" ], [ "Kovner", "Alex", "", "University of Connecticut" ] ]

We consider entanglement entropy between two halves of space separated by a plane, in the theory of free photon in 3+1 dimensions. We show how to separate local gauge invariant quantities that belong to the two spatial regions. We calculate the entanglement entropy by integrating over the degrees of freedom in one half space using an approximation that assumes slow variation of the magnetic fields in longitudinal direction. We find that the entropy is proportional to the transverse area as expected. Interestingly the entanglement properties of the 2D transverse and longitudinal modes of magnetic field are quite different. While the transverse fields are entangled mostly in the neighborhood of the separation surface as expected, the longitudinal fields are entangled through an infrared mode which extends to large distances from the entanglement surface. This long range entanglement arises due to necessity to solve the no-monopole constraint condition for magnetic field.

10.687614

10.800184

10.374599

9.71966

11.259613

10.876384

10.339982

9.859639

9.824919

10.917474

9.444381

10.003835

9.891352

9.828691

9.787206

9.910099

9.889422

10.052958

9.797932

10.003185

9.636675

hep-th/9607161

null

L. Frappat, A. Sciarrino, P. Sorba

Dictionary on Lie Superalgebras

145p LaTeX Document, also available at http://lapphp0.in2p3.fr/preplapp/psth/DICTIONARY_SUPER.ps.gz

null

ENSLAPP-AL-600/96 and DSF-T-30/96

hep-th

null

The main definitions and properties of Lie superalgebras are proposed a la facon de a short dictionary, the different items following the alphabetical order. The main topics deal with the structure of simple Lie superalgebras and their finite dimensional representations; rather naturally, a few pages are devoted to supersymmetry. This modest booklet has two ambitious goals: to be elementary and easy to use. The beginner is supposed to find out here the main concepts on superalgebras, while a more experimented theorist should recognize the necessary tools and informations for a specific use.

[ { "created": "Thu, 18 Jul 1996 18:38:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "Frappat", "L.", "" ], [ "Sciarrino", "A.", "" ], [ "Sorba", "P.", "" ] ]

The main definitions and properties of Lie superalgebras are proposed a la facon de a short dictionary, the different items following the alphabetical order. The main topics deal with the structure of simple Lie superalgebras and their finite dimensional representations; rather naturally, a few pages are devoted to supersymmetry. This modest booklet has two ambitious goals: to be elementary and easy to use. The beginner is supposed to find out here the main concepts on superalgebras, while a more experimented theorist should recognize the necessary tools and informations for a specific use.

20.093939

21.497952

19.747517

21.807629

20.050276

22.48148

22.313486

18.672785

20.019623

23.047977

19.736149

20.337667

20.607224

19.547567

20.144728

19.164246

19.391422

18.932983

18.814795

20.361082

19.223154

hep-th/0212323

Christopher Pope

H. Lu, C.N. Pope and E. Sezgin

SU(2) Reduction of Six-dimensional (1,0) Supergravity

Latex, 24 pages

Nucl.Phys.B668:237-257,2003

10.1016/S0550-3213(03)00534-0

null

hep-th

null

We obtain a gauged supergravity theory in three dimensions with eight real supersymmetries by means of a Scherk-Schwarz reduction of pure N=(1,0) supergravity in six dimension on the SU(2) group manifold. The SU(2) Yang-Mills fields in the model propagate, since they have an ordinary kinetic term in addition to Chern-Simons couplings. The other propagating degrees of freedom consist of a dilaton, five scalars which parameterise the coset SL(3,R)/SO(3), three vector fields in the adjoint of SU(2), and twelve spin 1/2 fermions. The model admits an AdS_3 vacuum solution. We also show how a charged black hole solution can be obtained, by performing a dimensional reduction of the rotating self-dual string of six-dimensional (1,0) supergravity.

[ { "created": "Sun, 29 Dec 2002 00:38:36 GMT", "version": "v1" } ]

2009-10-07

[ [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ], [ "Sezgin", "E.", "" ] ]

We obtain a gauged supergravity theory in three dimensions with eight real supersymmetries by means of a Scherk-Schwarz reduction of pure N=(1,0) supergravity in six dimension on the SU(2) group manifold. The SU(2) Yang-Mills fields in the model propagate, since they have an ordinary kinetic term in addition to Chern-Simons couplings. The other propagating degrees of freedom consist of a dilaton, five scalars which parameterise the coset SL(3,R)/SO(3), three vector fields in the adjoint of SU(2), and twelve spin 1/2 fermions. The model admits an AdS_3 vacuum solution. We also show how a charged black hole solution can be obtained, by performing a dimensional reduction of the rotating self-dual string of six-dimensional (1,0) supergravity.

5.634469

5.472931

6.275769

5.479073

5.164541

5.273886

5.462121

5.683585

5.43263

5.976508

5.429872

5.628936

5.723843

5.351583

5.467284

5.485954

5.313282

5.525131

5.391374

5.575479

5.355908

1706.09057

Wojciech Dybalski

From Faddeev-Kulish to LSZ. Towards a non-perturbative description of colliding electrons

12 pages, 1 figure

Nuclear Physics B 925, 455-469 (2017)

10.1016/j.nuclphysb.2017.10.018

null

hep-th math-ph math.MP

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

In a low energy approximation of the massless Yukawa theory (Nelson model) we derive a Faddeev-Kulish type formula for the scattering matrix of $N$ electrons and reformulate it in LSZ terms. To this end, we perform a decomposition of the infrared finite Dollard modifier into clouds of real and virtual photons, whose infrared divergencies mutually cancel. We point out that in the original work of Faddeev and Kulish the clouds of real photons are omitted, and consequently their scattering matrix is ill-defined on the Fock space of free electrons. To support our observations, we compare our final LSZ expression for $N=1$ with a rigorous non-perturbative construction due to Pizzo. While our discussion contains some heuristic steps, they can be formulated as clear-cut mathematical conjectures.

[ { "created": "Tue, 27 Jun 2017 21:44:13 GMT", "version": "v1" } ]

2021-04-23

[ [ "Dybalski", "Wojciech", "" ] ]

In a low energy approximation of the massless Yukawa theory (Nelson model) we derive a Faddeev-Kulish type formula for the scattering matrix of $N$ electrons and reformulate it in LSZ terms. To this end, we perform a decomposition of the infrared finite Dollard modifier into clouds of real and virtual photons, whose infrared divergencies mutually cancel. We point out that in the original work of Faddeev and Kulish the clouds of real photons are omitted, and consequently their scattering matrix is ill-defined on the Fock space of free electrons. To support our observations, we compare our final LSZ expression for $N=1$ with a rigorous non-perturbative construction due to Pizzo. While our discussion contains some heuristic steps, they can be formulated as clear-cut mathematical conjectures.

11.174019

12.866647

13.316751

11.451818

12.607117

12.064495

13.608722

12.241745

12.275847

13.167986

11.385448

11.201144

11.460373

11.131687

11.117593

11.00258

11.285039

11.568138

10.818566

11.304372

11.378368

1209.4043

Paul de Medeiros

Rigid supersymmetry, conformal coupling and twistor spinors

30 pages, v2: Reference added and a few typos corrected, minor clarifications in sections 1 and 8.1

null

hep-th

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

We investigate the relationship between conformal and spin structure on lorentzian manifolds and see how their compatibility influences the formulation of rigid supersymmetric field theories. In dimensions three, four, six and ten, we show that if the Dirac current associated with a generic spinor defines a null conformal Killing vector then the spinor must obey a twistor equation with respect to a certain connection with torsion. Of the theories we consider, those with classical superconformal symmetry in Minkowski space can be reformulated as rigid supersymmetric theories on any lorentzian manifold admitting twistor spinors. In dimensions six and ten, we also describe rigid supersymmetric gauge theories on bosonic minimally supersymmetric supergravity backgrounds.

[ { "created": "Tue, 18 Sep 2012 17:51:02 GMT", "version": "v1" }, { "created": "Thu, 27 Sep 2012 16:09:27 GMT", "version": "v2" } ]

2012-09-28

[ [ "de Medeiros", "Paul", "" ] ]

We investigate the relationship between conformal and spin structure on lorentzian manifolds and see how their compatibility influences the formulation of rigid supersymmetric field theories. In dimensions three, four, six and ten, we show that if the Dirac current associated with a generic spinor defines a null conformal Killing vector then the spinor must obey a twistor equation with respect to a certain connection with torsion. Of the theories we consider, those with classical superconformal symmetry in Minkowski space can be reformulated as rigid supersymmetric theories on any lorentzian manifold admitting twistor spinors. In dimensions six and ten, we also describe rigid supersymmetric gauge theories on bosonic minimally supersymmetric supergravity backgrounds.

8.860435

9.604382

9.737615

9.234702

9.772365

9.514751

9.44387

9.30439

9.228691

10.910241

9.88525

8.885515

9.063298

8.79986

8.881474

8.668036

8.673738

8.718805

8.620202

9.463155

8.823964

0903.2477

David Vegh

Hong Liu, John McGreevy and David Vegh

Non-Fermi liquids from holography

10 pages, 16 figures. v2: added references, corrected figures, some minor changes. v3: figure 5 replaced

Phys.Rev.D83:065029,2011

10.1103/PhysRevD.83.065029

MIT-CTP/4023

hep-th cond-mat.str-el

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

We report on a potentially new class of non-Fermi liquids in (2+1)-dimensions. They are identified via the response functions of composite fermionic operators in a class of strongly interacting quantum field theories at finite density, computed using the AdS/CFT correspondence. We find strong evidence of Fermi surfaces: gapless fermionic excitations at discrete shells in momentum space. The spectral weight exhibits novel phenomena, including particle-hole asymmetry, discrete scale invariance, and scaling behavior consistent with that of a critical Fermi surface postulated by Senthil.

[ { "created": "Mon, 16 Mar 2009 19:50:48 GMT", "version": "v1" }, { "created": "Tue, 31 Mar 2009 19:59:32 GMT", "version": "v2" }, { "created": "Thu, 16 Jul 2009 18:18:54 GMT", "version": "v3" } ]

2011-05-10

[ [ "Liu", "Hong", "" ], [ "McGreevy", "John", "" ], [ "Vegh", "David", "" ] ]

We report on a potentially new class of non-Fermi liquids in (2+1)-dimensions. They are identified via the response functions of composite fermionic operators in a class of strongly interacting quantum field theories at finite density, computed using the AdS/CFT correspondence. We find strong evidence of Fermi surfaces: gapless fermionic excitations at discrete shells in momentum space. The spectral weight exhibits novel phenomena, including particle-hole asymmetry, discrete scale invariance, and scaling behavior consistent with that of a critical Fermi surface postulated by Senthil.

10.316144

10.069425

10.823942

9.147152

9.499723

9.202272

9.894954

8.956053

9.240891

11.308331

8.882441

9.200131

10.756207

9.635206

9.372314

9.70013

9.697711

9.866195

9.559548

10.725654

9.145676

1509.00640

Suddhasattwa Brahma

Martin Bojowald and Suddhasattwa Brahma

Minisuperspace models as infrared contributions

31 pages

Phys. Rev. D 93, 125001 (2016)

10.1103/PhysRevD.93.125001

null

hep-th gr-qc

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

A direct correspondence of quantum mechanics as a minisuperspace model for a self-interacting scalar quantum-field theory is established by computing, in several models, the infrared contributions to 1-loop effective potentials of Coleman--Weinberg type. A minisuperspace approximation rather than truncation is thereby obtained. By this approximation, the spatial averaging scale of minisuperspace models is identified with an infrared scale (but not a regulator or cut-off) delimiting the modes included in the minisuperspace model. Some versions of the models studied here have discrete space or modifications of the Hamiltonian expected from proposals of loop quantum gravity. They shed light on the question of how minisuperspace models of quantum cosmology can capture features of full quantum gravity. While it is shown that modifications of the Hamiltonian can well be described by minisuperspace truncations, some related phenomena such as signature change, confirmed and clarified here for modified scalar field theories, require at least a perturbative treatment of inhomogeneity beyond a strict minisuperspace model. The new methods suggest a systematic extension of minisuperspace models by a canonical effective formulation of perturbative inhomogeneity.

[ { "created": "Wed, 2 Sep 2015 10:59:34 GMT", "version": "v1" } ]

2016-06-08

[ [ "Bojowald", "Martin", "" ], [ "Brahma", "Suddhasattwa", "" ] ]

A direct correspondence of quantum mechanics as a minisuperspace model for a self-interacting scalar quantum-field theory is established by computing, in several models, the infrared contributions to 1-loop effective potentials of Coleman--Weinberg type. A minisuperspace approximation rather than truncation is thereby obtained. By this approximation, the spatial averaging scale of minisuperspace models is identified with an infrared scale (but not a regulator or cut-off) delimiting the modes included in the minisuperspace model. Some versions of the models studied here have discrete space or modifications of the Hamiltonian expected from proposals of loop quantum gravity. They shed light on the question of how minisuperspace models of quantum cosmology can capture features of full quantum gravity. While it is shown that modifications of the Hamiltonian can well be described by minisuperspace truncations, some related phenomena such as signature change, confirmed and clarified here for modified scalar field theories, require at least a perturbative treatment of inhomogeneity beyond a strict minisuperspace model. The new methods suggest a systematic extension of minisuperspace models by a canonical effective formulation of perturbative inhomogeneity.

13.609191

14.042918

13.702327

12.871007

13.772593

14.656596

14.648118

12.628581

13.166439

14.271569

13.703173

13.053521

13.043718

12.928657

13.095295

13.143674

13.143784

12.866035

13.11789

13.056201

13.031086

hep-th/0501032

Robert Brandenberger

Yeuk-Kwan E. Cheung, Scott Watson, and Robert Brandenberger

Moduli Stabilization with Long Winding Strings

title changed, improved presentation; reference added. 18 pages, JHEP style

JHEP 0605 (2006) 025

10.1088/1126-6708/2006/05/025

BROWN-HET-1436, CMS 06004, MCGILL-01-05

hep-th

null

Stabilizing all of the modulus fields coming from compactifications of string theory on internal manifolds is one of the outstanding challenges for string cosmology. Here, in a simple example of toroidal compactification, we study the dynamics of the moduli fields corresponding to the size and shape of the torus along with the ambient flux and long strings winding both internal directions. It is known that a string gas containing states with non-vanishing winding and momentum number in one internal direction can stabilize the radius of this internal circle to be at self-dual radius. We show that a gas of long strings winding all internal directions can stabilize all moduli, except the dilaton which is stabilized by hand, in this simple example.

[ { "created": "Thu, 6 Jan 2005 13:52:16 GMT", "version": "v1" }, { "created": "Mon, 8 May 2006 09:07:38 GMT", "version": "v2" } ]

2009-11-11

[ [ "Cheung", "Yeuk-Kwan E.", "" ], [ "Watson", "Scott", "" ], [ "Brandenberger", "Robert", "" ] ]

Stabilizing all of the modulus fields coming from compactifications of string theory on internal manifolds is one of the outstanding challenges for string cosmology. Here, in a simple example of toroidal compactification, we study the dynamics of the moduli fields corresponding to the size and shape of the torus along with the ambient flux and long strings winding both internal directions. It is known that a string gas containing states with non-vanishing winding and momentum number in one internal direction can stabilize the radius of this internal circle to be at self-dual radius. We show that a gas of long strings winding all internal directions can stabilize all moduli, except the dilaton which is stabilized by hand, in this simple example.

10.860285

9.615735

10.548149

9.349374

9.765286

9.980638

9.013628

9.707883

9.382451

10.796909

9.110887

9.366158

9.753635

9.343946

9.243096

9.369571

9.046587

9.405991

9.4815

10.061597

9.298995

2111.02576

Chia-Kai Kuo

Song He, Chia-Kai Kuo, Yao-Qi Zhang

The momentum amplituhedron of SYM and ABJM from twistor-string maps

typos corrected, JHEP published version

null

10.1007/JHEP02(2022)148

null

hep-th math.AG

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

We study remarkable connections between twistor-string formulas for tree amplitudes in ${\cal N}=4$ SYM and ${\cal N}=6$ ABJM, and the corresponding momentum amplituhedron in the kinematic space of $D=4$ and $D=3$, respectively. Based on the Veronese map to positive Grassmannians, we define a twistor-string map from $G_{+}(2,n)$ to a $(2n{-}4)$-dimensional subspace of the 4d kinematic space where the momentum amplituhedron of SYM lives. We provide strong evidence that the twistor-string map is a diffeomorphism from $G_+(2,n)$ to the interior of momentum amplituhedron; the canonical form of the latter, which is known to give tree amplitudes of SYM, can be obtained as pushforward of that of former. We then move to three dimensions: based on Veronese map to orthogonal positive Grassmannian, we propose a similar twistor-string map from the moduli space ${\cal M}_{0,n}^+$ to a $(n{-}3)$-dimensional subspace of 3d kinematic space. The image gives a new positive geometry which conjecturally serves as the momentum amplituhedron for ABJM; its canonical form gives the tree amplitude with reduced supersymmetries in the theory. We also show how boundaries of compactified ${\cal M}_{0,n}^+$ map to boundaries of momentum amplituhedra for SYM and ABJM corresponding to factorization channels of amplitudes, and in particular for ABJM case the map beautifully excludes all unwanted channels.

[ { "created": "Thu, 4 Nov 2021 01:21:07 GMT", "version": "v1" }, { "created": "Thu, 28 Apr 2022 10:38:36 GMT", "version": "v2" } ]

2022-04-29

[ [ "He", "Song", "" ], [ "Kuo", "Chia-Kai", "" ], [ "Zhang", "Yao-Qi", "" ] ]

We study remarkable connections between twistor-string formulas for tree amplitudes in ${\cal N}=4$ SYM and ${\cal N}=6$ ABJM, and the corresponding momentum amplituhedron in the kinematic space of $D=4$ and $D=3$, respectively. Based on the Veronese map to positive Grassmannians, we define a twistor-string map from $G_{+}(2,n)$ to a $(2n{-}4)$-dimensional subspace of the 4d kinematic space where the momentum amplituhedron of SYM lives. We provide strong evidence that the twistor-string map is a diffeomorphism from $G_+(2,n)$ to the interior of momentum amplituhedron; the canonical form of the latter, which is known to give tree amplitudes of SYM, can be obtained as pushforward of that of former. We then move to three dimensions: based on Veronese map to orthogonal positive Grassmannian, we propose a similar twistor-string map from the moduli space ${\cal M}_{0,n}^+$ to a $(n{-}3)$-dimensional subspace of 3d kinematic space. The image gives a new positive geometry which conjecturally serves as the momentum amplituhedron for ABJM; its canonical form gives the tree amplitude with reduced supersymmetries in the theory. We also show how boundaries of compactified ${\cal M}_{0,n}^+$ map to boundaries of momentum amplituhedra for SYM and ABJM corresponding to factorization channels of amplitudes, and in particular for ABJM case the map beautifully excludes all unwanted channels.

5.542936

5.5765

6.399446

5.482028

5.573573

5.544722

5.756368

5.567328

5.347679

6.498801

5.23989

5.308475

5.761012

5.491014

5.518435

5.362116

5.421424

5.495379

5.392723

5.71732

5.258898

2210.12349

Anwesha Chakraborty Ms

Rabin Banerjee and Anwesha Chakraborty

Shift symmetries and duality web in gauge theories

41 Pages, 6 Tables

Nucl. Phys. B, Volume 996, 2023

10.1016/j.nuclphysb.2023.116354

116354

hep-th cond-mat.str-el

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

Using a generalised Noether prescription we are able to extract all the currents and their conservation laws in space dependent shift symmetric theories. Various identities among the currents in the matter sector are found that form the basis for revealing a dual picture when the full interacting theory is considered by coupling to gauge fields. The coupling is achieved in terms of vector fields by adhering to a modified minimal prescription which is also supported by an iterative Noether scheme. Further, this scheme shows that couplings can also be introduced using higher rank tensor gauge fields that have appeared in recent discussions on fractons. We reveal a connection among these descriptions (using vector or tensor fields) through certain duality maps that relate the various fields (gauge, electric and magnetic) in the two cases. A correspondence is established among the Gauss' law, Faraday's law and Ampere's law. Explicit calculations are provided for linear and quadratic shift symmetric lagrangians.

[ { "created": "Sat, 22 Oct 2022 04:27:17 GMT", "version": "v1" }, { "created": "Mon, 25 Sep 2023 18:37:46 GMT", "version": "v2" } ]

2023-09-27

[ [ "Banerjee", "Rabin", "" ], [ "Chakraborty", "Anwesha", "" ] ]

Using a generalised Noether prescription we are able to extract all the currents and their conservation laws in space dependent shift symmetric theories. Various identities among the currents in the matter sector are found that form the basis for revealing a dual picture when the full interacting theory is considered by coupling to gauge fields. The coupling is achieved in terms of vector fields by adhering to a modified minimal prescription which is also supported by an iterative Noether scheme. Further, this scheme shows that couplings can also be introduced using higher rank tensor gauge fields that have appeared in recent discussions on fractons. We reveal a connection among these descriptions (using vector or tensor fields) through certain duality maps that relate the various fields (gauge, electric and magnetic) in the two cases. A correspondence is established among the Gauss' law, Faraday's law and Ampere's law. Explicit calculations are provided for linear and quadratic shift symmetric lagrangians.

18.003693

17.309851

18.486938

16.41721

18.727734

18.333994

17.566902

16.991022

16.933287

20.77705

16.992847

17.175394

17.392633

16.845379

16.939445

16.864637

16.554722

16.639086

16.684713

17.79278

16.866413

1307.6856

David Poland

Filip Kos, David Poland, David Simmons-Duffin

Bootstrapping the O(N) Vector Models

26 pages, 5 figures; V2: typos corrected

JHEP 1406 (2014) 091

10.1007/JHEP06(2014)091

null

hep-th cond-mat.stat-mech

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

We study the conformal bootstrap for 3D CFTs with O(N) global symmetry. We obtain rigorous upper bounds on the scaling dimensions of the first O(N) singlet and symmetric tensor operators appearing in the $\phi_i \times \phi_j$ OPE, where $\phi_i$ is a fundamental of O(N). Comparing these bounds to previous determinations of critical exponents in the O(N) vector models, we find strong numerical evidence that the O(N) vector models saturate the bootstrap constraints at all values of N. We also compute general lower bounds on the central charge, giving numerical predictions for the values realized in the O(N) vector models. We compare our predictions to previous computations in the 1/N expansion, finding precise agreement at large values of N.

[ { "created": "Thu, 25 Jul 2013 20:00:01 GMT", "version": "v1" }, { "created": "Thu, 15 Oct 2015 18:35:14 GMT", "version": "v2" } ]

2015-10-16

[ [ "Kos", "Filip", "" ], [ "Poland", "David", "" ], [ "Simmons-Duffin", "David", "" ] ]

We study the conformal bootstrap for 3D CFTs with O(N) global symmetry. We obtain rigorous upper bounds on the scaling dimensions of the first O(N) singlet and symmetric tensor operators appearing in the $\phi_i \times \phi_j$ OPE, where $\phi_i$ is a fundamental of O(N). Comparing these bounds to previous determinations of critical exponents in the O(N) vector models, we find strong numerical evidence that the O(N) vector models saturate the bootstrap constraints at all values of N. We also compute general lower bounds on the central charge, giving numerical predictions for the values realized in the O(N) vector models. We compare our predictions to previous computations in the 1/N expansion, finding precise agreement at large values of N.

3.358565

3.969955

5.532468

4.068518

5.069751

4.149335

4.398041

4.403075

4.393348

5.576295

3.996868

3.835462

4.557828

3.966765

4.086641

4.009168

4.139649

3.908698

3.807183

4.75204

4.071553

1312.3506

Ilarion Melnikov

Jock McOrist, Ilarion V. Melnikov, and Brian Wecht

Global Symmetries and N=2 SUSY

14 pages

null

DMUS-MP-13/20, MIFPA 13-34, QMUL-PH-13-13

hep-th

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

We prove that N=2 theories that arise by taking n free hypermultiplets and gauging a subgroup of Sp(n), the non-R global symmetry of the free theory, have a remaining global symmetry which is a direct sum of unitary, symplectic, and special orthogonal factors. This implies that theories that have SU(N) but not U(N) global symmetries, such as Gaiotto's T_N theories, are not likely to arise as IR fixed points of RG flows from weakly coupled N=2 gauge theories.

[ { "created": "Thu, 12 Dec 2013 14:48:54 GMT", "version": "v1" } ]

2013-12-13

[ [ "McOrist", "Jock", "" ], [ "Melnikov", "Ilarion V.", "" ], [ "Wecht", "Brian", "" ] ]

We prove that N=2 theories that arise by taking n free hypermultiplets and gauging a subgroup of Sp(n), the non-R global symmetry of the free theory, have a remaining global symmetry which is a direct sum of unitary, symplectic, and special orthogonal factors. This implies that theories that have SU(N) but not U(N) global symmetries, such as Gaiotto's T_N theories, are not likely to arise as IR fixed points of RG flows from weakly coupled N=2 gauge theories.

8.155869

8.35631

9.462295

7.27882

7.911057

7.931196

7.965726

6.971031

7.271814

9.719435

7.56843

7.310787

7.962764

7.328726

7.428916

7.321993

7.389597

7.339968

7.476013

8.217386

7.456009

0705.1225

S. Q. Wu

Jun-Jin Peng, Shuang-Qing Wu

Hawking radiation from the Schwarzschild black hole with a global monopole via gravitational anomaly

4 pages, no figure, 3nd revsion with one reference added

Chin.Phys.B17:825-828,2008

10.1088/1674-1056/17/3/016

null

hep-th gr-qc

null

Hawking flux from the Schwarzschild black hole with a global monopole is obtained by using Robinson and Wilczek's method. Adopting a dimension reduction technique, the effective quantum field in the (3+1)--dimensional global monopole background can be described by an infinite collection of the (1+1)--dimensional massless fields if neglecting the ingoing modes near the horizon, where the gravitational anomaly can be cancelled by the (1+1)--dimensional black body radiation at the Hawking temperature.

[ { "created": "Wed, 9 May 2007 08:24:08 GMT", "version": "v1" }, { "created": "Thu, 7 Jun 2007 11:11:27 GMT", "version": "v2" }, { "created": "Wed, 11 Jul 2007 12:03:54 GMT", "version": "v3" } ]

2008-11-26

[ [ "Peng", "Jun-Jin", "" ], [ "Wu", "Shuang-Qing", "" ] ]

Hawking flux from the Schwarzschild black hole with a global monopole is obtained by using Robinson and Wilczek's method. Adopting a dimension reduction technique, the effective quantum field in the (3+1)--dimensional global monopole background can be described by an infinite collection of the (1+1)--dimensional massless fields if neglecting the ingoing modes near the horizon, where the gravitational anomaly can be cancelled by the (1+1)--dimensional black body radiation at the Hawking temperature.

8.953858

6.944011

8.037081

6.974938

7.045076

6.787861

7.304608

6.598592

7.06514

8.313539

6.902036

7.146605

7.863828

7.26051

7.319636

7.031068

7.339829

6.930563

7.286979

7.634001

7.159181

hep-th/9306083

Don N. Page

Information in Black Hole Radiation

12 pages, 1 PostScript figure, LaTeX, Alberta-Thy-24-93 (In response to Phys. Rev. Lett. referees' comments, the connection between expansions in inverse mass and in 1/N are spelled out, and a figure is added. An argument against perturbatively predicting even late-time information is also provided, as well as various minor changes.)

Phys.Rev.Lett. 71 (1993) 3743-3746

10.1103/PhysRevLett.71.3743

null

hep-th gr-qc

null

If black hole formation and evaporation can be described by an $S$ matrix, information would be expected to come out in black hole radiation. An estimate shows that it may come out initially so slowly, or else be so spread out, that it would never show up in an analysis perturbative in $M_{Planck}/M$, or in 1/N for two-dimensional dilatonic black holes with a large number $N$ of minimally coupled scalar fields.

[ { "created": "Fri, 18 Jun 1993 01:10:14 GMT", "version": "v1" }, { "created": "Thu, 26 Aug 1993 22:59:01 GMT", "version": "v2" } ]

2009-10-22

[ [ "Page", "Don N.", "" ] ]

If black hole formation and evaporation can be described by an $S$ matrix, information would be expected to come out in black hole radiation. An estimate shows that it may come out initially so slowly, or else be so spread out, that it would never show up in an analysis perturbative in $M_{Planck}/M$, or in 1/N for two-dimensional dilatonic black holes with a large number $N$ of minimally coupled scalar fields.

13.52383

10.556862

11.619205

10.444234

13.073327

10.634334

11.020295

10.585907

11.386926

11.966413

10.474822

10.705686

10.498143

9.895638

10.108264

10.391594

10.082904

10.342593

10.108739

10.194595

9.763696

2312.09291

Matilda Delgado

The Bubble of Nothing under T-duality

23 pages + refs + 2 figures

null

IFT-UAM/CSIC-23-146

hep-th

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

The bubble of nothing is a solution to Einstein's equations where a circle shrinks and pinches off smoothly. As such, it is one of the simplest examples of a dynamical cobordism to nothing. We take a first step in studying how this solution transforms under T-duality in bosonic string theory. Applying Buscher's rules reveals that the dual solution features a singular, strongly coupled core, with a circle blowing-up rather than pinching off. This naive approach to T-duality solely accounts for the zero-modes of the fields after dimensional reduction on the circle. For this reason, we argue that this is not the full picture that the T-dual solution should depend non-trivially on the dual circle. We point out evidence to this effect both in the gravity description and on the worldsheet. A more complete description of the T-dual object would require a full-fledged sigma model for the bubble of nothing. Nevertheless, inspired by similar examples in the literature, we detail one possible scenario where the stringy bubble of nothing is mediated by closed string tachyon condensation and we discuss its T-duality.

[ { "created": "Thu, 14 Dec 2023 19:00:18 GMT", "version": "v1" }, { "created": "Tue, 7 May 2024 15:02:49 GMT", "version": "v2" } ]

2024-05-08

[ [ "Delgado", "Matilda", "" ] ]

The bubble of nothing is a solution to Einstein's equations where a circle shrinks and pinches off smoothly. As such, it is one of the simplest examples of a dynamical cobordism to nothing. We take a first step in studying how this solution transforms under T-duality in bosonic string theory. Applying Buscher's rules reveals that the dual solution features a singular, strongly coupled core, with a circle blowing-up rather than pinching off. This naive approach to T-duality solely accounts for the zero-modes of the fields after dimensional reduction on the circle. For this reason, we argue that this is not the full picture that the T-dual solution should depend non-trivially on the dual circle. We point out evidence to this effect both in the gravity description and on the worldsheet. A more complete description of the T-dual object would require a full-fledged sigma model for the bubble of nothing. Nevertheless, inspired by similar examples in the literature, we detail one possible scenario where the stringy bubble of nothing is mediated by closed string tachyon condensation and we discuss its T-duality.

11.977762

10.721852

12.159288

9.631302

10.215084

10.341417

10.745537

10.158483

10.257021

12.385636

10.268942

10.193519

10.897118

10.030737

10.491275

10.144033

10.089957

10.247087

10.619952

11.206809

10.039443

1608.07237

Arvind Rajaraman

de Sitter Space is Unstable in Quantum Gravity

13 pages, references added

Phys. Rev. D 94, 125025 (2016)

10.1103/PhysRevD.94.125025

null

hep-th gr-qc

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

Graviton loop corrections to observables in de Sitter space often lead to infrared divergences. We show that these infrared divergences are resolved by the spontaneous breaking of de Sitter invariance.

[ { "created": "Thu, 25 Aug 2016 18:22:47 GMT", "version": "v1" }, { "created": "Sat, 17 Sep 2016 05:01:57 GMT", "version": "v2" } ]

2017-01-04

[ [ "Rajaraman", "Arvind", "" ] ]

Graviton loop corrections to observables in de Sitter space often lead to infrared divergences. We show that these infrared divergences are resolved by the spontaneous breaking of de Sitter invariance.

7.800702

4.52025

5.022171

4.421295

4.43555

4.013825

4.498322

4.166581

4.559114

5.14934

4.641616

4.920033

4.956062

4.886829

4.829369

4.993847

4.793868

4.783089

5.00956

5.344628

4.676157

2407.15575

Kiarash Naderi

Space-time symmetry from the world-sheet

41 pages

null

hep-th

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

The tensionless string on AdS$_3$ is a laboratory to study different aspects of the AdS/CFT correspondence. A particular question addressed in this paper is how the space-time symmetry algebra is encoded on the world-sheet. A natural prescription for calculating the space-time OPEs from the world-sheet is presented in the hybrid formalism. An argument showing that the OPEs are correctly reproduced from the world-sheet is provided, together with a few explicit calculations as consistency checks.

[ { "created": "Mon, 22 Jul 2024 12:05:55 GMT", "version": "v1" } ]

2024-07-23

[ [ "Naderi", "Kiarash", "" ] ]

The tensionless string on AdS$_3$ is a laboratory to study different aspects of the AdS/CFT correspondence. A particular question addressed in this paper is how the space-time symmetry algebra is encoded on the world-sheet. A natural prescription for calculating the space-time OPEs from the world-sheet is presented in the hybrid formalism. An argument showing that the OPEs are correctly reproduced from the world-sheet is provided, together with a few explicit calculations as consistency checks.

10.491398

7.677404

11.165742

8.143856

7.752949

7.848282

7.741246

8.195498

7.878248

11.599824

8.021423

8.463895

10.165365

9.23024

8.438386

8.361457

8.476569

8.445783

8.613014

10.561546

8.310199

hep-th/9701146

null

A. Buonanno, M. Gasperini, M. Maggiore and C. Ungarelli

Expanding and contracting universes in third quantized string cosmology

11 pages, LATEX, to apper in Class. Quantum Grav. An updated collection of papers on the pre-big bang scenario in string cosmology is a available at http://www.to.infn.it/teorici/gasperini

Class.Quant.Grav.14:L97-L103,1997

10.1088/0264-9381/14/5/005

CERN-TH/96-322

hep-th gr-qc

null

We discuss the possibility of quantum transitions from the string perturbative vacuum to cosmological configurations characterized by isotropic contraction and decreasing dilaton. When the dilaton potential preserves the sign of the Hubble factor throughout the evolution, such transitions can be represented as an anti-tunnelling of the Wheeler--De Witt wave function in minisuperspace or, in a third-quantization language, as the production of pairs of universes out of the vacuum.

[ { "created": "Mon, 27 Jan 1997 16:37:34 GMT", "version": "v1" } ]

2019-08-17

[ [ "Buonanno", "A.", "" ], [ "Gasperini", "M.", "" ], [ "Maggiore", "M.", "" ], [ "Ungarelli", "C.", "" ] ]

We discuss the possibility of quantum transitions from the string perturbative vacuum to cosmological configurations characterized by isotropic contraction and decreasing dilaton. When the dilaton potential preserves the sign of the Hubble factor throughout the evolution, such transitions can be represented as an anti-tunnelling of the Wheeler--De Witt wave function in minisuperspace or, in a third-quantization language, as the production of pairs of universes out of the vacuum.

14.079826

13.185475

13.33141

11.377096

12.558445

13.425355

12.553135

13.067628

12.22121

14.687569

12.746332

12.296792

12.717783

12.487576

12.223933

12.265059

11.972848

12.228764

12.932208

12.89874

12.721737

2004.02890

Carlo Alberto Cremonini

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

On Forms, Cohomology, and BV Laplacians in Odd Symplectic Geometry

23 pages

null

10.1007/s11005-021-01384-3

null

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

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

We study the cohomology of the complexes of differential, integral and pseudo forms on odd symplectic manifolds taking the wedge product with the symplectic form as differential. We show that the cohomology classes are in correspondence with inequivalent Lagrangian submanifolds and that they all define semidensities on them. Further, we introduce new operators that move from one Lagragian submanifold to another and we investigate their relation with the so-called picture changing operators for the de Rham differential. Finally, we prove the isomorphism between the cohomology of the de Rham differential and the cohomology of BV Laplacian in the extended framework of differential, integral and pseudo forms.

[ { "created": "Mon, 6 Apr 2020 18:00:01 GMT", "version": "v1" } ]

2021-04-21

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

We study the cohomology of the complexes of differential, integral and pseudo forms on odd symplectic manifolds taking the wedge product with the symplectic form as differential. We show that the cohomology classes are in correspondence with inequivalent Lagrangian submanifolds and that they all define semidensities on them. Further, we introduce new operators that move from one Lagragian submanifold to another and we investigate their relation with the so-called picture changing operators for the de Rham differential. Finally, we prove the isomorphism between the cohomology of the de Rham differential and the cohomology of BV Laplacian in the extended framework of differential, integral and pseudo forms.

7.967988

8.904462

8.69558

7.747583

7.87934

8.573483

8.391565

7.892589

7.873313

9.970175

7.710095

7.633648

8.155101

7.564279

7.739451

7.607236

7.738805

7.805193

7.405208

7.915559

7.555038

2107.05832

Juan Manuel Romero

Juan M. Romero and Leonardo Ort\'iz

Snyder and their representation with creation and annihilation operators

12 pages, non figures

null

hep-th

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

Inspired by the Schwinger's representation of angular momentum, we propose a representation of certain operators where we use the algebra of the annihilation and creation operators. In particular, we propose a representation of the Snyder space-time with the help of the annihilation and creation operators, which create and annihilate quantum of space. In addition, we show that by using a matrix representation of the $SO(3)$ or $SU(2)$ Lie algebra it is possible to obtain a representation of the spacial sector of Snyder space-time. Finally, we obtain a quantized expectation value of the area of a sphere.

[ { "created": "Tue, 13 Jul 2021 03:37:35 GMT", "version": "v1" } ]

2021-07-14

[ [ "Romero", "Juan M.", "" ], [ "Ortíz", "Leonardo", "" ] ]

Inspired by the Schwinger's representation of angular momentum, we propose a representation of certain operators where we use the algebra of the annihilation and creation operators. In particular, we propose a representation of the Snyder space-time with the help of the annihilation and creation operators, which create and annihilate quantum of space. In addition, we show that by using a matrix representation of the $SO(3)$ or $SU(2)$ Lie algebra it is possible to obtain a representation of the spacial sector of Snyder space-time. Finally, we obtain a quantized expectation value of the area of a sphere.

8.230317

8.095314

7.689491

7.597611

8.106159

8.489229

7.916432

7.748775

7.742505

7.906241

8.132397

7.877964

8.193494

8.024964

8.000063

7.838223

7.756591

7.658913

8.203498

7.986028

7.850234

hep-th/0010119

Kazuyuki Furuuchi

Dp-D(p+4) in Noncommutative Yang-Mills

16 pages. v2 eq.(3.28) and typos corrected, ref. added v3 extended to 25 pages including various examples and explanations v4 misleading comments on the instanton position are corrected

JHEP 0103:033,2001

10.1088/1126-6708/2001/03/033

KEK-TH 720

hep-th

null

An anti-self-dual instanton solution in Yang-Mills theory on noncommutative ${\R}^4$ with an anti-self-dual noncommutative parameter is constructed. The solution is constructed by the ADHM construction and it can be treated in the framework of the IIB matrix model. In the IIB matrix model, this solution is interpreted as a system of a Dp-brane and D(p+4)-branes, with the Dp-brane dissolved in the worldvolume of the D(p+4)-branes. The solution has a parameter that characterises the size of the instanton. The zero of this parameter corresponds to the singularity of the moduli space. At this point, the solution is continuously connected to another solution which can be interpreted as a system of a Dp-brane and D(p+4)-branes, with the Dp-brane separated from the D(p+4)-branes. It is shown that even when the parameter of the solution comes to the singularity of the moduli space, the gauge field itself is non-singular. A class of multi-instanton solutions is also constructed.

[ { "created": "Mon, 16 Oct 2000 14:56:25 GMT", "version": "v1" }, { "created": "Tue, 31 Oct 2000 04:48:31 GMT", "version": "v2" }, { "created": "Thu, 15 Feb 2001 13:27:24 GMT", "version": "v3" }, { "created": "Sat, 24 Feb 2001 14:44:13 GMT", "version": "v4" } ]

2018-09-14

[ [ "Furuuchi", "Kazuyuki", "" ] ]

An anti-self-dual instanton solution in Yang-Mills theory on noncommutative ${\R}^4$ with an anti-self-dual noncommutative parameter is constructed. The solution is constructed by the ADHM construction and it can be treated in the framework of the IIB matrix model. In the IIB matrix model, this solution is interpreted as a system of a Dp-brane and D(p+4)-branes, with the Dp-brane dissolved in the worldvolume of the D(p+4)-branes. The solution has a parameter that characterises the size of the instanton. The zero of this parameter corresponds to the singularity of the moduli space. At this point, the solution is continuously connected to another solution which can be interpreted as a system of a Dp-brane and D(p+4)-branes, with the Dp-brane separated from the D(p+4)-branes. It is shown that even when the parameter of the solution comes to the singularity of the moduli space, the gauge field itself is non-singular. A class of multi-instanton solutions is also constructed.

4.405754

4.135804

4.729663

4.154285

4.156306

4.277795

4.18206

4.157419

3.945199

4.815039

4.219926

4.125926

4.246445

4.157503

4.192468

4.167254

4.136167

4.088793

4.207373

4.317384

4.117123

hep-th/9908076

Lisa Randall

Joseph Lykken and Lisa Randall

The Shape of Gravity

8 pages, 1 figure

JHEP 0006:014,2000

10.1088/1126-6708/2000/06/014

PUPT-1883,MIT-CTP-2892,NSF-ITP-99-092

hep-th

null

In a nontrivial background geometry with extra dimensions, gravitational effects will depend on the shape of the Kaluza-Klein excitations of the graviton. We investigate a consistent scenario of this type with two positive tension three-branes separated in a five-dimensional Anti-de Sitter geometry. The graviton is localized on the ``Planck'' brane, while a gapless continuum of additional gravity eigenmodes probe the {\it infinitely} large fifth dimension. Despite the background five-dimensional geometry, an observer confined to either brane sees gravity as essentially four-dimensional up to a position-dependent strong coupling scale, no matter where the brane is located. We apply this scenario to generate the TeV scale as a hierarchically suppressed mass scale. Arbitrarily light gravitational modes appear in this scenario, but with suppressed couplings. Real emission of these modes is observable at future colliders; the effects are similar to those produced by {\it six} large toroidal dimensions.

[ { "created": "Tue, 10 Aug 1999 02:04:20 GMT", "version": "v1" } ]

2009-10-31

[ [ "Lykken", "Joseph", "" ], [ "Randall", "Lisa", "" ] ]

In a nontrivial background geometry with extra dimensions, gravitational effects will depend on the shape of the Kaluza-Klein excitations of the graviton. We investigate a consistent scenario of this type with two positive tension three-branes separated in a five-dimensional Anti-de Sitter geometry. The graviton is localized on the ``Planck'' brane, while a gapless continuum of additional gravity eigenmodes probe the {\it infinitely} large fifth dimension. Despite the background five-dimensional geometry, an observer confined to either brane sees gravity as essentially four-dimensional up to a position-dependent strong coupling scale, no matter where the brane is located. We apply this scenario to generate the TeV scale as a hierarchically suppressed mass scale. Arbitrarily light gravitational modes appear in this scenario, but with suppressed couplings. Real emission of these modes is observable at future colliders; the effects are similar to those produced by {\it six} large toroidal dimensions.

13.586881

14.63902

13.588397

12.780337

13.771626

13.840031

15.466097

12.958861

13.57467

14.729423

13.253156

12.980018

13.221605

12.286555

12.91605

13.072146

12.823967

13.084406

12.613373

13.140043

12.728696

hep-th/0111099

Dmitri Gal'tsov

V.V. Dyadichev, D.V. Gal'tsov, A.G. Zorin, and M.Yu. Zotov

Non-Abelian Born--Infeld cosmology

Latex2e, 7 figures

Phys.Rev. D65 (2002) 084007

10.1103/PhysRevD.65.084007

DTP-MSU/01-14

hep-th

null

We investigate homogeneous and isotropic cosmological solutions supported by the SU(2) gauge field governed by the Born-Infeld lagrangian. In the framework of the Friedmann-Robertson-Walker cosmology, with or without cosmological constant $\lambda$, we derive dynamical systems that give rather complete description of the space of solutions. For $\lambda=0$ the effective equation of state $\ve(p)$ is shown to interpolate between $p=-\ve/3$ in the regime of the strong field and $p=\ve/3$ for the weak field. Correspondingly, the Universe starts with zero acceleration and gradually enters the decelerating regime, asymptotically approaching the Tolman solution.

[ { "created": "Mon, 12 Nov 2001 06:49:16 GMT", "version": "v1" } ]

2009-11-07

[ [ "Dyadichev", "V. V.", "" ], [ "Gal'tsov", "D. V.", "" ], [ "Zorin", "A. G.", "" ], [ "Zotov", "M. Yu.", "" ] ]

We investigate homogeneous and isotropic cosmological solutions supported by the SU(2) gauge field governed by the Born-Infeld lagrangian. In the framework of the Friedmann-Robertson-Walker cosmology, with or without cosmological constant $\lambda$, we derive dynamical systems that give rather complete description of the space of solutions. For $\lambda=0$ the effective equation of state $\ve(p)$ is shown to interpolate between $p=-\ve/3$ in the regime of the strong field and $p=\ve/3$ for the weak field. Correspondingly, the Universe starts with zero acceleration and gradually enters the decelerating regime, asymptotically approaching the Tolman solution.

6.836387

6.771613

6.419907

6.443184

6.691057

6.15836

7.118095

6.41566

6.584046

7.049044

6.326474

6.384117

6.498841

6.224923

6.536401

6.447536

6.304607

6.384764

6.489992

6.554197

6.287636

1806.02384

Zheng Sun

Zheng Sun, Xingyue Wei

Runaway directions in O'Raifeartaigh models

8 pages

Commun.Theor.Phys. 70 (2018) 6, 677

10.1088/0253-6102/70/6/677

CTP-SCU/2018021

hep-th hep-ph

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

R-symmetries, which are needed for supersymmetry (SUSY) breaking in O'Raifeartaigh models, often lead to SUSY runaway directions trough a complexified R-transformation. Non-R symmetries also lead to runaway directions in a similar way. This work investigates the occurrence of runaway directions of both SUSY and SUSY breaking types. We clarify previous issues on fractional charges and genericness, and make a refined statement on conditions for runaway directions related to either R-symmetries or non-R symmetries. We present a generic and anomaly-free model to show the existence of runaway directions related to non-R symmetries. We also comment on the possibility to combine the non-R symmetry case to the R-symmetry case by an R-charge redefinition.

[ { "created": "Wed, 6 Jun 2018 18:55:51 GMT", "version": "v1" } ]

2019-04-23

[ [ "Sun", "Zheng", "" ], [ "Wei", "Xingyue", "" ] ]

R-symmetries, which are needed for supersymmetry (SUSY) breaking in O'Raifeartaigh models, often lead to SUSY runaway directions trough a complexified R-transformation. Non-R symmetries also lead to runaway directions in a similar way. This work investigates the occurrence of runaway directions of both SUSY and SUSY breaking types. We clarify previous issues on fractional charges and genericness, and make a refined statement on conditions for runaway directions related to either R-symmetries or non-R symmetries. We present a generic and anomaly-free model to show the existence of runaway directions related to non-R symmetries. We also comment on the possibility to combine the non-R symmetry case to the R-symmetry case by an R-charge redefinition.

10.639739

10.992104

10.811771

9.871413

10.905541

10.512861

10.107548

9.974251

10.474315

11.029602

10.481592

9.529642

9.907484

9.490174

9.358425

9.899805

9.455622

9.993879

9.491166

9.897947

9.718626

hep-th/0204005

Jose M. M. Senovilla

J. M. M. Senovilla

Trapped surfaces, horizons and exact solutions in higher dimensions

7 pages, no figures, final version to appear in Class. Quantum Grav

Class.Quant.Grav. 19 (2002) L113

10.1088/0264-9381/19/12/101

null

hep-th gr-qc

null

A very simple criterion to ascertain if (D-2)-surfaces are trapped in arbitrary D-dimensional Lorentzian manifolds is given. The result is purely geometric, independent of the particular gravitational theory, of any field equations or of any other conditions. Many physical applications arise, a few shown here: a definition of general horizon, which reduces to the standard one in black holes/rings and other known cases; the classification of solutions with a (D-2)-dimensional abelian group of motions and the invariance of the trapping under simple dimensional reductions of the Kaluza-Klein/string/M-theory type. Finally, a stronger result involving closed trapped surfaces is presented. It provides in particular a simple sufficient condition for their absence.

[ { "created": "Sat, 30 Mar 2002 19:05:49 GMT", "version": "v1" }, { "created": "Sat, 18 May 2002 19:19:58 GMT", "version": "v2" } ]

2009-11-07

[ [ "Senovilla", "J. M. M.", "" ] ]

A very simple criterion to ascertain if (D-2)-surfaces are trapped in arbitrary D-dimensional Lorentzian manifolds is given. The result is purely geometric, independent of the particular gravitational theory, of any field equations or of any other conditions. Many physical applications arise, a few shown here: a definition of general horizon, which reduces to the standard one in black holes/rings and other known cases; the classification of solutions with a (D-2)-dimensional abelian group of motions and the invariance of the trapping under simple dimensional reductions of the Kaluza-Klein/string/M-theory type. Finally, a stronger result involving closed trapped surfaces is presented. It provides in particular a simple sufficient condition for their absence.

15.851961

15.05984

13.850597

13.124392

14.776376

15.127238

16.909908

13.11235

14.983312

16.147493

14.243458

14.402779

14.014001

13.631621

13.461458

13.047102

14.025462

13.439869

13.775398

13.976703

13.890989

hep-th/0403269

Mark Laidlaw

Mark Laidlaw and Madoka Nishimura

Comments on Higher Derivative Terms for the Tachyon Action

21 pages

null

hep-th

null

We consider the open string tachyon action in a world-sheet sigma model approach. We present explicit calculations up to order 8 in derivatives for the bosonic string, and mimic these to order 6 for the superstring, including terms with multiple derivatives acting on the tachyon field. We reproduce lower derivative terms obtained elsewhere, and speculate on the role of the world-sheet contact terms regularizing the action for the superstring tachyon.

[ { "created": "Fri, 26 Mar 2004 20:19:59 GMT", "version": "v1" } ]

2007-05-23

[ [ "Laidlaw", "Mark", "" ], [ "Nishimura", "Madoka", "" ] ]

We consider the open string tachyon action in a world-sheet sigma model approach. We present explicit calculations up to order 8 in derivatives for the bosonic string, and mimic these to order 6 for the superstring, including terms with multiple derivatives acting on the tachyon field. We reproduce lower derivative terms obtained elsewhere, and speculate on the role of the world-sheet contact terms regularizing the action for the superstring tachyon.

10.563907

9.866094

11.873839

9.938814

9.809096

9.80532

9.998782

9.694473

9.634982

12.390404

10.214968

9.809576

10.260663

9.763768

9.793071

9.954031

10.123437

9.344199

9.719018

10.029551

9.782362

hep-th/9512087

Marco Picco

Vladimir Dotsenko, Marco Picco and Pierre Pujol

Randomly coupled minimal models

12 pages, latex, 1 eps figures; new results added

null

10.1016/0370-2693(96)00759-9

PAR--LPTHE 95/63

hep-th cond-mat

null

Using 1-loop renormalisation group equations, we analyze the effect of randomness on multi-critical unitary minimal conformal models. We study the case of two randomly coupled $M_p$ models and found that they flow in two decoupled $M_{p-1}$ models, in the infra-red limit. This result is then extend to the case with $M$ randomly coupled $M_p$ models, which will flow toward $M$ decoupled $M_{p-1}$.

[ { "created": "Tue, 12 Dec 1995 20:01:52 GMT", "version": "v1" }, { "created": "Sun, 21 Apr 1996 16:16:07 GMT", "version": "v2" } ]

2009-10-28

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

Using 1-loop renormalisation group equations, we analyze the effect of randomness on multi-critical unitary minimal conformal models. We study the case of two randomly coupled $M_p$ models and found that they flow in two decoupled $M_{p-1}$ models, in the infra-red limit. This result is then extend to the case with $M$ randomly coupled $M_p$ models, which will flow toward $M$ decoupled $M_{p-1}$.

8.93335

7.243671

8.397267

6.747174

7.190495

7.559209

7.336494

7.748224

6.920748

10.30303

7.021703

7.16893

8.64012

7.605924

7.4773

7.571227

7.623465

7.526476

7.642444

9.072734

7.285934

hep-th/9911035

Sebastian Silva

B. Julia and S. Silva

On first order formulations of supergravities

LaTex, 30 Pages. Expanded introduction and added references

JHEP 0001 (2000) 026

10.1088/1126-6708/2000/01/026

null

hep-th

null

Supergravities are usually presented in a so-called 1.5 order formulation. Here we present a general scheme to derive pure 1^{st} order formulations of supergravities from the 1.5 order ones. The example of N_4=1 supergravity will be rederived and new results for N_4=2 and N_11=1 will be presented. It seems that beyond four dimensions the auxiliary fields introduced to obtain first order formulations of SUGRA theories do not admit supergeometrical transformation laws at least before a full superfield treatment. On the other hand first order formalisms simplify eventually symmetry analysis and the study of dimensional reductions.

[ { "created": "Fri, 5 Nov 1999 16:49:29 GMT", "version": "v1" }, { "created": "Sat, 18 Dec 1999 14:16:04 GMT", "version": "v2" } ]

2009-10-31

[ [ "Julia", "B.", "" ], [ "Silva", "S.", "" ] ]

Supergravities are usually presented in a so-called 1.5 order formulation. Here we present a general scheme to derive pure 1^{st} order formulations of supergravities from the 1.5 order ones. The example of N_4=1 supergravity will be rederived and new results for N_4=2 and N_11=1 will be presented. It seems that beyond four dimensions the auxiliary fields introduced to obtain first order formulations of SUGRA theories do not admit supergeometrical transformation laws at least before a full superfield treatment. On the other hand first order formalisms simplify eventually symmetry analysis and the study of dimensional reductions.

13.850608

14.828303

15.465407

13.266076

14.147748

14.13192

14.288259

14.505272

14.353322

15.937406

13.572913

14.169646

14.200462

13.697711

13.668438

13.530204

13.810319

13.649173

13.788039

13.652102

13.818823

hep-th/9505108

Hoi-Kwong Lo

Kai-Ming Lee and Hoi-Kwong Lo

Wavefunctions for Non-Abelian Vortices

Reference added

null

IASSNS-HEP-95/34 ; OUTP-95-20P

hep-th

null

We construct exact wavefunctions of two vortices on a plane, a single vortex on the cylinder and a vortex on the torus. In each case, the physics is shown to be equivalent to a particle moving in a covering space, something simple to solve in those examples. We describe how our solutions fit into the general theory of quantum mechanics of $N$ particles on a two-dimensional space and attribute our success to the fact that the fundamental groups are Abelian in those simple cases that we are considering.

[ { "created": "Wed, 17 May 1995 16:04:14 GMT", "version": "v1" }, { "created": "Sat, 18 Jan 1997 18:56:06 GMT", "version": "v2" } ]

2008-02-03

[ [ "Lee", "Kai-Ming", "" ], [ "Lo", "Hoi-Kwong", "" ] ]

We construct exact wavefunctions of two vortices on a plane, a single vortex on the cylinder and a vortex on the torus. In each case, the physics is shown to be equivalent to a particle moving in a covering space, something simple to solve in those examples. We describe how our solutions fit into the general theory of quantum mechanics of $N$ particles on a two-dimensional space and attribute our success to the fact that the fundamental groups are Abelian in those simple cases that we are considering.

13.500551

13.654413

14.631162

12.522919

13.927703

14.754071

13.565628

14.138721

13.425288

14.425119

13.509731

12.395882

13.664614

13.063004

13.192821

13.1018

12.915505

12.389062

12.513783

13.804173

12.66207

hep-th/0307274

Muneto Nitta

Masato Arai, Muneto Nitta, Norisuke Sakai

Vacua of Massive Hyper-Kahler Sigma Models with Non-Abelian Quotient

37 pages, one figure, final version to appear in Prog. Theor. Phys

Prog.Theor.Phys. 113 (2005) 657-685

10.1143/PTP.113.657

TIT/HEP-504

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

null

The Higgs branch of N=2 supersymmetric gauge theories with non-Abelian gauge groups are described by hyper-Kahler (HK) nonlinear sigma models with potential terms. With the non-Abelian HK quotient by U(M) and SU(M) gauge groups, we give the massive HK sigma models that are not toric in the N=1 superfield formalism and the harmonic superspace formalism. The U(M) quotient gives N!/[M! (N-M)!] discrete vacua that may allow various types of domain walls, whereas the SU(M) quotient gives no discrete vacua.

[ { "created": "Mon, 28 Jul 2003 19:49:15 GMT", "version": "v1" }, { "created": "Wed, 24 Sep 2003 23:55:06 GMT", "version": "v2" }, { "created": "Thu, 13 Jan 2005 15:14:48 GMT", "version": "v3" }, { "created": "Tue, 1 Mar 2005 08:38:50 GMT", "version": "v4" } ]

2009-11-10

[ [ "Arai", "Masato", "" ], [ "Nitta", "Muneto", "" ], [ "Sakai", "Norisuke", "" ] ]

The Higgs branch of N=2 supersymmetric gauge theories with non-Abelian gauge groups are described by hyper-Kahler (HK) nonlinear sigma models with potential terms. With the non-Abelian HK quotient by U(M) and SU(M) gauge groups, we give the massive HK sigma models that are not toric in the N=1 superfield formalism and the harmonic superspace formalism. The U(M) quotient gives N!/[M! (N-M)!] discrete vacua that may allow various types of domain walls, whereas the SU(M) quotient gives no discrete vacua.

9.833301

8.838608

10.590749

8.417111

9.756084

9.448812

8.988974

8.904443

8.545453

12.003709

8.754139

8.597944

9.321325

8.789881

8.911115

8.870887

8.719709

8.757673

9.054727

8.553034

8.933068

0903.2293

Dennis D. Dietrich

On invariants for particle propagation in non-Abelian fields

4 pages, no figures, to be published in PRD

Phys.Rev.D80:067701,2009

10.1103/PhysRevD.80.067701

CP3-Origins: 2009-5

hep-th hep-ph nucl-th

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

Characterising the propagation of particles in an external non-Abelian field only in terms of invariants constructed from its field tensor is not always sufficient, especially, in many analytically tractable and phenomenologically interesting cases.

[ { "created": "Thu, 12 Mar 2009 23:43:16 GMT", "version": "v1" }, { "created": "Sat, 29 Aug 2009 17:41:43 GMT", "version": "v2" } ]

2009-09-24

[ [ "Dietrich", "Dennis D.", "" ] ]

Characterising the propagation of particles in an external non-Abelian field only in terms of invariants constructed from its field tensor is not always sufficient, especially, in many analytically tractable and phenomenologically interesting cases.

25.131981

17.095617

14.848699

15.265156

15.50167

19.046011

16.406139

15.222106

12.793818

15.053206

15.458038

15.788737

14.998717

14.466412

15.002157

15.034563

14.614846

16.263868

13.769197

14.21388

15.944251

2109.10382

Soumangsu Chakraborty Dr

Soumangsu Chakraborty and Akikazu Hashimoto

Weighed average over Narain moduli space as $T \bar T$ deformation of CFT target space

15 pages

null

10.1103/PhysRevD.105.086018

null

hep-th

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

We consider the weighted average of a two dimensional CFT, whose target space is $T^2$, over its Narain moduli space. We take as the weighing function the integral kernel which gives rise to $T \bar T$ deformation when applied to the world sheet moduli data of the partition function viewed as vacuum amplitude when the world sheet is a torus. We compute the smeared partition function where this kernel is applied to the target space moduli. Smearing the partition function over the parameter space of a field theory generally leads to the breakdown in the ability to write the partition function as a sum over Boltzmann factor with unit coefficients. The weight function inspired by the $T \bar T$ deformation appears to be an exception to this general expectation. We show that this smearing leads to a marginal deformation corresponding to the overall rescaling of the target space $T^2$.

[ { "created": "Tue, 21 Sep 2021 18:08:43 GMT", "version": "v1" }, { "created": "Tue, 19 Jul 2022 13:24:09 GMT", "version": "v2" } ]

2022-07-20

[ [ "Chakraborty", "Soumangsu", "" ], [ "Hashimoto", "Akikazu", "" ] ]

We consider the weighted average of a two dimensional CFT, whose target space is $T^2$, over its Narain moduli space. We take as the weighing function the integral kernel which gives rise to $T \bar T$ deformation when applied to the world sheet moduli data of the partition function viewed as vacuum amplitude when the world sheet is a torus. We compute the smeared partition function where this kernel is applied to the target space moduli. Smearing the partition function over the parameter space of a field theory generally leads to the breakdown in the ability to write the partition function as a sum over Boltzmann factor with unit coefficients. The weight function inspired by the $T \bar T$ deformation appears to be an exception to this general expectation. We show that this smearing leads to a marginal deformation corresponding to the overall rescaling of the target space $T^2$.

11.341026

10.980698

11.339241

10.410528

10.593365

9.444586

11.067294

9.650709

10.104536

13.430074

10.277527

9.682006

10.915192

10.166567

10.22937

10.094307

10.156189

9.709782

10.239607

11.170679

10.648509

1312.3542

Riccardo Borsato

Gleb Arutyunov, Riccardo Borsato and Sergey Frolov

S-matrix for strings on $\eta$-deformed AdS5 x S5

23 pages, 1 figure. Misprint in (3.18) corrected

JHEP (2014) 002

10.1007/JHEP04(2014)002

ITP-UU-13-31, SPIN-13-23, HU-Mathematik-2013-24, TCD-MATH-13-16

hep-th

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

We determine the bosonic part of the superstring sigma model Lagrangian on $\eta$-deformed AdS5 x S5, and use it to compute the perturbative world-sheet scattering matrix of bosonic particles of the model. We then compare it with the large string tension limit of the q-deformed S-matrix and find exact agreement.

[ { "created": "Thu, 12 Dec 2013 16:41:53 GMT", "version": "v1" }, { "created": "Mon, 7 Apr 2014 08:54:00 GMT", "version": "v2" }, { "created": "Thu, 27 Aug 2015 15:23:13 GMT", "version": "v3" } ]

2015-08-28

[ [ "Arutyunov", "Gleb", "" ], [ "Borsato", "Riccardo", "" ], [ "Frolov", "Sergey", "" ] ]

We determine the bosonic part of the superstring sigma model Lagrangian on $\eta$-deformed AdS5 x S5, and use it to compute the perturbative world-sheet scattering matrix of bosonic particles of the model. We then compare it with the large string tension limit of the q-deformed S-matrix and find exact agreement.

8.946592

7.207925

11.402666

7.143857

7.444983

7.832628

7.599856

7.682568

7.148372

11.427661

7.478691

7.658948

9.522667

7.430581

7.59219

7.76082

7.699109

7.68533

7.581056

8.769722

7.513153

0711.0155

Arkady Tseytlin

M. Grigoriev and A.A. Tseytlin

Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model

56 pages. v2: section 6.4 expanded with comments on mass spectrum and the corresponding S-matrix; v3,v4: minor corrections and clarifications added

Nucl.Phys.B800:450-501,2008

10.1016/j.nuclphysb.2008.01.006

Imperial-TP-AT-2007-4, NI07093

hep-th

null

Motivated by a desire to find a useful 2d Lorentz-invariant reformulation of the AdS_5 x S^5 superstring world-sheet theory in terms of physical degrees of freedom we construct the Pohlmeyer-reduced version of the corresponding sigma model. The Pohlmeyer reduction procedure involves several steps. Starting with a coset space string sigma model in the conformal gauge and writing the classical equations in terms of currents one can fix the residual conformal diffeomorphism symmetry and kappa-symmetry and introduce a new set of variables (related locally to currents but non-locally to the original string coordinate fields) so that the Virasoro constraints are automatically satisfied. The resulting gauge-fixed equations can be obtained from a Lagrangian of a non-abelian Toda type: a gauged WZW model with an integrable potential coupled also to a set of 2d fermionic fields. A gauge-fixed form of the Pohlmeyer-reduced theory can be found by integrating out the 2d gauge field of the gauged WZW model. Its small-fluctuation spectrum contains 8 bosonic and 8 fermionic degrees of freedom with equal masses. We conjecture that the reduced model has world-sheet supersymmetry and is ultraviolet-finite. We show that in the special case of the AdS_2 x S^2 superstring model the reduced theory is indeed supersymmetric: it is equivalent to the N=2 supersymmetric extension of the sine-Gordon model.

[ { "created": "Thu, 1 Nov 2007 19:57:01 GMT", "version": "v1" }, { "created": "Tue, 6 Nov 2007 19:52:08 GMT", "version": "v2" }, { "created": "Mon, 12 Nov 2007 20:52:24 GMT", "version": "v3" }, { "created": "Mon, 7 Jan 2008 17:07:38 GMT", "version": "v4" } ]

2008-11-26

[ [ "Grigoriev", "M.", "" ], [ "Tseytlin", "A. A.", "" ] ]

Motivated by a desire to find a useful 2d Lorentz-invariant reformulation of the AdS_5 x S^5 superstring world-sheet theory in terms of physical degrees of freedom we construct the Pohlmeyer-reduced version of the corresponding sigma model. The Pohlmeyer reduction procedure involves several steps. Starting with a coset space string sigma model in the conformal gauge and writing the classical equations in terms of currents one can fix the residual conformal diffeomorphism symmetry and kappa-symmetry and introduce a new set of variables (related locally to currents but non-locally to the original string coordinate fields) so that the Virasoro constraints are automatically satisfied. The resulting gauge-fixed equations can be obtained from a Lagrangian of a non-abelian Toda type: a gauged WZW model with an integrable potential coupled also to a set of 2d fermionic fields. A gauge-fixed form of the Pohlmeyer-reduced theory can be found by integrating out the 2d gauge field of the gauged WZW model. Its small-fluctuation spectrum contains 8 bosonic and 8 fermionic degrees of freedom with equal masses. We conjecture that the reduced model has world-sheet supersymmetry and is ultraviolet-finite. We show that in the special case of the AdS_2 x S^2 superstring model the reduced theory is indeed supersymmetric: it is equivalent to the N=2 supersymmetric extension of the sine-Gordon model.

6.116408

5.63896

7.021881

6.058212

6.602156

6.433528

6.065456

6.006113

5.824224

6.872818

6.008473

6.103641

6.283198

6.059289

6.115121

6.143711

6.06882

5.966946

5.979036

6.259891

6.002409

0810.4778

Yuri Makeenko

Yuri Makeenko and Poul Olesen

Implementation of the Duality between Wilson loops and Scattering Amplitudes in QCD

REVTex, 6 pages, 1 figure; v3: refs added; v4pp. to appear in PRL

Phys.Rev.Lett.102:071602,2009

10.1103/PhysRevLett.102.071602

ITEP-TH-47/08

hep-th hep-ph

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

We generalize modern ideas about the duality between Wilson loops and scattering amplitudes in ${\cal N}$=4 SYM to large-N (or quenched) QCD. We show that the area-law behavior of asymptotically large Wilson loops is dual to the Regge-Veneziano behavior of scattering amplitudes at high energies and fixed momentum transfer, when quark mass is small and/or the number of particles is large. We elaborate on this duality for string theory in a flat space, identifying the asymptotes of the disk amplitude and the Wilson loop of large-N QCD.

[ { "created": "Mon, 27 Oct 2008 15:10:45 GMT", "version": "v1" }, { "created": "Mon, 27 Oct 2008 20:43:52 GMT", "version": "v2" }, { "created": "Tue, 11 Nov 2008 09:34:36 GMT", "version": "v3" }, { "created": "Tue, 27 Jan 2009 11:09:01 GMT", "version": "v4" } ]

2009-02-27

[ [ "Makeenko", "Yuri", "" ], [ "Olesen", "Poul", "" ] ]

We generalize modern ideas about the duality between Wilson loops and scattering amplitudes in ${\cal N}$=4 SYM to large-N (or quenched) QCD. We show that the area-law behavior of asymptotically large Wilson loops is dual to the Regge-Veneziano behavior of scattering amplitudes at high energies and fixed momentum transfer, when quark mass is small and/or the number of particles is large. We elaborate on this duality for string theory in a flat space, identifying the asymptotes of the disk amplitude and the Wilson loop of large-N QCD.

9.650061

8.756965

9.177989

8.56115

8.420044

8.766233

8.036217

8.701756

8.527927

10.266952

7.864618

8.484416

8.658438

8.306959

8.312077

8.107867

8.56479

8.784666

8.523683

8.903416

8.273993

2403.15893

Ugo Moschella

Plane waves, harmonic analysis in de Sitter and anti de Sitter Quantum Field Theory and the spectral condition

THE FRIEDMANN COSMOLOGY: A CENTURY LATER. Invited paper

null

hep-th

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

We review the role of the spectral condition as a characteristic feature unifying Minkowski, de Sitter and anti de Sitter Quantum Field Theory. In this context, we highlight the role of an important class of plane waves which are either de Sitter or anti de Sitter covariant and are compatible with the relevant analyticity domains linked to the spectral condition(s). We show again how to expand the two-point functions and propagators in terms of them and some of the advantages of doing so rather than using special coordinate systems and separated variables.

[ { "created": "Sat, 23 Mar 2024 17:19:31 GMT", "version": "v1" } ]

2024-03-26

[ [ "Moschella", "Ugo", "" ] ]

We review the role of the spectral condition as a characteristic feature unifying Minkowski, de Sitter and anti de Sitter Quantum Field Theory. In this context, we highlight the role of an important class of plane waves which are either de Sitter or anti de Sitter covariant and are compatible with the relevant analyticity domains linked to the spectral condition(s). We show again how to expand the two-point functions and propagators in terms of them and some of the advantages of doing so rather than using special coordinate systems and separated variables.

14.635753

13.342943

13.254041

11.999166

13.73015

12.903665

14.86006

12.751086

13.269765

14.627904

13.200149

14.070162

13.247406

13.088578

13.628222

13.376369

13.675473

13.129912

13.809206

13.76682

13.201272

1202.2494

Yushu Song

Yushu Song and Shu-Qing Guo

Fermi Surface under Magnetism Instability

17pages,2 figures, discussions added; terminology corrected

null

10.1007/JHEP07(2012)165

null

hep-th cond-mat.str-el

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

In this paper, we study the fermionic excitations near the quantum criticality using gauge/gravity duality. This is motivated by exploring the Fermi surface evolution near the quantum criticality. We construct the gravity dual of "paramagnetic-nematic" phase transition in a continuum limit and study the Fermi surface evolution across this quantum phase transition. We find that there exists non-Fermi liquid with the Fermi surface in the "paramagnetic" phase and the Fermi surface disappears in the "nematic" phase.

[ { "created": "Sun, 12 Feb 2012 07:34:29 GMT", "version": "v1" }, { "created": "Fri, 17 Feb 2012 08:23:32 GMT", "version": "v2" }, { "created": "Tue, 3 Apr 2012 13:38:49 GMT", "version": "v3" }, { "created": "Thu, 26 Jul 2012 11:34:24 GMT", "version": "v4" } ]

2017-08-23

[ [ "Song", "Yushu", "" ], [ "Guo", "Shu-Qing", "" ] ]

In this paper, we study the fermionic excitations near the quantum criticality using gauge/gravity duality. This is motivated by exploring the Fermi surface evolution near the quantum criticality. We construct the gravity dual of "paramagnetic-nematic" phase transition in a continuum limit and study the Fermi surface evolution across this quantum phase transition. We find that there exists non-Fermi liquid with the Fermi surface in the "paramagnetic" phase and the Fermi surface disappears in the "nematic" phase.

6.698788

5.893699

6.052499

5.675811

6.014463

5.737792

5.962244

5.867778

5.578408

5.919085

5.586072

5.786252

5.717206

5.634803

5.525765

5.721718

5.536849

5.656023

5.501796

5.695753

6.025402

1907.08862

Junho Hong

Junho Hong, Finn Larsen, and James T. Liu

The Scales of Black Holes with nAdS$_2$ Geometry

42 pages; v2: minor revisions; v3: discussion section added

null

10.1007/JHEP10(2019)260

LCTP-19-14

hep-th

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

We study nearly extreme black holes with nearly AdS$_2$ horizon geometry in various settings inspired by string theory. Our focus is on the scales of the nAdS$_2$ region and their relation to microscopic theory. These scales are determined by a generalization of the attractor mechanism for extremal black holes and realized geometrically as the normal derivatives along the extremal attractor flow. In some cases the scales are equivalently determined by the charge dependence of the extremal attractor by itself. Our examples include near extreme black holes in $D\geq 4$ dimensions, AdS boundary conditions, rotation, and 5D black holes on the non-BPS branch.

[ { "created": "Sat, 20 Jul 2019 20:01:33 GMT", "version": "v1" }, { "created": "Sat, 10 Aug 2019 12:35:02 GMT", "version": "v2" }, { "created": "Mon, 21 Oct 2019 18:44:11 GMT", "version": "v3" } ]

2020-01-08

[ [ "Hong", "Junho", "" ], [ "Larsen", "Finn", "" ], [ "Liu", "James T.", "" ] ]

We study nearly extreme black holes with nearly AdS$_2$ horizon geometry in various settings inspired by string theory. Our focus is on the scales of the nAdS$_2$ region and their relation to microscopic theory. These scales are determined by a generalization of the attractor mechanism for extremal black holes and realized geometrically as the normal derivatives along the extremal attractor flow. In some cases the scales are equivalently determined by the charge dependence of the extremal attractor by itself. Our examples include near extreme black holes in $D\geq 4$ dimensions, AdS boundary conditions, rotation, and 5D black holes on the non-BPS branch.

12.904476

12.332747

13.017604

11.527514

12.410629

12.859783

12.428137

11.775522

12.323838

13.940358

11.862034

11.840305

12.017979

11.550687

11.674492

12.087873

12.493917

11.431488

11.759455

11.866676

11.563999

1501.04651

Roberto Tateo Prof.

Andrea Cavagli\`a, Martina Cornagliotto, Massimo Mattelliano, Roberto Tateo

A Riemann-Hilbert formulation for the finite temperature Hubbard model

43 pages, 13 figures. v2: References added, typos corrected, minor changes to the text. v3: JHEP published version; typos corrected, references added and text improved in Section 8

null

hep-th cond-mat.str-el math-ph math.MP nlin.SI

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

Inspired by recent results in the context of AdS/CFT integrability, we reconsider the Thermodynamic Bethe Ansatz equations describing the 1D fermionic Hubbard model at finite temperature. We prove that the infinite set of TBA equations are equivalent to a simple nonlinear Riemann-Hilbert problem for a finite number of unknown functions. The latter can be transformed into a set of three coupled nonlinear integral equations defined over a finite support, which can be easily solved numerically. We discuss the emergence of an exact Bethe Ansatz and the link between the TBA approach and the results by J\"uttner, Kl\"umper and Suzuki based on the Quantum Transfer Matrix method. We also comment on the analytic continuation mechanism leading to excited states and on the mirror equations describing the finite-size Hubbard model with twisted boundary conditions.

[ { "created": "Mon, 19 Jan 2015 21:32:04 GMT", "version": "v1" }, { "created": "Thu, 5 Feb 2015 20:16:13 GMT", "version": "v2" }, { "created": "Wed, 3 Jun 2015 16:32:26 GMT", "version": "v3" } ]

2015-06-04

[ [ "Cavaglià", "Andrea", "" ], [ "Cornagliotto", "Martina", "" ], [ "Mattelliano", "Massimo", "" ], [ "Tateo", "Roberto", "" ] ]

Inspired by recent results in the context of AdS/CFT integrability, we reconsider the Thermodynamic Bethe Ansatz equations describing the 1D fermionic Hubbard model at finite temperature. We prove that the infinite set of TBA equations are equivalent to a simple nonlinear Riemann-Hilbert problem for a finite number of unknown functions. The latter can be transformed into a set of three coupled nonlinear integral equations defined over a finite support, which can be easily solved numerically. We discuss the emergence of an exact Bethe Ansatz and the link between the TBA approach and the results by J\"uttner, Kl\"umper and Suzuki based on the Quantum Transfer Matrix method. We also comment on the analytic continuation mechanism leading to excited states and on the mirror equations describing the finite-size Hubbard model with twisted boundary conditions.

6.10535

6.683339

7.033579

6.25112

6.328775

5.979982

6.209314

6.227961

6.446854

7.285995

5.958013

6.109716

6.502671

6.043491

5.953222

6.084

6.350315

6.055866

6.178101

6.031711

5.976062

1201.0768

Wei Xue

Wei Xue, Xian Gao and Robert Brandenberger

IR Divergences in Inflation and Entropy Perturbations

28 pages, minor changes in Sec 3.3, reference added

null

10.1088/1475-7516/2012/06/035

null

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

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

We study leading order perturbative corrections to the two point correlation function of the scalar field describing the curvature perturbation in a slow-roll inflationary background, paying particular attention to the contribution of entropy mode loops. We find that the infrared divergences are worse than in pure de Sitter space: they are power law rather than logarithmic. The validity of perturbation theory and thus of the effective field theory of cosmological perturbations leads to stringent constraints on the coupling constants describing the interactions, in our model the quartic self-interaction coupling constant of the entropy field. If the self coupling constant is larger than some critical value which depends in particular on the duration of the inflationary phase, then perturbation theory breaks down. Our analysis may have implications for the stability of de Sitter space: the quantum effects which lead to an instability of de Sitter space will be larger in magnitude in the presence of entropy fluctuations.

[ { "created": "Tue, 3 Jan 2012 21:08:44 GMT", "version": "v1" }, { "created": "Sun, 29 Jan 2012 03:45:14 GMT", "version": "v2" } ]

2015-06-03

[ [ "Xue", "Wei", "" ], [ "Gao", "Xian", "" ], [ "Brandenberger", "Robert", "" ] ]

We study leading order perturbative corrections to the two point correlation function of the scalar field describing the curvature perturbation in a slow-roll inflationary background, paying particular attention to the contribution of entropy mode loops. We find that the infrared divergences are worse than in pure de Sitter space: they are power law rather than logarithmic. The validity of perturbation theory and thus of the effective field theory of cosmological perturbations leads to stringent constraints on the coupling constants describing the interactions, in our model the quartic self-interaction coupling constant of the entropy field. If the self coupling constant is larger than some critical value which depends in particular on the duration of the inflationary phase, then perturbation theory breaks down. Our analysis may have implications for the stability of de Sitter space: the quantum effects which lead to an instability of de Sitter space will be larger in magnitude in the presence of entropy fluctuations.

7.99746

7.857943

7.799739

7.754519

7.455323

8.071925

8.099451

7.80878

7.768084

8.433427

8.009544

7.622741

7.684033

7.681773

7.719015

7.977685

7.740216

7.812207

7.618948

7.753617

7.536973

1810.10540

Max Zimet

Shamit Kachru, Arnav Tripathy, Max Zimet

K3 metrics from little string theory

36 pages. v2: added references. v3: updated joke

null

hep-th math.DG

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

Certain six-dimensional (1,0) supersymmetric little string theories, when compactified on $T^3$, have moduli spaces of vacua given by smooth K3 surfaces. Using ideas of Gaiotto-Moore-Neitzke, we show that this provides a systematic procedure for determining the Ricci-flat metric on a smooth K3 surface in terms of BPS degeneracies of (compactified) little string theories.

[ { "created": "Wed, 24 Oct 2018 18:00:01 GMT", "version": "v1" }, { "created": "Mon, 9 Dec 2019 20:38:10 GMT", "version": "v2" }, { "created": "Sun, 11 Oct 2020 03:33:34 GMT", "version": "v3" } ]

2020-10-13

[ [ "Kachru", "Shamit", "" ], [ "Tripathy", "Arnav", "" ], [ "Zimet", "Max", "" ] ]

Certain six-dimensional (1,0) supersymmetric little string theories, when compactified on $T^3$, have moduli spaces of vacua given by smooth K3 surfaces. Using ideas of Gaiotto-Moore-Neitzke, we show that this provides a systematic procedure for determining the Ricci-flat metric on a smooth K3 surface in terms of BPS degeneracies of (compactified) little string theories.

7.357784

6.027686

8.631248

5.654752

6.371143

6.368369

5.672091

5.808713

6.216386

8.562715

5.887444

6.272213

7.491349

6.321787

6.383449

6.122973

6.287524

6.459089

6.500342

7.658681

6.442789

hep-th/9306038

null

Katsuyuki Sugiyama

BRST analysis of N=2 superconformal minimal unitary models in Coulomb gas formalism

34 pages, 2 eps figures

Int.J.Mod.Phys.A9:5821-5850,1994

10.1142/S0217751X94002417

UT-646

hep-th

null

We perform a BRST analysis of the N=2 superconformal minimal unitary models. A bosonic as well as fermionic BRST operators are used to construct irreducible representations of the N=2 superconformal algebra on the Fock space as BRST cohomology classes of the BRST operators. Also a character formula is rederived by using the BRST analysis.

[ { "created": "Mon, 7 Jun 1993 08:50:20 GMT", "version": "v1" } ]

2010-11-01

[ [ "Sugiyama", "Katsuyuki", "" ] ]

We perform a BRST analysis of the N=2 superconformal minimal unitary models. A bosonic as well as fermionic BRST operators are used to construct irreducible representations of the N=2 superconformal algebra on the Fock space as BRST cohomology classes of the BRST operators. Also a character formula is rederived by using the BRST analysis.

7.398396

7.149947

8.943788

6.176942

5.967709

7.100384

7.109988

6.845394

6.742435

8.375721

6.113946

6.514499

7.718435

6.60233

6.468527

6.758677

6.365779

6.455173

6.543854

8.03759

6.406305

hep-th/9503188

R. Kantowski

H. T. Cho and R. Kantowski

Zeta-Functions for Non-Minimal Operators

26 pages, additional references

Phys.Rev. D52 (1995) 4588-4599

10.1103/PhysRevD.52.4588

OKHEP-95-02

hep-th

null

We evaluate zeta-functions $\zeta(s)$ at $s=0$ for invariant non-minimal 2nd-order vector and tensor operators defined on maximally symmetric even dimensional spaces. We decompose the operators into their irreducible parts and obtain their corresponding eigenvalues. Using these eigenvalues, we are able to explicitly calculate $\zeta(0)$ for the cases of Euclidean spaces and $N$-spheres. In the $N$-sphere case, we make use of the Euler-Maclaurin formula to develop asymptotic expansions for the required sums. The resulting $\zeta(0)$ values for dimensions 2 to 10 are given in the Appendix.

[ { "created": "Mon, 27 Mar 1995 19:39:54 GMT", "version": "v1" }, { "created": "Tue, 18 Jul 1995 17:22:31 GMT", "version": "v2" } ]

2009-10-28

[ [ "Cho", "H. T.", "" ], [ "Kantowski", "R.", "" ] ]

We evaluate zeta-functions $\zeta(s)$ at $s=0$ for invariant non-minimal 2nd-order vector and tensor operators defined on maximally symmetric even dimensional spaces. We decompose the operators into their irreducible parts and obtain their corresponding eigenvalues. Using these eigenvalues, we are able to explicitly calculate $\zeta(0)$ for the cases of Euclidean spaces and $N$-spheres. In the $N$-sphere case, we make use of the Euler-Maclaurin formula to develop asymptotic expansions for the required sums. The resulting $\zeta(0)$ values for dimensions 2 to 10 are given in the Appendix.

7.419161

7.585161

7.088288

6.481092

7.60489

6.766955

8.26385

6.916697

6.6716

7.727018

6.819773

7.137243

7.133973

6.704771

6.964588

6.778409

6.805621

6.864927

6.70203

7.111247

6.605302

hep-th/0004055

Mark Walton

S. E. Irvine, M. A. Walton

Schubert Calculus and Threshold Polynomials of Affine Fusion

20 pages, 0 figures, harvmac, typos corrected, references added

Nucl.Phys. B584 (2000) 795-809

10.1016/S0550-3213(00)00404-1

null

hep-th math.QA

null

We show how the threshold level of affine fusion, the fusion of Wess-Zumino-Witten (WZW) conformal field theories, fits into the Schubert calculus introduced by Gepner. The Pieri rule can be modified in a simple way to include the threshold level, so that calculations may be done for all (non-negative integer) levels at once. With the usual Giambelli formula, the modified Pieri formula deforms the tensor product coefficients (and the fusion coefficients) into what we call threshold polynomials. We compare them with the q-deformed tensor product coefficients and fusion coefficients that are related to q-deformed weight multiplicities. We also discuss the meaning of the threshold level in the context of paths on graphs.

[ { "created": "Fri, 7 Apr 2000 19:11:15 GMT", "version": "v1" }, { "created": "Tue, 18 Apr 2000 17:50:56 GMT", "version": "v2" } ]

2009-10-31

[ [ "Irvine", "S. E.", "" ], [ "Walton", "M. A.", "" ] ]

We show how the threshold level of affine fusion, the fusion of Wess-Zumino-Witten (WZW) conformal field theories, fits into the Schubert calculus introduced by Gepner. The Pieri rule can be modified in a simple way to include the threshold level, so that calculations may be done for all (non-negative integer) levels at once. With the usual Giambelli formula, the modified Pieri formula deforms the tensor product coefficients (and the fusion coefficients) into what we call threshold polynomials. We compare them with the q-deformed tensor product coefficients and fusion coefficients that are related to q-deformed weight multiplicities. We also discuss the meaning of the threshold level in the context of paths on graphs.

11.023228

10.397003

11.943155

10.944192

11.030425

11.253276

11.93833

11.5198

11.165444

14.261315

10.539627

10.889666

10.953083

10.829239

10.708208

10.651274

10.579543

10.620454

10.862201

11.368317

10.487964

0704.0262

Matteo Bertolini

Riccardo Argurio, Matteo Bertolini, Gabriele Ferretti, Alberto Lerda and Christoffer Petersson

Stringy Instantons at Orbifold Singularities

Latex, 29 pages, 6 figures. v3: typos corrected, one comment and refs added, published version

JHEP 0706:067,2007

10.1088/1126-6708/2007/06/067

null

hep-th

null

We study the effects produced by D-brane instantons on the holomorphic quantities of a D-brane gauge theory at an orbifold singularity. These effects are not limited to reproducing the well known contributions of the gauge theory instantons but also generate extra terms in the superpotential or the prepotential. On these brane instantons there are some neutral fermionic zero-modes in addition to the ones expected from broken supertranslations. They are crucial in correctly reproducing effects which are dual to gauge theory instantons, but they may make some other interesting contributions vanish. We analyze how orientifold projections can remove these zero-modes and thus allow for new superpotential terms. These terms contribute to the dynamics of the effective gauge theory, for instance in the stabilization of runaway directions.

[ { "created": "Tue, 3 Apr 2007 16:07:41 GMT", "version": "v1" }, { "created": "Wed, 4 Apr 2007 12:25:27 GMT", "version": "v2" }, { "created": "Mon, 18 Jun 2007 09:53:05 GMT", "version": "v3" } ]

2009-11-13

[ [ "Argurio", "Riccardo", "" ], [ "Bertolini", "Matteo", "" ], [ "Ferretti", "Gabriele", "" ], [ "Lerda", "Alberto", "" ], [ "Petersson", "Christoffer", "" ] ]

We study the effects produced by D-brane instantons on the holomorphic quantities of a D-brane gauge theory at an orbifold singularity. These effects are not limited to reproducing the well known contributions of the gauge theory instantons but also generate extra terms in the superpotential or the prepotential. On these brane instantons there are some neutral fermionic zero-modes in addition to the ones expected from broken supertranslations. They are crucial in correctly reproducing effects which are dual to gauge theory instantons, but they may make some other interesting contributions vanish. We analyze how orientifold projections can remove these zero-modes and thus allow for new superpotential terms. These terms contribute to the dynamics of the effective gauge theory, for instance in the stabilization of runaway directions.

11.032054

12.58731

12.896889

10.844337

12.044767

11.635695

11.649319

11.638

11.367929

13.111869

11.755345

10.877541

11.65837

10.933758

11.066084

11.132555

11.305315

10.913383

10.611459

11.436609

10.850631

1411.1795

Rafael Augusto Couceiro Correa

R. A. C. Correa and A. de Souza Dutra

On the study of oscillons in scalar field theories: A new approach

null

hep-th

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

In this work we study configurations in one-dimensional scalar field theory, which are time-dependent, localized in space and extremely long-lived called oscillons. It is investigated how the action of changing the minimum value of the field configuration representing the oscillon affects its behavior. We find that one of the consequences of this procedure, is the appearance of a pair of oscillon-like structures presenting different amplitudes and frequencies of oscillation. We also compare our analytical results to numerical ones, showing excellent agreement.

[ { "created": "Thu, 6 Nov 2014 23:23:09 GMT", "version": "v1" }, { "created": "Tue, 2 Feb 2016 14:43:50 GMT", "version": "v2" } ]

2016-02-03

[ [ "Correa", "R. A. C.", "" ], [ "Dutra", "A. de Souza", "" ] ]

In this work we study configurations in one-dimensional scalar field theory, which are time-dependent, localized in space and extremely long-lived called oscillons. It is investigated how the action of changing the minimum value of the field configuration representing the oscillon affects its behavior. We find that one of the consequences of this procedure, is the appearance of a pair of oscillon-like structures presenting different amplitudes and frequencies of oscillation. We also compare our analytical results to numerical ones, showing excellent agreement.

14.060436

11.138654

12.506866

11.069961

10.725578

11.058485

10.737354

10.809609

10.678249

11.503061

10.889575

11.160669

11.925313

11.183081

11.367244

11.326877

11.211732

11.331833

11.440453

11.829062

11.544658

1409.6851

Hoang Nam Cao

Cao H. Nam

Gauge theory of quantum gravity

11 pages, discussions and references added, a mistake of Eq. (10) corrected, results unchanged

null

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

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

The gravity is classically formulated as the geometric curvature of the space-time in general relativity which is completely different from the other well-known physical forces. Since seeking a quantum framework for the gravity is a great challenge in physics. Here we present an alternative construction of quantum gravity in which the quantum gravitational degrees of freedom are described by the non-Abelian gauge fields characterizing topological non-triviality of the space-time. The quantum dynamics of the space-time thus corresponds to the superposition of the distinct topological states. Its unitary time evolution is described by the path integral approach. This result will also be suggested to solve some major problems in physics of the black holes.

[ { "created": "Wed, 24 Sep 2014 07:41:17 GMT", "version": "v1" }, { "created": "Fri, 26 Sep 2014 09:42:07 GMT", "version": "v2" } ]

2014-09-29

[ [ "Nam", "Cao H.", "" ] ]

The gravity is classically formulated as the geometric curvature of the space-time in general relativity which is completely different from the other well-known physical forces. Since seeking a quantum framework for the gravity is a great challenge in physics. Here we present an alternative construction of quantum gravity in which the quantum gravitational degrees of freedom are described by the non-Abelian gauge fields characterizing topological non-triviality of the space-time. The quantum dynamics of the space-time thus corresponds to the superposition of the distinct topological states. Its unitary time evolution is described by the path integral approach. This result will also be suggested to solve some major problems in physics of the black holes.

11.754143

13.079372

11.749892

11.783223

12.447643

12.067921

12.963665

11.676237

11.957806

11.136906

12.211752

11.901013

11.405396

11.529098

11.522234

11.669894

11.714313

11.268559

11.889159

11.680133

11.563216

hep-th/0502145

Sergiu Vacaru I.

Sergiu I. Vacaru

Clifford Algebroids and Nonholonomic Spinor Deformations of Taub-NUT Spacetimes

30 pages

null

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

null

In this paper we examine a new class of five dimensional (5D) exact solutions in extra dimension gravity possessing Lie algebroid symmetry. The constructions provide a motivation for the theory of Clifford nonholonomic algebroids elaborated in Ref. hep-th/0501217. Such Einstein-Dirac spacetimes are parametrized by generic off--diagonal metrics and nonholonomic frames (vielbeins) with associated nonlinear connection structure. They describe self-consistent propagations of (3D) Dirac wave packets in 5D nonholonomically deformed Taub NUT spacetimes and have two physically distinct properties: Fist, the metrics are with polarizations of constants which may serve as indirect signals for the presence of higher dimensions and/or nontrivial torsions and nonholonomic gravitational configurations. Second, such Einstein-Dirac solutions are characterized by new type of symmetries defined as generalizations of the Lie algebra structure constants to nonholonomic Lie algebroid and/or Clifford algebroid structure functions.

[ { "created": "Wed, 16 Feb 2005 14:11:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Vacaru", "Sergiu I.", "" ] ]

In this paper we examine a new class of five dimensional (5D) exact solutions in extra dimension gravity possessing Lie algebroid symmetry. The constructions provide a motivation for the theory of Clifford nonholonomic algebroids elaborated in Ref. hep-th/0501217. Such Einstein-Dirac spacetimes are parametrized by generic off--diagonal metrics and nonholonomic frames (vielbeins) with associated nonlinear connection structure. They describe self-consistent propagations of (3D) Dirac wave packets in 5D nonholonomically deformed Taub NUT spacetimes and have two physically distinct properties: Fist, the metrics are with polarizations of constants which may serve as indirect signals for the presence of higher dimensions and/or nontrivial torsions and nonholonomic gravitational configurations. Second, such Einstein-Dirac solutions are characterized by new type of symmetries defined as generalizations of the Lie algebra structure constants to nonholonomic Lie algebroid and/or Clifford algebroid structure functions.

13.89089

14.873043

12.381068

13.017411

17.027243

13.748786

14.230213

13.715802

13.553389

15.355167

14.567465

13.693832

12.73652

12.767257

13.492545

13.398087

14.42831

13.150538

13.823111

13.458493

13.895792

hep-th/9909219

Ken Intriligator

Kenneth Intriligator

Compactified Little String Theories and Compact Moduli Spaces of Vacua

12 pages, harvmac; v2:added reference

Phys.Rev.D61:106005,2000

10.1103/PhysRevD.61.106005

UCSD/PTH 99-12, IASSNS-HEP-99/86

hep-th

null

It is emphasized that compactified little string theories have compact moduli spaces of vacua, which globally probe compact string geometry. Compactifying various little string theories on T^3 leads to 3d theories with exact, quantum Coulomb branch given by: an arbitrary T^4 of volume M_s^2, an arbitrary K3 of volume M_s^2, and moduli spaces of G=SU(N), SO(2N), or E_{6,7,8} instantons on an arbitrary T^4 or K3 of fixed volume. Compactifying instead on a T^2 leads to 4d theories with a compact Coulomb branch base which, when combined with the exact photon gauge coupling fiber, is a compact, elliptically-fibered space related to the above spaces.

[ { "created": "Wed, 29 Sep 1999 21:03:20 GMT", "version": "v1" }, { "created": "Mon, 11 Oct 1999 20:18:45 GMT", "version": "v2" } ]

2010-11-19

[ [ "Intriligator", "Kenneth", "" ] ]

It is emphasized that compactified little string theories have compact moduli spaces of vacua, which globally probe compact string geometry. Compactifying various little string theories on T^3 leads to 3d theories with exact, quantum Coulomb branch given by: an arbitrary T^4 of volume M_s^2, an arbitrary K3 of volume M_s^2, and moduli spaces of G=SU(N), SO(2N), or E_{6,7,8} instantons on an arbitrary T^4 or K3 of fixed volume. Compactifying instead on a T^2 leads to 4d theories with a compact Coulomb branch base which, when combined with the exact photon gauge coupling fiber, is a compact, elliptically-fibered space related to the above spaces.

12.899718

11.756573

13.381192

11.912496

14.00682

11.300205

11.874553

11.8964

10.952529

13.416741

11.075129

10.797632

12.321922

11.38707

11.609232

11.533913

11.24353

11.077548

11.438005

12.294804

11.431021

hep-th/9503183

null

E.Celeghini, M.Rasetti and G.Vitiello (Phys. Dept. Univ.ty of Florence, Italy)

IDENTICAL PARTICLES AND PERMUTATION GROUP

8 pages, tex, J. of Phys. A:Math. and General, in print

J.Phys.A28:L239-L244,1995

10.1088/0305-4470/28/8/003

null

hep-th

null

Second quantization is revisited and creation and annihilation operators are shown to be related, on the same footing both to the algebra ${\it h}(1)$, ${\underline {and}}$ to the superalgebra ${\it osp}(1|2)$ that are shown to be both compatible with Bose ${\underline {and}}$ Fermi statistics. The two algebras are completely equivalent in the one-mode sector but, because of grading of ${\it osp}(1|2)$, differ in the many-particle case. The possibility of a unorthodox quantum field theory is suggested.

[ { "created": "Mon, 27 Mar 1995 13:39:29 GMT", "version": "v1" } ]

2010-11-01

[ [ "Celeghini", "E.", "", "Phys. Dept. Univ.ty of\n Florence, Italy" ], [ "Rasetti", "M.", "", "Phys. Dept. Univ.ty of\n Florence, Italy" ], [ "Vitiello", "G.", "", "Phys. Dept. Univ.ty of\n Florence, Italy" ] ]

Second quantization is revisited and creation and annihilation operators are shown to be related, on the same footing both to the algebra ${\it h}(1)$, ${\underline {and}}$ to the superalgebra ${\it osp}(1|2)$ that are shown to be both compatible with Bose ${\underline {and}}$ Fermi statistics. The two algebras are completely equivalent in the one-mode sector but, because of grading of ${\it osp}(1|2)$, differ in the many-particle case. The possibility of a unorthodox quantum field theory is suggested.

11.129968

8.746981

10.943694

9.235067

8.074554

8.210902

7.484001

8.606314

8.353498

11.142205

9.339576

9.165664

10.829185

9.279127

9.197011

9.508792

8.971918

9.424178

9.36036

10.365205

9.484128

1812.01135

Tomonori Ugajin

Perturbative expansions of R\'enyi relative divergences and holography

23+11 pages, 2 figures

null

hep-th

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

In this paper, we develop a novel way to perturbatively calculate R\'enyi relative divergences $D_{\gamma}(\rho|| \sigma) ={\rm tr} \rho^{\gamma} \sigma^{1-\gamma}$ and related quantities without using replica trick as well as analytic continuation. We explicitly determine the form of the perturbative term at any order by an integral along the modular flow of the unperturbed state. By applying the prescription to a class of reduced density matrices in conformal field theory, we find that the second order term of certain linear combination of the divergences has a holographic expression in terms of bulk symplectic form, which is a one parameter generalization of the statement "Fisher information = Bulk canonical energy".

[ { "created": "Mon, 3 Dec 2018 23:49:21 GMT", "version": "v1" } ]

2018-12-05

[ [ "Ugajin", "Tomonori", "" ] ]

In this paper, we develop a novel way to perturbatively calculate R\'enyi relative divergences $D_{\gamma}(\rho|| \sigma) ={\rm tr} \rho^{\gamma} \sigma^{1-\gamma}$ and related quantities without using replica trick as well as analytic continuation. We explicitly determine the form of the perturbative term at any order by an integral along the modular flow of the unperturbed state. By applying the prescription to a class of reduced density matrices in conformal field theory, we find that the second order term of certain linear combination of the divergences has a holographic expression in terms of bulk symplectic form, which is a one parameter generalization of the statement "Fisher information = Bulk canonical energy".

10.415343

9.492615

11.007207

8.966405

10.66239

10.414931

9.81429

10.106112

9.347185

12.607892

9.032247

9.389501

9.88769

9.670061

9.253636

9.127495

9.291023

9.741364

9.393157

10.233266

9.766937

1904.02871

Parinya Karndumri

Parinya Karndumri and Patharadanai Nuchino

Supersymmetric domain walls in 7D maximal gauged supergravity

38 pages, no figures, typos corrected and references added

Eur. Phys. J. C 79 (2019) 648

10.1140/epjc/s10052-019-7168-7

null

hep-th

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

We give a large class of supersymmetric domain walls in maximal seven-dimensional gauged supergravity with various types of gauge groups. Gaugings are described by components of the embedding tensor transforming in representations $\mathbf{15}$ and $\overline{\mathbf{40}}$ of the global symmetry $SL(5)$. The embedding tensor in $\mathbf{15}$ representation leads to $CSO(p,q,5-p-q)$ gauge groups while gaugings in $\overline{\mathbf{40}}$ representation describes $CSO(p,q,4-p-q)$ gauge groups. These gaugings admit half-supersymmetric domain walls as vacuum solutions. On the other hand, gaugings involving both $\mathbf{15}$ and $\overline{\mathbf{40}}$ components lead to $\frac{1}{4}$-supersymmetric domain walls. In this case, the gauge groups under consideration are $SO(2,1)\ltimes \mathbf{R}^4$ and $CSO(2,0,2)\sim SO(2)\ltimes \mathbf{R}^4$. All of the domain wall solutions are analytically obtained. For $SO(5)$ gauge group, the gauged supergravity admits an $N=4$ supersymmetric $AdS_7$ vacuum dual to $N=(2,0)$ SCFT in six dimensions. The corresponding domain walls can be interpreted as holographic RG flows from the $N=(2,0)$ SCFT to non-conformal $N=(2,0)$ field theories in the IR. The solutions can be uplifted to eleven dimensions by using a truncation ansatz on $S^4$. Furthermore, the gauged supergravity with $CSO(4,0,1)\sim SO(4)\ltimes \mathbf{R}^4$ gauge group can be embedded in type IIA theory via a truncation on $S^3$. The uplifted domain walls, describing NS5-branes of type IIA theory, are also given.

[ { "created": "Fri, 5 Apr 2019 05:14:22 GMT", "version": "v1" }, { "created": "Mon, 15 Apr 2019 13:35:43 GMT", "version": "v2" }, { "created": "Fri, 2 Aug 2019 17:42:26 GMT", "version": "v3" } ]

2019-08-27

[ [ "Karndumri", "Parinya", "" ], [ "Nuchino", "Patharadanai", "" ] ]

We give a large class of supersymmetric domain walls in maximal seven-dimensional gauged supergravity with various types of gauge groups. Gaugings are described by components of the embedding tensor transforming in representations $\mathbf{15}$ and $\overline{\mathbf{40}}$ of the global symmetry $SL(5)$. The embedding tensor in $\mathbf{15}$ representation leads to $CSO(p,q,5-p-q)$ gauge groups while gaugings in $\overline{\mathbf{40}}$ representation describes $CSO(p,q,4-p-q)$ gauge groups. These gaugings admit half-supersymmetric domain walls as vacuum solutions. On the other hand, gaugings involving both $\mathbf{15}$ and $\overline{\mathbf{40}}$ components lead to $\frac{1}{4}$-supersymmetric domain walls. In this case, the gauge groups under consideration are $SO(2,1)\ltimes \mathbf{R}^4$ and $CSO(2,0,2)\sim SO(2)\ltimes \mathbf{R}^4$. All of the domain wall solutions are analytically obtained. For $SO(5)$ gauge group, the gauged supergravity admits an $N=4$ supersymmetric $AdS_7$ vacuum dual to $N=(2,0)$ SCFT in six dimensions. The corresponding domain walls can be interpreted as holographic RG flows from the $N=(2,0)$ SCFT to non-conformal $N=(2,0)$ field theories in the IR. The solutions can be uplifted to eleven dimensions by using a truncation ansatz on $S^4$. Furthermore, the gauged supergravity with $CSO(4,0,1)\sim SO(4)\ltimes \mathbf{R}^4$ gauge group can be embedded in type IIA theory via a truncation on $S^3$. The uplifted domain walls, describing NS5-branes of type IIA theory, are also given.

3.705285

3.353079

4.656379

3.402982

3.774548

3.564595

3.629719

3.324057

3.548563

4.465511

3.438603

3.588305

3.978355

3.565203

3.726314

3.629467

3.557227

3.632815

3.617661

4.077444

3.579684

hep-th/9301111

Leon Takhtajan

On Foundation of the Generalized Nambu Mechanics

27 pages

Commun.Math.Phys. 160 (1994) 295-316

10.1007/BF02103278

null

hep-th math.SG

null

We outline the basic principles of canonical formalism for the Nambu mechanics---a generalization of Hamiltonian mechanics proposed by Yoichiro Nambu in 1973. It is based on the notion of Nambu bracket which generalizes the Poisson bracket to the multiple operation of higher order $n \geq 3$ on classical observables and is described by Hambu-Hamilton equations of motion given by $n-1$ Hamiltonians. We introduce the fundamental identity for the Nambu bracket which replaces Jacobi identity as a consistency condition for the dynamics. We show that Nambu structure of given order defines a family of subordinated structures of lower order, including the Poisson structure, satisfying certain matching conditions. We introduce analogs of action from and principle of the least action for the Nambu mechanics and show how dynamics of loops ($n-2$-dimensional objects) naturally appears in this formalism. We discuss several approaches to the quantization problem and present explicit representation of Nambu-Heisenberg commutation relation for $n=3$ case. We emphasize the role higher order algebraic operations and mathematical structures related with them play in passing from Hamilton's to Nambu's dynamical picture.

[ { "created": "Tue, 26 Jan 1993 20:45:26 GMT", "version": "v1" } ]

2009-10-22

[ [ "Takhtajan", "Leon", "" ] ]

We outline the basic principles of canonical formalism for the Nambu mechanics---a generalization of Hamiltonian mechanics proposed by Yoichiro Nambu in 1973. It is based on the notion of Nambu bracket which generalizes the Poisson bracket to the multiple operation of higher order $n \geq 3$ on classical observables and is described by Hambu-Hamilton equations of motion given by $n-1$ Hamiltonians. We introduce the fundamental identity for the Nambu bracket which replaces Jacobi identity as a consistency condition for the dynamics. We show that Nambu structure of given order defines a family of subordinated structures of lower order, including the Poisson structure, satisfying certain matching conditions. We introduce analogs of action from and principle of the least action for the Nambu mechanics and show how dynamics of loops ($n-2$-dimensional objects) naturally appears in this formalism. We discuss several approaches to the quantization problem and present explicit representation of Nambu-Heisenberg commutation relation for $n=3$ case. We emphasize the role higher order algebraic operations and mathematical structures related with them play in passing from Hamilton's to Nambu's dynamical picture.

9.150675

9.25946

11.012641

9.59335

10.305919

10.470268

9.714588

9.955572

9.13691

11.856849

9.59124

8.904316

10.482854

9.143953

9.144374

9.21473

9.012796

8.905987

8.982463

9.556934

8.91726

hep-th/9606011

null

T.D. Palev, N.I. Stoilova

Many-Body Wigner Quantum Systems

20 pages, PlainTex

J.Math.Phys. 38 (1997) 2506-2523

10.1063/1.531991

IC/96/82

hep-th

null

We present examples of many-body Wigner quantum systems. The position and the momentum operators ${\bf R}_A$ and ${\bf P}_A,\; A=1,\ldots,n+1$, of the particles are noncanonical and are chosen so that the Heisenberg and the Hamiltonian equations are identical. The spectrum of the energy with respect to the centre of mass is equidistant and has finite number of energy levels. The composite system is spread in a small volume around the centre of mass and within it the geometry is noncommutative. The underlying statistics is an exclusion statistics.

[ { "created": "Tue, 4 Jun 1996 10:58:11 GMT", "version": "v1" } ]

2009-10-30

[ [ "Palev", "T. D.", "" ], [ "Stoilova", "N. I.", "" ] ]

We present examples of many-body Wigner quantum systems. The position and the momentum operators ${\bf R}_A$ and ${\bf P}_A,\; A=1,\ldots,n+1$, of the particles are noncanonical and are chosen so that the Heisenberg and the Hamiltonian equations are identical. The spectrum of the energy with respect to the centre of mass is equidistant and has finite number of energy levels. The composite system is spread in a small volume around the centre of mass and within it the geometry is noncommutative. The underlying statistics is an exclusion statistics.

11.99819

10.871193

11.816862

10.334492

10.618122

10.327421

9.746299

10.638924

11.198027

12.992157

10.586068

10.471514

10.966535

10.665771

10.219242

10.803815

11.042251

10.739283

10.794646

11.161082

10.332261

1307.1460

Carlos Eduardo Pellicer de Oliveira

E. Abdalla, Jeferson de Oliveira, A. B. Pavan, C. E. Pellicer

Holographic Phase Transitions in (2+1)-dimensional black hole spacetimes in NMG

19 pages, 36 figures

Braz J Phys 54, 50 (2024)

10.1007/s13538-024-01429-7

null

hep-th

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

In this work we aim at the question of holographic phase transitions in two dimensional systems with Lifshitz scaling. We consider the gravity side candidate for a dual description as the black hole solution of New Massive Gravity (NMG) with Lifshitz scaling. We discuss the effects due to the Lifshitz scaling in the AGGH (Ayon-Beato-Garbarz-Giribet-Hassa\"i{\i}ne) solution in comparison with the BTZ (Ba\~nados-Teitelboim-Zanelli) black hole. Likewise, we compute the order parameter and it indicates a second order phase transition in a (1+1) dimension Lifshitz boundary.

[ { "created": "Thu, 4 Jul 2013 19:47:22 GMT", "version": "v1" }, { "created": "Wed, 10 Jul 2013 17:52:00 GMT", "version": "v2" }, { "created": "Wed, 14 Jul 2021 12:13:02 GMT", "version": "v3" }, { "created": "Thu, 15 Jul 2021 17:20:25 GMT", "version": "v4" }, { "created": "Fri, 16 Jul 2021 12:36:57 GMT", "version": "v5" } ]

2024-02-06

[ [ "Abdalla", "E.", "" ], [ "de Oliveira", "Jeferson", "" ], [ "Pavan", "A. B.", "" ], [ "Pellicer", "C. E.", "" ] ]

In this work we aim at the question of holographic phase transitions in two dimensional systems with Lifshitz scaling. We consider the gravity side candidate for a dual description as the black hole solution of New Massive Gravity (NMG) with Lifshitz scaling. We discuss the effects due to the Lifshitz scaling in the AGGH (Ayon-Beato-Garbarz-Giribet-Hassa\"i{\i}ne) solution in comparison with the BTZ (Ba\~nados-Teitelboim-Zanelli) black hole. Likewise, we compute the order parameter and it indicates a second order phase transition in a (1+1) dimension Lifshitz boundary.

10.33649

12.114449

10.930332

11.028842

11.343922

12.889895

12.035108

10.970481

11.522692

14.065288

11.245678

10.32478

10.300417

9.10716

9.673359

10.420283

10.159521

9.703743

9.516755

10.521829

10.308479

2112.07587

Fran\c{c}ois Rondeau

Ignatios Antoniadis, Fran\c{c}ois Rondeau

Minimal embedding of the Standard Model into intersecting D-brane configurations with a bulk leptonic $U(1)$

20 pages. Published version

Eur. Phys. J. C 82, 701 (2022)

10.1140/epjc/s10052-022-10660-y

null

hep-th hep-ph

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

It has been recently shown that the discrepancy between the theoretical and experimental values of the anomalous magnetic moment of the muon can be fully accommodated by considering the contribution of few Kaluza-Klein (KK) states of the gauged lepton number with masses lighter than the LEP energy, consistently with present experimental limits. In this article, we construct the minimal embedding of the Standard Model (SM) into D-brane configurations with a gauged lepton number. In order to give rise to such KK modes, the lepton number gauge boson must live on an abelian $U(1)_L$ brane extended along at least one "large" extra dimension in the bulk, with a compactification scale $M_L\sim\mathcal{O}(10-10^2~{\rm GeV})$ for a string scale $M_s\sim 10~{\rm TeV}$. As a consequence, $U(1)_L$ cannot participate to the hypercharge linear combination. We show that the minimal realisation of this framework contains five stacks of branes: the SM color $U(3)_c$, weak $U(2)_w$ and abelian $U(1)$ stacks extended effectively only in four dimensions, the bulk $U(1)_L$, as well as a fifth $U(1)^{'}$ brane. With these five abelian factors, one finds besides the hypercharge a second anomaly-free linear combination which does not couple to the SM spectrum, both in the non-supersymmetric case as well as in the minimal supersymmetric extension of the model. It is also shown how the right-handed neutrino can be implemented in the spectrum, and how fermions arising from the two non-SM branes and coupled to the SM through the $U(1)_L$ KK modes can provide Dark Matter candidates. Finally, the possibility of breaking Lepton Flavour Universality is studied by replacing $U(1)_L$ with a brane gauging only the muonic lepton number, avoiding most experimental constraints and enlarging the parameter space for explaining the discrepancy on the muon magnetic moment.

[ { "created": "Tue, 14 Dec 2021 17:44:39 GMT", "version": "v1" }, { "created": "Sat, 13 Aug 2022 13:29:03 GMT", "version": "v2" } ]

2022-08-16

[ [ "Antoniadis", "Ignatios", "" ], [ "Rondeau", "François", "" ] ]

It has been recently shown that the discrepancy between the theoretical and experimental values of the anomalous magnetic moment of the muon can be fully accommodated by considering the contribution of few Kaluza-Klein (KK) states of the gauged lepton number with masses lighter than the LEP energy, consistently with present experimental limits. In this article, we construct the minimal embedding of the Standard Model (SM) into D-brane configurations with a gauged lepton number. In order to give rise to such KK modes, the lepton number gauge boson must live on an abelian $U(1)_L$ brane extended along at least one "large" extra dimension in the bulk, with a compactification scale $M_L\sim\mathcal{O}(10-10^2~{\rm GeV})$ for a string scale $M_s\sim 10~{\rm TeV}$. As a consequence, $U(1)_L$ cannot participate to the hypercharge linear combination. We show that the minimal realisation of this framework contains five stacks of branes: the SM color $U(3)_c$, weak $U(2)_w$ and abelian $U(1)$ stacks extended effectively only in four dimensions, the bulk $U(1)_L$, as well as a fifth $U(1)^{'}$ brane. With these five abelian factors, one finds besides the hypercharge a second anomaly-free linear combination which does not couple to the SM spectrum, both in the non-supersymmetric case as well as in the minimal supersymmetric extension of the model. It is also shown how the right-handed neutrino can be implemented in the spectrum, and how fermions arising from the two non-SM branes and coupled to the SM through the $U(1)_L$ KK modes can provide Dark Matter candidates. Finally, the possibility of breaking Lepton Flavour Universality is studied by replacing $U(1)_L$ with a brane gauging only the muonic lepton number, avoiding most experimental constraints and enlarging the parameter space for explaining the discrepancy on the muon magnetic moment.

6.357088

7.857623

6.686125

6.577328

7.249099

7.593421

7.09404

7.191932

6.505188

6.908766

6.576444

6.584671

6.293581

6.206863

6.370112

6.474302

6.361385

6.512506

6.398837

6.492941

6.273018

hep-th/9302034

Stepanenko Alexander

S.E. Derkachov, N.A. Kivel, A.S. Stepanenko, A.N. Vasiliev

On Calculation of 1/n Expansions of Critical Exponents in the Gross-Neveu Model with the Conformal Technique

null

hep-th

null

A proof of critical conformal invariance of Green's functions for a quite wide class of models possessing critical scale invariance is given. A simple method for establishing critical conformal invariance of a composite operator, which has a certain critical dimension, is also presented. The method is illustrated with the example of the Gross--Neveu model and the exponents \et\ at order $1/n^3$, \Dl\ and $1/\nu$ at order $1/n^2$ are calculated with the conformal bootstrap method.

[ { "created": "Tue, 9 Feb 1993 15:46:08 GMT", "version": "v1" }, { "created": "Thu, 4 Mar 1993 12:58:44 GMT", "version": "v2" } ]

2008-02-03

[ [ "Derkachov", "S. E.", "" ], [ "Kivel", "N. A.", "" ], [ "Stepanenko", "A. S.", "" ], [ "Vasiliev", "A. N.", "" ] ]

A proof of critical conformal invariance of Green's functions for a quite wide class of models possessing critical scale invariance is given. A simple method for establishing critical conformal invariance of a composite operator, which has a certain critical dimension, is also presented. The method is illustrated with the example of the Gross--Neveu model and the exponents \et\ at order $1/n^3$, \Dl\ and $1/\nu$ at order $1/n^2$ are calculated with the conformal bootstrap method.

10.03392

10.648857

10.903043

9.588591

9.850233

10.820116

11.359162

10.438485

10.25805

10.36139

10.023618

9.360744

9.51269

9.394518

9.661119

9.498167

9.542759

9.377104

9.27492

9.205408

9.368749

1209.1068

Itzhak Bars

Traversing Cosmological Singularities, Complete Journeys Through Spacetime Including Antigravity

14 pages, 9 figures, minor corrections in v2

null

hep-th gr-qc

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

A unique description of the Big Crunch-Big Bang transition is given at the classical gravity level, along with a complete set of homogeneous, isotropic, analytic solutions in scalar-tensor cosmology, with radiation and curvature. All solutions repeat cyclically; they have been obtained by using conformal gauge symmetry (Weyl symmetry) as a powerful tool in cosmology, and more generally in gravity. The significance of the Big Crunch-Big Bang transition is that it provides a model independent analytic resolution of the singularity, as an unambiguous and unavoidable solution of the equations at the classical gravitational physics level. It is controlled only by geometry (including anisotropy) and only very general features of matter coupled to gravity, such as kinetic energy of a scalar field, and radiation due to all forms of relativistic matter. This analytic resolution of the singularity is due to an attractor mechanism created by the leading terms in the cosmological equation. It is unique, and it is unavoidable in classical relativity in a geodesically complete geometry. Its counterpart in quantum gravity remains to be understood.

[ { "created": "Wed, 5 Sep 2012 18:17:44 GMT", "version": "v1" }, { "created": "Thu, 6 Sep 2012 14:17:19 GMT", "version": "v2" } ]

2012-09-07

[ [ "Bars", "Itzhak", "" ] ]

A unique description of the Big Crunch-Big Bang transition is given at the classical gravity level, along with a complete set of homogeneous, isotropic, analytic solutions in scalar-tensor cosmology, with radiation and curvature. All solutions repeat cyclically; they have been obtained by using conformal gauge symmetry (Weyl symmetry) as a powerful tool in cosmology, and more generally in gravity. The significance of the Big Crunch-Big Bang transition is that it provides a model independent analytic resolution of the singularity, as an unambiguous and unavoidable solution of the equations at the classical gravitational physics level. It is controlled only by geometry (including anisotropy) and only very general features of matter coupled to gravity, such as kinetic energy of a scalar field, and radiation due to all forms of relativistic matter. This analytic resolution of the singularity is due to an attractor mechanism created by the leading terms in the cosmological equation. It is unique, and it is unavoidable in classical relativity in a geodesically complete geometry. Its counterpart in quantum gravity remains to be understood.

13.55564

15.008336

13.971528

13.08075

13.080962

13.85289

13.749946

13.034943

13.040096

14.245781

13.410853

12.719325

12.840497

12.670798

12.692969

12.716897

12.498544

12.447921

12.689442

13.167914

12.613977

1110.0201

S. Mignemi

Classical and quantum mechanics of the nonrelativistic Snyder model in curved space

21 pages; discussion of three-dimensional quantum mechanics added, error in quantum commutators corrected

null

hep-th

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

The Snyder-de Sitter (SdS) model is a generalization of the Snyder model to a spacetime background of constant curvature. It is an example of noncommutative spacetime admitting two fundamental scales besides the speed of light, and is invariant under the action of the de Sitter group. Here we consider its nonrelativistic counterpart, i.e. the Snyder model restricted to a three-dimensional sphere, and the related model obtained by considering the anti-Snyder model on a pseudosphere, that we call anti-Snyder-de Sitter (aSdS). By means of a nonlinear transformation relating the SdS phase space variables to canonical ones, we are able to investigate the classical and the quantum mechanics of a free particle and of an oscillator in this framework. As in their flat space limit, the SdS and aSdS models exhibit rather different properties. In the SdS case, a lower bound on the localization in position and momentum space arises, which is not present in the aSdS model. In the aSdS case, instead, a specific combination of position and momentum coordinates cannot exceed a constant value. We explicitly solve the classical and the quantum equations for the motion of the free particle and of the harmonic oscillator. In both the SdS and aSdS cases, the frequency of the harmonic oscillator acquires a dependence on the energy.

[ { "created": "Sun, 2 Oct 2011 16:32:22 GMT", "version": "v1" }, { "created": "Sat, 21 Jul 2012 09:53:05 GMT", "version": "v2" } ]

2012-07-24

[ [ "Mignemi", "S.", "" ] ]

The Snyder-de Sitter (SdS) model is a generalization of the Snyder model to a spacetime background of constant curvature. It is an example of noncommutative spacetime admitting two fundamental scales besides the speed of light, and is invariant under the action of the de Sitter group. Here we consider its nonrelativistic counterpart, i.e. the Snyder model restricted to a three-dimensional sphere, and the related model obtained by considering the anti-Snyder model on a pseudosphere, that we call anti-Snyder-de Sitter (aSdS). By means of a nonlinear transformation relating the SdS phase space variables to canonical ones, we are able to investigate the classical and the quantum mechanics of a free particle and of an oscillator in this framework. As in their flat space limit, the SdS and aSdS models exhibit rather different properties. In the SdS case, a lower bound on the localization in position and momentum space arises, which is not present in the aSdS model. In the aSdS case, instead, a specific combination of position and momentum coordinates cannot exceed a constant value. We explicitly solve the classical and the quantum equations for the motion of the free particle and of the harmonic oscillator. In both the SdS and aSdS cases, the frequency of the harmonic oscillator acquires a dependence on the energy.

5.726184

5.463097

5.519831

5.308354

5.436744

5.536427

5.739759

5.299055

5.362093

5.695936

5.318691

5.276541

5.396246

5.184531

5.308225

5.241997

5.177678

5.272292

5.291672

5.334323

5.186397

1906.02206

Ben Heidenreich

Ben Heidenreich, Matthew Reece, Tom Rudelius

Repulsive Forces and the Weak Gravity Conjecture

57 pages, 6 figures; v2: matches published version

JHEP 10 (2019) 055

10.1007/JHEP10(2019)055

null

hep-th

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

The Weak Gravity Conjecture is a nontrivial conjecture about quantum gravity that makes sharp, falsifiable predictions which can be checked in a broad range of string theory examples. However, in the presence of massless scalar fields (moduli), there are (at least) two inequivalent forms of the conjecture, one based on charge-to-mass ratios and the other based on long-range forces. We discuss the precise formulations of these two conjectures and the evidence for them, as well as the implications for black holes and for "strong forms" of the conjectures. Based on the available evidence, it seems likely that both conjectures are true, suggesting that there is a stronger criterion which encompasses both. We discuss one possibility.

[ { "created": "Wed, 5 Jun 2019 18:00:04 GMT", "version": "v1" }, { "created": "Thu, 29 Oct 2020 21:19:14 GMT", "version": "v2" } ]

2020-11-02

[ [ "Heidenreich", "Ben", "" ], [ "Reece", "Matthew", "" ], [ "Rudelius", "Tom", "" ] ]

The Weak Gravity Conjecture is a nontrivial conjecture about quantum gravity that makes sharp, falsifiable predictions which can be checked in a broad range of string theory examples. However, in the presence of massless scalar fields (moduli), there are (at least) two inequivalent forms of the conjecture, one based on charge-to-mass ratios and the other based on long-range forces. We discuss the precise formulations of these two conjectures and the evidence for them, as well as the implications for black holes and for "strong forms" of the conjectures. Based on the available evidence, it seems likely that both conjectures are true, suggesting that there is a stronger criterion which encompasses both. We discuss one possibility.

7.532588

6.99282

7.551791

6.5004

7.232259

6.928012

6.846575

6.994481

6.713375

7.813633

7.021433

7.166904

7.1436

6.694448

6.822232

6.773996

7.024079

7.012355

6.811468

6.899794

6.83742

hep-th/0305162

Zappala' Dario

P. Castorina, M. Mazza, D. Zappala'

Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density

Latex file, 12 pages, 2 eps figures, minor changes, added references, published version

Phys.Lett. B567 (2003) 31-38

10.1016/j.physletb.2003.06.005

null

hep-th

null

The Renormalization Group flow equations obtained by means of a proper time regulator are used to analyze the restoration of the discrete chiral symmetry at non-zero density and temperature in the Gross-Neveu model in d=2+1 dimensions. The effects of the wave function renormalization of the auxiliary scalar field on the transition have been studied. The analysis is performed for a number of fermion flavors N_f=12 and the limit of large N_f is also considered. The results are compared with those coming from lattice simulations.

[ { "created": "Mon, 19 May 2003 17:30:34 GMT", "version": "v1" }, { "created": "Mon, 22 Dec 2003 11:17:59 GMT", "version": "v2" } ]

2009-11-10

[ [ "Castorina", "P.", "" ], [ "Mazza", "M.", "" ], [ "Zappala'", "D.", "" ] ]

The Renormalization Group flow equations obtained by means of a proper time regulator are used to analyze the restoration of the discrete chiral symmetry at non-zero density and temperature in the Gross-Neveu model in d=2+1 dimensions. The effects of the wave function renormalization of the auxiliary scalar field on the transition have been studied. The analysis is performed for a number of fermion flavors N_f=12 and the limit of large N_f is also considered. The results are compared with those coming from lattice simulations.

7.933887

6.212293

6.855255

6.222497

6.693949

7.059338

6.46249

6.707929

6.452721

7.238509

6.614457

6.69108

7.081895

6.840784

6.699406

7.275731

7.010355

6.87249

6.877031

7.031507

6.820311

2008.13573

Mikhail Volkov

Romain Gervalle and Mikhail S. Volkov

Asymptotically flat hairy black holes in massive bigravity

57 pages, many figures, matches the published version

Phys. Rev. D 102, 124040 (2020)

10.1103/PhysRevD.102.124040

null

hep-th gr-qc

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

We study asymptotically flat black holes with massive graviton hair within the ghost-free bigravity theory. There have been contradictory statements in the literature about their existence -- such solutions were reported some time ago, but later a different group claimed the Schwarzschild solution to be the only asymptotically flat black hole in the theory. As a result, the controversy emerged. We have analyzed the issue ourselves and have been able to construct such solutions within a carefully designed numerical scheme. We find that for given parameter values there can be one or two asymptotically flat hairy black holes in addition to the Schwarzschild solution. We analyze their perturbative stability and find that they can be stable or unstable, depending on the parameter values. The masses of stable hairy black holes that would be physically relevant range form stellar values up to values typical for supermassive black holes. One of their two metrics is extremely close to Schwarzschild, while all their "hair" is hidden in the second metric that is not coupled to matter and not directly seen. If the massive bigravity theory indeed describes physics, the hair of such black holes should manifest themselves in violent processes like black hole collisions and should be visible in the structure of the signals detected by LIGO/VIRGO.

[ { "created": "Mon, 31 Aug 2020 12:57:35 GMT", "version": "v1" }, { "created": "Thu, 10 Sep 2020 12:15:34 GMT", "version": "v2" }, { "created": "Mon, 23 Nov 2020 14:10:14 GMT", "version": "v3" }, { "created": "Wed, 23 Dec 2020 17:25:09 GMT", "version": "v4" } ]

2021-01-04

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

We study asymptotically flat black holes with massive graviton hair within the ghost-free bigravity theory. There have been contradictory statements in the literature about their existence -- such solutions were reported some time ago, but later a different group claimed the Schwarzschild solution to be the only asymptotically flat black hole in the theory. As a result, the controversy emerged. We have analyzed the issue ourselves and have been able to construct such solutions within a carefully designed numerical scheme. We find that for given parameter values there can be one or two asymptotically flat hairy black holes in addition to the Schwarzschild solution. We analyze their perturbative stability and find that they can be stable or unstable, depending on the parameter values. The masses of stable hairy black holes that would be physically relevant range form stellar values up to values typical for supermassive black holes. One of their two metrics is extremely close to Schwarzschild, while all their "hair" is hidden in the second metric that is not coupled to matter and not directly seen. If the massive bigravity theory indeed describes physics, the hair of such black holes should manifest themselves in violent processes like black hole collisions and should be visible in the structure of the signals detected by LIGO/VIRGO.

9.612155

9.570953

9.742579

9.183838

9.818874

10.080382

9.479449

9.441629

9.649747

10.338013

9.196136

9.308531

9.426907

9.257704

9.582049

9.378828

9.198011

9.255733

9.43869

9.466794

9.189382

hep-th/0301129

Christian Armendariz-Picon

C. Armendariz-Picon and Patrick B. Greene

Spinors, Inflation, and Non-Singular Cyclic Cosmologies

12 two-column pages, 3 figures; uses RevTeX4

Gen.Rel.Grav.35:1637-1658,2003

10.1023/A:1025783118888

FERMILAB-Pub-03/014-A

hep-th astro-ph gr-qc

null

We consider toy cosmological models in which a classical, homogeneous, spinor field provides a dominant or sub-dominant contribution to the energy-momentum tensor of a flat Friedmann-Robertson-Walker universe. We find that, if such a field were to exist, appropriate choices of the spinor self-interaction would generate a rich variety of behaviors, quite different from their widely studied scalar field counterparts. We first discuss solutions that incorporate a stage of cosmic inflation and estimate the primordial spectrum of density perturbations seeded during such a stage. Inflation driven by a spinor field turns out to be unappealing as it leads to a blue spectrum of perturbations and requires considerable fine-tuning of parameters. We next find that, for simple, quartic spinor self-interactions, non-singular cyclic cosmologies exist with reasonable parameter choices. These solutions might eventually be incorporated into a successful past- and future-eternal cosmological model free of singularities. In an Appendix, we discuss the classical treatment of spinors and argue that certain quantum systems might be approximated in terms of such fields.

[ { "created": "Mon, 20 Jan 2003 20:56:13 GMT", "version": "v1" } ]

2014-11-18

[ [ "Armendariz-Picon", "C.", "" ], [ "Greene", "Patrick B.", "" ] ]

We consider toy cosmological models in which a classical, homogeneous, spinor field provides a dominant or sub-dominant contribution to the energy-momentum tensor of a flat Friedmann-Robertson-Walker universe. We find that, if such a field were to exist, appropriate choices of the spinor self-interaction would generate a rich variety of behaviors, quite different from their widely studied scalar field counterparts. We first discuss solutions that incorporate a stage of cosmic inflation and estimate the primordial spectrum of density perturbations seeded during such a stage. Inflation driven by a spinor field turns out to be unappealing as it leads to a blue spectrum of perturbations and requires considerable fine-tuning of parameters. We next find that, for simple, quartic spinor self-interactions, non-singular cyclic cosmologies exist with reasonable parameter choices. These solutions might eventually be incorporated into a successful past- and future-eternal cosmological model free of singularities. In an Appendix, we discuss the classical treatment of spinors and argue that certain quantum systems might be approximated in terms of such fields.

9.185463

9.138835

8.977348

9.137398

9.70143

10.134963

9.63718

8.958563

9.511021

9.686162

9.520004

9.3093

9.211901

8.907926

9.038345

9.093402

8.987656

9.202817

8.960355

9.413954

9.249613

hep-th/0008019

Hiroyuki T. Takata

Hiroyuki Takata (Matscience, Chennai)

Electric-Magnetic Duality in IIB Matrix Model with D-brane

Latex, 15 pages, 1 figure, talk at Lattice 2000, 17-22 August 2000, Bangalore, India

null

hep-th

null

We consider electric-magnetic duality(S-duality) in IIB matrix model with a D3-brane background. We propose the duality transformation by considering that of noncommutative Yang-Mills theory(NCYM) in four dimension. NCYM derived from the matrix model has a Yang-Mills coupling related to the noncommutativity of the spacetime. We argue that open strings bits as bi-local fields on the spacetime are decoupled from the bulk in NCOS decoupling limits as it is in string theory approach. We also discuss how our four dimensional spacetime relates to higher, by applying the decoupling and the commutative limits of the backgrounds of the matrix model.

[ { "created": "Wed, 2 Aug 2000 20:34:54 GMT", "version": "v1" } ]

2007-05-23

[ [ "Takata", "Hiroyuki", "", "Matscience, Chennai" ] ]

We consider electric-magnetic duality(S-duality) in IIB matrix model with a D3-brane background. We propose the duality transformation by considering that of noncommutative Yang-Mills theory(NCYM) in four dimension. NCYM derived from the matrix model has a Yang-Mills coupling related to the noncommutativity of the spacetime. We argue that open strings bits as bi-local fields on the spacetime are decoupled from the bulk in NCOS decoupling limits as it is in string theory approach. We also discuss how our four dimensional spacetime relates to higher, by applying the decoupling and the commutative limits of the backgrounds of the matrix model.

15.125951

13.780927

15.797575

13.402837

15.455157

15.231982

15.328611

14.171974

13.129775

17.110632

13.778693

13.934995

15.979217

13.985052

14.196698

14.477739

14.305517

13.812203

14.043882

15.235305

13.707273

1612.03840

Georgios Pastras

Revisiting the O(3) Non-linear Sigma Model and Its Pohlmeyer Reduction

27 pages, 3 figures

Fortsch.Phys. 66 (2018) no.1, 1700067

10.1002/prop.201700067

null

hep-th

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

It is well known that sigma models in symmetric spaces accept equivalent descriptions in terms of integrable systems such as the sine-Gordon equation through Pohlmeyer reduction. In this paper, we study the mapping between known solutions of the Euclidean O(3) non-linear sigma model, such as instantons, merons and elliptic solutions that interpolate between the latter and solutions of the Pohlmeyer reduced theory, namely the sinh-Gordon equation. It turns out that instantons do not have a counterpart, merons correspond to the ground state, while the class of elliptic solutions is characterized by a two to one correspondence between solutions in the two descriptions.

[ { "created": "Mon, 12 Dec 2016 18:39:37 GMT", "version": "v1" } ]

2018-01-10

[ [ "Pastras", "Georgios", "" ] ]

It is well known that sigma models in symmetric spaces accept equivalent descriptions in terms of integrable systems such as the sine-Gordon equation through Pohlmeyer reduction. In this paper, we study the mapping between known solutions of the Euclidean O(3) non-linear sigma model, such as instantons, merons and elliptic solutions that interpolate between the latter and solutions of the Pohlmeyer reduced theory, namely the sinh-Gordon equation. It turns out that instantons do not have a counterpart, merons correspond to the ground state, while the class of elliptic solutions is characterized by a two to one correspondence between solutions in the two descriptions.

7.710981

8.233342

9.140929

7.763667

7.79434

7.435538

7.549973

8.117249

7.66647

9.704846

7.267024

7.51753

7.731919

7.656434

7.635487

7.578357

7.720393

7.624991

7.208247

7.91694

7.312689

1905.02039

Ljubica Davidovic

Ljubica Davidovi\'c and Branislav Sazdovi\'c

Effective theories of two T-dual theories are also T-dual

null

Eur. Phys. J. C (2019) 79: 770

10.1140/epjc/s10052-019-7266-6

null

hep-th

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

We investigate how T-duality and solving the boundary conditions of the open bosonic string are related. We start by considering the T-dualization of the open string moving in the constant background. We take that the coordinates of the initial theory satisfy either Neumann or Dirichlet boundary conditions. It follows that the coordinates of T-dual theory satisfy exactly the opposite set of boundary conditions. We treat the boundary conditions of both theories as constraints, and apply the Dirac procedure to them, which results in forming $\sigma$-dependent constraints. We solve these constraints and obtain the effective theories for the solution. We show that the effective closed string theories are also T-dual.

[ { "created": "Mon, 6 May 2019 13:36:23 GMT", "version": "v1" } ]

2019-10-21

[ [ "Davidović", "Ljubica", "" ], [ "Sazdović", "Branislav", "" ] ]

We investigate how T-duality and solving the boundary conditions of the open bosonic string are related. We start by considering the T-dualization of the open string moving in the constant background. We take that the coordinates of the initial theory satisfy either Neumann or Dirichlet boundary conditions. It follows that the coordinates of T-dual theory satisfy exactly the opposite set of boundary conditions. We treat the boundary conditions of both theories as constraints, and apply the Dirac procedure to them, which results in forming $\sigma$-dependent constraints. We solve these constraints and obtain the effective theories for the solution. We show that the effective closed string theories are also T-dual.

8.809638

9.071574

10.556537

8.486447

9.005658

8.587279

8.323521

8.390328

8.65709

10.502484

8.47508

8.236508

9.075685

8.490752

8.56328

8.603641

8.356556

8.540872

8.550609

9.007494

8.55769

1711.07787

Tim De Jonckheere

Modave lectures on bulk reconstruction in AdS/CFT

35 pages, 8 figures, lecture notes, v4: a few minor improvements upon the published proceedings version (version 3 of these lecture notes in arXiv) have been implemented

PoS Modave2017 (2018) 005

null

hep-th

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

These lecture notes are based on a series of lectures given at the XIII Modave summer school in mathematical physics. We review the construction due to Hamilton, Kabat, Lifschytz and Lowe for reconstructing local bulk operators from CFT operators in the context of AdS/CFT and show how to recover bulk correlation functions from this definition. Building on the work of these authors, it has been noted that the bulk displays quantum error correcting properties. We will discuss tensor network toy models to exemplify these remarkable features. We will discuss the role of gauge invariance and of diffeomorphism symmetry in the reconstruction of bulk operators. Lastly, we provide another method of bulk reconstruction specified to AdS$_3$/CFT$_2$ in which bulk operators create cross-cap states in the CFT.

[ { "created": "Tue, 21 Nov 2017 13:55:29 GMT", "version": "v1" }, { "created": "Mon, 11 Dec 2017 13:01:07 GMT", "version": "v2" }, { "created": "Thu, 29 Mar 2018 10:04:13 GMT", "version": "v3" }, { "created": "Wed, 27 Jun 2018 16:37:39 GMT", "version": "v4" } ]

2018-06-28

[ [ "De Jonckheere", "Tim", "" ] ]

These lecture notes are based on a series of lectures given at the XIII Modave summer school in mathematical physics. We review the construction due to Hamilton, Kabat, Lifschytz and Lowe for reconstructing local bulk operators from CFT operators in the context of AdS/CFT and show how to recover bulk correlation functions from this definition. Building on the work of these authors, it has been noted that the bulk displays quantum error correcting properties. We will discuss tensor network toy models to exemplify these remarkable features. We will discuss the role of gauge invariance and of diffeomorphism symmetry in the reconstruction of bulk operators. Lastly, we provide another method of bulk reconstruction specified to AdS$_3$/CFT$_2$ in which bulk operators create cross-cap states in the CFT.

9.452649

8.546914

12.445765

8.115237

8.432851

8.95305

8.349463

8.455268

7.962254

11.751452

7.915374

8.147909

9.148487

8.421768

8.111942

8.308024

7.818175

8.323104

8.090126

8.704081

8.22751

0711.2898

Giuliano Niccoli G.

G. Cristofano, V. Marotta, P. Minnhagen, A. Naddeo and G. Niccoli

New Results on the Phase Diagram of the FFXY Model: A Twisted CFT Approach

7 pages; talk given by G. Niccoli at "Path Integrals - New Trends and Perspectives International Conference", Max-Planck-Institut, Dresden, Germany, September 23 - 28, 2007

null

10.1142/9789812837271_0076

null

hep-th

null

The issue of the number, nature and sequence of phase transitions in the fully frustrated XY (FFXY) model is a highly non trivial one due to the complex interplay between its continuous and discrete degrees of freedom. In this contribution we attack such a problem by means of a twisted conformal field theory (CFT) approach and show how it gives rise to the U (1)$\otimes Z_{2}$ symmetry and to the whole spectrum of excitations of the FFXY model.

[ { "created": "Mon, 19 Nov 2007 11:26:57 GMT", "version": "v1" } ]

2017-08-23

[ [ "Cristofano", "G.", "" ], [ "Marotta", "V.", "" ], [ "Minnhagen", "P.", "" ], [ "Naddeo", "A.", "" ], [ "Niccoli", "G.", "" ] ]

The issue of the number, nature and sequence of phase transitions in the fully frustrated XY (FFXY) model is a highly non trivial one due to the complex interplay between its continuous and discrete degrees of freedom. In this contribution we attack such a problem by means of a twisted conformal field theory (CFT) approach and show how it gives rise to the U (1)$\otimes Z_{2}$ symmetry and to the whole spectrum of excitations of the FFXY model.

8.690731

9.086022

8.95984

8.582989

8.594677

9.047523

8.447835

8.603384

9.177032

9.066607

8.207494

8.378629

8.751756

8.533128

8.405997

8.306036

8.293003

8.203963

8.933346

8.911799

8.249205

hep-th/0009160

Shinpei Kobayashi

Shinpei Kobayashi, Kazuya Koyama and Jiro Soda

Quantum Fluctuations of Bulk Inflaton in Inflationary Brane World

14 pages, 2 figures

Phys.Lett. B501 (2001) 157-164

10.1016/S0370-2693(01)00137-X

KUCP0168

hep-th astro-ph gr-qc

null

The inflationary scenario for the brane world driven by the bulk inflaton is proposed. The quantum fluctuations of the inflaton is calculated and compared to those of the conventional 4-dimensional inflationary scenario. It is shown that the deviation of the primordial spectrum of this model from that of the conventional one is too small to be observed even if $AdS$ radius is very large. Hence, it turns out that the inflation caused by the bulk inflaton is viable in the context of brane world cosmology.

[ { "created": "Thu, 21 Sep 2000 02:06:34 GMT", "version": "v1" } ]

2009-10-31

[ [ "Kobayashi", "Shinpei", "" ], [ "Koyama", "Kazuya", "" ], [ "Soda", "Jiro", "" ] ]

The inflationary scenario for the brane world driven by the bulk inflaton is proposed. The quantum fluctuations of the inflaton is calculated and compared to those of the conventional 4-dimensional inflationary scenario. It is shown that the deviation of the primordial spectrum of this model from that of the conventional one is too small to be observed even if $AdS$ radius is very large. Hence, it turns out that the inflation caused by the bulk inflaton is viable in the context of brane world cosmology.

7.705369

6.462989

6.327795

6.18518

6.692549

6.202496

6.304057

6.031694

6.829816

7.295258

6.719213

6.86918

6.804341

6.784367

6.580376

6.632598

6.880619

6.777489

6.812846

6.775797

6.93495

hep-th/9304141

Andreas Fring

A. Fring and R. K\"oberle

Factorized Scattering in the Presence of Reflecting Boundaries

18p., USP-IFQSC/TH/93-06

Nucl.Phys.B421:159-172,1994

10.1016/0550-3213(94)90229-1

null

hep-th

null

We formulate a general set of consistency requirements, which are expected to be satisfied by the scattering matrices in the presence of reflecting boundaries. In particular we derive an equivalent to the boostrap equation involving the W-matrix, which encodes the reflection of a particle off a wall. This set of equations is sufficient to derive explicit formulas for $W$, which we illustrate in the case of some particular affine Toda field theories.

[ { "created": "Tue, 27 Apr 1993 19:06:00 GMT", "version": "v1" } ]

2011-05-05

[ [ "Fring", "A.", "" ], [ "Köberle", "R.", "" ] ]

We formulate a general set of consistency requirements, which are expected to be satisfied by the scattering matrices in the presence of reflecting boundaries. In particular we derive an equivalent to the boostrap equation involving the W-matrix, which encodes the reflection of a particle off a wall. This set of equations is sufficient to derive explicit formulas for $W$, which we illustrate in the case of some particular affine Toda field theories.

16.136835

10.73219

15.253827

11.411396

11.337073

10.882258

12.692692

12.155518

10.703394

15.632961

12.046752

10.795187

14.881379

11.670579

10.923567

11.183393

11.024509

11.607654

11.681698

14.030576

11.45899

hep-th/9408019

Eduardo Ramos

E. Ramos and J. Roca

W-symmetry and the rigid particle

14 pages, plain TeX (macros included). QMW-PH-94-23

Nucl.Phys. B436 (1995) 529-544

10.1016/0550-3213(94)00507-B

null

hep-th

null

We prove that $\W_3$ is the gauge symmetry of the scale-invariant rigid particle, whose action is given by the integrated extrinsic curvature of its world line. This is achieved by showing that its equations of motion can be written in terms of the Boussinesq operator. The $\W_3$ generators $T$ and $W$ then appear respectively as functions of the induced world line metric and the extrinsic curvature. We also show how the equations of motion for the standard relativistic particle arise from those of the rigid particle whenever it is consistent to impose the ``zero-curvature gauge'', and how to rewrite them in terms of the $\KdV$ operator. The relation between particle models and integrable systems is further pursued in the case of the spinning particle, whose equations of motion are closely related to the $\SKdV$ operator. We also partially extend our analysis in the supersymmetric domain to the scale invariant rigid particle by explicitly constructing a supercovariant version of its action. Comment: This is an expanded version of hep-th/9406072 (to be published in the Proceedings of the Workshop on the Geometry of Constrained Dynamical Systems, held at the Isaac Newton Institute for Mathematical Sciences, Cambridge, June 14-18, 1994.).

[ { "created": "Wed, 3 Aug 1994 16:24:12 GMT", "version": "v1" } ]

2009-10-28

[ [ "Ramos", "E.", "" ], [ "Roca", "J.", "" ] ]

We prove that $\W_3$ is the gauge symmetry of the scale-invariant rigid particle, whose action is given by the integrated extrinsic curvature of its world line. This is achieved by showing that its equations of motion can be written in terms of the Boussinesq operator. The $\W_3$ generators $T$ and $W$ then appear respectively as functions of the induced world line metric and the extrinsic curvature. We also show how the equations of motion for the standard relativistic particle arise from those of the rigid particle whenever it is consistent to impose the ``zero-curvature gauge'', and how to rewrite them in terms of the $\KdV$ operator. The relation between particle models and integrable systems is further pursued in the case of the spinning particle, whose equations of motion are closely related to the $\SKdV$ operator. We also partially extend our analysis in the supersymmetric domain to the scale invariant rigid particle by explicitly constructing a supercovariant version of its action. Comment: This is an expanded version of hep-th/9406072 (to be published in the Proceedings of the Workshop on the Geometry of Constrained Dynamical Systems, held at the Isaac Newton Institute for Mathematical Sciences, Cambridge, June 14-18, 1994.).

8.723063

9.015874

9.075025

8.206689

8.964222

9.121402

8.415685

8.699013

8.320374

10.406091

8.403419

8.695037

8.255427

8.311234

8.470775

8.649349

8.433696

8.440742

8.248176

8.678559

8.2448

1911.12388

Pietro Ferrero

Pietro Ferrero, Kausik Ghosh, Aninda Sinha, Ahmadullah Zahed

Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs

90 pages, 6 figures

null

10.1007/JHEP07(2020)170

null

hep-th

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

We develop the technology for Polyakov-Mellin (PM) bootstrap in one-dimensional conformal field theories (CFT$_1$). By adding appropriate contact terms, we bootstrap various effective field theories in AdS$_2$ and analytically compute the CFT data to one loop. The computation can be extended to higher orders in perturbation theory, if we ignore mixing, for any external dimension. We develop PM bootstrap for $O(N)$ theories and derive the necessary contact terms for such theories (which also involves a new higher gradient contact term absent for $N=1$). We perform cross-checks which include considering the diagonal limit of the $2d$ Ising model in terms of the $1d$ PM blocks. As an independent check of the validity of the results obtained with PM bootstrap, we propose a suitable basis of transcendental functions, which allows to fix the four-point correlators of identical scalar primaries completely, up to a finite number of ambiguities related to the number of contact terms in the PM basis. We perform this analysis both at tree level (with and without exchanges) and at one loop. We also derive expressions for the corresponding CFT data in terms of harmonic sums. Finally, we consider the Regge limit of one-dimensional correlators and derive a precise connection between the latter and the large-twist limit of CFT data. Exploiting this result, we study the crossing equation in the three OPE limits and derive some universal constraints for the large-twist limit of CFT data in Regge-bounded theories with a finite number of exchanges.

[ { "created": "Wed, 27 Nov 2019 19:26:39 GMT", "version": "v1" }, { "created": "Tue, 21 Apr 2020 20:28:32 GMT", "version": "v2" } ]

2020-08-26

[ [ "Ferrero", "Pietro", "" ], [ "Ghosh", "Kausik", "" ], [ "Sinha", "Aninda", "" ], [ "Zahed", "Ahmadullah", "" ] ]

We develop the technology for Polyakov-Mellin (PM) bootstrap in one-dimensional conformal field theories (CFT$_1$). By adding appropriate contact terms, we bootstrap various effective field theories in AdS$_2$ and analytically compute the CFT data to one loop. The computation can be extended to higher orders in perturbation theory, if we ignore mixing, for any external dimension. We develop PM bootstrap for $O(N)$ theories and derive the necessary contact terms for such theories (which also involves a new higher gradient contact term absent for $N=1$). We perform cross-checks which include considering the diagonal limit of the $2d$ Ising model in terms of the $1d$ PM blocks. As an independent check of the validity of the results obtained with PM bootstrap, we propose a suitable basis of transcendental functions, which allows to fix the four-point correlators of identical scalar primaries completely, up to a finite number of ambiguities related to the number of contact terms in the PM basis. We perform this analysis both at tree level (with and without exchanges) and at one loop. We also derive expressions for the corresponding CFT data in terms of harmonic sums. Finally, we consider the Regge limit of one-dimensional correlators and derive a precise connection between the latter and the large-twist limit of CFT data. Exploiting this result, we study the crossing equation in the three OPE limits and derive some universal constraints for the large-twist limit of CFT data in Regge-bounded theories with a finite number of exchanges.

11.181969

10.921728

12.432583

10.930466

11.774088

11.102619

11.041556

10.512119

10.796602

12.556553

10.566979

10.421871

11.043383

10.378746

10.604343

10.312551

10.654068

10.400065

10.367803

10.809066

10.539692

hep-th/9202017

Sheldon Katz

Rational Curves on Calabi-Yau Threefolds

10 pages. This is a survey talk given at the May 1991 Workshop on Mirror Symmetry at MSRI

null

hep-th math.AG

null

By considering mirror symmetry applied to conformal field theories corresponding to strings propagating in quintic hypersurfaces in projective 4-space, Candelas, de la Ossa, Green and Parkes calculated the ``number of rational curves on the hypersurface'' by comparing three point functions. Actually, the number of curves may be infinite for special examples; what is really being calculated is a path integral. The point of this talk is to give mathematical techniques and examples for computing the finite number that ``should'' correspond to an infinite family of curves (which coincides with that given by the path integral in every known instance), and to suggest that these techniques should provide the answer to the not yet solved problem of how to calculate instanton corrections to the three point function in general.

[ { "created": "Wed, 5 Feb 1992 17:52:58 GMT", "version": "v1" } ]

2008-02-03

[ [ "Katz", "Sheldon", "" ] ]

By considering mirror symmetry applied to conformal field theories corresponding to strings propagating in quintic hypersurfaces in projective 4-space, Candelas, de la Ossa, Green and Parkes calculated the ``number of rational curves on the hypersurface'' by comparing three point functions. Actually, the number of curves may be infinite for special examples; what is really being calculated is a path integral. The point of this talk is to give mathematical techniques and examples for computing the finite number that ``should'' correspond to an infinite family of curves (which coincides with that given by the path integral in every known instance), and to suggest that these techniques should provide the answer to the not yet solved problem of how to calculate instanton corrections to the three point function in general.

12.351541

13.209733

16.816347

11.542905

13.030648

13.544082

13.487251

11.796322

12.655464

16.487684

12.836765

11.871422

14.170592

11.897067

11.862226

12.220612

11.974761

12.216239

11.769078

13.52217

11.50989

hep-th/0005278

Ryu Sasaki

S.P. Khastgir and R. Sasaki

Liouville Integrability of Classical Calogero-Moser Models

8 pages, LaTeX2e, no figures

Phys.Lett. A279 (2001) 189-193

10.1016/S0375-9601(00)00842-2

YITP-00-31

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

null

Liouville integrability of classical Calogero-Moser models is proved for models based on any root systems, including the non-crystallographic ones. It applies to all types of elliptic potentials, i.e. untwisted and twisted together with their degenerations (hyperbolic, trigonometric and rational), except for the rational potential models confined by a harmonic force.

[ { "created": "Tue, 30 May 2000 10:20:29 GMT", "version": "v1" } ]

2009-10-31

[ [ "Khastgir", "S. P.", "" ], [ "Sasaki", "R.", "" ] ]

Liouville integrability of classical Calogero-Moser models is proved for models based on any root systems, including the non-crystallographic ones. It applies to all types of elliptic potentials, i.e. untwisted and twisted together with their degenerations (hyperbolic, trigonometric and rational), except for the rational potential models confined by a harmonic force.

9.943649

8.762219

11.792356

9.080875

8.419807

8.429272

8.039993

7.659863

7.761528

10.715691

8.252069

9.350967

9.276019

8.474009

8.670094

9.149662

8.499195

8.970256

8.518363

8.577772

8.755084

2102.10970

Luigi Alfonsi

Towards an extended/higher correspondence -- Generalised geometry, bundle gerbes and global Double Field Theory

Prepared for submission to Complex Manifolds, special issue: Generalized Geometry. 35 pages, 2 figures. Published version

Complex Manifolds, vol. 8, special issue "Generalized Geometry" (2021), pp. 302-328

10.1515/coma-2020-0121

QMUL-PH-21-11

hep-th math.DG

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

In this short paper, we will review the proposal of a correspondence between the doubled geometry of Double Field Theory and the higher geometry of bundle gerbes. Double Field Theory is T-duality covariant formulation of the supergravity limit of String Theory, which generalises Kaluza-Klein theory by unifying metric and Kalb-Ramond field on a doubled-dimensional space. In light of the proposed correspondence, this doubled geometry is interpreted as an atlas description of the higher geometry of bundle gerbes. In this sense, Double Field Theory can be interpreted as a field theory living on the total space of the bundle gerbe, just like Kaluza-Klein theory is set on the total space of a principal bundle. This correspondence provides a higher geometric interpretation for para-Hermitian geometry which opens the door to its generalisation to the other Extended Field Theories. This review is based on, but not limited to, my talk at the workshop Generalized Geometry and Applications at Universit\"at Hamburg on 3rd of March 2020.

[ { "created": "Mon, 22 Feb 2021 13:20:26 GMT", "version": "v1" }, { "created": "Tue, 23 Feb 2021 15:39:06 GMT", "version": "v2" }, { "created": "Wed, 6 Oct 2021 12:24:17 GMT", "version": "v3" } ]

2021-10-27

[ [ "Alfonsi", "Luigi", "" ] ]

In this short paper, we will review the proposal of a correspondence between the doubled geometry of Double Field Theory and the higher geometry of bundle gerbes. Double Field Theory is T-duality covariant formulation of the supergravity limit of String Theory, which generalises Kaluza-Klein theory by unifying metric and Kalb-Ramond field on a doubled-dimensional space. In light of the proposed correspondence, this doubled geometry is interpreted as an atlas description of the higher geometry of bundle gerbes. In this sense, Double Field Theory can be interpreted as a field theory living on the total space of the bundle gerbe, just like Kaluza-Klein theory is set on the total space of a principal bundle. This correspondence provides a higher geometric interpretation for para-Hermitian geometry which opens the door to its generalisation to the other Extended Field Theories. This review is based on, but not limited to, my talk at the workshop Generalized Geometry and Applications at Universit\"at Hamburg on 3rd of March 2020.

6.633135

6.217554

7.158299

6.175958

6.367023

6.476732

6.377646

5.982405

6.392864

7.281317

6.046977

6.376039

6.373116

6.119384

6.120956

6.111874

6.256669

6.136544

6.170891

6.603185

6.0673

hep-th/0010132

J. Bijtebier

Towards a 3D reduction of the N-body Bethe-Salpeter equation

4 pages. Poster presented at the XVIIth conference on few-body problems in physics, Evora 2000

null

hep-th

null

Starting with the homogeneous Bethe-Salpeter equation for two fermions, we perform a 3D reduction using a series expansion around an unspecified positive-energy instantaneous approximation of the kernel. A second series expansion is made, at the 3D level, in order to get an "hermitian" potential. The combination of both series gives a very simple result, which does not depend of the initial approximation of the kernel anymore, and could be obtained directly by starting with an approximation of the free propagator. The generalisation of this result to a system of f (=0,...N) fermions and N-f bosons is easy.

[ { "created": "Tue, 17 Oct 2000 08:10:21 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bijtebier", "J.", "" ] ]

Starting with the homogeneous Bethe-Salpeter equation for two fermions, we perform a 3D reduction using a series expansion around an unspecified positive-energy instantaneous approximation of the kernel. A second series expansion is made, at the 3D level, in order to get an "hermitian" potential. The combination of both series gives a very simple result, which does not depend of the initial approximation of the kernel anymore, and could be obtained directly by starting with an approximation of the free propagator. The generalisation of this result to a system of f (=0,...N) fermions and N-f bosons is easy.

14.059702

13.877233

12.303487

11.660425

13.914424

13.879632

12.464293

12.217894

11.810431

14.296999

12.283902

13.095803

12.329719

12.584552

12.952787

12.412215

12.838182

13.161468

12.414313

12.585809

13.112034

1109.4940

Andreas Stergiou

Jean-Fran\c{c}ois Fortin, Kenneth Intriligator, Andreas Stergiou

Superconformally Covariant OPE and General Gauge Mediation

33 pages, 4 figures

JHEP12(2011)064

10.1007/JHEP12(2011)064

UCSD-PTH-11-09

hep-th hep-ph

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

We consider using broken superconformal symmetry and the super operator product expansion (sOPE) to constrain and analyze hidden sector theories that couple to our gauge forces and are not necessarily weakly coupled. Conformal and supersymmetry breaking are IR effects, associated with field or spurion expectation values, whereas the sOPE is determined in the UV and hence does not notice the breaking. The broken superconformal symmetry relates OPE coefficients of superconformal descendant operators to those of the superconformal primaries. We apply these ideas to the current correlators of general gauge mediation (GGM). We also consider analyticity properties of these correlators, e.g. their discontinuities, and use the optical theorem to relate them to total scattering cross sections from visible to hidden sector states, e.g. sigma(vis + vis --> hidden), analogous to sigma(e+ e- --> hadrons) in QCD. We discuss how the current-current OPE can be truncated to the first few terms to get a good approximation to the visible sector soft masses of GGM.

[ { "created": "Thu, 22 Sep 2011 20:00:01 GMT", "version": "v1" } ]

2011-12-20

[ [ "Fortin", "Jean-François", "" ], [ "Intriligator", "Kenneth", "" ], [ "Stergiou", "Andreas", "" ] ]

We consider using broken superconformal symmetry and the super operator product expansion (sOPE) to constrain and analyze hidden sector theories that couple to our gauge forces and are not necessarily weakly coupled. Conformal and supersymmetry breaking are IR effects, associated with field or spurion expectation values, whereas the sOPE is determined in the UV and hence does not notice the breaking. The broken superconformal symmetry relates OPE coefficients of superconformal descendant operators to those of the superconformal primaries. We apply these ideas to the current correlators of general gauge mediation (GGM). We also consider analyticity properties of these correlators, e.g. their discontinuities, and use the optical theorem to relate them to total scattering cross sections from visible to hidden sector states, e.g. sigma(vis + vis --> hidden), analogous to sigma(e+ e- --> hadrons) in QCD. We discuss how the current-current OPE can be truncated to the first few terms to get a good approximation to the visible sector soft masses of GGM.

9.904756

11.633487

10.801636

9.954907

10.831289

11.298618

10.719079

10.634466

9.526294

11.391298

10.019923

9.907179

10.231481

9.809731

9.920424

9.893784

9.639439

9.917743

9.867595

10.290004

9.9066

1608.00399

Robert de Mello Koch

Robert de Mello Koch, David Gossman, Lwazi Nkumane, Laila Tribelhorn

Eigenvalue Dynamics for Multimatrix Models

28+1 pages

Phys. Rev. D 96, 026011 (2017)

10.1103/PhysRevD.96.026011

null

hep-th

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

By performing explicit computations of correlation functions, we find evidence that there is a sector of the two matrix model defined by the $SU(2)$ sector of ${\cal N}=4$ super Yang-Mills theory, that can be reduced to eigenvalue dynamics. There is an interesting generalization of the usual Van der Monde determinant that plays a role. The observables we study are the BPS operators of the $SU(2)$ sector and include traces of products of both matrices, which are genuine multi matrix observables. These operators are associated to supergravity solutions of string theory.

[ { "created": "Mon, 1 Aug 2016 12:17:39 GMT", "version": "v1" }, { "created": "Mon, 8 Aug 2016 12:28:02 GMT", "version": "v2" } ]

2017-07-19

[ [ "Koch", "Robert de Mello", "" ], [ "Gossman", "David", "" ], [ "Nkumane", "Lwazi", "" ], [ "Tribelhorn", "Laila", "" ] ]

By performing explicit computations of correlation functions, we find evidence that there is a sector of the two matrix model defined by the $SU(2)$ sector of ${\cal N}=4$ super Yang-Mills theory, that can be reduced to eigenvalue dynamics. There is an interesting generalization of the usual Van der Monde determinant that plays a role. The observables we study are the BPS operators of the $SU(2)$ sector and include traces of products of both matrices, which are genuine multi matrix observables. These operators are associated to supergravity solutions of string theory.

9.724165

9.146077

9.948805

8.822304

9.391124

10.240064

9.69558

9.041903

8.678232

11.214276

8.50389

8.639829

9.374806

8.610436

8.715275

8.362031

8.950909

8.658428

8.756935

9.559347

8.692712

1911.08392

Andre Alves Lima

A.A. Lima, U. Camara da Silva, G.M. Sotkov

Conformal Scale Factor Inversion for Domain Walls and Holography

V2 - improved and extended version; 12 figures; 40 pgs; few references added. V3 - 55 pages, 7 figures; extended and corrected version; accepted for publication in Physical Review D

Phys. Rev. D 102, 046009 (2020)

10.1103/PhysRevD.102.046009

null

hep-th gr-qc

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

We describe a correspondence between domain wall solutions of Einstein gravity with a single scalar field and self-interaction potential. The correspondence we call 'conformal scale factor inversion (CSFI)' is a map comprising the inversion of the scale factor in conformal coordinates, and a transformation of the field and its potential which preserves the form of the Einstein equations for static and isotropic domain walls. By construction, CSFI maps the asymptotic AdS boundary to the vicinity of a naked singularity in a theory with a special Liouville (exponential) scalar field potential; it is also a map in the parameter space of exponential potentials. The correspondence can be extended to linear fluctuations, being akin to an S-duality, and can be interpreted in terms of 'SUSY quantum mechanics' for the fluctuation modes. The holographic implementation of CSFI relates the UV and IR regimes of a pair of holographic renormalization group flows; in particular, it is a symmetry of the GPPZ flow.

[ { "created": "Tue, 19 Nov 2019 16:51:30 GMT", "version": "v1" }, { "created": "Mon, 27 Jan 2020 06:26:54 GMT", "version": "v2" }, { "created": "Tue, 4 Aug 2020 21:46:16 GMT", "version": "v3" } ]

2020-08-19

[ [ "Lima", "A. A.", "" ], [ "da Silva", "U. Camara", "" ], [ "Sotkov", "G. M.", "" ] ]

We describe a correspondence between domain wall solutions of Einstein gravity with a single scalar field and self-interaction potential. The correspondence we call 'conformal scale factor inversion (CSFI)' is a map comprising the inversion of the scale factor in conformal coordinates, and a transformation of the field and its potential which preserves the form of the Einstein equations for static and isotropic domain walls. By construction, CSFI maps the asymptotic AdS boundary to the vicinity of a naked singularity in a theory with a special Liouville (exponential) scalar field potential; it is also a map in the parameter space of exponential potentials. The correspondence can be extended to linear fluctuations, being akin to an S-duality, and can be interpreted in terms of 'SUSY quantum mechanics' for the fluctuation modes. The holographic implementation of CSFI relates the UV and IR regimes of a pair of holographic renormalization group flows; in particular, it is a symmetry of the GPPZ flow.

11.033629

11.302762

11.07993

10.375062

11.081897

11.50632

11.609801

10.810733

10.405138

12.446344

9.984336

10.511596

10.648645

10.307184

10.704431

10.435222

10.788662

10.590799

10.305167

10.83727

10.309349

1910.04197

Peter Weck

Ibrahima Bah, Ross Dempsey, and Peter Weck

Kerr-Schild Double Copy and Complex Worldlines

To be published in JHEP. Version updated in include clarifications in wording, new sentences making a few additional remarks, and typo corrections

J. High Energ. Phys. 2020, 180 (2020)

10.1007/JHEP02(2020)180

null

hep-th

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

We use the classical double copy to identify a necessary condition for Maxwell theory sources to constitute single copies of Kerr-Schild solutions to Einstein's equations. In the case of four-dimensional Kerr-Schild spacetimes on Minkowski backgrounds, we extend this condition to a parameterization of the corresponding single copies. These are given by Li\'enard-Wiechert fields of charges on complex worldlines. This unifies the known instances of the Kerr-Schild double copy black holes on flat four-dimensional backgrounds into a single framework. Furthermore, we use the more generic condition identified to show why the black ring in five dimensions does not admit Kerr-Schild coordinates.

[ { "created": "Wed, 9 Oct 2019 18:37:40 GMT", "version": "v1" }, { "created": "Mon, 24 Feb 2020 19:00:26 GMT", "version": "v2" } ]

2020-03-10

[ [ "Bah", "Ibrahima", "" ], [ "Dempsey", "Ross", "" ], [ "Weck", "Peter", "" ] ]

We use the classical double copy to identify a necessary condition for Maxwell theory sources to constitute single copies of Kerr-Schild solutions to Einstein's equations. In the case of four-dimensional Kerr-Schild spacetimes on Minkowski backgrounds, we extend this condition to a parameterization of the corresponding single copies. These are given by Li\'enard-Wiechert fields of charges on complex worldlines. This unifies the known instances of the Kerr-Schild double copy black holes on flat four-dimensional backgrounds into a single framework. Furthermore, we use the more generic condition identified to show why the black ring in five dimensions does not admit Kerr-Schild coordinates.

12.929881

12.546941

12.91407

11.939414

11.801858

12.028324

11.925269

12.463933

12.28834

13.178049

11.153687

11.283267

11.964371

11.529166

11.79134

11.137658

11.510789

11.676037

11.362605

12.43611

11.185636

1807.10512

Dennis Stock

Jan M. Pawlowski, Dennis Stock

Quantum Improved Schwarzschild-(A)dS and Kerr-(A)dS Space-times

21 pages, 25 figures

Phys. Rev. D 98, 106008 (2018)

10.1103/PhysRevD.98.106008

null

hep-th gr-qc

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

We discuss quantum black holes in asymptotically safe quantum gravity with a scale identification based on the Kretschmann scalar. After comparing this scenario with other scale identifications, we investigate in detail the Kerr-(A)dS and Schwarzschild-(A)dS space-times. The global structure of these geometries is studied as well as the central curvature singularity and test particle trajectories. The existence of a Planck-sized, extremal, zero temperature black hole remnant guarantees a stable endpoint of the evaporation process via Hawking radiation.

[ { "created": "Fri, 27 Jul 2018 09:46:43 GMT", "version": "v1" } ]

2019-02-11

[ [ "Pawlowski", "Jan M.", "" ], [ "Stock", "Dennis", "" ] ]

We discuss quantum black holes in asymptotically safe quantum gravity with a scale identification based on the Kretschmann scalar. After comparing this scenario with other scale identifications, we investigate in detail the Kerr-(A)dS and Schwarzschild-(A)dS space-times. The global structure of these geometries is studied as well as the central curvature singularity and test particle trajectories. The existence of a Planck-sized, extremal, zero temperature black hole remnant guarantees a stable endpoint of the evaporation process via Hawking radiation.

10.178675

9.56905

8.780112

9.508085

8.875463

9.065737

10.712546

9.147601

9.433421

9.627967

9.452662

9.782372

9.641664

9.67275

9.205462

9.443343

9.290911

8.98484

9.46408

9.385939

9.459256

1410.5047

Junjie Rao

Soft Theorem of N=4 SYM in Grassmannian Formulation

17 pages, 2 appendices

JHEP 1502 (2015) 087

10.1007/JHEP02(2015)087

null

hep-th

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

Inspired by the new soft theorem in gravity by Cachazo and Strominger, the soft theorem for color-ordered Yang-Mills amplitudes has also been identified by Casali. In this note, the same content of N=4 SYM using the Grassmannian formulation is studied. Explicitly, in the holomorphic soft limit, we reduce the n-particle amplitude in terms of Grassmannian contour integrations into the deformed (n-1)-particle amplitude by localizing k variables relevant to the n-th particle. Afterwards, the leading soft factor and sub-leading soft operator naturally emerge.

[ { "created": "Sun, 19 Oct 2014 08:11:35 GMT", "version": "v1" }, { "created": "Sun, 2 Nov 2014 02:10:09 GMT", "version": "v2" }, { "created": "Thu, 19 Feb 2015 04:59:46 GMT", "version": "v3" } ]

2015-02-23

[ [ "Rao", "Junjie", "" ] ]

Inspired by the new soft theorem in gravity by Cachazo and Strominger, the soft theorem for color-ordered Yang-Mills amplitudes has also been identified by Casali. In this note, the same content of N=4 SYM using the Grassmannian formulation is studied. Explicitly, in the holomorphic soft limit, we reduce the n-particle amplitude in terms of Grassmannian contour integrations into the deformed (n-1)-particle amplitude by localizing k variables relevant to the n-th particle. Afterwards, the leading soft factor and sub-leading soft operator naturally emerge.

12.665749

11.635622

15.453893

10.826224

10.926654

12.1433

10.786815

11.117839

10.440312

13.222572

10.710248

10.843084

12.766737

11.606771

11.671729

11.674356

11.435461

11.747352

11.616654

12.271022

11.485338

1211.5839

Aaron Warren

Aaron R. Warren

The K-Theoretic Formulation of D-Brane Aharonov-Bohm Phases

14 pages, 2 figures

null

hep-th quant-ph

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

The topological calculation of Aharonov-Bohm phases associated with D-branes in the absence of a Neveu-Schwarz B-field is explored. The K-theoretic classification of Ramond-Ramond fields in Type II and Type I theories is used to produce formulae for the Aharonov-Bohm phase associated with a torsion flux. A topological construction shows that K-theoretic pairings to calculate such phases exist and are well-defined. An analytic perspective is then taken, obtaining a means for determining Aharonov-Bohm phases by way of the reduced eta-invariant. This perspective is used to calculate the phase for an experiment involving the $(-1)-8$ system in Type I theory, and compared with previous calculations performed using different methods.

[ { "created": "Mon, 26 Nov 2012 01:49:41 GMT", "version": "v1" } ]

2012-11-27

[ [ "Warren", "Aaron R.", "" ] ]

The topological calculation of Aharonov-Bohm phases associated with D-branes in the absence of a Neveu-Schwarz B-field is explored. The K-theoretic classification of Ramond-Ramond fields in Type II and Type I theories is used to produce formulae for the Aharonov-Bohm phase associated with a torsion flux. A topological construction shows that K-theoretic pairings to calculate such phases exist and are well-defined. An analytic perspective is then taken, obtaining a means for determining Aharonov-Bohm phases by way of the reduced eta-invariant. This perspective is used to calculate the phase for an experiment involving the $(-1)-8$ system in Type I theory, and compared with previous calculations performed using different methods.

10.262194

10.297858

11.210439

10.125631

9.89489

10.132204

10.951671

9.735195

10.441628

12.731342

9.988765

9.759561

10.059111

9.911366

9.994359

9.785085

9.7597

9.895476

10.121825

10.15772

9.764532

hep-th/0202111

Jose M. Figueroa-O'Farrill

Matthias Blau, Jos\'e Figueroa-O'Farrill and George Papadopoulos

Penrose limits, supergravity and brane dynamics

67 pages

Class.Quant.Grav.19:4753,2002

10.1088/0264-9381/19/18/310

EMPG-02-04

hep-th gr-qc math.DG

null

We investigate the Penrose limits of classical string and M-theory backgrounds. We prove that the number of (super)symmetries of a supergravity background never decreases in the limit. We classify all the possible Penrose limits of AdS x S spacetimes and of supergravity brane solutions. We also present the Penrose limits of various other solutions: intersecting branes, supersymmetric black holes and strings in diverse dimensions, and cosmological models. We explore the Penrose limit of an isometrically embedded spacetime and find a generalisation to spaces with more than one time. Finally, we show that the Penrose limit is a large tension limit for all branes including those with fields of Born--Infeld type.

[ { "created": "Mon, 18 Feb 2002 15:34:11 GMT", "version": "v1" }, { "created": "Mon, 18 Feb 2002 22:48:26 GMT", "version": "v2" } ]

2008-11-26

[ [ "Blau", "Matthias", "" ], [ "Figueroa-O'Farrill", "José", "" ], [ "Papadopoulos", "George", "" ] ]

We investigate the Penrose limits of classical string and M-theory backgrounds. We prove that the number of (super)symmetries of a supergravity background never decreases in the limit. We classify all the possible Penrose limits of AdS x S spacetimes and of supergravity brane solutions. We also present the Penrose limits of various other solutions: intersecting branes, supersymmetric black holes and strings in diverse dimensions, and cosmological models. We explore the Penrose limit of an isometrically embedded spacetime and find a generalisation to spaces with more than one time. Finally, we show that the Penrose limit is a large tension limit for all branes including those with fields of Born--Infeld type.

8.66049

9.234332

9.511356

9.117206

8.262621

8.376821

8.389114

8.586061

8.837132

10.717226

8.627174

8.57556

9.167582

8.526291

8.676737

8.781654

8.527346

8.495872

8.569568

8.598209

8.740201

2010.14297

Andrei Zotov

K. Atalikov, A. Zotov

Field theory generalizations of two-body Calogero-Moser models in the form of Landau-Lifshitz equations

18 pages, minor changes

J. Geom. Phys., 164 (2021) 104161

10.1016/j.geomphys.2021.104161

null

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

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

We give detailed description for continuous version of the classical IRF-Vertex relation, where on the IRF side we deal with the Calogero-Moser-Sutherland models. Our study is based on constructing modifications of the Higgs bundles of infinite rank over elliptic curve and its degenerations. In this way the previously predicted gauge equivalence between L-A pairs of the Landau-Lifshitz type equations and 1+1 field theory generalization of the Calogero-Moser-Sutherland models is described. In this paper the ${\rm sl}_2$ case is studied. Explicit changes of variables are obtained between the rational, trigonometric and elliptic models.

[ { "created": "Tue, 27 Oct 2020 13:56:42 GMT", "version": "v1" }, { "created": "Sun, 27 Dec 2020 16:56:29 GMT", "version": "v2" } ]

2021-03-02

[ [ "Atalikov", "K.", "" ], [ "Zotov", "A.", "" ] ]

We give detailed description for continuous version of the classical IRF-Vertex relation, where on the IRF side we deal with the Calogero-Moser-Sutherland models. Our study is based on constructing modifications of the Higgs bundles of infinite rank over elliptic curve and its degenerations. In this way the previously predicted gauge equivalence between L-A pairs of the Landau-Lifshitz type equations and 1+1 field theory generalization of the Calogero-Moser-Sutherland models is described. In this paper the ${\rm sl}_2$ case is studied. Explicit changes of variables are obtained between the rational, trigonometric and elliptic models.

12.758018

14.423365

16.958292

12.802823

14.808491

14.001627

13.241438

13.571929

13.881894

17.474041

12.009399

12.893374

14.296016

12.795359

13.383681

13.08237

13.229759

12.902055

11.974561

14.558933

12.225123

2205.10935

Daniel Kapec

Daniel Kapec, Y.T. Albert Law, Sruthi A. Narayanan

Soft Scalars and the Geometry of the Space of Celestial CFTs

21 pages

null

10.1103/PhysRevD.107.046024

null

hep-th

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

Known examples of the holographic dictionary in asymptotically Anti-de Sitter spacetimes equate moduli spaces of bulk vacua with conformal manifolds in the dual quantum field theory. We demonstrate that the same identification holds for gravity in asymptotically flat spacetimes in any dimension, in accord with expectations derived from the celestial conformal field theory (CCFT) formalism. Soft limits of moduli scalars described by the sigma model are universal, and relate to parallel transport of $S$-matrix observables over the moduli space of bulk vacua. The leading "soft moduli operator" is the shadow transform of a dimension $\Delta=d$ marginal operator $M(x)$. The universal form of the soft limit guarantees that $M(x)$ acts as a marginal deformation in the CCFT$_d$, and coherent states of the soft scalars correspond to finite deformations along the conformal manifold. This manifold typically has curvature, which is captured by the antisymmetric double-soft theorem and which reflects the Berry curvature in CCFT$_d$. We also compute the Mellin-transformed four-point function in the sigma model and compare to a formula of Kutasov for the curvature of the conformal manifold.

[ { "created": "Sun, 22 May 2022 21:37:33 GMT", "version": "v1" } ]

2023-03-15

[ [ "Kapec", "Daniel", "" ], [ "Law", "Y. T. Albert", "" ], [ "Narayanan", "Sruthi A.", "" ] ]

Known examples of the holographic dictionary in asymptotically Anti-de Sitter spacetimes equate moduli spaces of bulk vacua with conformal manifolds in the dual quantum field theory. We demonstrate that the same identification holds for gravity in asymptotically flat spacetimes in any dimension, in accord with expectations derived from the celestial conformal field theory (CCFT) formalism. Soft limits of moduli scalars described by the sigma model are universal, and relate to parallel transport of $S$-matrix observables over the moduli space of bulk vacua. The leading "soft moduli operator" is the shadow transform of a dimension $\Delta=d$ marginal operator $M(x)$. The universal form of the soft limit guarantees that $M(x)$ acts as a marginal deformation in the CCFT$_d$, and coherent states of the soft scalars correspond to finite deformations along the conformal manifold. This manifold typically has curvature, which is captured by the antisymmetric double-soft theorem and which reflects the Berry curvature in CCFT$_d$. We also compute the Mellin-transformed four-point function in the sigma model and compare to a formula of Kutasov for the curvature of the conformal manifold.

12.980722

11.568823

14.519953

11.636632

13.891115

12.254205

11.843284

11.805962

11.758401

16.454561

12.435139

11.984529

12.128775

11.763851

11.935695

12.09455

12.226545

12.181878

12.019342

12.82198

11.588618

1007.0236

Olaf Lechtenfeld

Olaf Lechtenfeld, Christoph N\"olle, Alexander D. Popov

Heterotic compactifications on nearly K\"ahler manifolds

1+16 pages

JHEP 1009:074,2010

10.1007/JHEP09(2010)074

null

hep-th math-ph math.MP

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

We consider compactifications of heterotic supergravity on anti-de Sitter space, with a six-dimensional nearly K"ahler manifold as the internal space. Completing the model proposed by Frey and Lippert with the particular choice of SU(3)/U(1)xU(1) for the internal manifold, we show that it satisfies not only the supersymmetry constraints but also the equations of motion with string corrections of order alpha'. Furthermore, we present a non-supersymmetric model. In both solutions we find confirmed a recent result of Ivanov on the connection used for anomaly cancellation. Interestingly, the volume of the internal space is fixed by the supersymmetry constraints and/or the equations of motion.

[ { "created": "Thu, 1 Jul 2010 19:32:05 GMT", "version": "v1" } ]

2014-11-21

[ [ "Lechtenfeld", "Olaf", "" ], [ "Nölle", "Christoph", "" ], [ "Popov", "Alexander D.", "" ] ]

We consider compactifications of heterotic supergravity on anti-de Sitter space, with a six-dimensional nearly K"ahler manifold as the internal space. Completing the model proposed by Frey and Lippert with the particular choice of SU(3)/U(1)xU(1) for the internal manifold, we show that it satisfies not only the supersymmetry constraints but also the equations of motion with string corrections of order alpha'. Furthermore, we present a non-supersymmetric model. In both solutions we find confirmed a recent result of Ivanov on the connection used for anomaly cancellation. Interestingly, the volume of the internal space is fixed by the supersymmetry constraints and/or the equations of motion.

9.562265

8.360253

9.762918

7.978923

8.69727

8.594245

8.678527

8.41613

8.613678

10.908711

8.883846

8.231716

9.069565

8.589558

8.541495

8.664896

8.201945

8.979928

8.242988

9.010605

8.22668

1508.01502

Cristopher David Gonz\'alez D\'iaz

Cristopher Gonz\'alez and Benjamin Koch

Improved Reissner-Nordstr\"om-(A)dS Black Hole in Asymptotic Safety

V1:23 pages, 9 figures. V2:28 pages, 12 figures. Incorporation of references in introduction section and consideration of another analysis in section 5, without changes in the conclusions. V3:28 pages, 12 figures. Some redaction corrections. Accepted in International Journal of Modern Physics A

null

10.1142/S0217751X16501414

null

hep-th

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

This paper studies the quantum modifications of the Reissner-Nordstr\"{o}m-(A)dS black hole within Quantum Einstein Gravity, coupled to an electromagnetic sector. Quantum effects are introduced on the level of the improvements of the classical solution, where the originally constant couplings ($G_0$, $\Lambda_0$, and $\alpha_0$) are promoted to scale dependent quantities ($G_k$, $\Lambda_k$, and $\alpha_k$). Those running couplings are calculated in the functional renormalization group approach. A crucial point of this, so called "improving solutions" procedure is the scale setting where the arbitrary scale $k$ acquires physical meaning due to a relation to the coordinate scale $r$. It is proposed to use such scale settings which are stable after iterative improvements. Using this method one finds that for those improved solutions, there is no stable remnant and due to the appearance of a new internal horizon, there is also no necessity to impose a minimal black hole mass for charged black holes, in order to avoid the the cosmic censorship hypothesis.

[ { "created": "Thu, 6 Aug 2015 19:27:02 GMT", "version": "v1" }, { "created": "Mon, 21 Mar 2016 16:07:28 GMT", "version": "v2" }, { "created": "Thu, 1 Sep 2016 22:08:36 GMT", "version": "v3" } ]

2016-09-05

[ [ "González", "Cristopher", "" ], [ "Koch", "Benjamin", "" ] ]

This paper studies the quantum modifications of the Reissner-Nordstr\"{o}m-(A)dS black hole within Quantum Einstein Gravity, coupled to an electromagnetic sector. Quantum effects are introduced on the level of the improvements of the classical solution, where the originally constant couplings ($G_0$, $\Lambda_0$, and $\alpha_0$) are promoted to scale dependent quantities ($G_k$, $\Lambda_k$, and $\alpha_k$). Those running couplings are calculated in the functional renormalization group approach. A crucial point of this, so called "improving solutions" procedure is the scale setting where the arbitrary scale $k$ acquires physical meaning due to a relation to the coordinate scale $r$. It is proposed to use such scale settings which are stable after iterative improvements. Using this method one finds that for those improved solutions, there is no stable remnant and due to the appearance of a new internal horizon, there is also no necessity to impose a minimal black hole mass for charged black holes, in order to avoid the the cosmic censorship hypothesis.

11.481476

11.621477

11.705603

11.187368

12.222202

10.821299

11.985464

11.310833

11.391298

12.400173

11.407457

11.318886

10.827884

10.670863

10.707147

11.322838

11.360635

10.943974

10.836866

10.874307

11.544646

1412.3337

Augusto Sagnotti Prof.

S. Ferrara, M. Porrati, A. Sagnotti, R. Stora, A. Yeranyan

Generalized Born--Infeld Actions and Projective Cubic Curves

17 pages, LaTeX, 1 eps figure. Comments added and misprints corrected. Final version to appear in Fortschritte der Physik - Progress of Physics

null

10.1002/prop.201400087

CERN-PH-TH/2014-250

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

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

We investigate $U(1)^{\,n}$ supersymmetric Born-Infeld Lagrangians with a second non-linearly realized supersymmetry. The resulting non-linear structure is more complex than the square root present in the standard Born-Infeld action, and nonetheless the quadratic constraints determining these models can be solved exactly in all cases containing three vector multiplets. The corresponding models are classified by cubic holomorphic prepotentials. Their symmetry structures are associated to projective cubic varieties.

[ { "created": "Wed, 10 Dec 2014 15:23:00 GMT", "version": "v1" }, { "created": "Wed, 31 Dec 2014 07:28:55 GMT", "version": "v2" } ]

2016-01-20

[ [ "Ferrara", "S.", "" ], [ "Porrati", "M.", "" ], [ "Sagnotti", "A.", "" ], [ "Stora", "R.", "" ], [ "Yeranyan", "A.", "" ] ]

We investigate $U(1)^{\,n}$ supersymmetric Born-Infeld Lagrangians with a second non-linearly realized supersymmetry. The resulting non-linear structure is more complex than the square root present in the standard Born-Infeld action, and nonetheless the quadratic constraints determining these models can be solved exactly in all cases containing three vector multiplets. The corresponding models are classified by cubic holomorphic prepotentials. Their symmetry structures are associated to projective cubic varieties.

15.602647

13.809571

19.142756

14.395722

14.37274

15.65696

15.318926

14.937286

13.683766

19.333235

12.860372

14.21311

17.447222

15.316077

15.251586

14.696421

14.459935

14.394817

15.263208

17.853167

13.787204