LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2204.10790

Wei-Can Syu

Wei-Can Syu, Da-Shin Lee, Chi-Yong Lin

Analogous Hawking radiation and quantum entanglement in two-component Bose-Einstein condensates: the gapped excitations

38 pages, 11 figures

Phys. Rev. D 106, 044016 (2022)

10.1103/PhysRevD.106.044016

null

hep-th gr-qc

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

The condensates of cold atoms at zero temperature in the tunable binary Bose-Einstein condensate system are studied with the Rabi transition between atomic hyperfine states where the system can be represented by a coupled two-field model of gapless excitations and gapped excitations. We set up the configuration of the supersonic and subsonic regimes with the acoustic horizon between them in the elongated two-component Bose-Einstein condensates, trying to mimic Hawking radiations, in particular due to the gapped excitations. The simplified step-like sound speed change is adopted for the subsonic-supersonic transition so that the model can be analytically treatable. The effective energy gap term in the dispersion relation of the gapped excitations introduces the threshold frequency $\omega_\text{min}$ in the subsonic regime, below which the propagating modes do not exist. Thus, the particle spectrum of the Hawking modes significantly deviates from that of the gapless cases near the threshold frequency due to the modified grey-body factor, which vanishes as the mode frequency is below $\omega_\text{min}$. The influence from the gapped excitations to the quantum entanglement of the Hawking mode and its partner of the gapless excitations is also studied according to the Peres-Horodecki-Simon (PHS) criterion. It is found that the presence of the gapped excitations will deteriorate the quantumness of the pair modes of the gapless excitations when the frequency of the pair modes in particular is around $\omega \sim \omega_\text{min}$. On top of that, when the coupling constant between the gapless and gapped excitations becomes large enough, the huge particle density of the gapped excitations in the small $\omega$ regime will significantly disentangle the pair modes of the gapless excitations. The detailed time-dependent PHS criterion will be discussed.

[ { "created": "Fri, 22 Apr 2022 16:07:26 GMT", "version": "v1" }, { "created": "Tue, 26 Apr 2022 09:44:00 GMT", "version": "v2" }, { "created": "Fri, 5 Aug 2022 20:30:26 GMT", "version": "v3" } ]

2022-08-09

[ [ "Syu", "Wei-Can", "" ], [ "Lee", "Da-Shin", "" ], [ "Lin", "Chi-Yong", "" ] ]

The condensates of cold atoms at zero temperature in the tunable binary Bose-Einstein condensate system are studied with the Rabi transition between atomic hyperfine states where the system can be represented by a coupled two-field model of gapless excitations and gapped excitations. We set up the configuration of the supersonic and subsonic regimes with the acoustic horizon between them in the elongated two-component Bose-Einstein condensates, trying to mimic Hawking radiations, in particular due to the gapped excitations. The simplified step-like sound speed change is adopted for the subsonic-supersonic transition so that the model can be analytically treatable. The effective energy gap term in the dispersion relation of the gapped excitations introduces the threshold frequency $\omega_\text{min}$ in the subsonic regime, below which the propagating modes do not exist. Thus, the particle spectrum of the Hawking modes significantly deviates from that of the gapless cases near the threshold frequency due to the modified grey-body factor, which vanishes as the mode frequency is below $\omega_\text{min}$. The influence from the gapped excitations to the quantum entanglement of the Hawking mode and its partner of the gapless excitations is also studied according to the Peres-Horodecki-Simon (PHS) criterion. It is found that the presence of the gapped excitations will deteriorate the quantumness of the pair modes of the gapless excitations when the frequency of the pair modes in particular is around $\omega \sim \omega_\text{min}$. On top of that, when the coupling constant between the gapless and gapped excitations becomes large enough, the huge particle density of the gapped excitations in the small $\omega$ regime will significantly disentangle the pair modes of the gapless excitations. The detailed time-dependent PHS criterion will be discussed.

8.364719

9.222317

8.377548

8.115652

8.553538

8.471232

8.964432

8.342483

8.53972

9.39612

8.422638

8.07829

8.023586

8.065437

8.106385

8.269319

8.295626

8.06607

8.140148

8.158288

8.250235

1906.01485

Kenichi Konishi

Stefano Bolognesi, Kenichi Konishi

Dynamics and symmetries in chiral $SU(N)$ gauge theories

41 pages, 1 figure

Phys. Rev. D 100, 114008 (2019)

10.1103/PhysRevD.100.114008

IFUP-TH 2019

hep-th hep-lat hep-ph

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

Dynamics and symmetry realization in various chiral gauge theories in four dimensions are investigated, generalizing a recent work by M. Shifman and the present authors, by relying on the standard 't Hooft anomaly matching conditions and on some other general ideas. These requirements are so strong that the dynamics of the systems are severely constrained. Color-flavor or color-flavor-flavor locking, dynamical Abelianization, and combinations of these, are powerful ideas which often leads to solutions of the anomaly matching conditions. Moreover, a conjecture is made on generation of a mass hierarchy associated with symmetry breaking in chiral gauge theories, which has no analogues in vector-like gauge theories such as QCD.

[ { "created": "Tue, 4 Jun 2019 14:47:36 GMT", "version": "v1" } ]

2019-12-11

[ [ "Bolognesi", "Stefano", "" ], [ "Konishi", "Kenichi", "" ] ]

Dynamics and symmetry realization in various chiral gauge theories in four dimensions are investigated, generalizing a recent work by M. Shifman and the present authors, by relying on the standard 't Hooft anomaly matching conditions and on some other general ideas. These requirements are so strong that the dynamics of the systems are severely constrained. Color-flavor or color-flavor-flavor locking, dynamical Abelianization, and combinations of these, are powerful ideas which often leads to solutions of the anomaly matching conditions. Moreover, a conjecture is made on generation of a mass hierarchy associated with symmetry breaking in chiral gauge theories, which has no analogues in vector-like gauge theories such as QCD.

12.960881

11.821126

13.458474

11.973031

11.737363

12.447724

12.705323

12.391387

11.967326

13.714115

12.125377

12.041816

12.909603

11.877827

11.939169

11.411027

11.455128

11.509343

11.700281

12.353735

11.810522

hep-th/9207049

Stephan Stieberger

J. Erler, D. Jungnickel, M. Spalinski and S. Stieberger

Higher Twisted Sector Couplings of $Z_N$ Orbifolds

32 pages

Nucl.Phys. B397 (1993) 379-416

10.1016/0550-3213(93)90348-S

null

hep-th

null

We derive the basic correlation functions of twist fields coming from arbitrary twisted sectors in symmetric $Z_N$ orbifold conformal field theories, keeping all the admissible marginal perturbations, in particular those corresponding to the antisymmetric tensor background field. This allows a thorough investigation of modular symmetries in this type of string compactification. Such a study is explicitly carried out for the group generated by duality transformations. Thus, apart from being of phenomenological use, our couplings are also interesting from the mathematical point of view as they represent automorphic functions for a large class of discrete groups.

[ { "created": "Tue, 14 Jul 1992 18:20:50 GMT", "version": "v1" } ]

2009-10-22

[ [ "Erler", "J.", "" ], [ "Jungnickel", "D.", "" ], [ "Spalinski", "M.", "" ], [ "Stieberger", "S.", "" ] ]

We derive the basic correlation functions of twist fields coming from arbitrary twisted sectors in symmetric $Z_N$ orbifold conformal field theories, keeping all the admissible marginal perturbations, in particular those corresponding to the antisymmetric tensor background field. This allows a thorough investigation of modular symmetries in this type of string compactification. Such a study is explicitly carried out for the group generated by duality transformations. Thus, apart from being of phenomenological use, our couplings are also interesting from the mathematical point of view as they represent automorphic functions for a large class of discrete groups.

16.433132

14.29637

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14.912837

14.128794

14.02356

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17.113785

14.902452

15.073926

14.951422

14.788633

14.775365

14.79762

16.83885

14.524759

1305.3924

Ofer Aharony

Ofer Aharony, Shlomo S. Razamat, Nathan Seiberg, and Brian Willett

3d dualities from 4d dualities

84 pages, 3 figures, harvmac. v2: added an appendix on the reduction of the 4d index to the 3d partition function, added references, minor corrections and changes

null

10.1007/JHEP07(2013)149

WIS/04/13-APR-DPPA

hep-th

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

Many examples of low-energy dualities have been found in supersymmetric gauge theories with four supercharges, both in four and in three space-time dimensions. In these dualities, two theories that are different at high energies have the same low-energy limit. In this paper we clarify the relation between the dualities in four and in three dimensions. We show that every four dimensional duality gives rise to a three dimensional duality between theories that are similar, but not identical, to the dimensional reductions of the four dimensional dual gauge theories to three dimensions. From these specific three dimensional dualities one can flow to many other low-energy dualities, including known three dimensional dualities and many new ones. We discuss in detail the case of three dimensional SU(N_c) supersymmetric QCD theories, showing how to derive new duals for these theories from the four dimensional duality.

[ { "created": "Thu, 16 May 2013 20:05:12 GMT", "version": "v1" }, { "created": "Fri, 31 May 2013 19:08:50 GMT", "version": "v2" } ]

2015-06-16

[ [ "Aharony", "Ofer", "" ], [ "Razamat", "Shlomo S.", "" ], [ "Seiberg", "Nathan", "" ], [ "Willett", "Brian", "" ] ]

Many examples of low-energy dualities have been found in supersymmetric gauge theories with four supercharges, both in four and in three space-time dimensions. In these dualities, two theories that are different at high energies have the same low-energy limit. In this paper we clarify the relation between the dualities in four and in three dimensions. We show that every four dimensional duality gives rise to a three dimensional duality between theories that are similar, but not identical, to the dimensional reductions of the four dimensional dual gauge theories to three dimensions. From these specific three dimensional dualities one can flow to many other low-energy dualities, including known three dimensional dualities and many new ones. We discuss in detail the case of three dimensional SU(N_c) supersymmetric QCD theories, showing how to derive new duals for these theories from the four dimensional duality.

5.729123

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5.298268

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5.650303

5.516065

5.454587

5.539873

5.505959

5.356842

5.537322

5.694312

5.413269

hep-th/0205100

Christopher Herzog

Christopher P. Herzog, Igor R. Klebanov and Peter Ouyang

D-Branes on the Conifold and N=1 Gauge/Gravity Dualities

Based on I.R.K.'s lectures at the Les Houches Summer School Session 76, ``Gravity, Gauge Theories, and Strings'', August 2001, 42 pages, v2: clarifications and references added

null

hep-th

null

We review extensions of the AdS/CFT correspondence to gauge/ gravity dualities with N=1 supersymmetry. In particular, we describe the gauge/gravity dualities that emerge from placing D3-branes at the apex of the conifold. We consider first the conformal case, with discussions of chiral primary operators and wrapped D-branes. Next, we break the conformal symmetry by adding a stack of partially wrapped D5-branes to the system, changing the gauge group and introducing a logarithmic renormalization group flow. In the gravity dual, the effect of these wrapped D5-branes is to turn on the flux of 3-form field strengths. The associated RR 2-form potential breaks the U(1) R-symmetry to $Z_{2M}$ and we study this phenomenon in detail. This extra flux also leads to deformation of the cone near the apex, which describes the chiral symmetry breaking and confinement in the dual gauge theory.

[ { "created": "Fri, 10 May 2002 16:41:48 GMT", "version": "v1" }, { "created": "Tue, 18 Jun 2002 23:07:09 GMT", "version": "v2" } ]

2007-05-23

[ [ "Herzog", "Christopher P.", "" ], [ "Klebanov", "Igor R.", "" ], [ "Ouyang", "Peter", "" ] ]

We review extensions of the AdS/CFT correspondence to gauge/ gravity dualities with N=1 supersymmetry. In particular, we describe the gauge/gravity dualities that emerge from placing D3-branes at the apex of the conifold. We consider first the conformal case, with discussions of chiral primary operators and wrapped D-branes. Next, we break the conformal symmetry by adding a stack of partially wrapped D5-branes to the system, changing the gauge group and introducing a logarithmic renormalization group flow. In the gravity dual, the effect of these wrapped D5-branes is to turn on the flux of 3-form field strengths. The associated RR 2-form potential breaks the U(1) R-symmetry to $Z_{2M}$ and we study this phenomenon in detail. This extra flux also leads to deformation of the cone near the apex, which describes the chiral symmetry breaking and confinement in the dual gauge theory.

6.534545

7.499434

7.934216

6.626892

7.309014

6.904607

7.005693

7.017797

6.782457

8.80329

6.580573

6.512193

6.790636

6.43786

6.49242

6.453921

6.685319

6.429222

6.290625

6.727923

6.528463

2207.00303

Damian van de Heisteeg

Asymptotic String Compactifications; Periods, flux potentials, and the swampland

PhD thesis, 282 pages

null

hep-th

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

In this thesis we have studied various applications of asymptotic Hodge theory in string compactifications. This mathematical framework captures how physical couplings of the resulting effective theories behave near field space boundaries where the internal Calabi-Yau manifold degenerates. Below we summarize the three parts in which this thesis is divided. Part I introduces the techniques from asymptotic Hodge theory we used throughout this thesis. We review the results of the nilpotent orbit theorem of Schmid and the multi-variable sl(2)-orbit theorem of Cattani, Kaplan and Schmid. This discussion is tailored to applications in string compactifications, explaining how to describe important physical couplings such as K\"ahler potentials and flux superpotentials near boundaries in moduli spaces. Part II discusses a geometrical application with the construction of general models for asymptotic periods. Taking the constraints imposed by asymptotic Hodge theory as consistency principles, we develop new methods for constructing these periods. We explicitly carry out our program for all possible one- and two-moduli boundaries. Part III discusses two applications of asymptotic Hodge theory in string compactifications. The first investigates bounds put by the Weak Gravity Conjecture in the setting of 4d $\mathcal{N}=2$ supergravity theories arising from Type IIB Calabi-Yau compactifications. The second application studies flux potentials in asymptotic regimes in complex structure moduli space, where we develop two schemes for moduli stabilization. The first scheme sets up an approximation procedure for finding flux vacua divided in three steps: the sl(2)-approximation, the nilpotent orbit approximation, and the fully corrected result. The second scheme constructs flux vacua with a small flux superpotential by using essential exponential corrections controlled by asymptotic Hodge theory.

[ { "created": "Fri, 1 Jul 2022 09:50:15 GMT", "version": "v1" } ]

2022-07-04

[ [ "van de Heisteeg", "Damian", "" ] ]

In this thesis we have studied various applications of asymptotic Hodge theory in string compactifications. This mathematical framework captures how physical couplings of the resulting effective theories behave near field space boundaries where the internal Calabi-Yau manifold degenerates. Below we summarize the three parts in which this thesis is divided. Part I introduces the techniques from asymptotic Hodge theory we used throughout this thesis. We review the results of the nilpotent orbit theorem of Schmid and the multi-variable sl(2)-orbit theorem of Cattani, Kaplan and Schmid. This discussion is tailored to applications in string compactifications, explaining how to describe important physical couplings such as K\"ahler potentials and flux superpotentials near boundaries in moduli spaces. Part II discusses a geometrical application with the construction of general models for asymptotic periods. Taking the constraints imposed by asymptotic Hodge theory as consistency principles, we develop new methods for constructing these periods. We explicitly carry out our program for all possible one- and two-moduli boundaries. Part III discusses two applications of asymptotic Hodge theory in string compactifications. The first investigates bounds put by the Weak Gravity Conjecture in the setting of 4d $\mathcal{N}=2$ supergravity theories arising from Type IIB Calabi-Yau compactifications. The second application studies flux potentials in asymptotic regimes in complex structure moduli space, where we develop two schemes for moduli stabilization. The first scheme sets up an approximation procedure for finding flux vacua divided in three steps: the sl(2)-approximation, the nilpotent orbit approximation, and the fully corrected result. The second scheme constructs flux vacua with a small flux superpotential by using essential exponential corrections controlled by asymptotic Hodge theory.

9.435722

8.801175

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9.840255

8.86648

9.48772

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8.801387

10.929407

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8.626319

8.463885

8.459815

8.799673

8.738602

9.22106

8.633124

1307.1974

Kluson Josef

J. Kluson

Hamiltonian Formalism of Bimetric Gravity In Vierbein Formulation

26 pages,v2:references added, v3:completely rewritten paper when the crucial error in the first version was identified so that opposite conclusion was reached

null

10.1140/epjc/s10052-014-2985-1

null

hep-th

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

This paper is devoted to the Hamiltonian analysis of bimetric gravity in vierbein formulation. We identify all constraints and determine their nature. We also show an existence of additional constraint so that the scalar mode can be eliminated.

[ { "created": "Mon, 8 Jul 2013 08:05:57 GMT", "version": "v1" }, { "created": "Fri, 12 Jul 2013 07:59:37 GMT", "version": "v2" }, { "created": "Mon, 26 May 2014 18:05:07 GMT", "version": "v3" } ]

2015-06-16

[ [ "Kluson", "J.", "" ] ]

This paper is devoted to the Hamiltonian analysis of bimetric gravity in vierbein formulation. We identify all constraints and determine their nature. We also show an existence of additional constraint so that the scalar mode can be eliminated.

14.015464

9.400045

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9.908873

10.121452

10.043808

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10.199747

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11.592888

11.085154

10.964234

11.220291

10.904299

11.14914

12.036729

11.476637

11.251512

hep-th/9308063

Ryusuke Endo

R. Endo

An Extension of Type I Gaugeon Formalism for Quantum Electrodynamics

13 pages, LaTeX, YAMAGATA-HEP-93-14

Prog.Theor.Phys. 90 (1993) 1121-1130

10.1143/ptp/90.5.1121

null

hep-th

null

By introducing two kinds of gaugeon fields, we extend Yokoyama's Type I gaugeon formalism for quantum electrodynamics. The theory admits a q-number gauge transformation by which we can shift the gauge parameter into arbitrary numerical value; whereas in the original theory we cannot change the sign of the parameter. The relation to the Type II theory is also discussed.

[ { "created": "Fri, 13 Aug 1993 07:59:47 GMT", "version": "v1" } ]

2017-02-01

[ [ "Endo", "R.", "" ] ]

By introducing two kinds of gaugeon fields, we extend Yokoyama's Type I gaugeon formalism for quantum electrodynamics. The theory admits a q-number gauge transformation by which we can shift the gauge parameter into arbitrary numerical value; whereas in the original theory we cannot change the sign of the parameter. The relation to the Type II theory is also discussed.

18.893293

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15.859458

15.694688

16.027287

17.369377

16.471399

2209.09031

Hassan ElSayed

Adel Awad and Hassan ElSayed

Thermodynamics of 5D Charged Rotating Black Holes: A Counterterms Treatment

null

10.1140/epjc/s10052-023-11335-y

null

hep-th gr-qc

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

We show that the calculation of the thermodynamic volume in the bulk theory is sensitive to conformal anomalies in the dual CFT, and present a new way of calculating it when the conformal anomalies do not vanish. This solves the issue where the use of the counterterms subtraction method appears to break the first law and Smarr's relation in extended phase-space. This is shown explicitly in the case of charged rotating black holes in five-dimensional minimal gauged supergravity (Chong et al. in Phys Rev Lett 95:161301, 2005), where we use the counterterms method to study the thermodynamics of the solution. Among the bulk quantities calculated using the counterterms method are the on-shell action, total mass, and angular momenta of the solution. All these quantities are consistent with previous calculations made using other methods. For the boundary CFT, we calculate the renormalized stress tensor, conformal anomaly, and Casimir energy. Using the Papadimitriou-Skenderis analysis (Papadimitriou and Skenderis in J. High Energy Phys. 08:004, 2005), we show that the mass calculated via the counterterms method satisfies the first law of black hole thermodynamics. To discuss extended thermodynamics, we extend the definition of the thermodynamic volume to cases with conformal anomalies using a procedure similar to that of Papadimitriou-Skenderis. We show that this volume correctly accounts for extra terms due to boundary metric variation.

[ { "created": "Mon, 19 Sep 2022 14:05:36 GMT", "version": "v1" }, { "created": "Tue, 18 Oct 2022 16:47:03 GMT", "version": "v2" }, { "created": "Mon, 27 Feb 2023 18:58:18 GMT", "version": "v3" }, { "created": "Mon, 17 Jul 2023 16:40:47 GMT", "version": "v4" } ]

2023-07-18

[ [ "Awad", "Adel", "" ], [ "ElSayed", "Hassan", "" ] ]

We show that the calculation of the thermodynamic volume in the bulk theory is sensitive to conformal anomalies in the dual CFT, and present a new way of calculating it when the conformal anomalies do not vanish. This solves the issue where the use of the counterterms subtraction method appears to break the first law and Smarr's relation in extended phase-space. This is shown explicitly in the case of charged rotating black holes in five-dimensional minimal gauged supergravity (Chong et al. in Phys Rev Lett 95:161301, 2005), where we use the counterterms method to study the thermodynamics of the solution. Among the bulk quantities calculated using the counterterms method are the on-shell action, total mass, and angular momenta of the solution. All these quantities are consistent with previous calculations made using other methods. For the boundary CFT, we calculate the renormalized stress tensor, conformal anomaly, and Casimir energy. Using the Papadimitriou-Skenderis analysis (Papadimitriou and Skenderis in J. High Energy Phys. 08:004, 2005), we show that the mass calculated via the counterterms method satisfies the first law of black hole thermodynamics. To discuss extended thermodynamics, we extend the definition of the thermodynamic volume to cases with conformal anomalies using a procedure similar to that of Papadimitriou-Skenderis. We show that this volume correctly accounts for extra terms due to boundary metric variation.

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6.473065

6.83041

6.394298

hep-th/0302156

Anton Galajinsky

Anton V. Galajinsky

Comments on N=4 Superconformal Extension of the Calogero Model

6 pages, LaTex, no figures, concluding remarks revised, one reference and acknowledgements added

Mod.Phys.Lett. A18 (2003) 1493-1498

10.1142/S0217732303011241

null

hep-th

null

Recently it was conjectured by Gibbons and Townsend that the large n limit of an N=4 superconformal extension of the n-particle Calogero model might provide a microscopic description of the extreme Reissner-Nordstrom black hole near the horizon. In this paper a possibility to construct an SU(1,1|2) invariant extension of the Calogero model is considered. We treat in detail the two-particle case and comment on some peculiarities intrinsic to n>2 generalizations.

[ { "created": "Wed, 19 Feb 2003 19:05:23 GMT", "version": "v1" }, { "created": "Thu, 6 Mar 2003 12:47:22 GMT", "version": "v2" } ]

2009-11-10

[ [ "Galajinsky", "Anton V.", "" ] ]

Recently it was conjectured by Gibbons and Townsend that the large n limit of an N=4 superconformal extension of the n-particle Calogero model might provide a microscopic description of the extreme Reissner-Nordstrom black hole near the horizon. In this paper a possibility to construct an SU(1,1|2) invariant extension of the Calogero model is considered. We treat in detail the two-particle case and comment on some peculiarities intrinsic to n>2 generalizations.

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6.479167

7.920903

6.898477

0907.1732

Yang Zhou

Sang-Jin Sin, Shuo Yang, Yang Zhou

Comments on Baryon Melting in Quark Gluon Plasma with Gluon Condensation

3 figures, 12 pages

JHEP 0911:001,2009

10.1088/1126-6708/2009/11/001

null

hep-th hep-ph

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

We consider a black hole solution with a non-trivial dilaton from IIB super gravity which is expected to describe a strongly coupled hot gauge plasma with non-vanishing gluon condensation present. We construct a rotating and moving baryon to probe the screening and phases of the plasma. Melting of the baryons in hot plasma in this background had been studied previously, however, we show that baryons melt much lower temperature than has been suggested previously.

[ { "created": "Fri, 10 Jul 2009 06:00:55 GMT", "version": "v1" }, { "created": "Wed, 4 Nov 2009 23:38:01 GMT", "version": "v2" } ]

2009-11-05

[ [ "Sin", "Sang-Jin", "" ], [ "Yang", "Shuo", "" ], [ "Zhou", "Yang", "" ] ]

We consider a black hole solution with a non-trivial dilaton from IIB super gravity which is expected to describe a strongly coupled hot gauge plasma with non-vanishing gluon condensation present. We construct a rotating and moving baryon to probe the screening and phases of the plasma. Melting of the baryons in hot plasma in this background had been studied previously, however, we show that baryons melt much lower temperature than has been suggested previously.

17.768248

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15.854419

16.205656

16.204563

17.548689

16.038393

1806.03418

Salvador Robles-Perez

Salvador Robles-P\'erez

Effects of inter-universal entanglement on the state of the early universe

9 pages, 2 figures, prepared for the proceedings of the Conference Cosmology on Small Scales 2018, to be hold in Prague the 26th-29th of Sept. 2018 (http://css2018.math.cas.cz)

null

hep-th gr-qc

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

The creation of universes in entangled pairs with opposite values of the momenta conjugated to the configuration variables of the minisuperspace would be favoured in quantum cosmology by the conservation of the total momentum, in a parallel way as particles are created in pairs with opposite values of their momenta in a quantum field theory. Then, the matter fields that propagate in the two universes may become entangled too, the result of which is the appearance of a quasi thermal state that would produce a specific and distinguishable pattern in the spectrum of fluctuations of the matter fields in the early universe.

[ { "created": "Sat, 9 Jun 2018 06:14:39 GMT", "version": "v1" } ]

2018-06-12

[ [ "Robles-Pérez", "Salvador", "" ] ]

The creation of universes in entangled pairs with opposite values of the momenta conjugated to the configuration variables of the minisuperspace would be favoured in quantum cosmology by the conservation of the total momentum, in a parallel way as particles are created in pairs with opposite values of their momenta in a quantum field theory. Then, the matter fields that propagate in the two universes may become entangled too, the result of which is the appearance of a quasi thermal state that would produce a specific and distinguishable pattern in the spectrum of fluctuations of the matter fields in the early universe.

11.555549

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11.35969

12.103766

9.9393

11.021864

11.241875

11.579783

11.016355

10.131245

10.765349

10.801543

11.051578

10.917042

10.259907

10.631886

10.844305

10.62688

2406.09171

Davide Gaiotto

Davide Gaiotto, J\"org Teschner

Schur Quantization and Complex Chern-Simons theory

114 pages, 2 figures. v2: removed a paragraph from the Introduction

null

hep-th math.QA

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

Any four-dimensional Supersymmetric Quantum Field Theory with eight supercharges can be associated to a certain complex symplectic manifold called the "K-theoretic Coulomb branch" of the theory. The collection of K-theoretic Coulomb branches include many complex phase spaces of great interest, including in particular the "character varieties" of complex flat connections on a Riemann surface. The SQFT definition endows K-theoretic Coulomb branches with a variety of canonical structures, including a deformation quantization. In this paper we introduce a canonical "Schur" quantization of K-theoretic Coulomb branches. It is defined by a variant of the Gelfand-Naimark-Segal construction, applied to protected Schur correlation functions of half-BPS line defects. Schur quantization produces an actual quantization of the complex phase space. As a concrete application, we apply this construction to character varieties in order to quantize Chern-Simons gauge theory with a complex gauge group. Other applications include the definition of a new quantum deformation of the Lorentz group, and the solution of certain spectral problems via dualities.

[ { "created": "Thu, 13 Jun 2024 14:31:41 GMT", "version": "v1" }, { "created": "Fri, 14 Jun 2024 21:40:55 GMT", "version": "v2" } ]

2024-06-18

[ [ "Gaiotto", "Davide", "" ], [ "Teschner", "Jörg", "" ] ]

Any four-dimensional Supersymmetric Quantum Field Theory with eight supercharges can be associated to a certain complex symplectic manifold called the "K-theoretic Coulomb branch" of the theory. The collection of K-theoretic Coulomb branches include many complex phase spaces of great interest, including in particular the "character varieties" of complex flat connections on a Riemann surface. The SQFT definition endows K-theoretic Coulomb branches with a variety of canonical structures, including a deformation quantization. In this paper we introduce a canonical "Schur" quantization of K-theoretic Coulomb branches. It is defined by a variant of the Gelfand-Naimark-Segal construction, applied to protected Schur correlation functions of half-BPS line defects. Schur quantization produces an actual quantization of the complex phase space. As a concrete application, we apply this construction to character varieties in order to quantize Chern-Simons gauge theory with a complex gauge group. Other applications include the definition of a new quantum deformation of the Lorentz group, and the solution of certain spectral problems via dualities.

8.561041

7.813844

9.232965

7.502584

8.559761

8.409525

7.983148

8.001783

7.494654

10.518716

7.789479

7.516263

8.195182

7.540922

7.867084

7.612323

7.843585

7.650717

7.608742

8.430316

7.511788

1209.0561

Yosuke Imamura

Supersymmetric theories on squashed five-sphere

20 pages, no figure, LaTeX; v3: minor corrections, accepted for publication in PTEP

null

10.1093/ptep/pts052

TIT/HEP-620

hep-th

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

We construct supersymmetric theories on the SU(3)xU(1) symmetric squashed five-sphere with 2, 4, 6, and 12 supercharges. We first determine the Killing equation by dimensional reduction from 6d, and use Noether procedure to construct actions. The supersymmetric Yang-Mills action is straightforwardly obtained from the supersymmetric Chern-Simons action by using a supersymmetry preserving constant vector multiplet.

[ { "created": "Tue, 4 Sep 2012 08:17:13 GMT", "version": "v1" }, { "created": "Thu, 20 Sep 2012 10:23:19 GMT", "version": "v2" }, { "created": "Thu, 25 Oct 2012 08:26:22 GMT", "version": "v3" } ]

2016-06-21

[ [ "Imamura", "Yosuke", "" ] ]

We construct supersymmetric theories on the SU(3)xU(1) symmetric squashed five-sphere with 2, 4, 6, and 12 supercharges. We first determine the Killing equation by dimensional reduction from 6d, and use Noether procedure to construct actions. The supersymmetric Yang-Mills action is straightforwardly obtained from the supersymmetric Chern-Simons action by using a supersymmetry preserving constant vector multiplet.

10.344867

11.193124

12.506931

8.614051

10.152001

9.416144

10.557869

10.347854

9.953087

13.089121

9.485905

9.359279

11.309771

9.385496

9.593019

9.943578

9.875256

9.569194

9.52931

10.75599

9.803186

hep-th/0309164

Camillo Imbimbo

Stefano Giusto and Camillo Imbimbo

Physical States at the Tachyonic Vacuum of Open String Field Theory

43 pages, 16 eps figures, LaTeX

Nucl.Phys. B677 (2004) 52-86

10.1016/j.nuclphysb.2003.10.037

null

hep-th

null

We illustrate a method for computing the number of physical states of open string theory at the stable tachyonic vacuum in level truncation approximation. The method is based on the analysis of the gauge-fixed open string field theory quadratic action that includes Fadeev-Popov ghost string fields. Computations up to level 9 in the scalar sector are consistent with Sen's conjecture about the absence of physical open string states at the tachyonic vacuum. We also derive a long exact cohomology sequence that relates relative and absolute cohomologies of the BRS operator at the non-perturbative vacuum. We use this exact result in conjunction with our numerical findings to conclude that the higher ghost number non-perturbative BRS cohomologies are non-empty.

[ { "created": "Tue, 16 Sep 2003 15:34:23 GMT", "version": "v1" } ]

2015-06-26

[ [ "Giusto", "Stefano", "" ], [ "Imbimbo", "Camillo", "" ] ]

We illustrate a method for computing the number of physical states of open string theory at the stable tachyonic vacuum in level truncation approximation. The method is based on the analysis of the gauge-fixed open string field theory quadratic action that includes Fadeev-Popov ghost string fields. Computations up to level 9 in the scalar sector are consistent with Sen's conjecture about the absence of physical open string states at the tachyonic vacuum. We also derive a long exact cohomology sequence that relates relative and absolute cohomologies of the BRS operator at the non-perturbative vacuum. We use this exact result in conjunction with our numerical findings to conclude that the higher ghost number non-perturbative BRS cohomologies are non-empty.

9.157828

8.427735

9.890719

8.462996

8.819572

8.097894

8.57984

8.366879

8.043467

10.45006

8.125694

8.247546

9.091746

8.747151

8.62527

8.814837

8.868408

8.624875

8.762974

8.965446

8.380469

hep-th/9606062

B. Harms

Roberto Casadio (INFN, Sezione di Bologna, Italy), Benjamin Harms, (University of Alabama)

Space-time singularities and the axion in the Poincare coset models ISO(2,1)/H

LaTeX, 6 pages plus 2 figures in a separate postscript file, a LaTeX error fixed

Phys.Lett. B389 (1996) 243-247

10.1016/S0370-2693(96)01253-1

UAHEP965

hep-th

null

By promoting an invariant subgroup $H$ of $ISO(2,1)$ to a gauge symmetry of a WZWN action, we obtain the description of a bosonic string moving either in a curved 4-dimensional space--time with an axion field and curvature singularities or in 3-dimensional Minkowski space--time.

[ { "created": "Tue, 11 Jun 1996 23:12:41 GMT", "version": "v1" }, { "created": "Wed, 12 Jun 1996 15:47:51 GMT", "version": "v2" } ]

2009-10-30

[ [ "Casadio", "Roberto", "", "INFN, Sezione di Bologna, Italy" ], [ "Harms", "Benjamin", "" ] ]

By promoting an invariant subgroup $H$ of $ISO(2,1)$ to a gauge symmetry of a WZWN action, we obtain the description of a bosonic string moving either in a curved 4-dimensional space--time with an axion field and curvature singularities or in 3-dimensional Minkowski space--time.

14.806966

9.737401

13.083426

9.824642

9.698399

9.704602

10.104421

8.927791

9.955235

11.362979

10.02514

10.084007

10.101154

9.990029

9.926423

10.175467

9.521827

9.793055

9.518622

10.466714

10.085883

1608.00041

I-Sheng Yang

Ben Freivogel, Roberto Gobbetti, Enrico Pajer, I-Sheng Yang

Inflation on a Slippery Slope

24 pages, 3 figures

null

hep-th

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

We study inflation in a random multifield potential, using techniques developed by Marsh et al. The potential is a function of a large number of fields, and we choose parameters so that inflation only occurs in regions where the potential is accidentally flat. Using an improved estimate for the dynamics of eigenvalue repulsion, we are able to describe the steepening of the potential as inflation progresses. We provide suggestive arguments, but not a proof, that the resulting scalar power spectrum generically disagrees with observations. We also point out two problematic aspects of the model: there is no well-defined probability distribution for the gradient of the potential, and the evolution of the potential over small distances in field space is unphysical.

[ { "created": "Fri, 29 Jul 2016 22:18:50 GMT", "version": "v1" } ]

2016-08-02

[ [ "Freivogel", "Ben", "" ], [ "Gobbetti", "Roberto", "" ], [ "Pajer", "Enrico", "" ], [ "Yang", "I-Sheng", "" ] ]

We study inflation in a random multifield potential, using techniques developed by Marsh et al. The potential is a function of a large number of fields, and we choose parameters so that inflation only occurs in regions where the potential is accidentally flat. Using an improved estimate for the dynamics of eigenvalue repulsion, we are able to describe the steepening of the potential as inflation progresses. We provide suggestive arguments, but not a proof, that the resulting scalar power spectrum generically disagrees with observations. We also point out two problematic aspects of the model: there is no well-defined probability distribution for the gradient of the potential, and the evolution of the potential over small distances in field space is unphysical.

10.103226

11.34795

10.202303

9.803715

10.648376

11.067669

9.923635

9.760726

10.286141

10.604835

9.965638

9.820176

10.202496

9.653468

9.410249

9.87259

9.448109

9.921222

9.780771

10.222047

9.609524

hep-th/9808166

Nakwoo Kim

More on Membranes in Matrix Theory

7 pages, LaTeX; expanded to treat matrix membrane solutions with electric flux, equivalently fundamental strings; to appear in Phys. Rev. D

Phys. Rev. D 59, 067901 (1999)

10.1103/PhysRevD.59.067901

SNUTP-98-098

hep-th

null

We study noncompact and static membrane solutions in Matrix theory. Demanding axial symmetry on a membrane embedded in three spatial dimensions, we obtain a wormhole solution whose shape is the same with the catenoidal solution of Born-Infeld theory. We also discuss another interesting class of solutions, membranes embedded holomorphically in four spatial dimensions, which are 1/4 BPS.

[ { "created": "Thu, 27 Aug 1998 11:39:11 GMT", "version": "v1" }, { "created": "Tue, 1 Dec 1998 11:02:48 GMT", "version": "v2" } ]

2016-08-25

[ [ "Kim", "Nakwoo", "" ] ]

We study noncompact and static membrane solutions in Matrix theory. Demanding axial symmetry on a membrane embedded in three spatial dimensions, we obtain a wormhole solution whose shape is the same with the catenoidal solution of Born-Infeld theory. We also discuss another interesting class of solutions, membranes embedded holomorphically in four spatial dimensions, which are 1/4 BPS.

16.622765

13.278616

18.440557

12.615

12.374143

14.850091

14.129137

12.64006

14.005904

14.736612

13.861224

13.736623

15.444364

14.150238

13.845384

13.382513

13.839473

13.616777

14.17967

16.594397

13.485168

2302.06811

Michael McGuigan

Infinity Wars: Three Types of Singularities in Non-supersymmetric Canonical Gravity and String Theory

null

hep-th gr-qc

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

We discuss three separate types of infinities that occur in non-supersymmetric canonical gravity and string theory. We consider UV perturbative singularities in non-supersymmetric gravity coupled to matter and how these are related to loop corrections to beta functions for non-supersymmetric strings. Next we consider classical cosmological singularities that occur in these equations and discuss a specific singular cosmology of Dudas and Mourad for non-supersymmetric string theory. Finally we discuss the infinities that occur in quantum cosmology associated with topology change and discuss how non-supersymmetric string quantum cosmology can be used to address them.

[ { "created": "Tue, 14 Feb 2023 03:46:10 GMT", "version": "v1" }, { "created": "Wed, 22 Feb 2023 21:46:56 GMT", "version": "v2" } ]

2023-02-24

[ [ "McGuigan", "Michael", "" ] ]

We discuss three separate types of infinities that occur in non-supersymmetric canonical gravity and string theory. We consider UV perturbative singularities in non-supersymmetric gravity coupled to matter and how these are related to loop corrections to beta functions for non-supersymmetric strings. Next we consider classical cosmological singularities that occur in these equations and discuss a specific singular cosmology of Dudas and Mourad for non-supersymmetric string theory. Finally we discuss the infinities that occur in quantum cosmology associated with topology change and discuss how non-supersymmetric string quantum cosmology can be used to address them.

11.028188

11.604889

11.481157

9.977935

10.582541

10.684391

10.786592

10.337502

10.073216

11.942788

10.422891

10.488219

10.348604

10.209823

10.107238

10.538753

10.084895

10.058127

10.511408

10.646688

10.275809

hep-th/0007129

Stuart Dowker

J.S.Dowker

The N U D problem

9 pages, JyTeX. References and comments added. Calculation corrected

null

MUTP/2000/3

hep-th

null

The hybrid spectral problem where the field satisfies Dirichlet conditions (D) on part of the boundary of the relevant domain and Neumann (N) on the remainder is discussed in simple terms. A conjecture for the C_1 coefficient is presented and the conformal determinant on a 2-disc, where the D and N regions are semi-circles, is derived. Comments on higher coefficients are made.

[ { "created": "Mon, 17 Jul 2000 10:07:40 GMT", "version": "v1" }, { "created": "Tue, 22 Aug 2000 10:52:32 GMT", "version": "v2" } ]

2007-05-23

[ [ "Dowker", "J. S.", "" ] ]

The hybrid spectral problem where the field satisfies Dirichlet conditions (D) on part of the boundary of the relevant domain and Neumann (N) on the remainder is discussed in simple terms. A conjecture for the C_1 coefficient is presented and the conformal determinant on a 2-disc, where the D and N regions are semi-circles, is derived. Comments on higher coefficients are made.

16.988096

12.697771

17.355879

12.93124

14.586311

12.70195

14.513141

12.96023

12.824297

17.49608

13.492105

13.423473

14.865903

13.531381

14.161145

14.703826

14.063916

12.974627

13.830402

14.687499

14.100415

1206.2539

Kamal Lochan Panigrahi

Sagar Biswas, Kamal L. Panigrahi

Spiky Strings on I-brane

17 pages, major restructuring of text, added a reference

null

10.1007/JHEP08(2012)044

null

hep-th

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

We study rigidly rotating strings in the near horizon geometry of the 1+1 dimensional intersection of two orthogonal stacks of NS5-branes, the so called I-brane background. We solve the equations of motion of the fundamental string action in the presence of two form NS-NS fluxes that the I-brane background supports and write down general form of conserved quantities. We further find out two limiting cases corresponding to giant magnon and single spike like strings in various parameter space of solutions.

[ { "created": "Tue, 12 Jun 2012 14:16:41 GMT", "version": "v1" }, { "created": "Wed, 13 Jun 2012 17:11:43 GMT", "version": "v2" } ]

2015-06-05

[ [ "Biswas", "Sagar", "" ], [ "Panigrahi", "Kamal L.", "" ] ]

We study rigidly rotating strings in the near horizon geometry of the 1+1 dimensional intersection of two orthogonal stacks of NS5-branes, the so called I-brane background. We solve the equations of motion of the fundamental string action in the presence of two form NS-NS fluxes that the I-brane background supports and write down general form of conserved quantities. We further find out two limiting cases corresponding to giant magnon and single spike like strings in various parameter space of solutions.

11.92229

7.327023

13.153941

8.702966

10.265598

8.524246

8.204922

7.910434

8.719087

14.60011

8.567837

9.725376

11.331844

9.970209

10.016781

9.584976

9.427178

10.002649

9.927532

11.634691

10.209801

2202.10740

Nobuyoshi Ohta

Taichiro Kugo, Ryuichi Nakayama, and Nobuyoshi Ohta

Covariant BRST Quantization of Unimodular Gravity II -- Formulation with a vector antighost --

23 pages, v2: minor corrections, a ref. added. arXiv admin note: text overlap with arXiv:2202.03626

null

10.1103/PhysRevD.105.106006

YITP-22-16

hep-th gr-qc

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

In our previous paper, we have presented a covariant BRST quantization of unimodular gravity which may account for the smallness of the cosmological constant, and have shown that the physical degrees of freedom in the theory are the same as general relativity. The formulation has been given by using rank-2 antisymmetric tensor fields for both ghosts and antighosts. Here we give an alternative formulation using a vector field for the antighost but keeping the same structure for the ghosts. This gives a significantly simpler covariant quantization with less ghosts and no tripole modes in the ghost sector. We show that this also gives only two physical transverse modes as in general relativity.

[ { "created": "Tue, 22 Feb 2022 09:00:01 GMT", "version": "v1" }, { "created": "Wed, 27 Apr 2022 08:20:14 GMT", "version": "v2" } ]

2022-05-25

[ [ "Kugo", "Taichiro", "" ], [ "Nakayama", "Ryuichi", "" ], [ "Ohta", "Nobuyoshi", "" ] ]

In our previous paper, we have presented a covariant BRST quantization of unimodular gravity which may account for the smallness of the cosmological constant, and have shown that the physical degrees of freedom in the theory are the same as general relativity. The formulation has been given by using rank-2 antisymmetric tensor fields for both ghosts and antighosts. Here we give an alternative formulation using a vector field for the antighost but keeping the same structure for the ghosts. This gives a significantly simpler covariant quantization with less ghosts and no tripole modes in the ghost sector. We show that this also gives only two physical transverse modes as in general relativity.

8.672338

7.924723

7.88399

7.147785

7.551102

8.430913

7.816993

7.348432

7.189177

8.397807

7.832574

7.513927

7.692221

7.80036

7.633015

7.73312

7.790942

7.423592

7.618602

8.204724

7.836321

1508.00587

Pablo Bueno

Pablo Bueno and Robert C. Myers

Universal entanglement for higher dimensional cones

22 pages, 3 figures, 2 tables; v3: minor modifications to match published version, references added

JHEP 1512 (2015) 168

10.1007/JHEP12(2015)168

null

hep-th cond-mat.str-el gr-qc

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

The entanglement entropy of a generic $d$-dimensional conformal field theory receives a regulator independent contribution when the entangling region contains a (hyper)conical singularity of opening angle $\Omega$, codified in a function $a^{(d)}(\Omega)$. In arXiv:1505.04804, we proposed that for three-dimensional conformal field theories, the coefficient $\sigma$ characterizing the smooth surface limit of such contribution ($\Omega\rightarrow \pi$) equals the stress tensor two-point function charge $C_{ T}$, up to a universal constant. In this paper, we prove this relation for general three-dimensional holographic theories, and extend the result to general dimensions. In particular, we show that a generalized coefficient $\sigma^{ (d)}$ can be defined for (hyper)conical entangling regions in the almost smooth surface limit, and that this coefficient is universally related to $C_{ T}$ for general holographic theories, providing a general formula for the ratio $\sigma^{ (d)}/C_{ T}$ in arbitrary dimensions. We conjecture that the latter ratio is universal for general CFTs. Further, based on our recent results in arXiv:1507.06997, we propose an extension of this relation to general R\'enyi entropies, which we show passes several consistency checks in $d=4$ and $d=6$.

[ { "created": "Mon, 3 Aug 2015 20:16:42 GMT", "version": "v1" }, { "created": "Mon, 10 Aug 2015 18:28:34 GMT", "version": "v2" }, { "created": "Mon, 4 Jan 2016 10:39:31 GMT", "version": "v3" } ]

2016-01-27

[ [ "Bueno", "Pablo", "" ], [ "Myers", "Robert C.", "" ] ]

The entanglement entropy of a generic $d$-dimensional conformal field theory receives a regulator independent contribution when the entangling region contains a (hyper)conical singularity of opening angle $\Omega$, codified in a function $a^{(d)}(\Omega)$. In arXiv:1505.04804, we proposed that for three-dimensional conformal field theories, the coefficient $\sigma$ characterizing the smooth surface limit of such contribution ($\Omega\rightarrow \pi$) equals the stress tensor two-point function charge $C_{ T}$, up to a universal constant. In this paper, we prove this relation for general three-dimensional holographic theories, and extend the result to general dimensions. In particular, we show that a generalized coefficient $\sigma^{ (d)}$ can be defined for (hyper)conical entangling regions in the almost smooth surface limit, and that this coefficient is universally related to $C_{ T}$ for general holographic theories, providing a general formula for the ratio $\sigma^{ (d)}/C_{ T}$ in arbitrary dimensions. We conjecture that the latter ratio is universal for general CFTs. Further, based on our recent results in arXiv:1507.06997, we propose an extension of this relation to general R\'enyi entropies, which we show passes several consistency checks in $d=4$ and $d=6$.

5.967586

5.979095

6.932562

6.41265

6.648936

6.323843

6.301741

6.011982

5.957727

7.017704

5.904477

5.862392

6.27651

5.823973

6.12982

5.956722

5.959627

6.091428

6.116608

6.423815

5.805039

1410.4765

Mohammed M. Khalil

Ahmed Farag Ali, Mir Faizal, Mohammed M. Khalil

Absence of Black Holes at LHC due to Gravity's Rainbow

16 pages, 5 figures, to appear in Phys. Lett. B

Phys.Lett. B743 (2015) 295

10.1016/j.physletb.2015.02.065

null

hep-th gr-qc

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

In this paper, we investigate the effect of Planckian deformation of quantum gravity on the production of black holes at colliders using the framework of gravity's rainbow. We demonstrate that a black hole remnant exists for Schwarzschild black holes in higher dimensions using gravity's rainbow. The mass of this remnant is found to be greater than the energy scale at which experiments were performed at the LHC. We propose this as a possible explanation for the absence of black holes at the LHC. Furthermore, we demonstrate that it is possible for black holes in six (and higher) dimensions to be produced at energy scales that will be accessible in the near future.

[ { "created": "Wed, 15 Oct 2014 14:38:28 GMT", "version": "v1" }, { "created": "Fri, 27 Feb 2015 18:46:52 GMT", "version": "v2" } ]

2015-03-10

[ [ "Ali", "Ahmed Farag", "" ], [ "Faizal", "Mir", "" ], [ "Khalil", "Mohammed M.", "" ] ]

In this paper, we investigate the effect of Planckian deformation of quantum gravity on the production of black holes at colliders using the framework of gravity's rainbow. We demonstrate that a black hole remnant exists for Schwarzschild black holes in higher dimensions using gravity's rainbow. The mass of this remnant is found to be greater than the energy scale at which experiments were performed at the LHC. We propose this as a possible explanation for the absence of black holes at the LHC. Furthermore, we demonstrate that it is possible for black holes in six (and higher) dimensions to be produced at energy scales that will be accessible in the near future.

6.750651

7.554496

6.211912

6.099656

7.521778

7.265699

7.287677

7.271716

6.231202

6.840269

6.691603

6.613991

6.797734

6.264979

6.532887

6.574902

6.647064

6.457602

6.440078

6.459991

6.727002

2402.08724

Alessio Fontanarossa

Federico Faedo, Alessio Fontanarossa, Dario Martelli

Branes wrapped on quadrilaterals

50 pages, 3 figures

null

hep-th math-ph math.MP

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

We construct new families of supersymmetric AdS$_2\times\mathbb{M}_4$ solutions of $D=6$ gauged supergravity and AdS$_3\times\mathbb{M}_4$ solutions of $D=7$ gauged supergravity, where $\mathbb{M}_4$ are four-dimensional toric orbifolds with four fixed points. These are presented in a unified fashion, that highlights the common underlying geometry of the two families. The $D=6$ solutions uplift to massive type IIA and describe the near-horizon limit of D4-branes wrapped on $\mathbb{M}_4$, while the $D=7$ solutions uplift to $D=11$ supergravity and describe the near-horizon limit of M5-branes wrapped on $\mathbb{M}_4$. We reproduce the entropy and gravitational central charge of the two families by extremizing a function constructed gluing the orbifold gravitational blocks proposed in arXiv:2210.16128.

[ { "created": "Tue, 13 Feb 2024 19:00:07 GMT", "version": "v1" } ]

2024-02-15

[ [ "Faedo", "Federico", "" ], [ "Fontanarossa", "Alessio", "" ], [ "Martelli", "Dario", "" ] ]

We construct new families of supersymmetric AdS$_2\times\mathbb{M}_4$ solutions of $D=6$ gauged supergravity and AdS$_3\times\mathbb{M}_4$ solutions of $D=7$ gauged supergravity, where $\mathbb{M}_4$ are four-dimensional toric orbifolds with four fixed points. These are presented in a unified fashion, that highlights the common underlying geometry of the two families. The $D=6$ solutions uplift to massive type IIA and describe the near-horizon limit of D4-branes wrapped on $\mathbb{M}_4$, while the $D=7$ solutions uplift to $D=11$ supergravity and describe the near-horizon limit of M5-branes wrapped on $\mathbb{M}_4$. We reproduce the entropy and gravitational central charge of the two families by extremizing a function constructed gluing the orbifold gravitational blocks proposed in arXiv:2210.16128.

4.657811

4.157171

5.136878

4.080063

4.326085

4.179893

3.796711

4.038098

4.098562

5.521693

4.2061

4.305315

4.783364

4.298809

4.389753

4.305953

4.395927

4.337722

4.243968

4.782409

4.353396

2402.18475

Andrei Belitsky

A.V. Belitsky, L.V. Bork, J.M. Grumski-Flores, V.A. Smirnov

Three-leg form factor on Coulomb branch

24 pages, 4 figures, multiple ancillary files

null

hep-th hep-ph

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

We study the form factor of the lowest component of the stress-tensor multiplet away from the origin of the moduli space in the spontaneously broken, aka Coulomb, phase of the maximally supersymmetric Yang-Mills theory for decay into three massive W-bosons. The calculations are done at two-loop order by deriving and solving canonical differential equations in the asymptotical limit of nearly vanishing W-masses. We confirm our previous findings that infrared physics of `off-shell observables' is governed by the octagon anomalous dimension rather than the cusp. In addition, the form factor in question possesses a nontrivial remainder function, which was found to be identical to the massless case, upon a proper subtraction of infrared logarithms (and finite terms). However, the iterative structure of the object is more intricate and is not simply related to the previous orders in coupling as opposed to amplitudes/form factors at the origin of the moduli space.

[ { "created": "Wed, 28 Feb 2024 16:54:46 GMT", "version": "v1" } ]

2024-02-29

[ [ "Belitsky", "A. V.", "" ], [ "Bork", "L. V.", "" ], [ "Grumski-Flores", "J. M.", "" ], [ "Smirnov", "V. A.", "" ] ]

We study the form factor of the lowest component of the stress-tensor multiplet away from the origin of the moduli space in the spontaneously broken, aka Coulomb, phase of the maximally supersymmetric Yang-Mills theory for decay into three massive W-bosons. The calculations are done at two-loop order by deriving and solving canonical differential equations in the asymptotical limit of nearly vanishing W-masses. We confirm our previous findings that infrared physics of `off-shell observables' is governed by the octagon anomalous dimension rather than the cusp. In addition, the form factor in question possesses a nontrivial remainder function, which was found to be identical to the massless case, upon a proper subtraction of infrared logarithms (and finite terms). However, the iterative structure of the object is more intricate and is not simply related to the previous orders in coupling as opposed to amplitudes/form factors at the origin of the moduli space.

14.793663

13.368608

17.238827

14.147822

15.209312

14.620122

14.112973

13.889714

13.649

18.090927

14.012765

13.879026

15.273492

13.695344

14.445353

14.746264

14.7376

14.479105

14.730598

15.082327

13.995242

2006.06312

Jan Gutowski

J. B. Gutowski and W. A. Sabra

Neutral Signature Gauged Supergravity Solutions

20 pages, latex

null

10.1007/JHEP02(2021)030

DMUS-MP-20/04

hep-th

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

We classify all supersymmetric solutions of minimal D=4 gauged supergravity with (2,2) signature and a positive cosmological constant which admit exactly one Killing spinor. This classification produces a geometric structure which is more general than that found for previous classifications of N=2 supersymmetric solutions of this theory. We illustrate how the N=2 solutions which consist of a fibration over a 3-dimensional Lorentzian Gauduchon-Tod base space can be written in terms of this more generic geometric structure.

[ { "created": "Thu, 11 Jun 2020 10:25:36 GMT", "version": "v1" } ]

2021-02-24

[ [ "Gutowski", "J. B.", "" ], [ "Sabra", "W. A.", "" ] ]

We classify all supersymmetric solutions of minimal D=4 gauged supergravity with (2,2) signature and a positive cosmological constant which admit exactly one Killing spinor. This classification produces a geometric structure which is more general than that found for previous classifications of N=2 supersymmetric solutions of this theory. We illustrate how the N=2 solutions which consist of a fibration over a 3-dimensional Lorentzian Gauduchon-Tod base space can be written in terms of this more generic geometric structure.

7.984973

6.38931

8.569259

6.961567

7.436409

7.162963

7.74429

6.390232

6.797625

8.616748

7.026753

7.443651

8.257995

7.374668

7.235649

7.773698

7.542644

6.936917

7.411981

8.334025

7.228687

hep-th/9905108

Boris Zupnik

B.M. Zupnik

Partial spontaneous breakdown of 3-dimensional N=2 supersymmetry

Latex file, 16 pages, with small corrections

Theor.Math.Phys. 123 (2000) 463-477; Teor.Mat.Fiz. 123 (2000) 57-74

10.1007/BF02551052

null

hep-th

null

The superfield models with the partial spontaneous breaking of the global D=3, N=2 supersymmetry are discussed. The abelian gauge model describes low-energy interactions of the real scalar field with the 3D vector and fermion fields. We introduce the new Goldstone-Maxwell representation of the 3D gauge superfield and show that the partial spontaneous breaking N=2 to N=1 is possible for the non-minimal self-interaction of this modified gauge superfield including the linear Fayet-Iliopoulos term. The dual description of the partial breaking in the model of the self- interacting Goldstone chiral superfield is also considered. These models have the constant vacuum solutions and describe, respectively, the interactions of the N=1 Goldstone multiplets of the D2-brane or supermembrane with the additional massive multiplets.

[ { "created": "Fri, 14 May 1999 14:15:53 GMT", "version": "v1" }, { "created": "Wed, 9 Jun 1999 10:49:18 GMT", "version": "v2" } ]

2014-11-18

[ [ "Zupnik", "B. M.", "" ] ]

The superfield models with the partial spontaneous breaking of the global D=3, N=2 supersymmetry are discussed. The abelian gauge model describes low-energy interactions of the real scalar field with the 3D vector and fermion fields. We introduce the new Goldstone-Maxwell representation of the 3D gauge superfield and show that the partial spontaneous breaking N=2 to N=1 is possible for the non-minimal self-interaction of this modified gauge superfield including the linear Fayet-Iliopoulos term. The dual description of the partial breaking in the model of the self- interacting Goldstone chiral superfield is also considered. These models have the constant vacuum solutions and describe, respectively, the interactions of the N=1 Goldstone multiplets of the D2-brane or supermembrane with the additional massive multiplets.

10.925693

8.722656

11.563743

9.244565

8.569963

9.494543

9.025786

8.734484

8.952457

13.143963

8.459989

9.238571

10.791487

9.442591

9.559978

9.276639

9.381116

9.172115

9.225996

10.664978

9.478209

hep-th/0406078

Satoshi Yamaguchi

Satoshi Yamaguchi, Shing-Tung Yau (Harvard University)

Topological String Partition Functions as Polynomials

22 pages, 6 figures. v2:typos corrected

JHEP 0407 (2004) 047

10.1088/1126-6708/2004/07/047

null

hep-th math.AG

null

We investigate the structure of the higher genus topological string amplitudes on the quintic hypersurface. It is shown that the partition functions of the higher genus than one can be expressed as polynomials of five generators. We also compute the explicit polynomial forms of the partition functions for genus 2, 3, and 4. Moreover, some coefficients are written down for all genus.

[ { "created": "Wed, 9 Jun 2004 18:50:14 GMT", "version": "v1" }, { "created": "Mon, 5 Jul 2004 17:03:21 GMT", "version": "v2" } ]

2009-11-10

[ [ "Yamaguchi", "Satoshi", "", "Harvard University" ], [ "Yau", "Shing-Tung", "", "Harvard University" ] ]

We investigate the structure of the higher genus topological string amplitudes on the quintic hypersurface. It is shown that the partition functions of the higher genus than one can be expressed as polynomials of five generators. We also compute the explicit polynomial forms of the partition functions for genus 2, 3, and 4. Moreover, some coefficients are written down for all genus.

7.499156

7.10673

7.194642

6.440247

6.892337

7.018839

6.466244

6.701472

6.593693

7.923475

6.997112

7.054628

7.441101

6.89207

6.689687

6.70505

6.830373

6.948552

6.901259

7.06407

6.854593

hep-th/0607066

Gerald V. Dunne

Gerald V. Dunne and Klaus Kirsten

Functional determinants for radial operators

21 pages, uses axodraw.sty

J.Phys.A39:11915-11928,2006

10.1088/0305-4470/39/38/017

null

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

null

We derive simple new expressions, in various dimensions, for the functional determinant of a radially separable partial differential operator, thereby generalizing the one-dimensional result of Gel'fand and Yaglom to higher dimensions. We use the zeta function formalism, and the results agree with what one would obtain using the angular momentum cutoff method based on radial WKB. The final expression is numerically equal to an alternative expression derived in a Feynman diagrammatic approach, but is considerably simpler.

[ { "created": "Tue, 11 Jul 2006 08:55:17 GMT", "version": "v1" } ]

2008-11-26

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

We derive simple new expressions, in various dimensions, for the functional determinant of a radially separable partial differential operator, thereby generalizing the one-dimensional result of Gel'fand and Yaglom to higher dimensions. We use the zeta function formalism, and the results agree with what one would obtain using the angular momentum cutoff method based on radial WKB. The final expression is numerically equal to an alternative expression derived in a Feynman diagrammatic approach, but is considerably simpler.

11.618366

11.862704

11.835988

10.960274

11.734268

10.225813

10.494107

11.414909

10.516378

12.325777

10.000086

10.109918

11.3545

10.73337

11.061093

10.992214

10.899284

11.158636

11.02322

11.446097

10.537526

0711.3860

Marco Frasca

K\"allen-Lehman Representation and the Gluon Propagator

4 pages, no figure. Numerical comparison with Aguilar and Natale results (hep-ph/0408254) is given showing exceptionally good agreement

null

hep-th

null

We exploit the Kallen-Lehman representation of the two-point Green function to prove that the gluon propagator cannot go to zero in the infrared limit. We are able to derive also the functional form of it. This means that current results on the lattice can be used to derive the scalar glueball spectrum to be compared both with experiments and different aimed lattice computations.

[ { "created": "Sat, 24 Nov 2007 20:10:49 GMT", "version": "v1" }, { "created": "Tue, 27 Nov 2007 19:06:47 GMT", "version": "v2" }, { "created": "Sun, 2 Dec 2007 18:18:41 GMT", "version": "v3" }, { "created": "Tue, 15 Jan 2008 09:48:03 GMT", "version": "v4" } ]

2008-01-15

[ [ "Frasca", "Marco", "" ] ]

We exploit the Kallen-Lehman representation of the two-point Green function to prove that the gluon propagator cannot go to zero in the infrared limit. We are able to derive also the functional form of it. This means that current results on the lattice can be used to derive the scalar glueball spectrum to be compared both with experiments and different aimed lattice computations.

14.998616

14.855932

14.764174

13.673547

12.885578

15.446321

15.040787

14.417063

13.932061

15.171679

14.580109

14.566954

13.436326

13.605515

13.444641

14.699014

13.503426

14.90167

13.738457

13.227699

13.336287

0910.2110

Mingxing Luo

Hui Luo, Mingxing Luo and Sibo Zheng

Constrained Superfields and Standard Realization of Nonlinear Supersymmetry

8+1 pages, Latex, expanded discussions on scalar and vector fields

JHEP 1001:043,2010

10.1007/JHEP01(2010)043

null

hep-th hep-ph

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

A constrained superfield formalism has been proposed recently to analyze the low energy physics related to Goldstinos. We prove that this formalism can be reformulated in the language of standard realization of nonlinear supersymmetry. New relations have been uncovered in the standard realization of nonlinear supersymmetry.

[ { "created": "Mon, 12 Oct 2009 09:12:46 GMT", "version": "v1" }, { "created": "Thu, 29 Oct 2009 08:40:56 GMT", "version": "v2" }, { "created": "Wed, 9 Dec 2009 07:28:07 GMT", "version": "v3" } ]

2010-01-22

[ [ "Luo", "Hui", "" ], [ "Luo", "Mingxing", "" ], [ "Zheng", "Sibo", "" ] ]

A constrained superfield formalism has been proposed recently to analyze the low energy physics related to Goldstinos. We prove that this formalism can be reformulated in the language of standard realization of nonlinear supersymmetry. New relations have been uncovered in the standard realization of nonlinear supersymmetry.

13.186001

9.433921

10.742779

9.837708

9.89493

9.130838

10.638762

11.046177

10.125669

11.584064

10.691303

10.489752

10.759521

9.968682

10.202765

10.646105

10.067189

10.426691

9.954909

10.857613

10.758883

hep-th/9311104

Jean-Bernard Zuber

J.-B. Zuber

N=2 Superconformal Theories and their Integrable Deformations

(11 pages)

null

hep-th

null

After a short review of the algebraic setting of N=2 superconformal field theories, their chiral ring and their perturbations, I present some recent results on curious relations between the integrability of their perturbations and algebraic properties of their deformed chiral ring. (Lecture given at Hang-zhou, China, Sept 1993)

[ { "created": "Thu, 18 Nov 1993 14:14:07 GMT", "version": "v1" } ]

2007-05-23

[ [ "Zuber", "J. -B.", "" ] ]

After a short review of the algebraic setting of N=2 superconformal field theories, their chiral ring and their perturbations, I present some recent results on curious relations between the integrability of their perturbations and algebraic properties of their deformed chiral ring. (Lecture given at Hang-zhou, China, Sept 1993)

12.756802

9.240719

10.511989

8.451828

10.141028

8.266788

8.897757

9.729536

9.26603

10.854449

9.059916

8.582066

9.761801

8.627223

9.098444

8.801692

9.148629

8.896234

8.943417

9.851067

9.238135

hep-th/9203058

Jacques Distler

J. Distler, M. Doyle

World-Sheet Supersymmetry Without Contact Terms

14pp., 2 figures (included)

Phys.Lett. B287 (1992) 73-81

10.1016/0370-2693(92)91879-E

null

hep-th

null

Green and Seiberg showed that, in simple treatments of fermionic string theory, it is necessary to introduce contact interactions when vertex operators collide. Otherwise, certain superconformal Ward identities would be violated. In this note, we show how these contact terms arise naturally when proper account is taken of the superconformal geometry involved when punctures collide. More precisely, we show that there is no contact term at all! Rather, corrections arise to the ``na\"\i ve" formula when the boundary of moduli space is described correctly.

[ { "created": "Fri, 20 Mar 1992 22:32:03 GMT", "version": "v1" } ]

2009-10-22

[ [ "Distler", "J.", "" ], [ "Doyle", "M.", "" ] ]

Green and Seiberg showed that, in simple treatments of fermionic string theory, it is necessary to introduce contact interactions when vertex operators collide. Otherwise, certain superconformal Ward identities would be violated. In this note, we show how these contact terms arise naturally when proper account is taken of the superconformal geometry involved when punctures collide. More precisely, we show that there is no contact term at all! Rather, corrections arise to the ``na\"\i ve" formula when the boundary of moduli space is described correctly.

14.656555

15.759407

15.848149

14.100667

15.611715

16.79031

15.524786

14.361114

13.791109

18.964195

14.515353

13.763321

13.746927

13.340682

13.513703

13.859357

13.289521

13.398885

13.031475

13.126101

13.992797

hep-th/0603005

Mikhail V. Ioffe

M. V. Ioffe, S. Kuru, J. Negro and L .M. Nieto

SUSY approach to Pauli Hamiltonians with an axial symmetry

18 pages, 3 figures

J.Phys.A39:6987-7001,2006

10.1088/0305-4470/39/22/013

null

hep-th cond-mat.other quant-ph

null

A two-dimensional Pauli Hamiltonian describing the interaction of a neutral spin-1/2 particle with a magnetic field having axial and second order symmetries, is considered. After separation of variables, the one-dimensional matrix Hamiltonian is analyzed from the point of view of supersymmetric quantum mechanics. Attention is paid to the discrete symmetries of the Hamiltonian and also to the Hamiltonian hierarchies generated by intertwining operators. The spectrum is studied by means of the associated matrix shape-invariance. The relation between the intertwining operators and the second order symmetries is established and the full set of ladder operators that complete the dynamical algebra is constructed.

[ { "created": "Wed, 1 Mar 2006 10:19:21 GMT", "version": "v1" } ]

2008-11-26

[ [ "Ioffe", "M. V.", "" ], [ "Kuru", "S.", "" ], [ "Negro", "J.", "" ], [ "Nieto", "L . M.", "" ] ]

A two-dimensional Pauli Hamiltonian describing the interaction of a neutral spin-1/2 particle with a magnetic field having axial and second order symmetries, is considered. After separation of variables, the one-dimensional matrix Hamiltonian is analyzed from the point of view of supersymmetric quantum mechanics. Attention is paid to the discrete symmetries of the Hamiltonian and also to the Hamiltonian hierarchies generated by intertwining operators. The spectrum is studied by means of the associated matrix shape-invariance. The relation between the intertwining operators and the second order symmetries is established and the full set of ladder operators that complete the dynamical algebra is constructed.

8.105504

7.047234

8.976499

7.576399

8.305972

7.484711

7.418613

7.477992

7.462542

8.822186

7.462543

7.28111

7.488206

7.562912

7.287292

7.194151

7.165194

7.296986

7.267902

7.631539

7.134151

1403.6781

Xian Gao

Derivative interactions for a spin-2 field at cubic order

18 pages, no figure; v2: Eq.(63) and comments added, published version

Phys. Rev. D 90, 064024 (2014)

10.1103/PhysRevD.90.064024

null

hep-th gr-qc

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

Lorentz invariant derivative interactions for a single spin-2 field are investigated, up to the cubic order. We start from the most general Lorentz invariant terms involving two spacetime derivatives, which are polynomials in the spin-2 field as well as its first derivatives. Using a perturbative Arnowitt-Deser-Misner analysis, we determined the parameters such that the corresponding Hamiltonian possesses a Lagrange multiplier, which would signify there are at most 5 degrees of freedom that are propagating. The resulting derivative terms are linear combinations of terms coming from the expansion of the Einstein-Hilbert Lagrangian around a Minkowski background, as well as the cubic "pseudolinear derivative term" identified in Hinterbichler [J. High Energy Phys. 10 (\textbf{2013}) 102]. We also derived the compatible potential terms, which are linear combinations of the expansions of the first two de Rham-Gabadadze-Tolley mass terms in unitary gauge.

[ { "created": "Wed, 26 Mar 2014 18:14:36 GMT", "version": "v1" }, { "created": "Tue, 9 Sep 2014 15:27:52 GMT", "version": "v2" } ]

2014-09-17

[ [ "Gao", "Xian", "" ] ]

Lorentz invariant derivative interactions for a single spin-2 field are investigated, up to the cubic order. We start from the most general Lorentz invariant terms involving two spacetime derivatives, which are polynomials in the spin-2 field as well as its first derivatives. Using a perturbative Arnowitt-Deser-Misner analysis, we determined the parameters such that the corresponding Hamiltonian possesses a Lagrange multiplier, which would signify there are at most 5 degrees of freedom that are propagating. The resulting derivative terms are linear combinations of terms coming from the expansion of the Einstein-Hilbert Lagrangian around a Minkowski background, as well as the cubic "pseudolinear derivative term" identified in Hinterbichler [J. High Energy Phys. 10 (\textbf{2013}) 102]. We also derived the compatible potential terms, which are linear combinations of the expansions of the first two de Rham-Gabadadze-Tolley mass terms in unitary gauge.

9.331248

9.931239

10.563035

8.77556

10.126968

9.730597

9.753016

9.181044

8.734342

11.134464

8.988991

8.761128

9.071187

8.80514

8.857247

8.70785

8.902596

8.768345

8.748142

9.116578

8.714972

2202.00679

Guglielmo Grimaldi

Guglielmo Grimaldi, Juan Hernandez and Robert C. Myers

Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane

27 + 19 pages, 9 figures; v2: published version, added references

JHEP 03 (2022) 136

10.1007/JHEP03(2022)136

BRX-TH-6696

hep-th gr-qc

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

We study two-dimensional eternal black holes with non-zero mass, where each asymptotic boundary is in contact with a CFT on a circle, following the doubly holographic braneworld models constructed in [arXiv:2006.04851, arXiv:2010.00018, arXiv:2010.16398]. We compute the Page curve of the black hole (or the bath CFTs), which amounts to finding different geodesics in the bulk BTZ geometry with a Randall-Sundrum brane falling into the black hole. We also explore the possibility of including an intrinsic JT gravity action on the brane. As expected, the generalized entropy rises linearly at early times. However, there is a transition to a late-time phase in which the entropy remains constant. The value of the late-time entropy depends on the size of the thermal baths. For a small size, it corresponds to the thermal entropy of the baths, while for large size, it corresponds to twice the horizon entropy of the black hole. The critical size and the Page time are proportional to ratio of the central charges of the conformal defect and the bath CFT.

[ { "created": "Tue, 1 Feb 2022 19:00:00 GMT", "version": "v1" }, { "created": "Mon, 7 Mar 2022 23:33:02 GMT", "version": "v2" } ]

2022-03-23

[ [ "Grimaldi", "Guglielmo", "" ], [ "Hernandez", "Juan", "" ], [ "Myers", "Robert C.", "" ] ]

We study two-dimensional eternal black holes with non-zero mass, where each asymptotic boundary is in contact with a CFT on a circle, following the doubly holographic braneworld models constructed in [arXiv:2006.04851, arXiv:2010.00018, arXiv:2010.16398]. We compute the Page curve of the black hole (or the bath CFTs), which amounts to finding different geodesics in the bulk BTZ geometry with a Randall-Sundrum brane falling into the black hole. We also explore the possibility of including an intrinsic JT gravity action on the brane. As expected, the generalized entropy rises linearly at early times. However, there is a transition to a late-time phase in which the entropy remains constant. The value of the late-time entropy depends on the size of the thermal baths. For a small size, it corresponds to the thermal entropy of the baths, while for large size, it corresponds to twice the horizon entropy of the black hole. The critical size and the Page time are proportional to ratio of the central charges of the conformal defect and the bath CFT.

9.829454

8.558466

10.093828

8.56218

8.507202

9.051159

8.959692

8.392492

8.420823

12.207589

8.653275

8.448671

9.436457

8.602633

8.477044

8.738716

8.510391

8.45057

8.482147

9.389805

8.641943

hep-th/0309203

Emanuele Berti

Emanuele Berti, Marco Cavaglia, Leonardo Gualtieri

Gravitational energy loss in high energy particle collisions: ultrarelativistic plunge into a multidimensional black hole

18 pages, 4 figures. Minor changes to match version accepted by PRD

Phys.Rev.D69:124011,2004

10.1103/PhysRevD.69.124011

null

hep-th gr-qc hep-ph

null

We investigate the gravitational energy emission of an ultrarelativistic particle radially falling into a D-dimensional black hole. We numerically integrate the equations describing black hole gravitational perturbations and obtain energy spectra, total energy and angular distribution of the emitted gravitational radiation. The black hole quasinormal modes for scalar, vector, and tensor perturbations are computed in the WKB approximation. We discuss our results in the context of black hole production at the TeV scale.

[ { "created": "Sat, 20 Sep 2003 13:20:23 GMT", "version": "v1" }, { "created": "Thu, 25 Mar 2004 09:06:26 GMT", "version": "v2" } ]

2008-11-26

[ [ "Berti", "Emanuele", "" ], [ "Cavaglia", "Marco", "" ], [ "Gualtieri", "Leonardo", "" ] ]

We investigate the gravitational energy emission of an ultrarelativistic particle radially falling into a D-dimensional black hole. We numerically integrate the equations describing black hole gravitational perturbations and obtain energy spectra, total energy and angular distribution of the emitted gravitational radiation. The black hole quasinormal modes for scalar, vector, and tensor perturbations are computed in the WKB approximation. We discuss our results in the context of black hole production at the TeV scale.

7.261632

7.504045

6.354794

6.334984

6.891637

6.437248

6.775149

5.779922

7.075695

6.523848

6.823785

6.936532

6.668307

6.823348

6.661558

6.561139

6.821393

6.257594

6.756839

6.867473

6.623849

hep-th/0601189

Wang Mian

Mian Wang

The Dark Energy in Scalar-tensor Cosmology

12pages. 1 ps figure. Submitted to Phys. Rev. Lett

null

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

null

Recent observations confirm that our universe is flat and consists of a dark energy component with negative pressure. This dark energy is responsible for the recent cosmic acceleration as well as determines the feature of future evolution of the universe. In this paper, we discuss the dark energy of the universe in the framework of scalar-tensor cosmology. In the very early universe, the gravitational scalar field $\phi$ plays the roll of the inflaton field and drives the universe to expand exponentially. In this period the field $\phi$ acts as a cosmological constant and dominates the energy budget, the equation of state (EoS) is $w=-1$. The universe exits from inflation gracefully and with no reheating. Afterwards, the field $\phi$ appears as a cold dark matter and continues to dominate the energy budget, the universe expands according to 2/3 power law, the EoS is $w=0$. Eventually, by the epoch of $z\sim O(1)$, the field $\phi$ contributes a significant component of dark energy with negative pressure and accellerates the late universe. In the future the universe will expand acceleratedly according to $a(t)\sim t^{1.31}$.

[ { "created": "Wed, 25 Jan 2006 12:17:33 GMT", "version": "v1" }, { "created": "Fri, 27 Jan 2006 02:09:45 GMT", "version": "v2" } ]

2007-05-23

[ [ "Wang", "Mian", "" ] ]

Recent observations confirm that our universe is flat and consists of a dark energy component with negative pressure. This dark energy is responsible for the recent cosmic acceleration as well as determines the feature of future evolution of the universe. In this paper, we discuss the dark energy of the universe in the framework of scalar-tensor cosmology. In the very early universe, the gravitational scalar field $\phi$ plays the roll of the inflaton field and drives the universe to expand exponentially. In this period the field $\phi$ acts as a cosmological constant and dominates the energy budget, the equation of state (EoS) is $w=-1$. The universe exits from inflation gracefully and with no reheating. Afterwards, the field $\phi$ appears as a cold dark matter and continues to dominate the energy budget, the universe expands according to 2/3 power law, the EoS is $w=0$. Eventually, by the epoch of $z\sim O(1)$, the field $\phi$ contributes a significant component of dark energy with negative pressure and accellerates the late universe. In the future the universe will expand acceleratedly according to $a(t)\sim t^{1.31}$.

6.149078

6.31594

5.957236

6.129106

6.313

5.950522

5.92176

5.840757

6.078012

6.269799

5.93858

5.865523

5.849978

5.825768

5.948512

5.918554

5.980279

5.907623

6.017795

5.809906

5.956051

1806.05574

Dmitry Ageev

Dmitry S. Ageev, Irina Ya. Aref'eva

When things stop falling, chaos is suppressed

v1: 7 pages, 2 figures; v2: formula 3.4 is corrected; v3: discussion is enlarged; v4: new chapter, v5: published version

JHEP,(2019) 2019: 100

10.1007/JHEP01(2019)100

null

hep-th cond-mat.str-el gr-qc quant-ph

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

This note is devoted to the investigation of Susskind's proposal(arXiv:1802.01198) concerning the correspondence between the operator growth in chaotic theories and the radial momenta of the particle falling in the AdS black hole. We study this proposal and consider the simple example of an operator with the global charge described by the charged particle falling to the Reissner-Nordstrom-AdS black hole. Different charges of the particle lead to qualitatively different behavior of the particle momenta and consequently change of the operator size behavior. This holographic result is supported by different examples of chaotic models at a finite chemical potential where the suppression of chaos has been observed.

[ { "created": "Thu, 14 Jun 2018 14:27:56 GMT", "version": "v1" }, { "created": "Mon, 18 Jun 2018 11:00:05 GMT", "version": "v2" }, { "created": "Sat, 18 Aug 2018 22:05:47 GMT", "version": "v3" }, { "created": "Wed, 5 Dec 2018 15:38:42 GMT", "version": "v4" }, { "created": "Fri, 18 Jan 2019 07:57:28 GMT", "version": "v5" } ]

2019-01-21

[ [ "Ageev", "Dmitry S.", "" ], [ "Aref'eva", "Irina Ya.", "" ] ]

This note is devoted to the investigation of Susskind's proposal(arXiv:1802.01198) concerning the correspondence between the operator growth in chaotic theories and the radial momenta of the particle falling in the AdS black hole. We study this proposal and consider the simple example of an operator with the global charge described by the charged particle falling to the Reissner-Nordstrom-AdS black hole. Different charges of the particle lead to qualitatively different behavior of the particle momenta and consequently change of the operator size behavior. This holographic result is supported by different examples of chaotic models at a finite chemical potential where the suppression of chaos has been observed.

15.388382

13.775116

15.826249

12.95292

14.936289

14.630816

14.105394

13.434067

13.865317

16.199162

12.56746

13.741606

14.604605

14.073569

14.646058

14.074406

14.097184

13.857917

14.286835

14.2491

14.019024

1111.1198

Fabricio Marques

Fabricio Marques, Osvaldo Negrini and Adilson Jose da Silva

A new simple class of superpotentials in SUSY Quantum Mechanics

18 pages

null

10.1088/1751-8113/45/11/115307

null

hep-th

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

In this work we introduce the class of quantum mechanics superpotentials $W(x)=g\epsilon(x) x^{2n}$ and study in details the cases $n=0$ and 1. The $n=0$ superpotential is shown to lead to the known problem of two supersymmetrically related Dirac delta potentials (well and barrier). The $n=1$ case result in the potentials $V_{\pm}(x)=g^{2}x^{4}\pm2g|x|$. For $V_{-}$ we present the exact ground state solution and study the excited states by a variational technic. Starting from the ground state of $V_{-}$ and using logarithmic perturbation theory we study the ground states of $V_{+}$ and also of $V(x)=g^2 x^4$ and compare the result got by this new way with other results for this state in the literature.

[ { "created": "Fri, 4 Nov 2011 17:52:21 GMT", "version": "v1" }, { "created": "Wed, 22 Feb 2012 22:06:19 GMT", "version": "v2" } ]

2015-06-03

[ [ "Marques", "Fabricio", "" ], [ "Negrini", "Osvaldo", "" ], [ "da Silva", "Adilson Jose", "" ] ]

In this work we introduce the class of quantum mechanics superpotentials $W(x)=g\epsilon(x) x^{2n}$ and study in details the cases $n=0$ and 1. The $n=0$ superpotential is shown to lead to the known problem of two supersymmetrically related Dirac delta potentials (well and barrier). The $n=1$ case result in the potentials $V_{\pm}(x)=g^{2}x^{4}\pm2g|x|$. For $V_{-}$ we present the exact ground state solution and study the excited states by a variational technic. Starting from the ground state of $V_{-}$ and using logarithmic perturbation theory we study the ground states of $V_{+}$ and also of $V(x)=g^2 x^4$ and compare the result got by this new way with other results for this state in the literature.

7.534844

7.846008

8.790943

7.338727

8.274655

8.286291

8.880968

7.384252

7.574858

8.150867

7.444674

6.819587

7.212154

7.04913

7.141315

7.003627

7.129017

7.188799

7.176662

7.241285

7.048237

0912.0427

Pierre Mathieu

Olivier Blondeau-Fournier, Pierre Mathieu, Trevor Welsh

A bijection between paths for the M(p,2p+1) minimal model Virasoro characters

20 pages

Annales Henri Poincare 11:101-125,2010

10.1007/s00023-010-0031-x

null

hep-th math-ph math.MP

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

The states in the irreducible modules of the minimal models can be represented by infinite lattice paths arising from consideration of the corresponding RSOS statistical models. For the M(p,2p+1) models, a completely different path representation has been found recently, this one on a half-integer lattice; it has no known underlying statistical-model interpretation. The correctness of this alternative representation has not yet been demonstrated, even at the level of the generating functions, since the resulting fermionic characters differ from the known ones. This gap is filled here, with the presentation of two versions of a bijection between the two path representations of the M(p,2p+1) states. In addition, a half-lattice path representation for the M(p+1,2p+1) models is stated, and other generalisations suggested.

[ { "created": "Wed, 2 Dec 2009 13:57:51 GMT", "version": "v1" }, { "created": "Thu, 3 Dec 2009 16:52:39 GMT", "version": "v2" } ]

2014-11-20

[ [ "Blondeau-Fournier", "Olivier", "" ], [ "Mathieu", "Pierre", "" ], [ "Welsh", "Trevor", "" ] ]

The states in the irreducible modules of the minimal models can be represented by infinite lattice paths arising from consideration of the corresponding RSOS statistical models. For the M(p,2p+1) models, a completely different path representation has been found recently, this one on a half-integer lattice; it has no known underlying statistical-model interpretation. The correctness of this alternative representation has not yet been demonstrated, even at the level of the generating functions, since the resulting fermionic characters differ from the known ones. This gap is filled here, with the presentation of two versions of a bijection between the two path representations of the M(p,2p+1) states. In addition, a half-lattice path representation for the M(p+1,2p+1) models is stated, and other generalisations suggested.

11.71586

10.645516

13.073037

10.680073

9.860508

11.319045

10.938174

10.933625

10.190411

13.06897

9.901727

9.944057

11.224667

10.206332

9.91483

10.212267

10.158351

9.965778

9.940635

11.140993

10.25096

1311.7377

Istvan Nandori

I. G. Marian, U. D. Jentschura and I. Nandori

The Numerically Optimized Regulator and the Functional Renormalization Group

15 pages, 9 figures, final version, published in Journal of Physics G

J. Phys. G: Nucl. Part. Phys. 41 (2014) 055001

10.1088/0954-3899/41/5/055001

null

hep-th

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

We aim to optimize the functional form of the compactly supported smooth (CSS) regulator within the functional renormalization group (RG), in the framework of bosonized two-dimensional Quantum Electrodynamics (QED_2) and of the three-dimensional O(N=1) scalar field theory in the local potential approximation (LPA). The principle of minimal sensitivity (PMS) is used for the optimization of the CSS regulator, recovering all the major types of regulators in appropriate limits. Within the investigated class of functional forms, a thorough investigation of the CSS regulator, optimized with two different normalizations within the PMS method, confirms that the functional form of a regulator first proposed by Litim is optimal within the LPA. However, Litim's exact form leads to a kink in the regulator function. A form of the CSS regulator, numerically close to Litim's limit while maintaining infinite differentiability, remains compatible with the gradient expansion to all orders. A smooth analytic behaviour of the regulator is ensured by a small, but finite value of the exponential fall-off parameter in the CSS regulator. Consequently, a compactly supported regulator, in a parameter regime close to Litim's optimized form, but regularized with an exponential factor, appears to have favorable properties and could be used to address the scheme dependence of the functional renormalization group, at least within the the approximations employed in the studies reported here.

[ { "created": "Thu, 28 Nov 2013 17:21:15 GMT", "version": "v1" }, { "created": "Mon, 6 Jan 2014 19:52:05 GMT", "version": "v2" }, { "created": "Thu, 13 Mar 2014 21:38:55 GMT", "version": "v3" } ]

2014-03-17

[ [ "Marian", "I. G.", "" ], [ "Jentschura", "U. D.", "" ], [ "Nandori", "I.", "" ] ]

We aim to optimize the functional form of the compactly supported smooth (CSS) regulator within the functional renormalization group (RG), in the framework of bosonized two-dimensional Quantum Electrodynamics (QED_2) and of the three-dimensional O(N=1) scalar field theory in the local potential approximation (LPA). The principle of minimal sensitivity (PMS) is used for the optimization of the CSS regulator, recovering all the major types of regulators in appropriate limits. Within the investigated class of functional forms, a thorough investigation of the CSS regulator, optimized with two different normalizations within the PMS method, confirms that the functional form of a regulator first proposed by Litim is optimal within the LPA. However, Litim's exact form leads to a kink in the regulator function. A form of the CSS regulator, numerically close to Litim's limit while maintaining infinite differentiability, remains compatible with the gradient expansion to all orders. A smooth analytic behaviour of the regulator is ensured by a small, but finite value of the exponential fall-off parameter in the CSS regulator. Consequently, a compactly supported regulator, in a parameter regime close to Litim's optimized form, but regularized with an exponential factor, appears to have favorable properties and could be used to address the scheme dependence of the functional renormalization group, at least within the the approximations employed in the studies reported here.

12.331247

12.151749

11.916996

11.172009

12.611113

12.644377

12.223838

11.504945

11.751008

13.444879

11.370526

11.858432

12.034842

11.466905

11.544116

11.202297

11.712087

11.656436

11.629612

12.02301

11.431154

hep-th/9810055

W. T. Kim.

Won Tae Kim

AdS_2 and quantum stability in the CGHS model

14 pages, revtex, no figures, some eqs. are corrected and discussion is added. To appear in Phys. Rev. D

Phys.Rev.D60:024011,1999

10.1103/PhysRevD.60.024011

SOGANG-HEP 245/98

hep-th

null

The two-dimensional anti-de Sitter space(AdS_2) is constructed in terms of the CGHS model. The geometric solutions are composed of the AdS vacuum and the AdS black hole which are locally equivalent but distinguishable by their mass. The infalling classical fields do not play any role but the quantum back reaction is crucial in the formation of the AdS vacuum and AdS black hole. In the presence of the AdS black hole, there does not exist any radiation, which is consistent with the constraint equations. Therefore the transition from the AdS black hole to the AdS vacuum is impossible, and they are quantum mechanically stable . We discuss the reason why the vanishing Hawking radiation appears in the AdS_2 black hole in contrast to asymptotically flat black holes.

[ { "created": "Thu, 8 Oct 1998 08:25:39 GMT", "version": "v1" }, { "created": "Thu, 26 Nov 1998 06:57:21 GMT", "version": "v2" }, { "created": "Fri, 19 Feb 1999 12:26:51 GMT", "version": "v3" }, { "created": "Thu, 22 Apr 1999 06:30:00 GMT", "version": "v4" } ]

2011-07-19

[ [ "Kim", "Won Tae", "" ] ]

The two-dimensional anti-de Sitter space(AdS_2) is constructed in terms of the CGHS model. The geometric solutions are composed of the AdS vacuum and the AdS black hole which are locally equivalent but distinguishable by their mass. The infalling classical fields do not play any role but the quantum back reaction is crucial in the formation of the AdS vacuum and AdS black hole. In the presence of the AdS black hole, there does not exist any radiation, which is consistent with the constraint equations. Therefore the transition from the AdS black hole to the AdS vacuum is impossible, and they are quantum mechanically stable . We discuss the reason why the vanishing Hawking radiation appears in the AdS_2 black hole in contrast to asymptotically flat black holes.

8.827926

8.396512

8.315547

7.733545

8.101532

8.174846

8.459332

7.699386

7.773748

8.933545

8.12405

8.174473

8.593809

8.075148

8.199763

7.991244

8.184549

7.958773

8.059546

8.16366

8.016533

1205.5521

Vladimir Dobrev

V. K. Dobrev

Invariant Differential Operators for Non-Compact Lie Groups: the Sp(n,R) Case

Latex2e, 27 pages, 8 figures. arXiv admin note: substantial text overlap with arXiv:0812.2690, arXiv:0812.2655

null

10.1007/978-4-431-54270-4_22

CERN-PH-TH/2012-143

hep-th math.RT

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

In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebras sp(n,R), in detail for n=6. Our choice of these algebras is motivated by the fact that they belong to a narrow class of algebras, which we call 'conformal Lie algebras', which have very similar properties to the conformal algebras of Minkowski space-time. We give the main multiplets and the main reduced multiplets of indecomposable elementary representations for n=6, including the necessary data for all relevant invariant differential operators. In fact, this gives by reduction also the cases for n<6, since the main multiplet for fixed n coincides with one reduced case for n+1.

[ { "created": "Thu, 24 May 2012 18:21:25 GMT", "version": "v1" } ]

2017-05-04

[ [ "Dobrev", "V. K.", "" ] ]

In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebras sp(n,R), in detail for n=6. Our choice of these algebras is motivated by the fact that they belong to a narrow class of algebras, which we call 'conformal Lie algebras', which have very similar properties to the conformal algebras of Minkowski space-time. We give the main multiplets and the main reduced multiplets of indecomposable elementary representations for n=6, including the necessary data for all relevant invariant differential operators. In fact, this gives by reduction also the cases for n<6, since the main multiplet for fixed n coincides with one reduced case for n+1.

9.9861

7.511269

10.23027

8.41631

8.419088

7.531405

7.51164

7.534453

8.275017

11.646976

8.753654

9.269389

10.472095

9.671721

9.062808

8.965883

9.08413

9.326343

9.316493

10.049286

9.245843

1112.1157

Axel Weber

Epsilon expansion for infrared Yang-Mills theory in Landau gauge

12 pages, LaTeX; several short comments and references added; to be published in Phys. Rev. D

null

10.1103/PhysRevD.85.125005

null

hep-th

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

The study of the Dyson-Schwinger equations of Landau gauge Yang-Mills theory has revealed two types of solutions for the gluon and ghost propagators, with a scaling and a massive (decoupling) behavior in the extreme infrared, respectively. We show that both types of solutions are quantitatively reproduced by applying renormalization group equations of Callan-Symanzik type in an epsilon expansion to the infrared limit of Landau gauge Yang-Mills theory when a mass term for the gluons is added to the action. Only the decoupling solution corresponds to an infrared-stable fixed point in three and four space-time dimensions and is hence expected to be physically realized, in agreement with the results of recent lattice calculations.

[ { "created": "Tue, 6 Dec 2011 04:51:58 GMT", "version": "v1" }, { "created": "Sun, 27 May 2012 04:45:45 GMT", "version": "v2" } ]

2013-05-30

[ [ "Weber", "Axel", "" ] ]

The study of the Dyson-Schwinger equations of Landau gauge Yang-Mills theory has revealed two types of solutions for the gluon and ghost propagators, with a scaling and a massive (decoupling) behavior in the extreme infrared, respectively. We show that both types of solutions are quantitatively reproduced by applying renormalization group equations of Callan-Symanzik type in an epsilon expansion to the infrared limit of Landau gauge Yang-Mills theory when a mass term for the gluons is added to the action. Only the decoupling solution corresponds to an infrared-stable fixed point in three and four space-time dimensions and is hence expected to be physically realized, in agreement with the results of recent lattice calculations.

6.122819

5.869751

5.98908

5.468923

5.656756

6.365858

5.980424

6.025838

5.61283

6.169278

5.691233

6.043305

5.938217

5.786799

6.020773

5.760165

5.939139

5.634844

5.925729

6.236606

5.884073

1605.00720

Fernando C. Lombardo

C.D. Fosco, F.C. Lombardo and F.D. Mazzitelli

Casimir Free Energy at High Temperatures: Grounded vs Isolated Conductors

7 pages

Phys. Rev. D 93, 125015 (2016)

10.1103/PhysRevD.93.125015

null

hep-th quant-ph

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

We evaluate the difference between the Casimir free energies corresponding to either grounded or isolated perfect conductors, at high temperatures. We show that a general and simple expression for that difference can be given, in terms of the electrostatic capacitance matrix for the system of conductors. For the case of close conductors, we provide approximate expressions for that difference, by evaluating the capacitance matrix using the proximity force approximation. Since the high-temperature limit for the Casimir free energy for a medium described by a frequency-dependent conductivity diverging at zero frequency coincides with that of an isolated conductor, our results may shed light on the corrections to the Casimir force in the presence of real materials.

[ { "created": "Tue, 3 May 2016 01:04:43 GMT", "version": "v1" } ]

2016-06-22

[ [ "Fosco", "C. D.", "" ], [ "Lombardo", "F. C.", "" ], [ "Mazzitelli", "F. D.", "" ] ]

We evaluate the difference between the Casimir free energies corresponding to either grounded or isolated perfect conductors, at high temperatures. We show that a general and simple expression for that difference can be given, in terms of the electrostatic capacitance matrix for the system of conductors. For the case of close conductors, we provide approximate expressions for that difference, by evaluating the capacitance matrix using the proximity force approximation. Since the high-temperature limit for the Casimir free energy for a medium described by a frequency-dependent conductivity diverging at zero frequency coincides with that of an isolated conductor, our results may shed light on the corrections to the Casimir force in the presence of real materials.

8.936596

8.504444

9.455885

8.56736

8.32284

8.870329

8.292098

8.423555

8.586894

9.691117

8.244766

8.354174

8.767633

8.370448

8.327806

8.400268

8.439078

8.206397

8.601947

8.983322

8.242585

hep-th/0508181

Thomas Hertog

Thomas Hertog, Stefan Hollands

Stability in Designer Gravity

29 pages

Class.Quant.Grav. 22 (2005) 5323-5342

10.1088/0264-9381/22/24/007

null

hep-th gr-qc

null

We study the stability of designer gravity theories, in which one considers gravity coupled to a tachyonic scalar with anti-de Sitter boundary conditions defined by a smooth function W. We construct Hamiltonian generators of the asymptotic symmetries using the covariant phase space method of Wald et al.and find they differ from the spinor charges except when W=0. The positivity of the spinor charge is used to establish a lower bound on the conserved energy of any solution that satisfies boundary conditions for which $W$ has a global minimum. A large class of designer gravity theories therefore have a stable ground state, which the AdS/CFT correspondence indicates should be the lowest energy soliton. We make progress towards proving this, by showing that minimum energy solutions are static. The generalization of our results to designer gravity theories in higher dimensions involving several tachyonic scalars is discussed.

[ { "created": "Wed, 24 Aug 2005 17:43:13 GMT", "version": "v1" }, { "created": "Thu, 20 Oct 2005 12:51:26 GMT", "version": "v2" } ]

2009-11-11

[ [ "Hertog", "Thomas", "" ], [ "Hollands", "Stefan", "" ] ]

We study the stability of designer gravity theories, in which one considers gravity coupled to a tachyonic scalar with anti-de Sitter boundary conditions defined by a smooth function W. We construct Hamiltonian generators of the asymptotic symmetries using the covariant phase space method of Wald et al.and find they differ from the spinor charges except when W=0. The positivity of the spinor charge is used to establish a lower bound on the conserved energy of any solution that satisfies boundary conditions for which $W$ has a global minimum. A large class of designer gravity theories therefore have a stable ground state, which the AdS/CFT correspondence indicates should be the lowest energy soliton. We make progress towards proving this, by showing that minimum energy solutions are static. The generalization of our results to designer gravity theories in higher dimensions involving several tachyonic scalars is discussed.

9.160329

8.672555

9.84453

8.861565

9.039071

8.88229

9.204622

8.670562

9.055164

10.141217

8.573313

9.347259

9.699934

9.26607

9.208311

9.092376

9.489476

9.217384

9.267418

9.443712

9.144357

hep-th/9212006

Osorio & Vazquez-Mozo

L. Alvarez-Gaume and M.A. Vazquez-Mozo

Topics in String Theory and Quantum Gravity

133 pages, 22 figures (not included, available upon request), LaTeX

null

CERN-TH.6736/92, FTUAM-38/92

hep-th

null

These are the lecture notes for the Les Houches Summer School on Quantum Gravity held in July 1992. The notes present some general critical assessment of other (non-string) approaches to quantum gravity, and a selected set of topics concerning what we have learned so far about the subject from string theory. Since these lectures are long (133 A4 pages), we include in this abstract the table of contents, which should help the user of the bulletin board in deciding whether to latex and print the full file. 1-FIELD THEORETICAL APPROACH TO QUANTUM GRAVITY: Linearized gravity; Supergravity; Kaluza-Klein theories; Quantum field theory and classical gravity; Euclidean approach to Quantum Gravity; Canonical quantization of gravity; Gravitational Instantons. 2-CONSISTENCY CONDITIONS: ANOMALIES: Generalities about anomalies; Spinors in 2n dimensions; When can we expect to find anomalies?; The Atiyah-Singer Index Theorem and the computation of anomalies; Examples: Green-Schwarz cancellation mechanism and Witten's SU(2) global anomaly. 3-STRING THEORY I. BOSONIC STRING: Bosonic string; Conformal Field Theory; Quantization of the bosonic string; Interaction in string theory and the characterization of the moduli space; Bosonic strings with background fields. Stringy corrections to Einstein equations; Toroidal compactifications. $R$-duality; Operator formalism 4-STRING THEORY II. FERMIONIC STRINGS: Fermionic String; Heterotic String; Strings at finite temperature; Is string theory finite? 5-OTHER DEVELOPMENTS AND CONCLUSIONS: String ``Phenomenology''; Black Holes and Related Subjects

[ { "created": "Tue, 1 Dec 1992 17:01:17 GMT", "version": "v1" } ]

2007-05-23

[ [ "Alvarez-Gaume", "L.", "" ], [ "Vazquez-Mozo", "M. A.", "" ] ]

These are the lecture notes for the Les Houches Summer School on Quantum Gravity held in July 1992. The notes present some general critical assessment of other (non-string) approaches to quantum gravity, and a selected set of topics concerning what we have learned so far about the subject from string theory. Since these lectures are long (133 A4 pages), we include in this abstract the table of contents, which should help the user of the bulletin board in deciding whether to latex and print the full file. 1-FIELD THEORETICAL APPROACH TO QUANTUM GRAVITY: Linearized gravity; Supergravity; Kaluza-Klein theories; Quantum field theory and classical gravity; Euclidean approach to Quantum Gravity; Canonical quantization of gravity; Gravitational Instantons. 2-CONSISTENCY CONDITIONS: ANOMALIES: Generalities about anomalies; Spinors in 2n dimensions; When can we expect to find anomalies?; The Atiyah-Singer Index Theorem and the computation of anomalies; Examples: Green-Schwarz cancellation mechanism and Witten's SU(2) global anomaly. 3-STRING THEORY I. BOSONIC STRING: Bosonic string; Conformal Field Theory; Quantization of the bosonic string; Interaction in string theory and the characterization of the moduli space; Bosonic strings with background fields. Stringy corrections to Einstein equations; Toroidal compactifications. $R$-duality; Operator formalism 4-STRING THEORY II. FERMIONIC STRINGS: Fermionic String; Heterotic String; Strings at finite temperature; Is string theory finite? 5-OTHER DEVELOPMENTS AND CONCLUSIONS: String ``Phenomenology''; Black Holes and Related Subjects

7.83151

8.669807

8.708576

8.013683

8.406528

8.225178

9.062265

8.131982

8.512074

8.88581

7.911119

7.599113

7.646736

7.687181

7.737176

7.6418

7.726524

7.599739

7.616432

7.861423

7.589756

hep-th/0307118

Francesco Toppan

Central extensions, classical non-equivariant maps and residual symmetries

8 pages, LaTex. Talk given at the International Conference "Renormalization Group and Anomalies in Gravitation and Cosmology", Ouro Preto, Brazil, March 2003. To appear in the Proceedings

null

10.1016/S0920-5632(03)02432-0

CBPF-NF-021/03

hep-th

null

The arising of central extensions is discussed in two contexts. At first classical counterparts of quantum anomalies (deserving being named as "classical anomalies") are associated with a peculiar subclass of the non-equivariant maps. Further, the notion of "residual symmetry" for theories formulated in given non-vanishing EM backgrounds is introduced. It is pointed out that this is a Lie-algebraic, model-independent, concept.

[ { "created": "Sun, 13 Jul 2003 00:43:57 GMT", "version": "v1" } ]

2009-11-10

[ [ "Toppan", "Francesco", "" ] ]

The arising of central extensions is discussed in two contexts. At first classical counterparts of quantum anomalies (deserving being named as "classical anomalies") are associated with a peculiar subclass of the non-equivariant maps. Further, the notion of "residual symmetry" for theories formulated in given non-vanishing EM backgrounds is introduced. It is pointed out that this is a Lie-algebraic, model-independent, concept.

28.749323

28.374718

26.099089

24.914501

29.888266

26.378603

27.847816

26.833899

25.851515

30.244387

26.396734

25.058357

26.19623

25.600348

24.778011

25.526478

25.381111

24.870893

25.771206

25.316498

24.548458

hep-th/0607148

Senarath P. de Alwis

S. P. de Alwis

String Phenomenology and the Cosmological Constant

Added equation (20) clarifying usual assumption behind calculations of soft terms. Version published in PLB

Phys.Lett.B647:194-199,2007

10.1016/j.physletb.2007.01.049

null

hep-th

null

It is argued that classical string solutions should not be fine tuned to have a positive cosmological constant (CC) at the observed size, since even the quantum corrections from standard model effects will completely negate any classical string theory solution with such a CC. In fact it is even possible that there is no need at all for any ad hoc uplifting term in the potential since these quantum effects may well take care of this. Correspondingly any calculation of the parameters of the MSSM has to be rethought to take into account the evolution of the CC. This considerably complicates the issue since the initial conditions for RG evolution of these parameters are determined by the final condition on the CC! The Anthropic Principle is of no help in addressing these issues.

[ { "created": "Thu, 20 Jul 2006 15:55:42 GMT", "version": "v1" }, { "created": "Thu, 21 Sep 2006 16:03:41 GMT", "version": "v2" }, { "created": "Wed, 28 Mar 2007 16:00:19 GMT", "version": "v3" } ]

2008-11-26

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

It is argued that classical string solutions should not be fine tuned to have a positive cosmological constant (CC) at the observed size, since even the quantum corrections from standard model effects will completely negate any classical string theory solution with such a CC. In fact it is even possible that there is no need at all for any ad hoc uplifting term in the potential since these quantum effects may well take care of this. Correspondingly any calculation of the parameters of the MSSM has to be rethought to take into account the evolution of the CC. This considerably complicates the issue since the initial conditions for RG evolution of these parameters are determined by the final condition on the CC! The Anthropic Principle is of no help in addressing these issues.

18.625662

18.800526

19.518372

17.983149

18.297947

18.64115

17.836361

18.572977

18.497608

19.889908

18.680813

17.108454

17.469017

17.727081

17.317915

17.498545

17.893923

17.540854

17.233486

18.241034

17.768209

1106.2339

Leopoldo A. Pando Zayas

David Garfinkle and Leopoldo A. Pando Zayas

Rapid Thermalization in Field Theory from Gravitational Collapse

5 pages, 4 figures. v2: References added, improved most grids by a factor of 8, main results unchanged. v3 PRD version

null

10.1103/PhysRevD.84.066006

MCTP-11-23

hep-th gr-qc

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

Motivated by the duality with thermalization in field theory, we study gravitational collapse of a minimally coupled massless scalar field in Einstein gravity with a negative cosmological constant. We investigate the system numerically and establish that for small values of the initial amplitude of the scalar field there is no black hole formation, rather, the scalar field performs an oscillatory motion typical of geodesics in AdS. For large enough values of the amplitude of the scalar field we find black hole formation which we detect numerically as the emergence of an apparent horizon. Using the time of formation as an estimate for thermalization in the field theory we conclude that thermalization occurs very rapidly, close to the causal bound for a very wide range of black hole masses. We further study the thermalization time in more detail as a function of the amplitude and the width of the initial Gaussian scalar field profile and detect a rather mild structure.

[ { "created": "Sun, 12 Jun 2011 20:24:11 GMT", "version": "v1" }, { "created": "Tue, 21 Jun 2011 16:30:31 GMT", "version": "v2" }, { "created": "Mon, 9 Jan 2012 16:54:57 GMT", "version": "v3" } ]

2013-05-29

[ [ "Garfinkle", "David", "" ], [ "Zayas", "Leopoldo A. Pando", "" ] ]

Motivated by the duality with thermalization in field theory, we study gravitational collapse of a minimally coupled massless scalar field in Einstein gravity with a negative cosmological constant. We investigate the system numerically and establish that for small values of the initial amplitude of the scalar field there is no black hole formation, rather, the scalar field performs an oscillatory motion typical of geodesics in AdS. For large enough values of the amplitude of the scalar field we find black hole formation which we detect numerically as the emergence of an apparent horizon. Using the time of formation as an estimate for thermalization in the field theory we conclude that thermalization occurs very rapidly, close to the causal bound for a very wide range of black hole masses. We further study the thermalization time in more detail as a function of the amplitude and the width of the initial Gaussian scalar field profile and detect a rather mild structure.

7.985308

6.985666

8.37192

7.339651

7.877711

7.448987

7.975707

6.996581

7.249751

8.33128

7.152171

7.417362

7.571491

7.632234

7.536322

7.250314

7.592333

7.716499

7.530565

7.946476

7.363381

1511.05560

Rolf Kappl

Rolf Kappl, Hans Peter Nilles, Martin Wolfgang Winkler

Modulated Natural Inflation

8 pages, 6 figures

null

10.1016/j.physletb.2015.12.073

null

hep-th astro-ph.CO hep-ph

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

We discuss some model-independent implications of embedding (aligned) axionic inflation in string theory. As a consequence of string theoretic duality symmetries the pure cosine potentials of natural inflation are replaced by modular functions. This leads to "wiggles" in the inflationary potential that modify the predictions with respect to CMB-observations. In particular, the scalar power spectrum deviates from the standard power law form. As a by-product one can show that trans-Planckian excursions of the aligned effective axion are compatible with the weak gravity conjecture.

[ { "created": "Tue, 17 Nov 2015 21:00:01 GMT", "version": "v1" } ]

2016-02-17

[ [ "Kappl", "Rolf", "" ], [ "Nilles", "Hans Peter", "" ], [ "Winkler", "Martin Wolfgang", "" ] ]

We discuss some model-independent implications of embedding (aligned) axionic inflation in string theory. As a consequence of string theoretic duality symmetries the pure cosine potentials of natural inflation are replaced by modular functions. This leads to "wiggles" in the inflationary potential that modify the predictions with respect to CMB-observations. In particular, the scalar power spectrum deviates from the standard power law form. As a by-product one can show that trans-Planckian excursions of the aligned effective axion are compatible with the weak gravity conjecture.

12.47142

13.090788

13.794717

13.000796

13.068032

12.344464

12.159915

11.671973

12.220548

15.990459

11.259559

11.299576

12.499998

12.274671

11.661679

11.141432

11.724657

11.343696

11.397638

12.472844

11.496588

hep-th/9506130

Luigi Martina

L. Martina, O. K. Pashaev and G. Soliani (Dipartimento di Fisica dell'Universit\`a and INFN Sezione di Lecce, Lecce, Italy)

Topological Field Theory and Nonlinear $\sigma$-Models on Symmetric Spaces

LaTeX format, 31 pages

null

DFUL-1/06/95

hep-th

null

We show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmetric spaces. In such models the matter fields are coupled to gauge Chern-Simons fields, which are associated with the isotropy subgroup of the considered symmetric space. Moreover, they can be related to certain (integrable and non-integrable) evolution systems, as the Ishimori and the Heisenberg model. The main classical and quantum properties of these systems are discussed in connection with the topological field theory and the condensed matter physics.

[ { "created": "Tue, 20 Jun 1995 08:49:04 GMT", "version": "v1" } ]

2007-05-23

[ [ "Martina", "L.", "", "Dipartimento di Fisica\n dell'Università and INFN Sezione di Lecce, Lecce, Italy" ], [ "Pashaev", "O. K.", "", "Dipartimento di Fisica\n dell'Università and INFN Sezione di Lecce, Lecce, Italy" ], [ "Soliani", "G.", "", "Dipartimento di Fisica\n dell'Università and INFN Sezione di Lecce, Lecce, Italy" ] ]

We show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmetric spaces. In such models the matter fields are coupled to gauge Chern-Simons fields, which are associated with the isotropy subgroup of the considered symmetric space. Moreover, they can be related to certain (integrable and non-integrable) evolution systems, as the Ishimori and the Heisenberg model. The main classical and quantum properties of these systems are discussed in connection with the topological field theory and the condensed matter physics.

10.369216

10.185184

10.259425

8.931835

9.733506

10.698697

9.755299

9.56681

9.334108

10.887449

9.337605

9.806571

10.395683

9.611167

10.294261

9.936606

10.009046

10.036605

9.999647

9.83656

9.840796

1310.1168

Dr. Sudhaker Upadhyay

Rabin Banerjee, Sudhaker Upadhyay

Generalized supersymmetry and sigma models

16 pages, No figures, Revised version, to appear in Phys. Lett. B

Phys. Lett. B 734 (2014) 369-376

10.1016/j.physletb.2014.05.076

null

hep-th hep-lat

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

In this paper, we discuss the generalizations of exact supersymmetries present in the supersymmetrized sigma models. These generalizations are made by making the supersymmetric transformation parameter field-dependent. Remarkably, the supersymmetric effective actions emerge naturally through the Jacobian associated with the generalized supersymmetry transformations. We explicitly demonstrate these for two different supersymmetric sigma models, namely, one dimensional sigma model and topological sigma model for hyperinstantons on quaternionic manifold.

[ { "created": "Fri, 4 Oct 2013 05:01:00 GMT", "version": "v1" }, { "created": "Fri, 30 May 2014 06:00:28 GMT", "version": "v2" } ]

2014-06-23

[ [ "Banerjee", "Rabin", "" ], [ "Upadhyay", "Sudhaker", "" ] ]

In this paper, we discuss the generalizations of exact supersymmetries present in the supersymmetrized sigma models. These generalizations are made by making the supersymmetric transformation parameter field-dependent. Remarkably, the supersymmetric effective actions emerge naturally through the Jacobian associated with the generalized supersymmetry transformations. We explicitly demonstrate these for two different supersymmetric sigma models, namely, one dimensional sigma model and topological sigma model for hyperinstantons on quaternionic manifold.

13.045168

12.077426

14.829848

12.176057

12.771502

13.399853

13.209226

12.055906

12.216353

15.371331

11.8132

11.780953

13.190126

11.965755

11.921394

12.256989

11.963834

11.921792

11.712732

12.665594

11.911991

hep-th/0207132

Washington Taylor

Washington Taylor (MIT)

Perturbative diagrams in string field theory

27 pages, 9 eps figures, Latex

null

MIT-CTP-3290, NI02015-MTH

hep-th

null

A general algorithm is presented which gives a closed-form expression for an arbitrary perturbative diagram of cubic string field theory at any loop order. For any diagram, the resulting expression is given by an integral of a function of several infinite matrices, each built from a finite number of blocks containing the Neumann coefficients of Witten's 3-string vertex. The closed-form expression for any diagram can be approximated by level truncation on oscillator level, giving a computation involving finite size matrices. Some simple tree and loop diagrams are worked out as examples of this approach.

[ { "created": "Sat, 13 Jul 2002 02:44:38 GMT", "version": "v1" } ]

2007-05-23

[ [ "Taylor", "Washington", "", "MIT" ] ]

A general algorithm is presented which gives a closed-form expression for an arbitrary perturbative diagram of cubic string field theory at any loop order. For any diagram, the resulting expression is given by an integral of a function of several infinite matrices, each built from a finite number of blocks containing the Neumann coefficients of Witten's 3-string vertex. The closed-form expression for any diagram can be approximated by level truncation on oscillator level, giving a computation involving finite size matrices. Some simple tree and loop diagrams are worked out as examples of this approach.

15.015698

12.086055

14.515623

12.153664

12.605392

13.225943

12.344398

12.747806

12.127941

17.505886

13.171543

12.937881

13.416277

12.543964

12.436687

12.303871

12.492487

12.671962

12.599467

14.42093

12.849326

hep-th/9204082

Jean Zinn-Justin

B. Eynard and J. Zinn-Justin

The $O(n)$ model on a random surface: critical points and large order behaviour

33 pages

Nucl.Phys. B386 (1992) 558-591

10.1016/0550-3213(92)90630-T

null

hep-th

null

In this article we report a preliminary investigation of the large $N$ limit of a generalized one-matrix model which represents an $O(n)$ symmetric model on a random lattice. The model on a regular lattice is known to be critical only for $-2\le n\le 2$. This is the situation we shall discuss also here, using steepest descent. We first determine the critical and multicritical points, recovering in particular results previously obtained by Kostov. We then calculate the scaling behaviour in the critical region when the cosmological constant is close to its critical value. Like for the multi-matrix models, all critical points can be classified in terms of two relatively prime integers $p,q$. In the parametrization $p=(2m+1)q \pm l$, $m,l$ integers such that $0<l<q$, the string susceptibility exponent is found to be $\gamma_{\rm string}=-2l/(p+q-l)$. When $l=1$ we find that all results agree with those of the corresponding $(p,q)$ string models, otherwise they are different.\par We finally explain how to derive the large order behaviour of the corresponding topological expansion in the double scaling limit.

[ { "created": "Fri, 24 Apr 1992 15:27:54 GMT", "version": "v1" } ]

2009-10-22

[ [ "Eynard", "B.", "" ], [ "Zinn-Justin", "J.", "" ] ]

In this article we report a preliminary investigation of the large $N$ limit of a generalized one-matrix model which represents an $O(n)$ symmetric model on a random lattice. The model on a regular lattice is known to be critical only for $-2\le n\le 2$. This is the situation we shall discuss also here, using steepest descent. We first determine the critical and multicritical points, recovering in particular results previously obtained by Kostov. We then calculate the scaling behaviour in the critical region when the cosmological constant is close to its critical value. Like for the multi-matrix models, all critical points can be classified in terms of two relatively prime integers $p,q$. In the parametrization $p=(2m+1)q \pm l$, $m,l$ integers such that $0<l<q$, the string susceptibility exponent is found to be $\gamma_{\rm string}=-2l/(p+q-l)$. When $l=1$ we find that all results agree with those of the corresponding $(p,q)$ string models, otherwise they are different.\par We finally explain how to derive the large order behaviour of the corresponding topological expansion in the double scaling limit.

8.74328

9.20517

9.824684

8.44796

9.706796

8.847487

8.785254

9.26294

8.917968

10.853136

8.705232

8.607491

8.701236

8.376039

8.479933

8.432057

8.355985

8.450512

8.592858

8.797512

8.526641

2212.05074

Dimitrios Toulikas

Mariana Gra\~na, Nicolas Kovensky, Dimitrios Toulikas

Smearing and Unsmearing KKLT AdS Vacua

28 pages

null

10.1007/JHEP03(2023)015

null

hep-th

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

Gaugino condensation on D-branes wrapping internal cycles gives a mechanism to stabilize the associated moduli. According to the effective field theory, this gives rise, when combined with fluxes, to supersymmetric AdS$_4$ solutions. In this paper we provide a ten-dimensional description of these vacua. We first find the supersymmetry equations for type II AdS$_4$ vacua with gaugino condensates on D-branes, in the framework of generalized complex geometry. We then solve them for type IIB compactifications with gaugino condensates on smeared D7-branes. We show that supersymmetry requires a (conformal) Calabi-Yau manifold and imaginary self-dual three-form fluxes with an additional (0,3) component. The latter is proportional to the cosmological constant, whose magnitude is determined by the expectation value of the gaugino condensate and the stabilized volume of the cycle wrapped by the branes. This confirms, qualitatively and quantitatively, the results obtained using effective field theory. We find that exponential separation between the AdS and the KK scales seems possible as long as the three-form fluxes are such that their (0,3) component is exponentially suppressed. As for the localized solution, it requires going beyond SU(3)-structure internal manifolds. Nevertheless, we show that the action can be evaluated on-shell without relying on the details of such complicated configuration. We find that no "perfect square" structure occurs, and the result is divergent. We compute the four-fermion contributions, including a counterterm, needed to cancel these divergencies.

[ { "created": "Fri, 9 Dec 2022 19:00:01 GMT", "version": "v1" } ]

2023-03-22

[ [ "Graña", "Mariana", "" ], [ "Kovensky", "Nicolas", "" ], [ "Toulikas", "Dimitrios", "" ] ]

Gaugino condensation on D-branes wrapping internal cycles gives a mechanism to stabilize the associated moduli. According to the effective field theory, this gives rise, when combined with fluxes, to supersymmetric AdS$_4$ solutions. In this paper we provide a ten-dimensional description of these vacua. We first find the supersymmetry equations for type II AdS$_4$ vacua with gaugino condensates on D-branes, in the framework of generalized complex geometry. We then solve them for type IIB compactifications with gaugino condensates on smeared D7-branes. We show that supersymmetry requires a (conformal) Calabi-Yau manifold and imaginary self-dual three-form fluxes with an additional (0,3) component. The latter is proportional to the cosmological constant, whose magnitude is determined by the expectation value of the gaugino condensate and the stabilized volume of the cycle wrapped by the branes. This confirms, qualitatively and quantitatively, the results obtained using effective field theory. We find that exponential separation between the AdS and the KK scales seems possible as long as the three-form fluxes are such that their (0,3) component is exponentially suppressed. As for the localized solution, it requires going beyond SU(3)-structure internal manifolds. Nevertheless, we show that the action can be evaluated on-shell without relying on the details of such complicated configuration. We find that no "perfect square" structure occurs, and the result is divergent. We compute the four-fermion contributions, including a counterterm, needed to cancel these divergencies.

8.612842

7.860619

8.618864

7.641099

8.034749

8.338178

7.734697

8.281309

7.725648

9.397699

7.841251

7.656715

7.851145

7.686109

7.679302

7.596219

7.775605

7.776669

7.804723

7.889334

7.550479

hep-th/9512102

Valery Kosinov

Aleksey Yu. Nurmagambetov

A generalized action principle for D=4 doubly supersymmetric membrane

7 pages. LATEX. Submitted to the Proc. of the Xth International Workshop on HEP\&QFT, Zvenigorod, Russia, 1995, September 20-26

null

hep-th

null

In this review I discuss some recent results concerning D=4 doubly supersymmetric membranes within the framework of geometrical approach obtained in the collaboration with Igor Bandos, Dmitrij Sorokin and Dmitrij Volkov.

[ { "created": "Thu, 14 Dec 1995 15:37:29 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nurmagambetov", "Aleksey Yu.", "" ] ]

In this review I discuss some recent results concerning D=4 doubly supersymmetric membranes within the framework of geometrical approach obtained in the collaboration with Igor Bandos, Dmitrij Sorokin and Dmitrij Volkov.

16.675699

12.489669

19.83655

11.604098

9.57932

11.895879

9.264058

11.136117

11.880066

15.671342

10.710636

11.817332

12.270499

12.149796

11.840506

11.296439

12.226243

11.256931

12.382536

13.449412

12.053731

1403.6687

Taichi Kidani

Taichi Kidani, Kazuya Koyama

Non-Gaussianities in DBI inflation with angular motion

23 pages, 11 figures, matches published version

Phys. Rev. D 90, 023515 (2014)

10.1103/PhysRevD.90.023515

null

hep-th

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

We study DBI spinflation models with angular potentials that are derived in string theory. We analyse the background dynamics with different parameter sets and study the impact of changing each parameter on inflationary dynamics. It is known that the conversion of the entropy perturbation into the curvature perturbation gives multi-field DBI inflation models a possibility of satisfying the observational constraints by relaxing the stringent microphysical constraint that disfavours single field DBI inflation models. we show that our model is excluded by the Planck satellite observations even with the conversion mechanism regardless of the parameter set.

[ { "created": "Wed, 26 Mar 2014 14:29:04 GMT", "version": "v1" }, { "created": "Mon, 14 Jul 2014 10:19:50 GMT", "version": "v2" }, { "created": "Tue, 21 Oct 2014 13:41:02 GMT", "version": "v3" } ]

2014-10-22

[ [ "Kidani", "Taichi", "" ], [ "Koyama", "Kazuya", "" ] ]

We study DBI spinflation models with angular potentials that are derived in string theory. We analyse the background dynamics with different parameter sets and study the impact of changing each parameter on inflationary dynamics. It is known that the conversion of the entropy perturbation into the curvature perturbation gives multi-field DBI inflation models a possibility of satisfying the observational constraints by relaxing the stringent microphysical constraint that disfavours single field DBI inflation models. we show that our model is excluded by the Planck satellite observations even with the conversion mechanism regardless of the parameter set.

17.491289

17.133635

17.722061

16.197405

17.30522

17.777529

20.209488

17.227974

18.310759

18.588827

16.152945

16.447622

16.37225

15.931161

16.619741

16.640676

16.485472

16.075346

16.363197

16.551695

15.929009

1411.3991

Pedro Cavalcanti Malta

F.A. Gomes Ferreira, P.C. Malta, L.P.R. Ospedal and J.A. Helay\"el-Neto

Topologically Massive Spin-1 Particles and Spin-Dependent Potentials

23 pages, 2 figures

Eur. Phys. J. C (2015) 75:232

10.1140/epjc/s10052-015-3470-1

null

hep-th

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

We investigate the role played by particular field representations of an intermediate massive spin-1 boson in the context of spin-dependent interparticle potentials between fermionic sources in the limit of low momentum transfer. The comparison between the well-known case of the Proca field and that of an exchanged spin-1 boson (with gauge-invariant mass) described by a 2-form potential mixed with a 4-vector gauge field is established in order to pursue an analysis of spin- as well as velocity-dependent profiles of the interparticle potentials. We discuss possible applications and derive an upper bound on the product of vector and pseudo-tensor coupling constants.

[ { "created": "Fri, 14 Nov 2014 17:47:12 GMT", "version": "v1" }, { "created": "Mon, 27 Apr 2015 09:49:00 GMT", "version": "v2" } ]

2016-07-26

[ [ "Ferreira", "F. A. Gomes", "" ], [ "Malta", "P. C.", "" ], [ "Ospedal", "L. P. R.", "" ], [ "Helayël-Neto", "J. A.", "" ] ]

We investigate the role played by particular field representations of an intermediate massive spin-1 boson in the context of spin-dependent interparticle potentials between fermionic sources in the limit of low momentum transfer. The comparison between the well-known case of the Proca field and that of an exchanged spin-1 boson (with gauge-invariant mass) described by a 2-form potential mixed with a 4-vector gauge field is established in order to pursue an analysis of spin- as well as velocity-dependent profiles of the interparticle potentials. We discuss possible applications and derive an upper bound on the product of vector and pseudo-tensor coupling constants.

14.897161

14.478353

14.726395

12.80522

13.624171

16.187456

14.596606

13.737858

13.376462

15.40928

13.872393

14.244328

13.895123

13.388899

13.694871

14.871654

14.018378

13.667963

13.57503

13.911027

13.719666

1505.04743

Kazuya Yonekura

Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories

22 pages; v2: references added

null

10.1007/JHEP07(2015)167

null

hep-th

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

We consider general 5d $SU(N)$ quiver gauge theories whose nodes form an ADE Dynkin diagram of type $G$. Each node has $SU(N_i)$ gauge group of general rank, Chern-Simons level $\kappa_i$ and additional $w_i$ fundamentals. When the total flavor number at each node is less than or equal to $2N_i-2|\kappa_i|$, we give general rules under which the symmetries associated to instanton currents are enhanced to $G \times G$ or a subgroup of it in the UV 5d superconformal theory. When the total flavor number violates that condition at some of the nodes, further enhancement of flavor symmetries occurs. In particular we find a large class of gauge theories interpreted as $S^1$ compactification of 6d superconformal theories which are waiting for string/F-theory realization. We also consider hypermultiplets in (anti-)symmetric representation.

[ { "created": "Mon, 18 May 2015 18:04:47 GMT", "version": "v1" }, { "created": "Mon, 24 Aug 2015 04:49:18 GMT", "version": "v2" } ]

2015-09-02

[ [ "Yonekura", "Kazuya", "" ] ]

We consider general 5d $SU(N)$ quiver gauge theories whose nodes form an ADE Dynkin diagram of type $G$. Each node has $SU(N_i)$ gauge group of general rank, Chern-Simons level $\kappa_i$ and additional $w_i$ fundamentals. When the total flavor number at each node is less than or equal to $2N_i-2|\kappa_i|$, we give general rules under which the symmetries associated to instanton currents are enhanced to $G \times G$ or a subgroup of it in the UV 5d superconformal theory. When the total flavor number violates that condition at some of the nodes, further enhancement of flavor symmetries occurs. In particular we find a large class of gauge theories interpreted as $S^1$ compactification of 6d superconformal theories which are waiting for string/F-theory realization. We also consider hypermultiplets in (anti-)symmetric representation.

8.698039

9.561072

10.259858

8.919239

9.458817

9.630719

9.804546

8.749615

8.265617

10.307305

8.362563

8.169238

9.2479

8.352331

8.421923

8.478247

8.604159

8.343614

8.714452

9.118167

8.09905

hep-th/0207118

Peter Horvathy

P. A. Horvathy and L. Martina

Exotic galilean symmetry in non-commutative field theory

Corrected version: further details on the symmetry of the Levy-Leblond equation are added. LaTex, 8 pages, no figures

null

hep-th

null

The non-relativistic version of the non commutative Field Theory, recently introduced by Lozano, Moreno and Schaposnik [1], is shown to admit the ``exotic'' Galilean symmetry found before for point particles.

[ { "created": "Fri, 12 Jul 2002 14:31:06 GMT", "version": "v1" }, { "created": "Thu, 8 May 2003 08:48:08 GMT", "version": "v2" }, { "created": "Mon, 2 Jun 2003 14:01:35 GMT", "version": "v3" } ]

2007-05-23

[ [ "Horvathy", "P. A.", "" ], [ "Martina", "L.", "" ] ]

The non-relativistic version of the non commutative Field Theory, recently introduced by Lozano, Moreno and Schaposnik [1], is shown to admit the ``exotic'' Galilean symmetry found before for point particles.

15.863263

10.526664

13.065714

11.129816

10.41588

11.872614

9.887704

10.728089

11.605515

14.36999

12.577698

11.388956

13.871232

12.627982

11.889828

11.78167

11.668498

11.787753

12.010173

12.896065

11.69136

1605.04258

Biagio Lucini

Andreas Athenodorou, Ed Bennett, Georg Bergner, Daniel Elander, C.-J. David Lin, Biagio Lucini and Maurizio Piai

Large mass hierarchies from strongly-coupled dynamics

27 pages, 5 figures. Typos corrected, reference added. Version aligned with the JHEP publication

null

10.1007/JHEP06(2016)114

null

hep-th hep-lat hep-ph

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

Besides the Higgs particle discovered in 2012, with mass 125 GeV, recent LHC data show tentative signals for new resonances in diboson as well as diphoton searches at high center-of-mass energies (2 TeV and 750 GeV, respectively). If these signals are confirmed (or other new resonances are discovered at the TeV scale), the large hierarchies between masses of new bosons require a dynamical explanation. Motivated by these tentative signals of new physics, we investigate the theoretical possibility that large hierarchies in the masses of glueballs could arise dynamically in new strongly-coupled gauge theories extending the standard model of particle physics. We study lattice data on non-Abelian gauge theories in the (near-)conformal regime as well as a simple toy model in the context of gauge/gravity dualities. We focus our attention on the ratio $R$ between the mass of the lightest spin-2 and spin-0 resonances, that for technical reasons is a particularly convenient and clean observable to study. For models in which (non-perturbative) large anomalous dimensions arise dynamically, we show indications that this mass ratio can be large, with $R>5$. Moreover, our results suggest that $R$ might be related to universal properties of the IR fixed point. Our findings provide an interesting step towards understanding large mass ratios in the non-perturbative regime of quantum field theories with (near) IR conformal behaviour.

[ { "created": "Fri, 13 May 2016 17:15:32 GMT", "version": "v1" }, { "created": "Tue, 12 Jul 2016 09:12:31 GMT", "version": "v2" } ]

2016-07-20

[ [ "Athenodorou", "Andreas", "" ], [ "Bennett", "Ed", "" ], [ "Bergner", "Georg", "" ], [ "Elander", "Daniel", "" ], [ "Lin", "C. -J. David", "" ], [ "Lucini", "Biagio", "" ], [ "Piai", "Maurizio", "" ] ]

Besides the Higgs particle discovered in 2012, with mass 125 GeV, recent LHC data show tentative signals for new resonances in diboson as well as diphoton searches at high center-of-mass energies (2 TeV and 750 GeV, respectively). If these signals are confirmed (or other new resonances are discovered at the TeV scale), the large hierarchies between masses of new bosons require a dynamical explanation. Motivated by these tentative signals of new physics, we investigate the theoretical possibility that large hierarchies in the masses of glueballs could arise dynamically in new strongly-coupled gauge theories extending the standard model of particle physics. We study lattice data on non-Abelian gauge theories in the (near-)conformal regime as well as a simple toy model in the context of gauge/gravity dualities. We focus our attention on the ratio $R$ between the mass of the lightest spin-2 and spin-0 resonances, that for technical reasons is a particularly convenient and clean observable to study. For models in which (non-perturbative) large anomalous dimensions arise dynamically, we show indications that this mass ratio can be large, with $R>5$. Moreover, our results suggest that $R$ might be related to universal properties of the IR fixed point. Our findings provide an interesting step towards understanding large mass ratios in the non-perturbative regime of quantum field theories with (near) IR conformal behaviour.

5.863774

6.72314

6.19613

5.966959

6.270802

6.764598

6.440907

6.536346

6.030106

6.15015

6.430944

5.86663

5.853038

5.748133

5.873361

5.902664

5.855014

5.825083

5.817368

5.725606

5.828188

hep-th/9206021

null

Daniel S. Freed

Classical Chern-Simons theory, Part 1

60 pages. This paper is written using AMSTeX 2.1, which can be obtained via ftp from the American Mathematical Society (instructions included)

Adv.Math. 113 (1995) 237-303

null

hep-th math.QA

null

There is a large mathematical literature on classical mechanics and field theory, especially on the relationship to symplectic geometry. One might think that the classical Chern-Simons theory, which is topological and so has vanishing hamiltonian, is completely trivial. However, this theory exhibits interesting geometry that is usually absent from ordinary field theories. (The same is true on the quantum level; topological quantum field theories exhibit geometric properties not usually seen in ordinary quantum field theories, and they lack analytic properties which are usually seen.) In this paper we carefully develop this geometry. Of particular interest are the line bundles with connection over the moduli space of flat connections on a 2-manifold. We extend the usual theory to cover 2-manifolds with boundary. We carefully develop ``gluing laws'' in all of our constructions, including the line bundle with connection over moduli space. The corresponding quantum gluing laws are fundamental. Part 1 covers connected and simply connected gauge groups; Part 2 will cover arbitrary compact Lie groups.

[ { "created": "Thu, 4 Jun 1992 19:39:25 GMT", "version": "v1" } ]

2008-02-03

[ [ "Freed", "Daniel S.", "" ] ]

There is a large mathematical literature on classical mechanics and field theory, especially on the relationship to symplectic geometry. One might think that the classical Chern-Simons theory, which is topological and so has vanishing hamiltonian, is completely trivial. However, this theory exhibits interesting geometry that is usually absent from ordinary field theories. (The same is true on the quantum level; topological quantum field theories exhibit geometric properties not usually seen in ordinary quantum field theories, and they lack analytic properties which are usually seen.) In this paper we carefully develop this geometry. Of particular interest are the line bundles with connection over the moduli space of flat connections on a 2-manifold. We extend the usual theory to cover 2-manifolds with boundary. We carefully develop ``gluing laws'' in all of our constructions, including the line bundle with connection over moduli space. The corresponding quantum gluing laws are fundamental. Part 1 covers connected and simply connected gauge groups; Part 2 will cover arbitrary compact Lie groups.

10.733416

11.329575

11.504414

10.000732

10.836969

10.68884

10.919716

10.708961

10.354389

13.2582

10.441069

10.231808

10.909639

10.21674

10.159829

10.177843

10.38771

9.88331

10.885168

10.974714

10.068658

1711.02224

Omar Zanusso

Boris S. Merzlikin, Ilya L. Shapiro, Andreas Wipf, Omar Zanusso

Renormalization group flows and fixed points for a scalar field in curved space with nonminimal $F(\phi)R$ coupling

17 pages, 4 figures

Phys. Rev. D 96, 125007 (2017)

10.1103/PhysRevD.96.125007

null

hep-th

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

Using covariant methods, we construct and explore the Wetterich equation for a non-minimal coupling $F(\phi)R$ of a quantized scalar field to the Ricci scalar of a prescribed curved space. This includes the often considered non-minimal coupling $\xi \phi^2 R$ as a special case. We consider the truncations without and with scale- and field-dependent wave function renormalization in dimensions between four and two. Thereby the main emphasis is on analytic and numerical solutions of the fixed point equations and the behavior in the vicinity of the corresponding fixed points. We determine the non-minimal coupling in the symmetric and spontaneously broken phases with vanishing and non-vanishing average fields, respectively. Using functional perturbative renormalization group methods, we discuss the leading universal contributions to the RG flow below the upper critical dimension $d=4$.

[ { "created": "Mon, 6 Nov 2017 23:49:16 GMT", "version": "v1" } ]

2017-12-27

[ [ "Merzlikin", "Boris S.", "" ], [ "Shapiro", "Ilya L.", "" ], [ "Wipf", "Andreas", "" ], [ "Zanusso", "Omar", "" ] ]

Using covariant methods, we construct and explore the Wetterich equation for a non-minimal coupling $F(\phi)R$ of a quantized scalar field to the Ricci scalar of a prescribed curved space. This includes the often considered non-minimal coupling $\xi \phi^2 R$ as a special case. We consider the truncations without and with scale- and field-dependent wave function renormalization in dimensions between four and two. Thereby the main emphasis is on analytic and numerical solutions of the fixed point equations and the behavior in the vicinity of the corresponding fixed points. We determine the non-minimal coupling in the symmetric and spontaneously broken phases with vanishing and non-vanishing average fields, respectively. Using functional perturbative renormalization group methods, we discuss the leading universal contributions to the RG flow below the upper critical dimension $d=4$.

6.765207

7.707093

7.7462

7.361093

7.35773

7.721696

8.019674

8.059218

7.490403

8.142913

7.273249

6.927829

7.109385

7.006856

6.985249

6.947989

7.094362

7.024967

7.068295

7.443915

6.849107

1406.4720

Alexander Cockburn

Symmetric hyperbolic monopoles

20 pages, 1 figure

null

10.1088/1751-8113/47/39/395401

null

hep-th

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

Hyperbolic monopole solutions can be obtained from circle-invariant ADHM data if the curvature of hyperbolic space is suitably tuned. Here we give explicit ADHM data corresponding to axial hyperbolic monopoles in a simple, tractable form, as well as expressions for the axial monopole fields. The data is deformed into new 1-parameter families preserving dihedral and twisted-line symmetries. In many cases explicit expressions are presented for their spectral curves and rational maps of both Donaldson and Jarvis type.

[ { "created": "Wed, 18 Jun 2014 14:10:16 GMT", "version": "v1" } ]

2015-06-22

[ [ "Cockburn", "Alexander", "" ] ]

Hyperbolic monopole solutions can be obtained from circle-invariant ADHM data if the curvature of hyperbolic space is suitably tuned. Here we give explicit ADHM data corresponding to axial hyperbolic monopoles in a simple, tractable form, as well as expressions for the axial monopole fields. The data is deformed into new 1-parameter families preserving dihedral and twisted-line symmetries. In many cases explicit expressions are presented for their spectral curves and rational maps of both Donaldson and Jarvis type.

16.593945

16.1819

18.979862

16.072605

17.527586

16.167465

17.458275

15.658557

15.751371

20.543463

16.169748

15.275165

18.051285

15.466325

15.7894

15.726624

15.612787

15.860138

15.702927

17.164045

16.099003

1605.07248

Xian-Hui Ge

Yi-Li Wang, Xian-Hui Ge

Shear Viscosity to Entropy Density Ratio in Higher Derivative Gravity with Momentum Dissipation

21 pages, 5 figures, revised version, references added, to appear in PRD

Phys. Rev. D 94, 066007 (2016)

10.1103/PhysRevD.94.066007

null

hep-th

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

We investigate $\eta/s$ in linear scalar fields modified Gauss-Bonnet theory that breaks translation invariance. We first calculate $\eta/s$ both analytically and numerically and show its relationship with temperature in log-log plot. Our results show that $\eta/s\sim T^2$ at low temperatures. The causality is also considered in this work. We then find that causality violation still happens in the presence of the linear scalar field and we suggest there is a Gauss-Bonnet coupling dependent lower limit for the effective mass of the graviton. If the effective mass of the graviton is big enough, then there will be no causality violation and hence no constraints for the Gauss-Bonnet coupling.

[ { "created": "Tue, 24 May 2016 00:54:51 GMT", "version": "v1" }, { "created": "Thu, 2 Jun 2016 07:33:21 GMT", "version": "v2" }, { "created": "Thu, 15 Sep 2016 08:20:38 GMT", "version": "v3" } ]

2016-09-28

[ [ "Wang", "Yi-Li", "" ], [ "Ge", "Xian-Hui", "" ] ]

We investigate $\eta/s$ in linear scalar fields modified Gauss-Bonnet theory that breaks translation invariance. We first calculate $\eta/s$ both analytically and numerically and show its relationship with temperature in log-log plot. Our results show that $\eta/s\sim T^2$ at low temperatures. The causality is also considered in this work. We then find that causality violation still happens in the presence of the linear scalar field and we suggest there is a Gauss-Bonnet coupling dependent lower limit for the effective mass of the graviton. If the effective mass of the graviton is big enough, then there will be no causality violation and hence no constraints for the Gauss-Bonnet coupling.

9.451069

8.771243

9.832741

8.518829

9.448453

9.008983

9.177901

9.415176

8.506849

9.469584

8.999333

9.133764

9.07755

8.905869

8.849566

8.914437

8.961814

8.635484

8.715825

9.11823

8.801955

2005.12308

Francesco Benini

Francesco Benini, Edoardo Colombo, Saman Soltani, Alberto Zaffaroni, Ziruo Zhang

Superconformal indices at large $N$ and the entropy of AdS$_5$ $\times$ SE$_5$ black holes

36 pages + appendices; v2: typos corrected, references added

Class. Quant. Grav. 37, 215021 (2020)

10.1088/1361-6382/abb39b

SISSA 11/2020/FISI

hep-th gr-qc

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

The large $N$ limit of the four-dimensional superconformal index was computed and successfully compared to the entropy of a class of AdS$_5$ black holes only in the particular case of equal angular momenta. Using the Bethe Ansatz formulation, we compute the index at large $N$ with arbitrary chemical potentials for all charges and angular momenta, for general $\mathcal{N}=1$ four-dimensional conformal theories with a holographic dual. We conjecture and bring some evidence that a particular universal contribution to the sum over Bethe vacua dominates the index at large $N$. For $\mathcal{N}=4$ SYM, this contribution correctly leads to the entropy of BPS Kerr-Newman black holes in AdS$_5 \times S^5$ for arbitrary values of the conserved charges, thus completing the microscopic derivation of their microstates. We also consider theories dual to AdS$_5 \times \mathrm{SE}_5$, where SE$_5$ is a Sasaki-Einstein manifold. We first check our results against the so-called universal black hole. We then explicitly construct the near-horizon geometry of BPS Kerr-Newman black holes in AdS$_5 \times T^{1,1}$, charged under the baryonic symmetry of the conifold theory and with equal angular momenta. We compute the entropy of these black holes using the attractor mechanism and find complete agreement with the field theory predictions.

[ { "created": "Mon, 25 May 2020 18:00:53 GMT", "version": "v1" }, { "created": "Thu, 9 Jul 2020 14:36:09 GMT", "version": "v2" } ]

2020-10-20

[ [ "Benini", "Francesco", "" ], [ "Colombo", "Edoardo", "" ], [ "Soltani", "Saman", "" ], [ "Zaffaroni", "Alberto", "" ], [ "Zhang", "Ziruo", "" ] ]

The large $N$ limit of the four-dimensional superconformal index was computed and successfully compared to the entropy of a class of AdS$_5$ black holes only in the particular case of equal angular momenta. Using the Bethe Ansatz formulation, we compute the index at large $N$ with arbitrary chemical potentials for all charges and angular momenta, for general $\mathcal{N}=1$ four-dimensional conformal theories with a holographic dual. We conjecture and bring some evidence that a particular universal contribution to the sum over Bethe vacua dominates the index at large $N$. For $\mathcal{N}=4$ SYM, this contribution correctly leads to the entropy of BPS Kerr-Newman black holes in AdS$_5 \times S^5$ for arbitrary values of the conserved charges, thus completing the microscopic derivation of their microstates. We also consider theories dual to AdS$_5 \times \mathrm{SE}_5$, where SE$_5$ is a Sasaki-Einstein manifold. We first check our results against the so-called universal black hole. We then explicitly construct the near-horizon geometry of BPS Kerr-Newman black holes in AdS$_5 \times T^{1,1}$, charged under the baryonic symmetry of the conifold theory and with equal angular momenta. We compute the entropy of these black holes using the attractor mechanism and find complete agreement with the field theory predictions.

5.161207

5.030874

5.895659

4.92407

5.009456

4.926966

4.88598

4.994075

5.103992

5.929189

5.074789

5.068858

5.338828

5.068234

5.072698

4.935019

5.057489

5.110082

5.140068

5.331831

5.064115

1105.5680

Esmaeil Ebrahimi

Esmaeil Ebrahimi, Ahmad Sheykhi

Interacting Ghost Dark Energy in Brans-Dicke Theory

10 pages, 6 figures

Phys. Lett. B 706 (2011) 19

10.1016/j.physletb.2011.11.008

null

hep-th

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

We investigate the QCD ghost model of dark energy in the framework of Brans-Dicke cosmology. First, we study the non-interacting ghost dark energy in a flat Brans-Dicke theory. In this case we obtain the EoS and the deceleration parameters and a differential equation governing the evolution of ghost energy density. Interestingly enough, we find that the EoS parameter of the non-interacting ghost dark energy can cross the phantom line ($w_D=-1$) provided the parameters of the model are chosen suitably. Then, we generalize the study to the interacting ghost dark energy in both flat and non-flat Brans-Dicke framework and find out that the transition of $w_D$ to phantom regime can be more easily achieved for than when resort to the Einstein field equations is made.

[ { "created": "Sat, 28 May 2011 03:42:21 GMT", "version": "v1" }, { "created": "Thu, 9 Jun 2011 04:54:56 GMT", "version": "v2" } ]

2015-05-28

[ [ "Ebrahimi", "Esmaeil", "" ], [ "Sheykhi", "Ahmad", "" ] ]

We investigate the QCD ghost model of dark energy in the framework of Brans-Dicke cosmology. First, we study the non-interacting ghost dark energy in a flat Brans-Dicke theory. In this case we obtain the EoS and the deceleration parameters and a differential equation governing the evolution of ghost energy density. Interestingly enough, we find that the EoS parameter of the non-interacting ghost dark energy can cross the phantom line ($w_D=-1$) provided the parameters of the model are chosen suitably. Then, we generalize the study to the interacting ghost dark energy in both flat and non-flat Brans-Dicke framework and find out that the transition of $w_D$ to phantom regime can be more easily achieved for than when resort to the Einstein field equations is made.

6.646915

6.367584

5.773365

6.03685

6.749432

6.747178

7.126768

5.363169

6.406947

6.534017

6.493384

6.59549

6.12798

6.362693

6.577552

6.32955

6.476446

5.931383

6.675467

6.651259

6.627875

1007.0173

Hong Lu

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

Massive Three-Dimensional Supergravity From R+R^2 Action in Six Dimensions

Latex, 32 Pages, an equation is corrected, a few new equations and a number of clarifying remarks are added

JHEP 1010:016,2010

10.1007/JHEP10(2010)016

CAS-KITPC/ITP-193, MIFPA-10-28

hep-th

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

We obtain a three-parameter family of massive N=1 supergravities in three dimensions from the 3-sphere reduction of an off-shell N=(1,0) six-dimensional Poincare supergravity that includes a curvature squared invariant. The three-dimensional theory contains an off-shell supergravity multiplet and an on-shell scalar matter multiplet. We then generalise this in three dimensions to an eight-parameter family of supergravities. We also find a duality relationship between the six-dimensional theory and the N=(1,0) six-dimensional theory obtained through a T^4 reduction of the heterotic string effective action that includes the higher-order terms associated with the supersymmetrisation of the anomaly-cancelling \tr(R\wedge R) term.

[ { "created": "Thu, 1 Jul 2010 14:10:41 GMT", "version": "v1" }, { "created": "Sat, 17 Jul 2010 09:57:03 GMT", "version": "v2" } ]

2014-11-21

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

We obtain a three-parameter family of massive N=1 supergravities in three dimensions from the 3-sphere reduction of an off-shell N=(1,0) six-dimensional Poincare supergravity that includes a curvature squared invariant. The three-dimensional theory contains an off-shell supergravity multiplet and an on-shell scalar matter multiplet. We then generalise this in three dimensions to an eight-parameter family of supergravities. We also find a duality relationship between the six-dimensional theory and the N=(1,0) six-dimensional theory obtained through a T^4 reduction of the heterotic string effective action that includes the higher-order terms associated with the supersymmetrisation of the anomaly-cancelling \tr(R\wedge R) term.

8.028233

7.595588

9.066998

7.509941

8.271577

8.303569

7.950388

8.089113

7.975479

9.861689

7.428284

7.425564

7.917737

7.485386

7.518075

7.438722

7.554606

7.511061

7.624361

8.112263

7.448971

2301.02670

Alexandros Spyridon Arvanitakis

Alex S. Arvanitakis and David Tennyson

Brane wrapping, AKSZ sigma models, and QP manifolds

39 pages, 1 figure. v2: added references & acknowledgements

null

MI-HET-793

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

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

We introduce a technique to realise brane wrapping and double dimensional reduction in the context of AKSZ topological sigma models and also in their target spaces, which are symplectic $L_n$-algebroids (i.e. QP-manifolds). Our procedure involves a novel coisotropic reduction combined with an AKSZ transgression that realises degree-shifting; the reduced QP-manifold depends on topological data of the `wrapped' cycle. We check our procedure against the known rules for fluxes under wrapping in the context of M-theory/type IIA duality, and we also find a new relation between Courant algebroids and Poisson manifolds.

[ { "created": "Fri, 6 Jan 2023 19:00:00 GMT", "version": "v1" }, { "created": "Tue, 24 Jan 2023 15:43:04 GMT", "version": "v2" } ]

2023-01-25

[ [ "Arvanitakis", "Alex S.", "" ], [ "Tennyson", "David", "" ] ]

We introduce a technique to realise brane wrapping and double dimensional reduction in the context of AKSZ topological sigma models and also in their target spaces, which are symplectic $L_n$-algebroids (i.e. QP-manifolds). Our procedure involves a novel coisotropic reduction combined with an AKSZ transgression that realises degree-shifting; the reduced QP-manifold depends on topological data of the `wrapped' cycle. We check our procedure against the known rules for fluxes under wrapping in the context of M-theory/type IIA duality, and we also find a new relation between Courant algebroids and Poisson manifolds.

12.37152

11.855919

16.076868

11.574434

12.085401

11.380509

12.19994

11.724151

11.190807

16.268869

11.110851

11.119377

12.6166

11.49828

11.656433

11.501857

11.410554

11.587916

11.315214

13.444529

11.623478

1202.1952

Dmitri Antonov

Dmitri Antonov (CFIF, Lisbon)

Triviality of the Aharonov-Bohm interaction in a spatially confining vacuum

15 pages, to appear in Eur. Phys. J. C

Eur.Phys.J. C72 (2012) 2015

10.1140/epjc/s10052-012-2015-0

null

hep-th

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

This paper explores long-range interactions between magnetically-charged excitations of the vacuum of the dual Landau-Ginzburg theory (DLGT) and the dual Abrikosov vortices present in the same vacuum. We show that, in the London limit of DLGT, the corresponding Aharonov-Bohm-type interactions possess such a coupling that the interactions reduce to a trivial factor of e^{2\pi i (integer)}. The same analysis is done in the SU(N_c)-inspired [U(1)]^{N_c-1}-invariant DLGT, as well as in DLGT extended by a Chern-Simons term. It is furthermore explicitly shown that the Chern-Simons term leads to the appearance of knotted dual Abrikosov vortices.

[ { "created": "Thu, 9 Feb 2012 11:12:06 GMT", "version": "v1" }, { "created": "Thu, 10 May 2012 09:56:06 GMT", "version": "v2" } ]

2012-06-12

[ [ "Antonov", "Dmitri", "", "CFIF, Lisbon" ] ]

This paper explores long-range interactions between magnetically-charged excitations of the vacuum of the dual Landau-Ginzburg theory (DLGT) and the dual Abrikosov vortices present in the same vacuum. We show that, in the London limit of DLGT, the corresponding Aharonov-Bohm-type interactions possess such a coupling that the interactions reduce to a trivial factor of e^{2\pi i (integer)}. The same analysis is done in the SU(N_c)-inspired [U(1)]^{N_c-1}-invariant DLGT, as well as in DLGT extended by a Chern-Simons term. It is furthermore explicitly shown that the Chern-Simons term leads to the appearance of knotted dual Abrikosov vortices.

9.74265

10.262718

11.480706

9.907999

11.75613

10.232747

10.105548

10.865355

9.854979

10.621811

10.045417

10.622784

9.785731

10.117279

10.004481

9.914082

10.266442

10.270974

9.969192

9.972041

9.991268

1909.05750

Olindo Corradini

Fiorenzo Bastianelli, Roberto Bonezzi, Olindo Corradini, Emanuele Latini

One-loop quantum gravity from the N=4 spinning particle

11 pages, typos corrected in formulas (3.7), (3,9), (3.10) and (3.13) present in the published version, references updated

null

10.1007/JHEP11(2019)124

null

hep-th

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

We construct a spinning particle that reproduces the propagation of the graviton on those curved backgrounds which solve the Einstein equations, with or without cosmological constant, i.e. Einstein manifolds. It is obtained by modifying the N=4 supersymmetric spinning particle by relaxing the gauging of the full SO(4) R-symmetry group to a parabolic subgroup, and selecting suitable Chern-Simons couplings on the worldline. We test it by computing the correct one-loop divergencies of quantum gravity in D=4.

[ { "created": "Thu, 12 Sep 2019 15:26:17 GMT", "version": "v1" }, { "created": "Tue, 23 Feb 2021 14:25:16 GMT", "version": "v2" } ]

2021-02-24

[ [ "Bastianelli", "Fiorenzo", "" ], [ "Bonezzi", "Roberto", "" ], [ "Corradini", "Olindo", "" ], [ "Latini", "Emanuele", "" ] ]

We construct a spinning particle that reproduces the propagation of the graviton on those curved backgrounds which solve the Einstein equations, with or without cosmological constant, i.e. Einstein manifolds. It is obtained by modifying the N=4 supersymmetric spinning particle by relaxing the gauging of the full SO(4) R-symmetry group to a parabolic subgroup, and selecting suitable Chern-Simons couplings on the worldline. We test it by computing the correct one-loop divergencies of quantum gravity in D=4.

9.731251

7.227742

10.517344

8.260924

8.614099

8.313604

7.57901

8.322783

8.04653

11.718105

8.11552

8.630464

9.683867

8.63119

8.874492

8.851918

8.813041

8.815876

8.555324

10.174332

8.951389

hep-th/9711025

Ulrich Theis

N. Dragon, U. Theis

Gauging the Central Charge

10 pages, LaTeX, uses AMS-LaTeX. Ansatz for constraints on L changed, reference added

null

ITP-UH-29/97

hep-th

null

We gauge the central charge of the N=2 supersymmetry algebra in rigid superspace. The Fayet Sohnius hypermultiplet with gauged central charge coincides on-shell with N=2 supersymmetric electrodynamics. The gauge couplings of the vector-tensor multiplet turn out to be nonpolynomial.

[ { "created": "Wed, 5 Nov 1997 22:54:39 GMT", "version": "v1" }, { "created": "Thu, 6 Nov 1997 17:01:36 GMT", "version": "v2" } ]

2007-05-23

[ [ "Dragon", "N.", "" ], [ "Theis", "U.", "" ] ]

We gauge the central charge of the N=2 supersymmetry algebra in rigid superspace. The Fayet Sohnius hypermultiplet with gauged central charge coincides on-shell with N=2 supersymmetric electrodynamics. The gauge couplings of the vector-tensor multiplet turn out to be nonpolynomial.

14.324001

9.469993

11.86799

8.479522

9.918637

9.050828

8.38869

10.217111

8.871033

13.092903

9.230617

10.850807

11.485862

10.737354

10.770862

10.080289

9.689687

10.519184

10.297077

11.464631

10.157165

hep-th/0306029

Paul H. Frampton

Grand Unification at About 4 TeV

11 pages latex, one eps figure. Plenary Talk at SUGRA 20, Northeastern University, March 2003

null

hep-th

null

Use of the AdS/CFT correspondence to arrive at phenomenological gauge field theories is dicussed, focusing on the orbifolded case without supersymmetry. An abelian orbifold with the finite group $Z_{p}$ can give rise to a $G = SU(N)^p$ gauge group with chiral fermions and complex scalars in different bi-fundamental representations of $G$. The precision measurements at the $Z$ resonance suggest the values $p = 12$ and $N = 3$, and a unifications scale $M_U \sim 4$ TeV. Robustness and predictivity of such grand unification is discussed.

[ { "created": "Wed, 4 Jun 2003 03:47:55 GMT", "version": "v1" } ]

2007-05-23

[ [ "Frampton", "Paul H.", "" ] ]

Use of the AdS/CFT correspondence to arrive at phenomenological gauge field theories is dicussed, focusing on the orbifolded case without supersymmetry. An abelian orbifold with the finite group $Z_{p}$ can give rise to a $G = SU(N)^p$ gauge group with chiral fermions and complex scalars in different bi-fundamental representations of $G$. The precision measurements at the $Z$ resonance suggest the values $p = 12$ and $N = 3$, and a unifications scale $M_U \sim 4$ TeV. Robustness and predictivity of such grand unification is discussed.

10.144104

7.614876

10.053802

8.871312

8.984037

8.072004

8.225339

7.821879

8.334009

10.048311

8.577662

8.463667

9.628942

9.063869

9.17888

8.832772

9.055964

8.97756

8.957674

9.001898

9.173841

2405.17722

Glenn Barnich

Glenn Barnich, Luca Ciambelli, Hern\'an A. Gonz\'alez

Chiral shift symmetries as an infinite tower of subleading super-shift symmetries

5 pages

null

hep-th gr-qc

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

Chiral shift symmetries of the massless free bosons in two dimensions are global symmetries that are somewhat similar to asymptotic symmetries. They are most transparent in double-null coordinates where they are parametrized by two functions of one variable. In BMS-type coordinates, half of them appear as an infinite tower of sub-leading super-shift symmetries.

[ { "created": "Tue, 28 May 2024 00:40:00 GMT", "version": "v1" } ]

2024-05-29

[ [ "Barnich", "Glenn", "" ], [ "Ciambelli", "Luca", "" ], [ "González", "Hernán A.", "" ] ]

Chiral shift symmetries of the massless free bosons in two dimensions are global symmetries that are somewhat similar to asymptotic symmetries. They are most transparent in double-null coordinates where they are parametrized by two functions of one variable. In BMS-type coordinates, half of them appear as an infinite tower of sub-leading super-shift symmetries.

16.392372

13.29448

14.938853

13.086403

12.683187

16.650467

16.445168

13.763376

14.65463

16.835394

14.285279

13.256278

15.105262

13.488363

13.939935

13.732757

12.778439

13.694038

13.615784

14.817546

15.029503

hep-th/0509015

David Berenstein

David Berenstein, Diego H. Correa, Samuel E. Vazquez

All loop BMN state energies from matrices

19 pages, 2 figures. v2: typos corrected

JHEP 0602 (2006) 048

10.1088/1126-6708/2006/02/048

NSF-KITP-05-82

hep-th

null

We study a quantum corrected SO(6) invariant matrix quantum mechanics obtained from the s-wave modes of the scalars of N = 4 SYM on S^3. For commuting matrices, this model is believed to describe the 1/8 BPS states of the full SYM theory. In the large N limit the ground state corresponds to a distribution of eigenvalues on a S^5 which we identify with the sphere on the dual geometry AdS_5x S^5. We then consider non-BPS excitations by studying matrix perturbations where the off-diagonal modes are treated perturbatively. To a first approximation, these modes can be described by a free theory of "string bits" whose energies depend on the diagonal degrees of freedom. We then consider a state with two string bits and large angular momentum J on the sphere. In the large J limit we use a simple saddle point approximation to show that the energy of these states coincides precisely with the BMN spectrum to all orders in the 't Hooft coupling. We also find some new problems with the all loop Bethe Ansatz conjecture of the N=4 SYM planar spin chain model.

[ { "created": "Thu, 1 Sep 2005 18:50:39 GMT", "version": "v1" }, { "created": "Thu, 13 Oct 2005 23:29:42 GMT", "version": "v2" } ]

2009-11-11

[ [ "Berenstein", "David", "" ], [ "Correa", "Diego H.", "" ], [ "Vazquez", "Samuel E.", "" ] ]

We study a quantum corrected SO(6) invariant matrix quantum mechanics obtained from the s-wave modes of the scalars of N = 4 SYM on S^3. For commuting matrices, this model is believed to describe the 1/8 BPS states of the full SYM theory. In the large N limit the ground state corresponds to a distribution of eigenvalues on a S^5 which we identify with the sphere on the dual geometry AdS_5x S^5. We then consider non-BPS excitations by studying matrix perturbations where the off-diagonal modes are treated perturbatively. To a first approximation, these modes can be described by a free theory of "string bits" whose energies depend on the diagonal degrees of freedom. We then consider a state with two string bits and large angular momentum J on the sphere. In the large J limit we use a simple saddle point approximation to show that the energy of these states coincides precisely with the BMN spectrum to all orders in the 't Hooft coupling. We also find some new problems with the all loop Bethe Ansatz conjecture of the N=4 SYM planar spin chain model.

8.462315

8.098809

10.622895

8.078671

8.597358

8.729272

8.606627

8.280519

8.121444

11.127075

8.013351

8.22637

8.930142

8.077091

8.214056

8.140607

8.210587

8.121292

8.346148

9.232005

8.105809

1511.00853

Yan-Gang Miao

Yan-Gang Miao, Zhen-Ming Xu

Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions

v1: 24 pages, 10 figures; v2: 23 pages, 8 figures, minor revisions and references added; v3: 27 pages, 9 figures, 4 tables, clarifications added, the final version to appear in Eur. Phys. J. C

Eur. Phys. J.C 76 (2016) 217 (13 pages)

10.1140/epjc/s10052-016-4073-1

null

hep-th gr-qc

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

Considering non-Gaussian smeared matter distributions, we investigate thermodynamic behaviors of the noncommutative high-dimensional Schwarzschild-Tangherlini anti-de Sitter black hole, and obtain the condition for the existence of extreme black holes. We indicate that the Gaussian smeared matter distribution, which is a special case of non-Gaussian smeared matter distributions, is not applicable for the 6- and higher-dimensional black holes due to the hoop conjecture. In particular, the phase transition is analyzed in detail. Moreover, we point out that the Maxwell equal area law maintains for the noncommutative black hole whose Hawking temperature is within a specific range, but fails for that whose the Hawking temperature is beyond this range.

[ { "created": "Tue, 3 Nov 2015 11:00:15 GMT", "version": "v1" }, { "created": "Mon, 4 Jan 2016 08:48:50 GMT", "version": "v2" }, { "created": "Mon, 11 Apr 2016 01:08:56 GMT", "version": "v3" } ]

2016-04-26

[ [ "Miao", "Yan-Gang", "" ], [ "Xu", "Zhen-Ming", "" ] ]

Considering non-Gaussian smeared matter distributions, we investigate thermodynamic behaviors of the noncommutative high-dimensional Schwarzschild-Tangherlini anti-de Sitter black hole, and obtain the condition for the existence of extreme black holes. We indicate that the Gaussian smeared matter distribution, which is a special case of non-Gaussian smeared matter distributions, is not applicable for the 6- and higher-dimensional black holes due to the hoop conjecture. In particular, the phase transition is analyzed in detail. Moreover, we point out that the Maxwell equal area law maintains for the noncommutative black hole whose Hawking temperature is within a specific range, but fails for that whose the Hawking temperature is beyond this range.

8.329085

7.510483

7.80438

7.492703

8.126334

7.855752

7.956772

7.779312

7.960629

8.302014

7.596606

7.48248

7.473053

7.467913

7.729775

7.715079

7.486823

7.485739

7.785051

7.74598

7.48158

1805.09011

Dimitrios Giataganas

Stochastic Motion of Heavy Quarks in Holography: A Theory-Independent Treatment

23 pages, Contribution to the Corfu Summer Institute Workshops 2017

null

NCTS-TH/1804

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

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

Stochastic dynamics play a central role in strongly coupled phenomena. We present and review a theory independent approach in holography to study such phenomena. We firstly argue that the heavy quark diffusion occurs in realistic strongly coupled systems. Then we analyze the quantum and thermal fluctuation, dissipation and the corresponding Brownian motion of a heavy particle in such environments for a wide class of theories. The holographic study is based on the properties of the straight string fluctuations. The observables and coefficients associated with the stochastic motion depend on a single parameter which encodes the properties of the different theories. Moreover, certain Dp-brane fluctuations can be mapped one-to-one to the string fluctuations and therefore the stochastic brane observables can be read from the string ones. Then we review the Langevin diffusion of a moving heavy quark in generic thermal holographic theories. The analysis is based on the properties of the trailing string and its fluctuations. The string world-sheet has a black hole horizon and the quark feels an effective temperature different than the environmental one. The formulas of the effective temperature, the drag force on the particle and the Langevin coefficients are given in terms of the background metric elements readily applicable to any theory. At the end we comment on the backreaction effects on the medium and present results of the Monte Carlo simulations.

[ { "created": "Wed, 23 May 2018 08:31:44 GMT", "version": "v1" } ]

2018-05-24

[ [ "Giataganas", "Dimitrios", "" ] ]

Stochastic dynamics play a central role in strongly coupled phenomena. We present and review a theory independent approach in holography to study such phenomena. We firstly argue that the heavy quark diffusion occurs in realistic strongly coupled systems. Then we analyze the quantum and thermal fluctuation, dissipation and the corresponding Brownian motion of a heavy particle in such environments for a wide class of theories. The holographic study is based on the properties of the straight string fluctuations. The observables and coefficients associated with the stochastic motion depend on a single parameter which encodes the properties of the different theories. Moreover, certain Dp-brane fluctuations can be mapped one-to-one to the string fluctuations and therefore the stochastic brane observables can be read from the string ones. Then we review the Langevin diffusion of a moving heavy quark in generic thermal holographic theories. The analysis is based on the properties of the trailing string and its fluctuations. The string world-sheet has a black hole horizon and the quark feels an effective temperature different than the environmental one. The formulas of the effective temperature, the drag force on the particle and the Langevin coefficients are given in terms of the background metric elements readily applicable to any theory. At the end we comment on the backreaction effects on the medium and present results of the Monte Carlo simulations.

12.4195

11.97092

12.652462

11.352377

12.223537

11.50863

11.49246

12.371747

11.348567

12.668741

11.521149

11.596288

12.009875

11.523654

11.480977

11.849659

11.590801

11.437018

11.432273

11.686731

11.647933

hep-th/0108014

Zhanying Yang

Boyu Hou, Yongqiang Wang, Zhanying Yang and Ruihong Yue

The Geometric Construction of WZW Effective Action in Non-commutative Manifold

9 pages, latex, no figures

null

10.1088/0253-6102/37/3/349

null

hep-th

null

By constructing close one cochain density ${\Omega^1}_{2n}$ in the gauge group space we get WZW effective Lagrangian on high dimensional non-commutative space.Especially consistent anomalies derived from this WZW effective action in non-commutative four-dimensional space coincides with those by L.Bonora etc.

[ { "created": "Fri, 3 Aug 2001 07:54:35 GMT", "version": "v1" } ]

2018-01-17

[ [ "Hou", "Boyu", "" ], [ "Wang", "Yongqiang", "" ], [ "Yang", "Zhanying", "" ], [ "Yue", "Ruihong", "" ] ]

By constructing close one cochain density ${\Omega^1}_{2n}$ in the gauge group space we get WZW effective Lagrangian on high dimensional non-commutative space.Especially consistent anomalies derived from this WZW effective action in non-commutative four-dimensional space coincides with those by L.Bonora etc.

44.870113

42.561237

43.11536

41.416065

41.748417

40.051884

42.968952

38.249653

43.027222

57.977982

40.337528

39.442917

40.90913

39.331009

38.128967

38.637589

37.683083

38.406666

37.112289

43.58791

37.935493

hep-th/0602116

Stoytcho Yazadjiev

Stoytcho S. Yazadjiev

Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions

LaTex, 13 pages; v2 some typos corrected, references added;v3 more typos corrected, more references added, some explanations expanded, PRD

Phys.Rev.D73:104007,2006

10.1103/PhysRevD.73.104007

null

hep-th gr-qc

null

We consider 5D Einstein-Maxwell (EM) gravity in spacetimes with three commuting Killing vectors: one timelike and two spacelike Killing vectors one of them being hypersurface-orthogonal. Assuming a special ansatz for the Maxwell field we show that the 2-dimensional reduced EM equations are completely integrable by deriving a Lax-pair presentation. We also develop a solution generating method for explicit construction of exact EM solutions with considered symmetries. We also derive explicitly a new rotating six parametric 5D EM solution which includes the dipole black ring solution as a particular case.

[ { "created": "Sun, 12 Feb 2006 09:24:56 GMT", "version": "v1" }, { "created": "Tue, 28 Feb 2006 09:11:06 GMT", "version": "v2" }, { "created": "Tue, 18 Apr 2006 11:49:50 GMT", "version": "v3" } ]

2008-11-26

[ [ "Yazadjiev", "Stoytcho S.", "" ] ]

We consider 5D Einstein-Maxwell (EM) gravity in spacetimes with three commuting Killing vectors: one timelike and two spacelike Killing vectors one of them being hypersurface-orthogonal. Assuming a special ansatz for the Maxwell field we show that the 2-dimensional reduced EM equations are completely integrable by deriving a Lax-pair presentation. We also develop a solution generating method for explicit construction of exact EM solutions with considered symmetries. We also derive explicitly a new rotating six parametric 5D EM solution which includes the dipole black ring solution as a particular case.

8.870114

7.628328

9.558027

7.791204

6.741445

7.420862

7.820046

7.56526

7.641466

10.097077

7.530358

8.450849

8.966407

8.340596

8.180991

8.524768

8.611739

8.580606

8.205244

8.628194

8.246811

hep-th/9504071

Eduardo Ramos

E. Ramos and J.Roca

Extended Gauge Invariance in Geometrical Particle Models and the Geometry of W-Symmetry

plain TeX (macros included). Slightly modified version published in Nuc. Phys. B

Nucl.Phys. B452 (1995) 705-723

10.1016/0550-3213(95)00329-Q

null

hep-th

null

We prove that particle models whose action is given by the integrated $n$-th curvature function over the world line possess $n+1$ gauge invariances. A geometrical characterization of these symmetries is obtained via Frenet equations by rephrasing the $n$-th curvature model in $\reals^d$ in terms of a standard relativistic particle in $S^{d-n}$. We ``prove by example'' that the algebra of these infinitesimal gauge invariances is nothing but $\W_{n+2}$, thus providing a geometrical picture of the $\W$-symmetry for these models. As a spin-off of our approach we give a new global invariant for four-dimensional curves subject to a curvature constraint.

[ { "created": "Thu, 13 Apr 1995 08:50:12 GMT", "version": "v1" }, { "created": "Thu, 22 Feb 1996 16:36:57 GMT", "version": "v2" } ]

2009-10-28

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

We prove that particle models whose action is given by the integrated $n$-th curvature function over the world line possess $n+1$ gauge invariances. A geometrical characterization of these symmetries is obtained via Frenet equations by rephrasing the $n$-th curvature model in $\reals^d$ in terms of a standard relativistic particle in $S^{d-n}$. We ``prove by example'' that the algebra of these infinitesimal gauge invariances is nothing but $\W_{n+2}$, thus providing a geometrical picture of the $\W$-symmetry for these models. As a spin-off of our approach we give a new global invariant for four-dimensional curves subject to a curvature constraint.

11.725395

11.513885

13.666587

11.288147

12.316762

12.334723

11.813493

11.530917

10.67336

12.240119

10.452644

11.009266

12.228432

11.084184

11.935227

11.796223

11.173659

11.279569

11.371871

11.66778

11.113276

2112.05584

Norma Selomit Ram\'irez-Uribe

Selomit Ram\'irez-Uribe

Four-loop scattering amplitudes through the loop-tree duality

8 pages, 6 figures. Contribution to the proceedings of the XIX Mexican School on Particles and Fields

null

IFIC/21-53

hep-th

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

A general outlook is presented on the study of multiloop topologies appearing for the first time at four loops. A unified description and representation of this family is provided, the so-called N$^4$MLT universal topology. Based on the Loop-Tree Duality framework, we discuss the dual opening of this family and expose the relevance of a causal representation. We explore an alternative procedure for the search of causal singular configurations of selected N$^4$MLT Feynman diagrams through the application of a modified Grover's quantum algorithm.

[ { "created": "Fri, 10 Dec 2021 14:53:36 GMT", "version": "v1" } ]

2021-12-13

[ [ "Ramírez-Uribe", "Selomit", "" ] ]

A general outlook is presented on the study of multiloop topologies appearing for the first time at four loops. A unified description and representation of this family is provided, the so-called N$^4$MLT universal topology. Based on the Loop-Tree Duality framework, we discuss the dual opening of this family and expose the relevance of a causal representation. We explore an alternative procedure for the search of causal singular configurations of selected N$^4$MLT Feynman diagrams through the application of a modified Grover's quantum algorithm.

23.309353

27.852278

19.444248

20.206839

22.405378

25.093246

22.952147

24.051119

16.506081

20.052345

23.808559

20.896761

21.141296

20.067377

21.108156

21.572359

21.762053

21.997694

19.815845

20.040129

21.017036

hep-th/0611147

Hubert Saleur

Hubert Saleur and Volker Schomerus

On the SU(2|1) WZW model and its statistical mechanics applications

38 pages, 2 figures

Nucl.Phys.B775:312-340,2007

10.1016/j.nuclphysb.2007.02.031

SPhT-T06/143; DESY 06-201

hep-th cond-mat.mes-hall

null

Motivated by a careful analysis of the Laplacian on the supergroup $SU(2|1)$ we formulate a proposal for the state space of the $SU(2|1)$ WZNW model. We then use properties of $\hat{sl}(2|1)$ characters to compute the partition function of the theory. In the special case of level $k=1$ the latter is found to agree with the properly regularized partition function for the continuum limit of the integrable $sl(2|1) 3-\bar{3}$ super-spin chain. Some general conclusions applicable to other WZNW models (in particular the case $k=-1/2$) are also drawn.

[ { "created": "Tue, 14 Nov 2006 10:01:20 GMT", "version": "v1" } ]

2008-11-26

[ [ "Saleur", "Hubert", "" ], [ "Schomerus", "Volker", "" ] ]

Motivated by a careful analysis of the Laplacian on the supergroup $SU(2|1)$ we formulate a proposal for the state space of the $SU(2|1)$ WZNW model. We then use properties of $\hat{sl}(2|1)$ characters to compute the partition function of the theory. In the special case of level $k=1$ the latter is found to agree with the properly regularized partition function for the continuum limit of the integrable $sl(2|1) 3-\bar{3}$ super-spin chain. Some general conclusions applicable to other WZNW models (in particular the case $k=-1/2$) are also drawn.

6.984262

6.136127

7.794044

6.136061

6.600868

6.794018

6.539577

6.678077

6.178644

7.926332

6.258587

6.488717

7.209678

6.459203

6.825898

6.574543

6.500143

6.597979

6.408937

7.137316

6.630971

1911.00496

Boris Altshuler

Boris L. Altshuler

UV-finite "old" conformal bootstrap on AdS: scalar case

17 pages. Replacement is motivated by the important JHEP referee's critical note: elimination of the UV-divergencies of the bubble used in the paper is not a regularization but is a subtraction of infinities in the double-trace deformation of the bubbles. arXiv admin note: text overlap with arXiv:1908.05471

Journal of High Energy Physics, 01 (2020) 137

10.1007/JHEP01(2020)137

null

hep-th

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

The double-trace from UV to IR flow subtraction of infinities used earlier for the UV-convergent calculations of the Witten tadpole diagrams being applied to the bubble self-energy diagrams gives for them the amazingly simple expressions in case of the four-dimensional boundary space. For every $N = 1... 4$ in the $O(N)$ symmetric scalar fields model with the conformal Hubbard-Stratonovich field there are three roots of the "old" conformal bootstrap spectral equations that obey unitarity bound demand.

[ { "created": "Thu, 31 Oct 2019 18:05:52 GMT", "version": "v1" }, { "created": "Tue, 28 Jan 2020 04:40:33 GMT", "version": "v2" } ]

2020-01-30

[ [ "Altshuler", "Boris L.", "" ] ]

The double-trace from UV to IR flow subtraction of infinities used earlier for the UV-convergent calculations of the Witten tadpole diagrams being applied to the bubble self-energy diagrams gives for them the amazingly simple expressions in case of the four-dimensional boundary space. For every $N = 1... 4$ in the $O(N)$ symmetric scalar fields model with the conformal Hubbard-Stratonovich field there are three roots of the "old" conformal bootstrap spectral equations that obey unitarity bound demand.

41.483559

42.419712

45.343719

35.714897

38.367046

40.789242

38.324001

34.90321

40.035217

50.235107

37.685966

37.739571

37.4174

36.472126

37.844711

35.715607

37.800407

34.591457

37.419621

39.857899

35.481018

2208.01530

Grgur \v{S}imuni\'c

Dirac sigma models from gauging the nonlinear sigma models and its BV action

Written for Proceeding in Science, 18 pages

null

hep-th

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

We present the construction of the Dirac sigma models by gauging the 2-dimensional nonlinear sigma models, but also including the possibility of nonminimal coupling to the metric sector. We show that for a large variety of possible cases, the minimal coupling to the metric sector is the only nontrivial possibility. In addition, we present the construction of the classical Batalin-Vilkovisky action for the Dirac sigma models. We follow a direct approach in its construction, by requiring it to be a solution of the classical master equation.

[ { "created": "Tue, 2 Aug 2022 15:31:03 GMT", "version": "v1" } ]

2022-08-03

[ [ "Šimunić", "Grgur", "" ] ]

We present the construction of the Dirac sigma models by gauging the 2-dimensional nonlinear sigma models, but also including the possibility of nonminimal coupling to the metric sector. We show that for a large variety of possible cases, the minimal coupling to the metric sector is the only nontrivial possibility. In addition, we present the construction of the classical Batalin-Vilkovisky action for the Dirac sigma models. We follow a direct approach in its construction, by requiring it to be a solution of the classical master equation.

9.154546

8.937934

9.120677

8.508288

8.934131

8.793601

8.612735

8.59261

8.542473

9.638902

8.508084

8.496821

9.117973

8.774179

8.375211

8.234541

8.419002

8.58046

8.806024

8.662349

8.401669

1402.6330

Jay Armas

Jay Armas, Troels Harmark

Black Holes and Biophysical (Mem)-branes

v2: 5pp, 3 figures, improved introduction, to be published in PRD

Phys. Rev. D 90, 124022 (2014)

10.1103/PhysRevD.90.124022

null

hep-th cond-mat.soft gr-qc

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

We argue that the effective theory describing the long-wavelength dynamics of black branes is the same effective theory that describes the dynamics of biophysical membranes. We improve the phase structure of higher-dimensional black rings by considering finite thickness corrections in this effective theory, showing a striking agreement between our analytical results and recent numerical constructions while simultaneously drawing a parallel between gravity and the effective theory of biophysical membranes.

[ { "created": "Tue, 25 Feb 2014 21:00:25 GMT", "version": "v1" }, { "created": "Wed, 26 Nov 2014 20:03:50 GMT", "version": "v2" } ]

2014-12-10

[ [ "Armas", "Jay", "" ], [ "Harmark", "Troels", "" ] ]

We argue that the effective theory describing the long-wavelength dynamics of black branes is the same effective theory that describes the dynamics of biophysical membranes. We improve the phase structure of higher-dimensional black rings by considering finite thickness corrections in this effective theory, showing a striking agreement between our analytical results and recent numerical constructions while simultaneously drawing a parallel between gravity and the effective theory of biophysical membranes.

18.265356

18.007217

17.645517

17.951487

20.58279

17.27821

19.561661

17.317095

18.192905

17.091114

16.175428

17.32653

16.922571

16.959427

17.556067

16.351267

17.508619

16.670486

16.815224

17.439259

16.666847

hep-th/0510057

Indrajit Mitra

Indrajit Mitra, Raghunath Ratabole and H. S. Sharatchandra

Gauge-invariant dressed fermion propagator in massless QED_3

10 pages; references added; minor changes in text

Phys.Lett.B636:68-74,2006

10.1016/j.physletb.2006.02.068

SINP/TNP/05-24, IMSc/2005/10/24

hep-th cond-mat.supr-con hep-ph

null

The infrared behaviour of the gauge-invariant dressed fermion propagator in massless QED_3 is discussed for three choices of dressing. It is found that only the propagator with the isotropic (in three Euclidean dimensions) choice of dressing is acceptable as the physical fermion propagator. It is explained that the negative anomalous dimension of this physical fermion does not contradict any field-theoretical requirement.

[ { "created": "Thu, 6 Oct 2005 14:11:31 GMT", "version": "v1" }, { "created": "Wed, 26 Oct 2005 13:46:35 GMT", "version": "v2" } ]

2008-11-26

[ [ "Mitra", "Indrajit", "" ], [ "Ratabole", "Raghunath", "" ], [ "Sharatchandra", "H. S.", "" ] ]

The infrared behaviour of the gauge-invariant dressed fermion propagator in massless QED_3 is discussed for three choices of dressing. It is found that only the propagator with the isotropic (in three Euclidean dimensions) choice of dressing is acceptable as the physical fermion propagator. It is explained that the negative anomalous dimension of this physical fermion does not contradict any field-theoretical requirement.

10.601551

11.053848

10.025581

9.67555

9.630724

9.309314

9.5312

9.093063

9.276234

11.185716

9.592943

8.967459

9.313044

8.867569

9.262358

9.546493

8.845203

9.071494

9.130501

9.243279

9.043826

hep-th/0205138

Kamal Lochan Panigrahi

Anindya Biswas, Kamal Lochan Panigrahi

Intersecting Membranes from Charged Macroscopic Strings

9 pages, latex, to appear in Mod. Phys. Letts. A

Mod.Phys.Lett. A17 (2002) 1297-1304

10.1142/S0217732302007132

null

hep-th

null

We present a class of orthogonal membrane configurations which preserve 1/4 of the full type IIA supersymmetry. These membrane configurations carry additional F-string charges. We further analyze the D1-D3 configuration after applying T- duality along the world volume directions of the above orthogonal membranes.

[ { "created": "Tue, 14 May 2002 17:53:01 GMT", "version": "v1" } ]

2009-11-07

[ [ "Biswas", "Anindya", "" ], [ "Panigrahi", "Kamal Lochan", "" ] ]

We present a class of orthogonal membrane configurations which preserve 1/4 of the full type IIA supersymmetry. These membrane configurations carry additional F-string charges. We further analyze the D1-D3 configuration after applying T- duality along the world volume directions of the above orthogonal membranes.

20.534994

14.442349

21.215239

16.056435

19.254032

13.811998

13.441698

15.46491

15.282752

21.983589

14.006995

15.49179

18.021214

15.315076

15.958505

15.635513

15.263216

14.615323

15.544331

17.692318

15.205139

1610.04233

Pinaki Banerjee

Pinaki Banerjee, Atanu Bhatta and B. Sathiapalan

Sine-Gordon Theory : Entanglement entropy and holography

34 pages, 7 figures; v2 : analysis generalized to finite sub-systems, computation using twist fields added as an appendix, references added, matches version to be published in Phys. Rev. D

Phys. Rev. D 96, 126014 (2017)

10.1103/PhysRevD.96.126014

IMSc/2016/10/05

hep-th cond-mat.str-el gr-qc

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

We compute change in entanglement entropy for a single interval in $1+1$ dimensional sine-Gordon model perturbatively in the coupling. The sine-Gordon perturbation can be thought of as deformation of the free CFT by a primary operator with dimension $\Delta$. In an independent computation we calculate holographic entanglement entropy for that interval from three dimensional bulk AdS which has a massive scalar with its mass satisfying $m^2= \Delta(\Delta-2)$. We show that the two results match for near-marginal perturbations upto leading order in the coupling.

[ { "created": "Thu, 13 Oct 2016 20:00:01 GMT", "version": "v1" }, { "created": "Wed, 6 Dec 2017 17:11:43 GMT", "version": "v2" } ]

2017-12-29

[ [ "Banerjee", "Pinaki", "" ], [ "Bhatta", "Atanu", "" ], [ "Sathiapalan", "B.", "" ] ]

We compute change in entanglement entropy for a single interval in $1+1$ dimensional sine-Gordon model perturbatively in the coupling. The sine-Gordon perturbation can be thought of as deformation of the free CFT by a primary operator with dimension $\Delta$. In an independent computation we calculate holographic entanglement entropy for that interval from three dimensional bulk AdS which has a massive scalar with its mass satisfying $m^2= \Delta(\Delta-2)$. We show that the two results match for near-marginal perturbations upto leading order in the coupling.

8.795012

8.903118

9.294271

8.021079

8.248384

7.844965

8.095216

7.364621

8.077131

9.444834

7.656496

7.600667

8.388241

7.651472

7.907783

7.828917

7.695886

7.945454

7.78917

8.115274

7.636502

hep-th/9611054

Brandon Carter

Brandon Carter (D.A.R.C., Obs. Paris-Meudon.)

Dynamics of Cosmic Strings and other Brane models

54 pages Latex

lectures in Formation and Interactions of Topological Defects, NATO ASI B349, ed A.-C. Davis, R. Brandenberger, pp 303-348 (Plenum, New York, 1995)

null

obspm-95029

hep-th

null

The supporting worldsheet of a string, membrane, or other higher dimensional brane, is analysed in terms of its first, second, and third fundamental tensors, and its inner and outer curvature tensors. The dynamical equations governing the models appropriate for phenomena such as (superconducting) cosmic strings and cosmic domain walls are developed in a general framework (allowing for both electromagnetic and Kalb Ramond background coupling). It is shown how the surface stress momentum energy density tensor determines the propagation characteristics of small ``wiggle" perturbations of the worldsheet. Attention is then focussed on special features of strings (using the transonic model with tension T inversely proportional to the energy density U as a particularly important example). A quadratic Hamilton-Jacobi formulation is shown to govern equilibium states and other conservative string configurations sharing a symmetry of the (gravitational, electromagnetic, and Kalb-Ramond) background, including stable ring states that may be cosmologically important.

[ { "created": "Fri, 8 Nov 1996 09:09:50 GMT", "version": "v1" } ]

2007-05-23

[ [ "Carter", "Brandon", "", "D.A.R.C., Obs. Paris-Meudon." ] ]

The supporting worldsheet of a string, membrane, or other higher dimensional brane, is analysed in terms of its first, second, and third fundamental tensors, and its inner and outer curvature tensors. The dynamical equations governing the models appropriate for phenomena such as (superconducting) cosmic strings and cosmic domain walls are developed in a general framework (allowing for both electromagnetic and Kalb Ramond background coupling). It is shown how the surface stress momentum energy density tensor determines the propagation characteristics of small ``wiggle" perturbations of the worldsheet. Attention is then focussed on special features of strings (using the transonic model with tension T inversely proportional to the energy density U as a particularly important example). A quadratic Hamilton-Jacobi formulation is shown to govern equilibium states and other conservative string configurations sharing a symmetry of the (gravitational, electromagnetic, and Kalb-Ramond) background, including stable ring states that may be cosmologically important.

18.727127

20.558842

19.009605

18.879408

22.036003

19.44726

19.794806

19.179243

19.728441

19.677896

19.055378

18.094908

18.069313

18.172756

18.529411

18.631746

18.648611

18.675829

18.603395

18.935755

19.327723

2104.03902

William J. Cunningham

Stephon Alexander, William J. Cunningham, Jaron Lanier, Lee Smolin, Stefan Stanojevic, Michael W. Toomey, Dave Wecker

The Autodidactic Universe

79 pages, 11 figures

null

hep-th cs.AI cs.LG gr-qc physics.hist-ph quant-ph

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

We present an approach to cosmology in which the Universe learns its own physical laws. It does so by exploring a landscape of possible laws, which we express as a certain class of matrix models. We discover maps that put each of these matrix models in correspondence with both a gauge/gravity theory and a mathematical model of a learning machine, such as a deep recurrent, cyclic neural network. This establishes a correspondence between each solution of the physical theory and a run of a neural network. This correspondence is not an equivalence, partly because gauge theories emerge from $N \rightarrow \infty $ limits of the matrix models, whereas the same limits of the neural networks used here are not well-defined. We discuss in detail what it means to say that learning takes place in autodidactic systems, where there is no supervision. We propose that if the neural network model can be said to learn without supervision, the same can be said for the corresponding physical theory. We consider other protocols for autodidactic physical systems, such as optimization of graph variety, subset-replication using self-attention and look-ahead, geometrogenesis guided by reinforcement learning, structural learning using renormalization group techniques, and extensions. These protocols together provide a number of directions in which to explore the origin of physical laws based on putting machine learning architectures in correspondence with physical theories.

[ { "created": "Mon, 29 Mar 2021 02:25:02 GMT", "version": "v1" }, { "created": "Thu, 2 Sep 2021 13:20:52 GMT", "version": "v2" } ]

2021-09-03

[ [ "Alexander", "Stephon", "" ], [ "Cunningham", "William J.", "" ], [ "Lanier", "Jaron", "" ], [ "Smolin", "Lee", "" ], [ "Stanojevic", "Stefan", "" ], [ "Toomey", "Michael W.", "" ], [ "Wecker", "Dave", "" ] ]

We present an approach to cosmology in which the Universe learns its own physical laws. It does so by exploring a landscape of possible laws, which we express as a certain class of matrix models. We discover maps that put each of these matrix models in correspondence with both a gauge/gravity theory and a mathematical model of a learning machine, such as a deep recurrent, cyclic neural network. This establishes a correspondence between each solution of the physical theory and a run of a neural network. This correspondence is not an equivalence, partly because gauge theories emerge from $N \rightarrow \infty $ limits of the matrix models, whereas the same limits of the neural networks used here are not well-defined. We discuss in detail what it means to say that learning takes place in autodidactic systems, where there is no supervision. We propose that if the neural network model can be said to learn without supervision, the same can be said for the corresponding physical theory. We consider other protocols for autodidactic physical systems, such as optimization of graph variety, subset-replication using self-attention and look-ahead, geometrogenesis guided by reinforcement learning, structural learning using renormalization group techniques, and extensions. These protocols together provide a number of directions in which to explore the origin of physical laws based on putting machine learning architectures in correspondence with physical theories.

15.315051

18.046896

15.940001

15.311002

16.739689

17.300367

17.639763

17.013872

16.836182

17.947622

15.326071

15.930047

14.987975

15.015411

15.272444

15.286553

15.253459

15.569202

15.572021

15.55479

15.126437

2212.09758

Alessandro Mininno

Cesar Fierro Cota, Alessandro Mininno, Timo Weigand, Max Wiesner

The Asymptotic Weak Gravity Conjecture in M-theory

v3: Added references, JHEP accepted, 50 pages

null

10.1007/JHEP08(2023)057

ZMP-HH/22-23

hep-th

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

The tower Weak Gravity Conjecture predicts infinitely many super-extremal states along every ray in the charge lattice of a consistent quantum gravity theory. We show this far-reaching claim in five-dimensional compactifications of M-theory on Calabi--Yau 3-folds for gauge groups with a weak coupling limit. We first characterize the possible weak coupling limits, building on an earlier classification of infinite distance limits in the K\"ahler moduli space of M-theory compactifications. We find that weakly coupled gauge groups are associated to curves on the compactification space contained in generic fibers or in fibers degenerating at finite distance in their moduli space. These always admit an interpretation as a Kaluza--Klein or winding U$(1)$ in a dual frame or as part of a dual perturbative heterotic gauge group, in agreement with the Emergent String Conjecture. Using the connection between Donaldson--Thomas invariants and Noether--Lefschetz theory, we then show that every ray in the associated charge lattice either supports a tower of BPS states or of non-BPS states, and prove that these satisfy the super-extremality condition, at least in the weak coupling regime.

[ { "created": "Mon, 19 Dec 2022 19:00:00 GMT", "version": "v1" }, { "created": "Fri, 27 Jan 2023 14:23:54 GMT", "version": "v2" }, { "created": "Sat, 12 Aug 2023 10:41:15 GMT", "version": "v3" } ]

2023-08-15

[ [ "Cota", "Cesar Fierro", "" ], [ "Mininno", "Alessandro", "" ], [ "Weigand", "Timo", "" ], [ "Wiesner", "Max", "" ] ]

The tower Weak Gravity Conjecture predicts infinitely many super-extremal states along every ray in the charge lattice of a consistent quantum gravity theory. We show this far-reaching claim in five-dimensional compactifications of M-theory on Calabi--Yau 3-folds for gauge groups with a weak coupling limit. We first characterize the possible weak coupling limits, building on an earlier classification of infinite distance limits in the K\"ahler moduli space of M-theory compactifications. We find that weakly coupled gauge groups are associated to curves on the compactification space contained in generic fibers or in fibers degenerating at finite distance in their moduli space. These always admit an interpretation as a Kaluza--Klein or winding U$(1)$ in a dual frame or as part of a dual perturbative heterotic gauge group, in agreement with the Emergent String Conjecture. Using the connection between Donaldson--Thomas invariants and Noether--Lefschetz theory, we then show that every ray in the associated charge lattice either supports a tower of BPS states or of non-BPS states, and prove that these satisfy the super-extremality condition, at least in the weak coupling regime.

9.812154

9.004884

11.501171

8.639519

9.183157

8.857934

9.338889

8.918876

8.771895

11.37857

8.80462

8.993006

9.687965

8.880484

8.980284

9.425924

8.970504

9.215321

8.841594

9.835808

8.863008

1501.00987

Eric R. Sharpe

J. Guo, B. Jia, E. Sharpe

Chiral operators in two-dimensional (0,2) theories and a test of triality

51 pages, LaTeX. v2: minor revisions. v3: some references added

JHEP 06 (2015) 201

10.1007/JHEP06(2015)201

UTTG-01-15

hep-th

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

In this paper we compute spaces of chiral operators in general two-dimensional (0,2) nonlinear sigma models, both in theories twistable to the A/2 or B/2 model, as well as in non-twistable theories, and apply them to check recent duality conjectures. The fact that in a nonlinear sigma model, the Fock vacuum can act as a section of a line bundle on the target space plays a crucial role in our (0,2) computations, so we begin with a review of this property. We also take this opportunity to show how even in (2,2) theories, the Fock vacuum encodes in this way choices of target space spin structures, and discuss how such choices enter the A and B model topological field theories. We then compute chiral operators in general (0,2) nonlinear sigma models, and apply them to test the recent Gadde-Gukov-Putrov triality proposal, which says that certain triples of (0,2) GLSMs should RG flow to nontrivial IR fixed points. We find that different UV theories in the same proposed universality class do not necessarily have the same space of chiral operators -- but, the mismatched operators do not contribute to elliptic genera and are in non-integrable representations of the proposed IR affine symmetry groups, suggesting that the mismatched states become massive along RG flow. We find this state matching in examples not only of different geometric phases of the same GLSMs, but also in phases of different GLSMs, indirectly verifying the triality proposal, and giving a clean demonstration that (0,2) chiral rings are not topologically protected. We also check proposals for enhanced IR affine E_6 symmetries in one such model, verifying that (matching) chiral states in phases of corresponding GLSMs transform as 27s, 27^*s.

[ { "created": "Mon, 5 Jan 2015 21:00:15 GMT", "version": "v1" }, { "created": "Sat, 13 Jun 2015 00:21:06 GMT", "version": "v2" }, { "created": "Tue, 23 Jun 2015 12:49:48 GMT", "version": "v3" } ]

2015-07-07

[ [ "Guo", "J.", "" ], [ "Jia", "B.", "" ], [ "Sharpe", "E.", "" ] ]

In this paper we compute spaces of chiral operators in general two-dimensional (0,2) nonlinear sigma models, both in theories twistable to the A/2 or B/2 model, as well as in non-twistable theories, and apply them to check recent duality conjectures. The fact that in a nonlinear sigma model, the Fock vacuum can act as a section of a line bundle on the target space plays a crucial role in our (0,2) computations, so we begin with a review of this property. We also take this opportunity to show how even in (2,2) theories, the Fock vacuum encodes in this way choices of target space spin structures, and discuss how such choices enter the A and B model topological field theories. We then compute chiral operators in general (0,2) nonlinear sigma models, and apply them to test the recent Gadde-Gukov-Putrov triality proposal, which says that certain triples of (0,2) GLSMs should RG flow to nontrivial IR fixed points. We find that different UV theories in the same proposed universality class do not necessarily have the same space of chiral operators -- but, the mismatched operators do not contribute to elliptic genera and are in non-integrable representations of the proposed IR affine symmetry groups, suggesting that the mismatched states become massive along RG flow. We find this state matching in examples not only of different geometric phases of the same GLSMs, but also in phases of different GLSMs, indirectly verifying the triality proposal, and giving a clean demonstration that (0,2) chiral rings are not topologically protected. We also check proposals for enhanced IR affine E_6 symmetries in one such model, verifying that (matching) chiral states in phases of corresponding GLSMs transform as 27s, 27^*s.

8.475926

9.90664

11.824699

9.032236

9.16126

9.784704

9.21807

9.378694

8.723338

10.985172

9.029398

8.869737

9.322249

8.966817

8.685258

8.988178

8.92019

8.955058

8.907146

9.398473

8.788444

2201.07279

Latham Boyle

Neil Turok, Latham Boyle

Gravitational entropy and the flatness, homogeneity and isotropy puzzles

5 pages, 4 figures

null

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

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

We suggest a new explanation for the observed large scale flatness, homogeneity and isotropy of the universe. The basic ingredients are elementary and well-known, namely Einstein's theory of gravity and Hawking's method of computing gravitational entropy. The new twist is provided by the boundary conditions we recently proposed for "big bang" type singularities dominated by conformal matter, enforcing $CPT$ symmetry and analyticity. Here, we show that, besides allowing us to describe the big bang, these boundary conditions allow new gravitational instantons, enabling us to calculate the gravitational entropy of cosmologies which include radiation, dark energy and space curvature of either sign. We find the gravitational entropy of these universes, $S_g \sim S_\Lambda^{1/ 4} S_r$, where $S_\Lambda$ is the famous de Sitter entropy and $S_r$ is the total entropy in radiation. To the extent that $S_g$ exceeds $S_\Lambda$, the most probable universe is flat. By analysing the perturbations about our new instantons, we argue it is also homogeneous and isotropic on large scales.

[ { "created": "Tue, 18 Jan 2022 19:27:32 GMT", "version": "v1" } ]

2022-01-20

[ [ "Turok", "Neil", "" ], [ "Boyle", "Latham", "" ] ]

We suggest a new explanation for the observed large scale flatness, homogeneity and isotropy of the universe. The basic ingredients are elementary and well-known, namely Einstein's theory of gravity and Hawking's method of computing gravitational entropy. The new twist is provided by the boundary conditions we recently proposed for "big bang" type singularities dominated by conformal matter, enforcing $CPT$ symmetry and analyticity. Here, we show that, besides allowing us to describe the big bang, these boundary conditions allow new gravitational instantons, enabling us to calculate the gravitational entropy of cosmologies which include radiation, dark energy and space curvature of either sign. We find the gravitational entropy of these universes, $S_g \sim S_\Lambda^{1/ 4} S_r$, where $S_\Lambda$ is the famous de Sitter entropy and $S_r$ is the total entropy in radiation. To the extent that $S_g$ exceeds $S_\Lambda$, the most probable universe is flat. By analysing the perturbations about our new instantons, we argue it is also homogeneous and isotropic on large scales.

9.12677

10.162758

9.68368

9.872048

9.710411

10.034351

10.836386

10.070831

9.783493

10.199163

9.852736

9.129149

9.626497

9.221057

9.108671

9.532922

9.351399

9.623695

9.356976

9.365649

9.32021

hep-th/0202053

Bodo Geyer

B. Geyer and D. M"ulsch

Topological gauge theories with antisymmetric tensor matter fields

Latex, 17 pages; refinement of an argument, addition of a footnote

Phys.Lett. B535 (2002) 349-357

10.1016/S0370-2693(02)01737-9

null

hep-th

null

A new type of topological matter interactions involving second-rank antisymmetric tensor matter fields with an underlying $N_T \geq 1$ topological supersymmetry are proposed. The construction of the 4-dimensional, $N_T = 1$ Donaldson-Witten theory, the $N_T = 1$ super-BF model and the $N_T = 2$ topological B-model with tensor matter are explicitly worked out.

[ { "created": "Fri, 8 Feb 2002 10:16:01 GMT", "version": "v1" }, { "created": "Thu, 14 Feb 2002 14:59:44 GMT", "version": "v2" } ]

2009-11-07

[ [ "Geyer", "B.", "" ], [ "M\"ulsch", "D.", "" ] ]

A new type of topological matter interactions involving second-rank antisymmetric tensor matter fields with an underlying $N_T \geq 1$ topological supersymmetry are proposed. The construction of the 4-dimensional, $N_T = 1$ Donaldson-Witten theory, the $N_T = 1$ super-BF model and the $N_T = 2$ topological B-model with tensor matter are explicitly worked out.

10.000256

7.334331

9.085256

7.959044

8.015377

8.374376

8.00123

8.250966

7.695708

9.784467

7.722998

8.335007

9.211384

8.270198

8.633609

8.58902

8.678622

8.633081

8.459713

9.259892

8.569736

2103.06893

Masamichi Miyaji

Masamichi Miyaji, Tadashi Takayanagi, Tomonori Ugajin

Spectrum of End of the World Branes in Holographic BCFTs

22 pages, 4 figures

null

10.1007/JHEP06(2021)023

YITP-21-19, IPMU21-0017

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

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

We study overlaps between two regularized boundary states in conformal field theories. Regularized boundary states are dual to end of the world branes in an AdS black hole via the AdS/BCFT. Thus they can be regarded as microstates of a single sided black hole. Owing to the open-closed duality, such an overlap between two different regularized boundary states is exponentially suppressed as $\langle \psi_{a} | \psi_{b} \rangle \sim e^{-O(h^{(min)}_{ab})}$, where $h^{(min)}_{ab}$ is the lowest energy of open strings which connect two different boundaries $a$ and $b$. Our gravity dual analysis leads to $h^{(min)}_{ab} = c/24$ for a pure AdS$_3$ gravity. This shows that a holographic boundary state is a random vector among all left-right symmetric states, whose number is given by a square root of the number of all black hole microstates. We also perform a similar computation in higher dimensions, and find that $h^{( min)}_{ab}$ depends on the tensions of the branes. In our analysis of holographic boundary states, the off diagonal elements of the inner products can be computed directly from on-shell gravity actions, as opposed to earlier calculations of inner products of microstates in two dimensional gravity.

[ { "created": "Thu, 11 Mar 2021 19:00:02 GMT", "version": "v1" }, { "created": "Thu, 10 Jun 2021 00:50:16 GMT", "version": "v2" } ]

2021-06-30

[ [ "Miyaji", "Masamichi", "" ], [ "Takayanagi", "Tadashi", "" ], [ "Ugajin", "Tomonori", "" ] ]

We study overlaps between two regularized boundary states in conformal field theories. Regularized boundary states are dual to end of the world branes in an AdS black hole via the AdS/BCFT. Thus they can be regarded as microstates of a single sided black hole. Owing to the open-closed duality, such an overlap between two different regularized boundary states is exponentially suppressed as $\langle \psi_{a} | \psi_{b} \rangle \sim e^{-O(h^{(min)}_{ab})}$, where $h^{(min)}_{ab}$ is the lowest energy of open strings which connect two different boundaries $a$ and $b$. Our gravity dual analysis leads to $h^{(min)}_{ab} = c/24$ for a pure AdS$_3$ gravity. This shows that a holographic boundary state is a random vector among all left-right symmetric states, whose number is given by a square root of the number of all black hole microstates. We also perform a similar computation in higher dimensions, and find that $h^{( min)}_{ab}$ depends on the tensions of the branes. In our analysis of holographic boundary states, the off diagonal elements of the inner products can be computed directly from on-shell gravity actions, as opposed to earlier calculations of inner products of microstates in two dimensional gravity.

8.134233

8.294206

9.61245

7.986157

8.373806

7.847627

8.269891

7.990678

7.968165

9.753292

7.360729

7.74173

7.918991

7.54255

7.681203

7.714086

7.959157

7.65416

7.722823

8.473225

7.828857

1208.0020

Daniel Thompson

David S. Berman, Edvard T. Musaev and Daniel C. Thompson

Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions

22 pages Latex; v2: typos corrected and references added

null

10.1007/JHEP10(2012)174

null

hep-th

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

We consider the reduction of the duality invariant approach to M-theory by a U-duality group valued Scherk-Schwarz twist. The result is to produce potentials for gauged supergravities that are normally associated with non-geometric compactifications. The local symmetry reduces to gauge transformations with the gaugings exactly matching those of the embedding tensor approach to gauged supergravity. Importantly, this approach now includes a nontrivial dependence of the fields on the extra coordinates of the extended space.

[ { "created": "Tue, 31 Jul 2012 20:01:52 GMT", "version": "v1" }, { "created": "Sat, 20 Oct 2012 15:54:39 GMT", "version": "v2" } ]

2015-06-05

[ [ "Berman", "David S.", "" ], [ "Musaev", "Edvard T.", "" ], [ "Thompson", "Daniel C.", "" ] ]

We consider the reduction of the duality invariant approach to M-theory by a U-duality group valued Scherk-Schwarz twist. The result is to produce potentials for gauged supergravities that are normally associated with non-geometric compactifications. The local symmetry reduces to gauge transformations with the gaugings exactly matching those of the embedding tensor approach to gauged supergravity. Importantly, this approach now includes a nontrivial dependence of the fields on the extra coordinates of the extended space.

11.536824

10.116348

14.019151

10.164423

10.899529

10.309509

11.433985

9.453683

10.44902

16.273466

9.992726

10.462729

11.440503

10.661129

10.078592

10.922812

10.979099

10.512755

10.750897

11.743221

10.342505

1209.4885

Dario Francia

Generalised connections and higher-spin equations

12 pages, minor changes

Class.Quant.Grav. 29 (2012) 245003

10.1088/0264-9381/29/24/245003

null

hep-th

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

We consider high-derivative equations obtained setting to zero the divergence of the higher-spin curvatures in metric-like form, showing their equivalence to the second-order equations emerging from the tensionless limit of open string field theory, which propagate reducible spectra of particles with different spins. This result can be viewed as complementary to the possibility of setting to zero a single trace of the higher-spin field strengths, which yields an equation known to imply Fronsdal's equation in the compensator form. Higher traces and divergences of the curvatures produce a whole pattern of high-derivative equations whose systematics is also presented.

[ { "created": "Fri, 21 Sep 2012 19:07:23 GMT", "version": "v1" }, { "created": "Thu, 15 Nov 2012 21:07:15 GMT", "version": "v2" } ]

2012-11-19

[ [ "Francia", "Dario", "" ] ]

We consider high-derivative equations obtained setting to zero the divergence of the higher-spin curvatures in metric-like form, showing their equivalence to the second-order equations emerging from the tensionless limit of open string field theory, which propagate reducible spectra of particles with different spins. This result can be viewed as complementary to the possibility of setting to zero a single trace of the higher-spin field strengths, which yields an equation known to imply Fronsdal's equation in the compensator form. Higher traces and divergences of the curvatures produce a whole pattern of high-derivative equations whose systematics is also presented.

15.541121

14.504083

18.240355

14.049385

14.199647

13.859074

13.18457

13.266174

13.916402

19.515463

13.896111

13.60927

14.317914

13.862847

13.924755

13.596169

13.95479

13.915987

14.243261

14.76949

14.035266