LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2309.03938

David Andriot

David Andriot, Dimitrios Tsimpis, Timm Wrase

Accelerated expansion of an open universe, and string theory realizations

v2: 38 pages, few additions. As ancillary file we provide the notebook allowing to reproduce all Figures, in particular the complete cosmological solutions

null

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

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

Recently, many works have tried to realize cosmological accelerated expansion in string theory models in the asymptotic regions of field space, with a typical scalar potential $V(\varphi)$ having an exponential fall-off $e^{-\gamma\, \varphi}$. Those attempts have been plagued by the fact that $V$ is too steep, namely $\gamma \geq 2/\sqrt{d-2}$ in a $d$-dimensional spacetime. We revisit the corresponding dynamical system for arbitrary $d$ and $\gamma$, and show that for an open universe ($k=-1$), there exists a new stable fixed point $P_1$ precisely if $\gamma > 2/\sqrt{d-2}$. Building on the recent work arXiv:2210.10813, we show in addition that cosmological solutions asymptoting to $P_1$ exhibit accelerated expansion in various fashions (semi-eternal, eternal, transient with parametrically controlled number of e-folds, or rollercoaster). We finally present realizations in string theory of these cosmological models with asymptotically accelerating solutions, for $d=4$ or $d=10$. We also show that these solutions do not admit a cosmological event horizon, and discuss the possibility of this being a generic feature of quantum gravity.

[ { "created": "Thu, 7 Sep 2023 18:00:00 GMT", "version": "v1" }, { "created": "Thu, 16 Nov 2023 08:53:18 GMT", "version": "v2" } ]

2023-11-17

[ [ "Andriot", "David", "" ], [ "Tsimpis", "Dimitrios", "" ], [ "Wrase", "Timm", "" ] ]

Recently, many works have tried to realize cosmological accelerated expansion in string theory models in the asymptotic regions of field space, with a typical scalar potential $V(\varphi)$ having an exponential fall-off $e^{-\gamma\, \varphi}$. Those attempts have been plagued by the fact that $V$ is too steep, namely $\gamma \geq 2/\sqrt{d-2}$ in a $d$-dimensional spacetime. We revisit the corresponding dynamical system for arbitrary $d$ and $\gamma$, and show that for an open universe ($k=-1$), there exists a new stable fixed point $P_1$ precisely if $\gamma > 2/\sqrt{d-2}$. Building on the recent work arXiv:2210.10813, we show in addition that cosmological solutions asymptoting to $P_1$ exhibit accelerated expansion in various fashions (semi-eternal, eternal, transient with parametrically controlled number of e-folds, or rollercoaster). We finally present realizations in string theory of these cosmological models with asymptotically accelerating solutions, for $d=4$ or $d=10$. We also show that these solutions do not admit a cosmological event horizon, and discuss the possibility of this being a generic feature of quantum gravity.

8.938134

8.073076

8.845311

7.961843

8.187241

8.134275

8.403478

7.909094

7.879178

9.572064

8.129272

8.10521

8.515026

8.346782

8.497024

8.424369

8.091274

8.2486

8.314336

8.499277

8.226123

2106.15184

Fran\c{c}ois Rondeau

Ignatios Antoniadis, Chrysoula Markou, Fran\c{c}ois Rondeau

Aspects of compactification on a linear dilaton background

50 pages. Published version

J. High Energ. Phys. 2021, 137 (2021)

10.1007/JHEP09(2021)137

MPP-2021-102

hep-th

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

We consider the most general Kaluza-Klein (KK) compactification on $S^1/\mathbb{Z}_2$ of a five dimensional ($5D$) graviton-dilaton system, with a non-vanishing dilaton background varying linearly along the fifth dimension. We show that this background produces a Higgs mechanism for the KK vector coming from the $5D$ metric, which becomes massive by absorbing the string frame radion. The $\mathcal{N}=2$ minimal supersymmetric extension of this model, recently built as the holographic dual of Little String Theory, is then re-investigated. An analogous mechanism can be considered for the $4D$ vector coming from the (universal) $5D$ Kalb-Ramond two-form. Packaging the two massive vectors into a spin-$3/2$ massive multiplet, it is shown that the massless spectrum arranges into a $\mathcal{N}=1$, $D=4$ supersymmetric theory. This projection is compatible with an orbifold which preserves half of the original supersymmetries already preserved by the background. The description of the partial breaking $\mathcal{N}=2\rightarrow\mathcal{N}=1$ in this framework, with only vector multiplets and no hypermultiplets, remains an interesting open question which deserves further investigation.

[ { "created": "Tue, 29 Jun 2021 09:02:47 GMT", "version": "v1" }, { "created": "Wed, 29 Sep 2021 13:24:19 GMT", "version": "v2" } ]

2021-09-30

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

We consider the most general Kaluza-Klein (KK) compactification on $S^1/\mathbb{Z}_2$ of a five dimensional ($5D$) graviton-dilaton system, with a non-vanishing dilaton background varying linearly along the fifth dimension. We show that this background produces a Higgs mechanism for the KK vector coming from the $5D$ metric, which becomes massive by absorbing the string frame radion. The $\mathcal{N}=2$ minimal supersymmetric extension of this model, recently built as the holographic dual of Little String Theory, is then re-investigated. An analogous mechanism can be considered for the $4D$ vector coming from the (universal) $5D$ Kalb-Ramond two-form. Packaging the two massive vectors into a spin-$3/2$ massive multiplet, it is shown that the massless spectrum arranges into a $\mathcal{N}=1$, $D=4$ supersymmetric theory. This projection is compatible with an orbifold which preserves half of the original supersymmetries already preserved by the background. The description of the partial breaking $\mathcal{N}=2\rightarrow\mathcal{N}=1$ in this framework, with only vector multiplets and no hypermultiplets, remains an interesting open question which deserves further investigation.

6.517982

6.83905

7.221906

6.554556

6.803212

6.571768

6.772047

6.516552

6.504397

7.720832

6.447827

6.319002

6.729382

6.29546

6.472338

6.596485

6.516654

6.499631

6.404276

6.675581

6.386596

2304.10055

Yutaka Hosotani

Holography in anomaly flow in orbifold gauge theory

17 pages, 7 figures, proceeding for Corfu Summer Institute 2022, minor corrections in references

null

OU-HET-1179

hep-th hep-ph

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

In orbifold gauge theory and gauge-Higgs unification models, gauge anomaly flows with an Aharonov-Bohm phase $\theta_H$ in the fifth dimension. We analyze $SU(2)$ gauge theory with doublet fermions in the flat $M^4 \times (S^1/Z_2)$ spacetime and in the Randall-Sundrum (RS) warped space. With orbifold boundary conditions the $U(1)$ part of gauge symmetry remains unbroken at $\theta_H = 0$ and $\pi$. Chiral anomalies smoothly vary with $\theta_H$ in the RS space. Anomaly coefficients associated with this anomaly flow are expressed in terms of the values of the wave functions of gauge fields at the UV and IR branes in the RS space and parity conditions of fermion fields. Holography in anomaly flow is observed. Conditions for the anomaly cancellation turn out independent of $\theta_H$.

[ { "created": "Thu, 20 Apr 2023 02:39:15 GMT", "version": "v1" }, { "created": "Wed, 24 May 2023 03:38:25 GMT", "version": "v2" } ]

2023-05-25

[ [ "Hosotani", "Yutaka", "" ] ]

In orbifold gauge theory and gauge-Higgs unification models, gauge anomaly flows with an Aharonov-Bohm phase $\theta_H$ in the fifth dimension. We analyze $SU(2)$ gauge theory with doublet fermions in the flat $M^4 \times (S^1/Z_2)$ spacetime and in the Randall-Sundrum (RS) warped space. With orbifold boundary conditions the $U(1)$ part of gauge symmetry remains unbroken at $\theta_H = 0$ and $\pi$. Chiral anomalies smoothly vary with $\theta_H$ in the RS space. Anomaly coefficients associated with this anomaly flow are expressed in terms of the values of the wave functions of gauge fields at the UV and IR branes in the RS space and parity conditions of fermion fields. Holography in anomaly flow is observed. Conditions for the anomaly cancellation turn out independent of $\theta_H$.

9.219721

9.470499

8.271843

8.348948

8.875357

9.141739

8.567699

9.0871

7.937357

8.632248

9.01049

9.14362

8.599622

8.555087

9.042429

9.144623

8.917822

8.999466

8.432837

8.745847

8.794113

2312.02127

Diptarka Das

Diptarka Das, Santanu Mandal, Anurag Sarkar

Chaotic and Thermal Aspects in the Highly Excited String S-Matrix

45 pages, 14 figures, References and numerical analysis updated, presentation improved, matches JHEP accepted version

null

hep-th cond-mat.stat-mech nlin.CD

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

We compute tree level scattering amplitudes involving more than one highly excited states and tachyons in bosonic string theory. We use these amplitudes to understand chaotic and thermal aspects of the excited string states lending support to the Susskind-Horowitz-Polchinski correspondence principle. The unaveraged amplitudes exhibit chaos in the resonance distribution as a function of kinematic parameters, which can be described by random matrix theory. Upon coarse-graining these amplitudes are shown to exponentiate, and capture various thermal features, including features of a stringy version of the eigenstate thermalization hypothesis as well as notions of typicality. Further, we compute the effective string form factor corresponding to the highly excited states, and argue for the random walk behaviour of the long strings.

[ { "created": "Mon, 4 Dec 2023 18:53:39 GMT", "version": "v1" }, { "created": "Mon, 18 Dec 2023 18:33:48 GMT", "version": "v2" }, { "created": "Thu, 8 Aug 2024 14:46:44 GMT", "version": "v3" } ]

2024-08-09

[ [ "Das", "Diptarka", "" ], [ "Mandal", "Santanu", "" ], [ "Sarkar", "Anurag", "" ] ]

We compute tree level scattering amplitudes involving more than one highly excited states and tachyons in bosonic string theory. We use these amplitudes to understand chaotic and thermal aspects of the excited string states lending support to the Susskind-Horowitz-Polchinski correspondence principle. The unaveraged amplitudes exhibit chaos in the resonance distribution as a function of kinematic parameters, which can be described by random matrix theory. Upon coarse-graining these amplitudes are shown to exponentiate, and capture various thermal features, including features of a stringy version of the eigenstate thermalization hypothesis as well as notions of typicality. Further, we compute the effective string form factor corresponding to the highly excited states, and argue for the random walk behaviour of the long strings.

13.58223

12.247303

15.041177

11.892581

13.064126

12.128852

11.988042

11.071137

11.250419

14.749812

11.482869

11.904048

13.819463

12.561665

12.560331

12.105948

12.069719

12.360508

12.514132

13.928741

12.452147

2007.11333

Flavio Tonioni

Susha Parameswaran, Flavio Tonioni

Non-supersymmetric String Models from Anti-D3-/D7-branes in Strongly Warped Throats

72 pages + 3 appendices + references, 3 figures; v2: JHEP version, references and clarifications added, typos corrected; v3: corrections in app. B.3 and sssec. 4.3.2 (with corresponding edits, main conclusions unchanged), clarification in sssec. 5.1.1

Journal of High Energy Physics volume 2020, Article number: 174 (2020)

10.1007/JHEP12(2020)174

null

hep-th

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

This article discusses model-building scenarios including anti-D3-/D7-branes, in which supersymmetry is broken spontaneously, despite having no scale at which sparticles appear and standard supersymmetry is restored. If the branes are placed on singularities at the tip of warped throats in Calabi-Yau orientifold flux compactifications, they may give rise to realistic particle spectra, closed- and open-string moduli stabilisation with a Minkowski/de Sitter uplift, and a geometrical origin for the scale hierarchies. The paper derives the low-energy effective field theory description for such scenarios, i.e. a non-linear supergravity theory for standard and constrained supermultiplets, including soft supersymmetry-breaking matter couplings. The effect of closed-string moduli stabilisation on the open-string matter sector is worked out, incorporating non-perturbative and perturbative effects, and the mass and coupling hierarchies are computed with a view towards phenomenology.

[ { "created": "Wed, 22 Jul 2020 10:44:07 GMT", "version": "v1" }, { "created": "Fri, 26 Feb 2021 10:43:31 GMT", "version": "v2" }, { "created": "Thu, 5 May 2022 10:06:58 GMT", "version": "v3" } ]

2022-05-06

[ [ "Parameswaran", "Susha", "" ], [ "Tonioni", "Flavio", "" ] ]

This article discusses model-building scenarios including anti-D3-/D7-branes, in which supersymmetry is broken spontaneously, despite having no scale at which sparticles appear and standard supersymmetry is restored. If the branes are placed on singularities at the tip of warped throats in Calabi-Yau orientifold flux compactifications, they may give rise to realistic particle spectra, closed- and open-string moduli stabilisation with a Minkowski/de Sitter uplift, and a geometrical origin for the scale hierarchies. The paper derives the low-energy effective field theory description for such scenarios, i.e. a non-linear supergravity theory for standard and constrained supermultiplets, including soft supersymmetry-breaking matter couplings. The effect of closed-string moduli stabilisation on the open-string matter sector is worked out, incorporating non-perturbative and perturbative effects, and the mass and coupling hierarchies are computed with a view towards phenomenology.

10.900166

11.098834

11.992887

9.873449

10.247158

10.861043

10.881872

10.61576

10.290851

11.933054

10.291994

9.704703

10.87144

10.449973

10.325871

10.007051

10.179806

10.18311

10.100497

10.672219

10.353283

2205.11339

Yuya Tanizaki

Yuya Tanizaki, Mithat \"Unsal

Semiclassics with 't Hooft flux background for QCD with $2$-index quarks

24 pages, no figure

JHEP 08 (2022) 038

10.1007/JHEP08(2022)038

YITP-22-45

hep-th

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

We study quantum chromodynamics including the two-index symmetric or anti-symmetric quark (QCD(Sym/ASym)) on small $\mathbb{R}^2\times T^2$ with a suitable magnetic flux. We first discuss the 't Hooft anomaly of these theories and claim that discrete chiral symmetry should be spontaneously broken completely to satisfy the anomaly matching condition. The $T^2$ compactification with the magnetic flux preserves the 't Hooft anomaly, and the $2$d effective theory is constrained by the same anomaly of $4$d QCD(Sym/ASym). We demonstrate the spontaneous breakdown of chiral symmetry using the dilute gas of center vortices, which confirms the prediction of the 't Hooft anomaly. We also find that each vacuum maintains the charge conjugation symmetry, and this gives affirmative support for the nonperturbative large-$N$ orientifold equivalence between QCD(Sym/ASym) and $\mathcal{N}=1$ supersymmetric $SU(N)$ Yang-Mills theory.

[ { "created": "Mon, 23 May 2022 14:32:39 GMT", "version": "v1" }, { "created": "Fri, 27 May 2022 22:07:08 GMT", "version": "v2" }, { "created": "Mon, 27 Jun 2022 23:29:43 GMT", "version": "v3" } ]

2022-08-05

[ [ "Tanizaki", "Yuya", "" ], [ "Ünsal", "Mithat", "" ] ]

We study quantum chromodynamics including the two-index symmetric or anti-symmetric quark (QCD(Sym/ASym)) on small $\mathbb{R}^2\times T^2$ with a suitable magnetic flux. We first discuss the 't Hooft anomaly of these theories and claim that discrete chiral symmetry should be spontaneously broken completely to satisfy the anomaly matching condition. The $T^2$ compactification with the magnetic flux preserves the 't Hooft anomaly, and the $2$d effective theory is constrained by the same anomaly of $4$d QCD(Sym/ASym). We demonstrate the spontaneous breakdown of chiral symmetry using the dilute gas of center vortices, which confirms the prediction of the 't Hooft anomaly. We also find that each vacuum maintains the charge conjugation symmetry, and this gives affirmative support for the nonperturbative large-$N$ orientifold equivalence between QCD(Sym/ASym) and $\mathcal{N}=1$ supersymmetric $SU(N)$ Yang-Mills theory.

7.754223

7.295764

8.486184

6.976847

7.200711

7.388083

6.867249

6.938704

6.815646

8.855458

6.7648

7.210409

7.746615

7.104448

7.156145

7.002373

7.027937

6.963399

7.093486

7.555974

7.068916

2311.14432

Mathieu Giroux

Giacomo Brunello, Giulio Crisanti, Mathieu Giroux, Pierpaolo Mastrolia, Sid Smith

Fourier Calculus from Intersection Theory

15 pages and 3 figures, matching the published version

null

hep-th hep-ph

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

Building on recent advances in studying the co-homological properties of Feynman integrals, we apply intersection theory to the computation of Fourier integrals. We discuss applications pertinent to gravitational bremsstrahlung and deep inelastic scattering in the saturation regime. After identifying the bases of master integrals, the latter are evaluated by means of the differential equation method. Finally, new results with exact dependence on the spacetime dimension D are presented.

[ { "created": "Fri, 24 Nov 2023 12:18:17 GMT", "version": "v1" }, { "created": "Wed, 10 Apr 2024 12:42:27 GMT", "version": "v2" } ]

2024-04-11

[ [ "Brunello", "Giacomo", "" ], [ "Crisanti", "Giulio", "" ], [ "Giroux", "Mathieu", "" ], [ "Mastrolia", "Pierpaolo", "" ], [ "Smith", "Sid", "" ] ]

Building on recent advances in studying the co-homological properties of Feynman integrals, we apply intersection theory to the computation of Fourier integrals. We discuss applications pertinent to gravitational bremsstrahlung and deep inelastic scattering in the saturation regime. After identifying the bases of master integrals, the latter are evaluated by means of the differential equation method. Finally, new results with exact dependence on the spacetime dimension D are presented.

14.561944

12.895373

13.739892

11.250784

12.831851

12.675982

13.056418

12.253676

12.08127

14.164546

12.818647

13.333353

12.538943

12.870079

13.095832

14.329699

13.465936

13.19508

13.189154

12.816444

13.458314

hep-th/0106273

Andrei A. Galiautdinov

Andrei A. Galiautdinov and David R. Finkelstein (Georgia Institute of Technology)

Chronon corrections to the Dirac equation

14 pages, no figures. Accepted to J.Math.Phys

null

10.1063/1.1505666

null

hep-th

null

The Dirac equation is not semisimple. We therefore regard it as a contraction of a simpler decontracted theory. The decontracted theory is necessarily purely algebraic and non-local. In one simple model the algebra is a Clifford algebra with 6N generators. The quantum imaginary $\hbar i$ is the contraction of a dynamical variable whose back-reaction provides the Dirac mass. The simplified Dirac equation is exactly Lorentz invariant but its symmetry group is SO(3,3), a decontraction of the Poincare group, and it has a slight but fundamental non-locality beyond that of the usual Dirac equation. On operational grounds the non-locality is ~10^{-25} sec in size and the associated mass is about the Higgs mass. There is a non-standard small but unique spin-orbit coupling ~1/N, whose observation would be some evidence for the simpler theory. All the fields of the Standard Model call for similar non-local simplification.

[ { "created": "Thu, 28 Jun 2001 17:24:47 GMT", "version": "v1" }, { "created": "Sat, 29 Jun 2002 00:24:58 GMT", "version": "v2" } ]

2009-11-07

[ [ "Galiautdinov", "Andrei A.", "", "Georgia Institute of\n Technology" ], [ "Finkelstein", "David R.", "", "Georgia Institute of\n Technology" ] ]

The Dirac equation is not semisimple. We therefore regard it as a contraction of a simpler decontracted theory. The decontracted theory is necessarily purely algebraic and non-local. In one simple model the algebra is a Clifford algebra with 6N generators. The quantum imaginary $\hbar i$ is the contraction of a dynamical variable whose back-reaction provides the Dirac mass. The simplified Dirac equation is exactly Lorentz invariant but its symmetry group is SO(3,3), a decontraction of the Poincare group, and it has a slight but fundamental non-locality beyond that of the usual Dirac equation. On operational grounds the non-locality is ~10^{-25} sec in size and the associated mass is about the Higgs mass. There is a non-standard small but unique spin-orbit coupling ~1/N, whose observation would be some evidence for the simpler theory. All the fields of the Standard Model call for similar non-local simplification.

16.542053

17.943138

15.724772

14.880201

18.807775

16.356506

17.061041

15.919526

16.265558

17.555128

15.563911

15.339732

15.284205

15.261022

15.480292

15.601274

15.754449

15.938397

15.947159

16.160519

15.516215

hep-th/0507165

Emil M. Prodanov

Rossen I. Ivanov and Emil M. Prodanov

Haunted Kaluza Universe with Four-dimensional Lorentzian Flat, Kerr, and Taub-NUT Slices

11 pages

Phys.Lett. B609 (2005) 1-6

10.1016/j.physletb.2005.01.036

null

hep-th

null

The duality between the original Kaluza's theory and Klein's subsequent modification is duality between slicing and threading decomposition of the five-dimensional spacetime. The field equations of the original Kaluza's theory lead to the interpretation of the four-dimensional Lorentzian Kerr and Taub--NUT solutions as resulting from static electric and magnetic charges and dipoles in the presence of ghost matter and constant dilaton, which models Newton's constant.

[ { "created": "Mon, 18 Jul 2005 09:31:06 GMT", "version": "v1" } ]

2009-11-11

[ [ "Ivanov", "Rossen I.", "" ], [ "Prodanov", "Emil M.", "" ] ]

The duality between the original Kaluza's theory and Klein's subsequent modification is duality between slicing and threading decomposition of the five-dimensional spacetime. The field equations of the original Kaluza's theory lead to the interpretation of the four-dimensional Lorentzian Kerr and Taub--NUT solutions as resulting from static electric and magnetic charges and dipoles in the presence of ghost matter and constant dilaton, which models Newton's constant.

19.124605

19.660269

17.083317

18.33765

19.550922

18.667135

19.265238

18.721502

18.686014

18.051559

19.144262

18.303345

18.270927

17.934824

18.278879

18.154394

19.108902

17.484766

19.481234

18.637976

18.469862

hep-th/0402124

Oren Bergman Dr.

Oren Bergman and Shlomo S. Razamat (Technion)

Imaginary time D-branes to all orders

19 pages, 5 figures

JHEP 0406:046,2004

10.1088/1126-6708/2004/06/046

null

hep-th

null

Extending the work of Gaiotto, Itzhaki and Rastelli in hep-th/0304192, we derive a general prescription for computing amplitudes involving a periodic array of D-branes in imaginary time to arbitrary order. We use this prescription to show that closed string amplitudes with b boundaries are identical to closed string amplitudes with b additional insertions of a particular physical closed string state. We perform an explicit computation for the annulus, and argue on the basis of open and closed string field theory for higher order amplitudes. We also discuss possible subtleties in the prescription related to collisions of boundaries and insertions, and argue that they are harmless. This verifies the proposal that a periodic array of D-branes in imaginary time corresponds to a pure closed string background.

[ { "created": "Tue, 17 Feb 2004 10:28:24 GMT", "version": "v1" } ]

2010-02-03

[ [ "Bergman", "Oren", "", "Technion" ], [ "Razamat", "Shlomo S.", "", "Technion" ] ]

Extending the work of Gaiotto, Itzhaki and Rastelli in hep-th/0304192, we derive a general prescription for computing amplitudes involving a periodic array of D-branes in imaginary time to arbitrary order. We use this prescription to show that closed string amplitudes with b boundaries are identical to closed string amplitudes with b additional insertions of a particular physical closed string state. We perform an explicit computation for the annulus, and argue on the basis of open and closed string field theory for higher order amplitudes. We also discuss possible subtleties in the prescription related to collisions of boundaries and insertions, and argue that they are harmless. This verifies the proposal that a periodic array of D-branes in imaginary time corresponds to a pure closed string background.

9.268991

9.665863

10.500479

8.909674

9.534389

9.36888

8.649576

9.266183

9.1695

11.588463

8.456589

8.618992

9.035092

8.530302

8.664073

8.61605

8.881204

8.651931

8.641002

9.237353

8.794059

hep-th/9403051

Denis Juriev

D.Juriev (D.V.Yur'ev)

Algebraic Structures of Quantum Projective Field Theory Related to Fusion and Braiding. Hidden Additive Weight

AMS-TEX, amsppt style, 16 pages, accepted for a publication in J.MATH.PHYS. (Typographical errors are excluded)

J.Math.Phys. 35 (1994) 3368-3379

10.1063/1.530473

null

hep-th

null

The interaction of various algebraic structures describing fusion, braiding and group symmetries in quantum projective field theory is an object of an investigation in the paper. Structures of projective Zamolodchikov al- gebras, their represntations, spherical correlation functions, correlation characters and envelopping QPFT-operator algebras, projective \"W-algebras, shift algebras, braiding admissible QPFT-operator algebras and projective G-hypermultiplets are explored. It is proved (in the formalism of shift algebras) that sl(2,C)-primary fields are characterized by their projective weights and by the hidden additive weight, a hidden quantum number discovered in the paper (some discussions on this fact and its possible relation to a hidden 4-dimensional QFT maybe found in the note by S.Bychkov, S.Plotnikov and D.Juriev, Uspekhi Matem. Nauk 47(3) (1992)[in Russian]). The special attention is paid to various constructions of projective G-hyper- multiplets (QPFT-operator algebras with G-symmetries).

[ { "created": "Tue, 8 Mar 1994 12:49:49 GMT", "version": "v1" }, { "created": "Wed, 9 Mar 1994 10:01:31 GMT", "version": "v2" } ]

2009-10-28

[ [ "Juriev", "D.", "", "D.V.Yur'ev" ] ]

The interaction of various algebraic structures describing fusion, braiding and group symmetries in quantum projective field theory is an object of an investigation in the paper. Structures of projective Zamolodchikov al- gebras, their represntations, spherical correlation functions, correlation characters and envelopping QPFT-operator algebras, projective \"W-algebras, shift algebras, braiding admissible QPFT-operator algebras and projective G-hypermultiplets are explored. It is proved (in the formalism of shift algebras) that sl(2,C)-primary fields are characterized by their projective weights and by the hidden additive weight, a hidden quantum number discovered in the paper (some discussions on this fact and its possible relation to a hidden 4-dimensional QFT maybe found in the note by S.Bychkov, S.Plotnikov and D.Juriev, Uspekhi Matem. Nauk 47(3) (1992)[in Russian]). The special attention is paid to various constructions of projective G-hyper- multiplets (QPFT-operator algebras with G-symmetries).

18.462801

18.879343

21.222719

17.86224

19.277262

21.783731

20.838913

19.706818

18.562662

22.741936

19.181858

18.223261

19.342722

17.893547

18.407022

18.891752

17.935909

18.029228

18.002451

19.32217

17.540905

2004.10647

Emilio Torrente-Lujan

A. Belhaj, A. El Balali, W. El Hadri, Y. Hassouni, and E. Torrente-Lujan

Phase Transitions of Quintessential AdS Black Holes in M-theory/Superstring Inspired Models

null

10.1142/S0217751X21500573

FISPAC-TH/20-31415, UQBAR-TH/20-27182

hep-th gr-qc hep-ph

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

We study $d$-dimensional $AdS$ black holes surrounded by Dark Energy (DE), embedded in $D$-dimensional M-theory/superstring inspired models having $AdS_d \times \mathbb{S}^{d+k}$ space-time with $D=2d+k$. We focus on the thermodynamic Hawking-Page phase transitions of quintessential DE black hole solutions, whose microscopical origin is linked to $N$ coincident $(d-2)$-branes supposed to live in such $(2d+k)$-dimensional models. Interpreting the cosmological constant as the number of colors $\propto N^{\frac{d-1}{2}}$, we calculate various thermodynamical quantities in terms of brane number, entropy and DE contributions. Computing the chemical potential conjugated to the number of colors in the absence of DE, we show that a generic black hole is more stable for a larger number of branes for lower dimensions $d$.In the presence of DE, we find that the DE state parameter $\omega_q$ should take particular values, for $(D,d,k)$ models, providing a non trivial phase transition structure.

[ { "created": "Wed, 22 Apr 2020 15:44:44 GMT", "version": "v1" } ]

2021-04-21

[ [ "Belhaj", "A.", "" ], [ "Balali", "A. El", "" ], [ "Hadri", "W. El", "" ], [ "Hassouni", "Y.", "" ], [ "Torrente-Lujan", "E.", "" ] ]

We study $d$-dimensional $AdS$ black holes surrounded by Dark Energy (DE), embedded in $D$-dimensional M-theory/superstring inspired models having $AdS_d \times \mathbb{S}^{d+k}$ space-time with $D=2d+k$. We focus on the thermodynamic Hawking-Page phase transitions of quintessential DE black hole solutions, whose microscopical origin is linked to $N$ coincident $(d-2)$-branes supposed to live in such $(2d+k)$-dimensional models. Interpreting the cosmological constant as the number of colors $\propto N^{\frac{d-1}{2}}$, we calculate various thermodynamical quantities in terms of brane number, entropy and DE contributions. Computing the chemical potential conjugated to the number of colors in the absence of DE, we show that a generic black hole is more stable for a larger number of branes for lower dimensions $d$.In the presence of DE, we find that the DE state parameter $\omega_q$ should take particular values, for $(D,d,k)$ models, providing a non trivial phase transition structure.

10.039513

10.614511

9.695281

8.771579

9.594911

9.937426

10.042249

9.498958

9.765098

11.370768

10.063806

9.755244

9.708723

9.287094

9.885028

9.776825

9.956427

9.899097

9.621988

10.312728

9.471155

hep-th/0609148

Cosmas Zachos

Cosmas K Zachos

A Classical Bound on Quantum Entropy

Latex2e, 7 pages, publication version

J.Phys.A40:F407-F412,2007

10.1088/1751-8113/40/21/F02

ANL-HEP-PR-06-74

hep-th gr-qc physics.comp-ph quant-ph

null

A classical upper bound for quantum entropy is identified and illustrated, $0\leq S_q \leq \ln (e \sigma^2 / 2\hbar)$, involving the variance $\sigma^2$ in phase space of the classical limit distribution of a given system. A fortiori, this further bounds the corresponding information-theoretical generalizations of the quantum entropy proposed by Renyi.

[ { "created": "Thu, 21 Sep 2006 19:00:03 GMT", "version": "v1" }, { "created": "Thu, 21 Dec 2006 16:09:55 GMT", "version": "v2" }, { "created": "Fri, 2 Feb 2007 21:40:16 GMT", "version": "v3" }, { "created": "Thu, 5 Apr 2007 14:49:20 GMT", "version": "v4" }, { "created": "Thu, 19 Apr 2007 16:51:22 GMT", "version": "v5" }, { "created": "Mon, 23 Apr 2007 20:16:41 GMT", "version": "v6" } ]

2008-11-26

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

A classical upper bound for quantum entropy is identified and illustrated, $0\leq S_q \leq \ln (e \sigma^2 / 2\hbar)$, involving the variance $\sigma^2$ in phase space of the classical limit distribution of a given system. A fortiori, this further bounds the corresponding information-theoretical generalizations of the quantum entropy proposed by Renyi.

16.038277

13.001701

13.260957

14.00126

13.944025

15.792971

14.330939

16.374975

15.382776

15.273904

14.654654

12.646038

13.552557

12.421803

12.424031

12.887293

13.002058

13.12326

12.283296

13.105074

13.67842

1105.4792

Ivica Smoli\'c

Loriano Bonora, Maro Cvitan, Predrag Dominis Prester, Silvio Pallua, Ivica Smoli\'c

Gravitational Chern-Simons Lagrangian terms and spherically symmetric spacetimes

16 pages, updated to match published version

Class.Quant.Grav.28:195009,2011

10.1088/0264-9381/28/19/195009

SISSA 23/2011/EP, ZTF-11-05

hep-th gr-qc

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

We show that for general spherically symmetric configurations, contributions of general gravitational and mixed gauge-gravitational Chern-Simons terms to the equations of motion vanish identically in $D>3$ dimensions. This implies that such terms in the action do not affect Birkhoff's theorem or any previously known spherically symmetric solutions. Furthermore, we investigate the thermodynamical properties using the procedure described in an accompanying paper. We find that in $D>3$ static spherically symmetric case Chern-Simons terms do not contribute to the entropy either. Moreover, if one requires only for the metric tensor to be spherically symmetric, letting other fields unrestricted, the results extend almost completely, with only one possible exception --- Chern-Simons Lagrangian terms in which the gravitational part is just the $n=2$ irreducible gravitational Chern-Simons term.

[ { "created": "Tue, 24 May 2011 14:57:53 GMT", "version": "v1" }, { "created": "Fri, 3 Jun 2011 10:13:41 GMT", "version": "v2" }, { "created": "Fri, 3 Feb 2012 09:56:57 GMT", "version": "v3" } ]

2012-02-06

[ [ "Bonora", "Loriano", "" ], [ "Cvitan", "Maro", "" ], [ "Prester", "Predrag Dominis", "" ], [ "Pallua", "Silvio", "" ], [ "Smolić", "Ivica", "" ] ]

We show that for general spherically symmetric configurations, contributions of general gravitational and mixed gauge-gravitational Chern-Simons terms to the equations of motion vanish identically in $D>3$ dimensions. This implies that such terms in the action do not affect Birkhoff's theorem or any previously known spherically symmetric solutions. Furthermore, we investigate the thermodynamical properties using the procedure described in an accompanying paper. We find that in $D>3$ static spherically symmetric case Chern-Simons terms do not contribute to the entropy either. Moreover, if one requires only for the metric tensor to be spherically symmetric, letting other fields unrestricted, the results extend almost completely, with only one possible exception --- Chern-Simons Lagrangian terms in which the gravitational part is just the $n=2$ irreducible gravitational Chern-Simons term.

10.148884

11.091766

9.762526

9.99178

11.039378

11.359904

11.161324

10.239385

10.189475

10.956514

9.855926

10.021722

9.978361

9.577244

9.925118

10.068973

10.193387

9.772243

9.694239

9.622169

9.775074

2101.06325

Keiju Murata Dr

Takaaki Ishii, Keiju Murata, Jorge E. Santos, Benson Way

Multioscillating black holes

40 pages, 8 figures

null

10.1007/JHEP05(2021)011

null

hep-th gr-qc

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

We study rotating global AdS solutions in five-dimensional Einstein gravity coupled to a multiplet complex scalar within a cohomogeneity-1 ansatz. The onset of the gravitational and scalar field superradiant instabilities of the Myers-Perry-AdS black hole mark bifurcation points to black resonators and hairy Myers-Perry-AdS black holes, respectively. These solutions are subject to the other (gravitational or scalar) instability, and result in hairy black resonators which contain both gravitational and scalar hair. The hairy black resonators have smooth zero-horizon limits that we call graviboson stars. In the hairy black resonator and graviboson solutions, multiple scalar components with different frequencies are excited, and hence these are multioscillating solutions. The phase structure of the solutions are examined in the microcanonical ensemble, i.e. at fixed energy and angular momenta. It is found that the entropy of the hairy black resonator is never the largest among them. We also find that hairy black holes with higher scalar wavenumbers are entropically dominant and occupy more of phase space than those of lower wavenumbers.

[ { "created": "Fri, 15 Jan 2021 23:23:27 GMT", "version": "v1" } ]

2021-05-19

[ [ "Ishii", "Takaaki", "" ], [ "Murata", "Keiju", "" ], [ "Santos", "Jorge E.", "" ], [ "Way", "Benson", "" ] ]

We study rotating global AdS solutions in five-dimensional Einstein gravity coupled to a multiplet complex scalar within a cohomogeneity-1 ansatz. The onset of the gravitational and scalar field superradiant instabilities of the Myers-Perry-AdS black hole mark bifurcation points to black resonators and hairy Myers-Perry-AdS black holes, respectively. These solutions are subject to the other (gravitational or scalar) instability, and result in hairy black resonators which contain both gravitational and scalar hair. The hairy black resonators have smooth zero-horizon limits that we call graviboson stars. In the hairy black resonator and graviboson solutions, multiple scalar components with different frequencies are excited, and hence these are multioscillating solutions. The phase structure of the solutions are examined in the microcanonical ensemble, i.e. at fixed energy and angular momenta. It is found that the entropy of the hairy black resonator is never the largest among them. We also find that hairy black holes with higher scalar wavenumbers are entropically dominant and occupy more of phase space than those of lower wavenumbers.

10.212807

10.077465

10.358653

8.959039

10.191324

9.75061

9.833064

9.298676

9.486621

9.906449

9.843225

9.813788

9.575534

9.675637

9.894916

9.994266

9.819961

9.684035

9.553212

9.511542

9.759354

2312.12517

Urs Schreiber

Hisham Sati and Urs Schreiber

Flux Quantization on Phase Space

23 pages; v3: published version, with a little more background added to section 3.1; v2: more references added & typos fixed

Annales Henri Poincar\'e (2024)

10.1007/s00023-024-01438-x

null

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

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

While it has become widely appreciated that (higher) gauge theories need, besides their variational phase space data, to be equipped with "flux quantization laws" in generalized differential cohomology, there used to be no general prescription for how to define and construct the resulting flux-quantized phase space stacks. In this short note we observe that all higher Maxwell-type equations have solution spaces given by flux densities on a Cauchy surface subject to a higher Gauss law and no further constraint: The metric duality-constraint is all absorbed into the evolution equation away from the Cauchy surface. Moreover, we observe that the higher Gauss law characterizes the Cauchy data as flat differential forms valued in a characteristic L-infinity-algebra. Using the recent construction of the non-abelian Chern-Dold character map, this implies that compatible flux quantization laws on phase space have classifying spaces whose rational Whitehead L-infinity algebra is this characteristic one. The flux-quantized higher phase space stack of the theory is then simply the corresponding (generally non-abelian) differential cohomology moduli stack on the Cauchy surface. We show how this systematic prescription subsumes existing proposals for flux-quantized phase spaces of vacuum Maxwell theory and of the chiral boson. Moreover, for the case of NS/RR-fields in type II supergravity, the traditional "Hypothesis K" of flux quantization in topological K-theory is naturally implied, without the need, on phase space, for the notorious further duality constraint. Finally, as a genuinely non-abelian example, we consider flux-quantization of the C-field in 11d supergravity/M-theory given by unstable differential 4-Cohomotopy ("Hypothesis H") and emphasize again that, implemented on Cauchy data, this qualifies as the full phase space without the need for a further duality constraint.

[ { "created": "Tue, 19 Dec 2023 19:00:04 GMT", "version": "v1" }, { "created": "Wed, 27 Dec 2023 17:50:05 GMT", "version": "v2" }, { "created": "Wed, 8 May 2024 15:11:00 GMT", "version": "v3" } ]

2024-05-09

[ [ "Sati", "Hisham", "" ], [ "Schreiber", "Urs", "" ] ]

While it has become widely appreciated that (higher) gauge theories need, besides their variational phase space data, to be equipped with "flux quantization laws" in generalized differential cohomology, there used to be no general prescription for how to define and construct the resulting flux-quantized phase space stacks. In this short note we observe that all higher Maxwell-type equations have solution spaces given by flux densities on a Cauchy surface subject to a higher Gauss law and no further constraint: The metric duality-constraint is all absorbed into the evolution equation away from the Cauchy surface. Moreover, we observe that the higher Gauss law characterizes the Cauchy data as flat differential forms valued in a characteristic L-infinity-algebra. Using the recent construction of the non-abelian Chern-Dold character map, this implies that compatible flux quantization laws on phase space have classifying spaces whose rational Whitehead L-infinity algebra is this characteristic one. The flux-quantized higher phase space stack of the theory is then simply the corresponding (generally non-abelian) differential cohomology moduli stack on the Cauchy surface. We show how this systematic prescription subsumes existing proposals for flux-quantized phase spaces of vacuum Maxwell theory and of the chiral boson. Moreover, for the case of NS/RR-fields in type II supergravity, the traditional "Hypothesis K" of flux quantization in topological K-theory is naturally implied, without the need, on phase space, for the notorious further duality constraint. Finally, as a genuinely non-abelian example, we consider flux-quantization of the C-field in 11d supergravity/M-theory given by unstable differential 4-Cohomotopy ("Hypothesis H") and emphasize again that, implemented on Cauchy data, this qualifies as the full phase space without the need for a further duality constraint.

14.594532

16.041616

17.711136

14.692567

17.046333

16.922632

15.795507

15.57795

14.578875

17.838425

14.38919

14.633336

13.663798

14.468708

14.165288

14.350513

13.872291

13.630786

13.506249

15.677508

14.501793

hep-th/0207030

Tonguc Rador

Uniting Gross-Neveu and Massive Schwinger Models

Version to appear in Phys. Lett. B

Phys.Lett. B546 (2002) 153-156

10.1016/S0370-2693(02)02692-8

null

hep-th

null

We show that it is possible to obtain the Gross-Neveu model in 1+1 dimensions from gauge fields only. This is reminiscent of the fact that in 1+1 dimensions the gauge field tensor is essentially a pseudo-scalar. We also show that it is possible in this context to combine the Gross-Neveu model with the massive Schwinger model in the limit where the fermion mass is larger than the electric charge.

[ { "created": "Wed, 3 Jul 2002 09:24:59 GMT", "version": "v1" }, { "created": "Fri, 5 Jul 2002 09:34:16 GMT", "version": "v2" }, { "created": "Mon, 29 Jul 2002 07:42:18 GMT", "version": "v3" }, { "created": "Thu, 19 Sep 2002 11:04:42 GMT", "version": "v4" } ]

2009-11-07

[ [ "Rador", "Tonguc", "" ] ]

We show that it is possible to obtain the Gross-Neveu model in 1+1 dimensions from gauge fields only. This is reminiscent of the fact that in 1+1 dimensions the gauge field tensor is essentially a pseudo-scalar. We also show that it is possible in this context to combine the Gross-Neveu model with the massive Schwinger model in the limit where the fermion mass is larger than the electric charge.

6.108285

5.255128

5.420863

5.454526

5.125025

5.461627

5.118025

5.552069

5.227856

6.409207

5.36561

5.609072

5.573267

5.517692

5.462042

5.5051

5.548824

5.370809

5.299575

5.694192

5.395758

hep-th/9309136

null

Daniel Armand-Ugon, Rodolfo Gambini, Pablo Mora

Intersecting Braids and Intersecting Knot Theory

14 pages (6 figures included)

J.Knot Theor.Ramifications 4:1-12,1995

null

IFFC-93-06

hep-th math.QA

null

An extension of the Artin Braid Group with new operators that generate double and triple intersections is considered. The extended Alexander theorem, relating intersecting closed braids and intersecting knots is proved for double and triple intersections, and a counter example is given for the case of quadruple intersections. Intersecting knot invariants are constructed via Markov traces defined on intersecting braid algebra representations, and the extended Turaev representation is discussed as an example. Possible applications of the formalism to quantum gravity are discussed.

[ { "created": "Fri, 24 Sep 1993 21:03:26 GMT", "version": "v1" } ]

2009-09-01

[ [ "Armand-Ugon", "Daniel", "" ], [ "Gambini", "Rodolfo", "" ], [ "Mora", "Pablo", "" ] ]

An extension of the Artin Braid Group with new operators that generate double and triple intersections is considered. The extended Alexander theorem, relating intersecting closed braids and intersecting knots is proved for double and triple intersections, and a counter example is given for the case of quadruple intersections. Intersecting knot invariants are constructed via Markov traces defined on intersecting braid algebra representations, and the extended Turaev representation is discussed as an example. Possible applications of the formalism to quantum gravity are discussed.

12.712774

11.307687

12.210043

11.045658

12.863346

11.121156

11.573964

10.988373

11.813434

13.60868

11.060682

11.805367

11.45579

10.889671

11.26763

11.271474

10.9781

11.172336

11.333663

11.177166

11.155939

1906.03865

Suguru Okumura

Takaaki Ishii, Suguru Okumura, Jun-ichi Sakamoto and Kentaroh Yoshida

Gravitational perturbations as $T\bar{T}$-deformations in 2D dilaton gravity systems

24 pages, references added

null

KUNS-2765, YITP-19-48

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

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

We consider gravitational perturbations of 2D dilaton gravity systems and show that these can be recast into $T\bar{T}$-deformations (at least) under certain conditions, where $T$ means the energy-momentum tensor of the matter field coupled to a dilaton gravity. In particular, the class of theories under this condition includes a Jackiw-Teitelboim (JT) theory with a negative cosmological constant including conformal matter fields. This is a generalization of the preceding work on the flat-space JT gravity by S. Dubovsky, V. Gorbenko and M. Mirbabayi [arXiv:1706.06604].

[ { "created": "Mon, 10 Jun 2019 09:32:50 GMT", "version": "v1" }, { "created": "Wed, 3 Jul 2019 08:48:03 GMT", "version": "v2" } ]

2019-07-04

[ [ "Ishii", "Takaaki", "" ], [ "Okumura", "Suguru", "" ], [ "Sakamoto", "Jun-ichi", "" ], [ "Yoshida", "Kentaroh", "" ] ]

We consider gravitational perturbations of 2D dilaton gravity systems and show that these can be recast into $T\bar{T}$-deformations (at least) under certain conditions, where $T$ means the energy-momentum tensor of the matter field coupled to a dilaton gravity. In particular, the class of theories under this condition includes a Jackiw-Teitelboim (JT) theory with a negative cosmological constant including conformal matter fields. This is a generalization of the preceding work on the flat-space JT gravity by S. Dubovsky, V. Gorbenko and M. Mirbabayi [arXiv:1706.06604].

6.138834

6.564831

7.175953

6.64086

6.356679

6.578446

6.591876

6.654527

6.551937

8.837418

6.239684

6.457416

6.328134

5.988471

6.006611

6.177681

6.12539

6.090625

5.960088

6.308077

6.084893

hep-th/9702084

Julie Blum

Julie D. Blum

H-Dyons and S-Duality

16 pages, uses harvmac.tex, arguments are drastically changed but the conclusions remain unchanged

Nucl.Phys.B507:245-258,1997

10.1016/S0550-3213(97)00547-6

IASSNS-HEP-97/8

hep-th

null

We present a relatively simple argument showing that the H-dyon states required by S-duality of the heterotic string on $T^6$ are present provided that the BPS dyons required by S-duality of N=4 supersymmetric Yang-Mills theory are present. We also conjecture and provide evidence that H-dyons at singularities where the nonperturbative gauge symmetry is completely broken are actually BPS dyons.

[ { "created": "Mon, 10 Feb 1997 18:25:45 GMT", "version": "v1" }, { "created": "Mon, 17 Mar 1997 05:51:05 GMT", "version": "v2" } ]

2009-08-18

[ [ "Blum", "Julie D.", "" ] ]

We present a relatively simple argument showing that the H-dyon states required by S-duality of the heterotic string on $T^6$ are present provided that the BPS dyons required by S-duality of N=4 supersymmetric Yang-Mills theory are present. We also conjecture and provide evidence that H-dyons at singularities where the nonperturbative gauge symmetry is completely broken are actually BPS dyons.

10.024069

7.850383

10.415624

8.035974

9.083889

8.516238

8.227797

7.728807

7.676595

11.407537

8.155575

8.674898

9.075031

8.590846

8.794999

8.589108

7.878537

8.668665

8.628527

9.00761

8.877967

hep-th/9507024

Jose M. Figueroa-O'Farrill

JM Figueroa-O'Farrill

Are all TCFTs obtained by twisting N=2 SCFTs?

9 pages (5 physical pages), .dvi.uu (+ some hyperlinks) added some references (my apologies)

null

QMW-PH-95-18

hep-th

null

A large class of two-dimensional topological conformal field theories (TCFTs) are obtained by the twisting construction of Witten and Eguchi-Yang. However there seem to exist TCFTs which are not obtained in this way; for instance, TCFTs obtained from the Kazama algebra and critical string theories with generic background. We will show that by embedding the critical bosonic string into the NSR string, its TCFT can indeed be obtained by twisting a N=2 SCFT. A closer look at the construction of the N=2 superconformal algebra will show that the embedding is not essential, and this will tell us how to generalise this to other string theories. We thus conclude with the natural conjecture that _all_ TCFTs have a description as topologically twisted N=2 SCFTs. (Talk given at the Workshop on Strings, Gravity and Related Topics, held at the ICTP (Trieste, Italy) on 29-30 June, 1995.)

[ { "created": "Wed, 5 Jul 1995 12:18:26 GMT", "version": "v1" }, { "created": "Thu, 6 Jul 1995 22:10:15 GMT", "version": "v2" } ]

2008-02-03

[ [ "Figueroa-O'Farrill", "JM", "" ] ]

A large class of two-dimensional topological conformal field theories (TCFTs) are obtained by the twisting construction of Witten and Eguchi-Yang. However there seem to exist TCFTs which are not obtained in this way; for instance, TCFTs obtained from the Kazama algebra and critical string theories with generic background. We will show that by embedding the critical bosonic string into the NSR string, its TCFT can indeed be obtained by twisting a N=2 SCFT. A closer look at the construction of the N=2 superconformal algebra will show that the embedding is not essential, and this will tell us how to generalise this to other string theories. We thus conclude with the natural conjecture that _all_ TCFTs have a description as topologically twisted N=2 SCFTs. (Talk given at the Workshop on Strings, Gravity and Related Topics, held at the ICTP (Trieste, Italy) on 29-30 June, 1995.)

8.135552

8.521044

8.859673

7.274084

7.74755

7.584239

7.842141

7.522769

7.689474

9.100733

7.344834

7.50877

7.678376

7.469186

7.466523

7.500909

7.271388

7.504177

7.47732

7.582183

7.367133

1012.5930

Hiroyuki Kitamoto

Hiroyuki Kitamoto, Yoshihisa Kitazawa

Non-linear sigma model in de Sitter space

34pages

Phys.Rev.D83:104043,2011

10.1103/PhysRevD.83.104043

KEK-TH-1430

hep-th astro-ph.CO

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

We investigate infra-red dynamics of the non-linear sigma model in de Sitter space. In the presence of minimally coupled massless scalar fields, the de Sitter symmetry is dynamically broken and physical constants become time dependent. We find that the coupling constant of the non-linear sigma model becomes time dependent. The power counting arguments of the infra-red logarithms indicate that the cosmological constant also acquires time dependence. We find that such infra-red logarithms cancel out in a perturbative investigation up to the two loop level. We further demonstrate a non-perturbative non-renormalization of the cosmological constant in the large $N$ limit of the non-linear sigma model.

[ { "created": "Wed, 29 Dec 2010 12:44:56 GMT", "version": "v1" }, { "created": "Thu, 20 Jan 2011 06:51:08 GMT", "version": "v2" }, { "created": "Thu, 22 Sep 2011 17:47:48 GMT", "version": "v3" } ]

2011-09-23

[ [ "Kitamoto", "Hiroyuki", "" ], [ "Kitazawa", "Yoshihisa", "" ] ]

We investigate infra-red dynamics of the non-linear sigma model in de Sitter space. In the presence of minimally coupled massless scalar fields, the de Sitter symmetry is dynamically broken and physical constants become time dependent. We find that the coupling constant of the non-linear sigma model becomes time dependent. The power counting arguments of the infra-red logarithms indicate that the cosmological constant also acquires time dependence. We find that such infra-red logarithms cancel out in a perturbative investigation up to the two loop level. We further demonstrate a non-perturbative non-renormalization of the cosmological constant in the large $N$ limit of the non-linear sigma model.

6.655883

6.692067

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6.064011

6.237623

6.420334

6.291368

6.414324

6.452091

7.28024

6.651614

6.510977

6.455636

6.489838

6.622707

6.556644

6.548851

6.469907

6.527365

6.505895

6.417923

hep-th/0302192

Takemichi Okui

Lawrence J. Hall, Yasunori Nomura, Takemichi Okui, Steven J. Oliver

Explicit Supersymmetry Breaking on Boundaries of Warped Extra Dimensions

30 pages, version to appear in Nucl. Phys. B

Nucl.Phys.B677:87-114,2004

10.1016/j.nuclphysb.2003.10.042

null

hep-th hep-ph

null

Explicit supersymmetry breaking is studied in higher dimensional theories by having boundaries respect only a subgroup of the bulk symmetry. If the boundary symmetry is the maximal subgroup allowed by the boundary conditions imposed on the fields, then the symmetry can be consistently gauged; otherwise gauging leads to an inconsistent theory. In a warped fifth dimension, an explicit breaking of all bulk supersymmetries by the boundaries is found to be inconsistent with gauging; unlike the case of flat 5D, complete supersymmetry breaking by boundary conditions is not consistent with supergravity. Despite this result, the low energy effective theory resulting from boundary supersymmetry breaking becomes consistent in the limit where gravity decouples, and such models are explored in the hope that some way of successfully incorporating gravity can be found. A warped constrained standard model leads to a theory with one Higgs boson with mass expected close to the experimental limit. A unified theory in a warped fifth dimension is studied with boundary breaking of both SU(5) gauge symmetry and supersymmetry. The usual supersymmetric prediction for gauge coupling unification holds even though the TeV spectrum is quite unlike the MSSM. Such a theory may unify matter and Higgs in the same SU(5) hypermultiplet.

[ { "created": "Tue, 25 Feb 2003 05:17:05 GMT", "version": "v1" }, { "created": "Tue, 28 Oct 2003 22:57:12 GMT", "version": "v2" } ]

2009-09-29

[ [ "Hall", "Lawrence J.", "" ], [ "Nomura", "Yasunori", "" ], [ "Okui", "Takemichi", "" ], [ "Oliver", "Steven J.", "" ] ]

Explicit supersymmetry breaking is studied in higher dimensional theories by having boundaries respect only a subgroup of the bulk symmetry. If the boundary symmetry is the maximal subgroup allowed by the boundary conditions imposed on the fields, then the symmetry can be consistently gauged; otherwise gauging leads to an inconsistent theory. In a warped fifth dimension, an explicit breaking of all bulk supersymmetries by the boundaries is found to be inconsistent with gauging; unlike the case of flat 5D, complete supersymmetry breaking by boundary conditions is not consistent with supergravity. Despite this result, the low energy effective theory resulting from boundary supersymmetry breaking becomes consistent in the limit where gravity decouples, and such models are explored in the hope that some way of successfully incorporating gravity can be found. A warped constrained standard model leads to a theory with one Higgs boson with mass expected close to the experimental limit. A unified theory in a warped fifth dimension is studied with boundary breaking of both SU(5) gauge symmetry and supersymmetry. The usual supersymmetric prediction for gauge coupling unification holds even though the TeV spectrum is quite unlike the MSSM. Such a theory may unify matter and Higgs in the same SU(5) hypermultiplet.

10.172894

10.681705

10.610972

10.210032

10.833591

12.390726

10.585627

10.859738

9.974184

10.850512

10.115355

10.341352

10.03511

9.798699

10.119448

10.258945

10.34829

10.014063

10.151761

10.344696

10.319957

0808.2728

David D. K. Chow

Charged rotating black holes in six-dimensional gauged supergravity

9 pages; v2: minor changes

Class.Quant.Grav.27:065004,2010

10.1088/0264-9381/27/6/065004

DAMTP-2008-73

hep-th gr-qc

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

We obtain non-extremal charged rotating black holes in six-dimensional SU(2) gauged supergravity with two independent angular momenta and one U(1) charge. These include supersymmetric black holes without naked closed timelike curves.

[ { "created": "Wed, 20 Aug 2008 15:20:58 GMT", "version": "v1" }, { "created": "Mon, 22 Feb 2010 21:34:14 GMT", "version": "v2" } ]

2010-05-28

[ [ "Chow", "David D. K.", "" ] ]

We obtain non-extremal charged rotating black holes in six-dimensional SU(2) gauged supergravity with two independent angular momenta and one U(1) charge. These include supersymmetric black holes without naked closed timelike curves.

8.014482

5.050982

7.966417

5.623988

6.044261

5.701419

5.374049

5.500887

5.400857

8.548429

5.431362

6.553367

8.774532

6.833272

6.79244

7.027514

6.75783

6.565759

6.829788

8.188834

6.124602

hep-th/0507018

Neil D. Lambert

Neil D. Lambert and Gregory W. Moore

Distinguishing Off-Shell Supergravities With On-Shell Physics

References added

Phys.Rev. D72 (2005) 085018

10.1103/PhysRevD.72.085018

null

hep-th

null

We show that it is possible to distinguish between different off-shell completions of supergravity at the on-shell level. We focus on the comparison of the ``new minimal'' formulation of off-shell four-dimensional N=1 supergravity with the ``old minimal'' formulation. We show that there are 3-manifolds which admit supersymmetric compactifications in the new-minimal formulation but which do not admit supersymmetric compactifications in other formulations. Moreover, on manifolds with boundary the new-minimal formulation admits ``singleton modes'' which are absent in other formulations.

[ { "created": "Fri, 1 Jul 2005 19:08:26 GMT", "version": "v1" }, { "created": "Wed, 3 Aug 2005 19:03:23 GMT", "version": "v2" }, { "created": "Tue, 4 Oct 2005 16:26:16 GMT", "version": "v3" } ]

2009-11-11

[ [ "Lambert", "Neil D.", "" ], [ "Moore", "Gregory W.", "" ] ]

We show that it is possible to distinguish between different off-shell completions of supergravity at the on-shell level. We focus on the comparison of the ``new minimal'' formulation of off-shell four-dimensional N=1 supergravity with the ``old minimal'' formulation. We show that there are 3-manifolds which admit supersymmetric compactifications in the new-minimal formulation but which do not admit supersymmetric compactifications in other formulations. Moreover, on manifolds with boundary the new-minimal formulation admits ``singleton modes'' which are absent in other formulations.

6.969387

6.588679

7.397903

6.478605

6.448069

6.364699

6.458692

6.159291

6.392246

8.339119

6.450431

6.396816

7.103116

6.573088

6.325838

6.533997

6.422754

6.401444

6.817125

7.076685

6.396114

hep-th/0002156

Karin Bautier

K. Bautier, F. Englert, M. Rooman and Ph. Spindel

The Fefferman-Graham Ambiguity and AdS Black Holes

Latex, 14 pages; one reference modified, minor misprints corrected

Phys.Lett. B479 (2000) 291-298

10.1016/S0370-2693(00)00339-7

ULB-TH-00/03,UMH-MG-00/01

hep-th gr-qc

null

Asymptotically anti-de Sitter space-times in pure gravity with negative cosmological constant are described, in all space-time dimensions greater than two, by classical degrees of freedom on the conformal boundary at space-like infinity. Their effective boundary action has a conformal anomaly for even dimensions and is conformally invariant for odd ones. These degrees of freedom are encoded in traceless tensor fields in the Fefferman-Graham asymptotic metric for any choice of conformally flat boundary and generate all Schwarzschild and Kerr black holes in anti-de Sitter space-time. We argue that these fields describe components of an energy-momentum tensor of a boundary theory and show explicitly how this is realized in 2+1 dimensions. There, the Fefferman-Graham fields reduce to the generators of the Virasoro algebra and give the mass and the angular momentum of the BTZ black holes. Their local expression is the Liouville field in a general curved background.

[ { "created": "Fri, 18 Feb 2000 15:33:49 GMT", "version": "v1" }, { "created": "Fri, 3 Mar 2000 15:22:30 GMT", "version": "v2" } ]

2009-10-31

[ [ "Bautier", "K.", "" ], [ "Englert", "F.", "" ], [ "Rooman", "M.", "" ], [ "Spindel", "Ph.", "" ] ]

Asymptotically anti-de Sitter space-times in pure gravity with negative cosmological constant are described, in all space-time dimensions greater than two, by classical degrees of freedom on the conformal boundary at space-like infinity. Their effective boundary action has a conformal anomaly for even dimensions and is conformally invariant for odd ones. These degrees of freedom are encoded in traceless tensor fields in the Fefferman-Graham asymptotic metric for any choice of conformally flat boundary and generate all Schwarzschild and Kerr black holes in anti-de Sitter space-time. We argue that these fields describe components of an energy-momentum tensor of a boundary theory and show explicitly how this is realized in 2+1 dimensions. There, the Fefferman-Graham fields reduce to the generators of the Virasoro algebra and give the mass and the angular momentum of the BTZ black holes. Their local expression is the Liouville field in a general curved background.

8.359075

8.665437

8.993761

7.823874

8.285132

8.531609

8.653955

8.173246

8.080022

9.304523

8.062315

7.69686

7.836465

7.677659

7.83496

7.713966

7.800388

7.821665

8.259452

7.925711

7.832578

1902.07211

James Edwards Prof

James P. Edwards and Mariana Kirchbach

Massless Rarita-Schwinger field from a divergenceless anti-symmetric-tensor spinor of pure spin-$3/2$

18 pages. Updated to journal version

International Journal of Modern Physics A Vol. 34, No. 11, 1950060 (2019)

10.1142/S0217751X1950060X

null

hep-th math-ph math.MP

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

We construct the Rarita-Schwinger basis vectors, $U^\mu$, spanning the direct product space, $U^\mu:=A^\mu\otimes u_M$, of a massless four-vector, $ A^\mu $, with massless Majorana spinors, $u_M$, together with the associated field-strength tensor, ${\mathcal T}^{\mu\nu}:=p^\mu U^\nu -p^\nu U^\mu$. The ${\mathcal T}^{\mu\nu}$ space is reducible and contains one massless subspace of a pure spin-$3/2$ $\in (3/2,0)\oplus (0,3/2)$. We show how to single out the latter in a unique way by acting on ${\mathcal T}^{\mu\nu}$ with an earlier derived momentum independent projector, ${\mathcal P}^{(3/2,0)}$, properly constructed from one of the Casimir operators of the algebra $so(1,3)$ of the homogeneous Lorentz group. In this way it becomes possible to describe the irreducible massless $(3/2,0)\oplus (0,3/2)$ carrier space by means of the anti-symmetric-tensor of second rank with Majorana spinor components, defined as $\left[ w^{(3/2,0) }\right]^{\mu\nu}:=\left[{\mathcal P}^{(3/2,0)}\right]^{\mu \nu}\,\,_{\gamma\delta}{\mathcal T}^{\gamma \delta }$. The conclusion is that the $(3/2,0)\oplus (0,3/2)$ bi-vector spinor field can play the same role with respect to a $U^\mu$ gauge field as the bi-vector, $(1,0)\oplus (0,1)$, associated with the electromagnetic field-strength tensor, $F_{\mu\nu}$, plays for the Maxwell gauge field, $A_\mu$. Correspondingly, we find the free electromagnetic field equation, $p^\mu F_{\mu\nu}=0$, is paralleled by the free massless Rarita-Schwinger field equation, $p^\mu \left[ w^{(3/2,0)}\right]_{\mu\nu}=0$, supplemented by the additional condition, $\gamma^\mu\gamma^\nu \left[ w^{(3/2,0)}\right]_{\mu \nu} =0$, a constraint that invokes the Majorana sector.

[ { "created": "Tue, 19 Feb 2019 03:19:18 GMT", "version": "v1" }, { "created": "Sun, 2 Jun 2019 15:57:55 GMT", "version": "v2" } ]

2019-06-04

[ [ "Edwards", "James P.", "" ], [ "Kirchbach", "Mariana", "" ] ]

We construct the Rarita-Schwinger basis vectors, $U^\mu$, spanning the direct product space, $U^\mu:=A^\mu\otimes u_M$, of a massless four-vector, $ A^\mu $, with massless Majorana spinors, $u_M$, together with the associated field-strength tensor, ${\mathcal T}^{\mu\nu}:=p^\mu U^\nu -p^\nu U^\mu$. The ${\mathcal T}^{\mu\nu}$ space is reducible and contains one massless subspace of a pure spin-$3/2$ $\in (3/2,0)\oplus (0,3/2)$. We show how to single out the latter in a unique way by acting on ${\mathcal T}^{\mu\nu}$ with an earlier derived momentum independent projector, ${\mathcal P}^{(3/2,0)}$, properly constructed from one of the Casimir operators of the algebra $so(1,3)$ of the homogeneous Lorentz group. In this way it becomes possible to describe the irreducible massless $(3/2,0)\oplus (0,3/2)$ carrier space by means of the anti-symmetric-tensor of second rank with Majorana spinor components, defined as $\left[ w^{(3/2,0) }\right]^{\mu\nu}:=\left[{\mathcal P}^{(3/2,0)}\right]^{\mu \nu}\,\,_{\gamma\delta}{\mathcal T}^{\gamma \delta }$. The conclusion is that the $(3/2,0)\oplus (0,3/2)$ bi-vector spinor field can play the same role with respect to a $U^\mu$ gauge field as the bi-vector, $(1,0)\oplus (0,1)$, associated with the electromagnetic field-strength tensor, $F_{\mu\nu}$, plays for the Maxwell gauge field, $A_\mu$. Correspondingly, we find the free electromagnetic field equation, $p^\mu F_{\mu\nu}=0$, is paralleled by the free massless Rarita-Schwinger field equation, $p^\mu \left[ w^{(3/2,0)}\right]_{\mu\nu}=0$, supplemented by the additional condition, $\gamma^\mu\gamma^\nu \left[ w^{(3/2,0)}\right]_{\mu \nu} =0$, a constraint that invokes the Majorana sector.

4.381187

4.874083

4.492137

4.337003

4.672103

4.639819

4.623007

4.534778

4.441442

4.458157

4.517647

4.502335

4.396032

4.295601

4.454368

4.32599

4.337144

4.431072

4.424479

4.35924

4.425549

hep-th/0005205

Chang-Yeong Lee

Eunsang Kim, Hoil Kim, Chang-Yeong Lee

Matrix Theory Compactification on Noncommutative $T^4/Z_2$

19 pages, LaTeX, review part shortened and corrected

J.Math.Phys. 42 (2001) 2677-2688

10.1063/1.1371265

UTTG-10-00

hep-th

null

In this paper, we construct gauge bundles on a noncommutative toroidal orbifold $T^4_\theta/Z_2$. First, we explicitly construct a bundle with constant curvature connections on a noncommutative $T^4_\theta$ following Rieffel's method. Then, applying the appropriate quotient conditions for its $Z_2$ orbifold, we find a Connes-Douglas-Schwarz type solution of matrix theory compactified on $T^4_\theta/Z_2$. When we consider two copies of a bundle on $T^4_\theta$ invariant under the $Z_2$ action, the resulting Higgs branch moduli space of equivariant constant curvature connections becomes an ordinary toroidal orbifold $T^4/Z_2$.

[ { "created": "Mon, 22 May 2000 22:02:25 GMT", "version": "v1" }, { "created": "Fri, 1 Sep 2000 02:53:19 GMT", "version": "v2" }, { "created": "Thu, 22 Feb 2001 21:40:40 GMT", "version": "v3" } ]

2009-10-31

[ [ "Kim", "Eunsang", "" ], [ "Kim", "Hoil", "" ], [ "Lee", "Chang-Yeong", "" ] ]

In this paper, we construct gauge bundles on a noncommutative toroidal orbifold $T^4_\theta/Z_2$. First, we explicitly construct a bundle with constant curvature connections on a noncommutative $T^4_\theta$ following Rieffel's method. Then, applying the appropriate quotient conditions for its $Z_2$ orbifold, we find a Connes-Douglas-Schwarz type solution of matrix theory compactified on $T^4_\theta/Z_2$. When we consider two copies of a bundle on $T^4_\theta$ invariant under the $Z_2$ action, the resulting Higgs branch moduli space of equivariant constant curvature connections becomes an ordinary toroidal orbifold $T^4/Z_2$.

6.621019

6.396122

7.739814

6.066664

6.767804

6.433329

6.525656

6.36947

5.866343

8.852542

6.450723

6.410108

7.178918

6.30168

6.627162

6.412485

6.429195

6.131679

6.228512

7.166265

6.394254

1002.3298

Jan Ambjorn

J. Ambjorn, A. Gorlich, S. Jordan, J. Jurkiewicz and R. Loll

CDT meets Horava-Lifshitz gravity

17 pages, 3 figures. Typos corrected, a few remarks added.

Phys.Lett.B690:413-419,2010

10.1016/j.physletb.2010.05.054

null

hep-th gr-qc hep-lat

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

The theory of causal dynamical triangulations (CDT) attempts to define a nonperturbative theory of quantum gravity as a sum over space-time geometries. One of the ingredients of the CDT framework is a global time foliation, which also plays a central role in the quantum gravity theory recently formulated by Ho\v{r}ava. We show that the phase diagram of CDT bears a striking resemblance with the generic Lifshitz phase diagram appealed to by Ho\v{r}ava. We argue that CDT might provide a unifying nonperturbative framework for anisotropic as well as isotropic theories of quantum gravity.

[ { "created": "Wed, 17 Feb 2010 16:10:03 GMT", "version": "v1" }, { "created": "Tue, 6 Apr 2010 12:08:04 GMT", "version": "v2" } ]

2014-11-20

[ [ "Ambjorn", "J.", "" ], [ "Gorlich", "A.", "" ], [ "Jordan", "S.", "" ], [ "Jurkiewicz", "J.", "" ], [ "Loll", "R.", "" ] ]

The theory of causal dynamical triangulations (CDT) attempts to define a nonperturbative theory of quantum gravity as a sum over space-time geometries. One of the ingredients of the CDT framework is a global time foliation, which also plays a central role in the quantum gravity theory recently formulated by Ho\v{r}ava. We show that the phase diagram of CDT bears a striking resemblance with the generic Lifshitz phase diagram appealed to by Ho\v{r}ava. We argue that CDT might provide a unifying nonperturbative framework for anisotropic as well as isotropic theories of quantum gravity.

5.582767

5.111383

5.69459

5.213226

5.785251

5.509042

5.595877

5.110363

4.869097

5.147732

5.092144

5.29814

5.324813

5.390829

5.220467

5.122808

5.29144

5.185789

5.353498

5.51474

5.211545

hep-th/0512056

Natalia Shuhmaher

Natalia Shuhmaher and Robert Brandenberger

Brane gas-driven bulk expansion as a precursor stage to brane inflation

5 pages, no figures, same as published one

Phys.Rev.Lett. 96 (2006) 161301

10.1103/PhysRevLett.96.161301

null

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

null

We propose a new way of obtaining slow-roll inflation in the context of higher dimensional models motivated by string and M theory. In our model, all extra spatial dimensions are orbifolded. The initial conditions are taken to be a hot dense bulk brane gas which drives an initial phase of isotropic bulk expansion. This phase ends when a weak potential between the orbifold fixed planes begins to dominate. For a wide class of potentials, a period during which the bulk dimensions decrease sufficiently slowly to lead to slow-roll inflation of the three dimensions parallel to the orbifold fixed planes will result. Once the separation between the orbifold fixed planes becomes of the string scale, a repulsive potential due to string effects takes over and leads to a stabilization of the radion modes. The conversion of bulk branes into radiation during the phase of bulk contraction leads to reheating.

[ { "created": "Mon, 5 Dec 2005 21:43:50 GMT", "version": "v1" }, { "created": "Tue, 25 Apr 2006 21:06:02 GMT", "version": "v2" } ]

2007-05-23

[ [ "Shuhmaher", "Natalia", "" ], [ "Brandenberger", "Robert", "" ] ]

We propose a new way of obtaining slow-roll inflation in the context of higher dimensional models motivated by string and M theory. In our model, all extra spatial dimensions are orbifolded. The initial conditions are taken to be a hot dense bulk brane gas which drives an initial phase of isotropic bulk expansion. This phase ends when a weak potential between the orbifold fixed planes begins to dominate. For a wide class of potentials, a period during which the bulk dimensions decrease sufficiently slowly to lead to slow-roll inflation of the three dimensions parallel to the orbifold fixed planes will result. Once the separation between the orbifold fixed planes becomes of the string scale, a repulsive potential due to string effects takes over and leads to a stabilization of the radion modes. The conversion of bulk branes into radiation during the phase of bulk contraction leads to reheating.

9.627324

9.853435

10.24958

9.768488

9.587678

9.000003

9.928506

10.613008

9.944153

11.084004

9.494099

9.678388

9.88275

9.35868

9.335719

9.346694

9.380559

9.555202

9.301478

9.88689

9.266265

1110.6901

Saul Ramos-Sanchez

Mark Goodsell, Saul Ramos-Sanchez, Andreas Ringwald

Kinetic Mixing of U(1)s in Heterotic Orbifolds

28 pages

null

10.1007/JHEP01(2012)021

CERN-PH-TH/2011-253; DESY 11-184

hep-th hep-ph

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

We study kinetic mixing between massless U(1) gauge symmetries in the bosonic formulation of heterotic orbifold compactifications. For non-prime Z_N factorisable orbifolds, we find a simple expression of the mixing in terms of the properties of the N=2 subsectors, which helps understand under what conditions mixing can occur. With this tool, we analyse Z_6-II heterotic orbifolds and find non-vanishing mixing even without including Wilson lines. We show that some semi-realistic models of the Mini-Landscape admit supersymmetric vacua with mixing between the hypercharge and an additional U(1), which can be broken at low energies. We finally discuss some phenomenologically appealing possibilities that hidden photons in heterotic orbifolds allow.

[ { "created": "Mon, 31 Oct 2011 18:50:40 GMT", "version": "v1" } ]

2015-06-03

[ [ "Goodsell", "Mark", "" ], [ "Ramos-Sanchez", "Saul", "" ], [ "Ringwald", "Andreas", "" ] ]

We study kinetic mixing between massless U(1) gauge symmetries in the bosonic formulation of heterotic orbifold compactifications. For non-prime Z_N factorisable orbifolds, we find a simple expression of the mixing in terms of the properties of the N=2 subsectors, which helps understand under what conditions mixing can occur. With this tool, we analyse Z_6-II heterotic orbifolds and find non-vanishing mixing even without including Wilson lines. We show that some semi-realistic models of the Mini-Landscape admit supersymmetric vacua with mixing between the hypercharge and an additional U(1), which can be broken at low energies. We finally discuss some phenomenologically appealing possibilities that hidden photons in heterotic orbifolds allow.

8.445719

9.245836

10.935531

8.50063

9.895452

9.75594

9.254151

8.950815

9.061371

9.391132

9.010975

8.357364

8.820852

8.485572

8.360954

8.589689

8.52028

8.497433

8.152532

8.824044

8.467471

1205.4684

Anton Rebhan

Anton Rebhan and Dominik Steineder

Probing Two Holographic Models of Strongly Coupled Anisotropic Plasma

JHEP style, 26 pages, 10 figures. v2: references added, slightly extended discussion of comparison with hard anisotropic loop results and correspondingly updated fig. 6 (version to appear in JHEP)

null

10.1007/JHEP08(2012)020

TUW-12-15

hep-th hep-ph nucl-th

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

Quark-gluon plasma during its initial phase after its production in heavy-ion collisions is expected to have substantial pressure anisotropies. In order to model this situation by a strongly coupled N=4 super-Yang-Mills plasma with fixed anisotropy by means of AdS/CFT duality, two models have been discussed in the literature. Janik and Witaszczyk have considered a geometry involving a comparatively benign naked singularity, while more recently Mateos and Trancanelli have used a regular geometry involving a nontrivial axion field dual to a parity-odd deformation of the gauge theory by a spatially varying theta parameter. We study the (rather different) implications of these two models on the heavy-quark potential as well as jet quenching and compare their respective predictions with those of weakly coupled anisotropic plasmas.

[ { "created": "Mon, 21 May 2012 18:48:23 GMT", "version": "v1" }, { "created": "Fri, 27 Jul 2012 09:42:45 GMT", "version": "v2" } ]

2015-06-05

[ [ "Rebhan", "Anton", "" ], [ "Steineder", "Dominik", "" ] ]

Quark-gluon plasma during its initial phase after its production in heavy-ion collisions is expected to have substantial pressure anisotropies. In order to model this situation by a strongly coupled N=4 super-Yang-Mills plasma with fixed anisotropy by means of AdS/CFT duality, two models have been discussed in the literature. Janik and Witaszczyk have considered a geometry involving a comparatively benign naked singularity, while more recently Mateos and Trancanelli have used a regular geometry involving a nontrivial axion field dual to a parity-odd deformation of the gauge theory by a spatially varying theta parameter. We study the (rather different) implications of these two models on the heavy-quark potential as well as jet quenching and compare their respective predictions with those of weakly coupled anisotropic plasmas.

8.252646

8.223488

9.493232

7.851845

8.655092

8.406758

8.267996

7.672514

7.599477

9.300352

7.93405

7.567639

7.790628

7.619507

7.838205

7.933279

7.84581

8.237872

7.808942

7.873556

7.939767

2108.04856

Maxim Kurkov

Maxim Kurkov and Patrizia Vitale

Four-dimensional noncommutative deformations of $U(1)$ gauge theory and $L_{\infty}$ bootstrap

16 pages, revised version, accepted for publication in JHEP

null

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

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

We construct a family of four-dimensional noncommutative deformations of $U(1)$ gauge theory following a general scheme, recently proposed in JHEP 08 (2020) 041 for a class of coordinate-dependent noncommutative algebras. This class includes the $\mathfrak{su}(2)$, the $\mathfrak{su}(1,1)$ and the angular (or $\lambda$-Minkowski) noncommutative structures. We find that the presence of a fourth, commutative coordinate $x^0$ leads to substantial novelties in the expression for the deformed field strength with respect to the corresponding three-dimensional case. The constructed field theoretical models are Poisson gauge theories, which correspond to the semi-classical limit of fully noncommutative gauge theories. Our expressions for the deformed gauge transformations, the deformed field strength and the deformed classical action exhibit flat commutative limits and they are exact in the sense that all orders in the deformation parameter are present. We review the connection of the formalism with the $L_{\infty}$ bootstrap and with symplectic embeddings, and derive the $L_{\infty}$-algebra, which underlies our model.

[ { "created": "Tue, 10 Aug 2021 18:14:40 GMT", "version": "v1" }, { "created": "Tue, 21 Dec 2021 22:22:07 GMT", "version": "v2" } ]

2021-12-23

[ [ "Kurkov", "Maxim", "" ], [ "Vitale", "Patrizia", "" ] ]

We construct a family of four-dimensional noncommutative deformations of $U(1)$ gauge theory following a general scheme, recently proposed in JHEP 08 (2020) 041 for a class of coordinate-dependent noncommutative algebras. This class includes the $\mathfrak{su}(2)$, the $\mathfrak{su}(1,1)$ and the angular (or $\lambda$-Minkowski) noncommutative structures. We find that the presence of a fourth, commutative coordinate $x^0$ leads to substantial novelties in the expression for the deformed field strength with respect to the corresponding three-dimensional case. The constructed field theoretical models are Poisson gauge theories, which correspond to the semi-classical limit of fully noncommutative gauge theories. Our expressions for the deformed gauge transformations, the deformed field strength and the deformed classical action exhibit flat commutative limits and they are exact in the sense that all orders in the deformation parameter are present. We review the connection of the formalism with the $L_{\infty}$ bootstrap and with symplectic embeddings, and derive the $L_{\infty}$-algebra, which underlies our model.

7.204863

6.659211

7.595453

6.770479

7.244445

6.794956

7.104498

6.494236

6.785898

7.272096

6.813336

6.57213

7.036998

6.844569

6.834079

6.840062

6.974347

6.83113

6.924373

7.035766

6.992927

1009.3939

Valentina Forini

Quark-antiquark potential in AdS at one loop

16 pages. Typos corrected, minor changes

JHEP 1011:079,2010

10.1007/JHEP11(2010)079

AEI-2010-150

hep-th

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

We derive an exact analytical expression for the one-loop partition function of a string in AdS_5xS^5 background with world-surface ending on two anti-parallel lines. All quantum fluctuations are shown to be governed by integrable, single-gap Lame' operators. The first strong coupling correction to the quark-antiquark potential, as defined in N=4 SYM, is derived as the sum of known mathematical constants and a one-dimensional integral representation. Its full numerical value can be given with arbitrary precision and confirms a previous result.

[ { "created": "Mon, 20 Sep 2010 20:03:00 GMT", "version": "v1" }, { "created": "Mon, 4 Oct 2010 13:47:22 GMT", "version": "v2" } ]

2011-06-21

[ [ "Forini", "Valentina", "" ] ]

We derive an exact analytical expression for the one-loop partition function of a string in AdS_5xS^5 background with world-surface ending on two anti-parallel lines. All quantum fluctuations are shown to be governed by integrable, single-gap Lame' operators. The first strong coupling correction to the quark-antiquark potential, as defined in N=4 SYM, is derived as the sum of known mathematical constants and a one-dimensional integral representation. Its full numerical value can be given with arbitrary precision and confirms a previous result.

13.542654

12.018282

15.785599

11.65904

11.703933

12.380641

11.465733

11.293537

11.774728

17.280746

12.507283

12.223899

13.787455

12.616447

12.148028

12.485644

12.738685

12.083008

12.371694

14.107315

12.610384

1305.2069

Chunshan Lin

SO(3) massive gravity

5 pages, 1 figure, V2: some typos corrected, remove some remarks about sound speed; V3: add some comments about Minkowskian solution, and more references; V4: published version

Phys.Lett. B727 (2013) 31-36

10.1016/j.physletb.2013.10.031

null

hep-th astro-ph.CO gr-qc

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

In this paper, we propose a massive gravity theory with 5 degrees of freedom. The mass term is constructed by 3 Stuckelberg scalar fields, which respects SO(3) symmetry in the fields' configuration. By the analysis on the linear cosmological perturbations, we found that such 5 d.o.f are free from ghost instability, gradiant instability, and tachyonic instability.

[ { "created": "Thu, 9 May 2013 12:15:54 GMT", "version": "v1" }, { "created": "Fri, 10 May 2013 16:12:29 GMT", "version": "v2" }, { "created": "Mon, 20 May 2013 17:53:18 GMT", "version": "v3" }, { "created": "Tue, 5 Aug 2014 05:30:11 GMT", "version": "v4" } ]

2014-08-06

[ [ "Lin", "Chunshan", "" ] ]

In this paper, we propose a massive gravity theory with 5 degrees of freedom. The mass term is constructed by 3 Stuckelberg scalar fields, which respects SO(3) symmetry in the fields' configuration. By the analysis on the linear cosmological perturbations, we found that such 5 d.o.f are free from ghost instability, gradiant instability, and tachyonic instability.

9.600206

9.643604

8.586849

7.872929

8.752687

9.210999

8.302559

8.054677

9.124499

9.862085

9.645683

7.882644

7.665826

7.334159

7.906326

7.847949

7.603498

7.522079

7.824069

8.114614

8.548489

hep-th/0509214

Ashish Saxena

Ashish Saxena, Geoff Potvin, Stefano Giusto and Amanda W. Peet

Smooth geometries with four charges in four dimensions

1+32 pages, LaTeX, v2: references added, typographical errors corrected

JHEP0604:010,2006

10.1088/1126-6708/2006/04/010

null

hep-th

null

A class of axially symmetric, rotating four-dimensional geometries carrying D1, D5, KK monopole and momentum charges is constructed. The geometries are found to be free of horizons and singulaties, and are candidates to be the gravity duals of microstates of the (0,4) CFT. These geometries are constructed by performing singularity analysis on a suitably chosen class of solutions of six-dimensional minimal supergravity written over a Gibbons-Hawking base metric. The properties of the solutions raise some interesting questions regarding the CFT.

[ { "created": "Wed, 28 Sep 2005 16:14:02 GMT", "version": "v1" }, { "created": "Thu, 1 Dec 2005 21:10:44 GMT", "version": "v2" } ]

2009-11-11

[ [ "Saxena", "Ashish", "" ], [ "Potvin", "Geoff", "" ], [ "Giusto", "Stefano", "" ], [ "Peet", "Amanda W.", "" ] ]

A class of axially symmetric, rotating four-dimensional geometries carrying D1, D5, KK monopole and momentum charges is constructed. The geometries are found to be free of horizons and singulaties, and are candidates to be the gravity duals of microstates of the (0,4) CFT. These geometries are constructed by performing singularity analysis on a suitably chosen class of solutions of six-dimensional minimal supergravity written over a Gibbons-Hawking base metric. The properties of the solutions raise some interesting questions regarding the CFT.

11.289418

9.603702

12.400008

9.806057

9.779611

10.217278

9.797703

9.406022

9.476745

12.298589

9.326758

9.069228

11.026484

9.810235

9.530748

9.486119

9.494689

9.89656

9.283761

11.118995

9.475154

1510.02200

Kentaro Tanabe

Black rings at large D

43 pages, 5 figures, published version in JHEP

null

10.1007/JHEP02(2016)151

KEK-TH-1867

hep-th gr-qc

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

We study the effective theory of slowly rotating black holes at the infinite limit of the spacetime dimension D. This large D effective theory is obtained by integrating the Einstein equation with respect to the radial direction. The effective theory gives equations for non-linear dynamical deformations of the slowly rotating black hole as effective equations. The effective equations contain the slowly rotating Myers-Perry black hole, slowly boosted black string, non-uniform black string and black ring as stationary solutions. We obtain an analytic solution of the black ring by solving the effective equations. Furthermore, by perturbation analysis of the effective equations, we find a quasinormal mode condition of the black ring in analytic way. As a result we confirm that thin black ring is unstable against non-axisymmetric perturbations. We also include 1/D corrections to the effective equations and discuss the effects by 1/D corrections.

[ { "created": "Thu, 8 Oct 2015 05:00:36 GMT", "version": "v1" }, { "created": "Tue, 1 Mar 2016 01:29:10 GMT", "version": "v2" } ]

2016-03-23

[ [ "Tanabe", "Kentaro", "" ] ]

We study the effective theory of slowly rotating black holes at the infinite limit of the spacetime dimension D. This large D effective theory is obtained by integrating the Einstein equation with respect to the radial direction. The effective theory gives equations for non-linear dynamical deformations of the slowly rotating black hole as effective equations. The effective equations contain the slowly rotating Myers-Perry black hole, slowly boosted black string, non-uniform black string and black ring as stationary solutions. We obtain an analytic solution of the black ring by solving the effective equations. Furthermore, by perturbation analysis of the effective equations, we find a quasinormal mode condition of the black ring in analytic way. As a result we confirm that thin black ring is unstable against non-axisymmetric perturbations. We also include 1/D corrections to the effective equations and discuss the effects by 1/D corrections.

8.252273

7.350083

8.569064

7.455174

7.91678

8.373346

7.839999

7.027052

7.601094

8.281662

7.41801

7.990843

8.158621

7.823125

8.061456

7.671772

7.75678

7.967474

7.906196

8.543393

7.92432

hep-th/9607142

Anjan Kundu

Generation of Integrable Quantum Nonultralocal Model through Braided Yang-Baxter Equation

6 pages, latex, no figures, invited talk at the Int. Conf. on Problems in QFT ( Alushta, May 13-18, 1996), to appear in the proceedings

null

SINP-TNP/96-12

hep-th

null

Formulating quantum integrability for nonultralocal models (NM) parallel to the familiar approach of inverse scattering method is a long standing problem. After reviewing our result regarding algebraic structures of ultralocal models, we look for the algebra underlying NM. We propose an universal equation represented by braided Yang-Baxter equation and able to derive all basic equations of the known models like WZWN model, nonabelian Toda chain, quantum mapping etc. As further useful application we discover new integrable quantum NM, e.g. mKdV model, anyonic model, Kundu-Eckhaus equation and derive SUSY models and reflection equation from the nonultralocal view point.

[ { "created": "Wed, 17 Jul 1996 14:00:47 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kundu", "Anjan", "" ] ]

Formulating quantum integrability for nonultralocal models (NM) parallel to the familiar approach of inverse scattering method is a long standing problem. After reviewing our result regarding algebraic structures of ultralocal models, we look for the algebra underlying NM. We propose an universal equation represented by braided Yang-Baxter equation and able to derive all basic equations of the known models like WZWN model, nonabelian Toda chain, quantum mapping etc. As further useful application we discover new integrable quantum NM, e.g. mKdV model, anyonic model, Kundu-Eckhaus equation and derive SUSY models and reflection equation from the nonultralocal view point.

23.857733

21.952845

27.969772

22.428614

23.100906

22.493567

22.520514

22.300726

22.145464

29.443037

21.010633

21.654415

22.887484

21.555906

22.140982

21.563166

21.745928

21.669336

20.866417

23.009825

20.698362

2302.14068

Muldrow Etheredge

Muldrow Etheredge, I\~naki Garc\'ia Etxebarria, Ben Heidenreich, Sebastian Rauch

Branes and symmetries for $\mathcal N=3$ S-folds

null

hep-th

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

We describe the higher-form and non-invertible symmetries of 4d $\mathcal N= 3$ S-folds using the brane dynamics of their holographic duals. In cases with enhancement to $\mathcal N=4$ supersymmetry, our analysis reproduces the known field theory results of Aharony, Seiberg and Tachikawa, and is compatible with the effective action recently given by Bergman and Hirano. Likewise, for two specific $\mathcal N=3$ theories for which Zafrir has conjectured $\mathcal N=1$ Lagrangians our results agree with those implied by the Lagrangian description. In all other cases, our results imply novel predictions about the symmetries of the corresponding $\mathcal N=3$ field theories.

[ { "created": "Mon, 27 Feb 2023 19:00:01 GMT", "version": "v1" } ]

2023-03-01

[ [ "Etheredge", "Muldrow", "" ], [ "Etxebarria", "Iñaki García", "" ], [ "Heidenreich", "Ben", "" ], [ "Rauch", "Sebastian", "" ] ]

We describe the higher-form and non-invertible symmetries of 4d $\mathcal N= 3$ S-folds using the brane dynamics of their holographic duals. In cases with enhancement to $\mathcal N=4$ supersymmetry, our analysis reproduces the known field theory results of Aharony, Seiberg and Tachikawa, and is compatible with the effective action recently given by Bergman and Hirano. Likewise, for two specific $\mathcal N=3$ theories for which Zafrir has conjectured $\mathcal N=1$ Lagrangians our results agree with those implied by the Lagrangian description. In all other cases, our results imply novel predictions about the symmetries of the corresponding $\mathcal N=3$ field theories.

7.528095

6.852713

8.967931

6.934248

7.260956

6.811222

7.171342

7.057961

6.900717

10.471429

6.789184

7.307971

7.785414

7.012877

7.138334

6.951833

6.956616

6.81924

6.864156

7.58462

6.75254

hep-th/9312079

Takashi Suzuki

More on $U_q(su(1,1))$ with $q$ a Root of Unity

24 pages

J.Math.Phys. 35 (1994) 6857-6874

10.1063/1.530646

Edinburgh/92-93/05

hep-th math.QA

null

Highest weight representations of $U_q(su(1,1))$ with $q=\exp \pi i/N$ are investigated. The structures of the irreducible hieghesat weight modules are discussed in detail. The Clebsch-Gordan decomposition for the tensor product of two irreducible representations is discussed. By using the results, a representation of $SL(2,R)\otimes U_q(su(2))$ is also presented in terms of holomorphic sections which also have $U_q(su(2))$ index. Furthermore we realise $Z_N$-graded supersymmetry in terms of the representation. An explicit realization of $Osp(1 \vert 2)$ via the heighest weight representation of $U_q(su(1,1))$ with $q^2=-1$ is given.

[ { "created": "Fri, 10 Dec 1993 10:04:51 GMT", "version": "v1" } ]

2009-10-22

[ [ "Suzuki", "Takashi", "" ] ]

Highest weight representations of $U_q(su(1,1))$ with $q=\exp \pi i/N$ are investigated. The structures of the irreducible hieghesat weight modules are discussed in detail. The Clebsch-Gordan decomposition for the tensor product of two irreducible representations is discussed. By using the results, a representation of $SL(2,R)\otimes U_q(su(2))$ is also presented in terms of holomorphic sections which also have $U_q(su(2))$ index. Furthermore we realise $Z_N$-graded supersymmetry in terms of the representation. An explicit realization of $Osp(1 \vert 2)$ via the heighest weight representation of $U_q(su(1,1))$ with $q^2=-1$ is given.

7.562375

7.655919

7.541088

6.676113

7.098796

7.140436

6.980782

7.270185

6.865406

8.557014

6.813908

6.827411

7.316382

6.859747

6.829373

6.828314

6.830677

6.775076

6.966166

7.3875

6.887686

1407.3118

Mir Faizal

Multiverse in the Third Quantized Formalism

8 pages, 0 figures, accepted for publication in Comm. Theor. Phys

Comm. Theor. Phys. 62: 697, 2014

null

hep-th gr-qc

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

In this paper we will analyze the third quantization of gravity in path integral formalism. We will use the time-dependent version of Wheeler-DeWitt equation to analyze the multiverse in this formalism. We will propose a mechanism for baryogenesis to occurs in the multiverse, without violating the baryon number conservation.

[ { "created": "Fri, 11 Jul 2014 11:32:47 GMT", "version": "v1" }, { "created": "Wed, 16 Jul 2014 00:43:02 GMT", "version": "v2" } ]

2014-10-29

[ [ "Faizal", "Mir", "" ] ]

In this paper we will analyze the third quantization of gravity in path integral formalism. We will use the time-dependent version of Wheeler-DeWitt equation to analyze the multiverse in this formalism. We will propose a mechanism for baryogenesis to occurs in the multiverse, without violating the baryon number conservation.

8.998992

6.906862

7.171844

6.99438

7.12732

6.727872

7.520458

6.816989

7.509247

7.912611

7.277254

7.34897

7.569785

7.239913

7.177023

7.071935

7.19693

7.040315

7.511122

7.653377

7.329369

0909.3415

Matteo Siccardi

G.C. Rossi, M. Siccardi, Ya.S. Stanev, K. Yoshida

Matrix Model and beta-deformed N=4 SYM

25 pages, uses JHEP3.cls; v2: minor corrections, references added; matches published version

JHEP 0912:043,2009

10.1088/1126-6708/2009/12/043

ROM2F/2009/18

hep-th

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

This work is the result of the ideas developed by Ken Yoshida about the possibility of extending the range of applications of the matrix model approach to the computation of the holomorphic superpotential of the beta-deformed N=4 super Yang-Mills theory both in the presence of a mass term and in the massless limit. Our formulae, while agreeing with all the existing results we can compare with, are valid also in the case of spontaneously broken gauge symmetry. We dedicate this paper to the memory of Ken, an unforgettable friend for all of us and a great scientist.

[ { "created": "Fri, 18 Sep 2009 11:59:13 GMT", "version": "v1" }, { "created": "Tue, 2 Feb 2010 10:46:10 GMT", "version": "v2" } ]

2010-02-02

[ [ "Rossi", "G. C.", "" ], [ "Siccardi", "M.", "" ], [ "Stanev", "Ya. S.", "" ], [ "Yoshida", "K.", "" ] ]

This work is the result of the ideas developed by Ken Yoshida about the possibility of extending the range of applications of the matrix model approach to the computation of the holomorphic superpotential of the beta-deformed N=4 super Yang-Mills theory both in the presence of a mass term and in the massless limit. Our formulae, while agreeing with all the existing results we can compare with, are valid also in the case of spontaneously broken gauge symmetry. We dedicate this paper to the memory of Ken, an unforgettable friend for all of us and a great scientist.

10.328569

10.25711

11.262155

10.008633

10.542449

9.818427

10.973282

10.825873

10.227769

11.910903

9.479049

9.684908

9.657789

9.525812

9.681221

10.104539

9.72513

9.607531

9.336338

9.860115

9.335739

hep-th/0512264

Simon Dalley

S. Dalley

SU(N_c -> infinity) Lattice Data and Degrees of Freedom of the QCD string

9 pages, (v2) 2 refs added

Phys.Rev. D74 (2006) 014025

10.1103/PhysRevD.74.014025

SWAT/05/453

hep-th hep-ph

null

Lattice simulation data on the critical temperature and long-distance potential, that probe the degrees of freedom of the QCD string, are critically reviewed. It is emphasized that comparison of experimental or SU(N_c) lattice data, at finite number of colors N_c, with free string theory can be misleading due to string interactions. Large-N_c extrapolation of pure lattice gauge theory data, in both 3 and 4 dimensions, indicates that there are more worldsheet degrees of freedom than the purely massless transverse ones of the free Nambu-Goto string. The extra variables are consistent with massive modes of oscillation that effectively contribute like c ~ 1/2 conformal degrees of freedom to highly excited states. As a concrete example, the highly excited spectrum of the Chodos-Thorn relativistic string in 1+1 dimensions is analyzed, where there are no transverse oscillations. It is found that the asymptotic density of states for this model is characteristic of a c=1/2 conformal worldsheet theory. The observations made here should also constrain the backgrounds of holographic string models for QCD.

[ { "created": "Wed, 21 Dec 2005 15:53:48 GMT", "version": "v1" }, { "created": "Fri, 23 Dec 2005 12:17:34 GMT", "version": "v2" } ]

2009-11-11

[ [ "Dalley", "S.", "" ] ]

Lattice simulation data on the critical temperature and long-distance potential, that probe the degrees of freedom of the QCD string, are critically reviewed. It is emphasized that comparison of experimental or SU(N_c) lattice data, at finite number of colors N_c, with free string theory can be misleading due to string interactions. Large-N_c extrapolation of pure lattice gauge theory data, in both 3 and 4 dimensions, indicates that there are more worldsheet degrees of freedom than the purely massless transverse ones of the free Nambu-Goto string. The extra variables are consistent with massive modes of oscillation that effectively contribute like c ~ 1/2 conformal degrees of freedom to highly excited states. As a concrete example, the highly excited spectrum of the Chodos-Thorn relativistic string in 1+1 dimensions is analyzed, where there are no transverse oscillations. It is found that the asymptotic density of states for this model is characteristic of a c=1/2 conformal worldsheet theory. The observations made here should also constrain the backgrounds of holographic string models for QCD.

12.178737

12.50867

13.274619

12.193853

12.946601

13.754339

11.816369

11.627896

11.466191

13.47164

11.921345

10.985504

12.041258

11.462169

11.446389

11.583745

11.142406

11.523231

11.373446

11.588113

11.513216

hep-th/9801170

Roberto Casalbuoni, Geneva

R. Casalbuoni

Algebraic treatment of compactification on noncommutative tori

8 pages, Latex, shortened version as accepted for publication in Physics Letters

Phys.Lett. B431 (1998) 69-72

10.1016/S0370-2693(98)00542-5

UGVA-DPT/1998/01-996

hep-th

null

In this paper we study the compactification conditions of the M theory on D-dimensional noncommutative tori. The main tool used for this analysis is the algebra A(Z^D) of the projective representations of the abelian group Z^D. We exhibit the explicit solutions in the space of the multiplication algebra of A(Z^D), that is the algebra generated by right and left multiplications.

[ { "created": "Mon, 26 Jan 1998 14:45:59 GMT", "version": "v1" }, { "created": "Mon, 9 Feb 1998 08:09:26 GMT", "version": "v2" }, { "created": "Mon, 27 Apr 1998 12:27:38 GMT", "version": "v3" } ]

2009-10-31

[ [ "Casalbuoni", "R.", "" ] ]

In this paper we study the compactification conditions of the M theory on D-dimensional noncommutative tori. The main tool used for this analysis is the algebra A(Z^D) of the projective representations of the abelian group Z^D. We exhibit the explicit solutions in the space of the multiplication algebra of A(Z^D), that is the algebra generated by right and left multiplications.

10.52449

9.778549

10.68337

9.711136

10.702409

9.688868

9.864071

8.812815

9.167968

11.472624

9.109866

8.890862

9.583283

8.801677

8.757854

9.006661

8.969351

8.959113

8.911382

9.738149

8.805155

1210.4266

Thomas Ortiz

Thomas Ortiz, Henning Samtleben

SO(9) supergravity in two dimensions

35 pages, 1 figure

null

10.1007/JHEP01(2013)183

null

hep-th

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

We present maximal supergravity in two dimensions with gauge group SO(9). The construction is based on selecting the proper embedding of the gauge group into the infinite-dimensional symmetry group of the ungauged theory. The bosonic part of the Lagrangian is given by a (dilaton-)gravity coupled non-linear gauged sigma-model with Wess-Zumino term. We give explicit expressions for the fermionic sector, the Yukawa couplings and the scalar potential which supports a half-supersymmetric domain wall solution. The theory is expected to describe the low-energy effective action upon reduction on the D0-brane near-horizon warped AdS_2 x S^8 geometry, dual to the supersymmetric (BFSS) matrix quantum mechanics.

[ { "created": "Tue, 16 Oct 2012 06:51:52 GMT", "version": "v1" } ]

2015-06-11

[ [ "Ortiz", "Thomas", "" ], [ "Samtleben", "Henning", "" ] ]

We present maximal supergravity in two dimensions with gauge group SO(9). The construction is based on selecting the proper embedding of the gauge group into the infinite-dimensional symmetry group of the ungauged theory. The bosonic part of the Lagrangian is given by a (dilaton-)gravity coupled non-linear gauged sigma-model with Wess-Zumino term. We give explicit expressions for the fermionic sector, the Yukawa couplings and the scalar potential which supports a half-supersymmetric domain wall solution. The theory is expected to describe the low-energy effective action upon reduction on the D0-brane near-horizon warped AdS_2 x S^8 geometry, dual to the supersymmetric (BFSS) matrix quantum mechanics.

8.095523

7.307478

9.117777

7.274515

7.62391

7.79503

8.046965

6.67659

7.333686

10.376962

7.347948

7.256257

8.176073

7.407157

7.403698

7.548359

7.558861

7.421677

7.561204

8.266129

7.436461

0711.4511

Dmitriy Kulikov

D. A. Kulikov and R. S. Tutik

A new approach to the relativistic treatment of the fermion-boson system, based on the extension of the SL(2,C) group

v3: revised version (to appear in Mod. Phys. Lett. A)

Mod.Phys.Lett.A23:1829-1840,2008

10.1142/S0217732308027205

null

hep-th

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

A new technique for constructing the relativistic wave equation for the two-body system composed of the spin-1/2 and spin-0 particles is proposed. The method is based on the extension of the SL(2,C) group to the Sp(4,C) one. The obtained equation includes the interaction potentials, having both the Lorentz-vector and Lorentz-tensor structure, exactly describes the relativistic kinematics and possesses the correct one-particle limits. The comparison with results of other approaches to this problem is discussed.

[ { "created": "Wed, 28 Nov 2007 14:36:24 GMT", "version": "v1" }, { "created": "Thu, 29 Nov 2007 12:21:17 GMT", "version": "v2" }, { "created": "Tue, 15 Jul 2008 10:00:12 GMT", "version": "v3" } ]

2008-11-26

[ [ "Kulikov", "D. A.", "" ], [ "Tutik", "R. S.", "" ] ]

A new technique for constructing the relativistic wave equation for the two-body system composed of the spin-1/2 and spin-0 particles is proposed. The method is based on the extension of the SL(2,C) group to the Sp(4,C) one. The obtained equation includes the interaction potentials, having both the Lorentz-vector and Lorentz-tensor structure, exactly describes the relativistic kinematics and possesses the correct one-particle limits. The comparison with results of other approaches to this problem is discussed.

7.136052

6.833109

5.846708

5.958978

6.658424

6.428079

6.232624

6.299929

6.077302

6.550547

6.2953

6.511526

6.317215

6.452188

6.332444

6.56219

6.131785

6.657425

6.429338

6.455766

6.601467

2406.05772

Parthajit Biswas

Parthajit Biswas, Bobby Ezhuthachan, Arnab Kundu, Baishali Roy

Moving Mirrors, OTOCs and Scrambling

30 pages, 6 figures

null

hep-th

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

We explore the physics of scrambling in the moving mirror models, in which a two-dimensional CFT is subjected to a time-dependent boundary condition. It is well-known that by choosing an appropriate mirror profile, one can model quantum aspects of black holes in two-dimensions, ranging from Hawking radiation in an eternal black hole (for an "escaping mirror") to the recent realization of Page curve in evaporating black holes (for a "kink mirror"). We explore a class of OTOCs in the presence of such a boundary and explicitly demonstrate the following primary aspects: First, we show that the dynamical CFT data directly affect an OTOC and maximally chaotic scrambling occurs for the escaping mirror for a large-$c$ CFT with identity block dominance. We further show that the exponential growth of OTOC associated with the physics of scrambling yields a power-law growth in the model for evaporating black holes which demonstrates a unitary dynamics in terms of a Page curve. We also demonstrate that, by tuning a parameter, one can naturally interpolate between an exponential growth associated to scrambling and a power-law growth in unitary dynamics. Our work explicitly exhibits the role of higher-point functions in CFT dynamics as well as the distinction between scrambling and Page curve. We also discuss several future possibilities based on this class of models.

[ { "created": "Sun, 9 Jun 2024 13:11:02 GMT", "version": "v1" } ]

2024-06-11

[ [ "Biswas", "Parthajit", "" ], [ "Ezhuthachan", "Bobby", "" ], [ "Kundu", "Arnab", "" ], [ "Roy", "Baishali", "" ] ]

We explore the physics of scrambling in the moving mirror models, in which a two-dimensional CFT is subjected to a time-dependent boundary condition. It is well-known that by choosing an appropriate mirror profile, one can model quantum aspects of black holes in two-dimensions, ranging from Hawking radiation in an eternal black hole (for an "escaping mirror") to the recent realization of Page curve in evaporating black holes (for a "kink mirror"). We explore a class of OTOCs in the presence of such a boundary and explicitly demonstrate the following primary aspects: First, we show that the dynamical CFT data directly affect an OTOC and maximally chaotic scrambling occurs for the escaping mirror for a large-$c$ CFT with identity block dominance. We further show that the exponential growth of OTOC associated with the physics of scrambling yields a power-law growth in the model for evaporating black holes which demonstrates a unitary dynamics in terms of a Page curve. We also demonstrate that, by tuning a parameter, one can naturally interpolate between an exponential growth associated to scrambling and a power-law growth in unitary dynamics. Our work explicitly exhibits the role of higher-point functions in CFT dynamics as well as the distinction between scrambling and Page curve. We also discuss several future possibilities based on this class of models.

12.606822

13.836514

14.125318

11.507988

13.944141

12.385137

12.580793

11.972768

12.341098

13.608585

11.917343

12.143091

12.175676

11.805052

11.667372

11.877242

11.466591

11.745092

12.018002

12.038775

12.160048

0709.0655

Gian Paolo Vacca

P. L. Iafelice and G. P. Vacca

Colored Spin Systems, BKP Evolution and finite N_c effects

17 pages, 4 figures, references update, to appear on EPJC

Eur.Phys.J.C52:581-589,2007

10.1140/epjc/s10052-007-0429-x

null

hep-th

null

Even within the framework of the leading logarithmic approximation the eigenvalues of the BKP kernel for states of more than three reggeized gluons are unknown in general, contrary to the planar limit case where the problem becomes integrable. We consider a 4-gluon kernel for a finite number of colors and define some simple toy models for the configuration space dynamics, which are directly solvable with group theoretical methods. Then we study the dependence of the spectrum of these models with respect to the number of colors and make comparisons with the large limit case.

[ { "created": "Wed, 5 Sep 2007 13:53:14 GMT", "version": "v1" }, { "created": "Sun, 30 Sep 2007 14:33:03 GMT", "version": "v2" } ]

2008-11-26

[ [ "Iafelice", "P. L.", "" ], [ "Vacca", "G. P.", "" ] ]

Even within the framework of the leading logarithmic approximation the eigenvalues of the BKP kernel for states of more than three reggeized gluons are unknown in general, contrary to the planar limit case where the problem becomes integrable. We consider a 4-gluon kernel for a finite number of colors and define some simple toy models for the configuration space dynamics, which are directly solvable with group theoretical methods. Then we study the dependence of the spectrum of these models with respect to the number of colors and make comparisons with the large limit case.

15.747227

16.060513

13.040989

12.932681

16.595457

15.344648

16.248375

15.159793

13.513867

14.146982

16.477091

13.581203

12.842442

12.814516

14.054112

14.152323

14.08467

13.684079

13.350457

12.330786

13.183419

hep-th/9503031

Arefeva Irina

I.Ya.Aref'eva, P.B.Medvedev and A.P.Zubarev

$N$-point amplitudes for d=2 c=1 Discrete States from String Field Theory

12 pages, latex, 1 figure

Mod.Phys.Lett. A10 (1995) 2225-2238

10.1142/S0217732395002386

SMI-01-95

hep-th

null

Starting from string field theory for 2d gravity coupled to c=1 matter we analyze N-point off-shell tree amplitudes of discrete states. The amplitudes exhibit the pole structure and we use the oscillator representation to extract the residues. The residues are generated by a simple effective action. We show that the effective action can be directly deduced from a string field action in a special transversal-like gauge.

[ { "created": "Mon, 6 Mar 1995 08:36:35 GMT", "version": "v1" } ]

2015-06-26

[ [ "Aref'eva", "I. Ya.", "" ], [ "Medvedev", "P. B.", "" ], [ "Zubarev", "A. P.", "" ] ]

Starting from string field theory for 2d gravity coupled to c=1 matter we analyze N-point off-shell tree amplitudes of discrete states. The amplitudes exhibit the pole structure and we use the oscillator representation to extract the residues. The residues are generated by a simple effective action. We show that the effective action can be directly deduced from a string field action in a special transversal-like gauge.

14.309512

9.732411

15.921591

10.985196

11.753336

12.656674

12.110218

10.872298

11.058836

16.452108

11.651038

11.779277

13.694404

12.820677

12.633306

13.014728

12.806172

12.189264

13.05858

13.520874

12.632183

1709.08181

Kazuo Fujikawa

Characteristics of Chiral Anomaly in View of Various Applications

14 pages. Some explanations are added. This version is to be published in PRD

Phys. Rev. D 97, 016018 (2018)

10.1103/PhysRevD.97.016018

null

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

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

In view of the recent applications of chiral anomaly to various fields beyond particle physics, we discuss some basic aspects of chiral anomaly which may help deepen our understanding of chiral anomaly in particle physics also. It is first shown that Berry's phase (and its generalization) for the Weyl model $H =v_{F} \vec{\sigma}\cdot \vec{p}(t)$ assumes a monopole form at the exact adiabatic limit but deviates from it off the adiabatic limit and vanishes in the high frequency limit of the Fourier transform of $\vec{p}(t)$ for bounded $|\vec{p}(t)|$. An effective action, which is consistent with the non-adiabatic limit of Berry's phase, combined with the Bjorken-Johnson-Low prescription gives normal equal-time space-time commutators and no chiral anomaly. In contrast, an effective action with a monopole at the origin of the momentum space, which describes Berry's phase in the precise adiabatic limit but fails off the adiabatic limit, gives anomalous space-time commutators and a covariant anomaly to the gauge current. We regard this anomaly as an artifact of the postulated monopole and not a consequence of Berry's phase. As for the recent application of the chiral anomaly to the description of effective Weyl fermions in condensed matter and nuclear physics, which is closely related to the formulation of lattice chiral fermions, we point out that the chiral anomaly for each species doubler separately vanishes for a finite lattice spacing, contrary to the common assumption. Instead a general form of pair creation associated with the spectral flow for the Dirac sea with finite depth takes place. This view is supported by the Ginsparg-Wilson fermion, which defines a single Weyl fermion without doublers on the lattice and gives a well-defined index (anomaly) even for a finite lattice spacing.

[ { "created": "Sun, 24 Sep 2017 10:57:53 GMT", "version": "v1" }, { "created": "Thu, 11 Jan 2018 08:41:28 GMT", "version": "v2" } ]

2018-02-07

[ [ "Fujikawa", "Kazuo", "" ] ]

In view of the recent applications of chiral anomaly to various fields beyond particle physics, we discuss some basic aspects of chiral anomaly which may help deepen our understanding of chiral anomaly in particle physics also. It is first shown that Berry's phase (and its generalization) for the Weyl model $H =v_{F} \vec{\sigma}\cdot \vec{p}(t)$ assumes a monopole form at the exact adiabatic limit but deviates from it off the adiabatic limit and vanishes in the high frequency limit of the Fourier transform of $\vec{p}(t)$ for bounded $|\vec{p}(t)|$. An effective action, which is consistent with the non-adiabatic limit of Berry's phase, combined with the Bjorken-Johnson-Low prescription gives normal equal-time space-time commutators and no chiral anomaly. In contrast, an effective action with a monopole at the origin of the momentum space, which describes Berry's phase in the precise adiabatic limit but fails off the adiabatic limit, gives anomalous space-time commutators and a covariant anomaly to the gauge current. We regard this anomaly as an artifact of the postulated monopole and not a consequence of Berry's phase. As for the recent application of the chiral anomaly to the description of effective Weyl fermions in condensed matter and nuclear physics, which is closely related to the formulation of lattice chiral fermions, we point out that the chiral anomaly for each species doubler separately vanishes for a finite lattice spacing, contrary to the common assumption. Instead a general form of pair creation associated with the spectral flow for the Dirac sea with finite depth takes place. This view is supported by the Ginsparg-Wilson fermion, which defines a single Weyl fermion without doublers on the lattice and gives a well-defined index (anomaly) even for a finite lattice spacing.

8.371799

9.70336

9.13569

8.628917

9.519344

8.969689

9.114728

8.705423

8.535708

9.926756

8.618442

8.302588

8.36412

8.189262

8.166907

8.160354

8.360259

8.324567

8.315848

8.645894

8.217663

1508.00110

Adrian Koenigstein

Adrian Koenigstein, Francesco Giacosa, Dirk H. Rischke

Classical and quantum theory of the massive spin-two field

43 pages

null

10.1016/j.aop.2016.01.024

null

hep-th hep-ph

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

In this paper, we review classical and quantum field theory of massive non-interacting spin-two fields. We derive the equations of motion and Fierz-Pauli constraints via three different methods: the eigenvalue equations for the Casimir invariants of the Poincar\'{e} group, a Lagrangian approach, and a covariant Hamilton formalism. We also present the conserved quantities, the solution of the equations of motion in terms of polarization tensors, and the tree-level propagator. We then discuss canonical quantization by postulating commutation relations for creation and annihilation operators. We express the energy, momentum, and spin operators in terms of the former. As an application, quark-antiquark currents for tensor mesons are presented. In particular, the current for tensor mesons with quantum numbers $J^{PC}=2^{-+}$ is, to our knowledge, given here for the first time.

[ { "created": "Sat, 1 Aug 2015 11:21:14 GMT", "version": "v1" } ]

2016-03-23

[ [ "Koenigstein", "Adrian", "" ], [ "Giacosa", "Francesco", "" ], [ "Rischke", "Dirk H.", "" ] ]

In this paper, we review classical and quantum field theory of massive non-interacting spin-two fields. We derive the equations of motion and Fierz-Pauli constraints via three different methods: the eigenvalue equations for the Casimir invariants of the Poincar\'{e} group, a Lagrangian approach, and a covariant Hamilton formalism. We also present the conserved quantities, the solution of the equations of motion in terms of polarization tensors, and the tree-level propagator. We then discuss canonical quantization by postulating commutation relations for creation and annihilation operators. We express the energy, momentum, and spin operators in terms of the former. As an application, quark-antiquark currents for tensor mesons are presented. In particular, the current for tensor mesons with quantum numbers $J^{PC}=2^{-+}$ is, to our knowledge, given here for the first time.

6.198824

6.284348

6.285366

5.566587

5.892458

6.320606

6.005924

6.03098

5.876686

5.983261

5.747497

5.655054

5.847109

5.663531

5.718931

5.798801

5.838097

5.769889

5.701837

5.840239

5.739764

1402.1452

Adam Ritz

Xun Wang, Adam Ritz

Kerr-AdS Black Holes and Force-Free Magnetospheres

37 pages, 9 figures; v2: comments added and typos corrected

Phys. Rev. D 89, 106011 (2014)

10.1103/PhysRevD.89.106011

null

hep-th

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

We obtain analogs of the Blandford-Znajek split monopole solution for force-free magnetospheres around a slowly rotating Kerr-AdS black hole. For small black holes, we find an analytic solution to first order in the ratio of horizon radius to AdS scale, $r_H/l$, which exhibits a radial Poynting flux and for $r_H/l \rightarrow 0$ smoothly approaches the Blandford-Znajek configuration in an asymptotically flat Kerr background. However, for large Kerr-AdS black holes with $r_H/l > 1$, namely those for which the bulk black hole holographically describes the thermodynamics of a strongly-interacting boundary field theory, the existence of a globally well-defined timelike Killing vector external to the horizon suggests the absence of energy extraction through the Blandford-Znajek process. In this regime, we find that at least for slow rotation the force-free solution still exists but exhibits a range of angular velocities for the field lines, corresponding to the freedom in the dual field theory to rotate a magnetic field through a neutral plasma. As a byproduct of this work, we also obtain an analytic solution for a rotating monopole magnetosphere in pure AdS, analogous to the Michel solution in flat space.

[ { "created": "Thu, 6 Feb 2014 18:45:12 GMT", "version": "v1" }, { "created": "Mon, 10 Mar 2014 22:22:29 GMT", "version": "v2" } ]

2014-06-11

[ [ "Wang", "Xun", "" ], [ "Ritz", "Adam", "" ] ]

We obtain analogs of the Blandford-Znajek split monopole solution for force-free magnetospheres around a slowly rotating Kerr-AdS black hole. For small black holes, we find an analytic solution to first order in the ratio of horizon radius to AdS scale, $r_H/l$, which exhibits a radial Poynting flux and for $r_H/l \rightarrow 0$ smoothly approaches the Blandford-Znajek configuration in an asymptotically flat Kerr background. However, for large Kerr-AdS black holes with $r_H/l > 1$, namely those for which the bulk black hole holographically describes the thermodynamics of a strongly-interacting boundary field theory, the existence of a globally well-defined timelike Killing vector external to the horizon suggests the absence of energy extraction through the Blandford-Znajek process. In this regime, we find that at least for slow rotation the force-free solution still exists but exhibits a range of angular velocities for the field lines, corresponding to the freedom in the dual field theory to rotate a magnetic field through a neutral plasma. As a byproduct of this work, we also obtain an analytic solution for a rotating monopole magnetosphere in pure AdS, analogous to the Michel solution in flat space.

7.111709

7.40088

7.446611

6.857042

7.183115

7.600951

7.620123

7.025981

7.057585

8.02789

7.409879

6.801042

7.007258

6.914009

6.913658

7.12972

7.02319

6.936753

6.94139

7.186866

6.834094

1207.1438

Daniel Krefl

Daniel Krefl, Johannes Walcher

ABCD of Beta Ensembles and Topological Strings

33 pages, 1 figure

null

10.1007/JHEP11(2012)111

CERN-PH-TH-2012-189; UCB-PTH-12/11

hep-th

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

We study beta-ensembles with Bn, Cn, and Dn eigenvalue measure and their relation with refined topological strings. Our results generalize the familiar connections between local topological strings and matrix models leading to An measure, and illustrate that all those classical eigenvalue ensembles, and their topological string counterparts, are related one to another via various deformations and specializations, quantum shifts and discrete quotients. We review the solution of the Gaussian models via Macdonald identities, and interpret them as conifold theories. The interpolation between the various models is plainly apparent in this case. For general polynomial potential, we calculate the partition function in the multi-cut phase in a perturbative fashion, beyond tree-level in the large-N limit. The relation to refined topological string orientifolds on the corresponding local geometry is discussed along the way.

[ { "created": "Thu, 5 Jul 2012 20:00:04 GMT", "version": "v1" } ]

2015-06-05

[ [ "Krefl", "Daniel", "" ], [ "Walcher", "Johannes", "" ] ]

We study beta-ensembles with Bn, Cn, and Dn eigenvalue measure and their relation with refined topological strings. Our results generalize the familiar connections between local topological strings and matrix models leading to An measure, and illustrate that all those classical eigenvalue ensembles, and their topological string counterparts, are related one to another via various deformations and specializations, quantum shifts and discrete quotients. We review the solution of the Gaussian models via Macdonald identities, and interpret them as conifold theories. The interpolation between the various models is plainly apparent in this case. For general polynomial potential, we calculate the partition function in the multi-cut phase in a perturbative fashion, beyond tree-level in the large-N limit. The relation to refined topological string orientifolds on the corresponding local geometry is discussed along the way.

18.393799

18.441362

22.031832

18.599323

19.627443

19.982195

18.981743

17.891687

17.350576

23.21627

18.618731

17.387894

19.4727

17.588533

17.5802

18.138096

17.560751

17.718166

17.666025

19.199415

17.36632

1604.05325

Hans Jockers

Andreas Gerhardus and Hans Jockers

Quantum periods of Calabi-Yau fourfolds

63 pages, v2: clarifications and minor corrections, v3: minor corrections and published in Nucl.Phys.B

Nucl.Phys. B913 (2016) 425-474

10.1016/j.nuclphysb.2016.09.021

BONN-TH-2016-02

hep-th math.AG

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

In this work we study the quantum periods together with their Picard-Fuchs differential equations of Calabi-Yau fourfolds. In contrast to Calabi-Yau threefolds, we argue that the large volume points of Calabi-Yau fourfolds generically are regular singular points of the Picard-Fuchs operators of non-maximally unipotent monodromy. We demonstrate this property in explicit examples of Calabi-Yau fourfolds with a single Kahler modulus. For these examples we construct integral quantum periods and study their global properties in the quantum Kahler moduli space with the help of numerical analytic continuation techniques. Furthermore, we determine their genus zero Gromov-Witten invariants, their Klemm-Pandharipande meeting invariants, and their genus one BPS invariants. In our computations we emphasize the features attributed to the non-maximally unipotent monodromy property. For instance, it implies the existence of integral quantum periods that at large volume are purely worldsheet instanton generated. To verify our results, we also present intersection theory techniques to enumerate lines with a marked point on complete intersection Calabi-Yau fourfolds in Grassmannian varieties.

[ { "created": "Mon, 18 Apr 2016 20:00:09 GMT", "version": "v1" }, { "created": "Mon, 22 Aug 2016 13:08:52 GMT", "version": "v2" }, { "created": "Tue, 8 Nov 2016 09:53:39 GMT", "version": "v3" } ]

2016-11-09

[ [ "Gerhardus", "Andreas", "" ], [ "Jockers", "Hans", "" ] ]

In this work we study the quantum periods together with their Picard-Fuchs differential equations of Calabi-Yau fourfolds. In contrast to Calabi-Yau threefolds, we argue that the large volume points of Calabi-Yau fourfolds generically are regular singular points of the Picard-Fuchs operators of non-maximally unipotent monodromy. We demonstrate this property in explicit examples of Calabi-Yau fourfolds with a single Kahler modulus. For these examples we construct integral quantum periods and study their global properties in the quantum Kahler moduli space with the help of numerical analytic continuation techniques. Furthermore, we determine their genus zero Gromov-Witten invariants, their Klemm-Pandharipande meeting invariants, and their genus one BPS invariants. In our computations we emphasize the features attributed to the non-maximally unipotent monodromy property. For instance, it implies the existence of integral quantum periods that at large volume are purely worldsheet instanton generated. To verify our results, we also present intersection theory techniques to enumerate lines with a marked point on complete intersection Calabi-Yau fourfolds in Grassmannian varieties.

7.167923

8.502923

8.767642

7.192578

7.459116

7.845397

7.953672

7.214859

7.469516

9.920832

7.352149

7.051647

7.358584

6.94158

6.992971

7.060081

7.083179

7.200607

7.062707

7.554075

7.001344

hep-th/9305104

Gernot Muenster

G. Muenster

The role of mathematics in contemporary theoretical physics

6 pages, MS-TPI-93-02

null

hep-th

null

Talk given at the 6th Philosophy-and-Physics-Workshop ``Epistemological Aspects of the Role of Mathematics in Physical Science'', FEST, Heidelberg, Feb. 1993

[ { "created": "Fri, 21 May 1993 13:11:21 GMT", "version": "v1" } ]

2007-05-23

[ [ "Muenster", "G.", "" ] ]

Talk given at the 6th Philosophy-and-Physics-Workshop ``Epistemological Aspects of the Role of Mathematics in Physical Science'', FEST, Heidelberg, Feb. 1993

20.919851

18.391787

17.022234

14.011656

19.311771

15.801538

15.889141

19.594017

16.998102

19.986834

17.008173

17.535196

14.27667

15.049234

15.26338

16.290234

14.945815

16.3993

14.537379

16.423065

14.248219

1409.0969

Chao Wu

Jun Ouyang and Chao Wu

A classification of long-range interactions between two stacks of $p$ \& $p'$-branes

26 pages, 7 tables

null

10.1088/0253-6102/63/2/12

USTC-ICTS-14-16

hep-th

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

We generalize the computations of the long-range interactions between two parallel stacks of branes in \cite{Wu and Wang, Prof. Lu's lecture notes} to various cases when two stacks of branes are not placed parallel to each other. We classify the nature of interaction (repulsive or attractive) for each special case and this classification can be used to justify the nature of long-range interaction between two complicated brane systems such as brane bound states. We will provide explicit examples in this paper to demonstrate this.

[ { "created": "Wed, 3 Sep 2014 07:06:56 GMT", "version": "v1" } ]

2015-06-22

[ [ "Ouyang", "Jun", "" ], [ "Wu", "Chao", "" ] ]

We generalize the computations of the long-range interactions between two parallel stacks of branes in \cite{Wu and Wang, Prof. Lu's lecture notes} to various cases when two stacks of branes are not placed parallel to each other. We classify the nature of interaction (repulsive or attractive) for each special case and this classification can be used to justify the nature of long-range interaction between two complicated brane systems such as brane bound states. We will provide explicit examples in this paper to demonstrate this.

15.254467

12.809052

15.909281

13.111856

14.554033

14.187038

14.818344

13.34896

13.196589

16.033596

12.859571

13.07227

13.801843

13.017718

14.09124

13.67498

13.456834

13.246831

13.338579

14.591815

13.158838

2312.11607

Pierre Heidmann

Pierre Heidmann and Madhur Mehta

Electromagnetic Entrapment in Gravity

37 pages + Appendix, 14 figures

null

hep-th gr-qc hep-ph

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

We derive specific properties of electromagnetism when gravitational effects are not negligible and analyze their impact on new physics at the horizons of black holes. We show that a neutral configuration of charges in a region of high redshift, characterized by a large $g^{tt}$, produces a highly localized electromagnetic field that vanishes just beyond that region. This phenomenon implies the existence of extensive families of spacetime structures generated by electromagnetic degrees of freedom that are as compact as black holes. We construct neutral bound states of extremal black holes in four dimensions and in five dimensions, where one direction is compact. These geometries are indistinguishable from a neutral black hole, referred to as distorted Schwarzschild, except in an infinitesimal region near its horizon where the entrapped electromagnetic structures start to manifest. The five-dimensional solutions satisfy various criteria for describing black hole microstructure: they increase in size with the Newton constant, are as compact as the Schwarzschild black hole, and have an entropy that scales like $M^2$.

[ { "created": "Mon, 18 Dec 2023 19:00:00 GMT", "version": "v1" } ]

2023-12-20

[ [ "Heidmann", "Pierre", "" ], [ "Mehta", "Madhur", "" ] ]

We derive specific properties of electromagnetism when gravitational effects are not negligible and analyze their impact on new physics at the horizons of black holes. We show that a neutral configuration of charges in a region of high redshift, characterized by a large $g^{tt}$, produces a highly localized electromagnetic field that vanishes just beyond that region. This phenomenon implies the existence of extensive families of spacetime structures generated by electromagnetic degrees of freedom that are as compact as black holes. We construct neutral bound states of extremal black holes in four dimensions and in five dimensions, where one direction is compact. These geometries are indistinguishable from a neutral black hole, referred to as distorted Schwarzschild, except in an infinitesimal region near its horizon where the entrapped electromagnetic structures start to manifest. The five-dimensional solutions satisfy various criteria for describing black hole microstructure: they increase in size with the Newton constant, are as compact as the Schwarzschild black hole, and have an entropy that scales like $M^2$.

15.477233

16.480169

16.623724

15.335338

16.250031

16.066797

16.578527

15.94801

15.58994

16.653282

15.514848

14.867041

15.008397

14.83267

15.177119

15.338277

15.191127

14.888317

14.764131

15.029857

14.796368

hep-th/0311089

Alejandro Corichi

Alejandro Corichi and Jeronimo Cortez

Note on Self-Duality and the Kodama State

4 pages, no figures. References and discussion added. Final version to appear in PRD

Phys.Rev. D69 (2004) 047702

10.1103/PhysRevD.69.047702

ICN-UNAM-03/12

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

null

An interesting interplay between self-duality, the Kodama (Chern-Simons) state and knot invariants is shown to emerge in the quantum theory of an Abelian gauge theory. More precisely, when a self-dual representation of the CCR is chosen, the corresponding vacuum in the Schroedinger representation is precisely given by the Kodama state. Several consequences of this construction are explored.

[ { "created": "Tue, 11 Nov 2003 17:47:25 GMT", "version": "v1" }, { "created": "Fri, 14 Nov 2003 17:27:52 GMT", "version": "v2" }, { "created": "Mon, 9 Feb 2004 20:28:12 GMT", "version": "v3" } ]

2009-11-10

[ [ "Corichi", "Alejandro", "" ], [ "Cortez", "Jeronimo", "" ] ]

An interesting interplay between self-duality, the Kodama (Chern-Simons) state and knot invariants is shown to emerge in the quantum theory of an Abelian gauge theory. More precisely, when a self-dual representation of the CCR is chosen, the corresponding vacuum in the Schroedinger representation is precisely given by the Kodama state. Several consequences of this construction are explored.

12.205892

8.941001

9.317406

9.558965

9.116919

9.634343

9.400702

9.524691

9.851132

10.595275

9.338239

10.075877

10.13484

10.268153

10.883483

10.357646

10.804454

10.194984

10.010374

10.437356

10.467605

1702.01193

Lavinia Heisenberg

Jose Beltran Jimenez, Lavinia Heisenberg, Ryotaro Kase, Ryo Namba and Shinji Tsujikawa

Instabilities in Horndeski Yang-Mills inflation

8 pages, 2 figures

Phys. Rev. D 95, 063533 (2017)

10.1103/PhysRevD.95.063533

null

hep-th astro-ph.CO gr-qc

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

A non-abelian $SU(2)$ gauge field with a non-minimal Horndeski coupling to gravity gives rise to a de Sitter solution followed by a graceful exit to a radiation-dominated epoch. In this Horndeski Yang-Mills (HYM) theory we derive the second-order action for tensor perturbations on the homogeneous and isotropic quasi de Sitter background. We find that the presence of the Horndeski non-minimal coupling to the gauge field inevitably introduces ghost instabilities in the tensor sector during inflation. Moreover, we also find Laplacian instabilities for the tensor perturbations deep inside the Hubble radius during inflation. Thus, we conclude that the HYM theory does not provide a consistent inflationary framework due to the presence of ghosts and Laplacian instabilities.

[ { "created": "Fri, 3 Feb 2017 22:34:04 GMT", "version": "v1" } ]

2017-04-05

[ [ "Jimenez", "Jose Beltran", "" ], [ "Heisenberg", "Lavinia", "" ], [ "Kase", "Ryotaro", "" ], [ "Namba", "Ryo", "" ], [ "Tsujikawa", "Shinji", "" ] ]

A non-abelian $SU(2)$ gauge field with a non-minimal Horndeski coupling to gravity gives rise to a de Sitter solution followed by a graceful exit to a radiation-dominated epoch. In this Horndeski Yang-Mills (HYM) theory we derive the second-order action for tensor perturbations on the homogeneous and isotropic quasi de Sitter background. We find that the presence of the Horndeski non-minimal coupling to the gauge field inevitably introduces ghost instabilities in the tensor sector during inflation. Moreover, we also find Laplacian instabilities for the tensor perturbations deep inside the Hubble radius during inflation. Thus, we conclude that the HYM theory does not provide a consistent inflationary framework due to the presence of ghosts and Laplacian instabilities.

5.671216

5.60858

4.928071

4.942909

5.275095

5.284928

5.622984

4.934608

5.069452

4.891256

4.892553

5.416113

5.13289

4.949826

5.212801

5.23019

5.290694

5.086452

5.082249

5.168643

5.18078

1904.03957

S. Danial Forghani

S. Danial Forghani, S. Habib Mazharimousavi, and Mustafa Halilsoy

Higher Dimensional Particle Model in Third-Order Lovelock Gravity

7 pages, 1 figure (7 subfigures)

null

10.1140/epjp/s13360-020-00602-6

null

hep-th

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

By using the formalism of thin-shells, we construct a geometrical model of a particle in third-order Lovelock gravity. This particular theory which is valid at least in 7 dimensions, provides enough degrees of freedom and grounds towards such a construction. The particle consists of a flat interior and a non-black hole exterior spacetimes whose mass, charge, and radius are determined from the junction conditions, in terms of the parameters of the theory.

[ { "created": "Mon, 8 Apr 2019 11:15:29 GMT", "version": "v1" }, { "created": "Mon, 5 Aug 2019 16:59:36 GMT", "version": "v2" }, { "created": "Tue, 4 Feb 2020 09:22:54 GMT", "version": "v3" }, { "created": "Sun, 13 Sep 2020 07:01:31 GMT", "version": "v4" } ]

2020-09-15

[ [ "Forghani", "S. Danial", "" ], [ "Mazharimousavi", "S. Habib", "" ], [ "Halilsoy", "Mustafa", "" ] ]

By using the formalism of thin-shells, we construct a geometrical model of a particle in third-order Lovelock gravity. This particular theory which is valid at least in 7 dimensions, provides enough degrees of freedom and grounds towards such a construction. The particle consists of a flat interior and a non-black hole exterior spacetimes whose mass, charge, and radius are determined from the junction conditions, in terms of the parameters of the theory.

17.832081

16.187708

13.905861

13.396038

17.105474

15.890566

17.167063

14.148975

17.421837

15.224477

16.734528

15.781124

13.658066

14.425659

15.04833

14.938672

15.457548

13.875089

15.461555

14.097878

15.493844

hep-th/9909068

Jonathan R. Ellis

John Ellis (CERN), N.E. Mavromatos (Oxford) and Elizabeth Winstanley (Oxford)

Logarithmic Operators Fold D branes into AdS_3

10 pages revtex, one eps figure included

Phys.Lett.B476:165-171,2000

10.1016/S0370-2693(00)00128-3

CERN-TH/99--279, OUTP--99--42P

hep-th gr-qc

null

We use logarithmic conformal field theory techniques to describe recoil effects in the scattering of two Dirichlet branes in D dimensions. In the particular case that a D1 brane strikes a D3 brane perpendicularly, thereby folding it, we find that the recoil space-time is maximally symmetric, with AdS_3 x E_{D-3} geometry. We comment on the possible applications of this result to the study of transitions between different background metrics.

[ { "created": "Fri, 10 Sep 1999 16:11:06 GMT", "version": "v1" } ]

2009-09-11

[ [ "Ellis", "John", "", "CERN" ], [ "Mavromatos", "N. E.", "", "Oxford" ], [ "Winstanley", "Elizabeth", "", "Oxford" ] ]

We use logarithmic conformal field theory techniques to describe recoil effects in the scattering of two Dirichlet branes in D dimensions. In the particular case that a D1 brane strikes a D3 brane perpendicularly, thereby folding it, we find that the recoil space-time is maximally symmetric, with AdS_3 x E_{D-3} geometry. We comment on the possible applications of this result to the study of transitions between different background metrics.

11.107306

9.425537

10.843253

9.761529

9.509732

9.580505

9.642863

9.171584

8.624048

10.94741

9.210758

9.410627

10.342766

9.094959

9.351552

9.174158

9.728683

9.713041

9.028852

10.170677

9.127337

1101.2891

Francisco A. Brito

M. A. Anacleto, F. A. Brito, E. Passos

Superresonance effect from a rotating acoustic black hole and Lorentz symmetry breaking

9 pages, version to appear in PLB

Phys.Lett.B703:609-613,2011

10.1016/j.physletb.2011.08.040

null

hep-th gr-qc

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

We investigate the possibility of the acoustic superresonance phenomenon (analog to the superradiance in black hole physics), i.e., the amplification of a sound wave by reflection from the ergoregion of a rotating acoustic black hole with Lorentz symmetry breaking. For rotating black holes the effect of superradiance corresponds to the situation where the incident waves has reflection coefficient greater than one, and energy is extracted from them. For an acoustic Kerr-like black hole its rate of loss of mass is affected by the Lorentz symmetry breaking. We also have shown that for suitable values of the Lorentz violating parameter a wider spectrum of particle wave function can be scattered with increased amplitude by the acoustic black hole.

[ { "created": "Fri, 14 Jan 2011 20:58:33 GMT", "version": "v1" }, { "created": "Fri, 12 Aug 2011 20:53:54 GMT", "version": "v2" } ]

2011-09-13

[ [ "Anacleto", "M. A.", "" ], [ "Brito", "F. A.", "" ], [ "Passos", "E.", "" ] ]

We investigate the possibility of the acoustic superresonance phenomenon (analog to the superradiance in black hole physics), i.e., the amplification of a sound wave by reflection from the ergoregion of a rotating acoustic black hole with Lorentz symmetry breaking. For rotating black holes the effect of superradiance corresponds to the situation where the incident waves has reflection coefficient greater than one, and energy is extracted from them. For an acoustic Kerr-like black hole its rate of loss of mass is affected by the Lorentz symmetry breaking. We also have shown that for suitable values of the Lorentz violating parameter a wider spectrum of particle wave function can be scattered with increased amplitude by the acoustic black hole.

11.196591

10.421436

9.136121

8.937552

9.50801

10.604236

10.484309

9.051903

9.261209

10.482749

10.102228

9.989191

9.897039

9.692323

9.984488

10.359041

10.395978

9.741138

10.37851

9.941898

10.137378

hep-th/0702035

David Skinner

Rutger Boels, Lionel Mason & David Skinner

From Twistor Actions to MHV Diagrams

12 pages, RevTeX

Phys.Lett.B648:90-96,2007

10.1016/j.physletb.2007.02.058

null

hep-th hep-ph

null

We show that MHV diagrams are the Feynman diagrams of certain twistor actions for gauge theories in an axial gauge. The gauge symmetry of the twistor action is larger than that on space-time and this allows us to fix a gauge that makes the MHV formalism manifest but which is inaccessible from space-time. The framework is extended to describe matter fields: as an illustration we explicitly construct twistor actions for an adjoint scalar with arbitrary polynomial potential and a fermion in the fundamental representation and show how this leads to additional towers of MHV vertices in the MHV diagram formalism.

[ { "created": "Mon, 5 Feb 2007 18:20:55 GMT", "version": "v1" } ]

2008-11-26

[ [ "Boels", "Rutger", "" ], [ "Mason", "Lionel", "" ], [ "Skinner", "David", "" ] ]

We show that MHV diagrams are the Feynman diagrams of certain twistor actions for gauge theories in an axial gauge. The gauge symmetry of the twistor action is larger than that on space-time and this allows us to fix a gauge that makes the MHV formalism manifest but which is inaccessible from space-time. The framework is extended to describe matter fields: as an illustration we explicitly construct twistor actions for an adjoint scalar with arbitrary polynomial potential and a fermion in the fundamental representation and show how this leads to additional towers of MHV vertices in the MHV diagram formalism.

10.509135

9.643614

12.105091

10.194685

10.510921

11.550996

9.963719

9.414221

10.617616

13.286011

10.378746

10.297659

10.760628

10.275689

10.823385

10.770972

10.510548

10.545969

10.090381

10.651703

10.384624

1012.2387

Dylan Albrecht

Dylan Albrecht (College of William and Mary)

Weighted Power Counting and Perturbative Unitarity

12 pages, version published in Phys. Rev. D

Phys.Rev.D83:045029,2011

10.1103/PhysRevD.83.045029

null

hep-th hep-ph

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

We consider the relationship between renormalizability and unitarity at a Lifshitz point in d dimensions. We test tree unitarity for theories containing only scalars and fermions, and for pure gauge theory. In both cases, we find the requirement of weighted power-counting renormalizability is equivalent to that of tree unitarity.

[ { "created": "Fri, 10 Dec 2010 21:03:30 GMT", "version": "v1" }, { "created": "Mon, 28 Feb 2011 19:41:50 GMT", "version": "v2" } ]

2011-03-23

[ [ "Albrecht", "Dylan", "", "College of William and Mary" ] ]

We consider the relationship between renormalizability and unitarity at a Lifshitz point in d dimensions. We test tree unitarity for theories containing only scalars and fermions, and for pure gauge theory. In both cases, we find the requirement of weighted power-counting renormalizability is equivalent to that of tree unitarity.

10.260528

9.226286

9.29253

8.407521

8.520095

9.03638

8.325327

8.724959

9.246145

9.617732

9.082438

9.203682

9.326838

8.766744

9.019108

8.929178

9.143253

9.309325

8.937778

9.130937

8.744335

1107.0543

Bin Chen

Bin Chen and Jia-ju Zhang

General Hidden Conformal Symmetry of 4D Kerr-Newman and 5D Kerr Black Holes

25 pages; Typos corrected; Revision in accordance to the changes in 1106.4148

null

10.1007/JHEP08(2011)114

null

hep-th

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

There are two known CFT duals, namely the J-picture and the Q-picture, for a four-dimensional Kerr-Newman black hole, corresponding to the angular momentum $J$ and the electric charge $Q$ respectively. In our recent study we found a one-parameter class of CFT duals for extremal Kerr-Newman black hole, connecting these two pictures. In this paper we study these novel CFT duals for the generic non-extremal Kerr-Newman black hole. We investigate the hidden conformal symmetry in the low frequency scattering off Kerr-Newman black hole, from which the dual temperatures could be read. We find that there still exists a hidden conformal symmetry for a general CFT dual. We reproduce the correct Bekenstein-Hawking entropy from the Cardy formula, assuming the form of the central charge being invariant. Moreover we compute the retarded Green's function in the general CFT dual picture and find it is in good match with the CFT prediction. Furthermore we discuss the hidden conformal symmetries of the five dimensional Kerr black hole and obtain the similar evidence to support the general dual CFT pictures.

[ { "created": "Mon, 4 Jul 2011 06:56:58 GMT", "version": "v1" }, { "created": "Tue, 30 Aug 2011 02:05:01 GMT", "version": "v2" }, { "created": "Fri, 2 Dec 2011 03:14:19 GMT", "version": "v3" } ]

2015-05-28

[ [ "Chen", "Bin", "" ], [ "Zhang", "Jia-ju", "" ] ]

There are two known CFT duals, namely the J-picture and the Q-picture, for a four-dimensional Kerr-Newman black hole, corresponding to the angular momentum $J$ and the electric charge $Q$ respectively. In our recent study we found a one-parameter class of CFT duals for extremal Kerr-Newman black hole, connecting these two pictures. In this paper we study these novel CFT duals for the generic non-extremal Kerr-Newman black hole. We investigate the hidden conformal symmetry in the low frequency scattering off Kerr-Newman black hole, from which the dual temperatures could be read. We find that there still exists a hidden conformal symmetry for a general CFT dual. We reproduce the correct Bekenstein-Hawking entropy from the Cardy formula, assuming the form of the central charge being invariant. Moreover we compute the retarded Green's function in the general CFT dual picture and find it is in good match with the CFT prediction. Furthermore we discuss the hidden conformal symmetries of the five dimensional Kerr black hole and obtain the similar evidence to support the general dual CFT pictures.

7.87366

6.830688

8.352702

6.967238

7.203887

7.236354

6.956335

6.805746

7.189162

8.10377

6.677602

7.153677

7.509851

7.156431

7.333963

7.393421

7.32035

7.199974

7.197429

7.662309

7.41793

hep-th/9411213

Spenta Wadia

Spenta R. Wadia

$W_\infty$ Algebra and Geometric Formulation of QCD$_2$

3 pages, latex, conference talk

null

hep-th

null

We review the gauge invariant formulation of 2-dim. QCD. We show that the non-linear gauge invariant phase space is the coset $W_\infty/W_{+\infty}\times W_{-\infty}$ ,which is specified by the $N=\infty$ master-field of this model. The meson fields correspond to the local coordinates of the coset. We comment on the stringy collective coordinates of the solitons (baryons) in this model.

[ { "created": "Tue, 29 Nov 1994 13:37:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Wadia", "Spenta R.", "" ] ]

We review the gauge invariant formulation of 2-dim. QCD. We show that the non-linear gauge invariant phase space is the coset $W_\infty/W_{+\infty}\times W_{-\infty}$ ,which is specified by the $N=\infty$ master-field of this model. The meson fields correspond to the local coordinates of the coset. We comment on the stringy collective coordinates of the solitons (baryons) in this model.

12.351085

9.979197

12.697271

10.167145

10.234759

9.817814

9.412813

9.676373

9.518538

12.78394

10.166914

9.928808

11.621941

10.088268

10.499866

10.224367

9.992202

9.965665

10.425794

12.000484

10.546042

1609.06723

Solomon Endlich

Solomon Endlich and Riccardo Penco

A Modern Approach to Superradiance

39 pages (v2 contains many added details and corrects an error in v1. In particular, the instability rates for leading vector bound states are computed exactly in the large Compton wavelength limit.)

null

10.1007/JHEP05(2017)052

null

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

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

In this paper, we provide a simple and modern discussion of rotational superradiance based on quantum field theory. We work with an effective theory valid at scales much larger than the size of the spinning object responsible for superradiance. Within this framework, the probability of absorption by an object at rest completely determines the superradiant amplification rate when that same object is spinning. We first discuss in detail superradiant scattering of spin 0 particles with orbital angular momentum $\ell=1$, and then extend our analysis to higher values of orbital angular momentum and spin. Along the way, we provide a simple derivation of vacuum friction---a "quantum torque" acting on spinning objects in empty space. Our results apply not only to black holes but to arbitrary spinning objects. We also discuss superradiant instability due to formation of bound states and, as an illustration, we calculate the instability rate $\Gamma$ for bound states with massive spin 1 particles. For a black hole with mass $M$ and angular velocity $\Omega$, we find $\Gamma \sim (G M \mu)^7 \Omega$ when the particle's Compton wavelength $1/\mu$ is much greater than the size $GM$ of the spinning object. This rate is parametrically much larger than the instability rate for spin 0 particles, which scales like $(GM \mu)^9 \Omega$. This enhanced instability rate can be used to constrain the existence of ultralight particles beyond the Standard Model.

[ { "created": "Wed, 21 Sep 2016 20:00:02 GMT", "version": "v1" }, { "created": "Sat, 10 Dec 2016 02:22:19 GMT", "version": "v2" } ]

2017-06-07

[ [ "Endlich", "Solomon", "" ], [ "Penco", "Riccardo", "" ] ]

In this paper, we provide a simple and modern discussion of rotational superradiance based on quantum field theory. We work with an effective theory valid at scales much larger than the size of the spinning object responsible for superradiance. Within this framework, the probability of absorption by an object at rest completely determines the superradiant amplification rate when that same object is spinning. We first discuss in detail superradiant scattering of spin 0 particles with orbital angular momentum $\ell=1$, and then extend our analysis to higher values of orbital angular momentum and spin. Along the way, we provide a simple derivation of vacuum friction---a "quantum torque" acting on spinning objects in empty space. Our results apply not only to black holes but to arbitrary spinning objects. We also discuss superradiant instability due to formation of bound states and, as an illustration, we calculate the instability rate $\Gamma$ for bound states with massive spin 1 particles. For a black hole with mass $M$ and angular velocity $\Omega$, we find $\Gamma \sim (G M \mu)^7 \Omega$ when the particle's Compton wavelength $1/\mu$ is much greater than the size $GM$ of the spinning object. This rate is parametrically much larger than the instability rate for spin 0 particles, which scales like $(GM \mu)^9 \Omega$. This enhanced instability rate can be used to constrain the existence of ultralight particles beyond the Standard Model.

6.03673

6.85323

6.224488

5.965763

6.756466

6.634233

6.998425

6.382545

6.334852

6.425797

6.273592

6.012309

5.761122

5.939337

5.907654

5.960557

5.99977

5.924916

5.859284

5.738514

6.007875

1610.05584

Junya Yagi

Branes and integrable lattice models

16 pages. Invited review article for Modern Physics Letters A. v2: published version

Mod. Phys. Lett. A 32 (2017) 1730003

10.1142/S0217732317300038

null

hep-th math-ph math.MP

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

This is a brief review of my work on the correspondence between four-dimensional $\mathcal{N} = 1$ supersymmetric field theories realized by brane tilings and two-dimensional integrable lattice models. I explain how to construct integrable lattice models from extended operators in partially topological quantum field theories, and elucidate the correspondence as an application of this construction.

[ { "created": "Tue, 18 Oct 2016 12:52:32 GMT", "version": "v1" }, { "created": "Fri, 6 Jan 2017 09:20:09 GMT", "version": "v2" } ]

2017-01-09

[ [ "Yagi", "Junya", "" ] ]

This is a brief review of my work on the correspondence between four-dimensional $\mathcal{N} = 1$ supersymmetric field theories realized by brane tilings and two-dimensional integrable lattice models. I explain how to construct integrable lattice models from extended operators in partially topological quantum field theories, and elucidate the correspondence as an application of this construction.

8.63096

6.30738

8.812759

6.833269

6.088814

6.344518

7.187669

6.277548

6.36026

9.133732

6.764323

6.890298

8.310443

6.965682

7.141681

7.012251

6.937092

7.027007

6.918279

7.955735

6.996255

0809.3464

Peter Freund

Peter G.O. Freund

Dynamical Spin II

Contribution to "Fundamental Interactions - A Memorial Volume for Wolfgang Kummer", World Scientific, to be published

null

hep-th

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

The possibility of building all particles from spinless constituents is explored. Composite fermions are formed from bosonic carriers of electric and magnetic charge of a composite abelian gauge field. Internal attributes are accounted for by dimensional reduction from a higher-dimensional space-time in which the abelian gauge field is replaced by a composite higher-rank antisymmetric tensor field. The problem of building magnetically neutral fermions is considered.

[ { "created": "Fri, 19 Sep 2008 21:25:34 GMT", "version": "v1" } ]

2008-09-23

[ [ "Freund", "Peter G. O.", "" ] ]

The possibility of building all particles from spinless constituents is explored. Composite fermions are formed from bosonic carriers of electric and magnetic charge of a composite abelian gauge field. Internal attributes are accounted for by dimensional reduction from a higher-dimensional space-time in which the abelian gauge field is replaced by a composite higher-rank antisymmetric tensor field. The problem of building magnetically neutral fermions is considered.

14.21991

13.904237

14.11149

13.018064

13.037137

13.736596

13.638499

12.507648

13.14784

12.843486

12.651787

12.447086

13.670785

12.319934

12.445089

12.989033

12.104238

12.850389

12.775874

13.634893

12.66785

2111.14747

Laurent Freidel

A canonical bracket for open gravitational system

13 pages

null

hep-th

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

This paper shows that the generalization of the Barnich-Troessaert bracket recently proposed to represent the extended corner algebra can be obtained as the canonical bracket for an extended gravitational Lagrangian. This extension effectively allows one to reabsorb the symplectic flux into the dressing of the Lagrangian by an embedding field. It also implies that the canonical Poisson bracket of charges forms a representation of the extended corner symmetry algebra.

[ { "created": "Mon, 29 Nov 2021 17:50:50 GMT", "version": "v1" } ]

2021-11-30

[ [ "Freidel", "Laurent", "" ] ]

This paper shows that the generalization of the Barnich-Troessaert bracket recently proposed to represent the extended corner algebra can be obtained as the canonical bracket for an extended gravitational Lagrangian. This extension effectively allows one to reabsorb the symplectic flux into the dressing of the Lagrangian by an embedding field. It also implies that the canonical Poisson bracket of charges forms a representation of the extended corner symmetry algebra.

16.179489

12.587117

14.014359

12.314856

11.763109

12.462715

12.546552

12.105068

12.037814

16.611691

13.535933

13.280544

13.755674

12.682261

12.574906

12.749064

12.846395

12.836199

13.385203

13.851951

14.997622

1201.6434

Jiro Soda

Statistical Anisotropy from Anisotropic Inflation

32 pages, 5 figures, invited review for CQG, published version

null

10.1088/0264-9381/29/8/083001

KUNS-2383

hep-th astro-ph.CO gr-qc

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

We review an inflationary scenario with the anisotropic expansion rate. An anisotropic inflationary universe can be realized by a vector field coupled with an inflaton, which can be regarded as a counter example to the cosmic no-hair conjecture. We show generality of anisotropic inflation and derive a universal property. We formulate cosmological perturbation theory in anisotropic inflation. Using the formalism, we show anisotropic inflation gives rise to the statistical anisotropy in primordial fluctuations. We also explain a method to test anisotropic inflation using the cosmic microwave background radiation (CMB).

[ { "created": "Tue, 31 Jan 2012 04:18:31 GMT", "version": "v1" }, { "created": "Wed, 7 Mar 2012 07:44:16 GMT", "version": "v2" } ]

2015-06-04

[ [ "Soda", "Jiro", "" ] ]

We review an inflationary scenario with the anisotropic expansion rate. An anisotropic inflationary universe can be realized by a vector field coupled with an inflaton, which can be regarded as a counter example to the cosmic no-hair conjecture. We show generality of anisotropic inflation and derive a universal property. We formulate cosmological perturbation theory in anisotropic inflation. Using the formalism, we show anisotropic inflation gives rise to the statistical anisotropy in primordial fluctuations. We also explain a method to test anisotropic inflation using the cosmic microwave background radiation (CMB).

6.695007

6.452936

6.697607

6.061681

6.541072

6.511397

6.206088

5.826767

5.993671

6.511827

6.291587

6.176154

6.345628

6.109869

6.116927

6.370868

6.206416

6.313097

6.284048

6.138496

6.140178

2009.07136

Max Hubner

Local $G_2$-Manifolds, Higgs Bundles and a Colored Quantum Mechanics

70 pages, 16 figures, JHEP version

null

10.1007/JHEP05(2021)002

null

hep-th

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

M-theory on local $G_2$-manifolds engineers 4d minimally supersymmetric gauge theories. We consider ALE-fibered $G_2$-manifolds and study the 4d physics from the view point of a partially twisted 7d supersymmetric Yang-Mills theory and its Higgs bundle. Euclidean M2-brane instantons descend to non-perturbative effects of the 7d supersymmetric Yang-Mills theory, which are found to be in one to one correspondence with the instantons of a colored supersymmetric quantum mechanics. We compute the contributions of M2-brane instantons to the 4d superpotential in the effective 7d description via localization in the colored quantum mechanics. Further we consider non-split Higgs bundles and analyze their 4d spectrum.

[ { "created": "Tue, 15 Sep 2020 14:37:15 GMT", "version": "v1" }, { "created": "Sat, 8 May 2021 16:38:38 GMT", "version": "v2" } ]

2021-05-19

[ [ "Hubner", "Max", "" ] ]

M-theory on local $G_2$-manifolds engineers 4d minimally supersymmetric gauge theories. We consider ALE-fibered $G_2$-manifolds and study the 4d physics from the view point of a partially twisted 7d supersymmetric Yang-Mills theory and its Higgs bundle. Euclidean M2-brane instantons descend to non-perturbative effects of the 7d supersymmetric Yang-Mills theory, which are found to be in one to one correspondence with the instantons of a colored supersymmetric quantum mechanics. We compute the contributions of M2-brane instantons to the 4d superpotential in the effective 7d description via localization in the colored quantum mechanics. Further we consider non-split Higgs bundles and analyze their 4d spectrum.

8.364237

7.222237

7.900869

7.507242

8.076047

7.930665

7.059501

7.172837

7.543794

8.99585

7.428919

7.467792

7.888815

7.043575

7.027609

7.138996

7.215565

7.24611

7.028547

7.782165

7.234971

1906.06131

Olaf Kr\"uger PhD

Olaf Kr\"uger

Log-Expansions from Combinatorial Dyson-Schwinger Equations

26 pages

null

10.1007/s11005-020-01288-8

UWThPh 2019-18

hep-th math-ph math.MP

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

We give a precise connection between combinatorial Dyson-Schwinger equations and log-expansions for Green's functions in quantum field theory. The latter are triangular power series in the coupling constant $\alpha$ and a logarithmic energy scale $L$ --- a reordering of terms as $G(\alpha,L) = 1 \pm \sum_{j \geq 0} \alpha^j H_j(\alpha L)$ is the corresponding log-expansion. In a first part of this paper, we derive the leading-log order $H_0$ and the next-to$^{(j)}$-leading log orders $H_j$ from the Callan-Symanzik equation. In particular, $H_j$ only depends on the $(j+1)$-loop $\beta$-function and anomalous dimensions. For the photon propagator Green's function in quantum electrodynamics (and in a toy model, where all Feynman graphs with vertex sub-divergences are neglected), our formulas reproduce the known expressions for the next-to-next-to-leading log approximation in the literature. In a second part of this work, we review the connection between the Callan-Symanzik equation and Dyson-Schwinger equations, i.e. fixed-point relations for the Green's functions. Combining the arguments, our work provides a derivation of the log-expansions for Green's functions from the corresponding Dyson-Schwinger equations.

[ { "created": "Fri, 14 Jun 2019 11:23:13 GMT", "version": "v1" } ]

2020-08-26

[ [ "Krüger", "Olaf", "" ] ]

We give a precise connection between combinatorial Dyson-Schwinger equations and log-expansions for Green's functions in quantum field theory. The latter are triangular power series in the coupling constant $\alpha$ and a logarithmic energy scale $L$ --- a reordering of terms as $G(\alpha,L) = 1 \pm \sum_{j \geq 0} \alpha^j H_j(\alpha L)$ is the corresponding log-expansion. In a first part of this paper, we derive the leading-log order $H_0$ and the next-to$^{(j)}$-leading log orders $H_j$ from the Callan-Symanzik equation. In particular, $H_j$ only depends on the $(j+1)$-loop $\beta$-function and anomalous dimensions. For the photon propagator Green's function in quantum electrodynamics (and in a toy model, where all Feynman graphs with vertex sub-divergences are neglected), our formulas reproduce the known expressions for the next-to-next-to-leading log approximation in the literature. In a second part of this work, we review the connection between the Callan-Symanzik equation and Dyson-Schwinger equations, i.e. fixed-point relations for the Green's functions. Combining the arguments, our work provides a derivation of the log-expansions for Green's functions from the corresponding Dyson-Schwinger equations.

6.820403

7.05226

7.3022

6.715593

7.203083

6.65329

7.234984

7.053849

6.654709

7.046544

6.745924

6.805506

6.581597

6.610451

6.736326

6.838651

6.81085

6.7648

6.600772

6.87708

6.536232

1912.04804

Joseph Tooby-Smith

B. C. Allanach, Ben Gripaios and Joseph Tooby-Smith

Geometric General Solution to the $U(1)$ Anomaly Equations

11 pages. v3: Much expanded explanatory exposition

null

10.1007/JHEP05(2020)065

null

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

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

Costa et al. [Phys. Rev. Lett. 123, 151601 (2019)] recently gave a general solution to the anomaly equations for $n$ charges in a $U(1)$ gauge theory. `Primitive' solutions of chiral fermion charges were parameterised and it was shown how operations performed upon them (concatenation with other primitive solutions and with vector-like solutions) yield the general solution. We show that the ingenious methods used there have a simple geometric interpretation, corresponding to elementary constructions in number theory. Viewing them in this context allows the fully general solution to be written down directly, without the need for further operations. Our geometric method also allows us to show that the only operation Costa et al. require is permutation. It also gives a variety of other, qualitatively similar, parameterisations of the general solution, as well as a qualitatively different (and arguably simpler) form of the general solution for $n$ even.

[ { "created": "Tue, 10 Dec 2019 16:37:19 GMT", "version": "v1" }, { "created": "Mon, 10 Feb 2020 15:18:49 GMT", "version": "v2" }, { "created": "Mon, 6 Apr 2020 12:50:26 GMT", "version": "v3" } ]

2020-06-24

[ [ "Allanach", "B. C.", "" ], [ "Gripaios", "Ben", "" ], [ "Tooby-Smith", "Joseph", "" ] ]

Costa et al. [Phys. Rev. Lett. 123, 151601 (2019)] recently gave a general solution to the anomaly equations for $n$ charges in a $U(1)$ gauge theory. `Primitive' solutions of chiral fermion charges were parameterised and it was shown how operations performed upon them (concatenation with other primitive solutions and with vector-like solutions) yield the general solution. We show that the ingenious methods used there have a simple geometric interpretation, corresponding to elementary constructions in number theory. Viewing them in this context allows the fully general solution to be written down directly, without the need for further operations. Our geometric method also allows us to show that the only operation Costa et al. require is permutation. It also gives a variety of other, qualitatively similar, parameterisations of the general solution, as well as a qualitatively different (and arguably simpler) form of the general solution for $n$ even.

12.769415

13.811248

12.458478

11.741043

13.82638

14.348413

13.407871

13.514092

11.914061

12.956454

12.325565

11.279931

11.207792

11.395127

11.677467

11.526542

11.774742

11.662883

11.193962

11.234664

11.933984

1110.6767

Larisa Jonke

Marija Dimitrijevic and Larisa Jonke

Gauge theory on kappa-Minkowski revisited: the twist approach

Based on talks given at QTS7 (Prague), BW2011 (Donji Milanovac), Corfu2011, BlagojevicFest (Divcibare)

null

10.1088/1742-6596/343/1/012049

null

hep-th

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

Kappa-Minkowski space-time is an example of noncommutative space-time with potentially interesting phenomenology. However, the construction of field theories on this space is plagued with ambiguities. We propose to resolve certain ambiguities by clarifying the geometrical picture of gauge transformations on the kappa-Minkowski space-time in the twist approach. We construct the action for the noncommutative U(1) gauge fields in a geometric way, as an integral of a maximal form. The effective action with the first order corrections in the deformation parameter is obtained using the Seiberg-Witten map to relate noncommutative and commutative degrees of freedom.

[ { "created": "Mon, 31 Oct 2011 12:21:22 GMT", "version": "v1" } ]

2015-06-03

[ [ "Dimitrijevic", "Marija", "" ], [ "Jonke", "Larisa", "" ] ]

Kappa-Minkowski space-time is an example of noncommutative space-time with potentially interesting phenomenology. However, the construction of field theories on this space is plagued with ambiguities. We propose to resolve certain ambiguities by clarifying the geometrical picture of gauge transformations on the kappa-Minkowski space-time in the twist approach. We construct the action for the noncommutative U(1) gauge fields in a geometric way, as an integral of a maximal form. The effective action with the first order corrections in the deformation parameter is obtained using the Seiberg-Witten map to relate noncommutative and commutative degrees of freedom.

7.292132

5.803674

7.416693

5.802083

6.593197

5.848444

5.888021

5.8121

5.80591

7.735703

6.076994

6.519441

6.597844

6.404433

6.589953

6.100072

6.414163

6.497203

6.443735

6.752177

6.404678

hep-th/0103237

Andrea Cappelli

Andrea Cappelli, Riccardo Guida, Nicodemo Magnoli

Exact Consequences of the Trace Anomaly in Four Dimensions

39 pages, 3 tables; published version, some misprints corrected; Mathematica routines can be found at: http://arturo.fi.infn.it/cappelli/papers/ttt/

Nucl.Phys. B618 (2001) 371-406

10.1016/S0550-3213(01)00489-8

SphT T-01/027, DFF 371/01/2001, Ge-TH-03/2001

hep-th

null

The general form of the stress-tensor three-point function in four dimensions is obtained by solving the Ward identities for the diffeomorphism and Weyl symmetries. Several properties of this correlator are discussed, such as the renormalization and scheme independence and the analogies with the anomalous chiral triangle. At the critical point, the coefficients a and c of the four-dimensional trace anomaly are related to two finite, scheme-independent amplitudes of the three-point function. Off-criticality, the imaginary parts of these amplitudes satisfy sum rules which express the total renormalization-group flow of a and c between pairs of critical points. Although these sum rules are similar to that satisfied by the two-dimensional central charge, the monotonicity of the flow, i.e. the four-dimensional analogue of the c-theorem, remains to be proven.

[ { "created": "Wed, 28 Mar 2001 15:02:59 GMT", "version": "v1" }, { "created": "Tue, 11 Dec 2001 15:30:02 GMT", "version": "v2" } ]

2009-11-07

[ [ "Cappelli", "Andrea", "" ], [ "Guida", "Riccardo", "" ], [ "Magnoli", "Nicodemo", "" ] ]

The general form of the stress-tensor three-point function in four dimensions is obtained by solving the Ward identities for the diffeomorphism and Weyl symmetries. Several properties of this correlator are discussed, such as the renormalization and scheme independence and the analogies with the anomalous chiral triangle. At the critical point, the coefficients a and c of the four-dimensional trace anomaly are related to two finite, scheme-independent amplitudes of the three-point function. Off-criticality, the imaginary parts of these amplitudes satisfy sum rules which express the total renormalization-group flow of a and c between pairs of critical points. Although these sum rules are similar to that satisfied by the two-dimensional central charge, the monotonicity of the flow, i.e. the four-dimensional analogue of the c-theorem, remains to be proven.

8.067964

7.722466

8.32393

7.33466

7.705854

7.949743

7.502409

7.246829

7.012744

8.670295

6.915159

7.561637

7.634183

7.29664

7.450332

7.41468

7.401285

7.809839

7.48561

7.563783

7.568387

1707.06245

Phillip Szepietowski

Alejandra Castro, Cynthia Keeler, and Phillip Szepietowski

Tweaking one-loop determinants in AdS$_3$

36+18 pages

null

10.1007/JHEP10(2017)070

null

hep-th

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

We revisit the subject of one-loop determinants in AdS$_3$ gravity via the quasinormal mode method. Our goal is to evaluate a one-loop determinant with chiral boundary conditions for the metric field; chirality is achieved by imposing Dirichlet boundary conditions on certain components while others satisfy Neumann. Along the way, we give a generalization of the quasinormal mode method for stationary (non-static) thermal backgrounds, and propose a treatment for Neumann boundary conditions in this framework. We evaluate the graviton one-loop determinant on the Euclidean BTZ background with parity-violating boundary conditions (CSS), and find excellent agreement with the dual warped CFT. We also discuss a more general falloff in AdS$_3$ that is related to two dimensional quantum gravity in lightcone gauge. The behavior of the ghost fields under both sets of boundary conditions is novel and we discuss potential interpretations.

[ { "created": "Wed, 19 Jul 2017 18:00:26 GMT", "version": "v1" } ]

2017-11-22

[ [ "Castro", "Alejandra", "" ], [ "Keeler", "Cynthia", "" ], [ "Szepietowski", "Phillip", "" ] ]

We revisit the subject of one-loop determinants in AdS$_3$ gravity via the quasinormal mode method. Our goal is to evaluate a one-loop determinant with chiral boundary conditions for the metric field; chirality is achieved by imposing Dirichlet boundary conditions on certain components while others satisfy Neumann. Along the way, we give a generalization of the quasinormal mode method for stationary (non-static) thermal backgrounds, and propose a treatment for Neumann boundary conditions in this framework. We evaluate the graviton one-loop determinant on the Euclidean BTZ background with parity-violating boundary conditions (CSS), and find excellent agreement with the dual warped CFT. We also discuss a more general falloff in AdS$_3$ that is related to two dimensional quantum gravity in lightcone gauge. The behavior of the ghost fields under both sets of boundary conditions is novel and we discuss potential interpretations.

12.521754

12.21917

14.119196

12.110108

13.632216

13.185969

12.557775

11.968205

12.076458

15.058735

12.086223

11.813645

12.230403

12.077434

12.180261

11.704742

11.816591

11.969592

12.064434

13.041048

11.922643

0907.3093

Taekyung Kim Mr.

Sung-Soo Kim (ULB), Taekyung Kim, Yoonbai Kim (Sungkyunkwan U.)

Surplus Solid Angle as an Imprint of Horava-Lifshitz Gravity

23 pages, 1 figure; minor changes, published version

null

10.1103/PhysRevD.80.124002

null

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

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

We consider the electrostatic field of a point charge coupled to Horava-Lifshitz gravity and find an exact solution describing the space with a surplus (or deficit) solid angle. Although, theoretically in general relativity, a surplus angle is hardly to be obtained in the presence of ordinary matter with positive energy distribution, it seems natural in Horava-Lifshitz gravity. We present the sudden disappearance and reappearance of a star image as an astrophysical effect of a surplus angle. We also consider matter configurations of all possible power law behaviors coupled to Horava-Lifshitz gravity and obtain a series of exact solutions.

[ { "created": "Fri, 17 Jul 2009 17:44:37 GMT", "version": "v1" }, { "created": "Tue, 8 Dec 2009 05:44:14 GMT", "version": "v2" } ]

2013-05-29

[ [ "Kim", "Sung-Soo", "", "ULB" ], [ "Kim", "Taekyung", "", "Sungkyunkwan U." ], [ "Kim", "Yoonbai", "", "Sungkyunkwan U." ] ]

We consider the electrostatic field of a point charge coupled to Horava-Lifshitz gravity and find an exact solution describing the space with a surplus (or deficit) solid angle. Although, theoretically in general relativity, a surplus angle is hardly to be obtained in the presence of ordinary matter with positive energy distribution, it seems natural in Horava-Lifshitz gravity. We present the sudden disappearance and reappearance of a star image as an astrophysical effect of a surplus angle. We also consider matter configurations of all possible power law behaviors coupled to Horava-Lifshitz gravity and obtain a series of exact solutions.

13.01693

11.389882

12.660048

11.547754

12.451683

12.318498

12.189455

11.90682

11.313431

12.223677

12.344381

12.462711

11.779915

11.800812

11.737329

11.806242

12.191726

11.554249

11.896877

11.775003

12.08131

1302.6063

Kenichi Konishi

Confinement via strongly-coupled non-Abelian monopoles

Latex 17 pages. arXiv admin note: text overlap with arXiv:1301.0420

null

10.1142/9789814566254_0041

IFUP-TH/2013-06

hep-th hep-lat hep-ph

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

New types of confinement phase emerge as singular SCFT's appearing as infrared-fixed-points of N=2 supersymmetric QCD (SQCD) are perturbed by an N=1 adjoint mass term. Based on a recent remarkable work on infrared-fixed-point SCFT of highest criticalities by Gaiotto, Seiberg and Tachikawa, we discuss physics of certain confining systems in SU(N), USp(2N) or SO(N) gauge theories. These show features different from a straightforward dual superconductivity picture of confinement a' la 't Hooft and Mandelstam, which might suggest a new venue in exploring the quark confinement mechanism in the real-world QCD.

[ { "created": "Mon, 25 Feb 2013 11:49:05 GMT", "version": "v1" }, { "created": "Wed, 6 Mar 2013 11:11:25 GMT", "version": "v2" }, { "created": "Tue, 19 Mar 2013 17:04:41 GMT", "version": "v3" } ]

2017-08-23

[ [ "Konishi", "Kenichi", "" ] ]

New types of confinement phase emerge as singular SCFT's appearing as infrared-fixed-points of N=2 supersymmetric QCD (SQCD) are perturbed by an N=1 adjoint mass term. Based on a recent remarkable work on infrared-fixed-point SCFT of highest criticalities by Gaiotto, Seiberg and Tachikawa, we discuss physics of certain confining systems in SU(N), USp(2N) or SO(N) gauge theories. These show features different from a straightforward dual superconductivity picture of confinement a' la 't Hooft and Mandelstam, which might suggest a new venue in exploring the quark confinement mechanism in the real-world QCD.

15.874413

13.145865

16.967133

13.08591

13.233421

13.189648

12.215706

13.449645

12.191478

16.201614

13.603243

12.957703

14.296028

13.190812

12.746663

12.67585

12.736073

13.063771

13.075699

13.881599

12.75664

hep-th/0303126

Jesper Jacobsen

Vladimir S Dotsenko, Jesper Lykke Jacobsen, Raoul Santachiara

Parafermionic theory with the symmetry Z_N, for N odd

34 pages, 1 figure. v2: note added in proof

Nucl.Phys. B664 (2003) 477-511

10.1016/S0550-3213(03)00391-2

null

hep-th cond-mat

null

We construct a parafermionic conformal theory with the symmetry Z_N, for N odd, based on the second solution of Fateev-Zamolodchikov for the corresponding parafermionic chiral algebra. Primary operators are classified according to their transformation properties under the dihedral group D_N, as singlet, doublet 1,2,...,(N-1)/2, and disorder operators. In an assumed Coulomb gas scenario, the corresponding vertex operators are accommodated by the weight lattice of the Lie algebra B_(N-1)/2. The unitary theories are representations of the coset SO_n(N) x SO_2(N) / SO_{n+2}(N), with n=1,2,... . Physically, they realise the series of multicritical points in statistical theories having a D_N symmetry.

[ { "created": "Fri, 14 Mar 2003 07:08:02 GMT", "version": "v1" }, { "created": "Wed, 7 May 2003 14:08:24 GMT", "version": "v2" } ]

2009-11-10

[ [ "Dotsenko", "Vladimir S", "" ], [ "Jacobsen", "Jesper Lykke", "" ], [ "Santachiara", "Raoul", "" ] ]

We construct a parafermionic conformal theory with the symmetry Z_N, for N odd, based on the second solution of Fateev-Zamolodchikov for the corresponding parafermionic chiral algebra. Primary operators are classified according to their transformation properties under the dihedral group D_N, as singlet, doublet 1,2,...,(N-1)/2, and disorder operators. In an assumed Coulomb gas scenario, the corresponding vertex operators are accommodated by the weight lattice of the Lie algebra B_(N-1)/2. The unitary theories are representations of the coset SO_n(N) x SO_2(N) / SO_{n+2}(N), with n=1,2,... . Physically, they realise the series of multicritical points in statistical theories having a D_N symmetry.

10.631967

9.439847

11.786328

10.001905

9.794388

10.240703

8.961185

10.457006

10.066424

13.938271

10.267652

10.095793

11.271168

10.513954

10.53564

9.98726

10.719961

10.521073

10.725942

11.398867

10.413898

hep-th/0508091

Stoil Donev

Stoil Donev, Maria Tashkova

Integrability-Nonintegrability Structures and Individual Photons' Description as Finite Field Objects

17 pages, no figures, Latex

null

hep-th math-ph math.MP

null

This paper presents an attempt to come to a natural field model of individual photons considered as finite entities and propagating along some distinguished direction in space in a consistent translational-rotational manner. The starting assumption reflects their most trustful property to propagate translationally in a uniform way along straight lines. The model gives correct energy-momentum characteristics and connects the rotational characteristics of photons with corresponding nonintegrability (or curvature) of some 2-dimensional distributions (or Pfaff systems) on $\mathbb{R}^4$. It is obtained that the curvature is proportional to the corresponding energy-density. The field equations are obtained through a Lagrangian and they express a consistency condition between photon's translational and rotational propagation properties. The energy tensor is deduced directly from the equations since the corresponding Hilbert energy-tensor becomes zero on the solutions. Planck's formula $E=h\nu$ is naturally obtained as an integral translational-rotational consistency relation.

[ { "created": "Fri, 12 Aug 2005 12:53:03 GMT", "version": "v1" } ]

2007-05-23

[ [ "Donev", "Stoil", "" ], [ "Tashkova", "Maria", "" ] ]

This paper presents an attempt to come to a natural field model of individual photons considered as finite entities and propagating along some distinguished direction in space in a consistent translational-rotational manner. The starting assumption reflects their most trustful property to propagate translationally in a uniform way along straight lines. The model gives correct energy-momentum characteristics and connects the rotational characteristics of photons with corresponding nonintegrability (or curvature) of some 2-dimensional distributions (or Pfaff systems) on $\mathbb{R}^4$. It is obtained that the curvature is proportional to the corresponding energy-density. The field equations are obtained through a Lagrangian and they express a consistency condition between photon's translational and rotational propagation properties. The energy tensor is deduced directly from the equations since the corresponding Hilbert energy-tensor becomes zero on the solutions. Planck's formula $E=h\nu$ is naturally obtained as an integral translational-rotational consistency relation.

21.293261

22.820131

20.625412

21.895191

23.328239

21.61779

22.577827

21.337357

21.609795

21.756964

22.162254

21.030039

20.018549

20.306868

20.197884

20.958712

21.375912

20.273039

20.63122

21.160872

20.863503

2008.10739

Elda Guzman Elda Guzman-Herrera

Elda Guzman-Herrera and Nora Breton

Euler-Heisenberg waves propagating in a magnetic background

15 pages, 5 figures, 7 plots

null

10.1140/epjc/s10052-020-08783-1

null

hep-th gr-qc physics.optics

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

We derive the Euler-Heisenberg solutions that describe electromagnetic waves propagating through very intense uniform magnetic or electric background, with the effective metric approach. We first explore the case of a magnetic background: as a result of the interaction between the wave and the background there is birefringence and a longitudinal electric field component arises. The two phase velocities depend on the intensity of the external magnetic field and on the polarization of the wave; phase velocities can be slowed down up to the order of hundred thousandths for fields $B/B_{\rm cr} << 1$. The analogous study is done when the wave propagates through a uniform electric field. We then consider the situation when the background is in movement by means of a Lorentz boost, modeling then a magnetized flowing medium. We determined how this motion affects the speed of propagation of the electromagnetic wave, in this case the phase velocities depend on both the magnetic background and the direction and velocity of the boost.

[ { "created": "Mon, 24 Aug 2020 22:40:22 GMT", "version": "v1" }, { "created": "Thu, 10 Dec 2020 02:08:25 GMT", "version": "v2" } ]

2021-02-24

[ [ "Guzman-Herrera", "Elda", "" ], [ "Breton", "Nora", "" ] ]

We derive the Euler-Heisenberg solutions that describe electromagnetic waves propagating through very intense uniform magnetic or electric background, with the effective metric approach. We first explore the case of a magnetic background: as a result of the interaction between the wave and the background there is birefringence and a longitudinal electric field component arises. The two phase velocities depend on the intensity of the external magnetic field and on the polarization of the wave; phase velocities can be slowed down up to the order of hundred thousandths for fields $B/B_{\rm cr} << 1$. The analogous study is done when the wave propagates through a uniform electric field. We then consider the situation when the background is in movement by means of a Lorentz boost, modeling then a magnetized flowing medium. We determined how this motion affects the speed of propagation of the electromagnetic wave, in this case the phase velocities depend on both the magnetic background and the direction and velocity of the boost.

10.95191

12.11769

10.629622

10.792114

12.463496

12.283665

11.884562

10.843113

10.481797

11.011294

11.12764

11.006696

10.951567

10.818958

11.213643

11.229179

11.241336

10.694701

11.117492

10.518891

10.759652

hep-th/9709066

Mike Cassidy

M. J. Cassidy and S. W. Hawking

Models for Chronology Selection

20 pages, Latex

Phys.Rev. D57 (1998) 2372-2380

10.1103/PhysRevD.57.2372

DAMTP R-97/47

hep-th

null

In this paper, we derive an expression for the grand canonical partition function for a fluid of hot, rotating massless scalar field particles in the Einstein universe. We consider the number of states with a given energy as one increases the angular momentum so that the fluid rotates with an increasing angular velocity. We find that at the critical value when the velocity of the particles furthest from the origin reaches the speed of light, the number of states tends to zero. We illustrate how one can also interpret this partition function as the effective action for a boosted scalar field configuration in the product of three dimensional de Sitter space and $S^1$. In this case, we consider the number of states with a fixed linear momentum around the $S^1$ as the particles are given more and more boost momentum. At the critical point when the spacetime is about to develop closed timelike curves, the number of states again tends to zero. Thus it seems that quantum mechanics naturally enforces the chronology protection conjecture by superselecting the causality violating field configurations from the quantum mechanical phase space.

[ { "created": "Tue, 9 Sep 1997 08:07:13 GMT", "version": "v1" } ]

2009-10-30

[ [ "Cassidy", "M. J.", "" ], [ "Hawking", "S. W.", "" ] ]

In this paper, we derive an expression for the grand canonical partition function for a fluid of hot, rotating massless scalar field particles in the Einstein universe. We consider the number of states with a given energy as one increases the angular momentum so that the fluid rotates with an increasing angular velocity. We find that at the critical value when the velocity of the particles furthest from the origin reaches the speed of light, the number of states tends to zero. We illustrate how one can also interpret this partition function as the effective action for a boosted scalar field configuration in the product of three dimensional de Sitter space and $S^1$. In this case, we consider the number of states with a fixed linear momentum around the $S^1$ as the particles are given more and more boost momentum. At the critical point when the spacetime is about to develop closed timelike curves, the number of states again tends to zero. Thus it seems that quantum mechanics naturally enforces the chronology protection conjecture by superselecting the causality violating field configurations from the quantum mechanical phase space.

8.616304

9.01031

8.199286

7.815849

9.107486

8.922338

8.748893

8.368862

8.165135

8.616139

8.268766

8.479747

8.058237

8.041652

8.219837

8.102774

8.244853

8.117908

7.831506

8.1986

8.185506

hep-th/0404051

Jeong-Hyuck Park

Sangmin Lee and Jeong-Hyuck Park

Noncentral extension of the $AdS_{5} \times S^{5}$ superalgebra: supermultiplet of brane charges

1+29 pages, no figure; comments and refs added, to appear in JHEP

JHEP 0406:038,2004

10.1088/1126-6708/2004/06/038

IHES/P/04/15, STR-04-007, CERN-PH-TH/2004-064

hep-th math-ph math.MP

null

We propose an extension of the su(2,2|4) superalgebra to incorporate the $F1/D1$ string charges in type IIB string theory on the $AdS_{5} \times S^{5}$ background, or the electro-magnetic charges in the dual super Yang-Mills theory. With the charges introduced, the superalgebra inevitably undergoes a noncentral extension, as noted recently in [1]. After developing a group theoretical method of obtaining the noncentral extension, we show that the charges form a certain nonunitary representation of the original unextended superalgebra, subject to some constraints. We solve the constraints completely and show that, apart from the su(2,2|4) generators, there exist 899 complex brane charges in the extended algebra. Explicitly we present all the super-commutators among them.

[ { "created": "Tue, 6 Apr 2004 16:12:12 GMT", "version": "v1" }, { "created": "Tue, 25 May 2004 09:28:43 GMT", "version": "v2" } ]

2009-05-13

[ [ "Lee", "Sangmin", "" ], [ "Park", "Jeong-Hyuck", "" ] ]

We propose an extension of the su(2,2|4) superalgebra to incorporate the $F1/D1$ string charges in type IIB string theory on the $AdS_{5} \times S^{5}$ background, or the electro-magnetic charges in the dual super Yang-Mills theory. With the charges introduced, the superalgebra inevitably undergoes a noncentral extension, as noted recently in [1]. After developing a group theoretical method of obtaining the noncentral extension, we show that the charges form a certain nonunitary representation of the original unextended superalgebra, subject to some constraints. We solve the constraints completely and show that, apart from the su(2,2|4) generators, there exist 899 complex brane charges in the extended algebra. Explicitly we present all the super-commutators among them.

9.367268

8.588051

9.739256

8.910899

9.018532

9.523206

9.068374

8.701951

8.384693

11.416376

8.714465

8.596487

9.342602

8.872656

8.790204

8.759336

8.80404

8.647868

8.971156

9.349149

8.906806

hep-th/0703125

Hugo Garcia-Compean

I. Galaviz, H. Garcia-Compean, M. Przanowski, F.J. Turrubiates

Deformation Quantization of Fermi Fields

19+1 pages, no figures, revtex4 file style

Annals Phys.323:827-844,2008

10.1016/j.aop.2007.05.006

Cinvestav-13-07

hep-th

null

Deformation quantization for any Grassmann scalar free field is described via the Weyl-Wigner-Moyal formalism. The Stratonovich-Weyl quantizer, the Moyal $\star$-product and the Wigner functional are obtained by extending the formalism proposed recently in [35] to the fermionic systems of infinite number of degrees of freedom. In particular, this formalism is applied to quantize the Dirac free field. It is observed that the use of suitable oscillator variables facilitates considerably the procedure. The Stratonovich-Weyl quantizer, the Moyal $\star$-product, the Wigner functional, the normal ordering operator, and finally, the Dirac propagator have been found with the use of these variables.

[ { "created": "Wed, 14 Mar 2007 00:43:42 GMT", "version": "v1" } ]

2011-07-19

[ [ "Galaviz", "I.", "" ], [ "Garcia-Compean", "H.", "" ], [ "Przanowski", "M.", "" ], [ "Turrubiates", "F. J.", "" ] ]

Deformation quantization for any Grassmann scalar free field is described via the Weyl-Wigner-Moyal formalism. The Stratonovich-Weyl quantizer, the Moyal $\star$-product and the Wigner functional are obtained by extending the formalism proposed recently in [35] to the fermionic systems of infinite number of degrees of freedom. In particular, this formalism is applied to quantize the Dirac free field. It is observed that the use of suitable oscillator variables facilitates considerably the procedure. The Stratonovich-Weyl quantizer, the Moyal $\star$-product, the Wigner functional, the normal ordering operator, and finally, the Dirac propagator have been found with the use of these variables.

8.107317

7.335869

7.908438

6.996119

7.069917

6.895784

6.948417

6.586549

6.895875

8.523028

7.198543

7.06612

7.428138

6.9048

6.988006

7.077733

7.173931

7.130202

6.952988

7.17065

7.055327

0810.3296

Mohammad Reza Setare

M. R. Setare and E. N. Saridakis

Correspondence between Holographic and Gauss-Bonnet dark energy models

10 pages, no figures. Has been accepted for publication in Physics Letters B

Phys.Lett.B670:1-4,2008

10.1016/j.physletb.2008.10.029

null

hep-th astro-ph gr-qc

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

In the present work we investigate the cosmological implications of holographic dark energy density in the Gauss-Bonnet framework. By formulating independently the two cosmological scenarios, and by enforcing their simultaneous validity, we show that there is a correspondence between the holographic dark energy scenario in flat universe and the phantom dark energy model in the framework of Gauss-Bonnet theory with a potential. This correspondence leads consistently to an accelerating universe. However, in general one has not full freedom of constructing independently the two cosmological scenarios. Specific constraints must be imposed on the coupling with gravity and on the potential.

[ { "created": "Sat, 18 Oct 2008 08:17:03 GMT", "version": "v1" } ]

2008-12-18

[ [ "Setare", "M. R.", "" ], [ "Saridakis", "E. N.", "" ] ]

In the present work we investigate the cosmological implications of holographic dark energy density in the Gauss-Bonnet framework. By formulating independently the two cosmological scenarios, and by enforcing their simultaneous validity, we show that there is a correspondence between the holographic dark energy scenario in flat universe and the phantom dark energy model in the framework of Gauss-Bonnet theory with a potential. This correspondence leads consistently to an accelerating universe. However, in general one has not full freedom of constructing independently the two cosmological scenarios. Specific constraints must be imposed on the coupling with gravity and on the potential.

12.116285

11.009729

10.823409

10.86412

10.603081

11.10133

11.041622

10.266831

10.355033

11.238098

10.995599

10.846332

11.41156

10.948616

11.116617

11.207285

10.985952

10.66178

11.192782

11.603998

11.218957

hep-th/0008079

Mikhail Shaposhnikov

Seif Randjbar-Daemi and Mikhail Shaposhnikov

Fermion zero-modes on brane-worlds

Latex, 5 pages. A factor "2" mistake that propagated through a number of equations is corrected. Conclusions unchanged

Phys.Lett. B492 (2000) 361-364

10.1016/S0370-2693(00)01100-X

UNIL-IPT-00-17, IC/2000/134

hep-th hep-ph

null

We study localization of bulk fermions on a brane with inclusion of Yang-Mills and scalar backgrounds in higher dimensions and give the conditions under which localized chiral fermions can be obtained.

[ { "created": "Wed, 9 Aug 2000 14:38:32 GMT", "version": "v1" }, { "created": "Fri, 22 Sep 2000 15:08:52 GMT", "version": "v2" }, { "created": "Mon, 18 Jun 2001 08:05:12 GMT", "version": "v3" } ]

2009-10-31

[ [ "Randjbar-Daemi", "Seif", "" ], [ "Shaposhnikov", "Mikhail", "" ] ]

We study localization of bulk fermions on a brane with inclusion of Yang-Mills and scalar backgrounds in higher dimensions and give the conditions under which localized chiral fermions can be obtained.

16.69582

6.362298

10.701361

8.319304

8.589573

9.031633

7.805586

8.069635

8.26081

10.884745

9.088369

9.505537

10.791792

9.931207

9.976852

9.703461

10.300012

9.80328

10.187304

11.210532

9.960239

0801.0234

Orlando Alvarez

Orlando Alvarez, Blazej Ruszczycki

Target Space Duality: The Dilaton Field

11 pages

null

hep-th

null

Classical target space duality transformations are studied for the non-linear sigma model with a dilaton field. Working within the framework of the Hamiltonian formalism we require the duality transformation to be a property only of the target spaces. We obtain a set of restrictions on the geometrical data.

[ { "created": "Mon, 31 Dec 2007 19:29:59 GMT", "version": "v1" } ]

2008-01-03

[ [ "Alvarez", "Orlando", "" ], [ "Ruszczycki", "Blazej", "" ] ]

Classical target space duality transformations are studied for the non-linear sigma model with a dilaton field. Working within the framework of the Hamiltonian formalism we require the duality transformation to be a property only of the target spaces. We obtain a set of restrictions on the geometrical data.

14.15676

9.886358

11.630283

9.859079

10.712919

11.165008

11.088873

10.388235

10.318665

12.470014

9.762986

10.348769

11.9266

10.357334

10.701327

10.546378

10.62518

9.968431

10.18513

11.677351

10.548881

hep-th/0007111

G. Vlasov

G. Vlasov (Moscow Aviat. and Landau)

The superfluidity of fermions coupled to gravity

LaTeX, 10 pages, no figures

null

hep-th gr-qc hep-ph

null

We investigate superfluidity of the relativistic fermi-gas with gravitational interaction. The excitation spectrum is obtained within the linearized theory. While superfluidity may take place at a definite ratio of the Fermi momentum, rest mass and coupling constant, the metric coefficients play predominant role forming the gap of excitation spectrum.

[ { "created": "Fri, 14 Jul 2000 13:35:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "Vlasov", "G.", "", "Moscow Aviat. and Landau" ] ]

We investigate superfluidity of the relativistic fermi-gas with gravitational interaction. The excitation spectrum is obtained within the linearized theory. While superfluidity may take place at a definite ratio of the Fermi momentum, rest mass and coupling constant, the metric coefficients play predominant role forming the gap of excitation spectrum.

20.472307

21.986216

18.389782

20.063559

18.727341

20.721128

19.922981

18.61569

18.916965

21.293911

18.921356

18.759481

20.637491

19.042837

19.053701

19.293064

19.292534

19.198425

18.52973

19.984585

18.572596

1702.06935

Masanori Hanada

Masanori Hanada, Hidehiko Shimada and Masaki Tezuka

Universality in Chaos: Lyapunov Spectrum and Random Matrix Theory

5 pages + supplementary materials. v2: minor corrections, references added. v3: a lot more evidence added. v4: the version appeared in Phys. Rev. E

Phys. Rev. E 97, 022224 (2018)

10.1103/PhysRevE.97.022224

null

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

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

We propose the existence of a new universality in classical chaotic systems when the number of degrees of freedom is large: the statistical property of the Lyapunov spectrum is described by Random Matrix Theory. We demonstrate it by studying the finite-time Lyapunov exponents of the matrix model of a stringy black hole and the mass deformed models. The massless limit, which has a dual string theory interpretation, is special in that the universal behavior can be seen already at t=0, while in other cases it sets in at late time. The same pattern is demonstrated also in the product of random matrices.

[ { "created": "Wed, 22 Feb 2017 18:36:24 GMT", "version": "v1" }, { "created": "Wed, 12 Apr 2017 04:41:15 GMT", "version": "v2" }, { "created": "Mon, 16 Oct 2017 04:16:55 GMT", "version": "v3" }, { "created": "Mon, 12 Mar 2018 01:27:38 GMT", "version": "v4" } ]

2018-03-13

[ [ "Hanada", "Masanori", "" ], [ "Shimada", "Hidehiko", "" ], [ "Tezuka", "Masaki", "" ] ]

We propose the existence of a new universality in classical chaotic systems when the number of degrees of freedom is large: the statistical property of the Lyapunov spectrum is described by Random Matrix Theory. We demonstrate it by studying the finite-time Lyapunov exponents of the matrix model of a stringy black hole and the mass deformed models. The massless limit, which has a dual string theory interpretation, is special in that the universal behavior can be seen already at t=0, while in other cases it sets in at late time. The same pattern is demonstrated also in the product of random matrices.

8.951169

8.289295

9.418661

8.549441

8.630398

8.974705

9.212976

8.791176

8.352614

11.186164

8.5124

8.096446

9.647868

8.388265

8.426562

8.179373

8.21355

8.046765

8.86088

9.152782

8.319218

hep-th/0112182

Andrew K. Waldron

Stanley Deser and Andrew Waldron

Inconsistencies of Massive Charged Gravitating Higher Spins

25 pages, latex

Nucl.Phys.B631:369-387,2002

10.1016/S0550-3213(02)00199-2

BRX-TH 478

hep-th gr-qc hep-ph nucl-th

null

We examine the causality and degrees of freedom (DoF) problems encountered by charged, gravitating, massive higher spin fields. For spin s=3/2, making the metric dynamical yields improved causality bounds. These involve only the mass, the product eM_P of the charge and Planck mass and the cosmological constant \Lambda. The bounds are themselves related to a gauge invariance of the timelike component of the field equation at the onset of acausality. While propagation is causal in arbitrary E/M backgrounds, the allowed mass ranges of parameters are of Planck order. Generically, interacting spins s>3/2 are subject to DoF violations as well as to acausality; the former must be overcome before analysis of the latter can even begin. Here we review both difficulties for charged s=2 and show that while a g-factor of 1/2 solves the DoF problem, acausality persists for any g. Separately we establish that no s=2 theory --DoF preserving or otherwise -- can be tree unitary.

[ { "created": "Wed, 19 Dec 2001 20:13:12 GMT", "version": "v1" } ]

2008-11-26

[ [ "Deser", "Stanley", "" ], [ "Waldron", "Andrew", "" ] ]

We examine the causality and degrees of freedom (DoF) problems encountered by charged, gravitating, massive higher spin fields. For spin s=3/2, making the metric dynamical yields improved causality bounds. These involve only the mass, the product eM_P of the charge and Planck mass and the cosmological constant \Lambda. The bounds are themselves related to a gauge invariance of the timelike component of the field equation at the onset of acausality. While propagation is causal in arbitrary E/M backgrounds, the allowed mass ranges of parameters are of Planck order. Generically, interacting spins s>3/2 are subject to DoF violations as well as to acausality; the former must be overcome before analysis of the latter can even begin. Here we review both difficulties for charged s=2 and show that while a g-factor of 1/2 solves the DoF problem, acausality persists for any g. Separately we establish that no s=2 theory --DoF preserving or otherwise -- can be tree unitary.

16.588028

17.452694

15.815748

15.213134

16.110952

16.926321

16.879517

15.362952

16.074743

18.579575

15.765924

15.608034

15.861163

15.456516

15.743661

15.979381

16.095848

15.520666

15.494491

15.802272

15.465482

1309.2189

Erik Tonni

Andrea Coser, Luca Tagliacozzo, Erik Tonni

On R\'enyi entropies of disjoint intervals in conformal field theory

66 pages, 34 figures

J. Stat. Mech. (2014) P01008

10.1088/1742-5468/2014/01/P01008

null

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

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

We study the R\'enyi entropies of N disjoint intervals in the conformal field theories given by the free compactified boson and the Ising model. They are computed as the 2N point function of twist fields, by employing the partition function of the model on a particular class of Riemann surfaces. The results are written in terms of Riemann theta functions. The prediction for the free boson in the decompactification regime is checked against exact results for the harmonic chain. For the Ising model, matrix product states computations agree with the conformal field theory result once the finite size corrections have been taken into account.

[ { "created": "Mon, 9 Sep 2013 15:20:50 GMT", "version": "v1" } ]

2014-01-27

[ [ "Coser", "Andrea", "" ], [ "Tagliacozzo", "Luca", "" ], [ "Tonni", "Erik", "" ] ]

We study the R\'enyi entropies of N disjoint intervals in the conformal field theories given by the free compactified boson and the Ising model. They are computed as the 2N point function of twist fields, by employing the partition function of the model on a particular class of Riemann surfaces. The results are written in terms of Riemann theta functions. The prediction for the free boson in the decompactification regime is checked against exact results for the harmonic chain. For the Ising model, matrix product states computations agree with the conformal field theory result once the finite size corrections have been taken into account.

7.086367

6.330725

9.11859

6.615602

7.273073

6.809002

6.188269

6.486611

6.847316

10.090061

6.266613

6.723768

7.300831

6.830139

6.717175

6.743765

6.834949

6.627145

6.613392

7.21653

6.468915

2108.13542

Yuji Tachikawa

Yuji Tachikawa and Mayuko Yamashita

Topological modular forms and the absence of all heterotic global anomalies

36 pages; v2: incorporates many suggestions by a helpful anonymous referee

null

10.1007/s00220-023-04761-2

null

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

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

We reformulate the question of the absence of global anomalies of heterotic string theory mathematically in terms of a certain natural transformation $\mathrm{TMF}^\bullet\to (I_{\mathbb{Z}}\Omega^\text{string})^{\bullet-20}$, from topological modular forms to the Anderson dual of string bordism groups, using the Segal-Stolz-Teichner conjecture. We will show that this natural transformation vanishes, implying that heterotic global anomalies are always absent. The fact that $\mathrm{TMF}^{21}(\mathrm{pt})=0$ plays an important role in the process. Along the way, we also discuss how the twists of $\mathrm{TMF}$ can be described under the Segal-Stolz-Teichner conjecture, by using the result of Freed and Hopkins concerning anomalies of quantum field theories. The paper contains separate introductions for mathematicians and for string theorists, in the hope of making the content more accessible to a larger audience. The sections are also demarcated cleanly into mathematically rigorous parts and those which are not.

[ { "created": "Mon, 30 Aug 2021 22:41:06 GMT", "version": "v1" }, { "created": "Tue, 18 Apr 2023 14:09:14 GMT", "version": "v2" } ]

2023-07-26

[ [ "Tachikawa", "Yuji", "" ], [ "Yamashita", "Mayuko", "" ] ]

We reformulate the question of the absence of global anomalies of heterotic string theory mathematically in terms of a certain natural transformation $\mathrm{TMF}^\bullet\to (I_{\mathbb{Z}}\Omega^\text{string})^{\bullet-20}$, from topological modular forms to the Anderson dual of string bordism groups, using the Segal-Stolz-Teichner conjecture. We will show that this natural transformation vanishes, implying that heterotic global anomalies are always absent. The fact that $\mathrm{TMF}^{21}(\mathrm{pt})=0$ plays an important role in the process. Along the way, we also discuss how the twists of $\mathrm{TMF}$ can be described under the Segal-Stolz-Teichner conjecture, by using the result of Freed and Hopkins concerning anomalies of quantum field theories. The paper contains separate introductions for mathematicians and for string theorists, in the hope of making the content more accessible to a larger audience. The sections are also demarcated cleanly into mathematically rigorous parts and those which are not.

7.969151

8.399227

8.943816

7.143925

8.03171

7.989759

8.088222

8.57775

7.670027

9.552563

7.564477

7.3551

7.608458

7.122722

7.335331

7.283529

7.255196

7.292207

7.264819

7.653116

7.030092

1804.10124

Masataka Matsumoto

Masataka Matsumoto and Shin Nakamura

Critical Exponents of Nonequilibrium Phase Transitions in AdS/CFT Correspondence

8 pages, 14 figures. v2: typos corrected, published version in PRD

Phys. Rev. D 98, 106027 (2018)

10.1103/PhysRevD.98.106027

null

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

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

We study critical phenomena of nonequilibrium phase transitions by using the AdS/CFT correspondence. Our system consists of charged particles interacting with a heat bath of neutral gauge particles. The system is in current-driven nonequilibrium steady state, and the nonequilibrium phase transition is associated with nonlinear electric conductivity. We define a susceptibility as a response of the system to the current variation. We further define a critical exponent from the power-law divergence of the susceptibility. We find that the critical exponent and the critical amplitude ratio of the susceptibility agree with those of the Landau theory of equilibrium phase transitions, if we identify the current as the external field in the Landau theory.

[ { "created": "Thu, 26 Apr 2018 15:57:57 GMT", "version": "v1" }, { "created": "Tue, 4 Dec 2018 19:30:09 GMT", "version": "v2" } ]

2018-12-06

[ [ "Matsumoto", "Masataka", "" ], [ "Nakamura", "Shin", "" ] ]

We study critical phenomena of nonequilibrium phase transitions by using the AdS/CFT correspondence. Our system consists of charged particles interacting with a heat bath of neutral gauge particles. The system is in current-driven nonequilibrium steady state, and the nonequilibrium phase transition is associated with nonlinear electric conductivity. We define a susceptibility as a response of the system to the current variation. We further define a critical exponent from the power-law divergence of the susceptibility. We find that the critical exponent and the critical amplitude ratio of the susceptibility agree with those of the Landau theory of equilibrium phase transitions, if we identify the current as the external field in the Landau theory.

7.435768

6.766271

7.073825

6.607473

6.519092

6.797303

6.394207

6.750016

6.599048

7.627022

6.65024

7.053859

6.921372

6.85011

6.745396

7.01398

7.044055

6.956581

7.223491

6.929226

7.023038

0906.3518

Alexei Morozov

A.Morozov

Unitary Integrals and Related Matrix Models

27 pages

Theor.Math.Phys.162:1-33,2010; Teor.Mat.Fiz.161:3-40,2010

10.1007/s11232-010-0001-y

ITEP/TH-20/09

hep-th math-ph math.MP

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

Concise review of the basic properties of unitary matrix integrals. They are studied with the help of the three matrix models: the ordinary unitary model, Brezin-Gross-Witten model and the Harish-Charndra-Itzykson-Zuber model. Especial attention is paid to the tricky sides of the story, from De Wit-t'Hooft anomaly in unitary integrals to the problem of correlators with Itzykson-Zuber measure. Of technical tools emphasized is the method of character expansions. The subject of unitary integrals remains highly under-investigated and a lot of new results are expected in this field when it attracts sufficient attention.

[ { "created": "Thu, 18 Jun 2009 20:14:16 GMT", "version": "v1" }, { "created": "Wed, 6 Oct 2010 21:43:37 GMT", "version": "v2" }, { "created": "Tue, 12 Oct 2010 05:34:08 GMT", "version": "v3" } ]

2011-04-07

[ [ "Morozov", "A.", "" ] ]

Concise review of the basic properties of unitary matrix integrals. They are studied with the help of the three matrix models: the ordinary unitary model, Brezin-Gross-Witten model and the Harish-Charndra-Itzykson-Zuber model. Especial attention is paid to the tricky sides of the story, from De Wit-t'Hooft anomaly in unitary integrals to the problem of correlators with Itzykson-Zuber measure. Of technical tools emphasized is the method of character expansions. The subject of unitary integrals remains highly under-investigated and a lot of new results are expected in this field when it attracts sufficient attention.

15.693596

15.667056

17.167742

15.120543

15.314905

14.829226

16.404766

16.240648

14.192024

20.090361

14.842179

14.347857

15.74878

14.669969

14.363219

14.566804

14.540413

14.928877

13.970162

14.642682

14.667768

1410.4594

Mikhail Isachenkov

Mikhail Isachenkov, Ingo Kirsch, Volker Schomerus

Chiral Ring of Strange Metals: The Multicolor Limit

25 pages, 4 figures

null

10.1016/j.nuclphysb.2015.06.010

DESY 14-169

hep-th

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

The low energy limit of a dense 2D adjoint QCD is described by a family of ${\cal N}=(2,2)$ supersymmetric coset conformal field theories. In previous work we constructed chiral primaries for a small number $N < 6$ of colors. Our aim in the present note is to determine the chiral ring in the multicolor limit where $N$ is sent to infinity. We shall find that chiral primaries are labeled by partitions and identify the ring they generate as the ring of Schur polynomials. Our findings impose strong constraints on the possible dual description through string theory in an $AdS_3$ compactification.

[ { "created": "Thu, 16 Oct 2014 21:34:14 GMT", "version": "v1" } ]

2015-12-09

[ [ "Isachenkov", "Mikhail", "" ], [ "Kirsch", "Ingo", "" ], [ "Schomerus", "Volker", "" ] ]

The low energy limit of a dense 2D adjoint QCD is described by a family of ${\cal N}=(2,2)$ supersymmetric coset conformal field theories. In previous work we constructed chiral primaries for a small number $N < 6$ of colors. Our aim in the present note is to determine the chiral ring in the multicolor limit where $N$ is sent to infinity. We shall find that chiral primaries are labeled by partitions and identify the ring they generate as the ring of Schur polynomials. Our findings impose strong constraints on the possible dual description through string theory in an $AdS_3$ compactification.

8.881051

7.90489

10.106731

8.386961

8.789851

8.863418

8.22013

7.85504

7.574956

9.865341

8.054749

7.981553

8.749064

7.871572

8.298642

8.487625

8.290285

8.19467

7.987186

8.850849

7.965012

2406.04125

Takayuki Hirayama

Particle creation using the classical stochastic method

8 pages

null

hep-th hep-lat quant-ph

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

We compute the particle creation of a harmonic oscillator using the classical stochastic method. This method reproduces all the vacuum expectation values in quantum theory. We prepare the vacuum state at the initial time and evolve it over time using Langevin equations of motion. By averaging over the ensemble, we compute the energy of the state at the final time and determine the amount of particles created. We verify that the particle creation agrees with predictions from quantum theory.

[ { "created": "Thu, 6 Jun 2024 14:47:45 GMT", "version": "v1" } ]

2024-06-07

[ [ "Hirayama", "Takayuki", "" ] ]

We compute the particle creation of a harmonic oscillator using the classical stochastic method. This method reproduces all the vacuum expectation values in quantum theory. We prepare the vacuum state at the initial time and evolve it over time using Langevin equations of motion. By averaging over the ensemble, we compute the energy of the state at the final time and determine the amount of particles created. We verify that the particle creation agrees with predictions from quantum theory.

10.36629

10.270927

9.345171

9.525674

10.342906

9.459243

10.778928

9.20346

10.002172

10.344433

9.487897

10.180939

10.393175

10.001491

9.91709

9.651795

9.954979

9.764899

9.779552

10.620565

9.398643

2202.02986

Yunfeng Jiang

Janko B\"ohm, Jesper Lykke Jacobsen, Yunfeng Jiang, Yang Zhang

Geometric Algebra and Algebraic Geometry of Loop and Potts Models

66 pages

null

10.1007/JHEP05(2022)068

USTC-ICTS/PCFT-22-03

hep-th cond-mat.stat-mech nlin.SI

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

We uncover a connection between two seemingly separate subjects in integrable models: the representation theory of the affine Temperley-Lieb algebra, and the algebraic structure of solutions to the Bethe equations of the XXZ spin chain. We study the solution of Bethe equations analytically by computational algebraic geometry, and find that the solution space encodes rich information about the representation theory of Temperley-Lieb algebra. Using these connections, we compute the partition function of the completely-packed loop model and of the closely related random-cluster Potts model, on medium-size lattices with toroidal boundary conditions, by two quite different methods. We consider the partial thermodynamic limit of infinitely long tori and analyze the corresponding condensation curves of the zeros of the partition functions. Two components of these curves are obtained analytically in the full thermodynamic limit.

[ { "created": "Mon, 7 Feb 2022 07:56:03 GMT", "version": "v1" } ]

2022-06-01

[ [ "Böhm", "Janko", "" ], [ "Jacobsen", "Jesper Lykke", "" ], [ "Jiang", "Yunfeng", "" ], [ "Zhang", "Yang", "" ] ]

We uncover a connection between two seemingly separate subjects in integrable models: the representation theory of the affine Temperley-Lieb algebra, and the algebraic structure of solutions to the Bethe equations of the XXZ spin chain. We study the solution of Bethe equations analytically by computational algebraic geometry, and find that the solution space encodes rich information about the representation theory of Temperley-Lieb algebra. Using these connections, we compute the partition function of the completely-packed loop model and of the closely related random-cluster Potts model, on medium-size lattices with toroidal boundary conditions, by two quite different methods. We consider the partial thermodynamic limit of infinitely long tori and analyze the corresponding condensation curves of the zeros of the partition functions. Two components of these curves are obtained analytically in the full thermodynamic limit.

9.909104

8.578032

11.651362

9.387575

8.8153

9.903641

8.743088

9.764229

8.926281

11.656603

9.324662

9.112447

9.687414

9.462108

9.334229

8.999227

9.18176

9.318735

9.269478

9.842371

9.004836

0704.1085

Teruhiko Kawano

Teruhiko Kawano, Hirosi Ooguri, and Yutaka Ookouchi

Gauge Mediation in String Theory

7 pages, 1 figure, harvmac. v2: references added and typos corrected

Phys.Lett.B652:40-42,2007

10.1016/j.physletb.2007.06.056

CALT-68-2642, UT-07-12

hep-th hep-ph

null

We show that a large class of phenomenologically viable models for gauge mediation of supersymmetry breaking based on meta-stable vacua can be realized in local Calabi-Yau compactifications of string theory.

[ { "created": "Mon, 9 Apr 2007 09:03:00 GMT", "version": "v1" }, { "created": "Wed, 11 Apr 2007 10:23:39 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kawano", "Teruhiko", "" ], [ "Ooguri", "Hirosi", "" ], [ "Ookouchi", "Yutaka", "" ] ]

We show that a large class of phenomenologically viable models for gauge mediation of supersymmetry breaking based on meta-stable vacua can be realized in local Calabi-Yau compactifications of string theory.

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0902.4387

Ahmad Ghodsi

Mohammad R. Garousi, Ahmad Ghodsi

The RN/CFT Correspondence

14 pages, latex; Version published in PLB.

Phys.Lett.B687:79-83,2010

10.1016/j.physletb.2010.03.002

null

hep-th

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

Recently it has been shown in 0901.0931 [hep-th] that the approach to extremality for the non-extremal Reissner-Nordstrom black hole is not continuous. The non-extremal RN black hole splits into two spacetimes at the extremality: an extremal black hole and a disconnected $AdS_2\times S^2$ space which has been called the "compactification solution". As a possible resolution for understanding the entropy of extremal RN black hole, it has been speculated that the entropy of the non-extremal black hole may be carried by the latter solution. By uplifting the four dimensional "compactification solution" with electric charge $Q_e$ to a five dimensional solution, we show that this solution is dual to a CFT with central charge $c=6Q_e^3$. The Cardy formula then shows that the microscopic entropy of the CFT is the same as the macroscopic entropy of the "compactification solution".

[ { "created": "Wed, 25 Feb 2009 15:06:04 GMT", "version": "v1" }, { "created": "Wed, 4 Mar 2009 13:42:04 GMT", "version": "v2" }, { "created": "Wed, 18 Mar 2009 13:18:03 GMT", "version": "v3" }, { "created": "Sun, 23 Aug 2009 11:33:36 GMT", "version": "v4" }, { "created": "Mon, 15 Mar 2010 08:53:04 GMT", "version": "v5" } ]

2014-11-18

[ [ "Garousi", "Mohammad R.", "" ], [ "Ghodsi", "Ahmad", "" ] ]

Recently it has been shown in 0901.0931 [hep-th] that the approach to extremality for the non-extremal Reissner-Nordstrom black hole is not continuous. The non-extremal RN black hole splits into two spacetimes at the extremality: an extremal black hole and a disconnected $AdS_2\times S^2$ space which has been called the "compactification solution". As a possible resolution for understanding the entropy of extremal RN black hole, it has been speculated that the entropy of the non-extremal black hole may be carried by the latter solution. By uplifting the four dimensional "compactification solution" with electric charge $Q_e$ to a five dimensional solution, we show that this solution is dual to a CFT with central charge $c=6Q_e^3$. The Cardy formula then shows that the microscopic entropy of the CFT is the same as the macroscopic entropy of the "compactification solution".

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