LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1808.04380

Victor Gorbenko

Victor Gorbenko, Slava Rychkov, Bernardo Zan

Walking, Weak first-order transitions, and Complex CFTs II. Two-dimensional Potts model at $Q>4$

34 pages, 13 figures. v2: refs added; v3 refs added, typos corrected, presentation of several arguments clarified

SciPost Phys. 5, 050 (2018)

10.21468/SciPostPhys.5.5.050

null

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

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

We study complex CFTs describing fixed points of the two-dimensional $Q$-state Potts model with $Q>4$. Their existence is closely related to the weak first-order phase transition and walking RG behavior present in the real Potts model at $Q>4$. The Potts model, apart from its own significance, serves as an ideal playground for testing this very general relation. Cluster formulation provides nonperturbative definition for a continuous range of parameter $Q$, while Coulomb gas description and connection to minimal models provide some conformal data of the complex CFTs. We use one and two-loop conformal perturbation theory around complex CFTs to compute various properties of the real walking RG flow. These properties, such as drifting scaling dimensions, appear to be common features of the QFTs with walking RG flows, and can serve as a smoking gun for detecting walking in Monte Carlo simulations. The complex CFTs discussed in this work are perfectly well defined, and can in principle be seen in Monte Carlo simulations with complexified coupling constants. In particular, we predict a pair of $S_5$-symmetric complex CFTs with central charges $c\approx 1.138 \pm 0.021 i$ describing the fixed points of a 5-state dilute Potts model with complexified temperature and vacancy fugacity.

[ { "created": "Mon, 13 Aug 2018 18:00:12 GMT", "version": "v1" }, { "created": "Tue, 28 Aug 2018 12:06:20 GMT", "version": "v2" }, { "created": "Fri, 12 Oct 2018 23:48:22 GMT", "version": "v3" } ]

2018-11-28

[ [ "Gorbenko", "Victor", "" ], [ "Rychkov", "Slava", "" ], [ "Zan", "Bernardo", "" ] ]

We study complex CFTs describing fixed points of the two-dimensional $Q$-state Potts model with $Q>4$. Their existence is closely related to the weak first-order phase transition and walking RG behavior present in the real Potts model at $Q>4$. The Potts model, apart from its own significance, serves as an ideal playground for testing this very general relation. Cluster formulation provides nonperturbative definition for a continuous range of parameter $Q$, while Coulomb gas description and connection to minimal models provide some conformal data of the complex CFTs. We use one and two-loop conformal perturbation theory around complex CFTs to compute various properties of the real walking RG flow. These properties, such as drifting scaling dimensions, appear to be common features of the QFTs with walking RG flows, and can serve as a smoking gun for detecting walking in Monte Carlo simulations. The complex CFTs discussed in this work are perfectly well defined, and can in principle be seen in Monte Carlo simulations with complexified coupling constants. In particular, we predict a pair of $S_5$-symmetric complex CFTs with central charges $c\approx 1.138 \pm 0.021 i$ describing the fixed points of a 5-state dilute Potts model with complexified temperature and vacancy fugacity.

9.198307

10.799664

11.112626

9.606903

10.678896

11.09822

10.479473

10.98568

10.304128

10.660089

9.963033

9.472303

9.351949

9.230497

9.084874

8.967362

9.177768

9.1771

8.988551

9.364521

9.046824

1203.1442

Rio Saitou

Rio Saitou, Shin'ichi Nojiri

Stable phantom-divide crossing in two scalar models with matter

12 pages, 1 figure

null

10.1140/epjc/s10052-012-1946-9

null

hep-th astro-ph.CO gr-qc

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

We construct cosmological models with two scalar fields, which has the structure as in the ghost condensation model or k-essence model. The models can describe the stable phantom crossing, which should be contrasted with one scalar tensor models, where the infinite instability occurs at the crossing the phantom divide. We give a general formulation of the reconstruction in terms of the e-foldings N by including the matter although in the previous two scalar models, which are extensions of the scalar tensor model, it was difficult to give a formulation of the reconstruction when we include matters. In the formulation of the reconstruction, we start with a model with some arbitrary functions, and find the functions which generates the history in the expansion of the universe. We also give general arguments for the stabilities of the models and the reconstructed solution. The viability of a model is also investigated by comparing the observational data.

[ { "created": "Wed, 7 Mar 2012 11:24:17 GMT", "version": "v1" }, { "created": "Wed, 14 Mar 2012 04:49:25 GMT", "version": "v2" } ]

2015-06-04

[ [ "Saitou", "Rio", "" ], [ "Nojiri", "Shin'ichi", "" ] ]

We construct cosmological models with two scalar fields, which has the structure as in the ghost condensation model or k-essence model. The models can describe the stable phantom crossing, which should be contrasted with one scalar tensor models, where the infinite instability occurs at the crossing the phantom divide. We give a general formulation of the reconstruction in terms of the e-foldings N by including the matter although in the previous two scalar models, which are extensions of the scalar tensor model, it was difficult to give a formulation of the reconstruction when we include matters. In the formulation of the reconstruction, we start with a model with some arbitrary functions, and find the functions which generates the history in the expansion of the universe. We also give general arguments for the stabilities of the models and the reconstructed solution. The viability of a model is also investigated by comparing the observational data.

13.506266

13.635454

13.9527

13.589265

13.810308

14.194864

14.206765

12.70901

13.603901

14.868147

13.736177

13.696787

13.179277

12.96052

13.24415

13.3445

13.414062

13.42395

13.725996

13.765963

13.328369

1209.5403

Christoph Adam

C. Adam, J. Sanchez-Guillen, A. Wereszczynski, W. J. Zakrzewski

Topological duality between vortices and planar skyrmions in BPS theories with APD symmetries

Latex, 18 pages, references added, typos corrected

null

10.1103/PhysRevD.87.027703

null

hep-th math-ph math.MP

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

The BPS baby Skyrme models are submodels of baby Skyrme models, where the nonlinear sigma model term is suppressed. They have skyrmion solutions saturating a BPS bound, and the corresponding static energy functional is invariant under area-preserving diffeomorphisms (APDs). Here we show that the solitons in the BPS baby Skyrme model, which carry a nontrivial topological charge $Q_{b} \in \pi_2(S^2)$ (a winding number), are dual to vortices in a BPS vortex model with a topological charge $Q_{v}\in \pi_1(S^1)$ (a vortex number), in the sense that there is a map between the BPS solutions of the two models. The corresponding energy densities of the BPS solutions of the two models are identical. A further consequence of the duality is that the dual BPS vortex models inherit the BPS property and the infinitely many symmetries (APDs) of the BPS baby Skyrme models. Finally, we demonstrate that the same topological duality continues to hold for the U(1) gauged versions of the models.

[ { "created": "Mon, 24 Sep 2012 20:02:31 GMT", "version": "v1" }, { "created": "Wed, 3 Oct 2012 18:53:09 GMT", "version": "v2" } ]

2013-05-30

[ [ "Adam", "C.", "" ], [ "Sanchez-Guillen", "J.", "" ], [ "Wereszczynski", "A.", "" ], [ "Zakrzewski", "W. J.", "" ] ]

The BPS baby Skyrme models are submodels of baby Skyrme models, where the nonlinear sigma model term is suppressed. They have skyrmion solutions saturating a BPS bound, and the corresponding static energy functional is invariant under area-preserving diffeomorphisms (APDs). Here we show that the solitons in the BPS baby Skyrme model, which carry a nontrivial topological charge $Q_{b} \in \pi_2(S^2)$ (a winding number), are dual to vortices in a BPS vortex model with a topological charge $Q_{v}\in \pi_1(S^1)$ (a vortex number), in the sense that there is a map between the BPS solutions of the two models. The corresponding energy densities of the BPS solutions of the two models are identical. A further consequence of the duality is that the dual BPS vortex models inherit the BPS property and the infinitely many symmetries (APDs) of the BPS baby Skyrme models. Finally, we demonstrate that the same topological duality continues to hold for the U(1) gauged versions of the models.

5.211313

4.663787

5.126135

4.539104

5.07394

4.699394

4.610454

4.589476

4.471361

5.713327

4.497485

4.549667

4.901454

4.698439

4.757928

4.696493

4.645278

4.756599

4.586101

4.82228

4.519919

2305.11209

Marco Meineri

Marco Meineri, Joao Penedones, Taro Spirig

Renormalization group flows in AdS and the bootstrap program

43+27 pages, 10 figures, a few typos removed, a couple of references added, matches published version

null

10.1007/JHEP07(2024)229

null

hep-th

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

We study correlation functions of the bulk stress tensor and boundary operators in Quantum Field Theories (QFT) in Anti-de Sitter (AdS) space. In particular, we derive new sum rules from the two-point function of the stress tensor and its three-point function with two boundary operators. In AdS2, this leads to a bootstrap setup that involves the central charge of the UV limit of the bulk QFT and may allow us to follow a Renormalization Group (RG) flow non-perturbatively by continuously varying the AdS radius. Along the way, we establish the convergence properties of the newly discovered local block decomposition of the three-point function.

[ { "created": "Thu, 18 May 2023 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 30 Jul 2024 09:03:24 GMT", "version": "v2" } ]

2024-07-31

[ [ "Meineri", "Marco", "" ], [ "Penedones", "Joao", "" ], [ "Spirig", "Taro", "" ] ]

We study correlation functions of the bulk stress tensor and boundary operators in Quantum Field Theories (QFT) in Anti-de Sitter (AdS) space. In particular, we derive new sum rules from the two-point function of the stress tensor and its three-point function with two boundary operators. In AdS2, this leads to a bootstrap setup that involves the central charge of the UV limit of the bulk QFT and may allow us to follow a Renormalization Group (RG) flow non-perturbatively by continuously varying the AdS radius. Along the way, we establish the convergence properties of the newly discovered local block decomposition of the three-point function.

9.282848

8.744303

9.832371

8.102418

8.702852

8.823021

8.796844

8.492617

7.886902

9.793569

8.3751

8.524469

9.046591

8.441791

8.550381

8.626245

8.191914

8.347882

8.399083

8.836035

8.289362

hep-th/0207235

Johannes Walcher

Alex Buchel, Peter Langfelder and Johannes Walcher

Does the Tachyon Matter?

15 pages, 1 figure, v2: refs added, v3: two more refs added

Annals Phys. 302 (2002) 78-87

10.1006/aphy.2002.6306

NSF-ITP-02-65, YITP-SB-02-38

hep-th

null

We study time-dependent solutions of Einstein-Maxwell gravity in four dimensions coupled to tachyon matter--the Dirac-Born-Infeld Lagrangian that provides an effective description of a decaying tachyon on an unstable D-brane in string theory. Asymptotically, the solutions are similar to the recently studied space-like brane solutions and carry S-brane charge. They do not break the Lorentzian R-symmetry. We study the tachyon matter as a probe in such a background and analyze its backreaction. For early/late times, the tachyon field has a constant energy density and vanishing pressure as in flat space. On the other hand, at intermediate times, the energy density of the tachyon diverges and produces a space-like curvature singularity.

[ { "created": "Thu, 25 Jul 2002 23:43:51 GMT", "version": "v1" }, { "created": "Tue, 13 Aug 2002 17:28:58 GMT", "version": "v2" }, { "created": "Wed, 14 Aug 2002 20:46:13 GMT", "version": "v3" } ]

2009-11-07

[ [ "Buchel", "Alex", "" ], [ "Langfelder", "Peter", "" ], [ "Walcher", "Johannes", "" ] ]

We study time-dependent solutions of Einstein-Maxwell gravity in four dimensions coupled to tachyon matter--the Dirac-Born-Infeld Lagrangian that provides an effective description of a decaying tachyon on an unstable D-brane in string theory. Asymptotically, the solutions are similar to the recently studied space-like brane solutions and carry S-brane charge. They do not break the Lorentzian R-symmetry. We study the tachyon matter as a probe in such a background and analyze its backreaction. For early/late times, the tachyon field has a constant energy density and vanishing pressure as in flat space. On the other hand, at intermediate times, the energy density of the tachyon diverges and produces a space-like curvature singularity.

7.649881

7.5139

7.955068

6.893321

7.457915

6.961782

7.020814

7.288079

7.240469

8.342999

7.288457

7.279643

7.601721

7.189111

6.927568

7.213849

7.130504

6.931327

7.268298

7.756551

7.085289

hep-th/0110117

Alan Coley

A. Coley

No Chaos in Brane-World Cosmology

Updated Refs. Final version to appear in Class. Quantum Grav

Class.Quant.Grav.19:L45-L56,2002

10.1088/0264-9381/19/8/102

null

hep-th gr-qc

null

We discuss the asymptotic dynamical evolution of spatially homogeneous brane-world cosmological models close to the initial singularity. We find that generically the cosmological singularity is isotropic in Bianchi type IX brane-world models and consequently these models do not exhibit Mixmaster or chaotic-like behaviour close to the initial singularity. We argue that this is typical of more general cosmological models in the brane-world scenario. In particular, we show that an isotropic singularity is a past-attractor in all orthogonal Bianchi models and is a local past-attractor in a class of inhomogeneous brane-world models.

[ { "created": "Fri, 12 Oct 2001 19:38:42 GMT", "version": "v1" }, { "created": "Fri, 15 Feb 2002 16:51:35 GMT", "version": "v2" } ]

2010-04-06

[ [ "Coley", "A.", "" ] ]

We discuss the asymptotic dynamical evolution of spatially homogeneous brane-world cosmological models close to the initial singularity. We find that generically the cosmological singularity is isotropic in Bianchi type IX brane-world models and consequently these models do not exhibit Mixmaster or chaotic-like behaviour close to the initial singularity. We argue that this is typical of more general cosmological models in the brane-world scenario. In particular, we show that an isotropic singularity is a past-attractor in all orthogonal Bianchi models and is a local past-attractor in a class of inhomogeneous brane-world models.

7.633899

7.42932

5.84951

6.00909

6.784515

6.133974

7.981604

5.90778

7.781813

6.312017

7.111307

7.235238

6.899668

6.902969

7.193575

7.116717

7.313948

6.941909

7.632025

7.015058

7.184213

hep-th/9310033

Ramy Brustein

R. Brustein, M. Faux and B. Ovrut

Effective d=2 supersymmetric Lagrangians from d=1 supermatrix models

59 pages. Contains 5 postscript figures included with epsf macro. Figures obtained upon request, preprint CERN-TH.7017/93

Nucl.Phys. B421 (1994) 293-342

10.1016/0550-3213(94)90330-1

null

hep-th

null

We discuss $d=1, {\cal N}=2$ supersymmetric matrix models and exhibit the associated $d=2$ collective field theory in the limit of dense eigenvalues. From this theory we construct, by the addition of several new fields, a $d=2$ supersymmetric effective field theory, which reduces to the collective field theory when the new fields are replaced with their vacuum expectation values. This effective theory is Poincare invariant and contains perturbative and non-perturbative information about the associated superstrings. We exhibit instanton solutions corresponding to the motion of single eigenvalues and discuss their possible role in supersymmetry breaking.

[ { "created": "Wed, 6 Oct 1993 19:51:07 GMT", "version": "v1" } ]

2009-10-22

[ [ "Brustein", "R.", "" ], [ "Faux", "M.", "" ], [ "Ovrut", "B.", "" ] ]

We discuss $d=1, {\cal N}=2$ supersymmetric matrix models and exhibit the associated $d=2$ collective field theory in the limit of dense eigenvalues. From this theory we construct, by the addition of several new fields, a $d=2$ supersymmetric effective field theory, which reduces to the collective field theory when the new fields are replaced with their vacuum expectation values. This effective theory is Poincare invariant and contains perturbative and non-perturbative information about the associated superstrings. We exhibit instanton solutions corresponding to the motion of single eigenvalues and discuss their possible role in supersymmetry breaking.

8.566987

6.436759

8.787567

7.492126

6.478925

6.105385

6.329961

7.017119

7.024666

10.21017

7.382814

7.718804

8.610436

7.982917

7.583118

7.282795

7.663056

7.854094

7.967709

8.503773

7.769659

0907.2677

Miloslav Znojil

Fundamental length in quantum theories with PT-symmetric Hamiltonians

31 pp, 3 figures

Phys.Rev.D80:045022,2009

10.1103/PhysRevD.80.045022

null

hep-th

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

The direct observability of coordinates x is often lost in PT-symmetric quantum theories. A manifestly non-local Hilbert-space metric $\Theta$ enters the double-integral normalization of wave functions $\psi(x)$ there. In the context of scattering, the (necessary) return to the asymptotically fully local metric has been shown feasible, for certain family of PT-symmetric toy Hamiltonians H at least, in paper I (M. Znojil, Phys. Rev. D 78 (2008) 025026). Now we show that in a confined-motion dynamical regime the same toy model proves also suitable for an explicit control of the measure or width $\theta$ of its non-locality. For this purpose each H is assigned here, constructively, the complete menu of its hermitizing metrics $\Theta=\Theta_\theta$ distinguished by their optional "fundamental lengths" $\theta\in (0,\infty)$. The local metric of paper I recurs at $\theta=0$ while the most popular CPT-symmetric hermitization proves long-ranged, with $\theta=\infty$.

[ { "created": "Wed, 15 Jul 2009 18:19:08 GMT", "version": "v1" } ]

2009-09-02

[ [ "Znojil", "Miloslav", "" ] ]

The direct observability of coordinates x is often lost in PT-symmetric quantum theories. A manifestly non-local Hilbert-space metric $\Theta$ enters the double-integral normalization of wave functions $\psi(x)$ there. In the context of scattering, the (necessary) return to the asymptotically fully local metric has been shown feasible, for certain family of PT-symmetric toy Hamiltonians H at least, in paper I (M. Znojil, Phys. Rev. D 78 (2008) 025026). Now we show that in a confined-motion dynamical regime the same toy model proves also suitable for an explicit control of the measure or width $\theta$ of its non-locality. For this purpose each H is assigned here, constructively, the complete menu of its hermitizing metrics $\Theta=\Theta_\theta$ distinguished by their optional "fundamental lengths" $\theta\in (0,\infty)$. The local metric of paper I recurs at $\theta=0$ while the most popular CPT-symmetric hermitization proves long-ranged, with $\theta=\infty$.

20.009338

24.399775

24.573093

21.286037

21.748619

23.814486

24.437126

22.011423

21.338058

24.994041

23.415129

21.112793

20.293192

19.268051

20.666006

20.710999

21.363857

19.783213

20.031239

20.741201

20.120697

1909.10916

Kazuo Fujikawa

Shinichi Deguchi, Kazuo Fujikawa

A new magnetic monopole inspired by Berry's phase

17 pages, 3 figures. The presentation has been subtantially modified by creating a new subsection and reducing the number of figures, by concentrating more on the monopole aspect then on Berry's phase. The present version is going to be published in Phys. Lett. B. arXiv admin note: text overlap with arXiv:1905.00698

null

10.1016/j.physletb.2020.135210

RIKEN-iTHEMS-Report-19

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

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

A new static and azimuthally symmetric magnetic monopolelike object, which looks like a Dirac monopole when seen from far away but smoothly changes to a dipole near the monopole position and vanishes at the origin, is discussed. This monopolelike object is inspired by an analysis of an exactly solvable model of Berry's phase in the parameter space. A salient feature of the monopolelike potential ${\cal A}_{k}(r,\theta)$ with a magnetic charge $e_{M}$ is that the Dirac string is naturally described by the potential ${\cal A}_{k}(r,\theta)$, and the origin of the Dirac string and the geometrical center of the monopole are displaced in the coordinate space. The smooth topology change from a monopole to a dipole takes place if the Dirac string, when coupled to the electron, becomes unobservable by satisfying the Dirac quantization condition. The electric charge is then quantized even if the monopole changes to a dipole near the origin. In the transitional region from a monopole to a dipole, a half-monopole with a magnetic charge $e_{M}/2$ appears.

[ { "created": "Mon, 23 Sep 2019 08:50:58 GMT", "version": "v1" }, { "created": "Thu, 9 Jan 2020 08:12:07 GMT", "version": "v2" } ]

2020-03-18

[ [ "Deguchi", "Shinichi", "" ], [ "Fujikawa", "Kazuo", "" ] ]

A new static and azimuthally symmetric magnetic monopolelike object, which looks like a Dirac monopole when seen from far away but smoothly changes to a dipole near the monopole position and vanishes at the origin, is discussed. This monopolelike object is inspired by an analysis of an exactly solvable model of Berry's phase in the parameter space. A salient feature of the monopolelike potential ${\cal A}_{k}(r,\theta)$ with a magnetic charge $e_{M}$ is that the Dirac string is naturally described by the potential ${\cal A}_{k}(r,\theta)$, and the origin of the Dirac string and the geometrical center of the monopole are displaced in the coordinate space. The smooth topology change from a monopole to a dipole takes place if the Dirac string, when coupled to the electron, becomes unobservable by satisfying the Dirac quantization condition. The electric charge is then quantized even if the monopole changes to a dipole near the origin. In the transitional region from a monopole to a dipole, a half-monopole with a magnetic charge $e_{M}/2$ appears.

7.196941

7.417962

7.422307

6.750477

7.209325

7.293396

7.2387

6.731453

6.984863

7.662694

6.646397

6.764811

6.978367

6.773585

6.649599

6.685587

6.990854

6.797078

6.60543

7.058876

6.693453

1412.5181

Konstantinos Siampos

Konstantinos Sfetsos, Konstantinos Siampos

The anisotropic \lambda-deformed SU(2) model is integrable

1+17 pages, Latex, v2: few minor changes, PLB version, v3: Correcting an erroneous mistake on the diagonalizability of the coupling matrix, v4: We corrected the multiplicative factor in 2.16

J. Phys. Lett. B 743 (2015) 160-165

10.1016/j.physletb.2015.02.040

null

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

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

The all-loop anisotropic Thirring model interpolates between the WZW model and the non-Abelian T-dual of the anisotropic principal chiral model. We focus on the SU(2) case and we prove that it is classically integrable by providing its Lax pair formulation. We derive its underlying symmetry current algebra and use it to show that the Poisson brackets of the spatial part of the Lax pair, assume the Maillet form. In this way we procure the corresponding r and s matrices which provide non-trivial solutions to the modified Yang-Baxter equation.

[ { "created": "Tue, 16 Dec 2014 21:00:13 GMT", "version": "v1" }, { "created": "Tue, 24 Feb 2015 16:16:17 GMT", "version": "v2" }, { "created": "Fri, 19 Jun 2015 09:27:36 GMT", "version": "v3" }, { "created": "Tue, 20 Feb 2018 06:55:32 GMT", "version": "v4" } ]

2018-02-21

[ [ "Sfetsos", "Konstantinos", "" ], [ "Siampos", "Konstantinos", "" ] ]

The all-loop anisotropic Thirring model interpolates between the WZW model and the non-Abelian T-dual of the anisotropic principal chiral model. We focus on the SU(2) case and we prove that it is classically integrable by providing its Lax pair formulation. We derive its underlying symmetry current algebra and use it to show that the Poisson brackets of the spatial part of the Lax pair, assume the Maillet form. In this way we procure the corresponding r and s matrices which provide non-trivial solutions to the modified Yang-Baxter equation.

8.618967

7.405755

10.861097

7.638819

8.726412

7.883977

8.094983

7.950573

7.817503

10.641422

8.119375

8.193671

9.033888

7.988523

8.604387

8.343797

8.392513

7.942502

8.267513

9.380549

8.1235

hep-th/0104251

Chengbo Guan

Z. Chang (1), C.B. Guan (1), H.Y. Guo (2) ((1) IHEP, Academia Sinica, (2) ITP, Academia Sinica)

AdS Dynamics for Massive Scalar Field: exact solutions vs. bulk-boundary propagator

LaTeX, 18 pages, 3 eps figures

Int.J.Mod.Phys. A18 (2003) 1657-1670

10.1142/S0217751X03013739

null

hep-th

null

AdS dynamics for massive scalar field is studied both by solving exactly the equation of motion and by constructing bulk-boundary propagator. A Robertson-Walker-like metric is deduced from the familiar SO(2,n) invariant metric. The metric allows us to present a time-like Killing vector, which is not only invariant under space-like transformations but also invariant under the isometric transformations of SO(2,n) in certain sense. A horizon appears in this coordinate system. Singularities of field variables at boundary are demonstrated explicitly. It is shown that there is a one-to-one correspondence among the exact solutions and the bulk fields obtained by using the bulk-boundary propagator.

[ { "created": "Sun, 29 Apr 2001 07:26:07 GMT", "version": "v1" } ]

2009-11-07

[ [ "Chang", "Z.", "" ], [ "Guan", "C. B.", "" ], [ "Guo", "H. Y.", "" ] ]

AdS dynamics for massive scalar field is studied both by solving exactly the equation of motion and by constructing bulk-boundary propagator. A Robertson-Walker-like metric is deduced from the familiar SO(2,n) invariant metric. The metric allows us to present a time-like Killing vector, which is not only invariant under space-like transformations but also invariant under the isometric transformations of SO(2,n) in certain sense. A horizon appears in this coordinate system. Singularities of field variables at boundary are demonstrated explicitly. It is shown that there is a one-to-one correspondence among the exact solutions and the bulk fields obtained by using the bulk-boundary propagator.

13.149643

12.597373

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13.076082

13.242846

13.302588

12.736122

13.013263

12.490623

13.281738

12.46078

11.666687

11.674829

11.573909

11.858191

12.320536

11.844284

11.436163

11.746481

11.827459

11.876087

hep-th/0308035

Kimball A. Milton

Anomalies in PT-Symmetric Quantum Field Theory

7 pages, uses czjphys.cls, to appear in proceedings of Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics

Czech.J.Phys. 54 (2004) 85-91

10.1023/B:CJOP.0000014372.21537.c0

null

hep-th quant-ph

null

It is shown that a version of PT-symmetric electrodynamics based on an axial-vector current coupling massless fermions to the photon possesses anomalies and so is rendered nonrenormalizable. An alternative theory is proposed based on the conventional vector current constructed from massive Dirac fields, but in which the PT transformation properties of electromagnetic fields are reversed. Such a theory seems to possess many attractive features.

[ { "created": "Tue, 5 Aug 2003 18:09:49 GMT", "version": "v1" } ]

2009-11-10

[ [ "Milton", "Kimball A.", "" ] ]

It is shown that a version of PT-symmetric electrodynamics based on an axial-vector current coupling massless fermions to the photon possesses anomalies and so is rendered nonrenormalizable. An alternative theory is proposed based on the conventional vector current constructed from massive Dirac fields, but in which the PT transformation properties of electromagnetic fields are reversed. Such a theory seems to possess many attractive features.

17.538177

17.578005

13.993585

15.170926

16.602049

16.33993

16.610151

15.381874

15.936383

16.796312

15.186897

15.023458

15.444559

15.803313

16.296692

15.199738

15.743882

15.731478

15.353447

16.399651

15.494117

hep-th/0208158

null

N. Alonso-Alberca, E. Lozano-Tellechea and T. Ortin

Geometric Construction of Killing Spinors and Supersymmetry Algebras in Homogeneous Spacetimes

misprints corrected and references added. Version to appear in Classical and Quantum Gravity

Class.Quant.Grav. 19 (2002) 6009-6024

10.1088/0264-9381/19/23/309

IFT-UAM/CSIC-02-35

hep-th gr-qc

null

We show how the Killing spinors of some maximally supersymmetric supergravity solutions whose metrics describe symmetric spacetimes (including $AdS,AdS\times S$ and H$pp$-waves) can be easily constructed using purely geometrical and group-theoretical methods. The calculation of the supersymmetry algebras is extremely simple in this formalism.

[ { "created": "Wed, 21 Aug 2002 19:25:52 GMT", "version": "v1" }, { "created": "Tue, 12 Nov 2002 18:07:22 GMT", "version": "v2" } ]

2009-11-07

[ [ "Alonso-Alberca", "N.", "" ], [ "Lozano-Tellechea", "E.", "" ], [ "Ortin", "T.", "" ] ]

We show how the Killing spinors of some maximally supersymmetric supergravity solutions whose metrics describe symmetric spacetimes (including $AdS,AdS\times S$ and H$pp$-waves) can be easily constructed using purely geometrical and group-theoretical methods. The calculation of the supersymmetry algebras is extremely simple in this formalism.

11.561598

11.657011

12.242623

10.405408

11.975172

11.042619

10.208936

10.660397

10.503944

13.283278

9.783764

10.623295

11.535747

10.815735

10.962921

10.629796

10.739199

10.373539

10.744925

10.548453

10.211229

hep-th/9705087

V. P. Nair

Dimitra Karabali, Chanju Kim, V.P. Nair

Planar Yang-Mills theory: Hamiltonian, regulators and mass gap

41 pages, Plain TeX, discussion added, typos corrected

Nucl.Phys.B524:661-694,1998

10.1016/S0550-3213(98)00309-5

CCNY-HEP 97/5, RU-97-3-B, SNUTP 97-054

hep-th

null

We carry out the Hamiltonian analysis of non-Abelian gauge theories in (2+1) dimensions in a gauge-invariant matrix parametrization of the fields. A detailed discussion of regularization issues and the construction of the renormalized Laplace operator on the configuration space, which is proportional to the kinetic energy, are given. The origin of the mass gap is analyzed and the lowest eigenstates of the kinetic energy are explicitly obtained; these have zero charge and exhibit a mass gap . The nature of the corrections due to the potential energy, the possibility of an improved perturbation theory and a Schrodinger-like equation for the states are also discussed.

[ { "created": "Tue, 13 May 1997 16:05:07 GMT", "version": "v1" }, { "created": "Fri, 24 Apr 1998 14:50:58 GMT", "version": "v2" } ]

2008-11-26

[ [ "Karabali", "Dimitra", "" ], [ "Kim", "Chanju", "" ], [ "Nair", "V. P.", "" ] ]

We carry out the Hamiltonian analysis of non-Abelian gauge theories in (2+1) dimensions in a gauge-invariant matrix parametrization of the fields. A detailed discussion of regularization issues and the construction of the renormalized Laplace operator on the configuration space, which is proportional to the kinetic energy, are given. The origin of the mass gap is analyzed and the lowest eigenstates of the kinetic energy are explicitly obtained; these have zero charge and exhibit a mass gap . The nature of the corrections due to the potential energy, the possibility of an improved perturbation theory and a Schrodinger-like equation for the states are also discussed.

12.00269

10.808857

12.062861

10.970949

10.729683

11.475368

11.305484

10.461906

9.703387

11.524536

10.32899

10.340508

11.129593

10.527504

10.780393

10.352318

10.164495

10.682143

10.531837

11.151995

10.225891

hep-th/0411121

Robert McNees

Joshua L. Davis, Robert McNees

Boundary Counterterms and the Thermodynamics of 2-D Black Holes

27 pages, uses utarticle.cls; corrected typos and added references

JHEP0509:072,2005

10.1088/1126-6708/2005/09/072

MCTP-04-65

hep-th gr-qc

null

We utilize a novel method to study the thermodynamics of two dimensional type 0A black holes with constant RR flux. Our approach is based on the Hamilton-Jacobi method of deriving boundary counterterms. We demonstrate this approach by recovering the standard results for a well understood example, Witten's black hole. Between this example and the 0A black hole we find universal expressions for the entropy and black hole mass, as well as the infra-red divergence of the partition function. As a non-trivial check of our results we verify the first law of thermodynamics for these systems. Our results for the mass disagree with the predictions of a proposed matrix model dual of the 0A black hole.

[ { "created": "Thu, 11 Nov 2004 20:39:00 GMT", "version": "v1" }, { "created": "Wed, 6 Jul 2005 15:01:12 GMT", "version": "v2" } ]

2009-11-10

[ [ "Davis", "Joshua L.", "" ], [ "McNees", "Robert", "" ] ]

We utilize a novel method to study the thermodynamics of two dimensional type 0A black holes with constant RR flux. Our approach is based on the Hamilton-Jacobi method of deriving boundary counterterms. We demonstrate this approach by recovering the standard results for a well understood example, Witten's black hole. Between this example and the 0A black hole we find universal expressions for the entropy and black hole mass, as well as the infra-red divergence of the partition function. As a non-trivial check of our results we verify the first law of thermodynamics for these systems. Our results for the mass disagree with the predictions of a proposed matrix model dual of the 0A black hole.

10.113064

9.041746

10.522875

8.671502

8.837495

8.72756

8.611501

8.947232

9.227635

10.631199

8.677299

9.182196

9.856931

8.839556

9.134148

9.221178

9.410659

9.052186

9.207642

10.10003

9.141047

hep-th/0005216

Dragovich

G.S.Djordjevic, B.Dragovich and LJ. Nesic

p-Adic and Adelic Free Relativistic Particle

9 pages

Mod.Phys.Lett. A14 (1999) 317-325

10.1142/S0217732399000365

null

hep-th math-ph math.MP

null

We consider spectral problem for a free relativistic particle in p-adic and adelic quantum mechanics. In particular, we found p-adic and adelic eigenfunctions. Within adelic approach there exist quantum states that exhibit discrete structure of spacetime at the Planck scale.

[ { "created": "Wed, 24 May 2000 09:04:14 GMT", "version": "v1" } ]

2009-10-31

[ [ "Djordjevic", "G. S.", "" ], [ "Dragovich", "B.", "" ], [ "Nesic", "LJ.", "" ] ]

We consider spectral problem for a free relativistic particle in p-adic and adelic quantum mechanics. In particular, we found p-adic and adelic eigenfunctions. Within adelic approach there exist quantum states that exhibit discrete structure of spacetime at the Planck scale.

14.455099

11.541615

12.182616

9.89676

11.36962

11.940458

11.786053

9.754817

10.505139

14.190874

11.027402

12.337329

12.053699

10.587423

11.501835

11.417003

11.365656

11.699977

10.804621

12.888504

11.726457

hep-th/0312080

Katsusada Morita

A New Gauge-Invariant Regularization Scheme Based on Lorentz-Invariant Noncommutative Quantum Field Theory

27 pages, platex

Prog.Theor.Phys. 111 (2004) 881-905

10.1143/PTP.111.881

null

hep-th

null

The IR/UV mixing in the non-commutative (NC) field theory is investigated in Carlson-Carone-Zobin (CCZ) formalism of Lorentz-invariant NC field theory provided that the fields are `independent' of the `internal' coordinates $\theta^{\mu\nu}$. A new regularization scheme called NC regularizatioon is then proposed, which removes the Lorentz-invariant IR singularity from the theory. It requires the usual UV limit $\Lambda\to \infty$ to be accompanied with the commutative limit $a\to 0$ with $\Lambda^2a^2$ fixed, where $a$ is the length parameter in the theory. The new UV limit gives the usual renormalized amplitude of the one-loop self-energy diagram of $\phi^3$ model. It is shown that the new regularization is gauge-invariant, that is, the non-transverse part of the vacuum polarization in QED is automatically transverse in Lorentz-invariant NCQED but the two transverse pieces, one of which is already transverse in QED, possesses Lorentz-invariant IR singularity which should be `subtracted off' at zero external momentum squared. The subtraction leads to the same result as the renormalized one by Pauli-Villars or dimensional regularizations. Other diagrams with three-point vertices which contribute to the photon self-energy in Lorentz-non-invariant NCQED all vanish due to Lorentz invariance under the assumption adopted, while the tadpole diagram gives a finite contribution to the charge renormalization which vanishes if $ Lambda^2a^2\to 0$. Lorentz-invariant NC $\phi^4$ and scalar Yukawa models are also discussed in the one-loop approximation. A comment is made that Lorentz-invariance might lead to a decoupling of U(1) part from SU(N) in NC U(N) gauge theory.

[ { "created": "Mon, 8 Dec 2003 09:02:45 GMT", "version": "v1" }, { "created": "Tue, 20 Jan 2004 06:57:02 GMT", "version": "v2" } ]

2009-11-10

[ [ "Morita", "Katsusada", "" ] ]

The IR/UV mixing in the non-commutative (NC) field theory is investigated in Carlson-Carone-Zobin (CCZ) formalism of Lorentz-invariant NC field theory provided that the fields are `independent' of the `internal' coordinates $\theta^{\mu\nu}$. A new regularization scheme called NC regularizatioon is then proposed, which removes the Lorentz-invariant IR singularity from the theory. It requires the usual UV limit $\Lambda\to \infty$ to be accompanied with the commutative limit $a\to 0$ with $\Lambda^2a^2$ fixed, where $a$ is the length parameter in the theory. The new UV limit gives the usual renormalized amplitude of the one-loop self-energy diagram of $\phi^3$ model. It is shown that the new regularization is gauge-invariant, that is, the non-transverse part of the vacuum polarization in QED is automatically transverse in Lorentz-invariant NCQED but the two transverse pieces, one of which is already transverse in QED, possesses Lorentz-invariant IR singularity which should be `subtracted off' at zero external momentum squared. The subtraction leads to the same result as the renormalized one by Pauli-Villars or dimensional regularizations. Other diagrams with three-point vertices which contribute to the photon self-energy in Lorentz-non-invariant NCQED all vanish due to Lorentz invariance under the assumption adopted, while the tadpole diagram gives a finite contribution to the charge renormalization which vanishes if $ Lambda^2a^2\to 0$. Lorentz-invariant NC $\phi^4$ and scalar Yukawa models are also discussed in the one-loop approximation. A comment is made that Lorentz-invariance might lead to a decoupling of U(1) part from SU(N) in NC U(N) gauge theory.

7.918059

8.009336

8.308918

7.514019

8.609253

7.771278

8.165354

7.995439

7.728811

8.842605

7.518468

7.811404

7.705775

7.599032

7.487569

7.760715

7.534834

7.712344

7.645846

7.857594

7.603943

2302.13371

Shi Cheng

Shi Cheng, Piotr Su{\l}kowski

3d $\mathcal{N}=2$ theories and plumbing graphs: adding matter, gauging, and new dualities

66 pages, many figures

null

10.1007/JHEP08(2023)136

null

hep-th

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

Recently, a large class of 3d $\mathcal{N} = 2$ gauge theories with mixed Chern-Simons levels, corresponding to plumbing 3-manifolds, has been identified. In this paper we generalize these theories by including in their content chiral multiples, and analyze their properties. We find that the content of such theories can be encoded in graphs, which generalize plumbing graphs, and various operations in these theories can be represented in terms of transformations of such graphs. The operations in question include gauging global symmetries, integrating out gauge nodes, which for theories without chiral multiplets corresponds to Kirby moves, and ST-transformations that involve chiral multiplets. The dualities such as mirror triality and SQED-XYZ duality can be also represented in terms of graphs, and enable us to find many new dual theories by gauging global symmetries. In particular, we find that gauged SQED-XYZ duality leads to other dualities, which take the same form as operations of linking and unlinking discussed in the context of knots-quivers correspondence. We also find that the superpotential can be encoded in an interesting class of triangle graphs that satisfy certain consistency conditions, we discuss decoupling and Higgsing of chiral multiplets, as well as interpretation of various phenomena in terms of brane webs.

[ { "created": "Sun, 26 Feb 2023 18:11:58 GMT", "version": "v1" }, { "created": "Wed, 2 Aug 2023 06:52:05 GMT", "version": "v2" } ]

2023-08-25

[ [ "Cheng", "Shi", "" ], [ "Sułkowski", "Piotr", "" ] ]

Recently, a large class of 3d $\mathcal{N} = 2$ gauge theories with mixed Chern-Simons levels, corresponding to plumbing 3-manifolds, has been identified. In this paper we generalize these theories by including in their content chiral multiples, and analyze their properties. We find that the content of such theories can be encoded in graphs, which generalize plumbing graphs, and various operations in these theories can be represented in terms of transformations of such graphs. The operations in question include gauging global symmetries, integrating out gauge nodes, which for theories without chiral multiplets corresponds to Kirby moves, and ST-transformations that involve chiral multiplets. The dualities such as mirror triality and SQED-XYZ duality can be also represented in terms of graphs, and enable us to find many new dual theories by gauging global symmetries. In particular, we find that gauged SQED-XYZ duality leads to other dualities, which take the same form as operations of linking and unlinking discussed in the context of knots-quivers correspondence. We also find that the superpotential can be encoded in an interesting class of triangle graphs that satisfy certain consistency conditions, we discuss decoupling and Higgsing of chiral multiplets, as well as interpretation of various phenomena in terms of brane webs.

9.530803

9.170559

10.662481

8.585955

9.626166

9.18911

9.474363

8.807704

8.91592

11.846518

8.758318

8.809785

9.636011

8.71467

9.067085

8.916012

8.895616

8.65344

8.817358

9.564156

8.642938

2211.13667

Jose Ramon Espinosa

J.R. Espinosa and J.-F. Fortin

Vacuum Decay Actions from Tunneling Potentials for General Spacetime Dimension

17 pages plus appendices

null

10.1088/1475-7516/2023/02/023

null

hep-th gr-qc

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

The tunneling potential method to calculate the action for vacuum decay is an alternative to the Euclidean bounce method that has a number of attractive features. In this paper we extend the formalism to general spacetime dimension $d>2$ and use it to give simple proofs of several results. For Minkowski or Anti de Sitter false vacua, we show that gravity or higher barriers increase vacuum lifetime and describe a very clean picture of gravitational quenching of vacuum decay. We also derive the thin-wall limit of the action, show how detailed balance for dS to dS transitions works in the new formalism and how to obtain potentials for which the vacuum decay solution can be obtained analytically.

[ { "created": "Thu, 24 Nov 2022 15:34:11 GMT", "version": "v1" } ]

2023-02-22

[ [ "Espinosa", "J. R.", "" ], [ "Fortin", "J. -F.", "" ] ]

The tunneling potential method to calculate the action for vacuum decay is an alternative to the Euclidean bounce method that has a number of attractive features. In this paper we extend the formalism to general spacetime dimension $d>2$ and use it to give simple proofs of several results. For Minkowski or Anti de Sitter false vacua, we show that gravity or higher barriers increase vacuum lifetime and describe a very clean picture of gravitational quenching of vacuum decay. We also derive the thin-wall limit of the action, show how detailed balance for dS to dS transitions works in the new formalism and how to obtain potentials for which the vacuum decay solution can be obtained analytically.

13.671453

11.353771

13.271461

11.713531

12.008181

11.664064

12.079571

11.483992

12.088626

14.105579

11.798105

12.675089

12.793474

12.307911

13.176906

12.799253

12.642011

12.383508

12.257359

13.304547

12.39009

1706.05061

Antony Speranza

Antony J. Speranza

Local phase space and edge modes for diffeomorphism-invariant theories

29+12 pages, references added and minor typos fixed

null

10.1007/JHEP02(2018)021

null

hep-th gr-qc

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

We discuss an approach to characterizing local degrees of freedom of a subregion in diffeomorphism-invariant theories using the extended phase space of Donnelly and Freidel, [JHEP 2016 (2016) 102]. Such a characterization is important for defining local observables and entanglement entropy in gravitational theories. Traditional phase space constructions for subregions are not invariant with respect to diffeomorphisms that act at the boundary. The extended phase space remedies this problem by introducing edge mode fields at the boundary whose transformations under diffeomorphisms render the extended symplectic structure fully gauge invariant. In this work, we present a general construction for the edge mode symplectic structure. We show that the new fields satisfy a surface symmetry algebra generated by the Noether charges associated with the edge mode fields. For surface-preserving symmetries, the algebra is universal for all diffeomorphism-invariant theories, comprised of diffeomorphisms of the boundary, $SL(2,\mathbb{R})$ transformations of the normal plane, and, in some cases, normal shearing transformations. We also show that if boundary conditions are chosen such that surface translations are symmetries, the algebra acquires a central extension.

[ { "created": "Thu, 15 Jun 2017 19:59:53 GMT", "version": "v1" }, { "created": "Tue, 18 Jul 2017 15:12:50 GMT", "version": "v2" } ]

2018-02-09

[ [ "Speranza", "Antony J.", "" ] ]

We discuss an approach to characterizing local degrees of freedom of a subregion in diffeomorphism-invariant theories using the extended phase space of Donnelly and Freidel, [JHEP 2016 (2016) 102]. Such a characterization is important for defining local observables and entanglement entropy in gravitational theories. Traditional phase space constructions for subregions are not invariant with respect to diffeomorphisms that act at the boundary. The extended phase space remedies this problem by introducing edge mode fields at the boundary whose transformations under diffeomorphisms render the extended symplectic structure fully gauge invariant. In this work, we present a general construction for the edge mode symplectic structure. We show that the new fields satisfy a surface symmetry algebra generated by the Noether charges associated with the edge mode fields. For surface-preserving symmetries, the algebra is universal for all diffeomorphism-invariant theories, comprised of diffeomorphisms of the boundary, $SL(2,\mathbb{R})$ transformations of the normal plane, and, in some cases, normal shearing transformations. We also show that if boundary conditions are chosen such that surface translations are symmetries, the algebra acquires a central extension.

7.179054

7.389667

7.22626

7.011455

7.264117

7.307209

7.158771

6.889306

7.118316

7.668546

7.092224

7.021997

7.124217

6.884121

7.080037

7.067468

7.257131

7.048278

7.117354

7.093881

7.030789

1504.04176

Andelka Andrasi

A. Andrasi, J. C. Taylor

Finiteness of the Coulomb gauge QCD perturbative effective action

Accepted in Annals of Physics

Annals of Physics, 356 (2015) 352-368

10.1016/j.aop.2015.03.014

null

hep-th

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

At 2-loop order in the Coulomb gauge, individual Feynman graphs contributing to the effective action have energy divergences. It is proved that these cancel in suitable combinations of graphs. This has previously been shown only for transverse external fields. The calculation results in a generalization of the Christ-Lee term which was inserted into the Hamiltonian.

[ { "created": "Thu, 16 Apr 2015 10:33:39 GMT", "version": "v1" } ]

2015-08-14

[ [ "Andrasi", "A.", "" ], [ "Taylor", "J. C.", "" ] ]

At 2-loop order in the Coulomb gauge, individual Feynman graphs contributing to the effective action have energy divergences. It is proved that these cancel in suitable combinations of graphs. This has previously been shown only for transverse external fields. The calculation results in a generalization of the Christ-Lee term which was inserted into the Hamiltonian.

14.085893

12.057085

15.322348

12.732724

14.221456

13.328508

12.472298

11.841519

12.070027

14.977951

12.32293

11.881633

13.486081

12.526607

11.660417

11.377153

11.709099

11.332873

11.919627

13.571874

12.229473

2304.00679

Josh Kirklin

Probes, purviews, purgatories, parable, paradox?

12 pages, 5 figures. Essay written for the Gravity Research Foundation 2023 Awards for Essays on Gravitation

null

hep-th gr-qc

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

I discuss some general information-theoretic properties of quantum mechanical probes in semiclassical gravity: their purview, i.e. what they can see and act on (in terms of a generalised entanglement wedge), their spontaneous evaporation into a cloud of highly entropic particles when one tries to make them see too much (perhaps a parable on the dangers of straining one's eyes), and the subsequent resolution of an apparent information paradox.

[ { "created": "Mon, 3 Apr 2023 01:45:20 GMT", "version": "v1" }, { "created": "Thu, 13 Apr 2023 08:51:33 GMT", "version": "v2" } ]

2023-04-14

[ [ "Kirklin", "Josh", "" ] ]

I discuss some general information-theoretic properties of quantum mechanical probes in semiclassical gravity: their purview, i.e. what they can see and act on (in terms of a generalised entanglement wedge), their spontaneous evaporation into a cloud of highly entropic particles when one tries to make them see too much (perhaps a parable on the dangers of straining one's eyes), and the subsequent resolution of an apparent information paradox.

26.738876

24.501617

25.835278

23.36656

23.110622

24.683784

27.386286

24.265049

23.433855

29.479115

21.936108

23.419958

23.569351

24.72447

23.67679

24.323692

22.712605

23.870687

23.75193

24.481384

23.426334

hep-th/9602139

Steven Brumby

S. P. Brumby, R. Foot, and R. R. Volkas

Quaternionic Formulation of the Exact Parity Model

30 pages, standard LaTeX, submitted to Phys. Rev. D

null

University of Melbourne UM-P-96/11 RCHEP 96/01

hep-th hep-ph

null

The exact parity model (EPM) is a simple extension of the Standard Model which reinstates parity invariance as an unbroken symmetry of nature. The mirror matter sector of the model can interact with ordinary matter through gauge boson mixing, Higgs boson mixing and, if neutrinos are massive, through neutrino mixing. The last effect has experimental support through the observed solar and atmospheric neutrino anomalies. In this paper we show that the exact parity model can be formulated in a quaternionic framework. This suggests that the idea of mirror matter and exact parity may have profound implications for the mathematical formulation of quantum theory.

[ { "created": "Tue, 27 Feb 1996 06:32:21 GMT", "version": "v1" } ]

2007-05-23

[ [ "Brumby", "S. P.", "" ], [ "Foot", "R.", "" ], [ "Volkas", "R. R.", "" ] ]

The exact parity model (EPM) is a simple extension of the Standard Model which reinstates parity invariance as an unbroken symmetry of nature. The mirror matter sector of the model can interact with ordinary matter through gauge boson mixing, Higgs boson mixing and, if neutrinos are massive, through neutrino mixing. The last effect has experimental support through the observed solar and atmospheric neutrino anomalies. In this paper we show that the exact parity model can be formulated in a quaternionic framework. This suggests that the idea of mirror matter and exact parity may have profound implications for the mathematical formulation of quantum theory.

7.246683

7.809186

6.509264

7.155705

7.924689

7.845285

6.754838

7.281076

6.948485

7.072677

7.793223

7.083447

7.221488

7.063433

7.135235

7.214383

7.440227

7.166625

7.081984

7.141047

6.661833

1110.4803

Sang-Woo Kim

Sang-Woo Kim, Jun Nishimura, Asato Tsuchiya

Expanding universe as a classical solution in the Lorentzian matrix model for nonperturbative superstring theory

4 pages, 2 figures

null

10.1103/PhysRevD.86.027901

KEK-TH-1503, OU-HET-729-2011

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

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

Recently we have shown by Monte Carlo simulation that expanding (3+1)-dimensional universe appears dynamically from a Lorentzian matrix model for type IIB superstring theory in (9+1)-dimensions. The mechanism for the spontaneous breaking of rotational symmetry relies crucially on the noncommutative nature of the space. Here we study the classical equations of motion as a complementary approach. In particular, we find a unique class of SO(3) symmetric solutions, which exhibits the time-dependence compatible with the expanding universe. The space-space noncommutativity is exactly zero, whereas the space-time noncommutativity becomes significant only towards the end of the expansion. We interpret the Monte Carlo results and the classical solution as describing the behavior of the model at earlier time and at later time, respectively.

[ { "created": "Fri, 21 Oct 2011 14:30:30 GMT", "version": "v1" } ]

2015-05-30

[ [ "Kim", "Sang-Woo", "" ], [ "Nishimura", "Jun", "" ], [ "Tsuchiya", "Asato", "" ] ]

Recently we have shown by Monte Carlo simulation that expanding (3+1)-dimensional universe appears dynamically from a Lorentzian matrix model for type IIB superstring theory in (9+1)-dimensions. The mechanism for the spontaneous breaking of rotational symmetry relies crucially on the noncommutative nature of the space. Here we study the classical equations of motion as a complementary approach. In particular, we find a unique class of SO(3) symmetric solutions, which exhibits the time-dependence compatible with the expanding universe. The space-space noncommutativity is exactly zero, whereas the space-time noncommutativity becomes significant only towards the end of the expansion. We interpret the Monte Carlo results and the classical solution as describing the behavior of the model at earlier time and at later time, respectively.

8.561278

7.434268

8.9819

7.55397

7.991805

7.956693

7.578202

7.199771

7.481114

9.297002

7.563125

8.089967

8.224121

7.842156

7.841173

7.833285

7.931894

7.931614

7.982702

8.437646

7.774732

1812.00026

Christian Saemann

Andreas Deser and Christian Saemann

Extended Riemannian Geometry III: Global Double Field Theory with Nilmanifolds

36 pages, typos fixed, references added, presentation improved and discussion added, published version

JHEP 05 (2019) 209

10.1007/JHEP05(2019)209

EMPG-18-24

hep-th math-ph math.MP

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

We describe the global geometry, symmetries and tensors for Double Field Theory over pairs of nilmanifolds with fluxes or gerbes. This is achieved by a rather straightforward application of a formalism we developed previously. This formalism constructs the analogue of a Courant algebroid over the correspondence space of a T-duality, using the language of graded manifolds, derived brackets and we use the description of nilmanifolds in terms of periodicity conditions rather than local patches. The strong section condition arises purely algebraically, and we show that for a particularly symmetric solution of this condition, we recover the Courant algebroids of both nilmanifolds with fluxes. We also discuss the finite, global symmetries of general local Double Field Theory and explain how this specializes to the case of T-duality between nilmanifolds.

[ { "created": "Fri, 30 Nov 2018 19:20:25 GMT", "version": "v1" }, { "created": "Tue, 18 Jun 2019 10:44:18 GMT", "version": "v2" } ]

2019-06-19

[ [ "Deser", "Andreas", "" ], [ "Saemann", "Christian", "" ] ]

We describe the global geometry, symmetries and tensors for Double Field Theory over pairs of nilmanifolds with fluxes or gerbes. This is achieved by a rather straightforward application of a formalism we developed previously. This formalism constructs the analogue of a Courant algebroid over the correspondence space of a T-duality, using the language of graded manifolds, derived brackets and we use the description of nilmanifolds in terms of periodicity conditions rather than local patches. The strong section condition arises purely algebraically, and we show that for a particularly symmetric solution of this condition, we recover the Courant algebroids of both nilmanifolds with fluxes. We also discuss the finite, global symmetries of general local Double Field Theory and explain how this specializes to the case of T-duality between nilmanifolds.

12.703206

11.133892

14.67761

12.252967

13.667323

12.831108

12.852773

12.919973

12.127429

15.972079

12.114036

12.800831

13.075428

12.569186

11.899802

12.111665

11.889003

12.040466

12.260947

12.998633

12.033443

2007.11538

Jean Felipe

L. C. T. Brito, J. C. C. Felipe, J. R. Nascimento, A. Yu Petrov and A. P. Ba\^eta Scarpelli

Higher-order one-loop renormalization in the spinor sector of minimal LV extended QED

14 pages, 2 figures

Phys. Rev. D 102, 075017 (2020)

10.1103/PhysRevD.102.075017

null

hep-th

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

We calculate contributions to the one-loop renormalization in the spinor sector of the minimal Lorentz-violating extended QED in the second order in Lorentz-breaking parameters. From the renormalizability viewpoint, we show that the inclusion of some of the Lorentz-breaking terms in the model is linked to the presence of others. We also demonstrate that the Ward identities are satisfied up to this order.

[ { "created": "Wed, 22 Jul 2020 16:58:15 GMT", "version": "v1" } ]

2020-10-19

[ [ "Brito", "L. C. T.", "" ], [ "Felipe", "J. C. C.", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu", "" ], [ "Scarpelli", "A. P. Baêta", "" ] ]

We calculate contributions to the one-loop renormalization in the spinor sector of the minimal Lorentz-violating extended QED in the second order in Lorentz-breaking parameters. From the renormalizability viewpoint, we show that the inclusion of some of the Lorentz-breaking terms in the model is linked to the presence of others. We also demonstrate that the Ward identities are satisfied up to this order.

8.7995

7.999438

8.57865

7.420739

6.870038

7.634067

6.034264

7.450394

7.394805

8.232074

7.185404

7.62843

8.02963

7.91236

7.655735

7.242333

7.491033

7.739196

7.568896

7.885945

7.38654

1906.07192

Toby Wiseman

Krai Cheamsawat, Gary Gibbons and Toby Wiseman

A new energy upper bound for AdS black holes inspired by free field theory

21 pages, 1 figure. v2: journal version, minor changes

null

10.1088/1361-6382/ab56f3

null

hep-th gr-qc

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

We consider the toroidally compactified planar AdS-Schwarzschild solution to 4-dimensional gravity with negative cosmological constant. This has a flat torus conformal boundary metric. We show that if the spatial part of the boundary metric is deformed, keeping it static and the temperature and area fixed, then assuming a static bulk solution exists, its energy is less than that of the AdS-Schwarzschild solution. The proof is non-perturbative in the metric deformation. While we expect the same holds for the free energy for black hole solutions we are so far are not able to prove it. In the context of AdS-CFT this implies a 3-dimensional holographic CFT on a flat spatial torus whose bulk dual is AdS-Schwarzschild has a greater energy than if the spatial geometry is deformed in any way that preserves temperature and area. This work was inspired by previous results in free field theory, where scalars and fermions in 3-dimensions have been shown to energetically disfavour flat space.

[ { "created": "Mon, 17 Jun 2019 18:00:03 GMT", "version": "v1" }, { "created": "Thu, 9 Jan 2020 15:44:12 GMT", "version": "v2" } ]

2020-01-10

[ [ "Cheamsawat", "Krai", "" ], [ "Gibbons", "Gary", "" ], [ "Wiseman", "Toby", "" ] ]

We consider the toroidally compactified planar AdS-Schwarzschild solution to 4-dimensional gravity with negative cosmological constant. This has a flat torus conformal boundary metric. We show that if the spatial part of the boundary metric is deformed, keeping it static and the temperature and area fixed, then assuming a static bulk solution exists, its energy is less than that of the AdS-Schwarzschild solution. The proof is non-perturbative in the metric deformation. While we expect the same holds for the free energy for black hole solutions we are so far are not able to prove it. In the context of AdS-CFT this implies a 3-dimensional holographic CFT on a flat spatial torus whose bulk dual is AdS-Schwarzschild has a greater energy than if the spatial geometry is deformed in any way that preserves temperature and area. This work was inspired by previous results in free field theory, where scalars and fermions in 3-dimensions have been shown to energetically disfavour flat space.

8.26583

7.71386

9.028208

7.786521

8.380277

7.778633

8.255994

7.755547

7.927062

9.942646

7.948032

7.720128

8.112735

7.926501

7.930716

7.777406

7.972278

7.852476

7.94042

7.989351

7.762173

2203.15449

Niccol\`o Cribiori

De Sitter, gravitino mass and the swampland

17 pages. Contribution to the proceedings for Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2021) 29 August - 9 October 2021 Corfu, Greece

null

hep-th

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

In this contribution, we review a general argument showing that de Sitter critical points of extended supergravity are in tension with the magnetic weak gravity conjecture if the gravitino mass is vanishing. Motivated by this assumption, we review then the gravitino conjecture, which states that the limit of vanishing gravitino mass is pathological for the effective field theory description. Finally, we discuss more in general the fate of de Sitter critical points (with massless gravitini) in supergravity and comment on extensions of these works along various directions. Part of the material here presented is unpublished.

[ { "created": "Tue, 29 Mar 2022 11:38:49 GMT", "version": "v1" } ]

2022-03-30

[ [ "Cribiori", "Niccolò", "" ] ]

In this contribution, we review a general argument showing that de Sitter critical points of extended supergravity are in tension with the magnetic weak gravity conjecture if the gravitino mass is vanishing. Motivated by this assumption, we review then the gravitino conjecture, which states that the limit of vanishing gravitino mass is pathological for the effective field theory description. Finally, we discuss more in general the fate of de Sitter critical points (with massless gravitini) in supergravity and comment on extensions of these works along various directions. Part of the material here presented is unpublished.

11.538772

9.783023

10.935178

9.505364

9.337758

9.639612

9.596579

9.597121

9.341083

11.347977

9.492178

9.884053

10.397627

9.862382

10.611835

10.070301

10.238776

9.733145

10.208866

10.449287

9.986417

hep-th/9207058

null

Sudhakar Panda and Shibaji Roy

Remarks on the Additional Symmetries and W-Constraints in the Generalized KdV Hierarchy

10 pages, Plain Tex

Phys.Lett. B296 (1992) 23-27

10.1016/0370-2693(92)90798-9

IC-92-145

hep-th

null

Additional symmetries of the $p$-reduced KP hierarchy are generated by the Lax operator $L$ and another operator $M$, satisfying $res (M^n L^{m+n/p})$ = 0 for $1 \leq n \leq p-1$ and $m \geq -1$ with the condition that ${\partial L \over {\partial t_{kp}}}$ = 0, $k$ = 1, 2,..... We show explicitly that the generators of these additional symmetries satisfy a closed and consistent W-algebra only when we impose the extra condition that ${\partial M \over {\partial t_{kp}}} = 0$.

[ { "created": "Thu, 16 Jul 1992 14:16:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Panda", "Sudhakar", "" ], [ "Roy", "Shibaji", "" ] ]

Additional symmetries of the $p$-reduced KP hierarchy are generated by the Lax operator $L$ and another operator $M$, satisfying $res (M^n L^{m+n/p})$ = 0 for $1 \leq n \leq p-1$ and $m \geq -1$ with the condition that ${\partial L \over {\partial t_{kp}}}$ = 0, $k$ = 1, 2,..... We show explicitly that the generators of these additional symmetries satisfy a closed and consistent W-algebra only when we impose the extra condition that ${\partial M \over {\partial t_{kp}}} = 0$.

6.628611

6.093791

7.619738

6.351796

6.757664

6.013527

6.24151

6.092616

6.242825

7.151693

6.107101

6.173497

6.746737

6.17581

6.6899

6.438354

6.153382

6.192962

6.530235

6.645598

6.193347

hep-th/9302132

Jisuke Kubo

T. Fujiwara, Y. Igarashi and J. Kubo

Unrecognizable Black Holes in Two Dimensions

14 pages, KANAZAWA-93-01

Phys.Lett. B316 (1993) 66-73

10.1016/0370-2693(93)90659-6

null

hep-th

null

The classical 2D cosmological model of Callan, Giddings, Harvey and Strominger possesses a global symmetry that is responsible for decoupling of matter fields. The model is quantized on the basis of the extended phase space method to allow an exhaustive, algebraic analysis to find potential anomalies. Under a certain set of reasonable assumptions we show that neither the BRST symmetry of the theory nor the global symmetry suffers from an anomaly. From this we conclude that there is nothing to recognize the existence of black hole and therefore nothing to radiate in their cosmological model.

[ { "created": "Fri, 26 Feb 1993 06:55:53 GMT", "version": "v1" } ]

2009-10-22

[ [ "Fujiwara", "T.", "" ], [ "Igarashi", "Y.", "" ], [ "Kubo", "J.", "" ] ]

The classical 2D cosmological model of Callan, Giddings, Harvey and Strominger possesses a global symmetry that is responsible for decoupling of matter fields. The model is quantized on the basis of the extended phase space method to allow an exhaustive, algebraic analysis to find potential anomalies. Under a certain set of reasonable assumptions we show that neither the BRST symmetry of the theory nor the global symmetry suffers from an anomaly. From this we conclude that there is nothing to recognize the existence of black hole and therefore nothing to radiate in their cosmological model.

16.314764

13.802587

14.995747

13.596297

13.268508

14.599916

14.467946

14.910504

13.364317

16.258862

14.044351

13.222204

15.010758

14.501544

14.362805

14.035973

14.47885

14.364739

14.329463

15.666332

13.908885

2101.00024

Georgios K. Karananas Dr.

Georgios K. Karananas, Alex Kehagias, John Taskas

Islands in Linear Dilaton Black Holes

Journal version---discussion extended, typos corrected, references added

J. High Energ. Phys. 2021, 253 (2021)

10.1007/JHEP03(2021)253

LMU-ASC 67/20

hep-th gr-qc

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

We derive a novel four-dimensional black hole with planar horizon that asymptotes to the linear dilaton background. The usual growth of its entanglement entropy before Page's time is established. After that, emergent islands modify to a large extent the entropy, which becomes finite and is saturated by its Bekenstein-Hawking value in accordance with the finiteness of the von Neumann entropy of eternal black holes. We demonstrate that viewed from the string frame, our solution is the two-dimensional Witten black hole with two additional free bosons. We generalize our findings by considering a general class of linear dilaton black hole solutions at a generic point along the $\sigma$-model renormalization group (RG) equations. For those, we observe that the entanglement entropy is "running" i.e. it is changing along the RG flow with respect to the two-dimensional worldsheet length scale. At any fixed moment before Page's time the aforementioned entropy increases towards the infrared (IR) domain, whereas the presence of islands leads the running entropy to decrease towards the IR at later times. Finally, we present a four-dimensional charged black hole that asymptotes to the linear dilaton background as well. We compute the associated entanglement entropy for the extremal case and we find that an island is needed in order for it to follow the Page curve.

[ { "created": "Thu, 31 Dec 2020 19:00:05 GMT", "version": "v1" }, { "created": "Sun, 28 Mar 2021 15:43:20 GMT", "version": "v2" } ]

2021-03-30

[ [ "Karananas", "Georgios K.", "" ], [ "Kehagias", "Alex", "" ], [ "Taskas", "John", "" ] ]

We derive a novel four-dimensional black hole with planar horizon that asymptotes to the linear dilaton background. The usual growth of its entanglement entropy before Page's time is established. After that, emergent islands modify to a large extent the entropy, which becomes finite and is saturated by its Bekenstein-Hawking value in accordance with the finiteness of the von Neumann entropy of eternal black holes. We demonstrate that viewed from the string frame, our solution is the two-dimensional Witten black hole with two additional free bosons. We generalize our findings by considering a general class of linear dilaton black hole solutions at a generic point along the $\sigma$-model renormalization group (RG) equations. For those, we observe that the entanglement entropy is "running" i.e. it is changing along the RG flow with respect to the two-dimensional worldsheet length scale. At any fixed moment before Page's time the aforementioned entropy increases towards the infrared (IR) domain, whereas the presence of islands leads the running entropy to decrease towards the IR at later times. Finally, we present a four-dimensional charged black hole that asymptotes to the linear dilaton background as well. We compute the associated entanglement entropy for the extremal case and we find that an island is needed in order for it to follow the Page curve.

10.291557

10.041744

10.564617

9.62178

10.66296

9.602786

9.678228

9.886134

9.467336

11.184384

9.453742

9.600888

9.998747

9.870912

9.622273

9.762795

9.999936

9.818954

9.851312

10.370264

9.704396

2012.09286

Paul K. Townsend

Igor Bandos, Kurt Lechner, Dmitri Sorokin and Paul K. Townsend

On p-form gauge theories and their conformal limits

46 pp. Minor corrections plus Note Added with additional references in v2

null

10.1007/JHEP03(2021)022

null

hep-th

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

Relations between the various formulations of nonlinear p-form electrodynamics with conformal-invariant weak-field and strong-field limits are clarified, with a focus on duality invariant (2n-1)-form electrodynamics and chiral 2n-form electrodynamics in Minkowski spacetime of dimension D=4n and D=4n+2, respectively. We exhibit a new family of chiral 2-form electrodynamics in D=6 for which these limits exhaust the possibilities for conformal invariance; the weak-field limit is related by dimensional reduction to the recently discovered ModMax generalisation of Maxwell's equations. For n>1 we show that the chiral `strong-field' 2n-form electrodynamics is related by dimensional reduction to a new Sl(2;R)-duality invariant theory of (2n-1)-form electrodynamics.

[ { "created": "Wed, 16 Dec 2020 21:59:41 GMT", "version": "v1" }, { "created": "Mon, 1 Mar 2021 13:09:55 GMT", "version": "v2" } ]

2021-03-17

[ [ "Bandos", "Igor", "" ], [ "Lechner", "Kurt", "" ], [ "Sorokin", "Dmitri", "" ], [ "Townsend", "Paul K.", "" ] ]

Relations between the various formulations of nonlinear p-form electrodynamics with conformal-invariant weak-field and strong-field limits are clarified, with a focus on duality invariant (2n-1)-form electrodynamics and chiral 2n-form electrodynamics in Minkowski spacetime of dimension D=4n and D=4n+2, respectively. We exhibit a new family of chiral 2-form electrodynamics in D=6 for which these limits exhaust the possibilities for conformal invariance; the weak-field limit is related by dimensional reduction to the recently discovered ModMax generalisation of Maxwell's equations. For n>1 we show that the chiral `strong-field' 2n-form electrodynamics is related by dimensional reduction to a new Sl(2;R)-duality invariant theory of (2n-1)-form electrodynamics.

7.15941

6.647122

7.231081

6.505936

6.92549

7.143982

6.971408

6.639

6.719861

7.722052

6.439329

7.158308

6.892025

6.599332

7.018835

7.03385

6.789932

6.751958

6.750733

7.071811

6.823921

hep-th/9802017

Francesco Sannino

N. Kitazawa and F. Sannino (Yale Univ.)

Higgs Lagrangian from Gauge Theories

4 pages, two-column RevTeX

null

YCTP-1-98

hep-th hep-ph

null

We explore a novel way of deriving the effective Higgs Lagrangian from strongly interacting vector-like gauge theories. We consider the N=1 supersymmetric extension of gauge theories and interpret the auxiliary field associated with the low energy effective "meson" superfield as the Higgs field. By introducing an explicit supersymmetry breaking term and computing the one-loop effective action at the effective theory level we show that the kinetic term for the Higgs field is generated, while the negative mass squared term is already present at the tree level. We further propose a scenario by which the complete Higgs potential can be generated and the fermion in the low energy effective theory acquires a mass.

[ { "created": "Tue, 3 Feb 1998 23:06:02 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kitazawa", "N.", "", "Yale Univ." ], [ "Sannino", "F.", "", "Yale Univ." ] ]

We explore a novel way of deriving the effective Higgs Lagrangian from strongly interacting vector-like gauge theories. We consider the N=1 supersymmetric extension of gauge theories and interpret the auxiliary field associated with the low energy effective "meson" superfield as the Higgs field. By introducing an explicit supersymmetry breaking term and computing the one-loop effective action at the effective theory level we show that the kinetic term for the Higgs field is generated, while the negative mass squared term is already present at the tree level. We further propose a scenario by which the complete Higgs potential can be generated and the fermion in the low energy effective theory acquires a mass.

8.008329

8.283966

7.902075

7.714314

7.854495

7.313713

7.720603

7.655111

7.787471

8.536036

7.317289

7.871829

8.220128

8.102538

8.179881

8.244456

7.93013

8.159953

8.016539

8.364697

7.731441

hep-th/9612152

Franco Ferrari

Topologically Nontrivial Sectors of the Maxwell Field Theory on Algebraic Curves

24 pages, latex file + 3 ps figures

J.Geom.Phys.25:91-103,1998

10.1016/S0393-0440(97)00023-5

preprint UTF 379, PAR-LPTHE 96-30

hep-th

null

In this paper the Maxwell field theory is considered on the $Z_n$ symmetric algebraic curves. As a first result, a large family of nondegenerate metrics is derived for general curves. This allows to treat many differential equations arising in quantum mechanics and field theory on Riemann surfaces as differential equations on the complex sphere. The examples of the scalar fields and of an electron immersed in a constant magnetic field will be briefly investigated. Finally, the case of the Maxwell equations on curves with $Z_n$ group of automorphisms is studied in details. These curves are particularly important because they cover the entire moduli space spanned by the Riemann surfaces of genus $g\le 2$. The solutions of these equations corresponding to nontrivial values of the first Chern class are explicitly constructed.

[ { "created": "Fri, 13 Dec 1996 12:25:05 GMT", "version": "v1" } ]

2014-11-18

[ [ "Ferrari", "Franco", "" ] ]

In this paper the Maxwell field theory is considered on the $Z_n$ symmetric algebraic curves. As a first result, a large family of nondegenerate metrics is derived for general curves. This allows to treat many differential equations arising in quantum mechanics and field theory on Riemann surfaces as differential equations on the complex sphere. The examples of the scalar fields and of an electron immersed in a constant magnetic field will be briefly investigated. Finally, the case of the Maxwell equations on curves with $Z_n$ group of automorphisms is studied in details. These curves are particularly important because they cover the entire moduli space spanned by the Riemann surfaces of genus $g\le 2$. The solutions of these equations corresponding to nontrivial values of the first Chern class are explicitly constructed.

10.147277

9.98118

10.16256

10.074647

10.808303

10.398576

10.600636

9.588734

10.343794

10.867112

9.746488

9.733179

9.305138

9.585176

9.679278

9.541303

9.552747

9.989582

9.59821

9.698014

9.71321

hep-th/0401011

Shoichi Ichinose

Shoichi Ichinose and Akihiro Murayama

Quantum Dynamics of a Bulk-Boundary System

57 pages,10 figures, final version 2

Nucl.Phys. B710 (2005) 255-308

10.1016/j.nuclphysb.2004.12.023

US-03-08

hep-th

null

The quantum dynamics of a bulk-boundary theory is closely examined by the use of the background field method. As an example we take the Mirabelli-Peskin model, which is composed of 5D super Yang-Mills (bulk) and 4D Wess-Zumino (boundary). Singular interaction terms play an important role of canceling the divergences coming from the KK-mode sum. Some new regularization of the momentum integral is proposed. An interesting background configuration of scalar fields is found. It is a localized solution of the field equation. In this process of the vacuum search, we present a new treatment of the vacuum with respect to the extra coordinate. The "supersymmetric" effective potential is obtained at the 1-loop full (w.r.t. the coupling) level. This is the bulk-boundary generalization of the Coleman-Weinberg's case. Renormalization group analysis is done where the correct 4d result is reproduced. The Casimir energy is calculated and is compared with the case of the Kaluza-Klein model.

[ { "created": "Sun, 4 Jan 2004 06:11:40 GMT", "version": "v1" }, { "created": "Sat, 24 Jul 2004 05:56:01 GMT", "version": "v2" }, { "created": "Sat, 30 Oct 2004 03:49:36 GMT", "version": "v3" }, { "created": "Fri, 26 Nov 2004 02:12:23 GMT", "version": "v4" } ]

2009-11-10

[ [ "Ichinose", "Shoichi", "" ], [ "Murayama", "Akihiro", "" ] ]

The quantum dynamics of a bulk-boundary theory is closely examined by the use of the background field method. As an example we take the Mirabelli-Peskin model, which is composed of 5D super Yang-Mills (bulk) and 4D Wess-Zumino (boundary). Singular interaction terms play an important role of canceling the divergences coming from the KK-mode sum. Some new regularization of the momentum integral is proposed. An interesting background configuration of scalar fields is found. It is a localized solution of the field equation. In this process of the vacuum search, we present a new treatment of the vacuum with respect to the extra coordinate. The "supersymmetric" effective potential is obtained at the 1-loop full (w.r.t. the coupling) level. This is the bulk-boundary generalization of the Coleman-Weinberg's case. Renormalization group analysis is done where the correct 4d result is reproduced. The Casimir energy is calculated and is compared with the case of the Kaluza-Klein model.

12.187752

12.571312

12.443647

11.781484

12.189912

12.165236

11.449397

11.206729

11.624586

13.838622

11.411005

12.0775

12.063045

12.161976

12.183055

12.090621

12.112932

11.900065

12.035892

12.273085

11.905154

1706.07025

Frans Klinkhamer

K.J.B. Ghosh, F.R. Klinkhamer

Anomalous Lorentz and CPT violation from a local Chern-Simons-like term in the effective gauge-field action

48 pages, v7: published version

Nucl. Phys. B 926 (2018) 335-369

10.1016/j.nuclphysb.2017.11.010

KA-TP-25-2017

hep-th

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

We consider four-dimensional chiral gauge theories defined over a spacetime manifold with topology $\mathbb{R}^3 \times S^1$ and periodic boundary conditions over the compact dimension. The effective gauge-field action is calculated for Abelian $U(1)$ gauge fields $A_{\mu}(x)$ which depend on all four spacetime coordinates (including the coordinate $x^{4}\in S^1$ of the compact dimension) and have vanishing components $A_{4}(x)$ (implying trivial holonomies in the 4-direction). Our calculation shows that the effective gauge-field action contains a local Chern-Simons-like term which violates Lorentz and CPT invariance. This result is established perturbatively with a generalized Pauli-Villars regularization and nonperturbatively with a lattice regularization based on Ginsparg-Wilson fermions.

[ { "created": "Wed, 21 Jun 2017 17:35:45 GMT", "version": "v1" }, { "created": "Mon, 26 Jun 2017 17:22:47 GMT", "version": "v2" }, { "created": "Fri, 30 Jun 2017 17:29:31 GMT", "version": "v3" }, { "created": "Thu, 20 Jul 2017 16:58:36 GMT", "version": "v4" }, { "created": "Mon, 14 Aug 2017 16:04:30 GMT", "version": "v5" }, { "created": "Tue, 14 Nov 2017 14:25:09 GMT", "version": "v6" }, { "created": "Fri, 24 Nov 2017 12:58:42 GMT", "version": "v7" } ]

2018-03-14

[ [ "Ghosh", "K. J. B.", "" ], [ "Klinkhamer", "F. R.", "" ] ]

We consider four-dimensional chiral gauge theories defined over a spacetime manifold with topology $\mathbb{R}^3 \times S^1$ and periodic boundary conditions over the compact dimension. The effective gauge-field action is calculated for Abelian $U(1)$ gauge fields $A_{\mu}(x)$ which depend on all four spacetime coordinates (including the coordinate $x^{4}\in S^1$ of the compact dimension) and have vanishing components $A_{4}(x)$ (implying trivial holonomies in the 4-direction). Our calculation shows that the effective gauge-field action contains a local Chern-Simons-like term which violates Lorentz and CPT invariance. This result is established perturbatively with a generalized Pauli-Villars regularization and nonperturbatively with a lattice regularization based on Ginsparg-Wilson fermions.

4.853426

4.766945

5.048427

4.584968

4.822588

4.87223

4.652647

4.8283

4.710665

5.548901

4.767501

4.689558

4.621262

4.590293

4.630864

4.732734

4.593254

4.548661

4.700087

4.670106

4.525244

hep-th/9804145

Sachindeo Vaidya

A. P. Balachandran, G. Bimonte, T. R. Govindarajan, K. S. Gupta, V. John and S. Vaidya

Current Oscillations, Interacting Hall Discs and Boundary CFTs

32 pages, LateX. Uses amstex, amssymb. Typos corrected. To appear in Int. J. Mod. Phys. A

Int.J.Mod.Phys. A14 (1999) 1061-1086

10.1142/S0217751X99000531

SU-4240-675, DSF-9/98, IMSc 98/03/10, SINP-TNP/98-01, IC/98/37

hep-th cond-mat.mes-hall

null

In this paper, we discuss the behavior of conformal field theories interacting at a single point. The edge states of the quantum Hall effect (QHE) system give rise to a particular representation of a chiral Kac-Moody current algebra. We show that in the case of QHE systems interacting at one point we obtain a ``twisted'' representation of the current algebra. The condition for stationarity of currents is the same as the classical Kirchoff's law applied to the currents at the interaction point. We find that in the case of two discs touching at one point, since the currents are chiral, they are not stationary and one obtains current oscillations between the two discs. We determine the frequency of these oscillations in terms of an effective parameter characterizing the interaction. The chiral conformal field theories can be represented in terms of bosonic Lagrangians with a boundary interaction. We discuss how these one point interactions can be represented as boundary conditions on fields, and how the requirement of chirality leads to restrictions on the interactions described by these Lagrangians. By gauging these models we find that the theory is naturally coupled to a Chern-Simons gauge theory in 2+1 dimensions, and this coupling is completely determined by the requirement of anomaly cancellation.

[ { "created": "Tue, 21 Apr 1998 22:51:32 GMT", "version": "v1" }, { "created": "Fri, 24 Jul 1998 14:13:47 GMT", "version": "v2" } ]

2009-10-31

[ [ "Balachandran", "A. P.", "" ], [ "Bimonte", "G.", "" ], [ "Govindarajan", "T. R.", "" ], [ "Gupta", "K. S.", "" ], [ "John", "V.", "" ], [ "Vaidya", "S.", "" ] ]

In this paper, we discuss the behavior of conformal field theories interacting at a single point. The edge states of the quantum Hall effect (QHE) system give rise to a particular representation of a chiral Kac-Moody current algebra. We show that in the case of QHE systems interacting at one point we obtain a ``twisted'' representation of the current algebra. The condition for stationarity of currents is the same as the classical Kirchoff's law applied to the currents at the interaction point. We find that in the case of two discs touching at one point, since the currents are chiral, they are not stationary and one obtains current oscillations between the two discs. We determine the frequency of these oscillations in terms of an effective parameter characterizing the interaction. The chiral conformal field theories can be represented in terms of bosonic Lagrangians with a boundary interaction. We discuss how these one point interactions can be represented as boundary conditions on fields, and how the requirement of chirality leads to restrictions on the interactions described by these Lagrangians. By gauging these models we find that the theory is naturally coupled to a Chern-Simons gauge theory in 2+1 dimensions, and this coupling is completely determined by the requirement of anomaly cancellation.

8.024101

8.10432

8.532967

8.148106

8.613981

8.254117

8.772087

8.347074

7.996583

9.203807

7.990683

8.154756

8.313612

7.944988

8.072229

8.002889

7.942298

7.960515

8.044474

8.528606

7.910254

1812.05428

A. Yu. Petrov

M. B. Cruz, E. R. Bezerra de Mello, and A. Yu. Petrov

Fermionic Casimir effect in a field theory model with Lorentz symmetry violation

Version accepted for publication in PRD, metadata corrected

Phys. Rev. D 99, 085012 (2019)

10.1103/PhysRevD.99.085012

null

hep-th gr-qc

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

In this paper, we evaluate the Casimir energy and pressure for a massive fermionic field confined in the region between two parallel plates. In order to implement this confinement we impose the standard MIT bag boundary on the plates for the fermionic field. In this paper we consider a quantum field theory model with a CPT even, aether-like Lorentz symmetry violation. It turns out that the fermionic Casimir energy and pressure depend on the direction of the constant vector that implements the Lorentz symmetry breaking.

[ { "created": "Thu, 13 Dec 2018 13:52:34 GMT", "version": "v1" }, { "created": "Mon, 8 Apr 2019 16:16:45 GMT", "version": "v2" }, { "created": "Mon, 15 Apr 2019 12:04:56 GMT", "version": "v3" } ]

2019-04-29

[ [ "Cruz", "M. B.", "" ], [ "de Mello", "E. R. Bezerra", "" ], [ "Petrov", "A. Yu.", "" ] ]

In this paper, we evaluate the Casimir energy and pressure for a massive fermionic field confined in the region between two parallel plates. In order to implement this confinement we impose the standard MIT bag boundary on the plates for the fermionic field. In this paper we consider a quantum field theory model with a CPT even, aether-like Lorentz symmetry violation. It turns out that the fermionic Casimir energy and pressure depend on the direction of the constant vector that implements the Lorentz symmetry breaking.

7.703452

5.749588

7.78196

6.415474

6.586185

5.83655

5.824978

5.952714

6.709346

8.375993

6.529846

6.288366

7.290784

6.481015

6.649752

6.729669

6.41555

6.73411

6.660741

7.68948

6.997218

1406.2991

H. Casini

Horacio Casini, Marina Huerta

Entanglement entropy for a Maxwell field: Numerical calculation on a two dimensional lattice

27 pages, 15 figures

null

10.1103/PhysRevD.90.105013

null

hep-th hep-lat quant-ph

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

We study entanglement entropy (EE) for a Maxwell field in 2+1 dimensions. We do numerical calculations in two dimensional lattices. This gives a concrete example of the general results of our recent work on entropy for lattice gauge fields using an algebraic approach. To evaluate the entropies we extend the standard calculation methods for the entropy of Gaussian states in canonical commutation algebras to the more general case of algebras with center and arbitrary numerical commutators. We find that while the entropy depends on the details of the algebra choice, mutual information has a well defined continuum limit. We study several universal terms for the entropy of the Maxwell field and compare with the case of a massless scalar field. We find some interesting new phenomena: An "evanescent" logarithmically divergent term in the entropy with topological coefficient which does not have any correspondence with ultraviolet entanglement in the universal quantities, and a non standard way in which strong subadditivity is realized. Based on the results of our calculations we propose a generalization of strong subadditivity for the entropy on some algebras that are not in tensor product.

[ { "created": "Wed, 11 Jun 2014 18:41:14 GMT", "version": "v1" } ]

2015-06-19

[ [ "Casini", "Horacio", "" ], [ "Huerta", "Marina", "" ] ]

We study entanglement entropy (EE) for a Maxwell field in 2+1 dimensions. We do numerical calculations in two dimensional lattices. This gives a concrete example of the general results of our recent work on entropy for lattice gauge fields using an algebraic approach. To evaluate the entropies we extend the standard calculation methods for the entropy of Gaussian states in canonical commutation algebras to the more general case of algebras with center and arbitrary numerical commutators. We find that while the entropy depends on the details of the algebra choice, mutual information has a well defined continuum limit. We study several universal terms for the entropy of the Maxwell field and compare with the case of a massless scalar field. We find some interesting new phenomena: An "evanescent" logarithmically divergent term in the entropy with topological coefficient which does not have any correspondence with ultraviolet entanglement in the universal quantities, and a non standard way in which strong subadditivity is realized. Based on the results of our calculations we propose a generalization of strong subadditivity for the entropy on some algebras that are not in tensor product.

12.278746

12.736665

12.256043

11.57758

12.224301

11.657815

12.389231

11.884318

11.756016

13.989549

11.581705

11.804909

12.07037

11.463505

12.017591

11.328271

11.865293

11.754709

11.856823

12.128103

11.899314

2403.15531

Francesco Giacosa

Leonardo Tinti, Arthur Vereijken, Shahriyar Jafarzade, Francesco Giacosa

Scalar field with a time-independent classical source, not trivial after all: from vacuum decay to scattering

33 pages, 3 figures

null

hep-th hep-ph nucl-th quant-ph

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

Historically it has been believed that a time-independent classical source has no effect on the scattering of relativistic uncharged field, in contrast with single particle quantum mechanics. In this work we show that the dynamics is not trivial. We solve exactly for the scattering amplitudes and find that a key ingredient is the production of particles from the unstable vacuum, conceptually similar to the Schwinger mechanism. We compute exactly the probabilities for the vacuum to decay in $n$ particles. The time dependence of such probabilities displays interesting properties such as the quantum Zeno effect and in particular has no regime where the exponential decay law is a good approximation. We show that the trivial scattering found in the past is the byproduct of the adiabatic switching of the interaction. In fact, it is not possible to switch off the interaction (adiabatically or otherwise) at distant times and recover the exact results. Finally, this non trivial vacuum behavior is a source of particle production. We argue that such non-perturbative calculations can be phenomenologically relevant for the production processes that are suppressed at the lower orders in perturbation theory, for instance dilaton production in a medium.

[ { "created": "Fri, 22 Mar 2024 18:00:00 GMT", "version": "v1" } ]

2024-03-26

[ [ "Tinti", "Leonardo", "" ], [ "Vereijken", "Arthur", "" ], [ "Jafarzade", "Shahriyar", "" ], [ "Giacosa", "Francesco", "" ] ]

Historically it has been believed that a time-independent classical source has no effect on the scattering of relativistic uncharged field, in contrast with single particle quantum mechanics. In this work we show that the dynamics is not trivial. We solve exactly for the scattering amplitudes and find that a key ingredient is the production of particles from the unstable vacuum, conceptually similar to the Schwinger mechanism. We compute exactly the probabilities for the vacuum to decay in $n$ particles. The time dependence of such probabilities displays interesting properties such as the quantum Zeno effect and in particular has no regime where the exponential decay law is a good approximation. We show that the trivial scattering found in the past is the byproduct of the adiabatic switching of the interaction. In fact, it is not possible to switch off the interaction (adiabatically or otherwise) at distant times and recover the exact results. Finally, this non trivial vacuum behavior is a source of particle production. We argue that such non-perturbative calculations can be phenomenologically relevant for the production processes that are suppressed at the lower orders in perturbation theory, for instance dilaton production in a medium.

13.272034

13.59223

12.953918

12.348986

14.22458

13.385714

13.390568

13.79064

12.441482

14.238851

12.600035

12.18058

12.60354

12.412324

12.90605

12.514197

12.843562

12.117279

12.147061

12.601534

12.604136

1404.7224

Daniel S. Freed

Anomalies and Invertible Field Theories

21 pages, based talk at String-Math 2013; small corrections in v2

null

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

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

We give a modern geometric viewpoint on anomalies in quantum field theory and illustrate it in a 1-dimensional theory: supersymmetric quantum mechanics. This is background for the resolution of worldsheet anomalies in orientifold superstring theory.

[ { "created": "Tue, 29 Apr 2014 03:35:12 GMT", "version": "v1" }, { "created": "Sat, 21 Jun 2014 02:48:05 GMT", "version": "v2" } ]

2014-06-24

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

We give a modern geometric viewpoint on anomalies in quantum field theory and illustrate it in a 1-dimensional theory: supersymmetric quantum mechanics. This is background for the resolution of worldsheet anomalies in orientifold superstring theory.

24.2911

18.056837

21.057167

19.152323

18.676128

18.338673

18.374132

17.834631

19.735815

25.07601

18.964622

20.169687

21.796423

19.197369

19.265369

20.52887

19.684128

20.093674

20.057882

22.411562

20.566587

1806.09146

Tianshu Liu

Thomas Creutzig, Shashank Kanade, Tianshu Liu and David Ridout

Cosets, characters and fusion for admissible-level $\mathfrak{osp}(1 \vert 2)$ minimal models

26 pages, minor revision

null

10.1016/j.nuclphysb.2018.10.022

null

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

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

We study the minimal models associated to $\mathfrak{osp}(1 \vert 2)$, otherwise known as the fractional-level Wess-Zumino-Witten models of $\mathfrak{osp}(1 \vert 2)$. Since these minimal models are extensions of the tensor product of certain Virasoro and $\mathfrak{sl}_2$ minimal models, we can induce the known structures of the representations of the latter models to get a rather complete understanding of the minimal models of $\mathfrak{osp}(1 \vert 2)$. In particular, we classify the irreducible relaxed highest-weight modules, determine their characters and compute their Grothendieck fusion rules. We also discuss conjectures for their (genuine) fusion products and the projective covers of the irreducibles.

[ { "created": "Sun, 24 Jun 2018 13:51:34 GMT", "version": "v1" }, { "created": "Mon, 12 Nov 2018 06:33:27 GMT", "version": "v2" } ]

2018-12-05

[ [ "Creutzig", "Thomas", "" ], [ "Kanade", "Shashank", "" ], [ "Liu", "Tianshu", "" ], [ "Ridout", "David", "" ] ]

We study the minimal models associated to $\mathfrak{osp}(1 \vert 2)$, otherwise known as the fractional-level Wess-Zumino-Witten models of $\mathfrak{osp}(1 \vert 2)$. Since these minimal models are extensions of the tensor product of certain Virasoro and $\mathfrak{sl}_2$ minimal models, we can induce the known structures of the representations of the latter models to get a rather complete understanding of the minimal models of $\mathfrak{osp}(1 \vert 2)$. In particular, we classify the irreducible relaxed highest-weight modules, determine their characters and compute their Grothendieck fusion rules. We also discuss conjectures for their (genuine) fusion products and the projective covers of the irreducibles.

5.206327

5.38336

7.769449

5.233054

5.318791

5.743834

5.423177

5.360832

4.969779

6.761163

5.28147

5.356065

6.410656

5.147863

5.315915

5.328102

5.052774

5.310145

5.045149

5.996012

5.131376

hep-th/0301103

Sergei Khlebnikov

S. Khlebnikov

A dual description of decoherence in de Sitter space

11 pages, latex; a reference added

JHEP 0303:059,2003

10.1088/1126-6708/2003/03/059

null

hep-th gr-qc

null

Decoherence associated with super-Hubble modes in de Sitter space may have a dual description, in which it is attributed to interaction of sub-Hubble modes with an ``environment'' residing just inside the observer's horizon. We present a version of such description, together with some consistency checks, which it is shown to pass.

[ { "created": "Wed, 15 Jan 2003 19:45:44 GMT", "version": "v1" }, { "created": "Wed, 22 Jan 2003 19:28:41 GMT", "version": "v2" } ]

2014-11-18

[ [ "Khlebnikov", "S.", "" ] ]

Decoherence associated with super-Hubble modes in de Sitter space may have a dual description, in which it is attributed to interaction of sub-Hubble modes with an ``environment'' residing just inside the observer's horizon. We present a version of such description, together with some consistency checks, which it is shown to pass.

17.739418

12.253972

14.612741

13.204473

13.117156

14.735621

13.385991

12.645346

12.932332

16.962345

14.794995

13.142995

13.428669

12.775311

12.311782

12.672734

13.120483

12.618577

12.604331

13.091155

13.536476

1105.5848

E. T. Tomboulis

General Relativity as the effective theory of GL(4,R) spontaneous symmetry breaking

15 pages

Phys. Rev. D 84, 084018 (2011)

10.1103/PhysRevD.84.084018

null

hep-th gr-qc

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

We assume a GL(4,R) space-time symmetry which is spontaneously broken to SO(3,1). We carry out the coset construction of the effective theory for the non-linearly realized broken symmetry in terms of the Goldstone fields and matter fields transforming linearly under the unbroken Lorentz subgroup. We then identify functions of the Goldstone and matter fields that transform linearly also under the broken symmetry. Expressed in terms of these quantities the effective theory reproduces the vierbein formalism of General Relativity with general coordinate invariance being automatically realized non-linearly over GL(4,R). The coset construction makes no assumptions about any underlying theory that might be responsible for the assumed symmetry breaking. We give a brief discussion of the possibility of field theories with GL(4,R) rather than Lorentz space-time symmetry providing the underlying dynamics.

[ { "created": "Mon, 30 May 2011 02:21:59 GMT", "version": "v1" } ]

2013-05-29

[ [ "Tomboulis", "E. T.", "" ] ]

We assume a GL(4,R) space-time symmetry which is spontaneously broken to SO(3,1). We carry out the coset construction of the effective theory for the non-linearly realized broken symmetry in terms of the Goldstone fields and matter fields transforming linearly under the unbroken Lorentz subgroup. We then identify functions of the Goldstone and matter fields that transform linearly also under the broken symmetry. Expressed in terms of these quantities the effective theory reproduces the vierbein formalism of General Relativity with general coordinate invariance being automatically realized non-linearly over GL(4,R). The coset construction makes no assumptions about any underlying theory that might be responsible for the assumed symmetry breaking. We give a brief discussion of the possibility of field theories with GL(4,R) rather than Lorentz space-time symmetry providing the underlying dynamics.

7.629556

7.635602

7.443379

7.036441

7.506863

7.412624

7.426679

7.13671

7.130547

8.007431

7.465683

7.290219

7.395029

7.270966

7.205758

7.284999

7.227943

7.700192

7.250413

7.549417

7.214489

1111.3040

Daniel Green

Daniel Baumann and Daniel Green

A Field Range Bound for General Single-Field Inflation

16 pages

null

10.1088/1475-7516/2012/05/017

null

hep-th astro-ph.CO hep-ph

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

We explore the consequences of a detection of primordial tensor fluctuations for general single-field models of inflation. Using the effective theory of inflation, we propose a generalization of the Lyth bound. Our bound applies to all single-field models with two-derivative kinetic terms for the scalar fluctuations and is always stronger than the corresponding bound for slow-roll models. This shows that non-trivial dynamics can't evade the Lyth bound. We also present a weaker, but completely universal bound that holds whenever the Null Energy Condition (NEC) is satisfied at horizon crossing.

[ { "created": "Sun, 13 Nov 2011 18:00:25 GMT", "version": "v1" } ]

2015-06-03

[ [ "Baumann", "Daniel", "" ], [ "Green", "Daniel", "" ] ]

We explore the consequences of a detection of primordial tensor fluctuations for general single-field models of inflation. Using the effective theory of inflation, we propose a generalization of the Lyth bound. Our bound applies to all single-field models with two-derivative kinetic terms for the scalar fluctuations and is always stronger than the corresponding bound for slow-roll models. This shows that non-trivial dynamics can't evade the Lyth bound. We also present a weaker, but completely universal bound that holds whenever the Null Energy Condition (NEC) is satisfied at horizon crossing.

8.816555

8.546111

9.072499

8.420335

8.793339

8.705815

8.379581

8.878911

7.661691

9.617285

8.487973

8.851883

8.944876

8.585062

8.602256

8.225607

8.444468

8.674286

8.683893

8.939428

8.507352

0905.3047

Carlos A. R. Herdeiro

Jai Grover, Jan B. Gutowski, Carlos A. R. Herdeiro, Patrick Meessen, Alberto Palomo-Lozano and Wafic A. Sabra

Gauduchon-Tod structures, Sim holonomy and De Sitter supergravity

1+21 pages, no figures; v2 minor changes, typos corrected, matches published version in JHEP

JHEP 0907:069,2009

10.1088/1126-6708/2009/07/069

null

hep-th gr-qc

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

Solutions of five-dimensional De Sitter supergravity admitting Killing spinors are considered, using spinorial geometry techniques. It is shown that the "null" solutions are defined in terms of a one parameter family of 3-dimensional constrained Einstein-Weyl spaces called Gauduchon-Tod structures. They admit a geodesic, expansion-free, twist-free and shear-free null vector field and therefore are a particular type of Kundt geometry. When the Gauduchon-Tod structure reduces to the 3-sphere, the null vector becomes recurrent, and therefore the holonomy is contained in Sim(3), the maximal proper subgroup of the Lorentz group SO(4,1). For these geometries, all scalar invariants built from the curvature are constant. Explicit examples are discussed.

[ { "created": "Tue, 19 May 2009 09:10:54 GMT", "version": "v1" }, { "created": "Mon, 10 Aug 2009 16:08:15 GMT", "version": "v2" } ]

2009-08-26

[ [ "Grover", "Jai", "" ], [ "Gutowski", "Jan B.", "" ], [ "Herdeiro", "Carlos A. R.", "" ], [ "Meessen", "Patrick", "" ], [ "Palomo-Lozano", "Alberto", "" ], [ "Sabra", "Wafic A.", "" ] ]

Solutions of five-dimensional De Sitter supergravity admitting Killing spinors are considered, using spinorial geometry techniques. It is shown that the "null" solutions are defined in terms of a one parameter family of 3-dimensional constrained Einstein-Weyl spaces called Gauduchon-Tod structures. They admit a geodesic, expansion-free, twist-free and shear-free null vector field and therefore are a particular type of Kundt geometry. When the Gauduchon-Tod structure reduces to the 3-sphere, the null vector becomes recurrent, and therefore the holonomy is contained in Sim(3), the maximal proper subgroup of the Lorentz group SO(4,1). For these geometries, all scalar invariants built from the curvature are constant. Explicit examples are discussed.

8.153563

8.118491

8.523081

7.422742

8.23872

8.199434

8.985471

7.043623

7.74869

9.305022

7.858844

8.145282

8.155427

7.616752

7.796474

8.122985

7.812251

7.641021

8.008386

7.889148

8.052669

1406.4142

David Berenstein

David Berenstein, Alexandra Miller

Conformal perturbation theory, dimensional regularization and AdS/CFT

18 pages

Phys. Rev. D 90, 086011 (2014)

10.1103/PhysRevD.90.086011

null

hep-th

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

We study relevant deformations of conformal field theory on a cylinder using conformal perturbation theory, and in particular the one point function of the deformation operator and the energy in a system after a quench. We do the one point function calculation in both AdS and the conformal field theory and we show that the results match. Our calculations are done with arbitrary spacetime dimension, as well as arbitrary scaling dimension of the relevant operator. The only singularities that appear in the end calculation can be related to logarithmic singularities in dimensional regularization. We also study time dependent setups in the field theory and we show how the response of the system can be calculated in a Hamiltonian based approach. We use this procedure to explain certain short time universal results that have been found previously.

[ { "created": "Mon, 16 Jun 2014 20:00:09 GMT", "version": "v1" } ]

2014-11-05

[ [ "Berenstein", "David", "" ], [ "Miller", "Alexandra", "" ] ]

We study relevant deformations of conformal field theory on a cylinder using conformal perturbation theory, and in particular the one point function of the deformation operator and the energy in a system after a quench. We do the one point function calculation in both AdS and the conformal field theory and we show that the results match. Our calculations are done with arbitrary spacetime dimension, as well as arbitrary scaling dimension of the relevant operator. The only singularities that appear in the end calculation can be related to logarithmic singularities in dimensional regularization. We also study time dependent setups in the field theory and we show how the response of the system can be calculated in a Hamiltonian based approach. We use this procedure to explain certain short time universal results that have been found previously.

11.258797

10.523527

13.803801

10.052611

10.888856

10.75678

9.655319

10.53414

9.726352

13.011857

10.421357

10.27638

11.699121

10.555563

10.66425

10.481057

10.144198

10.319642

10.346117

11.823589

10.210443

1212.6173

Ronald Reid-Edwards

L. J. Mason and R. A. Reid-Edwards

The supersymmetric Penrose transform in six dimensions

20 pages

null

hep-th

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

We give a supersymmetric extension to the six-dimensional Penrose transform and give an integral formula for the on-shell (0, 2) supermultiplet. The relationship between super fields on space-time and twistor space is clarified and the space-time superfield constraint equations are derived from the geometry of supertwistor space. We also explain the extension to more general (0,n) supermultiplets and give twistor actions for these theories.

[ { "created": "Wed, 26 Dec 2012 13:15:14 GMT", "version": "v1" } ]

2012-12-27

[ [ "Mason", "L. J.", "" ], [ "Reid-Edwards", "R. A.", "" ] ]

We give a supersymmetric extension to the six-dimensional Penrose transform and give an integral formula for the on-shell (0, 2) supermultiplet. The relationship between super fields on space-time and twistor space is clarified and the space-time superfield constraint equations are derived from the geometry of supertwistor space. We also explain the extension to more general (0,n) supermultiplets and give twistor actions for these theories.

10.502643

8.920053

11.713386

9.024573

8.992375

8.747252

8.702254

8.763379

8.758514

12.45228

8.758713

8.770393

11.113615

8.965366

9.198763

9.181084

9.457042

9.276608

9.315527

10.956873

9.167762

1007.0195

David Skinner

A Direct Proof of BCFW Recursion for Twistor-Strings

23 pages, 5 figures

JHEP 1101:072,2011

10.1007/JHEP01(2011)072

null

hep-th math-ph math.MP

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

This paper gives a direct proof that the leading trace part of the genus zero twistor-string path integral obeys the BCFW recursion relation. This is the first complete proof that the twistor-string correctly computes all tree amplitudes in maximally supersymmetric Yang-Mills theory. The recursion has a beautiful geometric interpretation in twistor space that closely reflects the structure of BCFW recursion in momentum space, both on the one hand as a relation purely among tree amplitudes with shifted external momenta, and on the other as a relation between tree amplitudes and leading singularities of higher loop amplitudes. The proof works purely at the level of the string path integral and is intimately related to the recursive structure of boundary divisors in the moduli space of stable maps to CP^3.

[ { "created": "Thu, 1 Jul 2010 15:37:36 GMT", "version": "v1" } ]

2011-03-07

[ [ "Skinner", "David", "" ] ]

This paper gives a direct proof that the leading trace part of the genus zero twistor-string path integral obeys the BCFW recursion relation. This is the first complete proof that the twistor-string correctly computes all tree amplitudes in maximally supersymmetric Yang-Mills theory. The recursion has a beautiful geometric interpretation in twistor space that closely reflects the structure of BCFW recursion in momentum space, both on the one hand as a relation purely among tree amplitudes with shifted external momenta, and on the other as a relation between tree amplitudes and leading singularities of higher loop amplitudes. The proof works purely at the level of the string path integral and is intimately related to the recursive structure of boundary divisors in the moduli space of stable maps to CP^3.

6.964118

7.190251

7.457688

6.432089

6.710047

7.139006

7.217704

6.457292

6.491611

7.741163

6.689281

6.547238

7.070522

6.431387

6.606436

6.322294

6.746382

6.548603

6.439332

6.934475

6.373143

0911.4709

Wei Chao

Horava-Lifshitz Type Quantum Field Theory and Hierarchy Problem

8 pages, 2 figures

Commun. Theor. Phys. 65(2016) 743-746

10.1088/0253-6102/65/6/743

null

hep-th

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

We study the Lifshitz type extension of the standard model (SM) at UV, with dynamical critical exponent z=3. One loop radiative corrections to the Higgs mass in such a model is calculated. Our result shows that, the Hierarchy problem, which has initiated many excellent extension of the minimal SM, can be weakened in the z=3 Lifshitz type quantum field theory.

[ { "created": "Tue, 24 Nov 2009 20:55:28 GMT", "version": "v1" }, { "created": "Fri, 27 May 2016 23:55:56 GMT", "version": "v2" }, { "created": "Fri, 24 Jun 2016 18:41:57 GMT", "version": "v3" } ]

2016-06-27

[ [ "Chao", "Wei", "" ] ]

We study the Lifshitz type extension of the standard model (SM) at UV, with dynamical critical exponent z=3. One loop radiative corrections to the Higgs mass in such a model is calculated. Our result shows that, the Hierarchy problem, which has initiated many excellent extension of the minimal SM, can be weakened in the z=3 Lifshitz type quantum field theory.

12.413225

11.425288

10.854171

10.652816

10.266347

11.318948

10.81549

10.339374

9.695636

11.400687

10.519897

10.367432

11.560208

11.178051

11.003578

11.049611

10.63408

11.038892

10.880596

10.843385

11.184917

hep-th/9210100

null

Krzysztof Gaw\c{e}dzki

Quantum Group Symmetries in Conformal Field Theory

13 pages, Talk given at Oji Seminar on Quantum Analysis, Kyoto, June 25-29, 1992

null

IHES/P/92/80

hep-th

null

Quantum groups play the role of hidden symmetries of some two-dimensional field theories. We discuss how they appear in this role in the Wess-Zumino-Witten model of conformal field theory.

[ { "created": "Mon, 19 Oct 1992 10:24:45 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gawȩdzki", "Krzysztof", "" ] ]

Quantum groups play the role of hidden symmetries of some two-dimensional field theories. We discuss how they appear in this role in the Wess-Zumino-Witten model of conformal field theory.

9.560154

5.579331

6.765316

5.631749

5.574864

5.133645

5.069007

5.754356

5.241658

5.856383

5.329562

5.796277

6.753879

5.879818

5.785871

5.959083

5.734153

6.04541

5.864619

6.414658

5.807346

hep-th/0611114

David Dudal

D. Dudal, M.A.L. Capri, J.A. Gracey, V.E.R. Lemes, R.F. Sobreiro, S.P. Sorella, H. Verschelde

Dimension two gluon condensates in a variety of gauges and a gauge invariant Yang-Mills action with a mass

4 pages. espcrc2.sty is used. Talk given at "13th International Conference In QCD (QCD 06), 3-7 Jul 2006, Montpellier, France"

Nucl.Phys.Proc.Suppl.174:201-204,2007

10.1016/j.nuclphysbps.2007.08.124

LTH-727

hep-th

null

We give a short overview of our work concerning the dimension two operator A^2 in the Landau gauge and its generalizations to other gauges. We conclude by discussing recent work that leads to a renormalizable gauge invariant action containing a mass parameter, based on the operator F 1/D^2 F.

[ { "created": "Fri, 10 Nov 2006 08:35:47 GMT", "version": "v1" } ]

2008-11-26

[ [ "Dudal", "D.", "" ], [ "Capri", "M. A. L.", "" ], [ "Gracey", "J. A.", "" ], [ "Lemes", "V. E. R.", "" ], [ "Sobreiro", "R. F.", "" ], [ "Sorella", "S. P.", "" ], [ "Verschelde", "H.", "" ] ]

We give a short overview of our work concerning the dimension two operator A^2 in the Landau gauge and its generalizations to other gauges. We conclude by discussing recent work that leads to a renormalizable gauge invariant action containing a mass parameter, based on the operator F 1/D^2 F.

19.704609

10.553771

15.810295

14.538693

13.559193

12.331509

11.85114

12.096783

12.175851

15.875403

14.116645

15.099899

16.080179

14.96534

14.69017

14.843212

14.67762

14.324729

15.028535

16.528181

15.300164

hep-th/0011167

Chris Pope

M. Cvetic, M.J. Duff, James T. Liu, H. Lu, C.N. Pope and K.S. Stelle

Randall-Sundrum Brane Tensions

Latex, 21 pages, 2 figures

Nucl.Phys.B605:141-158,2001

10.1016/S0550-3213(01)00205-X

null

hep-th

null

We show that the singular sources in the energy-momentum tensor for the Randall-Sundrum brane world, viewed as a solution of type IIB supergravity, are composed of two elements. One of these is a D3-brane source with tension opposite in sign to the RS tension in five dimensions; the other arises from patching two regions of flat ten-dimensional spacetime. This resolves an apparent discrepancy between supersymmetry and the sign and magnitude of the RS tension.

[ { "created": "Mon, 20 Nov 2000 23:13:33 GMT", "version": "v1" } ]

2009-09-17

[ [ "Cvetic", "M.", "" ], [ "Duff", "M. J.", "" ], [ "Liu", "James T.", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ], [ "Stelle", "K. S.", "" ] ]

We show that the singular sources in the energy-momentum tensor for the Randall-Sundrum brane world, viewed as a solution of type IIB supergravity, are composed of two elements. One of these is a D3-brane source with tension opposite in sign to the RS tension in five dimensions; the other arises from patching two regions of flat ten-dimensional spacetime. This resolves an apparent discrepancy between supersymmetry and the sign and magnitude of the RS tension.

10.012289

8.856846

10.343856

9.013985

9.350124

9.585794

9.182843

9.527482

9.649446

11.739566

9.193547

9.927379

9.775182

9.854708

9.493617

9.508894

9.704974

9.351072

10.287261

9.929439

9.73726

1312.2972

Daniele Marmiroli

Daniele Marmiroli (NORDITA)

Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory

31 pages

null

NORDITA preprint number 2013-100

hep-th

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

We introduce a new purely bosonic, $\frac{1}{6}$ BPS Wilson loop for ABJM theory on $S^3$ that couples scalar fields to a latitude at an angle $\theta$ on $S^2\in\mathbb{C}P^3$. Through localization of this operator, we relate the expansion of the cusp anomalous dimension at small cusp angles to the logarithmic derivative of the ABJM Wilson loop. This defines, non-perturbatively in the 't Hooft coupling, the bremsstrahlung function $B(\lambda)$ describing in three dimensions the soft radiation of a $W$-boson undergoing a sudden change in trajectory. We compare our results for $B(\lambda)$ to the known weak/strong coupling expansions of the function $h(\lambda)$ that enters integrability. At weak coupling we precisely match the previously known two-loop result. At strong coupling we find agreement at leading order in $\sqrt{\lambda}$, but a mismatch of the constant coefficient. We comment on the striking similarity that we observe between these two, in principle, unrelated functions.

[ { "created": "Tue, 10 Dec 2013 21:32:17 GMT", "version": "v1" } ]

2013-12-12

[ [ "Marmiroli", "Daniele", "", "NORDITA" ] ]

We introduce a new purely bosonic, $\frac{1}{6}$ BPS Wilson loop for ABJM theory on $S^3$ that couples scalar fields to a latitude at an angle $\theta$ on $S^2\in\mathbb{C}P^3$. Through localization of this operator, we relate the expansion of the cusp anomalous dimension at small cusp angles to the logarithmic derivative of the ABJM Wilson loop. This defines, non-perturbatively in the 't Hooft coupling, the bremsstrahlung function $B(\lambda)$ describing in three dimensions the soft radiation of a $W$-boson undergoing a sudden change in trajectory. We compare our results for $B(\lambda)$ to the known weak/strong coupling expansions of the function $h(\lambda)$ that enters integrability. At weak coupling we precisely match the previously known two-loop result. At strong coupling we find agreement at leading order in $\sqrt{\lambda}$, but a mismatch of the constant coefficient. We comment on the striking similarity that we observe between these two, in principle, unrelated functions.

8.452946

8.151975

8.939156

8.08111

8.098116

9.207349

8.146123

8.293856

8.179201

10.154012

7.766364

7.940019

8.739809

8.130448

7.836945

7.99393

8.026185

7.939949

7.831093

8.724674

7.823229

0712.2118

Mohammad Sami

Mofazzal Azam, M. Sami, C. S. Unnikrishnan, T. Shiromizu

Proposal for an experiment to search for Randall-Sundrum type corrections to Newton's law of gravitation

4 pages and 5 figures, figures improved, minor clarifications and few references added, final version to appear in PRD (rapid communications)

Phys.Rev.D77:101101,2008

10.1103/PhysRevD.77.101101

null

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

null

String theory, as well as the string inspired brane-world models such as the Randall-Sundrum (RS) one, suggest a modification of Newton's law of gravitation at small distance scales. Search for modifications of standard gravity is an active field of research in this context. It is well known that short range corrections to gravity would violate the Newton-Birkhoff theorem. Based on calculations of RS type non-Newtonian forces for finite size spherical bodies, we propose a torsion balance based experiment to search for the effects of violation of this celebrated theorem valid in Newtonian gravity as well as the general theory of relativity. We explain the main principle behind the experiment and provide detailed calculations suggesting optimum values of the parameters of the experiment. The projected sensitivity is sufficient to probe the Randall-Sundrum parameter up to 10 microns.

[ { "created": "Thu, 13 Dec 2007 10:13:19 GMT", "version": "v1" }, { "created": "Wed, 2 Apr 2008 07:18:41 GMT", "version": "v2" } ]

2009-09-29

[ [ "Azam", "Mofazzal", "" ], [ "Sami", "M.", "" ], [ "Unnikrishnan", "C. S.", "" ], [ "Shiromizu", "T.", "" ] ]

String theory, as well as the string inspired brane-world models such as the Randall-Sundrum (RS) one, suggest a modification of Newton's law of gravitation at small distance scales. Search for modifications of standard gravity is an active field of research in this context. It is well known that short range corrections to gravity would violate the Newton-Birkhoff theorem. Based on calculations of RS type non-Newtonian forces for finite size spherical bodies, we propose a torsion balance based experiment to search for the effects of violation of this celebrated theorem valid in Newtonian gravity as well as the general theory of relativity. We explain the main principle behind the experiment and provide detailed calculations suggesting optimum values of the parameters of the experiment. The projected sensitivity is sufficient to probe the Randall-Sundrum parameter up to 10 microns.

10.212089

11.473887

10.047827

9.719214

10.266883

9.894083

11.900673

10.296419

10.035909

11.619159

10.379172

10.306704

9.708011

9.757194

9.934785

10.245626

10.139263

9.977421

9.78908

10.143594

9.953358

1802.08107

Tom\'a\v{s} Brauner

Mark P. Bogers and Tomas Brauner

Geometry of Multi-Flavor Galileon-Like Theories

8 pages; v2: substantially rewritten and extended, matches version to appear in PRL

Phys. Rev. Lett. 121, 171602 (2018)

10.1103/PhysRevLett.121.171602

null

hep-th gr-qc

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

We use Lie-algebraic arguments to classify Lorentz-invariant theories of massless interacting scalars that feature coordinate-dependent redundant symmetries of the Galileon type. We show that such theories are determined, up to a set of low-energy effective couplings, by specifying an affine representation of the Lie algebra of physical, non-redundant internal symmetries and an invariant metric on its target space. This creates an infinite catalog of theories relevant for both cosmology and high-energy physics thanks to their special properties such as enhanced scaling of scattering amplitudes in the soft limit.

[ { "created": "Thu, 22 Feb 2018 15:43:02 GMT", "version": "v1" }, { "created": "Thu, 4 Oct 2018 08:23:43 GMT", "version": "v2" } ]

2018-10-31

[ [ "Bogers", "Mark P.", "" ], [ "Brauner", "Tomas", "" ] ]

We use Lie-algebraic arguments to classify Lorentz-invariant theories of massless interacting scalars that feature coordinate-dependent redundant symmetries of the Galileon type. We show that such theories are determined, up to a set of low-energy effective couplings, by specifying an affine representation of the Lie algebra of physical, non-redundant internal symmetries and an invariant metric on its target space. This creates an infinite catalog of theories relevant for both cosmology and high-energy physics thanks to their special properties such as enhanced scaling of scattering amplitudes in the soft limit.

12.780432

12.242323

13.114122

11.136353

11.706779

11.14505

11.972303

12.522267

12.417229

14.97773

11.015417

11.737872

12.180116

11.752616

12.260088

12.622973

11.53593

12.60743

11.876353

12.320551

11.672581

hep-th/0002060

Yan-Gang Miao

Yan-Gang Miao, R. Manvelyan and H.J.W. Mueller-Kirsten

Self-Duality beyond Chiral p-Form Actions

Latex, 13 pages, no figures, minor typos corrected

Phys.Lett. B482 (2000) 264

10.1016/S0370-2693(00)00502-5

null

hep-th

null

The self-duality of chiral p-forms was originally investigated by Pasti, Sorokin and Tonin in a manifestly Lorentz covariant action with non-polynomial auxiliary fields. The investigation was then extended to other chiral p-form actions. In this paper we point out that the self-duality appears in a wider context of theoretical models that relate to chiral p-forms. We demonstrate this by considering the interacting model of Floreanini-Jackiw chiral bosons and gauge fields, the generalized chiral Schwinger model (GCSM) and the latter's gauge invariant formulation, and discover that the self-duality of the GCSM corresponds to the vector and axial vector current duality.

[ { "created": "Tue, 8 Feb 2000 10:34:44 GMT", "version": "v1" }, { "created": "Tue, 30 May 2000 15:24:56 GMT", "version": "v2" } ]

2009-10-31

[ [ "Miao", "Yan-Gang", "" ], [ "Manvelyan", "R.", "" ], [ "Mueller-Kirsten", "H. J. W.", "" ] ]

The self-duality of chiral p-forms was originally investigated by Pasti, Sorokin and Tonin in a manifestly Lorentz covariant action with non-polynomial auxiliary fields. The investigation was then extended to other chiral p-form actions. In this paper we point out that the self-duality appears in a wider context of theoretical models that relate to chiral p-forms. We demonstrate this by considering the interacting model of Floreanini-Jackiw chiral bosons and gauge fields, the generalized chiral Schwinger model (GCSM) and the latter's gauge invariant formulation, and discover that the self-duality of the GCSM corresponds to the vector and axial vector current duality.

2.45893

6.219064

8.624186

6.444974

6.04485

6.448329

6.277125

6.077017

6.14501

8.501637

6.279947

5.638986

6.581296

6.204499

6.146132

5.831149

6.165674

5.810705

6.239686

6.807567

6.077592

1510.08055

Andrea Puhm

Iosif Bena, Lucien Heurtier and Andrea Puhm

AdS_3: the NHEK generation

25 pages

null

IPhT-T15/184,CPHT-RR043.1015,ULB-TH/15-20

hep-th gr-qc

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

It was argued in arXiv:1203.4227 that the five-dimensional near-horizon extremal Kerr (NHEK) geometry can be embedded in String Theory as the infrared region of an infinite family of non-supersymmetric geometries that have D1, D5, momentum and KK monopole charges. We show that there exists a method to embed these geometries into asymptotically-AdS_3 x S^3/Z_N solutions, and hence to obtain infinite families of flows whose infrared is NHEK. This indicates that the CFT dual to the NHEK geometry is the IR fixed point of a Renormalization Group flow from a known local UV CFT and opens the door to its explicit construction.

[ { "created": "Tue, 27 Oct 2015 20:04:44 GMT", "version": "v1" } ]

2015-10-29

[ [ "Bena", "Iosif", "" ], [ "Heurtier", "Lucien", "" ], [ "Puhm", "Andrea", "" ] ]

It was argued in arXiv:1203.4227 that the five-dimensional near-horizon extremal Kerr (NHEK) geometry can be embedded in String Theory as the infrared region of an infinite family of non-supersymmetric geometries that have D1, D5, momentum and KK monopole charges. We show that there exists a method to embed these geometries into asymptotically-AdS_3 x S^3/Z_N solutions, and hence to obtain infinite families of flows whose infrared is NHEK. This indicates that the CFT dual to the NHEK geometry is the IR fixed point of a Renormalization Group flow from a known local UV CFT and opens the door to its explicit construction.

8.432883

7.656947

8.920962

7.270095

7.257938

7.69594

7.890768

8.12101

7.42681

10.687273

7.703143

7.355311

8.180254

7.490538

7.606377

7.387825

7.516423

7.327446

7.73316

8.293365

7.653145

hep-th/0609177

Stefan Zohren

S. Zohren

Analytic Results in 2D Causal Dynamical Triangulations: A Review

66 pages, 17 figures. Based on the author's thesis for the Master of Science in Theoretical Physics, supervised by R. Loll and co-supervised by J. Ambjorn, J. Jersak, July 2005

null

hep-th

null

We describe the motivation behind the recent formulation of a nonperturbative path integral for Lorentzian quantum gravity defined through Causal Dynamical Triangulations (CDT). In the case of two dimensions the model is analytically solvable, leading to a genuine continuum theory of quantum gravity whose ground state describes a two-dimensional "universe" completely governed by quantum fluctuations. One observes that two-dimensional Lorentzian and Euclidean quantum gravity are distinct. In the second part of the review we address the question of how to incorporate a sum over space-time topologies in the gravitational path integral. It is shown that, provided suitable causality restrictions are imposed on the path integral histories, there exists a well-defined nonperturbative gravitational path integral including an explicit sum over topologies in the setting of CDT. A complete analytical solution of the quantum continuum dynamics is obtained uniquely by means of a double scaling limit. We show that in the continuum limit there is a finite density of infinitesimal wormholes. Remarkably, the presence of wormholes leads to a decrease in the effective cosmological constant, reminiscent of the suppression mechanism considered by Coleman and others in the context of a Euclidean path integral formulation of four-dimensional quantum gravity in the continuum. In the last part of the review universality and certain generalizations of the original model are discussed, providing additional evidence that CDT define a genuine continuum theory of two-dimensional Lorentzian quantum gravity.

[ { "created": "Mon, 25 Sep 2006 22:26:24 GMT", "version": "v1" } ]

2007-05-23

[ [ "Zohren", "S.", "" ] ]

We describe the motivation behind the recent formulation of a nonperturbative path integral for Lorentzian quantum gravity defined through Causal Dynamical Triangulations (CDT). In the case of two dimensions the model is analytically solvable, leading to a genuine continuum theory of quantum gravity whose ground state describes a two-dimensional "universe" completely governed by quantum fluctuations. One observes that two-dimensional Lorentzian and Euclidean quantum gravity are distinct. In the second part of the review we address the question of how to incorporate a sum over space-time topologies in the gravitational path integral. It is shown that, provided suitable causality restrictions are imposed on the path integral histories, there exists a well-defined nonperturbative gravitational path integral including an explicit sum over topologies in the setting of CDT. A complete analytical solution of the quantum continuum dynamics is obtained uniquely by means of a double scaling limit. We show that in the continuum limit there is a finite density of infinitesimal wormholes. Remarkably, the presence of wormholes leads to a decrease in the effective cosmological constant, reminiscent of the suppression mechanism considered by Coleman and others in the context of a Euclidean path integral formulation of four-dimensional quantum gravity in the continuum. In the last part of the review universality and certain generalizations of the original model are discussed, providing additional evidence that CDT define a genuine continuum theory of two-dimensional Lorentzian quantum gravity.

7.737618

7.692309

7.830699

7.504301

7.718528

7.829666

7.662232

7.418381

7.461697

8.397219

7.270461

7.384581

7.535768

7.276527

7.635162

7.652683

7.465261

7.474297

7.384654

7.687146

7.433484

hep-th/9712170

Argurio Riccardo

R. Argurio

Intersection Rules and Open Branes

12 pages, Latex, uses crckapb.sty. To appear in the proceedings of the Cargese '97 summer school

null

ULB-TH-97/21

hep-th

null

A general rule determining how extremal branes can intersect in a configuration with zero binding energy is presented. It is derived in a model independent way and without explicit use of supersymmetry, solving a set of classical equations of motion. When specializing to M and type II theories, it is shown that some intersection rules can be consistently interpreted as boundary rules for open branes ending on other branes.

[ { "created": "Wed, 17 Dec 1997 11:54:18 GMT", "version": "v1" } ]

2007-05-23

[ [ "Argurio", "R.", "" ] ]

A general rule determining how extremal branes can intersect in a configuration with zero binding energy is presented. It is derived in a model independent way and without explicit use of supersymmetry, solving a set of classical equations of motion. When specializing to M and type II theories, it is shown that some intersection rules can be consistently interpreted as boundary rules for open branes ending on other branes.

17.41181

14.054319

16.50647

13.166557

14.645838

15.217077

12.607185

12.909849

13.886436

18.559324

13.971313

13.216316

15.060318

13.954817

13.759905

13.242619

13.649076

13.078012

13.508408

15.99801

13.553834

0801.3402

Bhupendra Nath Tiwari

On Generalized Uncertainty Principle

29 pages, Latex

null

hep-th math-ph math.MP

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

We study generalized uncertainty principle through the basic concepts of limit and Fourier transformation and analyze both the quantum theory of gravity and string theory from the perspective of complex function theory. Motivated from the noncommutative nature of string theory, we have proposed a UV/IR mixing dependent function $ \tilde{\delta}(\Delta x,\Delta k, \epsilon) $. For a given $ \tilde{\delta}(\Delta x,\Delta k, \epsilon) $, we arrived at the string uncertainty principle from the analyticity condition of a complex function, which depends upon UV cut-off of the theory. This non trivially modifies the quantum measurements, black hole physics and short distance geometries. The present analysis is based on the postulate that the Planck scale is the minimal length scale in nature. Furthermore, our consideration is in perfect agreement with the existence of the maximum length scale in nature. Both of the above length scales rely only upon the analysis of $ \tilde{\delta}(\Delta x,\Delta k, \epsilon) $ and do not directly make use of any specific structure of the theory or Hamiltonian. The Regge behavior of the string spectrum and the quantization of the horizon area of a black hole are natural consequences of the function $ \tilde{\delta}(\Delta x,\Delta k, \epsilon) $. It is hereby anticipated that $ \tilde{\delta}(\Delta x,\Delta k, \epsilon) $ contains all possible corrections operating in nature, and thus a promising possibility to reveal important clues towards the geometric origin of $M$-theory.

[ { "created": "Tue, 22 Jan 2008 16:23:03 GMT", "version": "v1" }, { "created": "Tue, 20 Sep 2011 21:57:00 GMT", "version": "v2" } ]

2011-09-22

[ [ "Tiwari", "Bhupendra Nath", "" ] ]

We study generalized uncertainty principle through the basic concepts of limit and Fourier transformation and analyze both the quantum theory of gravity and string theory from the perspective of complex function theory. Motivated from the noncommutative nature of string theory, we have proposed a UV/IR mixing dependent function $ \tilde{\delta}(\Delta x,\Delta k, \epsilon) $. For a given $ \tilde{\delta}(\Delta x,\Delta k, \epsilon) $, we arrived at the string uncertainty principle from the analyticity condition of a complex function, which depends upon UV cut-off of the theory. This non trivially modifies the quantum measurements, black hole physics and short distance geometries. The present analysis is based on the postulate that the Planck scale is the minimal length scale in nature. Furthermore, our consideration is in perfect agreement with the existence of the maximum length scale in nature. Both of the above length scales rely only upon the analysis of $ \tilde{\delta}(\Delta x,\Delta k, \epsilon) $ and do not directly make use of any specific structure of the theory or Hamiltonian. The Regge behavior of the string spectrum and the quantization of the horizon area of a black hole are natural consequences of the function $ \tilde{\delta}(\Delta x,\Delta k, \epsilon) $. It is hereby anticipated that $ \tilde{\delta}(\Delta x,\Delta k, \epsilon) $ contains all possible corrections operating in nature, and thus a promising possibility to reveal important clues towards the geometric origin of $M$-theory.

9.218943

9.908794

9.506432

9.152266

9.766886

9.193477

8.889338

9.645754

9.00996

9.977359

9.006625

9.197536

9.205487

9.076139

9.050351

9.078544

9.215735

9.071644

9.311399

9.162278

8.921069

1408.1514

Christopher Pope

H. Lu, C.N. Pope and Qiang Wen

Thermodynamics of AdS Black Holes in Einstein-Scalar Gravity

42 pages, 2 figures. Version published in JHEP, plus a "Note Added" expanding on our definition of "mass" via the first law

JHEP 1503 (2015) 165

null

MIFPA-14-23

hep-th gr-qc

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

We study the thermodynamics of $n$-dimensional static asymptotically AdS black holes in Einstein gravity coupled to a scalar field with a potential admitting a stationary point with an AdS vacuum. Such black holes with non-trivial scalar hair can exist provided that the mass-squared of the scalar field is negative, and above the Breitenlohner-Freedman bound. We use the Wald procedure to derive the first law of thermodynamics for these black holes, showing how the scalar hair (or "charge") contributes non-trivially in the expression. We show in general that a black hole mass can be deduced by isolating an integrable contribution to the (non-integrable) variation of the Hamiltonian arising in the Wald construction, and that this is consistent with the mass calculated using the renormalised holographic stress tensor and also, in those cases where it is defined, with the mass calculated using the conformal method of Ashtekar, Magnon and Das. Similar arguments can also be given for the smooth solitonic solutions in these theories. Neither the black hole nor the soliton solutions can be constructed explicitly, and we carry out a numerical analysis to demonstrate their existence and to provide approximate checks on some of our thermodynamic results.

[ { "created": "Thu, 7 Aug 2014 08:41:50 GMT", "version": "v1" }, { "created": "Wed, 8 Jul 2015 08:13:19 GMT", "version": "v2" } ]

2015-07-09

[ [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ], [ "Wen", "Qiang", "" ] ]

We study the thermodynamics of $n$-dimensional static asymptotically AdS black holes in Einstein gravity coupled to a scalar field with a potential admitting a stationary point with an AdS vacuum. Such black holes with non-trivial scalar hair can exist provided that the mass-squared of the scalar field is negative, and above the Breitenlohner-Freedman bound. We use the Wald procedure to derive the first law of thermodynamics for these black holes, showing how the scalar hair (or "charge") contributes non-trivially in the expression. We show in general that a black hole mass can be deduced by isolating an integrable contribution to the (non-integrable) variation of the Hamiltonian arising in the Wald construction, and that this is consistent with the mass calculated using the renormalised holographic stress tensor and also, in those cases where it is defined, with the mass calculated using the conformal method of Ashtekar, Magnon and Das. Similar arguments can also be given for the smooth solitonic solutions in these theories. Neither the black hole nor the soliton solutions can be constructed explicitly, and we carry out a numerical analysis to demonstrate their existence and to provide approximate checks on some of our thermodynamic results.

6.47545

6.878478

7.814494

6.902217

7.340501

6.745026

7.034964

6.777087

6.478929

8.57475

6.694412

6.478184

6.884172

6.694198

6.758268

6.762837

6.574439

6.749837

6.572509

7.038013

6.605479

0807.3664

Jesper Grimstrup

Johannes Aastrup, Jesper M. Grimstrup, Ryszard Nest

A new spectral triple over a space of connections

14 pages, 5 figures

Commun.Math.Phys.290:389-398,2009

10.1007/s00220-009-0758-8

null

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

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

A new construction of a semifinite spectral triple on an algebra of holonomy loops is presented. The construction is canonically associated to quantum gravity and is an alternative version of the spectral triple presented in hep-th/08021784.

[ { "created": "Wed, 23 Jul 2008 13:37:54 GMT", "version": "v1" } ]

2011-03-02

[ [ "Aastrup", "Johannes", "" ], [ "Grimstrup", "Jesper M.", "" ], [ "Nest", "Ryszard", "" ] ]

A new construction of a semifinite spectral triple on an algebra of holonomy loops is presented. The construction is canonically associated to quantum gravity and is an alternative version of the spectral triple presented in hep-th/08021784.

20.069946

14.730745

19.600395

17.243322

16.120623

19.027861

19.211792

16.30393

14.041673

34.731441

13.822432

14.183365

15.558553

16.069942

15.096621

14.664877

15.477019

15.336387

15.672174

17.941927

14.282722

hep-th/9506091

Per Berglund

P. Berglund, S. Katz and A. Klemm

Mirror Symmetry and the Moduli Space for Generic Hypersurfaces in Toric Varieties

54 pages, use harvmac and epsf, one uuencoded figure

Nucl.Phys.B456:153-204,1995

10.1016/0550-3213(95)00434-2

CERN-TH-7528/95; IASSNS-HEP-94/106; OSU Math 1994-3

hep-th alg-geom math.AG

null

The moduli dependence of $(2,2)$ superstring compactifications based on Calabi--Yau hypersurfaces in weighted projective space has so far only been investigated for Fermat-type polynomial constraints. These correspond to Landau-Ginzburg orbifolds with $c=9$ whose potential is a sum of $A$-type singularities. Here we consider the generalization to arbitrary quasi-homogeneous singularities at $c=9$. We use mirror symmetry to derive the dependence of the models on the complexified K\"ahler moduli and check the expansions of some topological correlation functions against explicit genus zero and genus one instanton calculations. As an important application we give examples of how non-algebraic (``twisted'') deformations can be mapped to algebraic ones, hence allowing us to study the full moduli space. We also study how moduli spaces can be nested in each other, thus enabling a (singular) transition from one theory to another. Following the recent work of Greene, Morrison and Strominger we show that this corresponds to black hole condensation in type II string theories compactified on Calabi-Yau manifolds.

[ { "created": "Wed, 14 Jun 1995 05:43:04 GMT", "version": "v1" } ]

2014-11-18

[ [ "Berglund", "P.", "" ], [ "Katz", "S.", "" ], [ "Klemm", "A.", "" ] ]

The moduli dependence of $(2,2)$ superstring compactifications based on Calabi--Yau hypersurfaces in weighted projective space has so far only been investigated for Fermat-type polynomial constraints. These correspond to Landau-Ginzburg orbifolds with $c=9$ whose potential is a sum of $A$-type singularities. Here we consider the generalization to arbitrary quasi-homogeneous singularities at $c=9$. We use mirror symmetry to derive the dependence of the models on the complexified K\"ahler moduli and check the expansions of some topological correlation functions against explicit genus zero and genus one instanton calculations. As an important application we give examples of how non-algebraic (``twisted'') deformations can be mapped to algebraic ones, hence allowing us to study the full moduli space. We also study how moduli spaces can be nested in each other, thus enabling a (singular) transition from one theory to another. Following the recent work of Greene, Morrison and Strominger we show that this corresponds to black hole condensation in type II string theories compactified on Calabi-Yau manifolds.

7.817693

8.706071

9.85398

8.25246

8.259428

8.081003

8.412811

7.706865

7.662973

10.875582

7.628921

7.54842

8.604344

7.414578

7.747419

7.862685

7.77266

7.712134

7.724948

8.557129

7.781161

2302.12776

Jungwon Lim

Johannes M. Henn, Jungwon Lim, William J. Torres Bobadilla

First look at the evaluation of three-loop non-planar Feynman diagrams for Higgs plus jet production

13 pages, 4 figures, 630 integrals

null

10.1007/JHEP05(2023)026

MPP-2023-35

hep-th hep-ph

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

We present new computations for Feynman integrals relevant to Higgs plus jet production at three loops, including first results for a non-planar class of integrals. The results are expressed in terms of generalised polylogarithms up to transcendental weight six. We also provide the full canonical differential equations, which allows us to make structural observations on the answer. In particular, we find a counterexample to previously conjectured adjacency relations, for a planar integral of the tennis-court type. Additionally, for a non-planar triple ladder diagram, we find two novel alphabet letters. This information may be useful for future bootstrap approaches.

[ { "created": "Fri, 24 Feb 2023 17:45:25 GMT", "version": "v1" } ]

2023-05-24

[ [ "Henn", "Johannes M.", "" ], [ "Lim", "Jungwon", "" ], [ "Bobadilla", "William J. Torres", "" ] ]

We present new computations for Feynman integrals relevant to Higgs plus jet production at three loops, including first results for a non-planar class of integrals. The results are expressed in terms of generalised polylogarithms up to transcendental weight six. We also provide the full canonical differential equations, which allows us to make structural observations on the answer. In particular, we find a counterexample to previously conjectured adjacency relations, for a planar integral of the tennis-court type. Additionally, for a non-planar triple ladder diagram, we find two novel alphabet letters. This information may be useful for future bootstrap approaches.

11.601498

11.526858

11.657462

10.794052

10.762278

11.870061

12.262096

11.740842

11.138144

12.037071

11.29947

11.369742

10.920528

11.035382

11.170823

11.680378

11.04802

11.259113

10.860339

11.383346

11.302518

2101.05117

Edoardo Vescovi

The four-point function of determinant operators in $\mathcal{N}=4$ SYM

9 pages, 1 figure, matching published version

Phys. Rev. D 103, 106001 (2021)

10.1103/PhysRevD.103.106001

null

hep-th

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

We calculate the four-point function of $1/2$-BPS determinant operators in $\mathcal{N}=4$ SYM at next-to-leading order at weak coupling. We use two complementary methods recently developed for a class of determinant three-point functions: one is based on Feynman diagrams and it extracts perturbative data at finite $N$, while the other one expresses a generic correlator of determinants as the zero-dimensional integral over an auxiliary matrix field. We generalise the latter approach to calculate one-loop corrections and we solve the four-point function in a semi-classical approach at large $N$. The results allow to comment on the order of the phase transition that the four-point function is expected to exhibit in an exact integrability-based description.

[ { "created": "Wed, 13 Jan 2021 15:12:59 GMT", "version": "v1" }, { "created": "Tue, 4 May 2021 23:10:18 GMT", "version": "v2" } ]

2021-05-12

[ [ "Vescovi", "Edoardo", "" ] ]

We calculate the four-point function of $1/2$-BPS determinant operators in $\mathcal{N}=4$ SYM at next-to-leading order at weak coupling. We use two complementary methods recently developed for a class of determinant three-point functions: one is based on Feynman diagrams and it extracts perturbative data at finite $N$, while the other one expresses a generic correlator of determinants as the zero-dimensional integral over an auxiliary matrix field. We generalise the latter approach to calculate one-loop corrections and we solve the four-point function in a semi-classical approach at large $N$. The results allow to comment on the order of the phase transition that the four-point function is expected to exhibit in an exact integrability-based description.

9.799745

8.996489

11.087348

8.945344

9.027723

8.138802

8.805424

9.287035

8.338549

11.623597

8.255898

8.805964

9.985769

9.068887

9.23044

9.145257

9.316424

9.182535

8.970523

9.83144

9.346757

hep-th/9407163

null

W.A. Sabra, O.A. Soloviev and S. Thomas

Towards c=0 Flows

LaTex file, 11 pages, QMW Preprint, QMW 94-21

Phys.Lett. B338 (1994) 169-174

10.1016/0370-2693(94)91362-5

null

hep-th

null

We discuss some implications of the gravitational dressing of the renormalization group for conformal field theories perturbed by relevant operators. The renormalization group flows are defined with respect to the dilatation operator associated with the $J_0^{(0)}$ mode of the $SL(2,R)$ affine algebra. We discuss the possibility of passing under the $c=25$ barrier along renormalization group flows in some models.

[ { "created": "Mon, 25 Jul 1994 20:07:21 GMT", "version": "v1" } ]

2009-10-28

[ [ "Sabra", "W. A.", "" ], [ "Soloviev", "O. A.", "" ], [ "Thomas", "S.", "" ] ]

We discuss some implications of the gravitational dressing of the renormalization group for conformal field theories perturbed by relevant operators. The renormalization group flows are defined with respect to the dilatation operator associated with the $J_0^{(0)}$ mode of the $SL(2,R)$ affine algebra. We discuss the possibility of passing under the $c=25$ barrier along renormalization group flows in some models.

9.425283

9.190619

11.233014

8.969667

9.652517

9.442019

9.054636

8.676578

8.17658

12.340673

8.486688

8.786228

9.759281

9.097739

9.344486

9.322948

8.890516

9.188146

8.918554

9.678141

8.935399

0907.4503

Paul Chesler

Paul M. Chesler

Gauge/gravity duality and jets in strongly coupled plasma

8 pages, 4 figures - Minor formatting adjustments. To appear in the conference proceedings for Quark Matter 2009, March 30 - April 4, Knoxville, Tennessee

Nucl.Phys.A830:115c-122c,2009

10.1016/j.nuclphysa.2009.10.088

null

hep-th

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

We discuss jets in strongly coupled N = 4 supersymmetric Yang-Mills plasma and their dual gravitational description.

[ { "created": "Sun, 26 Jul 2009 18:00:23 GMT", "version": "v1" }, { "created": "Thu, 8 Oct 2009 16:34:52 GMT", "version": "v2" } ]

2009-11-18

[ [ "Chesler", "Paul M.", "" ] ]

We discuss jets in strongly coupled N = 4 supersymmetric Yang-Mills plasma and their dual gravitational description.

12.062498

7.610977

8.131267

7.689676

7.458858

6.687496

6.319109

6.846018

7.376037

10.768768

7.844888

9.887494

10.514493

9.180249

9.33628

9.331411

9.019656

9.159057

9.090209

10.240134

9.686137

1905.13361

Clay C\'ordova

Clay Cordova, Daniel S. Freed, Ho Tat Lam, Nathan Seiberg

Anomalies in the Space of Coupling Constants and Their Dynamical Applications II

43 pages, 4 tables. v2 minor corrections and additional references. v3 published version

SciPost Phys. 8, 002 (2020)

10.21468/SciPostPhys.8.1.002

null

hep-th cond-mat.str-el math-ph math.AT math.MP

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

We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply connected gauge group has a mixed anomaly between its one-form global symmetry (associated with the center) and the periodicity of the $\theta$-parameter. This anomaly is at the root of many recently discovered properties of these theories, including their phase transitions and interfaces. These new anomalies can be used to extend this understanding to systems without discrete symmetries (such as time-reversal). We also study $SU(N)$ and $Sp(N)$ gauge theories with matter in the fundamental representation. Here we find a mixed anomaly between the flavor symmetry group and the $\theta$-periodicity. Again, this anomaly unifies distinct recently-discovered phenomena in these theories and controls phase transitions and the dynamics on interfaces.

[ { "created": "Fri, 31 May 2019 00:15:56 GMT", "version": "v1" }, { "created": "Thu, 25 Jul 2019 02:10:14 GMT", "version": "v2" }, { "created": "Wed, 30 Oct 2019 05:57:18 GMT", "version": "v3" } ]

2020-01-08

[ [ "Cordova", "Clay", "" ], [ "Freed", "Daniel S.", "" ], [ "Lam", "Ho Tat", "" ], [ "Seiberg", "Nathan", "" ] ]

We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply connected gauge group has a mixed anomaly between its one-form global symmetry (associated with the center) and the periodicity of the $\theta$-parameter. This anomaly is at the root of many recently discovered properties of these theories, including their phase transitions and interfaces. These new anomalies can be used to extend this understanding to systems without discrete symmetries (such as time-reversal). We also study $SU(N)$ and $Sp(N)$ gauge theories with matter in the fundamental representation. Here we find a mixed anomaly between the flavor symmetry group and the $\theta$-periodicity. Again, this anomaly unifies distinct recently-discovered phenomena in these theories and controls phase transitions and the dynamics on interfaces.

7.962109

7.798345

9.679236

7.413869

7.913655

8.059651

7.67486

8.020702

7.575513

9.197892

7.525536

7.55101

8.298896

7.555037

7.685384

7.238324

7.542816

7.312841

7.310793

8.535419

7.504429

hep-th/9407124

Jean-Yves Thibon

Israel Gelfand, D. Krob, Alain Lascoux, B. Leclerc, V. S. Retakh, J.-Y. Thibon

Noncommutative symmetric functions

111 pages

null

LITP 94.39

hep-th math.QA

null

This paper presents a noncommutative theory of symmetric functions, based on the notion of quasi-determinant. We begin with a formal theory, corresponding to the case of symmetric functions in an infinite number of independent variables. This allows us to endow the resulting algebra with a Hopf structure, which leads to a new method for computing in descent algebras. It also gives unified reinterpretation of a number of classical constructions. Next, we study the noncommutative analogs of symmetric polynomials. One arrives at different constructions, according to the particular kind of application under consideration. For example, when a polynomial with noncommutative coefficients in one central variable is decomposed as a product of linear factors, the roots of these factors differ from those of the expanded polynomial. Thus, according to whether one is interested in the construction of a polynomial with given roots or in the expansion of a product of linear factors, one has to consider two distinct specializations of the formal symmetric functions. A third type appears when one looks for a noncommutative generalization of applications related to the notion of characteristic polynomial of a matrix. This construction can be applied, for instance, to the noncommutative matrices formed by the generators of the universal enveloping algebra $U(gl_n)$ or of

[ { "created": "Wed, 20 Jul 1994 10:45:23 GMT", "version": "v1" } ]

2008-02-03

[ [ "Gelfand", "Israel", "" ], [ "Krob", "D.", "" ], [ "Lascoux", "Alain", "" ], [ "Leclerc", "B.", "" ], [ "Retakh", "V. S.", "" ], [ "Thibon", "J. -Y.", "" ] ]

This paper presents a noncommutative theory of symmetric functions, based on the notion of quasi-determinant. We begin with a formal theory, corresponding to the case of symmetric functions in an infinite number of independent variables. This allows us to endow the resulting algebra with a Hopf structure, which leads to a new method for computing in descent algebras. It also gives unified reinterpretation of a number of classical constructions. Next, we study the noncommutative analogs of symmetric polynomials. One arrives at different constructions, according to the particular kind of application under consideration. For example, when a polynomial with noncommutative coefficients in one central variable is decomposed as a product of linear factors, the roots of these factors differ from those of the expanded polynomial. Thus, according to whether one is interested in the construction of a polynomial with given roots or in the expansion of a product of linear factors, one has to consider two distinct specializations of the formal symmetric functions. A third type appears when one looks for a noncommutative generalization of applications related to the notion of characteristic polynomial of a matrix. This construction can be applied, for instance, to the noncommutative matrices formed by the generators of the universal enveloping algebra $U(gl_n)$ or of

7.956145

8.722413

8.987561

8.37194

9.206157

9.499356

9.253553

8.471183

8.563713

9.194928

8.356826

8.000853

8.393985

8.489568

8.274425

8.35875

8.564606

8.391351

8.252501

8.715794

8.086345

1105.3740

Matthew Roberts

Sergei Dubovsky, Albion Lawrence, and Matthew M. Roberts

Axion monodromy in a model of holographic gluodynamics

43 pages, 10 figures. v2: references updated

null

10.1007/JHEP02(2012)053

null

hep-th

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

The low energy field theory for N type IIA D4-branes at strong 't Hooft coupling, wrapped on a circle with antiperiodic boundary conditions for fermions, is known to have a vacuum energy which depends on the $\theta$ angle for the gauge fields, and which is a multivalued function of this angle. This gives a field-theoretic realization of "axion monodromy" for a nondynamical axion. We construct the supergravity solution dual to the field theory in the metastable state which is the adiabatic continuation of the vacuum to large values of $\theta$. We compute the energy of this state and show that it initially rises quadratically and then flattens out. We show that the glueball mass decreases with $\theta$, becoming much lower than the 5d KK scale governing the UV completion of this model. We construct two different classes of domain walls interpolating between adjacent vacua. We identify a number of instability modes -- nucleation of domain walls, bulk Casimir forces, and condensation of tachyonic winding modes in the bulk -- which indicate that the metastable branch eventually becomes unstable. Finally, we discuss two phenomena which can arise when the axion is dynamical; axion-driven inflation, and axion strings.

[ { "created": "Wed, 18 May 2011 20:08:40 GMT", "version": "v1" }, { "created": "Thu, 10 Nov 2011 16:23:14 GMT", "version": "v2" } ]

2015-05-28

[ [ "Dubovsky", "Sergei", "" ], [ "Lawrence", "Albion", "" ], [ "Roberts", "Matthew M.", "" ] ]

The low energy field theory for N type IIA D4-branes at strong 't Hooft coupling, wrapped on a circle with antiperiodic boundary conditions for fermions, is known to have a vacuum energy which depends on the $\theta$ angle for the gauge fields, and which is a multivalued function of this angle. This gives a field-theoretic realization of "axion monodromy" for a nondynamical axion. We construct the supergravity solution dual to the field theory in the metastable state which is the adiabatic continuation of the vacuum to large values of $\theta$. We compute the energy of this state and show that it initially rises quadratically and then flattens out. We show that the glueball mass decreases with $\theta$, becoming much lower than the 5d KK scale governing the UV completion of this model. We construct two different classes of domain walls interpolating between adjacent vacua. We identify a number of instability modes -- nucleation of domain walls, bulk Casimir forces, and condensation of tachyonic winding modes in the bulk -- which indicate that the metastable branch eventually becomes unstable. Finally, we discuss two phenomena which can arise when the axion is dynamical; axion-driven inflation, and axion strings.

8.583576

9.735637

9.596027

8.621125

8.725245

9.457195

8.790654

8.746638

8.435025

10.351278

8.507199

8.213755

8.440772

8.272375

8.439068

8.416301

8.282276

8.361049

8.219904

8.442677

8.348624

1901.10493

Gabriele Lo Monaco

Ivan Garozzo, Gabriele Lo Monaco and Noppadol Mekareeya

Variations on S-fold CFTs

v2: minor corrections and references added

null

10.1007/JHEP03(2019)171

null

hep-th

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

A local SL(2,Z) transformation on the Type IIB brane configuration gives rise to an interesting class of superconformal field theories, known as the S-fold CFTs. Previously it has been proposed that the corresponding quiver theory has a link involving the T(U(N)) theory. In this paper, we generalise the preceding result by studying quivers that contain a T(G) link, where G is self-dual under S-duality. In particular, the cases of G = SO(2N), USp'(2N) and G_2 are examined in detail. We propose the theories that arise from an appropriate insertion of an S-fold into a brane system, in the presence of an orientifold threeplane or an orientifold fiveplane. By analysing the moduli spaces, we test such a proposal against its S-dual configuration using mirror symmetry. The case of G_2 corresponds to a novel class of quivers, whose brane construction is not available. We present several mirror pairs, containing G_2 gauge groups, that have not been discussed before in the literature.

[ { "created": "Tue, 29 Jan 2019 19:00:03 GMT", "version": "v1" }, { "created": "Wed, 20 Feb 2019 09:43:20 GMT", "version": "v2" } ]

2019-05-01

[ [ "Garozzo", "Ivan", "" ], [ "Monaco", "Gabriele Lo", "" ], [ "Mekareeya", "Noppadol", "" ] ]

A local SL(2,Z) transformation on the Type IIB brane configuration gives rise to an interesting class of superconformal field theories, known as the S-fold CFTs. Previously it has been proposed that the corresponding quiver theory has a link involving the T(U(N)) theory. In this paper, we generalise the preceding result by studying quivers that contain a T(G) link, where G is self-dual under S-duality. In particular, the cases of G = SO(2N), USp'(2N) and G_2 are examined in detail. We propose the theories that arise from an appropriate insertion of an S-fold into a brane system, in the presence of an orientifold threeplane or an orientifold fiveplane. By analysing the moduli spaces, we test such a proposal against its S-dual configuration using mirror symmetry. The case of G_2 corresponds to a novel class of quivers, whose brane construction is not available. We present several mirror pairs, containing G_2 gauge groups, that have not been discussed before in the literature.

9.822867

8.447565

10.08076

8.490054

8.545528

8.645809

8.726007

8.677052

8.244831

11.079154

8.517465

9.097616

9.343596

8.65155

9.027306

8.619444

8.823462

8.892757

8.867418

9.486766

9.017594

0911.4408

David Turton

Yusuke Kimura, Sanjaye Ramgoolam, David Turton

Free particles from Brauer algebras in complex matrix models

64 pages, v2: Exposition improved, minor corrections; v3: Typos corrected, published version

JHEP 1005:052,2010

10.1007/JHEP05(2010)052

QMUL-PH-09-20

hep-th cond-mat.stat-mech math.RT

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

The gauge invariant degrees of freedom of matrix models based on an N x N complex matrix, with U(N) gauge symmetry, contain hidden free particle structures. These are exhibited using triangular matrix variables via the Schur decomposition. The Brauer algebra basis for complex matrix models developed earlier is useful in projecting to a sector which matches the state counting of N free fermions on a circle. The Brauer algebra projection is characterized by the vanishing of a scale invariant laplacian constructed from the complex matrix. The special case of N=2 is studied in detail: the ring of gauge invariant functions as well as a ring of scale and gauge invariant differential operators are characterized completely. The orthonormal basis of wavefunctions in this special case is completely characterized by a set of five commuting Hamiltonians, which display free particle structures. Applications to the reduced matrix quantum mechanics coming from radial quantization in N=4 SYM are described. We propose that the string dual of the complex matrix harmonic oscillator quantum mechanics has an interpretation in terms of strings and branes in 2+1 dimensions.

[ { "created": "Mon, 23 Nov 2009 17:02:04 GMT", "version": "v1" }, { "created": "Tue, 27 Apr 2010 20:22:28 GMT", "version": "v2" }, { "created": "Tue, 1 Jun 2010 19:26:49 GMT", "version": "v3" } ]

2010-06-02

[ [ "Kimura", "Yusuke", "" ], [ "Ramgoolam", "Sanjaye", "" ], [ "Turton", "David", "" ] ]

The gauge invariant degrees of freedom of matrix models based on an N x N complex matrix, with U(N) gauge symmetry, contain hidden free particle structures. These are exhibited using triangular matrix variables via the Schur decomposition. The Brauer algebra basis for complex matrix models developed earlier is useful in projecting to a sector which matches the state counting of N free fermions on a circle. The Brauer algebra projection is characterized by the vanishing of a scale invariant laplacian constructed from the complex matrix. The special case of N=2 is studied in detail: the ring of gauge invariant functions as well as a ring of scale and gauge invariant differential operators are characterized completely. The orthonormal basis of wavefunctions in this special case is completely characterized by a set of five commuting Hamiltonians, which display free particle structures. Applications to the reduced matrix quantum mechanics coming from radial quantization in N=4 SYM are described. We propose that the string dual of the complex matrix harmonic oscillator quantum mechanics has an interpretation in terms of strings and branes in 2+1 dimensions.

14.66328

15.340233

17.059982

14.088983

15.18257

14.236556

15.292306

14.935403

14.616288

18.368608

13.986613

14.163657

14.727463

14.251009

13.82399

13.578616

14.124618

14.001457

14.263427

14.80035

14.04083

1306.2058

Sever Amit

Benjamin Basso, Amit Sever and Pedro Vieira

Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data

73 pages, 42 figures. v2,v3: typos corrected

null

10.1007/JHEP01(2014)008

null

hep-th hep-ph

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

We elaborate on a non-perturbative formulation of scattering amplitudes/null polygonal Wilson loops in planar N=4 Super-Yang-Mills theory. The construction is based on a decomposition of the Wilson loop into elementary building blocks named pentagon transitions. Our discussion expands on a previous letter of the authors where these transitions were introduced and analyzed for the so-called gluonic excitations. In this paper we revisit these transitions and extend the analysis to the sector of scalar excitations. We restrict ourselves to the single particle transitions and bootstrap their finite coupling expressions using a set of axioms. Besides these considerations, the main focus of the paper is on the extraction of perturbative data from scattering amplitudes at weak coupling and its comparison against the proposed pentagon transitions. We present several tests for both the hexagon and heptagon (MHV and NMHV) amplitudes up to two- and three-loop orders. In attached notebooks we provide explicit higher-loop predictions obtained from our method.

[ { "created": "Sun, 9 Jun 2013 19:57:34 GMT", "version": "v1" }, { "created": "Mon, 25 Nov 2013 15:29:05 GMT", "version": "v2" }, { "created": "Fri, 14 Feb 2014 23:02:39 GMT", "version": "v3" } ]

2015-06-16

[ [ "Basso", "Benjamin", "" ], [ "Sever", "Amit", "" ], [ "Vieira", "Pedro", "" ] ]

We elaborate on a non-perturbative formulation of scattering amplitudes/null polygonal Wilson loops in planar N=4 Super-Yang-Mills theory. The construction is based on a decomposition of the Wilson loop into elementary building blocks named pentagon transitions. Our discussion expands on a previous letter of the authors where these transitions were introduced and analyzed for the so-called gluonic excitations. In this paper we revisit these transitions and extend the analysis to the sector of scalar excitations. We restrict ourselves to the single particle transitions and bootstrap their finite coupling expressions using a set of axioms. Besides these considerations, the main focus of the paper is on the extraction of perturbative data from scattering amplitudes at weak coupling and its comparison against the proposed pentagon transitions. We present several tests for both the hexagon and heptagon (MHV and NMHV) amplitudes up to two- and three-loop orders. In attached notebooks we provide explicit higher-loop predictions obtained from our method.

9.375544

9.409357

11.346013

8.54358

9.714663

8.603995

8.961683

8.966469

9.0652

11.541799

8.731044

8.817909

9.583555

8.782254

8.88035

8.632127

9.015111

8.928271

8.767525

9.3362

8.889557

hep-th/9901123

Andrea Gregori

A. Gregori, C. Kounnas and J. Rizos

Classification of the N=2, Z2 X Z2-symmetric type II orbifolds and their type II asymmetric duals

Latex, 47 pages, no figures

Nucl.Phys. B549 (1999) 16-62

10.1016/S0550-3213(99)00135-2

null

hep-th

null

Using free world-sheet fermions, we construct and classify all the N=2, Z2 X Z2 four-dimensional orbifolds of the type IIA/B strings for which the orbifold projections act symmetrically on the left and right movers. We study the deformations of these models out of the fermionic point, deriving the partition functions at a generic point in the moduli of the internal torus T6=T2 X T2 X T2. We investigate some of their perturbative and non-perturbative dualities and construct new dual pairs of type IIA/type II asymmetric orbifolds, which are related non-perturbatively and allow us to gain insight into some of the non-perturbative properties of the type IIA/B strings in four dimensions. In particular, we consider some of the (non-)perturbative gravitational corrections.

[ { "created": "Mon, 25 Jan 1999 21:30:17 GMT", "version": "v1" } ]

2009-10-31

[ [ "Gregori", "A.", "" ], [ "Kounnas", "C.", "" ], [ "Rizos", "J.", "" ] ]

Using free world-sheet fermions, we construct and classify all the N=2, Z2 X Z2 four-dimensional orbifolds of the type IIA/B strings for which the orbifold projections act symmetrically on the left and right movers. We study the deformations of these models out of the fermionic point, deriving the partition functions at a generic point in the moduli of the internal torus T6=T2 X T2 X T2. We investigate some of their perturbative and non-perturbative dualities and construct new dual pairs of type IIA/type II asymmetric orbifolds, which are related non-perturbatively and allow us to gain insight into some of the non-perturbative properties of the type IIA/B strings in four dimensions. In particular, we consider some of the (non-)perturbative gravitational corrections.

8.928546

8.829132

9.976276

8.232323

8.157066

8.335786

8.373348

8.662444

8.235065

10.795311

8.233005

8.494289

9.453405

8.250758

8.322399

8.455821

8.092448

8.349138

8.28313

9.222594

8.23018

1710.01972

Alessia Platania

Alessia Platania, Frank Saueressig

Functional Renormalization Group flows on Friedman-Lema\^{\i}tre-Robertson-Walker backgrounds

14 pages, 2 figures

null

10.1007/s10701-018-0181-0

null

hep-th gr-qc

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

We reanalyze the construction of the gravitational functional renormalization group equation tailored to the Arnowitt-Deser-Misner formulation emphasizing its connection to the covariant formulation. The results obtained from projecting the renormalization group flow onto the Einstein-Hilbert action are reviewed in detail and we provide a novel example illustrating how the formalism may be connected to the Causal Dynamical Triangulations approach to quantum gravity.

[ { "created": "Thu, 5 Oct 2017 11:38:51 GMT", "version": "v1" } ]

2018-07-04

[ [ "Platania", "Alessia", "" ], [ "Saueressig", "Frank", "" ] ]

We reanalyze the construction of the gravitational functional renormalization group equation tailored to the Arnowitt-Deser-Misner formulation emphasizing its connection to the covariant formulation. The results obtained from projecting the renormalization group flow onto the Einstein-Hilbert action are reviewed in detail and we provide a novel example illustrating how the formalism may be connected to the Causal Dynamical Triangulations approach to quantum gravity.

9.794603

8.256303

8.693698

8.01466

9.058542

8.250567

7.572095

8.318026

9.200103

9.360262

8.200857

8.633437

8.728962

8.412547

8.625286

8.6182

8.651791

8.311668

8.672739

8.795235

8.729734

1706.09344

Chandrasekhar Bhamidipati

Chandrasekhar Bhamidipati and Pavan Kumar Yerra

A Note on Gauss-Bonnet Black Holes at Criticality

14 pages, 17 figures

null

10.1016/j.physletb.2017.07.052

null

hep-th

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

With in the extended thermodynamics, we give a comparative study of critical heat engines for Gauss-Bonnet and charged black holes in AdS in five dimensions, in the limit of large Gauss-Bonnet parameter $\alpha$ and charge $q$, respectively. We show that the approach of efficiency of heat engines to Carnot limit in Gauss-Bonnet black holes is higher(lower) than charged black holes when corresponding parameters are small(large).

[ { "created": "Wed, 28 Jun 2017 16:10:13 GMT", "version": "v1" } ]

2017-10-11

[ [ "Bhamidipati", "Chandrasekhar", "" ], [ "Yerra", "Pavan Kumar", "" ] ]

With in the extended thermodynamics, we give a comparative study of critical heat engines for Gauss-Bonnet and charged black holes in AdS in five dimensions, in the limit of large Gauss-Bonnet parameter $\alpha$ and charge $q$, respectively. We show that the approach of efficiency of heat engines to Carnot limit in Gauss-Bonnet black holes is higher(lower) than charged black holes when corresponding parameters are small(large).

13.215166

9.835409

11.364059

9.94843

10.99519

10.697373

10.669744

9.312902

9.393403

14.580287

10.28592

11.232141

12.070775

11.703356

11.405312

11.540269

11.04198

10.828377

12.091361

12.142093

11.5905

hep-th/9811228

Wolfgang Lerche

W. Lerche, S. Stieberger and N.P. Warner

Quartic Gauge Couplings from K3 Geometry

32 p, harvmac; One footnote on page 11 extended; results unchanged; Version subm. to ATMP

Adv.Theor.Math.Phys.3:1575-1611,1999

null

CERN-TH/98-378

hep-th

null

We show how certain F^4 couplings in eight dimensions can be computed using the mirror map and K3 data. They perfectly match with the corresponding heterotic one-loop couplings, and therefore this amounts to a successful test of the conjectured duality between the heterotic string on T^2 and F-theory on K3. The underlying quantum geometry appears to be a 5-fold, consisting of a hyperk"ahler 4-fold fibered over a IP^1 base. The natural candidate for this fiber is the symmetric product Sym^2(K3). We are lead to this structure by analyzing the implications of higher powers of E_2 in the relevant Borcherds counting functions, and in particular the appropriate generalizations of the Picard-Fuchs equations for the K3.

[ { "created": "Thu, 26 Nov 1998 17:30:54 GMT", "version": "v1" }, { "created": "Wed, 8 Dec 1999 23:55:43 GMT", "version": "v2" }, { "created": "Mon, 27 Dec 1999 21:54:26 GMT", "version": "v3" } ]

2010-11-26

[ [ "Lerche", "W.", "" ], [ "Stieberger", "S.", "" ], [ "Warner", "N. P.", "" ] ]

We show how certain F^4 couplings in eight dimensions can be computed using the mirror map and K3 data. They perfectly match with the corresponding heterotic one-loop couplings, and therefore this amounts to a successful test of the conjectured duality between the heterotic string on T^2 and F-theory on K3. The underlying quantum geometry appears to be a 5-fold, consisting of a hyperk"ahler 4-fold fibered over a IP^1 base. The natural candidate for this fiber is the symmetric product Sym^2(K3). We are lead to this structure by analyzing the implications of higher powers of E_2 in the relevant Borcherds counting functions, and in particular the appropriate generalizations of the Picard-Fuchs equations for the K3.

13.262262

11.582506

16.479649

11.48621

12.617783

11.63335

12.11769

11.648966

11.622495

15.316468

11.470993

11.323184

13.040333

11.745369

11.701371

11.473365

11.387626

11.736898

11.669463

13.407532

11.583452

1009.1212

Takuya Saka

Katsushi Ito, Hiroaki Nakajima, Takuya Saka and Shin Sasaki

N=2 Instanton Effective Action in Omega-background and D3/D(-1)-brane System in R-R Background

35 pages, no figures, references added

JHEP1011 (2010) 093

10.1007/JHEP11(2010)093

TIT/HEP-606, KIAS-P10027

hep-th

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

We study the relation between the ADHM construction of instantons in the Omega-background and the fractional D3/D(-1)-branes at the orbifold singularity of C \times C^2/Z_2 in Ramond-Ramond (R-R) 3-form field strength background. We calculate disk amplitudes of open strings connecting the D3/D(-1)-branes in certain R-R background to obtain the D(-1)-brane effective action deformed by the R-R background. We show that the deformed D(-1)-brane effective action agrees with the instanton effective action in the Omega-background.

[ { "created": "Tue, 7 Sep 2010 07:29:17 GMT", "version": "v1" }, { "created": "Thu, 10 Mar 2011 06:57:24 GMT", "version": "v2" } ]

2015-05-19

[ [ "Ito", "Katsushi", "" ], [ "Nakajima", "Hiroaki", "" ], [ "Saka", "Takuya", "" ], [ "Sasaki", "Shin", "" ] ]

We study the relation between the ADHM construction of instantons in the Omega-background and the fractional D3/D(-1)-branes at the orbifold singularity of C \times C^2/Z_2 in Ramond-Ramond (R-R) 3-form field strength background. We calculate disk amplitudes of open strings connecting the D3/D(-1)-branes in certain R-R background to obtain the D(-1)-brane effective action deformed by the R-R background. We show that the deformed D(-1)-brane effective action agrees with the instanton effective action in the Omega-background.

5.267033

4.536764

6.29741

4.619531

4.548217

4.545402

4.202239

4.697227

4.603913

6.339539

4.637242

4.995937

5.451137

4.903847

5.050578

4.955575

4.990903

4.931097

4.94628

5.351031

4.857547

hep-th/0702098

Masato Minamitsuji

Emilio Elizalde, Masato Minamitsuji and Wade Naylor

Casimir effect in rugby-ball type flux compactifications

13 pages, 6 figures, accepted for publication in PRD

Phys.Rev.D75:064032,2007

10.1103/PhysRevD.75.064032

null

hep-th astro-ph gr-qc

null

As a continuation of the work in \cite{mns}, we discuss the Casimir effect for a massless bulk scalar field in a 4D toy model of a 6D warped flux compactification model,to stabilize the volume modulus. The one-loop effective potential for the volume modulus has a form similar to the Coleman-Weinberg potential. The stability of the volume modulus against quantum corrections is related to an appropriate heat kernel coefficient. However, to make any physical predictions after volume stabilization, knowledge of the derivative of the zeta function, $\zeta'(0)$ (in a conformally related spacetime) is also required. By adding up the exact mass spectrum using zeta function regularization, we present a revised analysis of the effective potential. Finally, we discuss some physical implications, especially concerning the degree of the hierarchy between the fundamental energy scales on the branes. For a larger degree of warping our new results are very similar to the previous ones \cite{mns} and imply a larger hierarchy. In the non-warped (rugby-ball) limit the ratio tends to converge to the same value, independently of the bulk dilaton coupling.

[ { "created": "Tue, 13 Feb 2007 10:05:53 GMT", "version": "v1" }, { "created": "Tue, 20 Feb 2007 19:22:49 GMT", "version": "v2" }, { "created": "Sat, 24 Mar 2007 15:53:13 GMT", "version": "v3" } ]

2008-11-26

[ [ "Elizalde", "Emilio", "" ], [ "Minamitsuji", "Masato", "" ], [ "Naylor", "Wade", "" ] ]

As a continuation of the work in \cite{mns}, we discuss the Casimir effect for a massless bulk scalar field in a 4D toy model of a 6D warped flux compactification model,to stabilize the volume modulus. The one-loop effective potential for the volume modulus has a form similar to the Coleman-Weinberg potential. The stability of the volume modulus against quantum corrections is related to an appropriate heat kernel coefficient. However, to make any physical predictions after volume stabilization, knowledge of the derivative of the zeta function, $\zeta'(0)$ (in a conformally related spacetime) is also required. By adding up the exact mass spectrum using zeta function regularization, we present a revised analysis of the effective potential. Finally, we discuss some physical implications, especially concerning the degree of the hierarchy between the fundamental energy scales on the branes. For a larger degree of warping our new results are very similar to the previous ones \cite{mns} and imply a larger hierarchy. In the non-warped (rugby-ball) limit the ratio tends to converge to the same value, independently of the bulk dilaton coupling.

12.274677

11.634491

12.117652

11.702549

12.613605

12.574205

11.815028

11.266598

11.117198

12.899539

11.871261

11.745052

11.906199

11.676881

11.537683

11.532034

11.515678

11.539798

11.575623

11.91518

11.782392

1103.0692

Andelka Andrasi

A. Andrasi

Linear energy divergences in Coulomb gauge QCD

6 pages, 1 figure

null

10.1142/S0217732311036231

null

hep-th

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

The structure of linear energy divergences is analysed on the example of one graph to 3-loop order. Such dangerous divergences do cancel when all graphs are added, but next to leading divergences do not cancel out.

[ { "created": "Thu, 3 Mar 2011 14:22:45 GMT", "version": "v1" } ]

2015-05-27

[ [ "Andrasi", "A.", "" ] ]

The structure of linear energy divergences is analysed on the example of one graph to 3-loop order. Such dangerous divergences do cancel when all graphs are added, but next to leading divergences do not cancel out.

25.364208

20.59601

19.172447

17.800138

18.868324

21.436831

20.651514

17.090429

16.37816

22.136711

20.445488

20.305052

17.753939

17.754997

18.488556

20.965588

19.838669

20.899805

18.151754

18.283712

21.734219

2212.07370

James Bonifacio

James Bonifacio, Harry Goodhew, Austin Joyce, Enrico Pajer, David Stefanyszyn

The graviton four-point function in de Sitter space

46 pages

null

10.1007/JHEP06(2023)212

null

hep-th astro-ph.CO gr-qc

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

We compute the tree-level late-time graviton four-point correlation function, and the related quartic wavefunction coefficient, for Einstein gravity in de Sitter spacetime. We derive this result in several ways: by direct calculation, using the in-in formalism and the wavefunction of the universe; by a heuristic derivation leveraging the flat space wavefunction coefficient; and by using the boostless cosmological bootstrap, in particular the combination of the cosmological optical theorem, the amplitude limit, and the manifestly local test. We find agreement among the different methods.

[ { "created": "Wed, 14 Dec 2022 17:47:11 GMT", "version": "v1" } ]

2023-07-26

[ [ "Bonifacio", "James", "" ], [ "Goodhew", "Harry", "" ], [ "Joyce", "Austin", "" ], [ "Pajer", "Enrico", "" ], [ "Stefanyszyn", "David", "" ] ]

We compute the tree-level late-time graviton four-point correlation function, and the related quartic wavefunction coefficient, for Einstein gravity in de Sitter spacetime. We derive this result in several ways: by direct calculation, using the in-in formalism and the wavefunction of the universe; by a heuristic derivation leveraging the flat space wavefunction coefficient; and by using the boostless cosmological bootstrap, in particular the combination of the cosmological optical theorem, the amplitude limit, and the manifestly local test. We find agreement among the different methods.

14.097077

10.10279

15.576584

10.84059

10.917958

10.707998

11.409795

11.374973

10.33746

15.304659

11.612503

12.018193

13.737376

12.852997

12.13073

12.644706

12.399638

12.934299

12.519366

13.035766

11.563967

hep-th/9811161

Tekin Dereli

A.H.Bilge (ITU), T.Dereli (METU), S.Kocak (Anadolu U.)

Monopole equations on 8-manifolds with Spin(7) holonomy

14 pages, LATEX (No figures)

Commun.Math.Phys. 203 (1999) 21-30

10.1007/s002200050024

null

hep-th

null

We construct a consistent set of monopole equations on eight-manifolds with Spin(7) holonomy. These equations are elliptic and admit non-trivial solutions including all the 4-dimensional Seiberg-Witten solutions as a special case.

[ { "created": "Tue, 17 Nov 1998 09:18:22 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bilge", "A. H.", "", "ITU" ], [ "Dereli", "T.", "", "METU" ], [ "Kocak", "S.", "", "Anadolu U." ] ]

We construct a consistent set of monopole equations on eight-manifolds with Spin(7) holonomy. These equations are elliptic and admit non-trivial solutions including all the 4-dimensional Seiberg-Witten solutions as a special case.

7.858535

6.681818

10.053202

6.654954

6.57144

6.574668

6.085097

6.35499

6.444286

9.71224

6.722883

6.705958

6.9978

6.739815

6.722729

6.913061

6.573514

6.484694

6.765839

7.291936

6.718125

hep-th/0007189

Noah Graham

E. Farhi, N. Graham, R. L. Jaffe, and H. Weigel

Fractional and Integer Charges from Levinson's Theorem

16 pages, uses RevTex, 1 figure; v2: minor corrections

Nucl.Phys. B595 (2001) 536-550

10.1016/S0550-3213(00)00665-9

MIT-CTP-3004

hep-th

null

We compute fractional and integer fermion quantum numbers of static background field configurations using phase shifts and Levinson's theorem. By extending fermionic scattering theory to arbitrary dimensions, we implement dimensional regularization in a 1+1 dimensional gauge theory. We demonstrate that this regularization procedure automatically eliminates the anomaly in the vector current that a naive regulator would produce. We also apply these techniques to bag models in one and three dimensions.

[ { "created": "Mon, 24 Jul 2000 18:54:06 GMT", "version": "v1" }, { "created": "Wed, 6 Dec 2000 18:51:08 GMT", "version": "v2" } ]

2009-10-31

[ [ "Farhi", "E.", "" ], [ "Graham", "N.", "" ], [ "Jaffe", "R. L.", "" ], [ "Weigel", "H.", "" ] ]

We compute fractional and integer fermion quantum numbers of static background field configurations using phase shifts and Levinson's theorem. By extending fermionic scattering theory to arbitrary dimensions, we implement dimensional regularization in a 1+1 dimensional gauge theory. We demonstrate that this regularization procedure automatically eliminates the anomaly in the vector current that a naive regulator would produce. We also apply these techniques to bag models in one and three dimensions.

18.650488

14.775498

19.306067

16.50008

16.531916

16.207136

15.966265

15.531427

16.414629

22.41194

15.648369

16.612602

18.740503

17.645168

17.453331

17.188669

16.914234

16.819708

17.826065

18.388435

16.478733

hep-th/9605104

Gerard Watts

H.G.Kausch (1), G.Takacs (2) and G.M.T.Watts (1) ((1) King's College London, (2) ELTE Budapest)

On the relation between Phi(1,2) and Phi(1,5) perturbed minimal models

LaTeX, 23 pages, 12 figures. Substantial revision of introductory section, new discussion of complex eigenvalues and non-unitary S-matrices

Nucl.Phys. B489 (1997) 557-579

10.1016/S0550-3213(97)00056-4

KCL-TH-96-7

hep-th

null

We consider the RSOS S-matrices of the Phi(1,5) perturbed minimal models which have recently been found in the companion paper [hep-th/9604098]. These S-matrices have some interesting properties, in particular, unitarity may be broken in a stronger sense than seen before, while one of the three classes of Phi(1,5) perturbations (to be described) shares the same Thermodynamic Bethe Ansatz as a related Phi(1,2) perturbation. We test these new S-matrices by the standard Truncated Conformal Space method, and further observe that in some cases the BA equations for two particle energy levels may be continued to complex rapidity to describe (a) single particle excitations and (b) complex eigenvalues of the Hamiltonian corresponding to non-unitary S-matrix elements. We make some comments on identities between characters in the two related models following from the fact that the two perturbed theories share the same breather sector.

[ { "created": "Wed, 15 May 1996 12:11:32 GMT", "version": "v1" }, { "created": "Fri, 20 Dec 1996 11:23:36 GMT", "version": "v2" } ]

2009-10-30

[ [ "Kausch", "H. G.", "" ], [ "Takacs", "G.", "" ], [ "Watts", "G. M. T.", "" ] ]

We consider the RSOS S-matrices of the Phi(1,5) perturbed minimal models which have recently been found in the companion paper [hep-th/9604098]. These S-matrices have some interesting properties, in particular, unitarity may be broken in a stronger sense than seen before, while one of the three classes of Phi(1,5) perturbations (to be described) shares the same Thermodynamic Bethe Ansatz as a related Phi(1,2) perturbation. We test these new S-matrices by the standard Truncated Conformal Space method, and further observe that in some cases the BA equations for two particle energy levels may be continued to complex rapidity to describe (a) single particle excitations and (b) complex eigenvalues of the Hamiltonian corresponding to non-unitary S-matrix elements. We make some comments on identities between characters in the two related models following from the fact that the two perturbed theories share the same breather sector.

12.042694

12.142568

14.514547

11.228307

11.781645

13.125935

11.78403

12.612441

11.853333

15.274152

11.348377

12.080821

13.05063

11.718324

12.3903

12.015838

11.907306

11.863081

11.891212

12.746302

11.50939

hep-th/9403136

Ivan Cherednik

Elliptic quantum many-body problem and double affine Knizhnik-Zamolodchikov equation

23 pages

Commun.Math.Phys. 169 (1995) 441-462

10.1007/BF02099480

null

hep-th math.QA

null

The elliptic-matrix quantum Olshanetsky-Perelomov problem is introduced for arbitrary root systems by means of an elliptic generalization of the Dunkl operators. Its equivalence with the double affine generalization of the Knizhnik-Zamolodchikov equation (in the induced representations) is established.

[ { "created": "Tue, 22 Mar 1994 22:37:31 GMT", "version": "v1" } ]

2009-10-28

[ [ "Cherednik", "Ivan", "" ] ]

The elliptic-matrix quantum Olshanetsky-Perelomov problem is introduced for arbitrary root systems by means of an elliptic generalization of the Dunkl operators. Its equivalence with the double affine generalization of the Knizhnik-Zamolodchikov equation (in the induced representations) is established.

10.761382

10.630693

12.744483

8.450707

9.886379

9.850262

10.930581

9.639214

9.361992

11.914135

9.980526

9.710945

10.96609

10.090717

10.050644

10.38904

9.856178

9.355916

9.990592

10.587133

9.707892

hep-th/0010229

Carmen Molina Paris

Diego D. Dalvit, Francisco D. Mazzitelli and Carmen Molina-Paris

One-loop graviton corrections to Maxwell's equations

15 pages, revtex

Phys.Rev.D63:084023,2001

10.1103/PhysRevD.63.084023

null

hep-th gr-qc

null

We compute the graviton induced corrections to Maxwell's equations in the one-loop and weak field approximations. The corrected equations are analogous to the classical equations in anisotropic and inhomogeneous media. We analyze in particular the corrections to the dispersion relations. When the wavelength of the electromagnetic field is much smaller than a typical length scale of the graviton two-point function, the speed of light depends on the direction of propagation and on the polarisation of the radiation. In the opposite case, the speed of light may also depend on the energy of the electromagnetic radiation. We study in detail wave propagation in two special backgrounds, flat Robertson-Walker and static, spherically symmetric spacetimes. In the case of a flat Robertson-Walker gravitational background we find that the corrected electromagnetic field equations correspond to an isotropic medium with a time-dependent effective refractive index. For a static, spherically symmetric background the graviton fluctuations induce a vacuum structure which causes birefringence in the propagation of light.

[ { "created": "Wed, 25 Oct 2000 11:47:08 GMT", "version": "v1" } ]

2010-11-19

[ [ "Dalvit", "Diego D.", "" ], [ "Mazzitelli", "Francisco D.", "" ], [ "Molina-Paris", "Carmen", "" ] ]

We compute the graviton induced corrections to Maxwell's equations in the one-loop and weak field approximations. The corrected equations are analogous to the classical equations in anisotropic and inhomogeneous media. We analyze in particular the corrections to the dispersion relations. When the wavelength of the electromagnetic field is much smaller than a typical length scale of the graviton two-point function, the speed of light depends on the direction of propagation and on the polarisation of the radiation. In the opposite case, the speed of light may also depend on the energy of the electromagnetic radiation. We study in detail wave propagation in two special backgrounds, flat Robertson-Walker and static, spherically symmetric spacetimes. In the case of a flat Robertson-Walker gravitational background we find that the corrected electromagnetic field equations correspond to an isotropic medium with a time-dependent effective refractive index. For a static, spherically symmetric background the graviton fluctuations induce a vacuum structure which causes birefringence in the propagation of light.

6.230017

6.611762

5.830249

5.814825

6.229337

6.454656

6.043864

6.058044

5.843356

6.027251

6.055607

6.060589

5.870236

5.879448

6.018648

5.953732

5.991006

6.078495

5.848681

6.057893

6.046187

hep-th/9308079

Boris Feigin

Boris Feigin and A. V. Stoyanovsky

Quasi-particles models for the representations of Lie algebras and geometry of flag manifold

35 pages

Funct. Anal. Appl. 28(1994), No. 1, 68--90

null

hep-th math.QA

null

We give a new interpretation and proof of the "quasi-particle" type character formulas for integrable representations of the simply-laced affine Kac-Moody algebras through a new "semi-infinite" construction of such representations. We compare formulas of this kind to other formulas obtained using the geometry of the corresponding flag manifold and in particular give a new proof to the Gordon type identities.

[ { "created": "Tue, 17 Aug 1993 08:26:47 GMT", "version": "v1" } ]

2009-10-14

[ [ "Feigin", "Boris", "" ], [ "Stoyanovsky", "A. V.", "" ] ]

We give a new interpretation and proof of the "quasi-particle" type character formulas for integrable representations of the simply-laced affine Kac-Moody algebras through a new "semi-infinite" construction of such representations. We compare formulas of this kind to other formulas obtained using the geometry of the corresponding flag manifold and in particular give a new proof to the Gordon type identities.

13.039879

12.786942

16.039314

12.768501

12.784543

13.186664

11.910863

12.8573

11.090779

16.360247

12.59101

11.944694

13.959505

12.058832

11.64703

11.662246

11.681533

11.795104

11.879724

14.186068

11.84516

1412.7709

Mikhail Khramtsov A.

Dmitri Gal'tsov, Mikhail Khramtsov, Dmitri Orlov

"Triangular" extremal dilatonic dyons

An error in Sec IV and misprints throughout the paper are corrected, one figure added, other figures replaced

null

10.1016/j.physletb.2015.02.017

null

hep-th gr-qc

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

Explicit dyonic dilaton black holes of the four-dimensional Einstein-Maxwell-dilaton theory are known only for two particular values of the dilaton coupling constant $a =1,\sqrt{3}$, while for other $a$ numerical evidence was presented earlier about existence of extremal dyons in theories with the discrete sequence of dilaton couplings $a=\sqrt{n(n+1)/2}$ with integer $n$. Apart from the lower members $n=1,\,2$, this family of theories does not have motivation from supersymmetry or higher dimensions, and so far the above quantization rule has not been derived analytically. We fill this gap showing that this rule follows from analyticity of the dilaton at the $AdS_2\times S^2$ event horizon with $n$ being the leading dilaton power in the series expansion. We also present generalization for asymptotically anti-de Sitter dyonic black holes with spherical, plane and hyperbolic topology of the horizon.

[ { "created": "Wed, 24 Dec 2014 16:43:03 GMT", "version": "v1" }, { "created": "Mon, 29 Dec 2014 19:49:24 GMT", "version": "v2" } ]

2015-06-23

[ [ "Gal'tsov", "Dmitri", "" ], [ "Khramtsov", "Mikhail", "" ], [ "Orlov", "Dmitri", "" ] ]

Explicit dyonic dilaton black holes of the four-dimensional Einstein-Maxwell-dilaton theory are known only for two particular values of the dilaton coupling constant $a =1,\sqrt{3}$, while for other $a$ numerical evidence was presented earlier about existence of extremal dyons in theories with the discrete sequence of dilaton couplings $a=\sqrt{n(n+1)/2}$ with integer $n$. Apart from the lower members $n=1,\,2$, this family of theories does not have motivation from supersymmetry or higher dimensions, and so far the above quantization rule has not been derived analytically. We fill this gap showing that this rule follows from analyticity of the dilaton at the $AdS_2\times S^2$ event horizon with $n$ being the leading dilaton power in the series expansion. We also present generalization for asymptotically anti-de Sitter dyonic black holes with spherical, plane and hyperbolic topology of the horizon.

8.058658

8.482268

7.908683

7.718201

8.910213

8.458139

9.047081

8.705056

8.186052

9.233437

7.920815

8.147225

7.965846

7.851962

8.040318

8.107829

8.105463

8.11819

8.093845

8.220692

8.01984

0711.4972

Adolfo Malbouisson

C.A. Linhares, A.P.C. Malbouisson, I. Roditi

Existence of Asymptotic Expansions in Noncommutative Quantum Field Theories

15 pages, LATEX, no figures

Rev.Math.Phys.20:933-949,2008

10.1142/S0129055X0800347X

null

hep-th math-ph math.MP

null

Starting from the complete Mellin representation of Feynman amplitudes for noncommutative vulcanized scalar quantum field theory, introduced in a previous publication, we generalize to this theory the study of asymptotic behaviours under scaling of arbitrary subsets of external invariants of any Feynman amplitude. This is accomplished for both convergent and renormalized amplitudes.

[ { "created": "Fri, 30 Nov 2007 16:46:26 GMT", "version": "v1" } ]

2008-12-18

[ [ "Linhares", "C. A.", "" ], [ "Malbouisson", "A. P. C.", "" ], [ "Roditi", "I.", "" ] ]

Starting from the complete Mellin representation of Feynman amplitudes for noncommutative vulcanized scalar quantum field theory, introduced in a previous publication, we generalize to this theory the study of asymptotic behaviours under scaling of arbitrary subsets of external invariants of any Feynman amplitude. This is accomplished for both convergent and renormalized amplitudes.

13.744275

11.509033

16.104984

11.648199

11.79999

12.192981

12.610727

13.286058

11.6757

14.730907

13.089065

11.473125

12.615998

12.571351

12.053209

12.354118

11.814831

11.682628

11.888408

12.773495

12.269562

1202.1528

Waldemar Schulgin

Melanie Becker, Waldemar Schulgin

Boundary Terms, Spinors and Kerr/CFT

15 pages

Journal of High Energy Physics, Volume 2012, Number 4 (2012), 63

10.1007/JHEP04(2012)063

MIFPA-12-03

hep-th

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

Similarly as in AdS/CFT, the requirement that the action for spinors be stationary for solutions to the Dirac equation with fixed boundary conditions determines the form of the boundary term that needs to be added to the standard Dirac action in Kerr/CFT. We determine this boundary term and make use of it to calculate the two-point function for spinor fields in Kerr/CFT. This two-point function agrees with the correlator of a two dimensional relativistic conformal field theory.

[ { "created": "Tue, 7 Feb 2012 21:00:03 GMT", "version": "v1" } ]

2012-04-25

[ [ "Becker", "Melanie", "" ], [ "Schulgin", "Waldemar", "" ] ]

Similarly as in AdS/CFT, the requirement that the action for spinors be stationary for solutions to the Dirac equation with fixed boundary conditions determines the form of the boundary term that needs to be added to the standard Dirac action in Kerr/CFT. We determine this boundary term and make use of it to calculate the two-point function for spinor fields in Kerr/CFT. This two-point function agrees with the correlator of a two dimensional relativistic conformal field theory.

8.527246

8.767941

8.096878

7.980092

8.804462

8.879795

8.257307

7.638544

8.833091

8.534637

7.494817

7.432868

7.965332

7.576841

7.769099

7.524222

7.380281

7.485529

7.696967

7.467682

7.422089

1401.0288

Sabine Hossenfelder

S. Hossenfelder

Disentangling the Black Hole Vacuum

16 pages, 2 figures

Phys. Rev. D 91, 044015 (2015)

10.1103/PhysRevD.91.044015

null

hep-th gr-qc

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

We study the question whether disentanglement of Hawking radiation can be achieved with any local operation. We assume that the operation we look for is unitary and can be described by a Bogoliubov transformation. This allows to formulate requirements on the operation of disentanglement. We then show that these requirements can be fulfilled by a timelike boundary condition in the near-horizon area and that the local observer does not notice the presence of the boundary and does not encounter a firewall.

[ { "created": "Wed, 1 Jan 2014 14:08:20 GMT", "version": "v1" } ]

2015-02-26

[ [ "Hossenfelder", "S.", "" ] ]

We study the question whether disentanglement of Hawking radiation can be achieved with any local operation. We assume that the operation we look for is unitary and can be described by a Bogoliubov transformation. This allows to formulate requirements on the operation of disentanglement. We then show that these requirements can be fulfilled by a timelike boundary condition in the near-horizon area and that the local observer does not notice the presence of the boundary and does not encounter a firewall.

10.788871

10.539618

10.535537

10.168715

11.608337

10.894919

10.461936

9.492736

9.974774

10.735386

9.593445

9.893715

10.262972

9.973647

10.189555

10.685913

9.908639

9.956492

10.081271

10.106936

9.917148

1012.6040

Sudipta Sarkar

Saugata Chatterjee, Maulik Parikh and Sudipta Sarkar

The Black Hole Membrane Paradigm in f(R) Gravity

null

10.1088/0264-9381/29/3/035014

null

hep-th gr-qc

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

To an outside observer, a black hole's event horizon appears to behave exactly like a dynamical fluid membrane. We extend this membrane paradigm to black holes in general $f(R)$ theories of gravity. We derive the stress tensor and various transport coefficients of the fluid and find that the membrane behaves as a non-Newtonian fluid except for the special case of Einstein gravity. Using Euclidean methods, we study the thermodynamics of the membrane. We speculate on what theories of gravity admit horizons with fluid properties.

[ { "created": "Wed, 29 Dec 2010 20:55:04 GMT", "version": "v1" } ]

2015-05-20

[ [ "Chatterjee", "Saugata", "" ], [ "Parikh", "Maulik", "" ], [ "Sarkar", "Sudipta", "" ] ]

To an outside observer, a black hole's event horizon appears to behave exactly like a dynamical fluid membrane. We extend this membrane paradigm to black holes in general $f(R)$ theories of gravity. We derive the stress tensor and various transport coefficients of the fluid and find that the membrane behaves as a non-Newtonian fluid except for the special case of Einstein gravity. Using Euclidean methods, we study the thermodynamics of the membrane. We speculate on what theories of gravity admit horizons with fluid properties.

9.843669

8.075579

7.982377

7.724898

8.207244

8.744779

8.890845

7.688435

8.228337

7.787186

8.058367

7.938643

8.196874

8.192316

8.21214

8.366165

7.925395

8.005262

7.853637

8.545588

7.743884

hep-th/0608006

Norma Mankoc Borstnik

Norma Susana Mankoc Borstnik, Holger Bech Nielsen

Fermions with no fundamental charges call for extra dimensions

11 pages, revtex

null

10.1016/j.physletb.2006.11.029

null

hep-th

null

We call attention to that if assuming no conserved charges in the fundamental theory with fermions, which carry only a spin and interact with only the gravity, the dimensions $4, 12, 20,.....,$ as well as all odd dimensions, are excluded under the requirement of mass protection. If more than one family is required, than only dimensions d=2 (mod 4) remains as acceptable, since then other by 4 devisable dimensions are excluded.

[ { "created": "Tue, 1 Aug 2006 08:40:42 GMT", "version": "v1" } ]

2009-11-11

[ [ "Borstnik", "Norma Susana Mankoc", "" ], [ "Nielsen", "Holger Bech", "" ] ]

We call attention to that if assuming no conserved charges in the fundamental theory with fermions, which carry only a spin and interact with only the gravity, the dimensions $4, 12, 20,.....,$ as well as all odd dimensions, are excluded under the requirement of mass protection. If more than one family is required, than only dimensions d=2 (mod 4) remains as acceptable, since then other by 4 devisable dimensions are excluded.

35.063381

36.733807

31.034845

31.653704

34.555229

41.6367

39.665024

37.961975

36.85659

32.764004

34.914993

33.054321

30.83128

30.647669

30.699183

30.862404

30.248352

33.400845

32.174103

28.61809

31.119101

1912.04857

Fyodor Tkachov

A.A. Radionov and F.V. Tkachov

Breaking the 2-loop barrier for generalized IBP reduction

17 pages, presented at the Bogolyubov-2019 Conference, 11-13 Sep. 2019, JINR, Dubna, Russia

Physics of Particles and Nuclei, 2020, Vol. 51, No. 4, pp. 604-608

null

INR-TH-2019-020

hep-th hep-ph

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

We discuss the problem of constructing differential operators for the generalized IBP reduction algorithms at the 2-loop level. A deeply optimized software allows one to efficiently construct such operators for the first non-degenerate 2-loop cases. The most efficient approach is found to be via the so-called partial operators that are much simpler than the complete ones, and that affect the power of only one of the polynomials in the product.

[ { "created": "Tue, 10 Dec 2019 17:54:51 GMT", "version": "v1" } ]

2020-07-07

[ [ "Radionov", "A. A.", "" ], [ "Tkachov", "F. V.", "" ] ]

We discuss the problem of constructing differential operators for the generalized IBP reduction algorithms at the 2-loop level. A deeply optimized software allows one to efficiently construct such operators for the first non-degenerate 2-loop cases. The most efficient approach is found to be via the so-called partial operators that are much simpler than the complete ones, and that affect the power of only one of the polynomials in the product.

24.662865

23.563143

22.851128

20.18577

21.621693

20.7101

25.836578

20.137131

23.59234

32.31739

23.73214

21.208551

22.912037

23.224648

23.504549

23.165756

24.129841

21.974133

22.757948

24.543116

22.261421

2406.08485

Jonathan Heckman

Jonathan J. Heckman and Max H\"ubner

Celestial Topology, Symmetry Theories, and Evidence for a Non-SUSY D3-Brane CFT

12 pages + references, 7 figures

null

hep-th

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

Symmetry Theories (SymThs) provide a flexible framework for analyzing the global categorical symmetries of a $D$-dimensional QFT$_{D}$ in terms of a $(D+1)$-dimensional bulk system SymTh$_{D+1}$. In QFTs realized via local string backgrounds, these SymThs naturally arise from dimensional reduction of the linking boundary geometry. To track possible time dependent effects we introduce a celestial generalization of the standard "boundary at infinity" of a SymTh. As an application of these considerations we revisit large $N$ quiver gauge theories realized by spacetime filling D3-branes probing a non-supersymmetric orbifold $\mathbb{R}^6 / \Gamma$. Comparing the imprint of symmetry breaking on the celestial geometry at small and large 't Hooft coupling we find evidence for an intermediate symmetry preserving conformal fixed point.

[ { "created": "Wed, 12 Jun 2024 17:59:36 GMT", "version": "v1" } ]

2024-06-13

[ [ "Heckman", "Jonathan J.", "" ], [ "Hübner", "Max", "" ] ]

Symmetry Theories (SymThs) provide a flexible framework for analyzing the global categorical symmetries of a $D$-dimensional QFT$_{D}$ in terms of a $(D+1)$-dimensional bulk system SymTh$_{D+1}$. In QFTs realized via local string backgrounds, these SymThs naturally arise from dimensional reduction of the linking boundary geometry. To track possible time dependent effects we introduce a celestial generalization of the standard "boundary at infinity" of a SymTh. As an application of these considerations we revisit large $N$ quiver gauge theories realized by spacetime filling D3-branes probing a non-supersymmetric orbifold $\mathbb{R}^6 / \Gamma$. Comparing the imprint of symmetry breaking on the celestial geometry at small and large 't Hooft coupling we find evidence for an intermediate symmetry preserving conformal fixed point.

12.46524

11.650607

13.290022

11.905869

12.055328

12.022234

12.317164

12.382298

11.855874

13.59246

11.581182

12.156109

11.875909

11.660283

11.783142

11.508687

11.60111

11.137289

11.600923

11.864656

11.896185

1611.10194

Olivera Miskovic

Xiao-Mei Kuang and Olivera Miskovic

Thermal phase transitions of dimensionally continued AdS black holes

18 pages, 2 figures; introduction extended, references added

Phys. Rev. D 95, 046009 (2017)

10.1103/PhysRevD.95.046009

null

hep-th gr-qc

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

We study the thermal phase transitions of charged black holes in dimensionally continued gravity in anti-de Sitter space. We find the van der Waals-like phase transition in the temperature-entropy plane of the black holes with spherical horizons in even dimensions, and there is no such phase transition of the black holes with flat and hyperbolic geometries. Near the critical inflection point, the critical exponent is computed and its value does not depend on the dimension. The Maxwell equal area law is checked to be fulfilled in the temperature-entropy diagram for the first order phase transition. In odd dimensions, there are no thermal phase transitions for the black hole with any geometry of the horizon.

[ { "created": "Wed, 30 Nov 2016 14:55:49 GMT", "version": "v1" }, { "created": "Thu, 2 Feb 2017 05:02:20 GMT", "version": "v2" } ]

2017-02-24

[ [ "Kuang", "Xiao-Mei", "" ], [ "Miskovic", "Olivera", "" ] ]

We study the thermal phase transitions of charged black holes in dimensionally continued gravity in anti-de Sitter space. We find the van der Waals-like phase transition in the temperature-entropy plane of the black holes with spherical horizons in even dimensions, and there is no such phase transition of the black holes with flat and hyperbolic geometries. Near the critical inflection point, the critical exponent is computed and its value does not depend on the dimension. The Maxwell equal area law is checked to be fulfilled in the temperature-entropy diagram for the first order phase transition. In odd dimensions, there are no thermal phase transitions for the black hole with any geometry of the horizon.

6.592938

6.437804

6.297228

6.031488

6.750349

6.720199

6.666456

6.02325

6.367987

6.485114

6.415731

6.129587

6.227223

6.055552

6.211215

6.343446

6.414757

6.124157

6.244782

6.444583

6.318495

1210.3365

Mohammed Mia

Mohammed Mia and Fang Chen

Non extremal geometries and holographic phase transitions

There was an algebraic mistake in the earlier version, which has been corrected. This alters some factors in the critical horizon calculation but the physics remains unchanged

null

10.1007/JHEP01(2013)083

null

hep-th

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

Using the low energy limit of type IIB superstring theory, we obtain the non-extremal limit of deformed conifold geometry which is dual to the IR limit of large N thermal QCD.At low temperatures, the extremal geometry without black hole is favored while at high temperatures, the field theory is described by non-extremal black hole geometry. We compute the ten dimensional on shell action for extremal and non-extremal geometries and demonstrate that at a critical temperature $T_c$ there is a first order confinement to deconfinement phase transition. We compute $T_c$ as a function of 'tHooft coupling and study the thermodynamics of the dual gauge theory by evaluating the free energy and entropy of the ten dimensional geometry. We find agreement with the conformal limit while thermodynamics of non-conformal strongly coupled gauge theories is explored using the black hole geometries in non-AdS space.

[ { "created": "Thu, 11 Oct 2012 20:07:45 GMT", "version": "v1" }, { "created": "Thu, 25 Oct 2012 20:05:54 GMT", "version": "v2" }, { "created": "Wed, 5 Dec 2012 03:25:53 GMT", "version": "v3" }, { "created": "Wed, 8 May 2013 19:28:53 GMT", "version": "v4" } ]

2015-06-11

[ [ "Mia", "Mohammed", "" ], [ "Chen", "Fang", "" ] ]

Using the low energy limit of type IIB superstring theory, we obtain the non-extremal limit of deformed conifold geometry which is dual to the IR limit of large N thermal QCD.At low temperatures, the extremal geometry without black hole is favored while at high temperatures, the field theory is described by non-extremal black hole geometry. We compute the ten dimensional on shell action for extremal and non-extremal geometries and demonstrate that at a critical temperature $T_c$ there is a first order confinement to deconfinement phase transition. We compute $T_c$ as a function of 'tHooft coupling and study the thermodynamics of the dual gauge theory by evaluating the free energy and entropy of the ten dimensional geometry. We find agreement with the conformal limit while thermodynamics of non-conformal strongly coupled gauge theories is explored using the black hole geometries in non-AdS space.

6.796621

7.23367

7.934368

6.52298

7.116396

7.038606

7.047766

6.751389

7.262321

7.943563

6.88288

6.5991

7.098614

6.638124

6.711135

6.666334

6.716365

6.490344

6.586389

7.029719

6.558678

2304.03743

Adam Solomon

Maria J. Rodriguez, Luca Santoni, Adam R. Solomon, and Luis Fernando Temoche

Love Numbers for Rotating Black Holes in Higher Dimensions

23+5 pages, 2 figures. v2: minor updates

Phys.Rev.D 108 (2023) 8, 084011

10.1103/PhysRevD.108.084011

null

hep-th gr-qc

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

We compute the tidal Love numbers and static response coefficients associated to several rotating black holes in higher dimensions, including Myers-Perry black holes, black rings, and black strings. These coefficients exhibit a rich and complex structure as a function of the black hole parameters and multipoles. Our results agree in limiting cases with known and new expressions for various lower-dimensional black holes. In particular, we provide an alternative approach to the computation of the static response of Kerr black holes as a limiting case of the boosted black string.

[ { "created": "Fri, 7 Apr 2023 17:27:12 GMT", "version": "v1" }, { "created": "Wed, 31 May 2023 16:14:45 GMT", "version": "v2" } ]

2023-11-08

[ [ "Rodriguez", "Maria J.", "" ], [ "Santoni", "Luca", "" ], [ "Solomon", "Adam R.", "" ], [ "Temoche", "Luis Fernando", "" ] ]

We compute the tidal Love numbers and static response coefficients associated to several rotating black holes in higher dimensions, including Myers-Perry black holes, black rings, and black strings. These coefficients exhibit a rich and complex structure as a function of the black hole parameters and multipoles. Our results agree in limiting cases with known and new expressions for various lower-dimensional black holes. In particular, we provide an alternative approach to the computation of the static response of Kerr black holes as a limiting case of the boosted black string.

8.881919

8.192105

8.082767

7.528147

7.685504

8.588717

7.282229

7.453789

7.717464

8.521998

7.896675

8.391997

8.180788

8.058185

8.065806

7.615581

8.293301

8.200871

7.911385

8.239585

8.094913

2112.05390

Mohammad Vahid Takook

M.V. Takook

"Krein" regularization method

10 pages, a reference added, explanations added, typos corrected, accepted for publication in Modern Physics Letters A

Mod. Phys. Lett. A, 37 (2022) 2250059

10.1142/S0217732322500596

null

hep-th gr-qc

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

The "Krein" regularization method of quantum field theory is studied, inspired by the Krein space quantization and quantum metric fluctuations. It was previously considered in the one-loop approximation, and this paper is generalized to all orders of perturbation theory. We directly recover the physical results previously obtained starting from the standard QFT by imposing the renormalization conditions. By applying our approach to the QFT in curved space-time and quantum linear gravity, we discuss that there is no need for the higher derivative of the metric tensor for the renormalization of the theory. The advantage of our method compared to the previous ones is that the linear quantum gravity is renormalizable in all orders of perturbation theory.

[ { "created": "Fri, 10 Dec 2021 08:51:39 GMT", "version": "v1" }, { "created": "Tue, 29 Mar 2022 09:11:56 GMT", "version": "v2" } ]

2022-08-18

[ [ "Takook", "M. V.", "" ] ]

The "Krein" regularization method of quantum field theory is studied, inspired by the Krein space quantization and quantum metric fluctuations. It was previously considered in the one-loop approximation, and this paper is generalized to all orders of perturbation theory. We directly recover the physical results previously obtained starting from the standard QFT by imposing the renormalization conditions. By applying our approach to the QFT in curved space-time and quantum linear gravity, we discuss that there is no need for the higher derivative of the metric tensor for the renormalization of the theory. The advantage of our method compared to the previous ones is that the linear quantum gravity is renormalizable in all orders of perturbation theory.

11.662994

10.886356

9.794038

9.979826

11.465506

10.189698

10.611815

10.350532

10.454947

10.625405

11.133009

10.897383

10.513686

10.647326

10.929902

10.654533

10.844811

11.003819

11.03158

10.184659

10.648824