LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1507.08912

Peter West

Alexander G. Tumanov and Peter West

E11 and exceptional field theory

39 pages

null

10.1142/S0217751X16500664

null

hep-th

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

We demonstrate that exceptional field theory is a truncation of the non-linear realisation of the semi-direct product of E11 and its first fundamental as proposed in 2003. Evaluating the simple equations of the E11 approach, and using the commutators of the E11 algebra, we find the equations of exceptional field theory after making a radical truncation. This procedure does not respect any of the higher level E11 symmetries and so these are lost. We suggest that the need for the section condition in exceptional field theory could be a consequence of the truncation.

[ { "created": "Fri, 31 Jul 2015 15:25:32 GMT", "version": "v1" } ]

2016-05-25

[ [ "Tumanov", "Alexander G.", "" ], [ "West", "Peter", "" ] ]

We demonstrate that exceptional field theory is a truncation of the non-linear realisation of the semi-direct product of E11 and its first fundamental as proposed in 2003. Evaluating the simple equations of the E11 approach, and using the commutators of the E11 algebra, we find the equations of exceptional field theory after making a radical truncation. This procedure does not respect any of the higher level E11 symmetries and so these are lost. We suggest that the need for the section condition in exceptional field theory could be a consequence of the truncation.

12.594124

9.967799

13.253187

10.789544

10.272056

9.139359

9.871126

10.000237

10.98247

14.024811

9.371472

9.944782

10.896007

10.377439

11.28583

10.091526

10.431993

10.766253

10.245348

11.366056

10.412695

1008.2828

Sean A. Hartnoll

Sean A. Hartnoll and Alireza Tavanfar

Electron stars for holographic metallic criticality

1+28 pages. LaTeX. 4 figures. v2 reference added, typos fixed

Phys.Rev.D83:046003,2011

10.1103/PhysRevD.83.046003

null

hep-th

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

We refer to the ground state of a gravitating, charged ideal fluid of fermions held at a finite chemical potential as an `electron star'. In a holographic setting, electron stars are candidate gravity duals for strongly interacting finite fermion density systems. We show how electron stars develop an emergent Lifshitz scaling at low energies. This IR scaling region is a consequence of the two way interaction between emergent quantum critical bosonic modes and the finite density of fermions. By integrating from the IR region to an asymptotically AdS_4 spacetime, we compute basic properties of the electron stars, including their electrical conductivity. We emphasize the challenge of connecting UV and IR physics in strongly interacting finite density systems.

[ { "created": "Tue, 17 Aug 2010 06:17:44 GMT", "version": "v1" }, { "created": "Thu, 6 Jan 2011 03:07:26 GMT", "version": "v2" } ]

2011-02-18

[ [ "Hartnoll", "Sean A.", "" ], [ "Tavanfar", "Alireza", "" ] ]

We refer to the ground state of a gravitating, charged ideal fluid of fermions held at a finite chemical potential as an `electron star'. In a holographic setting, electron stars are candidate gravity duals for strongly interacting finite fermion density systems. We show how electron stars develop an emergent Lifshitz scaling at low energies. This IR scaling region is a consequence of the two way interaction between emergent quantum critical bosonic modes and the finite density of fermions. By integrating from the IR region to an asymptotically AdS_4 spacetime, we compute basic properties of the electron stars, including their electrical conductivity. We emphasize the challenge of connecting UV and IR physics in strongly interacting finite density systems.

13.952837

11.554667

15.022602

11.994795

12.711516

12.062053

11.786385

11.820015

11.77589

16.672319

12.584321

12.034123

13.847474

12.551135

12.601047

12.421757

12.444033

12.457623

12.405411

13.881349

12.765586

hep-th/0105294

Mark Walton

J{\o}rgen Rasmussen, Mark A. Walton

On the level-dependence of Wess-Zumino-Witten three-point functions

24 pages, no figures

Nucl.Phys.B616:517-536,2001

10.1016/S0550-3213(01)00337-6

null

hep-th math-ph math.MP

null

Three-point functions of Wess-Zumino-Witten models are investigated. In particular, we study the level-dependence of three-point functions in the models based on algebras $su(3)$ and $su(4)$. We find a correspondence with Berenstein-Zelevinsky triangles. Using previous work connecting those triangles to the fusion multiplicities, and the Gepner-Witten depth rule, we explain how to construct the full three-point functions. We show how their level-dependence is similar to that of the related fusion multiplicity. For example, the concept of threshold level plays a prominent role, as it does for fusion.

[ { "created": "Tue, 29 May 2001 17:01:01 GMT", "version": "v1" }, { "created": "Fri, 28 Sep 2001 00:33:56 GMT", "version": "v2" } ]

2014-11-18

[ [ "Rasmussen", "Jørgen", "" ], [ "Walton", "Mark A.", "" ] ]

Three-point functions of Wess-Zumino-Witten models are investigated. In particular, we study the level-dependence of three-point functions in the models based on algebras $su(3)$ and $su(4)$. We find a correspondence with Berenstein-Zelevinsky triangles. Using previous work connecting those triangles to the fusion multiplicities, and the Gepner-Witten depth rule, we explain how to construct the full three-point functions. We show how their level-dependence is similar to that of the related fusion multiplicity. For example, the concept of threshold level plays a prominent role, as it does for fusion.

11.573821

10.386464

12.98727

10.030328

9.775531

10.075327

9.305375

9.337099

9.704979

14.183125

9.75889

11.277122

11.83197

10.120895

10.619981

10.414993

10.949474

10.362628

10.674481

11.830354

10.397448

0802.1947

Itzhak Bars

Itzhak Bars and Guillaume Quelin

Dualities among 1T-Field Theories with Spin, Emerging from a Unifying 2T-Field Theory

33 pages, LaTeX

Phys.Rev.D77:125019,2008

10.1103/PhysRevD.77.125019

USC-08/HEP-B1

hep-th

null

The relation between two time physics (2T-physics) and the ordinary one time formulation of physics (1T-physics) is similar to the relation between a 3-dimensional object moving in a room and its multiple shadows moving on walls when projected from different perspectives. The multiple shadows as seen by observers stuck on the wall are analogous to the effects of the 2T-universe as experienced in ordinary 1T spacetime. In this paper we develop some of the quantitative aspects of this 2T to 1T relationship in the context of field theory. We discuss 2T field theory in d+2 dimensions and its shadows in the form of 1T field theories when the theory contains Klein-Gordon, Dirac and Yang-Mills fields, such as the Standard Model of particles and forces. We show that the shadow 1T field theories must have hidden relations among themselves. These relations take the form of dualities and hidden spacetime symmetries. A subset of the shadows are 1T field theories in different gravitational backgrounds (different space-times) such as the flat Minkowski spacetime, the Robertson-Walker expanding universe, AdS(d-k) x S(k) and others, including singular ones. We explicitly construct the duality transformations among this conformally flat subset, and build the generators of their hidden SO(d,2) symmetry. The existence of such hidden relations among 1T field theories, which can be tested by both theory and experiment in 1T-physics, is part of the evidence for the underlying d+2 dimensional spacetime and the unifying 2T-physics structure.

[ { "created": "Thu, 14 Feb 2008 00:10:51 GMT", "version": "v1" }, { "created": "Thu, 14 Feb 2008 23:29:26 GMT", "version": "v2" } ]

2008-11-26

[ [ "Bars", "Itzhak", "" ], [ "Quelin", "Guillaume", "" ] ]

The relation between two time physics (2T-physics) and the ordinary one time formulation of physics (1T-physics) is similar to the relation between a 3-dimensional object moving in a room and its multiple shadows moving on walls when projected from different perspectives. The multiple shadows as seen by observers stuck on the wall are analogous to the effects of the 2T-universe as experienced in ordinary 1T spacetime. In this paper we develop some of the quantitative aspects of this 2T to 1T relationship in the context of field theory. We discuss 2T field theory in d+2 dimensions and its shadows in the form of 1T field theories when the theory contains Klein-Gordon, Dirac and Yang-Mills fields, such as the Standard Model of particles and forces. We show that the shadow 1T field theories must have hidden relations among themselves. These relations take the form of dualities and hidden spacetime symmetries. A subset of the shadows are 1T field theories in different gravitational backgrounds (different space-times) such as the flat Minkowski spacetime, the Robertson-Walker expanding universe, AdS(d-k) x S(k) and others, including singular ones. We explicitly construct the duality transformations among this conformally flat subset, and build the generators of their hidden SO(d,2) symmetry. The existence of such hidden relations among 1T field theories, which can be tested by both theory and experiment in 1T-physics, is part of the evidence for the underlying d+2 dimensional spacetime and the unifying 2T-physics structure.

8.576404

8.040525

9.365959

8.204916

8.893093

8.208692

8.629793

8.666175

8.535729

9.427919

8.582815

8.332025

8.687114

8.562913

8.333261

8.61843

8.282911

8.249009

8.592204

9.078125

8.445147

1606.02571

Hugh Osborn

Ian Jack and Hugh Osborn

Scheme Dependence and Multiple Couplings

11 pages

null

DAMTP-2016-43

hep-th

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

For theories with multiple couplings the perturbative $\beta$-functions for scalar, Yukawa couplings are expressible in terms of contributions corresponding to one particle irreducible graphs and also contributions which are one particle reducible depending on the anomalous dimension. Here we discuss redefinitions, or changes of scheme, which preserve this structure. The redefinitions allow for IPR contributions of a specific form, as is necessary to encompass the relation between MS and momentum subtraction renormalisation schemes. Many multiply 1PR terms in the transformed $\beta$-function are generated but these can all be absorbed into antisymmetric contributions to the anomalous dimensions which are essentially arbitrary and can be discarded. As an illustration the results are applied to the scheme dependence of the anomalous dimension, which determines the $\beta$-function, for ${\cal N}=1$ supersymmetric scalar fermion theories in four dimensions up to four loops.

[ { "created": "Wed, 8 Jun 2016 14:22:17 GMT", "version": "v1" } ]

2016-06-09

[ [ "Jack", "Ian", "" ], [ "Osborn", "Hugh", "" ] ]

For theories with multiple couplings the perturbative $\beta$-functions for scalar, Yukawa couplings are expressible in terms of contributions corresponding to one particle irreducible graphs and also contributions which are one particle reducible depending on the anomalous dimension. Here we discuss redefinitions, or changes of scheme, which preserve this structure. The redefinitions allow for IPR contributions of a specific form, as is necessary to encompass the relation between MS and momentum subtraction renormalisation schemes. Many multiply 1PR terms in the transformed $\beta$-function are generated but these can all be absorbed into antisymmetric contributions to the anomalous dimensions which are essentially arbitrary and can be discarded. As an illustration the results are applied to the scheme dependence of the anomalous dimension, which determines the $\beta$-function, for ${\cal N}=1$ supersymmetric scalar fermion theories in four dimensions up to four loops.

12.98319

12.234056

13.223017

12.639103

12.706011

12.751116

12.665473

11.545192

11.872666

14.73651

11.772682

12.005984

12.385373

12.177871

12.136984

12.131594

11.805452

12.183732

12.073208

12.805372

11.621976

2207.14285

Joan Quirant

Fernando Marchesano, Joan Quirant and Matteo Zatti

New instabilities for non-supersymmetric AdS$_4$ orientifold vacua

v2: minor corrections, published version; v1:26 pages + appendices, 2 figures

null

10.1007/JHEP10(2022)026

IFT-UAM/CSIC-22-77

hep-th

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

We consider massive type IIA orientifold compactifications of the form AdS$_4 \times X_6$, where $X_6$ admits a Calabi-Yau metric and is threaded by background fluxes. From a 4d viewpoint, fluxes generate a potential whose vacua have been classified, including one $\mathcal{N}=1$ and three perturbatively stable $\mathcal{N}=0$ branches. We reproduce this result from a 10d viewpoint, by solving the type IIA equations at the same level of detail as previously done for the $\mathcal{N}=1$ branch. All solutions exhibit localised sources and parametric scale separation. We then analyse the non-perturbative stability of the $\mathcal{N}=0$ branches. We consider new 4d membranes, obtained from wrapping D8-branes on $X_6$ or D6-branes on its divisors, threaded by non-diluted worldvolume fluxes. Using them we show that all branches are compatible with the Weak Gravity Conjecture for membranes. In fact, most vacua satisfy the sharpened conjecture that predicts superextremal membranes in $\mathcal{N}=0$ settings, except for a subset whose non-perturbative stability remains an open problem.

[ { "created": "Thu, 28 Jul 2022 17:59:02 GMT", "version": "v1" }, { "created": "Thu, 22 Sep 2022 13:15:03 GMT", "version": "v2" } ]

2022-10-26

[ [ "Marchesano", "Fernando", "" ], [ "Quirant", "Joan", "" ], [ "Zatti", "Matteo", "" ] ]

We consider massive type IIA orientifold compactifications of the form AdS$_4 \times X_6$, where $X_6$ admits a Calabi-Yau metric and is threaded by background fluxes. From a 4d viewpoint, fluxes generate a potential whose vacua have been classified, including one $\mathcal{N}=1$ and three perturbatively stable $\mathcal{N}=0$ branches. We reproduce this result from a 10d viewpoint, by solving the type IIA equations at the same level of detail as previously done for the $\mathcal{N}=1$ branch. All solutions exhibit localised sources and parametric scale separation. We then analyse the non-perturbative stability of the $\mathcal{N}=0$ branches. We consider new 4d membranes, obtained from wrapping D8-branes on $X_6$ or D6-branes on its divisors, threaded by non-diluted worldvolume fluxes. Using them we show that all branches are compatible with the Weak Gravity Conjecture for membranes. In fact, most vacua satisfy the sharpened conjecture that predicts superextremal membranes in $\mathcal{N}=0$ settings, except for a subset whose non-perturbative stability remains an open problem.

7.400452

6.737094

8.810203

6.918916

7.151713

6.753795

6.935803

7.052587

7.311262

9.189769

7.279568

7.355965

7.613338

7.243207

7.366971

7.113493

7.409283

7.113772

7.248829

7.559451

6.935146

2103.06721

John Roughley

Daniel Elander, Maurizio Piai, John Roughley

The Coulomb branch of N=4 SYM and dilatonic scions in supergravity

20 pages, 9 figures. Version accepted for publication

Phys. Rev. D 104, 046003 (2021)

10.1103/PhysRevD.104.046003

null

hep-th hep-lat hep-ph

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

We find a parametrically light dilaton in special confining theories in three dimensions. Their duals form what we call a scion of solutions to the supergravity associated with the large-N limit of the Coulomb branch of the N=4 Super-Yang-Mills (SYM) theory. The supergravity description contains one scalar with bulk mass that saturates the Breitenlohner-Freedman unitarity bound. The new solutions are defined within supergravity, they break supersymmetry and scale invariance, and one dimension is compactified on a shrinking circle, yet they are completely regular. An approximate dilaton appears in the spectrum of background fluctuations (or composite states in the confining theory), and becomes parametrically light along a metastable portion of the scion of new supergravity solutions, in close proximity of a tachyonic instability. A first-order phase transition separates stable backgrounds, for which the approximate dilaton is not parametrically light, from metastable and unstable backgrounds, for which the dilaton becomes parametrically light, and eventually tachyonic.

[ { "created": "Thu, 11 Mar 2021 15:12:54 GMT", "version": "v1" }, { "created": "Thu, 18 Mar 2021 11:51:09 GMT", "version": "v2" }, { "created": "Fri, 25 Jun 2021 09:15:27 GMT", "version": "v3" } ]

2021-08-11

[ [ "Elander", "Daniel", "" ], [ "Piai", "Maurizio", "" ], [ "Roughley", "John", "" ] ]

We find a parametrically light dilaton in special confining theories in three dimensions. Their duals form what we call a scion of solutions to the supergravity associated with the large-N limit of the Coulomb branch of the N=4 Super-Yang-Mills (SYM) theory. The supergravity description contains one scalar with bulk mass that saturates the Breitenlohner-Freedman unitarity bound. The new solutions are defined within supergravity, they break supersymmetry and scale invariance, and one dimension is compactified on a shrinking circle, yet they are completely regular. An approximate dilaton appears in the spectrum of background fluctuations (or composite states in the confining theory), and becomes parametrically light along a metastable portion of the scion of new supergravity solutions, in close proximity of a tachyonic instability. A first-order phase transition separates stable backgrounds, for which the approximate dilaton is not parametrically light, from metastable and unstable backgrounds, for which the dilaton becomes parametrically light, and eventually tachyonic.

10.510754

9.951798

10.196728

9.217698

10.372505

10.667386

10.176212

9.704567

10.132796

11.801044

9.70009

9.716647

10.138698

9.855486

9.813569

9.888206

9.837267

9.774433

9.907982

10.900676

9.809457

1412.3457

Prashant Saraswat

Anton de la Fuente, Prashant Saraswat, Raman Sundrum

Natural Inflation and Quantum Gravity

References added; minor changes and corrections

Phys. Rev. Lett. 114, 151303 (2015)

10.1103/PhysRevLett.114.151303

null

hep-th astro-ph.CO hep-ph

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

Cosmic Inflation provides an attractive framework for understanding the early universe and the cosmic microwave background. It can readily involve energies close to the scale at which Quantum Gravity effects become important. General considerations of black hole quantum mechanics suggest nontrivial constraints on any effective field theory model of inflation that emerges as a low-energy limit of quantum gravity, in particular the constraint of the Weak Gravity Conjecture. We show that higher-dimensional gauge and gravitational dynamics can elegantly satisfy these constraints and lead to a viable, theoretically-controlled and predictive class of Natural Inflation models.

[ { "created": "Wed, 10 Dec 2014 21:00:05 GMT", "version": "v1" }, { "created": "Thu, 29 Jan 2015 21:35:50 GMT", "version": "v2" } ]

2015-04-22

[ [ "de la Fuente", "Anton", "" ], [ "Saraswat", "Prashant", "" ], [ "Sundrum", "Raman", "" ] ]

Cosmic Inflation provides an attractive framework for understanding the early universe and the cosmic microwave background. It can readily involve energies close to the scale at which Quantum Gravity effects become important. General considerations of black hole quantum mechanics suggest nontrivial constraints on any effective field theory model of inflation that emerges as a low-energy limit of quantum gravity, in particular the constraint of the Weak Gravity Conjecture. We show that higher-dimensional gauge and gravitational dynamics can elegantly satisfy these constraints and lead to a viable, theoretically-controlled and predictive class of Natural Inflation models.

10.164306

11.254782

10.461205

10.184912

10.095027

9.805037

9.639419

10.86526

9.695968

10.99708

9.215688

9.676707

9.952251

9.80042

9.425076

9.2445

9.328281

9.814776

9.310538

9.91262

9.568822

1901.08295

Lilian Chabrol

Geometry of $\mathbb{R}^{+}\times E_{3(3)}$ Exceptional Field Theory and F-theory

null

10.1007/JHEP08(2019)073

null

hep-th

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

We consider a non trivial solution to the section condition in the context of $\mathbb{R}^{+}\times E_{3(3)}$ exceptional field theory and show that allowing fields to depend on the additional stringy coordinates of the extended internal space permits to describe the monodromies of (p,q) 7-branes in the context of F-theory. General expressions of non trivial fluxes with associated linear and quadratic constraints are obtained via a comparison to the embedding tensor of eight dimensional gauged maximal supergravity with gauged trombone symmetry. We write an explicit generalised Christoffel symbol for $E_{3(3)}$ EFT and show that the equations of motion of F-theory, namely the vanishing of a 4 dimensional Ricci tensor with two of its dimensions fibered, can be obtained from a generalised Ricci tensor and an appropriate type IIB ansatz for the metric.

[ { "created": "Thu, 24 Jan 2019 09:11:34 GMT", "version": "v1" } ]

2019-09-04

[ [ "Chabrol", "Lilian", "" ] ]

We consider a non trivial solution to the section condition in the context of $\mathbb{R}^{+}\times E_{3(3)}$ exceptional field theory and show that allowing fields to depend on the additional stringy coordinates of the extended internal space permits to describe the monodromies of (p,q) 7-branes in the context of F-theory. General expressions of non trivial fluxes with associated linear and quadratic constraints are obtained via a comparison to the embedding tensor of eight dimensional gauged maximal supergravity with gauged trombone symmetry. We write an explicit generalised Christoffel symbol for $E_{3(3)}$ EFT and show that the equations of motion of F-theory, namely the vanishing of a 4 dimensional Ricci tensor with two of its dimensions fibered, can be obtained from a generalised Ricci tensor and an appropriate type IIB ansatz for the metric.

10.713782

10.631878

14.672114

10.298975

11.285865

10.475652

11.224046

10.675271

10.776163

15.068281

10.130543

10.473526

11.431174

10.213367

9.897884

10.158587

10.279007

10.015297

10.404746

11.095971

10.068089

hep-th/9808075

Igor Klebanov

Steven S. Gubser and Igor R. Klebanov

Baryons and Domain Walls in an N = 1 Superconformal Gauge Theory

14 pages, latex; v2: discussion at the end of section 3 modified, the version to appear in Physical Review D

Phys. Rev. D 58, 125025 (1998)

10.1103/PhysRevD.58.125025

PUPT-1807

hep-th

null

Coincident D3-branes placed at a conical singularity are related to string theory on $AdS_5\times X_5$, for a suitable five-dimensional Einstein manifold $X_5$. For the example of the conifold, which leads to $X_5=T^{1,1}=(SU(2)\times SU(2))/U(1)$, the infrared limit of the theory on $N$ D3-branes was constructed recently. This is ${\cal N}=1$ supersymmetric $SU(N)\times SU(N)$ gauge theory coupled to four bifundamental chiral superfields and supplemented by a quartic superpotential which becomes marginal in the infrared. In this paper we consider D3-branes wrapped over the 3-cycles of $T^{1,1}$ and identify them with baryon-like chiral operators built out of products of $N$ chiral superfields. The supergravity calculation of the dimensions of such operators agrees with field theory. We also study the D5-brane wrapped over a 2-cycle of $T^{1,1}$, which acts as a domain wall in $AdS_5$. We argue that upon crossing it the gauge group changes to $SU(N)\times SU(N+1)$. This suggests a construction of supergravity duals of ${\cal N}=1$ supersymmetric $SU(N_1)\times SU(N_2)$ gauge theories.

[ { "created": "Wed, 12 Aug 1998 22:02:34 GMT", "version": "v1" }, { "created": "Mon, 21 Sep 1998 20:16:59 GMT", "version": "v2" } ]

2016-08-25

[ [ "Gubser", "Steven S.", "" ], [ "Klebanov", "Igor R.", "" ] ]

Coincident D3-branes placed at a conical singularity are related to string theory on $AdS_5\times X_5$, for a suitable five-dimensional Einstein manifold $X_5$. For the example of the conifold, which leads to $X_5=T^{1,1}=(SU(2)\times SU(2))/U(1)$, the infrared limit of the theory on $N$ D3-branes was constructed recently. This is ${\cal N}=1$ supersymmetric $SU(N)\times SU(N)$ gauge theory coupled to four bifundamental chiral superfields and supplemented by a quartic superpotential which becomes marginal in the infrared. In this paper we consider D3-branes wrapped over the 3-cycles of $T^{1,1}$ and identify them with baryon-like chiral operators built out of products of $N$ chiral superfields. The supergravity calculation of the dimensions of such operators agrees with field theory. We also study the D5-brane wrapped over a 2-cycle of $T^{1,1}$, which acts as a domain wall in $AdS_5$. We argue that upon crossing it the gauge group changes to $SU(N)\times SU(N+1)$. This suggests a construction of supergravity duals of ${\cal N}=1$ supersymmetric $SU(N_1)\times SU(N_2)$ gauge theories.

4.229238

3.922129

4.978713

3.988569

3.924537

3.900192

3.932373

3.9755

3.972604

5.32615

3.938354

3.894343

4.407365

3.942294

3.9075

3.920556

3.933745

3.989747

3.925362

4.350154

4.014481

1511.04085

Francesco Benini

Francesco Benini, Kiril Hristov, Alberto Zaffaroni

Black hole microstates in AdS$_4$ from supersymmetric localization

35 pages + appendices, 4 figures; v2: refs added

JHEP 1605 (2016) 054

10.1007/JHEP05(2016)054

Imperial/TP/2015/FB/03

hep-th gr-qc

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

This paper addresses a long standing problem, the counting of the microstates of supersymmetric asymptotically AdS black holes in terms of a holographically dual field theory. We focus on a class of asymptotically AdS$_4$ static black holes preserving two real supercharges which are dual to a topologically twisted deformation of the ABJM theory. We evaluate in the large $N$ limit the topologically twisted index of the ABJM theory and we show that it correctly reproduces the entropy of the AdS$_4$ black holes. An extremization of the index with respect to a set of chemical potentials is required. We interpret it as the selection of the exact R-symmetry of the superconformal quantum mechanics describing the horizon of the black hole.

[ { "created": "Thu, 12 Nov 2015 21:00:08 GMT", "version": "v1" }, { "created": "Wed, 17 Feb 2016 15:25:18 GMT", "version": "v2" } ]

2016-05-17

[ [ "Benini", "Francesco", "" ], [ "Hristov", "Kiril", "" ], [ "Zaffaroni", "Alberto", "" ] ]

This paper addresses a long standing problem, the counting of the microstates of supersymmetric asymptotically AdS black holes in terms of a holographically dual field theory. We focus on a class of asymptotically AdS$_4$ static black holes preserving two real supercharges which are dual to a topologically twisted deformation of the ABJM theory. We evaluate in the large $N$ limit the topologically twisted index of the ABJM theory and we show that it correctly reproduces the entropy of the AdS$_4$ black holes. An extremization of the index with respect to a set of chemical potentials is required. We interpret it as the selection of the exact R-symmetry of the superconformal quantum mechanics describing the horizon of the black hole.

5.457001

4.694192

6.325684

4.960094

4.774417

4.805836

4.841963

4.930585

5.039861

6.46953

4.591442

4.845836

5.578828

5.003223

4.940272

4.943219

4.927966

4.984489

5.059411

5.598072

5.08052

1411.6981

Valeri Frolov P

Valeri P. Frolov

Do Black Holes Exist?

13 pages, 2 figures. An extended version of the talk at QUARKS-2014 conferences prepared for its Proceedings

null

hep-th gr-qc

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

We discuss and compare definitions of a black hole based on the existence of event and apparent horizons. In this connection we present a non-singular model of a black hole with a closed apparent horizon and discuss its properties. We propose a massive thin shell model for consistent description of particles creation in black holes. Using this model we demonstrate that for black holes with mass much larger than the Planckian one the backreaction of the domain, where the particles are created, on the black hole parameters is negligibly small.

[ { "created": "Tue, 25 Nov 2014 19:36:00 GMT", "version": "v1" } ]

2014-11-26

[ [ "Frolov", "Valeri P.", "" ] ]

We discuss and compare definitions of a black hole based on the existence of event and apparent horizons. In this connection we present a non-singular model of a black hole with a closed apparent horizon and discuss its properties. We propose a massive thin shell model for consistent description of particles creation in black holes. Using this model we demonstrate that for black holes with mass much larger than the Planckian one the backreaction of the domain, where the particles are created, on the black hole parameters is negligibly small.

10.471256

10.061934

9.512846

9.628166

9.569673

10.719887

11.073337

9.585948

10.150382

10.701018

10.610995

10.206812

9.925417

9.562537

9.824881

9.510925

10.281144

9.739728

10.201958

9.721908

9.968013

1408.2366

Luigi Rosa

Luigi Rosa and Lucia Trozzo

Casimir energy in a spherical surface within surface impedance approach: the Drude model

10 pages

null

hep-th

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

The Casimir Energy of a spherical surface characterized by its surface impedance is calculated. The material properties of the boundary are described by means of the Drude model, so that a generalization of previous results is obtained. The limits of the proposed approach are analyzed and a solution is suggested. The possibility of modulating the sign of the Casimir force from positive (repulsion) to negative (attraction) is studied.

[ { "created": "Mon, 11 Aug 2014 10:32:15 GMT", "version": "v1" } ]

2014-08-12

[ [ "Rosa", "Luigi", "" ], [ "Trozzo", "Lucia", "" ] ]

The Casimir Energy of a spherical surface characterized by its surface impedance is calculated. The material properties of the boundary are described by means of the Drude model, so that a generalization of previous results is obtained. The limits of the proposed approach are analyzed and a solution is suggested. The possibility of modulating the sign of the Casimir force from positive (repulsion) to negative (attraction) is studied.

8.786036

9.331305

9.117929

8.098928

8.281382

7.545242

8.156112

8.48209

9.074358

9.329999

8.186521

8.414771

8.771359

8.34113

8.034295

8.320342

8.114286

8.103655

8.302567

9.161066

8.376154

1305.1955

Vatsal Dwivedi

Michael Stone, Vatsal Dwivedi

A Classical Version of the Non-Abelian Gauge Anomaly

19 Pages, No figures

Physical Review D88 045012 (2013) 8pp

10.1103/PhysRevD.88.045012

null

hep-th

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

We show that a version of the covariant gauge anomaly for a 3+1 dimensional chiral fermion interacting with a non-Abelian gauge field can be obtained from the classical Hamiltonian flow of its probability distribution in phase space. The only quantum input needed is the Berry phase that arises from the direction of the spin being slaved to the particle's momentum.

[ { "created": "Wed, 8 May 2013 20:42:11 GMT", "version": "v1" }, { "created": "Fri, 16 Aug 2013 19:09:36 GMT", "version": "v2" } ]

2015-06-15

[ [ "Stone", "Michael", "" ], [ "Dwivedi", "Vatsal", "" ] ]

We show that a version of the covariant gauge anomaly for a 3+1 dimensional chiral fermion interacting with a non-Abelian gauge field can be obtained from the classical Hamiltonian flow of its probability distribution in phase space. The only quantum input needed is the Berry phase that arises from the direction of the spin being slaved to the particle's momentum.

11.494491

9.783449

11.659052

9.13355

10.370799

9.527091

10.314697

9.300097

9.808578

12.514472

9.779091

9.544997

10.162486

9.996789

9.870268

9.970472

10.29352

10.062979

10.044016

10.34247

9.73226

1807.02181

Oliver Rosten

Oliver J. Rosten

The Conformal Anomaly and a new Exact RG

v3: 34 pages, published version; v4: 34 pages, small correction pertaining to the effective average action

Eur. Phys. J. C 80, 317 (2020)

10.1140/epjc/s10052-020-7866-1

null

hep-th cond-mat.stat-mech gr-qc

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

For scalar field theory, a new generalization of the Exact RG to curved space is proposed, in which the conformal anomaly is explicitly present. Vacuum terms require regularization beyond that present in the canonical formulation of the Exact RG, which can be accomplished by adding certain free fields, each at a non-critical fixed-point. Taking the Legendre transform, the sole effect of the regulator fields is to remove a divergent vacuum term and they do not explicitly appear in the effective average action. As an illustration, both the integrated conformal anomaly and Polyakov action are recovered for the Gaussian theory in d=2.

[ { "created": "Thu, 5 Jul 2018 21:02:13 GMT", "version": "v1" }, { "created": "Tue, 10 Dec 2019 19:22:46 GMT", "version": "v2" }, { "created": "Mon, 13 Apr 2020 09:04:19 GMT", "version": "v3" }, { "created": "Sun, 27 Feb 2022 13:23:53 GMT", "version": "v4" } ]

2022-03-01

[ [ "Rosten", "Oliver J.", "" ] ]

For scalar field theory, a new generalization of the Exact RG to curved space is proposed, in which the conformal anomaly is explicitly present. Vacuum terms require regularization beyond that present in the canonical formulation of the Exact RG, which can be accomplished by adding certain free fields, each at a non-critical fixed-point. Taking the Legendre transform, the sole effect of the regulator fields is to remove a divergent vacuum term and they do not explicitly appear in the effective average action. As an illustration, both the integrated conformal anomaly and Polyakov action are recovered for the Gaussian theory in d=2.

18.518074

18.15082

18.502001

17.517864

18.183947

19.603247

18.788378

17.654497

17.193163

21.28187

17.195601

17.69846

17.866192

17.555422

16.852417

17.645916

17.334087

17.272776

16.952423

18.934532

17.421829

hep-th/0505245

Kuldeep Kumar

Rabin Banerjee and Kuldeep Kumar

Seiberg-Witten maps and commutator anomalies in noncommutative electrodynamics

15 pages, minor changes, version appearing in Phys. Rev. D

Phys.Rev.D72:085012,2005

10.1103/PhysRevD.72.085012

null

hep-th

null

We exploit the Seiberg-Witten maps for fields and currents in a U(1) gauge theory relating the noncommutative and commutative (usual) descriptions to obtain the O(\theta) structure of the commutator anomalies in noncommutative electrodynamics. These commutators involve the (covariant) current-current algebra and the (covariant) current-field algebra. We also establish the compatibility of the anomalous commutators with the noncommutative covariant anomaly through the use of certain consistency conditions derived here.

[ { "created": "Thu, 26 May 2005 17:49:11 GMT", "version": "v1" }, { "created": "Sun, 25 Sep 2005 12:27:58 GMT", "version": "v2" } ]

2011-07-19

[ [ "Banerjee", "Rabin", "" ], [ "Kumar", "Kuldeep", "" ] ]

We exploit the Seiberg-Witten maps for fields and currents in a U(1) gauge theory relating the noncommutative and commutative (usual) descriptions to obtain the O(\theta) structure of the commutator anomalies in noncommutative electrodynamics. These commutators involve the (covariant) current-current algebra and the (covariant) current-field algebra. We also establish the compatibility of the anomalous commutators with the noncommutative covariant anomaly through the use of certain consistency conditions derived here.

10.129132

9.900459

9.823664

7.77982

9.149879

8.618848

8.591244

9.128834

8.103237

9.293757

7.925792

9.070006

9.240991

8.862583

9.043184

9.429682

9.127328

8.926134

9.015665

9.288184

8.737385

1506.08040

Severin L\"ust

Jan Louis and Severin Lust

Supersymmetric AdS_7 backgrounds in half-maximal supergravity and marginal operators of (1,0) SCFTs

20 pages, corrected classification of non-semisimple gauge groups, version to appear in JHEP

null

10.1007/JHEP10(2015)120

ZMP-HH/15-17

hep-th

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

We determine the supersymmetric AdS_7 backgrounds of seven-dimensional half-maximal gauged supergravities and show that they do not admit any deformations that preserve all 16 supercharges. We compare this result to the conformal manifold of the holographically dual (1,0) superconformal field theories and show that accordingly its representation theory implies that no supersymmetric marginal operators exist.

[ { "created": "Fri, 26 Jun 2015 12:07:01 GMT", "version": "v1" }, { "created": "Mon, 20 Jul 2015 16:46:19 GMT", "version": "v2" }, { "created": "Fri, 25 Sep 2015 15:44:27 GMT", "version": "v3" } ]

2015-10-23

[ [ "Louis", "Jan", "" ], [ "Lust", "Severin", "" ] ]

We determine the supersymmetric AdS_7 backgrounds of seven-dimensional half-maximal gauged supergravities and show that they do not admit any deformations that preserve all 16 supercharges. We compare this result to the conformal manifold of the holographically dual (1,0) superconformal field theories and show that accordingly its representation theory implies that no supersymmetric marginal operators exist.

9.216962

7.708805

11.741198

7.597508

7.496913

7.52817

7.153058

7.156274

7.021369

11.003589

7.1394

8.409156

10.512846

8.48757

8.179029

8.260851

8.272934

8.145897

8.23686

10.405962

7.888743

hep-th/9410141

Tim Morris

Tim R. Morris

The Renormalization Group and Two Dimensional Multicritical Effective Scalar Field Theory

Note added on "shadow operators". Version to be published in Phys. Lett. B

Phys.Lett. B345 (1995) 139-148

10.1016/0370-2693(94)01603-A

SHEP 94/95-04, CERN-TH.7403/94

hep-th cond-mat hep-lat

null

Direct verification of the existence of an infinite set of multicritical non-perturbative FPs (Fixed Points) for a single scalar field in two dimensions, is in practice well outside the capabilities of the present standard approximate non-perturbative methods. We apply a derivative expansion of the exact RG (Renormalization Group) equations in a form which allows the corresponding FP equations to appear as non-linear eigenvalue equations for the anomalous scaling dimension $\eta$. At zeroth order, only continuum limits based on critical sine-Gordon models, are accessible. At second order in derivatives, we perform a general search over all $\eta\ge.02$, finding the expected first ten FPs, and {\sl only} these. For each of these we verify the correct relevant qualitative behaviour, and compute critical exponents, and the dimensions of up to the first ten lowest dimension operators. Depending on the quantity, our lowest order approximate description agrees with CFT (Conformal Field Theory) with an accuracy between 0.2\% and 33\%; this requires however that certain irrelevant operators that are total derivatives in the CFT are associated with ones that are not total derivatives in the scalar field theory.

[ { "created": "Wed, 19 Oct 1994 16:53:31 GMT", "version": "v1" }, { "created": "Mon, 5 Dec 1994 14:40:32 GMT", "version": "v2" } ]

2009-10-28

[ [ "Morris", "Tim R.", "" ] ]

Direct verification of the existence of an infinite set of multicritical non-perturbative FPs (Fixed Points) for a single scalar field in two dimensions, is in practice well outside the capabilities of the present standard approximate non-perturbative methods. We apply a derivative expansion of the exact RG (Renormalization Group) equations in a form which allows the corresponding FP equations to appear as non-linear eigenvalue equations for the anomalous scaling dimension $\eta$. At zeroth order, only continuum limits based on critical sine-Gordon models, are accessible. At second order in derivatives, we perform a general search over all $\eta\ge.02$, finding the expected first ten FPs, and {\sl only} these. For each of these we verify the correct relevant qualitative behaviour, and compute critical exponents, and the dimensions of up to the first ten lowest dimension operators. Depending on the quantity, our lowest order approximate description agrees with CFT (Conformal Field Theory) with an accuracy between 0.2\% and 33\%; this requires however that certain irrelevant operators that are total derivatives in the CFT are associated with ones that are not total derivatives in the scalar field theory.

16.591059

17.973228

17.776438

15.700059

16.620178

15.668603

17.026516

16.562151

15.861751

18.850878

16.340117

15.753806

16.297117

16.003883

16.858156

15.936521

16.639528

16.000237

15.928532

16.022871

15.851334

1611.09374

Seyed Morteza Hosseini

Seyed Morteza Hosseini, Anton Nedelin, Alberto Zaffaroni

The Cardy limit of the topologically twisted index and black strings in AdS$_5$

31 pages, V2: minor corrections, refs added, V3: minor corrections, published version, V4: few signs corrected

JHEP 1704 (2017) 014

10.1007/JHEP04(2017)014

null

hep-th

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

We evaluate the topologically twisted index of a general four-dimensional $\mathcal{N} = 1$ gauge theory in the "high-temperature" limit. The index is the partition function for $\mathcal{N} = 1$ theories on $S^2 \times T^2$, with a partial topological twist along $S^2$, in the presence of background magnetic fluxes and fugacities for the global symmetries. We show that the logarithm of the index is proportional to the conformal anomaly coefficient of the two-dimensional $\mathcal{N} = (0,2)$ SCFTs obtained from the compactification on $S^2$. We also present a universal formula for extracting the index from the four-dimensional conformal anomaly coefficient and its derivatives. We give examples based on theories whose holographic duals are black strings in type IIB backgrounds AdS$_5 \times \text{SE}_5$, where SE$_5$ are five-dimensional Sasaki-Einstein spaces.

[ { "created": "Mon, 28 Nov 2016 21:00:09 GMT", "version": "v1" }, { "created": "Mon, 23 Jan 2017 13:19:39 GMT", "version": "v2" }, { "created": "Tue, 11 Apr 2017 08:50:08 GMT", "version": "v3" }, { "created": "Tue, 23 Oct 2018 14:29:20 GMT", "version": "v4" } ]

2018-10-24

[ [ "Hosseini", "Seyed Morteza", "" ], [ "Nedelin", "Anton", "" ], [ "Zaffaroni", "Alberto", "" ] ]

We evaluate the topologically twisted index of a general four-dimensional $\mathcal{N} = 1$ gauge theory in the "high-temperature" limit. The index is the partition function for $\mathcal{N} = 1$ theories on $S^2 \times T^2$, with a partial topological twist along $S^2$, in the presence of background magnetic fluxes and fugacities for the global symmetries. We show that the logarithm of the index is proportional to the conformal anomaly coefficient of the two-dimensional $\mathcal{N} = (0,2)$ SCFTs obtained from the compactification on $S^2$. We also present a universal formula for extracting the index from the four-dimensional conformal anomaly coefficient and its derivatives. We give examples based on theories whose holographic duals are black strings in type IIB backgrounds AdS$_5 \times \text{SE}_5$, where SE$_5$ are five-dimensional Sasaki-Einstein spaces.

4.566858

3.944777

5.110284

4.062067

4.183617

4.120425

4.258933

4.060132

4.216324

5.390857

4.108441

4.197888

4.551953

4.248755

4.246992

4.273671

4.170281

4.221103

4.220242

4.629534

4.208324

1307.6490

Joseph Ben Geloun

Joseph Ben Geloun and Sanjaye Ramgoolam

Counting Tensor Model Observables and Branched Covers of the 2-Sphere

56 pages, 14 Figures

Ann.Inst.H.Poincare Comb.Phys.Interact. 1 (2014) 1, 77-138

10.4171/AIHPD/4

QMUL-PH-13-08, ICMPA-MPA/2013/008

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

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

Lattice gauge theories of permutation groups with a simple topological action (henceforth permutation-TFTs) have recently found several applications in the combinatorics of quantum field theories (QFTs). They have been used to solve counting problems of Feynman graphs in QFTs and ribbon graphs of large $N$, often revealing inter-relations between different counting problems. In another recent development, tensor theories generalizing matrix theories have been actively developed as models of random geometry in three or more dimensions. Here, we apply permutation-TFT methods to count gauge invariants for tensor models (colored as well as non-colored), exhibiting a relationship with counting problems of branched covers of the 2-sphere, where the rank $d$ of the tensor gets related to a number of branch points. We give explicit generating functions for the relevant counting and describe algorithms for the enumeration of the invariants. As well as the classic count of Hurwitz equivalence classes of branched covers with fixed branch points, collecting these under an equivalence of permuting the branch points is relevant to the color-symmetrized tensor invariant counting. We also apply the permutation-TFT methods to obtain some formulae for correlators of the tensor model invariants.

[ { "created": "Wed, 24 Jul 2013 16:59:33 GMT", "version": "v1" } ]

2020-04-27

[ [ "Geloun", "Joseph Ben", "" ], [ "Ramgoolam", "Sanjaye", "" ] ]

Lattice gauge theories of permutation groups with a simple topological action (henceforth permutation-TFTs) have recently found several applications in the combinatorics of quantum field theories (QFTs). They have been used to solve counting problems of Feynman graphs in QFTs and ribbon graphs of large $N$, often revealing inter-relations between different counting problems. In another recent development, tensor theories generalizing matrix theories have been actively developed as models of random geometry in three or more dimensions. Here, we apply permutation-TFT methods to count gauge invariants for tensor models (colored as well as non-colored), exhibiting a relationship with counting problems of branched covers of the 2-sphere, where the rank $d$ of the tensor gets related to a number of branch points. We give explicit generating functions for the relevant counting and describe algorithms for the enumeration of the invariants. As well as the classic count of Hurwitz equivalence classes of branched covers with fixed branch points, collecting these under an equivalence of permuting the branch points is relevant to the color-symmetrized tensor invariant counting. We also apply the permutation-TFT methods to obtain some formulae for correlators of the tensor model invariants.

13.037727

14.199078

14.097871

12.42655

13.758118

13.241584

14.75623

13.362086

12.994028

15.917526

12.900502

12.243032

12.912014

12.779095

12.505676

12.581701

12.588699

12.435732

12.885717

13.005105

12.610533

hep-th/0211074

Asato Tsuchiya

Matsuo Sato and Asato Tsuchiya

Born-Infeld Action from Supergravity

25 pages, minor changes, published version

Prog.Theor.Phys. 109 (2003) 687-707

10.1143/PTP.109.687

MIT-CTP-3321, OU-HET 423

hep-th gr-qc

null

We show that the Born-Infeld action with the Wess-Zumino terms for the Ramond-Ramond fields, which is the D3-brane effective action, is a solution to the Hamilton-Jacobi (H-J) equation of type IIB supergravity. Adopting the radial coordinate as time, we develop the ADM formalism for type IIB supergravity reduced on $S^5$ and derive the H-J equation, which is the classical limit of the Wheeler-De Witt equation and whose solutions are classical on-shell actions. The solution to the H-J equation reproduces the on-shell actions for the supergravity solution of a stack of D3-branes in a $B_2$ field and the near-horizon limit of this supergravity solution, which is conjectured to be dual to noncommutative Yang Mills and reduces to $AdS_5 \times S^5$ in the commutative limit. Our D3-brane effective action is that of a probe D3-brane, and the radial time corresponds to the vacuum expectation value of the Higgs field in the dual Yang Mills. Our findings can be applied to the study of the holographic renormalization group.

[ { "created": "Fri, 8 Nov 2002 20:19:40 GMT", "version": "v1" }, { "created": "Fri, 15 Nov 2002 20:59:40 GMT", "version": "v2" }, { "created": "Tue, 17 Dec 2002 20:36:07 GMT", "version": "v3" }, { "created": "Thu, 27 Feb 2003 23:08:39 GMT", "version": "v4" }, { "created": "Tue, 7 Oct 2003 08:58:36 GMT", "version": "v5" } ]

2009-11-07

[ [ "Sato", "Matsuo", "" ], [ "Tsuchiya", "Asato", "" ] ]

We show that the Born-Infeld action with the Wess-Zumino terms for the Ramond-Ramond fields, which is the D3-brane effective action, is a solution to the Hamilton-Jacobi (H-J) equation of type IIB supergravity. Adopting the radial coordinate as time, we develop the ADM formalism for type IIB supergravity reduced on $S^5$ and derive the H-J equation, which is the classical limit of the Wheeler-De Witt equation and whose solutions are classical on-shell actions. The solution to the H-J equation reproduces the on-shell actions for the supergravity solution of a stack of D3-branes in a $B_2$ field and the near-horizon limit of this supergravity solution, which is conjectured to be dual to noncommutative Yang Mills and reduces to $AdS_5 \times S^5$ in the commutative limit. Our D3-brane effective action is that of a probe D3-brane, and the radial time corresponds to the vacuum expectation value of the Higgs field in the dual Yang Mills. Our findings can be applied to the study of the holographic renormalization group.

5.167609

4.903147

5.986847

5.0581

5.11155

4.879366

5.194892

5.110121

4.789959

6.489246

4.896636

5.054061

5.239742

5.000252

5.027359

5.007795

4.975295

5.061812

5.028111

5.20413

5.035041

hep-th/9509035

Walter Troost

Friedemann Brandt, Walter Troost and Antoine Van Proeyen

The BRST--antibracket cohomology of $2d$ gravity conformally coupled to scalar matter

52 pages, LaTeX. Minor changes, to be published in Nucl. Phys

Nucl.Phys. B464 (1996) 353-408

10.1016/0550-3213(96)00030-2

KUL-TF-95/17

hep-th

null

We compute completely the BRST--antibracket cohomology on local functionals in two-dimensional Weyl invariant gravity for given classical field content (two dimensional metric and scalar matter fields) and gauge symmetries (two dimensional diffeomorphisms and local Weyl transformations). This covers the determination of all classical actions, of all their rigid symmetries, of all background charges and of all candidate gauge anomalies. In particular we show that the antifield dependence can be entirely removed from the anomalies and that, if the target space has isometries, the condition for the absence of matter field dependent Weyl anomalies is more general than the familiar `dilaton equations'.

[ { "created": "Thu, 7 Sep 1995 16:02:09 GMT", "version": "v1" }, { "created": "Wed, 17 Jan 1996 10:37:06 GMT", "version": "v2" } ]

2009-10-28

[ [ "Brandt", "Friedemann", "" ], [ "Troost", "Walter", "" ], [ "Van Proeyen", "Antoine", "" ] ]

We compute completely the BRST--antibracket cohomology on local functionals in two-dimensional Weyl invariant gravity for given classical field content (two dimensional metric and scalar matter fields) and gauge symmetries (two dimensional diffeomorphisms and local Weyl transformations). This covers the determination of all classical actions, of all their rigid symmetries, of all background charges and of all candidate gauge anomalies. In particular we show that the antifield dependence can be entirely removed from the anomalies and that, if the target space has isometries, the condition for the absence of matter field dependent Weyl anomalies is more general than the familiar `dilaton equations'.

11.127678

10.529864

11.75463

10.484451

11.592316

9.841008

10.133211

10.501489

10.263813

12.498928

10.509824

10.65952

11.538837

10.208341

10.651857

10.935925

10.74545

10.320102

10.570369

11.215585

10.443385

hep-th/0505012

Harvendra Singh

More on Tachyon Cosmology in De Sitter Gravity

15pp, 3 figures; references added

JHEP 0601 (2006) 071

10.1088/1126-6708/2006/01/071

null

hep-th astro-ph

null

We aim to study rolling tachyon cosmological solutions in de Sitter gravity. The solutions are taken to be flat FRW type and these are not time-reversal symmetric. We find that cosmological constant of our universe has to be fine-tuned at the level of the action itself, as in KKLT string compactification. The rolling tachyon can give rise to required inflation with suitable choice of the initial conditions which include nonvanishing Hubble constant. We also determine an upper bound on the volume of the compactification manifold.

[ { "created": "Mon, 2 May 2005 12:16:57 GMT", "version": "v1" }, { "created": "Thu, 5 May 2005 09:21:58 GMT", "version": "v2" }, { "created": "Thu, 6 Oct 2005 10:30:56 GMT", "version": "v3" } ]

2009-11-11

[ [ "Singh", "Harvendra", "" ] ]

We aim to study rolling tachyon cosmological solutions in de Sitter gravity. The solutions are taken to be flat FRW type and these are not time-reversal symmetric. We find that cosmological constant of our universe has to be fine-tuned at the level of the action itself, as in KKLT string compactification. The rolling tachyon can give rise to required inflation with suitable choice of the initial conditions which include nonvanishing Hubble constant. We also determine an upper bound on the volume of the compactification manifold.

13.676422

11.066157

13.102077

11.664826

12.30799

12.237041

11.995106

11.863871

11.885302

13.39909

12.144677

11.993261

12.746367

12.069955

11.844728

11.841915

11.99245

11.844422

12.159327

13.089021

12.040785

1606.03605

Marian Stanishkov

RG Domain Wall for the General su(2) Coset Models

19 pages, references added. arXiv admin note: text overlap with arXiv:1606.04328

null

10.1007/JHEP08(2016)096

null

hep-th

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

We consider a RG flow in a general su(2) coset model induced by the least relevant field. This is done using two different approaches. We first compute the mixing coefficients of certain fields in the UV and IR theories using a conformal perturbation theory. The necessary structure constants are computed. The same coefficients can be calculated using the RG domain wall construction of Gaiotto. We compute the corresponding one-point functions and show that the two approaches give the same result in the leading order.

[ { "created": "Sat, 11 Jun 2016 14:52:03 GMT", "version": "v1" }, { "created": "Fri, 1 Jul 2016 10:52:00 GMT", "version": "v2" } ]

2016-09-21

[ [ "Stanishkov", "Marian", "" ] ]

We consider a RG flow in a general su(2) coset model induced by the least relevant field. This is done using two different approaches. We first compute the mixing coefficients of certain fields in the UV and IR theories using a conformal perturbation theory. The necessary structure constants are computed. The same coefficients can be calculated using the RG domain wall construction of Gaiotto. We compute the corresponding one-point functions and show that the two approaches give the same result in the leading order.

12.880369

9.122185

15.233768

10.03538

10.360938

10.367006

9.927795

10.028032

10.009382

16.989714

9.929947

11.061879

14.651209

11.01833

10.889056

11.068793

11.325209

11.260351

11.068537

13.978509

11.438196

2101.08343

Ying-Hsuan Lin

Ying-Hsuan Lin, Shu-Heng Shao

$\mathbb{Z}_N$ Symmetries, Anomalies, and the Modular Bootstrap

26+13 pages, 10 figures, 2 tables; v2: minor revision

Phys. Rev. D 103, 125001 (2021)

10.1103/PhysRevD.103.125001

CALT-TH-2021-002

hep-th cond-mat.str-el

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

We explore constraints on (1+1)$d$ unitary conformal field theory with an internal $\mathbb{Z}_N$ global symmetry, by bounding the lightest symmetry-preserving scalar primary operator using the modular bootstrap. Among the other constraints we have found, we prove the existence of a $\mathbb{Z}_N$-symmetric relevant/marginal operator if $N-1 \le c\le 9-N$ for $N\leq4$, with the endpoints saturated by various WZW models that can be embedded into $(\mathfrak{e}_8)_1$. Its existence implies that robust gapless fixed points are not possible in this range of $c$ if only a $\mathbb{Z}_N$ symmetry is imposed microscopically. We also obtain stronger, more refined bounds that depend on the 't Hooft anomaly of the $\mathbb{Z}_N$ symmetry.

[ { "created": "Wed, 20 Jan 2021 22:19:06 GMT", "version": "v1" }, { "created": "Sat, 29 May 2021 16:50:16 GMT", "version": "v2" } ]

2021-06-09

[ [ "Lin", "Ying-Hsuan", "" ], [ "Shao", "Shu-Heng", "" ] ]

We explore constraints on (1+1)$d$ unitary conformal field theory with an internal $\mathbb{Z}_N$ global symmetry, by bounding the lightest symmetry-preserving scalar primary operator using the modular bootstrap. Among the other constraints we have found, we prove the existence of a $\mathbb{Z}_N$-symmetric relevant/marginal operator if $N-1 \le c\le 9-N$ for $N\leq4$, with the endpoints saturated by various WZW models that can be embedded into $(\mathfrak{e}_8)_1$. Its existence implies that robust gapless fixed points are not possible in this range of $c$ if only a $\mathbb{Z}_N$ symmetry is imposed microscopically. We also obtain stronger, more refined bounds that depend on the 't Hooft anomaly of the $\mathbb{Z}_N$ symmetry.

8.224264

7.58517

9.25031

7.579447

7.721644

7.599079

7.908183

7.216315

7.067452

9.312192

7.369465

7.948612

8.389071

7.615348

7.988947

7.776445

7.745735

7.787043

7.566553

8.514562

7.460421

1001.1227

Wu JianPin

Jian-Pin Wu, Yi Ling

The cosmological perturbation theory in loop cosmology with holonomy corrections

18 pages,typos corrected, reference added, version published in JCAP

JCAP 1005:026,2010

10.1088/1475-7516/2010/05/026

null

hep-th astro-ph.CO gr-qc

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

In this paper we investigate the scalar mode of first-order metric perturbations over spatially flat FRW spacetime when the holonomy correction is taken into account in the semi-classical framework of loop quantum cosmology. By means of the Hamiltonian derivation, the cosmological perturbation equations is obtained in longitudinal gauge. It turns out that in the presence of metric perturbation the holonomy effects influence both background and perturbations, and contribute the non-trivial terms $S_{h1}$ and $S_{h2}$ in the cosmological perturbation equations.

[ { "created": "Fri, 8 Jan 2010 09:38:24 GMT", "version": "v1" }, { "created": "Tue, 12 Jan 2010 11:27:14 GMT", "version": "v2" }, { "created": "Wed, 13 Jan 2010 06:06:17 GMT", "version": "v3" }, { "created": "Fri, 15 Jan 2010 05:46:40 GMT", "version": "v4" }, { "created": "Fri, 21 May 2010 18:06:20 GMT", "version": "v5" } ]

2010-05-28

[ [ "Wu", "Jian-Pin", "" ], [ "Ling", "Yi", "" ] ]

In this paper we investigate the scalar mode of first-order metric perturbations over spatially flat FRW spacetime when the holonomy correction is taken into account in the semi-classical framework of loop quantum cosmology. By means of the Hamiltonian derivation, the cosmological perturbation equations is obtained in longitudinal gauge. It turns out that in the presence of metric perturbation the holonomy effects influence both background and perturbations, and contribute the non-trivial terms $S_{h1}$ and $S_{h2}$ in the cosmological perturbation equations.

7.905126

7.792282

6.947763

6.647998

7.327862

8.151112

8.086201

6.886523

7.427765

7.385222

7.357928

7.287655

7.077993

7.006762

7.04273

7.104733

7.197791

7.118144

7.230122

7.462214

7.154236

hep-th/0602175

Michael Volkov

Peter Forgacs, Sebastien Reuillon, and Mikhail S. Volkov

Twisted Superconducting Semilocal Strings

39 pages, 20 figures

Nucl.Phys.B751:390-418,2006

10.1016/j.nuclphysb.2006.06.016

null

hep-th astro-ph cond-mat.supr-con gr-qc hep-ph

null

A new class of twisted, current carrying, stationary, straight string solutions having finite energy per unit length is constructed numerically in an extended Abelian Higgs model with global SU(2) symmetry. The new solutions correspond to deformations of the embedded Abrikosov-Nielsen-Olesen (ANO) vortices by a twist -- a relative coordinate dependent phase between the two Higgs fields. The twist induces a global current flowing through the string, and the deformed solutions bifurcate with the ANO vortices in the limit of vanishing current. For each value of the winding number $n=1,2...$ (determining the magnetic flux through the plane orthogonal to the string) there are $n$ distinct, two-parametric families of solutions. One of the continuously varying parameters is the twist, or the corresponding current, the other one can be chosen to be the momentum of the string. For fixed values of the momentum and twist, the $n$ distinct solutions have different energies and can be viewed as a lowest energy ``fundamental'' string and its $n-1$ ``excitations'' characterized by different values of their ``polarization''. The latter is defined as the ratio of the angular momentum of the vortex and its momentum. In their rest frame the twisted vortices have lower energy than the embedded ANO vortices and could be of considerable importance in various physical systems (from condensed matter to cosmic strings).

[ { "created": "Fri, 17 Feb 2006 18:44:10 GMT", "version": "v1" } ]

2008-11-26

[ [ "Forgacs", "Peter", "" ], [ "Reuillon", "Sebastien", "" ], [ "Volkov", "Mikhail S.", "" ] ]

A new class of twisted, current carrying, stationary, straight string solutions having finite energy per unit length is constructed numerically in an extended Abelian Higgs model with global SU(2) symmetry. The new solutions correspond to deformations of the embedded Abrikosov-Nielsen-Olesen (ANO) vortices by a twist -- a relative coordinate dependent phase between the two Higgs fields. The twist induces a global current flowing through the string, and the deformed solutions bifurcate with the ANO vortices in the limit of vanishing current. For each value of the winding number $n=1,2...$ (determining the magnetic flux through the plane orthogonal to the string) there are $n$ distinct, two-parametric families of solutions. One of the continuously varying parameters is the twist, or the corresponding current, the other one can be chosen to be the momentum of the string. For fixed values of the momentum and twist, the $n$ distinct solutions have different energies and can be viewed as a lowest energy ``fundamental'' string and its $n-1$ ``excitations'' characterized by different values of their ``polarization''. The latter is defined as the ratio of the angular momentum of the vortex and its momentum. In their rest frame the twisted vortices have lower energy than the embedded ANO vortices and could be of considerable importance in various physical systems (from condensed matter to cosmic strings).

7.549403

7.252521

7.366857

6.932724

7.547187

6.979318

7.494317

6.652696

7.011672

7.977426

6.938701

7.015802

7.057564

7.000725

7.194194

7.032398

7.175641

7.072975

7.032648

7.239856

7.070088

2311.18023

Napat Poovuttikul

Joe Davighi, Nakarin Lohitsiri, Napat Poovuttikul

A Non-Perturbative Mixed Anomaly and Fractional Hydrodynamic Transport

21+9 pages , 9 figures, comments are welcome

null

CERN-TH-2023-213

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

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

We present a new non-perturbative 't Hooft anomaly afflicting a quantum field theory with symmetry group $G=U(1)\times \mathbb{Z}_2$ in four dimensions. We use the Adams spectral sequence to compute that the bordism group $\Omega^\text{Spin}_5(BG)$, which classifies anomalies that remain when perturbative anomalies cancel, is $\mathbb{Z}_4$. By constructing a mapping torus and evaluating the Atiyah-Patodi-Singer $\eta$-invariant, we show that the mod 4 anomaly is generated by a pair of Weyl fermions that are vector-like under $U(1)$, but with only one component charged under $\mathbb{Z}_2$. We construct a simple microscopic field theory that realises the anomaly, before investigating its impact in the hydrodynamic limit. We find that the anomaly dictates transport phenomena in the $U(1)$ current and energy-momentum tensor akin to the chiral vortical and magnetic effects (even though the perturbative anomalies here vanish), but with the conductivities being fractionally quantised in units of a quarter, reflecting the mod 4 nature of the bordism group.Along the way, we compute the (relevant) bordism groups $\Omega^\text{Spin}_d(B\mathbb{Z}_2\times BU(1))$ and $\Omega_d^{\text{Pin}^-}(BU(1))$ in all degrees $d=0$ through 5.

[ { "created": "Wed, 29 Nov 2023 19:09:50 GMT", "version": "v1" } ]

2023-12-01

[ [ "Davighi", "Joe", "" ], [ "Lohitsiri", "Nakarin", "" ], [ "Poovuttikul", "Napat", "" ] ]

We present a new non-perturbative 't Hooft anomaly afflicting a quantum field theory with symmetry group $G=U(1)\times \mathbb{Z}_2$ in four dimensions. We use the Adams spectral sequence to compute that the bordism group $\Omega^\text{Spin}_5(BG)$, which classifies anomalies that remain when perturbative anomalies cancel, is $\mathbb{Z}_4$. By constructing a mapping torus and evaluating the Atiyah-Patodi-Singer $\eta$-invariant, we show that the mod 4 anomaly is generated by a pair of Weyl fermions that are vector-like under $U(1)$, but with only one component charged under $\mathbb{Z}_2$. We construct a simple microscopic field theory that realises the anomaly, before investigating its impact in the hydrodynamic limit. We find that the anomaly dictates transport phenomena in the $U(1)$ current and energy-momentum tensor akin to the chiral vortical and magnetic effects (even though the perturbative anomalies here vanish), but with the conductivities being fractionally quantised in units of a quarter, reflecting the mod 4 nature of the bordism group.Along the way, we compute the (relevant) bordism groups $\Omega^\text{Spin}_d(B\mathbb{Z}_2\times BU(1))$ and $\Omega_d^{\text{Pin}^-}(BU(1))$ in all degrees $d=0$ through 5.

6.121966

6.595147

7.18647

6.394225

6.661173

6.841085

6.527858

6.387698

6.526824

8.231985

6.360536

6.334739

6.442631

5.984966

6.227593

6.178188

6.374434

6.404044

6.122329

6.371115

6.024788

hep-th/0611004

Jurgen Baacke

Jurgen Baacke and Nina Kevlishvili

False vacuum decay by self-consistent bounces in four dimensions

45 pages, 9 figures

Phys.Rev.D75:045001,2007; Erratum-ibid.D76:029903,2007

10.1103/PhysRevD.75.045001 10.1103/PhysRevD.76.029903

DO-TH-06/11

hep-th

null

We compute bounce solutions describing false vacuum decay in a Phi**4 model in four dimensions with quantum back-reaction. The back-reaction of the quantum fluctuations on the bounce profiles is computed in the one-loop and Hartree approximations. This is to be compared with the usual semiclassical approach where one computes the profile from the classical action and determines the one-loop correction from this profile. The computation of the fluctuation determinant is performed using a theorem on functional determinants, in addition we here need the Green' s function of the fluctuation operator in oder to compute the quantum back-reaction. As we are able to separate from the determinant and from the Green' s function the leading perturbative orders, we can regularize and renormalize analytically, in analogy of standard perturbation theory. The iteration towards self-consistent solutions is found to converge for some range of the parameters. Within this range the corrections to the semiclassical action are at most a few percent, the corrections to the transition rate can amount to several orders of magnitude. The strongest deviations happen for large couplings, as to be expected. Beyond some limit, there are no self-consistent bounce solutions.

[ { "created": "Tue, 31 Oct 2006 23:26:45 GMT", "version": "v1" } ]

2014-11-18

[ [ "Baacke", "Jurgen", "" ], [ "Kevlishvili", "Nina", "" ] ]

We compute bounce solutions describing false vacuum decay in a Phi**4 model in four dimensions with quantum back-reaction. The back-reaction of the quantum fluctuations on the bounce profiles is computed in the one-loop and Hartree approximations. This is to be compared with the usual semiclassical approach where one computes the profile from the classical action and determines the one-loop correction from this profile. The computation of the fluctuation determinant is performed using a theorem on functional determinants, in addition we here need the Green' s function of the fluctuation operator in oder to compute the quantum back-reaction. As we are able to separate from the determinant and from the Green' s function the leading perturbative orders, we can regularize and renormalize analytically, in analogy of standard perturbation theory. The iteration towards self-consistent solutions is found to converge for some range of the parameters. Within this range the corrections to the semiclassical action are at most a few percent, the corrections to the transition rate can amount to several orders of magnitude. The strongest deviations happen for large couplings, as to be expected. Beyond some limit, there are no self-consistent bounce solutions.

11.366162

12.354943

11.861816

11.091078

11.886747

11.819561

12.860923

11.860946

11.207309

12.994378

11.552112

11.468656

11.054405

11.070176

10.934256

11.105261

10.904332

11.368362

10.85527

11.132568

11.035971

hep-th/0605235

Elena Caceres

Elena Caceres (Colima U.), Alberto Guijosa (ICN-UNAM)

Drag Force in a Charged N=4 SYM Plasma

16 pages, 1 eps figure; v2: references added, typos fixed; v3: more general ansatz, new nontrivial solution obtained, nonmonotonicity of the drag force made explicit in new figure, version to appear in JHEP

JHEP 0611 (2006) 077

10.1088/1126-6708/2006/11/077

UTTG-07-06, ICN-UNAM-06/05G

hep-th hep-ph

null

Following recent developments, we employ the AdS/CFT correspondence to determine the drag force exerted on an external quark that moves through an N=4 super-Yang-Mills plasma with a non-zero R-charge density (or, equivalently, a non-zero chemical potential). We find that the drag force is larger than in the case where the plasma is neutral, but the dependence on the charge is non-monotonic.

[ { "created": "Tue, 23 May 2006 17:59:51 GMT", "version": "v1" }, { "created": "Thu, 1 Jun 2006 19:26:33 GMT", "version": "v2" }, { "created": "Wed, 15 Nov 2006 22:55:26 GMT", "version": "v3" } ]

2009-11-11

[ [ "Caceres", "Elena", "", "Colima U." ], [ "Guijosa", "Alberto", "", "ICN-UNAM" ] ]

Following recent developments, we employ the AdS/CFT correspondence to determine the drag force exerted on an external quark that moves through an N=4 super-Yang-Mills plasma with a non-zero R-charge density (or, equivalently, a non-zero chemical potential). We find that the drag force is larger than in the case where the plasma is neutral, but the dependence on the charge is non-monotonic.

5.592474

4.069236

4.930003

4.161653

4.029378

4.131474

4.540149

4.048743

3.929904

4.923297

4.298741

4.745777

5.120345

4.779019

4.727373

4.807456

4.828306

4.574116

4.673002

5.141695

4.669431

1103.4620

Alejandra Castro

Alejandra Castro, Nima Lashkari, Alexander Maloney

A de Sitter Farey Tail

48 pages, 2 figures; v2: minor corrections

Phys.Rev.D83:124027,2011

10.1103/PhysRevD.83.124027

null

hep-th gr-qc

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

We consider quantum Einstein gravity in three dimensional de Sitter space. The Euclidean path integral is formulated as a sum over geometries, including both perturbative loop corrections and non-perturbative instanton corrections coming from geometries with non-trivial topology. These non-trivial geometries have a natural physical interpretation. Conventional wisdom states that the sphere is the unique Euclidean continuation of de Sitter space. However, when considering physics only in the causal patch of a single observer other Euclidean geometries, in this case lens spaces, contribute to physical observables. This induces quantum gravitational effects which lead to deviations from the standard thermal behaviour obtained by analytic continuation from the three sphere. The sum over these geometries can be formulated as a sum over cosets of the modular group; this is the de Sitter analog of the celebrated "black hole Farey tail." We compute the vacuum partition function including the sum over these geometries. Perturbative quantum corrections are computed to all orders in perturbation theory using the relationship between Einstein gravity and Chern-Simons theory, which is checked explicitly at tree and one-loop level using heat kernel techniques. The vacuum partition function, including all instanton and perturbative corrections, is shown to diverge in a way which can not be regulated using standard field theory techniques.

[ { "created": "Wed, 23 Mar 2011 20:19:42 GMT", "version": "v1" }, { "created": "Wed, 21 Sep 2011 16:29:01 GMT", "version": "v2" } ]

2011-09-22

[ [ "Castro", "Alejandra", "" ], [ "Lashkari", "Nima", "" ], [ "Maloney", "Alexander", "" ] ]

We consider quantum Einstein gravity in three dimensional de Sitter space. The Euclidean path integral is formulated as a sum over geometries, including both perturbative loop corrections and non-perturbative instanton corrections coming from geometries with non-trivial topology. These non-trivial geometries have a natural physical interpretation. Conventional wisdom states that the sphere is the unique Euclidean continuation of de Sitter space. However, when considering physics only in the causal patch of a single observer other Euclidean geometries, in this case lens spaces, contribute to physical observables. This induces quantum gravitational effects which lead to deviations from the standard thermal behaviour obtained by analytic continuation from the three sphere. The sum over these geometries can be formulated as a sum over cosets of the modular group; this is the de Sitter analog of the celebrated "black hole Farey tail." We compute the vacuum partition function including the sum over these geometries. Perturbative quantum corrections are computed to all orders in perturbation theory using the relationship between Einstein gravity and Chern-Simons theory, which is checked explicitly at tree and one-loop level using heat kernel techniques. The vacuum partition function, including all instanton and perturbative corrections, is shown to diverge in a way which can not be regulated using standard field theory techniques.

7.883005

8.068987

8.276325

7.554343

7.916767

7.355984

7.719257

7.755099

7.962954

8.813152

7.588003

7.640527

7.93654

7.527991

7.464056

7.561569

7.645081

7.551006

7.441457

8.020127

7.507254

hep-th/0611278

Sergey Shadchin

On F-term contribution to effective action

31 pages

JHEP 0708:052,2007

10.1088/1126-6708/2007/08/052

null

hep-th

null

We apply equivariant integration technique, developed in the context of instanton counting, to two dimensional N=2 supersymmetric Yang-Mills models. Twisted superpotential for U(N) model is computed. Connections to the four dimensional case are discussed. Also we make some comments about the eight dimensional model which manifests similar features.

[ { "created": "Mon, 27 Nov 2006 09:59:44 GMT", "version": "v1" } ]

2010-10-27

[ [ "Shadchin", "Sergey", "" ] ]

We apply equivariant integration technique, developed in the context of instanton counting, to two dimensional N=2 supersymmetric Yang-Mills models. Twisted superpotential for U(N) model is computed. Connections to the four dimensional case are discussed. Also we make some comments about the eight dimensional model which manifests similar features.

17.188387

14.803291

16.540152

12.91186

14.030385

14.922756

14.200351

12.709249

13.26201

15.621641

13.024701

13.129215

14.235479

13.069609

12.830378

13.671271

12.721497

13.234159

12.770481

13.61143

12.605597

1412.0665

Mehrdad Mirbabayi

Mehrdad Mirbabayi, Leonardo Senatore, Eva Silverstein, Matias Zaldarriaga

Gravitational Waves and the Scale of Inflation

12 pages

Phys. Rev. D 91, 063518 (2015)

10.1103/PhysRevD.91.063518

null

hep-th astro-ph.CO

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

We revisit alternative mechanisms of gravitational wave production during inflation and argue that they generically emit a non-negligible amount of scalar fluctuations. We find the scalar power is larger than the tensor power by a factor of order $1/\epsilon^2$. For an appreciable tensor contribution the associated scalar emission completely dominates the zero-point fluctuations of inflaton, resulting in a tensor-to-scalar ratio $r\sim \epsilon^2$. A more quantitative result can be obtained if one further assumes that gravitational waves are emitted by localized sub-horizon processes, giving $r_{\rm max} \simeq 0.3 \epsilon^2$. However, $\epsilon$ is generally time dependent, and this result for $r$ depends on its instantaneous value during the production of the sources, rather than just its average value, somewhat relaxing constraints from the tilt $n_s$. We calculate the scalar 3-point correlation function in the same class of models and show that non-Gaussianity cannot be made arbitrarily small, i.e. $f_{NL} \geq 1$, independently of the value of $r$. Possible exceptions in multi-field scenarios are discussed.

[ { "created": "Mon, 1 Dec 2014 21:00:08 GMT", "version": "v1" }, { "created": "Fri, 17 Apr 2015 21:04:11 GMT", "version": "v2" } ]

2015-04-21

[ [ "Mirbabayi", "Mehrdad", "" ], [ "Senatore", "Leonardo", "" ], [ "Silverstein", "Eva", "" ], [ "Zaldarriaga", "Matias", "" ] ]

We revisit alternative mechanisms of gravitational wave production during inflation and argue that they generically emit a non-negligible amount of scalar fluctuations. We find the scalar power is larger than the tensor power by a factor of order $1/\epsilon^2$. For an appreciable tensor contribution the associated scalar emission completely dominates the zero-point fluctuations of inflaton, resulting in a tensor-to-scalar ratio $r\sim \epsilon^2$. A more quantitative result can be obtained if one further assumes that gravitational waves are emitted by localized sub-horizon processes, giving $r_{\rm max} \simeq 0.3 \epsilon^2$. However, $\epsilon$ is generally time dependent, and this result for $r$ depends on its instantaneous value during the production of the sources, rather than just its average value, somewhat relaxing constraints from the tilt $n_s$. We calculate the scalar 3-point correlation function in the same class of models and show that non-Gaussianity cannot be made arbitrarily small, i.e. $f_{NL} \geq 1$, independently of the value of $r$. Possible exceptions in multi-field scenarios are discussed.

8.830459

8.78129

9.359923

9.024556

9.110472

9.583457

9.926559

9.297716

9.172851

9.402397

9.107538

8.742875

8.713993

8.705012

8.802873

8.997351

8.676634

8.924243

8.812803

8.671755

8.837605

hep-th/0011065

Christof Schmidhuber

Strings from Logic

Talk, 19 pp, 7 figures

null

CERN-TH/2000-316

hep-th cond-mat.stat-mech gr-qc math-ph math.LO math.MP physics.comp-ph quant-ph

null

What are strings made of? The possibility is discussed that strings are purely mathematical objects, made of logical axioms. More precisely, proofs in simple logical calculi are represented by graphs that can be interpreted as the Feynman diagrams of certain large-N field theories. Each vertex represents an axiom. Strings arise, because these large-N theories are dual to string theories. These ``logical quantum field theories'' map theorems into the space of functions of two parameters: N and the coupling constant. Undecidable theorems might be related to nonperturbative field theory effects.

[ { "created": "Thu, 9 Nov 2000 00:01:34 GMT", "version": "v1" } ]

2016-09-06

[ [ "Schmidhuber", "Christof", "" ] ]

What are strings made of? The possibility is discussed that strings are purely mathematical objects, made of logical axioms. More precisely, proofs in simple logical calculi are represented by graphs that can be interpreted as the Feynman diagrams of certain large-N field theories. Each vertex represents an axiom. Strings arise, because these large-N theories are dual to string theories. These ``logical quantum field theories'' map theorems into the space of functions of two parameters: N and the coupling constant. Undecidable theorems might be related to nonperturbative field theory effects.

13.509441

16.666485

15.773149

12.857085

13.116737

14.867806

15.159443

13.640041

13.37061

15.104159

13.193277

12.856693

11.874459

12.407233

12.039484

12.793026

12.620509

12.419799

12.36687

11.541928

11.810438

hep-th/9409117

Sergey Fedoruk

S. Fedoruk, V.G. Zima

Covariant Quantization of d=4 Brink-Schwarz Superparticle with Lorentz Harmonics

V2: 1 + 26 pages, published version

Theor.Math.Phys.102:305-322,1995; Teor.Mat.Fiz.102:420-445,1995

10.1007/BF01017881

null

hep-th

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

Covariant first and second quantization of the free d=4 massless superparticle are implemented with the introduction of purely gauge auxiliary spinor Lorentz harmonics. It is shown that the general solution of the condition of maslessness is a sum of two independent chiral superfields with each of them corresponding to finite superspin. A translationally covariant, in general bijective correspondence between harmonic and massless superfields is constructed. By calculation of the commutation function it is shown that in the considered approach only harmonic fields with correct connection between spin and statistics and with integer negative homogeneity index satisfy the microcausality condition. It is emphasized that harmonic fields that arise are reducible at integer points. The index spinor technique is used to describe infinite-component fields of finite spin; the equations of motion of such fields are obtained, and for them Weinberg's theorem on the connection between massless helicity particles and the type of nongauge field that describes them is generalized.

[ { "created": "Tue, 20 Sep 1994 09:46:00 GMT", "version": "v1" }, { "created": "Mon, 23 Sep 2019 19:51:53 GMT", "version": "v2" } ]

2019-09-25

[ [ "Fedoruk", "S.", "" ], [ "Zima", "V. G.", "" ] ]

Covariant first and second quantization of the free d=4 massless superparticle are implemented with the introduction of purely gauge auxiliary spinor Lorentz harmonics. It is shown that the general solution of the condition of maslessness is a sum of two independent chiral superfields with each of them corresponding to finite superspin. A translationally covariant, in general bijective correspondence between harmonic and massless superfields is constructed. By calculation of the commutation function it is shown that in the considered approach only harmonic fields with correct connection between spin and statistics and with integer negative homogeneity index satisfy the microcausality condition. It is emphasized that harmonic fields that arise are reducible at integer points. The index spinor technique is used to describe infinite-component fields of finite spin; the equations of motion of such fields are obtained, and for them Weinberg's theorem on the connection between massless helicity particles and the type of nongauge field that describes them is generalized.

19.117094

22.358057

21.986261

20.254898

19.350744

19.585947

21.06509

17.694149

19.436794

22.375505

18.923012

17.498871

19.67095

18.021906

18.575071

17.700537

18.037716

18.116812

18.092182

19.668587

17.792475

0707.3026

Igor Salom

Parabose algebra as generalized conformal supersymmetry

null

hep-th

null

The form of realistic space-time supersymmetry is fixed, by Haag-Lopuszanski-Sohnius theorem, either to the familiar form of Poincare supersymmetry or, in massless case, to that of conformal supersymmetry. We question necessity for such strict restriction in the context of theories with broken symmetries. In particular, we consider parabose N=4 algebra as an extension of conformal supersymmetry in four dimensions (coinciding with the, so called, generalized conformal supersymmetry). We show that sacrificing of manifest Lorentz covariance leads to interpretation of the generalized conformal supersymmetry as symmetry that contains, on equal footing, two "rotation" groups. It is possible to reduce this large symmetry down to observable one by simply breaking one of these two SU(2) isomorphic groups down to its U(1) subgroup.

[ { "created": "Fri, 20 Jul 2007 09:41:22 GMT", "version": "v1" } ]

2007-07-23

[ [ "Salom", "Igor", "" ] ]

The form of realistic space-time supersymmetry is fixed, by Haag-Lopuszanski-Sohnius theorem, either to the familiar form of Poincare supersymmetry or, in massless case, to that of conformal supersymmetry. We question necessity for such strict restriction in the context of theories with broken symmetries. In particular, we consider parabose N=4 algebra as an extension of conformal supersymmetry in four dimensions (coinciding with the, so called, generalized conformal supersymmetry). We show that sacrificing of manifest Lorentz covariance leads to interpretation of the generalized conformal supersymmetry as symmetry that contains, on equal footing, two "rotation" groups. It is possible to reduce this large symmetry down to observable one by simply breaking one of these two SU(2) isomorphic groups down to its U(1) subgroup.

10.463202

11.508194

11.749408

10.042771

11.031342

11.486826

10.556274

10.38905

10.689506

12.112693

10.360497

9.773199

10.598993

10.182586

10.203289

10.307136

10.271466

9.962132

10.155075

10.122698

9.798599

2005.05146

Alexandros Kehagias

Gia Dvali, Alex Kehagias, Antonio Riotto

Inflation and Decoupling

5 pages

null

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

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

Decoupling of heavy modes in effective low energy theory is one of the most fundamental concepts in physics. It tells us that modes must have a negligible effect on the physics of gravitational backgrounds with curvature radius larger than their wavelengths. Despite this, there exist claims that trans-Planckian modes put severe bound on the duration of inflation even when the Hubble parameter is negligible as compared to the Planck mass. If true, this would mean that inflation violates the principle of decoupling or at least requires its reformulation. We clarify the fundamental misconception on which these bounds are based and respectively refute them. Our conclusion is that inflation fully falls within the validity of a reliable effective field theory treatment and does not suffer from any spurious trans-Planckian problem.

[ { "created": "Mon, 11 May 2020 14:37:23 GMT", "version": "v1" } ]

2020-05-12

[ [ "Dvali", "Gia", "" ], [ "Kehagias", "Alex", "" ], [ "Riotto", "Antonio", "" ] ]

Decoupling of heavy modes in effective low energy theory is one of the most fundamental concepts in physics. It tells us that modes must have a negligible effect on the physics of gravitational backgrounds with curvature radius larger than their wavelengths. Despite this, there exist claims that trans-Planckian modes put severe bound on the duration of inflation even when the Hubble parameter is negligible as compared to the Planck mass. If true, this would mean that inflation violates the principle of decoupling or at least requires its reformulation. We clarify the fundamental misconception on which these bounds are based and respectively refute them. Our conclusion is that inflation fully falls within the validity of a reliable effective field theory treatment and does not suffer from any spurious trans-Planckian problem.

12.433297

12.40227

11.265155

11.182595

11.707821

13.148975

12.50352

11.123604

11.523838

12.420478

11.914326

10.86804

10.504659

10.704055

11.183982

10.73054

11.553367

10.981794

10.837189

11.399628

11.373004

1211.3001

Ion Vasile Vancea

M. C. B. Abdalla, L. Holender, M. A. Santos and I. V. Vancea

Plane waves in noncommutative fluids

11 pages. Version published as a Letter

null

10.1016/j.physleta.2013.03.008

ICTP-SAIFR/2012-009

hep-th gr-qc math-ph math.MP physics.flu-dyn quant-ph

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

We study the dynamics of the noncommutative fuid in the Snyder space perturbatively at the first order in powers of the noncommutative parameter. The linearized noncommutative fluid dynamics is described by a system of coupled linear partial differential equations in which the variables are the fluid density and the fluid potentials. We show that these equations admit a set of solutions that are monocromatic plane waves for the fluid density and two of the potentials and a linear function for the third potential. The energy-momentum tensor of the plane waves is calculated.

[ { "created": "Tue, 13 Nov 2012 14:35:59 GMT", "version": "v1" }, { "created": "Fri, 24 May 2013 19:46:47 GMT", "version": "v2" } ]

2016-11-26

[ [ "Abdalla", "M. C. B.", "" ], [ "Holender", "L.", "" ], [ "Santos", "M. A.", "" ], [ "Vancea", "I. V.", "" ] ]

We study the dynamics of the noncommutative fuid in the Snyder space perturbatively at the first order in powers of the noncommutative parameter. The linearized noncommutative fluid dynamics is described by a system of coupled linear partial differential equations in which the variables are the fluid density and the fluid potentials. We show that these equations admit a set of solutions that are monocromatic plane waves for the fluid density and two of the potentials and a linear function for the third potential. The energy-momentum tensor of the plane waves is calculated.

7.564739

7.643043

7.34232

7.923746

7.313877

7.819893

7.435777

7.222468

7.896986

8.038144

7.489783

6.77615

7.491797

7.347361

7.26812

7.303401

7.199216

7.263338

7.336578

7.73166

7.069561

hep-th/0208126

Akikazu Hashimoto

Akikazu Hashimoto and Savdeep Sethi

Holography and String Dynamics in Time-dependent Backgrounds

10 pages, minor changes, references added

Phys.Rev.Lett. 89 (2002) 261601

10.1103/PhysRevLett.89.261601

EFI-02-98

hep-th gr-qc

null

We study the dynamics of D-branes in a smooth time-dependent background. The theory on the branes is a time-dependent non-commutative field theory. We find the metric and fluxes that determine the dual holographic closed string theory. This provides a concrete example of holography in a cosmological setting.

[ { "created": "Mon, 19 Aug 2002 16:53:41 GMT", "version": "v1" }, { "created": "Mon, 4 Nov 2002 22:22:56 GMT", "version": "v2" } ]

2009-11-07

[ [ "Hashimoto", "Akikazu", "" ], [ "Sethi", "Savdeep", "" ] ]

We study the dynamics of D-branes in a smooth time-dependent background. The theory on the branes is a time-dependent non-commutative field theory. We find the metric and fluxes that determine the dual holographic closed string theory. This provides a concrete example of holography in a cosmological setting.

9.151373

7.12025

9.354973

7.482315

7.465359

7.096924

7.857649

8.137053

7.408262

9.477801

7.661376

7.518197

8.736545

8.133299

7.751223

8.174515

7.714922

8.116892

7.848375

8.697187

7.584047

hep-th/9307033

null

A. Mikovic and M. Navarro

Symplectic Structure of 2D Dilaton Gravity

12 pgs, Imperial TP/92-93/37, La-Tex file

Phys.Lett.B315:267-276,1993

10.1016/0370-2693(93)91611-P

null

hep-th

null

We analyze the symplectic structure of two-dimensional dilaton gravity by evaluating the symplectic form on the space of classical solutions. The case when the spatial manifold is compact is studied in detail. When the matter is absent we find that the reduced phase space is a two-dimensional cotangent bundle and determine the Hilbert space of the quantum theory. In the non-compact case the symplectic form is not well defined due to an unresolved ambiguity in the choice of the boundary terms.

[ { "created": "Tue, 6 Jul 1993 09:56:16 GMT", "version": "v1" } ]

2009-01-16

[ [ "Mikovic", "A.", "" ], [ "Navarro", "M.", "" ] ]

We analyze the symplectic structure of two-dimensional dilaton gravity by evaluating the symplectic form on the space of classical solutions. The case when the spatial manifold is compact is studied in detail. When the matter is absent we find that the reduced phase space is a two-dimensional cotangent bundle and determine the Hilbert space of the quantum theory. In the non-compact case the symplectic form is not well defined due to an unresolved ambiguity in the choice of the boundary terms.

7.262083

6.363074

6.439862

6.297151

5.812725

6.609012

6.34801

6.186773

6.189257

7.118117

6.49314

6.318253

6.737445

6.62439

6.360942

6.284747

6.646953

6.363721

6.642498

6.934362

6.39575

2210.09271

Ilya Lvovich Shapiro

P.M. Lavrov and I.L. Shapiro

Gauge invariant renormalizability of quantum gravity

References added. 39 pages, no figures. Invited chapter for the Section "Effective Quantum Gravity" of the "Handbook of Quantum Gravity" (Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer Singapore, expected in 2023). Review paper is mainly based on arXiv:1902.04687, with permission from Physical Review D

Handbook of Quantum Gravity''. Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer Singapore, 2023

10.1007/978-981-19-3079-9_9-1

ISBN: 978-981-19-3079-9

hep-th gr-qc

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

The current understanding of renormalization in quantum gravity (QG) is based on the fact that UV divergences of effective actions in the covariant QG models are covariant local expressions. This fundamental statement plays a central role in QG and, therefore, it is important to prove it for the widest possible range of the QG theories. Using the Batalin-Vilkovisky technique and the background field method, we elaborate the proof of gauge invariant renormalizability for a generic model of quantum gravity that is diffeomorphism invariant and does not have additional, potentially anomalous, symmetries.

[ { "created": "Mon, 17 Oct 2022 17:21:54 GMT", "version": "v1" }, { "created": "Thu, 20 Oct 2022 23:07:10 GMT", "version": "v2" } ]

2024-07-30

[ [ "Lavrov", "P. M.", "" ], [ "Shapiro", "I. L.", "" ] ]

The current understanding of renormalization in quantum gravity (QG) is based on the fact that UV divergences of effective actions in the covariant QG models are covariant local expressions. This fundamental statement plays a central role in QG and, therefore, it is important to prove it for the widest possible range of the QG theories. Using the Batalin-Vilkovisky technique and the background field method, we elaborate the proof of gauge invariant renormalizability for a generic model of quantum gravity that is diffeomorphism invariant and does not have additional, potentially anomalous, symmetries.

8.258707

7.814496

8.39977

8.199114

8.287745

8.107862

8.566698

7.608515

7.97531

9.325269

7.693163

7.912011

7.598612

7.691812

8.142548

7.942996

7.947195

7.720967

7.956656

7.857471

7.833698

0704.3484

Chethan Krishnan

Jarah Evslin, Chethan Krishnan, Stanislav Kuperstein

Cascading Quivers from Decaying D-branes

11 pages, 1 figure; v2: references added

JHEP0708:020,2007

10.1088/1126-6708/2007/08/020

null

hep-th

null

We use an argument analogous to that of Kachru, Pearson and Verlinde to argue that cascades in L^{a,b,c} quiver gauge theories always preserve the form of the quiver, and that all gauge groups drop at each step by the number M of fractional branes. In particular, we demonstrate that an NS5-brane that sweeps out the S^3 of the base of L^{a,b,c} destroys M D3-branes.

[ { "created": "Thu, 26 Apr 2007 10:06:05 GMT", "version": "v1" }, { "created": "Mon, 7 May 2007 16:08:53 GMT", "version": "v2" } ]

2008-11-26

[ [ "Evslin", "Jarah", "" ], [ "Krishnan", "Chethan", "" ], [ "Kuperstein", "Stanislav", "" ] ]

We use an argument analogous to that of Kachru, Pearson and Verlinde to argue that cascades in L^{a,b,c} quiver gauge theories always preserve the form of the quiver, and that all gauge groups drop at each step by the number M of fractional branes. In particular, we demonstrate that an NS5-brane that sweeps out the S^3 of the base of L^{a,b,c} destroys M D3-branes.

13.913937

13.182511

15.717497

12.004857

12.844762

12.492999

12.736505

11.834229

12.246357

16.378702

11.853869

11.839563

12.876184

11.6377

11.714612

12.077023

11.318209

11.058712

10.691091

13.124166

11.52793

2207.09474

Marc Gillioz

Conformal field theory for particle physicists

70 pages, 10 figures. v2: typos fixed. v3: publisher's acknowledgement added. Feedback welcome

Marc Gillioz, "Conformal Field Theory for Particle Physicists: From QFT Axioms to the Modern Conformal Bootstrap", 2023, SpringerBriefs in Physics

10.1007/978-3-031-27086-4

null

hep-th hep-ph

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

This is a set of introductory lecture notes on conformal field theory. Unlike most existing reviews on the subject, CFT is presented here from the perspective of a unitary quantum field theory in Minkowski space-time. It begins with a non-perturbative formulation of quantum field theory (Wightman axioms), and then gradually focuses on the implications of scale and special conformal symmetry, all the way to the modern conformal bootstrap. This approach includes topics often left out, such as subtleties of conformal transformations in Minkowski space-time, the construction of Wightman functions and time-ordered correlators both in position- and momentum-space, unitarity bounds derived from the spectral representation, and the appearance of UV and IR divergences.

[ { "created": "Tue, 19 Jul 2022 18:00:04 GMT", "version": "v1" }, { "created": "Mon, 8 Aug 2022 13:43:07 GMT", "version": "v2" }, { "created": "Wed, 3 May 2023 14:49:13 GMT", "version": "v3" } ]

2023-05-04

[ [ "Gillioz", "Marc", "" ] ]

This is a set of introductory lecture notes on conformal field theory. Unlike most existing reviews on the subject, CFT is presented here from the perspective of a unitary quantum field theory in Minkowski space-time. It begins with a non-perturbative formulation of quantum field theory (Wightman axioms), and then gradually focuses on the implications of scale and special conformal symmetry, all the way to the modern conformal bootstrap. This approach includes topics often left out, such as subtleties of conformal transformations in Minkowski space-time, the construction of Wightman functions and time-ordered correlators both in position- and momentum-space, unitarity bounds derived from the spectral representation, and the appearance of UV and IR divergences.

7.792001

6.186591

7.712544

6.438848

6.899663

6.53794

6.508469

5.925297

6.403483

7.343613

6.450534

6.439507

6.755914

6.383527

6.257146

6.648684

6.522746

6.384807

6.396015

6.645647

6.215056

0804.4190

Carl Bender

Carl M. Bender and Philip D. Mannheim

Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart

39 pages, 0 figures

null

10.1103/PhysRevD.78.025022

null

hep-th

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

In a recent paper Bender and Mannheim showed that the unequal-frequency fourth-order derivative Pais-Uhlenbeck oscillator model has a realization in which the energy eigenvalues are real and bounded below, the Hilbert-space inner product is positive definite, and time evolution is unitary. Central to that analysis was the recognition that the Hamiltonian $H_{\rm PU}$ of the model is PT symmetric. This Hamiltonian was mapped to a conventional Dirac-Hermitian Hamiltonian via a similarity transformation whose form was found exactly. The present paper explores the equal-frequency limit of the same model. It is shown that in this limit the similarity transform that was used for the unequal-frequency case becomes singular and that $H_{\rm PU}$ becomes a Jordan-block operator, which is nondiagonalizable and has fewer energy eigenstates than eigenvalues. Such a Hamiltonian has no Hermitian counterpart. Thus, the equal-frequency PT theory emerges as a distinct realization of quantum mechanics. The quantum mechanics associated with this Jordan-block Hamiltonian can be treated exactly. It is shown that the Hilbert space is complete with a set of nonstationary solutions to the Schr\"odinger equation replacing the missing stationary ones. These nonstationary states are needed to establish that the Jordan-block Hamiltonian of the equal-frequency Pais-Uhlenbeck model generates unitary time evolution.

[ { "created": "Fri, 25 Apr 2008 23:50:14 GMT", "version": "v1" } ]

2009-11-13

[ [ "Bender", "Carl M.", "" ], [ "Mannheim", "Philip D.", "" ] ]

In a recent paper Bender and Mannheim showed that the unequal-frequency fourth-order derivative Pais-Uhlenbeck oscillator model has a realization in which the energy eigenvalues are real and bounded below, the Hilbert-space inner product is positive definite, and time evolution is unitary. Central to that analysis was the recognition that the Hamiltonian $H_{\rm PU}$ of the model is PT symmetric. This Hamiltonian was mapped to a conventional Dirac-Hermitian Hamiltonian via a similarity transformation whose form was found exactly. The present paper explores the equal-frequency limit of the same model. It is shown that in this limit the similarity transform that was used for the unequal-frequency case becomes singular and that $H_{\rm PU}$ becomes a Jordan-block operator, which is nondiagonalizable and has fewer energy eigenstates than eigenvalues. Such a Hamiltonian has no Hermitian counterpart. Thus, the equal-frequency PT theory emerges as a distinct realization of quantum mechanics. The quantum mechanics associated with this Jordan-block Hamiltonian can be treated exactly. It is shown that the Hilbert space is complete with a set of nonstationary solutions to the Schr\"odinger equation replacing the missing stationary ones. These nonstationary states are needed to establish that the Jordan-block Hamiltonian of the equal-frequency Pais-Uhlenbeck model generates unitary time evolution.

7.958224

7.478711

7.909961

7.148592

7.23198

7.783989

8.080475

7.517536

7.052645

8.582215

7.374567

7.536616

7.365909

7.293598

7.71555

7.434226

7.455113

7.205482

7.312892

7.690261

7.601358

1007.2133

Jan Weenink

Jan Weenink and Tomislav Prokopec

Gauge invariant cosmological perturbations for the nonminimally coupled inflaton field

21 pages, references added, typos corrected, extended section IV on Higgs inflation

Phys.Rev.D82:123510,2010

10.1103/PhysRevD.82.123510

null

hep-th astro-ph.CO gr-qc

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

We construct the gauge invariant free action for cosmological perturbations for the nonminimally coupled inflaton field in the Jordan frame. For this the phase space formalism is used, which keeps track of all the dynamical and constraint fields. We perform explicit conformal transformations to demonstrate the physical equivalence between the Jordan and Einstein frames at the level of quadratic perturbations. We show how to generalize the formalism to the case of a more complicated scalar sector with an internal symmetry, such as Higgs inflation. This work represents a first step in developing gauge invariant perturbation theory for nonminimally coupled inflationary models.

[ { "created": "Tue, 13 Jul 2010 16:28:57 GMT", "version": "v1" }, { "created": "Tue, 7 Dec 2010 10:24:54 GMT", "version": "v2" } ]

2010-12-23

[ [ "Weenink", "Jan", "" ], [ "Prokopec", "Tomislav", "" ] ]

We construct the gauge invariant free action for cosmological perturbations for the nonminimally coupled inflaton field in the Jordan frame. For this the phase space formalism is used, which keeps track of all the dynamical and constraint fields. We perform explicit conformal transformations to demonstrate the physical equivalence between the Jordan and Einstein frames at the level of quadratic perturbations. We show how to generalize the formalism to the case of a more complicated scalar sector with an internal symmetry, such as Higgs inflation. This work represents a first step in developing gauge invariant perturbation theory for nonminimally coupled inflationary models.

7.979785

8.302049

7.366301

7.394247

8.199847

8.320893

8.205659

7.680948

7.786746

8.167627

7.80663

7.695036

7.7821

7.684902

7.771571

7.941852

7.719389

7.429957

7.826205

7.935002

7.532567

hep-th/0304087

Anton Galajinsky

Stefano Bellucci, Anton Galajinsky and Sergey Krivonos

Many-Body Superconformal Systems from Hamiltonian Reductions

12 pages, no figures. v2: Title changed. New material and acknowledgements added

Phys.Rev. D68 (2003) 064010

10.1103/PhysRevD.68.064010

null

hep-th

null

We propose a new reduction mechanism which allows one to construct n-particle (super)conformal theories with pairwise interaction starting from a composite system involving n(n-1)/2+1 copies of the ordinary (super)conformal mechanics. Applications of the scheme include an N=4 superconformal extension for a complexification of the Calogero model and a D(2,1|\alpha)-invariant n-particle system.

[ { "created": "Wed, 9 Apr 2003 15:05:18 GMT", "version": "v1" }, { "created": "Wed, 14 May 2003 15:56:55 GMT", "version": "v2" } ]

2009-11-10

[ [ "Bellucci", "Stefano", "" ], [ "Galajinsky", "Anton", "" ], [ "Krivonos", "Sergey", "" ] ]

We propose a new reduction mechanism which allows one to construct n-particle (super)conformal theories with pairwise interaction starting from a composite system involving n(n-1)/2+1 copies of the ordinary (super)conformal mechanics. Applications of the scheme include an N=4 superconformal extension for a complexification of the Calogero model and a D(2,1|\alpha)-invariant n-particle system.

11.421154

10.579848

14.640196

9.600224

10.691292

9.552139

8.73572

10.050532

10.760748

13.446837

9.591114

9.857422

12.341427

10.034215

9.135688

9.924342

10.060611

9.395637

10.589458

12.299356

9.90934

1703.05222

Sven K\"oppel

Sven K\"oppel, Marco Knipfer, Maximiliano Isi, Jonas Mureika, Piero Nicolini

Generalized uncertainty principle and extra dimensions

7 pages, 1 figure, talk given at the 2nd Karl Schwarzschild Meeting, Frankfurt am Main, Germany, July 2015; to be published in Springer Proceedings in Physics. V3: minor corrections

null

hep-th gr-qc

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

The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking nonlocal modifications of the gravity action. We present the problem of extending such a GUP scenario to higher dimensional spacetimes and we critically review the existing literature on the topic.

[ { "created": "Wed, 15 Mar 2017 15:54:57 GMT", "version": "v1" }, { "created": "Tue, 28 Mar 2017 14:45:43 GMT", "version": "v2" }, { "created": "Mon, 12 Jun 2017 08:12:24 GMT", "version": "v3" } ]

2017-06-14

[ [ "Köppel", "Sven", "" ], [ "Knipfer", "Marco", "" ], [ "Isi", "Maximiliano", "" ], [ "Mureika", "Jonas", "" ], [ "Nicolini", "Piero", "" ] ]

The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking nonlocal modifications of the gravity action. We present the problem of extending such a GUP scenario to higher dimensional spacetimes and we critically review the existing literature on the topic.

9.102454

8.115541

8.717628

8.381845

8.095293

8.933987

8.61712

8.052926

8.836985

8.338163

8.572432

8.465899

8.022884

8.117146

8.740299

8.554915

8.182597

8.505464

8.562662

7.920341

8.255242

hep-th/0107075

Dileep P. Jatkar

Dileep P. Jatkar, Subrata Sur and Radhika Vathsan

A Note on Fermion and Gauge Couplings in Field Theory Models for Tachyon Condensation

10 pages, 2 figures, LaTeX

Phys.Lett. B520 (2001) 391-397

10.1016/S0370-2693(01)01133-9

MRI-P-010701

hep-th

null

We study soliton solutions in supersymmetric scalar field theory with a class of potentials. We study both bosonic and fermionic zero-modes around the soliton solution. We study two possible couplings of gauge fields to these models. While the Born-Infeld like coupling has one normalizable mode (the zero mode), the other kind of coupling has no normalizable modes. We show that quantum mechanical problem which determines the spectrum of fluctuation modes of the scalar, fermion and the gauge field is identical. We also show that only the lowest lying mode, i.e., the zero mode, is normalizable and the rest of the spectrum is continuous.

[ { "created": "Tue, 10 Jul 2001 05:54:27 GMT", "version": "v1" } ]

2009-11-07

[ [ "Jatkar", "Dileep P.", "" ], [ "Sur", "Subrata", "" ], [ "Vathsan", "Radhika", "" ] ]

We study soliton solutions in supersymmetric scalar field theory with a class of potentials. We study both bosonic and fermionic zero-modes around the soliton solution. We study two possible couplings of gauge fields to these models. While the Born-Infeld like coupling has one normalizable mode (the zero mode), the other kind of coupling has no normalizable modes. We show that quantum mechanical problem which determines the spectrum of fluctuation modes of the scalar, fermion and the gauge field is identical. We also show that only the lowest lying mode, i.e., the zero mode, is normalizable and the rest of the spectrum is continuous.

9.156137

8.648114

8.885268

8.162206

7.922903

8.244944

8.434528

8.280756

8.018906

10.134139

8.024775

8.743429

9.098464

8.488471

8.790535

8.651752

8.335822

8.639155

8.726851

8.95164

8.607785

1102.3166

Reinhard Alkofer

On Confinement, Chiral Symmetry Breaking, and the UA(1) anomaly in Functional Approaches

10 pages, 2 figures; talk given at the workshop "The many faces of QCD", 1-5 Nov 2010, Ghent, Belgium

PoS FacesQCD:030,2010

null

hep-th hep-ph

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

The so-called decoupling and scaling solutions of functional equations of Landau gauge Yang-Mills theory are briefly reviewed. In both types of solutions the positivity violation seen in the gluon propagator is taken as an indication of gluon confinement. In the scaling solution the resulting infrared singularities of the quark-gluon vertex are responsible for the linear potential between static quarks and are therefore signaling quark confinement. A corresponding description of the UA(1) anomaly in functional approaches is only known for the scaling solution. Nevertheless, it seems puzzling at first sight that quark confinement is related to the dynamical and anomalous breaking of chiral symmetry in a self-consistent manner: One obtains either all these phenomena or none. For the scaling solution also fundamental scalar fields are confined. This provides evidence that within functional approaches static confinement is an universal property of the gauge sector even though it is formally represented in the functional equations of the matter sector.

[ { "created": "Tue, 15 Feb 2011 20:00:46 GMT", "version": "v1" } ]

2011-09-06

[ [ "Alkofer", "Reinhard", "" ] ]

The so-called decoupling and scaling solutions of functional equations of Landau gauge Yang-Mills theory are briefly reviewed. In both types of solutions the positivity violation seen in the gluon propagator is taken as an indication of gluon confinement. In the scaling solution the resulting infrared singularities of the quark-gluon vertex are responsible for the linear potential between static quarks and are therefore signaling quark confinement. A corresponding description of the UA(1) anomaly in functional approaches is only known for the scaling solution. Nevertheless, it seems puzzling at first sight that quark confinement is related to the dynamical and anomalous breaking of chiral symmetry in a self-consistent manner: One obtains either all these phenomena or none. For the scaling solution also fundamental scalar fields are confined. This provides evidence that within functional approaches static confinement is an universal property of the gauge sector even though it is formally represented in the functional equations of the matter sector.

12.852187

13.810391

12.258285

11.846339

13.309802

13.859869

13.246544

13.274891

12.63028

13.390502

12.90444

13.003182

11.72586

12.245627

12.512712

13.054896

12.040602

12.596055

11.935726

12.446208

12.801716

1503.01579

Panagiota Kanti

Panagiota Kanti, Radouane Gannouji and Naresh Dadhich

Gauss-Bonnet Inflation

6 pages, Revtex, 3 figures, introduction updated, a section added, typos corrected, accepted as a Rapid Communications article in Physical Review D

Phys. Rev. D 92, 041302 (2015)

10.1103/PhysRevD.92.041302

null

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

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

We consider an Einstein-Scalar-Gauss-Bonnet gravitational theory, and argue that at early times the Ricci scalar can be safely ignored. We then demonstrate that the pure scalar-Gauss-Bonnet theory, with a quadratic coupling function, naturally supports inflationary -- de Sitter -- solutions. During inflation, the scalar field decays exponentially and its effective potential remains always bounded. The theory contains also solutions where these de Sitter phases possess a natural exit mechanism and are replaced by linearly expanding -- Milne -- phases.

[ { "created": "Thu, 5 Mar 2015 09:03:41 GMT", "version": "v1" }, { "created": "Wed, 29 Jul 2015 20:50:09 GMT", "version": "v2" } ]

2015-09-02

[ [ "Kanti", "Panagiota", "" ], [ "Gannouji", "Radouane", "" ], [ "Dadhich", "Naresh", "" ] ]

We consider an Einstein-Scalar-Gauss-Bonnet gravitational theory, and argue that at early times the Ricci scalar can be safely ignored. We then demonstrate that the pure scalar-Gauss-Bonnet theory, with a quadratic coupling function, naturally supports inflationary -- de Sitter -- solutions. During inflation, the scalar field decays exponentially and its effective potential remains always bounded. The theory contains also solutions where these de Sitter phases possess a natural exit mechanism and are replaced by linearly expanding -- Milne -- phases.

12.878462

11.686637

10.892263

10.773561

10.696522

11.58187

12.135523

10.312775

11.554309

13.201962

12.162

11.798341

11.38998

11.20765

11.434211

11.340096

11.738127

11.682555

11.960855

11.804238

12.372505

hep-th/0211229

Andrei Mikhailov

Special contact Wilson loops

23 pages, LaTeX, references added, small corrections in Section 4

null

NSF-ITP-02-170, ITEP-TH-53/02

hep-th math.DG

null

Wilson loops in ${\cal N}=4$ supersymmetric Yang-Mills theory correspond at strong coupling to extremal surfaces in $AdS_5$. We study a class of extremal surfaces known as special Legendrian submanifolds. The "hemisphere" corresponding to the circular Wilson loop is an example of a special Legendrian submanifold, and we give another example. We formulate the necessary conditions for the contour on the boundary of $AdS_5$ to be the boundary of the special Legendrian submanifold and conjecture that these conditions are in fact sufficient. We call the solutions of these conditions "special contact Wilson loops". The first order equations for the special Legendrian submanifold impose a constraint on the functional derivatives of the Wilson loop at the special contact contour which should be satisfied in the Yang-Mills theory at strong coupling.

[ { "created": "Sun, 24 Nov 2002 03:37:14 GMT", "version": "v1" }, { "created": "Thu, 5 Dec 2002 17:52:44 GMT", "version": "v2" } ]

2007-05-23

[ [ "Mikhailov", "Andrei", "" ] ]

Wilson loops in ${\cal N}=4$ supersymmetric Yang-Mills theory correspond at strong coupling to extremal surfaces in $AdS_5$. We study a class of extremal surfaces known as special Legendrian submanifolds. The "hemisphere" corresponding to the circular Wilson loop is an example of a special Legendrian submanifold, and we give another example. We formulate the necessary conditions for the contour on the boundary of $AdS_5$ to be the boundary of the special Legendrian submanifold and conjecture that these conditions are in fact sufficient. We call the solutions of these conditions "special contact Wilson loops". The first order equations for the special Legendrian submanifold impose a constraint on the functional derivatives of the Wilson loop at the special contact contour which should be satisfied in the Yang-Mills theory at strong coupling.

6.890304

6.244135

6.946188

5.876294

6.409039

6.584446

6.202014

6.003119

6.04094

6.858569

5.990351

5.917932

5.749302

5.809858

5.733113

5.810277

5.837367

5.778998

5.712609

5.898178

5.849516

1307.1443

Arthur Lipstein

Arthur E. Lipstein and Lionel Mason

From dlogs to dilogs; the super Yang-Mills MHV amplitude revisited

v2. minor changes and updated discussion of mass regularization

null

10.1007/JHEP01(2014)169

null

hep-th

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

Recently, loop integrands for certain Yang-Mills scattering amplitudes and correlation functions have been shown to be systematically expressible in dlog form, raising the possibility that these loop integrals can be performed directly without Feynman parameters. We do so here to give a new description of the planar 1-loop MHV amplitude in N = 4 super Yang-Mills theory. We explicitly incorporate the standard Feynman i epsilon prescription into the integrands. We find that the generic MHV diagram contributing to the 1-loop MHV amplitude, known as Kermit, is dual conformal invariant up to the choice of reference twistor explicit in our axial gauge (the generic MHV diagram was already known to be finite). The new formulae for the amplitude are nontrivially related to previous ones in the literature. The divergent diagrams are evaluated using mass regularization. Our techniques extend directly to higher loop diagrams, and we illustrate this by sketching the evaluation of a non-trivial 2-loop example. We expect this to lead to a simple and efficient method for computing amplitudes and correlation functions with less supersymmetry and without the assumption of planarity.

[ { "created": "Thu, 4 Jul 2013 18:24:52 GMT", "version": "v1" }, { "created": "Mon, 28 Oct 2013 17:04:15 GMT", "version": "v2" } ]

2015-06-16

[ [ "Lipstein", "Arthur E.", "" ], [ "Mason", "Lionel", "" ] ]

Recently, loop integrands for certain Yang-Mills scattering amplitudes and correlation functions have been shown to be systematically expressible in dlog form, raising the possibility that these loop integrals can be performed directly without Feynman parameters. We do so here to give a new description of the planar 1-loop MHV amplitude in N = 4 super Yang-Mills theory. We explicitly incorporate the standard Feynman i epsilon prescription into the integrands. We find that the generic MHV diagram contributing to the 1-loop MHV amplitude, known as Kermit, is dual conformal invariant up to the choice of reference twistor explicit in our axial gauge (the generic MHV diagram was already known to be finite). The new formulae for the amplitude are nontrivially related to previous ones in the literature. The divergent diagrams are evaluated using mass regularization. Our techniques extend directly to higher loop diagrams, and we illustrate this by sketching the evaluation of a non-trivial 2-loop example. We expect this to lead to a simple and efficient method for computing amplitudes and correlation functions with less supersymmetry and without the assumption of planarity.

10.618904

12.501285

12.877952

10.88065

11.599072

12.180976

11.994901

11.8968

10.877854

13.293137

11.091695

10.96837

10.898315

10.60659

11.038358

10.98677

10.610853

10.873449

10.380817

11.052789

10.365506

2306.09139

Andrea Conti

AdS$_3$ T-duality and evidence for ${\cal N}=5,6$ superconformal quantum mechanics

11 pages and appendix, Published version

null

hep-th

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

We construct two families of AdS$_2$ vacua in Type IIB Supergravity performing U(1) and SL(2) T-dualities on the $\text{AdS}_3 \times \text{$ \widehat{\mathbb{CP}}\!\!~^3$} \times $ I solutions to Type IIA recently reported in arXiv:2304.12207. Depending on the T-duality we operate, we find two different classes of solutions of the type $\text{AdS}_2 \times \text{$ \widehat{\mathbb{CP}}\!\!~^3$} \times $ I $\times$ I and $\text{AdS}_3 \times \text{$ \widehat{\mathbb{CP}}\!\!~^3$} \times $ I $\times$ S$^1$. This provides evidence for more general classes of solutions $\text{AdS}_2 \times \text{$ \widehat{\mathbb{CP}}\!\!~^3$} \times \Sigma $, dual to superconformal quantum mechanics with ${\cal N}=5,6$ supersymmetry.

[ { "created": "Thu, 15 Jun 2023 13:53:01 GMT", "version": "v1" }, { "created": "Thu, 23 Nov 2023 09:57:10 GMT", "version": "v2" } ]

2023-11-27

[ [ "Conti", "Andrea", "" ] ]

We construct two families of AdS$_2$ vacua in Type IIB Supergravity performing U(1) and SL(2) T-dualities on the $\text{AdS}_3 \times \text{$ \widehat{\mathbb{CP}}\!\!~^3$} \times $ I solutions to Type IIA recently reported in arXiv:2304.12207. Depending on the T-duality we operate, we find two different classes of solutions of the type $\text{AdS}_2 \times \text{$ \widehat{\mathbb{CP}}\!\!~^3$} \times $ I $\times$ I and $\text{AdS}_3 \times \text{$ \widehat{\mathbb{CP}}\!\!~^3$} \times $ I $\times$ S$^1$. This provides evidence for more general classes of solutions $\text{AdS}_2 \times \text{$ \widehat{\mathbb{CP}}\!\!~^3$} \times \Sigma $, dual to superconformal quantum mechanics with ${\cal N}=5,6$ supersymmetry.

4.206587

3.8863

4.64081

4.133575

3.86477

3.911086

3.964266

3.768421

3.945892

4.669454

3.861837

3.844115

4.316372

3.915035

3.99232

3.916337

3.878505

3.982356

3.970451

4.17901

3.895821

0908.2249

Aaron Bergman

Katrin Becker and Aaron Bergman

Geometric Aspects of D-branes and T-duality

26 pages, JHEP format, uses dcpic.sty; v2: references added, v3: minor changes

JHEP 0911:067,2009

10.1088/1126-6708/2009/11/067

MIFP-09-34, NSF-KITP-09-142

hep-th

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

We explore the differential geometry of T-duality and D-branes. Because D-branes and RR-fields are properly described via K-theory, we discuss the (differential) K-theoretic generalization of T-duality and its application to the coupling of D-branes to RR-fields. This leads to a puzzle involving the transformation of the A-roof genera in the coupling.

[ { "created": "Sun, 16 Aug 2009 15:11:14 GMT", "version": "v1" }, { "created": "Mon, 24 Aug 2009 14:22:03 GMT", "version": "v2" }, { "created": "Sun, 13 Sep 2009 03:08:29 GMT", "version": "v3" } ]

2009-11-19

[ [ "Becker", "Katrin", "" ], [ "Bergman", "Aaron", "" ] ]

We explore the differential geometry of T-duality and D-branes. Because D-branes and RR-fields are properly described via K-theory, we discuss the (differential) K-theoretic generalization of T-duality and its application to the coupling of D-branes to RR-fields. This leads to a puzzle involving the transformation of the A-roof genera in the coupling.

10.20134

10.547377

12.359525

9.834195

9.592356

9.231453

10.572647

10.101978

9.426466

13.902547

9.889939

10.554012

12.403195

10.590113

10.737825

10.789083

11.179599

11.048935

10.754988

12.389597

10.407132

hep-th/0005244

Andrei Mironov

A.Alekseev, A.Mironov and A.Morozov

On B-independence of RR charges

7 pages, LaTeX

Phys.Lett. B532 (2002) 350-356

10.1016/S0370-2693(02)01569-1

null

hep-th

null

Generalization of the recent Taylor-Polchinski argument is presented, which helps to explain quantization of RR charges in IIA-like theories in the presence of cohomologically trivial H-fields.

[ { "created": "Thu, 25 May 2000 16:15:35 GMT", "version": "v1" } ]

2009-10-31

[ [ "Alekseev", "A.", "" ], [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ] ]

Generalization of the recent Taylor-Polchinski argument is presented, which helps to explain quantization of RR charges in IIA-like theories in the presence of cohomologically trivial H-fields.

27.364754

21.38596

24.49894

18.4853

21.189558

20.887615

22.464657

22.772495

19.772966

30.162663

18.746881

22.855574

23.817934

20.472145

21.427443

21.199196

22.669806

22.755871

22.372219

24.054962

25.110825

hep-th/9806208

Chung Ngoc Leung

C. N. Leung (U. of Delaware)

Chiral Symmetry Breaking in an External Field

RevTeX; talk presented at the 2nd Latin American Symposium on High Energy Physics, San Juan, Puerto Rico, April 1998

AIPConf.Proc.444:443-451,1998

10.1063/1.56622

null

hep-th

null

The effects of an external field on the dynamics of chiral symmetry breaking are studied using quenched, ladder QED as our model gauge field theory. It is found that a uniform external magnetic field enables the chiral symmetry to be spontaneously broken at weak gauge couplings, in contrast with the situation when no external field is present. The broken chiral symmetry is restored at high temperatures as well as at high chemical potentials. The nature of the two chiral phase transitions is different: the transition at high temperatures is a continuous one whereas the phase transition at high chemical potentials is discontinuous.

[ { "created": "Thu, 25 Jun 1998 14:07:46 GMT", "version": "v1" } ]

2009-10-31

[ [ "Leung", "C. N.", "", "U. of Delaware" ] ]

The effects of an external field on the dynamics of chiral symmetry breaking are studied using quenched, ladder QED as our model gauge field theory. It is found that a uniform external magnetic field enables the chiral symmetry to be spontaneously broken at weak gauge couplings, in contrast with the situation when no external field is present. The broken chiral symmetry is restored at high temperatures as well as at high chemical potentials. The nature of the two chiral phase transitions is different: the transition at high temperatures is a continuous one whereas the phase transition at high chemical potentials is discontinuous.

6.197546

5.909655

5.669579

5.445007

6.010584

6.297705

6.192733

5.824715

5.388824

5.959056

5.503448

6.195163

6.145283

6.069334

6.038567

6.005578

5.936097

6.180297

5.938073

5.839318

6.025616

hep-th/0302014

Ricardo Cardoso Paschoal

Ricardo C. Paschoal and Jos\'e A. Helay\"el-Neto

Non-minimal Maxwell-Chern-Simons theory and the composite Fermion model

10 pages, no figures

Phys.Lett. A313 (2003) 412-417

10.1016/S0375-9601(03)00805-3

CBPF-NF-009/03

hep-th cond-mat.mes-hall cond-mat.str-el

null

The magnetic field redefinition in Jain's composite fermion model for the fractional quantum Hall effect is shown to be effectively described by a mean-field approximation of a model containing a Maxwell-Chern-Simons gauge field non-minimally coupled to matter. Also an explicit non-relativistic limit of the non-minimal (2+1)D Dirac equation is derived.

[ { "created": "Mon, 3 Feb 2003 15:51:31 GMT", "version": "v1" } ]

2009-11-10

[ [ "Paschoal", "Ricardo C.", "" ], [ "Helayël-Neto", "José A.", "" ] ]

The magnetic field redefinition in Jain's composite fermion model for the fractional quantum Hall effect is shown to be effectively described by a mean-field approximation of a model containing a Maxwell-Chern-Simons gauge field non-minimally coupled to matter. Also an explicit non-relativistic limit of the non-minimal (2+1)D Dirac equation is derived.

11.416608

8.532273

11.193895

9.2724

10.842965

9.938317

9.796864

9.216085

9.295845

11.864996

9.54591

9.088659

10.692035

9.158154

10.015141

9.291681

9.439114

9.306793

9.608848

11.379598

9.582842

2403.09075

Shidong Liang

Shi-Dong Liang

Klein-Gordon theory in noncommutative phase space

30 pages

Symmetry 2023, 15, 367

10.3390/sym15020367

null

hep-th quant-ph

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

We extend the three-dimensional noncommutative relations of the positions and momenta operators to those in the four dimension. Using the Bopp shift technique, we give the Heisenberg representation of these noncommutative algebras and endow the noncommutative parameters associated with the Planck constant, Planck length and cosmological constant. As an analog with the electromagnetic gauge potential, the noncommutative effect can be interpreted as an effective gauge field, which depends on the Plank constant and cosmological constant. Based on these noncommutative relations, we give the Klein-Gordon (KG) equation and its corresponding current continuity equation in the noncommutative phase space including the canonical and Hamiltonian forms and their novel properties beyond the conventional KG equation. We analyze the symmetries of the KG equations and some observables such as velocity and force of free particles in the noncommutative phase space. We give the perturbation solution of the KG equation.

[ { "created": "Thu, 14 Mar 2024 03:43:04 GMT", "version": "v1" } ]

2024-03-15

[ [ "Liang", "Shi-Dong", "" ] ]

We extend the three-dimensional noncommutative relations of the positions and momenta operators to those in the four dimension. Using the Bopp shift technique, we give the Heisenberg representation of these noncommutative algebras and endow the noncommutative parameters associated with the Planck constant, Planck length and cosmological constant. As an analog with the electromagnetic gauge potential, the noncommutative effect can be interpreted as an effective gauge field, which depends on the Plank constant and cosmological constant. Based on these noncommutative relations, we give the Klein-Gordon (KG) equation and its corresponding current continuity equation in the noncommutative phase space including the canonical and Hamiltonian forms and their novel properties beyond the conventional KG equation. We analyze the symmetries of the KG equations and some observables such as velocity and force of free particles in the noncommutative phase space. We give the perturbation solution of the KG equation.

8.831673

9.206362

9.315072

8.847001

10.045746

9.561531

9.611884

9.458399

9.631727

9.715911

8.817112

8.887381

8.726659

8.86263

8.958325

8.822085

8.907891

8.712601

8.73701

8.848825

8.725974

hep-th/9908155

Ralph Blumenhagen

R. Blumenhagen, A. Font, A. Kumar and D. Lust

Aspects of Type 0 String Theory

9 pages, LATEX; submitted to Proceedings of Strings '99

Class.Quant.Grav.17:989-996,2000

10.1088/0264-9381/17/5/308

HUB-EP-99/46, CERN-TH/99-257

hep-th

null

A construction of compact tachyon-free orientifolds of the non-supersymmetric Type 0B string theory is presented. Moreover, we study effective non-supersymmetric gauge theories arising on self-dual D3-branes in Type 0B orbifolds and orientifolds.

[ { "created": "Tue, 24 Aug 1999 07:08:29 GMT", "version": "v1" } ]

2009-10-07

[ [ "Blumenhagen", "R.", "" ], [ "Font", "A.", "" ], [ "Kumar", "A.", "" ], [ "Lust", "D.", "" ] ]

A construction of compact tachyon-free orientifolds of the non-supersymmetric Type 0B string theory is presented. Moreover, we study effective non-supersymmetric gauge theories arising on self-dual D3-branes in Type 0B orbifolds and orientifolds.

7.429431

5.792909

9.748925

6.208645

6.022974

6.342416

6.030525

6.368724

5.634677

10.588875

6.018457

5.933713

8.147548

6.338722

6.143051

6.236689

6.239921

6.247003

6.288891

8.18159

6.451487

1904.13091

Panagiota Kanti

Georgios Antoniou, Athanasios Bakopoulos, Panagiota Kanti, Burkhard Kleihaus and Jutta Kunz

Novel Einstein-Scalar-Gauss-Bonnet Wormholes without Exotic Matter

Latex File, 15 pages, 7 figures, expanded version to appear in Physical Review D

Phys. Rev. D 101, 024033 (2020)

10.1103/PhysRevD.101.024033

null

hep-th gr-qc

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

Novel wormholes are obtained in Einstein-scalar-Gauss-Bonnet theory for several coupling functions. The wormholes may feature a single-throat or a double-throat geometry and do not demand any exotic matter. The scalar field may asymptotically vanish or be finite, and it may possess radial excitations. The domain of existence is fully mapped out for several forms of the coupling function.

[ { "created": "Tue, 30 Apr 2019 07:58:42 GMT", "version": "v1" }, { "created": "Mon, 20 Jan 2020 18:07:50 GMT", "version": "v2" } ]

2020-01-22

[ [ "Antoniou", "Georgios", "" ], [ "Bakopoulos", "Athanasios", "" ], [ "Kanti", "Panagiota", "" ], [ "Kleihaus", "Burkhard", "" ], [ "Kunz", "Jutta", "" ] ]

Novel wormholes are obtained in Einstein-scalar-Gauss-Bonnet theory for several coupling functions. The wormholes may feature a single-throat or a double-throat geometry and do not demand any exotic matter. The scalar field may asymptotically vanish or be finite, and it may possess radial excitations. The domain of existence is fully mapped out for several forms of the coupling function.

11.473135

11.070522

9.012752

8.331284

9.032305

9.76121

11.306043

9.092505

10.627751

9.029008

11.411864

9.892142

9.020527

9.24906

9.491687

9.244801

9.812748

9.337811

10.701358

9.624398

10.442912

hep-th/0609022

Valeri Dolotin

V. Dolotin, A. Morozov

Introduction to Non-Linear Algebra

135 pages, 40 figures

null

hep-th

null

Concise introduction to a relatively new subject of non-linear algebra: literal extension of text-book linear algebra to the case of non-linear equations and maps. This powerful science is based on the notions of discriminant (hyperdeterminant) and resultant, which today can be effectively studied both analytically and by modern computer facilities. The paper is mostly focused on resultants of non-linear maps. First steps are described in direction of Mandelbrot-set theory, which is direct extension of the eigenvalue problem from linear algebra, and is related by renormalization group ideas to the theory of phase transitions and dualities.

[ { "created": "Sun, 3 Sep 2006 22:19:01 GMT", "version": "v1" }, { "created": "Tue, 5 Sep 2006 19:54:09 GMT", "version": "v2" }, { "created": "Fri, 14 Mar 2008 21:54:13 GMT", "version": "v3" }, { "created": "Thu, 20 Mar 2008 18:51:04 GMT", "version": "v4" } ]

2009-09-29

[ [ "Dolotin", "V.", "" ], [ "Morozov", "A.", "" ] ]

Concise introduction to a relatively new subject of non-linear algebra: literal extension of text-book linear algebra to the case of non-linear equations and maps. This powerful science is based on the notions of discriminant (hyperdeterminant) and resultant, which today can be effectively studied both analytically and by modern computer facilities. The paper is mostly focused on resultants of non-linear maps. First steps are described in direction of Mandelbrot-set theory, which is direct extension of the eigenvalue problem from linear algebra, and is related by renormalization group ideas to the theory of phase transitions and dualities.

17.020863

16.861013

19.607206

15.759058

17.868505

16.812891

17.22687

15.581566

18.463074

20.443207

17.508047

15.642688

16.883417

15.717369

15.301087

16.38669

14.965747

15.838977

15.785595

17.081825

17.290167

1410.6363

Kai Ma

Kai Ma, Jian-hua Wang, Huan-Xiong Yang

Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane

14 pages, title, abstract, and texts are improved

Phys. Lett. B, 756, 221(2016)

10.1016/j.physletb.2016.03.007

null

hep-th hep-ph

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

We provide a new approach to study the noncommutative effects on the neutral Dirac particle with anomalous magnetic or electric dipole moment on the noncommutative plane. The advantages of this approach are demonstrated by investigating the noncommutative corrections on the Aharonov-Casher and He-McKellar-Wilkens effects. This approach is based on the effective $U(1)$ gauge symmetry for the electrodynamics of spin on the two dimensional space. The Seiberg-Witten map for this symmetry is then employed when we study the noncommutative corrections. Because the Seiberg-Witten map preserves the gauge symmetry, the noncommutative corrections can be defined consistently with the ordinary phases. Based on this approach we find the noncommutative corrections on the Aharonov-Casher and He-McKellar-Wilkens phases consist of two terms. The first one depends on the beam particle velocity and consistence with the previous results. However the second term is velocity-independent and then completely new. Therefore our results indicate it is possible to investigate the noncommutative space by using ultra-cold neutron interferometer in which the velocity-dependent term is negligible. Furthermore, both these two terms are proportional to the ratio between the noncommutative parameter $\theta$ and the cross section $A_{e/m}$ of the electrical/magnetic charged line enclosed by the trajectory of beam particles. Therefore the experimental sensitivity can be significantly enhanced by reduce the cross section of the charge line $A_{e/m}$.

[ { "created": "Thu, 23 Oct 2014 13:40:19 GMT", "version": "v1" }, { "created": "Sun, 26 Oct 2014 09:04:33 GMT", "version": "v2" }, { "created": "Tue, 27 Oct 2015 00:22:45 GMT", "version": "v3" }, { "created": "Fri, 29 Jan 2016 13:47:36 GMT", "version": "v4" }, { "created": "Sat, 19 Mar 2016 14:08:20 GMT", "version": "v5" } ]

2016-03-22

[ [ "Ma", "Kai", "" ], [ "Wang", "Jian-hua", "" ], [ "Yang", "Huan-Xiong", "" ] ]

We provide a new approach to study the noncommutative effects on the neutral Dirac particle with anomalous magnetic or electric dipole moment on the noncommutative plane. The advantages of this approach are demonstrated by investigating the noncommutative corrections on the Aharonov-Casher and He-McKellar-Wilkens effects. This approach is based on the effective $U(1)$ gauge symmetry for the electrodynamics of spin on the two dimensional space. The Seiberg-Witten map for this symmetry is then employed when we study the noncommutative corrections. Because the Seiberg-Witten map preserves the gauge symmetry, the noncommutative corrections can be defined consistently with the ordinary phases. Based on this approach we find the noncommutative corrections on the Aharonov-Casher and He-McKellar-Wilkens phases consist of two terms. The first one depends on the beam particle velocity and consistence with the previous results. However the second term is velocity-independent and then completely new. Therefore our results indicate it is possible to investigate the noncommutative space by using ultra-cold neutron interferometer in which the velocity-dependent term is negligible. Furthermore, both these two terms are proportional to the ratio between the noncommutative parameter $\theta$ and the cross section $A_{e/m}$ of the electrical/magnetic charged line enclosed by the trajectory of beam particles. Therefore the experimental sensitivity can be significantly enhanced by reduce the cross section of the charge line $A_{e/m}$.

6.553523

6.489728

7.078855

6.266868

6.961935

6.66905

6.996228

6.580733

6.213089

7.177218

6.29227

6.416255

6.635458

6.274125

6.443137

6.462403

6.459298

6.254579

6.345652

6.572103

6.29436

hep-th/9508144

David A. Lowe

S. Chaudhuri and D.A. Lowe

Type IIA-Heterotic Duals With Maximal Supersymmetry

13 pages, harvmac (acknowledgement added and typo fixed)

Nucl.Phys. B459 (1996) 113-124

10.1016/0550-3213(95)00589-7

NSF-ITP-95-76, UCSBTH-95-23

hep-th

null

Using finite abelian automorphism groups of $K3$ we construct orbifold candidates for Type IIA-heterotic dual pairs with maximal supersymmetry in six and lower dimensions. On the heterotic side, these results extend the series of known reduced rank theories with maximal supersymmetry. The corresponding Type IIA theories generalize the Schwarz and Sen proposal for the dual of the simplest of the reduced rank theories constructed as a novel Type IIA $\IZ_2$ orbifold.

[ { "created": "Sat, 26 Aug 1995 00:11:43 GMT", "version": "v1" }, { "created": "Tue, 5 Sep 1995 17:28:04 GMT", "version": "v2" } ]

2009-10-28

[ [ "Chaudhuri", "S.", "" ], [ "Lowe", "D. A.", "" ] ]

Using finite abelian automorphism groups of $K3$ we construct orbifold candidates for Type IIA-heterotic dual pairs with maximal supersymmetry in six and lower dimensions. On the heterotic side, these results extend the series of known reduced rank theories with maximal supersymmetry. The corresponding Type IIA theories generalize the Schwarz and Sen proposal for the dual of the simplest of the reduced rank theories constructed as a novel Type IIA $\IZ_2$ orbifold.

18.103186

14.472651

18.491907

14.119621

14.606354

17.232813

16.224329

14.949499

15.754748

22.434334

14.301943

13.963679

15.833269

14.62576

14.409098

13.959272

14.460362

14.597769

14.866491

15.865309

14.389083

hep-th/0309018

Michael Karowski

H. Babujian and M. Karowski

Exact form factors for the scaling Z{N}-Ising and the affine A{N-1}-Toda quantum field theories

Latex, 11 pages

Phys.Lett. B575 (2003) 144-150

10.1016/j.physletb.2003.09.038

null

hep-th

null

Previous results on form factors for the scaling Ising and the sinh-Gordon models are extended to general $Z_{N}$-Ising and affine $A_{N-1}$-Toda quantum field theories. In particular result for order, disorder parameters and para-fermi fields $\sigma_{Q}(x), \mu_{\tilde{Q}}(x)$ and $\psi_{Q}(x)$ are presented for the $Z_{N}$-model. For the $A_{N-1}$-Toda model all form factors for exponentials of the Toda fields are proposed. The quantum field equation of motion is proved and the mass and wave function renormalization are calculated exactly.

[ { "created": "Mon, 1 Sep 2003 13:18:44 GMT", "version": "v1" }, { "created": "Thu, 4 Sep 2003 10:42:12 GMT", "version": "v2" }, { "created": "Thu, 11 Sep 2003 13:24:22 GMT", "version": "v3" } ]

2015-06-26

[ [ "Babujian", "H.", "" ], [ "Karowski", "M.", "" ] ]

Previous results on form factors for the scaling Ising and the sinh-Gordon models are extended to general $Z_{N}$-Ising and affine $A_{N-1}$-Toda quantum field theories. In particular result for order, disorder parameters and para-fermi fields $\sigma_{Q}(x), \mu_{\tilde{Q}}(x)$ and $\psi_{Q}(x)$ are presented for the $Z_{N}$-model. For the $A_{N-1}$-Toda model all form factors for exponentials of the Toda fields are proposed. The quantum field equation of motion is proved and the mass and wave function renormalization are calculated exactly.

7.219056

7.001515

8.441611

7.081537

6.688441

6.982749

7.669022

6.511551

7.82022

8.810373

7.320835

6.6889

7.682557

6.95214

6.899848

6.54477

6.808807

6.461839

7.069644

7.718968

6.830527

hep-th/9802129

Daniela

Daniela Bigatti

Non commutative geometry for outsiders; an elementary introduction to motivations and tools

18 pages, LaTeX, four .eps figures; some misprints corrected and some references added

null

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

null

Since the subject of noncommutative geometry is now entering maturity, we felt there is need for presentation of the material at an undergraduate course level. Our review is a zero order approximation to this project. Thus, the present paper attempts to offer some motivations and mathematical prerequisites for a deeper study or at least to serve as support in glancing at recent results in theoretical physics.

[ { "created": "Thu, 19 Feb 1998 14:16:11 GMT", "version": "v1" }, { "created": "Sun, 22 Nov 1998 19:16:07 GMT", "version": "v2" } ]

2007-05-23

[ [ "Bigatti", "Daniela", "" ] ]

Since the subject of noncommutative geometry is now entering maturity, we felt there is need for presentation of the material at an undergraduate course level. Our review is a zero order approximation to this project. Thus, the present paper attempts to offer some motivations and mathematical prerequisites for a deeper study or at least to serve as support in glancing at recent results in theoretical physics.

29.308336

29.098866

29.165947

26.2693

30.443022

31.418667

28.536751

26.565845

26.891672

38.053238

24.886694

23.463512

24.03315

23.705755

26.161476

23.941439

25.55382

24.047897

23.505842

24.824512

24.665169

1304.7939

Giacomo De Palma

Giacomo De Palma and Franco Strocchi

A non-perturbative argument for the non-abelian Higgs mechanism

The new version differs from version 1 by the correction of a few misprints

Annals of Physics, Volume 336, September 2013, Pages 112-117, ISSN 0003-4916

10.1016/j.aop.2013.05.012

null

hep-th

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

The evasion of massless Goldstone bosons by the non-abelian Higgs mechanism is proved by a non-perturbative argument in the local BRST gauge.

[ { "created": "Tue, 30 Apr 2013 10:03:05 GMT", "version": "v1" }, { "created": "Fri, 5 Jul 2013 21:14:29 GMT", "version": "v2" } ]

2013-07-09

[ [ "De Palma", "Giacomo", "" ], [ "Strocchi", "Franco", "" ] ]

The evasion of massless Goldstone bosons by the non-abelian Higgs mechanism is proved by a non-perturbative argument in the local BRST gauge.

15.751871

10.915934

11.914837

10.200472

10.90474

11.362027

10.107447

11.349838

11.808816

11.496779

11.014342

10.457061

11.088771

10.373769

10.578832

10.079481

10.873646

9.717898

10.757339

11.050254

11.345664

hep-th/9412229

Sergei Lukyanov

V. Bazhanov, S. Lukyanov, A. Zamolodchikov

Integrable Structure of Conformal Field Theory, Quantum KdV Theory and Thermodynamic Bethe Ansatz

24 pages

Commun.Math.Phys.177:381-398,1996

10.1007/BF02101898

CLNS 94/1316, RU-94-98

hep-th

null

We construct the quantum versions of the monodromy matrices of KdV theory. The traces of these quantum monodromy matrices, which will be called as ``${\bf T}$-operators'', act in highest weight Virasoro modules. The ${\bf T}$-operators depend on the spectral parameter $\lambda$ and their expansion around $\lambda = \infty$ generates an infinite set of commuting Hamiltonians of the quantum KdV system. The ${\bf T}$-operators can be viewed as the continuous field theory versions of the commuting transfer-matrices of integrable lattice theory. In particular, we show that for the values $c=1-3{{(2n+1)^2}\over {2n+3}} , n=1,2,3,... $of the Virasoro central charge the eigenvalues of the ${\bf T}$-operators satisfy a closed system of functional equations sufficient for determining the spectrum. For the ground-state eigenvalue these functional equations are equivalent to those of massless Thermodynamic Bethe Ansatz for the minimal conformal field theory ${\cal M}_{2,2n+3}$; in general they provide a way to generalize the technique of Thermodynamic Bethe Ansatz to the excited states. We discuss a generalization of our approach to the cases of massive field theories obtained by perturbing these Conformal Field Theories with the operator $\Phi_{1,3}$. The relation of these ${\bf T}$-operators to the boundary states is also briefly described.

[ { "created": "Wed, 28 Dec 1994 23:19:42 GMT", "version": "v1" } ]

2011-02-11

[ [ "Bazhanov", "V.", "" ], [ "Lukyanov", "S.", "" ], [ "Zamolodchikov", "A.", "" ] ]

We construct the quantum versions of the monodromy matrices of KdV theory. The traces of these quantum monodromy matrices, which will be called as ``${\bf T}$-operators'', act in highest weight Virasoro modules. The ${\bf T}$-operators depend on the spectral parameter $\lambda$ and their expansion around $\lambda = \infty$ generates an infinite set of commuting Hamiltonians of the quantum KdV system. The ${\bf T}$-operators can be viewed as the continuous field theory versions of the commuting transfer-matrices of integrable lattice theory. In particular, we show that for the values $c=1-3{{(2n+1)^2}\over {2n+3}} , n=1,2,3,... $of the Virasoro central charge the eigenvalues of the ${\bf T}$-operators satisfy a closed system of functional equations sufficient for determining the spectrum. For the ground-state eigenvalue these functional equations are equivalent to those of massless Thermodynamic Bethe Ansatz for the minimal conformal field theory ${\cal M}_{2,2n+3}$; in general they provide a way to generalize the technique of Thermodynamic Bethe Ansatz to the excited states. We discuss a generalization of our approach to the cases of massive field theories obtained by perturbing these Conformal Field Theories with the operator $\Phi_{1,3}$. The relation of these ${\bf T}$-operators to the boundary states is also briefly described.

5.828932

5.62704

6.174119

5.616764

5.8635

6.030247

5.588955

5.52361

5.51124

6.534824

5.366877

5.402273

6.186517

5.629506

5.668933

5.606781

5.566408

5.654512

5.523948

5.865204

5.452182

2207.02875

Casey Cartwright

Casey Cartwright, Matthias Kaminski, Marco Knipfer

Hydrodynamic attractors for the speed of sound in holographic Bjorken flow

Version 2 updates: General revisions, refined introduction and abstract. Main text 17 pages, total page number: 23 pages. 15 figures, 3 appendices. Comments welcome!

null

10.1103/PhysRevD.107.106016

null

hep-th

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

The time evolution of the averaged energy momentum tensor as well as its variation with energy density are calculated in a far-from-equilibrium state of $\mathcal{N}=4$ SYM theory undergoing a Bjorken expansion. The calculation is carried out holographically where we consider a collection of trajectories of the energy density in the space of solutions by small changes to the initial conditions of the bulk spacetime. We argue that the proper interpretation of the variation of the diagonal energy momentum tensor components with respect to the energy density is that of a far-from-equilibrium speed of sound. We demonstrate remarkable agreement with a corresponding hydrodynamic prediction. We find by Borel resummation that the holographic system has one attractor for this speed of sound longitudinal, and another transverse to the direction of Bjorken expansion. Attractor times for various initial flow conditions show that reaching an attractor does not imply or require local thermal equilibrium. In the cases studied, reaching an attractor implies hydrodynamization (quantities evolve approximately according to hydrodynamics), justifying the name \emph{hydrodynamic attractor }

[ { "created": "Wed, 6 Jul 2022 18:00:05 GMT", "version": "v1" }, { "created": "Fri, 22 Jul 2022 18:00:05 GMT", "version": "v2" }, { "created": "Fri, 16 Dec 2022 10:18:37 GMT", "version": "v3" } ]

2023-06-07

[ [ "Cartwright", "Casey", "" ], [ "Kaminski", "Matthias", "" ], [ "Knipfer", "Marco", "" ] ]

The time evolution of the averaged energy momentum tensor as well as its variation with energy density are calculated in a far-from-equilibrium state of $\mathcal{N}=4$ SYM theory undergoing a Bjorken expansion. The calculation is carried out holographically where we consider a collection of trajectories of the energy density in the space of solutions by small changes to the initial conditions of the bulk spacetime. We argue that the proper interpretation of the variation of the diagonal energy momentum tensor components with respect to the energy density is that of a far-from-equilibrium speed of sound. We demonstrate remarkable agreement with a corresponding hydrodynamic prediction. We find by Borel resummation that the holographic system has one attractor for this speed of sound longitudinal, and another transverse to the direction of Bjorken expansion. Attractor times for various initial flow conditions show that reaching an attractor does not imply or require local thermal equilibrium. In the cases studied, reaching an attractor implies hydrodynamization (quantities evolve approximately according to hydrodynamics), justifying the name \emph{hydrodynamic attractor }

12.083033

12.423436

11.906303

11.003665

12.101594

12.562653

12.468085

11.343717

11.488398

12.745749

11.748492

11.683127

11.521162

11.646732

11.411562

11.465172

11.633417

11.596841

11.221889

11.673009

11.482557

hep-th/9712192

Alfred Goldhaber

Alfred S. Goldhaber (ITP, SUNY Stony Brook)

First Are Last Fractional-Charge Solitons

10 pages, LATEX with no macros. Added discussion of another fundamental soliton, the magnetic vortex, explaining why it doesn't fractionate charge

null

ITP-SB-97-61

hep-th

null

Jackiw and Rebbi found two types of intrinsically stable or `fundamental' soliton (kinks in 1+1 D and magnetic monopoles in 3+1 D) which can carry pieces of elementary-particle charges. After two decades there are no more, and it is argued here why that is inevitable.

[ { "created": "Thu, 18 Dec 1997 22:02:17 GMT", "version": "v1" }, { "created": "Wed, 21 Jan 1998 17:44:18 GMT", "version": "v2" } ]

2007-05-23

[ [ "Goldhaber", "Alfred S.", "", "ITP, SUNY Stony Brook" ] ]

Jackiw and Rebbi found two types of intrinsically stable or `fundamental' soliton (kinks in 1+1 D and magnetic monopoles in 3+1 D) which can carry pieces of elementary-particle charges. After two decades there are no more, and it is argued here why that is inevitable.

18.664848

16.742357

15.946699

17.48708

18.647371

17.881798

19.290369

16.871092

15.8382

18.713892

17.107477

15.358063

15.440991

15.253634

16.12859

15.400218

16.605621

16.417994

14.714509

15.885877

15.730927

2207.01889

Hun Jang

Hun Jang and Massimo Porrati

A Realization of Slow Roll Inflation and the MSSM in Supergravity Theories with New Fayet-Iliopoulos Terms

30 pages. Another misspelling has been corrected. Accepted for publication in PRD. arXiv admin note: text overlap with arXiv:2206.13736

Phys. Rev. D 106, 045024 (2022)

10.1103/PhysRevD.106.045024

null

hep-th

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

A new supergravity D-term, not associated to gauged R-symmetry, was recently discovered and used to construct new supergravity models. In this paper we use a generalization of the new D-term that we used in previous works, to construct a supergravity model of slow-roll inflation with the observable sector of the minimal supersymmetric standard model. Supersymmetry is broken at a high scale in the hidden sector and communicated to the observable sector by gravity mediation. The new D-term contains free parameters that can give large masses to scalar superpartners of quarks and leptons and to the higgsinos while holding the masses of observed particles fixed. Gauginos receive a mass from a non-canonical kinetic term for the vector supermultiplets. We also present a simple argument proving in full generality that the cutoff $\Lambda$ of effective theories containing new D-terms can never exceed the supersymmetry breaking scale. In our theory, the relation between D-term and the Hubble constant during inflation also implies the universal relation $\Lambda \lesssim \sqrt{H M_{Pl}}$.

[ { "created": "Tue, 5 Jul 2022 08:36:34 GMT", "version": "v1" }, { "created": "Sun, 10 Jul 2022 19:20:07 GMT", "version": "v2" }, { "created": "Tue, 16 Aug 2022 06:52:21 GMT", "version": "v3" } ]

2022-08-29

[ [ "Jang", "Hun", "" ], [ "Porrati", "Massimo", "" ] ]

A new supergravity D-term, not associated to gauged R-symmetry, was recently discovered and used to construct new supergravity models. In this paper we use a generalization of the new D-term that we used in previous works, to construct a supergravity model of slow-roll inflation with the observable sector of the minimal supersymmetric standard model. Supersymmetry is broken at a high scale in the hidden sector and communicated to the observable sector by gravity mediation. The new D-term contains free parameters that can give large masses to scalar superpartners of quarks and leptons and to the higgsinos while holding the masses of observed particles fixed. Gauginos receive a mass from a non-canonical kinetic term for the vector supermultiplets. We also present a simple argument proving in full generality that the cutoff $\Lambda$ of effective theories containing new D-terms can never exceed the supersymmetry breaking scale. In our theory, the relation between D-term and the Hubble constant during inflation also implies the universal relation $\Lambda \lesssim \sqrt{H M_{Pl}}$.

8.452608

8.261687

8.38458

7.794407

8.578856

8.394114

7.981642

8.19298

7.572699

9.198169

7.994191

8.33391

8.204992

8.086433

8.311991

8.243247

8.207668

8.035839

8.063741

8.253949

7.976609

hep-th/9502043

null

Yoonbai Kim, Sho Tsujimaru and Koichi Yamawaki

NAMBU-GOLDSTONE BOSON ON THE LIGHT-FRONT

To appear in the proceedings of the 13th Symposium on Theoretical Physics, Mt. Sorak, Korea, from 27 June to 2 July, 1994.

null

10.1103/PhysRevLett.74.4771

DPNU-94-57

hep-th

null

Spontaneous breakdown of the continuous symmetry is studied in the framework of discretized light-front quantization. We consider linear sigma model in 3+1 dimensions and show that the careful treatment of zero modes together with the regularization of the theory by introducing NG boson mass leads to the correct description of Nambu-Goldstone phase on the light-front.

[ { "created": "Tue, 7 Feb 1995 09:05:58 GMT", "version": "v1" }, { "created": "Wed, 8 Feb 1995 10:04:37 GMT", "version": "v2" } ]

2016-09-06

[ [ "Kim", "Yoonbai", "" ], [ "Tsujimaru", "Sho", "" ], [ "Yamawaki", "Koichi", "" ] ]

Spontaneous breakdown of the continuous symmetry is studied in the framework of discretized light-front quantization. We consider linear sigma model in 3+1 dimensions and show that the careful treatment of zero modes together with the regularization of the theory by introducing NG boson mass leads to the correct description of Nambu-Goldstone phase on the light-front.

10.080006

7.060005

7.634511

7.436488

7.883385

7.34645

7.632984

7.254903

6.946112

8.2733

8.176097

7.975228

8.546186

8.236562

8.12707

8.010024

7.426837

7.726086

8.267663

8.208656

8.144584

1805.04377

Agnese Bissi

Ofer Aharony, Luis F. Alday, Agnese Bissi and Ran Yacoby

The Analytic Bootstrap for Large $N$ Chern-Simons Vector Models

19 pages + appendices, v2: minor corrections, corrected statement about mixing

null

10.1007/JHEP08(2018)166

null

hep-th

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

Three-dimensional Chern-Simons vector models display an approximate higher spin symmetry in the large $N$ limit. Their single-trace operators consist of a tower of weakly broken currents, as well as a scalar $\sigma$ of approximate twist $1$ or $2$. We study the consequences of crossing symmetry for the four-point correlator of $\sigma$ in a $1/N$ expansion, using analytic bootstrap techniques. To order $1/N$ we show that crossing symmetry fixes the contribution from the tower of currents, providing an alternative derivation of well-known results by Maldacena and Zhiboedov. When $\sigma$ has twist $1$ its OPE receives a contribution from the exchange of $\sigma$ itself with an arbitrary coefficient, due to the existence of a marginal sextic coupling. We develop the machinery to determine the corrections to the OPE data of double-trace operators due to this, and to similar exchanges. This in turns allows us to fix completely the correlator up to three known truncated solutions to crossing. We then proceed to study the problem to order $1/N^2$. We find that crossing implies the appearance of odd-twist double-trace operators, and calculate their OPE coefficients in a large spin expansion. Also, surprisingly, crossing at order $1/N^2$, implies non-trivial $O(1/N)$ anomalous dimensions for even-twist double-trace operators, even though such contributions do not appear in the four-point function at order $1/N$ (in the case where there is no scalar exchange). We argue that this phenomenon arises due to operator mixing. Finally, we analyse the bosonic vector model with a sextic coupling without gauge interactions, and determine the order $1/N^2$ corrections to the dimensions of twist-$2$ double-trace operators.

[ { "created": "Fri, 11 May 2018 13:10:38 GMT", "version": "v1" }, { "created": "Thu, 16 Aug 2018 18:31:08 GMT", "version": "v2" } ]

2018-09-26

[ [ "Aharony", "Ofer", "" ], [ "Alday", "Luis F.", "" ], [ "Bissi", "Agnese", "" ], [ "Yacoby", "Ran", "" ] ]

Three-dimensional Chern-Simons vector models display an approximate higher spin symmetry in the large $N$ limit. Their single-trace operators consist of a tower of weakly broken currents, as well as a scalar $\sigma$ of approximate twist $1$ or $2$. We study the consequences of crossing symmetry for the four-point correlator of $\sigma$ in a $1/N$ expansion, using analytic bootstrap techniques. To order $1/N$ we show that crossing symmetry fixes the contribution from the tower of currents, providing an alternative derivation of well-known results by Maldacena and Zhiboedov. When $\sigma$ has twist $1$ its OPE receives a contribution from the exchange of $\sigma$ itself with an arbitrary coefficient, due to the existence of a marginal sextic coupling. We develop the machinery to determine the corrections to the OPE data of double-trace operators due to this, and to similar exchanges. This in turns allows us to fix completely the correlator up to three known truncated solutions to crossing. We then proceed to study the problem to order $1/N^2$. We find that crossing implies the appearance of odd-twist double-trace operators, and calculate their OPE coefficients in a large spin expansion. Also, surprisingly, crossing at order $1/N^2$, implies non-trivial $O(1/N)$ anomalous dimensions for even-twist double-trace operators, even though such contributions do not appear in the four-point function at order $1/N$ (in the case where there is no scalar exchange). We argue that this phenomenon arises due to operator mixing. Finally, we analyse the bosonic vector model with a sextic coupling without gauge interactions, and determine the order $1/N^2$ corrections to the dimensions of twist-$2$ double-trace operators.

7.340685

7.40251

8.565069

7.250761

7.398941

7.552103

7.24518

7.319511

7.371005

9.598213

7.127732

7.173347

7.719347

7.189196

7.385043

7.046501

7.192203

7.288141

7.217285

7.910797

7.121999

hep-th/9312087

null

A. Boresch, M. Schweda and S.P. Sorella

Vector supersymmetry of the superstring in the super-Beltrami parametrization

9 pages, LaTex, CERN-TH-7110/93 and TUW-93-27, footnote on titlepage added

Phys.Lett.B328:36-42,1994

10.1016/0370-2693(94)90424-3

null

hep-th

null

The vector supersymmetry recently found for the bosonic string is generalized to superstring theories quantized in the super-Beltrami parametrization.

[ { "created": "Fri, 10 Dec 1993 17:43:47 GMT", "version": "v1" }, { "created": "Tue, 21 Dec 1993 15:35:00 GMT", "version": "v2" } ]

2011-04-12

[ [ "Boresch", "A.", "" ], [ "Schweda", "M.", "" ], [ "Sorella", "S. P.", "" ] ]

The vector supersymmetry recently found for the bosonic string is generalized to superstring theories quantized in the super-Beltrami parametrization.

18.398758

9.168073

19.919895

10.626728

9.99753

11.351641

10.227707

9.455678

9.716984

20.832674

9.041611

12.031346

19.267584

13.555678

13.506665

12.322889

12.408442

13.299804

13.709329

16.940834

12.81925

1706.00336

E. Aldo Arroyo

Comments on real tachyon vacuum solution without square roots

20 pages; one subsection added

null

10.1007/JHEP01(2018)006

CCNH-UFABC 2017

hep-th

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

We analyze the consistency of a recently proposed real tachyon vacuum solution without square roots in open bosonic string field theory. We show that the equation of motion contracted with the solution itself is satisfied. Additionally, by expanding the solution in the basis of the curly $\mathcal{L}_0$ and the traditional $L_0$ eigenstates, we evaluate numerically the vacuum energy and obtain a result in agreement with Sen's conjecture.

[ { "created": "Thu, 1 Jun 2017 15:16:10 GMT", "version": "v1" }, { "created": "Wed, 1 Nov 2017 16:25:49 GMT", "version": "v2" } ]

2018-01-09

[ [ "Arroyo", "E. Aldo", "" ] ]

We analyze the consistency of a recently proposed real tachyon vacuum solution without square roots in open bosonic string field theory. We show that the equation of motion contracted with the solution itself is satisfied. Additionally, by expanding the solution in the basis of the curly $\mathcal{L}_0$ and the traditional $L_0$ eigenstates, we evaluate numerically the vacuum energy and obtain a result in agreement with Sen's conjecture.

12.099586

10.194474

13.294848

8.938163

9.841346

9.969722

11.201392

8.283982

9.475843

14.120546

9.070214

10.205156

11.113337

10.152986

10.510235

10.63532

10.854476

9.95243

10.638754

12.202362

10.444341

2011.09043

Kanato Goto

Kanato Goto, Thomas Hartman, Amirhossein Tajdini

Replica wormholes for an evaporating 2D black hole

65 pages, 19 figures

null

10.1007/JHEP04(2021)289

RIKEN-iTHEMS-Report-20

hep-th

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

Quantum extremal islands reproduce the unitary Page curve of an evaporating black hole. This has been derived by including replica wormholes in the gravitational path integral, but for the transient, evaporating black holes most relevant to Hawking's paradox, these wormholes have not been analyzed in any detail. In this paper we study replica wormholes for black holes formed by gravitational collapse in Jackiw-Teitelboim gravity, and confirm that they lead to the island rule for the entropy. The main technical challenge is that replica wormholes rely on a Euclidean path integral, while the quantum extremal islands of an evaporating black hole exist only in Lorentzian signature. Furthermore, the Euclidean equations are non-local, so it is unclear how to bridge the gap between the Euclidean path integral and the local, Lorentzian dynamics of an evaporating black hole. We address these issues with Schwinger-Keldysh techniques and show how the non-local equations reduce to the local `boundary particle' description in special cases.

[ { "created": "Wed, 18 Nov 2020 02:31:46 GMT", "version": "v1" } ]

2021-05-19

[ [ "Goto", "Kanato", "" ], [ "Hartman", "Thomas", "" ], [ "Tajdini", "Amirhossein", "" ] ]

Quantum extremal islands reproduce the unitary Page curve of an evaporating black hole. This has been derived by including replica wormholes in the gravitational path integral, but for the transient, evaporating black holes most relevant to Hawking's paradox, these wormholes have not been analyzed in any detail. In this paper we study replica wormholes for black holes formed by gravitational collapse in Jackiw-Teitelboim gravity, and confirm that they lead to the island rule for the entropy. The main technical challenge is that replica wormholes rely on a Euclidean path integral, while the quantum extremal islands of an evaporating black hole exist only in Lorentzian signature. Furthermore, the Euclidean equations are non-local, so it is unclear how to bridge the gap between the Euclidean path integral and the local, Lorentzian dynamics of an evaporating black hole. We address these issues with Schwinger-Keldysh techniques and show how the non-local equations reduce to the local `boundary particle' description in special cases.

7.123428

6.565956

7.308169

6.337801

6.665032

6.294443

6.489734

6.270348

6.590098

7.891138

6.216989

6.610663

7.015139

6.395195

6.480344

6.549768

6.472966

6.427876

6.499368

6.770615

6.613535

1703.10768

Brett McInnes

How Does the Quark-Gluon Plasma Know the Collision Energy?

16 pages, one figure; version to appear in Nuclear Physics B

null

10.1016/j.nuclphysb.2018.01.005

null

hep-th hep-ph

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

Heavy ion collisions at the LHC facility generate a Quark-Gluon Plasma (QGP) which, for central collisions, has a higher energy density and temperature than the plasma generated in central collisions at the RHIC. But sufficiently peripheral LHC collisions give rise to plasmas which have the \emph{same} energy density and temperature as the "central" RHIC plasmas. One might assume that the two versions of the QGP would have very similar properties (for example, with regard to jet quenching), but recent investigations have suggested that \emph{they do not}: the plasma "knows" that the overall collision energy is different in the two cases. We argue, using a gauge-gravity analysis, that the strong magnetic fields arising in one case (peripheral collisions), but not the other, may be relevant here. If the residual magnetic field in peripheral LHC plasmas is of the order of at least $eB\,\approx \,5\,m^2_{\pi}$, then the model predicts modifications of the relevant quenching parameter which approach those recently reported.

[ { "created": "Fri, 31 Mar 2017 06:50:21 GMT", "version": "v1" }, { "created": "Mon, 8 Jan 2018 05:50:35 GMT", "version": "v2" } ]

2018-03-14

[ [ "McInnes", "Brett", "" ] ]

Heavy ion collisions at the LHC facility generate a Quark-Gluon Plasma (QGP) which, for central collisions, has a higher energy density and temperature than the plasma generated in central collisions at the RHIC. But sufficiently peripheral LHC collisions give rise to plasmas which have the \emph{same} energy density and temperature as the "central" RHIC plasmas. One might assume that the two versions of the QGP would have very similar properties (for example, with regard to jet quenching), but recent investigations have suggested that \emph{they do not}: the plasma "knows" that the overall collision energy is different in the two cases. We argue, using a gauge-gravity analysis, that the strong magnetic fields arising in one case (peripheral collisions), but not the other, may be relevant here. If the residual magnetic field in peripheral LHC plasmas is of the order of at least $eB\,\approx \,5\,m^2_{\pi}$, then the model predicts modifications of the relevant quenching parameter which approach those recently reported.

8.363667

8.719907

7.961836

8.155717

7.870282

8.618439

8.267438

8.402644

7.889296

8.670829

8.009752

7.985927

7.992971

7.878712

7.946158

7.806401

7.886396

7.898842

7.774527

7.904798

7.911516

2205.09132

Brian McPeak

Francesco Bertucci, Johan Henriksson, Brian McPeak

Analytic bootstrap of mixed correlators in the $\boldsymbol{O(n)}$ CFT

83pp

null

hep-th

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

We use large spin perturbation theory and the Lorentzian inversion formula to compute order-$\varepsilon$ corrections to mixed correlators in the $O(n)$ Wilson-Fisher CFT in $4 - \varepsilon$ dimensions. In particular, we find the scaling dimensions and averaged OPE coefficients appearing in all correlators involving $\varphi$ and $\varphi^2$, for $\varphi^2$ in both the singlet and symmetric traceless representations of $O(n)$. We extend some computations to the next order, and find order-$\varepsilon^2$ data for a number of quantities for the Ising case at $n = 1$. Along the way, we discuss several interesting technical aspects which arise, including subleading corrections to mixed conformal blocks, projections onto higher twists in the inversion formula, and multiplet recombination.

[ { "created": "Wed, 18 May 2022 18:00:04 GMT", "version": "v1" }, { "created": "Fri, 7 Oct 2022 13:53:14 GMT", "version": "v2" } ]

2022-10-10

[ [ "Bertucci", "Francesco", "" ], [ "Henriksson", "Johan", "" ], [ "McPeak", "Brian", "" ] ]

We use large spin perturbation theory and the Lorentzian inversion formula to compute order-$\varepsilon$ corrections to mixed correlators in the $O(n)$ Wilson-Fisher CFT in $4 - \varepsilon$ dimensions. In particular, we find the scaling dimensions and averaged OPE coefficients appearing in all correlators involving $\varphi$ and $\varphi^2$, for $\varphi^2$ in both the singlet and symmetric traceless representations of $O(n)$. We extend some computations to the next order, and find order-$\varepsilon^2$ data for a number of quantities for the Ising case at $n = 1$. Along the way, we discuss several interesting technical aspects which arise, including subleading corrections to mixed conformal blocks, projections onto higher twists in the inversion formula, and multiplet recombination.

7.815159

7.171437

8.667022

7.267093

7.694328

7.623912

7.431534

7.098411

6.927489

9.320908

7.058775

7.20893

7.985967

7.062239

7.676689

7.351963

7.355942

7.369272

7.161184

7.752593

7.139246

1011.5378

Dave Dunbar

David C. Dunbar, James H. Ettle and Warren B. Perkins

Perturbative expansion of N<8 Supergravity

13 pages. v2 adds analytic expression for rational parts of 5-pt 1-loop N=4 SUGRA amplitude; v3 normalisations clarified

Phys.Rev.D83:065015,2011

10.1103/PhysRevD.83.065015

null

hep-th

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

We characterise the one-loop amplitudes for N=6 and N=4 supergravity in four dimensions. For N=6 we find that the one-loop n-point amplitudes can be expanded in terms of scalar box and triangle functions only. This simplification is consistent with a loop momentum power count of n-3, which we would interpret as being n+4 for gravity with a further -7 from the N=6 superalgebra. For N=4 we find that the amplitude is consistent with a loop momentum power count of n, which we would interpret as being n+4 for gravity with a further -4 from the N=4 superalgebra. Specifically the N=4 amplitudes contain non-cut-constructible rational terms.

[ { "created": "Wed, 24 Nov 2010 14:24:54 GMT", "version": "v1" }, { "created": "Thu, 16 Jun 2011 19:55:57 GMT", "version": "v2" }, { "created": "Wed, 21 Sep 2011 11:54:52 GMT", "version": "v3" } ]

2011-09-22

[ [ "Dunbar", "David C.", "" ], [ "Ettle", "James H.", "" ], [ "Perkins", "Warren B.", "" ] ]

We characterise the one-loop amplitudes for N=6 and N=4 supergravity in four dimensions. For N=6 we find that the one-loop n-point amplitudes can be expanded in terms of scalar box and triangle functions only. This simplification is consistent with a loop momentum power count of n-3, which we would interpret as being n+4 for gravity with a further -7 from the N=6 superalgebra. For N=4 we find that the amplitude is consistent with a loop momentum power count of n, which we would interpret as being n+4 for gravity with a further -4 from the N=4 superalgebra. Specifically the N=4 amplitudes contain non-cut-constructible rational terms.

6.6821

6.98964

6.980542

6.516564

7.076268

6.991006

6.7499

5.986063

6.664845

7.367493

6.537654

6.732909

6.575798

6.553584

6.869954

6.482716

6.438842

6.633457

6.503747

6.611343

6.403489

1507.00896

Andr\'e Luiz Moura Britto

A. L. M. Britto, Ashok K. Das and J. Frenkel

Generalized fluctuation-dissipation theorem in a soluble out of equilibrium model

5 pages

null

hep-th cond-mat.stat-mech

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

In the context of an exactly soluble out of equilibrium (quenched) model, we study an extension of the fluctuation-dissipation relation. This involves a modified differential form of this relation, with an effective temperature which may have an explicit dependence on time scales.

[ { "created": "Fri, 3 Jul 2015 12:57:50 GMT", "version": "v1" }, { "created": "Thu, 23 Jul 2015 14:14:42 GMT", "version": "v2" } ]

2015-07-24

[ [ "Britto", "A. L. M.", "" ], [ "Das", "Ashok K.", "" ], [ "Frenkel", "J.", "" ] ]

In the context of an exactly soluble out of equilibrium (quenched) model, we study an extension of the fluctuation-dissipation relation. This involves a modified differential form of this relation, with an effective temperature which may have an explicit dependence on time scales.

14.604832

12.246664

13.313636

12.336252

13.091177

13.34771

13.496496

12.268679

12.455077

12.876887

12.595797

12.114947

12.959917

12.376175

12.400292

12.392391

12.282781

12.359029

11.970323

12.86218

12.566715

1403.6523

Michele Del Zotto

Michele Del Zotto, Amihay Hanany

Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 $(A_n,A_m)$ SCFT's

20 pages

null

10.1016/j.nuclphysb.2015.03.017

null

hep-th

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

The strongly interacting 4d N=2 SCFT's of type $(A_n,A_m)$ are the simplest examples of models in the $(G,G^\prime)$ class introduced by Cecotti, Neitzke, and Vafa in arXiv:1006.3435. These systems have a known 3d N=4 mirror only if $h(A_n)$ divides $h(A_m)$, where $h$ is the Coxeter number. By 4d/2d correspondence, we show that in this case these systems have a nontrivial global flavor symmetry group and, therefore, a non-trivial Higgs branch. As an application of the methods of arXiv:1309.2657, we then compute the refined Hilbert series of the Coulomb branch of the 3d mirror for the simplest models in the series. This equals the refined Hilbert series of the Higgs branch of the $(A_n,A_m)$ SCFT, providing interesting information about the Higgs branch of these non-lagrangian theories.

[ { "created": "Tue, 25 Mar 2014 22:07:18 GMT", "version": "v1" } ]

2015-06-19

[ [ "Del Zotto", "Michele", "" ], [ "Hanany", "Amihay", "" ] ]

The strongly interacting 4d N=2 SCFT's of type $(A_n,A_m)$ are the simplest examples of models in the $(G,G^\prime)$ class introduced by Cecotti, Neitzke, and Vafa in arXiv:1006.3435. These systems have a known 3d N=4 mirror only if $h(A_n)$ divides $h(A_m)$, where $h$ is the Coxeter number. By 4d/2d correspondence, we show that in this case these systems have a nontrivial global flavor symmetry group and, therefore, a non-trivial Higgs branch. As an application of the methods of arXiv:1309.2657, we then compute the refined Hilbert series of the Coulomb branch of the 3d mirror for the simplest models in the series. This equals the refined Hilbert series of the Higgs branch of the $(A_n,A_m)$ SCFT, providing interesting information about the Higgs branch of these non-lagrangian theories.

6.394899

7.127041

8.128603

6.422018

7.021827

6.64573

7.11598

6.541653

6.838983

8.924556

6.340304

6.298088

6.905331

6.233582

6.373065

6.339297

6.326433

6.262323

6.219157

6.860283

6.273164

0708.1322

Mark Van Raamsdonk

Moshe Rozali, Hsien-Hang Shieh, Mark Van Raamsdonk and Jackson Wu

Cold Nuclear Matter In Holographic QCD

31 pages, LaTeX, 1 figure, v2: some formulae corrected, qualitative results unchanged

JHEP0801:053,2008

10.1088/1126-6708/2008/01/053

null

hep-th hep-ph nucl-th

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

We study the Sakai-Sugimoto model of holographic QCD at zero temperature and finite chemical potential. We find that as the baryon chemical potential is increased above a critical value, there is a phase transition to a nuclear matter phase characterized by a condensate of instantons on the probe D-branes in the string theory dual. As a result of electrostatic interactions between the instantons, this condensate expands towards the UV when the chemical potential is increased, giving a holographic version of the expansion of the Fermi surface. We argue based on properties of instantons that the nuclear matter phase is necessarily inhomogeneous to arbitrarily high density. This suggests an explanation of the "chiral density wave" instability of the quark Fermi surface in large N_c QCD at asymptotically large chemical potential. We study properties of the nuclear matter phase as a function of chemical potential beyond the transition and argue in particular that the model can be used to make a semi-quantitative prediction of the binding energy per nucleon for nuclear matter in ordinary QCD.

[ { "created": "Thu, 9 Aug 2007 19:58:41 GMT", "version": "v1" }, { "created": "Thu, 9 Aug 2007 23:33:41 GMT", "version": "v2" }, { "created": "Thu, 25 Oct 2007 01:55:56 GMT", "version": "v3" }, { "created": "Mon, 8 Sep 2008 21:50:56 GMT", "version": "v4" } ]

2008-11-26

[ [ "Rozali", "Moshe", "" ], [ "Shieh", "Hsien-Hang", "" ], [ "Van Raamsdonk", "Mark", "" ], [ "Wu", "Jackson", "" ] ]

We study the Sakai-Sugimoto model of holographic QCD at zero temperature and finite chemical potential. We find that as the baryon chemical potential is increased above a critical value, there is a phase transition to a nuclear matter phase characterized by a condensate of instantons on the probe D-branes in the string theory dual. As a result of electrostatic interactions between the instantons, this condensate expands towards the UV when the chemical potential is increased, giving a holographic version of the expansion of the Fermi surface. We argue based on properties of instantons that the nuclear matter phase is necessarily inhomogeneous to arbitrarily high density. This suggests an explanation of the "chiral density wave" instability of the quark Fermi surface in large N_c QCD at asymptotically large chemical potential. We study properties of the nuclear matter phase as a function of chemical potential beyond the transition and argue in particular that the model can be used to make a semi-quantitative prediction of the binding energy per nucleon for nuclear matter in ordinary QCD.

5.850636

5.214368

5.692497

5.349572

6.186659

5.905096

5.882479

5.324325

5.241503

6.126732

5.555619

5.537531

5.908918

5.674393

5.631559

6.01256

5.796136

5.507284

5.543405

5.855025

5.624866

hep-th/9206015

Vladimir Kazakov

V.A. Kazakov and A.A. Migdal

Induced QCD at Large N

20 pages

Nucl.Phys. B397 (1993) 214-238

10.1016/0550-3213(93)90342-M

PUPT-1322, LPTENS-92/15

hep-th

null

We propose and study at large N a new lattice gauge model , in which the Yang-Mills interaction is induced by the heavy scalar field in adjoint representation. At any dimension of space and any $ N $ the gauge fields can be integrated out yielding an effective field theory for the gauge invariant scalar field, corresponding to eigenvalues of the initial matrix field. This field develops the vacuum average, the fluctuations of which describe the elementary excitations of our gauge theory. At $N= \infty $ we find two phases of the model, with asymptotic freedom corresponding to the strong coupling phase (if there are no phase transitions at some critical $N$). We could not solve the model in this phase, but in the weak coupling phase we have derived exact nonlinear integral equations for the vacuum average and for the scalar excitation spectrum. Presumably the strong coupling equations can be derived by the same method.

[ { "created": "Wed, 3 Jun 1992 14:07:30 GMT", "version": "v1" } ]

2009-10-22

[ [ "Kazakov", "V. A.", "" ], [ "Migdal", "A. A.", "" ] ]

We propose and study at large N a new lattice gauge model , in which the Yang-Mills interaction is induced by the heavy scalar field in adjoint representation. At any dimension of space and any $ N $ the gauge fields can be integrated out yielding an effective field theory for the gauge invariant scalar field, corresponding to eigenvalues of the initial matrix field. This field develops the vacuum average, the fluctuations of which describe the elementary excitations of our gauge theory. At $N= \infty $ we find two phases of the model, with asymptotic freedom corresponding to the strong coupling phase (if there are no phase transitions at some critical $N$). We could not solve the model in this phase, but in the weak coupling phase we have derived exact nonlinear integral equations for the vacuum average and for the scalar excitation spectrum. Presumably the strong coupling equations can be derived by the same method.

11.557566

11.913638

11.861277

10.806023

11.902971

12.190519

11.331491

11.166467

11.20644

13.462552

11.913303

11.540107

11.206505

10.891668

11.344953

11.004802

11.195998

11.10283

11.045631

11.434601

11.053285

hep-th/9602006

Dave Robertson

Alex C. Kalloniatis (Heidelberg) and David G. Robertson (OSU)

Theta Vacua in the Light-Cone Schwinger Model

RevTeX, 5 pages

Phys.Lett. B381 (1996) 209-215

10.1016/0370-2693(96)00534-5

OSU-NT-95-07

hep-th

null

We discuss the bosonized Schwinger model in light-cone quantization, using discretization as an infrared regulator. We consider both the light-cone Coulomb gauge, in which all gauge freedom can be removed and a physical Hilbert space employed, and the light-cone Weyl (temporal) gauge, in which the Hilbert space is unphysical and a Gauss law operator is used to select a physical subspace. We describe the different ways in which the theta vacuum is manifested depending on this choice of gauge, and compute the theta-dependence of the chiral condensate in each case.

[ { "created": "Fri, 2 Feb 1996 00:46:46 GMT", "version": "v1" } ]

2009-10-30

[ [ "Kalloniatis", "Alex C.", "", "Heidelberg" ], [ "Robertson", "David G.", "", "OSU" ] ]

We discuss the bosonized Schwinger model in light-cone quantization, using discretization as an infrared regulator. We consider both the light-cone Coulomb gauge, in which all gauge freedom can be removed and a physical Hilbert space employed, and the light-cone Weyl (temporal) gauge, in which the Hilbert space is unphysical and a Gauss law operator is used to select a physical subspace. We describe the different ways in which the theta vacuum is manifested depending on this choice of gauge, and compute the theta-dependence of the chiral condensate in each case.

6.711123

5.851592

7.334785

6.018309

6.894778

6.678869

6.314314

6.316791

6.315385

8.21226

6.538054

6.652121

6.541104

6.345241

6.481808

6.461164

6.704312

6.580053

6.301259

6.556639

6.365803

hep-th/9901084

Manvelyan Ruben

R. Manvelyan, R. Mkrtchyan, H.J.W. Mueller-Kirsten

On Different Formulations of Chiral Bosons

Version accepted for publication in Phys.Lett.B, Latex, 10 pages

Phys.Lett. B453 (1999) 258-262

10.1016/S0370-2693(99)00328-7

null

hep-th

null

It is shown, that recently constructed PST Lagrangians for chiral supergravities follow directly from earlier Kavalov-Mkrtchyan Lagrangians by an Ansatz for the $\theta $ tensor by expressing this in terms of the PST scalar. The susy algebra which included earlier $\alpha$-symmetry in the commutator of supersymmetry transformations, is now shown to include both PST symmetries, which arise from the single $\alpha$-symmetry term. The Lagrangian for the 5-brane is not described by this correspondence, and probably can be obtained from more general Lagrangians, posessing $\alpha$-symmetry.

[ { "created": "Tue, 19 Jan 1999 20:58:04 GMT", "version": "v1" }, { "created": "Sun, 21 Mar 1999 08:45:43 GMT", "version": "v2" } ]

2009-10-31

[ [ "Manvelyan", "R.", "" ], [ "Mkrtchyan", "R.", "" ], [ "Mueller-Kirsten", "H. J. W.", "" ] ]

It is shown, that recently constructed PST Lagrangians for chiral supergravities follow directly from earlier Kavalov-Mkrtchyan Lagrangians by an Ansatz for the $\theta $ tensor by expressing this in terms of the PST scalar. The susy algebra which included earlier $\alpha$-symmetry in the commutator of supersymmetry transformations, is now shown to include both PST symmetries, which arise from the single $\alpha$-symmetry term. The Lagrangian for the 5-brane is not described by this correspondence, and probably can be obtained from more general Lagrangians, posessing $\alpha$-symmetry.

8.934866

14.588162

14.268358

13.74327

14.711776

13.207475

14.546439

13.684481

13.20415

16.115843

12.931059

12.08433

12.890224

12.211125

12.187186

11.869206

12.541742

11.829361

12.262456

12.175002

11.788103

2303.16316

Suvrat Raju

Tuneer Chakraborty, Joydeep Chakravarty, Victor Godet, Priyadarshi Paul and Suvrat Raju

Holography of information in de Sitter space

(v1) 44 pages (v2) 48 pages. refs added; Appendix D added; typos fixed

null

hep-th

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

We study the natural norm on the space of solutions to the Wheeler-DeWitt equation in an asymptotically de Sitter spacetime. We propose that the norm is obtained by integrating the squared wavefunctional over field configurations and dividing by the volume of the diff-and-Weyl group. We impose appropriate gauge conditions to fix the diff-and-Weyl redundancy and obtain a finite expression for the norm using the Faddeev-Popov procedure. This leads to a ghost action that has zero modes corresponding to a residual conformal subgroup of the diff-and-Weyl group. By keeping track of these zero modes, we show that Higuchi's norm for group-averaged states emerges from our prescription in the nongravitational limit. We apply our formalism to cosmological correlators and propose that they should be understood as gauge-fixed observables. We identify the symmetries of these observables. In a nongravitational theory, it is necessary to specify such correlators everywhere on a Cauchy slice to identify a state in the Hilbert space. In a theory of quantum gravity, we demonstrate a version of the principle of holography of information: cosmological correlators in an arbitrarily small region suffice to completely specify the state.

[ { "created": "Tue, 28 Mar 2023 21:27:06 GMT", "version": "v1" }, { "created": "Mon, 14 Aug 2023 09:07:36 GMT", "version": "v2" } ]

2023-08-15

[ [ "Chakraborty", "Tuneer", "" ], [ "Chakravarty", "Joydeep", "" ], [ "Godet", "Victor", "" ], [ "Paul", "Priyadarshi", "" ], [ "Raju", "Suvrat", "" ] ]

We study the natural norm on the space of solutions to the Wheeler-DeWitt equation in an asymptotically de Sitter spacetime. We propose that the norm is obtained by integrating the squared wavefunctional over field configurations and dividing by the volume of the diff-and-Weyl group. We impose appropriate gauge conditions to fix the diff-and-Weyl redundancy and obtain a finite expression for the norm using the Faddeev-Popov procedure. This leads to a ghost action that has zero modes corresponding to a residual conformal subgroup of the diff-and-Weyl group. By keeping track of these zero modes, we show that Higuchi's norm for group-averaged states emerges from our prescription in the nongravitational limit. We apply our formalism to cosmological correlators and propose that they should be understood as gauge-fixed observables. We identify the symmetries of these observables. In a nongravitational theory, it is necessary to specify such correlators everywhere on a Cauchy slice to identify a state in the Hilbert space. In a theory of quantum gravity, we demonstrate a version of the principle of holography of information: cosmological correlators in an arbitrarily small region suffice to completely specify the state.

8.736896

8.971755

9.285496

8.625272

8.778401

8.421774

8.494982

8.679439

8.772099

10.261639

8.292434

8.608844

8.68014

8.346075

8.255701

8.44365

8.400467

8.41234

8.552826

8.866151

8.400829

hep-th/0110096

Alfonso V. Ramallo

J. M. Camino and A. V. Ramallo

M-Theory Giant Gravitons with C field

11 pages, LaTeX; v2: references added

Phys.Lett.B525:337-346,2002

10.1016/S0370-2693(01)01431-9

US-FT-12/01

hep-th

null

We find giant graviton configurations of an M5-brane probe in the D=11 supergravity background generated by a stack of non-threshold (M2,M5) bound states. The M5-brane probe shares three directions with the background and wraps a two-sphere transverse to the bound states. For a particular value of the worldvolume gauge field of the PST formalism, there exist solutions of the equations of motion for which the M5-brane probe behaves as a wave propagating in the (M2,M5) background. We have checked that the probe breaks the supersymmetry of the background exactly as a massless particle moving along the trajectory of its center of mass.

[ { "created": "Wed, 10 Oct 2001 15:27:03 GMT", "version": "v1" }, { "created": "Wed, 17 Oct 2001 17:50:14 GMT", "version": "v2" } ]

2008-11-26

[ [ "Camino", "J. M.", "" ], [ "Ramallo", "A. V.", "" ] ]

We find giant graviton configurations of an M5-brane probe in the D=11 supergravity background generated by a stack of non-threshold (M2,M5) bound states. The M5-brane probe shares three directions with the background and wraps a two-sphere transverse to the bound states. For a particular value of the worldvolume gauge field of the PST formalism, there exist solutions of the equations of motion for which the M5-brane probe behaves as a wave propagating in the (M2,M5) background. We have checked that the probe breaks the supersymmetry of the background exactly as a massless particle moving along the trajectory of its center of mass.

7.657462

6.675164

8.978547

6.807639

7.027755

7.162497

6.531578

6.462649

6.826451

10.521387

6.709469

7.016119

7.883921

7.020532

6.939955

7.206357

7.133007

6.990119

7.003266

7.975017

6.823222

hep-th/0601159

Omid Saremi

The Viscosity Bound Conjecture and Hydrodynamics of M2-Brane Theory at Finite Chemical Potential

LaTeX, 26+1 Pages, 4 Figures, Version 2: references added

JHEP0610:083,2006

10.1088/1126-6708/2006/10/083

null

hep-th

null

Kovtun, Son and Starinets have conjectured that the viscosity to entropy density ratio $\eta/s$ is always bounded from below by a universal multiple of $\hbar$ i.e., $\hbar/(4\pi k_{B})$ for all forms of matter. Mysteriously, the proposed viscosity bound appears to be saturated in all computations done whenever a supergravity dual is available. We consider the near horizon limit of a stack of M2-branes in the grand canonical ensemble at finite R-charge densities, corresponding to non-zero angular momentum in the bulk. The corresponding four-dimensional R-charged black hole in Anti-de Sitter space provides a holographic dual in which various transport coefficients can be calculated. We find that the shear viscosity increases as soon as a background R-charge density is turned on. We numerically compute the few first corrections to the shear viscosity to entropy density ratio $\eta/s$ and surprisingly discover that up to fourth order all corrections originating from a non-zero chemical potential vanish, leaving the bound saturated. This is a sharp signal in favor of the saturation of the viscosity bound for event horizons even in the presence of some finite background field strength. We discuss implications of this observation for the conjectured bound.

[ { "created": "Fri, 20 Jan 2006 20:59:56 GMT", "version": "v1" }, { "created": "Fri, 20 Jan 2006 22:20:31 GMT", "version": "v2" }, { "created": "Wed, 24 May 2006 19:22:57 GMT", "version": "v3" } ]

2009-11-11

[ [ "Saremi", "Omid", "" ] ]

Kovtun, Son and Starinets have conjectured that the viscosity to entropy density ratio $\eta/s$ is always bounded from below by a universal multiple of $\hbar$ i.e., $\hbar/(4\pi k_{B})$ for all forms of matter. Mysteriously, the proposed viscosity bound appears to be saturated in all computations done whenever a supergravity dual is available. We consider the near horizon limit of a stack of M2-branes in the grand canonical ensemble at finite R-charge densities, corresponding to non-zero angular momentum in the bulk. The corresponding four-dimensional R-charged black hole in Anti-de Sitter space provides a holographic dual in which various transport coefficients can be calculated. We find that the shear viscosity increases as soon as a background R-charge density is turned on. We numerically compute the few first corrections to the shear viscosity to entropy density ratio $\eta/s$ and surprisingly discover that up to fourth order all corrections originating from a non-zero chemical potential vanish, leaving the bound saturated. This is a sharp signal in favor of the saturation of the viscosity bound for event horizons even in the presence of some finite background field strength. We discuss implications of this observation for the conjectured bound.

9.184507

7.899386

8.686213

7.638609

8.275798

8.167873

8.264444

8.243204

7.603856

9.350259

7.68389

7.582019

7.817871

7.67379

7.591662

7.421893

7.533248

7.527294

7.622023

7.988822

7.620899

0809.3895

Paul Sutcliffe

Peter Bowcock, David Foster and Paul Sutcliffe

Q-balls, Integrability and Duality

Version to appear in J. Phys. A

J.Phys.A42:085403,2009

10.1088/1751-8113/42/8/085403

DCPT-08/57

hep-th

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

This paper is concerned with the dynamics and interactions of Q-balls in (1+1)-dimensions. The asymptotic force between well-separated Q-balls is calculated to show that Q-balls can be attractive or repulsive depending upon their relative internal phase. An integrable model with exact multi-Q-ball solutions is investigated and found to be of use in explaining the dynamics in non-integrable theories. In particular, it is demonstrated that the dynamics of small Q-balls in a generic class of non-integrable models tends towards integrable dynamics as the charge decreases. Long-lived oscillations of a single Q-ball can also be understood in terms of a deformation of an exact breather solution in the integrable model. Finally, we show that any theory with Q-ball solutions has a dual description in which a stationary Q-ball is dual to a static kink, with an interchange of Noether and topological charges.

[ { "created": "Tue, 23 Sep 2008 12:06:11 GMT", "version": "v1" }, { "created": "Thu, 8 Jan 2009 10:22:12 GMT", "version": "v2" } ]

2009-02-09

[ [ "Bowcock", "Peter", "" ], [ "Foster", "David", "" ], [ "Sutcliffe", "Paul", "" ] ]

This paper is concerned with the dynamics and interactions of Q-balls in (1+1)-dimensions. The asymptotic force between well-separated Q-balls is calculated to show that Q-balls can be attractive or repulsive depending upon their relative internal phase. An integrable model with exact multi-Q-ball solutions is investigated and found to be of use in explaining the dynamics in non-integrable theories. In particular, it is demonstrated that the dynamics of small Q-balls in a generic class of non-integrable models tends towards integrable dynamics as the charge decreases. Long-lived oscillations of a single Q-ball can also be understood in terms of a deformation of an exact breather solution in the integrable model. Finally, we show that any theory with Q-ball solutions has a dual description in which a stationary Q-ball is dual to a static kink, with an interchange of Noether and topological charges.

7.660734

7.536048

8.066528

7.380356

7.356348

7.104511

7.595189

7.068258

7.382522

8.466744

7.080038

7.550834

7.926236

7.527999

7.481002

7.453755

7.591622

7.617642

7.713482

7.624008

7.610075

0910.3107

Etera R. Livine

Florian Girelli, Etera R. Livine

Field theories with homogenous momentum space

9 pages, To appear in the Proceedings of the XXV Max Born Symposium, "The Planck Scale", Wroclaw, Poland, July 2009

null

10.1063/1.3284372

null

hep-th

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

We discuss the construction of a scalar field theory with momentum space given by a coset. By introducing a generalized Fourier transform, we show how the dual scalar field theory actually lives in Snyder's space-time. As a side-product we identify a star product realization of Snyder's non-commutative space, but also the deformation of the Poincare symmetries necessary to have these symmetries realized in Snyder's space-time. A key feature of the construction is that the star product is non-associative.

[ { "created": "Fri, 16 Oct 2009 12:53:24 GMT", "version": "v1" } ]

2015-05-14

[ [ "Girelli", "Florian", "" ], [ "Livine", "Etera R.", "" ] ]

We discuss the construction of a scalar field theory with momentum space given by a coset. By introducing a generalized Fourier transform, we show how the dual scalar field theory actually lives in Snyder's space-time. As a side-product we identify a star product realization of Snyder's non-commutative space, but also the deformation of the Poincare symmetries necessary to have these symmetries realized in Snyder's space-time. A key feature of the construction is that the star product is non-associative.

11.399478

11.070667

10.937958

10.236426

10.563272

9.459998

10.230237

10.60959

10.030358

13.34045

10.116801

10.360447

11.289687

10.541696

10.182384

10.159555

10.159843

10.582424

10.4902

11.095734

10.402888

hep-th/9903118

Zhou Bin

Bihn Zhou, Chuan-Jie Zhu

A Study of Brane Solutions in D-dimensional Coupled Gravity System

15 pages, Latex, no figuers, uses amsfonts and amssymb

Commun.Theor.Phys. 32 (1999) 507-514

10.1088/0253-6102/32/4/507

null

hep-th

null

In this paper, we use only the equation of motion for an interacting system of gravity, dilaton and antisymmetric tensor to study the soliton solutions by making use of a Poincar\'e invariant ansatz. We show that the system of equations are completly integrable and the solution is unique with appropriate boundary conditions. Some new class of solutions are also given explicitly.

[ { "created": "Sun, 14 Mar 1999 09:19:22 GMT", "version": "v1" } ]

2018-01-17

[ [ "Zhou", "Bihn", "" ], [ "Zhu", "Chuan-Jie", "" ] ]

In this paper, we use only the equation of motion for an interacting system of gravity, dilaton and antisymmetric tensor to study the soliton solutions by making use of a Poincar\'e invariant ansatz. We show that the system of equations are completly integrable and the solution is unique with appropriate boundary conditions. Some new class of solutions are also given explicitly.

10.993858

8.644933

10.39236

8.885175

9.822389

9.386087

8.944592

9.14197

8.55719

9.874631

8.167201

8.817346

9.845037

9.203609

8.801135

8.98976

8.766302

9.107399

9.007734

9.435718

8.835393

hep-th/9312092

D. V. Ahluwalia, Lanl

M. Sawicki and D. V. Ahluwalia

Parity Transformation in the Front Form

Los Alamos National Laboratory Preprint LA-UR-93-4317

Phys. Lett. B 335 (1994) 24-28

null

hep-th

null

By considering the parity-transformation properties of the $(1/2,\,0)$ and $(0,\,1/2)$ fields in the {\it front form} we find ourselves forced to study the front-form evolution both along $x^+$ and $x^-$ directions. As a by product, we find that half of the dynamical degrees of freedom of a full theory live on the $x^+=0$ surface and the other half on the $x^-=0$ surface. Elsewhere, Jacob shows how these results are required to build a satisfactory, and internally consistent, front-form quantum field theory.

[ { "created": "Sat, 11 Dec 1993 00:37:07 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sawicki", "M.", "" ], [ "Ahluwalia", "D. V.", "" ] ]

By considering the parity-transformation properties of the $(1/2,\,0)$ and $(0,\,1/2)$ fields in the {\it front form} we find ourselves forced to study the front-form evolution both along $x^+$ and $x^-$ directions. As a by product, we find that half of the dynamical degrees of freedom of a full theory live on the $x^+=0$ surface and the other half on the $x^-=0$ surface. Elsewhere, Jacob shows how these results are required to build a satisfactory, and internally consistent, front-form quantum field theory.

11.626712

10.652873

11.328702

10.197318

11.1064

10.349319

11.314893

10.740246

9.990403

12.96944

10.678035

9.883151

10.912176

10.669523

10.469906

10.669952

10.480903

10.781318

10.436436

10.781825

10.765266

2110.06789

Mohammad Reza Setare

M. R. Setare and S. N. Sajadi

Conservation and Integrability in TMG

14 pages. arXiv admin note: text overlap with arXiv:2012.03961 by other authors

null

hep-th

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

In this work, following the paper by Romain Ruzziconi and C\'eline Zwikel \cite{Ruzziconi:2020wrb} we extend the questions of conservation, integrability and renormalization in Bondi gauge and in GR to the theory of Topological Massive Gravity (TMG). We construct the phase space and renormalize the divergences arising within the symplectic structure through a holographic renormalization procedure. We show that the charge expressions are generically finite, conserved and can be made integrable by a field$-$dependent redefinition of the asymptotic symmetry parameters.

[ { "created": "Fri, 1 Oct 2021 06:27:39 GMT", "version": "v1" } ]

2021-10-14

[ [ "Setare", "M. R.", "" ], [ "Sajadi", "S. N.", "" ] ]

In this work, following the paper by Romain Ruzziconi and C\'eline Zwikel \cite{Ruzziconi:2020wrb} we extend the questions of conservation, integrability and renormalization in Bondi gauge and in GR to the theory of Topological Massive Gravity (TMG). We construct the phase space and renormalize the divergences arising within the symplectic structure through a holographic renormalization procedure. We show that the charge expressions are generically finite, conserved and can be made integrable by a field$-$dependent redefinition of the asymptotic symmetry parameters.

13.821103

12.238109

13.517319

10.81585

12.332553

13.321507

11.57768

12.142286

13.351638

14.080356

12.762488

11.10609

11.523841

10.944954

11.438287

11.205335

11.174525

10.664897

11.078884

11.757181

12.090127

2009.10759

Tomoki Nosaka

Tomoki Nosaka and Tokiro Numasawa

Chaos exponents of SYK traversable wormholes

52 pages, many figures

null

10.1007/JHEP02(2021)150

SISSA 23/2020/FISI, MIT-CTP/5242

hep-th cond-mat.stat-mech cond-mat.str-el nlin.CD quant-ph

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

In this paper we study the chaos exponent, the exponential growth rate of the out-of-time-ordered four point functions, in a two coupled SYK models which exhibits a first order phase transition between the high temperature black hole phase and the low temperature gapped phase interpreted as a traversable wormhole. We see that as the temperature decreases the chaos exponent exhibits a discontinuous fall-off from the value of order the universal bound $2\pi/\beta$ at the critical temperature of the phase transition, which is consistent with the expected relation between black holes and strong chaos. Interestingly, the chaos exponent is small but non-zero even in the wormhole phase. This is surprising but consistent with the observation on the decay rate of the two point function [arXiv:2003.03916], and we found the chaos exponent and the decay rate indeed obey the same temperature dependence in this regime. We also studied the chaos exponent of a closely related model with single SYK term, and found that the chaos exponent of this model is always greater than that of the two coupled model in the entire parameter space.

[ { "created": "Tue, 22 Sep 2020 18:41:34 GMT", "version": "v1" } ]

2021-03-17

[ [ "Nosaka", "Tomoki", "" ], [ "Numasawa", "Tokiro", "" ] ]

In this paper we study the chaos exponent, the exponential growth rate of the out-of-time-ordered four point functions, in a two coupled SYK models which exhibits a first order phase transition between the high temperature black hole phase and the low temperature gapped phase interpreted as a traversable wormhole. We see that as the temperature decreases the chaos exponent exhibits a discontinuous fall-off from the value of order the universal bound $2\pi/\beta$ at the critical temperature of the phase transition, which is consistent with the expected relation between black holes and strong chaos. Interestingly, the chaos exponent is small but non-zero even in the wormhole phase. This is surprising but consistent with the observation on the decay rate of the two point function [arXiv:2003.03916], and we found the chaos exponent and the decay rate indeed obey the same temperature dependence in this regime. We also studied the chaos exponent of a closely related model with single SYK term, and found that the chaos exponent of this model is always greater than that of the two coupled model in the entire parameter space.

7.963653

7.807321

8.50193

6.984333

7.472382

6.934285

7.058924

7.681073

6.954486

8.481744

7.051595

7.319451

7.463184

7.190645

7.229687

7.240656

7.343607

7.120368

7.11329

7.837213

7.256349

2211.01047

David Mart\'inez-Crespo

J.L. Alonso, C. Bouthelier-Madre, J. Clemente-Gallardo, D. Mart\'inez-Crespo

A sufficient condition for confinement in QCD

10 pages

null

hep-th

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

This letter is about confinement in QCD. At the moment we have pictures of confinement to complete our understanding of the physics of strongly interacting particles, interaction which asks for confinement. As it is said in [1] : " In principle it should be possible to derive the confinement hypothesis from the QCD Lagrangian. At this time, no rigorous derivation exists, so it is not absolutely clear that the confinement hypothesis is a bone fide prediction of QCD" . In this letter we show that a sufficient (of course not necessary) condition for confinement is that topological structure of vacuum in Nature does not correspond to the $\theta$-vacuum. Therefore, if different vacua with nontrivial winding number cannot be connected by tunneling, we obtain confinement as a consequence.

[ { "created": "Wed, 2 Nov 2022 11:24:47 GMT", "version": "v1" }, { "created": "Wed, 7 Dec 2022 09:32:11 GMT", "version": "v2" } ]

2022-12-08

[ [ "Alonso", "J. L.", "" ], [ "Bouthelier-Madre", "C.", "" ], [ "Clemente-Gallardo", "J.", "" ], [ "Martínez-Crespo", "D.", "" ] ]

This letter is about confinement in QCD. At the moment we have pictures of confinement to complete our understanding of the physics of strongly interacting particles, interaction which asks for confinement. As it is said in [1] : " In principle it should be possible to derive the confinement hypothesis from the QCD Lagrangian. At this time, no rigorous derivation exists, so it is not absolutely clear that the confinement hypothesis is a bone fide prediction of QCD" . In this letter we show that a sufficient (of course not necessary) condition for confinement is that topological structure of vacuum in Nature does not correspond to the $\theta$-vacuum. Therefore, if different vacua with nontrivial winding number cannot be connected by tunneling, we obtain confinement as a consequence.

13.216934

12.160425

12.042536

11.498775

12.924552

12.046227

12.839725

12.412975

11.925164

12.208198

11.983764

12.135001

11.184681

11.452875

11.979472

12.059925

11.991109

11.945887

11.448518

11.580128

11.987956

hep-th/9304123

null

Jiang-Bei Fan and Ming Yu (CCAST and Institute of Theoretical Physics, Academia Sinica)

$G/G$ Gauged Supergroup Valued WZNW Field Theory

AS-ITP-93-22

null

hep-th

null

The $G/G$ gauged supergroup valued WZNW theory is considered. It is shown that for $G=\OSP$, the $G/G$ theory tensoring a ($b$, $c$, $\beta$, $\gamma$) system is equivalent to the non-critical fermionic theory. The relation between integral or half integral moded affine superalgebra and its reduced theory, the NS or R superconformal algebra, is discussed in detail. The physical state space, i.e. the BRST semi-infinite cohomology, is calculated, for the $\OSP/\OSP$ theory.

[ { "created": "Mon, 26 Apr 1993 10:53:09 GMT", "version": "v1" }, { "created": "Fri, 9 Jul 1993 10:19:59 GMT", "version": "v2" } ]

2008-02-03

[ [ "Fan", "Jiang-Bei", "", "CCAST and Institute of Theoretical Physics,\n Academia Sinica" ], [ "Yu", "Ming", "", "CCAST and Institute of Theoretical Physics,\n Academia Sinica" ] ]

The $G/G$ gauged supergroup valued WZNW theory is considered. It is shown that for $G=\OSP$, the $G/G$ theory tensoring a ($b$, $c$, $\beta$, $\gamma$) system is equivalent to the non-critical fermionic theory. The relation between integral or half integral moded affine superalgebra and its reduced theory, the NS or R superconformal algebra, is discussed in detail. The physical state space, i.e. the BRST semi-infinite cohomology, is calculated, for the $\OSP/\OSP$ theory.

12.37823

11.928124

16.105499

11.032977

12.686441

12.670146

10.678756

11.430092

10.564022

17.080778

10.950832

11.323607

13.620456

10.940183

11.458591

10.937222

10.998186

10.861217

11.330748

13.669759

10.760819

hep-th/9907003

Maulik Parikh

D. S. Berman and Maulik K. Parikh

Holography and Rotating AdS Black Holes

LaTeX, 13 pages, typos corrected, references added

Phys.Lett.B463:168-173,1999

10.1016/S0370-2693(99)00974-0

SPIN-1999/15 and THU-99/12

hep-th

null

We probe the AdS/CFT correspondence by comparing the thermodynamics of a rotating black hole in five-dimensional anti-de Sitter space with that of a conformal field theory on $S^3$, whose parameters come from the boundary of spacetime. In the high temperature limit, we find agreement between gauge theory and gravity in all thermodynamic quantities upto the same factor of 4/3 that appears for nonrotating holes.

[ { "created": "Thu, 1 Jul 1999 23:29:49 GMT", "version": "v1" }, { "created": "Fri, 4 Feb 2000 00:59:59 GMT", "version": "v2" } ]

2010-11-19

[ [ "Berman", "D. S.", "" ], [ "Parikh", "Maulik K.", "" ] ]

We probe the AdS/CFT correspondence by comparing the thermodynamics of a rotating black hole in five-dimensional anti-de Sitter space with that of a conformal field theory on $S^3$, whose parameters come from the boundary of spacetime. In the high temperature limit, we find agreement between gauge theory and gravity in all thermodynamic quantities upto the same factor of 4/3 that appears for nonrotating holes.

7.859476

6.57475

7.484392

6.632636

6.936112

6.374366

6.272707

6.189439

6.381339

7.878216

6.562043

6.433714

7.165547

7.106643

6.748837

7.056302

6.769749

7.193914

6.91582

7.148012

6.680767

hep-th/9707044

Dmitri Sorokin

Gianguido Dall'Agata, Kurt Lechner and Dmitri Sorokin

Covariant Actions for the Bosonic Sector of D=10 IIB Supergravity

LaTeX file, 5 pages

Class.Quant.Grav.14:L195-L198,1997

10.1088/0264-9381/14/12/003

DFPD 97/TH/31

hep-th

null

Covariant actions for the bosonic fields of D=10 IIB supergravity are constructed with the help of a single auxiliary scalar field and in a formulation with an infinite series of auxiliary (anti)-self-dual 5-form fields.

[ { "created": "Thu, 3 Jul 1997 16:22:52 GMT", "version": "v1" } ]

2010-04-06

[ [ "Dall'Agata", "Gianguido", "" ], [ "Lechner", "Kurt", "" ], [ "Sorokin", "Dmitri", "" ] ]

Covariant actions for the bosonic fields of D=10 IIB supergravity are constructed with the help of a single auxiliary scalar field and in a formulation with an infinite series of auxiliary (anti)-self-dual 5-form fields.

10.720028

8.717193

9.806001

7.893471

8.894791

8.457178

8.859788

7.98165

8.018234

9.466803

8.649345

7.239943

8.861444

7.669976

7.622612

7.83103

7.667997

7.573074

7.442347

9.198522

7.985982

1107.4997

George Savvidy K

Ignatios Antoniadis and George Savvidy

Conformal invariance of tensor bosons tree amplitudes

17 pages; references added; Mod.Phys.Lett.A (2012). arXiv admin note: text overlap with arXiv:1007.3756

Mod.Phys.Lett. A27 (2012) 1250103

10.1142/S0217732312501039

CERN-PH-TH/2011-175; NRCPS-HE-38-2011

hep-th

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

The BCFW recursion relation allows to find out the tree-level scattering amplitudes for gluons and tensor gauge bosons in generalized Yang-Mills theory. We demonstrate that the corresponding MHV amplitudes for the tensor gauge bosons of spin-s and n gluons are invariant under conformal group transformations. We discuss and compare the tree-level scattering amplitudes for the charged tensor bosons with the corresponding scattering amplitudes for gravitons, stressing their differences and similarities.

[ { "created": "Mon, 25 Jul 2011 16:47:16 GMT", "version": "v1" }, { "created": "Mon, 14 May 2012 06:27:39 GMT", "version": "v2" } ]

2012-06-07

[ [ "Antoniadis", "Ignatios", "" ], [ "Savvidy", "George", "" ] ]

The BCFW recursion relation allows to find out the tree-level scattering amplitudes for gluons and tensor gauge bosons in generalized Yang-Mills theory. We demonstrate that the corresponding MHV amplitudes for the tensor gauge bosons of spin-s and n gluons are invariant under conformal group transformations. We discuss and compare the tree-level scattering amplitudes for the charged tensor bosons with the corresponding scattering amplitudes for gravitons, stressing their differences and similarities.

9.30719

8.726252

8.414442

7.973393

8.265287

8.692028

8.606039

8.388783

8.187883

10.426609

8.210101

8.572943

8.557527

8.67107

8.343102

8.565864

7.839438

7.9892

8.084315

8.567996

8.190868

2201.00657

Yang Liu

Tachyon model of Tsallis holographic dark energy

null

Eur. Phys. J. Plus 136, 579 (2021)

10.1140/epjp/s13360-021-01573-y

null

hep-th

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

In this paper, we consider the correspondence between the tachyon dark energy model and the Tsallis holographic dark energy scenario in an FRW universe.We demonstrate the Tsallis holographic description of tachyon dark energy in an FRW universe and reconstruct the potential and basic results of the dynamics of the scalar field which describe the tachyon cosmology. In a flat universe, in the tachyon model of Tsallis holographic dark energy, independent of the existence of interaction between dark energy and matter or not, \dot{T}^2 must always be zero. Therefore, the equation of state {\omega}_D is always -1 in such a flat universe. For a non-flat universe, \dot{T}^2 cannot be zero so that {\omega}_D=-1 which cannot be used to explain the origin of the cosmological constant. \dot{T}^2 monotonically decreases with the increase in \cos(R_h/a) and \cosh(R_h/a) for different {\delta}'s. In particular, for an open universe, \dot{T}^2 is always larger than zero, while for a closed universe, \dot{T}^2 is always smaller than zerowhich is physically invalid. In addition, we conclude that with the increase in \cos(R_h/a) and \cosh(R_h/a), \dot{T}^2 always decreases monotonically irrespective of the value of b^2.

[ { "created": "Fri, 31 Dec 2021 15:02:51 GMT", "version": "v1" } ]

2022-01-04

[ [ "Liu", "Yang", "" ] ]

In this paper, we consider the correspondence between the tachyon dark energy model and the Tsallis holographic dark energy scenario in an FRW universe.We demonstrate the Tsallis holographic description of tachyon dark energy in an FRW universe and reconstruct the potential and basic results of the dynamics of the scalar field which describe the tachyon cosmology. In a flat universe, in the tachyon model of Tsallis holographic dark energy, independent of the existence of interaction between dark energy and matter or not, \dot{T}^2 must always be zero. Therefore, the equation of state {\omega}_D is always -1 in such a flat universe. For a non-flat universe, \dot{T}^2 cannot be zero so that {\omega}_D=-1 which cannot be used to explain the origin of the cosmological constant. \dot{T}^2 monotonically decreases with the increase in \cos(R_h/a) and \cosh(R_h/a) for different {\delta}'s. In particular, for an open universe, \dot{T}^2 is always larger than zero, while for a closed universe, \dot{T}^2 is always smaller than zerowhich is physically invalid. In addition, we conclude that with the increase in \cos(R_h/a) and \cosh(R_h/a), \dot{T}^2 always decreases monotonically irrespective of the value of b^2.

6.519874

6.940683

6.304266

6.112691

6.448835

6.626619

6.658653

6.508552

6.524642

6.766422

6.505594

6.156618

6.3496

6.240783

6.212544

6.228229

6.302241

6.06191

6.375507

6.317706

6.326458

0709.0731

Julian Sonner

Chris Pedder, Julian Sonner and David Tong

The Geometric Phase in Supersymmetric Quantum Mechanics

28 pages, 2 figures, references added. v2: clarification of possible corrections to Abelian Berry phase. v3: footnotes added to point the reader towards later developments

Phys.Rev.D77:025009,2008

10.1103/PhysRevD.77.025009

DAMTP-2007-84

hep-th

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

We explore the geometric phase in N=(2,2) supersymmetric quantum mechanics. The Witten index ensures the existence of degenerate ground states, resulting in a non-Abelian Berry connection. We exhibit a non-renormalization theorem which prohibits the connection from receiving perturbative corrections. However, we show that it does receive corrections from BPS instantons. We compute the one-instanton contribution to the Berry connection for the massive CP^1 sigma-model as the potential is varied. This system has two ground states and the associated Berry connection is the smooth SU(2) 't Hooft-Polyakov monopole.

[ { "created": "Thu, 6 Sep 2007 13:09:13 GMT", "version": "v1" }, { "created": "Thu, 13 Sep 2007 17:45:33 GMT", "version": "v2" }, { "created": "Tue, 27 Nov 2007 17:50:05 GMT", "version": "v3" }, { "created": "Thu, 30 Oct 2008 15:08:04 GMT", "version": "v4" } ]

2008-11-26

[ [ "Pedder", "Chris", "" ], [ "Sonner", "Julian", "" ], [ "Tong", "David", "" ] ]

We explore the geometric phase in N=(2,2) supersymmetric quantum mechanics. The Witten index ensures the existence of degenerate ground states, resulting in a non-Abelian Berry connection. We exhibit a non-renormalization theorem which prohibits the connection from receiving perturbative corrections. However, we show that it does receive corrections from BPS instantons. We compute the one-instanton contribution to the Berry connection for the massive CP^1 sigma-model as the potential is varied. This system has two ground states and the associated Berry connection is the smooth SU(2) 't Hooft-Polyakov monopole.

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