LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1812.07598

Xizhi Han

Xizhi Han and Sean A. Hartnoll

Quantum Scrambling and State Dependence of the Butterfly Velocity

13 pages + appendices, 3 + 6 figures. v3: improved presentation

SciPost Phys. 7, 045 (2019)

10.21468/SciPostPhys.7.4.045

null

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

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

Operator growth in spatially local quantum many-body systems defines a scrambling velocity. We prove that this scrambling velocity bounds the state dependence of the out-of-time-ordered correlator in local lattice models. We verify this bound in simulations of the thermal mixed-field Ising spin chain. For scrambling operators, the butterfly velocity shows a crossover from a microscopic high temperature value to a distinct value at temperatures below the energy gap.

[ { "created": "Tue, 18 Dec 2018 19:06:43 GMT", "version": "v1" }, { "created": "Mon, 25 Mar 2019 23:40:19 GMT", "version": "v2" }, { "created": "Wed, 14 Aug 2019 02:45:22 GMT", "version": "v3" } ]

2019-10-09

[ [ "Han", "Xizhi", "" ], [ "Hartnoll", "Sean A.", "" ] ]

Operator growth in spatially local quantum many-body systems defines a scrambling velocity. We prove that this scrambling velocity bounds the state dependence of the out-of-time-ordered correlator in local lattice models. We verify this bound in simulations of the thermal mixed-field Ising spin chain. For scrambling operators, the butterfly velocity shows a crossover from a microscopic high temperature value to a distinct value at temperatures below the energy gap.

19.172302

22.00964

21.05114

16.51309

18.071558

16.739716

19.497152

18.543119

16.449594

20.579542

16.382038

15.52957

17.15168

16.205973

17.312872

17.366491

16.514456

17.140903

16.06356

17.851904

16.464649

1609.05062

Thomas Mohaupt

P. Dempster, D. Errington, J. Gutowski and T. Mohaupt

Five-dimensional Nernst branes from special geometry

59 pages, 1 figure. Revised version: references added, typos corrected. Final version, accepted by JHEP: two references added

null

10.1007/JHEP11(2016)114

LTH 1099, DMUS--MP--16/19

hep-th

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

We construct Nernst brane solutions, that is black branes with zero entropy density in the extremal limit, of FI-gauged minimal five-dimensional supergravity coupled to an arbitrary number of vector multiplets. While the scalars take specific constant values and dynamically determine the value of the cosmological constant in terms of the FI-parameters, the metric takes the form of a boosted AdS Schwarzschild black brane. This metric can be brought to the Carter-Novotny-Horsky form that has previously been observed to occur in certain limits of boosted D3-branes. By dimensional reduction to four dimensions we recover the four-dimensional Nernst branes of arXiv:1501.07863 and show how the five-dimensional lift resolves all their UV singularities. The dynamics of the compactification circle, which expands both in the UV and in the IR, plays a crucial role. At asymptotic infinity, the curvature singularity of the four-dimensional metric and the run-away behaviour of the four-dimensional scalar combine in such a way that the lifted solution becomes asymptotic to AdS5. Moreover, the existence of a finite chemical potential in four dimensions is related to fact that the compactification circle has a finite minimal value. While it is not clear immediately how to embed our solutions into string theory, we argue that the same type of dictionary as proposed for boosted D3-branes should apply, although with a lower amount of supersymmetry.

[ { "created": "Fri, 16 Sep 2016 14:03:21 GMT", "version": "v1" }, { "created": "Tue, 11 Oct 2016 13:49:40 GMT", "version": "v2" }, { "created": "Wed, 16 Nov 2016 10:19:13 GMT", "version": "v3" } ]

2016-12-21

[ [ "Dempster", "P.", "" ], [ "Errington", "D.", "" ], [ "Gutowski", "J.", "" ], [ "Mohaupt", "T.", "" ] ]

We construct Nernst brane solutions, that is black branes with zero entropy density in the extremal limit, of FI-gauged minimal five-dimensional supergravity coupled to an arbitrary number of vector multiplets. While the scalars take specific constant values and dynamically determine the value of the cosmological constant in terms of the FI-parameters, the metric takes the form of a boosted AdS Schwarzschild black brane. This metric can be brought to the Carter-Novotny-Horsky form that has previously been observed to occur in certain limits of boosted D3-branes. By dimensional reduction to four dimensions we recover the four-dimensional Nernst branes of arXiv:1501.07863 and show how the five-dimensional lift resolves all their UV singularities. The dynamics of the compactification circle, which expands both in the UV and in the IR, plays a crucial role. At asymptotic infinity, the curvature singularity of the four-dimensional metric and the run-away behaviour of the four-dimensional scalar combine in such a way that the lifted solution becomes asymptotic to AdS5. Moreover, the existence of a finite chemical potential in four dimensions is related to fact that the compactification circle has a finite minimal value. While it is not clear immediately how to embed our solutions into string theory, we argue that the same type of dictionary as proposed for boosted D3-branes should apply, although with a lower amount of supersymmetry.

8.492702

8.333119

9.964562

8.139572

8.472229

8.636931

8.265897

8.585942

8.212412

10.909106

8.283281

8.028112

8.866817

8.183393

8.386334

8.202871

8.061853

8.291098

8.218783

9.089381

8.149945

2304.05911

Igor Barashenkov

N. V. Alexeeva, I. V. Barashenkov, A. A. Bogolubskaya, E. V. Zemlyanaya

Understanding oscillons: standing waves in a ball

13 pages, 12 figures

null

10.1103/PhysRevD.107.076023

null

hep-th

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

Oscillons are localised long-lived pulsating states in the three-dimensional $\phi^4$ theory. We gain insight into the spatio-temporal structure and bifurcation of the oscillons by studying time-periodic solutions in a ball of a finite radius. A sequence of weakly localised {\it Bessel waves} -- nonlinear standing waves with the Bessel-like $r$-dependence -- is shown to extend from eigenfunctions of the linearised operator. The lowest-frequency Bessel wave serves as a starting point of a branch of periodic solutions with exponentially localised cores and small-amplitude tails decaying slowly towards the surface of the ball. A numerical continuation of this branch gives rise to the energy-frequency diagram featuring a series of resonant spikes. We show that the standing waves associated with the resonances are born in the period-multiplication bifurcations of the Bessel waves with higher frequencies. The energy-frequency diagram for a sufficiently large ball displays sizeable intervals of stability against spherically-symmetric perturbations.

[ { "created": "Wed, 12 Apr 2023 15:29:38 GMT", "version": "v1" } ]

2023-05-03

[ [ "Alexeeva", "N. V.", "" ], [ "Barashenkov", "I. V.", "" ], [ "Bogolubskaya", "A. A.", "" ], [ "Zemlyanaya", "E. V.", "" ] ]

Oscillons are localised long-lived pulsating states in the three-dimensional $\phi^4$ theory. We gain insight into the spatio-temporal structure and bifurcation of the oscillons by studying time-periodic solutions in a ball of a finite radius. A sequence of weakly localised {\it Bessel waves} -- nonlinear standing waves with the Bessel-like $r$-dependence -- is shown to extend from eigenfunctions of the linearised operator. The lowest-frequency Bessel wave serves as a starting point of a branch of periodic solutions with exponentially localised cores and small-amplitude tails decaying slowly towards the surface of the ball. A numerical continuation of this branch gives rise to the energy-frequency diagram featuring a series of resonant spikes. We show that the standing waves associated with the resonances are born in the period-multiplication bifurcations of the Bessel waves with higher frequencies. The energy-frequency diagram for a sufficiently large ball displays sizeable intervals of stability against spherically-symmetric perturbations.

10.85363

12.999767

11.619672

11.450964

12.677815

11.501084

12.886383

11.449208

11.076598

13.03022

10.642467

10.829846

10.69143

10.610092

10.466237

10.378831

10.934957

10.549492

10.812994

10.636801

10.153443

hep-th/9512163

Luis Masperi

A. Della Selva, J. Magnin and L. Masperi

Bargmann-Michel-Telegdi equation and one-particle relativistic approach

10 pages, LATEX2E, uses amsby

NuovoCim.B111:855-862,1996

10.1007/BF02749016

null

hep-th

null

A reexamination of the semiclassical approach of the relativistic electron indicates a possible variation of its helicity for electric and magnetic static fields applied along its global motion due to zitterbewegung effects, proportional to the anomalous part of the magnetic moment.

[ { "created": "Wed, 20 Dec 1995 12:44:45 GMT", "version": "v1" } ]

2008-11-26

[ [ "Della Selva", "A.", "" ], [ "Magnin", "J.", "" ], [ "Masperi", "L.", "" ] ]

A reexamination of the semiclassical approach of the relativistic electron indicates a possible variation of its helicity for electric and magnetic static fields applied along its global motion due to zitterbewegung effects, proportional to the anomalous part of the magnetic moment.

28.350241

25.578123

27.249842

23.279963

22.323788

23.746557

24.483845

24.154154

23.247084

28.30945

22.848274

20.914894

23.215103

22.346041

21.748215

22.580978

22.447464

21.477127

23.382402

24.900002

22.662548

2012.15763

Parinya Karndumri

Parinya Karndumri and Chawakorn Maneerat

Supersymmetric Janus solutions in $\omega$-deformed N=8 gauged supergravity

29 pages, 16 figures, more solutions and some clarification added, presentation improved

Eur. Phys. J. C81 (2021) 801

10.1140/epjc/s10052-021-09582-y

null

hep-th

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

We give a large class of supersymmetric Janus solutions in $\omega$-deformed (dyonic) $SO(8)$ maximal gauged supergravity with $\omega=\frac{\pi}{8}$. Unlike the purely electric counterpart, the dyonic $SO(8)$ gauged supergravity exhibits a richer structure of $AdS_4$ vacua with $N=8,2,1,1$ supersymmetries and $SO(8)$, $U(3)$, $G_2$ and $SU(3)$ symmetries, respectively. Similarly, domain walls interpolating among these critical points show a very rich structure as well. In this paper, we show that this gauged supergravity also accommodates a number of interesting supersymmetric Janus solutions in the form of $AdS_3$-sliced domain walls asymptotically interpolating between the aforementioned $AdS_4$ geometries. These solutions could be holographically interpreted as two-dimensional conformal defects within the superconformal field theories (SCFTs) of ABJM type dual to the $AdS_4$ vacua. We also give a class of solutions interpolating among the $SO(8)$, $G_2$ and $U(3)$ $AdS_4$ vacua in the case of $\omega=0$ which have not previously appeared in the presently known Janus solutions of electric $SO(8)$ gauged supergravity.

[ { "created": "Thu, 31 Dec 2020 17:38:52 GMT", "version": "v1" }, { "created": "Wed, 13 Jan 2021 17:46:12 GMT", "version": "v2" } ]

2021-09-21

[ [ "Karndumri", "Parinya", "" ], [ "Maneerat", "Chawakorn", "" ] ]

We give a large class of supersymmetric Janus solutions in $\omega$-deformed (dyonic) $SO(8)$ maximal gauged supergravity with $\omega=\frac{\pi}{8}$. Unlike the purely electric counterpart, the dyonic $SO(8)$ gauged supergravity exhibits a richer structure of $AdS_4$ vacua with $N=8,2,1,1$ supersymmetries and $SO(8)$, $U(3)$, $G_2$ and $SU(3)$ symmetries, respectively. Similarly, domain walls interpolating among these critical points show a very rich structure as well. In this paper, we show that this gauged supergravity also accommodates a number of interesting supersymmetric Janus solutions in the form of $AdS_3$-sliced domain walls asymptotically interpolating between the aforementioned $AdS_4$ geometries. These solutions could be holographically interpreted as two-dimensional conformal defects within the superconformal field theories (SCFTs) of ABJM type dual to the $AdS_4$ vacua. We also give a class of solutions interpolating among the $SO(8)$, $G_2$ and $U(3)$ $AdS_4$ vacua in the case of $\omega=0$ which have not previously appeared in the presently known Janus solutions of electric $SO(8)$ gauged supergravity.

4.986649

4.742225

5.780403

4.698376

4.849212

5.054689

4.797143

4.597197

4.721685

5.978303

4.581915

4.760232

5.313131

4.731606

4.718084

4.722124

4.786826

4.839676

4.757606

5.167788

4.6478

2010.15133

Christian Jepsen

Christian B. Jepsen, Igor R. Klebanov, and Fedor K. Popov

RG Limit Cycles and Unconventional Fixed Points in Perturbative QFT

v4: typo in eq. (41) corrected and discussion near it improved

Phys. Rev. D 103, 046015 (2021)

10.1103/PhysRevD.103.046015

null

hep-th

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

We study quantum field theories with sextic interactions in $3-\epsilon$ dimensions, where the scalar fields $\phi^{ab}$ form irreducible representations under the $O(N)^2$ or $O(N)$ global symmetry group. We calculate the beta functions up to four-loop order and find the Renormalization Group fixed points. In an example of large $N$ equivalence, the parent $O(N)^2$ theory and its anti-symmetric projection exhibit identical large $N$ beta functions which possess real fixed points. However, for projection to the symmetric traceless representation of $O(N)$, the large $N$ equivalence is violated by the appearance of an additional double-trace operator not inherited from the parent theory. Among the large $N$ fixed points of this daughter theory we find complex CFTs. The symmetric traceless $O(N)$ model also exhibits very interesting phenomena when it is analytically continued to small non-integer values of $N$. Here we find unconventional fixed points, which we call "spooky." They are located at real values of the coupling constants $g^i$, but two eigenvalues of the Jacobian matrix $\partial \beta^i/\partial g^j$ are complex. When these complex conjugate eigenvalues cross the imaginary axis, a Hopf bifurcation occurs, giving rise to RG limit cycles. This crossing occurs for $N_{\rm crit} \approx 4.475$, and for a small range of $N$ above this value we find RG flows which lead to limit cycles.

[ { "created": "Wed, 28 Oct 2020 18:00:03 GMT", "version": "v1" }, { "created": "Mon, 14 Dec 2020 20:14:38 GMT", "version": "v2" }, { "created": "Tue, 2 Mar 2021 21:33:47 GMT", "version": "v3" }, { "created": "Thu, 29 Apr 2021 17:36:38 GMT", "version": "v4" } ]

2021-04-30

[ [ "Jepsen", "Christian B.", "" ], [ "Klebanov", "Igor R.", "" ], [ "Popov", "Fedor K.", "" ] ]

We study quantum field theories with sextic interactions in $3-\epsilon$ dimensions, where the scalar fields $\phi^{ab}$ form irreducible representations under the $O(N)^2$ or $O(N)$ global symmetry group. We calculate the beta functions up to four-loop order and find the Renormalization Group fixed points. In an example of large $N$ equivalence, the parent $O(N)^2$ theory and its anti-symmetric projection exhibit identical large $N$ beta functions which possess real fixed points. However, for projection to the symmetric traceless representation of $O(N)$, the large $N$ equivalence is violated by the appearance of an additional double-trace operator not inherited from the parent theory. Among the large $N$ fixed points of this daughter theory we find complex CFTs. The symmetric traceless $O(N)$ model also exhibits very interesting phenomena when it is analytically continued to small non-integer values of $N$. Here we find unconventional fixed points, which we call "spooky." They are located at real values of the coupling constants $g^i$, but two eigenvalues of the Jacobian matrix $\partial \beta^i/\partial g^j$ are complex. When these complex conjugate eigenvalues cross the imaginary axis, a Hopf bifurcation occurs, giving rise to RG limit cycles. This crossing occurs for $N_{\rm crit} \approx 4.475$, and for a small range of $N$ above this value we find RG flows which lead to limit cycles.

7.468635

7.574779

8.463814

7.225909

7.703038

7.626253

7.429912

7.526975

7.325938

9.238485

7.055135

7.058898

7.552742

7.153138

7.136843

7.459913

7.365024

7.157526

7.216057

7.555009

7.16578

0711.3233

Alejandra Montecinos Mrs

Rodrigo Aros, Andres Gomberoff and Alejandra Montecinos

Counting the negative eigenvalues of the thermalon in three dimensions

null

Phys.Rev.D77:063501,2008

10.1103/PhysRevD.77.063501

null

hep-th

null

Some years ago it was shown that the cosmological constant may be reduced by thermal production of membranes that, after nucleation, collapse into a black hole. The probability of the process was calculated in the leading semiclassical approximation by studying an associated Euclidean configuration called the thermalon. Here we investigate the thermalon in three spacetime dimensions, describing the nucleation of closed strings that collapse into point particle singularities. In this context we may analyze the one-loop structure without the well known problems brought in by the propagating gravitational degrees of freedom. We found that the coupling to gravity may increase the number of negative eigenvalues of the operator.

[ { "created": "Tue, 20 Nov 2007 23:25:00 GMT", "version": "v1" } ]

2008-11-26

[ [ "Aros", "Rodrigo", "" ], [ "Gomberoff", "Andres", "" ], [ "Montecinos", "Alejandra", "" ] ]

Some years ago it was shown that the cosmological constant may be reduced by thermal production of membranes that, after nucleation, collapse into a black hole. The probability of the process was calculated in the leading semiclassical approximation by studying an associated Euclidean configuration called the thermalon. Here we investigate the thermalon in three spacetime dimensions, describing the nucleation of closed strings that collapse into point particle singularities. In this context we may analyze the one-loop structure without the well known problems brought in by the propagating gravitational degrees of freedom. We found that the coupling to gravity may increase the number of negative eigenvalues of the operator.

15.719258

14.166903

16.751053

13.408603

15.753581

14.74697

15.275528

13.912846

14.234264

15.352868

14.025927

13.983906

14.571289

14.041686

14.581778

14.095777

13.951001

14.303109

14.160187

15.008453

13.90624

1507.00486

Yoshifumi Hyakutake

Super Virasoro Algebras From Chiral Supergravity

15 pages, no figure. Several references are added and explanations for refs. [27],[28],[29] are inserted in sections 1, 2, and 5. Explanations for eq. (1) and its variation are improved. Comments for the notation and calculation are added in footnotes

Universe 2015, 1(2), 292-306

10.3390/universe1020292

null

hep-th

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

In this note, we construct Noether charges for the chiral supergravity, which contains the Lorentz Chern-Simons term, by applying Wald's prescription to the vielbein formalism. We investigate the AdS3/CFT2 correspondence by using the vielbein formalism. The asymptotic symmetry group is carefully examined by taking into account the local Lorentz transformation, and we construct super Virasoro algebras with central extensions from the chiral supergravity.

[ { "created": "Thu, 2 Jul 2015 09:28:10 GMT", "version": "v1" }, { "created": "Tue, 1 Sep 2015 09:00:26 GMT", "version": "v2" } ]

2015-09-29

[ [ "Hyakutake", "Yoshifumi", "" ] ]

In this note, we construct Noether charges for the chiral supergravity, which contains the Lorentz Chern-Simons term, by applying Wald's prescription to the vielbein formalism. We investigate the AdS3/CFT2 correspondence by using the vielbein formalism. The asymptotic symmetry group is carefully examined by taking into account the local Lorentz transformation, and we construct super Virasoro algebras with central extensions from the chiral supergravity.

7.651535

6.975423

6.808945

6.094141

6.836459

6.389091

6.419304

5.851541

6.356404

7.769868

6.380314

6.469553

6.981072

6.650714

6.687188

6.518609

6.28892

6.312887

6.338447

6.696733

6.444167

1412.6499

Diego Redigolo

Riccardo Argurio, Matteo Bertolini, Daniele Musso, Flavio Porri, Diego Redigolo

The Holographic Goldstino

24 pages, 1 figure. Version 3: version accepted for publication

Phys. Rev. D 91, 126016 (2015)

10.1103/PhysRevD.91.126016

null

hep-th

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

We find the fingerprints of the Goldstino associated to spontaneous supersymmetry breaking in a prototype holographic model for a strongly coupled field theory. The Goldstino massless pole arises in two-point correlators of the supercurrent, due to contact terms in supersymmetry Ward identities. We show how these contact terms are obtained from the holographic renormalization of the gravitino sector, independently of the details of the bulk background solution. For completeness, we provide an example of a family of such solutions in a simple supergravity model.

[ { "created": "Fri, 19 Dec 2014 19:40:57 GMT", "version": "v1" }, { "created": "Fri, 16 Jan 2015 17:03:54 GMT", "version": "v2" }, { "created": "Fri, 12 Jun 2015 13:40:32 GMT", "version": "v3" } ]

2015-07-01

[ [ "Argurio", "Riccardo", "" ], [ "Bertolini", "Matteo", "" ], [ "Musso", "Daniele", "" ], [ "Porri", "Flavio", "" ], [ "Redigolo", "Diego", "" ] ]

We find the fingerprints of the Goldstino associated to spontaneous supersymmetry breaking in a prototype holographic model for a strongly coupled field theory. The Goldstino massless pole arises in two-point correlators of the supercurrent, due to contact terms in supersymmetry Ward identities. We show how these contact terms are obtained from the holographic renormalization of the gravitino sector, independently of the details of the bulk background solution. For completeness, we provide an example of a family of such solutions in a simple supergravity model.

9.176667

9.204228

10.619114

8.549814

9.427364

8.574037

9.76893

8.563049

8.990397

11.810187

8.446409

9.027452

9.366388

9.301204

9.402635

9.050882

8.818983

9.023291

8.984938

9.636907

8.811737

1008.3950

Takao Suyama

On Large N Solution of Gaiotto-Tomasiello Theory

25 pages, (v2) references added, (v3) references added, typos corrected, published version

JHEP 1010:101,2010

10.1007/JHEP10(2010)101

SNUTP10-007

hep-th

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

The planar solution is discussed for an N=3 Chern-Simons-matter theory constructed recently by Gaiotto and Tomasiello. The planar resolvent is obtained in terms of contour integrals. If the sum of two Chern-Simons levels k_1,k_2 is small, the expectation value of a supersymmetric Wilson loop grows exponentially with the total 't Hooft coupling, as is expected from AdS/CFT correspondence. If one of the Chern-Simons levels, say k_2, is taken to infinity, for which one of the 't Hooft coupling constants becomes zero, then the exponential behavior disappears.

[ { "created": "Tue, 24 Aug 2010 02:37:40 GMT", "version": "v1" }, { "created": "Mon, 6 Sep 2010 07:03:23 GMT", "version": "v2" }, { "created": "Tue, 26 Oct 2010 08:04:18 GMT", "version": "v3" } ]

2010-11-11

[ [ "Suyama", "Takao", "" ] ]

The planar solution is discussed for an N=3 Chern-Simons-matter theory constructed recently by Gaiotto and Tomasiello. The planar resolvent is obtained in terms of contour integrals. If the sum of two Chern-Simons levels k_1,k_2 is small, the expectation value of a supersymmetric Wilson loop grows exponentially with the total 't Hooft coupling, as is expected from AdS/CFT correspondence. If one of the Chern-Simons levels, say k_2, is taken to infinity, for which one of the 't Hooft coupling constants becomes zero, then the exponential behavior disappears.

7.47145

6.528521

8.362659

6.567472

6.327932

6.4066

6.218147

6.638619

6.679949

9.45828

6.58862

6.702991

7.544467

6.831885

6.738915

6.75332

6.622505

6.699123

6.77948

7.775108

6.844089

2103.15709

Renata Ferrero

Renata Ferrero and Martin Reuter

Towards a Geometrization of Renormalization Group Histories in Asymptotic Safety

null

Universe 2021, 7(5), 125

10.3390/universe7050125

null

hep-th gr-qc

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

Considering the scale dependent effective spacetimes implied by the functional renormalization group in d-dimensional Quantum Einstein Gravity, we discuss the representation of entire evolution histories by means of a single, (d + 1)-dimensional manifold furnished with a fixed (pseudo-) Riemannian structure. This "scale-space-time" carries a natural foliation whose leaves are the ordinary spacetimes seen at a given resolution. We propose a universal form of the higher dimensional metric and discuss its properties. We show that, under precise conditions, this metric is always Ricci flat and admits a homothetic Killing vector field; if the evolving spacetimes are maximally symmetric, their (d + 1)-dimensional representative has a vanishing Riemann tensor even. The non-degeneracy of the higher dimensional metric which "geometrizes" a given RG trajectory is linked to a monotonicity requirement for the running of the cosmological constant, which we test in the case of Asymptotic Safety.

[ { "created": "Mon, 29 Mar 2021 15:48:43 GMT", "version": "v1" } ]

2021-05-12

[ [ "Ferrero", "Renata", "" ], [ "Reuter", "Martin", "" ] ]

Considering the scale dependent effective spacetimes implied by the functional renormalization group in d-dimensional Quantum Einstein Gravity, we discuss the representation of entire evolution histories by means of a single, (d + 1)-dimensional manifold furnished with a fixed (pseudo-) Riemannian structure. This "scale-space-time" carries a natural foliation whose leaves are the ordinary spacetimes seen at a given resolution. We propose a universal form of the higher dimensional metric and discuss its properties. We show that, under precise conditions, this metric is always Ricci flat and admits a homothetic Killing vector field; if the evolving spacetimes are maximally symmetric, their (d + 1)-dimensional representative has a vanishing Riemann tensor even. The non-degeneracy of the higher dimensional metric which "geometrizes" a given RG trajectory is linked to a monotonicity requirement for the running of the cosmological constant, which we test in the case of Asymptotic Safety.

10.977363

10.022528

10.873021

9.828578

10.94919

10.687081

9.991635

10.134463

10.061232

11.332534

10.035715

9.959817

10.313456

9.971864

10.102963

9.834919

9.8525

10.009003

10.120832

10.212836

10.206911

hep-th/0503084

Yassen Stanev

Luigi Genovese and Yassen S. Stanev

Rationality of the Anomalous Dimensions in N=4 SYM theory

20 pages, LaTeX

Nucl.Phys. B721 (2005) 212-228

10.1016/j.nuclphysb.2005.06.004

ROM2F/2004/35

hep-th

null

We reconsider the general constraints on the perturbative anomalous dimensions in conformal invariant QFT and in particular in N=4 SYM with gauge group SU(N_c). We show that all the perturbative corrections to the anomalous dimension of a renormalized gauge invariant local operator can be written as polynomials in its one loop anomalous dimension. In the N=4 SYM theory the coefficients of these polynomials are rational functions of the number of colours N_c.

[ { "created": "Thu, 10 Mar 2005 13:30:24 GMT", "version": "v1" } ]

2010-04-05

[ [ "Genovese", "Luigi", "" ], [ "Stanev", "Yassen S.", "" ] ]

We reconsider the general constraints on the perturbative anomalous dimensions in conformal invariant QFT and in particular in N=4 SYM with gauge group SU(N_c). We show that all the perturbative corrections to the anomalous dimension of a renormalized gauge invariant local operator can be written as polynomials in its one loop anomalous dimension. In the N=4 SYM theory the coefficients of these polynomials are rational functions of the number of colours N_c.

5.341671

4.583798

4.709117

4.779999

4.822139

4.756442

4.900575

4.618781

4.366766

5.036948

4.509463

4.575645

4.883878

4.530615

4.495444

4.635437

4.687876

4.525148

4.548574

4.961909

4.482229

2001.00555

James Halverson

James Halverson and Cody Long

Statistical Predictions in String Theory and Deep Generative Models

14 pages, 4 figures

null

10.1002/prop.202000005

null

hep-th

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

Generative models in deep learning allow for sampling probability distributions that approximate data distributions. We propose using generative models for making approximate statistical predictions in the string theory landscape. For vacua admitting a Lagrangian description this can be thought of as learning random tensor approximations of couplings. As a concrete proof-of-principle, we demonstrate in a large ensemble of Calabi-Yau manifolds that Kahler metrics evaluated at points in Kahler moduli space are well-approximated by ensembles of matrices produced by a deep convolutional Wasserstein GAN. Accurate approximations of the Kahler metric eigenspectra are achieved with far fewer than $h^{11}$ Gaussian draws. Accurate extrapolation to values of $h^{11}$ outside the training set are achieved via a conditional GAN. Together, these results implicitly suggest the existence of strong correlations in the data, as might be expected if Reid's fantasy is correct.

[ { "created": "Thu, 2 Jan 2020 18:38:21 GMT", "version": "v1" } ]

2020-06-24

[ [ "Halverson", "James", "" ], [ "Long", "Cody", "" ] ]

Generative models in deep learning allow for sampling probability distributions that approximate data distributions. We propose using generative models for making approximate statistical predictions in the string theory landscape. For vacua admitting a Lagrangian description this can be thought of as learning random tensor approximations of couplings. As a concrete proof-of-principle, we demonstrate in a large ensemble of Calabi-Yau manifolds that Kahler metrics evaluated at points in Kahler moduli space are well-approximated by ensembles of matrices produced by a deep convolutional Wasserstein GAN. Accurate approximations of the Kahler metric eigenspectra are achieved with far fewer than $h^{11}$ Gaussian draws. Accurate extrapolation to values of $h^{11}$ outside the training set are achieved via a conditional GAN. Together, these results implicitly suggest the existence of strong correlations in the data, as might be expected if Reid's fantasy is correct.

14.299832

15.012802

15.954521

12.409218

14.921827

14.334904

14.834778

14.00906

12.898264

17.591845

13.376841

12.623644

13.881266

12.870181

13.171676

13.190522

12.80612

13.464839

12.727735

13.920981

14.1631

1904.06485

Dibakar Roychowdhury

Lax pairs for string Newton Cartan geometry

Revised Version, Accepted for Publication In Nuclear Physics B

null

10.1016/j.nuclphysb.2020.114990

null

hep-th

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

In this paper, based on a systematic formulation of Lax pairs, we show \textit{classical} integrability for nonrelativistic strings propagating over \textit{stringy} Newton-Cartan (NC) geometry. We further construct the corresponding \textit{monodromy} matrix which leads to an infinite tower of \textit{non-local} conserved charges over stringy NC background.

[ { "created": "Sat, 13 Apr 2019 05:25:10 GMT", "version": "v1" }, { "created": "Sun, 8 Mar 2020 16:29:53 GMT", "version": "v2" } ]

2020-03-17

[ [ "Roychowdhury", "Dibakar", "" ] ]

In this paper, based on a systematic formulation of Lax pairs, we show \textit{classical} integrability for nonrelativistic strings propagating over \textit{stringy} Newton-Cartan (NC) geometry. We further construct the corresponding \textit{monodromy} matrix which leads to an infinite tower of \textit{non-local} conserved charges over stringy NC background.

7.839053

6.431298

7.266522

6.154877

6.464501

5.566483

5.743399

5.950101

6.06179

7.968904

6.04918

6.586935

7.594987

6.575963

6.626385

6.676253

6.345704

6.676166

6.71466

7.450852

6.671788

1608.06241

Scott Collier

Scott Collier, Ying-Hsuan Lin, Xi Yin

Modular Bootstrap Revisited

32 pages, 20 figures

null

hep-th cond-mat.str-el

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

We constrain the spectrum of two-dimensional unitary, compact conformal field theories with central charge c > 1 using modular bootstrap. Upper bounds on the gap in the dimension of primary operators of any spin, as well as in the dimension of scalar primaries, are computed numerically as functions of the central charge using semi-definite programming. Our bounds refine those of Hellerman and Friedan-Keller, and are in some cases saturated by known CFTs. In particular, we show that unitary CFTs with c < 8 must admit relevant deformations, and that a nontrivial bound on the gap of scalar primaries exists for c < 25. We also study bounds on the dimension gap in the presence of twist gaps, bounds on the degeneracy of operators, and demonstrate how "extremal spectra" which maximize the degeneracy at the gap can be determined numerically.

[ { "created": "Mon, 22 Aug 2016 17:55:30 GMT", "version": "v1" } ]

2016-08-23

[ [ "Collier", "Scott", "" ], [ "Lin", "Ying-Hsuan", "" ], [ "Yin", "Xi", "" ] ]

We constrain the spectrum of two-dimensional unitary, compact conformal field theories with central charge c > 1 using modular bootstrap. Upper bounds on the gap in the dimension of primary operators of any spin, as well as in the dimension of scalar primaries, are computed numerically as functions of the central charge using semi-definite programming. Our bounds refine those of Hellerman and Friedan-Keller, and are in some cases saturated by known CFTs. In particular, we show that unitary CFTs with c < 8 must admit relevant deformations, and that a nontrivial bound on the gap of scalar primaries exists for c < 25. We also study bounds on the dimension gap in the presence of twist gaps, bounds on the degeneracy of operators, and demonstrate how "extremal spectra" which maximize the degeneracy at the gap can be determined numerically.

7.229257

6.949029

8.837729

6.984511

7.835363

7.200968

7.623735

7.222123

7.2804

8.666652

6.781116

7.114861

7.87867

6.978412

7.485545

7.261453

7.304857

7.118057

7.14934

7.594269

7.012505

1609.07153

Andrew Fitzpatrick

A. Liam Fitzpatrick, Jared Kaplan

On the Late-Time Behavior of Virasoro Blocks and a Classification of Semiclassical Saddles

38+10 pages, 17 figures; v2: added refs, comments

null

10.1007/JHEP04(2017)072

null

hep-th

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

Recent work has demonstrated that black hole thermodynamics and information loss/restoration in AdS$_3$/CFT$_2$ can be derived almost entirely from the behavior of the Virasoro conformal blocks at large central charge, with relatively little dependence on the precise details of the CFT spectrum or OPE coefficients. Here, we elaborate on the non-perturbative behavior of Virasoro blocks by classifying all `saddles' that can contribute for arbitrary values of external and internal operator dimensions in the semiclassical large central charge limit. The leading saddles, which determine the naive semiclassical behavior of the Virasoro blocks, all decay exponentially at late times, and at a rate that is independent of internal operator dimensions. Consequently, the semiclassical contribution of high-energy states does not resolve a well-known version of the information loss problem in AdS$_3$. However, we identify two infinite classes of sub-leading saddles, and one of these classes does not decay at late times.

[ { "created": "Thu, 22 Sep 2016 20:11:35 GMT", "version": "v1" }, { "created": "Tue, 18 Oct 2016 12:16:21 GMT", "version": "v2" } ]

2017-05-24

[ [ "Fitzpatrick", "A. Liam", "" ], [ "Kaplan", "Jared", "" ] ]

Recent work has demonstrated that black hole thermodynamics and information loss/restoration in AdS$_3$/CFT$_2$ can be derived almost entirely from the behavior of the Virasoro conformal blocks at large central charge, with relatively little dependence on the precise details of the CFT spectrum or OPE coefficients. Here, we elaborate on the non-perturbative behavior of Virasoro blocks by classifying all `saddles' that can contribute for arbitrary values of external and internal operator dimensions in the semiclassical large central charge limit. The leading saddles, which determine the naive semiclassical behavior of the Virasoro blocks, all decay exponentially at late times, and at a rate that is independent of internal operator dimensions. Consequently, the semiclassical contribution of high-energy states does not resolve a well-known version of the information loss problem in AdS$_3$. However, we identify two infinite classes of sub-leading saddles, and one of these classes does not decay at late times.

7.872189

7.561906

8.070673

7.052163

7.325703

7.16818

7.506276

7.288194

7.151774

8.008055

7.121949

7.173573

7.433064

7.291105

6.957386

6.936364

7.275923

6.958683

7.270101

7.438515

7.046381

hep-th/9806247

Kechkin O. V.

Alfredo Herrera-Aguilar and Oleg Kechkin

Charging Symmetries and Linearizing Potentials for Einstein-Maxwell Dilaton-Axion Theory

10 pages in LaTex

Mod.Phys.Lett. A13 (1998) 1907-1914

10.1142/S0217732398002011

null

hep-th

null

We derive a set of complex potentials which linearize the action of charging symmetries of the stationary Einstein-Maxwell dilaton-axion theory.

[ { "created": "Tue, 30 Jun 1998 16:53:11 GMT", "version": "v1" } ]

2009-10-31

[ [ "Herrera-Aguilar", "Alfredo", "" ], [ "Kechkin", "Oleg", "" ] ]

We derive a set of complex potentials which linearize the action of charging symmetries of the stationary Einstein-Maxwell dilaton-axion theory.

25.738859

27.083546

22.089277

18.089144

16.698582

21.457949

17.837378

16.212318

21.070728

24.351404

19.173769

18.304775

20.585567

21.049532

19.937523

19.704548

19.366562

19.18548

19.2339

22.390471

19.690756

hep-th/0003236

Herman Verlinde

Chang S. Chan, Percy L. Paul and Herman Verlinde

A Note on Warped String Compactification

11 pages, 3 figures; v3 corrected spelling of Calabi

Nucl.Phys.B581:156-164,2000

10.1016/S0550-3213(00)00267-4

PUPT-1923

hep-th

null

We give a short review of a large class of warped string geometries, obtained via F-theory compactified on Calabi-Yau fourfolds, that upon reduction to 5 dimensions give consistent supersymmetric realizations of the RS compactification scenario.

[ { "created": "Sun, 26 Mar 2000 22:01:59 GMT", "version": "v1" }, { "created": "Tue, 28 Mar 2000 19:50:29 GMT", "version": "v2" } ]

2010-04-06

[ [ "Chan", "Chang S.", "" ], [ "Paul", "Percy L.", "" ], [ "Verlinde", "Herman", "" ] ]

We give a short review of a large class of warped string geometries, obtained via F-theory compactified on Calabi-Yau fourfolds, that upon reduction to 5 dimensions give consistent supersymmetric realizations of the RS compactification scenario.

14.890584

9.803921

13.69829

9.795243

10.043956

10.891411

10.993737

10.541042

10.370277

14.268913

10.82321

11.079114

11.708377

10.951159

11.181321

10.919765

11.074548

10.868941

10.671019

11.014474

10.797025

1707.08231

Stefan Janiszewski

Non-relativistic entanglement entropy from Horava gravity

20 pages, 7 figures

null

hep-th cond-mat.str-el

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

We propose an analogue of the Ryu-Takayanagi formula for holographic entanglement entropy applicable to non-relativistic holographic dualities involving Horava gravity. This is a powerful tool for the duality to have, as topological order quantified by entanglement entropy is a robust notion in condensed matter systems. Our derivation makes use of examining on-shell gravitational actions on conical spacetimes.

[ { "created": "Tue, 25 Jul 2017 21:40:26 GMT", "version": "v1" } ]

2017-07-27

[ [ "Janiszewski", "Stefan", "" ] ]

We propose an analogue of the Ryu-Takayanagi formula for holographic entanglement entropy applicable to non-relativistic holographic dualities involving Horava gravity. This is a powerful tool for the duality to have, as topological order quantified by entanglement entropy is a robust notion in condensed matter systems. Our derivation makes use of examining on-shell gravitational actions on conical spacetimes.

12.661763

11.955024

12.245513

12.628018

12.162507

12.334958

12.109794

13.557615

12.941565

15.526141

12.452044

11.990797

12.848461

12.17336

12.429335

12.508044

12.372912

12.540986

12.467035

12.61605

12.159688

hep-th/9311005

null

Alan Kostelecky and Malcolm Perry

Tachyon Hair for Two-Dimensional Black Holes

17 pages, 4 figures (not included), DAMTP-R93-16, IUHET 261 (Sept. 1993)

Phys.Lett.B322:48-58,1994

10.1016/0370-2693(94)90490-1

null

hep-th

null

Using a combination of analytical and numerical methods, we obtain a two-dimensional spacetime describing a black hole with tachyon hair. The physical ADM mass of the black hole is finite. The presence of tachyon hair increases the Hawking temperature.

[ { "created": "Mon, 1 Nov 1993 18:20:00 GMT", "version": "v1" } ]

2009-09-25

[ [ "Kostelecky", "Alan", "" ], [ "Perry", "Malcolm", "" ] ]

Using a combination of analytical and numerical methods, we obtain a two-dimensional spacetime describing a black hole with tachyon hair. The physical ADM mass of the black hole is finite. The presence of tachyon hair increases the Hawking temperature.

10.661302

7.756323

8.243135

7.621818

7.854806

7.397704

7.711443

7.891708

7.874058

8.036627

7.733692

8.999852

8.416597

8.290254

8.596987

9.00926

8.99914

8.257717

8.779415

8.359824

8.451713

2406.10170

Agustin Silva

Agust\'in Silva

Emergence of inflaton potential from asymptotically safe gravity

9 pages, 6 figures

null

hep-th gr-qc

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

The Asymptotic Safety Hypothesis for gravity relies on the existence of an interacting fixed point of the Wilsonian renormalization group flow, which controls the microscopic dynamics, and provides a UV completion of the theory. Connecting such UV completion to observable physics has become an active area of research in the last decades. In this work we show such connection within the framework of scalar-tensor models. More specifically, we found that cosmological inflation naturally emerges from the integration of the RG flow equations, and that the predicted parameters of the emergent effective potentials provide a slow-roll model of inflation compatible with current observations. Furthermore, the RG evolution of the effective action starting at the UV fixed point, provides a prediction for the initial value of the inflaton field.

[ { "created": "Fri, 14 Jun 2024 16:43:56 GMT", "version": "v1" } ]

2024-06-17

[ [ "Silva", "Agustín", "" ] ]

The Asymptotic Safety Hypothesis for gravity relies on the existence of an interacting fixed point of the Wilsonian renormalization group flow, which controls the microscopic dynamics, and provides a UV completion of the theory. Connecting such UV completion to observable physics has become an active area of research in the last decades. In this work we show such connection within the framework of scalar-tensor models. More specifically, we found that cosmological inflation naturally emerges from the integration of the RG flow equations, and that the predicted parameters of the emergent effective potentials provide a slow-roll model of inflation compatible with current observations. Furthermore, the RG evolution of the effective action starting at the UV fixed point, provides a prediction for the initial value of the inflaton field.

9.478783

9.45029

8.81198

8.466638

8.996782

9.257699

9.056525

8.234422

8.62511

9.719558

9.033821

8.676606

8.428763

8.583119

9.169634

8.845567

8.88259

8.688514

8.836524

8.652837

8.688572

2401.09946

Shao-Feng Wu

Zhuo-Fan Gu, Yu-Kun Yan, and Shao-Feng Wu

Neural ODEs for holographic transport models without translation symmetry

27 pages, 10 figures, 3 tables

null

hep-th cond-mat.dis-nn gr-qc

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

We investigate the data-driven holographic transport models without translation symmetry, focusing on the real part of frequency-dependent shear viscosity, $\eta_{\mathrm{re}}(\omega)$. We develop a radial flow equation of the shear response and establish its relation to $\eta _{\mathrm{re}}(\omega)$ for a wide class of holographic models. This allows us to determine $\eta _{\mathrm{re}}(\omega )$ of a strongly coupled field theory by the black hole metric and the graviton mass. The latter serves as the bulk dual to the translation symmetry breaking on the boundary. We convert the flow equation to a Neural Ordinary Differential Equation (Neural ODE), which is a neural network with continuous depth and produces output through a black-box ODE solver. Testing the Neural ODE on three well-known holographic models without translation symmetry, we demonstrate its ability to accurately learn either the metric or mass when given the other. Additionally, we illustrate that the learned metric can be used to predict the derivative of entanglement entropy $S$ with respect to the size of entangling region $l$.

[ { "created": "Thu, 18 Jan 2024 12:50:16 GMT", "version": "v1" }, { "created": "Tue, 18 Jun 2024 14:33:46 GMT", "version": "v2" }, { "created": "Thu, 15 Aug 2024 08:41:35 GMT", "version": "v3" } ]

2024-08-16

[ [ "Gu", "Zhuo-Fan", "" ], [ "Yan", "Yu-Kun", "" ], [ "Wu", "Shao-Feng", "" ] ]

We investigate the data-driven holographic transport models without translation symmetry, focusing on the real part of frequency-dependent shear viscosity, $\eta_{\mathrm{re}}(\omega)$. We develop a radial flow equation of the shear response and establish its relation to $\eta _{\mathrm{re}}(\omega)$ for a wide class of holographic models. This allows us to determine $\eta _{\mathrm{re}}(\omega )$ of a strongly coupled field theory by the black hole metric and the graviton mass. The latter serves as the bulk dual to the translation symmetry breaking on the boundary. We convert the flow equation to a Neural Ordinary Differential Equation (Neural ODE), which is a neural network with continuous depth and produces output through a black-box ODE solver. Testing the Neural ODE on three well-known holographic models without translation symmetry, we demonstrate its ability to accurately learn either the metric or mass when given the other. Additionally, we illustrate that the learned metric can be used to predict the derivative of entanglement entropy $S$ with respect to the size of entangling region $l$.

8.454786

8.533315

9.785262

8.701742

8.349338

8.009917

9.192528

8.060921

8.599951

9.452889

7.651959

8.441189

8.630046

8.464163

8.26742

8.280365

8.25319

8.369281

8.359023

8.582944

8.168698

1309.7741

Euro Spallucci

Antonio Aurilia, Euro Spallucci

Why the length of a quantum string cannot be Lorentz contracted

14 pages, no figures. Accepted for publication in Adv. High En. Phys., Special Issue : "Experimental Tests of Quantum Gravity and Exotic Quantum Field Theory Effects"

null

hep-th gr-qc hep-ph

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

We propose a quantum gravity-extended form of the classical length contraction law obtained in Special Relativity. More specifically, the framework of our discussion is the UV self-complete theory of quantum gravity. Against this background, we show how our results are consistent with, i) the generalised form of the Uncertainty Principle (GUP), ii) the so called hoop-conjecture which we interpret, presently, as the saturation of a Lorentz boost by the formation of a black hole in a two-body scattering, and iii) the intriguing notion of "classicalization" of trans-Planckian physics. Pushing these ideas to their logical conclusion, we argue that there is a physical limit to the Lorentz contraction rule in the form of some minimal universal length determined by quantum gravity, say the Planck Length, or any of its current embodiments such as the string length, or the TeV quantum gravity length scale. In the latter case, we determine the \emph{critical boost} that separates the ordinary "particle phase," characterized by the Compton wavelength, from the "black hole phase", characterized by the effective Schwarzschild radius of the colliding system. Finally, with the "classicalization" of quantum gravity in mind, we comment on the remarkable identity, to our knowledge never noticed before, between three seemingly independent universal quantities, namely, a) the "string tension", b) the "linear energy density," or \emph{tension} that exists at the core of all Schwarzschild black holes, and c) the "superforce" i.e., the Planckian limit of the static electro-gravitational force and, presumably, the unification point of all fundamental forces.

[ { "created": "Mon, 30 Sep 2013 07:24:34 GMT", "version": "v1" } ]

2013-10-01

[ [ "Aurilia", "Antonio", "" ], [ "Spallucci", "Euro", "" ] ]

We propose a quantum gravity-extended form of the classical length contraction law obtained in Special Relativity. More specifically, the framework of our discussion is the UV self-complete theory of quantum gravity. Against this background, we show how our results are consistent with, i) the generalised form of the Uncertainty Principle (GUP), ii) the so called hoop-conjecture which we interpret, presently, as the saturation of a Lorentz boost by the formation of a black hole in a two-body scattering, and iii) the intriguing notion of "classicalization" of trans-Planckian physics. Pushing these ideas to their logical conclusion, we argue that there is a physical limit to the Lorentz contraction rule in the form of some minimal universal length determined by quantum gravity, say the Planck Length, or any of its current embodiments such as the string length, or the TeV quantum gravity length scale. In the latter case, we determine the \emph{critical boost} that separates the ordinary "particle phase," characterized by the Compton wavelength, from the "black hole phase", characterized by the effective Schwarzschild radius of the colliding system. Finally, with the "classicalization" of quantum gravity in mind, we comment on the remarkable identity, to our knowledge never noticed before, between three seemingly independent universal quantities, namely, a) the "string tension", b) the "linear energy density," or \emph{tension} that exists at the core of all Schwarzschild black holes, and c) the "superforce" i.e., the Planckian limit of the static electro-gravitational force and, presumably, the unification point of all fundamental forces.

10.375628

11.232489

10.548162

10.780629

11.327044

10.941133

11.278409

10.775541

10.831344

10.999232

10.900187

10.376465

10.53464

10.461163

10.462617

10.516903

10.136262

10.360177

10.314361

10.690132

10.602795

hep-th/9503211

Henrik Aratyn

H. Aratyn

Integrable Lax Hierarchies, their Symmetry Reductions and Multi-Matrix Models

52 pages, LaTeX. Lectures presented at the VIII J.A. Swieca Summer School, Section: Particles and Fields, Rio de Janeiro - Brasil - February/95. Corrected version

null

UICHEP-TH/95-1

hep-th

null

Some new developments in constrained Lax integrable systems and their applications to physics are reviewed. After summarizing the tau function construction of the KP hierarchy and the basic concepts of the symmetry of nonlinear equations, more recent ideas dealing with constrained KP models are described. A unifying approach to constrained KP hierarchy based on graded $SL(r+n,n)$ algebra is presented and equivalence formulas are obtained for various pseudo-differential Lax operators appearing in this context. It is then shown how the Toda lattice structure emerges from constrained KP models via canonical Darboux-B\"{a}cklund transformations. These transformations enable us to find simple Wronskian solutions for the underlying tau-functions. We also establish a relation between two-matrix models and constrained Toda lattice systems and derive from this relation expressions for the corresponding partition function.

[ { "created": "Wed, 29 Mar 1995 22:37:45 GMT", "version": "v1" }, { "created": "Fri, 15 Sep 1995 23:35:23 GMT", "version": "v2" } ]

2008-02-03

[ [ "Aratyn", "H.", "" ] ]

Some new developments in constrained Lax integrable systems and their applications to physics are reviewed. After summarizing the tau function construction of the KP hierarchy and the basic concepts of the symmetry of nonlinear equations, more recent ideas dealing with constrained KP models are described. A unifying approach to constrained KP hierarchy based on graded $SL(r+n,n)$ algebra is presented and equivalence formulas are obtained for various pseudo-differential Lax operators appearing in this context. It is then shown how the Toda lattice structure emerges from constrained KP models via canonical Darboux-B\"{a}cklund transformations. These transformations enable us to find simple Wronskian solutions for the underlying tau-functions. We also establish a relation between two-matrix models and constrained Toda lattice systems and derive from this relation expressions for the corresponding partition function.

14.686385

14.592994

17.730343

14.08467

16.229679

15.741288

14.10405

15.053665

13.753055

18.83449

13.831689

13.814102

14.283895

13.016179

13.512446

12.720551

12.99336

13.595393

13.261188

14.990952

13.423677

1307.7397

Ali Mollabashi

M.Reza Mohammadi Mozaffar, Ali Mollabashi (IPM, Tehran)

Crystalline Geometries from Fermionic Vortex Lattice

17 pages, 5 figures. v2: typos corrected + some clarifications, a reference added

Phys. Rev. D 89, 046007 (2014)

10.1103/PhysRevD.89.046007

null

hep-th

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

We study charged Dirac fermions on an AdS$_2\times R^2$ background with a non-zero magnetic field. Under certain boundary conditions, we show that the charged fermion can make the background unstable, resulting in spontaneously formation of a vortex lattice. We observe that an electric field emerges in the back-reacted solution due to the vortex lattice constructed from spin polarized fermions. This electric field may be extended to the UV boundary which leads to a finite charge density. We also discuss corrections to the thermodynamic functions due to the lattice formation.

[ { "created": "Sun, 28 Jul 2013 19:51:01 GMT", "version": "v1" }, { "created": "Thu, 8 Aug 2013 08:35:02 GMT", "version": "v2" } ]

2014-02-26

[ [ "Mozaffar", "M. Reza Mohammadi", "", "IPM, Tehran" ], [ "Mollabashi", "Ali", "", "IPM, Tehran" ] ]

We study charged Dirac fermions on an AdS$_2\times R^2$ background with a non-zero magnetic field. Under certain boundary conditions, we show that the charged fermion can make the background unstable, resulting in spontaneously formation of a vortex lattice. We observe that an electric field emerges in the back-reacted solution due to the vortex lattice constructed from spin polarized fermions. This electric field may be extended to the UV boundary which leads to a finite charge density. We also discuss corrections to the thermodynamic functions due to the lattice formation.

11.673176

11.31267

10.202891

10.330945

10.081438

10.846718

10.808208

10.101595

9.960391

11.198303

10.028486

10.557106

10.321198

9.936404

10.321793

10.603487

10.549741

10.570548

10.30903

10.507992

10.317755

0707.4334

Zong-Kuan Guo

Kazuharu Bamba, Zong-Kuan Guo, Nobuyoshi Ohta

Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with Dilaton

18 pages, 10 figures, PTPTeX, accepted for publication in PTP

Prog.Theor.Phys.118:879-892,2007

10.1143/PTP.118.879

KU-TP 014

hep-th astro-ph gr-qc

null

We study cosmological solutions in the low-energy effective heterotic string theory, which is the Einstein gravity with Gauss-Bonnet term and the dilaton. We show that the field equations are cast into an autonomous system for flat internal and external spaces, and derive all the fixed points in the system. We also examine the time evolution of the solutions and whether the solutions can give (transient) accelerated expansion of our four-dimensional space in the Einstein frame.

[ { "created": "Mon, 30 Jul 2007 13:27:56 GMT", "version": "v1" }, { "created": "Thu, 2 Aug 2007 02:07:24 GMT", "version": "v2" }, { "created": "Fri, 28 Sep 2007 08:48:25 GMT", "version": "v3" } ]

2008-11-26

[ [ "Bamba", "Kazuharu", "" ], [ "Guo", "Zong-Kuan", "" ], [ "Ohta", "Nobuyoshi", "" ] ]

We study cosmological solutions in the low-energy effective heterotic string theory, which is the Einstein gravity with Gauss-Bonnet term and the dilaton. We show that the field equations are cast into an autonomous system for flat internal and external spaces, and derive all the fixed points in the system. We also examine the time evolution of the solutions and whether the solutions can give (transient) accelerated expansion of our four-dimensional space in the Einstein frame.

10.168854

9.211037

9.298487

8.96577

9.539169

9.151808

9.313595

8.302036

9.605916

9.511699

9.367362

9.211962

9.236809

8.975351

9.323463

9.060294

9.388412

9.062994

9.654043

9.443393

9.426126

2307.01099

Hendrik van Zyl

Jeff Murugan, Ruach Pillay Slayen, Hendrik J.R. Van Zyl

A Study of the SYK$_{2}$ Model with Twisted Boundary Conditions

25+3 pages and appendices; v2: Replaced figures which did not compile correctly; v3: Several edits to more accurately represent the model of interest

null

hep-th cond-mat.str-el

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

We study a version of the 2-body Sachdev-Ye-Kitaev (SYK$_{2}$) model whose complex fermions exhibit twisted boundary conditions on the thermal circle. As we show, this is physically equivalent to coupling the fermions to a 1-dimensional external gauge field $A(t)$. In the latter formulation, the gauge field itself can be thought of as arising from a radial symmetry reduction of a $(2+1)$-dimensional Chern-Simons gauge field $A_{\mu}(t,\mathbf{x})$. Using the diagnostic tools of the out-of-time-order correlator (OTOC) and spectral form factor (SFF), which probe the sensitivity to initial conditions and the spectral statistics respectively, we give a detailed and pedagogical study of the integrable/chaotic properties of the model. We find that the twisting has no effect on the OTOCs and, by extension, the early-time chaos properties of the model. It does, however, have two notable effects on the spectral form factor; an enhancement of the early-time slope and the emergence of an explicit disorder scale needed for the manifestation of zero modes. These zero modes are responsible for the late-time exponential ramp in the quadratic SYK model.

[ { "created": "Mon, 3 Jul 2023 15:22:51 GMT", "version": "v1" }, { "created": "Tue, 4 Jul 2023 08:56:00 GMT", "version": "v2" }, { "created": "Wed, 24 Jan 2024 14:11:21 GMT", "version": "v3" } ]

2024-01-25

[ [ "Murugan", "Jeff", "" ], [ "Slayen", "Ruach Pillay", "" ], [ "Van Zyl", "Hendrik J. R.", "" ] ]

We study a version of the 2-body Sachdev-Ye-Kitaev (SYK$_{2}$) model whose complex fermions exhibit twisted boundary conditions on the thermal circle. As we show, this is physically equivalent to coupling the fermions to a 1-dimensional external gauge field $A(t)$. In the latter formulation, the gauge field itself can be thought of as arising from a radial symmetry reduction of a $(2+1)$-dimensional Chern-Simons gauge field $A_{\mu}(t,\mathbf{x})$. Using the diagnostic tools of the out-of-time-order correlator (OTOC) and spectral form factor (SFF), which probe the sensitivity to initial conditions and the spectral statistics respectively, we give a detailed and pedagogical study of the integrable/chaotic properties of the model. We find that the twisting has no effect on the OTOCs and, by extension, the early-time chaos properties of the model. It does, however, have two notable effects on the spectral form factor; an enhancement of the early-time slope and the emergence of an explicit disorder scale needed for the manifestation of zero modes. These zero modes are responsible for the late-time exponential ramp in the quadratic SYK model.

8.24062

8.202098

9.16183

7.99788

8.315793

7.744386

7.616106

7.682044

8.058375

10.196676

7.52455

7.378776

8.108136

7.934412

7.970397

7.655623

7.994284

7.926693

8.146783

8.187643

7.579528

hep-th/0212294

B. S. Acharya

Bobby S Acharya

A Moduli Fixing Mechanism in M theory

28 Pages; corrections in section four; references added

null

RUNHETC-2002-52

hep-th

null

We study M theory compactifications on manifolds of $G_2$-holonomy with gauge and matter fields supported at singularities. We show that, under certain topological conditions, the combination of background $G$-flux and background fields at the singularities induces a potential for the moduli with an isolated minimum. The theory in the minimum is supersymmetric and has a negative cosmological constant in the simplest case. In a more realistic scenario, we find that the fundamental scale is around 10 Tev and the heirarchy between the four dimensional Planck and electroweak scales may be explained by the value of a topological invariant. Hyperbolic three-manifolds enter the discussion in an interesting way.

[ { "created": "Mon, 23 Dec 2002 21:45:01 GMT", "version": "v1" }, { "created": "Fri, 3 Jan 2003 16:50:37 GMT", "version": "v2" } ]

2007-05-23

[ [ "Acharya", "Bobby S", "" ] ]

We study M theory compactifications on manifolds of $G_2$-holonomy with gauge and matter fields supported at singularities. We show that, under certain topological conditions, the combination of background $G$-flux and background fields at the singularities induces a potential for the moduli with an isolated minimum. The theory in the minimum is supersymmetric and has a negative cosmological constant in the simplest case. In a more realistic scenario, we find that the fundamental scale is around 10 Tev and the heirarchy between the four dimensional Planck and electroweak scales may be explained by the value of a topological invariant. Hyperbolic three-manifolds enter the discussion in an interesting way.

8.218674

6.973929

8.628273

7.539784

8.204533

7.787158

8.027755

7.691766

7.409431

9.721107

7.323223

7.594381

8.525657

8.152396

8.142435

8.028761

7.948619

8.047249

7.834078

8.542016

7.541433

2109.10866

Mario Rocca

Mir Hameeda and M. C. Rocca

Coherent and cat states of open and closed strings

null

hep-th

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

The covariant quantization and light cone quantization formalisms are followed to construct the coherent states of both open and closed bosonic strings. We make a systematic and straightforward use of the original definition of coherent states of harmonic oscillators to establish the coherent and their corresponding cat states. We analyze the statistics of these states by explicitly calculating the Mandel parameter and obtained interesting results about the nature of distribution of the states. A tachyonic state with imaginary mass and the positive norm is obtained.

[ { "created": "Thu, 12 Aug 2021 21:18:40 GMT", "version": "v1" } ]

2021-09-23

[ [ "Hameeda", "Mir", "" ], [ "Rocca", "M. C.", "" ] ]

The covariant quantization and light cone quantization formalisms are followed to construct the coherent states of both open and closed bosonic strings. We make a systematic and straightforward use of the original definition of coherent states of harmonic oscillators to establish the coherent and their corresponding cat states. We analyze the statistics of these states by explicitly calculating the Mandel parameter and obtained interesting results about the nature of distribution of the states. A tachyonic state with imaginary mass and the positive norm is obtained.

14.642462

13.457514

17.276161

13.734062

14.260101

13.07708

13.656074

13.139639

13.25472

16.498329

14.066938

13.962418

15.143618

14.190434

14.302673

14.398808

13.867036

13.968604

13.722135

15.295845

14.458121

hep-th/9712230

Jaime Gomis

Duiliu-Emanuel Diaconescu, Michael R. Douglas and Jaume Gomis

Fractional Branes and Wrapped Branes

harvmac, 9 pages

JHEP 9802:013,1998

10.1088/1126-6708/1998/02/013

RU-97-104

hep-th

null

We discuss the ``fractional D-branes'' which arise in orbifold resolution. We argue that they arise as subsectors of the Coulomb branch of the quiver gauge theory used to describe both string theory D-brane and Matrix theory on an orbifold, and thus must form part of the full physical Hilbert space. We make further observations confirming their interpretation as wrapped membranes.

[ { "created": "Wed, 24 Dec 1997 15:12:09 GMT", "version": "v1" } ]

2010-02-03

[ [ "Diaconescu", "Duiliu-Emanuel", "" ], [ "Douglas", "Michael R.", "" ], [ "Gomis", "Jaume", "" ] ]

We discuss the ``fractional D-branes'' which arise in orbifold resolution. We argue that they arise as subsectors of the Coulomb branch of the quiver gauge theory used to describe both string theory D-brane and Matrix theory on an orbifold, and thus must form part of the full physical Hilbert space. We make further observations confirming their interpretation as wrapped membranes.

18.015516

15.808042

18.642727

14.986979

16.588404

18.265322

15.876986

15.539606

16.678471

22.030319

14.946541

15.289826

17.28293

15.025668

15.517037

15.197289

15.152699

14.91715

15.446217

16.811665

15.201688

2005.10833

Lento Nagano

Kanato Goto, Lento Nagano, Tatsuma Nishioka, Takuya Okuda

Janus interface entropy and Calabi's diastasis in four-dimensional $\mathcal{N}=2$ superconformal field theories

41 pages, 1 figure; v2: minor typos corrected, preprint number added

null

10.1007/JHEP08(2020)048

RIKEN-iTHEMS-Report-20, UT-Komaba-20-1

hep-th

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

We study the entropy associated with the Janus interface in a 4$d$ $\mathcal{N}=2$ superconformal field theory. With the entropy defined as the interface contribution to an entanglement entropy we show, under mild assumptions, that the Janus interface entropy is proportional to the geometric quantity called Calabi's diastasis on the space of $\mathcal{N}=2$ marginal couplings, confirming an earlier conjecture by two of the authors and generalizing a similar result in two dimensions. Our method is based on a CFT consideration that makes use of the Casini-Huerta-Myers conformal map from the flat space to the round sphere.

[ { "created": "Thu, 21 May 2020 18:00:01 GMT", "version": "v1" }, { "created": "Wed, 19 Aug 2020 09:48:43 GMT", "version": "v2" } ]

2020-08-26

[ [ "Goto", "Kanato", "" ], [ "Nagano", "Lento", "" ], [ "Nishioka", "Tatsuma", "" ], [ "Okuda", "Takuya", "" ] ]

We study the entropy associated with the Janus interface in a 4$d$ $\mathcal{N}=2$ superconformal field theory. With the entropy defined as the interface contribution to an entanglement entropy we show, under mild assumptions, that the Janus interface entropy is proportional to the geometric quantity called Calabi's diastasis on the space of $\mathcal{N}=2$ marginal couplings, confirming an earlier conjecture by two of the authors and generalizing a similar result in two dimensions. Our method is based on a CFT consideration that makes use of the Casini-Huerta-Myers conformal map from the flat space to the round sphere.

8.131454

7.162137

9.426763

6.955386

7.959226

7.02858

7.473852

6.71373

7.392779

11.007751

6.780975

7.358307

8.177628

7.052019

7.46308

7.639158

7.250823

7.071727

7.298163

8.030712

7.499479

hep-th/9404149

Ori Ganor

O. Ganor, J. Sonnenschein and S. Yankielowicz

Folds in 2D String Theories

56 pages, latex, followed by epsf, 13 uuencoded epsf figures

Nucl.Phys. B427 (1994) 203-244

10.1016/0550-3213(94)90275-5

TAUP-2152-94

hep-th

null

We study maps from a 2D world-sheet to a 2D target space which include folds. The geometry of folds is discussed and a metric on the space of folded maps is written down. We show that the latter is not invariant under area preserving diffeomorphisms of the target space. The contribution to the partition function of maps associated with a given fold configuration is computed. We derive a description of folds in terms of Feynman diagrams. A scheme to sum up the contributions of folds to the partition function in a special case is suggested and is shown to be related to the Baxter-Wu lattice model. An interpretation of folds as trajectories of particles in the adjoint representation of $SU(N)$ gauge group in the large $N$ limit which interact in an unusual way with the gauge fields is discussed.

[ { "created": "Sun, 24 Apr 1994 11:49:18 GMT", "version": "v1" } ]

2019-08-15

[ [ "Ganor", "O.", "" ], [ "Sonnenschein", "J.", "" ], [ "Yankielowicz", "S.", "" ] ]

We study maps from a 2D world-sheet to a 2D target space which include folds. The geometry of folds is discussed and a metric on the space of folded maps is written down. We show that the latter is not invariant under area preserving diffeomorphisms of the target space. The contribution to the partition function of maps associated with a given fold configuration is computed. We derive a description of folds in terms of Feynman diagrams. A scheme to sum up the contributions of folds to the partition function in a special case is suggested and is shown to be related to the Baxter-Wu lattice model. An interpretation of folds as trajectories of particles in the adjoint representation of $SU(N)$ gauge group in the large $N$ limit which interact in an unusual way with the gauge fields is discussed.

8.275054

7.509754

8.088078

7.459619

7.699869

7.080759

7.239085

7.403022

7.514242

8.131534

7.482238

7.573779

7.804769

7.486828

7.741794

7.870524

8.059667

7.650023

7.47129

7.97578

7.452206

2004.13057

Peter Lowdon

C\'edric Lorc\'e, Peter Lowdon

Analytic constraints on the energy-momentum tensor in conformal field theories

20 pages; v3: additional results added regarding massless free theories, matches published version

Phys. Rev. D 102, 125013 (2020)

10.1103/PhysRevD.102.125013

null

hep-th gr-qc hep-ph

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

In this work we investigate the matrix elements of the energy-momentum tensor for massless on-shell states in four-dimensional unitary, local, and Poincar\'e covariant quantum field theories. We demonstrate that these matrix elements can be parametrised in terms of covariant multipoles of the Lorentz generators, and that this gives rise to a form factor decomposition in which the helicity dependence of the states is factorised. Using this decomposition we go on to explore some of the consequences for conformal field theories, deriving the explicit analytic conditions imposed by conformal symmetry, and using examples to illustrate that they uniquely fix the form of the matrix elements. We also provide new insights into the constraints imposed by the existence of massless particles, showing in particular that massless free theories are necessarily conformal.

[ { "created": "Mon, 27 Apr 2020 18:00:22 GMT", "version": "v1" }, { "created": "Tue, 19 May 2020 08:21:41 GMT", "version": "v2" }, { "created": "Wed, 9 Dec 2020 08:34:57 GMT", "version": "v3" } ]

2020-12-10

[ [ "Lorcé", "Cédric", "" ], [ "Lowdon", "Peter", "" ] ]

In this work we investigate the matrix elements of the energy-momentum tensor for massless on-shell states in four-dimensional unitary, local, and Poincar\'e covariant quantum field theories. We demonstrate that these matrix elements can be parametrised in terms of covariant multipoles of the Lorentz generators, and that this gives rise to a form factor decomposition in which the helicity dependence of the states is factorised. Using this decomposition we go on to explore some of the consequences for conformal field theories, deriving the explicit analytic conditions imposed by conformal symmetry, and using examples to illustrate that they uniquely fix the form of the matrix elements. We also provide new insights into the constraints imposed by the existence of massless particles, showing in particular that massless free theories are necessarily conformal.

7.822631

8.190919

7.879041

7.281737

8.071966

8.514726

8.291912

7.407506

7.68687

8.637186

7.493044

7.674767

7.305948

7.238691

7.607731

7.698043

7.261373

7.309228

7.276607

7.559557

7.470722

2401.06099

Bruno Fernandes

Carlos Bercini, Bruno Fernandes, Vasco Gon\c{c}alves

Two loop five point integrals: light, heavy and large spin correlators

34 pages, 2 figures, 6 auxiliary files

null

hep-th

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

We evaluated all two loop conformal integrals appearing in five point correlation functions of protected operators of $\mathcal{N} = 4$ Super Yang-Mills in several kinematical regimes. Starting from the correlation function of the lightest operators of the theory, we were able to extract structure constants of up to two spinning operators for small and large values of polarizations and spin. We conjectured an universal all loop behaviour for the large spin small polarization structure constants and comment on the subtleties of analytically continuing it from finite to large spin. We also consider correlation functions of heavier operators that get factorized in the more fundamental object called decagon. We fixed this object at two loops in general kinematics and studied its physical properties under OPE and null limits.

[ { "created": "Thu, 11 Jan 2024 18:28:17 GMT", "version": "v1" } ]

2024-01-12

[ [ "Bercini", "Carlos", "" ], [ "Fernandes", "Bruno", "" ], [ "Gonçalves", "Vasco", "" ] ]

We evaluated all two loop conformal integrals appearing in five point correlation functions of protected operators of $\mathcal{N} = 4$ Super Yang-Mills in several kinematical regimes. Starting from the correlation function of the lightest operators of the theory, we were able to extract structure constants of up to two spinning operators for small and large values of polarizations and spin. We conjectured an universal all loop behaviour for the large spin small polarization structure constants and comment on the subtleties of analytically continuing it from finite to large spin. We also consider correlation functions of heavier operators that get factorized in the more fundamental object called decagon. We fixed this object at two loops in general kinematics and studied its physical properties under OPE and null limits.

17.46435

15.239929

18.315592

14.662779

15.438636

13.601291

14.297834

14.84786

13.366576

19.351057

14.738953

15.153548

17.201309

15.030548

15.245286

14.98988

16.387476

14.603958

14.962325

16.590353

14.896692

hep-th/9909148

Mohab Abou-Zeid

Mohab Abou-Zeid and Miguel S. Costa

Radiation from Accelerated Branes

LaTeX, 25 pages, 2 figures; v2: added comments on the validity of the linear approximation, minor changes; version to appear in Physical Review D

Phys.Rev. D61 (2000) 106007

10.1103/PhysRevD.61.106007

AEI-1999-16, PUPT-1843

hep-th

null

The radiation emitted by accelerated fundamental strings and D-branes is studied within the linear approximation to the supergravity limit of string theory. We show that scalar, gauge field and gravitational radiation is generically emitted by such branes. In the case where an external scalar field accelerates the branes, we derive a Larmor-type formula for the emitted scalar radiation and study the angular distribution of the outgoing energy flux. The classical radii of the branes are calculated by means of the corresponding Thompson scattering cross sections. Within the linear approximation, the interaction of the external scalar field with the velocity fields of the branes gives a contribution to the observed gauge field and gravitational radiation.

[ { "created": "Tue, 21 Sep 1999 16:45:32 GMT", "version": "v1" }, { "created": "Sat, 29 Jan 2000 17:36:25 GMT", "version": "v2" } ]

2009-10-31

[ [ "Abou-Zeid", "Mohab", "" ], [ "Costa", "Miguel S.", "" ] ]

The radiation emitted by accelerated fundamental strings and D-branes is studied within the linear approximation to the supergravity limit of string theory. We show that scalar, gauge field and gravitational radiation is generically emitted by such branes. In the case where an external scalar field accelerates the branes, we derive a Larmor-type formula for the emitted scalar radiation and study the angular distribution of the outgoing energy flux. The classical radii of the branes are calculated by means of the corresponding Thompson scattering cross sections. Within the linear approximation, the interaction of the external scalar field with the velocity fields of the branes gives a contribution to the observed gauge field and gravitational radiation.

9.493546

9.293611

9.487741

8.292356

9.204947

8.328904

9.11563

8.919071

8.502258

9.677773

8.773709

8.677361

8.579561

8.773936

8.888779

8.814676

8.694266

8.652288

8.826359

8.600924

8.534609

hep-th/0010186

Deffayet

Cedric Deffayet (New York University)

Cosmology on a Brane in Minkowski Bulk

16 pages, minor changes and comments added

Phys.Lett.B502:199-208,2001

10.1016/S0370-2693(01)00160-5

NYU-TH 00/10/07

hep-th

null

We discuss the cosmology of a 3-brane embedded in a 5D bulk space-time with a cosmological constant when an intrinsic curvature Ricci scalar is included in the brane action. After deriving the `brane-Friedmann' equations for a Z_2 symmetrical metric, we focus on the case of a Minkowski bulk. We show that there exist two classes of solutions, close to the usual Friedmann-Lemaitre-Robertson-Walker cosmology for small enough Hubble radii. When the Hubble radius gets larger one either has a transition to a fully 5D regime or to a self-inflationary solution which produces a late accelerated expansion. We also compare our results with a perturbative approach and eventually discuss the embedding of the brane into the Minkowski space-time. This latter part of our discussion also applies when no intrinsic curvature term is included.

[ { "created": "Mon, 23 Oct 2000 22:34:39 GMT", "version": "v1" }, { "created": "Tue, 7 Nov 2000 20:51:36 GMT", "version": "v2" } ]

2008-11-26

[ [ "Deffayet", "Cedric", "", "New York University" ] ]

We discuss the cosmology of a 3-brane embedded in a 5D bulk space-time with a cosmological constant when an intrinsic curvature Ricci scalar is included in the brane action. After deriving the `brane-Friedmann' equations for a Z_2 symmetrical metric, we focus on the case of a Minkowski bulk. We show that there exist two classes of solutions, close to the usual Friedmann-Lemaitre-Robertson-Walker cosmology for small enough Hubble radii. When the Hubble radius gets larger one either has a transition to a fully 5D regime or to a self-inflationary solution which produces a late accelerated expansion. We also compare our results with a perturbative approach and eventually discuss the embedding of the brane into the Minkowski space-time. This latter part of our discussion also applies when no intrinsic curvature term is included.

7.459182

7.882124

7.343103

6.948704

8.325972

7.522843

8.203154

6.931927

6.991393

8.024587

7.307031

7.183144

7.270459

7.051314

7.382498

7.302393

7.176494

7.253721

7.123445

7.213336

7.336342

0906.4294

Radu Roiban

R. Roiban, A.A. Tseytlin

Quantum strings in AdS_5 x S^5: strong-coupling corrections to dimension of Konishi operator

33 pages, Latex v2: minor comments added, misprints corrected v3: misprint corrected v4: misprints corrected

JHEP 0911:013,2009

10.1088/1126-6708/2009/11/013

IMPERIAL-TP-AT-2009-3

hep-th

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

We consider leading strong coupling corrections to the energy of the lightest massive string modes in AdS_5 x S^5, which should be dual to members of the Konishi operator multiplet in N=4 SYM theory. This determines the general structure of the strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for several semiclassical string states to extract information about the leading coefficients in this expansion. Our prediction is Delta= 2 lambda^{1/4} + b_0 + b_1 lambda^{-1/4} + b_3 lambda^{-3/4} +..., where b_0 and b_1 are rational while b_3 is transcendental containing zeta(3). Explicitly, we argue that b_0= Delta_0 - 4 (where Delta_0 is the canonical dimension of the corresponding gauge-theory operator in the Konishi multiplet) and b_1=1. Our conclusions are sensitive to few assumptions, implied by a correspondence with flat-space expressions, on how to translate semiclassical quantization results into predictions for the exact quantum string spectrum.

[ { "created": "Tue, 23 Jun 2009 17:20:51 GMT", "version": "v1" }, { "created": "Fri, 4 Sep 2009 16:19:21 GMT", "version": "v2" }, { "created": "Thu, 19 Aug 2010 21:21:51 GMT", "version": "v3" }, { "created": "Sun, 16 Oct 2011 18:36:00 GMT", "version": "v4" } ]

2011-10-18

[ [ "Roiban", "R.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We consider leading strong coupling corrections to the energy of the lightest massive string modes in AdS_5 x S^5, which should be dual to members of the Konishi operator multiplet in N=4 SYM theory. This determines the general structure of the strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for several semiclassical string states to extract information about the leading coefficients in this expansion. Our prediction is Delta= 2 lambda^{1/4} + b_0 + b_1 lambda^{-1/4} + b_3 lambda^{-3/4} +..., where b_0 and b_1 are rational while b_3 is transcendental containing zeta(3). Explicitly, we argue that b_0= Delta_0 - 4 (where Delta_0 is the canonical dimension of the corresponding gauge-theory operator in the Konishi multiplet) and b_1=1. Our conclusions are sensitive to few assumptions, implied by a correspondence with flat-space expressions, on how to translate semiclassical quantization results into predictions for the exact quantum string spectrum.

7.517846

7.162159

8.927505

6.998652

7.968769

7.238492

7.622967

7.141449

7.246277

9.491519

7.025822

7.325533

7.851385

7.276602

7.456991

7.32831

7.201406

7.394825

7.060914

8.256689

7.157142

1506.02329

Vladislav Kupriyanov

V. G. Kupriyanov and D. V. Vassilevich

Nonassociative Weyl star products

discussion extended, tipos corrected, published version

JHEP09(2015)103

10.1007/JHEP09(2015)103

null

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

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

Deformation quantization is a formal deformation of the algebra of smooth functions on some manifold. In the classical setting, the Poisson bracket serves as an initial conditions, while the associativity allows to proceed to higher orders. Some applications to string theory require deformation in the direction of a quasi-Poisson bracket (that does not satisfy the Jacobi identity). This initial condition is incompatible with associativity, it is quite unclear which restrictions can be imposed on the deformation. We show that for any quasi-Poisson bracket the deformation quantization exists and is essentially unique if one requires (weak) hermiticity and the Weyl condition. We also propose an iterative procedure that allows to compute the star product up to any desired order.

[ { "created": "Mon, 8 Jun 2015 00:37:13 GMT", "version": "v1" }, { "created": "Wed, 10 Jun 2015 20:33:38 GMT", "version": "v2" }, { "created": "Sat, 19 Sep 2015 10:14:16 GMT", "version": "v3" } ]

2015-09-22

[ [ "Kupriyanov", "V. G.", "" ], [ "Vassilevich", "D. V.", "" ] ]

Deformation quantization is a formal deformation of the algebra of smooth functions on some manifold. In the classical setting, the Poisson bracket serves as an initial conditions, while the associativity allows to proceed to higher orders. Some applications to string theory require deformation in the direction of a quasi-Poisson bracket (that does not satisfy the Jacobi identity). This initial condition is incompatible with associativity, it is quite unclear which restrictions can be imposed on the deformation. We show that for any quasi-Poisson bracket the deformation quantization exists and is essentially unique if one requires (weak) hermiticity and the Weyl condition. We also propose an iterative procedure that allows to compute the star product up to any desired order.

8.792652

9.711496

9.970292

9.062608

10.552855

10.2289

9.540781

9.063938

9.564507

10.64499

8.924323

9.000436

8.900151

8.639596

8.747521

8.496179

8.62556

8.582041

8.540348

8.981184

8.390802

1211.4576

Mark Wyman

Mark Wyman, Wayne Hu, Pierre Gratia

Self-accelerating Massive Gravity: Time for Field Fluctuations

11 pages, no figures. v2: two typos corrected, one in appendix to match PRD version, another in Eqn. 40

Phys. Rev. D 87, 084046 (2013)

10.1103/PhysRevD.87.084046

null

hep-th astro-ph.CO gr-qc

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

The ghost-free theory of massive gravity has exact solutions where the effective stress energy generated by the graviton mass term is a cosmological constant for any isotropic metric. Since they are exact, these solutions mimic a cosmological constant in the presence of any matter-induced isotropic metric perturbation. In the Stueckelberg formulation, this stress energy is carried entirely by the spatial Stueckelberg field. We show that any stress energy carried by fluctuations in the spatial field away from the exact solution always decays away in an expanding universe. However, the dynamics of the spatial Stueckelberg field perturbation depend on the background temporal Stueckelberg field, which is equivalent to the unitary gauge time coordinate. This dependence resolves an apparent conflict in the existing literature by showing that there is a special unitary time choice for which the field dynamics and energy density perturbations vanish identically. In general, the isotropic system has a single dynamical degree of freedom requiring two sets of initial data; however, only one of these initial data choices will affect the observable metric. Finally, we construct cosmological solutions with a well-defined perturbative initial value formulation and comment on alternate solutions that evolve to singularities.

[ { "created": "Mon, 19 Nov 2012 21:00:02 GMT", "version": "v1" }, { "created": "Mon, 13 May 2013 21:33:34 GMT", "version": "v2" } ]

2013-05-15

[ [ "Wyman", "Mark", "" ], [ "Hu", "Wayne", "" ], [ "Gratia", "Pierre", "" ] ]

The ghost-free theory of massive gravity has exact solutions where the effective stress energy generated by the graviton mass term is a cosmological constant for any isotropic metric. Since they are exact, these solutions mimic a cosmological constant in the presence of any matter-induced isotropic metric perturbation. In the Stueckelberg formulation, this stress energy is carried entirely by the spatial Stueckelberg field. We show that any stress energy carried by fluctuations in the spatial field away from the exact solution always decays away in an expanding universe. However, the dynamics of the spatial Stueckelberg field perturbation depend on the background temporal Stueckelberg field, which is equivalent to the unitary gauge time coordinate. This dependence resolves an apparent conflict in the existing literature by showing that there is a special unitary time choice for which the field dynamics and energy density perturbations vanish identically. In general, the isotropic system has a single dynamical degree of freedom requiring two sets of initial data; however, only one of these initial data choices will affect the observable metric. Finally, we construct cosmological solutions with a well-defined perturbative initial value formulation and comment on alternate solutions that evolve to singularities.

10.614406

11.889978

11.290257

10.379634

12.252093

11.348299

11.531066

11.175876

11.332466

11.583274

11.58608

11.168823

10.84408

10.83713

10.671572

11.151847

10.95878

10.901645

10.605285

10.716353

10.28756

1509.08882

Tib\'erio de Paula Netto

Tiberio de Paula Netto, Ana M. Pelinson, Ilya L. Shapiro and Alexei A. Starobinsky

From stable to unstable anomaly-induced inflation

Significant changes made due to the observations of the referee. Fits the version accepted in Eur.Phys.Journ.C

Eur.Phys.J. C76 (2016) no.10, 544

10.1140/epjc/s10052-016-4390-4

null

hep-th astro-ph.CO gr-qc

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

Quantum effects derived through conformal anomaly lead to an inflationary model that can be either stable or unstable. The unstable version requires a large dimensionless coefficient of about $5\times 10^8$ in front of the $R^2$ term that results in the inflationary regime in the $R+R^2$ ("Starobinsky") model being a generic intermediate attractor. In this case the non-local terms in the effective action are practically irrelevant, and there is a 'graceful exit' to a low curvature matter-like dominated stage driven by high-frequency oscillations of $R$ -- scalarons, which later decay to pairs of all particles and antiparticles, with the amount of primordial scalar (density) perturbations required by observations. The stable version is a genuine generic attractor, so there is no exit from it. We discuss a possible transition from stable to unstable phases of inflation. It is shown that this transition is automatic if the sharp cut-off approximation is assumed for quantum corrections in the period of transition. Furthermore, we describe two different quantum mechanisms that may provide a required large $\,R^2$-term in the transition period.

[ { "created": "Tue, 29 Sep 2015 18:37:16 GMT", "version": "v1" }, { "created": "Fri, 2 Oct 2015 21:27:34 GMT", "version": "v2" }, { "created": "Wed, 21 Sep 2016 23:07:55 GMT", "version": "v3" } ]

2016-10-20

[ [ "Netto", "Tiberio de Paula", "" ], [ "Pelinson", "Ana M.", "" ], [ "Shapiro", "Ilya L.", "" ], [ "Starobinsky", "Alexei A.", "" ] ]

Quantum effects derived through conformal anomaly lead to an inflationary model that can be either stable or unstable. The unstable version requires a large dimensionless coefficient of about $5\times 10^8$ in front of the $R^2$ term that results in the inflationary regime in the $R+R^2$ ("Starobinsky") model being a generic intermediate attractor. In this case the non-local terms in the effective action are practically irrelevant, and there is a 'graceful exit' to a low curvature matter-like dominated stage driven by high-frequency oscillations of $R$ -- scalarons, which later decay to pairs of all particles and antiparticles, with the amount of primordial scalar (density) perturbations required by observations. The stable version is a genuine generic attractor, so there is no exit from it. We discuss a possible transition from stable to unstable phases of inflation. It is shown that this transition is automatic if the sharp cut-off approximation is assumed for quantum corrections in the period of transition. Furthermore, we describe two different quantum mechanisms that may provide a required large $\,R^2$-term in the transition period.

13.531303

14.705562

13.970652

12.421721

13.25894

13.674062

14.224589

12.834682

13.493578

14.943634

12.849638

12.92662

12.993861

12.554451

12.430503

12.924013

13.125175

12.740368

12.577206

13.098533

12.634806

1611.00150

Pietro Longhi

Wall-Crossing Invariants from Spectral Networks

A software for graph combinatorics is included with submission files; v2 a correction to section 4.8

null

hep-th math.AG

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

A new construction of BPS monodromies for 4d ${\mathcal N}=2$ theories of class S is introduced. A novel feature of this construction is its manifest invariance under Kontsevich-Soibelman wall crossing, in the sense that no information on the 4d BPS spectrum is employed. The BPS monodromy is encoded by topological data of a finite graph, embedded into the UV curve $C$ of the theory. The graph arises from a degenerate limit of spectral networks, constructed at maximal intersections of walls of marginal stability in the Coulomb branch of the gauge theory. The topology of the graph, together with a notion of framing, encode equations that determine the monodromy. We develop an algorithmic technique for solving the equations, and compute the monodromy in several examples. The graph manifestly encodes the symmetries of the monodromy, providing some support for conjectural relations to specializations of the superconformal index. For $A_1$-type theories, the graphs encoding the monodromy are "dessins d'enfants" on $C$, the corresponding Strebel differentials coincide with the quadratic differentials that characterize the Seiberg-Witten curve.

[ { "created": "Tue, 1 Nov 2016 07:35:16 GMT", "version": "v1" }, { "created": "Thu, 1 Jun 2017 07:36:23 GMT", "version": "v2" } ]

2017-06-02

[ [ "Longhi", "Pietro", "" ] ]

A new construction of BPS monodromies for 4d ${\mathcal N}=2$ theories of class S is introduced. A novel feature of this construction is its manifest invariance under Kontsevich-Soibelman wall crossing, in the sense that no information on the 4d BPS spectrum is employed. The BPS monodromy is encoded by topological data of a finite graph, embedded into the UV curve $C$ of the theory. The graph arises from a degenerate limit of spectral networks, constructed at maximal intersections of walls of marginal stability in the Coulomb branch of the gauge theory. The topology of the graph, together with a notion of framing, encode equations that determine the monodromy. We develop an algorithmic technique for solving the equations, and compute the monodromy in several examples. The graph manifestly encodes the symmetries of the monodromy, providing some support for conjectural relations to specializations of the superconformal index. For $A_1$-type theories, the graphs encoding the monodromy are "dessins d'enfants" on $C$, the corresponding Strebel differentials coincide with the quadratic differentials that characterize the Seiberg-Witten curve.

6.694948

6.700643

7.477787

6.59712

6.99101

6.303265

6.491302

6.44479

6.886646

8.035634

6.376261

6.591083

6.925598

6.531617

6.564681

6.611316

6.628146

6.623509

6.430834

6.759454

6.474514

1703.10676

James T. Liu

James T. Liu and Pranav V. Rao

Seeing bulk perturbations in Lifshitz holography

17 pages, 2 figures

null

MCTP-17-04

hep-th

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

We introduce a perturbation $h_{\mu\nu}$ onto a background Lifshitz spacetime and examine some of its consequences. In particular, we consider a radially localized perturbation and compute the resulting holographic Green's function to linearized order. At leading order, the Lifshitz Green's function demonstrates suppression of spectral weight at low frequencies, and this feature allows bulk perturbations in the IR to be partially hidden from local boundary probes.

[ { "created": "Thu, 30 Mar 2017 21:05:16 GMT", "version": "v1" } ]

2017-04-03

[ [ "Liu", "James T.", "" ], [ "Rao", "Pranav V.", "" ] ]

We introduce a perturbation $h_{\mu\nu}$ onto a background Lifshitz spacetime and examine some of its consequences. In particular, we consider a radially localized perturbation and compute the resulting holographic Green's function to linearized order. At leading order, the Lifshitz Green's function demonstrates suppression of spectral weight at low frequencies, and this feature allows bulk perturbations in the IR to be partially hidden from local boundary probes.

12.722391

12.292043

12.587831

10.805538

10.032842

11.140597

10.74066

10.71602

10.475674

13.431274

10.515615

11.005959

11.703905

10.990362

10.657584

10.542851

10.557687

10.731483

11.030914

11.306816

10.90305

0803.3226

Paul Romatschke

Daniel Grumiller and Paul Romatschke

On the collision of two shock waves in AdS5

15 pages, 1 figure; v2: clarifications on boost-invariance and appendix added; v3: minor modifications, references added, matches published version

JHEP 0808:027,2008

10.1088/1126-6708/2008/08/027

INT PUB 08-06; MIT-CTP 3939; YITP-08-18

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

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

We consider two ultrarelativistic shock waves propagating and colliding in five-dimensional Anti-de-Sitter spacetime. By transforming to Rosen coordinates, we are able to find the form of the metric shortly after the collision. Using holographic renormalization, we calculate the energy-momentum tensor on the boundary of AdS space for early times after the collision. Via the gauge-gravity duality, this gives some insights on bulk dynamics of systems created by high energy scattering in strongly coupled gauge theories. We find that Bjorken boost-invariance is explicitely violated at early times and we obtain an estimate for the thermalization time in this simple system.

[ { "created": "Mon, 24 Mar 2008 19:25:41 GMT", "version": "v1" }, { "created": "Thu, 8 May 2008 16:16:28 GMT", "version": "v2" }, { "created": "Thu, 2 Oct 2008 16:48:53 GMT", "version": "v3" } ]

2014-11-18

[ [ "Grumiller", "Daniel", "" ], [ "Romatschke", "Paul", "" ] ]

We consider two ultrarelativistic shock waves propagating and colliding in five-dimensional Anti-de-Sitter spacetime. By transforming to Rosen coordinates, we are able to find the form of the metric shortly after the collision. Using holographic renormalization, we calculate the energy-momentum tensor on the boundary of AdS space for early times after the collision. Via the gauge-gravity duality, this gives some insights on bulk dynamics of systems created by high energy scattering in strongly coupled gauge theories. We find that Bjorken boost-invariance is explicitely violated at early times and we obtain an estimate for the thermalization time in this simple system.

8.157914

7.962132

8.080727

7.540812

7.758053

8.032337

7.747387

7.567497

7.845878

8.628394

7.781813

8.04755

7.839364

7.920363

7.895399

8.034587

8.019654

7.883317

7.910665

7.983437

7.873422

1203.6067

Sebastian Franco

Sebastian Franco, Daniele Galloni and Yang-Hui He

Towards the Continuous Limit of Cluster Integrable Systems

32 pages, 19 figures

null

10.1007/JHEP09(2012)020

null

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

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

We initiate the study of how to extend the correspondence between dimer models and (0+1)-dimensional cluster integrable systems to (1+1) and (2+1)-dimensional continuous integrable field theories, addressing various points that are necessary for achieving this goal. We first study how to glue and split two integrable systems, from the perspectives of the spectral curve, the resolution of the associated toric Calabi-Yau 3-folds and Higgsing in quiver theories on D3-brane probes. We identify a continuous parameter controlling the decoupling between the components and present two complementary methods for determining the dependence on this parameter of the dynamical variables of the integrable system. Interested in constructing systems with an infinite number of degrees of freedom, we study the combinatorics of integrable systems built up from a large number of elementary components, and introduce a toy model capturing important features expected to be present in a continuous reformulation of cluster integrable systems.

[ { "created": "Tue, 27 Mar 2012 20:00:02 GMT", "version": "v1" } ]

2015-06-04

[ [ "Franco", "Sebastian", "" ], [ "Galloni", "Daniele", "" ], [ "He", "Yang-Hui", "" ] ]

We initiate the study of how to extend the correspondence between dimer models and (0+1)-dimensional cluster integrable systems to (1+1) and (2+1)-dimensional continuous integrable field theories, addressing various points that are necessary for achieving this goal. We first study how to glue and split two integrable systems, from the perspectives of the spectral curve, the resolution of the associated toric Calabi-Yau 3-folds and Higgsing in quiver theories on D3-brane probes. We identify a continuous parameter controlling the decoupling between the components and present two complementary methods for determining the dependence on this parameter of the dynamical variables of the integrable system. Interested in constructing systems with an infinite number of degrees of freedom, we study the combinatorics of integrable systems built up from a large number of elementary components, and introduce a toy model capturing important features expected to be present in a continuous reformulation of cluster integrable systems.

9.999585

10.081736

11.225384

9.010976

9.155163

9.900748

9.421754

10.214626

9.010835

11.242605

9.744448

9.295132

10.549338

9.531498

9.671149

9.518931

9.481873

9.379264

9.53861

10.363366

9.251202

hep-th/0201132

Sang-Jin Sin

Soonkeon Nam, and Sang-Jin Sin

Condensation of Localized Tachyons and Spacetime Supersymmetry

v2, 12 pages, reference added logic changed, no change in final results

J.Korean Phys.Soc.43:34-39,2003

null

hep-th

null

We consider condensation of localized closed string tachyons by examining the recent proposal of Harvey, Kutasov, Martinec, and Moore. We first observe that the $g_{\rm cl}$ defined by HKMM does not reflect the space-time supersymmetry when the model has the SUSY. Especially for ${\bf C}^2/{\bf Z}_N$ models, $g_{\rm cl}$ defined by them is highly peaked along the supersymmetric points in the space of orbifolds, which is unsatisfactory property of the "potential" of the RG-flow. We give the modified definition of the $g_{\rm cl}$ in type II cases such that it has a valley along the supersymmetric points in the orbifold moduli space. New definition predicts that the processes suggested by Adams, Polchinski and Silverstein and was argued to be forbidden by HKMM are in fact allowed.

[ { "created": "Thu, 17 Jan 2002 08:08:06 GMT", "version": "v1" }, { "created": "Sat, 16 Feb 2002 01:49:14 GMT", "version": "v2" } ]

2010-02-05

[ [ "Nam", "Soonkeon", "" ], [ "Sin", "Sang-Jin", "" ] ]

We consider condensation of localized closed string tachyons by examining the recent proposal of Harvey, Kutasov, Martinec, and Moore. We first observe that the $g_{\rm cl}$ defined by HKMM does not reflect the space-time supersymmetry when the model has the SUSY. Especially for ${\bf C}^2/{\bf Z}_N$ models, $g_{\rm cl}$ defined by them is highly peaked along the supersymmetric points in the space of orbifolds, which is unsatisfactory property of the "potential" of the RG-flow. We give the modified definition of the $g_{\rm cl}$ in type II cases such that it has a valley along the supersymmetric points in the orbifold moduli space. New definition predicts that the processes suggested by Adams, Polchinski and Silverstein and was argued to be forbidden by HKMM are in fact allowed.

10.542469

10.03138

13.531429

8.979508

9.845206

9.627941

9.649663

9.613502

9.645002

13.25655

9.291996

9.353112

11.23722

9.475055

9.447108

9.896789

9.623299

9.559665

9.686215

10.801064

9.474781

hep-th/0309049

Shun'ya Mizoguchi

Hiroyuki Fuji and Shun'ya Mizoguchi

Remarks on Phase Transitions in Matrix Models and N=1 Supersymmetric Gauge Theory

15 pages, 7 figures

Phys.Lett. B578 (2004) 432-442

10.1016/j.physletb.2003.10.098

KEK Preprint 2003-52, KEK-TH-913

hep-th

null

A hermitian one-matrix model with an even quartic potential exhibits a third-order phase transition when the cuts of the matrix model curve coalesce. We use the known solutions of this matrix model to compute effective superpotentials of an N=1, SU(N) supersymmetric Yang-Mills theory coupled to an adjoint superfield, following the techniques developed by Dijkgraaf and Vafa. These solutions automatically satisfy the quantum tracelessness condition and describe a breaking to SU(N/2) x SU(N/2) x U(1). We show that the value of the effective superpotential is smooth at the transition point, and that the two-cut (broken) phase is more favored than the one-cut (unbroken) phase below the critical scale. The U(1) coupling constant diverges due to the massless monopole, thereby demonstrating Ferrari's general formula. We also briefly discuss the implication of the Painleve II equation arising in the double scaling limit.

[ { "created": "Thu, 4 Sep 2003 06:41:32 GMT", "version": "v1" } ]

2015-06-26

[ [ "Fuji", "Hiroyuki", "" ], [ "Mizoguchi", "Shun'ya", "" ] ]

A hermitian one-matrix model with an even quartic potential exhibits a third-order phase transition when the cuts of the matrix model curve coalesce. We use the known solutions of this matrix model to compute effective superpotentials of an N=1, SU(N) supersymmetric Yang-Mills theory coupled to an adjoint superfield, following the techniques developed by Dijkgraaf and Vafa. These solutions automatically satisfy the quantum tracelessness condition and describe a breaking to SU(N/2) x SU(N/2) x U(1). We show that the value of the effective superpotential is smooth at the transition point, and that the two-cut (broken) phase is more favored than the one-cut (unbroken) phase below the critical scale. The U(1) coupling constant diverges due to the massless monopole, thereby demonstrating Ferrari's general formula. We also briefly discuss the implication of the Painleve II equation arising in the double scaling limit.

9.158757

9.122798

10.171537

8.051535

8.508329

9.303304

9.071027

8.670794

8.699919

10.017451

7.888628

8.475898

8.820194

8.348077

8.268806

8.420522

8.088753

8.298018

8.504594

8.963799

8.228094

hep-th/0105203

Sviatoslav Solganik

G. Dvali, Q. Shafi and S. Solganik

D-brane Inflation

Talk given by Q.S. at the workshop in Heidelberg (April 4-7, 2001), and at the EURESCO conference in Le Londe (France) May 11-16, 2001. 12pp

null

hep-th astro-ph hep-ph

null

We discuss a calculable version of brane inflation, in which a set of parallel D-brane and anti-D-brane worlds, initially displaced in extra dimension, slowly attract each other. In the effective four-dimensional theory this slow motion of branes translates into a slow-roll of a scalar field (proportional to their separation) with a flat potential that drives inflation. The number of possible e-foldings is severely constrained. The scalar spectral index is found to be 0.97, while the effective compactification scale is of order $10^{12}$ GeV. Reheating of the Universe is provided by collision and subsequent annihilation of branes.

[ { "created": "Mon, 21 May 2001 14:34:36 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dvali", "G.", "" ], [ "Shafi", "Q.", "" ], [ "Solganik", "S.", "" ] ]

We discuss a calculable version of brane inflation, in which a set of parallel D-brane and anti-D-brane worlds, initially displaced in extra dimension, slowly attract each other. In the effective four-dimensional theory this slow motion of branes translates into a slow-roll of a scalar field (proportional to their separation) with a flat potential that drives inflation. The number of possible e-foldings is severely constrained. The scalar spectral index is found to be 0.97, while the effective compactification scale is of order $10^{12}$ GeV. Reheating of the Universe is provided by collision and subsequent annihilation of branes.

8.382515

8.965124

8.091818

7.84788

8.813583

8.409822

8.398511

8.817619

7.452697

8.700989

8.317901

8.343864

8.341391

7.930247

7.990147

8.358646

8.304412

8.125389

7.957074

8.132556

8.273782

1008.4744

Stefan Pfenninger

Andrea Campoleoni, Stefan Fredenhagen, Stefan Pfenninger, Stefan Theisen

Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields

38 pages; version to be published in JHEP; typos corrected in eqs. (2.9) and (2.54)

JHEP 1011:007,2010

10.1007/JHEP11(2010)007

AEI-2010-140

hep-th

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

We discuss the emergence of W-algebras as asymptotic symmetries of higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative cosmological constant. We focus on models involving a finite number of bosonic higher-spin fields, and especially on the example provided by the coupling of a spin-3 field to gravity. It is described by a SL(3) \times SL(3) Chern-Simons theory and its asymptotic symmetry algebra is given by two copies of the classical W_3-algebra with central charge the one computed by Brown and Henneaux in pure gravity with negative cosmological constant.

[ { "created": "Fri, 27 Aug 2010 16:01:21 GMT", "version": "v1" }, { "created": "Mon, 1 Nov 2010 14:57:38 GMT", "version": "v2" } ]

2010-11-08

[ [ "Campoleoni", "Andrea", "" ], [ "Fredenhagen", "Stefan", "" ], [ "Pfenninger", "Stefan", "" ], [ "Theisen", "Stefan", "" ] ]

We discuss the emergence of W-algebras as asymptotic symmetries of higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative cosmological constant. We focus on models involving a finite number of bosonic higher-spin fields, and especially on the example provided by the coupling of a spin-3 field to gravity. It is described by a SL(3) \times SL(3) Chern-Simons theory and its asymptotic symmetry algebra is given by two copies of the classical W_3-algebra with central charge the one computed by Brown and Henneaux in pure gravity with negative cosmological constant.

5.075643

4.931687

5.843343

4.838372

4.858017

4.958001

5.389799

4.587641

4.686893

5.788723

5.156153

4.795106

5.00896

4.753399

4.94653

4.731338

4.677018

4.864581

4.650702

5.138512

4.69143

hep-th/9706192

Bas Peeters

H.J. Boonstra, B. Peeters and K. Skenderis

Duality and asymptotic geometries

13 pages, Latex, references added

Phys.Lett.B411:59-67,1997

10.1016/S0370-2693(97)01008-3

KUL-TF-97-17

hep-th

null

We consider a series of duality transformations that leads to a constant shift in the harmonic functions appearing in the description of a configuration of branes. This way, for several intersections of branes, we can relate the original brane configuration which is asymptotically flat to a geometry of the type $adS_k \xx E^l \xx S^m$. The implications of our results for supersymmetry enhancement, M(atrix) theory at finite N, and for supergravity theories in diverse dimensions are discussed.

[ { "created": "Thu, 26 Jun 1997 14:54:22 GMT", "version": "v1" }, { "created": "Mon, 30 Jun 1997 10:14:43 GMT", "version": "v2" } ]

2008-12-18

[ [ "Boonstra", "H. J.", "" ], [ "Peeters", "B.", "" ], [ "Skenderis", "K.", "" ] ]

We consider a series of duality transformations that leads to a constant shift in the harmonic functions appearing in the description of a configuration of branes. This way, for several intersections of branes, we can relate the original brane configuration which is asymptotically flat to a geometry of the type $adS_k \xx E^l \xx S^m$. The implications of our results for supersymmetry enhancement, M(atrix) theory at finite N, and for supergravity theories in diverse dimensions are discussed.

14.813724

10.713254

17.219257

11.727762

10.393975

10.095244

9.966826

11.017102

11.545423

16.986963

11.395348

12.375093

14.326122

13.507583

13.074988

13.104171

13.223215

12.799322

13.331757

14.894129

12.925154

0801.2836

Gabor Takacs

Z. Bajnok, L. Palla and G. Takacs

Casimir effect in the boundary state formalism

11 pages. Proceedings contribution of talk given at the Workshop on Quantum Field Theory under the Influence of External Conditions (QFEXT07), University of Leipzig, September 16-21, 2007. To appear in J. Phys. A

J.Phys.A41:164011,2008

10.1088/1751-8113/41/16/164011

null

hep-th quant-ph

null

Casimir effect in the planar setting is described using the boundary state formalism, for general partially reflecting boundaries. It is expressed in terms of the low-energy degrees of freedom, which provides a large distance expansion valid for general interacting field theories provided there is a non-vanishing mass gap. The expansion is written in terms of the scattering amplitudes, and needs no ultraviolet renormalization. We also discuss the case when the quantum field has a nontrivial vacuum configuration.

[ { "created": "Fri, 18 Jan 2008 09:16:36 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bajnok", "Z.", "" ], [ "Palla", "L.", "" ], [ "Takacs", "G.", "" ] ]

Casimir effect in the planar setting is described using the boundary state formalism, for general partially reflecting boundaries. It is expressed in terms of the low-energy degrees of freedom, which provides a large distance expansion valid for general interacting field theories provided there is a non-vanishing mass gap. The expansion is written in terms of the scattering amplitudes, and needs no ultraviolet renormalization. We also discuss the case when the quantum field has a nontrivial vacuum configuration.

12.796527

12.277428

13.21874

11.40429

10.962877

11.619197

12.490123

11.280192

12.273983

12.753943

11.84468

11.264881

11.766601

11.425651

11.563114

11.329962

11.501326

11.563865

11.560312

12.051579

11.477116

1508.01284

Marco Maceda

Ang\'elica Gonz\'alez and Rom\'an Linares and Marco Maceda and Oscar S\'anchez-Santos

Thermodynamics of a higher dimensional noncommutative anti-de Sitter-Einstein-Born-infeld black hole

Revised version, 13 pages, 8 figures

null

hep-th

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

We analyze noncommutative deformations of a higher dimensional anti-de Sitter-Einstein-Born-Infeld black hole. Two models based on noncommutative inspired distributions of mass and charge are discussed and their thermodynamical properties are calculated. In the (3+1)-dimensional case, the equation of state and the Gibbs energy function of each model are found.

[ { "created": "Thu, 6 Aug 2015 04:58:39 GMT", "version": "v1" }, { "created": "Fri, 21 Aug 2015 04:52:07 GMT", "version": "v2" }, { "created": "Thu, 30 Jun 2016 04:43:16 GMT", "version": "v3" } ]

2016-07-01

[ [ "González", "Angélica", "" ], [ "Linares", "Román", "" ], [ "Maceda", "Marco", "" ], [ "Sánchez-Santos", "Oscar", "" ] ]

We analyze noncommutative deformations of a higher dimensional anti-de Sitter-Einstein-Born-Infeld black hole. Two models based on noncommutative inspired distributions of mass and charge are discussed and their thermodynamical properties are calculated. In the (3+1)-dimensional case, the equation of state and the Gibbs energy function of each model are found.

9.469774

9.257761

8.766886

8.339252

8.111335

8.289605

8.37159

8.565504

8.724171

8.520487

8.584046

8.806922

8.459979

8.457322

8.495888

8.758495

8.71478

8.348232

8.862894

8.741246

8.568831

hep-th/0611204

Anatoly Kotikov Vassilievich

A.V. Kotikov and L.N. Lipatov

On the highest transcendentality in N=4 SUSY

42 pages

Nucl.Phys.B769:217-255,2007

10.1016/j.nuclphysb.2007.01.020

null

hep-th

null

We investigate the Eden-Staudacher equation for the anomalous dimension of the twist-2 operators at the large spin s in the N=4 super-symmetric gauge theory. This equation is reduced to a set of linear algebraic equations with the kernel calculated analytically. We prove that in perturbation theory the anomalous dimension is a sum of products of the Euler functions zeta(k) having the property of the maximal transcendentality with the coefficients being integer numbers. The radius of convergency of the perturbation theory is found. It is shown, that at g=infty the kernel has an essential singularity. The analytic properties of the solution of the Eden-Staudacher equation are investigated. In particular for the case of the strong coupling constant the solution has an essential singularity on the second sheet of the variable j appearing in its Laplace transformation. Similar results are derived also for the Beisert-Eden-Staudacher equation which includes the contribution from the phase related to the crossing symmetry of the underlying S-matrix. We show, that its singular solution at large coupling constants reproduces the anomalous dimension predicted from the string side of the AdS/CFT correspondence.

[ { "created": "Mon, 20 Nov 2006 19:09:16 GMT", "version": "v1" }, { "created": "Mon, 27 Nov 2006 19:57:15 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kotikov", "A. V.", "" ], [ "Lipatov", "L. N.", "" ] ]

We investigate the Eden-Staudacher equation for the anomalous dimension of the twist-2 operators at the large spin s in the N=4 super-symmetric gauge theory. This equation is reduced to a set of linear algebraic equations with the kernel calculated analytically. We prove that in perturbation theory the anomalous dimension is a sum of products of the Euler functions zeta(k) having the property of the maximal transcendentality with the coefficients being integer numbers. The radius of convergency of the perturbation theory is found. It is shown, that at g=infty the kernel has an essential singularity. The analytic properties of the solution of the Eden-Staudacher equation are investigated. In particular for the case of the strong coupling constant the solution has an essential singularity on the second sheet of the variable j appearing in its Laplace transformation. Similar results are derived also for the Beisert-Eden-Staudacher equation which includes the contribution from the phase related to the crossing symmetry of the underlying S-matrix. We show, that its singular solution at large coupling constants reproduces the anomalous dimension predicted from the string side of the AdS/CFT correspondence.

9.262344

9.24702

9.761401

8.381743

9.479517

10.1816

8.985712

8.765149

8.8272

11.393932

9.036852

8.839122

8.723819

8.725086

8.855103

8.826148

8.487405

8.755326

8.488273

8.790916

8.712729

0705.1557

Alexander Westphal

Lifetime of Stringy de Sitter Vacua

1+16 pages, 2 figures, LaTeX, uses JHEP3 class, v2: references added, inclusion of an additional subclass of de Sitter vacua

JHEP 0801:012,2008

10.1088/1126-6708/2008/01/012

SISSA-30/2007/EP

hep-th astro-ph hep-ph

null

In this note we perform a synopsis of the life-times from vacuum decay of several de Sitter vacuum constructions in string/M-theory which have a single dS minimum arising from lifting a pre-existing AdS extremum and no other local minima existent after lifting. For these vacua the decay proceeds via a Coleman--De Luccia instanton towards the universal Minkowski minimum at infinite volume. This can be calculated using the thin--wall approximation, provided the cosmological constant of the local dS minimum is tuned sufficiently small. We compare the estimates for the different model classes and find them all stable in the sense of exponentially long life times as long as they have a very small cosmological constant and a scale of supersymmetry breaking > TeV.

[ { "created": "Thu, 10 May 2007 22:03:13 GMT", "version": "v1" }, { "created": "Tue, 26 Jun 2007 21:10:23 GMT", "version": "v2" } ]

2009-04-22

[ [ "Westphal", "Alexander", "" ] ]

In this note we perform a synopsis of the life-times from vacuum decay of several de Sitter vacuum constructions in string/M-theory which have a single dS minimum arising from lifting a pre-existing AdS extremum and no other local minima existent after lifting. For these vacua the decay proceeds via a Coleman--De Luccia instanton towards the universal Minkowski minimum at infinite volume. This can be calculated using the thin--wall approximation, provided the cosmological constant of the local dS minimum is tuned sufficiently small. We compare the estimates for the different model classes and find them all stable in the sense of exponentially long life times as long as they have a very small cosmological constant and a scale of supersymmetry breaking > TeV.

15.730727

15.716646

15.121277

15.094817

14.673229

16.211128

15.716107

14.673856

14.495996

17.513964

15.11576

14.98025

15.346946

14.434429

14.459011

14.272625

15.04135

14.630879

15.15833

15.371888

15.089679

2402.00119

Saquib M Hassan

Saquib Hassan, John March-Russell, Georges Obied

Chern-Simons bubbles: Lopsided false vacuum decay in axion electrodynamics

30 pages

null

hep-th gr-qc hep-ph

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

We study axion electrodynamics, including the Chern-Simons interaction term, in the presence of parallel background electric and magnetic fields, as can for example occur in certain models of axion inflation and in the study of dyonic black holes. In this setup, we find a new back-reacted instanton solution which corresponds to the nucleation of an axion domain wall that screens the electromagnetic fields in a process analogous to Schwinger pair production, despite the absence of light charged particles. The full solution includes the effect of the Chern-Simons induced charges and currents on the axion domain wall arising from the Witten and Sikivie (anomalous Hall) effects, respectively. The Euclidean solution has a reduced $O(2)\times O(2)$ symmetry which describes the nucleation of a prolate bubble in its rest-frame. A unique feature of this solution is that the region of lower energy density is outside the bubble rather than inside. We also describe the time evolution of this initial configuration, showing how the bubble can become further elongated along the direction of the background electric and magnetic fields. We describe potential applications of this process in particle physics and cosmology.

[ { "created": "Wed, 31 Jan 2024 19:00:04 GMT", "version": "v1" } ]

2024-02-02

[ [ "Hassan", "Saquib", "" ], [ "March-Russell", "John", "" ], [ "Obied", "Georges", "" ] ]

We study axion electrodynamics, including the Chern-Simons interaction term, in the presence of parallel background electric and magnetic fields, as can for example occur in certain models of axion inflation and in the study of dyonic black holes. In this setup, we find a new back-reacted instanton solution which corresponds to the nucleation of an axion domain wall that screens the electromagnetic fields in a process analogous to Schwinger pair production, despite the absence of light charged particles. The full solution includes the effect of the Chern-Simons induced charges and currents on the axion domain wall arising from the Witten and Sikivie (anomalous Hall) effects, respectively. The Euclidean solution has a reduced $O(2)\times O(2)$ symmetry which describes the nucleation of a prolate bubble in its rest-frame. A unique feature of this solution is that the region of lower energy density is outside the bubble rather than inside. We also describe the time evolution of this initial configuration, showing how the bubble can become further elongated along the direction of the background electric and magnetic fields. We describe potential applications of this process in particle physics and cosmology.

9.116208

9.167566

8.845986

8.582823

9.456076

9.273822

9.151981

9.10854

8.511095

9.324059

8.753721

8.847785

8.97266

8.7569

8.541318

8.590953

8.690205

8.90982

8.829967

9.103476

8.411769

0806.1964

Sebastian Franco

Matthew Buican and Sebastian Franco

SUSY breaking mediation by D-brane instantons

42 pages, 7 figures. V2. typos fixed and references added

JHEP 0812:030,2008

10.1088/1126-6708/2008/12/030

null

hep-th

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

It is well known that D-brane instantons can generate contributions to the effective superpotential of gauge theories living on D-branes which are perturbatively forbidden by global U(1) symmetries. We extend this idea to theories with supersymmetry breaking, studying the effect of D-brane instantons stretched between the SUSY-breaking and visible sectors. Analogously to what happens in the SUSY case, this mechanism can give rise to perturbatively forbidden soft terms (among other effects). We introduce and discuss general properties of instanton mediation. We illustrate our ideas in simple Type IIB toroidal orientifolds. As a bi-product, we present a string theory realization of a Polonyi hidden sector.

[ { "created": "Wed, 11 Jun 2008 20:32:39 GMT", "version": "v1" }, { "created": "Fri, 20 Jun 2008 23:15:52 GMT", "version": "v2" } ]

2009-11-19

[ [ "Buican", "Matthew", "" ], [ "Franco", "Sebastian", "" ] ]

It is well known that D-brane instantons can generate contributions to the effective superpotential of gauge theories living on D-branes which are perturbatively forbidden by global U(1) symmetries. We extend this idea to theories with supersymmetry breaking, studying the effect of D-brane instantons stretched between the SUSY-breaking and visible sectors. Analogously to what happens in the SUSY case, this mechanism can give rise to perturbatively forbidden soft terms (among other effects). We introduce and discuss general properties of instanton mediation. We illustrate our ideas in simple Type IIB toroidal orientifolds. As a bi-product, we present a string theory realization of a Polonyi hidden sector.

8.868948

7.268081

7.722681

7.846738

7.841197

7.540171

7.522341

7.438036

7.518414

8.601323

7.552619

7.792142

8.280971

7.882343

8.059061

7.853673

7.87853

7.920778

7.848867

8.160632

7.78917

1203.4962

Shin'ichi Nojiri

Norihito Shirai, Kazuharu Bamba, Shota Kumekawa, Jiro Matsumoto, Shin'ichi Nojiri

Generalized Galileon Model -- cosmological reconstruction and the Vainshtein mechanism --

27 pages, no figure, version to appear in Physical Review D

null

10.1103/PhysRevD.86.043006

null

hep-th astro-ph.CO gr-qc

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

Explicit formulae of the equations in the generalized Galileon models are given. We also develop the formulation of the reconstruction. By using the formulation, we can explicitly construct an action which reproduces an arbitrary development of the expansion of the universe. The conditions how the reconstructed solution becomes stable and therefore it becomes an attractor solution are also given. Working in the static and spherically symmetric space-time, we investigate how the Vainshtein mechanism works in the generalized Galileon model and the correction to the Newton law becomes small. It is also shown that any spherically symmetric and static geometry can be realized by properly choosing the form of the action, which may tell that the solution could have fourth hair corresponding to the scalar field.

[ { "created": "Thu, 22 Mar 2012 11:11:59 GMT", "version": "v1" }, { "created": "Sat, 31 Mar 2012 09:58:36 GMT", "version": "v2" }, { "created": "Wed, 20 Jun 2012 23:46:26 GMT", "version": "v3" } ]

2015-06-04

[ [ "Shirai", "Norihito", "" ], [ "Bamba", "Kazuharu", "" ], [ "Kumekawa", "Shota", "" ], [ "Matsumoto", "Jiro", "" ], [ "Nojiri", "Shin'ichi", "" ] ]

Explicit formulae of the equations in the generalized Galileon models are given. We also develop the formulation of the reconstruction. By using the formulation, we can explicitly construct an action which reproduces an arbitrary development of the expansion of the universe. The conditions how the reconstructed solution becomes stable and therefore it becomes an attractor solution are also given. Working in the static and spherically symmetric space-time, we investigate how the Vainshtein mechanism works in the generalized Galileon model and the correction to the Newton law becomes small. It is also shown that any spherically symmetric and static geometry can be realized by properly choosing the form of the action, which may tell that the solution could have fourth hair corresponding to the scalar field.

12.858075

13.757163

12.687358

11.819051

13.432501

13.122045

13.753188

12.685035

12.546193

13.994696

12.897913

13.019487

12.772091

12.421078

12.378873

13.048404

13.213739

12.460377

12.737649

12.819748

12.517826

hep-th/0512152

Yuichi Hoshino

Spectral function in QED3

19 pages, RevTex4, fig.2 is corrected.Minor change in section III.equation numbers are corrected

null

hep-th

null

We discuss the structure of the dressed fermion propagator in unquenched QED3 based on spectral function of photon.In this approximation infrared divergences that appeared in quenched case turns out to be soft.The dimension full coupling constant naturally appears as an infrared mass scale in this case.We find the reliable results for the effects of vacuum polarization for the dressed fermion propagator.The lowest order fermion spectral function has logarithmically divergent Coulomb energy as well as self-energy,whch plays the role of confinement and dynamical mass generation.In our model finiteness condition of vacuum expectation value is equivalent to choose the scale of physical mass which is expected in the 1/N approximation.

[ { "created": "Wed, 14 Dec 2005 00:40:18 GMT", "version": "v1" }, { "created": "Mon, 3 Apr 2006 06:17:34 GMT", "version": "v2" } ]

2007-05-23

[ [ "Hoshino", "Yuichi", "" ] ]

We discuss the structure of the dressed fermion propagator in unquenched QED3 based on spectral function of photon.In this approximation infrared divergences that appeared in quenched case turns out to be soft.The dimension full coupling constant naturally appears as an infrared mass scale in this case.We find the reliable results for the effects of vacuum polarization for the dressed fermion propagator.The lowest order fermion spectral function has logarithmically divergent Coulomb energy as well as self-energy,whch plays the role of confinement and dynamical mass generation.In our model finiteness condition of vacuum expectation value is equivalent to choose the scale of physical mass which is expected in the 1/N approximation.

19.422525

19.653811

18.848373

18.357401

19.202528

21.137117

18.193443

20.877996

20.45022

21.194843

20.293787

19.228447

17.906069

17.797569

18.55472

19.204262

19.388664

19.23378

18.960377

17.788696

19.095253

hep-th/9906056

Marcus Spradlin

Jeremy Michelson and Marcus Spradlin

Supergravity spectrum on AdS_2 x S^2

20 pages, 1 figure. Typos corrected, references updated

JHEP 9909:029,1999

10.1088/1126-6708/1999/09/029

HUTP-99/A031

hep-th

null

The Kaluza-Klein spectrum of N=2, D=4 supergravity compactified on AdS_2 x S^2 is found and shown to consist of two infinite towers of SU(1,1|2) representations. In addition to `pure gauge' modes living on the boundary of AdS which are familiar from higher dimensional cases, in two dimensions there are modes (e.g. massive gravitons) which enjoy no gauge symmetry yet nevertheless have no on-shell degrees of freedom in the bulk. We discuss these two-dimensional subtleties in detail.

[ { "created": "Mon, 7 Jun 1999 23:30:57 GMT", "version": "v1" }, { "created": "Tue, 8 Jun 1999 01:52:15 GMT", "version": "v2" }, { "created": "Thu, 2 Sep 1999 16:35:15 GMT", "version": "v3" } ]

2010-02-03

[ [ "Michelson", "Jeremy", "" ], [ "Spradlin", "Marcus", "" ] ]

The Kaluza-Klein spectrum of N=2, D=4 supergravity compactified on AdS_2 x S^2 is found and shown to consist of two infinite towers of SU(1,1|2) representations. In addition to `pure gauge' modes living on the boundary of AdS which are familiar from higher dimensional cases, in two dimensions there are modes (e.g. massive gravitons) which enjoy no gauge symmetry yet nevertheless have no on-shell degrees of freedom in the bulk. We discuss these two-dimensional subtleties in detail.

8.161278

7.354064

8.39984

6.797922

7.298094

7.802206

8.301041

8.166327

7.412269

8.492544

7.123058

7.330929

7.971728

7.140367

7.215733

7.273868

7.043706

7.204

7.253557

7.789774

6.921711

1903.00079

Peter Merkx

Peter R. Merkx

Pairing 6D SCFTs

27 pages; updates include: typo fixes, presentation/organization edits, corrected endpoint extrapolations and notes on relation with endpoint pairing

null

hep-th math.AG

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

In this note, we discuss families of orbifolds underlying 6D SCFT F-theory models and find a novel pairing structure in the SCFT landscape. Inspection of the rational functions defining models with a common F-theory endpoint leads us to naturally to pair them and find compatible extended groupings matching endpoint collections recently characterized in correspondence with homomorphisms of the ADE subgroups of $SU(2)$ into $E_8.$ We confirm this proposed pairing closely links the proposed SCFT family pairs via explicit computation of gauge algebras. We find these typically pair precisely by a fixed additional gauge summand. The underlying $\mathbb{C}^2$ orbifold pairing is distinct from the lattice/overlattice orbifold duality which lacks closure on the set of SCFT endpoints. The previously established partial order on endpoints is respected by this pairing as is the distinguished role of certain theories allowing M5-brane fraction reassembly which appear here as self-dual endpoints. This duality manifests in the known tower structure of endpoints to a mirror in a tower below which we show exists naturally as an infinite chain of endpoints extrapolated to negative valuations of the rational functions defining endpoints. We also detail a related simple combinatorial prescription for all rational functions defining endpoint families.

[ { "created": "Thu, 28 Feb 2019 21:45:30 GMT", "version": "v1" }, { "created": "Sat, 21 Sep 2019 07:20:35 GMT", "version": "v2" } ]

2019-09-24

[ [ "Merkx", "Peter R.", "" ] ]

In this note, we discuss families of orbifolds underlying 6D SCFT F-theory models and find a novel pairing structure in the SCFT landscape. Inspection of the rational functions defining models with a common F-theory endpoint leads us to naturally to pair them and find compatible extended groupings matching endpoint collections recently characterized in correspondence with homomorphisms of the ADE subgroups of $SU(2)$ into $E_8.$ We confirm this proposed pairing closely links the proposed SCFT family pairs via explicit computation of gauge algebras. We find these typically pair precisely by a fixed additional gauge summand. The underlying $\mathbb{C}^2$ orbifold pairing is distinct from the lattice/overlattice orbifold duality which lacks closure on the set of SCFT endpoints. The previously established partial order on endpoints is respected by this pairing as is the distinguished role of certain theories allowing M5-brane fraction reassembly which appear here as self-dual endpoints. This duality manifests in the known tower structure of endpoints to a mirror in a tower below which we show exists naturally as an infinite chain of endpoints extrapolated to negative valuations of the rational functions defining endpoints. We also detail a related simple combinatorial prescription for all rational functions defining endpoint families.

30.523367

35.500988

33.526127

32.112885

35.091557

34.150944

32.775444

33.887623

32.186886

39.776333

30.720409

32.069664

30.194708

30.059248

30.721203

29.781214

30.040792

29.324839

30.621349

31.327883

28.991404

1904.07286

Naveen Prabhakar

Anshuman Dey, Indranil Halder, Sachin Jain, Shiraz Minwalla, Naveen Prabhakar

The large $N$ phase diagram of ${\cal N}=2$ $SU(N)$ Chern-Simons theory with one fundamental chiral multiplet

45 + 38 pages, 29 figures; typos corrected, more details in section 5

null

10.1007/JHEP11(2019)113

TIFR/TH/19-10

hep-th

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

We study the theory of a single fundamental fermion and boson coupled to Chern-Simons theory at leading order in the large $N$ limit. Utilizing recent progress in understanding the Higgsed phase in Chern-Simons-Matter theories, we compute the quantum effective potential that is exact to all orders in the 't Hooft coupling for the lightest scalar operator of this theory at finite temperature. Specializing to the zero temperature limit we use this potential to determine the phase diagram of the large $N$ ${\cal N}=2$ supersymmetric theory with this field content. This intricate two dimensional phase diagram has four topological phases that are separated by lines of first and second order phase transitions and includes special conformal points at which the infrared dynamics is governed by Chern-Simons theory coupled respectively to free bosons, Gross-Neveu fermions, and to a theory of Wilson-Fisher bosons plus free fermions. We also describe the vacuum structure of the most general ${\cal N} = 1$ supersymmetric theory with one fundamental boson and one fundamental fermion coupled to an $SU(N)$ Chern-Simons gauge field, at arbitrary values of the 't Hooft coupling.

[ { "created": "Mon, 15 Apr 2019 18:47:23 GMT", "version": "v1" }, { "created": "Sun, 4 Aug 2019 10:39:30 GMT", "version": "v2" } ]

2020-01-29

[ [ "Dey", "Anshuman", "" ], [ "Halder", "Indranil", "" ], [ "Jain", "Sachin", "" ], [ "Minwalla", "Shiraz", "" ], [ "Prabhakar", "Naveen", "" ] ]

We study the theory of a single fundamental fermion and boson coupled to Chern-Simons theory at leading order in the large $N$ limit. Utilizing recent progress in understanding the Higgsed phase in Chern-Simons-Matter theories, we compute the quantum effective potential that is exact to all orders in the 't Hooft coupling for the lightest scalar operator of this theory at finite temperature. Specializing to the zero temperature limit we use this potential to determine the phase diagram of the large $N$ ${\cal N}=2$ supersymmetric theory with this field content. This intricate two dimensional phase diagram has four topological phases that are separated by lines of first and second order phase transitions and includes special conformal points at which the infrared dynamics is governed by Chern-Simons theory coupled respectively to free bosons, Gross-Neveu fermions, and to a theory of Wilson-Fisher bosons plus free fermions. We also describe the vacuum structure of the most general ${\cal N} = 1$ supersymmetric theory with one fundamental boson and one fundamental fermion coupled to an $SU(N)$ Chern-Simons gauge field, at arbitrary values of the 't Hooft coupling.

6.409203

6.317918

6.902589

6.132977

6.399433

6.297581

6.199457

6.054725

6.178878

7.570668

5.985781

6.079354

6.413808

6.07127

6.08916

5.824975

6.103284

6.092335

6.165531

6.334517

5.942108

1501.04481

Runqiu Yang

Rong-Gen Cai, Run-Qiu Yang and F.V. Kusmartsev

Holographic model for antiferromagnetic quantum phase transition induced by magnetic field

published versions in PRD

Phys. Rev. D 92, 086001 (2015)

10.1103/PhysRevD.92.086001

null

hep-th gr-qc

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

We propose a gravity dual of antiferromagnetic quantum phase transition (QPT) induced by magnetic field and study the critical behavior around the quantum critical point (QCP). It turns out that the boundary critical theory is a strong coupling theory with dynamic exponent $z=2$ and that the hyperscaling law is violated and logarithmic corrections appear near the QCP. Some novel scaling relations are predicated, which can be tested by experiment data in future. We also make some comparison with experimental data on low-dimensional magnets BiCoPO$_5$ and pyrochlores Er$_{2-2x}$Y$_{2x}$Ti$_2$O$_7$.

[ { "created": "Mon, 19 Jan 2015 13:11:39 GMT", "version": "v1" }, { "created": "Fri, 9 Oct 2015 14:51:11 GMT", "version": "v2" } ]

2015-10-14

[ [ "Cai", "Rong-Gen", "" ], [ "Yang", "Run-Qiu", "" ], [ "Kusmartsev", "F. V.", "" ] ]

We propose a gravity dual of antiferromagnetic quantum phase transition (QPT) induced by magnetic field and study the critical behavior around the quantum critical point (QCP). It turns out that the boundary critical theory is a strong coupling theory with dynamic exponent $z=2$ and that the hyperscaling law is violated and logarithmic corrections appear near the QCP. Some novel scaling relations are predicated, which can be tested by experiment data in future. We also make some comparison with experimental data on low-dimensional magnets BiCoPO$_5$ and pyrochlores Er$_{2-2x}$Y$_{2x}$Ti$_2$O$_7$.

7.91137

7.556478

8.850235

7.520853

6.565838

6.855299

6.803188

6.966251

6.92737

9.728516

7.206707

7.559749

7.713546

7.482978

7.703462

7.597215

7.613636

7.292174

7.377483

8.174756

7.417831

1002.1373

Bhabani Prasad Mandal Dr

Sudhaker Upadhyay, Sumit Kumar Rai, Bhabani Prasad Mandal (BHU)

Off-shell nilpotent finite BRST/anti-BRST transformations

29 Pages, No figs., revtex

J. Math. Phys. 52, 022301 (2011);

10.1063/1.3545970

null

hep-th

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

We develop the off-shell nilpotent finite field dependent BRST transformations and show that for different choices of the finite field dependent parameter these connect the generating functionals corresponding to different effective theories. We also construct both on-shell and off-shell finite field dependent anti-BRST tranformations for Yang Mills theories and show that these transformations play the similar role in connecting different generating functionals of different effective theories. Analogous to the finite field dependent BRST transformations, the non-trivial Jacobians of the path integral measure which arise due to the finite field dependent anti-BRST transformations are responsible for the new results. We consider several explicit examples in each case to demonstrate the results.

[ { "created": "Sat, 6 Feb 2010 12:05:23 GMT", "version": "v1" } ]

2011-08-04

[ [ "Upadhyay", "Sudhaker", "", "BHU" ], [ "Rai", "Sumit Kumar", "", "BHU" ], [ "Mandal", "Bhabani Prasad", "", "BHU" ] ]

We develop the off-shell nilpotent finite field dependent BRST transformations and show that for different choices of the finite field dependent parameter these connect the generating functionals corresponding to different effective theories. We also construct both on-shell and off-shell finite field dependent anti-BRST tranformations for Yang Mills theories and show that these transformations play the similar role in connecting different generating functionals of different effective theories. Analogous to the finite field dependent BRST transformations, the non-trivial Jacobians of the path integral measure which arise due to the finite field dependent anti-BRST transformations are responsible for the new results. We consider several explicit examples in each case to demonstrate the results.

8.339683

7.637124

8.391627

7.167901

7.564182

7.018348

7.096431

7.192831

6.623263

9.923259

7.09666

7.729286

8.660674

7.859385

8.078297

7.499063

7.913817

7.499484

7.800719

8.453331

7.77155

0805.4270

Gaurang Mahajan

Particle creation in a time-dependent electric field revisited

RevTeX 4; 9 pages; 4 figures

Annals Phys.324:361-370,2009

10.1016/j.aop.2008.10.012

null

hep-th gr-qc quant-ph

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

We adopt the general formalism for analyzing evolution of gaussian states of quantized fields in time-dependent backgrounds in the Schrodinger picture (presented in detail in arXiv:0708.1233 and 0708.1237) to study the example of a spatially uniform electric field background (in a time-dependent gauge) which is kept turned on for a finite duration of time. In particular, we study the \emph{time-dependent} particle content, defined in terms of the concept of instantaneous eigenstates, and describe how it captures the time evolution of the quantized field modes. The actual particle creation process occurs over a relatively short interval in time, and the particle content saturates rather quickly. We also compare the \emph{power spectrum} of the field modes, computed in the asymptotic limit, with the corresponding situation in a cosmological de Sitter background. Particle creation under the influence of a spiked electric field localized in time, as a particular limiting case of the above general model, is also considered.

[ { "created": "Wed, 28 May 2008 06:59:24 GMT", "version": "v1" } ]

2009-02-23

[ [ "Mahajan", "Gaurang", "" ] ]

We adopt the general formalism for analyzing evolution of gaussian states of quantized fields in time-dependent backgrounds in the Schrodinger picture (presented in detail in arXiv:0708.1233 and 0708.1237) to study the example of a spatially uniform electric field background (in a time-dependent gauge) which is kept turned on for a finite duration of time. In particular, we study the \emph{time-dependent} particle content, defined in terms of the concept of instantaneous eigenstates, and describe how it captures the time evolution of the quantized field modes. The actual particle creation process occurs over a relatively short interval in time, and the particle content saturates rather quickly. We also compare the \emph{power spectrum} of the field modes, computed in the asymptotic limit, with the corresponding situation in a cosmological de Sitter background. Particle creation under the influence of a spiked electric field localized in time, as a particular limiting case of the above general model, is also considered.

10.748202

11.354396

10.585172

9.82624

10.095109

11.240612

10.814695

10.198689

10.130543

11.172885

9.851932

9.791902

10.287603

10.098934

9.968459

10.201707

10.123579

9.969042

10.005564

10.177474

9.965558

2402.13311

Simon Schreyer

Higher order corrections to KPV: The nonabelian brane stack perspective

29 pages, 5 figures v2: version accepted for publication in JHEP

null

hep-th

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

In this work, we study the decay of $\overline{D3}$-branes in the setup of Kachru, Pearson, and Verlinde (KPV) at higher order in $\alpha'$ from the perspective of a nonabelian $\overline{D3}$-brane stack. We extend the leading order analysis of KPV by including higher order commutators as well as higher derivative corrections. Recently, the KPV setup has been studied at higher order in $\alpha'$ from the NS5-brane perspective. It was found that in order to control $\alpha'$ corrections the quantity $g_sM^2$ determining the amount of warping in the Klebanov-Strassler throat has to be much larger than expected. This leads to serious issues when using the $\overline{D3}$-branes as an uplift to dS. The benefit of the analysis in this work is that the $\overline{D3}$-brane perspective is controlled when the distance between the branes inside the brane stack is substringy which is a regime not controlled on the NS5-brane side. As a main result, we find that the strong bound $g_sM^2\sim \mathcal{O}(100)$ obtained on the NS5-brane also holds in the regime accessible from the $\overline{D3}$-brane perspective. We also show that the novel way of uplifting proposed in the recent work on $\alpha'$ corrections to the KPV setup can only work for small warped throats.

[ { "created": "Tue, 20 Feb 2024 19:00:00 GMT", "version": "v1" }, { "created": "Thu, 13 Jun 2024 07:59:20 GMT", "version": "v2" } ]

2024-06-14

[ [ "Schreyer", "Simon", "" ] ]

In this work, we study the decay of $\overline{D3}$-branes in the setup of Kachru, Pearson, and Verlinde (KPV) at higher order in $\alpha'$ from the perspective of a nonabelian $\overline{D3}$-brane stack. We extend the leading order analysis of KPV by including higher order commutators as well as higher derivative corrections. Recently, the KPV setup has been studied at higher order in $\alpha'$ from the NS5-brane perspective. It was found that in order to control $\alpha'$ corrections the quantity $g_sM^2$ determining the amount of warping in the Klebanov-Strassler throat has to be much larger than expected. This leads to serious issues when using the $\overline{D3}$-branes as an uplift to dS. The benefit of the analysis in this work is that the $\overline{D3}$-brane perspective is controlled when the distance between the branes inside the brane stack is substringy which is a regime not controlled on the NS5-brane side. As a main result, we find that the strong bound $g_sM^2\sim \mathcal{O}(100)$ obtained on the NS5-brane also holds in the regime accessible from the $\overline{D3}$-brane perspective. We also show that the novel way of uplifting proposed in the recent work on $\alpha'$ corrections to the KPV setup can only work for small warped throats.

6.315134

6.034268

6.779907

6.085065

6.71252

6.018579

5.989086

6.070636

6.241035

7.00585

6.05621

6.014528

6.20739

6.209744

6.219483

5.915249

6.226128

6.027591

6.287251

6.493224

6.098229

1912.02773

Marcus Sperling

Santiago Cabrera, Amihay Hanany, Marcus Sperling

Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups

v2: 32 pages, 6 tables, 1 figure, added explanation of Hasse diagrams, typos corrected, matches JHEP version

null

10.1007/JHEP02(2020)184

Imperial/TP/19/AH/05

hep-th

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

M5 branes on a D-type ALE singularity display various phenomena that introduce additional massless degrees of freedom. The M5 branes are known to fractionate on a D-type singularity. Whenever two fractional M5 branes coincide, tensionless strings arise. Therefore, these systems do not admit a low-energy Lagrangian description. Focusing on the 6-dimensional N=(1,0) world-volume theories on the M5 branes, the vacuum moduli space has two branches were either the scalar fields in the tensor multiplet or the scalars in the hypermultiplets acquire a non-trivial vacuum expectation value. As suggested in previous work, the Higgs branch may change drastically whenever a BPS-string becomes tensionless. Recently, magnetic quivers have been introduced with the aim to capture all Higgs branches over any point of the tensor branch. In this paper, the formalism is extended to Type IIA brane configurations involving O6 planes. Since the 6d N=(1,0) theories are composed of orthosymplectic gauge groups, the derivation rules for the magnetic quiver in the presence of O6 planes have to be conjectured. This is achieved by analysing the 6d theories for a single M5 brane on a D-type singularity and deriving the magnetic quivers for the finite and infinite gauge coupling Higgs branch from a brane configuration. The validity of the proposed derivation rules is underpinned by deriving the associated Hasse diagram. For multiple M5 branes, the approach of this paper provides magnetic quivers for all Higgs branches over any point of the tensor branch. In particular, an interesting infinite gauge coupling transition is found that is related to the SO(8) non-Higgsable cluster.

[ { "created": "Thu, 5 Dec 2019 18:13:17 GMT", "version": "v1" }, { "created": "Tue, 3 Mar 2020 04:25:50 GMT", "version": "v2" } ]

2020-03-04

[ [ "Cabrera", "Santiago", "" ], [ "Hanany", "Amihay", "" ], [ "Sperling", "Marcus", "" ] ]

M5 branes on a D-type ALE singularity display various phenomena that introduce additional massless degrees of freedom. The M5 branes are known to fractionate on a D-type singularity. Whenever two fractional M5 branes coincide, tensionless strings arise. Therefore, these systems do not admit a low-energy Lagrangian description. Focusing on the 6-dimensional N=(1,0) world-volume theories on the M5 branes, the vacuum moduli space has two branches were either the scalar fields in the tensor multiplet or the scalars in the hypermultiplets acquire a non-trivial vacuum expectation value. As suggested in previous work, the Higgs branch may change drastically whenever a BPS-string becomes tensionless. Recently, magnetic quivers have been introduced with the aim to capture all Higgs branches over any point of the tensor branch. In this paper, the formalism is extended to Type IIA brane configurations involving O6 planes. Since the 6d N=(1,0) theories are composed of orthosymplectic gauge groups, the derivation rules for the magnetic quiver in the presence of O6 planes have to be conjectured. This is achieved by analysing the 6d theories for a single M5 brane on a D-type singularity and deriving the magnetic quivers for the finite and infinite gauge coupling Higgs branch from a brane configuration. The validity of the proposed derivation rules is underpinned by deriving the associated Hasse diagram. For multiple M5 branes, the approach of this paper provides magnetic quivers for all Higgs branches over any point of the tensor branch. In particular, an interesting infinite gauge coupling transition is found that is related to the SO(8) non-Higgsable cluster.

8.527683

7.91668

9.980879

7.643981

7.899215

7.938976

7.705219

7.85873

7.479922

10.570527

7.635578

7.975084

8.688712

7.804864

7.926622

8.007219

8.05005

8.000706

8.32862

8.714909

8.143674

1504.08007

David Broadhurst

Tests of conjectures on multiple Watson values

7 pages

null

hep-th math.NT

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

I define multiple Watson values (MWVs) as iterated integrals, on the interval $x\in[0,1]$, of the 6 differential forms $A=d\log(x)$, $B=-d\log(1-x)$, $T=-d\log(1-z_1x)$, $U=-d\log(1-z_2x)$, $V=-d\log(1-z_3x)$ and $W=-d\log(1-z_4x)$, where $z_1=\gamma^2$, $z_2=\gamma/(1+\gamma)$, $z_3=\gamma^2/(1-\gamma)$ and $z_4=\gamma=2\sin(\pi/14)$ solves the cubic $(1-\gamma^2)(1-\gamma)=\gamma$. Following a suggestion by Pierre Deligne, I conjecture that the dimension of the space of ${\mathbb Z}$-linearly independent MWVs of weight $w$ is the number $D_w$ generated by $1/(1-2x-x^2-x^3)=1+\sum_{w>0}D_w x^w$. This agrees with 6639 integer relation searches, of dimensions up to $D_5+1=85$, performed at 2000-digit precision, for $w<6$.

[ { "created": "Wed, 29 Apr 2015 20:15:32 GMT", "version": "v1" } ]

2015-05-01

[ [ "Broadhurst", "David", "" ] ]

I define multiple Watson values (MWVs) as iterated integrals, on the interval $x\in[0,1]$, of the 6 differential forms $A=d\log(x)$, $B=-d\log(1-x)$, $T=-d\log(1-z_1x)$, $U=-d\log(1-z_2x)$, $V=-d\log(1-z_3x)$ and $W=-d\log(1-z_4x)$, where $z_1=\gamma^2$, $z_2=\gamma/(1+\gamma)$, $z_3=\gamma^2/(1-\gamma)$ and $z_4=\gamma=2\sin(\pi/14)$ solves the cubic $(1-\gamma^2)(1-\gamma)=\gamma$. Following a suggestion by Pierre Deligne, I conjecture that the dimension of the space of ${\mathbb Z}$-linearly independent MWVs of weight $w$ is the number $D_w$ generated by $1/(1-2x-x^2-x^3)=1+\sum_{w>0}D_w x^w$. This agrees with 6639 integer relation searches, of dimensions up to $D_5+1=85$, performed at 2000-digit precision, for $w<6$.

5.795414

5.578833

6.470455

5.129112

5.9452

5.532539

5.552263

5.172627

5.36537

6.484791

5.327156

5.302807

5.66648

5.285316

5.242763

5.459766

5.546845

5.311304

5.470592

5.87004

5.447384

hep-th/0512110

Mikhail V. Ioffe

F. Cannata, M.V. Ioffe, D.N. Nishnianidze

Exactly Solvable Two-Dimensional Complex Model with Real Spectrum

13 pages

Theor.Math.Phys.148:960-967,2006; Teor.Mat.Fiz.148:102-111,2006

null

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

null

Supersymmetrical intertwining relations of second order in derivatives allow to construct a two-dimensional quantum model with complex potential, for which {\it all} energy levels and bound state wave functions are obtained analytically. This model {\it is not amenable} to separation of variables, and it can be considered as a specific complexified version of generalized two-dimensional Morse model with additional $\sinh^{-2}$ term. The energy spectrum of the model is proved to be purely real. To our knowledge, this is a rather rare example of a nontrivial exactly solvable model in two dimensions. The symmetry operator is found, the biorthogonal basis is described, and the pseudo-Hermiticity of the model is demonstrated. The obtained wave functions are found to be common eigenfunctions both of the Hamiltonian and of the symmetry operator.

[ { "created": "Fri, 9 Dec 2005 18:13:33 GMT", "version": "v1" } ]

2008-11-26

[ [ "Cannata", "F.", "" ], [ "Ioffe", "M. V.", "" ], [ "Nishnianidze", "D. N.", "" ] ]

Supersymmetrical intertwining relations of second order in derivatives allow to construct a two-dimensional quantum model with complex potential, for which {\it all} energy levels and bound state wave functions are obtained analytically. This model {\it is not amenable} to separation of variables, and it can be considered as a specific complexified version of generalized two-dimensional Morse model with additional $\sinh^{-2}$ term. The energy spectrum of the model is proved to be purely real. To our knowledge, this is a rather rare example of a nontrivial exactly solvable model in two dimensions. The symmetry operator is found, the biorthogonal basis is described, and the pseudo-Hermiticity of the model is demonstrated. The obtained wave functions are found to be common eigenfunctions both of the Hamiltonian and of the symmetry operator.

9.112975

8.192966

9.513499

8.014756

8.483198

8.046792

7.932787

7.787457

7.931028

9.697457

8.063155

8.268579

8.845619

8.216329

8.45472

8.554155

8.61439

8.47805

8.047984

8.851761

8.131124

hep-th/0402213

Roberto Auzzi

Roberto Auzzi and Roberto Grena

Superconformal Vacua in N=2 Usp(4) Gauge Theories

18 pages, 5 figures

null

IFUP-TH/2004-04

hep-th

null

We study the dynamics of a confining vacuum in N=2 USp(4) gauge theory with n_f=4. The vacuum appears to be a deformed conformal theory with nonabelian gauge symmetry. The low-energy degrees of freedom consist of four nonabelian magnetic monopole doublets of the effective SU(2) colour group, two dyon doublets and one electric doublet. In this description the flavour quantum number is carried only by the monopoles. We argue that confinement is caused by the condensation of these monopoles, and involves strongly interacting nonabelian degrees of freedom.

[ { "created": "Thu, 26 Feb 2004 11:07:02 GMT", "version": "v1" } ]

2007-05-23

[ [ "Auzzi", "Roberto", "" ], [ "Grena", "Roberto", "" ] ]

We study the dynamics of a confining vacuum in N=2 USp(4) gauge theory with n_f=4. The vacuum appears to be a deformed conformal theory with nonabelian gauge symmetry. The low-energy degrees of freedom consist of four nonabelian magnetic monopole doublets of the effective SU(2) colour group, two dyon doublets and one electric doublet. In this description the flavour quantum number is carried only by the monopoles. We argue that confinement is caused by the condensation of these monopoles, and involves strongly interacting nonabelian degrees of freedom.

10.280543

9.312921

10.846043

9.143465

9.277565

9.3815

9.42562

8.639541

9.007091

10.618958

8.990752

8.818009

10.170203

9.20936

9.435482

9.256742

9.005798

8.932386

9.396393

10.000708

8.715846

2306.08969

Claudio Gambino

Massimo Bianchi, Claudio Gambino and Fabio Riccioni

A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections

36 pages, 7 figures. v2: typos corrected and refs added. Version published on JHEP

JHEP 08 (2023) 188

10.1007/JHEP08(2023)188

null

hep-th

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

By exploiting the Kerr-Schild gauge, we study the scattering of a massive (charged) scalar off a Kerr-Newman black hole. In this gauge, the interactions between the probe and the target involve only tri-linear vertices. We manage to write down the tree-level scattering amplitudes in analytic form, from which we can construct an expression for the eikonal phase which is exact in the spin of the black hole at arbitrary order in the Post-Minkowskian expansion. We compute the classical contribution to the cross-section and deflection angle at leading order for a Kerr black hole for arbitrary orientation of the spin. Finally, we test our method by reproducing the classical amplitude for a Schwarzschild black hole at second Post-Minkowskian order and outline how to extend the analysis to the Kerr-Newman case.

[ { "created": "Thu, 15 Jun 2023 09:05:35 GMT", "version": "v1" }, { "created": "Mon, 4 Sep 2023 08:53:05 GMT", "version": "v2" } ]

2023-09-06

[ [ "Bianchi", "Massimo", "" ], [ "Gambino", "Claudio", "" ], [ "Riccioni", "Fabio", "" ] ]

By exploiting the Kerr-Schild gauge, we study the scattering of a massive (charged) scalar off a Kerr-Newman black hole. In this gauge, the interactions between the probe and the target involve only tri-linear vertices. We manage to write down the tree-level scattering amplitudes in analytic form, from which we can construct an expression for the eikonal phase which is exact in the spin of the black hole at arbitrary order in the Post-Minkowskian expansion. We compute the classical contribution to the cross-section and deflection angle at leading order for a Kerr black hole for arbitrary orientation of the spin. Finally, we test our method by reproducing the classical amplitude for a Schwarzschild black hole at second Post-Minkowskian order and outline how to extend the analysis to the Kerr-Newman case.

8.467988

8.16277

7.829803

7.484322

7.416162

6.877427

7.785439

7.40554

7.555808

8.600671

7.243881

7.279803

7.829383

7.584829

7.758312

7.385598

7.14407

7.624135

7.51698

8.145441

7.309214

hep-th/9304041

null

I.V.Volovich

Affine Strings

9 pages, SMI-2-93

Mod.Phys.Lett. A8 (1993) 1827-1834

10.1142/S0217732393001550

null

hep-th

null

A new model of bosonic strings is considered. An action of the model is the sum of the standard string action and a term describing an interaction of a metric with a linear (affine) connection. The Lagrangian of this interaction is an arbitrary analytic function $f(R)$ of the scalar curvature. This is a classically integrable model. The space of classical solutions of the theory consists from sectors with constant curvature. In each sector the equations of motion reduce to the standard string equations and to an additional constant curvature equation for the linear connection. A bifurcation in the space of all Lagrangians takes place. Quantization of the model is briefly discussed. In a quasiclassical approximation one gets the standard string model with a fluctuating cosmological constant. The Lagrangian $f(R)$, like Morse function, governs transitions between manifolds with different topologies.

[ { "created": "Fri, 9 Apr 1993 11:21:00 GMT", "version": "v1" } ]

2019-06-05

[ [ "Volovich", "I. V.", "" ] ]

A new model of bosonic strings is considered. An action of the model is the sum of the standard string action and a term describing an interaction of a metric with a linear (affine) connection. The Lagrangian of this interaction is an arbitrary analytic function $f(R)$ of the scalar curvature. This is a classically integrable model. The space of classical solutions of the theory consists from sectors with constant curvature. In each sector the equations of motion reduce to the standard string equations and to an additional constant curvature equation for the linear connection. A bifurcation in the space of all Lagrangians takes place. Quantization of the model is briefly discussed. In a quasiclassical approximation one gets the standard string model with a fluctuating cosmological constant. The Lagrangian $f(R)$, like Morse function, governs transitions between manifolds with different topologies.

8.629498

8.751993

8.728043

7.718

8.911951

7.821206

8.273991

8.087616

7.902001

8.577048

7.854012

8.167851

8.008834

8.046848

7.821864

7.865423

7.977911

7.915572

7.93569

7.929622

7.886105

1807.01483

Ardian Nata Atmaja

Searching for BPS Vortices with Nonzero Stress Tensor in Generalized Born-Infeld-Higgs Model

29 pages, minor changes

null

hep-th math-ph math.MP

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

In this article we show that the new BPS equations for vortices, with nonzero diagonal components of the stress tensor, obtained in \cite{Atmaja:2015lia} for the generalized Maxwell-Higgs model can also be derived using the BPS Lagrangian method developed in \cite{Atmaja:2015umo}. We add into the original BPS Lagrangian $L_{BPS}=\int dQ$, which is a total derivative term, two additional terms that are proportional to square of the first-derivative of scalar effective field, $f'(r)^2$, and to a function that depends only on the scalar effective field. These additional terms produce additional constraint equations coming from Euler-Lagrange equations of the BPS Lagrangian. We apply this procedure for the generalized Born-Infeld-Higgs model and show that the total static energy, for the corresponding BPS equations, is finite if the scalar potential $V< 2b^2$, with $b$ is the Born-Infeld parameter. We also compute the energy-momentum tensor and show that its diagonal spatial components in radial and angular directions are nonzero. Furthermore we show that the conservation of energy-momentum does not produce new constraint equation. We do the numerical analysis and found that for a large class of solutions the scalar and gauge effective fields, $f(r)$ and $a(r)$, behave nicely near the origin, but unfortunately they are infinite near the boundary. We suggest that incorporate gravity into the action might resolve this problem and other resolution is by considering BPS vortex in higher dimensional models. We also suggest that the BPS Lagrangian method could be used to find BPS equations for other solitons with nonzero stress tensor.

[ { "created": "Wed, 4 Jul 2018 08:39:22 GMT", "version": "v1" }, { "created": "Sat, 8 Dec 2018 18:28:23 GMT", "version": "v2" }, { "created": "Tue, 30 Jul 2019 14:46:30 GMT", "version": "v3" } ]

2019-07-31

[ [ "Atmaja", "Ardian Nata", "" ] ]

In this article we show that the new BPS equations for vortices, with nonzero diagonal components of the stress tensor, obtained in \cite{Atmaja:2015lia} for the generalized Maxwell-Higgs model can also be derived using the BPS Lagrangian method developed in \cite{Atmaja:2015umo}. We add into the original BPS Lagrangian $L_{BPS}=\int dQ$, which is a total derivative term, two additional terms that are proportional to square of the first-derivative of scalar effective field, $f'(r)^2$, and to a function that depends only on the scalar effective field. These additional terms produce additional constraint equations coming from Euler-Lagrange equations of the BPS Lagrangian. We apply this procedure for the generalized Born-Infeld-Higgs model and show that the total static energy, for the corresponding BPS equations, is finite if the scalar potential $V< 2b^2$, with $b$ is the Born-Infeld parameter. We also compute the energy-momentum tensor and show that its diagonal spatial components in radial and angular directions are nonzero. Furthermore we show that the conservation of energy-momentum does not produce new constraint equation. We do the numerical analysis and found that for a large class of solutions the scalar and gauge effective fields, $f(r)$ and $a(r)$, behave nicely near the origin, but unfortunately they are infinite near the boundary. We suggest that incorporate gravity into the action might resolve this problem and other resolution is by considering BPS vortex in higher dimensional models. We also suggest that the BPS Lagrangian method could be used to find BPS equations for other solitons with nonzero stress tensor.

8.671951

8.392065

8.776183

8.06064

8.24817

8.744335

8.695408

8.4306

7.955682

9.684958

8.146895

7.9835

8.404604

8.183806

8.276562

8.073095

7.952439

8.239574

8.32385

8.490248

8.221129

1107.2388

I\~naki Garc\'ia-Etxebarria

Mirjam Cveti\v{c}, I\~naki Garc\'ia-Etxebarria, James Halverson

Three Looks at Instantons in F-theory -- New Insights from Anomaly Inflow, String Junctions and Heterotic Duality

46 pages. v2: Fixed typos, added refs

null

10.1007/JHEP11(2011)101

UPR-1230-T

hep-th

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

We discuss the physics of zero modes of ED3/M5 instantons at strong coupling from three different viewpoints. Motivated by an anomaly inflow argument, we give a prescription for describing neutral instanton modes in terms of string junctions, unifying the language with that used for charged modes. We proceed to discuss the physics of charged modes as we move between different points in the moduli space of F-theory compactified on K3. In particular, we show how, in going from the E6^3 point to the SO(8)^4 point, the structure of SO(8) zero modes arises from a non-trivial mixing of massless 27's of E6 with massive modes stretching between different E6 stacks. We observe a similar mixing in going from SO(8)^4 to E6^3. Finally, we see how the zeroes of some exact worldsheet instanton superpotentials in heterotic backgrounds preserving E6 symmetry admit a physical interpretation in terms of low energy physics. We also discuss the behavior of the dual F-theory compactification as the superpotential approaches a zero. An interesting observation is that in the examples we study some of the zeroes of the superpotential correspond to points of E8 enhancement in the worldvolume of the dual M5 instanton, and more generally from enhancements of the singularity over the worldvolume of the instanton.

[ { "created": "Tue, 12 Jul 2011 19:56:55 GMT", "version": "v1" }, { "created": "Mon, 31 Oct 2011 15:38:08 GMT", "version": "v2" } ]

2015-05-28

[ [ "Cvetič", "Mirjam", "" ], [ "García-Etxebarria", "Iñaki", "" ], [ "Halverson", "James", "" ] ]

We discuss the physics of zero modes of ED3/M5 instantons at strong coupling from three different viewpoints. Motivated by an anomaly inflow argument, we give a prescription for describing neutral instanton modes in terms of string junctions, unifying the language with that used for charged modes. We proceed to discuss the physics of charged modes as we move between different points in the moduli space of F-theory compactified on K3. In particular, we show how, in going from the E6^3 point to the SO(8)^4 point, the structure of SO(8) zero modes arises from a non-trivial mixing of massless 27's of E6 with massive modes stretching between different E6 stacks. We observe a similar mixing in going from SO(8)^4 to E6^3. Finally, we see how the zeroes of some exact worldsheet instanton superpotentials in heterotic backgrounds preserving E6 symmetry admit a physical interpretation in terms of low energy physics. We also discuss the behavior of the dual F-theory compactification as the superpotential approaches a zero. An interesting observation is that in the examples we study some of the zeroes of the superpotential correspond to points of E8 enhancement in the worldvolume of the dual M5 instanton, and more generally from enhancements of the singularity over the worldvolume of the instanton.

11.070721

11.829558

13.338151

10.593261

10.683569

11.336597

11.547185

10.984031

10.508706

14.303055

10.870805

10.839155

11.4529

10.464683

10.672544

10.934759

10.793875

10.304381

10.716876

11.603538

10.309284

1212.6919

Chethan Krishnan

Avik Chakraborty, Chethan Krishnan

Attraction, with Boundaries

22 pages, 2 figures

null

hep-th

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

We study the basin of attraction of static extremal black holes, in the concrete setting of the STU model. By finding a connection to a decoupled Toda-like system and solving it exactly, we find a simple way to characterize the attraction basin via competing behaviors of certain parameters. The boundaries of attraction arise in the various limits where these parameters degenerate to zero. We find that these boundaries are generalizations of the recently introduced (extremal) subtracted geometry: the warp factors still exhibit asymptotic integer power law behaviors, but the powers can be different from one. As we cross over one of these boundaries ("generalized subttractors"), the solutions turn unstable and start blowing up at finite radius and lose their asymptotic region. Our results are fully analytic, but we also solve a simpler theory where the attraction basin is lower dimensional and easy to visualize, and present a simple picture that illustrates many of the basic ideas.

[ { "created": "Mon, 31 Dec 2012 16:17:05 GMT", "version": "v1" } ]

2013-01-01

[ [ "Chakraborty", "Avik", "" ], [ "Krishnan", "Chethan", "" ] ]

We study the basin of attraction of static extremal black holes, in the concrete setting of the STU model. By finding a connection to a decoupled Toda-like system and solving it exactly, we find a simple way to characterize the attraction basin via competing behaviors of certain parameters. The boundaries of attraction arise in the various limits where these parameters degenerate to zero. We find that these boundaries are generalizations of the recently introduced (extremal) subtracted geometry: the warp factors still exhibit asymptotic integer power law behaviors, but the powers can be different from one. As we cross over one of these boundaries ("generalized subttractors"), the solutions turn unstable and start blowing up at finite radius and lose their asymptotic region. Our results are fully analytic, but we also solve a simpler theory where the attraction basin is lower dimensional and easy to visualize, and present a simple picture that illustrates many of the basic ideas.

19.325298

20.45439

21.452976

17.949356

19.671356

18.546099

21.731695

19.389318

17.611128

22.33707

18.214367

18.010553

18.506886

18.04236

17.920317

18.41814

17.91337

18.444584

17.214529

18.937792

17.987032

0706.0731

Alberto Iglesias

Jose J. Blanco-Pillado, Alberto Iglesias and Warren Siegel

On Semiclassical Limits of String States

12 pages

Phys.Lett.B655:284-289,2007

10.1016/j.physletb.2007.09.005

YITP-SB-07-01

hep-th

null

We explore the relation between classical and quantum states in both open and closed (super)strings discussing the relevance of coherent states as a semiclassical approximation. For the closed string sector a gauge-fixing of the residual world-sheet rigid translation symmetry of the light-cone gauge is needed for the construction to be possible. The circular target-space loop example is worked out explicitly.

[ { "created": "Tue, 5 Jun 2007 20:19:28 GMT", "version": "v1" } ]

2008-11-26

[ [ "Blanco-Pillado", "Jose J.", "" ], [ "Iglesias", "Alberto", "" ], [ "Siegel", "Warren", "" ] ]

We explore the relation between classical and quantum states in both open and closed (super)strings discussing the relevance of coherent states as a semiclassical approximation. For the closed string sector a gauge-fixing of the residual world-sheet rigid translation symmetry of the light-cone gauge is needed for the construction to be possible. The circular target-space loop example is worked out explicitly.

21.474516

18.057116

19.14502

17.56259

18.931936

20.608046

19.48399

17.742287

18.323677

23.987312

17.80442

18.4333

21.764107

18.293453

18.632675

18.942511

18.785023

18.364452

17.65134

21.306738

17.910267

1410.5243

Jun-Wang Lu

Ya-Bo Wu, Jun-Wang Lu, Wen-Xin Zhang, Cheng-Yuan Zhang, Jian-Bo Lu and Fang Yu

A holographic p-wave superfluid

Typos corrected;Published in Phys. Rev. D

Physical Review D 90, 126006 (2014)

10.1103/PhysRevD.90.126006

null

hep-th

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

In the probe limit, we numerically construct a holographic p-wave superfluid model in the 4D and 5D AdS black holes coupled to a Maxwell-complex vector field. We find that, for the condensate with the fixed superfluid velocity, the results are similar to the s-wave cases in both 4D and 5D spacetimes. In particular, "The Cave of Winds" and the phase transition always being the second order take place in the 5D case. Moreover, we find the second-first order translating point $\frac{S_y}{\mu}$ increases with the mass squared. Furthermore, for the supercurrent with the fixed temperature, the results agree with the GL prediction near the critical temperature. In addition, this complex vector superfluid model is still a generalization of the SU(2) superfluid model, and also provides a holographic realization of the $He_3$ superfluid system.

[ { "created": "Mon, 20 Oct 2014 12:18:36 GMT", "version": "v1" }, { "created": "Fri, 12 Dec 2014 11:32:38 GMT", "version": "v2" } ]

2014-12-15

[ [ "Wu", "Ya-Bo", "" ], [ "Lu", "Jun-Wang", "" ], [ "Zhang", "Wen-Xin", "" ], [ "Zhang", "Cheng-Yuan", "" ], [ "Lu", "Jian-Bo", "" ], [ "Yu", "Fang", "" ] ]

In the probe limit, we numerically construct a holographic p-wave superfluid model in the 4D and 5D AdS black holes coupled to a Maxwell-complex vector field. We find that, for the condensate with the fixed superfluid velocity, the results are similar to the s-wave cases in both 4D and 5D spacetimes. In particular, "The Cave of Winds" and the phase transition always being the second order take place in the 5D case. Moreover, we find the second-first order translating point $\frac{S_y}{\mu}$ increases with the mass squared. Furthermore, for the supercurrent with the fixed temperature, the results agree with the GL prediction near the critical temperature. In addition, this complex vector superfluid model is still a generalization of the SU(2) superfluid model, and also provides a holographic realization of the $He_3$ superfluid system.

12.322668

10.185235

11.722946

9.738634

9.915298

9.289993

9.827165

9.887214

9.836383

13.557531

9.83988

10.239374

10.840541

10.305327

10.511651

10.59066

10.544224

10.440248

10.407061

11.261253

10.500336

hep-th/9810021

Michael Dine

Michael Dine, Robert Echols and Joshua P. Gray

Tree Level Supergravity and the Matrix Model

19 pages latex

Nucl.Phys. B564 (2000) 225-240

null

Report No: SCIPP 98/32

hep-th

null

It has recently been shown that the Matrix model and supergravity give the same predictions for three graviton scattering. This contradicts an earlier claim in the literature (hep-th/9710174). We explain the error in this earlier work, and go on to show that certain terms in the $n$-graviton scattering amplitude involving $v^{2n}$ are given correctly by the Matrix model. The Matrix model also generates certain $v^6$ terms in four graviton scattering at three loops, which do not seem to have any counterparts in supergravity. The connection of these results with nonrenormalization theorems is discussed.

[ { "created": "Fri, 2 Oct 1998 23:37:08 GMT", "version": "v1" }, { "created": "Sat, 23 Jan 1999 00:28:58 GMT", "version": "v2" } ]

2007-05-23

[ [ "Dine", "Michael", "" ], [ "Echols", "Robert", "" ], [ "Gray", "Joshua P.", "" ] ]

It has recently been shown that the Matrix model and supergravity give the same predictions for three graviton scattering. This contradicts an earlier claim in the literature (hep-th/9710174). We explain the error in this earlier work, and go on to show that certain terms in the $n$-graviton scattering amplitude involving $v^{2n}$ are given correctly by the Matrix model. The Matrix model also generates certain $v^6$ terms in four graviton scattering at three loops, which do not seem to have any counterparts in supergravity. The connection of these results with nonrenormalization theorems is discussed.

8.122778

6.906582

7.676662

6.910058

6.947105

6.990227

6.719844

6.714202

6.877933

7.818397

6.789848

6.851234

7.36703

7.005272

7.002419

7.022307

6.816395

6.921882

6.880291

7.426555

6.818509

1112.0328

Christoph Adam

C. Adam, J. M. Queiruga

Twinlike models with identical linear fluctuation spectra

Latex, 13 pages, no figures

null

10.1103/PhysRevD.85.025019

null

hep-th math-ph math.MP

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

Recently, the possibility of so-called twinlike field theories has been demonstrated, that is, of different field theories which share the same topological defect solution with the same energy density. Further, purely algebraic conditions have been derived which the corresponding Lagrangians have to obey in order that the field theories be twins of each other. A further diagnostical tool which, in general, allows to distinguish the topological defects of a given theory from the corresponding defects of its twins is the spectrum of linear fluctuations about these defects. Very recently, however, explicit examples of twin theories have been constructed such that not only their shapes and energy densities coincide, but also their linear fluctuation spectra are the same. Here we show that, again, there exist purely algebraic conditions for the Lagrangian densities which imply that the corresponding field theories are twins and that the fluctuation spectra about their defects coincide. These algebraic conditions allow to construct an infinite number of twins with coinciding fluctuation spectra for a given theory, and we provide some explicit examples. The importance of this result is related to the fact that coinciding defects with coinciding energy densities and identical fluctuation spectra are almost indistinguishable physically, that is, indistinguishable in a linear or semiclassical approximation. This implies that the measurable physical properties of a kink, in general, do not allow to determine the theory which provides the kink uniquely. Instead, in principle an infinite number of possible theories has to be considered.

[ { "created": "Thu, 1 Dec 2011 21:03:06 GMT", "version": "v1" } ]

2013-05-30

[ [ "Adam", "C.", "" ], [ "Queiruga", "J. M.", "" ] ]

Recently, the possibility of so-called twinlike field theories has been demonstrated, that is, of different field theories which share the same topological defect solution with the same energy density. Further, purely algebraic conditions have been derived which the corresponding Lagrangians have to obey in order that the field theories be twins of each other. A further diagnostical tool which, in general, allows to distinguish the topological defects of a given theory from the corresponding defects of its twins is the spectrum of linear fluctuations about these defects. Very recently, however, explicit examples of twin theories have been constructed such that not only their shapes and energy densities coincide, but also their linear fluctuation spectra are the same. Here we show that, again, there exist purely algebraic conditions for the Lagrangian densities which imply that the corresponding field theories are twins and that the fluctuation spectra about their defects coincide. These algebraic conditions allow to construct an infinite number of twins with coinciding fluctuation spectra for a given theory, and we provide some explicit examples. The importance of this result is related to the fact that coinciding defects with coinciding energy densities and identical fluctuation spectra are almost indistinguishable physically, that is, indistinguishable in a linear or semiclassical approximation. This implies that the measurable physical properties of a kink, in general, do not allow to determine the theory which provides the kink uniquely. Instead, in principle an infinite number of possible theories has to be considered.

7.120443

7.070362

8.112489

7.156191

7.124161

7.264077

7.84761

7.370169

7.235493

8.619612

7.018872

7.001524

7.389467

7.174819

7.315529

7.235173

7.210906

7.048851

7.488225

7.485827

6.882419

2210.09068

Katarzyna Ole\'s

C. Adam, K. Oles, T. Romanczukiewicz, A. Wereszczynski

Moduli space with a boundary

8 pages, 8 figures

null

10.1016/j.physletb.2022.137611

null

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

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

We find that for various solitonic processes the corresponding canonical moduli space can have a boundary which is accessible in a finite time evolution. We show that such a boundary is not a failure of the moduli space approach but has a physical meaning. In our example, it corresponds to the complete annihilation of a colliding kink and antikink after a finite time. We further find that, close to the boundary, the solutions have an approximate self-similar form.

[ { "created": "Mon, 17 Oct 2022 13:10:06 GMT", "version": "v1" } ]

2022-12-07

[ [ "Adam", "C.", "" ], [ "Oles", "K.", "" ], [ "Romanczukiewicz", "T.", "" ], [ "Wereszczynski", "A.", "" ] ]

We find that for various solitonic processes the corresponding canonical moduli space can have a boundary which is accessible in a finite time evolution. We show that such a boundary is not a failure of the moduli space approach but has a physical meaning. In our example, it corresponds to the complete annihilation of a colliding kink and antikink after a finite time. We further find that, close to the boundary, the solutions have an approximate self-similar form.

10.544226

11.031714

9.960222

9.728083

10.195249

10.981624

10.903612

10.306462

10.476935

11.290702

9.527888

10.016391

10.046152

9.827791

9.89327

10.23557

9.748784

9.99581

9.730888

10.214819

9.840316

1704.06223

Cedric Troessaert

C\'edric Troessaert

The BMS4 algebra at spatial infinity

null

Class. Quantum Grav. 35 (2018) 074003

10.1088/1361-6382/aaae22

null

hep-th gr-qc

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

We show how a global BMS4 algebra appears as the asymptotic symmetry algebra at spatial infinity. Using linearised theory, we then show that this global BMS4 algebra is the one introduced by Strominger as a symmetry of the S-matrix.

[ { "created": "Thu, 20 Apr 2017 16:48:15 GMT", "version": "v1" }, { "created": "Wed, 7 Mar 2018 11:07:19 GMT", "version": "v2" } ]

2018-03-08

[ [ "Troessaert", "Cédric", "" ] ]

We show how a global BMS4 algebra appears as the asymptotic symmetry algebra at spatial infinity. Using linearised theory, we then show that this global BMS4 algebra is the one introduced by Strominger as a symmetry of the S-matrix.

13.078302

9.152427

11.903981

9.904555

10.982323

10.41584

10.127079

9.264931

10.068229

8.970942

9.965735

10.275733

11.221341

9.580135

9.997969

10.512014

9.425989

9.916827

10.431035

10.887309

10.576356

hep-th/9307153

Fusun Akman

Some cohomology operators in 2-D field theory

19 pages, submitted to the Proceedings of the Conference on Quantum Topology, Kansas State University, Manhattan, KS, 24-28 March 1993

null

hep-th math.QA

null

It is typical for a semi-infinite cohomology complex associated with a graded Lie algebra to occur as a vertex operator (or chiral) superalgebra where all the standard operators of cohomology theory, in particular the differential, are modes of vertex operators (fields). Although vertex operator superalgebras -with the inherent Virasoro action- are regarded as part of Conformal Field Theory (CFT), a VOSA may exhibit a square-zero operator (often, but not always, the semi-infinite cohomology differential) for which the Virasoro algebra acts trivially in the cohomology. Capable of shedding its CFT features, such a VOSA is called a ``topological chiral algebra'' (TCA). We investigate the semi-infinite cohomology of the vertex operator Weil algebra and indicate a number of differentials which give rise to TCA structures.

[ { "created": "Mon, 26 Jul 1993 04:17:06 GMT", "version": "v1" } ]

2008-02-03

[ [ "Akman", "Fusun", "" ] ]

It is typical for a semi-infinite cohomology complex associated with a graded Lie algebra to occur as a vertex operator (or chiral) superalgebra where all the standard operators of cohomology theory, in particular the differential, are modes of vertex operators (fields). Although vertex operator superalgebras -with the inherent Virasoro action- are regarded as part of Conformal Field Theory (CFT), a VOSA may exhibit a square-zero operator (often, but not always, the semi-infinite cohomology differential) for which the Virasoro algebra acts trivially in the cohomology. Capable of shedding its CFT features, such a VOSA is called a ``topological chiral algebra'' (TCA). We investigate the semi-infinite cohomology of the vertex operator Weil algebra and indicate a number of differentials which give rise to TCA structures.

11.397791

13.171469

13.037341

11.928002

13.031347

13.292256

13.42141

11.661212

11.008622

12.801783

11.303159

11.596742

11.054234

11.042156

11.026151

11.251824

11.295554

11.030242

11.738779

11.45355

11.114068

2203.08832

Adam Solomon

Lam Hui, Austin Joyce, Riccardo Penco, Luca Santoni, Adam R. Solomon

Near-Zone Symmetries of Kerr Black Holes

4+3 pages, 1 figure

JHEP09(2022)049

10.1007/JHEP09(2022)049

null

hep-th astro-ph.HE gr-qc

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

We study the near-zone symmetries of a massless scalar field on four-dimensional black hole backgrounds. We provide a geometric understanding that unifies various recently discovered symmetries as part of an SO(4,2) group. Of these, a subset are exact symmetries of the static sector and give rise to the ladder symmetries responsible for the vanishing of Love numbers. In the Kerr case, we compare different near-zone approximations in the literature, and focus on the implementation that retains the symmetries of the static limit. We also describe the relation to spin-1 and 2 perturbations.

[ { "created": "Wed, 16 Mar 2022 18:00:01 GMT", "version": "v1" } ]

2023-11-08

[ [ "Hui", "Lam", "" ], [ "Joyce", "Austin", "" ], [ "Penco", "Riccardo", "" ], [ "Santoni", "Luca", "" ], [ "Solomon", "Adam R.", "" ] ]

We study the near-zone symmetries of a massless scalar field on four-dimensional black hole backgrounds. We provide a geometric understanding that unifies various recently discovered symmetries as part of an SO(4,2) group. Of these, a subset are exact symmetries of the static sector and give rise to the ladder symmetries responsible for the vanishing of Love numbers. In the Kerr case, we compare different near-zone approximations in the literature, and focus on the implementation that retains the symmetries of the static limit. We also describe the relation to spin-1 and 2 perturbations.

13.062235

12.81119

12.038503

12.027524

12.330186

11.495988

12.974637

12.277027

12.0023

12.581944

12.011573

12.21123

11.748904

12.176742

11.689883

12.143748

12.327703

12.496467

11.942272

12.188342

12.046462

2107.14488

Aleksandr Ivanov

A. V. Ivanov, M. A. Russkikh

Some Basic Tools of QFT

LaTeX, 21 pages, 7 figures

null

hep-th math-ph math.MP

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

This work has a methodological nature and is a set of lecture notes for undergraduate students. It is devoted to the study of the basic tools of quantum field theory on the example of the simplest cubic "toy" model. We introduce such concepts as the functional integral, the generating functions, the background field method and the Feynman diagram technique, and also consider relations among them. The model under consideration allows us to perform all the calculations explicitly, which significantly increases the visibility and clarity of the notes. We also provide neat proofs that are usually omitted in standard educational publications.

[ { "created": "Fri, 30 Jul 2021 08:32:03 GMT", "version": "v1" } ]

2021-08-02

[ [ "Ivanov", "A. V.", "" ], [ "Russkikh", "M. A.", "" ] ]

This work has a methodological nature and is a set of lecture notes for undergraduate students. It is devoted to the study of the basic tools of quantum field theory on the example of the simplest cubic "toy" model. We introduce such concepts as the functional integral, the generating functions, the background field method and the Feynman diagram technique, and also consider relations among them. The model under consideration allows us to perform all the calculations explicitly, which significantly increases the visibility and clarity of the notes. We also provide neat proofs that are usually omitted in standard educational publications.

13.625818

11.005413

11.553935

11.344455

12.18702

11.929683

12.057536

11.061454

11.115809

11.677958

11.853911

11.506959

11.746576

11.430714

11.69273

11.386462

11.569506

11.666275

11.202847

12.143207

11.958741

2406.05706

Jose Queiruga

S. Navarro-Obreg\'on and J. Queiruga

Impact of the internal modes on the sphaleron decay

15 pages, 18 figures

null

hep-th math-ph math.MP

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

We study the sphaleron solutions in two deformations of the $\phi^6$ model and analyze the oscillons originated from them. We find that the presence of internal modes plays a crucial role in the sphaleron collapse. The positive internal modes triggered by a squeezing of the sphaleron are able to change the direction of collapse. We provide an analytical understanding behind this phenomenon.

[ { "created": "Sun, 9 Jun 2024 09:41:47 GMT", "version": "v1" } ]

2024-06-11

[ [ "Navarro-Obregón", "S.", "" ], [ "Queiruga", "J.", "" ] ]

We study the sphaleron solutions in two deformations of the $\phi^6$ model and analyze the oscillons originated from them. We find that the presence of internal modes plays a crucial role in the sphaleron collapse. The positive internal modes triggered by a squeezing of the sphaleron are able to change the direction of collapse. We provide an analytical understanding behind this phenomenon.

15.021756

13.560946

13.201235

11.014568

10.782089

12.124417

12.676582

11.283512

11.906034

15.233612

11.434739

12.569544

12.523128

12.177172

12.1612

12.290982

11.551736

12.757486

11.973619

12.985879

12.817183

hep-th/0511152

Loriano Bonora

G.Bonelli, L.Bonora, A.Ricco

Conifold geometries, matrix models and quantum solutions

17 p. To appear in proc. Symposium QTS-4, Varna (Bulgaria), August 2005

null

SISSA-ISAS 84/2005/EP

hep-th

null

This paper is a continuation of hepth/0507224 where open topological B-models describing D-branes on 2-cycles of local Calabi--Yau geometries with conical singularities were studied. After a short review, the paper expands in particular on two aspects: the gauge fixing problem in the reduction to two dimensions and the quantum matrix model solutions.

[ { "created": "Tue, 15 Nov 2005 12:23:57 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bonelli", "G.", "" ], [ "Bonora", "L.", "" ], [ "Ricco", "A.", "" ] ]

This paper is a continuation of hepth/0507224 where open topological B-models describing D-branes on 2-cycles of local Calabi--Yau geometries with conical singularities were studied. After a short review, the paper expands in particular on two aspects: the gauge fixing problem in the reduction to two dimensions and the quantum matrix model solutions.

12.927794

11.491304

14.915127

12.276545

11.441544

11.954898

11.930189

10.821058

10.63621

17.812801

11.264282

10.951321

13.622992

11.518891

10.918417

11.341883

11.251093

11.256591

11.105568

12.648583

11.721856

2202.01217

Bogdan Stoica

An Huang, Bogdan Stoica, and Xiao Zhong

Quadratic reciprocity from a family of adelic conformal field theories

19 pages

null

nuhep-th/21-10

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

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

We consider a deformation of the two-dimensional free scalar field theory by raising the Laplacian to a positive real power. It turns out that the resulting non-local generalized free action is invariant under two commuting actions of the global conformal symmetry algebra, although it is no longer invariant under the full Witt algebra. Furthermore, there is an adelic version of this family of conformal field theories, parameterized by the choice of a number field, together with a Hecke character. Tate's thesis gives the Green's functions of these theories, and ensures that these Green's functions satisfy an adelic product formula. In particular, the local $L$-factors contribute to the prefactors of these Green's functions. Quadratic reciprocity turns out to be a consequence of an adelic version of a holomorphic factorization property of this family of theories on a quadratic extension of $\mathbb{Q}$. We explain that at the Archimedean place, the desired holomorphic factorization follows from the global conformal symmetry.

[ { "created": "Wed, 2 Feb 2022 19:00:00 GMT", "version": "v1" } ]

2022-02-04

[ [ "Huang", "An", "" ], [ "Stoica", "Bogdan", "" ], [ "Zhong", "Xiao", "" ] ]

We consider a deformation of the two-dimensional free scalar field theory by raising the Laplacian to a positive real power. It turns out that the resulting non-local generalized free action is invariant under two commuting actions of the global conformal symmetry algebra, although it is no longer invariant under the full Witt algebra. Furthermore, there is an adelic version of this family of conformal field theories, parameterized by the choice of a number field, together with a Hecke character. Tate's thesis gives the Green's functions of these theories, and ensures that these Green's functions satisfy an adelic product formula. In particular, the local $L$-factors contribute to the prefactors of these Green's functions. Quadratic reciprocity turns out to be a consequence of an adelic version of a holomorphic factorization property of this family of theories on a quadratic extension of $\mathbb{Q}$. We explain that at the Archimedean place, the desired holomorphic factorization follows from the global conformal symmetry.

9.032858

9.433455

9.763277

9.024137

10.256574

10.029934

9.749177

8.989881

8.793253

10.010429

8.766898

8.859108

9.411582

8.82122

8.905907

9.134266

9.374815

8.621816

8.908616

8.911263

9.006109

1704.08277

Mohamed Anber

Mohamed M. Anber, Lo\"ic Vincent-Genod

Classification of compactified $su(N_c)$ gauge theories with fermions in all representations

53 pages; a new section is added on the phase structure of theories with fermions in the adjoint+fundamental representations, typos corrected, references and figures added, matches the published version

null

10.1007/JHEP12(2017)028

null

hep-th hep-lat hep-ph

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

We classify $su(N_c)$ gauge theories on $\mathbb R^3\times \mathbb S^1$ with massless fermions in higher representations obeying periodic boundary conditions along $\mathbb S^1$. In particular, we single out the class of theories that is asymptotically free and weakly coupled in the infrared, and therefore, is amenable to semi-classical treatment. Our study is conducted by carefully identifying the vacua inside the affine Weyl chamber using Verma bases and Frobenius formula techniques. Theories with fermions in pure representations are generally strongly coupled. The only exceptions are the four-index symmetric representation of $su(2)$ and adjoint representation of $su(N_c)$. However, we find a plethora of admissible theories with fermions in mixed representations. A sub-class of these theories have degenerate perturbative vacua separated by domain walls. In particular, $su(N_c)$ theories with fermions in the mixed representations adjoint$\oplus$fundamental and adjoint$\oplus$two-index symmetric admit degenerate vacua that spontaneously break the parity ${\cal P}$, charge conjugation ${\cal C}$, and time reversal ${\cal T}$ symmetries. These are the first examples of strictly weakly coupled gauge theories on $\mathbb R^3 \times \mathbb S^1$ with spontaneously broken ${\cal C}$, ${\cal P}$, and ${\cal T}$ symmetries. We also compute the fermion zero modes in the background of monopole-instantons. The monopoles and their composites (topological molecules) proliferate in the vacuum leading to the confinement of electric charges. Interestingly enough, some theories have also accidental degenerate vacua, which are not related by any symmetry. These vacua admit different numbers of fermionic zero modes, and hence, different kinds of topological molecules. The lack of symmetry, however, indicates that such degeneracy might be lifted by higher order corrections.

[ { "created": "Wed, 26 Apr 2017 18:17:15 GMT", "version": "v1" }, { "created": "Thu, 28 Dec 2017 19:32:10 GMT", "version": "v2" } ]

2018-01-17

[ [ "Anber", "Mohamed M.", "" ], [ "Vincent-Genod", "Loïc", "" ] ]

We classify $su(N_c)$ gauge theories on $\mathbb R^3\times \mathbb S^1$ with massless fermions in higher representations obeying periodic boundary conditions along $\mathbb S^1$. In particular, we single out the class of theories that is asymptotically free and weakly coupled in the infrared, and therefore, is amenable to semi-classical treatment. Our study is conducted by carefully identifying the vacua inside the affine Weyl chamber using Verma bases and Frobenius formula techniques. Theories with fermions in pure representations are generally strongly coupled. The only exceptions are the four-index symmetric representation of $su(2)$ and adjoint representation of $su(N_c)$. However, we find a plethora of admissible theories with fermions in mixed representations. A sub-class of these theories have degenerate perturbative vacua separated by domain walls. In particular, $su(N_c)$ theories with fermions in the mixed representations adjoint$\oplus$fundamental and adjoint$\oplus$two-index symmetric admit degenerate vacua that spontaneously break the parity ${\cal P}$, charge conjugation ${\cal C}$, and time reversal ${\cal T}$ symmetries. These are the first examples of strictly weakly coupled gauge theories on $\mathbb R^3 \times \mathbb S^1$ with spontaneously broken ${\cal C}$, ${\cal P}$, and ${\cal T}$ symmetries. We also compute the fermion zero modes in the background of monopole-instantons. The monopoles and their composites (topological molecules) proliferate in the vacuum leading to the confinement of electric charges. Interestingly enough, some theories have also accidental degenerate vacua, which are not related by any symmetry. These vacua admit different numbers of fermionic zero modes, and hence, different kinds of topological molecules. The lack of symmetry, however, indicates that such degeneracy might be lifted by higher order corrections.

5.591166

6.036521

5.965359

5.428993

6.033173

5.871891

6.199984

5.933709

5.709531

6.316769

5.648954

5.453835

5.608177

5.4841

5.628034

5.422344

5.47415

5.482388

5.383917

5.642977

5.339837

hep-th/9505145

null

A.A. Tseytlin

Closed strings in uniform magnetic field backgrounds

22 pages, harvmac

null

Imperial/TP/94-95/35

hep-th

null

We consider a class of conformal models describing closed strings in axially symmetric stationary magnetic flux tube backgrounds. These models are closed string analogs of the Landau model of a particle in a magnetic field or the model of an open string in a constant magnetic field. They are interesting examples of solvable unitary conformal string theories with non-trivial 4-dimensional curved space-time interpretation. In particular, their quantum Hamiltonian can be expressed in terms of free fields and the physical spectrum and string partition function can be explicitly determined. In addition to the presence of tachyonic instabilities and existence of critical values of magnetic field the closed string spectrum exhibits also some novel features which were absent in the open string case. (Contribution to the Proceedings of "Strings 95" Conference)

[ { "created": "Tue, 23 May 1995 18:10:53 GMT", "version": "v1" } ]

2007-05-23

[ [ "Tseytlin", "A. A.", "" ] ]

We consider a class of conformal models describing closed strings in axially symmetric stationary magnetic flux tube backgrounds. These models are closed string analogs of the Landau model of a particle in a magnetic field or the model of an open string in a constant magnetic field. They are interesting examples of solvable unitary conformal string theories with non-trivial 4-dimensional curved space-time interpretation. In particular, their quantum Hamiltonian can be expressed in terms of free fields and the physical spectrum and string partition function can be explicitly determined. In addition to the presence of tachyonic instabilities and existence of critical values of magnetic field the closed string spectrum exhibits also some novel features which were absent in the open string case. (Contribution to the Proceedings of "Strings 95" Conference)

10.162373

9.212465

10.072592

8.501677

8.632438

8.866652

8.773474

8.868225

8.593906

10.825401

8.180392

8.904887

9.8114

8.76788

9.184203

9.184872

8.862731

9.189447

9.36943

9.388831

8.759621

1808.06622

Saul Ramos-Sanchez

Yessenia Olguin-Trejo, Ricardo Perez-Martinez, Saul Ramos-Sanchez

Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds

34 pages, 1 figure, 6 tables; v2: minor corrections for publication in PRD implemented and number of models updated

Phys. Rev. D 98, 106020 (2018)

10.1103/PhysRevD.98.106020

null

hep-th hep-ph

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

Discovering a selection principle and the origin of flavor symmetries from an ultraviolet completion of particle physics is an interesting open task. As a step in this direction, we classify all possible flavor symmetries of 4D massless spectra emerging from supersymmetric Abelian orbifold compactifications, including roto-translations and non-factorizable compact spaces, for generic moduli values. Although these symmetries are valid in all string theories, we focus on the E8 x E8 heterotic string. We perform the widest known search of E8 x E8 Abelian orbifold compactifications, yielding over 121,000 models with MSSM-like features. About 75.4% of these models exhibit flavor symmetries containing D4 factors and only nearly 1.2% have Delta(54) factors. The remaining models are furnished with purely Abelian flavor symmetries. Our findings suggest that, should particle phenomenology arise from a heterotic orbifold, it could accommodate only one of these flavor symmetries.

[ { "created": "Mon, 20 Aug 2018 18:00:10 GMT", "version": "v1" }, { "created": "Wed, 6 Feb 2019 21:36:55 GMT", "version": "v2" } ]

2019-07-04

[ [ "Olguin-Trejo", "Yessenia", "" ], [ "Perez-Martinez", "Ricardo", "" ], [ "Ramos-Sanchez", "Saul", "" ] ]

Discovering a selection principle and the origin of flavor symmetries from an ultraviolet completion of particle physics is an interesting open task. As a step in this direction, we classify all possible flavor symmetries of 4D massless spectra emerging from supersymmetric Abelian orbifold compactifications, including roto-translations and non-factorizable compact spaces, for generic moduli values. Although these symmetries are valid in all string theories, we focus on the E8 x E8 heterotic string. We perform the widest known search of E8 x E8 Abelian orbifold compactifications, yielding over 121,000 models with MSSM-like features. About 75.4% of these models exhibit flavor symmetries containing D4 factors and only nearly 1.2% have Delta(54) factors. The remaining models are furnished with purely Abelian flavor symmetries. Our findings suggest that, should particle phenomenology arise from a heterotic orbifold, it could accommodate only one of these flavor symmetries.

12.638786

12.224035

12.605559

11.23531

13.542845

11.671729

11.941278

11.229951

11.147052

13.012719

11.54544

11.365363

11.817093

11.487267

11.390678

11.411716

11.332936

11.221378

11.448938

12.110201

11.86905

hep-th/0408150

Jamila Douari

New Construction of Exotic Particles Algebra and Noncommutative Geometry

v3; 7 pages, textual modifications and title changed, v4; some expressions corrected

ActaPhys.Slov.56:417-424,2006

null

hep-th

null

This letter establishes a procedure which can determine an algebra of exotic particles obeying fractional statistics and living in two-dimensional space using a non-commuting coordinates.

[ { "created": "Thu, 19 Aug 2004 14:50:49 GMT", "version": "v1" }, { "created": "Tue, 19 Oct 2004 10:19:28 GMT", "version": "v2" }, { "created": "Thu, 26 May 2005 13:28:14 GMT", "version": "v3" }, { "created": "Wed, 1 Jun 2005 12:46:42 GMT", "version": "v4" } ]

2008-11-26

[ [ "Douari", "Jamila", "" ] ]

This letter establishes a procedure which can determine an algebra of exotic particles obeying fractional statistics and living in two-dimensional space using a non-commuting coordinates.

68.105721

45.060352

45.491302

40.411587

41.632172

43.551498

38.665096

42.835117

34.547142

41.846207

43.429665

42.86866

44.304073

39.357735

39.562191

39.943802

40.542812

38.940079

39.945877

43.32085

41.982624

hep-th/9111048

David Kutasov

D. Kutasov, E. Martinec and N. Seiberg

Ground Rings and Their Modules in 2D Gravity with $c\le 1$ Matter

13 pages

Phys.Lett.B276:437-444,1992

10.1016/0370-2693(92)91664-U

null

hep-th

null

All solvable two-dimensional quantum gravity models have non-trivial BRST cohomology with vanishing ghost number. These states form a ring and all the other states in the theory fall into modules of this ring. The relations in the ring and in the modules have a physical interpretation. The existence of these rings and modules leads to nontrivial constraints on the correlation functions and goes a long way toward solving these theories in the continuum approach.

[ { "created": "Sat, 23 Nov 1991 21:52:35 GMT", "version": "v1" } ]

2009-09-15

[ [ "Kutasov", "D.", "" ], [ "Martinec", "E.", "" ], [ "Seiberg", "N.", "" ] ]

All solvable two-dimensional quantum gravity models have non-trivial BRST cohomology with vanishing ghost number. These states form a ring and all the other states in the theory fall into modules of this ring. The relations in the ring and in the modules have a physical interpretation. The existence of these rings and modules leads to nontrivial constraints on the correlation functions and goes a long way toward solving these theories in the continuum approach.

10.776291

9.458751

10.54839

9.62245

9.826043

9.036955

9.449728

8.463061

9.933619

11.070271

9.358853

9.304342

10.407451

9.287332

9.481919

9.123403

8.995884

8.861719

9.169951

9.692899

8.894941

hep-th/9412211

Valery P. Frolov

Valeri Frolov

Black Hole Entropy

16 pages, LaTeX; Talk at the Winnipeg Heat Kernel Conference (Aug,94)

null

Alberta-Thy 42-94

hep-th gr-qc

null

In the talk different definitions of the black hole entropy are discussed and compared. It is shown that the Bekenstein-Hawking entropy $S^{BH}$ (defined by the response of the free energy of a system containing a black hole on the change of the temperature) differs from the statistical- mechanical entropy $S^{SM}=-\mbox{Tr}(\hat{\rho}\ln \hat{\rho})$ (defined by counting internal degrees of freedom of a black hole). A simple explanation of the universality of the Bekenstein-Hawking entropy (i.e. its independence of the number and properties of the fields which might contribute to $S^{SM}$) is given.

[ { "created": "Fri, 23 Dec 1994 23:44:37 GMT", "version": "v1" } ]

2007-05-23

[ [ "Frolov", "Valeri", "" ] ]

In the talk different definitions of the black hole entropy are discussed and compared. It is shown that the Bekenstein-Hawking entropy $S^{BH}$ (defined by the response of the free energy of a system containing a black hole on the change of the temperature) differs from the statistical- mechanical entropy $S^{SM}=-\mbox{Tr}(\hat{\rho}\ln \hat{\rho})$ (defined by counting internal degrees of freedom of a black hole). A simple explanation of the universality of the Bekenstein-Hawking entropy (i.e. its independence of the number and properties of the fields which might contribute to $S^{SM}$) is given.

5.256416

4.888094

5.035945

4.629285

4.586197

4.260362

4.525018

4.784855

4.616206

5.301722

4.674093

4.748963

4.809227

4.668399

4.835464

4.688793

4.835507

4.779392

4.621032

4.953334

4.817029

hep-th/9303070

Sylvie Zaffanella

Jean-Paul Blaizot, Jean-Yves Ollitrault

Collective fermionic excitations in systems with a large chemical potential

Saclay-T93/018 Email: ollie@amoco.saclay.cea.fr

Phys.Rev. D48 (1993) 1390-1408

10.1103/PhysRevD.48.1390

null

hep-th hep-ph

null

We study fermionic excitations in a cold ultrarelativistic plasma. We construct explicitly the quantum states associated with the two branches which develop in the excitation spectrum as the chemical potential is raised. The collective nature of the long wavelength excitations is clearly exhibited. Email contact: ollie@amoco.saclay.cea.fr

[ { "created": "Thu, 11 Mar 1993 14:36:53 GMT", "version": "v1" } ]

2009-10-22

[ [ "Blaizot", "Jean-Paul", "" ], [ "Ollitrault", "Jean-Yves", "" ] ]

We study fermionic excitations in a cold ultrarelativistic plasma. We construct explicitly the quantum states associated with the two branches which develop in the excitation spectrum as the chemical potential is raised. The collective nature of the long wavelength excitations is clearly exhibited. Email contact: ollie@amoco.saclay.cea.fr

16.533907

12.380012

10.230129

10.740128

14.787304

12.898079

12.579282

13.821294

10.803692

11.649094

12.533597

14.037934

13.263056

13.103708

13.912128

13.054586

13.135136

12.93335

13.52258

12.914806

14.917129

1205.1335

Kenji Ikegami

Riuji Mochizuki and Kenji Ikegami

Stability of S-brane singular solutions and expansion of the universe

10 pages, no figures

Mod. Phys. Lett. A, Vol. 27, No. 24 (2012) 1250134

10.1142/S0217732312501349

null

hep-th

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

We investigate stability of single S-brane singular solutions obtained in our previous papers. A stable perturbative solution exists for each of them, while an unstable one exists only if the dilaton field does not depend on time. We apply these perturbative solutions to inflation and late-time acceleration of expansion of the universe.

[ { "created": "Mon, 7 May 2012 10:38:40 GMT", "version": "v1" }, { "created": "Thu, 26 Jul 2012 04:52:28 GMT", "version": "v2" } ]

2012-07-27

[ [ "Mochizuki", "Riuji", "" ], [ "Ikegami", "Kenji", "" ] ]

We investigate stability of single S-brane singular solutions obtained in our previous papers. A stable perturbative solution exists for each of them, while an unstable one exists only if the dilaton field does not depend on time. We apply these perturbative solutions to inflation and late-time acceleration of expansion of the universe.

17.129728

14.438511

13.296535

12.778625

13.218381

13.559981

12.888518

11.383863

14.262917

14.940653

13.702372

12.987994

12.399295

14.068867

14.412537

14.135067

13.790124

13.191315

14.020926

12.920991

13.477769

hep-th/0411238

James Sparks

Dario Martelli, James Sparks

Toric Geometry, Sasaki-Einstein Manifolds and a New Infinite Class of AdS/CFT Duals

54 pages, 5 figures; minor changes; further minor changes, ref [8] added - published version; eqns 1.3, 1.4 removed

Commun.Math.Phys. 262 (2006) 51-89

10.1007/s00220-005-1425-3

CERN-PH-TH/2004-222, HUTP-04/A0046

hep-th math.DG

null

Recently an infinite family of explicit Sasaki-Einstein metrics Y^{p,q} on S^2 x S^3 has been discovered, where p and q are two coprime positive integers, with q<p. These give rise to a corresponding family of Calabi-Yau cones, which moreover are toric. Aided by several recent results in toric geometry, we show that these are Kahler quotients C^4//U(1), namely the vacua of gauged linear sigma models with charges (p,p,-p+q,-p-q), thereby generalising the conifold, which is p=1,q=0. We present the corresponding toric diagrams and show that these may be embedded in the toric diagram for the orbifold C^3/Z_{p+1}xZ_{p+1} for all q<p with fixed p. We hence find that the Y^{p,q} manifolds are AdS/CFT dual to an infinite class of N=1 superconformal field theories arising as IR fixed points of toric quiver gauge theories with gauge group SU(N)^{2p}. As a non-trivial example, we show that Y^{2,1} is an explicit irregular Sasaki-Einstein metric on the horizon of the complex cone over the first del Pezzo surface. The dual quiver gauge theory has already been constructed for this case and hence we can predict the exact central charge of this theory at its IR fixed point using the AdS/CFT correspondence. The value we obtain is a quadratic irrational number and, remarkably, agrees with a recent purely field theoretic calculation using a-maximisation.

[ { "created": "Fri, 26 Nov 2004 19:45:27 GMT", "version": "v1" }, { "created": "Sun, 28 Nov 2004 20:48:42 GMT", "version": "v2" }, { "created": "Fri, 3 Dec 2004 19:55:51 GMT", "version": "v3" }, { "created": "Fri, 18 Mar 2005 16:42:22 GMT", "version": "v4" }, { "created": "Fri, 4 Aug 2006 16:34:37 GMT", "version": "v5" } ]

2009-11-10

[ [ "Martelli", "Dario", "" ], [ "Sparks", "James", "" ] ]

Recently an infinite family of explicit Sasaki-Einstein metrics Y^{p,q} on S^2 x S^3 has been discovered, where p and q are two coprime positive integers, with q<p. These give rise to a corresponding family of Calabi-Yau cones, which moreover are toric. Aided by several recent results in toric geometry, we show that these are Kahler quotients C^4//U(1), namely the vacua of gauged linear sigma models with charges (p,p,-p+q,-p-q), thereby generalising the conifold, which is p=1,q=0. We present the corresponding toric diagrams and show that these may be embedded in the toric diagram for the orbifold C^3/Z_{p+1}xZ_{p+1} for all q<p with fixed p. We hence find that the Y^{p,q} manifolds are AdS/CFT dual to an infinite class of N=1 superconformal field theories arising as IR fixed points of toric quiver gauge theories with gauge group SU(N)^{2p}. As a non-trivial example, we show that Y^{2,1} is an explicit irregular Sasaki-Einstein metric on the horizon of the complex cone over the first del Pezzo surface. The dual quiver gauge theory has already been constructed for this case and hence we can predict the exact central charge of this theory at its IR fixed point using the AdS/CFT correspondence. The value we obtain is a quadratic irrational number and, remarkably, agrees with a recent purely field theoretic calculation using a-maximisation.

6.347607

6.239185

7.435702

6.136036

6.542811

6.343473

6.419046

5.999579

5.970479

8.132269

6.06645

5.786214

6.340632

5.995981

5.987154

5.982865

6.210699

6.061268

6.010593

6.323674

6.015977

1511.00769

Jos\'e Euclides Gomes Da Silva

J. E. G. Silva, R. V. Maluf and C. A. S. Almeida

A nonlinear dynamics for the scalar field in Randers spacetime

14 pages, 2 figures;shorted version, corrected typos, figures modified, results unchanged; version to appear in PLB

null

hep-th gr-qc

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

We investigate the properties of a real scalar field in the Finslerian Randers spacetime, where the local Lorentz violation is driven by a geometrical background vector. We propose a dynamics for the scalar field by a minimal coupling of the scalar field and the Finsler metric. The coupling is intrinsically defined on the Randers spacetime, and it leads to a non-canonical kinetic term for the scalar field. The nonlinear dynamics can be split into a linear and nonlinear regimes, which depend perturbatively on the even and odd powers of the Lorentz-violating parameter, respectively. We analyze the plane-waves solutions and the modified dispersion relations, and it turns out that the spectrum is free of tachyons up to second-order.

[ { "created": "Tue, 3 Nov 2015 03:56:01 GMT", "version": "v1" }, { "created": "Mon, 16 Jan 2017 14:30:23 GMT", "version": "v2" } ]

2017-01-17

[ [ "Silva", "J. E. G.", "" ], [ "Maluf", "R. V.", "" ], [ "Almeida", "C. A. S.", "" ] ]

We investigate the properties of a real scalar field in the Finslerian Randers spacetime, where the local Lorentz violation is driven by a geometrical background vector. We propose a dynamics for the scalar field by a minimal coupling of the scalar field and the Finsler metric. The coupling is intrinsically defined on the Randers spacetime, and it leads to a non-canonical kinetic term for the scalar field. The nonlinear dynamics can be split into a linear and nonlinear regimes, which depend perturbatively on the even and odd powers of the Lorentz-violating parameter, respectively. We analyze the plane-waves solutions and the modified dispersion relations, and it turns out that the spectrum is free of tachyons up to second-order.

7.189152

6.925828

6.924513

6.781495

7.959697

7.424891

7.601616

7.462686

6.921432

7.382932

7.340648

7.105318

6.962842

7.039307

7.016378

7.016976

7.079099

7.043763

6.970462

6.972749

7.137341

1209.5328

Kenichi Konishi

Simone Giacomelli and Kenichi Konishi

Singular SQCD Vacua and Confinement

27 pages

null

10.1007/JHEP12(2012)083

IFUP-TH/2012-18

hep-th

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

We revisit the study of confining vacua in the softly broken N=2 supersymmetric QCD, in the light of some recent developments in our understanding of the dynamics of N=2 gauge theories. These vacua are characterized by an effective magnetic $SU(r)$ gauge group ($0\leq r\leq N_f/2$) and are referred to sometimes as the $r$ vacua. We further clarify the meaning of $r \leftrightarrow N_{f}-r$ duality arising from the matching of semi-classical and quantum vacua. A particular attention is paid to certain singular SCFT's of N=2 SQCD, driven into confinement phase by the adjoint mass deformation $\mu\, \Phi^{2}$. In some cases they occur as a result of coalescence of different $r$ vacua as the bare mass is tuned to a critical value.

[ { "created": "Mon, 24 Sep 2012 16:45:23 GMT", "version": "v1" }, { "created": "Thu, 1 Nov 2012 18:24:17 GMT", "version": "v2" } ]

2015-06-11

[ [ "Giacomelli", "Simone", "" ], [ "Konishi", "Kenichi", "" ] ]

We revisit the study of confining vacua in the softly broken N=2 supersymmetric QCD, in the light of some recent developments in our understanding of the dynamics of N=2 gauge theories. These vacua are characterized by an effective magnetic $SU(r)$ gauge group ($0\leq r\leq N_f/2$) and are referred to sometimes as the $r$ vacua. We further clarify the meaning of $r \leftrightarrow N_{f}-r$ duality arising from the matching of semi-classical and quantum vacua. A particular attention is paid to certain singular SCFT's of N=2 SQCD, driven into confinement phase by the adjoint mass deformation $\mu\, \Phi^{2}$. In some cases they occur as a result of coalescence of different $r$ vacua as the bare mass is tuned to a critical value.

8.515026

8.070009

9.111952

8.111841

8.406063

8.373764

8.789508

8.300558

8.247094

9.057568

7.961999

8.166113

8.041799

8.039666

8.260419

8.238838

8.211035

8.108562

7.998971

8.092041

7.809796

1509.09094

Cedric Troessaert

Hamiltonian surface charges using external sources

35 pages

null

10.1063/1.4947177

null

hep-th

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

In this work, we interpret part of the boundary conditions as external sources in order to solve the integrability problem present in the computation of surface charges associated to gauge symmetries in the hamiltonian formalism. We start by describing the hamiltonian structure of external symmetries preserving the action up to a transformation of the external sources of the theory. We then extend these results to the computation of surface charges for field theories with non-trivial boundary conditions.

[ { "created": "Wed, 30 Sep 2015 09:30:01 GMT", "version": "v1" } ]

2016-06-22

[ [ "Troessaert", "Cedric", "" ] ]

In this work, we interpret part of the boundary conditions as external sources in order to solve the integrability problem present in the computation of surface charges associated to gauge symmetries in the hamiltonian formalism. We start by describing the hamiltonian structure of external symmetries preserving the action up to a transformation of the external sources of the theory. We then extend these results to the computation of surface charges for field theories with non-trivial boundary conditions.

10.791062

10.422753

11.053391

10.448161

10.714013

9.759953

10.196593

9.567285

11.143007

13.302823

10.036464

10.114269

10.689769

9.87159

10.212598

9.645579

9.861939

9.897091

10.453137

10.483099

10.22082

hep-th/0409133

Juan Maldacena

Igor R. Klebanov and Juan M. Maldacena

Superconformal Gauge Theories and Non-Critical Superstrings

16 pages, 1 figure v4: Minor changes

Int.J.Mod.Phys. A19 (2004) 5003-5016

10.1142/S0217751X04020865

PUPT-2135

hep-th

null

We consider effective actions for six-dimensional non-critical superstrings. We show that the addition of $N$ units of R-R flux and of $N_f$ space-time filling D5-branes produces $AdS_5 \times S^1$ solutions with curvature comparable to the string scale. These solutions have the right structure to be dual to ${\cal N}=1$ supersymmetric SU(N) gauge theories with $N_f$ flavors. We further suggest bounds on the mass-squared of tachyonic fields in this background that should restrict the theory to the conformal window.

[ { "created": "Tue, 14 Sep 2004 18:33:47 GMT", "version": "v1" }, { "created": "Tue, 5 Oct 2004 13:23:45 GMT", "version": "v2" }, { "created": "Thu, 14 Oct 2004 13:24:18 GMT", "version": "v3" }, { "created": "Thu, 9 Dec 2004 14:35:24 GMT", "version": "v4" } ]

2009-11-10

[ [ "Klebanov", "Igor R.", "" ], [ "Maldacena", "Juan M.", "" ] ]

We consider effective actions for six-dimensional non-critical superstrings. We show that the addition of $N$ units of R-R flux and of $N_f$ space-time filling D5-branes produces $AdS_5 \times S^1$ solutions with curvature comparable to the string scale. These solutions have the right structure to be dual to ${\cal N}=1$ supersymmetric SU(N) gauge theories with $N_f$ flavors. We further suggest bounds on the mass-squared of tachyonic fields in this background that should restrict the theory to the conformal window.

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8.094627

7.396907

hep-th/9209052

null

M. Gasperini, J. Maharana, G. Veneziano

Boosting Away Singularities from Conformal String Backgrounds

11 pages, CERN-TH.6634/92

Phys.Lett. B296 (1992) 51-57

10.1016/0370-2693(92)90802-B

null

hep-th

null

Generalizing our previous work, we show how $O(d,d)$ transformations can be used to "boost away" in new dimensions the physical singularities that occur generically in cosmological and/or black-hole string backgrounds. As an example, we show how a recent model by Nappi and Witten can be made singularity-free via $O(3,3)$ boosts involving a fifth dimension.

[ { "created": "Tue, 15 Sep 1992 15:54:51 GMT", "version": "v1" } ]

2009-10-22

[ [ "Gasperini", "M.", "" ], [ "Maharana", "J.", "" ], [ "Veneziano", "G.", "" ] ]

Generalizing our previous work, we show how $O(d,d)$ transformations can be used to "boost away" in new dimensions the physical singularities that occur generically in cosmological and/or black-hole string backgrounds. As an example, we show how a recent model by Nappi and Witten can be made singularity-free via $O(3,3)$ boosts involving a fifth dimension.

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10.290796

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9.917928

1203.5784

Masahito Yamazaki

Quivers, YBE and 3-manifolds

61 pages, 16 figures; v2: typos corrected

JHEP 1205:147,2012

10.1007/JHEP05(2012)147

PUPT-2406

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

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

We study 4d superconformal indices for a large class of N=1 superconformal quiver gauge theories realized combinatorially as a bipartite graph or a set of "zig-zag paths" on a two-dimensional torus T^2. An exchange of loops, which we call a "double Yang-Baxter move", gives the Seiberg duality of the gauge theory, and the invariance of the index under the duality is translated into the Yang-Baxter-type equation of a spin system defined on a "Z-invariant" lattice on T^2. When we compactify the gauge theory to 3d, Higgs the theory and then compactify further to 2d, the superconformal index reduces to an integral of quantum/classical dilogarithm functions. The saddle point of this integral unexpectedly reproduces the hyperbolic volume of a hyperbolic 3-manifold. The 3-manifold is obtained by gluing hyperbolic ideal polyhedra in H^3, each of which could be thought of as a 3d lift of the faces of the 2d bipartite graph.The same quantity is also related with the thermodynamic limit of the BPS partition function, or equivalently the genus 0 topological string partition function, on a toric Calabi-Yau manifold dual to quiver gauge theories. We also comment on brane realization of our theories. This paper is a companion to another paper summarizing the results.

[ { "created": "Mon, 26 Mar 2012 20:00:01 GMT", "version": "v1" }, { "created": "Mon, 28 May 2012 17:16:44 GMT", "version": "v2" } ]

2012-06-07

[ [ "Yamazaki", "Masahito", "" ] ]

We study 4d superconformal indices for a large class of N=1 superconformal quiver gauge theories realized combinatorially as a bipartite graph or a set of "zig-zag paths" on a two-dimensional torus T^2. An exchange of loops, which we call a "double Yang-Baxter move", gives the Seiberg duality of the gauge theory, and the invariance of the index under the duality is translated into the Yang-Baxter-type equation of a spin system defined on a "Z-invariant" lattice on T^2. When we compactify the gauge theory to 3d, Higgs the theory and then compactify further to 2d, the superconformal index reduces to an integral of quantum/classical dilogarithm functions. The saddle point of this integral unexpectedly reproduces the hyperbolic volume of a hyperbolic 3-manifold. The 3-manifold is obtained by gluing hyperbolic ideal polyhedra in H^3, each of which could be thought of as a 3d lift of the faces of the 2d bipartite graph.The same quantity is also related with the thermodynamic limit of the BPS partition function, or equivalently the genus 0 topological string partition function, on a toric Calabi-Yau manifold dual to quiver gauge theories. We also comment on brane realization of our theories. This paper is a companion to another paper summarizing the results.

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