LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9909120

Eric R. Sharpe

Discrete Torsion and Gerbes II

75 pages, must LaTeX 3x; v2: minor refinement in conclusions, other minor upgrades

null

DUKE-CGTP-99-07

hep-th math.DG

null

In a previous paper we outlined how discrete torsion can be understood geometrically as an analogue of orbifold U(1) Wilson lines. In this paper we shall prove the remaining details. More precisely, in this paper we describe gerbes in terms of objects known as stacks (essentially, sheaves of categories), and develop much of the basic theory of gerbes in such language. Then, once the relevant technology has been described, we give a first-principles geometric derivation of discrete torsion. In other words, we define equivariant gerbes, and classify equivariant structures on gerbes and on gerbes with connection. We prove that in general, the set of equivariant structures on a gerbe with connection is a torsor under a group which includes H^2(G,U(1)), where G is the orbifold group. In special cases, such as trivial gerbes, the set of equivariant structures can furthermore be canonically identified with the group.

[ { "created": "Thu, 16 Sep 1999 20:06:33 GMT", "version": "v1" }, { "created": "Sat, 19 Aug 2000 14:00:57 GMT", "version": "v2" } ]

2007-05-23

[ [ "Sharpe", "Eric R.", "" ] ]

In a previous paper we outlined how discrete torsion can be understood geometrically as an analogue of orbifold U(1) Wilson lines. In this paper we shall prove the remaining details. More precisely, in this paper we describe gerbes in terms of objects known as stacks (essentially, sheaves of categories), and develop much of the basic theory of gerbes in such language. Then, once the relevant technology has been described, we give a first-principles geometric derivation of discrete torsion. In other words, we define equivariant gerbes, and classify equivariant structures on gerbes and on gerbes with connection. We prove that in general, the set of equivariant structures on a gerbe with connection is a torsor under a group which includes H^2(G,U(1)), where G is the orbifold group. In special cases, such as trivial gerbes, the set of equivariant structures can furthermore be canonically identified with the group.

7.664136

7.786571

8.788428

7.465012

7.547252

7.664055

7.082387

6.946783

7.245006

8.56616

6.911725

7.085403

7.41377

7.225082

7.109968

7.106457

6.957774

7.217634

7.175145

7.516403

7.102155

1707.08501

Oleg Evnin

Ben Craps, Oleg Evnin, Vincent Luyten

Maximally rotating waves in AdS and on spheres

17 pages

JHEP 1709 (2017) 059

10.1007/JHEP09(2017)059

null

hep-th gr-qc math-ph math.AP math.MP nlin.SI

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

We study the cubic wave equation in AdS_(d+1) (and a closely related cubic wave equation on S^3) in a weakly nonlinear regime. Via time-averaging, these systems are accurately described by simplified infinite-dimensional quartic Hamiltonian systems, whose structure is mandated by the fully resonant spectrum of linearized perturbations. The maximally rotating sector, comprising only the modes of maximal angular momentum at each frequency level, consistently decouples in the weakly nonlinear regime. The Hamiltonian systems obtained by this decoupling display remarkable periodic return behaviors closely analogous to what has been demonstrated in recent literature for a few other related equations (the cubic Szego equation, the conformal flow, the LLL equation). This suggests a powerful underlying analytic structure, such as integrability. We comment on the connection of our considerations to the Gross-Pitaevskii equation for harmonically trapped Bose-Einstein condensates.

[ { "created": "Wed, 26 Jul 2017 15:36:28 GMT", "version": "v1" } ]

2017-09-18

[ [ "Craps", "Ben", "" ], [ "Evnin", "Oleg", "" ], [ "Luyten", "Vincent", "" ] ]

We study the cubic wave equation in AdS_(d+1) (and a closely related cubic wave equation on S^3) in a weakly nonlinear regime. Via time-averaging, these systems are accurately described by simplified infinite-dimensional quartic Hamiltonian systems, whose structure is mandated by the fully resonant spectrum of linearized perturbations. The maximally rotating sector, comprising only the modes of maximal angular momentum at each frequency level, consistently decouples in the weakly nonlinear regime. The Hamiltonian systems obtained by this decoupling display remarkable periodic return behaviors closely analogous to what has been demonstrated in recent literature for a few other related equations (the cubic Szego equation, the conformal flow, the LLL equation). This suggests a powerful underlying analytic structure, such as integrability. We comment on the connection of our considerations to the Gross-Pitaevskii equation for harmonically trapped Bose-Einstein condensates.

14.474747

15.628135

17.820669

14.834117

17.076397

16.734596

17.107506

15.63102

15.242128

18.204737

15.023032

14.770422

14.877161

14.747951

14.753797

14.662196

14.364774

14.593905

14.199165

15.072367

14.502561

1610.05664

Michele Maggiore

Enis Belgacem, Giulia Cusin, Stefano Foffa, Michele Maggiore and Michele Mancarella

Stability issues of nonlocal gravity during primordial inflation

v3: important error corrected, which changes a conclusion (RT model viable also when initial conditions are set during inflation); v4: corrected an error in the v3 submission (abstract in the arxiv form had not been changed)

null

hep-th astro-ph.CO

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

We study the cosmological evolution of some nonlocal gravity models, when the initial conditions are set during a phase of primordial inflation. We examine in particular three models, the so-called RT, RR and $\Delta_4$ models, previously introduced by our group. We find that the RR and $\Delta_4$ models have a stable evolution also during inflation. The RT model has an apparent instability, but we show that, because of the smallness of the scale associated to the nonlocal term compared to the inflationary scale, this instability is innocuous and also the RT model has a viable evolution even when its initial conditions are set during a phase of primordial inflation.

[ { "created": "Tue, 18 Oct 2016 15:08:35 GMT", "version": "v1" }, { "created": "Mon, 13 Nov 2017 10:40:16 GMT", "version": "v2" }, { "created": "Wed, 28 Nov 2018 15:02:24 GMT", "version": "v3" }, { "created": "Thu, 29 Nov 2018 15:18:17 GMT", "version": "v4" } ]

2018-11-30

[ [ "Belgacem", "Enis", "" ], [ "Cusin", "Giulia", "" ], [ "Foffa", "Stefano", "" ], [ "Maggiore", "Michele", "" ], [ "Mancarella", "Michele", "" ] ]

We study the cosmological evolution of some nonlocal gravity models, when the initial conditions are set during a phase of primordial inflation. We examine in particular three models, the so-called RT, RR and $\Delta_4$ models, previously introduced by our group. We find that the RR and $\Delta_4$ models have a stable evolution also during inflation. The RT model has an apparent instability, but we show that, because of the smallness of the scale associated to the nonlocal term compared to the inflationary scale, this instability is innocuous and also the RT model has a viable evolution even when its initial conditions are set during a phase of primordial inflation.

7.332269

7.226307

6.806602

6.960437

7.427963

7.684356

7.820704

6.94334

7.231991

6.689192

7.409207

7.500573

7.284537

7.245022

7.157377

7.352078

7.358482

7.204741

7.211708

7.228183

7.115395

hep-th/9510125

Yun Soo Myung

H.W. Lee, Y.S. Myung(Inje U.), Jin Young Kim(Dongseo U.)

Unstable two-dimensional extremal black holes

9 pages 3 figures, RevTeX, to obtain figures contact author (ysmyung@physics.inje.ac.kr)

null

INJE-TP-95-7

hep-th

null

We obtain the $\epsilon<2$ new extremal ground states of a two-dimensional (2D) charged black hole where $\epsilon$ is the dilaton coupling parameter for the Maxwell term. The stability analysis is carried out for all these extremal black holes. It is found that the shape of potentials to an on-coming tachyon (as a spectator) take all barrier-well types. These provide the bound state solutions, which imply that they are unstable. We conclude that the 2D, $\epsilon<2$ extremal black holes should not be considered as a toy model for the stable endpoint of the Hawking evaporation.

[ { "created": "Wed, 18 Oct 1995 08:41:31 GMT", "version": "v1" } ]

2007-05-23

[ [ "Lee", "H. W.", "", "Inje U." ], [ "Myung", "Y. S.", "", "Inje U." ], [ "Kim", "Jin Young", "", "Dongseo U." ] ]

We obtain the $\epsilon<2$ new extremal ground states of a two-dimensional (2D) charged black hole where $\epsilon$ is the dilaton coupling parameter for the Maxwell term. The stability analysis is carried out for all these extremal black holes. It is found that the shape of potentials to an on-coming tachyon (as a spectator) take all barrier-well types. These provide the bound state solutions, which imply that they are unstable. We conclude that the 2D, $\epsilon<2$ extremal black holes should not be considered as a toy model for the stable endpoint of the Hawking evaporation.

16.282766

12.082843

16.710981

13.330507

12.78943

12.143235

12.123319

12.283503

13.294027

17.741982

13.251118

13.863937

14.845697

14.52397

13.915304

14.515727

13.92852

13.596008

14.874997

15.43537

13.899872

2111.00025

Mauricio Romo

Jirui Guo and Mauricio Romo

Hybrid models for homological projective duals and noncommutative resolutions

50 pages, LaTeX; v3: references added, several improvements on the examples and the section on complete intersections. Published version

null

10.1007/s11005-022-01605-3

null

hep-th math.AG

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

We study hybrid models arising as homological projective duals (HPD) of certain projective embeddings $f:X\rightarrow\mathbb{P}(V)$ of Fano manifolds $X$. More precisely, the category of B-branes of such hybrid models corresponds to the HPD category of the embedding $f$. B-branes on these hybrid models can be seen as global matrix factorizations over some compact space $B$ or, equivalently, as the derived category of the sheaf of $\mathcal{A}$-modules on $B$, where $\mathcal{A}$ is an $A_{\infty}$ algebra. This latter interpretation corresponds to a noncommutative resolution of $B$. We compute explicitly the algebra $\mathcal{A}$ by several methods, for some specific class of hybrid models, and find that in general it takes the form of a smash product of an $A_{\infty}$ algebra with a cyclic group. Then we apply our results to the HPD of $f$ corresponding to a Veronese embedding of projective space and the projective embedding of Fano complete intersections in $\mathbb{P}^{n}$.

[ { "created": "Fri, 29 Oct 2021 18:00:21 GMT", "version": "v1" }, { "created": "Thu, 2 Dec 2021 15:27:23 GMT", "version": "v2" }, { "created": "Tue, 1 Nov 2022 10:46:06 GMT", "version": "v3" } ]

2022-11-30

[ [ "Guo", "Jirui", "" ], [ "Romo", "Mauricio", "" ] ]

We study hybrid models arising as homological projective duals (HPD) of certain projective embeddings $f:X\rightarrow\mathbb{P}(V)$ of Fano manifolds $X$. More precisely, the category of B-branes of such hybrid models corresponds to the HPD category of the embedding $f$. B-branes on these hybrid models can be seen as global matrix factorizations over some compact space $B$ or, equivalently, as the derived category of the sheaf of $\mathcal{A}$-modules on $B$, where $\mathcal{A}$ is an $A_{\infty}$ algebra. This latter interpretation corresponds to a noncommutative resolution of $B$. We compute explicitly the algebra $\mathcal{A}$ by several methods, for some specific class of hybrid models, and find that in general it takes the form of a smash product of an $A_{\infty}$ algebra with a cyclic group. Then we apply our results to the HPD of $f$ corresponding to a Veronese embedding of projective space and the projective embedding of Fano complete intersections in $\mathbb{P}^{n}$.

5.191552

6.009477

6.731269

5.721246

6.007859

6.26073

5.883395

5.923972

5.60122

6.739336

5.478334

5.404552

5.592933

5.361825

5.377003

5.289325

5.421269

5.262833

5.531475

5.384258

5.147524

hep-th/0306217

Luzi Bergamin

L. Bergamin and W. Kummer

The Complete Solution of 2D Superfield Supergravity from graded Poisson-Sigma Models and the Super Pointparticle

48 pages, 1 figure. v3: after final version, typos corrected

Phys.Rev. D68 (2003) 104005

10.1103/PhysRevD.68.104005

null

hep-th

null

Recently an alternative description of 2d supergravities in terms of graded Poisson-Sigma models (gPSM) has been given. As pointed out previously by the present authors a certain subset of gPSMs can be interpreted as "genuine" supergravity, fulfilling the well-known limits of supergravity, albeit deformed by the dilaton field. In our present paper we show that precisely that class of gPSMs corresponds one-to-one to the known dilaton supergravity superfield theories presented a long time ago by Park and Strominger. Therefore, the unique advantages of the gPSM approach can be exploited for the latter: We are able to provide the first complete classical solution for any such theory. On the other hand, the straightforward superfield formulation of the point particle in a supergravity background can be translated back into the gPSM frame, where "supergeodesics" can be discussed in terms of a minimal set of supergravity field degrees of freedom. Further possible applications like the (almost) trivial quantization are mentioned.

[ { "created": "Mon, 23 Jun 2003 11:11:54 GMT", "version": "v1" }, { "created": "Mon, 6 Oct 2003 13:28:34 GMT", "version": "v2" }, { "created": "Mon, 23 Feb 2004 11:55:23 GMT", "version": "v3" } ]

2009-11-10

[ [ "Bergamin", "L.", "" ], [ "Kummer", "W.", "" ] ]

Recently an alternative description of 2d supergravities in terms of graded Poisson-Sigma models (gPSM) has been given. As pointed out previously by the present authors a certain subset of gPSMs can be interpreted as "genuine" supergravity, fulfilling the well-known limits of supergravity, albeit deformed by the dilaton field. In our present paper we show that precisely that class of gPSMs corresponds one-to-one to the known dilaton supergravity superfield theories presented a long time ago by Park and Strominger. Therefore, the unique advantages of the gPSM approach can be exploited for the latter: We are able to provide the first complete classical solution for any such theory. On the other hand, the straightforward superfield formulation of the point particle in a supergravity background can be translated back into the gPSM frame, where "supergeodesics" can be discussed in terms of a minimal set of supergravity field degrees of freedom. Further possible applications like the (almost) trivial quantization are mentioned.

13.021266

13.928537

12.714972

12.402675

12.766764

13.304317

12.83127

12.034262

11.866297

14.032681

12.236717

12.386543

12.497581

12.4068

12.25514

12.457593

12.419177

12.486555

12.029907

12.817093

12.385985

hep-th/0112142

Dmitri Ryzhikh

L. Laperashvili (ITEP, Moscow, Russia), D. A. Ryzhikh (ITEP, Moscow, Russia)

[SU(5)]^3 SUSY unification

15 pages, 5 figures; submitted to Festschrift dedicated to the 60th jubilee of Holger Bech Nielsen

null

hep-th

null

In the present paper we demonstrate the possibility of the [SUSY(5)]^3 SUSY unification at the energy scale $\mu_{GUT}\approx 10^{18.3} GeV$ with the value of GUT inverse finestructure constant $\alpha_{GUT}^{-1}\approx 34.4$, which is very close to its critical value $\alpha_{5, crit}^{-1}\approx 34.0$, existing at the Planck scale.

[ { "created": "Mon, 17 Dec 2001 13:39:26 GMT", "version": "v1" } ]

2007-05-23

[ [ "Laperashvili", "L.", "", "ITEP, Moscow, Russia" ], [ "Ryzhikh", "D. A.", "", "ITEP, Moscow,\n Russia" ] ]

In the present paper we demonstrate the possibility of the [SUSY(5)]^3 SUSY unification at the energy scale $\mu_{GUT}\approx 10^{18.3} GeV$ with the value of GUT inverse finestructure constant $\alpha_{GUT}^{-1}\approx 34.4$, which is very close to its critical value $\alpha_{5, crit}^{-1}\approx 34.0$, existing at the Planck scale.

7.754646

8.188705

6.915319

6.318907

6.714125

8.086703

6.85761

7.922408

6.876537

7.844662

7.357231

7.010398

7.262703

6.861682

6.869227

6.799728

6.919176

6.854355

6.857941

6.97545

7.012963

hep-th/9210110

Jorge Pullin

R. Gambini, J. Pullin

Quantum Einstein-Maxwell Fields: A Unified Viewpoint from the Loop Representation

13pp. no figures, Revtex, UU-HEP-92/9, IFFI 92-11

Phys.Rev.D47:5214-5218,1993

10.1103/PhysRevD.47.R5214

null

hep-th gr-qc

null

We propose a naive unification of Electromagnetism and General Relativity based on enlarging the gauge group of Ashtekar's new variables. We construct the connection and loop representations and analyze the space of states. In the loop representation, the wavefunctions depend on two loops, each of them carrying information about both gravitation and electromagnetism. We find that the Chern-Simons form and the Jones Polynomial play a role in the model.

[ { "created": "Tue, 20 Oct 1992 17:18:14 GMT", "version": "v1" } ]

2009-12-30

[ [ "Gambini", "R.", "" ], [ "Pullin", "J.", "" ] ]

We propose a naive unification of Electromagnetism and General Relativity based on enlarging the gauge group of Ashtekar's new variables. We construct the connection and loop representations and analyze the space of states. In the loop representation, the wavefunctions depend on two loops, each of them carrying information about both gravitation and electromagnetism. We find that the Chern-Simons form and the Jones Polynomial play a role in the model.

10.33389

9.694997

9.898634

9.91836

10.482404

10.022614

9.503792

9.301416

10.077748

10.342359

9.307139

9.929902

9.74616

9.772239

9.551454

9.217415

9.543716

9.501863

9.861472

10.143098

9.589601

0708.2194

Eugenio R. Bezerra de Mello

E. R. Bezerra de Mello

Fermionic vacuum polarization in higher-dimensional global monopole spacetime

21 pages, 3 figures

Phys.Rev.D76:125021,2007

10.1103/PhysRevD.76.125021

null

hep-th gr-qc

null

In this paper we analyse the vacuum polarization effects associated with a massless fermionic field in a higher-dimensional global monopole spacetime in the "braneworld" scenario. In this context we admit that the our Universe, the bulk, is represented by a flat $(n-1)-$dimensional brane having a global monopole in a extra transverse three dimensional submanifold. We explicitly calculate the renormalized vacuum average of the energy-momentum tensor, $<T_A^B(x)>_{Ren.}$, admitting the global monopole as being a point-like object. We observe that this quantity depends crucially on the value of $n$, and we provide explicit expressions to it for specific values attributed to $n$.

[ { "created": "Thu, 16 Aug 2007 13:19:26 GMT", "version": "v1" } ]

2008-11-26

[ [ "de Mello", "E. R. Bezerra", "" ] ]

In this paper we analyse the vacuum polarization effects associated with a massless fermionic field in a higher-dimensional global monopole spacetime in the "braneworld" scenario. In this context we admit that the our Universe, the bulk, is represented by a flat $(n-1)-$dimensional brane having a global monopole in a extra transverse three dimensional submanifold. We explicitly calculate the renormalized vacuum average of the energy-momentum tensor, $<T_A^B(x)>_{Ren.}$, admitting the global monopole as being a point-like object. We observe that this quantity depends crucially on the value of $n$, and we provide explicit expressions to it for specific values attributed to $n$.

9.406955

8.27459

9.949448

8.189605

8.507895

7.803187

7.393046

7.756148

7.44479

9.913388

8.27332

8.620939

9.382396

8.71485

8.869025

8.750085

8.130925

8.724278

9.199785

9.318492

8.745531

1012.5559

Haiqing Zhang

Rong-Gen Cai, Zhang-Yu Nie and Hai-Qing Zhang

Holographic Phase Transitions of P-wave Superconductors in Gauss-Bonnet Gravity with Back-reaction

15 page,4 figures;Some refs added

Phys.Rev.D83:066013,2011

10.1103/PhysRevD.83.066013

null

hep-th

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

We investigate the phase transitions of holographic p-wave superconductors in (4+1)-dimensional Einstein-Yang-Mills-Gauss-Bonnet theories, in a grand canonical ensemble. Turning on the back-reaction of the Yang-Mills field, it is found that the condensations of vector order parameter become harder if the Gauss-Bonnet coefficient grows up or the back-reaction becomes stronger. In particular, the vector order parameter exhibits the features of first order and second order phase transitions, while only the second order phase transition is observed in the probe limit. We discuss the roles that the Gauss-Bonnet term and the back-reaction play in changing the order of phase transition.

[ { "created": "Mon, 27 Dec 2010 06:14:17 GMT", "version": "v1" }, { "created": "Fri, 14 Jan 2011 00:56:05 GMT", "version": "v2" } ]

2015-03-17

[ [ "Cai", "Rong-Gen", "" ], [ "Nie", "Zhang-Yu", "" ], [ "Zhang", "Hai-Qing", "" ] ]

We investigate the phase transitions of holographic p-wave superconductors in (4+1)-dimensional Einstein-Yang-Mills-Gauss-Bonnet theories, in a grand canonical ensemble. Turning on the back-reaction of the Yang-Mills field, it is found that the condensations of vector order parameter become harder if the Gauss-Bonnet coefficient grows up or the back-reaction becomes stronger. In particular, the vector order parameter exhibits the features of first order and second order phase transitions, while only the second order phase transition is observed in the probe limit. We discuss the roles that the Gauss-Bonnet term and the back-reaction play in changing the order of phase transition.

5.176767

4.579062

5.403205

4.601912

4.407616

4.797348

4.44082

4.737236

4.680616

5.033571

4.577247

4.898643

5.059137

4.900886

4.858284

4.910151

4.838315

4.84692

5.060313

5.078021

5.191182

hep-th/0505273

Noah Graham

E.Farhi, N. Graham, V. Khemani, R. Markov and R. Rosales

An Oscillon in the SU(2) Gauged Higgs Model

7 pages, 6 .eps figures, uses revtex4 and epsfig

Phys.Rev. D72 (2005) 101701

10.1103/PhysRevD.72.101701

MIT-CTP-3649

hep-th hep-ph nlin.PS

null

We study classical dynamics in the spherical ansatz for the SU(2) gauge and Higgs fields of the electroweak Standard Model in the absence of fermions and the photon. With the Higgs boson mass equal to twice the gauge boson mass, we numerically demonstrate the existence of oscillons, extremely long-lived localized configurations that undergo regular oscillations in time. We have only seen oscillons in this reduced theory when the masses are in a two-to-one ratio. If a similar phenomenon were to persist in the full theory, it would suggest a preferred value for the Higgs mass.

[ { "created": "Tue, 31 May 2005 15:31:12 GMT", "version": "v1" } ]

2009-11-11

[ [ "Farhi", "E.", "" ], [ "Graham", "N.", "" ], [ "Khemani", "V.", "" ], [ "Markov", "R.", "" ], [ "Rosales", "R.", "" ] ]

We study classical dynamics in the spherical ansatz for the SU(2) gauge and Higgs fields of the electroweak Standard Model in the absence of fermions and the photon. With the Higgs boson mass equal to twice the gauge boson mass, we numerically demonstrate the existence of oscillons, extremely long-lived localized configurations that undergo regular oscillations in time. We have only seen oscillons in this reduced theory when the masses are in a two-to-one ratio. If a similar phenomenon were to persist in the full theory, it would suggest a preferred value for the Higgs mass.

8.364649

7.091947

8.161739

7.358717

7.747694

7.509642

7.128498

7.561946

7.207246

8.38122

7.521891

7.689546

7.674584

7.639012

7.906394

7.886581

7.600489

7.642814

7.199145

7.578982

7.674708

hep-th/0701266

Supratik Pal

Supratik Pal (IUCAA, Pune and ISI Kolkata), Sayan Kar (IIT Kharagpur)

de Sitter branes with a bulk scalar

18 pages, 5 figures. Substantial changes and new results. To appear in GRG

Gen.Rel.Grav.41:1165-1179,2009

10.1007/s10714-008-0697-2

null

hep-th astro-ph gr-qc

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

We propose new braneworld models arising from a scalar field in the bulk. In these examples, the induced on--brane line element is de Sitter (or anti de Sitter) and the bulk (five dimensional) Einstein equations can be exactly solved to obtain warped spacetimes. The solutions thus derived are single and two-brane models -- one with {\em thin} branes while the other one of the {\em thick} variety. The field profiles and the potentials are obtained and analysed for each case. We note that for the {\em thick} brane scenario the field profile resembles a kink, whereas for one or more {\em thin} branes, it is finite and bounded in the domain of the extra dimension. We have also addressed the localisation of gravity and other matter fields on the brane for these braneworld models.

[ { "created": "Mon, 29 Jan 2007 17:00:30 GMT", "version": "v1" }, { "created": "Wed, 16 May 2007 12:25:51 GMT", "version": "v2" }, { "created": "Fri, 3 Oct 2008 08:39:23 GMT", "version": "v3" } ]

2009-05-05

[ [ "Pal", "Supratik", "", "IUCAA, Pune and ISI Kolkata" ], [ "Kar", "Sayan", "", "IIT Kharagpur" ] ]

We propose new braneworld models arising from a scalar field in the bulk. In these examples, the induced on--brane line element is de Sitter (or anti de Sitter) and the bulk (five dimensional) Einstein equations can be exactly solved to obtain warped spacetimes. The solutions thus derived are single and two-brane models -- one with {\em thin} branes while the other one of the {\em thick} variety. The field profiles and the potentials are obtained and analysed for each case. We note that for the {\em thick} brane scenario the field profile resembles a kink, whereas for one or more {\em thin} branes, it is finite and bounded in the domain of the extra dimension. We have also addressed the localisation of gravity and other matter fields on the brane for these braneworld models.

10.874538

10.037096

10.676332

9.95953

10.397902

10.23802

10.579649

10.82094

10.059324

11.190249

10.190522

10.174945

10.306531

9.907495

10.190486

10.260481

10.315989

10.281054

10.514465

10.697369

10.226696

0804.0324

Till Bargheer

Till Bargheer, Niklas Beisert, Nikolay Gromov

Quantum Stability for the Heisenberg Ferromagnet

82 pages, a figure a page or so

New J. Phys. 10 (2008) 103023

10.1088/1367-2630/10/10/103023

AEI-2008-010, LPTENS 08/19, SPhT-t08/051

hep-th cond-mat.stat-mech math-ph math.MP

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

Highly spinning classical strings on RxS^3 are described by the Landau-Lifshitz model or equivalently by the Heisenberg ferromagnet in the thermodynamic limit. The spectrum of this model can be given in terms of spectral curves. However, it is a priori not clear whether any given admissible spectral curve can actually be realised as a solution to the discrete Bethe equations, a property which can be referred to as stability. In order to study the issue of stability, we find and explore the general two-cut solution or elliptic curve. It turns out that the moduli space of this elliptic curve shows a surprisingly rich structure. We present the various cases with illustrations and thus gain some insight into the features of multi-cut solutions. It appears that all admissible spectral curves are indeed stable if the branch cuts are positioned in a suitable, non-trivial fashion.

[ { "created": "Wed, 2 Apr 2008 10:33:15 GMT", "version": "v1" } ]

2008-10-31

[ [ "Bargheer", "Till", "" ], [ "Beisert", "Niklas", "" ], [ "Gromov", "Nikolay", "" ] ]

Highly spinning classical strings on RxS^3 are described by the Landau-Lifshitz model or equivalently by the Heisenberg ferromagnet in the thermodynamic limit. The spectrum of this model can be given in terms of spectral curves. However, it is a priori not clear whether any given admissible spectral curve can actually be realised as a solution to the discrete Bethe equations, a property which can be referred to as stability. In order to study the issue of stability, we find and explore the general two-cut solution or elliptic curve. It turns out that the moduli space of this elliptic curve shows a surprisingly rich structure. We present the various cases with illustrations and thus gain some insight into the features of multi-cut solutions. It appears that all admissible spectral curves are indeed stable if the branch cuts are positioned in a suitable, non-trivial fashion.

10.443385

10.325162

11.375749

9.575011

10.301738

10.47941

10.616497

10.244711

9.987575

11.668389

9.7808

9.331558

10.589923

9.535694

9.538125

9.589864

9.510592

9.51678

9.857758

10.386461

9.627422

hep-th/0208079

Yosuke Imamura

Open string - BMN operator correspondence in the weak coupling regime

25 pages, 2 figures, PTPTeX, typos corrected

Prog.Theor.Phys. 108 (2003) 1077-1097

10.1143/PTP.108.1077

UT-02-41

hep-th

null

We reproduce the correspondence between open string states |n> and BMN operators O_n in N=2 supersymmetric gauge theory using a worldsheet computation with the relation <B|n>=O_n, where <B| is a boundary state of D3-branes. We regard the NS ground states and their excitations with respect to a bosonic oscillator as the states |n> and obtain a chiral operator and BMN operators, respectively, in correspondence to them. Because we take the coupling constant to be weak and the background spacetime to be flat Minkowski, not AdS, the string states |n> are circular waves around the D3-branes, instead of KK modes on S^5. We also discuss the 1/J correction to the correspondence.

[ { "created": "Mon, 12 Aug 2002 09:09:43 GMT", "version": "v1" }, { "created": "Fri, 16 Aug 2002 09:50:40 GMT", "version": "v2" }, { "created": "Tue, 12 Nov 2002 03:13:48 GMT", "version": "v3" } ]

2009-11-07

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

We reproduce the correspondence between open string states |n> and BMN operators O_n in N=2 supersymmetric gauge theory using a worldsheet computation with the relation <B|n>=O_n, where <B| is a boundary state of D3-branes. We regard the NS ground states and their excitations with respect to a bosonic oscillator as the states |n> and obtain a chiral operator and BMN operators, respectively, in correspondence to them. Because we take the coupling constant to be weak and the background spacetime to be flat Minkowski, not AdS, the string states |n> are circular waves around the D3-branes, instead of KK modes on S^5. We also discuss the 1/J correction to the correspondence.

11.3202

10.748733

12.597364

10.661594

11.107629

10.904517

10.35192

11.306561

10.380095

12.494548

10.458242

10.070279

10.560852

10.164272

10.46325

10.431741

10.424041

10.140939

10.155993

10.59647

9.565033

1710.10409

Carlo Pagani

C. Pagani, H. Sonoda

On the geometry of the theory space in the ERG formalism

23 pages

Phys. Rev. D 97, 025015 (2018)

10.1103/PhysRevD.97.025015

null

hep-th

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

We consider the theory space as a manifold whose coordinates are given by the couplings appearing in the Wilson action. We discuss how to introduce connections on this theory space. A particularly intriguing connection can be defined directly from the solution of the exact renormalization group (ERG) equation. We advocate a geometric viewpoint that lets us define straightforwardly physically relevant quantities invariant under the changes of a renormalization scheme.

[ { "created": "Sat, 28 Oct 2017 07:29:19 GMT", "version": "v1" }, { "created": "Fri, 26 Jan 2018 15:12:32 GMT", "version": "v2" } ]

2018-01-31

[ [ "Pagani", "C.", "" ], [ "Sonoda", "H.", "" ] ]

We consider the theory space as a manifold whose coordinates are given by the couplings appearing in the Wilson action. We discuss how to introduce connections on this theory space. A particularly intriguing connection can be defined directly from the solution of the exact renormalization group (ERG) equation. We advocate a geometric viewpoint that lets us define straightforwardly physically relevant quantities invariant under the changes of a renormalization scheme.

13.213433

10.324019

12.176753

10.749043

11.178912

11.547747

11.041256

10.964802

11.65101

13.253851

11.074804

11.562238

12.660975

12.488919

12.05265

11.812143

12.227262

12.289925

11.94346

12.800114

11.893894

hep-th/0303159

Vishesh Khemani

E. Farhi, N. Graham, R.L. Jaffe, V. Khemani, H. Weigel

Heavy Fermion Quantum Effects in SU(2)_L Gauge Theory

30 pages LaTeX, 3 eps-figures

Nucl.Phys. B665 (2003) 623-648

10.1016/S0550-3213(03)00487-5

MIT-CTP-3350, UNITU-HEP-4/2003

hep-th hep-ph nucl-th

null

We explore the effects of a heavy fermion doublet in a simplified version of the standard electroweak theory. We integrate out the doublet and compute the exact effective energy functional of spatially varying gauge and Higgs fields. We perform a variational search for a local minimum of the effective energy and do not find evidence for a soliton carrying the quantum numbers of the decoupled fermion doublet. The fermion vacuum polarization energy offsets the gain in binding energy previously argued to be sufficient to stabilize a fermionic soliton. The existence of such a soliton would have been a natural way to maintain anomaly cancellation at the level of the states. We also see that the sphaleron energy is significantly increased due to the quantum corrections of the heavy doublet. We find that when the doublet is slightly heavier than the quantum--corrected sphaleron, its decay is exponentially suppressed owing to a new barrier. This barrier exists only for an intermediate range of fermion masses, and a heavy enough doublet is indeed unstable.

[ { "created": "Tue, 18 Mar 2003 17:26:03 GMT", "version": "v1" } ]

2009-11-10

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

We explore the effects of a heavy fermion doublet in a simplified version of the standard electroweak theory. We integrate out the doublet and compute the exact effective energy functional of spatially varying gauge and Higgs fields. We perform a variational search for a local minimum of the effective energy and do not find evidence for a soliton carrying the quantum numbers of the decoupled fermion doublet. The fermion vacuum polarization energy offsets the gain in binding energy previously argued to be sufficient to stabilize a fermionic soliton. The existence of such a soliton would have been a natural way to maintain anomaly cancellation at the level of the states. We also see that the sphaleron energy is significantly increased due to the quantum corrections of the heavy doublet. We find that when the doublet is slightly heavier than the quantum--corrected sphaleron, its decay is exponentially suppressed owing to a new barrier. This barrier exists only for an intermediate range of fermion masses, and a heavy enough doublet is indeed unstable.

10.461405

9.866274

10.857434

10.013752

10.724338

10.795064

10.186432

9.826376

10.273923

11.592811

10.212863

9.953552

9.941031

9.819722

10.044222

9.79944

9.987494

9.633257

9.62706

9.991118

9.723779

1408.4808

Hernan Piragua

Denis Klevers and Damian Kaloni Mayorga Pena and Paul-Konstantin Oehlmann and Hernan Piragua and Jonas Reuter

F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches

129 pages, 32 figures, 44 tables v2: minor changes, references added

null

10.1007/JHEP01(2015)142

null

hep-th hep-ph math.AG

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

We consider F-theory compactifications on genus-one fibered Calabi-Yau manifolds with their fibers realized as hypersurfaces in the toric varieties associated to the 16 reflexive 2D polyhedra. We present a base-independent analysis of the codimension one, two and three singularities of these fibrations. We use these geometric results to determine the gauge groups, matter representations, 6D matter multiplicities and 4D Yukawa couplings of the corresponding effective theories. All these theories have a non-trivial gauge group and matter content. We explore the network of Higgsings relating these theories. Such Higgsings geometrically correspond to extremal transitions induced by blow-ups in the 2D toric varieties. We recover the 6D effective theories of all 16 toric hypersurface fibrations by repeatedly Higgsing the theories that exhibit Mordell-Weil torsion. We find that the three Calabi-Yau manifolds without section, whose fibers are given by the toric hypersurfaces in P^2, P^1x P^1 and the recently studied P^2(1,1,2), yield F-theory realizations of SUGRA theories with discrete gauge groups Z_3, Z_2 and Z_4. This opens up a whole new arena for model building with discrete global symmetries in F-theory. In these three manifolds, we also find codimension two I_2-fibers supporting matter charged only under these discrete gauge groups. Their 6D matter multiplicities are computed employing ideal techniques and the associated Jacobian fibrations. We also show that the Jacobian of the biquadric fibration has one rational section, yielding one U(1)-gauge field in F-theory. Furthermore, the elliptically fibered Calabi-Yau manifold based on dP_1 has a U(1)-gauge field induced by a non-toric rational section. In this model, we find the first F-theory realization of matter with U(1)-charge q=3.

[ { "created": "Wed, 20 Aug 2014 20:03:40 GMT", "version": "v1" }, { "created": "Tue, 2 Sep 2014 22:21:26 GMT", "version": "v2" } ]

2015-06-22

[ [ "Klevers", "Denis", "" ], [ "Pena", "Damian Kaloni Mayorga", "" ], [ "Oehlmann", "Paul-Konstantin", "" ], [ "Piragua", "Hernan", "" ], [ "Reuter", "Jonas", "" ] ]

We consider F-theory compactifications on genus-one fibered Calabi-Yau manifolds with their fibers realized as hypersurfaces in the toric varieties associated to the 16 reflexive 2D polyhedra. We present a base-independent analysis of the codimension one, two and three singularities of these fibrations. We use these geometric results to determine the gauge groups, matter representations, 6D matter multiplicities and 4D Yukawa couplings of the corresponding effective theories. All these theories have a non-trivial gauge group and matter content. We explore the network of Higgsings relating these theories. Such Higgsings geometrically correspond to extremal transitions induced by blow-ups in the 2D toric varieties. We recover the 6D effective theories of all 16 toric hypersurface fibrations by repeatedly Higgsing the theories that exhibit Mordell-Weil torsion. We find that the three Calabi-Yau manifolds without section, whose fibers are given by the toric hypersurfaces in P^2, P^1x P^1 and the recently studied P^2(1,1,2), yield F-theory realizations of SUGRA theories with discrete gauge groups Z_3, Z_2 and Z_4. This opens up a whole new arena for model building with discrete global symmetries in F-theory. In these three manifolds, we also find codimension two I_2-fibers supporting matter charged only under these discrete gauge groups. Their 6D matter multiplicities are computed employing ideal techniques and the associated Jacobian fibrations. We also show that the Jacobian of the biquadric fibration has one rational section, yielding one U(1)-gauge field in F-theory. Furthermore, the elliptically fibered Calabi-Yau manifold based on dP_1 has a U(1)-gauge field induced by a non-toric rational section. In this model, we find the first F-theory realization of matter with U(1)-charge q=3.

6.314018

7.128705

7.701141

6.668134

6.971228

6.973883

7.279272

6.923761

6.848194

8.519115

6.592505

6.480509

6.871747

6.563164

6.499221

6.482358

6.617822

6.504703

6.555319

7.051098

6.410882

1204.0676

Ulf Lindstr\"om

Ulf Lindstrom

Complex Geometry and Supersymmetry

9 pages, Proceedings of the Corfu Summer Institute 2011 School and Workshops on Elementary Particle Physics and Gravity September 4-18, 2011 Corfu, Greece

null

UUITP-08/12

hep-th

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

I stress how the form of sigma models with (2, 2) supersymmetry differs depending on the number of manifest supersymmetries. The differences correspond to different aspects/formulations of Generalized K\"ahler Geometry.

[ { "created": "Tue, 3 Apr 2012 12:27:09 GMT", "version": "v1" } ]

2012-04-04

[ [ "Lindstrom", "Ulf", "" ] ]

I stress how the form of sigma models with (2, 2) supersymmetry differs depending on the number of manifest supersymmetries. The differences correspond to different aspects/formulations of Generalized K\"ahler Geometry.

25.423124

14.888534

22.965973

14.701835

16.182413

14.488812

14.65607

14.508924

14.941225

16.486258

16.386452

15.566126

20.259922

16.422861

15.483906

15.286476

14.950419

15.008171

15.05527

20.368444

16.300797

hep-th/0211028

Toby Wiseman

T. Wiseman

From Black Strings to Black Holes

6 pages, 5 figures, RevTeX

Class.Quant.Grav. 20 (2003) 1177-1186

10.1088/0264-9381/20/6/309

DAMTP-2002-134

hep-th

null

Using recently developed numerical methods, we examine neutral compactified non-uniform black strings which connect to the Gregory-Laflamme critical point. By studying the geometry of the horizon we give evidence that this branch of solutions may connect to the black hole solutions, as conjectured by Kol. We find the geometry of the topology changing solution is likely to be nakedly singular at the point where the horizon radius is zero. We show that these solutions can all be expressed in the coordinate system discussed by Harmark and Obers.

[ { "created": "Tue, 5 Nov 2002 12:26:03 GMT", "version": "v1" } ]

2017-08-23

[ [ "Wiseman", "T.", "" ] ]

Using recently developed numerical methods, we examine neutral compactified non-uniform black strings which connect to the Gregory-Laflamme critical point. By studying the geometry of the horizon we give evidence that this branch of solutions may connect to the black hole solutions, as conjectured by Kol. We find the geometry of the topology changing solution is likely to be nakedly singular at the point where the horizon radius is zero. We show that these solutions can all be expressed in the coordinate system discussed by Harmark and Obers.

13.438117

13.69043

14.966264

13.54526

12.969422

13.344739

14.222551

13.428236

12.804048

14.368891

13.040308

11.863766

13.869703

13.087049

13.008029

12.44583

13.017154

12.553637

12.773837

14.00559

12.212998

hep-th/9506115

null

Enrique Alvarez, J.M. Gracia-Bond\'ia and C.P. Mart\'in

Anomaly Cancellation and gauge group of the standard model in NCG

10 pages, plain TeX.(TeX errors fixed)

Phys.Lett. B364 (1995) 33-40

10.1016/0370-2693(95)01051-3

FT/UCM/7/95;FTUAM-95100

hep-th

null

It is well known that anomaly cancellation {\it almost} determines the hypercharges in the standard model. A related (and somewhat more stronger) phenomenon takes place in Connes' NCG framework: unimodularity (a technical condition on elements of the algebra) is {\it strictly} equivalent to anomaly cancellation (in the absence of right-handed neutrinos); and this in turn reduces the symmetry group of the theory to the standard $SU(3)\times SU(2) \times U(1)$.

[ { "created": "Mon, 19 Jun 1995 09:08:02 GMT", "version": "v1" }, { "created": "Tue, 20 Jun 1995 09:15:50 GMT", "version": "v2" } ]

2019-08-17

[ [ "Alvarez", "Enrique", "" ], [ "Gracia-Bondía", "J. M.", "" ], [ "Martín", "C. P.", "" ] ]

It is well known that anomaly cancellation {\it almost} determines the hypercharges in the standard model. A related (and somewhat more stronger) phenomenon takes place in Connes' NCG framework: unimodularity (a technical condition on elements of the algebra) is {\it strictly} equivalent to anomaly cancellation (in the absence of right-handed neutrinos); and this in turn reduces the symmetry group of the theory to the standard $SU(3)\times SU(2) \times U(1)$.

10.794299

9.169668

9.833313

9.341239

9.897072

8.6803

10.141306

9.240593

9.292965

12.137527

9.230714

9.524778

9.715647

9.325729

9.361604

9.264341

9.254409

9.072472

9.298199

9.655798

9.724105

2103.00257

Hao Xu

Chen-Hao Wu, Ya-Peng Hu, Hao Xu

Hawking evaporation of Einstein-Gauss-Bonnet AdS black holes in $D\geqslant 4$ dimensions

14 pages, 8 figures; v2: references added, minor corrections, submitted to journal;v3: minor corrections, published in EPJC;v4: one typo in Eq(9) fixed

Eur. Phys. J. C 81, 351 (2021)

10.1140/epjc/s10052-021-09140-6

null

hep-th gr-qc

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

Einstein-Gauss-Bonnet theory is a string-generated gravity theory when approaching the low energy limit. By introducing the higher order curvature terms, this theory is supposed to help to solve the black hole singularity problem. In this work, we investigate the evaporation of the static spherically symmetric neutral AdS black holes in Einstein-Gauss-Bonnet gravity in various spacetime dimensions with both positive and negative couping constant $\alpha$. By summarizing the asymptotic behavior of the evaporation process, we find the lifetime of the black holes is dimensional dependent. For $\alpha>0$, in $D\geqslant6$ cases, the black holes will be completely evaporated in a finite time, which resembles the Schwarzschild-AdS case in Einstein gravity. While in $D=4,5$ cases, the black hole lifetime is always infinite, which means the black hole becomes a remnant in the late time. Remarkably, the cases of $\alpha>0, D=4,5$ will solve the terminal temperature divergent problem of the Schwarzschild-AdS case. For $\alpha<0$, in all dimensions, the black hole will always spend a finite time to a minimal mass corresponding to the smallest horizon radius $r_{min}=\sqrt{2|\alpha|}$ which coincide with an additional singularity. This implies that there may exist constraint conditions to the choice of coupling constant.

[ { "created": "Sat, 27 Feb 2021 15:56:17 GMT", "version": "v1" }, { "created": "Sat, 6 Mar 2021 09:17:50 GMT", "version": "v2" }, { "created": "Sun, 25 Apr 2021 08:25:40 GMT", "version": "v3" }, { "created": "Mon, 21 Nov 2022 06:30:54 GMT", "version": "v4" } ]

2022-11-22

[ [ "Wu", "Chen-Hao", "" ], [ "Hu", "Ya-Peng", "" ], [ "Xu", "Hao", "" ] ]

Einstein-Gauss-Bonnet theory is a string-generated gravity theory when approaching the low energy limit. By introducing the higher order curvature terms, this theory is supposed to help to solve the black hole singularity problem. In this work, we investigate the evaporation of the static spherically symmetric neutral AdS black holes in Einstein-Gauss-Bonnet gravity in various spacetime dimensions with both positive and negative couping constant $\alpha$. By summarizing the asymptotic behavior of the evaporation process, we find the lifetime of the black holes is dimensional dependent. For $\alpha>0$, in $D\geqslant6$ cases, the black holes will be completely evaporated in a finite time, which resembles the Schwarzschild-AdS case in Einstein gravity. While in $D=4,5$ cases, the black hole lifetime is always infinite, which means the black hole becomes a remnant in the late time. Remarkably, the cases of $\alpha>0, D=4,5$ will solve the terminal temperature divergent problem of the Schwarzschild-AdS case. For $\alpha<0$, in all dimensions, the black hole will always spend a finite time to a minimal mass corresponding to the smallest horizon radius $r_{min}=\sqrt{2|\alpha|}$ which coincide with an additional singularity. This implies that there may exist constraint conditions to the choice of coupling constant.

6.468991

6.554422

6.339793

6.076377

6.399849

6.646146

6.985122

6.283037

6.233832

7.051646

6.593796

6.192473

6.157358

6.048528

6.080524

6.166495

6.280054

6.084556

6.140532

6.224903

6.295465

1908.05330

E. Aldo Arroyo

E. Aldo Arroyo, Mat\v{e}j Kudrna

Numerical solution for tachyon vacuum in the Schnabl gauge

31 pages, 3 figures, appendix A added

JHEP02(2020)065

10.1007/JHEP02(2020)065

null

hep-th

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

Based on the level truncation scheme, we develop a new numerical method to evaluate the tachyon vacuum solution in the Schnabl gauge up to level $L=24$. We confirm the prediction that the energy associated to this numerical solution has a local minimum at level $L=12$. Extrapolating the energy data of $L \leq 24$ to infinite level, we observe that the energy goes towards the analytical value $-1$, nevertheless the precision of the extrapolation is lower than in the Siegel gauge. Furthermore, we analyze the Ellwood invariant and show that its value converges monotonically towards the expected analytical result. We also study the tachyon vacuum expectation value (vev) and some other coefficients of the solution. Finally, some consistency checks of the solution are performed, and we briefly discuss the search for other Schnabl gauge numerical solutions.

[ { "created": "Wed, 14 Aug 2019 20:02:01 GMT", "version": "v1" }, { "created": "Tue, 3 Sep 2019 17:06:24 GMT", "version": "v2" }, { "created": "Thu, 7 Nov 2019 03:21:07 GMT", "version": "v3" } ]

2020-02-14

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

Based on the level truncation scheme, we develop a new numerical method to evaluate the tachyon vacuum solution in the Schnabl gauge up to level $L=24$. We confirm the prediction that the energy associated to this numerical solution has a local minimum at level $L=12$. Extrapolating the energy data of $L \leq 24$ to infinite level, we observe that the energy goes towards the analytical value $-1$, nevertheless the precision of the extrapolation is lower than in the Siegel gauge. Furthermore, we analyze the Ellwood invariant and show that its value converges monotonically towards the expected analytical result. We also study the tachyon vacuum expectation value (vev) and some other coefficients of the solution. Finally, some consistency checks of the solution are performed, and we briefly discuss the search for other Schnabl gauge numerical solutions.

10.744256

9.213359

11.092484

8.431009

9.255324

8.956493

8.306693

9.053869

8.298761

12.908184

8.581211

8.901359

9.404264

8.975415

8.890639

8.689293

8.734098

9.125483

8.742077

9.464292

8.749727

2009.06830

Jie Jiang

Jie Jiang and Ming Zhang

Holographic Complexity in a Charged Supersymmetric Black Holes

8 pages, 3 figures, and this paper has been accepted by PRD

Phys. Rev. D 102, 084010 (2020)

10.1103/PhysRevD.102.084010

null

hep-th gr-qc

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

For an ordinary charged system, it has been shown that by using the "complexity equals action" (CA) conjecture, the late-time growth rate of the holographic complexity is given by a difference between the value of $\Phi_H Q+\Omega_H J$ on the inner and outer horizons. In this paper, we study the influence of the chiral anomaly on the complexity of the boundary quantum system. To be specific, we evaluate the CA holographic complexity of the charged supersymmetric black holes whose bulk action is modified by an additional Chern-Simons term of the electromagnetic fields. As a result, the late-time growth rate of the complexity will be corrected by some additional terms on the inner and outer horizons than the ordinary charged black holes. Our work implies that the late-time growth rate of the complexity can carry the information of the chiral anomaly for the boundary system.

[ { "created": "Tue, 15 Sep 2020 02:14:21 GMT", "version": "v1" } ]

2020-10-14

[ [ "Jiang", "Jie", "" ], [ "Zhang", "Ming", "" ] ]

For an ordinary charged system, it has been shown that by using the "complexity equals action" (CA) conjecture, the late-time growth rate of the holographic complexity is given by a difference between the value of $\Phi_H Q+\Omega_H J$ on the inner and outer horizons. In this paper, we study the influence of the chiral anomaly on the complexity of the boundary quantum system. To be specific, we evaluate the CA holographic complexity of the charged supersymmetric black holes whose bulk action is modified by an additional Chern-Simons term of the electromagnetic fields. As a result, the late-time growth rate of the complexity will be corrected by some additional terms on the inner and outer horizons than the ordinary charged black holes. Our work implies that the late-time growth rate of the complexity can carry the information of the chiral anomaly for the boundary system.

8.072477

6.802792

8.516003

6.824132

7.244714

6.782945

6.825275

6.755759

6.806904

8.520907

6.444415

6.672007

7.369088

6.845474

6.856654

7.103951

6.92627

6.688288

6.783651

7.234092

6.765629

1612.00140

Ayan Mukhopadhyay

Ayan Mukhopadhyay and Florian Preis

Semiholography for heavy ion collisions

12 pages; 3 figures; Proceedings of Confinement XII @ Thessaloniki, Greece -- August 28 to September 4, 2016

null

10.1051/epjconf/201713707015

null

hep-th hep-ph

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

The formation of QGP in heavy ion collisions gives us a great opportunity for learning about nonperturbative dynamics of QCD. Semiholography provides a new consistent framework to combine perturbative and non-perturbative effects in a coherent way and can be applied to obtain an effective description for heavy ion collisions. In particular, it allows us to include nonperturbative effects in existing glasma effective theory and QCD kinetic theory for the weakly coupled saturated degrees of freedom liberated by the collisions in the initial stages in a consistent manner. We argue why the full framework should be able to confront experiments with only a few phenomenological parameters and present feasibility tests for the necessary numerical computations. Furthermore, we discuss that semiholography leads to a new description of collective flow in the form of a generalised non-Newtonian fluid. We discuss some open questions which we hope to answer in the near future.

[ { "created": "Thu, 1 Dec 2016 04:52:07 GMT", "version": "v1" } ]

2017-03-27

[ [ "Mukhopadhyay", "Ayan", "" ], [ "Preis", "Florian", "" ] ]

The formation of QGP in heavy ion collisions gives us a great opportunity for learning about nonperturbative dynamics of QCD. Semiholography provides a new consistent framework to combine perturbative and non-perturbative effects in a coherent way and can be applied to obtain an effective description for heavy ion collisions. In particular, it allows us to include nonperturbative effects in existing glasma effective theory and QCD kinetic theory for the weakly coupled saturated degrees of freedom liberated by the collisions in the initial stages in a consistent manner. We argue why the full framework should be able to confront experiments with only a few phenomenological parameters and present feasibility tests for the necessary numerical computations. Furthermore, we discuss that semiholography leads to a new description of collective flow in the form of a generalised non-Newtonian fluid. We discuss some open questions which we hope to answer in the near future.

10.882861

12.141944

11.636668

10.88964

11.071465

12.217498

11.46807

12.041183

11.288732

11.786718

11.786319

11.34161

10.754408

10.903436

11.026666

10.95226

10.535203

10.649517

10.821223

10.59141

10.604223

hep-th/9205015

Ignatios Antoniadis

I. Antoniadis, P.O. Mazur and E. Mottola

Conformal Symmetry and Central Charges in 4 Dimensions

20 pages, corrected tex version

Nucl.Phys. B388 (1992) 627-647

10.1016/0550-3213(92)90557-R

null

hep-th

null

The trace anomaly of matter in curved space generates an effective action for the conformal factor of the metric tensor in $D=4$ dimensions, analogous to the Polyakov action for $D=2$. We compute the contributions of the reparameterization ghosts to the central charges for $D=4$, as well as the quantum contribution of the conformal factor itself. The ghost contribution satisfies the necessary Wess-Zumino consistency condition only if combined with the spin-2 modes, whose contributions to the trace anomaly we also discuss.

[ { "created": "Thu, 7 May 1992 18:35:35 GMT", "version": "v1" }, { "created": "Mon, 18 May 1992 17:55:01 GMT", "version": "v2" } ]

2009-10-22

[ [ "Antoniadis", "I.", "" ], [ "Mazur", "P. O.", "" ], [ "Mottola", "E.", "" ] ]

The trace anomaly of matter in curved space generates an effective action for the conformal factor of the metric tensor in $D=4$ dimensions, analogous to the Polyakov action for $D=2$. We compute the contributions of the reparameterization ghosts to the central charges for $D=4$, as well as the quantum contribution of the conformal factor itself. The ghost contribution satisfies the necessary Wess-Zumino consistency condition only if combined with the spin-2 modes, whose contributions to the trace anomaly we also discuss.

8.981876

8.395095

9.346755

8.307487

9.254308

9.176991

8.420415

8.662843

8.690341

9.378128

8.65714

8.58838

8.700624

8.640286

8.515581

8.098892

8.551631

8.40984

8.310843

8.779536

8.591451

hep-th/9909094

Alexander Sevrin

Xavier Bekaert, Marc Henneaux and Alexander Sevrin

Deformations of Chiral Two-Forms in Six Dimensions

7 pages, LaTeX, minor corrections, assumptions more clearly stated, final version which will appear in Phys. Lett. B

Phys.Lett. B468 (1999) 228-232

10.1016/S0370-2693(99)01239-3

ULB-TH/99-15, VUB/TENA/99/7

hep-th

null

Motivated by a system consisting of a number of parallel M5-branes, we study possible local deformations of a chiral two-form in six dimensions. Working to first order in the coupling constant, this reduces to the study of the local BRST cohomological group at ghost number zero. We obtain an exhaustive list of all possible deformations. None of them allows for a satisfactory formulation of the M5-branes system leading to the conclusion that no local field theory can describe such a system.

[ { "created": "Tue, 14 Sep 1999 11:48:18 GMT", "version": "v1" }, { "created": "Wed, 27 Oct 1999 08:15:04 GMT", "version": "v2" } ]

2009-10-31

[ [ "Bekaert", "Xavier", "" ], [ "Henneaux", "Marc", "" ], [ "Sevrin", "Alexander", "" ] ]

Motivated by a system consisting of a number of parallel M5-branes, we study possible local deformations of a chiral two-form in six dimensions. Working to first order in the coupling constant, this reduces to the study of the local BRST cohomological group at ghost number zero. We obtain an exhaustive list of all possible deformations. None of them allows for a satisfactory formulation of the M5-branes system leading to the conclusion that no local field theory can describe such a system.

11.642101

8.240003

11.824077

10.561827

9.169391

7.934913

8.502372

8.611501

8.731132

12.79863

8.847853

9.914643

11.20089

10.061164

10.549623

10.410855

9.831733

10.279288

10.14185

11.490813

10.6071

0808.3832

Vitaly Velizhanin

V.N. Velizhanin (St. Petersburg, INP)

The Four-Loop Konishi in N=4 SYM

7 pages, some detailes of calculations added

JETP Lett.89:6-9,2009

10.1134/S0021364009010020

null

hep-th

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

We present the result of a full direct component calculation for the planar four-loop anomalous dimension of the Konishi operator in N =4 Supersymmetric Yang-Mills theory. Our result confirms the results obtained from superfield (arXiv:0712.3522, arXiv:0806.2095) and superstring (arXiv:0807.0399) computations, which take into account finite size corrections to the all-loop asymptotic Bethe ansatz for the integrable models describing the spectrum of the anomalous dimensions of the gauge-invariant operators and the spectrum of the string states in the framework of the gauge/string duality.

[ { "created": "Thu, 28 Aug 2008 05:49:20 GMT", "version": "v1" }, { "created": "Mon, 15 Sep 2008 16:17:00 GMT", "version": "v2" }, { "created": "Fri, 21 Nov 2008 20:55:43 GMT", "version": "v3" } ]

2009-12-10

[ [ "Velizhanin", "V. N.", "", "St. Petersburg, INP" ] ]

We present the result of a full direct component calculation for the planar four-loop anomalous dimension of the Konishi operator in N =4 Supersymmetric Yang-Mills theory. Our result confirms the results obtained from superfield (arXiv:0712.3522, arXiv:0806.2095) and superstring (arXiv:0807.0399) computations, which take into account finite size corrections to the all-loop asymptotic Bethe ansatz for the integrable models describing the spectrum of the anomalous dimensions of the gauge-invariant operators and the spectrum of the string states in the framework of the gauge/string duality.

8.407993

7.112418

10.08702

7.397888

7.501149

7.07083

7.791793

6.86955

7.198209

10.227957

7.035078

7.206786

8.416001

7.410572

7.565664

7.44854

7.453219

7.829303

7.710397

8.271657

7.426805

1707.01270

Viktor Abramov

Matrix 3-Lie superalgebras and BRST supersymmetry

18 pages, manuscript is accepted for publication in International Journal of Geometric Methods in Modern Physics

null

10.1142/S0219887817501602

null

hep-th math.RA

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

Given a matrix Lie algebra one can construct the 3-Lie algebra by means of the trace of a matrix. In the present paper we show that this approach can be extended to the infinite-dimensional Lie algebra of vector fields on a manifold if instead of the trace of a matrix we consider a differential 1-form which satisfies certain conditions. Then we show that the same approach can be extended to matrix Lie superalgebras if instead of the trace of a matrix we make use of the super trace of a matrix. It is proved that a graded triple commutator of matrices constructed with the help of the graded commutator and the super trace satisfies a graded ternary Filippov-Jacobi identity. In two particular cases and we show that the Pauli and Dirac matrices generate the matrix 3-Lie superalgebras, and we find the non-trivial graded triple commutators of these algebras. We propose a Clifford algebra approach to 3-Lie superalgebras induced by Lie superalgebras. We also discuss an application of matrix 3-Lie superalgebras in BRST-formalism.

[ { "created": "Wed, 5 Jul 2017 09:23:43 GMT", "version": "v1" } ]

2017-11-22

[ [ "Abramov", "Viktor", "" ] ]

Given a matrix Lie algebra one can construct the 3-Lie algebra by means of the trace of a matrix. In the present paper we show that this approach can be extended to the infinite-dimensional Lie algebra of vector fields on a manifold if instead of the trace of a matrix we consider a differential 1-form which satisfies certain conditions. Then we show that the same approach can be extended to matrix Lie superalgebras if instead of the trace of a matrix we make use of the super trace of a matrix. It is proved that a graded triple commutator of matrices constructed with the help of the graded commutator and the super trace satisfies a graded ternary Filippov-Jacobi identity. In two particular cases and we show that the Pauli and Dirac matrices generate the matrix 3-Lie superalgebras, and we find the non-trivial graded triple commutators of these algebras. We propose a Clifford algebra approach to 3-Lie superalgebras induced by Lie superalgebras. We also discuss an application of matrix 3-Lie superalgebras in BRST-formalism.

6.125548

7.1275

7.016403

6.408911

6.734029

6.590992

6.838513

6.472684

6.758547

7.984558

6.495634

6.308063

6.34106

6.279267

6.158676

6.020655

6.041701

6.029778

6.196476

6.634273

6.170399

2308.10225

Cyril Closset

Cyril Closset and Horia Magureanu

Reading between the rational sections: Global structures of 4d $\mathcal{N}=2$ KK theories

62 pages plus appendix; v2: added section 2.3 on non-invertible symmetry in the SO(3) theory, fixed typos and references; v3: minor rewriting of appendix A.5

SciPost Phys. 16, 137 (2024)

10.21468/SciPostPhys.16.5.137

null

hep-th

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

We study how the global structure of rank-one 4d $\mathcal{N}=2$ supersymmetric field theories is encoded into global aspects of the Seiberg-Witten elliptic fibration. Starting with the prototypical example of the $\mathfrak{su}(2)$ gauge theory, we distinguish between relative and absolute Seiberg-Witten curves. For instance, we discuss in detail the three distinct absolute curves for the $SU(2)$ and $SO(3)_\pm$ 4d $\mathcal{N}=2$ gauge theories. We propose that the $1$-form symmetry of an absolute theory is isomorphic to a torsion subgroup of the Mordell-Weil group of sections of the absolute curve, while the full defect group of the theory is encoded in the torsion sections of a so-called relative curve. We explicitly show that the relative and absolute curves are related by isogenies (that is, homomorphisms of elliptic curves) generated by torsion sections -- hence, gauging a one-form symmetry corresponds to composing isogenies between Seiberg-Witten curves. We apply this approach to Kaluza-Klein (KK) 4d $\mathcal{N}=2$ theories that arise from toroidal compactifications of 5d and 6d SCFTs to four dimensions, uncovering an intricate pattern of 4d global structures obtained by gauging discrete $0$-form and/or $1$-form symmetries. Incidentally, we propose a 6d BPS quiver for the 6d M-string theory on $\mathbb{R}^4\times T^2$.

[ { "created": "Sun, 20 Aug 2023 10:35:36 GMT", "version": "v1" }, { "created": "Tue, 16 Jan 2024 22:34:03 GMT", "version": "v2" }, { "created": "Sun, 28 Jan 2024 22:34:35 GMT", "version": "v3" } ]

2024-05-29

[ [ "Closset", "Cyril", "" ], [ "Magureanu", "Horia", "" ] ]

We study how the global structure of rank-one 4d $\mathcal{N}=2$ supersymmetric field theories is encoded into global aspects of the Seiberg-Witten elliptic fibration. Starting with the prototypical example of the $\mathfrak{su}(2)$ gauge theory, we distinguish between relative and absolute Seiberg-Witten curves. For instance, we discuss in detail the three distinct absolute curves for the $SU(2)$ and $SO(3)_\pm$ 4d $\mathcal{N}=2$ gauge theories. We propose that the $1$-form symmetry of an absolute theory is isomorphic to a torsion subgroup of the Mordell-Weil group of sections of the absolute curve, while the full defect group of the theory is encoded in the torsion sections of a so-called relative curve. We explicitly show that the relative and absolute curves are related by isogenies (that is, homomorphisms of elliptic curves) generated by torsion sections -- hence, gauging a one-form symmetry corresponds to composing isogenies between Seiberg-Witten curves. We apply this approach to Kaluza-Klein (KK) 4d $\mathcal{N}=2$ theories that arise from toroidal compactifications of 5d and 6d SCFTs to four dimensions, uncovering an intricate pattern of 4d global structures obtained by gauging discrete $0$-form and/or $1$-form symmetries. Incidentally, we propose a 6d BPS quiver for the 6d M-string theory on $\mathbb{R}^4\times T^2$.

5.748644

5.339807

6.560016

5.153876

5.331157

5.654278

5.401576

5.471371

5.352

6.85722

5.242571

5.386695

5.902756

5.487261

5.446085

5.475144

5.516145

5.431228

5.411672

5.812618

5.481788

0905.4756

Edith Lorena Losada

C. Ccapa Ttira, C. D. Fosco and E. L. Losada

Non-superposition effects in the Dirichlet Casimir effect

17 pages, LaTeX, no figures

J.Phys.A43:235402,2010

10.1088/1751-8113/43/23/235402

null

hep-th

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

We study non-superposition effects in the Dirichlet Casimir interaction energy for N boundaries in d spatial dimensions, quantifying its departure from the case of an interaction where a superposition principle is valid. We first derive some general results about those effects, and then show that they only become negligible when the distances between surfaces are larger than the sizes of each individual surface. We consider different examples in one, two and three spatial dimensions.

[ { "created": "Thu, 28 May 2009 21:52:35 GMT", "version": "v1" } ]

2010-05-25

[ [ "Ttira", "C. Ccapa", "" ], [ "Fosco", "C. D.", "" ], [ "Losada", "E. L.", "" ] ]

We study non-superposition effects in the Dirichlet Casimir interaction energy for N boundaries in d spatial dimensions, quantifying its departure from the case of an interaction where a superposition principle is valid. We first derive some general results about those effects, and then show that they only become negligible when the distances between surfaces are larger than the sizes of each individual surface. We consider different examples in one, two and three spatial dimensions.

16.100042

15.159576

16.605503

14.518077

15.882472

15.388962

15.389824

15.191735

14.101178

19.244717

15.006637

14.851581

14.887262

14.56973

14.548819

15.144679

15.46876

14.495153

14.996017

15.426987

14.312927

0907.4543

Michael Faux

Michael G. Faux and Gregory D. Landweber

Spin Holography via Dimensional Enhancement

13 pages, LaTeX

Phys.Lett.B681:161-165,2009

10.1016/j.physletb.2009.10.014

null

hep-th

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

We explain how all information about ambient component field spin assignments in higher-dimensional off-shell supersymmetry is accessibly coded in one-dimensional restrictions, known as shadows. We also explain how to determine whether the components of a given one-dimensional supermultiplet may assemble into representations of $\spin(1,D-1)$ and, if so, how to specifically determine those representations.

[ { "created": "Mon, 27 Jul 2009 06:52:15 GMT", "version": "v1" } ]

2009-11-13

[ [ "Faux", "Michael G.", "" ], [ "Landweber", "Gregory D.", "" ] ]

We explain how all information about ambient component field spin assignments in higher-dimensional off-shell supersymmetry is accessibly coded in one-dimensional restrictions, known as shadows. We also explain how to determine whether the components of a given one-dimensional supermultiplet may assemble into representations of $\spin(1,D-1)$ and, if so, how to specifically determine those representations.

29.144329

25.983961

26.69446

23.402409

28.067146

28.180485

25.42893

25.246927

24.508791

31.184483

24.528433

23.964584

26.085409

23.739136

23.228889

24.508528

23.388258

24.156624

23.683153

24.834671

22.792835

1206.0416

Sergei V. Ketov

Sergei V. Ketov and Natsuki Watanabe

Dark Energy in Modified Supergravity

LaTeX, 9 pages, 1 figure; secs. 2 and 3 extended, references updated, title and abstract revised

Mod. Phys. Lett. A, Vol. 27, No. 39 (2012) 1250225

10.1142/S0217732312502252

IPMU12-0108

hep-th gr-qc hep-ph

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

We propose a supersymmetric extension of the dynamical dark energy function and the corresponding scalar (super)potential in F(R) supergravity. Our model is viable in the Einstein approximation, and also has an analytic (regular) Wess-Zumino-type scalar superpotential. The hidden sector responsible for spontaneous supersymmetry breaking is given.

[ { "created": "Sun, 3 Jun 2012 02:09:35 GMT", "version": "v1" }, { "created": "Tue, 4 Sep 2012 03:12:10 GMT", "version": "v2" } ]

2012-12-27

[ [ "Ketov", "Sergei V.", "" ], [ "Watanabe", "Natsuki", "" ] ]

We propose a supersymmetric extension of the dynamical dark energy function and the corresponding scalar (super)potential in F(R) supergravity. Our model is viable in the Einstein approximation, and also has an analytic (regular) Wess-Zumino-type scalar superpotential. The hidden sector responsible for spontaneous supersymmetry breaking is given.

19.448952

17.2665

23.305687

16.2801

16.857161

16.865774

18.647003

16.351702

17.916109

23.949909

16.200455

15.679213

19.760237

16.540102

16.184217

16.740183

16.650911

16.027739

17.367609

19.784241

16.789978

hep-th/0612225

Gabriel Cardoso

G.L. Cardoso, B. de Wit and S. Mahapatra

Black hole entropy functions and attractor equations

21 pages,LaTeX,minor changes

JHEP 0703:085,2007

10.1088/1126-6708/2007/03/085

LMU-ASC 84/06, ITP-UU-06/54, SPIN-06/44

hep-th

null

The entropy and the attractor equations for static extremal black hole solutions follow from a variational principle based on an entropy function. In the general case such an entropy function can be derived from the reduced action evaluated in a near-horizon geometry. BPS black holes constitute special solutions of this variational principle, but they can also be derived directly from a different entropy function based on supersymmetry enhancement at the horizon. Both functions are consistent with electric/magnetic duality and for BPS black holes their corresponding OSV-type integrals give identical results at the semi-classical level. We clarify the relation between the two entropy functions and the corresponding attractor equations for N=2 supergravity theories with higher-derivative couplings in four space-time dimensions. We discuss how non-holomorphic corrections will modify these entropy functions.

[ { "created": "Wed, 20 Dec 2006 18:14:17 GMT", "version": "v1" }, { "created": "Wed, 21 Mar 2007 13:03:28 GMT", "version": "v2" } ]

2010-10-27

[ [ "Cardoso", "G. L.", "" ], [ "de Wit", "B.", "" ], [ "Mahapatra", "S.", "" ] ]

The entropy and the attractor equations for static extremal black hole solutions follow from a variational principle based on an entropy function. In the general case such an entropy function can be derived from the reduced action evaluated in a near-horizon geometry. BPS black holes constitute special solutions of this variational principle, but they can also be derived directly from a different entropy function based on supersymmetry enhancement at the horizon. Both functions are consistent with electric/magnetic duality and for BPS black holes their corresponding OSV-type integrals give identical results at the semi-classical level. We clarify the relation between the two entropy functions and the corresponding attractor equations for N=2 supergravity theories with higher-derivative couplings in four space-time dimensions. We discuss how non-holomorphic corrections will modify these entropy functions.

8.060714

6.577711

8.72971

6.856636

7.79128

6.652569

7.318456

6.695049

7.41259

9.381619

7.149902

7.28274

8.124031

7.078119

6.980784

6.980803

7.11952

7.089358

6.947394

7.976622

7.133189

hep-th/9912177

Alfonso V. Ramallo

P. M. Llatas, A. V. Ramallo and J. M. Sanchez de Santos

World-volume Solitons of the D3-brane in the Background of (p,q) Five-branes

22 pages, LaTeX, 1 eps file

Int.J.Mod.Phys.A15:4477-4498,2000

10.1142/S0217751X00001841

US-FT-25/99

hep-th

null

We analyze the world-volume solitons of a D3-brane probe in the background of parallel (p,q) five-branes. The D3-brane is embedded along the directions transverse to the five-branes of the background. By using the S-duality invariance of the D3-brane, we find a first-order differential equation whose solutions saturate an energy bound. The SO(3) invariant solutions of this equation are found analytically. They represent world-volume solitons which can be interpreted as formed by parallel (-q,p) strings emanating from the D3-brane world-volume. It is shown that these configurations are 1/4 supersymmetric and provide a world-volume realization of the Hanany-Witten effect.

[ { "created": "Mon, 20 Dec 1999 16:20:50 GMT", "version": "v1" } ]

2016-12-21

[ [ "Llatas", "P. M.", "" ], [ "Ramallo", "A. V.", "" ], [ "de Santos", "J. M. Sanchez", "" ] ]

We analyze the world-volume solitons of a D3-brane probe in the background of parallel (p,q) five-branes. The D3-brane is embedded along the directions transverse to the five-branes of the background. By using the S-duality invariance of the D3-brane, we find a first-order differential equation whose solutions saturate an energy bound. The SO(3) invariant solutions of this equation are found analytically. They represent world-volume solitons which can be interpreted as formed by parallel (-q,p) strings emanating from the D3-brane world-volume. It is shown that these configurations are 1/4 supersymmetric and provide a world-volume realization of the Hanany-Witten effect.

6.844442

6.183843

7.151647

6.084187

6.222533

5.726322

5.609434

5.736388

5.861005

8.505579

6.216094

6.123365

6.68455

6.33857

6.223938

6.180341

6.170359

6.155193

6.222447

6.447963

6.131767

1811.12419

Felix Rudolph

Chrysoula Markou, Felix J. Rudolph, Angnis Schmidt-May

Gravity with antisymmetric components

23 pages, v2: Modified discussion on causality, modified convention in eq. 2.10 and thereafter. References added. v3: Added extended discussion of tachyonic mass pole. v4: matches published version

null

10.1088/1361-6382/ab0fd6

MPP-2018-288

hep-th gr-qc

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

This work proposes a new gravitational theory formulated in terms of the vierbein field. The vierbein contains components which can be shifted by local Lorentz transformations and therefore do not show up in the spacetime metric. These components are given dynamics and become physical in our setup. They enter the massless theory in the form of an antisymmetric tensor field which makes the action reminiscent of the bosonic sector of supergravity. We then demonstrate that both the metric and the antisymmetric tensor can be made massive by adding a potential term for the vierbein. The form of this mass potential is inspired by ghost-free massive gravity. We confirm the absence of additional and potentially pathological degrees of freedom in an ADM analysis. However, at the linearized level around maximally symmetric solutions, the fluctuation of the antisymmetric tensor has a tachyonic mass pole.

[ { "created": "Thu, 29 Nov 2018 19:00:03 GMT", "version": "v1" }, { "created": "Tue, 11 Dec 2018 16:48:13 GMT", "version": "v2" }, { "created": "Fri, 18 Jan 2019 10:23:22 GMT", "version": "v3" }, { "created": "Fri, 17 May 2019 09:06:35 GMT", "version": "v4" } ]

2019-05-20

[ [ "Markou", "Chrysoula", "" ], [ "Rudolph", "Felix J.", "" ], [ "Schmidt-May", "Angnis", "" ] ]

This work proposes a new gravitational theory formulated in terms of the vierbein field. The vierbein contains components which can be shifted by local Lorentz transformations and therefore do not show up in the spacetime metric. These components are given dynamics and become physical in our setup. They enter the massless theory in the form of an antisymmetric tensor field which makes the action reminiscent of the bosonic sector of supergravity. We then demonstrate that both the metric and the antisymmetric tensor can be made massive by adding a potential term for the vierbein. The form of this mass potential is inspired by ghost-free massive gravity. We confirm the absence of additional and potentially pathological degrees of freedom in an ADM analysis. However, at the linearized level around maximally symmetric solutions, the fluctuation of the antisymmetric tensor has a tachyonic mass pole.

8.932683

8.660832

8.578341

8.374651

8.666862

8.988365

8.59943

8.327432

8.227808

9.528817

8.21061

8.420475

8.929668

8.713135

8.917772

8.605865

8.514076

8.734823

8.626787

8.847686

8.379702

hep-th/9812034

Paul Townsend

G.W. Gibbons and P.K. Townsend

Black Holes and Calogero Models

Revtex 5pp. Revision includes improved discussion of entropy and includes an additional reference

Phys.Lett.B454:187-192,1999

10.1016/S0370-2693(99)00266-X

null

hep-th

null

We argue that the large $n$ limit of the $n$-particle $SU(1,1|2)$ superconformal Calogero model provides a microscopic description of the extreme Reissner-Nordstr{\"o}m black hole in the near-horizon limit.

[ { "created": "Thu, 3 Dec 1998 19:13:32 GMT", "version": "v1" }, { "created": "Fri, 4 Dec 1998 15:21:33 GMT", "version": "v2" }, { "created": "Fri, 5 Feb 1999 19:33:25 GMT", "version": "v3" }, { "created": "Tue, 23 Feb 1999 17:36:38 GMT", "version": "v4" } ]

2009-10-07

[ [ "Gibbons", "G. W.", "" ], [ "Townsend", "P. K.", "" ] ]

We argue that the large $n$ limit of the $n$-particle $SU(1,1|2)$ superconformal Calogero model provides a microscopic description of the extreme Reissner-Nordstr{\"o}m black hole in the near-horizon limit.

5.16202

3.70342

5.594013

4.088177

3.964853

4.058505

4.685279

3.917942

3.831077

4.937764

4.246914

4.145678

4.624365

4.12978

4.245138

4.227339

4.120364

4.203441

4.095682

4.663704

4.021431

2101.05281

Jakob Moritz

Federico Carta and Jakob Moritz

Resolving spacetime singularities in flux compactifications & KKLT

42 pages, 19 figures, 1 appendix; v2: references added, minor corrections; v3: monodromies corrected, reference added; v4: matches version published in JHEP

null

10.1007/JHEP08(2021)093

null

hep-th hep-ph

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

In flux compactifications of type IIB string theory with D3 and seven-branes, the negative induced D3 charge localized on seven-branes leads to an apparently pathological profile of the metric sufficiently close to the source. With the volume modulus stabilized in a KKLT de Sitter vacuum this pathological region takes over a significant part of the entire compactification, threatening to spoil the KKLT effective field theory. In this paper we employ the Seiberg-Witten solution of pure $SU(N)$ super Yang-Mills theory to argue that wrapped seven-branes can be thought of as bound states of more microscopic exotic branes. We argue that the low-energy worldvolume dynamics of a stack of $n$ such exotic branes is given by the $(A_1,A_{n-1})$ Argyres-Douglas theory. Moreover, the splitting of the perturbative (in $\alpha'$) seven-brane into its constituent branes at the non-perturbative level resolves the apparently pathological region close to the seven-brane and replaces it with a region of $\mathcal{O}(1)$ Einstein frame volume. While this region generically takes up an $\mathcal{O}(1)$ fraction of the compactification in a KKLT de Sitter vacuum we argue that a small flux superpotential \textit{dynamically} ensures that the 4d effective field theory of KKLT remains valid nevertheless.

[ { "created": "Wed, 13 Jan 2021 19:00:00 GMT", "version": "v1" }, { "created": "Tue, 26 Jan 2021 23:46:06 GMT", "version": "v2" }, { "created": "Thu, 18 Feb 2021 16:13:27 GMT", "version": "v3" }, { "created": "Tue, 24 Aug 2021 21:39:52 GMT", "version": "v4" } ]

2021-09-15

[ [ "Carta", "Federico", "" ], [ "Moritz", "Jakob", "" ] ]

In flux compactifications of type IIB string theory with D3 and seven-branes, the negative induced D3 charge localized on seven-branes leads to an apparently pathological profile of the metric sufficiently close to the source. With the volume modulus stabilized in a KKLT de Sitter vacuum this pathological region takes over a significant part of the entire compactification, threatening to spoil the KKLT effective field theory. In this paper we employ the Seiberg-Witten solution of pure $SU(N)$ super Yang-Mills theory to argue that wrapped seven-branes can be thought of as bound states of more microscopic exotic branes. We argue that the low-energy worldvolume dynamics of a stack of $n$ such exotic branes is given by the $(A_1,A_{n-1})$ Argyres-Douglas theory. Moreover, the splitting of the perturbative (in $\alpha'$) seven-brane into its constituent branes at the non-perturbative level resolves the apparently pathological region close to the seven-brane and replaces it with a region of $\mathcal{O}(1)$ Einstein frame volume. While this region generically takes up an $\mathcal{O}(1)$ fraction of the compactification in a KKLT de Sitter vacuum we argue that a small flux superpotential \textit{dynamically} ensures that the 4d effective field theory of KKLT remains valid nevertheless.

7.400888

7.385117

8.365511

7.222746

7.325761

7.445094

7.659426

7.698648

7.35521

9.05262

7.342203

7.69606

7.462303

7.411686

7.55568

7.570086

7.540483

7.486967

7.339466

7.816965

7.450245

2212.06496

Tajron Juri\'c Dr. sc.

Tajron Juri\'c and Filip Po\v{z}ar

Noncommutative correction to the entropy of charged BTZ black hole

19 pages, typos corrected

Symmetry 2023, 15(2), 417

10.3390/sym15020417

RBI-ThPhys-2022-55

hep-th gr-qc

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

Noncommutative geometry is an established potential candidate for including quantum phenomena in gravitation. We outline the formalism of Hopf algebras and its connection to the algebra of infinitesimal diffeomorphisms. Using a Drinfeld twist we deform spacetime symmetries, algebra of vector fields and differential forms leading to a formulation of noncommutative Einstein equations. We study a concrete example of charged BTZ spacetime and deformations steaming from the so called angular twist. The entropy of the noncommutative charged BTZ black hole is obtained using the brick-wall method. We used a charged scalar field as a probe and obtained its spectrum and density of states via WKB approximation. We provide the method to calculate corrections to the Bekenstein-Hawking entropy in higher orders in WKB, but we present the final result in the lowest WKB order. The result is that even in the lowest order in WKB, the entropy, in general, contains higher powers in $\hbar$, and it has logarithmic corrections, and polynomials of logarithms of the black hole area.

[ { "created": "Tue, 13 Dec 2022 11:25:32 GMT", "version": "v1" }, { "created": "Mon, 19 Dec 2022 15:10:51 GMT", "version": "v2" }, { "created": "Tue, 7 Feb 2023 08:58:59 GMT", "version": "v3" }, { "created": "Tue, 14 Mar 2023 12:31:18 GMT", "version": "v4" } ]

2023-03-15

[ [ "Jurić", "Tajron", "" ], [ "Požar", "Filip", "" ] ]

Noncommutative geometry is an established potential candidate for including quantum phenomena in gravitation. We outline the formalism of Hopf algebras and its connection to the algebra of infinitesimal diffeomorphisms. Using a Drinfeld twist we deform spacetime symmetries, algebra of vector fields and differential forms leading to a formulation of noncommutative Einstein equations. We study a concrete example of charged BTZ spacetime and deformations steaming from the so called angular twist. The entropy of the noncommutative charged BTZ black hole is obtained using the brick-wall method. We used a charged scalar field as a probe and obtained its spectrum and density of states via WKB approximation. We provide the method to calculate corrections to the Bekenstein-Hawking entropy in higher orders in WKB, but we present the final result in the lowest WKB order. The result is that even in the lowest order in WKB, the entropy, in general, contains higher powers in $\hbar$, and it has logarithmic corrections, and polynomials of logarithms of the black hole area.

9.522254

9.368018

9.276659

8.703144

9.394516

10.184586

9.407082

9.102344

9.363474

10.286117

9.341744

9.154766

9.292659

9.289547

9.370238

9.28742

9.500176

9.152626

9.378537

9.263389

9.071775

1907.10021

Athira P V

Athira PV, A Manu

Classical double copy from Color Kinematics duality: A proof in the soft limit

47 pages, minor changes and citations added

Phys. Rev. D 101, 046014 (2020)

10.1103/PhysRevD.101.046014

null

hep-th gr-qc

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

Classical double copy is an intriguing relationship between classical solutions to a gravity theory and solutions to classical Yang-Mills equations. Although formally inspired by the double copy relation between (quantum) scattering amplitudes in QCD and perturbative gravity, a direct proof of the former from the latter continues to be under investigation. In this paper, we attempt to prove classical double copy from the color-kinematics duality symmetry of QCD amplitudes in a restricted setting. That is we consider radiative solutions with classical scattering sources in Yang-Mills theory and perturbative gravity in D > 4 spacetime dimensions. We show that when the frequency of radiation is much smaller than the characteristic frequency of the process, then at the subleading order in frequency, the classical double copy relating radiative gluon field to radiative gravitational field can be proved from the color-kinematics duality of QCD amplitudes.

[ { "created": "Tue, 23 Jul 2019 17:26:57 GMT", "version": "v1" }, { "created": "Tue, 20 Aug 2019 06:14:15 GMT", "version": "v2" } ]

2020-02-19

[ [ "PV", "Athira", "" ], [ "Manu", "A", "" ] ]

Classical double copy is an intriguing relationship between classical solutions to a gravity theory and solutions to classical Yang-Mills equations. Although formally inspired by the double copy relation between (quantum) scattering amplitudes in QCD and perturbative gravity, a direct proof of the former from the latter continues to be under investigation. In this paper, we attempt to prove classical double copy from the color-kinematics duality symmetry of QCD amplitudes in a restricted setting. That is we consider radiative solutions with classical scattering sources in Yang-Mills theory and perturbative gravity in D > 4 spacetime dimensions. We show that when the frequency of radiation is much smaller than the characteristic frequency of the process, then at the subleading order in frequency, the classical double copy relating radiative gluon field to radiative gravitational field can be proved from the color-kinematics duality of QCD amplitudes.

7.352454

7.509333

7.186982

6.414305

7.434275

7.482331

6.984574

6.60426

6.737955

7.914996

6.622406

6.516602

6.55494

6.586847

6.785727

6.952071

6.887239

6.69318

6.625124

6.868257

6.702636

1609.04454

SIbasish Banerjee

Sibasish Banerjee

Calabi-Yau compactification of type II string theories

PhD Thesis, defended on 29-09-2015

null

hep-th

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

Superstring theories are the most promising theories for unified description of all fundamental interactions including gravity. However, these theories are formulated consistently only in 10 spacetime dimensions. Therefore, to connect to the observable world, it is required to compactify 6 out of those 10 dimensions in a suitable fashion. In this thesis, we mainly consider compactifications of type II string theories on Calabi-Yau threefolds. As a consequence, the resulting four dimensional theories preserve $\mathcal{N}=2$ supersymmetry. In these cases the metrics on the moduli spaces of the matter multiplets, vector and hypermultiplets, completely determine the low energy theories. Whereas the former are very well understood by now, the complete description of hypermultiplets is more complicated. In fact, hypermultiplets receive both perturbative and non-perturbative corrections. The thesis mainly pertains to the understanding of the non-perturbative corrections. Our findings for the hypermultiplets rely on the so called twistorial construction. We discuss this technique in details and use it throughout the course of this thesis. In particular, armed with this, and exploiting various symmetries, especially S-duality and mirror symmetry, we discuss the procedure to derive the D-brane and NS5-brane instanton corrections to the hypermultiplet moduli space.

[ { "created": "Wed, 14 Sep 2016 21:55:07 GMT", "version": "v1" } ]

2016-09-16

[ [ "Banerjee", "Sibasish", "" ] ]

Superstring theories are the most promising theories for unified description of all fundamental interactions including gravity. However, these theories are formulated consistently only in 10 spacetime dimensions. Therefore, to connect to the observable world, it is required to compactify 6 out of those 10 dimensions in a suitable fashion. In this thesis, we mainly consider compactifications of type II string theories on Calabi-Yau threefolds. As a consequence, the resulting four dimensional theories preserve $\mathcal{N}=2$ supersymmetry. In these cases the metrics on the moduli spaces of the matter multiplets, vector and hypermultiplets, completely determine the low energy theories. Whereas the former are very well understood by now, the complete description of hypermultiplets is more complicated. In fact, hypermultiplets receive both perturbative and non-perturbative corrections. The thesis mainly pertains to the understanding of the non-perturbative corrections. Our findings for the hypermultiplets rely on the so called twistorial construction. We discuss this technique in details and use it throughout the course of this thesis. In particular, armed with this, and exploiting various symmetries, especially S-duality and mirror symmetry, we discuss the procedure to derive the D-brane and NS5-brane instanton corrections to the hypermultiplet moduli space.

6.535312

6.571545

7.19224

6.325742

6.585507

6.431877

6.226014

6.220413

6.310082

6.904646

6.326397

6.188684

6.416745

6.157972

6.382476

6.215673

6.327964

6.365756

6.134377

6.529263

6.304148

1412.8475

Jacob Bourjaily

Nima Arkani-Hamed, Jacob L. Bourjaily, Freddy Cachazo, Alexander Postnikov, and Jaroslav Trnka

On-Shell Structures of MHV Amplitudes Beyond the Planar Limit

16 pages, 19 figures

null

CALT-TH-2014-169

hep-th

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

We initiate an exploration of on-shell functions in $\mathcal{N}=4$ SYM beyond the planar limit by providing compact, combinatorial expressions for all leading singularities of MHV amplitudes and showing that they can always be expressed as a positive sum of differently ordered Parke-Taylor tree amplitudes. This is understood in terms of an extended notion of positivity in $G(2,n)$, the Grassmannian of 2-planes in $n$ dimensions: a single on-shell diagram can be associated with many different "positive" regions, of which the familiar positive region associated with planar diagrams is just one example. The decomposition into Parke-Taylor factors is simply a "triangulation" of these extended positive regions. The $U(1)$ decoupling and Kleiss-Kuijf (KK) relations satisfied by the Parke-Taylor amplitudes also follow naturally from this geometric picture. These results suggest that non-planar MHV amplitudes in $\mathcal{N}=4$ SYM at all loop orders can be expressed as a sum of polylogarithms weighted by color factors and (unordered) Parke-Taylor amplitudes.

[ { "created": "Mon, 29 Dec 2014 21:00:03 GMT", "version": "v1" } ]

2014-12-31

[ [ "Arkani-Hamed", "Nima", "" ], [ "Bourjaily", "Jacob L.", "" ], [ "Cachazo", "Freddy", "" ], [ "Postnikov", "Alexander", "" ], [ "Trnka", "Jaroslav", "" ] ]

We initiate an exploration of on-shell functions in $\mathcal{N}=4$ SYM beyond the planar limit by providing compact, combinatorial expressions for all leading singularities of MHV amplitudes and showing that they can always be expressed as a positive sum of differently ordered Parke-Taylor tree amplitudes. This is understood in terms of an extended notion of positivity in $G(2,n)$, the Grassmannian of 2-planes in $n$ dimensions: a single on-shell diagram can be associated with many different "positive" regions, of which the familiar positive region associated with planar diagrams is just one example. The decomposition into Parke-Taylor factors is simply a "triangulation" of these extended positive regions. The $U(1)$ decoupling and Kleiss-Kuijf (KK) relations satisfied by the Parke-Taylor amplitudes also follow naturally from this geometric picture. These results suggest that non-planar MHV amplitudes in $\mathcal{N}=4$ SYM at all loop orders can be expressed as a sum of polylogarithms weighted by color factors and (unordered) Parke-Taylor amplitudes.

6.067554

6.471

6.591676

5.870406

5.90997

6.064436

5.721825

6.118795

6.158542

7.316097

6.033425

6.171481

6.067484

5.970858

6.145442

6.008224

6.117441

6.186208

5.923558

6.090137

5.776732

1403.3224

Tehseen Rug

Stefan Hofmann and Tehseen Rug

A Quantum Bound-State Description of Black Holes

Sections on asymptotic framework for bound states and composite operator renormalization added. Derivation of main results presented in greater detail. References added. Submitted to Nuclear Physics B

null

hep-th astro-ph.HE gr-qc

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

A relativistic framework for the description of bound states consisting of a large number of quantum constituents is presented, and applied to black-hole interiors. At the parton level, the constituent distribution, number and energy density inside black holes are calculated, and gauge corrections are discussed. A simple scaling relation between the black hole mass and constituent number is established.

[ { "created": "Thu, 13 Mar 2014 10:28:56 GMT", "version": "v1" }, { "created": "Fri, 12 Dec 2014 10:06:06 GMT", "version": "v2" }, { "created": "Mon, 26 Oct 2015 10:39:35 GMT", "version": "v3" } ]

2015-10-27

[ [ "Hofmann", "Stefan", "" ], [ "Rug", "Tehseen", "" ] ]

A relativistic framework for the description of bound states consisting of a large number of quantum constituents is presented, and applied to black-hole interiors. At the parton level, the constituent distribution, number and energy density inside black holes are calculated, and gauge corrections are discussed. A simple scaling relation between the black hole mass and constituent number is established.

16.31115

14.725613

13.940504

13.943977

14.031091

14.621792

12.547249

13.947016

14.110726

13.334818

14.424614

14.714957

14.256593

13.553281

14.095092

14.349689

14.147344

13.828233

13.399223

13.552098

14.860443

2204.13415

Yusuke Nishida

Tatsuya Amitani and Yusuke Nishida

Torsion-induced chiral magnetic current in equilibrium

9 pages, 4 figures; published version

Annals of Physics 448 (2023) 169181

10.1016/j.aop.2022.169181

null

hep-th cond-mat.mes-hall

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

We study equilibrium transport properties of massless Dirac fermions at finite temperature and chemical potential in spacetime accompanied by torsion, which in four dimensions couples with Dirac fermions as an axial gauge field. In particular, we compute the current density at the linear order in the torsion as well as in an external magnetic field with the Pauli-Villars regularization, finding that an equilibrium current akin to the chiral magnetic current is locally induced. Such torsion can be realized in condensed matter systems along a screw dislocation line, around which localized and extended current distributions are predicted so as to be relevant to Dirac and Weyl semimetals. Furthermore, we compute the current density at the linear order in the torsion as well as in a Weyl node separation, which turns out to vanish in spite of being allowed from the symmetry perspective. Contrasts of our findings with torsion-induced currents from previous work are also discussed.

[ { "created": "Thu, 28 Apr 2022 11:25:18 GMT", "version": "v1" }, { "created": "Mon, 5 Dec 2022 11:50:47 GMT", "version": "v2" } ]

2022-12-06

[ [ "Amitani", "Tatsuya", "" ], [ "Nishida", "Yusuke", "" ] ]

We study equilibrium transport properties of massless Dirac fermions at finite temperature and chemical potential in spacetime accompanied by torsion, which in four dimensions couples with Dirac fermions as an axial gauge field. In particular, we compute the current density at the linear order in the torsion as well as in an external magnetic field with the Pauli-Villars regularization, finding that an equilibrium current akin to the chiral magnetic current is locally induced. Such torsion can be realized in condensed matter systems along a screw dislocation line, around which localized and extended current distributions are predicted so as to be relevant to Dirac and Weyl semimetals. Furthermore, we compute the current density at the linear order in the torsion as well as in a Weyl node separation, which turns out to vanish in spite of being allowed from the symmetry perspective. Contrasts of our findings with torsion-induced currents from previous work are also discussed.

10.366277

10.493334

11.276896

9.571222

10.4593

10.659369

10.488694

10.514975

9.502871

11.792441

10.200433

10.073173

10.334754

9.954162

9.91012

9.740357

10.037469

10.340705

10.117016

10.462597

10.076872

hep-th/0105310

Frans Klinkhamer

F.R. Klinkhamer and C. Mayer

Torsion, topology and CPT anomaly in two-dimensional chiral U(1) gauge theory

LaTeX with elsart.cls, 20 pages, v3: to appear in Nucl. Phys. B

Nucl.Phys. B616 (2001) 215-232

10.1016/S0550-3213(01)00463-1

KA-TP-17-2001

hep-th gr-qc

null

We consider the CPT anomaly of two-dimensional chiral U(1) gauge theory on a torus with topologically nontrivial zweibeins corresponding to the presence of spacetime torsion. The resulting chiral determinant can be expressed in terms of the standard chiral determinant without torsion, but with modified spinor boundary conditions. This implies that the two-dimensional CPT anomaly can be moved from one spin structure to another by choosing appropriate zweibeins. Similar results apply to higher-dimensional chiral gauge theories.

[ { "created": "Wed, 30 May 2001 21:42:42 GMT", "version": "v1" }, { "created": "Tue, 5 Jun 2001 19:34:27 GMT", "version": "v2" }, { "created": "Fri, 7 Sep 2001 17:49:54 GMT", "version": "v3" } ]

2009-11-07

[ [ "Klinkhamer", "F. R.", "" ], [ "Mayer", "C.", "" ] ]

We consider the CPT anomaly of two-dimensional chiral U(1) gauge theory on a torus with topologically nontrivial zweibeins corresponding to the presence of spacetime torsion. The resulting chiral determinant can be expressed in terms of the standard chiral determinant without torsion, but with modified spinor boundary conditions. This implies that the two-dimensional CPT anomaly can be moved from one spin structure to another by choosing appropriate zweibeins. Similar results apply to higher-dimensional chiral gauge theories.

8.044374

6.622155

8.271871

6.59854

6.795239

7.331907

6.428075

7.389269

6.481813

8.228602

6.828809

6.825099

7.901464

7.294516

7.698929

7.051743

7.386826

7.062741

7.452082

8.014696

7.188386

hep-th/9811087

Shigeki Sugimoto

N.Sasakura and S.Sugimoto (Kyoto University)

M-theory description of 1/4 BPS states in N=4 supersymmetric Yang-Mills theory

16 pages, 4 Postscript figures, LaTeX

Prog.Theor.Phys. 101 (1999) 749-761

10.1143/PTP.101.749

KUNS-1543

hep-th

null

We discuss BPS states preserving 1/4 supersymmetries of N=4 supersymmetric Yang-Mills theory as M2-branes holomorphically embedded and ending on M5-branes. We use techniques in electrodynamics to find the M2-brane configurations, and give some explicit examples. In case the M2-brane worldsheet has handles, the worldsheet moduli of the M2-brane is constrained in a discrete manner. Several aspects of multi-pronged strings in type IIB string theory are beautifully reproduced in the M-theory description. We also discuss the relation between the above construction and the D2-brane dynamics in type IIA string theory.

[ { "created": "Tue, 10 Nov 1998 04:40:14 GMT", "version": "v1" } ]

2009-10-31

[ [ "Sasakura", "N.", "", "Kyoto University" ], [ "Sugimoto", "S.", "", "Kyoto University" ] ]

We discuss BPS states preserving 1/4 supersymmetries of N=4 supersymmetric Yang-Mills theory as M2-branes holomorphically embedded and ending on M5-branes. We use techniques in electrodynamics to find the M2-brane configurations, and give some explicit examples. In case the M2-brane worldsheet has handles, the worldsheet moduli of the M2-brane is constrained in a discrete manner. Several aspects of multi-pronged strings in type IIB string theory are beautifully reproduced in the M-theory description. We also discuss the relation between the above construction and the D2-brane dynamics in type IIA string theory.

8.444391

7.673146

9.413752

7.3273

7.875489

7.673671

7.89569

7.509154

7.872048

10.245434

7.481412

7.947453

8.927111

7.689944

7.916472

7.849681

7.833544

7.893031

7.843199

8.364566

7.766225

1205.6238

George Alekseev A.

G. A. Alekseev

Monodromy transform and the integral equation method for solving the string gravity and supergravity equations in four and higher dimensions

RevTex 7 pages, 1 figure

Phys. Rev. D88, 021503(R) (2013)

10.1103/PhysRevD.88.021503

null

hep-th gr-qc nlin.SI

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

The monodromy transform and corresponding integral equation method described here give rise to a general systematic approach for solving integrable reductions of field equations for gravity coupled bosonic dynamics in string gravity and supergravity in four and higher dimensions. For different types of fields in space-times of $D\ge 4$ dimensions with $d=D-2$ commuting isometries -- stationary fields with spatial symmetries, interacting waves or partially inhomogeneous cosmological models, the string gravity equations govern the dynamics of interacting gravitational, dilaton, antisymmetric tensor and any number $n\ge 0$ of Abelian vector gauge fields (all depending only on two coordinates). The equivalent spectral problem constructed earlier allows to parameterize the infinite-dimensional space of local solutions of these equations by two pairs of \cal{arbitrary} coordinate-independent holomorphic $d\times d$- and $d\times n$- matrix functions ${\mathbf{u}_\pm(w), \mathbf{v}_\pm(w)}$ of a spectral parameter $w$ which constitute a complete set of monodromy data for normalized fundamental solution of this spectral problem. The "direct" and "inverse" problems of such monodromy transform --- calculating the monodromy data for any local solution and constructing the field configurations for any chosen monodromy data always admit unique solutions. We construct the linear singular integral equations which solve the inverse problem. For any \emph{rational} and \emph{analytically matched} (i.e. $\mathbf{u}_+(w)\equiv\mathbf{u}_-(w)$ and $\mathbf{v}_+(w)\equiv\mathbf{v}_-(w)$) monodromy data the solution for string gravity equations can be found explicitly. Simple reductions of the space of monodromy data leads to the similar constructions for solving of other integrable symmetry reduced gravity models, e.g. 5D minimal supergravity or vacuum gravity in $D\ge 4$ dimensions.

[ { "created": "Mon, 28 May 2012 23:45:40 GMT", "version": "v1" } ]

2013-12-19

[ [ "Alekseev", "G. A.", "" ] ]

The monodromy transform and corresponding integral equation method described here give rise to a general systematic approach for solving integrable reductions of field equations for gravity coupled bosonic dynamics in string gravity and supergravity in four and higher dimensions. For different types of fields in space-times of $D\ge 4$ dimensions with $d=D-2$ commuting isometries -- stationary fields with spatial symmetries, interacting waves or partially inhomogeneous cosmological models, the string gravity equations govern the dynamics of interacting gravitational, dilaton, antisymmetric tensor and any number $n\ge 0$ of Abelian vector gauge fields (all depending only on two coordinates). The equivalent spectral problem constructed earlier allows to parameterize the infinite-dimensional space of local solutions of these equations by two pairs of \cal{arbitrary} coordinate-independent holomorphic $d\times d$- and $d\times n$- matrix functions ${\mathbf{u}_\pm(w), \mathbf{v}_\pm(w)}$ of a spectral parameter $w$ which constitute a complete set of monodromy data for normalized fundamental solution of this spectral problem. The "direct" and "inverse" problems of such monodromy transform --- calculating the monodromy data for any local solution and constructing the field configurations for any chosen monodromy data always admit unique solutions. We construct the linear singular integral equations which solve the inverse problem. For any \emph{rational} and \emph{analytically matched} (i.e. $\mathbf{u}_+(w)\equiv\mathbf{u}_-(w)$ and $\mathbf{v}_+(w)\equiv\mathbf{v}_-(w)$) monodromy data the solution for string gravity equations can be found explicitly. Simple reductions of the space of monodromy data leads to the similar constructions for solving of other integrable symmetry reduced gravity models, e.g. 5D minimal supergravity or vacuum gravity in $D\ge 4$ dimensions.

9.199203

10.137731

9.324019

8.69136

9.160315

9.726084

9.733592

9.161199

9.006683

10.521458

9.273364

9.100966

8.64543

8.973025

9.166792

8.9186

9.117532

9.189158

8.952494

8.994967

8.897156

hep-th/9904102

Dr Tsou Sheung Tsun

HM Chan (Rutherford Appleton Lab), and ST Tsou (Oxford)

Nonabelian Generalization of Electric-Magnetic Duality - a Brief Review

37 pages, Latex, 10 figures using epsfig, 4 charts in ps; invited review to appear in Int. J. Mod. Phys

Int.J.Mod.Phys. A14 (1999) 2139-2172

10.1142/S0217751X99001093

RAL-TR-1999-014

hep-th

null

A loop space formulation of Yang-Mills theory high-lighting the significance of monopoles for the existence of gauge potentials is used to derive a generalization of electric-magnetic duality to the nonabelian theory. The result implies that the gauge symmetry is doubled from SU(N) to $SU(N) \times \widetilde{SU}(N)$, while the physical degrees of freedom remain the same, so that the theory can be described in terms of either the usual Yang-Mills potential $A_\mu(x)$ or its dual $\tilde{A}_\mu(x)$. Nonabelian `electric' charges appear as sources of $A_\mu$ but as monopoles of $\tilde{A}_\mu$, while their `magnetic' counterparts appear as monopoles of $A_\mu$ but sources of $\tilde{A}_\mu$. Although these results have been derived only for classical fields, it is shown for the quantum theory that the Dirac phase factors (or Wilson loops) constructed out of $A_\mu$ and $\tilde{A}_\mu$ satisfy the 't Hooft commutation relations, so that his results on confinement apply. Hence one concludes, in particular, that since colour SU(3) is confined then dual colour $\widetilde{SU}(3)$ is broken. Such predictions can lead to many very interesting physical consequences which are explored in a companion paper.

[ { "created": "Wed, 14 Apr 1999 15:40:07 GMT", "version": "v1" } ]

2009-10-31

[ [ "Chan", "HM", "", "Rutherford Appleton Lab" ], [ "Tsou", "ST", "", "Oxford" ] ]

A loop space formulation of Yang-Mills theory high-lighting the significance of monopoles for the existence of gauge potentials is used to derive a generalization of electric-magnetic duality to the nonabelian theory. The result implies that the gauge symmetry is doubled from SU(N) to $SU(N) \times \widetilde{SU}(N)$, while the physical degrees of freedom remain the same, so that the theory can be described in terms of either the usual Yang-Mills potential $A_\mu(x)$ or its dual $\tilde{A}_\mu(x)$. Nonabelian `electric' charges appear as sources of $A_\mu$ but as monopoles of $\tilde{A}_\mu$, while their `magnetic' counterparts appear as monopoles of $A_\mu$ but sources of $\tilde{A}_\mu$. Although these results have been derived only for classical fields, it is shown for the quantum theory that the Dirac phase factors (or Wilson loops) constructed out of $A_\mu$ and $\tilde{A}_\mu$ satisfy the 't Hooft commutation relations, so that his results on confinement apply. Hence one concludes, in particular, that since colour SU(3) is confined then dual colour $\widetilde{SU}(3)$ is broken. Such predictions can lead to many very interesting physical consequences which are explored in a companion paper.

6.194491

5.821017

5.758292

5.35208

5.659567

5.58325

5.440745

5.740636

5.543586

6.399817

5.504614

5.560324

5.402377

5.544328

5.527238

5.464274

5.548879

5.42935

5.488702

5.669501

5.437039

hep-th/0610216

Davoud Kamani

Supersymmetric Form of the String Action in the Presence of the Gauge Field

14 pages, Latex, no figure, corrected version

Can. J. Phys. 87, 695-701 (2009)

10.1139/P08-125

null

hep-th

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

In this manuscript we study the superstring theory with an Abelian worldsheet gauge field. The components of the gauge field appear as a space and a time coordinates. We call them "fictitious coordinates". The worldsheet supersymmetry and the Poincar\'e symmetry of this model will be analyzed. The $T$-duality and quantization of the two fictitious coordinates are also obtained.

[ { "created": "Thu, 19 Oct 2006 13:24:59 GMT", "version": "v1" }, { "created": "Mon, 7 May 2007 16:30:43 GMT", "version": "v2" }, { "created": "Wed, 17 Oct 2007 11:31:11 GMT", "version": "v3" }, { "created": "Sat, 25 Jul 2009 12:31:10 GMT", "version": "v4" } ]

2020-08-21

[ [ "Kamani", "Davoud", "" ] ]

In this manuscript we study the superstring theory with an Abelian worldsheet gauge field. The components of the gauge field appear as a space and a time coordinates. We call them "fictitious coordinates". The worldsheet supersymmetry and the Poincar\'e symmetry of this model will be analyzed. The $T$-duality and quantization of the two fictitious coordinates are also obtained.

11.234918

7.527151

10.190727

8.496386

9.852346

7.406363

7.316481

8.060252

8.446527

11.942989

8.470959

9.013143

10.692883

9.242965

9.653379

9.111741

9.104501

9.228599

9.716956

10.646115

9.267562

0910.3334

Evgeny Skvortsov D

E.D.Skvortsov

Gauge fields in (A)dS within the unfolded approach: algebraic aspects

59 pages, replaced with revised verion

JHEP 1001:106,2010

10.1007/JHEP01(2010)106

null

hep-th

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

It has recently been shown that generalized connections of the (A)dS space symmetry algebra provide an effective geometric and algebraic framework for all types of gauge fields in (A)dS, both for massless and partially-massless. The equations of motion are equipped with a nilpotent operator called $\sigma_-$ whose cohomology groups correspond to the dynamically relevant quantities like differential gauge parameters, dynamical fields, gauge invariant field equations, Bianchi identities etc. In the paper the $\sigma_-$-cohomology is computed for all gauge theories of this type and the field-theoretical interpretation is discussed. In the simplest cases the $\sigma_-$-cohomology is equivalent to the ordinary Lie algebra cohomology.

[ { "created": "Mon, 19 Oct 2009 06:36:17 GMT", "version": "v1" }, { "created": "Tue, 29 Dec 2009 09:03:23 GMT", "version": "v2" } ]

2010-02-18

[ [ "Skvortsov", "E. D.", "" ] ]

It has recently been shown that generalized connections of the (A)dS space symmetry algebra provide an effective geometric and algebraic framework for all types of gauge fields in (A)dS, both for massless and partially-massless. The equations of motion are equipped with a nilpotent operator called $\sigma_-$ whose cohomology groups correspond to the dynamically relevant quantities like differential gauge parameters, dynamical fields, gauge invariant field equations, Bianchi identities etc. In the paper the $\sigma_-$-cohomology is computed for all gauge theories of this type and the field-theoretical interpretation is discussed. In the simplest cases the $\sigma_-$-cohomology is equivalent to the ordinary Lie algebra cohomology.

11.458717

10.754385

11.70171

10.008922

10.206099

10.487162

10.86713

10.317612

10.129217

12.696596

10.450015

10.785661

11.038008

10.490689

10.150807

10.88021

10.23434

10.447312

9.997461

11.145428

10.307261

1501.07620

George Papadopoulos

S. Beck, J. B. Gutowski and G. Papadopoulos

Supersymmetry of IIA warped flux AdS and flat backgrounds

44 pages

null

10.1007/JHEP09(2015)135

null

hep-th gr-qc

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

We identify the fractions of supersymmetry preserved by the most general warped flux AdS and flat backgrounds in both massive and standard IIA supergravities. We find that $AdS_n\times_w M^{10-n}$ preserve $2^{[{n\over2}]} k$ for $n\leq 4$ and $2^{[{n\over2}]+1} k$ for $4<n\leq 7$ supersymmetries, $k\in \bN_{>0}$. In addition we show that, for suitably restricted fields and $M^{10-n}$, the killing spinors of AdS backgrounds are given in terms of the zero modes of Dirac like operators on $M^{10-n}$. This generalizes the Lichnerowicz theorem for connections whose holonomy is included in a general linear group. We also adapt our results to $\bR^{1,n-1}\times_w M^{10-n}$ backgrounds which underpin flux compactifications to $\bR^{1,n-1}$ and show that these preserve $2^{[{n\over2}]} k$ for $2<n\leq 4$, $2^{[{n+1\over2}]} k$ for $4<n\leq 8$, and $2^{[{n\over2}]} k$ for $n=9, 10$ supersymmetries.

[ { "created": "Thu, 29 Jan 2015 21:33:10 GMT", "version": "v1" } ]

2015-10-28

[ [ "Beck", "S.", "" ], [ "Gutowski", "J. B.", "" ], [ "Papadopoulos", "G.", "" ] ]

We identify the fractions of supersymmetry preserved by the most general warped flux AdS and flat backgrounds in both massive and standard IIA supergravities. We find that $AdS_n\times_w M^{10-n}$ preserve $2^{[{n\over2}]} k$ for $n\leq 4$ and $2^{[{n\over2}]+1} k$ for $4<n\leq 7$ supersymmetries, $k\in \bN_{>0}$. In addition we show that, for suitably restricted fields and $M^{10-n}$, the killing spinors of AdS backgrounds are given in terms of the zero modes of Dirac like operators on $M^{10-n}$. This generalizes the Lichnerowicz theorem for connections whose holonomy is included in a general linear group. We also adapt our results to $\bR^{1,n-1}\times_w M^{10-n}$ backgrounds which underpin flux compactifications to $\bR^{1,n-1}$ and show that these preserve $2^{[{n\over2}]} k$ for $2<n\leq 4$, $2^{[{n+1\over2}]} k$ for $4<n\leq 8$, and $2^{[{n\over2}]} k$ for $n=9, 10$ supersymmetries.

4.793158

4.291023

5.723691

4.523239

4.340847

4.215612

4.279335

4.485492

4.325648

5.887346

4.37389

4.536331

5.288133

4.646464

4.454478

4.572103

4.618262

4.477169

4.614178

5.071028

4.540132

1503.04670

Alexander Manashov

A.N. Manashov and M. Strohmaier

Conformal constraints for anomalous dimensions of leading twist operators

14 pages, 6 figures

null

10.1140/epjc/s10052-015-3595-2

DESY 15-038

hep-th

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

Leading-twist operators have a remarkable property that their divergence vanishes in a free theory. Recently it was suggested that this property can be used for an alternative technique to calculate anomalous dimensions of leading-twist operators and allows one to gain one order in perturbation theory so that, i.e., two-loop anomalous dimensions can be calculated from one-loop Feynman diagrams, etc. In this work we study feasibility of this program on a toy-model example of the $\varphi^3$ theory in six dimensions. Our conclusion is that this approach is valid, although it does not seem to present considerable technical simplifications as compared to the standard technique. It does provide one, however, with a very nontrivial check of the calculation as the structure of the contributions is very different.

[ { "created": "Mon, 16 Mar 2015 14:30:35 GMT", "version": "v1" } ]

2015-09-02

[ [ "Manashov", "A. N.", "" ], [ "Strohmaier", "M.", "" ] ]

Leading-twist operators have a remarkable property that their divergence vanishes in a free theory. Recently it was suggested that this property can be used for an alternative technique to calculate anomalous dimensions of leading-twist operators and allows one to gain one order in perturbation theory so that, i.e., two-loop anomalous dimensions can be calculated from one-loop Feynman diagrams, etc. In this work we study feasibility of this program on a toy-model example of the $\varphi^3$ theory in six dimensions. Our conclusion is that this approach is valid, although it does not seem to present considerable technical simplifications as compared to the standard technique. It does provide one, however, with a very nontrivial check of the calculation as the structure of the contributions is very different.

8.955477

8.268923

9.195423

8.181176

9.039565

8.805413

9.308539

8.974784

8.643262

9.349401

9.028749

8.620129

8.696984

8.284214

8.144896

8.570325

8.600673

8.325849

8.400481

8.487602

8.426151

1612.01723

Hrachya Babujian

H. M. Babujian, M. Karowski and A. M. Tsvelik

Multipoint Green's functions in 1+1 dimensional integrable quantum field theories

33 pages, 8 figures, minor corrections

null

10.1016/j.nuclphysb.2017.02.002

null

hep-th

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

We calculate the multipoint Green functions in 1+1 dimensional integrable quantum field theories. We use the crossing formula for general models and calculate the 3 and 4 point functions taking in to account only the lower nontrivial intermediate states contributions. Then we apply the general results to the examples of the scaling $Z_{2}$ Ising model, sinh-Gordon model and $Z_{3}$ scaling Ising model. We demonstrate this calculations explicitly. The results can be applied to physical phenomena as for example to the Raman scattering.

[ { "created": "Tue, 6 Dec 2016 09:45:55 GMT", "version": "v1" }, { "created": "Tue, 20 Dec 2016 09:41:27 GMT", "version": "v2" } ]

2017-04-05

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

We calculate the multipoint Green functions in 1+1 dimensional integrable quantum field theories. We use the crossing formula for general models and calculate the 3 and 4 point functions taking in to account only the lower nontrivial intermediate states contributions. Then we apply the general results to the examples of the scaling $Z_{2}$ Ising model, sinh-Gordon model and $Z_{3}$ scaling Ising model. We demonstrate this calculations explicitly. The results can be applied to physical phenomena as for example to the Raman scattering.

11.528227

11.317529

11.748086

11.773776

13.293989

11.076106

12.647217

11.241306

11.93633

12.680513

11.15553

11.16123

11.931561

11.44748

11.31584

11.605123

11.137017

10.847558

11.042134

11.862484

10.929215

hep-th/9605130

Shao-Ming Fei

Sergio Albeverio, Shao-Ming Fei

Symmetry, Integrable Chain Models and Stochastic Processes

34 pages, Latex

Rev.Math.Phys. 10 (1998) 723-750

null

hep-th cond-mat math.QA nlin.SI q-alg solv-int

null

A general way to construct chain models with certain Lie algebraic or quantum Lie algebraic symmetries is presented. These symmetric models give rise to series of integrable systems. As an example the chain models with $A_n$ symmetry and the related Temperley-Lieb algebraic structures and representations are discussed. It is shown that corresponding to these $A_n$ symmetric integrable chain models there are exactly solvable stationary discrete-time (resp. continuous-time) Markov chains whose spectra of the transition matrices (resp. intensity matrices) are the same as the ones of the corresponding integrable models.

[ { "created": "Sat, 18 May 1996 10:49:40 GMT", "version": "v1" } ]

2008-02-03

[ [ "Albeverio", "Sergio", "" ], [ "Fei", "Shao-Ming", "" ] ]

A general way to construct chain models with certain Lie algebraic or quantum Lie algebraic symmetries is presented. These symmetric models give rise to series of integrable systems. As an example the chain models with $A_n$ symmetry and the related Temperley-Lieb algebraic structures and representations are discussed. It is shown that corresponding to these $A_n$ symmetric integrable chain models there are exactly solvable stationary discrete-time (resp. continuous-time) Markov chains whose spectra of the transition matrices (resp. intensity matrices) are the same as the ones of the corresponding integrable models.

9.875309

9.668694

10.039129

8.976552

8.829695

9.799197

8.959533

8.810518

8.916446

10.150505

8.436061

8.688221

9.828986

8.755532

9.380521

9.400633

8.976978

8.666422

8.713447

9.190663

8.683232

1611.04592

Ethan Dyer

Ethan Dyer, Guy Gur-Ari

2D CFT Partition Functions at Late Times

36 pages, 7 figures

null

10.1007/JHEP08(2017)075

null

hep-th

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

We consider the late time behavior of the analytically continued partition function $Z(\beta + it) Z(\beta - it)$ in holographic $2d$ CFTs. This is a probe of information loss in such theories and in their holographic duals. We show that each Virasoro character decays in time, and so information is not restored at the level of individual characters. We identify a universal decaying contribution at late times, and conjecture that it describes the behavior of generic chaotic $2d$ CFTs out to times that are exponentially large in the central charge. It was recently suggested that at sufficiently late times one expects a crossover to random matrix behavior. We estimate an upper bound on the crossover time, which suggests that the decay is followed by a parametrically long period of late time growth. Finally, we discuss integrable theories and show how information is restored at late times by a series of characters. This hints at a possible bulk mechanism, where information is restored by an infinite sum over non-perturbative saddles.

[ { "created": "Mon, 14 Nov 2016 21:00:01 GMT", "version": "v1" } ]

2017-09-13

[ [ "Dyer", "Ethan", "" ], [ "Gur-Ari", "Guy", "" ] ]

We consider the late time behavior of the analytically continued partition function $Z(\beta + it) Z(\beta - it)$ in holographic $2d$ CFTs. This is a probe of information loss in such theories and in their holographic duals. We show that each Virasoro character decays in time, and so information is not restored at the level of individual characters. We identify a universal decaying contribution at late times, and conjecture that it describes the behavior of generic chaotic $2d$ CFTs out to times that are exponentially large in the central charge. It was recently suggested that at sufficiently late times one expects a crossover to random matrix behavior. We estimate an upper bound on the crossover time, which suggests that the decay is followed by a parametrically long period of late time growth. Finally, we discuss integrable theories and show how information is restored at late times by a series of characters. This hints at a possible bulk mechanism, where information is restored by an infinite sum over non-perturbative saddles.

8.725842

8.683359

10.505194

8.26146

8.35606

8.000969

8.719791

8.245254

8.516959

9.878366

8.303987

8.353436

8.94434

8.362483

8.441406

8.307701

8.201026

8.303549

8.369688

8.961239

8.416992

hep-th/9706035

Philippe Brax

Ph. Brax (SPhT, Saclay) and Neil Turok (DAMTP, Cambridge)

Exponentially Small Couplings and the Hierarchy Problem

8 pages, latex, 2 figures

Phys.Lett. B413 (1997) 331-335

10.1016/S0370-2693(97)01119-2

Saclay preprint, 97/57, DAMTP preprint, 97/57

hep-th

null

We propose a stringy mechanism whereby a large hierarchy between symmetry breaking scales is generated. This mechanism is based upon the existence of a fifth dimension compactified on a segment. We focus on a simple supersymmetric model with one massless Higgs field in the 3 of SU(3) and another one in the $\bar 3$ on each four dimensional end-point of the fifth dimension. Along supersymmetric flat directions the gauge symmetry is broken down to SU(2) due to the vacuum expectation value of the Higgs fields on one of the end points. The remaining massless mode on the other end point acquires a potential due to a massive five dimensional state propagating between the end points. This potential breaks the SU(2) symmetry at an exponentially suppressed scale compared to the SU(3) breaking scale. The suppression factor depends exponentially on the mass M of the massive state and the length $\pi R$ of the fifth dimension. For reasonably large values of the length scale R one can achieve a factor of order $M_{W}/M_GUT}$.

[ { "created": "Thu, 5 Jun 1997 12:12:01 GMT", "version": "v1" } ]

2009-10-30

[ [ "Brax", "Ph.", "", "SPhT, Saclay" ], [ "Turok", "Neil", "", "DAMTP, Cambridge" ] ]

We propose a stringy mechanism whereby a large hierarchy between symmetry breaking scales is generated. This mechanism is based upon the existence of a fifth dimension compactified on a segment. We focus on a simple supersymmetric model with one massless Higgs field in the 3 of SU(3) and another one in the $\bar 3$ on each four dimensional end-point of the fifth dimension. Along supersymmetric flat directions the gauge symmetry is broken down to SU(2) due to the vacuum expectation value of the Higgs fields on one of the end points. The remaining massless mode on the other end point acquires a potential due to a massive five dimensional state propagating between the end points. This potential breaks the SU(2) symmetry at an exponentially suppressed scale compared to the SU(3) breaking scale. The suppression factor depends exponentially on the mass M of the massive state and the length $\pi R$ of the fifth dimension. For reasonably large values of the length scale R one can achieve a factor of order $M_{W}/M_GUT}$.

7.341634

8.962746

7.646388

7.771539

8.363429

8.820258

7.966455

8.029381

7.733818

8.304647

7.939369

7.448293

7.494908

7.469925

7.345197

7.462809

7.367848

7.307185

7.401391

7.423935

7.473438

hep-th/0509001

Anastasios Psinas

Mirage Cosmology of U(1) Gauge Field on Unstable D3 Brane Universe

ReVTeX format 20 pages; v2 1 figure added, one additional paragraph with extra comments added, enlarged list of references, version to appear in JHEP

JHEP 0601 (2006) 138

10.1088/1126-6708/2006/01/138

null

hep-th

null

An unstable $D3$-brane universe governed by the DBI action of the tachyon field minimally coupled to a U(1) gauge boson is examined. The cosmological evolution of this coupled system, is further analyzed, in terms of the expansion rate of the inflating brane, which is highly affected by the presence of the tachyonic and gauge field charges. We show, that the minimal coupling makes the effective brane density less divergent. However, for some sectors of the theory the tachyon is not able to regulate it in an efficient fashion. Also, a detailed analysis of the dependance of the effective brane density on the scale factor of the universe is performed, which leads to various cosmological models.

[ { "created": "Wed, 31 Aug 2005 22:18:15 GMT", "version": "v1" }, { "created": "Thu, 26 Jan 2006 02:18:23 GMT", "version": "v2" } ]

2009-11-11

[ [ "Psinas", "Anastasios", "" ] ]

An unstable $D3$-brane universe governed by the DBI action of the tachyon field minimally coupled to a U(1) gauge boson is examined. The cosmological evolution of this coupled system, is further analyzed, in terms of the expansion rate of the inflating brane, which is highly affected by the presence of the tachyonic and gauge field charges. We show, that the minimal coupling makes the effective brane density less divergent. However, for some sectors of the theory the tachyon is not able to regulate it in an efficient fashion. Also, a detailed analysis of the dependance of the effective brane density on the scale factor of the universe is performed, which leads to various cosmological models.

11.546398

11.038426

11.340739

10.803833

11.18454

10.518503

10.710246

10.483864

10.583062

10.644214

10.699998

10.822679

10.931073

10.872425

10.748676

10.644267

10.673273

10.868356

10.877344

10.832762

10.637486

1009.2488

Burkhard Eden

Burkhard Eden, Gregory P. Korchemsky, and Emery Sokatchev

More on the duality correlators/amplitudes

14 pages Latex, 1 figure

null

10.1016/j.physletb.2012.02.014

DCPT-10/43, IPhT--T10/139, LAPTH--039/10

hep-th

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

We continue the study of n-point correlation functions of half-BPS protected operators in N=4 super-Yang-Mills theory, in the limit where the positions of the adjacent operators become light-like separated. We compute the l-loop corrections by making l Lagrangian insertions. We argue that there exists a simple relation between the (n+l)-point tree-level correlator with l Lagrangian insertions and the integrand of the n-particle l-loop MHV scattering amplitude, as obtained by the recent momentum twistor construction of Arkani-Hamed et al. We present several examples of this new duality, at one and two loops.

[ { "created": "Mon, 13 Sep 2010 19:40:14 GMT", "version": "v1" }, { "created": "Thu, 16 Feb 2012 11:31:21 GMT", "version": "v2" } ]

2015-05-19

[ [ "Eden", "Burkhard", "" ], [ "Korchemsky", "Gregory P.", "" ], [ "Sokatchev", "Emery", "" ] ]

We continue the study of n-point correlation functions of half-BPS protected operators in N=4 super-Yang-Mills theory, in the limit where the positions of the adjacent operators become light-like separated. We compute the l-loop corrections by making l Lagrangian insertions. We argue that there exists a simple relation between the (n+l)-point tree-level correlator with l Lagrangian insertions and the integrand of the n-particle l-loop MHV scattering amplitude, as obtained by the recent momentum twistor construction of Arkani-Hamed et al. We present several examples of this new duality, at one and two loops.

7.770433

6.787645

8.522327

6.482614

6.331347

6.326045

6.540644

6.031598

6.041023

9.153799

6.482299

6.516064

8.018942

6.634886

6.542707

6.500874

6.565211

6.674755

6.674927

7.656065

6.597721

hep-th/0509164

Gautam Mandal

Avinash Dhar, Gautam Mandal and Nemani V Suryanarayana

Exact operator bosonization of finite number of fermions in one space dimension

47 pages, 1 figure; (v2) typos corrected

JHEP0601:118,2006

10.1088/1126-6708/2006/01/118

TIFR/TH/05-36

hep-th cond-mat.stat-mech

null

We derive an exact operator bosonization of a finite number of fermions in one space dimension. The fermions can be interacting or noninteracting and can have an arbitrary hamiltonian, as long as there is a countable basis of states in the Hilbert space. In the bosonized theory the finiteness of the number of fermions appears as an ultraviolet cut-off. We discuss implications of this for the bosonized theory. We also discuss applications of our bosonization to one-dimensional fermion systems dual to (sectors of) string theory such as LLM geometries and c=1 matrix model.

[ { "created": "Wed, 21 Sep 2005 12:47:10 GMT", "version": "v1" }, { "created": "Mon, 5 Dec 2005 06:22:18 GMT", "version": "v2" } ]

2009-11-11

[ [ "Dhar", "Avinash", "" ], [ "Mandal", "Gautam", "" ], [ "Suryanarayana", "Nemani V", "" ] ]

We derive an exact operator bosonization of a finite number of fermions in one space dimension. The fermions can be interacting or noninteracting and can have an arbitrary hamiltonian, as long as there is a countable basis of states in the Hilbert space. In the bosonized theory the finiteness of the number of fermions appears as an ultraviolet cut-off. We discuss implications of this for the bosonized theory. We also discuss applications of our bosonization to one-dimensional fermion systems dual to (sectors of) string theory such as LLM geometries and c=1 matrix model.

7.077246

6.954413

7.622062

6.52028

7.0772

6.857672

6.657092

6.223935

6.847705

7.42533

6.734871

6.719155

7.024233

6.839567

6.768931

6.813913

6.664514

6.797167

6.686161

7.107409

6.743883

1504.06168

C. P. Martin Professor

C.P. Martin and David G. Navarro

The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism

27 pages, no figures; typos corrected

Phys. Rev. D 92, 065026 (2015)

10.1103/PhysRevD.92.065026

FTI/UCM 37-2015

hep-th

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

We deduce an evolution equation for an arbitrary hybrid Seiberg-Witten map for compact gauge groups by using the antifield formalism. We show how this evolution equation can be used to obtain the hybrid Seiberg-Witten map as an expansion, which is $\theta$-exact, in the number of ordinary fields. We compute explicitly this expansion up to order three in the number of ordinary gauge fields and then particularize it to case of the Higgs of the noncommutative Standard Model.

[ { "created": "Thu, 23 Apr 2015 13:12:33 GMT", "version": "v1" }, { "created": "Fri, 4 Sep 2015 12:57:21 GMT", "version": "v2" }, { "created": "Fri, 18 Sep 2015 11:46:55 GMT", "version": "v3" } ]

2015-09-30

[ [ "Martin", "C. P.", "" ], [ "Navarro", "David G.", "" ] ]

We deduce an evolution equation for an arbitrary hybrid Seiberg-Witten map for compact gauge groups by using the antifield formalism. We show how this evolution equation can be used to obtain the hybrid Seiberg-Witten map as an expansion, which is $\theta$-exact, in the number of ordinary fields. We compute explicitly this expansion up to order three in the number of ordinary gauge fields and then particularize it to case of the Higgs of the noncommutative Standard Model.

9.886759

8.921879

9.393403

9.082999

8.380368

9.521157

8.417339

9.086014

8.623119

9.654573

8.905628

8.448943

8.886318

8.679373

8.932508

8.794463

8.540148

8.856358

8.73672

9.204059

8.599375

hep-th/0605016

Wei Liao

WZW action in odd dimensional gauge theories

19 pages, text shortened, reference added. Version to appear in PRD

Phys.Rev.D74:065010,2006

10.1103/PhysRevD.74.065010

null

hep-th hep-ph

null

It is shown that Wess-Zumino-Witten (WZW) type actions can be constructed in odd dimensional space-times using Wilson line or Wilson loop. WZW action constructed using Wilson line gives anomalous gauge variations and the WZW action constructed using Wilson loop gives anomalous chiral transformation. We show that pure gauge theory including Yang-Mills action, Chern-Simons action and the WZW action can be defined in odd dimensional space-times with even dimensional boundaries. Examples in 3D and 5D are given. We emphasize that this offers a way to generalize gauge theory in odd dimensions. The WZW action constructed using Wilson line can not be considered as action localized on boundary space-times since it can give anomalous gauge transformations on separated boundaries. We try to show that such WZW action can be obtained in the effective theory when making localized chiral fermions decouple.

[ { "created": "Mon, 1 May 2006 19:42:36 GMT", "version": "v1" }, { "created": "Wed, 30 Aug 2006 18:28:46 GMT", "version": "v2" } ]

2008-11-26

[ [ "Liao", "Wei", "" ] ]

It is shown that Wess-Zumino-Witten (WZW) type actions can be constructed in odd dimensional space-times using Wilson line or Wilson loop. WZW action constructed using Wilson line gives anomalous gauge variations and the WZW action constructed using Wilson loop gives anomalous chiral transformation. We show that pure gauge theory including Yang-Mills action, Chern-Simons action and the WZW action can be defined in odd dimensional space-times with even dimensional boundaries. Examples in 3D and 5D are given. We emphasize that this offers a way to generalize gauge theory in odd dimensions. The WZW action constructed using Wilson line can not be considered as action localized on boundary space-times since it can give anomalous gauge transformations on separated boundaries. We try to show that such WZW action can be obtained in the effective theory when making localized chiral fermions decouple.

9.925739

9.77294

10.435281

9.646951

9.884034

10.172433

9.874586

9.985765

9.351634

11.051406

9.589134

9.715716

9.730042

9.267911

9.702039

9.75899

9.424596

9.346772

9.284815

9.508512

9.468934

1608.03709

Diederik Roest

Sergio Ferrara, Diederik Roest

General sGoldstino Inflation

6 pages, 6 figures; v2: refs added, published version

null

10.1088/1475-7516/2016/10/038

null

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

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

We prove that all inflationary models, including those with dark energy after the end of inflation, can be embedded in minimal supergravity with a single chiral superfield. Moreover, the amount of supersymmetry breaking is independently tunable due to a degeneracy in the choice for the superpotential. The inflaton is a scalar partner of the Goldstino in this set-up. We illustrate our general procedure with two examples that are favoured by the Planck data.

[ { "created": "Fri, 12 Aug 2016 08:20:38 GMT", "version": "v1" }, { "created": "Tue, 25 Oct 2016 09:38:32 GMT", "version": "v2" } ]

2016-11-09

[ [ "Ferrara", "Sergio", "" ], [ "Roest", "Diederik", "" ] ]

We prove that all inflationary models, including those with dark energy after the end of inflation, can be embedded in minimal supergravity with a single chiral superfield. Moreover, the amount of supersymmetry breaking is independently tunable due to a degeneracy in the choice for the superpotential. The inflaton is a scalar partner of the Goldstino in this set-up. We illustrate our general procedure with two examples that are favoured by the Planck data.

8.716768

7.506749

8.768506

7.64813

8.574697

7.340308

7.703266

7.58477

7.694875

9.613541

7.197402

7.588509

8.65819

7.942493

7.70012

7.865103

8.030163

7.622925

7.972036

8.637937

7.500011

0706.0514

Johannes Walcher

Katrin Becker, Melanie Becker, Johannes Walcher

Runaway in the Landscape

26 pages

Phys.Rev.D76:106002,2007

10.1103/PhysRevD.76.106002

null

hep-th

null

We consider flux compactifications of type IIB string theory on the mirror of a rigid Calabi-Yau. In special cases, these models are dual to the type IIA flux vacua with runaway direction in flux space. We show that new weak coupling AdS solutions can be found for large complex structure, while Minkowski solutions with all moduli stabilized are confined to be at strong coupling. The existence of these solutions, as found in a previous work, is nevertheless guaranteed by a non-renormalization theorem of the type IIB flux superpotential. Based on our results, we are led to the conjecture that supersymmetric runaway directions in flux space are always accompanied by a spectrum of moduli masses reaching down to the AdS scale. This could be violated in a non-supersymmetric situation.

[ { "created": "Tue, 5 Jun 2007 15:01:02 GMT", "version": "v1" } ]

2008-11-26

[ [ "Becker", "Katrin", "" ], [ "Becker", "Melanie", "" ], [ "Walcher", "Johannes", "" ] ]

We consider flux compactifications of type IIB string theory on the mirror of a rigid Calabi-Yau. In special cases, these models are dual to the type IIA flux vacua with runaway direction in flux space. We show that new weak coupling AdS solutions can be found for large complex structure, while Minkowski solutions with all moduli stabilized are confined to be at strong coupling. The existence of these solutions, as found in a previous work, is nevertheless guaranteed by a non-renormalization theorem of the type IIB flux superpotential. Based on our results, we are led to the conjecture that supersymmetric runaway directions in flux space are always accompanied by a spectrum of moduli masses reaching down to the AdS scale. This could be violated in a non-supersymmetric situation.

9.394391

9.430143

9.97985

8.917132

9.691713

10.07402

9.38534

9.39629

8.530351

11.140576

8.769164

9.007152

9.547676

9.081055

8.924378

9.219167

9.301845

9.542313

9.052186

9.65449

9.028307

2004.00965

Kellogg S. Stelle

K.S. Stelle

Mass Gaps and Braneworlds -- In Memory of Peter Freund

23 pages, latex; submitted to the Peter Freund Memorial Volume to be published in J. Phys. A: Math. Theor

null

10.1088/1751-8121/ab83ca

null

hep-th

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

Remembering the foundational contributions of Peter Freund to supergravity, and especially to the problems of dimensional compactification, reduction is considered with a non-compact space transverse to the lower dimensional theory. The known problem of a continuum of Kaluza-Klein states is avoided here by the occurrence of a mass gap between a single normalizable zero-eigenvalue transverse wavefunction and the edge of the transverse state continuum. This style of reduction does not yield a formally consistent truncation to the lower dimensional theory, so developing the lower-dimensional effective theory requires integrating out the Kaluza-Klein states lying above the mass gap.

[ { "created": "Thu, 2 Apr 2020 12:53:55 GMT", "version": "v1" } ]

2020-04-03

[ [ "Stelle", "K. S.", "" ] ]

Remembering the foundational contributions of Peter Freund to supergravity, and especially to the problems of dimensional compactification, reduction is considered with a non-compact space transverse to the lower dimensional theory. The known problem of a continuum of Kaluza-Klein states is avoided here by the occurrence of a mass gap between a single normalizable zero-eigenvalue transverse wavefunction and the edge of the transverse state continuum. This style of reduction does not yield a formally consistent truncation to the lower dimensional theory, so developing the lower-dimensional effective theory requires integrating out the Kaluza-Klein states lying above the mass gap.

16.095852

13.756822

14.076388

13.451814

15.400491

13.392855

15.239889

12.66798

13.623729

15.302853

14.790636

13.557024

13.303618

12.370739

13.011861

13.191812

13.167685

13.606593

13.441183

13.742516

13.888066

hep-th/0206064

Amer Iqbal

A note on E-strings

20 pages, References added

Adv.Theor.Math.Phys. 7 (2003) 1-23

null

UTTG-05-02

hep-th

null

We study BPS states in type IIA string compactification on a local Calabi-Yau 3-fold which are related to the BPS states of the E-string. Using Picard-Lefshetz transformations of the 3-cycles on the mirror manifold we determine automorphisms of the K-theory of the compact divisor of the Calabi-Yau which maps certain D-brane configurations to a bound state of single D4-brane with multiple D0-branes. This map allows us to write down the generating functions for the multiplicity of these BPS states.

[ { "created": "Mon, 10 Jun 2002 19:29:23 GMT", "version": "v1" }, { "created": "Thu, 13 Jun 2002 02:04:57 GMT", "version": "v2" }, { "created": "Wed, 24 Dec 2003 21:49:45 GMT", "version": "v3" } ]

2007-05-23

[ [ "Iqbal", "Amer", "" ] ]

We study BPS states in type IIA string compactification on a local Calabi-Yau 3-fold which are related to the BPS states of the E-string. Using Picard-Lefshetz transformations of the 3-cycles on the mirror manifold we determine automorphisms of the K-theory of the compact divisor of the Calabi-Yau which maps certain D-brane configurations to a bound state of single D4-brane with multiple D0-branes. This map allows us to write down the generating functions for the multiplicity of these BPS states.

7.122768

6.491532

9.708429

7.036094

8.056618

6.728568

6.646454

7.260354

7.023818

10.268048

7.204351

6.754874

8.612776

6.945949

7.214326

7.14466

7.008377

7.009016

7.128375

8.347829

6.785595

1809.04260

Gabi Zafrir

On the torus compactifications of $Z_2$ orbifolds of E-string theories

34 pages, 8 figures

null

10.1007/JHEP10(2019)040

null

hep-th

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

We consider the torus compactifications with flux of a class of $6d$ $(1,0)$ SCFTs that can be engineered as the low-energy theories on M$5$-branes near an M$9$-plane on a $C^2/Z_2$ singularity. Specifically, we concentrate on the two SCFTs where the $Z_2$ orbifold action acts non-trivially on the $E_8$ global symmetry. We analyze this problem by compactifying to $5d$, where we can exploit the relation to $5d$ duality domain walls. By a suitable guess of the domain wall theories, the resulting $4d$ theories can be conjectured. These can then be tested by comparing their properties, notably anomalies and symmetries, against the $6d$ expectations. These constructions lead to various interesting $4d$ phenomena like dualities and symmetry enhancements.

[ { "created": "Wed, 12 Sep 2018 05:20:45 GMT", "version": "v1" } ]

2019-10-23

[ [ "Zafrir", "Gabi", "" ] ]

We consider the torus compactifications with flux of a class of $6d$ $(1,0)$ SCFTs that can be engineered as the low-energy theories on M$5$-branes near an M$9$-plane on a $C^2/Z_2$ singularity. Specifically, we concentrate on the two SCFTs where the $Z_2$ orbifold action acts non-trivially on the $E_8$ global symmetry. We analyze this problem by compactifying to $5d$, where we can exploit the relation to $5d$ duality domain walls. By a suitable guess of the domain wall theories, the resulting $4d$ theories can be conjectured. These can then be tested by comparing their properties, notably anomalies and symmetries, against the $6d$ expectations. These constructions lead to various interesting $4d$ phenomena like dualities and symmetry enhancements.

8.056922

6.420497

8.413773

6.670256

6.684718

6.99995

7.530858

6.625687

6.679606

9.486791

6.927014

7.496378

7.978358

7.253975

7.418118

7.286798

7.546195

7.214548

7.240077

7.715976

7.126116

1310.4505

Heeyeon Kim

Heeyeon Kim, Sungjay Lee and Piljin Yi

Exact Partition Functions on RP2 and Orientifolds

55 pages, 1 figure, published version: discussions on role of theta angle and on r-charge dependent normalization calrified; typos corrected; one reference added

null

10.1007/JHEP02(2014)103

null

hep-th

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

We consider gauged linear sigma models (GLSM) on $\mathbb{RP}^2$, obtained from a parity projection of $S^2$. The theories admit squashing deformation, much like GLSM on $S^2$, which allows us to interpret the partition function as the overlap amplitude between the vacuum state and crosscap states. From these, we extract the central charge of Orientifold planes, and observe that the Gamma class makes a prominent appearance as in the recent D-brane counterpart. We also repeat the computation for the mirror Landau-Ginzburg theory, which naturally brings out the $\theta$-dependence as a relative sign between two holonomy sectors on $\mathbb{RP}^2$. We also show how our results are consistent with known topological properties of D-brane and Orientifold plane world-volumes, and discuss what part of the wrapped D-brane/Orientifold central charge should be attributed to the quantum volumes.

[ { "created": "Wed, 16 Oct 2013 20:00:12 GMT", "version": "v1" }, { "created": "Thu, 6 Feb 2014 02:57:28 GMT", "version": "v2" } ]

2015-06-17

[ [ "Kim", "Heeyeon", "" ], [ "Lee", "Sungjay", "" ], [ "Yi", "Piljin", "" ] ]

We consider gauged linear sigma models (GLSM) on $\mathbb{RP}^2$, obtained from a parity projection of $S^2$. The theories admit squashing deformation, much like GLSM on $S^2$, which allows us to interpret the partition function as the overlap amplitude between the vacuum state and crosscap states. From these, we extract the central charge of Orientifold planes, and observe that the Gamma class makes a prominent appearance as in the recent D-brane counterpart. We also repeat the computation for the mirror Landau-Ginzburg theory, which naturally brings out the $\theta$-dependence as a relative sign between two holonomy sectors on $\mathbb{RP}^2$. We also show how our results are consistent with known topological properties of D-brane and Orientifold plane world-volumes, and discuss what part of the wrapped D-brane/Orientifold central charge should be attributed to the quantum volumes.

14.696726

12.771995

13.951114

12.712074

12.748894

13.410134

12.143693

11.92966

12.140836

16.125381

11.602138

12.623504

13.132236

12.197814

12.541823

12.62937

12.325319

12.277966

12.469131

13.166245

11.945276

1107.0368

Karl Landsteiner

Karl Landsteiner, Eugenio Megias, Luis Melgar, Francisco Pena-Benitez

Holographic Gravitational Anomaly and Chiral Vortical Effect

27 pages, no figures

null

10.1007/JHEP09(2011)121

IFT-UAM/CSIC-11-45

hep-th hep-ph

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

We analyze a holographic model with a pure gauge and a mixed gauge-gravitational Chern-Simons term in the action. These are the holographic implementations of the usual chiral and the mixed gauge-gravitational anomalies in four dimensional field theories with chiral fermions. We discuss the holographic renormalization and show that the gauge-gravitational Chern-Simons term does not induce new divergences. In order to cancel contributions from the extrinsic curvature at a boundary at finite distance a new type of counterterm has to be added however. This counterterm can also serve to make the Dirichlet problem well defined in case the gauge field strength vanishes on the boundary. A charged asymptotically AdS black hole is a solution to the theory and as an application we compute the chiral magnetic and chiral vortical conductivities via Kubo formulas. We find that the characteristic term proportional to T^2 is present also at strong coupling and that its numerical value is not renormalized compared to the weak coupling result.

[ { "created": "Sat, 2 Jul 2011 10:36:37 GMT", "version": "v1" } ]

2015-05-28

[ [ "Landsteiner", "Karl", "" ], [ "Megias", "Eugenio", "" ], [ "Melgar", "Luis", "" ], [ "Pena-Benitez", "Francisco", "" ] ]

We analyze a holographic model with a pure gauge and a mixed gauge-gravitational Chern-Simons term in the action. These are the holographic implementations of the usual chiral and the mixed gauge-gravitational anomalies in four dimensional field theories with chiral fermions. We discuss the holographic renormalization and show that the gauge-gravitational Chern-Simons term does not induce new divergences. In order to cancel contributions from the extrinsic curvature at a boundary at finite distance a new type of counterterm has to be added however. This counterterm can also serve to make the Dirichlet problem well defined in case the gauge field strength vanishes on the boundary. A charged asymptotically AdS black hole is a solution to the theory and as an application we compute the chiral magnetic and chiral vortical conductivities via Kubo formulas. We find that the characteristic term proportional to T^2 is present also at strong coupling and that its numerical value is not renormalized compared to the weak coupling result.

7.009713

6.944959

7.356821

6.632006

7.038692

7.128003

7.042684

6.501241

6.792062

7.925713

6.70088

6.855814

6.942415

6.750721

7.057277

6.619881

6.834757

6.901417

6.788572

6.969216

6.682488

2002.04604

Giulia Fardelli

A. Bissi, G. Fardelli and A. Georgoudis

Towards All Loop Supergravity Amplitudes on $AdS_5 \times S^5$

7 pages. V2: reformatted for Phys. Rev. D, accepted version

Phys. Rev. D 104, 041901 (2021)

10.1103/PhysRevD.104.L041901

null

hep-th

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

We study the four point function of the superconformal primary of the stress-tensor multiplet in four dimensional $\mathcal{N}=4$ Super Yang Mills, at large 't Hooft coupling and in a large $N$ expansion. This observable is holographically dual to four graviton amplitudes in type IIB supergravity on $AdS_5 \times S^5$. We construct the most trascendental piece of the correlator at order $N^{-6}$ and compare it with the flat space limit of the corresponding two loops amplitude. This comparison allows us to conjecture structures of the correlator/amplitude which should be present at any loop order.

[ { "created": "Tue, 11 Feb 2020 18:55:30 GMT", "version": "v1" }, { "created": "Thu, 2 Sep 2021 07:13:30 GMT", "version": "v2" } ]

2021-09-03

[ [ "Bissi", "A.", "" ], [ "Fardelli", "G.", "" ], [ "Georgoudis", "A.", "" ] ]

We study the four point function of the superconformal primary of the stress-tensor multiplet in four dimensional $\mathcal{N}=4$ Super Yang Mills, at large 't Hooft coupling and in a large $N$ expansion. This observable is holographically dual to four graviton amplitudes in type IIB supergravity on $AdS_5 \times S^5$. We construct the most trascendental piece of the correlator at order $N^{-6}$ and compare it with the flat space limit of the corresponding two loops amplitude. This comparison allows us to conjecture structures of the correlator/amplitude which should be present at any loop order.

5.211329

5.27914

5.901152

4.991585

5.416895

5.343354

4.765991

5.024498

5.167506

6.151198

5.15822

5.112412

5.508279

5.112824

5.045133

5.008306

4.8522

4.883031

4.929521

5.396601

4.934248

1905.02632

Koji Hashimoto

Koji Hashimoto, Wataru Sasaki, Takayuki Sumimoto

$1/N$ correction in holographic Wilson loop from quantum gravity

15 pages, 9 figures

null

10.1007/JHEP12(2019)138

OU-HET-1018

hep-th gr-qc

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

We study $1/N$ corrections to a Wilson loop in holographic duality. Extending the AdS/CFT correspondence beyond the large $N$ limit is an important but a subtle issue, as it needs quantum gravity corrections in the gravity side. To find a physical property of the quantum corrected geometry of near-horizon black 0-branes previously obtained by Hyakutake, we evaluate a Euclidean string worldsheet hanging down in the geometry, which corresponds to a rectangular Wilson loop in the $SU(N)$ quantum mechanics with 16 supercharges at a finite temperature with finite $N$. We find that the potential energy defined by the Wilson loop increases due to the $1/N$ correction, therefore the quantum gravity correction weakens the gravitational attraction.

[ { "created": "Tue, 7 May 2019 15:04:29 GMT", "version": "v1" } ]

2020-01-29

[ [ "Hashimoto", "Koji", "" ], [ "Sasaki", "Wataru", "" ], [ "Sumimoto", "Takayuki", "" ] ]

We study $1/N$ corrections to a Wilson loop in holographic duality. Extending the AdS/CFT correspondence beyond the large $N$ limit is an important but a subtle issue, as it needs quantum gravity corrections in the gravity side. To find a physical property of the quantum corrected geometry of near-horizon black 0-branes previously obtained by Hyakutake, we evaluate a Euclidean string worldsheet hanging down in the geometry, which corresponds to a rectangular Wilson loop in the $SU(N)$ quantum mechanics with 16 supercharges at a finite temperature with finite $N$. We find that the potential energy defined by the Wilson loop increases due to the $1/N$ correction, therefore the quantum gravity correction weakens the gravitational attraction.

10.746588

11.402457

13.411631

10.464947

10.850354

11.467405

11.234187

11.024928

10.476064

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10.411498

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10.57896

10.62184

10.540554

10.173485

10.281149

10.562444

11.725551

10.365551

1308.5264

Urs Schreiber

Domenico Fiorenza, Hisham Sati, Urs Schreiber

Super Lie n-algebra extensions, higher WZW models, and super p-branes with tensor multiplet fields

28 pages, published version plus one typo fixed

International Journal of Geometric Methods in Modern Physics Volume 12, Issue 02 (2015) 1550018

null

hep-th math.AT math.DG

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

We formalize higher dimensional and higher gauge WZW-type sigma-model local prequantum field theory, and discuss its rationalized/perturbative description in (super-)Lie n-algebra homotopy theory (the true home of the "FDA"-language used in the supergravity literature). We show generally how the intersection laws for such higher WZW-type sigma-model branes (open brane ending on background brane) are encoded precisely in (super-) L-infinity-extension theory and how the resulting "extended (super-)spacetimes" formalize spacetimes containing sigma model brane condensates. As an application we prove in Lie n-algebra homotopy theory that the complete super p-brane spectrum of superstring/M-theory is realized this way, including the pure sigma-model branes (the "old brane scan") but also the branes with tensor multiplet worldvolume fields, notably the D-branes and the M5-brane. For instance the degree-0 piece of the higher symmetry algebra of 11-dimensional spacetime with an M2-brane condensate turns out to be the "M-theory super Lie algebra". We also observe that in this formulation there is a simple formal proof of the fact that type IIA spacetime with a D0-brane condensate is the 11-dimensional sugra/M-theory spacetime, and of (prequantum) S-duality for type IIB string theory. Finally we give the non-perturbative description of all this by higher WZW-type sigma-models on higher super-orbispaces with higher WZW terms in stacky differential cohomology.

[ { "created": "Fri, 23 Aug 2013 23:33:52 GMT", "version": "v1" }, { "created": "Thu, 5 Sep 2013 20:39:27 GMT", "version": "v2" }, { "created": "Tue, 17 Mar 2015 13:12:47 GMT", "version": "v3" } ]

2015-03-18

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

We formalize higher dimensional and higher gauge WZW-type sigma-model local prequantum field theory, and discuss its rationalized/perturbative description in (super-)Lie n-algebra homotopy theory (the true home of the "FDA"-language used in the supergravity literature). We show generally how the intersection laws for such higher WZW-type sigma-model branes (open brane ending on background brane) are encoded precisely in (super-) L-infinity-extension theory and how the resulting "extended (super-)spacetimes" formalize spacetimes containing sigma model brane condensates. As an application we prove in Lie n-algebra homotopy theory that the complete super p-brane spectrum of superstring/M-theory is realized this way, including the pure sigma-model branes (the "old brane scan") but also the branes with tensor multiplet worldvolume fields, notably the D-branes and the M5-brane. For instance the degree-0 piece of the higher symmetry algebra of 11-dimensional spacetime with an M2-brane condensate turns out to be the "M-theory super Lie algebra". We also observe that in this formulation there is a simple formal proof of the fact that type IIA spacetime with a D0-brane condensate is the 11-dimensional sugra/M-theory spacetime, and of (prequantum) S-duality for type IIB string theory. Finally we give the non-perturbative description of all this by higher WZW-type sigma-models on higher super-orbispaces with higher WZW terms in stacky differential cohomology.

7.69139

11.682414

11.973491

10.170299

11.323627

12.381119

12.053433

11.148101

10.269108

13.68762

9.868705

8.840125

9.018188

8.186619

8.46917

8.725949

8.521576

8.743232

8.471362

9.624384

8.163176

hep-th/9905225

Hiroshi Suzuki

Hiroshi Suzuki (Ibaraki University)

Invariant Regularization of Supersymmetric Chiral Gauge Theory

uses PTPTeX, 16 pages, based on the invited talk in the workshop on ``Gauge Theory and Integrable Models,'' January 1999, Kyoto

Prog.Theor.Phys.Suppl.135:194-210,1999

10.1143/PTPS.135.194

IU-MSTP/34

hep-th

null

We present a regularization scheme which respects the supersymmetry and the maximal background gauge covariance in supersymmetric chiral gauge theories. When the anomaly cancellation condition is satisfied, the effective action in the superfield background field method automatically restores the gauge invariance without counterterms. The scheme also provides a background gauge covariant definition of composite operators that is especially useful in analyzing anomalies. We present several applications: The minimal consistent gauge anomaly; the super-chiral anomaly and the superconformal anomaly; as the corresponding anomalous commutators, the Konishi anomaly and an anomalous supersymmetric transformation law of the supercurrent (the ``central extension'' of N=1 supersymmetry algebra) and of the R-current.

[ { "created": "Mon, 31 May 1999 06:35:26 GMT", "version": "v1" } ]

2008-11-26

[ [ "Suzuki", "Hiroshi", "", "Ibaraki University" ] ]

We present a regularization scheme which respects the supersymmetry and the maximal background gauge covariance in supersymmetric chiral gauge theories. When the anomaly cancellation condition is satisfied, the effective action in the superfield background field method automatically restores the gauge invariance without counterterms. The scheme also provides a background gauge covariant definition of composite operators that is especially useful in analyzing anomalies. We present several applications: The minimal consistent gauge anomaly; the super-chiral anomaly and the superconformal anomaly; as the corresponding anomalous commutators, the Konishi anomaly and an anomalous supersymmetric transformation law of the supercurrent (the ``central extension'' of N=1 supersymmetry algebra) and of the R-current.

13.600849

13.722433

14.34766

12.434519

12.148124

13.61095

11.917456

13.113542

11.86518

14.720792

12.600194

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12.823325

12.557717

12.635795

12.98596

12.630285

13.079896

12.557446

12.844144

12.065501

hep-th/0310058

Keshav Dasgupta

Katrin Becker, Melanie Becker, Keshav Dasgupta, Paul S. Green, Eric Sharpe

Compactifications of Heterotic Strings on Non-Kahler Complex Manifolds: II

106 pages, 8 .eps figures, Harvmac; v2: Some sections expanded, typos corrected and references updated; v3: More typos corrected, one section expanded and references added. Final version to appear in Nucl. Phys. B

Nucl.Phys.B678:19-100,2004

10.1016/j.nuclphysb.2003.11.029

UMD-PP-03-69, SU-ITP-03/24, ILL-(TH)-03-07

hep-th

null

We continue our study of heterotic compactifications on non-Kahler complex manifolds with torsion. We give further evidence of the consistency of the six-dimensional manifold presented earlier and discuss the anomaly cancellation and possible supergravity description for a generic non-Kahler complex manifold using the newly proposed superpotential. The manifolds studied in our earlier papers had zero Euler characteristics. We construct new examples of non-Kahler complex manifolds with torsion in lower dimensions, that have non-zero Euler characteristics. Some of these examples are constructed from consistent backgrounds in F-theory and therefore are solutions to the string equations of motion. We discuss consistency conditions for compactifications of the heterotic string on smooth non-Kahler manifolds and illustrate how some results well known for Calabi-Yau compactifications, including counting the number of generations, apply to the non-Kahler case. We briefly address various issues regarding possible phenomenological applications.

[ { "created": "Mon, 6 Oct 2003 22:28:38 GMT", "version": "v1" }, { "created": "Wed, 15 Oct 2003 05:58:07 GMT", "version": "v2" }, { "created": "Sat, 15 Nov 2003 00:21:14 GMT", "version": "v3" } ]

2010-04-06

[ [ "Becker", "Katrin", "" ], [ "Becker", "Melanie", "" ], [ "Dasgupta", "Keshav", "" ], [ "Green", "Paul S.", "" ], [ "Sharpe", "Eric", "" ] ]

We continue our study of heterotic compactifications on non-Kahler complex manifolds with torsion. We give further evidence of the consistency of the six-dimensional manifold presented earlier and discuss the anomaly cancellation and possible supergravity description for a generic non-Kahler complex manifold using the newly proposed superpotential. The manifolds studied in our earlier papers had zero Euler characteristics. We construct new examples of non-Kahler complex manifolds with torsion in lower dimensions, that have non-zero Euler characteristics. Some of these examples are constructed from consistent backgrounds in F-theory and therefore are solutions to the string equations of motion. We discuss consistency conditions for compactifications of the heterotic string on smooth non-Kahler manifolds and illustrate how some results well known for Calabi-Yau compactifications, including counting the number of generations, apply to the non-Kahler case. We briefly address various issues regarding possible phenomenological applications.

8.155081

7.749797

8.607617

7.863755

7.902621

7.675436

8.674631

7.553147

7.775972

8.780032

7.523069

7.877542

8.265363

7.977344

7.92757

7.877808

8.173361

8.112369

7.937802

8.170592

7.943145

hep-th/0007072

Andrei Zotov

A.Zotov

On Relation Between Moyal and Kontsevich Quantum Products. Direct Evaluation up to the $\hbar^3$-Order

LaTeX, 8 pages

Mod.Phys.Lett. A16 (2001) 615-626

10.1142/S0217732301003693

null

hep-th

null

In his celebrated paper Kontsevich has proved a theorem which manifestly gives a quantum product (deformation quantization formula) and states that changing coordinates leads to gauge equivalent star products. To illuminate his procedure, we make an arbitrary change of coordinates in the Moyal product and obtain the deformation quantization formula up to the third order. In this way, the Poisson bi-vector is shown to depend on \hbar and not to satisfy the Jacobi identity. It is also shown that the values of coefficients in the formula obtained follow from associativity of the star product.

[ { "created": "Sun, 9 Jul 2000 17:51:39 GMT", "version": "v1" } ]

2009-10-31

[ [ "Zotov", "A.", "" ] ]

In his celebrated paper Kontsevich has proved a theorem which manifestly gives a quantum product (deformation quantization formula) and states that changing coordinates leads to gauge equivalent star products. To illuminate his procedure, we make an arbitrary change of coordinates in the Moyal product and obtain the deformation quantization formula up to the third order. In this way, the Poisson bi-vector is shown to depend on \hbar and not to satisfy the Jacobi identity. It is also shown that the values of coefficients in the formula obtained follow from associativity of the star product.

14.515677

13.773602

15.615649

13.687307

15.504331

14.378335

14.479737

13.240298

13.200936

16.422821

13.700312

13.034918

14.246827

13.521455

13.41189

12.63141

13.092963

13.13476

13.303181

13.740707

13.068416

hep-th/0205090

Barak Kol

Ofer Aharony, Barak Kol and Shimon Yankielowicz

On Exactly Marginal Deformations of N=4 SYM and Type IIB Supergravity on AdS_5 * S^5

45 pages, 1 figure, v2 - JHEP published version

JHEP 0206:039,2002

10.1088/1126-6708/2002/06/039

null

hep-th

null

N=4 supersymmetric Yang-Mills theory with gauge group SU(n) (n>=3) is believed to have two exactly marginal deformations which break the supersymmetry to N=1. We discuss the construction of the string theory dual to these deformations, in the supergravity approximation, in a perturbation series around the AdS_5 * S^5 solution. We construct explicitly the deformed solution at second order in the deformation. We show that deformations which are marginal but not exactly marginal lead to a non-conformal solution with a logarithmically running coupling constant. Surprisingly, at third order in the deformation we find the same beta functions for the couplings in field theory and in supergravity, suggesting that the leading order beta functions (or anomalous dimensions) do not depend on the gauge coupling (the coefficient is not renormalized).

[ { "created": "Thu, 9 May 2002 21:12:49 GMT", "version": "v1" }, { "created": "Wed, 26 Jun 2002 14:41:49 GMT", "version": "v2" } ]

2009-11-07

[ [ "Aharony", "Ofer", "" ], [ "Kol", "Barak", "" ], [ "Yankielowicz", "Shimon", "" ] ]

N=4 supersymmetric Yang-Mills theory with gauge group SU(n) (n>=3) is believed to have two exactly marginal deformations which break the supersymmetry to N=1. We discuss the construction of the string theory dual to these deformations, in the supergravity approximation, in a perturbation series around the AdS_5 * S^5 solution. We construct explicitly the deformed solution at second order in the deformation. We show that deformations which are marginal but not exactly marginal lead to a non-conformal solution with a logarithmically running coupling constant. Surprisingly, at third order in the deformation we find the same beta functions for the couplings in field theory and in supergravity, suggesting that the leading order beta functions (or anomalous dimensions) do not depend on the gauge coupling (the coefficient is not renormalized).

6.777972

6.275921

6.980216

6.362625

6.489674

6.363043

6.326455

6.083856

6.277653

7.757762

6.122251

6.302369

6.672676

6.264044

6.298113

6.371046

6.121683

6.292377

6.346894

6.393871

6.299688

hep-th/9508138

null

N.A. Saulina, E.M. Terentjev and M.V. Terentiev

GRAMA. A Mathematica program for analytical calculations in 10-dimensional supergravity. Version 1.0

GRAMA user-manual and basic algorithms (LaTeX, 14 pages); Mathematica script for the GRAMA package: files progr-a.ma, progr-b.ma, progr-c.ma, progr-id.ma - 125 Kb total

null

Preprint ITEP 26-95

hep-th

null

"GRAMA" is a Mathematica package for doing symbolic tensor computations and complicated algebraic manipulations in 10-dimensional (D=10) simple (N=1) supergravity. The main new ingredients of this package inside the general Mathematica environment are the computation of complicated products of Dirac matrices and the treatment of covariant derivatives: spinorial and vectorial. In principle, with small modifications, GRAMA can also be used for calculations in 4-dimensional supergravity. With the help of this package we were able to obtain the equations of motion and the Lagrangian for the 10-D supergravity including superstring corrections (see hep-th/9507033) - a calculation that would be otherwise impossible to perform. "GRAMA" is designed as a community- and user-friendly program.

[ { "created": "Fri, 25 Aug 1995 17:22:16 GMT", "version": "v1" }, { "created": "Fri, 25 Aug 1995 23:45:43 GMT", "version": "v2" } ]

2008-02-03

[ [ "Saulina", "N. A.", "" ], [ "Terentjev", "E. M.", "" ], [ "Terentiev", "M. V.", "" ] ]

"GRAMA" is a Mathematica package for doing symbolic tensor computations and complicated algebraic manipulations in 10-dimensional (D=10) simple (N=1) supergravity. The main new ingredients of this package inside the general Mathematica environment are the computation of complicated products of Dirac matrices and the treatment of covariant derivatives: spinorial and vectorial. In principle, with small modifications, GRAMA can also be used for calculations in 4-dimensional supergravity. With the help of this package we were able to obtain the equations of motion and the Lagrangian for the 10-D supergravity including superstring corrections (see hep-th/9507033) - a calculation that would be otherwise impossible to perform. "GRAMA" is designed as a community- and user-friendly program.

10.54844

11.433338

10.835648

10.81201

10.930219

11.757083

10.957711

11.03809

11.994472

12.019471

10.582903

10.416347

10.018426

10.272825

10.784265

10.483141

10.290645

10.775202

10.435335

10.300591

10.555427

1210.1742

Jan Heffner

Hugo Reinhardt, Jan Heffner

The effective potential of the confinement order parameter in the Hamilton approach

5 pages, 3 eps figures; revised version; accepted for publication in Physics Letters B

null

10.1016/j.physletb.2012.10.084

null

hep-th

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

The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach by compactifying one spatial dimension and using a background gauge fixing. Neglecting the ghost and using the perturbative gluon energy one recovers the Weiss potential. From the full non-perturbative potential calculated within a variational approach a critical temperature of the deconfinement phase transition of 269 MeV is found for the gauge group SU(2).

[ { "created": "Fri, 5 Oct 2012 12:57:14 GMT", "version": "v1" }, { "created": "Wed, 31 Oct 2012 16:25:48 GMT", "version": "v2" } ]

2015-06-11

[ [ "Reinhardt", "Hugo", "" ], [ "Heffner", "Jan", "" ] ]

The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach by compactifying one spatial dimension and using a background gauge fixing. Neglecting the ghost and using the perturbative gluon energy one recovers the Weiss potential. From the full non-perturbative potential calculated within a variational approach a critical temperature of the deconfinement phase transition of 269 MeV is found for the gauge group SU(2).

11.654094

8.087415

10.530624

7.749192

10.831227

7.588522

7.948993

7.627968

8.849997

10.036741

7.772449

9.804399

10.4947

9.89433

10.406043

10.01459

10.172013

9.605531

9.526233

10.186952

10.388334

hep-th/0404093

Stuart Dowker

J.S.Dowker

Spherical Universe topology and the Casimir effect

33 pages, 1 figure. Typos corrected and one reference added

Class.Quant.Grav. 21 (2004) 4247-4272

10.1088/0264-9381/21/17/012

null

hep-th astro-ph gr-qc

null

The mode problem on the factored 3--sphere is applied to field theory calculations for massless fields of spin 0, 1/2 and 1. The degeneracies on the factors, including lens spaces, are neatly derived in a geometric fashion. Vacuum energies are expressed in terms of the polyhedral degrees and equivalent expressions given using the cyclic decomposition of the covering group. Scalar functional determinants are calculated and the spectral asymmetry function treated by the same approach with explicit forms on one-sided lens spaces.

[ { "created": "Tue, 13 Apr 2004 20:38:43 GMT", "version": "v1" }, { "created": "Fri, 16 Apr 2004 22:22:12 GMT", "version": "v2" } ]

2009-11-10

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

The mode problem on the factored 3--sphere is applied to field theory calculations for massless fields of spin 0, 1/2 and 1. The degeneracies on the factors, including lens spaces, are neatly derived in a geometric fashion. Vacuum energies are expressed in terms of the polyhedral degrees and equivalent expressions given using the cyclic decomposition of the covering group. Scalar functional determinants are calculated and the spectral asymmetry function treated by the same approach with explicit forms on one-sided lens spaces.

31.344439

28.208954

33.26543

25.602228

28.562889

29.47312

26.010378

26.602657

28.844446

38.835884

31.028873

27.532207

30.524197

29.070219

28.386694

28.247543

28.246378

27.904377

29.284531

28.361326

27.876932

hep-th/0209114

Harvey S. Reall

Jerome P. Gauntlett, Jan B. Gutowski, Christopher M. Hull, Stathis Pakis and Harvey S. Reall

All supersymmetric solutions of minimal supergravity in five dimensions

63 pages; substantial additions to the analysis of maximally supersymmetric solutions. Typos corrected and references added

Class.Quant.Grav. 20 (2003) 4587-4634

10.1088/0264-9381/20/21/005

QMUL-PH-02-13

hep-th

null

All purely bosonic supersymmetric solutions of minimal supergravity in five dimensions are classified. The solutions preserve either one half or all of the supersymmetry. Explicit examples of new solutions are given, including a large family of plane-fronted waves and a maximally supersymmetric analogue of the G\"odel universe which lifts to a solution of eleven dimensional supergravity that preserves 20 supersymmetries.

[ { "created": "Fri, 13 Sep 2002 16:44:04 GMT", "version": "v1" }, { "created": "Tue, 11 Mar 2003 18:26:10 GMT", "version": "v2" }, { "created": "Tue, 2 Sep 2003 18:15:10 GMT", "version": "v3" } ]

2009-11-07

[ [ "Gauntlett", "Jerome P.", "" ], [ "Gutowski", "Jan B.", "" ], [ "Hull", "Christopher M.", "" ], [ "Pakis", "Stathis", "" ], [ "Reall", "Harvey S.", "" ] ]

All purely bosonic supersymmetric solutions of minimal supergravity in five dimensions are classified. The solutions preserve either one half or all of the supersymmetry. Explicit examples of new solutions are given, including a large family of plane-fronted waves and a maximally supersymmetric analogue of the G\"odel universe which lifts to a solution of eleven dimensional supergravity that preserves 20 supersymmetries.

7.149254

5.948278

7.354241

5.92467

6.316705

6.960217

6.40777

5.837787

6.362287

7.653048

5.93286

5.81344

7.582169

5.872222

5.725758

5.937751

6.0156

6.164812

6.0149

6.630616

5.987648

1506.04548

Dibakar Roychowdhury

Quantum fluctuations and thermal dissipation in higher derivative gravity

Latex, 21 pages, Version to appear in Nuclear Physics B

Nucl.Phys. B897 (2015) 678-696

10.1016/j.nuclphysb.2015.06.013

null

hep-th

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

In this paper, based on the $ AdS_{2}/CFT_{1} $ prescription, we explore the low frequency behavior of quantum two point functions for a special class of strongly coupled CFTs in one dimension whose dual gravitational counterpart consists of \textit{extremal} black hole solutions in higher derivative theories of gravity defined over an asymptotically AdS space time. The quantum critical points thus described are supposed to correspond to a very large value of the dynamic exponent ($ z\rightarrow \infty $). In our analysis, we find that quantum fluctuations are enhanced due to the higher derivative corrections in the bulk which in turn increases the possibility of quantum phase transition near the critical point. On the field theory side, such higher derivative effects would stand for the corrections appearing due to the finite coupling in the gauge theory. Finally, we compute the coefficient of thermal diffusion at finite coupling corresponding to Gauss Bonnet corrected charged Lifshitz black holes in the bulk. We observe an important crossover corresponding to $ z=5 $ fixed point.

[ { "created": "Mon, 15 Jun 2015 11:01:00 GMT", "version": "v1" } ]

2015-07-01

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

In this paper, based on the $ AdS_{2}/CFT_{1} $ prescription, we explore the low frequency behavior of quantum two point functions for a special class of strongly coupled CFTs in one dimension whose dual gravitational counterpart consists of \textit{extremal} black hole solutions in higher derivative theories of gravity defined over an asymptotically AdS space time. The quantum critical points thus described are supposed to correspond to a very large value of the dynamic exponent ($ z\rightarrow \infty $). In our analysis, we find that quantum fluctuations are enhanced due to the higher derivative corrections in the bulk which in turn increases the possibility of quantum phase transition near the critical point. On the field theory side, such higher derivative effects would stand for the corrections appearing due to the finite coupling in the gauge theory. Finally, we compute the coefficient of thermal diffusion at finite coupling corresponding to Gauss Bonnet corrected charged Lifshitz black holes in the bulk. We observe an important crossover corresponding to $ z=5 $ fixed point.

10.528325

9.618589

10.57973

9.765477

9.717728

9.746743

9.740746

9.217134

9.943915

12.145949

9.962

10.235284

10.782729

10.135927

10.197084

9.95876

10.13415

9.878045

10.165591

11.006447

9.788265

hep-th/9604063

Abdalla Elcio

E. Abdalla, R. Mohayaee and A. Zadra

Screening in Two-dimensional QCD

22 pages, latex file

Int.J.Mod.Phys. A12 (1997) 4539-4558

10.1142/S0217751X97002450

IC/96/51

hep-th

null

We discuss the issue of screening and confinement of external colour charges in bosonised two-dimensional quantum chromodynamics. Our computation relies on the static solutions of the semi-classical equations of motion. The significance of the different representations of the matter field is explicitly studied. We arrive at the conclusion that the screening phase prevails, even in the presence of a small mass term for the fermions. To confirm this result further, we outline the construction of operators corresponding to screened quarks.

[ { "created": "Thu, 11 Apr 1996 14:37:00 GMT", "version": "v1" } ]

2009-10-30

[ [ "Abdalla", "E.", "" ], [ "Mohayaee", "R.", "" ], [ "Zadra", "A.", "" ] ]

We discuss the issue of screening and confinement of external colour charges in bosonised two-dimensional quantum chromodynamics. Our computation relies on the static solutions of the semi-classical equations of motion. The significance of the different representations of the matter field is explicitly studied. We arrive at the conclusion that the screening phase prevails, even in the presence of a small mass term for the fermions. To confirm this result further, we outline the construction of operators corresponding to screened quarks.

14.315425

11.118102

12.858449

11.253182

11.542954

10.425719

11.384732

11.897118

11.337561

13.671616

11.360161

11.443799

12.66342

12.323683

11.698828

11.755071

12.067173

12.708225

12.002327

12.247376

11.683052

2107.08753

Ryo Yokokura

Yoshimasa Hidaka, Muneto Nitta, Ryo Yokokura

Topological axion electrodynamics and 4-group symmetry

8 pages, 2 figures; v2: minor revision, published version with more references

Phys. Lett. B 823 (2021) 136762

10.1016/j.physletb.2021.136762

KEK-TH-2331, J-PARC-TH-0243

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

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

We study higher-form symmetries and a higher group in the low energy limit of a $(3+1)$-dimensional axion electrodynamics with a massive axion and a massive photon. A topological field theory describing topological excitations with the axion-photon coupling, which we call a topological axion electrodynamics, is obtained in the low energy limit. Higher-form symmetries of the topological axion electrodynamics are specified by equations of motion and Bianchi identities. We find that there are induced anyons on the intersections of symmetry generators. By a link of worldlines of the anyons, we show that the worldvolume of an axionic domain wall is topologically ordered. We further specify the underlying mathematical structure elegantly describing all salient features of the theory to be a 4-group.

[ { "created": "Mon, 19 Jul 2021 11:02:40 GMT", "version": "v1" }, { "created": "Thu, 3 Mar 2022 06:25:18 GMT", "version": "v2" } ]

2022-03-04

[ [ "Hidaka", "Yoshimasa", "" ], [ "Nitta", "Muneto", "" ], [ "Yokokura", "Ryo", "" ] ]

We study higher-form symmetries and a higher group in the low energy limit of a $(3+1)$-dimensional axion electrodynamics with a massive axion and a massive photon. A topological field theory describing topological excitations with the axion-photon coupling, which we call a topological axion electrodynamics, is obtained in the low energy limit. Higher-form symmetries of the topological axion electrodynamics are specified by equations of motion and Bianchi identities. We find that there are induced anyons on the intersections of symmetry generators. By a link of worldlines of the anyons, we show that the worldvolume of an axionic domain wall is topologically ordered. We further specify the underlying mathematical structure elegantly describing all salient features of the theory to be a 4-group.

9.147758

8.433999

9.631743

8.070128

8.473172

8.526277

8.807135

7.969866

8.20668

9.582827

7.965829

8.696495

9.135091

8.566848

8.337625

8.201129

8.655715

8.28406

8.406071

9.243397

8.309258

1004.3450

Johannes Tambornino

Aristide Baratin, Bianca Dittrich, Daniele Oriti, Johannes Tambornino

Non-commutative flux representation for loop quantum gravity

12 pages, matches published version

Class.Quant.Grav.28:175011,2011

10.1088/0264-9381/28/17/175011

null

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

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

The Hilbert space of loop quantum gravity is usually described in terms of cylindrical functionals of the gauge connection, the electric fluxes acting as non-commuting derivation operators. It has long been believed that this non-commutativity prevents a dual flux (or triad) representation of loop quantum gravity to exist. We show here, instead, that such a representation can be explicitly defined, by means of a non-commutative Fourier transform defined on the loop gravity state space. In this dual representation, flux operators act by *-multiplication and holonomy operators act by translation. We describe the gauge invariant dual states and discuss their geometrical meaning. Finally, we apply the construction to the simpler case of a U(1) gauge group and compare the resulting flux representation with the triad representation used in loop quantum cosmology.

[ { "created": "Tue, 20 Apr 2010 13:48:46 GMT", "version": "v1" }, { "created": "Mon, 6 Feb 2012 12:46:58 GMT", "version": "v2" } ]

2015-05-18

[ [ "Baratin", "Aristide", "" ], [ "Dittrich", "Bianca", "" ], [ "Oriti", "Daniele", "" ], [ "Tambornino", "Johannes", "" ] ]

The Hilbert space of loop quantum gravity is usually described in terms of cylindrical functionals of the gauge connection, the electric fluxes acting as non-commuting derivation operators. It has long been believed that this non-commutativity prevents a dual flux (or triad) representation of loop quantum gravity to exist. We show here, instead, that such a representation can be explicitly defined, by means of a non-commutative Fourier transform defined on the loop gravity state space. In this dual representation, flux operators act by *-multiplication and holonomy operators act by translation. We describe the gauge invariant dual states and discuss their geometrical meaning. Finally, we apply the construction to the simpler case of a U(1) gauge group and compare the resulting flux representation with the triad representation used in loop quantum cosmology.

6.112995

8.349739

7.641349

7.340106

7.360601

7.476657

8.794168

7.842848

7.982836

8.320116

7.199759

7.34147

6.886405

6.745268

7.068618

7.284475

6.956857

7.24834

7.012674

6.722577

6.722568

1210.6215

Kirill Krasnov

Gianluca Delfino, Kirill Krasnov and Carlos Scarinci

Pure connection formalism for gravity: Feynman rules and the graviton-graviton scattering

v2: 57 pages, figures, a missing contribution to the all plus amplitude added, discussion improved

J. High Energ. Phys. (2015) 2015: 119

10.1007/JHEP03(2015)119

null

hep-th gr-qc

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

We continue to develop the pure connection formalism for gravity. We derive the Feynman rules for computing the connection correlation functions, as well as the prescription for obtaining the Minkowski space graviton scattering amplitudes from the latter. The present formalism turns out to be simpler than the metric based one in many aspects. Simplifications result from the fact that the conformal factor of the metric, a source of complications in the usual approach, does not propagate in the connection formulation even off-shell. This simplifies both the linearized theory and the interactions. For comparison, in our approach the complete off-shell cubic GR interaction contains just 3 terms, which should be compared to at least a dozen terms in the metric formalism. We put the technology developed to use and compute the simplest graviton-graviton scattering amplitudes. For GR we reproduce the well-known result. For our other, distinct from GR, interacting theories of massless spin 2 particles we obtain non-zero answers for some parity-violating amplitudes. Thus, in the convention that all particles are incoming, we find that the 4 minus, as well as the 3 minus 1 plus amplitudes are zero (as in GR), but the amplitudes with 4 gravitons of positive helicity, as well as the 3 plus 1 minus amplitudes are different from zero. This serves as a good illustration of the type of parity violation present in these theories. We find that the parity-violating amplitudes are important at high energies, and that a general parity-violating member of our class of theories "likes" one helicity (negative in our conventions) more than the other in the sense that at high energies it tends to convert all present gravitons into those of negative helicity.

[ { "created": "Tue, 23 Oct 2012 12:08:55 GMT", "version": "v1" }, { "created": "Tue, 21 Oct 2014 14:13:21 GMT", "version": "v2" } ]

2018-09-05

[ [ "Delfino", "Gianluca", "" ], [ "Krasnov", "Kirill", "" ], [ "Scarinci", "Carlos", "" ] ]

We continue to develop the pure connection formalism for gravity. We derive the Feynman rules for computing the connection correlation functions, as well as the prescription for obtaining the Minkowski space graviton scattering amplitudes from the latter. The present formalism turns out to be simpler than the metric based one in many aspects. Simplifications result from the fact that the conformal factor of the metric, a source of complications in the usual approach, does not propagate in the connection formulation even off-shell. This simplifies both the linearized theory and the interactions. For comparison, in our approach the complete off-shell cubic GR interaction contains just 3 terms, which should be compared to at least a dozen terms in the metric formalism. We put the technology developed to use and compute the simplest graviton-graviton scattering amplitudes. For GR we reproduce the well-known result. For our other, distinct from GR, interacting theories of massless spin 2 particles we obtain non-zero answers for some parity-violating amplitudes. Thus, in the convention that all particles are incoming, we find that the 4 minus, as well as the 3 minus 1 plus amplitudes are zero (as in GR), but the amplitudes with 4 gravitons of positive helicity, as well as the 3 plus 1 minus amplitudes are different from zero. This serves as a good illustration of the type of parity violation present in these theories. We find that the parity-violating amplitudes are important at high energies, and that a general parity-violating member of our class of theories "likes" one helicity (negative in our conventions) more than the other in the sense that at high energies it tends to convert all present gravitons into those of negative helicity.

8.524336

9.748851

8.779237

8.674704

9.724103

9.340582

9.146639

8.784042

9.005613

9.74455

8.661024

8.714656

8.442965

8.557485

8.67002

8.63437

8.752016

8.401313

8.661977

8.446391

8.456012

hep-th/0603066

Atish Dabholkar

Atish Dabholkar and Suresh Nampuri

Spectrum of Dyons and Black Holes in CHL orbifolds using Borcherds Lift

23 pages, 1 figure

JHEP0711:077,2007

10.1088/1126-6708/2007/11/077

TIFR-TH-06-07

hep-th

null

The degeneracies of supersymmetric quarter BPS dyons in four dimensions and of spinning black holes in five dimensions in a CHL compactification are computed exactly using Borcherds lift. The Hodge anomaly in the construction has a physical interpretation as the contribution of a single M-theory Kaluza-Klein 6-brane in the 4d-5d lift. Using factorization, it is shown that the resulting formula has a natural interpretation as a two-loop partition function of left-moving heterotic string, consistent with the heuristic picture of dyons in the M-theory lift of string webs.

[ { "created": "Wed, 8 Mar 2006 19:41:18 GMT", "version": "v1" }, { "created": "Mon, 1 Oct 2007 21:02:46 GMT", "version": "v2" } ]

2008-11-26

[ [ "Dabholkar", "Atish", "" ], [ "Nampuri", "Suresh", "" ] ]

The degeneracies of supersymmetric quarter BPS dyons in four dimensions and of spinning black holes in five dimensions in a CHL compactification are computed exactly using Borcherds lift. The Hodge anomaly in the construction has a physical interpretation as the contribution of a single M-theory Kaluza-Klein 6-brane in the 4d-5d lift. Using factorization, it is shown that the resulting formula has a natural interpretation as a two-loop partition function of left-moving heterotic string, consistent with the heuristic picture of dyons in the M-theory lift of string webs.

13.523538

11.14225

17.748533

10.577024

12.203483

11.582958

11.51485

11.8038

11.62125

18.334324

11.856351

12.31535

16.034277

13.135069

12.215313

12.636054

12.556847

12.400346

13.063652

14.807067

12.362795

hep-th/9305002

Lev Vaidman

Avshalom C. Elitzur and Lev Vaidman

Quantum Mechanical Interaction-Free Measurements

(revised file with no need for macro), 12, TAUP 1865-91#

null

10.1007/BF00736012

null

hep-th

null

A novel manifestation of nonlocality of quantum mechanics is presented. It is shown that it is possible to ascertain the existence of an object in a given region of space without interacting with it. The method might have practical applications for delicate quantum experiments.

[ { "created": "Mon, 3 May 1993 07:22:28 GMT", "version": "v1" }, { "created": "Wed, 5 May 1993 13:59:48 GMT", "version": "v2" } ]

2009-10-22

[ [ "Elitzur", "Avshalom C.", "" ], [ "Vaidman", "Lev", "" ] ]

A novel manifestation of nonlocality of quantum mechanics is presented. It is shown that it is possible to ascertain the existence of an object in a given region of space without interacting with it. The method might have practical applications for delicate quantum experiments.

11.855591

10.112716

9.665861

8.538492

8.554575

8.724959

8.442863

9.004012

9.410317

9.186566

10.111342

8.772962

9.514241

9.272687

8.95306

8.669351

8.840894

8.796101

9.351334

9.850848

9.559974

1805.01877

Fotis Farakos

Fotis Farakos, Alex Kehagias and Antonio Riotto

Liberated N=1 Supergravity

27 pages, published version

null

10.1007/JHEP06(2018)011

null

hep-th hep-ph

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

We discuss a new interaction for chiral models in four-dimensional ${\cal N}=1$ supergavity. It contains a new arbitrary function in addition to the K\"ahler potential and superpotential. Its features include linearly realized off-shell supersymmetry, K\"ahler-Weyl invariance and broken supersymmetry. The corresponding scalar potential is augmented by the arbitrary function which allows freedom in constructing low-energy phenomenological models and inflationary models rooted in supergravity.

[ { "created": "Fri, 4 May 2018 17:46:24 GMT", "version": "v1" }, { "created": "Thu, 31 May 2018 06:05:16 GMT", "version": "v2" } ]

2018-07-04

[ [ "Farakos", "Fotis", "" ], [ "Kehagias", "Alex", "" ], [ "Riotto", "Antonio", "" ] ]

We discuss a new interaction for chiral models in four-dimensional ${\cal N}=1$ supergavity. It contains a new arbitrary function in addition to the K\"ahler potential and superpotential. Its features include linearly realized off-shell supersymmetry, K\"ahler-Weyl invariance and broken supersymmetry. The corresponding scalar potential is augmented by the arbitrary function which allows freedom in constructing low-energy phenomenological models and inflationary models rooted in supergravity.

10.768363

9.879864

12.02301

9.844148

9.954995

10.170621

9.488702

10.192753

10.057006

12.04913

9.773973

10.719966

10.698258

10.804487

10.706302

10.486212

10.319982

10.639585

11.009678

11.13155

10.252053

0809.3623

Laura Mersini-Houghton

Birth of the Universe from the Multiverse

Invited book chapter in the book 'Beyond Big Bang', 25 pages

null

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

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

It is fair to say that the deepest mystery in our understanding of nature is the birth of our universe. Much of the dilemma over the last decades comes from the extraordinarily small probability that the universe started with the high energy Big Bang as compared to the chance of nucleating any other event. How can Big Bang cosmology be $10^{10^{123}}$ times less likely than nucleating the present cold universe, while accumulating such exquisite agreement with astrophysical data? Why don't we see the other nucleations that, if left to chance, seem to overwhelmingly outnumber us? Here I discuss the point of view that the selection of the initial conditions can be meaningfully addressed only within the framework of the multiverse and that the reason why Big Bang inflation was preferred over other events lies in the quantum dynamics of the landscape of the initial patches. The out-of-equilibrium dynamics selected the 'survivor' universes be born at high energies and the 'terminal' universes at low energies. I briefly review the testable predictions of this theory, in particular the giant void observed in 2007. The second part focuses on the extended framework, in particular a set of postulates needed for defining the multiverse.

[ { "created": "Mon, 22 Sep 2008 01:55:43 GMT", "version": "v1" } ]

2008-09-25

[ [ "Mersini-Houghton", "Laura", "" ] ]

It is fair to say that the deepest mystery in our understanding of nature is the birth of our universe. Much of the dilemma over the last decades comes from the extraordinarily small probability that the universe started with the high energy Big Bang as compared to the chance of nucleating any other event. How can Big Bang cosmology be $10^{10^{123}}$ times less likely than nucleating the present cold universe, while accumulating such exquisite agreement with astrophysical data? Why don't we see the other nucleations that, if left to chance, seem to overwhelmingly outnumber us? Here I discuss the point of view that the selection of the initial conditions can be meaningfully addressed only within the framework of the multiverse and that the reason why Big Bang inflation was preferred over other events lies in the quantum dynamics of the landscape of the initial patches. The out-of-equilibrium dynamics selected the 'survivor' universes be born at high energies and the 'terminal' universes at low energies. I briefly review the testable predictions of this theory, in particular the giant void observed in 2007. The second part focuses on the extended framework, in particular a set of postulates needed for defining the multiverse.

16.817598

18.159672

17.680445

16.950815

18.932777

18.795336

17.803049

17.686777

17.411861

17.124458

17.189432

16.045004

16.726316

16.255817

16.279692

16.297987

16.632732

16.681198

16.248093

16.421648

15.838929

hep-th/0211230

Shinobu Hosono

Shinobu Hosono, Bong H. Lian, Keiji Oguiso, Shing-Tung Yau

c=2 Rational Toroidal Conformal Field Theories via the Gauss Product

AMS-TeX, 45 pages; title changed, minor errors corrected, acknowledgement added

Commun.Math.Phys.241:245-286,2003

10.1007/s00220-003-0927-0

null

hep-th math.AG

null

We find a concise relation between the moduli $\tau, \rho$ of a rational Narain lattice $\Gamma(\tau,\rho)$ and the corresponding momentum lattices of left and right chiral algebras via the Gauss product. As a byproduct, we find an identity which counts the cardinality of a certain double coset space defined for isometries between the discriminant forms of rank two lattices.

[ { "created": "Sun, 24 Nov 2002 05:53:13 GMT", "version": "v1" }, { "created": "Thu, 26 Dec 2002 09:38:57 GMT", "version": "v2" }, { "created": "Fri, 2 May 2003 12:32:37 GMT", "version": "v3" } ]

2010-11-19

[ [ "Hosono", "Shinobu", "" ], [ "Lian", "Bong H.", "" ], [ "Oguiso", "Keiji", "" ], [ "Yau", "Shing-Tung", "" ] ]

We find a concise relation between the moduli $\tau, \rho$ of a rational Narain lattice $\Gamma(\tau,\rho)$ and the corresponding momentum lattices of left and right chiral algebras via the Gauss product. As a byproduct, we find an identity which counts the cardinality of a certain double coset space defined for isometries between the discriminant forms of rank two lattices.

12.557026

14.085994

14.768806

12.379005

14.202785

13.228377

15.015358

12.956821

13.323953

16.233747

11.726454

11.210657

12.551881

11.049995

11.223289

11.760919

11.690111

11.631102

11.99259

12.937261

11.205486

2109.02545

Ji Hoon Lee

Davide Gaiotto, Ji Hoon Lee

The Giant Graviton Expansion

38+35 pages

null

hep-th

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

We propose and test a novel conjectural relation satisfied by the superconformal index of maximally supersymmetric $U(N)$ gauge theory in four dimensions. Analogous relations appear to be also valid for the superconformal indices of a large collection of other gauge theories, as well as for a broad class of index-like generating functions. The relation expresses the finite $N$ index as a systematic series of corrections to a large $N$ answer. Individual corrections have an holographic interpretation as the analytic continuation of contributions from "giant graviton" branes fixed by a specific symmetry generator.

[ { "created": "Mon, 6 Sep 2021 15:33:31 GMT", "version": "v1" } ]

2021-09-07

[ [ "Gaiotto", "Davide", "" ], [ "Lee", "Ji Hoon", "" ] ]

We propose and test a novel conjectural relation satisfied by the superconformal index of maximally supersymmetric $U(N)$ gauge theory in four dimensions. Analogous relations appear to be also valid for the superconformal indices of a large collection of other gauge theories, as well as for a broad class of index-like generating functions. The relation expresses the finite $N$ index as a systematic series of corrections to a large $N$ answer. Individual corrections have an holographic interpretation as the analytic continuation of contributions from "giant graviton" branes fixed by a specific symmetry generator.

11.426

10.492166

12.469726

10.232061

11.092395

10.68698

10.243687

10.381416

9.45641

11.758516

9.875663

9.511891

10.910917

9.809497

9.892623

9.784277

10.010337

9.792721

9.919694

10.179677

9.718349

1908.11396

Yuji Sugimoto

Tomohiro Furukawa, Sanefumi Moriyama, Yuji Sugimoto

Quantum Mirror Map for Del Pezzo Geometries

22 pages, 1 eps figure; v5: minor changes, published version

J.Phys.A 53 (2020) 38, 385401

null

NITEP 26, OCU-PHYS 508, USTC-ICTS-19-22

hep-th

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

Mirror maps play an important role in studying supersymmetric gauge theories. In these theories the dynamics is often encoded in an algebraic curve where two sets of periods enjoy the symplectic structure. The A-periods contribute to redefinitions of chemical potentials known as mirror maps. Using the quantization of the $D_5$ del Pezzo geometry, which enjoys the symmetry of the $D_5$ Weyl group, we are able to identify clearly the group-theoretical structure and the multi-covering structure for the mirror map. With the structures, we can apply the mirror map to superconformal Chern-Simons theories describing the worldvolume of multiple M2-branes on various backgrounds, where we find that the redefinition of the chemical potential is obtained directly from the mirror map. Besides, we have interesting observations for the mirror map: The representations appearing in the quantum mirror map are the same as those appearing in the BPS indices except for the trivial case of degree 1 and the coefficients are all integers.

[ { "created": "Thu, 29 Aug 2019 18:00:31 GMT", "version": "v1" }, { "created": "Thu, 19 Sep 2019 02:01:42 GMT", "version": "v2" }, { "created": "Wed, 23 Oct 2019 07:37:21 GMT", "version": "v3" }, { "created": "Mon, 30 Mar 2020 11:51:12 GMT", "version": "v4" }, { "created": "Sat, 31 Oct 2020 11:05:20 GMT", "version": "v5" } ]

2020-11-03

[ [ "Furukawa", "Tomohiro", "" ], [ "Moriyama", "Sanefumi", "" ], [ "Sugimoto", "Yuji", "" ] ]

Mirror maps play an important role in studying supersymmetric gauge theories. In these theories the dynamics is often encoded in an algebraic curve where two sets of periods enjoy the symplectic structure. The A-periods contribute to redefinitions of chemical potentials known as mirror maps. Using the quantization of the $D_5$ del Pezzo geometry, which enjoys the symmetry of the $D_5$ Weyl group, we are able to identify clearly the group-theoretical structure and the multi-covering structure for the mirror map. With the structures, we can apply the mirror map to superconformal Chern-Simons theories describing the worldvolume of multiple M2-branes on various backgrounds, where we find that the redefinition of the chemical potential is obtained directly from the mirror map. Besides, we have interesting observations for the mirror map: The representations appearing in the quantum mirror map are the same as those appearing in the BPS indices except for the trivial case of degree 1 and the coefficients are all integers.

12.772405

12.282986

13.498205

12.141484

12.855985

12.46486

12.826838

13.104405

12.381181

15.285336

12.187165

11.695561

12.564114

11.489718

11.54234

11.815811

11.643163

12.270885

11.790398

12.365973

11.72185

1505.02986

Dietmar Klemm

Federico Faedo, Dietmar Klemm and Masato Nozawa

Hairy black holes in N=2 gauged supergravity

25 pages, 3 figures, uses jheppub.sty. v2: Refs. and some comments added

null

IFUM-1040-FT

hep-th gr-qc

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

We construct black holes with scalar hair in a wide class of four-dimensional N=2 Fayet-Iliopoulos gauged supergravity theories that are characterized by a prepotential containing one free parameter. Considering the truncated model in which only a single real scalar survives, the theory is reduced to an Einstein-scalar system with a potential, which admits at most two AdS critical points and is expressed in terms of a real superpotential. Our solution is static, admits maximally symmetric horizons, asymptotically tends to AdS space corresponding to an extremum of the superpotential, but is disconnected from the Schwarzschild-AdS family. The condition under which the spacetime admits an event horizon is addressed for each horizon topology. It turns out that for hyperbolic horizons the black holes can be extremal. In this case, the near-horizon geometry is AdS_2 x H^2, where the scalar goes to the other, non-supersymmetric, critical point of the potential. Our solution displays fall-off behaviours different from the standard one, due to the fact that the mass parameter $m^2=-2/\ell^2$ at the supersymmetric vacuum lies in a characteristic range $m^2_{BF}\le m^2\le m^2_{\rm BF}+\ell^{-2}$ for which the slowly decaying scalar field is also normalizable. Nevertheless, we identify a well-defined mass for our spacetime, following the prescription of Hertog and Maeda. Quite remarkably, the product of all horizon areas is not given in terms of the asymptotic cosmological constant alone, as one would expect in absence of electromagnetic charges and angular momentum. Our solution shows qualitatively the same thermodynamic behaviour as the Schwarzschild-AdS black hole, but the entropy is always smaller for a given mass and AdS curvature radius. We also find that our spherical black holes are unstable against radial perturbations.

[ { "created": "Tue, 12 May 2015 12:50:13 GMT", "version": "v1" }, { "created": "Fri, 22 May 2015 13:34:40 GMT", "version": "v2" } ]

2015-05-25

[ [ "Faedo", "Federico", "" ], [ "Klemm", "Dietmar", "" ], [ "Nozawa", "Masato", "" ] ]

We construct black holes with scalar hair in a wide class of four-dimensional N=2 Fayet-Iliopoulos gauged supergravity theories that are characterized by a prepotential containing one free parameter. Considering the truncated model in which only a single real scalar survives, the theory is reduced to an Einstein-scalar system with a potential, which admits at most two AdS critical points and is expressed in terms of a real superpotential. Our solution is static, admits maximally symmetric horizons, asymptotically tends to AdS space corresponding to an extremum of the superpotential, but is disconnected from the Schwarzschild-AdS family. The condition under which the spacetime admits an event horizon is addressed for each horizon topology. It turns out that for hyperbolic horizons the black holes can be extremal. In this case, the near-horizon geometry is AdS_2 x H^2, where the scalar goes to the other, non-supersymmetric, critical point of the potential. Our solution displays fall-off behaviours different from the standard one, due to the fact that the mass parameter $m^2=-2/\ell^2$ at the supersymmetric vacuum lies in a characteristic range $m^2_{BF}\le m^2\le m^2_{\rm BF}+\ell^{-2}$ for which the slowly decaying scalar field is also normalizable. Nevertheless, we identify a well-defined mass for our spacetime, following the prescription of Hertog and Maeda. Quite remarkably, the product of all horizon areas is not given in terms of the asymptotic cosmological constant alone, as one would expect in absence of electromagnetic charges and angular momentum. Our solution shows qualitatively the same thermodynamic behaviour as the Schwarzschild-AdS black hole, but the entropy is always smaller for a given mass and AdS curvature radius. We also find that our spherical black holes are unstable against radial perturbations.

8.297248

8.569499

9.038309

8.152429

8.684296

8.889766

8.870009

8.629847

8.70847

9.244168

8.075641

8.393708

8.224519

7.910338

8.33013

8.397081

8.283045

8.117638

8.187596

8.239706

8.073545

hep-th/0608165

Mu-In Park

Mu-in Park

BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy

Accepted in Phys. Rev. D; Shortened version, Raised a new question of the validity of the first law (No. 5 in Sec.5), Clarified the relation with the Euclidean action approach for $1/\hbar$ factor (below (3.2))

Phys.Rev.D77:026011,2008

10.1103/PhysRevD.77.026011

null

hep-th

null

Recently, the BTZ black hole in the presence of the gravitational Chern-Simons (GCS) term has been studied and it has been found that the usual thermodynamical quantities, like as the black hole mass, angular momentum, and black hole entropy, are modified. But, for large values of the GCS coupling, where the modification terms dominate the original terms, some exotic behaviors occur, like as the roles of the mass and angular momentum are interchanged and the black hole entropy depends more on the $inner$-horizon area than the outer one. A basic physical problem of this system is that the form of entropy does not guarantee the second law of thermodynamics, in contrast to the Bekenstein-Hawking (BH) entropy. Moreover, this entropy does $not$ agree with the statistical entropy, in contrast to a good agreement for small values of the GCS coupling. Here I find that there is another entropy formula where the usual BH form dominates the inner-horizon term again, as in the small GCS coupling, such as the second law of thermodynamics can be guaranteed. I compare the result of the holographic approach with the classical- symmetry-algebra-based approach and I find exact agreements even with the higher-derivative term of GCS. This provides a non-trivial check of the AdS/CFT-correspondence in the presence of higher-derivative terms in the gravity action.

[ { "created": "Wed, 23 Aug 2006 19:13:44 GMT", "version": "v1" }, { "created": "Thu, 24 Aug 2006 16:54:59 GMT", "version": "v2" }, { "created": "Fri, 25 Aug 2006 16:48:02 GMT", "version": "v3" }, { "created": "Mon, 31 Dec 2007 02:37:56 GMT", "version": "v4" } ]

2008-11-26

[ [ "Park", "Mu-in", "" ] ]

Recently, the BTZ black hole in the presence of the gravitational Chern-Simons (GCS) term has been studied and it has been found that the usual thermodynamical quantities, like as the black hole mass, angular momentum, and black hole entropy, are modified. But, for large values of the GCS coupling, where the modification terms dominate the original terms, some exotic behaviors occur, like as the roles of the mass and angular momentum are interchanged and the black hole entropy depends more on the $inner$-horizon area than the outer one. A basic physical problem of this system is that the form of entropy does not guarantee the second law of thermodynamics, in contrast to the Bekenstein-Hawking (BH) entropy. Moreover, this entropy does $not$ agree with the statistical entropy, in contrast to a good agreement for small values of the GCS coupling. Here I find that there is another entropy formula where the usual BH form dominates the inner-horizon term again, as in the small GCS coupling, such as the second law of thermodynamics can be guaranteed. I compare the result of the holographic approach with the classical- symmetry-algebra-based approach and I find exact agreements even with the higher-derivative term of GCS. This provides a non-trivial check of the AdS/CFT-correspondence in the presence of higher-derivative terms in the gravity action.

8.617011

8.069955

9.067551

8.155659

8.450986

9.181447

8.795256

8.234054

8.270325

9.237481

8.345879

8.426719

8.633654

8.43366

8.443593

8.386699

8.358129

8.40668

8.275995

8.387242

8.25489

2006.03428

Dharmesh Jain

Sunandan Gangopadhyay, Dharmesh Jain and Ashis Saha

Universal Pieces of Holographic Entanglement Entropy and Holographic Subregion Complexity

v1: 18 pages; v2 & v3: 19 pages, title changed, sections 1 and 2 updated, references added, journal-ref added; v4: typos corrected, minor changes to text (published version)

Phys. Rev. D 102, 046002 (2020)

10.1103/PhysRevD.102.046002

null

hep-th

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

We propose that the definition of holographic subregion complexity (HSC) needs a slight modification for supergravity solutions with warped anti-de Sitter (AdS) factors. Such warp factors can arise due to the nontrivial dilaton profile, for example, in $AdS_6$ solutions of type IIA supergravity. This modified definition ensures that the universal piece of the HSC is proportional to that of the holographic entanglement entropy, as is the case for supergravity solutions without warp factors. This also means that the leading behaviour at large $N$ is the same for both these quantities, as we show for some well-known supergravity solutions (with and without warp factors) in various dimensions. We also show that this relation between the universal pieces suggests "universal" relations between field theoretical analogue of HSC and the sphere partition function or Weyl $a$-anomaly in odd or even dimensions, respectively.

[ { "created": "Fri, 5 Jun 2020 13:27:56 GMT", "version": "v1" }, { "created": "Wed, 29 Jul 2020 16:27:21 GMT", "version": "v2" }, { "created": "Tue, 4 Aug 2020 16:05:34 GMT", "version": "v3" }, { "created": "Wed, 5 Aug 2020 06:34:45 GMT", "version": "v4" } ]

2020-08-06

[ [ "Gangopadhyay", "Sunandan", "" ], [ "Jain", "Dharmesh", "" ], [ "Saha", "Ashis", "" ] ]

We propose that the definition of holographic subregion complexity (HSC) needs a slight modification for supergravity solutions with warped anti-de Sitter (AdS) factors. Such warp factors can arise due to the nontrivial dilaton profile, for example, in $AdS_6$ solutions of type IIA supergravity. This modified definition ensures that the universal piece of the HSC is proportional to that of the holographic entanglement entropy, as is the case for supergravity solutions without warp factors. This also means that the leading behaviour at large $N$ is the same for both these quantities, as we show for some well-known supergravity solutions (with and without warp factors) in various dimensions. We also show that this relation between the universal pieces suggests "universal" relations between field theoretical analogue of HSC and the sphere partition function or Weyl $a$-anomaly in odd or even dimensions, respectively.

8.100758

8.144523

9.204721

7.322469

7.88202

7.800107

7.557945

8.100498

7.525166

9.373521

7.517039

7.676247

8.083978

7.523991

7.694027

7.696986

7.763915

7.407248

7.567731

8.511925

7.762898

1104.3210

Pietro Menotti

Riemann-Hilbert treatment of Liouville theory on the torus: The general case

22 pages, 2 figures, LaTex, added references

J.Phys.A44:335401,2011

10.1088/1751-8113/44/33/335401

IFUP-TH/2011-7-r

hep-th

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

We extend the previous treatment of Liouville theory on the torus, to the general case in which the distribution of charges is not necessarily symmetric. This requires the concept of Fuchsian differential equation on Riemann surfaces. We show through a group theoretic argument that the Heun parameter and a weight constant are sufficient to satisfy all monodromy conditions. We then apply the technique of differential equation on a Riemann surface to the two point function on the torus in which one source is arbitrary and the other small. As a byproduct we give in terms of quadratures the exact Green function on the square and on the rhombus with opening angle 2 pi/6 in the background of the field generated by an arbitrary charge.

[ { "created": "Sat, 16 Apr 2011 08:40:23 GMT", "version": "v1" }, { "created": "Fri, 6 May 2011 07:47:55 GMT", "version": "v2" } ]

2011-07-28

[ [ "Menotti", "Pietro", "" ] ]

We extend the previous treatment of Liouville theory on the torus, to the general case in which the distribution of charges is not necessarily symmetric. This requires the concept of Fuchsian differential equation on Riemann surfaces. We show through a group theoretic argument that the Heun parameter and a weight constant are sufficient to satisfy all monodromy conditions. We then apply the technique of differential equation on a Riemann surface to the two point function on the torus in which one source is arbitrary and the other small. As a byproduct we give in terms of quadratures the exact Green function on the square and on the rhombus with opening angle 2 pi/6 in the background of the field generated by an arbitrary charge.

10.623449

11.919993

12.899934

11.751787

11.102108

11.425232

11.684018

11.238699

11.659472

13.060834

11.155841

11.019885

11.223152

10.746214

10.651358

11.006082

10.781657

11.1368

11.130004

10.872741

10.451916

hep-th/0106195

null

Cesar Gomez, Pedro Resco (IFT-UAM/CSIC)

Topics in String Tachyon Dynamics

42 pages, 8 figures, corrected some typos. Lectures at the IV SIGRAV School and 2001 School of Algebraic Geometry and Physics

null

IFT-UAM/CSIC-01-21

hep-th

null

We review some aspects of string tachyon dynamics with special emphasis on effective actions

[ { "created": "Thu, 21 Jun 2001 11:23:23 GMT", "version": "v1" }, { "created": "Mon, 25 Jun 2001 11:11:03 GMT", "version": "v2" } ]

2007-05-23

[ [ "Gomez", "Cesar", "", "IFT-UAM/CSIC" ], [ "Resco", "Pedro", "", "IFT-UAM/CSIC" ] ]

We review some aspects of string tachyon dynamics with special emphasis on effective actions

24.606544

12.000442

16.501354

13.082391

12.246182

13.443583

11.984053

15.348278

11.511495

17.512293

13.598289

16.00495

18.056877

16.118187

16.512197

16.2118

15.745484

16.825291

16.413357

18.139507

14.930692

1912.03021

Mykola Shpot Dr.

M. A. Shpot

Boundary conformal field theory at the extraordinary transition: The layer susceptibility to $O(\varepsilon)$

v2: optimized for submitting; corrected eq. (59) v3: journal version

JHEP 2021 55

10.1007/JHEP01(2021)055

null

hep-th cond-mat.stat-mech

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

We present an analytic calculation of the layer (parallel) susceptibility at the extraordinary transition in a semi-infinite system with a flat boundary. Using the method of integral transforms put forward by McAvity and Osborn [Nucl. Phys. B 455 (1995) 522] in the boundary CFT we derive the coordinate-space representation of the mean-field propagator at the transition point. The simple algebraic structure of this function provides a practical possibility of higher-order calculations. Thus we calculate the explicit expression for the layer susceptibility at the extraordinary transition in the one-loop approximation. Our result is correct up to order $O(\varepsilon)$ of the $\varepsilon=4-d$ expansion and holds for arbitrary width of the layer and its position in the half-space. We discuss the general structure of our result and consider the limiting cases related to the boundary operator expansion and (bulk) operator product expansion. We compare our findings with previously known results and less complicated formulas in the case of the ordinary transition. We believe that analytic results for layer susceptibilities could be a good starting point for efficient calculations of two-point correlation functions. This possibility would be of great importance given the recent breakthrough in bulk and boundary conformal field theories in general dimensions.

[ { "created": "Fri, 6 Dec 2019 08:42:28 GMT", "version": "v1" }, { "created": "Mon, 18 May 2020 15:47:27 GMT", "version": "v2" }, { "created": "Fri, 8 Jan 2021 10:52:28 GMT", "version": "v3" } ]

2021-01-15

[ [ "Shpot", "M. A.", "" ] ]

We present an analytic calculation of the layer (parallel) susceptibility at the extraordinary transition in a semi-infinite system with a flat boundary. Using the method of integral transforms put forward by McAvity and Osborn [Nucl. Phys. B 455 (1995) 522] in the boundary CFT we derive the coordinate-space representation of the mean-field propagator at the transition point. The simple algebraic structure of this function provides a practical possibility of higher-order calculations. Thus we calculate the explicit expression for the layer susceptibility at the extraordinary transition in the one-loop approximation. Our result is correct up to order $O(\varepsilon)$ of the $\varepsilon=4-d$ expansion and holds for arbitrary width of the layer and its position in the half-space. We discuss the general structure of our result and consider the limiting cases related to the boundary operator expansion and (bulk) operator product expansion. We compare our findings with previously known results and less complicated formulas in the case of the ordinary transition. We believe that analytic results for layer susceptibilities could be a good starting point for efficient calculations of two-point correlation functions. This possibility would be of great importance given the recent breakthrough in bulk and boundary conformal field theories in general dimensions.

10.053194

11.170261

11.741684

10.484246

11.213285

11.925886

10.592844

10.82208

10.474015

12.426476

9.985231

9.976136

10.349717

10.010043

10.069345

10.389253

10.118092

10.306914

9.945354

10.696894

10.055781

1703.07274

Miguel Vazquez-Mozo

Diego Medrano Jimenez, Agustin Sabio Vera, Miguel A. Vazquez-Mozo

Projectivity of Planar Zeros in Field and String Theory Amplitudes

39 page, 5 figures. v2: typos corrected. It matches the version published in Journal of High Energy Physics

JHEP 1705 (2017) 011

10.1007/JHEP05(2017)011

null

hep-th hep-ph

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

We study the projective properties of planar zeros of tree-level scattering amplitudes in various theories. Whereas for pure scalar field theories we find that the planar zeros of the five-point amplitude do not enjoy projective invariance, coupling scalars to gauge fields gives rise to tree-level amplitudes whose planar zeros are determined by homogeneous polynomials in the stereographic coordinates labelling the direction of flight of the outgoing particles. In the case of pure gauge theories, this projective structure is generically destroyed if string corrections are taken into account. Scattering amplitudes of two scalars with graviton emission vanish exactly in the planar limit, whereas planar graviton amplitudes are zero for helicity violating configurations. These results are corrected by string effects, computed using the single-valued projection, which render the planar amplitude nonzero. Finally, we discuss how the structure of planar zeros can be derived from the soft limit behavior of the scattering amplitudes.

[ { "created": "Tue, 21 Mar 2017 15:28:24 GMT", "version": "v1" }, { "created": "Thu, 4 May 2017 14:56:04 GMT", "version": "v2" } ]

2017-05-05

[ [ "Jimenez", "Diego Medrano", "" ], [ "Vera", "Agustin Sabio", "" ], [ "Vazquez-Mozo", "Miguel A.", "" ] ]

We study the projective properties of planar zeros of tree-level scattering amplitudes in various theories. Whereas for pure scalar field theories we find that the planar zeros of the five-point amplitude do not enjoy projective invariance, coupling scalars to gauge fields gives rise to tree-level amplitudes whose planar zeros are determined by homogeneous polynomials in the stereographic coordinates labelling the direction of flight of the outgoing particles. In the case of pure gauge theories, this projective structure is generically destroyed if string corrections are taken into account. Scattering amplitudes of two scalars with graviton emission vanish exactly in the planar limit, whereas planar graviton amplitudes are zero for helicity violating configurations. These results are corrected by string effects, computed using the single-valued projection, which render the planar amplitude nonzero. Finally, we discuss how the structure of planar zeros can be derived from the soft limit behavior of the scattering amplitudes.

10.379911

9.746975

10.331726

9.548388

10.390219

9.092055

10.127224

10.109968

10.263378

11.264263

9.641583

10.003102

10.051754

9.929469

9.865395

9.821111

9.896081

10.03426

9.874514

9.901324

9.974876

hep-th/0211266

Martin Rocek

Ulf Lindstrom, Martin Rocek, and Peter van Nieuwenhuizen

Consistent Boundary Conditions for Open Strings

Latex, 25 pages (references added) (journal version)

Nucl.Phys.B662:147-169,2003

10.1016/S0550-3213(03)00262-1

ITP-UU-01/12, YITP-01/18

hep-th

null

We study boundary conditions for the bosonic, spinning (NSR) and Green-Schwarz open string, as well as for 1+1 dimensional supergravity. We consider boundary conditions that arise from (1) extremizing the action, (2) BRST, rigid or local supersymmetry, or kappa(Siegel)-symmetry of the action, (3) closure of the set of boundary conditions under the symmetry transformations, and (4) the boundary limits of bulk Euler-Lagrange equations that are ``conjugate'' to other boundary conditions. We find corrections to Neumann boundary conditions in the presence of a bulk tachyon field. We discuss a boundary superspace formalism. We also find that path integral quantization of the open string requires an infinite tower of boundary conditions that can be interpreted as a smoothness condition on the doubled interval; we interpret this to mean that for a path-integral formulation of open strings with only Neumann boundary conditions, the description in terms of orientifolds is not just natural, but is actually fundamental.

[ { "created": "Wed, 27 Nov 2002 20:28:55 GMT", "version": "v1" }, { "created": "Thu, 16 Jan 2003 21:18:39 GMT", "version": "v2" }, { "created": "Thu, 6 Mar 2003 13:49:26 GMT", "version": "v3" } ]

2010-12-03

[ [ "Lindstrom", "Ulf", "" ], [ "Rocek", "Martin", "" ], [ "van Nieuwenhuizen", "Peter", "" ] ]

We study boundary conditions for the bosonic, spinning (NSR) and Green-Schwarz open string, as well as for 1+1 dimensional supergravity. We consider boundary conditions that arise from (1) extremizing the action, (2) BRST, rigid or local supersymmetry, or kappa(Siegel)-symmetry of the action, (3) closure of the set of boundary conditions under the symmetry transformations, and (4) the boundary limits of bulk Euler-Lagrange equations that are ``conjugate'' to other boundary conditions. We find corrections to Neumann boundary conditions in the presence of a bulk tachyon field. We discuss a boundary superspace formalism. We also find that path integral quantization of the open string requires an infinite tower of boundary conditions that can be interpreted as a smoothness condition on the doubled interval; we interpret this to mean that for a path-integral formulation of open strings with only Neumann boundary conditions, the description in terms of orientifolds is not just natural, but is actually fundamental.

9.326941

10.263655

10.671699

9.642827

9.520295

9.907559

10.276122

10.391923

9.484615

11.495428

9.002316

9.263563

10.205481

8.940283

8.880185

9.684802

9.222482

9.086365

9.1632

9.946808

9.600071

2202.05866

Clay C\'ordova

Clay Cordova, Kantaro Ohmori, Tom Rudelius

Generalized Symmetry Breaking Scales and Weak Gravity Conjectures

44 pages, 1 figure

null

10.1007/JHEP11(2022)154

null

hep-th hep-ph

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

We explore the notion of approximate global symmetries in quantum field theory and quantum gravity. We show that a variety of conjectures about quantum gravity, including the weak gravity conjecture, the distance conjecture, and the magnetic and axion versions of the weak gravity conjecture can be motivated by the assumption that generalized global symmetries should be strongly broken within the context of low-energy effective field theory, i.e. at a characteristic scale less than the Planck scale where quantum gravity effects become important. For example, the assumption that the electric one-form symmetry of Maxwell theory should be strongly broken below the Planck scale implies the weak gravity conjecture. Similarly, the violation of generalized non-invertible symmetries is closely tied to analogs of this conjecture for non-abelian gauge theory. This reasoning enables us to unify these conjectures with the absence of global symmetries in quantum gravity.

[ { "created": "Fri, 11 Feb 2022 19:13:57 GMT", "version": "v1" } ]

2022-12-14

[ [ "Cordova", "Clay", "" ], [ "Ohmori", "Kantaro", "" ], [ "Rudelius", "Tom", "" ] ]

We explore the notion of approximate global symmetries in quantum field theory and quantum gravity. We show that a variety of conjectures about quantum gravity, including the weak gravity conjecture, the distance conjecture, and the magnetic and axion versions of the weak gravity conjecture can be motivated by the assumption that generalized global symmetries should be strongly broken within the context of low-energy effective field theory, i.e. at a characteristic scale less than the Planck scale where quantum gravity effects become important. For example, the assumption that the electric one-form symmetry of Maxwell theory should be strongly broken below the Planck scale implies the weak gravity conjecture. Similarly, the violation of generalized non-invertible symmetries is closely tied to analogs of this conjecture for non-abelian gauge theory. This reasoning enables us to unify these conjectures with the absence of global symmetries in quantum gravity.

6.876041

6.78934

7.641356

6.090495

6.195504

7.077627

6.960829

6.677839

6.324382

7.753557

6.595358

6.406579

6.791018

6.517592

6.56954

6.582123

6.489204

6.264388

6.503927

6.86526

6.464166

1809.05535

Alan Kostelecky

Benjamin R. Edwards and Alan Kostelecky

Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields

9 pages, version published in Physics Letters B

Phys.Lett.B786: 319-326, 2018

10.1016/j.physletb.2018.10.011

null

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

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

The correspondence between Riemann-Finsler geometries and effective field theories with spin-independent Lorentz violation is explored. We obtain the general quadratic action for effective scalar field theories in any spacetime dimension with Lorentz-violating operators of arbitrary mass dimension. Classical relativistic point-particle lagrangians are derived that reproduce the momentum-velocity and dispersion relations of quantum wave packets. The correspondence to Finsler structures is established, and some properties of the resulting Riemann-Finsler spaces are investigated. The results provide support for open conjectures about Riemann-Finsler geometries associated with Lorentz-violating field theories.

[ { "created": "Fri, 14 Sep 2018 16:33:41 GMT", "version": "v1" }, { "created": "Tue, 16 Oct 2018 14:08:16 GMT", "version": "v2" } ]

2018-10-18

[ [ "Edwards", "Benjamin R.", "" ], [ "Kostelecky", "Alan", "" ] ]

The correspondence between Riemann-Finsler geometries and effective field theories with spin-independent Lorentz violation is explored. We obtain the general quadratic action for effective scalar field theories in any spacetime dimension with Lorentz-violating operators of arbitrary mass dimension. Classical relativistic point-particle lagrangians are derived that reproduce the momentum-velocity and dispersion relations of quantum wave packets. The correspondence to Finsler structures is established, and some properties of the resulting Riemann-Finsler spaces are investigated. The results provide support for open conjectures about Riemann-Finsler geometries associated with Lorentz-violating field theories.

8.724734

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8.732243

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8.601733

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8.400967

8.662768

8.464351

8.211942

8.136027

8.511127

8.323915

8.097719

8.66253

8.29226