LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1905.05190

Sebastian Garcia-Saenz

Sebastian Garcia-Saenz, Jonghee Kang and Riccardo Penco

Gauged Galileons

31 pages; v2: minor additions, matches published version

J. High Energ. Phys. (2019) 2019: 81

10.1007/JHEP07(2019)081

null

hep-th gr-qc

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

We discuss the gauging of non-linearly realized symmetries as a method to systematically construct spontaneously broken gauge theories. We focus in particular on galileon fields and, using a coset construction, we show how to recover massive gravity by gauging the galileon symmetry. We then extend our procedure to the special galileon, and obtain a theory that couples a massive spin-2 field with a traceless symmetric field, and is free of pathologies at quadratic order around flat space.

[ { "created": "Mon, 13 May 2019 18:00:00 GMT", "version": "v1" }, { "created": "Mon, 22 Jul 2019 02:43:25 GMT", "version": "v2" } ]

2019-07-23

[ [ "Garcia-Saenz", "Sebastian", "" ], [ "Kang", "Jonghee", "" ], [ "Penco", "Riccardo", "" ] ]

We discuss the gauging of non-linearly realized symmetries as a method to systematically construct spontaneously broken gauge theories. We focus in particular on galileon fields and, using a coset construction, we show how to recover massive gravity by gauging the galileon symmetry. We then extend our procedure to the special galileon, and obtain a theory that couples a massive spin-2 field with a traceless symmetric field, and is free of pathologies at quadratic order around flat space.

8.07369

7.097428

7.985331

6.793445

6.800609

7.436646

6.594212

6.566

7.518009

9.455112

6.951438

7.174845

7.668113

7.387325

7.277562

7.286036

7.078698

7.625967

7.132949

7.904679

7.461038

hep-th/9803132

David Benjamin Kaplan

Andrew G. Cohen, David B. Kaplan, Ann E. Nelson

Effective Field Theory, Black Holes, and the Cosmological Constant

5 pages, no figures minor clarifications, refs added

Phys.Rev.Lett.82:4971-4974,1999

10.1103/PhysRevLett.82.4971

BU-HEP-98-7, DOE/ER/40561-358-INT98-00-6, UW/PT-97/24

hep-th gr-qc hep-ph

null

Bekenstein has proposed the bound S < pi M_P^2 L^2 on the total entropy S in a volume L^3. This non-extensive scaling suggests that quantum field theory breaks down in large volume. To reconcile this breakdown with the success of local quantum field theory in describing observed particle phenomenology, we propose a relationship between UV and IR cutoffs such that an effective field theory should be a good description of Nature. We discuss implications for the cosmological constant problem. We find a limitation on the accuracy which can be achieved by conventional effective field theory: for example, the minimal correction to (g-2) for the electron from the constrained IR and UV cutoffs is larger than the contribution from the top quark.

[ { "created": "Tue, 17 Mar 1998 00:26:13 GMT", "version": "v1" }, { "created": "Wed, 31 Mar 1999 15:23:50 GMT", "version": "v2" } ]

2009-07-09

[ [ "Cohen", "Andrew G.", "" ], [ "Kaplan", "David B.", "" ], [ "Nelson", "Ann E.", "" ] ]

Bekenstein has proposed the bound S < pi M_P^2 L^2 on the total entropy S in a volume L^3. This non-extensive scaling suggests that quantum field theory breaks down in large volume. To reconcile this breakdown with the success of local quantum field theory in describing observed particle phenomenology, we propose a relationship between UV and IR cutoffs such that an effective field theory should be a good description of Nature. We discuss implications for the cosmological constant problem. We find a limitation on the accuracy which can be achieved by conventional effective field theory: for example, the minimal correction to (g-2) for the electron from the constrained IR and UV cutoffs is larger than the contribution from the top quark.

10.28546

10.932949

11.062481

9.477336

10.354419

10.424906

10.461876

9.944715

9.650136

10.872189

10.121501

9.948995

9.440269

8.885893

9.33823

9.182736

9.086859

9.052022

9.024844

9.205755

9.016022

hep-th/0605148

Maxim Zabzine

Lectures on Generalized Complex Geometry and Supersymmetry

34 pages, the lecture notes from the Winter School "Geometry and Physics", January 14-21, 2006, Srni, Czech Republic

Archivum Math.42:119-146,2006

null

hep-th math.DG

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

These are the lecture notes from the 26th Winter School "Geometry and Physics", Czech Republic, Srni, January 14 - 21, 2006. These lectures are an introduction into the realm of generalized geometry based on the tangent plus the cotangent bundle. In particular we discuss the relation of this geometry to physics, namely to two-dimensional field theories. We explain in detail the relation between generalized complex geometry and supersymmetry. We briefly review the generalized Kahler and generalized Calabi-Yau manifolds and explain their appearance in physics.

[ { "created": "Mon, 15 May 2006 17:07:16 GMT", "version": "v1" }, { "created": "Wed, 28 Jun 2006 09:03:14 GMT", "version": "v2" }, { "created": "Wed, 6 Jun 2007 20:42:20 GMT", "version": "v3" }, { "created": "Sun, 21 Dec 2008 17:20:30 GMT", "version": "v4" } ]

2014-11-18

[ [ "Zabzine", "Maxim", "" ] ]

These are the lecture notes from the 26th Winter School "Geometry and Physics", Czech Republic, Srni, January 14 - 21, 2006. These lectures are an introduction into the realm of generalized geometry based on the tangent plus the cotangent bundle. In particular we discuss the relation of this geometry to physics, namely to two-dimensional field theories. We explain in detail the relation between generalized complex geometry and supersymmetry. We briefly review the generalized Kahler and generalized Calabi-Yau manifolds and explain their appearance in physics.

6.653894

6.446688

7.447707

6.433074

7.423308

7.007164

7.638906

7.062421

6.555051

7.466753

6.193695

5.818424

6.020689

5.680649

5.779768

5.672702

5.655447

5.76706

5.559346

5.903528

5.283053

1611.01758

David A. Lowe

Rohitvarma Basavaraju and David A. Lowe

Black hole mining in the RST model

14 pages, 3 figures

null

10.1088/1361-6382/aa70aa

BROWN-HET-1677

hep-th gr-qc

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

We consider the possibility of mining black holes in the 1+1-dimensional dilaton gravity model of Russo, Susskind and Thorlacius. The model correctly incorporates Hawking radiation and back-reaction in a semiclassical expansion in 1/N, where N is the number of matter species. It is shown that the lifetime of a perturbed black hole is independent of the addition of any extra apparatus when realized by an arbitrary positive energy matter source. We conclude that mining does not occur in the RST model and comment on the implications of this for the black hole information paradox.

[ { "created": "Sun, 6 Nov 2016 11:12:10 GMT", "version": "v1" } ]

2017-06-21

[ [ "Basavaraju", "Rohitvarma", "" ], [ "Lowe", "David A.", "" ] ]

We consider the possibility of mining black holes in the 1+1-dimensional dilaton gravity model of Russo, Susskind and Thorlacius. The model correctly incorporates Hawking radiation and back-reaction in a semiclassical expansion in 1/N, where N is the number of matter species. It is shown that the lifetime of a perturbed black hole is independent of the addition of any extra apparatus when realized by an arbitrary positive energy matter source. We conclude that mining does not occur in the RST model and comment on the implications of this for the black hole information paradox.

8.881608

8.087654

8.865018

8.636754

8.839155

8.445398

8.210612

7.99053

7.902849

9.72744

8.506962

8.657022

8.561184

8.50335

8.340517

8.448898

8.482102

8.468989

8.682693

8.558147

8.57227

0911.3076

Pavel Putrov

Marcos Marino, Pavel Putrov

Multi-instantons in large N Matrix Quantum Mechanics

29 pages, 7 figures

null

hep-th

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

We calculate the multi-instanton corrections to the ground state energy in large $N$ Matrix Quantum Mechanics. We find that they can be obtained, through a non-perturbative difference equation, from the multi-instanton series in conventional Quantum Mechanics, as determined by the exact WKB method. We test our results by verifying that the one-instanton correction controls the large order behavior of the $1/N$ expansion in the quartic potential and in the $c=1$ string.

[ { "created": "Mon, 16 Nov 2009 17:00:49 GMT", "version": "v1" } ]

2009-11-17

[ [ "Marino", "Marcos", "" ], [ "Putrov", "Pavel", "" ] ]

We calculate the multi-instanton corrections to the ground state energy in large $N$ Matrix Quantum Mechanics. We find that they can be obtained, through a non-perturbative difference equation, from the multi-instanton series in conventional Quantum Mechanics, as determined by the exact WKB method. We test our results by verifying that the one-instanton correction controls the large order behavior of the $1/N$ expansion in the quartic potential and in the $c=1$ string.

7.940687

6.585316

10.475042

6.684467

6.506751

6.582454

6.281331

6.847052

6.751204

8.529818

6.682938

7.042187

8.772038

7.162645

7.254295

7.115222

7.173826

7.102867

7.285366

9.243209

6.938473

hep-th/9609128

Dirk Kreimer

D. J. Broadhurst, D. Kreimer

Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops

15 pages, Latex, figures using EPSF, replaced version has references and conclusions updated, Eq.(7) revised; as to appear in Phys.Lett.B

Phys.Lett. B393 (1997) 403-412

10.1016/S0370-2693(96)01623-1

UTAS-PHYS-96-44

hep-th hep-ph math.QA q-alg

null

It is found that the number, $M_n$, of irreducible multiple zeta values (MZVs) of weight $n$, is generated by $1-x^2-x^3=\prod_n (1-x^n)^{M_n}$. For $9\ge n\ge3$, $M_n$ enumerates positive knots with $n$ crossings. Positive knots to which field theory assigns knot-numbers that are not MZVs first appear at 10 crossings. We identify all the positive knots, up to 15 crossings, that are in correspondence with irreducible MZVs, by virtue of the connection between knots and numbers realized by Feynman diagrams with up to 9 loops.

[ { "created": "Mon, 16 Sep 1996 18:01:51 GMT", "version": "v1" }, { "created": "Thu, 14 Nov 1996 08:47:13 GMT", "version": "v2" }, { "created": "Mon, 18 Nov 1996 10:26:58 GMT", "version": "v3" } ]

2009-10-30

[ [ "Broadhurst", "D. J.", "" ], [ "Kreimer", "D.", "" ] ]

It is found that the number, $M_n$, of irreducible multiple zeta values (MZVs) of weight $n$, is generated by $1-x^2-x^3=\prod_n (1-x^n)^{M_n}$. For $9\ge n\ge3$, $M_n$ enumerates positive knots with $n$ crossings. Positive knots to which field theory assigns knot-numbers that are not MZVs first appear at 10 crossings. We identify all the positive knots, up to 15 crossings, that are in correspondence with irreducible MZVs, by virtue of the connection between knots and numbers realized by Feynman diagrams with up to 9 loops.

9.715901

9.998096

11.617987

9.251402

11.05418

9.508264

9.68163

9.736632

9.391111

10.91265

9.132238

9.592544

9.928688

9.189631

9.34411

9.504964

9.371697

9.425863

9.636018

10.084601

9.225548

hep-th/9607056

Hector DE Vega

H. J. de Vega and I. L. Egusquiza

Planetoid String Solutions in 3 + 1 Axisymmetric Spacetimes

Latex file, 14 pages, two figures in .ps files available from the authors

Phys.Rev. D54 (1996) 7513-7519

10.1103/PhysRevD.54.7513

LPTHE-Paris-96-24, EHU-FT/9601

hep-th gr-qc

null

The string propagation equations in axisymmetric spacetimes are exactly solved by quadratures for a planetoid Ansatz. This is a straight non-oscillating string, radially disposed, which rotates uniformly around the symmetry axis of the spacetime. In Schwarzschild black holes, the string stays outside the horizon pointing towards the origin. In de Sitter spacetime the planetoid rotates around its center. We quantize semiclassically these solutions and analyze the spin/(mass$^2$) (Regge) relation for the planetoids, which turns out to be non-linear.

[ { "created": "Sun, 7 Jul 1996 14:14:10 GMT", "version": "v1" } ]

2009-10-30

[ [ "de Vega", "H. J.", "" ], [ "Egusquiza", "I. L.", "" ] ]

The string propagation equations in axisymmetric spacetimes are exactly solved by quadratures for a planetoid Ansatz. This is a straight non-oscillating string, radially disposed, which rotates uniformly around the symmetry axis of the spacetime. In Schwarzschild black holes, the string stays outside the horizon pointing towards the origin. In de Sitter spacetime the planetoid rotates around its center. We quantize semiclassically these solutions and analyze the spin/(mass$^2$) (Regge) relation for the planetoids, which turns out to be non-linear.

17.982855

18.366547

16.343443

16.01248

17.454067

16.04331

16.726475

16.329777

16.185091

18.817101

15.021549

15.648115

16.60508

16.313717

16.360325

16.024334

16.528545

16.013601

16.261675

16.61602

15.208347

0903.5250

Paul Sutcliffe

Mike Gillard and Paul Sutcliffe

Domain Walls and Double Bubbles

16 pages, 6 figures

Proc. Roy. Soc. Lond. A465: 2911-2925, 2009.

10.1098/rspa.2009.0227

DCPT-09/19

hep-th

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

We study configurations of intersecting domain walls in a Wess-Zumino model with three vacua. We introduce a volume-preserving flow and show that its static solutions are configurations of intersecting domain walls that form double bubbles, that is, minimal area surfaces which enclose and separate two prescribed volumes. To illustrate this field theory approach to double bubbles, we use domain walls to reconstruct the phase diagram for double bubbles in the flat square two-torus and also construct all known examples of double bubbles in the flat cubic three-torus.

[ { "created": "Mon, 30 Mar 2009 15:37:36 GMT", "version": "v1" } ]

2015-05-13

[ [ "Gillard", "Mike", "" ], [ "Sutcliffe", "Paul", "" ] ]

We study configurations of intersecting domain walls in a Wess-Zumino model with three vacua. We introduce a volume-preserving flow and show that its static solutions are configurations of intersecting domain walls that form double bubbles, that is, minimal area surfaces which enclose and separate two prescribed volumes. To illustrate this field theory approach to double bubbles, we use domain walls to reconstruct the phase diagram for double bubbles in the flat square two-torus and also construct all known examples of double bubbles in the flat cubic three-torus.

12.773837

14.031172

13.137124

13.394739

14.542576

13.067664

14.225522

13.671614

13.534362

14.673443

13.077495

12.40701

13.24212

13.039652

12.838516

12.706144

12.136086

12.989044

13.517277

13.906415

12.637081

1004.4190

Thierry Masson

Bruno Iochum, Thierry Masson, Thomas Sch\"ucker and Andrzej Sitarz

Compact $\kappa$-deformation and spectral triples

30 pages

null

10.1016/S0034-4877(11)60026-8

null

hep-th math.OA

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

We construct discrete versions of $\kappa$-Minkowski space related to a certain compactness of the time coordinate. We show that these models fit into the framework of noncommutative geometry in the sense of spectral triples. The dynamical system of the underlying discrete groups (which include some Baumslag--Solitar groups) is heavily used in order to construct \emph{finitely summable} spectral triples. This allows to bypass an obstruction to finite-summability appearing when using the common regular representation. The dimension of these spectral triples is unrelated to the number of coordinates defining the $\kappa$-deformed Minkowski spaces.

[ { "created": "Fri, 23 Apr 2010 17:41:13 GMT", "version": "v1" }, { "created": "Tue, 29 Mar 2011 14:46:24 GMT", "version": "v2" } ]

2011-11-28

[ [ "Iochum", "Bruno", "" ], [ "Masson", "Thierry", "" ], [ "Schücker", "Thomas", "" ], [ "Sitarz", "Andrzej", "" ] ]

We construct discrete versions of $\kappa$-Minkowski space related to a certain compactness of the time coordinate. We show that these models fit into the framework of noncommutative geometry in the sense of spectral triples. The dynamical system of the underlying discrete groups (which include some Baumslag--Solitar groups) is heavily used in order to construct \emph{finitely summable} spectral triples. This allows to bypass an obstruction to finite-summability appearing when using the common regular representation. The dimension of these spectral triples is unrelated to the number of coordinates defining the $\kappa$-deformed Minkowski spaces.

9.906581

10.217227

11.231859

10.132265

9.847052

10.533538

10.795936

10.339906

10.077628

11.840164

10.086593

9.526825

9.760514

9.606262

9.594606

9.654942

9.584775

9.060365

9.340882

9.989782

9.216847

hep-th/0610242

Benoit Estienne

Vladimir S. Dotsenko (LPTHE), Benoit Estienne (LPTHE)

Renormalization group flows for $Z_5$ parafermionic field theory

null

Phys.Lett.B643:362-365,2006

10.1016/j.physletb.2006.11.025

null

hep-th cond-mat.stat-mech

null

Using the renormalization group approach, the Coulomb gas and the coset techniques, the effect of slightly relevant perturbations is studied for the second parafermionic field theory with the symmetry $Z\_{5}$. New fixed points are found and classified.

[ { "created": "Mon, 23 Oct 2006 13:25:40 GMT", "version": "v1" } ]

2008-11-26

[ [ "Dotsenko", "Vladimir S.", "", "LPTHE" ], [ "Estienne", "Benoit", "", "LPTHE" ] ]

Using the renormalization group approach, the Coulomb gas and the coset techniques, the effect of slightly relevant perturbations is studied for the second parafermionic field theory with the symmetry $Z\_{5}$. New fixed points are found and classified.

18.162607

10.261779

20.74485

11.638166

13.805072

13.573603

13.73528

10.293429

10.691504

19.25923

11.339331

14.172923

20.011482

14.692326

14.037174

14.884977

13.924227

13.548203

15.455721

19.189575

13.372275

hep-th/9708146

Norberto N. Scoccola

N.N. Scoccola and D.R. Bes

Baby skyrmions on the sphere

9 pages (cover and figs. included), Latex, 2 EPS-figs. included

JHEP 9809:012,1998

10.1088/1126-6708/1998/09/012

TAN-FNT-97-05

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

null

We study a model for two-dimensional skyrmions on a sphere of radius L. Such model simulates a skyrmion lattice of density W/(2 \pi L^2), where W is the skyrmion winding number. We show that, to a very good approximation, physical results depend only on the product \alpha L^4, where \alpha is the strength of potential term. In the range \alpha L^4 approx. or less than 3 the order parameter vanishes, there is a uniform distribution of the density over the whole surface and the energy of the W=2 sector lies above twice the energy of the W=1 sector. If \alpha L^4 approx. or greater than 6 the order parameter approaches unity and the density concentrates near one of the poles. Moreover the disoliton is always bound. We also present a variational solution to the field equations for which the pure \alpha L^4-dependence is exact. Finally, some consequences of our results for the Quantum Hall Effect are discussed.

[ { "created": "Wed, 27 Aug 1997 21:45:22 GMT", "version": "v1" } ]

2010-02-03

[ [ "Scoccola", "N. N.", "" ], [ "Bes", "D. R.", "" ] ]

We study a model for two-dimensional skyrmions on a sphere of radius L. Such model simulates a skyrmion lattice of density W/(2 \pi L^2), where W is the skyrmion winding number. We show that, to a very good approximation, physical results depend only on the product \alpha L^4, where \alpha is the strength of potential term. In the range \alpha L^4 approx. or less than 3 the order parameter vanishes, there is a uniform distribution of the density over the whole surface and the energy of the W=2 sector lies above twice the energy of the W=1 sector. If \alpha L^4 approx. or greater than 6 the order parameter approaches unity and the density concentrates near one of the poles. Moreover the disoliton is always bound. We also present a variational solution to the field equations for which the pure \alpha L^4-dependence is exact. Finally, some consequences of our results for the Quantum Hall Effect are discussed.

9.893427

10.171674

10.405719

10.423055

10.636502

11.048366

10.806904

10.748292

9.47489

10.669658

9.343966

9.756701

9.590615

9.566431

9.601222

9.684583

9.335953

9.426155

9.3445

9.555837

9.277944

hep-th/9403191

Niels Obers

I. Antoniadis and N.A. Obers

Plane Gravitational Waves in String Theory

27 pages, Latex, CPTH-A299.0494

Nucl.Phys. B423 (1994) 639-660

10.1016/0550-3213(94)90147-3

null

hep-th gr-qc

null

We analyze the coset model $(E_2^c \ti E_2^c)/E_2^c$ and construct a class of exact string vacua which describe plane gravitational waves and their duals, generalizing the plane wave background found by Nappi and Witten. In particular, the vector gauging describes a two-parameter family of singular geometries with two isometries, which is dual to plane gravitational waves. In addition, there is a mixed vector-axial gauging which describes a one-parameter family of plane waves with five isometries. These two backgrounds are related by a duality transformation which generalizes the known axial-vector duality for abelian subgroups.

[ { "created": "Thu, 31 Mar 1994 13:13:08 GMT", "version": "v1" } ]

2009-10-28

[ [ "Antoniadis", "I.", "" ], [ "Obers", "N. A.", "" ] ]

We analyze the coset model $(E_2^c \ti E_2^c)/E_2^c$ and construct a class of exact string vacua which describe plane gravitational waves and their duals, generalizing the plane wave background found by Nappi and Witten. In particular, the vector gauging describes a two-parameter family of singular geometries with two isometries, which is dual to plane gravitational waves. In addition, there is a mixed vector-axial gauging which describes a one-parameter family of plane waves with five isometries. These two backgrounds are related by a duality transformation which generalizes the known axial-vector duality for abelian subgroups.

9.204476

8.053101

10.209649

7.953281

8.845254

8.187475

7.916087

7.791243

8.271675

10.470952

7.870051

8.337762

8.868187

8.208632

8.053099

8.388687

8.196512

8.297636

8.141839

8.911024

8.186621

hep-th/0606181

Tim Morris

Stefano Arnone, Tim R. Morris and Oliver J. Rosten

Manifestly Gauge Invariant Exact Renormalization Group

24 pages, 14 figures, Fields Inst style file; Talk presented by TRM at RG2005, Helsinki, Finland, September 2005 and Renormalization and Universality in Mathematical Physics Workshop, Fields Institute, Toronto, Canada, October 2005, extended to include more details on the strong renormalized coupling expansion. To be publ. as proceedings by the Fields Institute

Fields Inst.Commun.50:1,2007

null

SHEP 06-23

hep-th

null

We construct a manifestly gauge invariant Exact Renormalization Group for SU(N) Yang-Mills theory, in a form suitable for calculations without gauge fixing at any order of perturbation theory. The effective cutoff is incorporated via a manifestly realised spontaneously broken SU(N|N) gauge invariance. Diagrammatic methods are developed which allow the calculations to proceed without specifying the precise form of the cutoff structure. We confirm consistency by computing for the first time both the one and two loop beta function coefficients without fixing the gauge or specifying the details of the cutoff. We sketch how to incorporate quarks and thus compute in QCD. Finally we analyse the renormalization group behaviour as the renormalized coupling becomes large, and show that confinement is a consequence if and only if the coupling diverges in the limit that all modes are integrated out. We also investigate an expansion in the inverse square renormalized coupling, and show that under general assumptions it yields a new non-perturbative approximation scheme corresponding to expanding in 1/\Lambda_{QCD}.

[ { "created": "Mon, 19 Jun 2006 20:11:16 GMT", "version": "v1" } ]

2009-02-10

[ [ "Arnone", "Stefano", "" ], [ "Morris", "Tim R.", "" ], [ "Rosten", "Oliver J.", "" ] ]

We construct a manifestly gauge invariant Exact Renormalization Group for SU(N) Yang-Mills theory, in a form suitable for calculations without gauge fixing at any order of perturbation theory. The effective cutoff is incorporated via a manifestly realised spontaneously broken SU(N|N) gauge invariance. Diagrammatic methods are developed which allow the calculations to proceed without specifying the precise form of the cutoff structure. We confirm consistency by computing for the first time both the one and two loop beta function coefficients without fixing the gauge or specifying the details of the cutoff. We sketch how to incorporate quarks and thus compute in QCD. Finally we analyse the renormalization group behaviour as the renormalized coupling becomes large, and show that confinement is a consequence if and only if the coupling diverges in the limit that all modes are integrated out. We also investigate an expansion in the inverse square renormalized coupling, and show that under general assumptions it yields a new non-perturbative approximation scheme corresponding to expanding in 1/\Lambda_{QCD}.

10.429134

10.269111

11.973634

10.41294

10.9366

10.828543

10.62114

10.079412

10.265455

12.936862

9.924834

10.406398

10.613106

10.092057

10.340458

10.237251

10.623153

10.130156

10.300102

10.656354

10.111812

1701.01400

Marcelo de Moura Leite

Paulo R. S. Carvalho and Marcelo M. Leite

Unconventional minimal subtraction and Bogoliubov-Parasyuk-Hepp-Zimmermann: massive scalar theory and critical exponents

Latex2e, 38 pages, 27 figures; matches published version with the Erratum included in the content of the text, one typo fixed in Eq. (44)

J. Math. Phys. 54, 093301 (2013); J. Math. Phys. 57, 119901 (2016)

10.1063/1.4968245

null

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

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

We introduce a simpler although unconventional minimal subtraction renormalization procedure in the case of a massive scalar $\lambda \phi^{4}$ theory in Euclidean space using dimensional regularization. We show that this method is very similar to its counterpart in massless field theory. In particular, the choice of using the bare mass at higher perturbative order instead of employing its tree-level counterpart eliminates all tadpole insertions at that order. As an application, we compute diagrammatically the critical exponents $\eta$ and $\nu$ at least up to two loops. We perform an explicit comparison with the Bogoliubov-Parasyuk-Hepp-Zimmermann ($BPHZ$) method at the same loop order, show that the proposed method requires fewer diagrams and establish a connection between the two approaches.

[ { "created": "Thu, 5 Jan 2017 17:55:49 GMT", "version": "v1" }, { "created": "Fri, 6 Jan 2017 03:03:54 GMT", "version": "v2" } ]

2017-01-11

[ [ "Carvalho", "Paulo R. S.", "" ], [ "Leite", "Marcelo M.", "" ] ]

We introduce a simpler although unconventional minimal subtraction renormalization procedure in the case of a massive scalar $\lambda \phi^{4}$ theory in Euclidean space using dimensional regularization. We show that this method is very similar to its counterpart in massless field theory. In particular, the choice of using the bare mass at higher perturbative order instead of employing its tree-level counterpart eliminates all tadpole insertions at that order. As an application, we compute diagrammatically the critical exponents $\eta$ and $\nu$ at least up to two loops. We perform an explicit comparison with the Bogoliubov-Parasyuk-Hepp-Zimmermann ($BPHZ$) method at the same loop order, show that the proposed method requires fewer diagrams and establish a connection between the two approaches.

9.826209

9.319079

10.497197

9.024029

9.668139

9.189368

9.994687

9.13821

9.000758

10.702116

8.723089

8.976994

9.532155

8.756023

9.238135

8.846699

8.810672

8.513679

8.918941

9.432106

8.939014

1711.09698

Abhishek Chowdhury

Andreas Banlaki, Abhishek Chowdhury, Abhiram Kidambi, Maria Schimpf, Harald Skarke, Timm Wrase

Calabi-Yau manifolds and sporadic groups

34 pages;v2 minor corrections

JHEP02(2018)129

10.1007/JHEP02(2018)129

null

hep-th

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

A few years ago a connection between the elliptic genus of the K3 manifold and the largest Mathieu group M$_{24}$ was proposed. We study the elliptic genera for Calabi-Yau manifolds of larger dimensions and discuss potential connections between the expansion coefficients of these elliptic genera and sporadic groups. While the Calabi-Yau 3-fold case is rather uninteresting, the elliptic genera of certain Calabi-Yau $d$-folds for $d>3$ have expansions that could potentially arise from underlying sporadic symmetry groups. We explore such potential connections by calculating twined elliptic genera for a large number of Calabi-Yau 5-folds that are hypersurfaces in weighted projected spaces, for a toroidal orbifold and two Gepner models.

[ { "created": "Mon, 27 Nov 2017 14:16:38 GMT", "version": "v1" }, { "created": "Thu, 1 Mar 2018 14:43:43 GMT", "version": "v2" } ]

2018-03-02

[ [ "Banlaki", "Andreas", "" ], [ "Chowdhury", "Abhishek", "" ], [ "Kidambi", "Abhiram", "" ], [ "Schimpf", "Maria", "" ], [ "Skarke", "Harald", "" ], [ "Wrase", "Timm", "" ] ]

A few years ago a connection between the elliptic genus of the K3 manifold and the largest Mathieu group M$_{24}$ was proposed. We study the elliptic genera for Calabi-Yau manifolds of larger dimensions and discuss potential connections between the expansion coefficients of these elliptic genera and sporadic groups. While the Calabi-Yau 3-fold case is rather uninteresting, the elliptic genera of certain Calabi-Yau $d$-folds for $d>3$ have expansions that could potentially arise from underlying sporadic symmetry groups. We explore such potential connections by calculating twined elliptic genera for a large number of Calabi-Yau 5-folds that are hypersurfaces in weighted projected spaces, for a toroidal orbifold and two Gepner models.

7.181284

7.029465

7.839993

6.434394

6.864914

6.838875

6.939454

6.528572

6.438438

9.031096

6.686311

6.757317

7.180617

6.715489

6.801133

6.621448

6.967981

6.722485

6.679402

6.903713

6.701636

0712.0627

Michael Kiermaier

Michael Kiermaier, Ashoke Sen, Barton Zwiebach

Linear b-Gauges for Open String Fields

LaTeX file, 50 pages

JHEP 0803:050,2008

10.1088/1126-6708/2008/03/050

MIT-CTP-3917

hep-th

null

Motivated by Schnabl's gauge choice, we explore open string perturbation theory in gauges where a linear combination of antighost oscillators annihilates the string field. We find that in these linear b-gauges different gauge conditions are needed at different ghost numbers. We derive the full propagator and prove the formal properties which guarantee that the Feynman diagrams reproduce the correct on-shell amplitudes. We find that these properties can fail due to the need to regularize the propagator, and identify a large class of linear b-gauges for which they hold rigorously. In these gauges the propagator has a non-anomalous Schwinger representation and builds Riemann surfaces by adding strip-like domains. Projector-based gauges, like Schnabl's, are not in this class of gauges but we construct a family of regular linear b-gauges which interpolate between Siegel gauge and Schnabl gauge.

[ { "created": "Wed, 5 Dec 2007 05:23:58 GMT", "version": "v1" } ]

2010-12-09

[ [ "Kiermaier", "Michael", "" ], [ "Sen", "Ashoke", "" ], [ "Zwiebach", "Barton", "" ] ]

Motivated by Schnabl's gauge choice, we explore open string perturbation theory in gauges where a linear combination of antighost oscillators annihilates the string field. We find that in these linear b-gauges different gauge conditions are needed at different ghost numbers. We derive the full propagator and prove the formal properties which guarantee that the Feynman diagrams reproduce the correct on-shell amplitudes. We find that these properties can fail due to the need to regularize the propagator, and identify a large class of linear b-gauges for which they hold rigorously. In these gauges the propagator has a non-anomalous Schwinger representation and builds Riemann surfaces by adding strip-like domains. Projector-based gauges, like Schnabl's, are not in this class of gauges but we construct a family of regular linear b-gauges which interpolate between Siegel gauge and Schnabl gauge.

9.3994

10.810345

10.300149

9.385872

10.6053

10.966584

10.640492

9.976768

10.216156

12.737397

10.145993

9.123718

9.526874

8.922791

9.496175

9.432144

9.389867

9.340655

9.078262

9.61657

9.667953

0810.3101

Mihail Mintchev

B. Bellazzini, M. Mintchev and P. Sorba

Quantum Fields on Star Graphs with Bound States at the Vertex

LaTex 1+29 pages, 2 figures: Expanded version with new title and abstract; clarifying comments, fig.2 and references added; final version to appear in J. Math. Phys

J.Math.Phys.51:032302,2010

10.1063/1.3318159

null

hep-th cond-mat.mes-hall cond-mat.str-el math-ph math.MP

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

We investigate the propagation of a massless scalar field on a star graph, modeling the junction of $n$ quantum wires. The vertex of the graph is represented by a point-like impurity (defect), characterized by a one-body scattering matrix. The general case of off-critical scattering matrix with bound and/or antibound states is considered. We demonstrate that the contribution of these states to the scalar field is fixed by causality (local commutativity), which is the key point of our investigation. Two different regimes of the theory emerge at this stage. If bound sates are absent, the energy is conserved and the theory admits unitary time evolution. The behavior changes if bound states are present, because each such state generates a kind of damped harmonic oscillator in the spectrum of the field. These oscillators lead to the breakdown of time translation invariance. We study in both regimes the electromagnetic conductance of the Luttinger liquid on the quantum wire junction. We derive an explicit expression for the conductance in terms of the scattering matrix and show that antibound and bound states have a different impact, giving raise to oscillations with exponentially damped and growing amplitudes respectively.

[ { "created": "Fri, 17 Oct 2008 09:25:45 GMT", "version": "v1" }, { "created": "Tue, 26 Jan 2010 11:20:31 GMT", "version": "v2" } ]

2011-04-07

[ [ "Bellazzini", "B.", "" ], [ "Mintchev", "M.", "" ], [ "Sorba", "P.", "" ] ]

We investigate the propagation of a massless scalar field on a star graph, modeling the junction of $n$ quantum wires. The vertex of the graph is represented by a point-like impurity (defect), characterized by a one-body scattering matrix. The general case of off-critical scattering matrix with bound and/or antibound states is considered. We demonstrate that the contribution of these states to the scalar field is fixed by causality (local commutativity), which is the key point of our investigation. Two different regimes of the theory emerge at this stage. If bound sates are absent, the energy is conserved and the theory admits unitary time evolution. The behavior changes if bound states are present, because each such state generates a kind of damped harmonic oscillator in the spectrum of the field. These oscillators lead to the breakdown of time translation invariance. We study in both regimes the electromagnetic conductance of the Luttinger liquid on the quantum wire junction. We derive an explicit expression for the conductance in terms of the scattering matrix and show that antibound and bound states have a different impact, giving raise to oscillations with exponentially damped and growing amplitudes respectively.

10.106236

10.489429

10.990479

9.977776

11.046851

10.516564

11.406288

10.319651

9.728588

11.290861

9.872277

9.806775

9.954665

9.91758

9.763406

10.068346

9.72423

9.669079

9.818916

10.471274

9.567821

1710.00356

Mikhail Plyushchay

Juan Mateos Guilarte and Mikhail S. Plyushchay

Perfectly invisible $\mathcal{PT}$-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry

33 pages; comments and refs added, version to appear in JHEP

JHEP 1712 (2017) 061

10.1007/JHEP12(2017)061

null

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

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

We investigate a special class of the $\mathcal{PT}$-symmetric quantum models being perfectly invisible zero-gap systems with a unique bound state at the very edge of continuous spectrum of scattering states. The family includes the $\mathcal{PT}$-regularized two particle Calogero systems (conformal quantum mechanics models of de Alfaro-Fubini-Furlan) and their rational extensions whose potentials satisfy equations of the KdV hierarchy and exhibit, particularly, a behaviour typical for extreme waves. We show that the two simplest Hamiltonians from the Calogero subfamily determine the fluctuation spectra around the $\mathcal{PT}$-regularized kinks arising as traveling waves in the field-theoretical Liouville and $SU(3)$ conformal Toda systems. Peculiar properties of the quantum systems are reflected in the associated exotic nonlinear supersymmetry in the unbroken or partially broken phases. The conventional $\mathcal{N}=2$ supersymmetry is extended here to the $\mathcal{N}=4$ nonlinear supersymmetry that involves two bosonic generators composed from Lax-Novikov integrals of the subsystems, one of which is the central charge of the superalgebra. Jordan states are shown to play an essential role in the construction.

[ { "created": "Sun, 1 Oct 2017 14:28:10 GMT", "version": "v1" }, { "created": "Mon, 4 Dec 2017 16:02:10 GMT", "version": "v2" } ]

2017-12-15

[ [ "Guilarte", "Juan Mateos", "" ], [ "Plyushchay", "Mikhail S.", "" ] ]

We investigate a special class of the $\mathcal{PT}$-symmetric quantum models being perfectly invisible zero-gap systems with a unique bound state at the very edge of continuous spectrum of scattering states. The family includes the $\mathcal{PT}$-regularized two particle Calogero systems (conformal quantum mechanics models of de Alfaro-Fubini-Furlan) and their rational extensions whose potentials satisfy equations of the KdV hierarchy and exhibit, particularly, a behaviour typical for extreme waves. We show that the two simplest Hamiltonians from the Calogero subfamily determine the fluctuation spectra around the $\mathcal{PT}$-regularized kinks arising as traveling waves in the field-theoretical Liouville and $SU(3)$ conformal Toda systems. Peculiar properties of the quantum systems are reflected in the associated exotic nonlinear supersymmetry in the unbroken or partially broken phases. The conventional $\mathcal{N}=2$ supersymmetry is extended here to the $\mathcal{N}=4$ nonlinear supersymmetry that involves two bosonic generators composed from Lax-Novikov integrals of the subsystems, one of which is the central charge of the superalgebra. Jordan states are shown to play an essential role in the construction.

9.741118

9.068986

13.631946

9.679319

9.577347

9.23116

9.521973

9.935227

9.566911

13.096974

9.558222

9.595483

10.864605

9.894382

9.516664

9.399743

9.882166

9.681568

10.005865

10.966509

9.673651

1411.3252

Madalena Lemos

Madalena Lemos and Wolfger Peelaers

Chiral Algebras for Trinion Theories

22 pages, v2: minor typos corrected

JHEP 1502 (2015) 113

10.1007/JHEP02(2015)113

YITP-SB-14-41

hep-th

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

It was recently understood that one can identify a chiral algebra in any four-dimensional N=2 superconformal theory. In this note, we conjecture the full set of generators of the chiral algebras associated with the T_n theories. The conjecture is motivated by making manifest the critical affine module structure in the graded partition function of the chiral algebras, which is computed by the Schur limit of the superconformal index for T_n theories. We also explicitly construct the chiral algebra arising from the T_4 theory. Its null relations give rise to new T_4 Higgs branch chiral ring relations.

[ { "created": "Wed, 12 Nov 2014 17:35:35 GMT", "version": "v1" }, { "created": "Thu, 15 Jan 2015 18:01:55 GMT", "version": "v2" } ]

2015-02-19

[ [ "Lemos", "Madalena", "" ], [ "Peelaers", "Wolfger", "" ] ]

It was recently understood that one can identify a chiral algebra in any four-dimensional N=2 superconformal theory. In this note, we conjecture the full set of generators of the chiral algebras associated with the T_n theories. The conjecture is motivated by making manifest the critical affine module structure in the graded partition function of the chiral algebras, which is computed by the Schur limit of the superconformal index for T_n theories. We also explicitly construct the chiral algebra arising from the T_4 theory. Its null relations give rise to new T_4 Higgs branch chiral ring relations.

7.334064

7.646874

8.802124

7.423466

7.650478

7.516111

7.553945

7.534295

7.395456

9.207716

6.979538

6.877461

8.005811

7.185297

6.971689

7.367591

7.217457

7.393136

7.055429

7.396521

6.795372

1809.10154

Suvrat Raju

A Toy Model of the Information Paradox in Empty Space

7 pages (v2) minor corrections (v3) textual improvements

SciPost Phys. 6, 073 (2019)

10.21468/SciPostPhys.6.6.073

null

hep-th gr-qc

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

A sharp version of the information paradox involves a seeming violation of the monogamy of entanglement during black hole evaporation. We construct an analogous paradox in empty anti-de Sitter space. In a local quantum field theory, Bell correlations between operators localized in mutually spacelike regions are monogamous. We show, through a controlled calculation, that this property can be violated by an order-1 factor in a theory of gravity. This example demonstrates that what appears to be a violation of the monogamy of entanglement may just be a subtle violation of locality in quantum gravity.

[ { "created": "Wed, 26 Sep 2018 18:00:04 GMT", "version": "v1" }, { "created": "Mon, 12 Nov 2018 11:20:55 GMT", "version": "v2" }, { "created": "Mon, 4 Mar 2019 04:25:29 GMT", "version": "v3" } ]

2019-11-27

[ [ "Raju", "Suvrat", "" ] ]

A sharp version of the information paradox involves a seeming violation of the monogamy of entanglement during black hole evaporation. We construct an analogous paradox in empty anti-de Sitter space. In a local quantum field theory, Bell correlations between operators localized in mutually spacelike regions are monogamous. We show, through a controlled calculation, that this property can be violated by an order-1 factor in a theory of gravity. This example demonstrates that what appears to be a violation of the monogamy of entanglement may just be a subtle violation of locality in quantum gravity.

9.551784

8.637802

10.09339

8.557657

8.965663

8.592893

9.164417

8.435697

8.402252

10.388409

8.423413

8.385373

8.530107

8.638309

8.294243

8.339211

8.253753

8.695982

8.500681

8.433656

8.533048

1504.01653

Sergey Solodukhin N.

Amin Faraji Astaneh and Sergey N. Solodukhin

The Wald entropy and 6d conformal anomaly

15 pages; v2: conformal invariance of s_3 clarified, version to appear in PLB

null

hep-th gr-qc

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

We analyze the Wald entropy for different forms of the conformal anomaly in six dimensions. In particular we focus on the anomaly which arises in a holographic calculation of Henningson and Skenderis. The various presentations of the anomaly differ by some total derivative terms. We calculate the corresponding Wald entropy for surfaces which do not have an Abelian $O(2)$ symmetry in the transverse direction although the extrinsic curvature vanishes. We demonstrate that for this class of surfaces the Wald entropy is different for different forms of the conformal anomaly. The difference is due to the total derivative terms which are present in the anomaly. We analyze the conformal invariance of the Wald entropy for the holographic conformal anomaly and demonstrate that the violation of the invariance is due to the contributions of the total derivative terms in the anomaly. Finally, we make more precise general form of the Hung-Myers-Smolkin discrepancy.

[ { "created": "Tue, 7 Apr 2015 16:08:57 GMT", "version": "v1" }, { "created": "Fri, 31 Jul 2015 11:08:25 GMT", "version": "v2" } ]

2015-08-03

[ [ "Astaneh", "Amin Faraji", "" ], [ "Solodukhin", "Sergey N.", "" ] ]

We analyze the Wald entropy for different forms of the conformal anomaly in six dimensions. In particular we focus on the anomaly which arises in a holographic calculation of Henningson and Skenderis. The various presentations of the anomaly differ by some total derivative terms. We calculate the corresponding Wald entropy for surfaces which do not have an Abelian $O(2)$ symmetry in the transverse direction although the extrinsic curvature vanishes. We demonstrate that for this class of surfaces the Wald entropy is different for different forms of the conformal anomaly. The difference is due to the total derivative terms which are present in the anomaly. We analyze the conformal invariance of the Wald entropy for the holographic conformal anomaly and demonstrate that the violation of the invariance is due to the contributions of the total derivative terms in the anomaly. Finally, we make more precise general form of the Hung-Myers-Smolkin discrepancy.

8.58208

8.491755

9.940798

8.426722

9.148943

9.12847

8.687222

8.493228

8.309571

9.008701

8.273049

7.887031

8.234981

8.030477

8.279959

8.052941

8.087928

8.065427

7.952549

8.546782

8.119839

1712.07076

Azat Gainutdinov

Azat M. Gainutdinov, Jesper L. Jacobsen, Hubert Saleur

A fusion for the periodic Temperley-Lieb algebra and its continuum limit

40pp, v2: Acknowledgments added, v3: typos fixed and few explanations added, for a version in JHEP

J. High Energ. Phys. (2018) 2018:117

10.1007/JHEP11(2018)117

ZMP-HH/18-1, Hamburger Beitrage zur Mathematik 717

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

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

The equivalent of fusion in boundary conformal field theory (CFT) can be realized quite simply in the context of lattice models by essentially glueing two open spin chains. This has led to many developments, in particular in the context of chiral logarithmic CFT. We consider in this paper a possible generalization of the idea to the case of bulk conformal field theory. This is of course considerably more difficult, since there is no obvious way of merging two closed spin chains into a big one. In an earlier paper, two of us had proposed a "topological" way of performing this operation in the case of models based on the affine Temperley-Lieb (ATL) algebra, by exploiting the associated braid group representation and skein relations. In the present work, we establish - using, in particular, Frobenius reciprocity - the resulting fusion rules for standard modules of ATL in the generic as well as partially degenerate cases. These fusion rules have a simple interpretation in the continuum limit. However, unlike in the chiral case this interpretation does not match the usual fusion in non-chiral CFTs. Rather, it corresponds to the glueing of the right moving component of one conformal field with the left moving component of the other.

[ { "created": "Tue, 19 Dec 2017 17:43:29 GMT", "version": "v1" }, { "created": "Tue, 28 Aug 2018 14:38:17 GMT", "version": "v2" }, { "created": "Mon, 10 Sep 2018 13:57:20 GMT", "version": "v3" } ]

2022-11-29

[ [ "Gainutdinov", "Azat M.", "" ], [ "Jacobsen", "Jesper L.", "" ], [ "Saleur", "Hubert", "" ] ]

The equivalent of fusion in boundary conformal field theory (CFT) can be realized quite simply in the context of lattice models by essentially glueing two open spin chains. This has led to many developments, in particular in the context of chiral logarithmic CFT. We consider in this paper a possible generalization of the idea to the case of bulk conformal field theory. This is of course considerably more difficult, since there is no obvious way of merging two closed spin chains into a big one. In an earlier paper, two of us had proposed a "topological" way of performing this operation in the case of models based on the affine Temperley-Lieb (ATL) algebra, by exploiting the associated braid group representation and skein relations. In the present work, we establish - using, in particular, Frobenius reciprocity - the resulting fusion rules for standard modules of ATL in the generic as well as partially degenerate cases. These fusion rules have a simple interpretation in the continuum limit. However, unlike in the chiral case this interpretation does not match the usual fusion in non-chiral CFTs. Rather, it corresponds to the glueing of the right moving component of one conformal field with the left moving component of the other.

8.742723

8.909021

8.995058

8.307937

8.196404

8.808554

8.995781

8.317575

8.662743

9.389487

8.41893

8.032491

8.423835

8.010139

8.056664

7.986942

8.049116

7.962454

8.070469

8.444009

7.976837

hep-th/9905174

Mark Van Raamsdonk

Igor Klebanov, Washington Taylor, and Mark Van Raamsdonk

Absorption of dilaton partial waves by D3-branes

24 pages, LaTeX

Nucl.Phys.B560:207-229,1999

10.1016/S0550-3213(99)00448-4

PUPT-1865, MIT-CTP-2866

hep-th

null

We calculate the leading term in the low-energy absorption cross section for an arbitrary partial wave of the dilaton field by a stack of many coincident D3-branes. We find that it precisely reproduces the semiclassical absorption cross section of a 3-brane geometry, including all numerical factors. The crucial ingredient in making the correspondence is the identification of the precise operators on the D3-brane world-volume which couple to the dilaton field and all its derivatives. The needed operators are related through T-duality and the IIA/M-theory correspondence to the recently determined M(atrix) theory expressions for multipole moments of the 11D supercurrent. These operators have a characteristic symmetrized trace structure which plays a key combinatorial role in the analysis for the higher partial waves. The results presented here give new evidence for an infinite family of non-renormalization theorems which are believed to exist for two-point functions in ${\cal N} = 4$ gauge theory in four dimensions.

[ { "created": "Mon, 24 May 1999 17:59:47 GMT", "version": "v1" } ]

2008-11-26

[ [ "Klebanov", "Igor", "" ], [ "Taylor", "Washington", "" ], [ "Van Raamsdonk", "Mark", "" ] ]

We calculate the leading term in the low-energy absorption cross section for an arbitrary partial wave of the dilaton field by a stack of many coincident D3-branes. We find that it precisely reproduces the semiclassical absorption cross section of a 3-brane geometry, including all numerical factors. The crucial ingredient in making the correspondence is the identification of the precise operators on the D3-brane world-volume which couple to the dilaton field and all its derivatives. The needed operators are related through T-duality and the IIA/M-theory correspondence to the recently determined M(atrix) theory expressions for multipole moments of the 11D supercurrent. These operators have a characteristic symmetrized trace structure which plays a key combinatorial role in the analysis for the higher partial waves. The results presented here give new evidence for an infinite family of non-renormalization theorems which are believed to exist for two-point functions in ${\cal N} = 4$ gauge theory in four dimensions.

9.714243

8.086987

10.960298

8.78762

9.069646

8.718868

8.55018

8.248846

8.686359

12.228341

8.41293

8.77736

9.646161

8.729815

8.691909

8.613564

8.786401

8.849788

8.902481

9.774725

8.857898

1910.03179

Oscar Fuentealba

Oscar Fuentealba, Javier Matulich, Ricardo Troncoso

Hypergravity in five dimensions

17 pages, no figures, minor changes, references added

Phys. Rev. D 101, 124002 (2020)

10.1103/PhysRevD.101.124002

CECS-PHY-18/04

hep-th gr-qc

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

We show that a spin-$5/2$ field can be consistently coupled to gravitation without cosmological constant in five-dimensional spacetimes. The fermionic gauge "hypersymmetry" requires the presence of a finite number of additional fields, including a couple of $U(1)$ fields, a spinorial two-form, the dual of the graviton (of mixed $(2,1)$ Young symmetry) and a spin-$3$ field. The gravitational sector of the action is described by the purely quadratic Gauss-Bonnet term, so that the field equations for the metric are of second order. The local gauge symmetries of the full action principle close without the need of auxiliary fields. The field content corresponds to the components of a connection for an extension of the "hyper-Poincar\'e" algebra, which apart from the Poincar\'e and spin-$3/2$ generators, includes a generator of spin $2$ and a $U(1)$ central extension. It is also shown that this algebra admits an invariant trilinear form, which allows to formulate hypergravity as a gauge theory described by a Chern-Simons action in five dimensions.

[ { "created": "Tue, 8 Oct 2019 02:37:17 GMT", "version": "v1" }, { "created": "Fri, 18 Oct 2019 13:28:39 GMT", "version": "v2" } ]

2020-07-01

[ [ "Fuentealba", "Oscar", "" ], [ "Matulich", "Javier", "" ], [ "Troncoso", "Ricardo", "" ] ]

We show that a spin-$5/2$ field can be consistently coupled to gravitation without cosmological constant in five-dimensional spacetimes. The fermionic gauge "hypersymmetry" requires the presence of a finite number of additional fields, including a couple of $U(1)$ fields, a spinorial two-form, the dual of the graviton (of mixed $(2,1)$ Young symmetry) and a spin-$3$ field. The gravitational sector of the action is described by the purely quadratic Gauss-Bonnet term, so that the field equations for the metric are of second order. The local gauge symmetries of the full action principle close without the need of auxiliary fields. The field content corresponds to the components of a connection for an extension of the "hyper-Poincar\'e" algebra, which apart from the Poincar\'e and spin-$3/2$ generators, includes a generator of spin $2$ and a $U(1)$ central extension. It is also shown that this algebra admits an invariant trilinear form, which allows to formulate hypergravity as a gauge theory described by a Chern-Simons action in five dimensions.

7.959785

8.057616

8.521694

7.256526

7.84386

7.744924

7.748699

7.103509

7.464995

9.234387

7.19168

7.84015

8.012022

7.490312

7.589479

7.464438

7.473652

7.708081

7.673872

7.978307

7.531199

1608.07275

{\DJ}or{\dj}e Radi\v{c}evi\'c

Djordje Radicevic

Quantum Mechanics in the Infrared

23 pages, 8 figures, v2: typo fixed

null

hep-th hep-lat nlin.CD quant-ph

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

This paper presents an algebraic formulation of the renormalization group flow in quantum mechanics on flat target spaces. For any interacting quantum mechanical theory, the fixed point of this flow is a theory of classical probability, not a different effective quantum mechanics. Each energy eigenstate of the UV Hamiltonian flows to a probability distribution whose entropy is a natural diagnostic of quantum ergodicity of the original state. These conclusions are supported by various examples worked out in some detail.

[ { "created": "Thu, 25 Aug 2016 19:56:07 GMT", "version": "v1" }, { "created": "Sat, 27 Aug 2016 17:17:58 GMT", "version": "v2" } ]

2016-08-30

[ [ "Radicevic", "Djordje", "" ] ]

This paper presents an algebraic formulation of the renormalization group flow in quantum mechanics on flat target spaces. For any interacting quantum mechanical theory, the fixed point of this flow is a theory of classical probability, not a different effective quantum mechanics. Each energy eigenstate of the UV Hamiltonian flows to a probability distribution whose entropy is a natural diagnostic of quantum ergodicity of the original state. These conclusions are supported by various examples worked out in some detail.

15.793206

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16.606258

14.279014

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14.754647

14.240317

15.531746

14.114007

hep-th/9711096

Poul Henrik Damgaard

Poul H. Damgaard, Shinsuke M. Nishigaki

Universal Massive Spectral Correlators and QCD_3

5 pages, REVTeX. Misprint corrected

Phys.Rev. D57 (1998) 5299-5302

10.1103/PhysRevD.57.5299

NSF-ITP-97-140, NBI-HE-97-59

hep-th

null

Based on random matrix theory in the unitary ensemble, we derive the double-microscopic massive spectral correlators corresponding to the Dirac operator of QCD_3 with an even number of fermions N_f. We prove that these spectral correlators are universal, and demonstrate that they satisfy exact massive spectral sum rules of QCD_3 in a phase where flavor symmetries are spontaneously broken according to U(N_f) -> U(N_f/2) x U(N_f/2).

[ { "created": "Thu, 13 Nov 1997 15:29:53 GMT", "version": "v1" }, { "created": "Mon, 9 Feb 1998 08:42:54 GMT", "version": "v2" } ]

2009-10-30

[ [ "Damgaard", "Poul H.", "" ], [ "Nishigaki", "Shinsuke M.", "" ] ]

Based on random matrix theory in the unitary ensemble, we derive the double-microscopic massive spectral correlators corresponding to the Dirac operator of QCD_3 with an even number of fermions N_f. We prove that these spectral correlators are universal, and demonstrate that they satisfy exact massive spectral sum rules of QCD_3 in a phase where flavor symmetries are spontaneously broken according to U(N_f) -> U(N_f/2) x U(N_f/2).

10.299731

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9.336376

8.601951

8.661747

8.267432

8.167685

8.511833

8.606308

9.752659

8.366133

hep-th/0008229

Esposito Giampiero

Giampiero Esposito

On the occurrence of mass in field theory

37 pages, plain Tex. Equation (4.8) has been amended. Addendum arXiv:hep-ph/0701013

Found.Phys.32:1459-1483,2002

10.1023/A:1020363907605 10.1023/B:FOOP.0000012013.82420.12

DSF preprint 2000/27

hep-th

null

This paper proves that it is possible to build a Lagrangian for quantum electrodynamics which makes it explicit that the photon mass is eventually set to zero in the physical part on observational ground. Gauge independence is achieved upon considering the joint effect of gauge-averaging term and ghost fields. It remains possible to obtain a counterterm Lagrangian where the only non-gauge-invariant term is proportional to the squared divergence of the potential, while the photon propagator in momentum space falls off like 1 over (k-squared) at large k, which indeed agrees with perturbative renormalizability. The resulting radiative corrections to the Coulomb potential in QED are also shown to be gauge-independent. The experience acquired with quantum electrodynamics is used to investigate properties and problems of the extension of such ideas to non-Abelian gauge theories.

[ { "created": "Wed, 30 Aug 2000 09:24:48 GMT", "version": "v1" }, { "created": "Thu, 4 Jan 2001 11:47:34 GMT", "version": "v2" }, { "created": "Wed, 25 Apr 2001 16:59:28 GMT", "version": "v3" }, { "created": "Tue, 25 Sep 2001 17:16:17 GMT", "version": "v4" }, { "created": "Wed, 31 Oct 2001 18:36:17 GMT", "version": "v5" }, { "created": "Wed, 5 Dec 2001 15:30:14 GMT", "version": "v6" }, { "created": "Wed, 2 Jan 2002 18:06:08 GMT", "version": "v7" }, { "created": "Tue, 11 Jun 2002 06:27:51 GMT", "version": "v8" }, { "created": "Wed, 21 May 2003 12:33:44 GMT", "version": "v9" } ]

2015-11-18

[ [ "Esposito", "Giampiero", "" ] ]

This paper proves that it is possible to build a Lagrangian for quantum electrodynamics which makes it explicit that the photon mass is eventually set to zero in the physical part on observational ground. Gauge independence is achieved upon considering the joint effect of gauge-averaging term and ghost fields. It remains possible to obtain a counterterm Lagrangian where the only non-gauge-invariant term is proportional to the squared divergence of the potential, while the photon propagator in momentum space falls off like 1 over (k-squared) at large k, which indeed agrees with perturbative renormalizability. The resulting radiative corrections to the Coulomb potential in QED are also shown to be gauge-independent. The experience acquired with quantum electrodynamics is used to investigate properties and problems of the extension of such ideas to non-Abelian gauge theories.

13.241505

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13.238072

12.773583

12.949385

13.240153

13.153108

12.7247

12.957124

12.974188

13.04826

hep-th/0409262

George Siopsis

Perturbative calculation of quasi-normal modes

7 pages, presented at PASCOS 2004 / Nath Fest

null

10.1142/9789812701756_0069

UTHET-04-0901

hep-th

null

I discuss a systematic method of analytically calculating the asymptotic form of quasi-normal frequencies. In the case of a four-dimensional Schwarzschild black hole, I expand around the zeroth-order approximation to the wave equation proposed by Motl and Neitzke. In the case of a five-dimensional AdS black hole, I discuss a perturbative solution of the Heun equation. The analytical results are in agreement with the results from numerical analysis.

[ { "created": "Fri, 24 Sep 2004 20:16:19 GMT", "version": "v1" } ]

2015-06-26

[ [ "Siopsis", "George", "" ] ]

I discuss a systematic method of analytically calculating the asymptotic form of quasi-normal frequencies. In the case of a four-dimensional Schwarzschild black hole, I expand around the zeroth-order approximation to the wave equation proposed by Motl and Neitzke. In the case of a five-dimensional AdS black hole, I discuss a perturbative solution of the Heun equation. The analytical results are in agreement with the results from numerical analysis.

7.553695

6.028293

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6.048456

6.957615

5.840754

6.066658

6.008074

6.206959

6.965892

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6.691217

6.765022

6.404975

6.601683

6.586318

6.359349

6.499173

6.503028

6.845476

6.462076

2202.10637

Taejin Lee

BRST Ghost-Vertex Operator in Witten's Cubic Open String Field Theory on Multiple $Dp$-branes

23 pages, 1 figure, new references are added. Some typos are corrected

null

10.1016/j.nuclphysb.2022.115901

null

hep-th

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

The Becchi-Rouet-Stora-Tyutin (BRST) ghost field is a key element in constructing Witten's cubic open string field theory. However, to date, the ghost sector of the string field theory has not received a great deal of attention. In this study, we address the BRST ghost on multiple $Dp$-branes, which carries non-Abelian indices and couples to a non-Ablelian gauge field. We found that the massless components of the BRST ghost field can play the role of the Faddeev-Popov ghost in the non-Alelian gauge field, such that the string field theory maintains the local non-Abelian gauge invariance.

[ { "created": "Tue, 22 Feb 2022 02:50:23 GMT", "version": "v1" }, { "created": "Wed, 18 May 2022 05:07:15 GMT", "version": "v2" }, { "created": "Mon, 20 Jun 2022 03:51:31 GMT", "version": "v3" } ]

2022-08-10

[ [ "Lee", "Taejin", "" ] ]

The Becchi-Rouet-Stora-Tyutin (BRST) ghost field is a key element in constructing Witten's cubic open string field theory. However, to date, the ghost sector of the string field theory has not received a great deal of attention. In this study, we address the BRST ghost on multiple $Dp$-branes, which carries non-Abelian indices and couples to a non-Ablelian gauge field. We found that the massless components of the BRST ghost field can play the role of the Faddeev-Popov ghost in the non-Alelian gauge field, such that the string field theory maintains the local non-Abelian gauge invariance.

7.022973

6.631051

6.929361

6.379419

6.52269

6.889636

6.334594

6.308999

6.617846

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6.385935

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6.406631

6.547455

6.405769

6.3877

6.472945

6.759533

6.597323

6.648739

6.305908

hep-th/0510259

Jorge Bellor\'in

J. Bellorin and A. Restuccia

D=11 Supermembrane wrapped on calibrated submanifolds

24 pages

Nucl.Phys.B737:190-208,2006

10.1016/j.nuclphysb.2006.01.004

null

hep-th

null

We construct the Hamiltonian of the D=11 Supermembrane with topological conditions on configuration space. It may be interpreted as a supermembrane theory where all configurations are wrapped in an irreducible way on a calibrated submanifold of a compact sector of the target space. We prove that the spectrum of its Hamiltonian is discrete with finite multiplicity. The construction is explicitly perfomed for a compact sector of the target space being a $2g$ dimensional flat torus and the base manifold of the Supermembrane a genus $g$ compact Riemann surface. The topological conditions on configuration space work in such a way that the $g=2$ case may be interpreted as the intersection of two D=11 Supermembranes over $g=1$ surfaces, with their corresponding topological conditions. The discreteness of the spectrum is preserved by the intersection procedure. Between the configurations satisfying the topological conditions there are minimal configurations which describe minimal immersions from the base manifold to the compact sector of the target space. They allow to map the D=11 Supermembrane with topological conditions to a symplectic noncommutative Yang-Mills theory. We analyze geometrical properties of these configurations in the context of Supermembranes and D-branes theories. We show that this class of configurations also minimizes the Hamiltonian of D-branes theories.

[ { "created": "Sun, 30 Oct 2005 15:49:31 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bellorin", "J.", "" ], [ "Restuccia", "A.", "" ] ]

We construct the Hamiltonian of the D=11 Supermembrane with topological conditions on configuration space. It may be interpreted as a supermembrane theory where all configurations are wrapped in an irreducible way on a calibrated submanifold of a compact sector of the target space. We prove that the spectrum of its Hamiltonian is discrete with finite multiplicity. The construction is explicitly perfomed for a compact sector of the target space being a $2g$ dimensional flat torus and the base manifold of the Supermembrane a genus $g$ compact Riemann surface. The topological conditions on configuration space work in such a way that the $g=2$ case may be interpreted as the intersection of two D=11 Supermembranes over $g=1$ surfaces, with their corresponding topological conditions. The discreteness of the spectrum is preserved by the intersection procedure. Between the configurations satisfying the topological conditions there are minimal configurations which describe minimal immersions from the base manifold to the compact sector of the target space. They allow to map the D=11 Supermembrane with topological conditions to a symplectic noncommutative Yang-Mills theory. We analyze geometrical properties of these configurations in the context of Supermembranes and D-branes theories. We show that this class of configurations also minimizes the Hamiltonian of D-branes theories.

8.589067

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8.51921

8.022064

8.318624

8.422304

8.118309

1211.5637

Motomu Tsuda

Kazunari Shima, Motomu Tsuda and Takeshi Okano

Chiral Symmetry

7 pages, some arguments revised, conclusions unchanged

null

hep-th hep-ph

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

The exact classical solution of the equation of the motion for the Nambu-Goldstone fermion of the nonlinear representation of supersymmetry and its physical significance are discussed, which gives a new insight into the chiral symmetry of the standard model for the low energy particle physics.

[ { "created": "Sat, 24 Nov 2012 02:33:38 GMT", "version": "v1" }, { "created": "Sun, 17 Feb 2013 06:03:55 GMT", "version": "v2" }, { "created": "Mon, 22 Apr 2013 07:56:22 GMT", "version": "v3" } ]

2013-04-23

[ [ "Shima", "Kazunari", "" ], [ "Tsuda", "Motomu", "" ], [ "Okano", "Takeshi", "" ] ]

The exact classical solution of the equation of the motion for the Nambu-Goldstone fermion of the nonlinear representation of supersymmetry and its physical significance are discussed, which gives a new insight into the chiral symmetry of the standard model for the low energy particle physics.

13.095925

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10.512239

9.854706

10.667796

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10.431606

9.941366

10.335244

10.254776

hep-th/9612050

Todd Fugleberg

T. Fugleberg and A. Zhitnitsky

Large Order Behavior of Quasiclassical Euclidean Gravity in Minisuperspace Models

10 pages, Latex

Phys.Lett. B423 (1998) 219-224

10.1016/S0370-2693(98)00120-8

null

hep-th gr-qc hep-ph

null

We demonstrate in two minisuperspace models that a perturbation expansion of quasiclassical Euclidean gravity has a factorial dependence on the order of the term at large orders. This behavior indicates that the expansion is an asymptotic series which is suggestive of an effective field theory. The series may or may not be Borel summable depending on the classical solution expanded around. We assume that only the positive action classical solution contributes to path integrals. We close with some speculative discussion on possible implications of the asymptotic nature of the expansion.

[ { "created": "Wed, 4 Dec 1996 21:34:40 GMT", "version": "v1" } ]

2009-10-30

[ [ "Fugleberg", "T.", "" ], [ "Zhitnitsky", "A.", "" ] ]

We demonstrate in two minisuperspace models that a perturbation expansion of quasiclassical Euclidean gravity has a factorial dependence on the order of the term at large orders. This behavior indicates that the expansion is an asymptotic series which is suggestive of an effective field theory. The series may or may not be Borel summable depending on the classical solution expanded around. We assume that only the positive action classical solution contributes to path integrals. We close with some speculative discussion on possible implications of the asymptotic nature of the expansion.

11.204728

10.858381

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11.410893

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10.745681

9.94815

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10.264289

10.337663

10.476026

11.054476

11.187681

11.070472

10.497448

10.387081

10.29448

2207.01641

Vladimir Rosenhaus

Maurizio Firrotta and Vladimir Rosenhaus

Photon emission from an excited string

32 pages, v2: typos fixed

null

10.1007/JHEP09(2022)211

null

hep-th

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

We compute the amplitude for an excited string in any precisely specified state to decay into another excited string in any precisely specified state, via emission of a tachyon or photon. For generic and highly excited string states, the amplitude is a complicated function of the outgoing kinematic angle, sensitive to the precise state. We compute the square of this amplitude, averaged over polarizations of the ingoing string and summed over polarizations of the outgoing string. The seeming intractability of these calculations is made possible by extracting amplitudes involving excited strings from amplitudes involving tachyons and a large number of photons; the number of photons grows with the complexity of the excited string state. Our work is in the spirit of the broad range of recent studies of statistical mechanics and chaos for quantum many-body systems. The number of different excited string states at a given mass is exponentially large, and our calculation gives the emission amplitude of a single photon from each of the microstates -- which, through the Horowitz-Polchinski correspondence principle, are in correspondence with black hole microstates.

[ { "created": "Mon, 4 Jul 2022 18:00:06 GMT", "version": "v1" }, { "created": "Fri, 23 Sep 2022 14:24:45 GMT", "version": "v2" } ]

2022-10-19

[ [ "Firrotta", "Maurizio", "" ], [ "Rosenhaus", "Vladimir", "" ] ]

We compute the amplitude for an excited string in any precisely specified state to decay into another excited string in any precisely specified state, via emission of a tachyon or photon. For generic and highly excited string states, the amplitude is a complicated function of the outgoing kinematic angle, sensitive to the precise state. We compute the square of this amplitude, averaged over polarizations of the ingoing string and summed over polarizations of the outgoing string. The seeming intractability of these calculations is made possible by extracting amplitudes involving excited strings from amplitudes involving tachyons and a large number of photons; the number of photons grows with the complexity of the excited string state. Our work is in the spirit of the broad range of recent studies of statistical mechanics and chaos for quantum many-body systems. The number of different excited string states at a given mass is exponentially large, and our calculation gives the emission amplitude of a single photon from each of the microstates -- which, through the Horowitz-Polchinski correspondence principle, are in correspondence with black hole microstates.

10.00135

10.434728

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9.52353

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9.976967

9.570421

hep-th/0101214

Gianguido Dall'Agata

A. Ceresole and G. Dall'Agata

Brane-worlds in 5d supergravity

8 pages. LaTeX. Proceedings of the talks given by G. Dall'Agata at the Supersymmetry and Quantum Field Theory Conference, Kharkov, 25-29 July 2000 and at the European RTN Network conference, Berlin, 4-10 October 2000

Fortsch.Phys. 49 (2001) 449-454

10.1002/1521-3978(200105)49:4/6<449::AID-PROP449>3.0.CO;2-2

HU-EP-00/57

hep-th

null

We summarise the present status of supersymmetric Randall-Sundrum brane-world scenarios and report on their possible realisation within five-dimensional matter coupled N=2 gauged supergravity.

[ { "created": "Tue, 30 Jan 2001 15:17:03 GMT", "version": "v1" } ]

2015-06-25

[ [ "Ceresole", "A.", "" ], [ "Dall'Agata", "G.", "" ] ]

We summarise the present status of supersymmetric Randall-Sundrum brane-world scenarios and report on their possible realisation within five-dimensional matter coupled N=2 gauged supergravity.

13.576955

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8.394427

hep-th/9312022

Put

Zbigniew Oziewicz, Eugen Paal and Jerzy R\'o\.za\'nski

Coalgebras, Cocompositions and Cohomology

9 pages

null

ITP UWr 859/93

hep-th math.QA

null

The (co)homology theory of n-ary (co)compositions is a functor associating to $n$-ary (co)composition a complex. We present unified approach to the cohomology theory of coassociative and Lie coalgebras and for $2n$-ary cocompositions. This approach points to a possible generalization.

[ { "created": "Fri, 3 Dec 1993 07:58:05 GMT", "version": "v1" } ]

2008-02-03

[ [ "Oziewicz", "Zbigniew", "" ], [ "Paal", "Eugen", "" ], [ "Różański", "Jerzy", "" ] ]

The (co)homology theory of n-ary (co)compositions is a functor associating to $n$-ary (co)composition a complex. We present unified approach to the cohomology theory of coassociative and Lie coalgebras and for $2n$-ary cocompositions. This approach points to a possible generalization.

12.451844

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13.53046

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15.023376

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13.705999

13.00175

16.080893

11.67849

11.814724

13.084624

12.886939

12.319828

12.623464

12.120082

11.608941

12.185034

12.342594

11.835985

2404.03466

Alessandro Pini

Alessandro Pini, Paolo Vallarino

Integrated correlators at strong coupling in an orbifold of $\mathcal{N}=4$ SYM

null

10.1007/JHEP06(2024)170

HU-EP-24/11

hep-th

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

We consider the $4d$ $\mathcal{N}=2$ superconformal quiver gauge theory obtained by a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ super Yang-Mills (SYM). By exploiting supersymmetric localization, we study the integrated correlator of two Coulomb branch and two moment map operators and the integrated correlator of four moment map operators, determining exact expressions valid for any value of the 't Hooft coupling in the planar limit. Additionally, for the second correlator, we obtain an exact expression also for the next-to-planar contribution. Then, we derive the leading terms of their strong-coupling expansions and outline the differences with respect to the $\mathcal{N}=4$ SYM theory.

[ { "created": "Thu, 4 Apr 2024 14:21:35 GMT", "version": "v1" }, { "created": "Wed, 26 Jun 2024 12:52:46 GMT", "version": "v2" } ]

2024-06-27

[ [ "Pini", "Alessandro", "" ], [ "Vallarino", "Paolo", "" ] ]

We consider the $4d$ $\mathcal{N}=2$ superconformal quiver gauge theory obtained by a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ super Yang-Mills (SYM). By exploiting supersymmetric localization, we study the integrated correlator of two Coulomb branch and two moment map operators and the integrated correlator of four moment map operators, determining exact expressions valid for any value of the 't Hooft coupling in the planar limit. Additionally, for the second correlator, we obtain an exact expression also for the next-to-planar contribution. Then, we derive the leading terms of their strong-coupling expansions and outline the differences with respect to the $\mathcal{N}=4$ SYM theory.

4.591888

3.877614

5.4272

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4.79126

4.423819

4.395404

4.311936

4.282104

4.356423

4.334049

4.829527

4.320269

1206.4061

S\'ebastien Leurent

Sebastien Leurent

Integrable systems and AdS/CFT duality

PhD thesis : 275 pages, including 10 introductory pages in french at the begining (repeated afterwards in english) v2 : typos fixed and five references added

null

hep-th

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

This PhD thesis explores the similarities between integrable spin chains and quantum field theories, such as Super Yang Mills. We first study integrable spin chains and build explicitly a polynomial "Backlund flow" and polynomial "Q-operators", which allow to diagonalize the Hamiltonian. We then study integrable field theories et show how to obtain "Q-functions", analogous to the Q-operators built for spin chains. It turns out that several important informations are contained in the analytic properties of these Q -functions. That allows to obtain, in the framework of the thermodynamic Bethe ansatz, a finite number of non-linear integral equations encoding the finite-size spectrum of the theory which we study. This system of equations is equivalent to an infinite system of equations, known as "Y-system", which had been quite recently conjectured in the case of the AdS/CFT duality.

[ { "created": "Mon, 18 Jun 2012 20:03:30 GMT", "version": "v1" }, { "created": "Fri, 7 Dec 2012 11:42:26 GMT", "version": "v2" } ]

2015-03-20

[ [ "Leurent", "Sebastien", "" ] ]

This PhD thesis explores the similarities between integrable spin chains and quantum field theories, such as Super Yang Mills. We first study integrable spin chains and build explicitly a polynomial "Backlund flow" and polynomial "Q-operators", which allow to diagonalize the Hamiltonian. We then study integrable field theories et show how to obtain "Q-functions", analogous to the Q-operators built for spin chains. It turns out that several important informations are contained in the analytic properties of these Q -functions. That allows to obtain, in the framework of the thermodynamic Bethe ansatz, a finite number of non-linear integral equations encoding the finite-size spectrum of the theory which we study. This system of equations is equivalent to an infinite system of equations, known as "Y-system", which had been quite recently conjectured in the case of the AdS/CFT duality.

9.60037

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9.421365

10.046816

9.336267

hep-th/0207149

Peter Stichel

J. Lukierski, P.C. Stichel, W.J. Zakrzewski

Noncommutative Planar Particle Dynamics with Gauge Interactions

24 pages - version to be published in Annals of Physics

Annals Phys. 306 (2003) 78-95

10.1016/S0003-4916(03)00010-1

null

hep-th

null

We consider two ways of introducing minimal Abelian gauge interactions into the model presented in [1]. They are different only if the second central charge of the planar Galilei group is nonzero. One way leads to standard gauge transformations and second to a generalized gauge theory with gauge transformations accompanied by time-dependent area-preserving coordinate transformations. Both approaches, however, are related to each other by a classical Seiberg-Witten map supplemented by the noncanonical transformation of the phase space variables for planar particles. We also formulate the two-body problem in the model with a generalized gauge symmetry and consider the case with both CS and background electromagnetic fields, as it is used in the description of fractional quantum Hall effect.

[ { "created": "Tue, 16 Jul 2002 10:25:57 GMT", "version": "v1" }, { "created": "Thu, 9 Jan 2003 10:11:20 GMT", "version": "v2" } ]

2009-11-07

[ [ "Lukierski", "J.", "" ], [ "Stichel", "P. C.", "" ], [ "Zakrzewski", "W. J.", "" ] ]

We consider two ways of introducing minimal Abelian gauge interactions into the model presented in [1]. They are different only if the second central charge of the planar Galilei group is nonzero. One way leads to standard gauge transformations and second to a generalized gauge theory with gauge transformations accompanied by time-dependent area-preserving coordinate transformations. Both approaches, however, are related to each other by a classical Seiberg-Witten map supplemented by the noncanonical transformation of the phase space variables for planar particles. We also formulate the two-body problem in the model with a generalized gauge symmetry and consider the case with both CS and background electromagnetic fields, as it is used in the description of fractional quantum Hall effect.

16.624765

14.824182

16.314646

14.969564

15.373069

16.12697

14.057172

13.855829

14.336998

17.96464

14.129579

14.193503

15.96803

15.496222

14.996343

14.978991

15.485915

14.791789

15.16061

16.868488

15.310725

hep-th/0205098

Joseph A. Minahan

Rolling the tachyon in super BSFT

8 pages LaTeX; v2, references added

JHEP 0207 (2002) 030

10.1088/1126-6708/2002/07/030

UUITP-04/02

hep-th

null

We investigate the rolling of the tachyon on the unstable D9 brane in Type IIA string theory by studying the BSFT action. The action is known for linear profiles of the tachyon, which is the expected asymptotic behavior of the tachyon as it approaches the closed string vacuum, as recently described by Sen. We find that the action does indeed seem consistent with the general Sen description, in that it implies a constant energy density with diminishing pressure. However, the details are somewhat different from an effective field theory of Born-Infeld type. For instance, the BSFT action implies there are poles for certain rolling velocities, while a Born-Infeld action would have a cut. We also find that solutions with pressure diminishing from either the positive or negative side are possible.

[ { "created": "Fri, 10 May 2002 14:06:59 GMT", "version": "v1" }, { "created": "Tue, 14 May 2002 12:10:31 GMT", "version": "v2" } ]

2009-11-07

[ [ "Minahan", "Joseph A.", "" ] ]

We investigate the rolling of the tachyon on the unstable D9 brane in Type IIA string theory by studying the BSFT action. The action is known for linear profiles of the tachyon, which is the expected asymptotic behavior of the tachyon as it approaches the closed string vacuum, as recently described by Sen. We find that the action does indeed seem consistent with the general Sen description, in that it implies a constant energy density with diminishing pressure. However, the details are somewhat different from an effective field theory of Born-Infeld type. For instance, the BSFT action implies there are poles for certain rolling velocities, while a Born-Infeld action would have a cut. We also find that solutions with pressure diminishing from either the positive or negative side are possible.

10.930923

11.333322

11.523624

10.808115

11.282941

10.788668

10.890434

10.645625

10.08634

12.70015

10.331387

9.982644

11.273084

10.390615

10.050146

10.452771

9.972401

10.312733

10.367471

11.537567

9.984482

hep-th/0112175

Robert Marnelius

Igor Batalin, Simon Lyakhovich, and Robert Marnelius

Projection operator approach to general constrained systems

12 pages, Latexfile,minor misprints corrected

Phys.Lett. B534 (2002) 201-208

10.1016/S0370-2693(02)01590-3

null

hep-th

null

We propose a new BRST-like quantization procedure which is applicable to dynamical systems containing both first and second class constraints. It requires no explicit separation into first and second class constraints and therefore no conversion of second class constraints is needed. The basic ingredient is instead an invariant projection operator which projects out the maximal subset of constraints in involution. The hope is that the method will enable a covariant quantization of models for which there is no covariant separation into first and second class constraints. An example of this type is given.

[ { "created": "Wed, 19 Dec 2001 12:53:29 GMT", "version": "v1" }, { "created": "Tue, 12 Mar 2002 15:34:15 GMT", "version": "v2" } ]

2009-11-07

[ [ "Batalin", "Igor", "" ], [ "Lyakhovich", "Simon", "" ], [ "Marnelius", "Robert", "" ] ]

We propose a new BRST-like quantization procedure which is applicable to dynamical systems containing both first and second class constraints. It requires no explicit separation into first and second class constraints and therefore no conversion of second class constraints is needed. The basic ingredient is instead an invariant projection operator which projects out the maximal subset of constraints in involution. The hope is that the method will enable a covariant quantization of models for which there is no covariant separation into first and second class constraints. An example of this type is given.

8.906615

7.911895

9.344954

7.602

7.86684

8.221176

7.861792

8.028455

7.396223

8.820377

7.688554

7.830649

8.285317

8.111307

8.03738

7.977795

7.798837

8.04418

8.008689

8.472637

7.943247

1605.09289

Giuseppe Dibitetto

U. H. Danielsson, G. Dibitetto and S. C. Vargas

Universal isolation in the AdS landscape

36 pages, 7 figures

Phys. Rev. D 94, 126002 (2016)

10.1103/PhysRevD.94.126002

UUITP-11/16

hep-th

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

We study the universal conditions for quantum non-perturbative stability against bubble nucleation for pertubatively stable AdS vacua based on positive energy theorems. We also compare our analysis with the pre-existing ones in the literature carried out within the thin-wall approximation. The aforementioned criterion is then tested in two explicit examples describing massive type IIA string theory compactified on $S^3$ and $S^3\,\times\,S^3$, respectively. The AdS landscape of both classes of compactifications is known to consist of a set of isolated points. The main result is that all critical points respecting the Breitenlohner-Freedaman (BF) bound also turn out be stable at a non-perturbative level. Finally, we speculate on the possible universal features that may be extracted from the above specific examples.

[ { "created": "Mon, 30 May 2016 15:51:06 GMT", "version": "v1" } ]

2016-12-07

[ [ "Danielsson", "U. H.", "" ], [ "Dibitetto", "G.", "" ], [ "Vargas", "S. C.", "" ] ]

We study the universal conditions for quantum non-perturbative stability against bubble nucleation for pertubatively stable AdS vacua based on positive energy theorems. We also compare our analysis with the pre-existing ones in the literature carried out within the thin-wall approximation. The aforementioned criterion is then tested in two explicit examples describing massive type IIA string theory compactified on $S^3$ and $S^3\,\times\,S^3$, respectively. The AdS landscape of both classes of compactifications is known to consist of a set of isolated points. The main result is that all critical points respecting the Breitenlohner-Freedaman (BF) bound also turn out be stable at a non-perturbative level. Finally, we speculate on the possible universal features that may be extracted from the above specific examples.

12.277437

11.890891

12.459536

10.761979

11.796291

11.026724

10.481047

11.020923

10.329698

12.266994

11.116255

11.529554

11.49091

11.159474

11.344144

11.386505

11.328814

11.202724

11.251093

11.39522

10.859583

2204.00264

Daniel Grumiller

Daniel Grumiller, Martin Laihartinger and Romain Ruzziconi

Minkowski and (A)dS ground states in general 2d dilaton gravity

13pp, proceedings contribution to MATRIX Event "2D Supersymmetric Theories and Related Topics"

null

TUW-22-02

hep-th gr-qc

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

We reorganize the derivative expansion of general (power-counting non-renormalizable) 2d dilaton gravity such that the mass function is integrable. As an example, we consider a three-parameter family of models and provide conditions on the parameters such that the ground state is either Minkowski, Rindler, or (A)dS.

[ { "created": "Fri, 1 Apr 2022 07:51:03 GMT", "version": "v1" } ]

2022-04-04

[ [ "Grumiller", "Daniel", "" ], [ "Laihartinger", "Martin", "" ], [ "Ruzziconi", "Romain", "" ] ]

We reorganize the derivative expansion of general (power-counting non-renormalizable) 2d dilaton gravity such that the mass function is integrable. As an example, we consider a three-parameter family of models and provide conditions on the parameters such that the ground state is either Minkowski, Rindler, or (A)dS.

12.307699

9.92907

11.340713

10.078907

10.270702

10.605439

9.408781

10.665378

9.013436

11.388096

9.49833

10.06522

10.779462

9.976155

10.043676

10.123384

10.211246

9.71934

10.031878

10.697631

10.130074

2208.06903

Mahdi Godazgar

Mahdi Godazgar, C.N. Pope, A. Saha, Haoyu Zhang

BRST Symmetry and the Convolutional Double Copy

35 pages

null

10.1007/JHEP11(2022)038

null

hep-th gr-qc

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

Motivated by the results of Anastasiou et al., we consider the convolutional double copy for BRST and anti-BRST covariant formulations of gravitational and gauge theories in more detail. We give a general BRST and anti-BRST invariant formulation of linearised $\mathcal{N}=0$ supergravity using superspace methods and show how this may be obtained from the square of linearised Yang-Mills theories. We demonstrate this relation for the Schwarzschild black hole and the ten-dimensional black string solution as two concrete examples.

[ { "created": "Sun, 14 Aug 2022 19:18:08 GMT", "version": "v1" } ]

2022-11-23

[ [ "Godazgar", "Mahdi", "" ], [ "Pope", "C. N.", "" ], [ "Saha", "A.", "" ], [ "Zhang", "Haoyu", "" ] ]

Motivated by the results of Anastasiou et al., we consider the convolutional double copy for BRST and anti-BRST covariant formulations of gravitational and gauge theories in more detail. We give a general BRST and anti-BRST invariant formulation of linearised $\mathcal{N}=0$ supergravity using superspace methods and show how this may be obtained from the square of linearised Yang-Mills theories. We demonstrate this relation for the Schwarzschild black hole and the ten-dimensional black string solution as two concrete examples.

10.082731

10.121786

11.627816

11.086302

10.616269

10.287387

9.166819

10.05162

10.109435

12.95158

9.565615

10.239785

10.517765

9.856735

9.687816

9.832982

9.866811

9.90866

10.161954

11.485588

9.188632

2404.01028

Igor Barashenkov

N. V. Alexeeva, I. V. Barashenkov, Alain Dika and Raphael De Sousa

The energy-frequency diagram of the (1+1)-dimensional $\Phi^4$ oscillon

21 pages, 6 figures

null

hep-th nlin.PS

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

Two different methods are used to study the existence and stability of the (1+1)-dimensional $\Phi^4$ oscillon. The variational technique approximates it by a periodic function with a set of adiabatically changing parameters. An alternative approach treats oscillons as standing waves in a finite-size box; these are sought as solutions of a boundary-value problem on a two-dimensional domain. The numerical analysis reveals that the standing wave's energy-frequency diagram is fragmented into disjoint segments with $\omega_{n-1} < \omega < \omega_{n-2}$, where $\omega_n=\frac{2}{n+1}$. In the interval $(\omega_{n-1}, \omega_{n-2})$, the structure's small-amplitude wings are formed by the $n$-th harmonic radiation ($n=2,3, ...$). All standing waves are practically stable: perturbations may result in the deformation of the wave's radiation wings but do not affect its core. The variational approximation involving the first, zeroth and second harmonic components provides an accurate description of the oscillon with the frequency in $(\omega_1, \omega_0)$, but breaks down as $\omega$ falls out of that interval.

[ { "created": "Mon, 1 Apr 2024 10:17:00 GMT", "version": "v1" }, { "created": "Mon, 22 Apr 2024 07:34:42 GMT", "version": "v2" } ]

2024-04-23

[ [ "Alexeeva", "N. V.", "" ], [ "Barashenkov", "I. V.", "" ], [ "Dika", "Alain", "" ], [ "De Sousa", "Raphael", "" ] ]

Two different methods are used to study the existence and stability of the (1+1)-dimensional $\Phi^4$ oscillon. The variational technique approximates it by a periodic function with a set of adiabatically changing parameters. An alternative approach treats oscillons as standing waves in a finite-size box; these are sought as solutions of a boundary-value problem on a two-dimensional domain. The numerical analysis reveals that the standing wave's energy-frequency diagram is fragmented into disjoint segments with $\omega_{n-1} < \omega < \omega_{n-2}$, where $\omega_n=\frac{2}{n+1}$. In the interval $(\omega_{n-1}, \omega_{n-2})$, the structure's small-amplitude wings are formed by the $n$-th harmonic radiation ($n=2,3, ...$). All standing waves are practically stable: perturbations may result in the deformation of the wave's radiation wings but do not affect its core. The variational approximation involving the first, zeroth and second harmonic components provides an accurate description of the oscillon with the frequency in $(\omega_1, \omega_0)$, but breaks down as $\omega$ falls out of that interval.

8.66253

9.400229

8.75637

8.245398

9.396687

8.993248

8.847569

9.158383

9.186974

9.345899

8.698

8.094817

8.589607

8.216699

8.307968

8.417205

8.553612

8.353764

8.287835

8.540063

8.233978

2212.00037

Konstantinos Siampos

Konstantinos Sfetsos and Konstantinos Siampos

Integrable models based on non-semi-simple groups and plane wave target spacetimes

v1:1+33 pages, Latex, v2:JHEP version

JHEP 04 (2023) 038

10.1007/JHEP04(2023)038

null

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

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

We initiate the construction of integrable $\lambda$-deformed WZW models based on non-semisimple groups. We focus on the four-dimensional case whose underlying symmetries are based on the non-semisimple group $E_2^c$. The corresponding gravitational backgrounds of Lorentzian signature are plane waves which can be obtained as Penrose limits of the $\lambda$-deformed $SU(2)$ background times a timelike coordinate for appropriate choices of the $\lambda$-matrix. We construct two such deformations which we demonstrate to be integrable. They both deform the Nappi-Witten plane wave and are inequivalent. Nevertheless, they have the same underlying symmetry algebra which is a Saletan-type contraction of that for the $\lambda$-deformed $SU(2)$ background with a timelike direction. We also construct a plane wave from the Penrose limit of the $\lambda$-deformation of the $\nicefrac{SU(2)}{U(1)}$ coset CFT times a timelike coordinate which represents the deformation of a logarithmic CFT constructed in the past. Finally, we briefly consider contractions based on the simplest Yang-baxter $\sigma$-models.

[ { "created": "Wed, 30 Nov 2022 19:00:01 GMT", "version": "v1" }, { "created": "Tue, 11 Apr 2023 11:20:49 GMT", "version": "v2" } ]

2023-04-12

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

We initiate the construction of integrable $\lambda$-deformed WZW models based on non-semisimple groups. We focus on the four-dimensional case whose underlying symmetries are based on the non-semisimple group $E_2^c$. The corresponding gravitational backgrounds of Lorentzian signature are plane waves which can be obtained as Penrose limits of the $\lambda$-deformed $SU(2)$ background times a timelike coordinate for appropriate choices of the $\lambda$-matrix. We construct two such deformations which we demonstrate to be integrable. They both deform the Nappi-Witten plane wave and are inequivalent. Nevertheless, they have the same underlying symmetry algebra which is a Saletan-type contraction of that for the $\lambda$-deformed $SU(2)$ background with a timelike direction. We also construct a plane wave from the Penrose limit of the $\lambda$-deformation of the $\nicefrac{SU(2)}{U(1)}$ coset CFT times a timelike coordinate which represents the deformation of a logarithmic CFT constructed in the past. Finally, we briefly consider contractions based on the simplest Yang-baxter $\sigma$-models.

6.972924

7.033978

8.631029

6.539117

7.455482

6.880225

6.721216

7.001393

7.202775

9.149582

6.699893

6.580863

7.359692

6.895176

6.653081

6.601057

6.723843

6.68939

6.658645

7.240738

6.781164

1010.3561

Mohammad M. Sheikh-Jabbari

F. Loran, M.M. Sheikh-Jabbari, M. Vincon

Beyond Logarithmic Corrections to Cardy Formula

30 pages, no figures; v2: minor improvements, one reference added, v3: minor corrections to match the published version

JHEP 1101:110,2011

10.1007/JHEP01(2011)110

IPM/P-2010/041

hep-th

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

As shown by Cardy modular invariance of the partition function of a given unitary non-singular 2d CFT with left and right central charges c_L and c_R, implies that the density of states in a microcanonical ensemble, at excitations Delta and Delta-bar and in the saddle point approximation, is \rho_0(\Delta,\bar\Delta;c_L, c_R)=c_L c_R \exp(2\pi\sqrt{{c_L\Delta}/{6}})\exp(2\pi\sqrt{{c_R\bar\Delta}/{6}}). In this paper, we extend Cardy's analysis and show that in the saddle point approximation and up to contributions which are exponentially suppressed compared to the leading Cardy's result, the density of states takes the form \rho(\Delta,\bar\Delta; c_L,c_R)= f(c_L\Delta) f(c_R\bar\Delta)\rho_0(\Delta,\bar\Delta; c_L, c_R), for a function f(x) which we specify. In particular, we show that (i) \rho (\Delta,\bar\Delta; c_L, c_R) is the product of contributions of left and right movers and hence, to this approximation, the partition function of any modular invariant, non-singular unitary 2d CFT is holomorphically factorizable and (ii) \rho(\Delta,\bar\Delta; c_L, c_R)/(c_Lc_R) is only a function of $c_R\bar\Delta$ and $c_L\Delta$. In addition, treating \rho(\Delta,\bar\Delta; c_L, c_R) as the density of states of a microcanonical ensemble, we compute the entropy of the system in the canonical counterpart and show that the function f(x) is such that the canonical entropy, up to exponentially suppressed contributions, is simply given by the Cardy's result \ln\rho_0(\Delta,\bar\Delta; c_L, c_R).

[ { "created": "Mon, 18 Oct 2010 11:41:12 GMT", "version": "v1" }, { "created": "Sat, 13 Nov 2010 13:00:08 GMT", "version": "v2" }, { "created": "Mon, 31 Jan 2011 06:50:31 GMT", "version": "v3" } ]

2011-02-01

[ [ "Loran", "F.", "" ], [ "Sheikh-Jabbari", "M. M.", "" ], [ "Vincon", "M.", "" ] ]

As shown by Cardy modular invariance of the partition function of a given unitary non-singular 2d CFT with left and right central charges c_L and c_R, implies that the density of states in a microcanonical ensemble, at excitations Delta and Delta-bar and in the saddle point approximation, is \rho_0(\Delta,\bar\Delta;c_L, c_R)=c_L c_R \exp(2\pi\sqrt{{c_L\Delta}/{6}})\exp(2\pi\sqrt{{c_R\bar\Delta}/{6}}). In this paper, we extend Cardy's analysis and show that in the saddle point approximation and up to contributions which are exponentially suppressed compared to the leading Cardy's result, the density of states takes the form \rho(\Delta,\bar\Delta; c_L,c_R)= f(c_L\Delta) f(c_R\bar\Delta)\rho_0(\Delta,\bar\Delta; c_L, c_R), for a function f(x) which we specify. In particular, we show that (i) \rho (\Delta,\bar\Delta; c_L, c_R) is the product of contributions of left and right movers and hence, to this approximation, the partition function of any modular invariant, non-singular unitary 2d CFT is holomorphically factorizable and (ii) \rho(\Delta,\bar\Delta; c_L, c_R)/(c_Lc_R) is only a function of $c_R\bar\Delta$ and $c_L\Delta$. In addition, treating \rho(\Delta,\bar\Delta; c_L, c_R) as the density of states of a microcanonical ensemble, we compute the entropy of the system in the canonical counterpart and show that the function f(x) is such that the canonical entropy, up to exponentially suppressed contributions, is simply given by the Cardy's result \ln\rho_0(\Delta,\bar\Delta; c_L, c_R).

4.25879

4.658892

4.330395

4.215625

4.487169

4.434753

4.318063

4.271359

4.434581

4.427091

4.292941

4.183991

4.11434

4.047168

4.076187

4.073675

4.112885

4.074604

4.088926

4.150808

4.085237

1104.0738

Io Kawaguchi

Io Kawaguchi, Domenico Orlando, Kentaroh Yoshida

Yangian symmetry in deformed WZNW models on squashed spheres

12 pages, 1 figure, references added

Phys.Lett.B701:475-480,2011

10.1016/j.physletb.2011.06.007

KUNS-2328, IPMU11-0054

hep-th math-ph math.MP

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

We introduce a deformation of the Wess-Zumino-Novikov-Witten model with three-dimensional squashed sphere target space. We show how with an appropriate choice of Wess--Zumino and boundary terms it is possible to construct an infinite family of conserved charges realizing an SU(2) Yangian. Finally we discuss the running of the squashing parameter under renormalization group flow.

[ { "created": "Tue, 5 Apr 2011 06:02:53 GMT", "version": "v1" }, { "created": "Tue, 19 Apr 2011 08:18:16 GMT", "version": "v2" } ]

2011-07-06

[ [ "Kawaguchi", "Io", "" ], [ "Orlando", "Domenico", "" ], [ "Yoshida", "Kentaroh", "" ] ]

We introduce a deformation of the Wess-Zumino-Novikov-Witten model with three-dimensional squashed sphere target space. We show how with an appropriate choice of Wess--Zumino and boundary terms it is possible to construct an infinite family of conserved charges realizing an SU(2) Yangian. Finally we discuss the running of the squashing parameter under renormalization group flow.

8.784268

7.174935

10.602312

8.076159

8.158674

8.328188

9.278585

7.510239

7.932146

10.038553

7.930235

8.38658

9.540621

8.498133

8.378576

8.309417

8.718176

8.386995

8.409565

9.325364

8.756266

hep-th/9310123

Friedemann Brandt

Structure of BRS-Invariant Local Functionals

20 pages, Latex, NIKHEF-H 93-21

null

hep-th

null

For a large class of gauge theories a nilpotent BRS-operator $s$ is constructed and its cohomology in the space of local functionals of the off-shell fields is shown to be isomorphic to the cohomology of $\4s=s+d$ on functions $f(\4C,\PH)$ of tensor fields $\PH$ and of variables $\4C$ which are constructed of the ghosts and the connection forms. The result allows general statements about the structure of invariant classical actions and anomaly candidates whose BRS-variation vanishes off-shell. The assumptions under which the result holds are thoroughly discussed.

[ { "created": "Tue, 19 Oct 1993 18:59:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Brandt", "Friedemann", "" ] ]

For a large class of gauge theories a nilpotent BRS-operator $s$ is constructed and its cohomology in the space of local functionals of the off-shell fields is shown to be isomorphic to the cohomology of $\4s=s+d$ on functions $f(\4C,\PH)$ of tensor fields $\PH$ and of variables $\4C$ which are constructed of the ghosts and the connection forms. The result allows general statements about the structure of invariant classical actions and anomaly candidates whose BRS-variation vanishes off-shell. The assumptions under which the result holds are thoroughly discussed.

12.473999

11.557197

14.095716

12.204393

12.373779

13.375728

14.55784

12.778948

11.818615

15.0084

12.049909

10.807231

11.683848

11.445778

11.553257

11.443516

11.407907

11.339314

11.810655

11.935577

11.246702

1703.04148

Mojtaba Taslimi Tehrani

Quantum BRST charge in gauge theories in curved space-time

41 pages, 1 figure, v3: Intoduction rewritten, Proposition 14 replaced by Lemma 14, Theorem 16 omitted, Theorem 18 replaced by Theorem 16 and its proof corrected, lemma 11 replaced by Theorem 19, comparison with RG flow equation added, Results unchanged

null

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

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

Renormalized gauge-invariant observables in gauge theories form an algebra which is obtained as the cohomology of the derivation $[\textbf{Q}_L, -]$ with $\textbf{Q}_L$ the renormalized interacting quantum BRST charge. For a large class of gauge theories in Lorentzian globally hyperbolic space-times, we derive an identity in renormalized perturbation theory which expresses the commutator $[\textbf{Q}_L, -]$ in terms of a new nilpotent quantum BRST differential and a new quantum anti-bracket which differ from their classical counterparts by certain quantum corrections. This identity enables us to prove different manifestations of gauge symmetry preservation at the quantum level in a model-independent fashion.

[ { "created": "Sun, 12 Mar 2017 17:48:07 GMT", "version": "v1" }, { "created": "Sun, 9 Apr 2017 11:54:32 GMT", "version": "v2" }, { "created": "Sun, 12 Aug 2018 15:32:11 GMT", "version": "v3" } ]

2018-08-14

[ [ "Tehrani", "Mojtaba Taslimi", "" ] ]

Renormalized gauge-invariant observables in gauge theories form an algebra which is obtained as the cohomology of the derivation $[\textbf{Q}_L, -]$ with $\textbf{Q}_L$ the renormalized interacting quantum BRST charge. For a large class of gauge theories in Lorentzian globally hyperbolic space-times, we derive an identity in renormalized perturbation theory which expresses the commutator $[\textbf{Q}_L, -]$ in terms of a new nilpotent quantum BRST differential and a new quantum anti-bracket which differ from their classical counterparts by certain quantum corrections. This identity enables us to prove different manifestations of gauge symmetry preservation at the quantum level in a model-independent fashion.

7.137511

7.295502

7.722795

6.858026

7.992455

7.498124

7.176303

7.137319

7.314218

8.680041

6.790856

6.573721

7.25479

6.940741

7.083208

6.756717

6.690251

6.843832

6.629925

7.399899

6.528898

hep-th/9411146

Sathya

S.Guruswamy and P.Vitale

Correlation Functions of a Conformal Field Theory in Three Dimensions

15 pages, Latex

Mod.Phys.Lett. A11 (1996) 1047-1059

10.1142/S0217732396001089

UR-1395; ER-40685-843

hep-th cond-mat

null

We derive explicit forms of the two--point correlation functions of the $O(N)$ non-linear sigma model at the critical point, in the large $N$ limit, on various three dimensional manifolds of constant curvature. The two--point correlation function, $G(x, y)$, is the only $n$-point correlation function which survives in this limit. We analyze the short distance and long distance behaviour of $G(x, y)$. It is shown that $G(x, y)$ decays exponentially with the Riemannian distance on the spaces $R^2 \times S^1,~S^1 \times S^1 \times R, ~S^2 \times R,~H^2 \times R$. The decay on $R^3$ is of course a power law. We show that the scale for the correlation length is given by the geometry of the space and therefore the long distance behaviour of the critical correlation function is not necessarily a power law even though the manifold is of infinite extent in all directions; this is the case of the hyperbolic space where the radius of curvature plays the role of a scale parameter. We also verify that the scalar field in this theory is a primary field with weight $\delta=-{1 \over 2}$; we illustrate this using the example of the manifold $S^2 \times R$ whose metric is conformally equivalent to that of $R^3-\{0\}$ up to a reparametrization.

[ { "created": "Sun, 20 Nov 1994 00:50:59 GMT", "version": "v1" } ]

2015-06-26

[ [ "Guruswamy", "S.", "" ], [ "Vitale", "P.", "" ] ]

We derive explicit forms of the two--point correlation functions of the $O(N)$ non-linear sigma model at the critical point, in the large $N$ limit, on various three dimensional manifolds of constant curvature. The two--point correlation function, $G(x, y)$, is the only $n$-point correlation function which survives in this limit. We analyze the short distance and long distance behaviour of $G(x, y)$. It is shown that $G(x, y)$ decays exponentially with the Riemannian distance on the spaces $R^2 \times S^1,~S^1 \times S^1 \times R, ~S^2 \times R,~H^2 \times R$. The decay on $R^3$ is of course a power law. We show that the scale for the correlation length is given by the geometry of the space and therefore the long distance behaviour of the critical correlation function is not necessarily a power law even though the manifold is of infinite extent in all directions; this is the case of the hyperbolic space where the radius of curvature plays the role of a scale parameter. We also verify that the scalar field in this theory is a primary field with weight $\delta=-{1 \over 2}$; we illustrate this using the example of the manifold $S^2 \times R$ whose metric is conformally equivalent to that of $R^3-\{0\}$ up to a reparametrization.

5.506123

5.885321

5.591686

5.491485

5.574155

5.777526

5.625653

5.449958

5.577775

5.926831

5.530404

5.428275

5.450475

5.401647

5.5042

5.413793

5.520029

5.404599

5.373394

5.506798

5.422509

2308.12355

Jordan Cotler

Jordan Cotler, Semon Rezchikov

Renormalizing Diffusion Models

69+15 pages, 8 figures; v2: figure and references added, typos corrected

null

hep-th cs.LG hep-lat

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

We explain how to use diffusion models to learn inverse renormalization group flows of statistical and quantum field theories. Diffusion models are a class of machine learning models which have been used to generate samples from complex distributions, such as the distribution of natural images. These models achieve sample generation by learning the inverse process to a diffusion process which adds noise to the data until the distribution of the data is pure noise. Nonperturbative renormalization group schemes in physics can naturally be written as diffusion processes in the space of fields. We combine these observations in a concrete framework for building ML-based models for studying field theories, in which the models learn the inverse process to an explicitly-specified renormalization group scheme. We detail how these models define a class of adaptive bridge (or parallel tempering) samplers for lattice field theory. Because renormalization group schemes have a physical meaning, we provide explicit prescriptions for how to compare results derived from models associated to several different renormalization group schemes of interest. We also explain how to use diffusion models in a variational method to find ground states of quantum systems. We apply some of our methods to numerically find RG flows of interacting statistical field theories. From the perspective of machine learning, our work provides an interpretation of multiscale diffusion models, and gives physically-inspired suggestions for diffusion models which should have novel properties.

[ { "created": "Wed, 23 Aug 2023 18:02:31 GMT", "version": "v1" }, { "created": "Tue, 5 Sep 2023 20:50:26 GMT", "version": "v2" } ]

2023-09-07

[ [ "Cotler", "Jordan", "" ], [ "Rezchikov", "Semon", "" ] ]

We explain how to use diffusion models to learn inverse renormalization group flows of statistical and quantum field theories. Diffusion models are a class of machine learning models which have been used to generate samples from complex distributions, such as the distribution of natural images. These models achieve sample generation by learning the inverse process to a diffusion process which adds noise to the data until the distribution of the data is pure noise. Nonperturbative renormalization group schemes in physics can naturally be written as diffusion processes in the space of fields. We combine these observations in a concrete framework for building ML-based models for studying field theories, in which the models learn the inverse process to an explicitly-specified renormalization group scheme. We detail how these models define a class of adaptive bridge (or parallel tempering) samplers for lattice field theory. Because renormalization group schemes have a physical meaning, we provide explicit prescriptions for how to compare results derived from models associated to several different renormalization group schemes of interest. We also explain how to use diffusion models in a variational method to find ground states of quantum systems. We apply some of our methods to numerically find RG flows of interacting statistical field theories. From the perspective of machine learning, our work provides an interpretation of multiscale diffusion models, and gives physically-inspired suggestions for diffusion models which should have novel properties.

10.507331

12.440369

11.828648

10.814043

11.760787

12.551857

12.430316

11.620564

11.159243

13.280297

10.525304

10.533872

10.533269

10.393264

10.442125

10.645188

10.345528

10.434597

10.364718

10.671929

10.346692

0710.2300

Martin Kruczenski

Riei Ishizeki, Martin Kruczenski, Marcus Spradlin, Anastasia Volovich

Scattering of single spikes

17 pages, LaTeX, 2 figures. v2: References added, typos corrected

JHEP 0802:009,2008

10.1088/1126-6708/2008/02/009

null

hep-th

null

We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the literature. Further application of the method allows the construction of solutions with multiple spikes. In particular we construct the solution describing the scattering of two single spikes and compute the scattering phase shift. As a function of the dressing parameters, the result is exactly the same as the one for the giant magnon, up to non-logarithmic terms. This suggests that the single spikes should be described by an integrable spin chain closely related to the one associated to the giant magnons. The field theory interpretation of such spin chain however is still unclear.

[ { "created": "Thu, 11 Oct 2007 17:30:58 GMT", "version": "v1" }, { "created": "Wed, 7 Nov 2007 22:32:07 GMT", "version": "v2" } ]

2010-02-03

[ [ "Ishizeki", "Riei", "" ], [ "Kruczenski", "Martin", "" ], [ "Spradlin", "Marcus", "" ], [ "Volovich", "Anastasia", "" ] ]

We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the literature. Further application of the method allows the construction of solutions with multiple spikes. In particular we construct the solution describing the scattering of two single spikes and compute the scattering phase shift. As a function of the dressing parameters, the result is exactly the same as the one for the giant magnon, up to non-logarithmic terms. This suggests that the single spikes should be described by an integrable spin chain closely related to the one associated to the giant magnons. The field theory interpretation of such spin chain however is still unclear.

10.058396

9.174607

11.474508

8.768289

8.110632

9.29043

9.034389

8.323396

8.541714

10.969667

8.320211

8.242391

9.673264

8.834442

8.971686

8.551366

8.508189

8.664829

8.584051

9.82118

8.591239

0906.0596

Michael Gutperle

Eric D'Hoker, John Estes, Michael Gutperle, and Darya Krym

Exact Half-BPS Flux Solutions in M-theory III: Existence and rigidity of global solutions asymptotic to AdS4 x S7

52 pages, 2 figures, pdf-latex. Minor changes

JHEP 0909:067,2009

10.1088/1126-6708/2009/09/067

UCLA/09/TEP/44, CPHT-RR042.0509

hep-th

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

The BPS equations in M-theory for solutions with 16 residual supersymmetries, $SO(2,2)\times SO(4)\times SO(4)$ symmetry, and $AdS_4 \times S^7$ asymptotics, were reduced in [arXiv:0806.0605] to a linear first order partial differential equation on a Riemann surface with boundary, subject to a non-trivial quadratic constraint. In the present paper, suitable regularity and boundary conditions are imposed for the existence of global solutions. We seek regular solutions with multiple distinct asymptotic $AdS_4 \times S^7$ regions, but find that, remarkably, such solutions invariably reduce to multiple covers of the M-Janus solution found by the authors in [arXiv:0904.3313], suggesting rigidity of the half-BPS M-Janus solution. In particular, we prove analytically that no other smooth deformations away from the M-Janus solution exist, as such deformations invariably violate the quadratic constraint. These rigidity results are contrasted to the existence of half-BPS solutions with non-trivial 4-form fluxes and charges asymptotic to $AdS_7 \times S^4$. The results are related to the possibility of M2-branes to end on M5-branes, but the impossibility of M5-branes to end on M2-branes, and to the non-existence of half-BPS solutions with simultaneous $AdS_4 \times S^7$ and $AdS_7 \times S^4$ asymptotic regions.

[ { "created": "Tue, 2 Jun 2009 20:24:42 GMT", "version": "v1" }, { "created": "Mon, 17 Aug 2009 05:25:57 GMT", "version": "v2" } ]

2009-10-02

[ [ "D'Hoker", "Eric", "" ], [ "Estes", "John", "" ], [ "Gutperle", "Michael", "" ], [ "Krym", "Darya", "" ] ]

The BPS equations in M-theory for solutions with 16 residual supersymmetries, $SO(2,2)\times SO(4)\times SO(4)$ symmetry, and $AdS_4 \times S^7$ asymptotics, were reduced in [arXiv:0806.0605] to a linear first order partial differential equation on a Riemann surface with boundary, subject to a non-trivial quadratic constraint. In the present paper, suitable regularity and boundary conditions are imposed for the existence of global solutions. We seek regular solutions with multiple distinct asymptotic $AdS_4 \times S^7$ regions, but find that, remarkably, such solutions invariably reduce to multiple covers of the M-Janus solution found by the authors in [arXiv:0904.3313], suggesting rigidity of the half-BPS M-Janus solution. In particular, we prove analytically that no other smooth deformations away from the M-Janus solution exist, as such deformations invariably violate the quadratic constraint. These rigidity results are contrasted to the existence of half-BPS solutions with non-trivial 4-form fluxes and charges asymptotic to $AdS_7 \times S^4$. The results are related to the possibility of M2-branes to end on M5-branes, but the impossibility of M5-branes to end on M2-branes, and to the non-existence of half-BPS solutions with simultaneous $AdS_4 \times S^7$ and $AdS_7 \times S^4$ asymptotic regions.

6.174236

6.182517

6.658222

5.876773

6.101673

6.032757

6.156487

6.082816

6.176126

7.473718

6.021436

5.929539

6.233154

5.862397

5.959036

6.042808

5.886108

5.940905

5.948011

6.331366

5.906835

hep-th/0503106

Bianca Letizia Cerchiai

Sergio L. Cacciatori, Bianca L. Cerchiai, Alberto Della Vedova, Giovanni Ortenzi and Antonio Scotti

Euler angles for G2

21 pages, 2 figures, some misprints corrected

J.Math.Phys. 46 (2005) 083512

10.1063/1.1993549

IFUM-827-FT, LBNL-57265, UCB-PTH-05/05

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

null

We provide a simple parametrization for the group G2, which is analogous to the Euler parametrization for SU(2). We show how to obtain the general element of the group in a form emphasizing the structure of the fibration of G2 with fiber SO(4) and base H, the variety of quaternionic subalgebras of octonions. In particular this allows us to obtain a simple expression for the Haar measure on G2. Moreover, as a by-product it yields a concrete realization and an Einstein metric for H.

[ { "created": "Fri, 11 Mar 2005 20:30:11 GMT", "version": "v1" }, { "created": "Fri, 6 May 2005 20:31:55 GMT", "version": "v2" } ]

2009-11-11

[ [ "Cacciatori", "Sergio L.", "" ], [ "Cerchiai", "Bianca L.", "" ], [ "Della Vedova", "Alberto", "" ], [ "Ortenzi", "Giovanni", "" ], [ "Scotti", "Antonio", "" ] ]

We provide a simple parametrization for the group G2, which is analogous to the Euler parametrization for SU(2). We show how to obtain the general element of the group in a form emphasizing the structure of the fibration of G2 with fiber SO(4) and base H, the variety of quaternionic subalgebras of octonions. In particular this allows us to obtain a simple expression for the Haar measure on G2. Moreover, as a by-product it yields a concrete realization and an Einstein metric for H.

8.261082

8.606973

9.316886

7.877038

9.295601

9.24995

8.957352

8.992326

8.568976

9.563797

8.374644

7.98317

8.769755

8.270685

8.164394

8.107276

8.119058

8.572782

7.965204

8.330428

7.995075

2304.13740

Andreas Helset

Rafael Aoude, Kays Haddad, Andreas Helset

Classical gravitational scattering at $\mathcal{O}(G^{2} S_{1}^{\infty} S_{2}^{\infty})$

16 pages

null

10.1103/PhysRevD.108.024050

CP3-23-19, UUITP-10/23, CALT-TH-2023-010

hep-th gr-qc hep-ph

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

We calculate the scattering of two rotating objects with the linear-in-curvature spin-induced multipoles of Kerr black holes at $\mathcal{O}(G^2)$ and all orders in the spins of both objects. This is done including the complete set of contact terms potentially relevant to Kerr-black-hole scattering at $\mathcal{O}(G^2)$. As such, Kerr black holes should be described by this scattering amplitude for a specific choice of values for the contact-term coefficients. The inclusion of all potential contact terms means this amplitude allows for a comprehensive search for structures emerging for certain values of the coefficients, and hence special properties that might be exhibited by Kerr-black-hole scattering. Our result can also act as a template for comparison for future computations of classical gravitational high-spin scattering.

[ { "created": "Wed, 26 Apr 2023 17:59:53 GMT", "version": "v1" } ]

2023-08-02

[ [ "Aoude", "Rafael", "" ], [ "Haddad", "Kays", "" ], [ "Helset", "Andreas", "" ] ]

We calculate the scattering of two rotating objects with the linear-in-curvature spin-induced multipoles of Kerr black holes at $\mathcal{O}(G^2)$ and all orders in the spins of both objects. This is done including the complete set of contact terms potentially relevant to Kerr-black-hole scattering at $\mathcal{O}(G^2)$. As such, Kerr black holes should be described by this scattering amplitude for a specific choice of values for the contact-term coefficients. The inclusion of all potential contact terms means this amplitude allows for a comprehensive search for structures emerging for certain values of the coefficients, and hence special properties that might be exhibited by Kerr-black-hole scattering. Our result can also act as a template for comparison for future computations of classical gravitational high-spin scattering.

14.409672

12.581908

14.10076

12.779801

12.970708

12.391026

13.126951

12.288668

13.113735

15.055884

12.9378

12.71877

13.005787

12.920697

12.586616

12.716924

12.476521

12.56702

12.55629

13.503935

12.44782

1612.06236

Georgios Linardopoulos

Marius de Leeuw, Charlotte Kristjansen and Georgios Linardopoulos

One-Point Functions of Non-protected Operators in the SO(5) symmetric D3-D7 dCFT

15 pages, 1 figure. Minor corrections & updates

J.Phys. A50 (2017) 254001

10.1088/1751-8121/aa714b

null

hep-th

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

We study tree level one-point functions of non-protected scalar operators in the defect CFT, based on N=4 SYM, which is dual to the SO(5) symmetric D3-D7 probe brane system with non-vanishing instanton number. Whereas symmetries prevent operators from the SU(2) and SU(3) sub-sectors from having non-vanishing one-point functions, more general scalar conformal operators, which in particular constitute Bethe eigenstates of the integrable SO(6) spin chain, are allowed to have non-trivial one-point functions. For a series of operators with a small number of excitations we find closed expressions in terms of Bethe roots for these one-point functions, valid for any value of the instanton number. In addition, we present some numerical results for operators with more excitations.

[ { "created": "Mon, 19 Dec 2016 15:53:36 GMT", "version": "v1" }, { "created": "Wed, 31 May 2017 17:26:09 GMT", "version": "v2" }, { "created": "Tue, 5 Jun 2018 17:46:32 GMT", "version": "v3" } ]

2018-06-06

[ [ "de Leeuw", "Marius", "" ], [ "Kristjansen", "Charlotte", "" ], [ "Linardopoulos", "Georgios", "" ] ]

We study tree level one-point functions of non-protected scalar operators in the defect CFT, based on N=4 SYM, which is dual to the SO(5) symmetric D3-D7 probe brane system with non-vanishing instanton number. Whereas symmetries prevent operators from the SU(2) and SU(3) sub-sectors from having non-vanishing one-point functions, more general scalar conformal operators, which in particular constitute Bethe eigenstates of the integrable SO(6) spin chain, are allowed to have non-trivial one-point functions. For a series of operators with a small number of excitations we find closed expressions in terms of Bethe roots for these one-point functions, valid for any value of the instanton number. In addition, we present some numerical results for operators with more excitations.

6.903024

6.037037

8.624515

6.073364

6.65704

6.043417

6.95527

6.018857

6.051733

8.383049

6.134691

6.593487

7.515167

6.398957

6.717015

6.447014

6.454116

6.56983

6.540416

7.433726

6.448856

1407.0410

Francesco Nitti

Francesco Nitti, Giuseppe Policastro, Thomas Vanel

Polarized solutions and Fermi surfaces in holographic Bose-Fermi systems

46 pages, 17 figures

null

10.1007/JHEP12(2014)027

null

hep-th cond-mat.str-el

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

We use holography to study the ground state of a system with interacting bosonic and fermionic degrees of freedom at finite density. The gravitational model consists of Einstein-Maxwell gravity coupled to a perfect fluid of charged fermions and to a charged scalar field which interact through a current-current interaction. When the scalar field is non-trivial, in addition to compact electron stars, the screening of the fermion electric charge by the scalar condensate allows the formation of solutions where the fermion fluid is made of antiparticles, as well as solutions with coexisting, separated regions of particle-like and antiparticle-like fermion fluids. We show that, when the latter solutions exist, they are thermodynamically favored. By computing the two-point Green function of the boundary fermionic operator we show that, in addition to the charged scalar condensate, the dual field theory state exhibits electron-like and/or hole-like Fermi surfaces. Compared to fluid-only solutions, the presence of the scalar condensate destroys the Fermi surfaces with lowest Fermi momenta. We interpret this as a signal of the onset of superconductivity.

[ { "created": "Tue, 1 Jul 2014 21:00:21 GMT", "version": "v1" } ]

2015-06-22

[ [ "Nitti", "Francesco", "" ], [ "Policastro", "Giuseppe", "" ], [ "Vanel", "Thomas", "" ] ]

We use holography to study the ground state of a system with interacting bosonic and fermionic degrees of freedom at finite density. The gravitational model consists of Einstein-Maxwell gravity coupled to a perfect fluid of charged fermions and to a charged scalar field which interact through a current-current interaction. When the scalar field is non-trivial, in addition to compact electron stars, the screening of the fermion electric charge by the scalar condensate allows the formation of solutions where the fermion fluid is made of antiparticles, as well as solutions with coexisting, separated regions of particle-like and antiparticle-like fermion fluids. We show that, when the latter solutions exist, they are thermodynamically favored. By computing the two-point Green function of the boundary fermionic operator we show that, in addition to the charged scalar condensate, the dual field theory state exhibits electron-like and/or hole-like Fermi surfaces. Compared to fluid-only solutions, the presence of the scalar condensate destroys the Fermi surfaces with lowest Fermi momenta. We interpret this as a signal of the onset of superconductivity.

7.334826

7.341189

7.57393

6.603043

7.402261

7.274476

7.152781

7.320477

6.751455

8.200646

6.914627

6.621747

7.210775

6.888681

6.760972

6.73361

6.915416

6.827441

6.741619

7.26732

6.652134

1811.03916

Zheng-Wen Long

Lin-Fang Deng, Chao-Yun Long, Zheng-Wen Long and Ting Xu

Generalized Dirac oscillator in cosmic string space-time

23 pages

advance in high energy physics,2018,2741694.v3

null

hep-th

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

In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum pu with its alternative p_u+mwbf_u(x_u)). In particular, the quantum dynamics is considered for the function f_u(x_u) to be taken as cornell potential, exponential-type potentialand singular potential. For cornell potential and exponential-type potential, the corresponding radial equations can be mapped into the confluent hypergeometric equation and hypergeometric equation separately. The corresponding eigenfunctions can be represented as confluent hypergeometric function and hypergeometric function. The equations satisfed by the exact energy spectrum have been found. For singular potential, the wave function and energy eigenvalue are given exactly by power series method.

[ { "created": "Fri, 9 Nov 2018 14:19:12 GMT", "version": "v1" } ]

2018-11-12

[ [ "Deng", "Lin-Fang", "" ], [ "Long", "Chao-Yun", "" ], [ "Long", "Zheng-Wen", "" ], [ "Xu", "Ting", "" ] ]

In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum pu with its alternative p_u+mwbf_u(x_u)). In particular, the quantum dynamics is considered for the function f_u(x_u) to be taken as cornell potential, exponential-type potentialand singular potential. For cornell potential and exponential-type potential, the corresponding radial equations can be mapped into the confluent hypergeometric equation and hypergeometric equation separately. The corresponding eigenfunctions can be represented as confluent hypergeometric function and hypergeometric function. The equations satisfed by the exact energy spectrum have been found. For singular potential, the wave function and energy eigenvalue are given exactly by power series method.

13.359601

15.100753

13.92209

12.649928

15.285789

14.867729

15.108179

14.344141

13.015996

14.719069

14.06848

13.001474

12.947922

12.358148

12.513079

13.489635

13.087948

12.638093

12.652025

13.3947

12.623508

hep-th/9601133

Yakov Shnir

V. G. Kovalevich (Minsk), P. Osland (Bergen), Ya. M. Shnir (Berlin), E. A. Tolkachev (Minsk)

The Effective Lagrangian of QED with a Magnetic Charge

7 pages, LaTex

null

ICTP/95/188

hep-th

null

The effective Lagrangian of QED coupled to dyons is calculated. The resulting generalization of the Euler-Heisenberg Lagrangian contains non-linear $P$- and $T$-nonivariant (but $C$ invariant) terms corresponding to the virtual pair creation of dyons. As examples, the amplitudes for photon splitting and photon coalescence are calculated.

[ { "created": "Wed, 24 Jan 1996 13:35:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kovalevich", "V. G.", "", "Minsk" ], [ "Osland", "P.", "", "Bergen" ], [ "Shnir", "Ya. M.", "", "Berlin" ], [ "Tolkachev", "E. A.", "", "Minsk" ] ]

The effective Lagrangian of QED coupled to dyons is calculated. The resulting generalization of the Euler-Heisenberg Lagrangian contains non-linear $P$- and $T$-nonivariant (but $C$ invariant) terms corresponding to the virtual pair creation of dyons. As examples, the amplitudes for photon splitting and photon coalescence are calculated.

9.631535

8.758581

7.656905

7.62869

7.391181

9.146332

7.359124

9.182916

8.171493

9.173938

8.159465

8.662313

9.074339

8.691956

8.444593

8.40544

8.2526

8.42072

8.814697

9.443361

8.528887

1109.5465

Chaiho Rim Prof

Jae-Hyuk Oh, Jaemo Park and Chaiho Rim

Annulus amplitude of FZZT branes revisited

latex 13pages

null

hep-th

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

We revisit the annulus amplitude of FZZT branes with general matter sectors (r,s) using the recent development of matrix model and minimal Liouville gravity. Following the boundary description of the 1-matrix model and bulk resonance transformation between primary operators we find the consistency of the brane decomposition into (1,1)-branes. We also investigate the corresponding results obtained directly from the minimal Liouville gravity and demonstrate the perfect agreement with the matrix results.

[ { "created": "Mon, 26 Sep 2011 07:41:34 GMT", "version": "v1" } ]

2011-09-27

[ [ "Oh", "Jae-Hyuk", "" ], [ "Park", "Jaemo", "" ], [ "Rim", "Chaiho", "" ] ]

We revisit the annulus amplitude of FZZT branes with general matter sectors (r,s) using the recent development of matrix model and minimal Liouville gravity. Following the boundary description of the 1-matrix model and bulk resonance transformation between primary operators we find the consistency of the brane decomposition into (1,1)-branes. We also investigate the corresponding results obtained directly from the minimal Liouville gravity and demonstrate the perfect agreement with the matrix results.

21.577209

16.214344

23.33754

17.989941

18.669134

17.608633

18.190647

17.819998

18.817837

26.802633

18.075367

18.636429

21.353531

18.936464

17.620646

18.249504

17.757975

18.08353

19.113701

21.73283

18.451992

hep-th/9812137

Domenico Seminara

D. Seminara

Parity and Large Gauge Invariance in Thermal QED_3

5 pages sprocl.tex, Talks presented at Pascos98

null

hep-th cond-mat.supr-con

null

We settle the ``apparent'' paradox present in thermal QED_3 that the perturbative series is not invariant, as manifested by the temperature dependence of the induced Chern-Simons term, by showing that large (unlike small) transformations and hence their Ward identities, are not perturbative order-preserving. Instead the thermal effective gauge field actions induced by charged fermions in QED_3 can be made invariant under both small and large gauge transformations by suitable regularization of the Dirac operator determinant, at the usual price of parity anomalies. Our result is illustrated by a concrete example.

[ { "created": "Wed, 16 Dec 1998 07:47:10 GMT", "version": "v1" } ]

2007-05-23

[ [ "Seminara", "D.", "" ] ]

We settle the ``apparent'' paradox present in thermal QED_3 that the perturbative series is not invariant, as manifested by the temperature dependence of the induced Chern-Simons term, by showing that large (unlike small) transformations and hence their Ward identities, are not perturbative order-preserving. Instead the thermal effective gauge field actions induced by charged fermions in QED_3 can be made invariant under both small and large gauge transformations by suitable regularization of the Dirac operator determinant, at the usual price of parity anomalies. Our result is illustrated by a concrete example.

23.132841

14.167495

21.37792

18.050398

18.110096

15.383994

14.871

15.585813

17.279972

21.387571

17.097517

19.219671

19.524828

18.886389

17.779799

18.443705

17.750372

18.538725

18.52495

21.027693

18.919298

1308.5134

Valeri Dvoeglazov

Valeriy V. Dvoeglazov (UAZ)

Notoph-Graviton-Photon Coupling

21 pp. Invited paper for "Frontiers in Physics", http://www.frontiersin.org/ . Also presented at the QTS-8, El Colegio Nacional, Mexico city, Aug. 5-9, 2013. Small revisions for the presentations at the FFP-14, Marseille, France, July 2014 and "What comes beyond the Standard Model?" Bled, Slovenia, July 2014. To appear in the Proceedings

Int. J. Theor. Phys. 54, No. 3 (2015) 761-771; slightly revised in Bled Workshops, 15, No. 2 (2014) 75-92; the last Section was also published in Phys. Essays,V. 30, No. 1, pp. 100-101, 2017

10.1088/1742-6596/545/1/012004

null

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

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

In the sixties Ogievetskii and Polubarinov proposed the concept of a notoph, whose helicity properties are complementary to those of a photon. Later, Kalb and Ramond (and others) developed this theoretical concept. And, at the present times it is widely accepted. We analyze the quantum theory of antisymmetric tensor fields with taking into account mass dimensions of notoph and photon. It appears to be possible to describe both photon and notoph degrees of freedom on the basis of the modified Bargmann-Wigner formalism for the symmetric second-rank spinor. Next, we proceed to derive equations for the symmetric tensor of the second rank on the basis of the Bargmann-Wigner formalism in a straightforward way. The symmetric multispinor of the fourth rank is used. It is constructed out of the Dirac 4-spinors. Due to serious problems with the interpretation of the results obtained on using the standard procedure we generalize it and obtain the spin-2 relativistic equations, which are consistent with the general relativity. The importance of the 4-vector field (and its gauge part) is pointed out. Thus, we present the full theory which contains photon, notoph (the Kalb-Ramond field) and the graviton. The relations of this theory with the higher spin theories are established. In fact, we deduced the gravitational field equations from relativistic quantum mechanics. We estimate possible interactions, fermion-notoph, graviton-notoph, photon-notoph. PACS number: 03.65.Pm, 04.50.-h, 11.30.Cp

[ { "created": "Thu, 22 Aug 2013 02:33:32 GMT", "version": "v1" }, { "created": "Sun, 16 Nov 2014 18:52:04 GMT", "version": "v2" } ]

2017-03-09

[ [ "Dvoeglazov", "Valeriy V.", "", "UAZ" ] ]

In the sixties Ogievetskii and Polubarinov proposed the concept of a notoph, whose helicity properties are complementary to those of a photon. Later, Kalb and Ramond (and others) developed this theoretical concept. And, at the present times it is widely accepted. We analyze the quantum theory of antisymmetric tensor fields with taking into account mass dimensions of notoph and photon. It appears to be possible to describe both photon and notoph degrees of freedom on the basis of the modified Bargmann-Wigner formalism for the symmetric second-rank spinor. Next, we proceed to derive equations for the symmetric tensor of the second rank on the basis of the Bargmann-Wigner formalism in a straightforward way. The symmetric multispinor of the fourth rank is used. It is constructed out of the Dirac 4-spinors. Due to serious problems with the interpretation of the results obtained on using the standard procedure we generalize it and obtain the spin-2 relativistic equations, which are consistent with the general relativity. The importance of the 4-vector field (and its gauge part) is pointed out. Thus, we present the full theory which contains photon, notoph (the Kalb-Ramond field) and the graviton. The relations of this theory with the higher spin theories are established. In fact, we deduced the gravitational field equations from relativistic quantum mechanics. We estimate possible interactions, fermion-notoph, graviton-notoph, photon-notoph. PACS number: 03.65.Pm, 04.50.-h, 11.30.Cp

9.682209

9.631727

9.51094

8.799979

9.197329

9.97633

9.510807

9.308921

9.049165

10.152603

9.207996

9.137174

9.038047

8.959613

8.946461

8.947767

9.02883

8.806773

8.931094

9.046883

9.021984

hep-th/0507144

Augusto Sagnotti

D. Francia (U. Roma Tre and INFN), A. Sagnotti (U. Roma "Tor Vergata" and INFN)

Minimal Local Lagrangians for Higher-Spin Geometry

14 pages, Latex. Notation clarified

Phys.Lett. B624 (2005) 93-104

10.1016/j.physletb.2005.08.002

RM3-TH/05-4, ROM2F-05/13

hep-th

null

The Fronsdal Lagrangians for free totally symmetric rank-s tensors rest on suitable trace constraints for their gauge parameters and gauge fields. Only when these constraints are removed, however, the resulting equations reflect the expected free higher-spin geometry. We show that geometric equations, in both their local and non-local forms, can be simply recovered from local Lagrangians with only two additional fields, a rank-(s-3) compensator and a rank-(s-4) Lagrange multiplier. In a similar fashion, we show that geometric equations for unconstrained rank-n totally symmetric spinor-tensors can be simply recovered from local Lagrangians with only two additional spinor-tensors, a rank-(n-2) compensator and a rank-(n-3) Lagrange multiplier.

[ { "created": "Thu, 14 Jul 2005 18:19:57 GMT", "version": "v1" }, { "created": "Fri, 15 Jul 2005 16:58:36 GMT", "version": "v2" } ]

2009-11-11

[ [ "Francia", "D.", "", "U. Roma Tre and INFN" ], [ "Sagnotti", "A.", "", "U. Roma \"Tor Vergata\"\n and INFN" ] ]

The Fronsdal Lagrangians for free totally symmetric rank-s tensors rest on suitable trace constraints for their gauge parameters and gauge fields. Only when these constraints are removed, however, the resulting equations reflect the expected free higher-spin geometry. We show that geometric equations, in both their local and non-local forms, can be simply recovered from local Lagrangians with only two additional fields, a rank-(s-3) compensator and a rank-(s-4) Lagrange multiplier. In a similar fashion, we show that geometric equations for unconstrained rank-n totally symmetric spinor-tensors can be simply recovered from local Lagrangians with only two additional spinor-tensors, a rank-(n-2) compensator and a rank-(n-3) Lagrange multiplier.

7.730586

6.59492

7.673299

6.715239

7.732269

7.571839

6.801076

6.666087

6.862421

9.008617

6.760609

6.461895

6.671403

6.590869

6.769131

6.611408

6.322966

6.514782

6.564026

6.816651

6.761384

1502.01378

Masato Nozawa

Hideo Kodama and Masato Nozawa

Inflation in maximal gauged supergravities

59 pages, 3 tables, 17 figures; v2: figures displayed correctly; v3: minor modifications, version to appear in JCAP

JCAP 1505 (2015) 05, 028

10.1088/1475-7516/2015/05/028

KEK-TH-1793,KEK-Cosmo-161,IFUM-1035-FT

hep-th astro-ph.CO gr-qc

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

We discuss the dynamics of multiple scalar fields and the possibility of realistic inflation in the maximal gauged supergravity. In this paper, we address this problem in the framework of recently discovered 1-parameter deformation of ${\rm SO}(4,4)$ and ${\rm SO}(5,3)$ dyonic gaugings, for which the base point of the scalar manifold corresponds to an unstable de Sitter critical point. In the gauge-field frame where the embedding tensor takes the value in the sum of the {\bf 36} and {\bf 36'} representations of ${\rm SL}(8)$, we present a scheme that allows us to derive an analytic expression for the scalar potential. With the help of this formalism, we derive the full potential and gauge coupling functions in analytic forms for the ${\rm SO}(3)\times {\rm SO}(3)$-invariant subsectors of ${\rm SO}(4,4)$ and ${\rm SO}(5,3)$ gaugings, and argue that there exist no new critical points in addition to those discovered so far. For the ${\rm SO}(4,4)$ gauging, we also study the behavior of 6-dimensional scalar fields in this sector near the Dall'Agata-Inverso de Sitter critical point at which the negative eigenvalue of the scalar mass square with the largest modulus goes to zero as the deformation parameter approaches a critical value. We find that when the deformation parameter is taken sufficiently close to the critical value, inflation lasts more than 60 e-folds even if the initial point of the inflaton allows an $O(0.1)$ deviation in Planck units from the Dall'Agata-Inverso critical point. It turns out that the spectral index $n_s$ of the curvature perturbation at the time of the 60 e-folding number is always about 0.96 and within the $1\sigma$ range $n_s=0.9639\pm0.0047$ obtained by Planck, irrespective of the value of the $\eta$ parameter at the critical saddle point. The tensor-scalar ratio predicted by this model is around $10^{-3}$ and is close to the value in the Starobinsky model.

[ { "created": "Wed, 4 Feb 2015 22:12:20 GMT", "version": "v1" }, { "created": "Sun, 8 Feb 2015 14:51:05 GMT", "version": "v2" }, { "created": "Tue, 12 May 2015 12:51:42 GMT", "version": "v3" } ]

2015-05-27

[ [ "Kodama", "Hideo", "" ], [ "Nozawa", "Masato", "" ] ]

We discuss the dynamics of multiple scalar fields and the possibility of realistic inflation in the maximal gauged supergravity. In this paper, we address this problem in the framework of recently discovered 1-parameter deformation of ${\rm SO}(4,4)$ and ${\rm SO}(5,3)$ dyonic gaugings, for which the base point of the scalar manifold corresponds to an unstable de Sitter critical point. In the gauge-field frame where the embedding tensor takes the value in the sum of the {\bf 36} and {\bf 36'} representations of ${\rm SL}(8)$, we present a scheme that allows us to derive an analytic expression for the scalar potential. With the help of this formalism, we derive the full potential and gauge coupling functions in analytic forms for the ${\rm SO}(3)\times {\rm SO}(3)$-invariant subsectors of ${\rm SO}(4,4)$ and ${\rm SO}(5,3)$ gaugings, and argue that there exist no new critical points in addition to those discovered so far. For the ${\rm SO}(4,4)$ gauging, we also study the behavior of 6-dimensional scalar fields in this sector near the Dall'Agata-Inverso de Sitter critical point at which the negative eigenvalue of the scalar mass square with the largest modulus goes to zero as the deformation parameter approaches a critical value. We find that when the deformation parameter is taken sufficiently close to the critical value, inflation lasts more than 60 e-folds even if the initial point of the inflaton allows an $O(0.1)$ deviation in Planck units from the Dall'Agata-Inverso critical point. It turns out that the spectral index $n_s$ of the curvature perturbation at the time of the 60 e-folding number is always about 0.96 and within the $1\sigma$ range $n_s=0.9639\pm0.0047$ obtained by Planck, irrespective of the value of the $\eta$ parameter at the critical saddle point. The tensor-scalar ratio predicted by this model is around $10^{-3}$ and is close to the value in the Starobinsky model.

6.004412

6.743058

6.847373

6.236259

6.667728

6.875883

6.590604

6.279316

6.230488

7.023678

6.316934

6.055144

6.241828

6.049181

6.22227

6.197586

6.050489

6.062195

6.144153

6.207198

6.130372

hep-th/0611131

Damiano Anselmi

Damiano Anselmi and Milenko Halat

Renormalizable acausal theories of classical gravity coupled with interacting quantum fields

36 pages; v2: CQG proof-corrected version

Class.Quant.Grav.24:1927-1954,2007

10.1088/0264-9381/24/8/003

IFUP-TH 2006/24

hep-th

null

We prove the renormalizability of various theories of classical gravity coupled with interacting quantum fields. The models contain vertices with dimensionality greater than four, a finite number of matter operators and a finite or reduced number of independent couplings. An interesting class of models is obtained from ordinary power-counting renormalizable theories, letting the couplings depend on the scalar curvature R of spacetime. The divergences are removed without introducing higher-derivative kinetic terms in the gravitational sector. The metric tensor has a non-trivial running, even if it is not quantized. The results are proved applying a certain map that converts classical instabilities, due to higher derivatives, into classical violations of causality, whose effects become observable at sufficiently high energies. We study acausal Einstein-Yang-Mills theory with an R-dependent gauge coupling in detail. We derive all-order formulas for the beta functions of the dimensionality-six gravitational vertices induced by renormalization. Such beta functions are related to the trace-anomaly coefficients of the matter subsector.

[ { "created": "Sat, 11 Nov 2006 17:47:06 GMT", "version": "v1" }, { "created": "Mon, 2 Apr 2007 14:13:44 GMT", "version": "v2" } ]

2008-11-26

[ [ "Anselmi", "Damiano", "" ], [ "Halat", "Milenko", "" ] ]

We prove the renormalizability of various theories of classical gravity coupled with interacting quantum fields. The models contain vertices with dimensionality greater than four, a finite number of matter operators and a finite or reduced number of independent couplings. An interesting class of models is obtained from ordinary power-counting renormalizable theories, letting the couplings depend on the scalar curvature R of spacetime. The divergences are removed without introducing higher-derivative kinetic terms in the gravitational sector. The metric tensor has a non-trivial running, even if it is not quantized. The results are proved applying a certain map that converts classical instabilities, due to higher derivatives, into classical violations of causality, whose effects become observable at sufficiently high energies. We study acausal Einstein-Yang-Mills theory with an R-dependent gauge coupling in detail. We derive all-order formulas for the beta functions of the dimensionality-six gravitational vertices induced by renormalization. Such beta functions are related to the trace-anomaly coefficients of the matter subsector.

10.585762

11.963007

11.961547

11.184427

10.894969

11.85051

12.031596

11.474678

11.23505

13.005905

11.29365

10.976001

11.090214

11.053295

10.668202

10.804348

10.869813

10.778308

10.891953

11.506443

10.632293

1509.00774

Alex Buchel

Alex Buchel, Michael Buchel

On stability of nonthermal states in strongly coupled gauge theories

17 pages, 2 figures; typos corrected and references added

null

INT-PUB-15-045

hep-th

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

Low-energy thermal equilibrium states of strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory on a three-sphere are unstable with respect to fluctuations breaking the global $SO(6)$ R-symmetry. Using the gauge theory/gravity correspondence, a large class of initial conditions in the R-symmetry singlet sector of the theory was been identified that fail to thermalize \cite{Buchel:2013uba,Balasubramanian:2014cja}. A toy model realization of such states is provided by {\it boson stars}, a stationary gravitational configurations supported by a complex scalar field in $AdS_5$-gravity. Motivated by the SYM example, we extend the boson star toy model to include the global $SO(6)$ R-symmetry. We show that sufficient light boson stars in the R-symmetry singlet sector are stable with respect to linearized fluctuations. As the mass of the boson star increases, they do suffer tachyonic instability associated with their localization on $S^5$. This is opposite to the behaviour of small black holes (dual to equilibrium states of ${\cal N}=4$ SYM) in global $AdS_5$: the latter develop tachyonic instability as they become sufficiently light. Based on analogy with light boson stars, we expect that the R-symmetry singlet nonthermal states in strongly coupled gauge theories, represented by the quasiperiodic solutions of \cite{Balasubramanian:2014cja}, are stable with respect to linearized fluctuations breaking the R-symmetry.

[ { "created": "Wed, 2 Sep 2015 16:33:16 GMT", "version": "v1" }, { "created": "Mon, 7 Dec 2015 14:24:29 GMT", "version": "v2" } ]

2015-12-08

[ [ "Buchel", "Alex", "" ], [ "Buchel", "Michael", "" ] ]

Low-energy thermal equilibrium states of strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory on a three-sphere are unstable with respect to fluctuations breaking the global $SO(6)$ R-symmetry. Using the gauge theory/gravity correspondence, a large class of initial conditions in the R-symmetry singlet sector of the theory was been identified that fail to thermalize \cite{Buchel:2013uba,Balasubramanian:2014cja}. A toy model realization of such states is provided by {\it boson stars}, a stationary gravitational configurations supported by a complex scalar field in $AdS_5$-gravity. Motivated by the SYM example, we extend the boson star toy model to include the global $SO(6)$ R-symmetry. We show that sufficient light boson stars in the R-symmetry singlet sector are stable with respect to linearized fluctuations. As the mass of the boson star increases, they do suffer tachyonic instability associated with their localization on $S^5$. This is opposite to the behaviour of small black holes (dual to equilibrium states of ${\cal N}=4$ SYM) in global $AdS_5$: the latter develop tachyonic instability as they become sufficiently light. Based on analogy with light boson stars, we expect that the R-symmetry singlet nonthermal states in strongly coupled gauge theories, represented by the quasiperiodic solutions of \cite{Balasubramanian:2014cja}, are stable with respect to linearized fluctuations breaking the R-symmetry.

6.047863

6.868296

6.577426

6.332391

6.464121

6.639607

6.504021

6.134791

5.929688

6.84595

6.06121

6.016444

5.897111

5.92279

6.10428

6.084515

5.957791

6.076796

5.827099

6.020358

5.971383

1101.4174

Max Atkin

Max R Atkin, Georgios Giasemidis and John F Wheater

Continuum Random Combs and Scale Dependent Spectral Dimension

27 pages, 2 figures. Typos and references corrected, new figure 1

J.Phys.A44:265001,2011

10.1088/1751-8113/44/26/265001

OUTP-10-31P

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

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

Numerical computations have suggested that in causal dynamical triangulation models of quantum gravity the effective dimension of spacetime in the UV is lower than in the IR. In this paper we develop a simple model based on previous work on random combs, which share some of the properties of CDT, in which this effect can be shown to occur analytically. We construct a definition for short and long distance spectral dimensions and show that the random comb models exhibit scale dependent spectral dimension defined in this way. We also observe that a hierarchy of apparent spectral dimensions may be obtained in the cross-over region between UV and IR regimes for suitable choices of the continuum variables. Our main result is valid for a wide class of tooth length distributions thereby extending previous work on random combs by Durhuus et al.

[ { "created": "Fri, 21 Jan 2011 16:27:04 GMT", "version": "v1" }, { "created": "Tue, 5 Apr 2011 10:41:58 GMT", "version": "v2" } ]

2011-06-08

[ [ "Atkin", "Max R", "" ], [ "Giasemidis", "Georgios", "" ], [ "Wheater", "John F", "" ] ]

Numerical computations have suggested that in causal dynamical triangulation models of quantum gravity the effective dimension of spacetime in the UV is lower than in the IR. In this paper we develop a simple model based on previous work on random combs, which share some of the properties of CDT, in which this effect can be shown to occur analytically. We construct a definition for short and long distance spectral dimensions and show that the random comb models exhibit scale dependent spectral dimension defined in this way. We also observe that a hierarchy of apparent spectral dimensions may be obtained in the cross-over region between UV and IR regimes for suitable choices of the continuum variables. Our main result is valid for a wide class of tooth length distributions thereby extending previous work on random combs by Durhuus et al.

11.952978

13.15

11.651949

11.660405

11.134256

13.26928

12.732528

11.686105

12.175575

13.054707

10.938148

11.285643

11.357765

11.563583

11.368466

11.659026

10.932105

11.69458

10.913149

11.863533

11.494943

1705.08472

Eric R. Sharpe

Z. Chen, J. Guo, E. Sharpe, R. Wu

More Toda-like (0,2) mirrors

49 pages, LaTeX; v2: references added

JHEP 1708 (2017) 079

10.1007/JHEP08(2017)079

null

hep-th

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

In this paper, we extend our previous work to construct (0,2) Toda-like mirrors to A/2-twisted theories on more general spaces, as part of a program of understanding (0,2) mirror symmetry. Specifically, we propose (0,2) mirrors to GLSMs on toric del Pezzo surfaces and Hirzebruch surfaces with deformations of the tangent bundle. We check the results by comparing correlation functions, global symmetries, as well as geometric blowdowns with the corresponding (0,2) Toda-like mirrors. We also briefly discuss Grassmannian manifolds.

[ { "created": "Tue, 23 May 2017 18:36:52 GMT", "version": "v1" }, { "created": "Wed, 14 Jun 2017 12:20:27 GMT", "version": "v2" } ]

2017-08-31

[ [ "Chen", "Z.", "" ], [ "Guo", "J.", "" ], [ "Sharpe", "E.", "" ], [ "Wu", "R.", "" ] ]

In this paper, we extend our previous work to construct (0,2) Toda-like mirrors to A/2-twisted theories on more general spaces, as part of a program of understanding (0,2) mirror symmetry. Specifically, we propose (0,2) mirrors to GLSMs on toric del Pezzo surfaces and Hirzebruch surfaces with deformations of the tangent bundle. We check the results by comparing correlation functions, global symmetries, as well as geometric blowdowns with the corresponding (0,2) Toda-like mirrors. We also briefly discuss Grassmannian manifolds.

8.851911

8.778327

10.067211

8.447648

9.137747

8.101157

8.002371

8.276601

8.361179

10.443419

7.869514

7.959118

8.906889

8.16192

8.014584

7.899974

7.847608

7.675169

7.761286

8.927103

7.696369

hep-th/9501045

K. S. Soh

Hak-Soo Shin and Kwang-Sup Soh

Black Hole Formation by Sine-Gordon Solitons in Two-dimensional Dilaton Gravity

11 pages, no figures, revtex

Phys.Rev. D52 (1995) 981-984

10.1103/PhysRevD.52.981

null

hep-th

null

The CGHS model of two-dimensional dilaton gravity coupled to a sine-Gordon matter field is considered. The theory is exactly solvable classically, and the solutions of a kink and two-kink type solitons are studied in connection with black hole formation.

[ { "created": "Fri, 13 Jan 1995 17:50:06 GMT", "version": "v1" } ]

2009-10-28

[ [ "Shin", "Hak-Soo", "" ], [ "Soh", "Kwang-Sup", "" ] ]

The CGHS model of two-dimensional dilaton gravity coupled to a sine-Gordon matter field is considered. The theory is exactly solvable classically, and the solutions of a kink and two-kink type solitons are studied in connection with black hole formation.

15.808501

8.792631

10.942854

9.468805

8.705494

7.615758

9.359432

8.777014

8.688327

11.493431

10.079892

10.470944

10.399374

9.875062

9.725772

9.767782

9.667929

9.518736

10.321342

9.992949

10.667007

1412.0493

Giacomo Rosati

Jerzy Kowalski-Glikman and Giacomo Rosati

Multi-particle systems in $\kappa$-Poincar\'e inspired by 2+1D gravity

In this new version the discussion of our results has been improved. Some parts of the manuscript have been extended. The title and abstract have been slightly modified

Phys. Rev. D 91, 084061 (2015)

10.1103/PhysRevD.91.084061

null

hep-th gr-qc

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

Inspired by a Chern-Simons description of 2+1D gravity coupled to point particles we propose a new Lagrangian of a multiparticle system living in $\kappa$-Minkowski/$\kappa$-Poincar\'e spacetime. We derive the dynamics of interacting particles with $\kappa$-momentum space, alternative to the one proposed in the "principle of relative locality" literature. The model that we obtain takes into account of the nonlocal topological interactions between the particles, so that the effective multi-particle action is not a sum of their free actions. In this construction the locality of particle processes is naturally implemented, even for distant observers. In particular a particle process is characterized by a local deformed energy-momentum conservation law. The spacetime transformations are generated by total charges/generators for the composite particle system, and leave unaffected the locality of individual particle processes.

[ { "created": "Mon, 1 Dec 2014 14:37:16 GMT", "version": "v1" }, { "created": "Wed, 15 Apr 2015 08:31:52 GMT", "version": "v2" } ]

2015-05-05

[ [ "Kowalski-Glikman", "Jerzy", "" ], [ "Rosati", "Giacomo", "" ] ]

Inspired by a Chern-Simons description of 2+1D gravity coupled to point particles we propose a new Lagrangian of a multiparticle system living in $\kappa$-Minkowski/$\kappa$-Poincar\'e spacetime. We derive the dynamics of interacting particles with $\kappa$-momentum space, alternative to the one proposed in the "principle of relative locality" literature. The model that we obtain takes into account of the nonlocal topological interactions between the particles, so that the effective multi-particle action is not a sum of their free actions. In this construction the locality of particle processes is naturally implemented, even for distant observers. In particular a particle process is characterized by a local deformed energy-momentum conservation law. The spacetime transformations are generated by total charges/generators for the composite particle system, and leave unaffected the locality of individual particle processes.

11.639215

10.996227

11.313644

10.799632

11.286387

10.893702

10.902006

10.926604

11.192817

12.137496

10.913662

10.813568

10.762185

10.624217

10.609902

10.793001

10.884529

10.735924

10.808081

11.35473

10.72779

1709.04745

Danijel Pikuti\'c

Daniel Meljanac, Stjepan Meljanac, Danijel Pikuti\'c

Families of vector-like deformed relativistic quantum phase spaces, twists and symmetries

20 pages, version accepted for publication in EPJC

Eur. Phys. J. C (2017) 77: 830

10.1140/epjc/s10052-017-5373-9

null

hep-th

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

Families of vector-like deformed relativistic quantum phase spaces and corresponding realizations are analyzed. Method for general construction of star product is presented. Corresponding twist, expressed in terms of phase space coordinates, in Hopf algebroid sense is presented. General linear realizations are considered and corresponding twists, in terms of momenta and Poincar\'e-Weyl generators or $\mathfrak{gl}(n)$ generators, are constructed and R-matrix is discussed. Classification of linear realizations leading to vector-like deformed phase spaces is given. There are 3 types of spaces: $i)$ commutative spaces, $ii)$ $\kappa$-Minkowski spaces and $iii)$ $\kappa$-Snyder spaces. Corresponding star products are $i)$ associative and commutative (but non-local), $ii)$ associative and non-commutative and $iii)$ non-associative and non-commutative, respectively. Twisted symmetry algebras are considered. Transposed twists and left-right dual algebras are presented. Finally, some physical applications are discussed.

[ { "created": "Thu, 14 Sep 2017 12:57:58 GMT", "version": "v1" }, { "created": "Mon, 11 Dec 2017 14:45:16 GMT", "version": "v2" } ]

2017-12-12

[ [ "Meljanac", "Daniel", "" ], [ "Meljanac", "Stjepan", "" ], [ "Pikutić", "Danijel", "" ] ]

Families of vector-like deformed relativistic quantum phase spaces and corresponding realizations are analyzed. Method for general construction of star product is presented. Corresponding twist, expressed in terms of phase space coordinates, in Hopf algebroid sense is presented. General linear realizations are considered and corresponding twists, in terms of momenta and Poincar\'e-Weyl generators or $\mathfrak{gl}(n)$ generators, are constructed and R-matrix is discussed. Classification of linear realizations leading to vector-like deformed phase spaces is given. There are 3 types of spaces: $i)$ commutative spaces, $ii)$ $\kappa$-Minkowski spaces and $iii)$ $\kappa$-Snyder spaces. Corresponding star products are $i)$ associative and commutative (but non-local), $ii)$ associative and non-commutative and $iii)$ non-associative and non-commutative, respectively. Twisted symmetry algebras are considered. Transposed twists and left-right dual algebras are presented. Finally, some physical applications are discussed.

6.681088

7.323983

7.71867

7.185526

7.825091

7.098683

7.323151

7.166143

7.044153

8.357206

7.003844

6.970158

6.948061

6.877307

6.863918

6.835517

6.942055

6.688542

6.936245

7.221817

7.137959

hep-th/0603034

Mikhail Plyushchay

Mikhail S. Plyushchay

Anyons and the Landau problem in the noncommutative plane

6 pages, typos corrected. Based on the talks presented at the International Workshop "Supersymmetries and Quantum Symmetries", JINR, Dubna, Russia, 2005 and Summer Mini-Workshop in Theoretical Physics, CECS, Valdivia, Chile, 2006

null

hep-th

null

The Landau problem in the noncommutative plane is discussed in the context of realizations of the two-fold centrally extended planar Galilei group and the anyon theory.

[ { "created": "Mon, 6 Mar 2006 20:58:20 GMT", "version": "v1" }, { "created": "Wed, 8 Mar 2006 15:14:54 GMT", "version": "v2" } ]

2007-05-23

[ [ "Plyushchay", "Mikhail S.", "" ] ]

The Landau problem in the noncommutative plane is discussed in the context of realizations of the two-fold centrally extended planar Galilei group and the anyon theory.

15.925228

8.480357

11.82889

8.713856

8.778818

8.746459

8.4911

8.462765

8.286254

15.095731

8.714362

10.564939

14.126897

11.413617

11.00445

11.604306

10.657624

12.027558

11.302444

13.457758

10.60683

1509.08486

Jakob Salzer

Daniel Grumiller, Jakob Salzer, and Dmitri Vassilevich

$AdS_2$ holography is (non-)trivial for (non-)constant dilaton

added a reference; corrected typos

JHEP12(2015)015

10.1007/JHEP12(2015)015

TUW-15-20

hep-th gr-qc

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

We study generic two-dimensional dilaton gravity with a Maxwell field and prove its triviality for constant dilaton boundary conditions, despite of the appearance of a Virasoro algebra with non-zero central charge. We do this by calculating the canonical boundary charges, which turn out to be trivial, and by calculating the quantum gravity partition function, which turns out to be unity. We show that none of the following modifications changes our conclusions: looser boundary conditions, non-linear interactions of the Maxwell field with the dilaton, inclusion of higher spin fields, inclusion of generic gauge fields. Finally, we consider specifically the charged Jackiw--Teitelboim model, whose holographic study was pioneered by Hartman and Strominger, and show that it is non-trivial for certain linear dilaton boundary conditions. We calculate the entropy from the Euclidean path integral, using Wald's method and exploiting the chiral Cardy formula. The macroscopic and microscopic results for entropy agree with each other.

[ { "created": "Mon, 28 Sep 2015 20:17:31 GMT", "version": "v1" }, { "created": "Fri, 9 Oct 2015 16:28:42 GMT", "version": "v2" } ]

2015-12-04

[ [ "Grumiller", "Daniel", "" ], [ "Salzer", "Jakob", "" ], [ "Vassilevich", "Dmitri", "" ] ]

We study generic two-dimensional dilaton gravity with a Maxwell field and prove its triviality for constant dilaton boundary conditions, despite of the appearance of a Virasoro algebra with non-zero central charge. We do this by calculating the canonical boundary charges, which turn out to be trivial, and by calculating the quantum gravity partition function, which turns out to be unity. We show that none of the following modifications changes our conclusions: looser boundary conditions, non-linear interactions of the Maxwell field with the dilaton, inclusion of higher spin fields, inclusion of generic gauge fields. Finally, we consider specifically the charged Jackiw--Teitelboim model, whose holographic study was pioneered by Hartman and Strominger, and show that it is non-trivial for certain linear dilaton boundary conditions. We calculate the entropy from the Euclidean path integral, using Wald's method and exploiting the chiral Cardy formula. The macroscopic and microscopic results for entropy agree with each other.

9.744938

9.015888

10.239308

9.563807

9.411019

9.959967

9.891248

9.448406

9.76905

11.087111

9.330709

9.677487

9.717898

9.586983

9.624343

9.91319

9.664835

9.753215

9.810061

9.702806

9.649681

hep-th/0110122

Dantao Peng

Bo-Yu Hou, Dan-Tao Peng, Kang-Jie Shi, Rui-Hong Yue

Solitons on Noncommutative Torus as Elliptic Algebras and Elliptic Models

26 pages, plain latex, no figure. Rewritten version. Some references added

null

hep-th

null

For the noncommutative torus ${\cal T}$, in case of the N.C. parameter $\theta = \frac{Z}{n}$ and the area of ${\cal T}$ is an integer, we construct the basis of Hilbert space ${\cal H}_n$ in terms of $\theta$ functions of the positions $z_i$ of $n$ solitons. The loop wrapping around the torus generates the algebra ${\cal A}_n$. We show that ${\cal A}_n$ is isomorphic to the $Z_n \times Z_n$ Heisenberg group on $\theta$ functions. We find the explicit form for the local operators, which is the generators $g$ of an elliptic $su(n)$, and transforms covariantly by the global gauge transformation of the Wilson loop in ${\cal A}_n$. By acting on ${\cal H}_n$ we establish the isomorphism of ${\cal A}_n$ and $g$. Then it is easy to give the projection operators corresponding to the solitons and the ABS construction for generating solitons. We embed this $g$ into the $L$-matrix of the elliptic Gaudin and C.M. models to give the dynamics. For $\theta$ generic case, we introduce the crossing parameter $\eta$ related with $\theta$ and the modulus of ${\cal T}$. The dynamics of solitons is determined by the transfer matrix $T$ of the elliptic quantum group ${\cal A}_{\tau, \eta}$, equivalently by the elliptic Ruijsenaars operators $M$. The eigenfunctions of $T$ found by Bethe ansatz appears to be twisted by $\eta$.

[ { "created": "Mon, 15 Oct 2001 04:24:46 GMT", "version": "v1" }, { "created": "Tue, 30 Oct 2001 05:32:24 GMT", "version": "v2" }, { "created": "Fri, 19 Apr 2002 08:34:31 GMT", "version": "v3" } ]

2016-06-30

[ [ "Hou", "Bo-Yu", "" ], [ "Peng", "Dan-Tao", "" ], [ "Shi", "Kang-Jie", "" ], [ "Yue", "Rui-Hong", "" ] ]

For the noncommutative torus ${\cal T}$, in case of the N.C. parameter $\theta = \frac{Z}{n}$ and the area of ${\cal T}$ is an integer, we construct the basis of Hilbert space ${\cal H}_n$ in terms of $\theta$ functions of the positions $z_i$ of $n$ solitons. The loop wrapping around the torus generates the algebra ${\cal A}_n$. We show that ${\cal A}_n$ is isomorphic to the $Z_n \times Z_n$ Heisenberg group on $\theta$ functions. We find the explicit form for the local operators, which is the generators $g$ of an elliptic $su(n)$, and transforms covariantly by the global gauge transformation of the Wilson loop in ${\cal A}_n$. By acting on ${\cal H}_n$ we establish the isomorphism of ${\cal A}_n$ and $g$. Then it is easy to give the projection operators corresponding to the solitons and the ABS construction for generating solitons. We embed this $g$ into the $L$-matrix of the elliptic Gaudin and C.M. models to give the dynamics. For $\theta$ generic case, we introduce the crossing parameter $\eta$ related with $\theta$ and the modulus of ${\cal T}$. The dynamics of solitons is determined by the transfer matrix $T$ of the elliptic quantum group ${\cal A}_{\tau, \eta}$, equivalently by the elliptic Ruijsenaars operators $M$. The eigenfunctions of $T$ found by Bethe ansatz appears to be twisted by $\eta$.

8.901913

7.872857

9.545187

8.259754

7.580282

7.28235

7.614473

7.919902

8.015113

10.218777

8.060318

8.175138

8.801922

8.311979

8.210503

8.211601

8.172655

8.416499

8.484582

8.714568

8.461534

1401.5077

Jerome P. Gauntlett

Aristomenis Donos and Jerome P. Gauntlett

Novel metals and insulators from holography

30 pages, 4 figures. Very minor changes - version published in JHEP

null

10.1007/JHEP06(2014)007

Imperial/TP/2014/JG/01

hep-th cond-mat.str-el gr-qc

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

Using simple holographic models in $D=4$ spacetime dimensions we construct black hole solutions dual to $d=3$ CFTs at finite charge density with a Q-lattice deformation. At zero temperature we find new ground state solutions with broken translation invariance, either in one or both spatial directions, which exhibit insulating or metallic behaviour depending on the parameters of the holographic theory. For low temperatures and small frequencies, the real part of the optical conductivity has a power-law behaviour, with the exponent determined by the ground state. We also obtain an expression for the the DC conductivity at finite temperature in terms of horizon data of the black hole solutions.

[ { "created": "Mon, 20 Jan 2014 21:00:22 GMT", "version": "v1" }, { "created": "Tue, 11 Mar 2014 17:11:27 GMT", "version": "v2" }, { "created": "Mon, 2 Jun 2014 12:56:53 GMT", "version": "v3" } ]

2015-06-18

[ [ "Donos", "Aristomenis", "" ], [ "Gauntlett", "Jerome P.", "" ] ]

Using simple holographic models in $D=4$ spacetime dimensions we construct black hole solutions dual to $d=3$ CFTs at finite charge density with a Q-lattice deformation. At zero temperature we find new ground state solutions with broken translation invariance, either in one or both spatial directions, which exhibit insulating or metallic behaviour depending on the parameters of the holographic theory. For low temperatures and small frequencies, the real part of the optical conductivity has a power-law behaviour, with the exponent determined by the ground state. We also obtain an expression for the the DC conductivity at finite temperature in terms of horizon data of the black hole solutions.

7.876292

5.972227

8.066352

6.099912

6.617158

6.3423

6.239611

5.917147

6.269669

9.494362

6.449705

7.046804

7.692865

6.998441

7.135902

7.118023

7.088991

6.981026

7.069393

7.76092

7.102549

1210.5238

Daniel Roberts

Daniel A. Roberts and Douglas Stanford

On memory in exponentially expanding spaces

30 pages plus appendices, with 6 figures. Journal version (JHEP). Presentation clarified, sections rearranged, and references added

null

10.1007/JHEP06(2013)042

MIT-CTP 4404; SU-ITP-12/31

hep-th

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

We examine the degree to which fluctuating dynamics on exponentially expanding spaces remember initial conditions. In de Sitter space, the global late-time configuration of a free scalar field always contains information about early fluctuations. By contrast, fluctuations near the boundary of Euclidean Anti-de Sitter may or may not remember conditions in the center, with a transition at \Delta=d/2. We connect these results to literature about statistical mechanics on trees and make contact with the observation by Anninos and Denef that the configuration space of a massless dS field exhibits ultrametricity. We extend their analysis to massive fields, finding that preference for isosceles triangles persists as long as \Delta_- < d/4.

[ { "created": "Thu, 18 Oct 2012 19:59:13 GMT", "version": "v1" }, { "created": "Tue, 28 May 2013 20:00:03 GMT", "version": "v2" } ]

2015-06-11

[ [ "Roberts", "Daniel A.", "" ], [ "Stanford", "Douglas", "" ] ]

We examine the degree to which fluctuating dynamics on exponentially expanding spaces remember initial conditions. In de Sitter space, the global late-time configuration of a free scalar field always contains information about early fluctuations. By contrast, fluctuations near the boundary of Euclidean Anti-de Sitter may or may not remember conditions in the center, with a transition at \Delta=d/2. We connect these results to literature about statistical mechanics on trees and make contact with the observation by Anninos and Denef that the configuration space of a massless dS field exhibits ultrametricity. We extend their analysis to massive fields, finding that preference for isosceles triangles persists as long as \Delta_- < d/4.

19.524214

22.118572

23.954205

17.733671

21.708775

18.270052

18.643402

18.671835

19.175673

22.706411

17.522284

18.094696

19.97583

19.164076

18.21994

18.473364

18.167601

18.408684

18.483852

20.643854

17.38098

1110.2886

Yihao Yin

Mees de Roo, Giuseppe Dibitetto, Yihao Yin

Critical points of maximal D=8 gauged supergravities

14 pages. v2: minor changes - published version

JHEP 1201:029,2012

10.1007/JHEP01(2012)029

null

hep-th

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

We study the general deformations of maximal eight-dimensional supergravity by using the embedding tensor approach. The scalar potential induced by these gaugings is determined. Subsequently, by combining duality covariance arguments and algebraic geometry techniques, we find the complete set of critical points of the scalar potential. Remarkably, up to SO(2) X SO(3) rotations there turns out to be a unique theory admitting extrema. The gauge group of the theory is CSO(2,0,1).

[ { "created": "Thu, 13 Oct 2011 10:26:16 GMT", "version": "v1" }, { "created": "Wed, 11 Jan 2012 15:40:59 GMT", "version": "v2" } ]

2012-01-12

[ [ "de Roo", "Mees", "" ], [ "Dibitetto", "Giuseppe", "" ], [ "Yin", "Yihao", "" ] ]

We study the general deformations of maximal eight-dimensional supergravity by using the embedding tensor approach. The scalar potential induced by these gaugings is determined. Subsequently, by combining duality covariance arguments and algebraic geometry techniques, we find the complete set of critical points of the scalar potential. Remarkably, up to SO(2) X SO(3) rotations there turns out to be a unique theory admitting extrema. The gauge group of the theory is CSO(2,0,1).

11.920652

11.137063

14.196045

10.413499

9.848484

10.083979

9.825879

9.56058

10.002994

16.502224

9.531001

9.799748

11.232888

9.967825

10.465221

10.180445

9.8507

9.603464

10.435357

11.661292

9.980476

2306.11631

Sung-Soo Kim

Hirotaka Hayashi, Sung-Soo Kim, Kimyeong Lee, Futoshi Yagi

Seiberg-Witten curves with O7$^\pm$-planes

v1: 64 pages, 20 figures, v2: published version

JHEP 11 (2023) 178

10.1007/JHEP11(2023)178

null

hep-th

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

We construct Seiberg-Witten curves for 5d $\mathcal{N}=1$ gauge theories whose Type IIB 5-brane configuration involves an O7-plane and discuss an intriguing relation between theories with an O7$^+$-plane and those with an O7$^-$-plane and 8 D7-branes. We claim that 5-brane configurations with an O7$^+$-plane can be effectively understood as 5-brane configurations with a set of an O7$^-$-plane and eight D7-branes with some special tuning of their masses such that the D7-branes are frozen at the O7$^-$-plane. We check this equivalence between SU($N$) gauge theory with a symmetric hypermultiplet and SU($N$) gauge theory with an antisymmetric with 8 fundamentals, and also between SO($2N$) gauge theory and Sp($N$) gauge theory with eight fundamentals. We also compute the Seiberg-Witten curves for non-Lagrangian theories with a symmetric hypermultiplet, which includes the local $\mathbb{P}^2$ theory with an adjoint.

[ { "created": "Tue, 20 Jun 2023 16:00:39 GMT", "version": "v1" }, { "created": "Mon, 4 Dec 2023 16:24:49 GMT", "version": "v2" } ]

2023-12-05

[ [ "Hayashi", "Hirotaka", "" ], [ "Kim", "Sung-Soo", "" ], [ "Lee", "Kimyeong", "" ], [ "Yagi", "Futoshi", "" ] ]

We construct Seiberg-Witten curves for 5d $\mathcal{N}=1$ gauge theories whose Type IIB 5-brane configuration involves an O7-plane and discuss an intriguing relation between theories with an O7$^+$-plane and those with an O7$^-$-plane and 8 D7-branes. We claim that 5-brane configurations with an O7$^+$-plane can be effectively understood as 5-brane configurations with a set of an O7$^-$-plane and eight D7-branes with some special tuning of their masses such that the D7-branes are frozen at the O7$^-$-plane. We check this equivalence between SU($N$) gauge theory with a symmetric hypermultiplet and SU($N$) gauge theory with an antisymmetric with 8 fundamentals, and also between SO($2N$) gauge theory and Sp($N$) gauge theory with eight fundamentals. We also compute the Seiberg-Witten curves for non-Lagrangian theories with a symmetric hypermultiplet, which includes the local $\mathbb{P}^2$ theory with an adjoint.

4.874171

4.544915

5.758473

4.693719

4.747772

4.735761

4.531699

4.539462

4.527682

5.954319

4.629709

4.66282

4.973227

4.743879

4.671275

4.617208

4.622194

4.730883

4.677284

4.745246

4.672929

0704.3985

Ioannis Bakas

I. Bakas, C. Sourdis

Dirichlet sigma models and mean curvature flow

77 pages, 21 figures

JHEP 0706:057,2007

10.1088/1126-6708/2007/06/057

null

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

null

The mean curvature flow describes the parabolic deformation of embedded branes in Riemannian geometry driven by their extrinsic mean curvature vector, which is typically associated to surface tension forces. It is the gradient flow of the area functional, and, as such, it is naturally identified with the boundary renormalization group equation of Dirichlet sigma models away from conformality, to lowest order in perturbation theory. D-branes appear as fixed points of this flow having conformally invariant boundary conditions. Simple running solutions include the paper-clip and the hair-pin (or grim-reaper) models on the plane, as well as scaling solutions associated to rational (p, q) closed curves and the decay of two intersecting lines. Stability analysis is performed in several cases while searching for transitions among different brane configurations. The combination of Ricci with the mean curvature flow is examined in detail together with several explicit examples of deforming curves on curved backgrounds. Some general aspects of the mean curvature flow in higher dimensional ambient spaces are also discussed and obtain consistent truncations to lower dimensional systems. Selected physical applications are mentioned in the text, including tachyon condensation in open string theory and the resistive diffusion of force-free fields in magneto-hydrodynamics.

[ { "created": "Mon, 30 Apr 2007 17:48:53 GMT", "version": "v1" } ]

2009-11-13

[ [ "Bakas", "I.", "" ], [ "Sourdis", "C.", "" ] ]

The mean curvature flow describes the parabolic deformation of embedded branes in Riemannian geometry driven by their extrinsic mean curvature vector, which is typically associated to surface tension forces. It is the gradient flow of the area functional, and, as such, it is naturally identified with the boundary renormalization group equation of Dirichlet sigma models away from conformality, to lowest order in perturbation theory. D-branes appear as fixed points of this flow having conformally invariant boundary conditions. Simple running solutions include the paper-clip and the hair-pin (or grim-reaper) models on the plane, as well as scaling solutions associated to rational (p, q) closed curves and the decay of two intersecting lines. Stability analysis is performed in several cases while searching for transitions among different brane configurations. The combination of Ricci with the mean curvature flow is examined in detail together with several explicit examples of deforming curves on curved backgrounds. Some general aspects of the mean curvature flow in higher dimensional ambient spaces are also discussed and obtain consistent truncations to lower dimensional systems. Selected physical applications are mentioned in the text, including tachyon condensation in open string theory and the resistive diffusion of force-free fields in magneto-hydrodynamics.

16.70289

17.348515

19.26001

16.472641

17.247393

17.668608

18.356016

16.731432

16.720499

20.186728

16.276983

16.090014

16.511795

15.833447

15.789024

15.983994

15.853356

15.359451

15.72733

16.963285

15.722943

hep-th/0210218

Sean A. Hartnoll

Sean A. Hartnoll and Carlos Nunez

Rotating membranes on G_2 manifolds, logarithmic anomalous dimensions and N=1 duality

1+44 pages. Latex. No figures. Minor corrections to make all membrane configurations consistent. One configuration is now noncompact

JHEP 0302 (2003) 049

10.1088/1126-6708/2003/02/049

null

hep-th

null

We show that the $E-S \sim \log S$ behaviour found for long strings rotating on $AdS_5\times S^5$ may be reproduced by membranes rotating on $AdS_4\times S^7$ and on a warped $AdS_5$ M-theory solution. We go on to obtain rotating membrane configurations with the same $E-K \sim \log K$ relation on $G_2$ holonomy backgrounds that are dual to ${\mathcal{N}}=1$ gauge theories in four dimensions. We study membrane configurations on $G_2$ holonomy backgrounds systematically, finding various other Energy-Charge relations. We end with some comments about strings rotating on warped backgrounds.

[ { "created": "Tue, 22 Oct 2002 17:05:09 GMT", "version": "v1" }, { "created": "Fri, 15 Nov 2002 12:51:52 GMT", "version": "v2" } ]

2009-11-07

[ [ "Hartnoll", "Sean A.", "" ], [ "Nunez", "Carlos", "" ] ]

We show that the $E-S \sim \log S$ behaviour found for long strings rotating on $AdS_5\times S^5$ may be reproduced by membranes rotating on $AdS_4\times S^7$ and on a warped $AdS_5$ M-theory solution. We go on to obtain rotating membrane configurations with the same $E-K \sim \log K$ relation on $G_2$ holonomy backgrounds that are dual to ${\mathcal{N}}=1$ gauge theories in four dimensions. We study membrane configurations on $G_2$ holonomy backgrounds systematically, finding various other Energy-Charge relations. We end with some comments about strings rotating on warped backgrounds.

9.076777

9.497438

10.282294

8.063041

9.002316

9.071137

8.523337

8.834867

8.068031

10.661048

8.505441

8.65928

8.763988

8.15899

8.698892

8.354115

8.49558

8.688661

8.312831

9.36013

8.312938

hep-th/9801016

Ivanov Evgenyi

Evgeny Ivanov, Boris Zupnik

Modifying N=2 Supersymmetry via Partial Breaking

6 pages, LaTeX, Talk presented by E. Ivanov at the 31th International Symposium on the Theory of Elementary Partices, 2 - 6 September 1997, Buckow, Germany

null

hep-th

null

We study realization of N=2 SUSY in N=2 abelian gauge theory with electric and magnetic $FI$ terms within a manifestly supersymmetric formulation. We find that after dualization of even one $FI$ term N=2 SUSY is realized in a partial breaking mode off shell. In the case of two $FI$ terms, this regime is preserved on shell. The N=2 SUSY algebra is shown to be modified on gauge-variant objects.

[ { "created": "Mon, 5 Jan 1998 16:58:51 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ivanov", "Evgeny", "" ], [ "Zupnik", "Boris", "" ] ]

We study realization of N=2 SUSY in N=2 abelian gauge theory with electric and magnetic $FI$ terms within a manifestly supersymmetric formulation. We find that after dualization of even one $FI$ term N=2 SUSY is realized in a partial breaking mode off shell. In the case of two $FI$ terms, this regime is preserved on shell. The N=2 SUSY algebra is shown to be modified on gauge-variant objects.

11.8769

8.905382

11.356662

9.840602

8.925116

9.360458

9.786048

8.690558

8.833697

14.336807

9.350756

9.813421

11.271294

9.739136

9.662778

9.922014

9.714896

9.648354

10.316072

11.494173

9.936831

0801.3731

Thomas Krajewski

J. -H. Jureit (CPT), Thomas Krajewski (CPT), Thomas Schucker (CPT), Christoph Stephan (CPT)

Seesaw and noncommutative geometry

Dedicated to Alain Connes on the occasion of his 60th birthday

Phys.Lett.B654:127-132,2007

10.1016/j.physletb.2007.06.083

null

hep-th

null

The 1-loop corrections to the seesaw mechanism in the noncommutative standard model are computed. Other consequences of the Lorentzian signature in the inner space are summarised.

[ { "created": "Thu, 24 Jan 2008 10:52:29 GMT", "version": "v1" } ]

2008-11-26

[ [ "Jureit", "J. -H.", "", "CPT" ], [ "Krajewski", "Thomas", "", "CPT" ], [ "Schucker", "Thomas", "", "CPT" ], [ "Stephan", "Christoph", "", "CPT" ] ]

The 1-loop corrections to the seesaw mechanism in the noncommutative standard model are computed. Other consequences of the Lorentzian signature in the inner space are summarised.

16.565966

12.585914

13.111297

12.018958

13.466521

14.955253

14.066216

15.139935

13.404869

13.138142

14.4893

14.344066

15.564797

14.837933

14.353712

14.037125

14.193668

15.053357

15.055956

13.912768

13.646411

1204.1065

Vishnu Jejjala

Yang-Hui He, Vishnu Jejjala, Diego Rodriguez-Gomez

Brane Geometry and Dimer Models

29 pages, 4 figures, LaTeX; v.2: references added

null

10.1007/JHEP06(2012)143

null

hep-th

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

The field content and interactions of almost all known gauge theories in AdS_5/CFT_4 can be expressed in terms of dimer models or bipartite graphs drawn on a torus. Associated with the fundamental cell is a complex structure parameter tau_R. Based on the brane realization of these theories, we can specify a special Lagrangian (SLag) torus fibration that is the natural candidate to be identified as the torus on which the dimer lives. Using the metrics known in the literature, we compute the complex structure tau_G of this torus. For the theories on C^3 and the conifold and for orbifolds thereof tau_R = tau_G. However, for more complicated examples, we show that the two complex structures cannot be equal and yet, remarkably, differ only by a few percent. We leave the explanation for this extraordinary proximity as an open challenge.

[ { "created": "Wed, 4 Apr 2012 20:04:09 GMT", "version": "v1" }, { "created": "Tue, 5 Jun 2012 09:40:14 GMT", "version": "v2" } ]

2015-06-04

[ [ "He", "Yang-Hui", "" ], [ "Jejjala", "Vishnu", "" ], [ "Rodriguez-Gomez", "Diego", "" ] ]

The field content and interactions of almost all known gauge theories in AdS_5/CFT_4 can be expressed in terms of dimer models or bipartite graphs drawn on a torus. Associated with the fundamental cell is a complex structure parameter tau_R. Based on the brane realization of these theories, we can specify a special Lagrangian (SLag) torus fibration that is the natural candidate to be identified as the torus on which the dimer lives. Using the metrics known in the literature, we compute the complex structure tau_G of this torus. For the theories on C^3 and the conifold and for orbifolds thereof tau_R = tau_G. However, for more complicated examples, we show that the two complex structures cannot be equal and yet, remarkably, differ only by a few percent. We leave the explanation for this extraordinary proximity as an open challenge.

12.412688

12.208468

13.630204

11.828433

13.284623

13.19591

12.499244

12.608377

11.882622

14.887837

11.583564

11.395821

12.715777

11.248367

12.155624

11.172163

11.455057

11.381704

11.34502

12.529931

10.798309

1701.01016

Jan Troost

On the gl(1|1) Wess-Zumino-Witten Model

37 pages

null

10.1007/JHEP05(2017)057

null

hep-th

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

We continue the study of the gl(1|1) Wess-Zumino-Witten model. The Knizhnik-Zamolodchikov equations for the one, two, three and four point functions are analyzed, for vertex operators corresponding to typical and projective representations. We illustrate their interplay with the logarithmic global conformal Ward identities. We compute the four point function for one projective and three typical representations. Three coupled first order Knizhnik-Zamolodchikov equations are integrated consecutively in terms of generalized hypergeometric functions, and we assemble the solutions into a local correlator. Moreover, we prove crossing symmetry of the four point function of four typical representations at generic momenta. Throughout, the map between the gl(1|1) Wess-Zumino-Witten model and symplectic fermions is exploited and extended.

[ { "created": "Wed, 4 Jan 2017 14:14:37 GMT", "version": "v1" }, { "created": "Tue, 16 May 2017 07:35:43 GMT", "version": "v2" } ]

2017-06-07

[ [ "Troost", "Jan", "" ] ]

We continue the study of the gl(1|1) Wess-Zumino-Witten model. The Knizhnik-Zamolodchikov equations for the one, two, three and four point functions are analyzed, for vertex operators corresponding to typical and projective representations. We illustrate their interplay with the logarithmic global conformal Ward identities. We compute the four point function for one projective and three typical representations. Three coupled first order Knizhnik-Zamolodchikov equations are integrated consecutively in terms of generalized hypergeometric functions, and we assemble the solutions into a local correlator. Moreover, we prove crossing symmetry of the four point function of four typical representations at generic momenta. Throughout, the map between the gl(1|1) Wess-Zumino-Witten model and symplectic fermions is exploited and extended.

6.974964

7.148019

8.058766

7.161786

7.155916

7.778805

7.338425

7.491718

6.887949

8.128036

7.023843

6.843053

7.25492

6.845692

6.902368

7.018731

6.974825

7.04365

6.760169

7.009151

6.823635

0902.2194

George Siopsis

Usama A. al-Binni, George Siopsis

Particle emission from a black hole on a tense codimension-2 brane

35 pages incl. 13 figures, added/corrected references

Phys.Rev.D79:084041,2009

10.1103/PhysRevD.79.084041

UTHET-09-0201

hep-th

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

We calculate analytically grey-body factors of Schwarzschild black-holes localized on a 3-brane of finite tension and codimension 2. We obtain explicit expressions for various types of particles emitted in the bulk as well as on the brane in both the low and high frequency regimes. In the latter case, we obtain expressions which are valid for arbitrary number of extra dimensions if the brane tension vanishes.

[ { "created": "Thu, 12 Feb 2009 19:08:16 GMT", "version": "v1" }, { "created": "Wed, 18 Feb 2009 19:33:04 GMT", "version": "v2" } ]

2009-10-29

[ [ "al-Binni", "Usama A.", "" ], [ "Siopsis", "George", "" ] ]

We calculate analytically grey-body factors of Schwarzschild black-holes localized on a 3-brane of finite tension and codimension 2. We obtain explicit expressions for various types of particles emitted in the bulk as well as on the brane in both the low and high frequency regimes. In the latter case, we obtain expressions which are valid for arbitrary number of extra dimensions if the brane tension vanishes.

8.453194

7.618372

8.420441

7.156014

7.550173

7.365742

7.175064

7.305321

7.595038

8.605098

8.332656

7.811374

8.51344

8.112783

8.074928

8.160808

7.970786

7.922818

7.912663

8.492743

8.055012

1701.07918

Walter Riquelme

Gonzalo A. Palma and Walter Riquelme

Axion excursions of the landscape during inflation

7 pages, 2 figures. v2: references added, improved discussion

Phys. Rev. D 96, 023530 (2017)

10.1103/PhysRevD.96.023530

null

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

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

Because of their quantum fluctuations, axion fields had a chance to experience field excursions traversing many minima of their potentials during inflation. We study this situation by analyzing the dynamics of an axion-spectator field $\psi$, present during inflation, with a periodic potential given by $v(\psi) = \Lambda^4 [1 - \cos (\psi / f)]$. By assuming that the vacuum expectation value of the field is stabilized at one of its minima, say $\psi = 0$, we compute every $n$-point correlation function of $\psi$ up to first order in $\Lambda^4$ using the in-in formalism. This computation allows us to identify the distribution function describing the probability of measuring $\psi$ at a particular amplitude during inflation. Because $\psi$ is able to tunnel between the barriers of the potential, we find that the probability distribution function consists of a non-Gaussian multimodal distribution such that the probability of measuring $\psi$ at a minimum of $v(\psi)$ different from $\psi=0$ increases with time. As a result, at the end of inflation, different patches of the Universe are characterized by different values of the axion field amplitude, leading to important cosmological phenomenology: (a) Isocurvature fluctuations induced by the axion at the end of inflation could be highly non-Gaussian. (b) If the axion defines the strength of standard model couplings, then one is led to a concrete realization of the multiverse. (c) If the axion corresponds to dark matter, one is led to the possibility that, within our observable Universe, dark matter started with a nontrivial initial condition, implying novel signatures for future surveys.

[ { "created": "Fri, 27 Jan 2017 01:16:36 GMT", "version": "v1" }, { "created": "Tue, 12 Sep 2017 19:44:28 GMT", "version": "v2" } ]

2017-09-14

[ [ "Palma", "Gonzalo A.", "" ], [ "Riquelme", "Walter", "" ] ]

Because of their quantum fluctuations, axion fields had a chance to experience field excursions traversing many minima of their potentials during inflation. We study this situation by analyzing the dynamics of an axion-spectator field $\psi$, present during inflation, with a periodic potential given by $v(\psi) = \Lambda^4 [1 - \cos (\psi / f)]$. By assuming that the vacuum expectation value of the field is stabilized at one of its minima, say $\psi = 0$, we compute every $n$-point correlation function of $\psi$ up to first order in $\Lambda^4$ using the in-in formalism. This computation allows us to identify the distribution function describing the probability of measuring $\psi$ at a particular amplitude during inflation. Because $\psi$ is able to tunnel between the barriers of the potential, we find that the probability distribution function consists of a non-Gaussian multimodal distribution such that the probability of measuring $\psi$ at a minimum of $v(\psi)$ different from $\psi=0$ increases with time. As a result, at the end of inflation, different patches of the Universe are characterized by different values of the axion field amplitude, leading to important cosmological phenomenology: (a) Isocurvature fluctuations induced by the axion at the end of inflation could be highly non-Gaussian. (b) If the axion defines the strength of standard model couplings, then one is led to a concrete realization of the multiverse. (c) If the axion corresponds to dark matter, one is led to the possibility that, within our observable Universe, dark matter started with a nontrivial initial condition, implying novel signatures for future surveys.

6.884352

7.70525

7.444221

7.33336

7.136136

7.90777

7.495208

7.811597

7.090274

8.128888

6.967628

6.864092

7.012566

6.84046

6.856866

6.92822

6.944869

6.773678

6.80338

6.940897

6.761362

hep-th/9211114

null

H.J. de Vega and A. Gonz\'alez Ruiz

Boundary K-Matrices for the Six Vertex and the n(2n-1) A_{n-1} Vertex Models

9 pages,latex, LPTHE-PAR 92-45

J.Phys. A26 (1993) L519-L524

10.1088/0305-4470/26/12/007

null

hep-th

null

Boundary conditions compatible with integrability are obtained for two dimensional models by solving the factorizability equations for the reflection matrices $K^{\pm}(\theta)$. For the six vertex model the general solution depending on four arbitrary parameters is found. For the $A_{n-1}$ models all diagonal solutions are found. The associated integrable magnetic Hamiltonians are explicitly derived.

[ { "created": "Tue, 24 Nov 1992 19:28:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "de Vega", "H. J.", "" ], [ "Ruiz", "A. González", "" ] ]

Boundary conditions compatible with integrability are obtained for two dimensional models by solving the factorizability equations for the reflection matrices $K^{\pm}(\theta)$. For the six vertex model the general solution depending on four arbitrary parameters is found. For the $A_{n-1}$ models all diagonal solutions are found. The associated integrable magnetic Hamiltonians are explicitly derived.

12.116705

7.423569

13.000769

8.850602

9.142879

9.048852

7.996507

9.168303

9.304455

12.77348

8.584123

9.197833

11.120019

9.872991

10.419151

10.153872

9.861206

9.486318

9.944522

11.051785

9.32039

2012.00020

Niklas Mueller

Jo\~ao Barata, Niklas Mueller, Andrey Tarasov, Raju Venugopalan

Single-particle digitization strategy for quantum computation of a $\phi^4$ scalar field theory

31 pages, 13 figures; journal version published in Phys. Rev. A 103, 042410 (2021); Table I modified to to include more precise estimate for cost of initial state preparation; Appendix B (discussion of state preparation) significantly extended & figures 10 and 11 added

Phys. Rev. A 103, 042410 (2021)

10.1103/PhysRevA.103.042410

null

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

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

Motivated by the parton picture of high energy quantum chromodynamics, we develop a single-particle digitization strategy for the efficient quantum simulation of relativistic scattering processes in a $d+1$ dimensional scalar $\phi^4$ field theory. We work out quantum algorithms for initial state preparation, time evolution and final state measurements. We outline a non-perturbative renormalization strategy in this single-particle framework.

[ { "created": "Mon, 30 Nov 2020 19:00:02 GMT", "version": "v1" }, { "created": "Mon, 21 Dec 2020 23:56:33 GMT", "version": "v2" }, { "created": "Wed, 14 Apr 2021 14:54:27 GMT", "version": "v3" } ]

2021-04-15

[ [ "Barata", "João", "" ], [ "Mueller", "Niklas", "" ], [ "Tarasov", "Andrey", "" ], [ "Venugopalan", "Raju", "" ] ]

Motivated by the parton picture of high energy quantum chromodynamics, we develop a single-particle digitization strategy for the efficient quantum simulation of relativistic scattering processes in a $d+1$ dimensional scalar $\phi^4$ field theory. We work out quantum algorithms for initial state preparation, time evolution and final state measurements. We outline a non-perturbative renormalization strategy in this single-particle framework.

10.183918

9.632225

9.530119

9.260807

9.313468

9.59969

9.838331

9.776918

9.294234

10.950213

9.522002

9.17348

9.745671

9.856358

9.322317

9.682627

9.750094

9.428752

9.477117

10.590835

9.541741

1111.7083

Yuichi Mizutani

Yuichi Mizutani and Tomohiro Inagaki

Non-Equilibrium Thermo Field Dynamics for Relativistic Complex Scalar and Dirac Fields

41 pages,2 figures

null

10.1142/S0217751X12500789

null

hep-th

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

Relativistic quantum field theories for complex scalar and Dirac fields are investigated in non-equilibrium thermo field dynamics. The thermal vacuum is defined by the Bogoliubov transformed creation and annihilation operators. Two independent Bogoliubov parameters are introduced for a charged field. Its difference naturally induces the chemical potential. Time-dependent thermal Bogoliubov transformation generates the thermal counter terms. We fix the terms by the self-consistency renormalization condition. Evaluating the thermal self-energy under the self-consistency renormalization condition, we derive the quantum Boltzmann equations for the relativistic fields.

[ { "created": "Wed, 30 Nov 2011 08:53:42 GMT", "version": "v1" }, { "created": "Wed, 2 May 2012 05:16:52 GMT", "version": "v2" } ]

2015-06-03

[ [ "Mizutani", "Yuichi", "" ], [ "Inagaki", "Tomohiro", "" ] ]

Relativistic quantum field theories for complex scalar and Dirac fields are investigated in non-equilibrium thermo field dynamics. The thermal vacuum is defined by the Bogoliubov transformed creation and annihilation operators. Two independent Bogoliubov parameters are introduced for a charged field. Its difference naturally induces the chemical potential. Time-dependent thermal Bogoliubov transformation generates the thermal counter terms. We fix the terms by the self-consistency renormalization condition. Evaluating the thermal self-energy under the self-consistency renormalization condition, we derive the quantum Boltzmann equations for the relativistic fields.

9.464272

10.260325

10.022936

9.574477

10.342941

10.970557

9.684705

10.055965

9.639999

11.693254

9.398194

9.12122

9.250773

9.617977

9.744598

9.621729

9.431947

9.268379

9.195775

9.551442

9.486137

1603.07706

Daniel Kapec

Daniel Kapec, Ana-Maria Raclariu, Andrew Strominger

Area, Entanglement Entropy and Supertranslations at Null Infinity

14 pages

Class. Quant. Grav. 34, no. 16, 165007 (2017)

10.1088/1361-6382/aa7f12

null

hep-th gr-qc

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

The area of a cross-sectional cut $\Sigma$ of future null infinity ($\mathcal{I}^+$) is infinite. We define a finite, renormalized area by subtracting the area of the same cut in any one of the infinite number of BMS-degenerate classical vacua. The renormalized area acquires an anomalous dependence on the choice of vacuum. We relate it to the modular energy, including a soft graviton contribution, of the region of $\mathcal{I}^+$ to the future of $\Sigma$. Under supertranslations, the renormalized area shifts by the supertranslation charge of $\Sigma$. In quantum gravity, we conjecture a bound relating the renormalized area to the entanglement entropy across $\Sigma$ of the outgoing quantum state on $\mathcal{I}^+$.

[ { "created": "Thu, 24 Mar 2016 18:59:26 GMT", "version": "v1" } ]

2017-11-17

[ [ "Kapec", "Daniel", "" ], [ "Raclariu", "Ana-Maria", "" ], [ "Strominger", "Andrew", "" ] ]

The area of a cross-sectional cut $\Sigma$ of future null infinity ($\mathcal{I}^+$) is infinite. We define a finite, renormalized area by subtracting the area of the same cut in any one of the infinite number of BMS-degenerate classical vacua. The renormalized area acquires an anomalous dependence on the choice of vacuum. We relate it to the modular energy, including a soft graviton contribution, of the region of $\mathcal{I}^+$ to the future of $\Sigma$. Under supertranslations, the renormalized area shifts by the supertranslation charge of $\Sigma$. In quantum gravity, we conjecture a bound relating the renormalized area to the entanglement entropy across $\Sigma$ of the outgoing quantum state on $\mathcal{I}^+$.

6.113902

5.201364

6.211767

5.631687

6.09373

5.910961

5.495785

5.357682

5.363441

6.011237

5.419885

5.306205

5.425617

5.369758

5.215073

5.245167

5.46087

5.317928

5.279661

5.408665

5.274604

2005.10841

Adam Bzowski

TripleK: A Mathematica package for evaluating triple-K integrals and conformal correlation functions

21 pages

null

10.1016/j.cpc.2020.107538

null

hep-th cond-mat.stat-mech

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

I present a Mathematica package designed for manipulations and evaluations of triple-K integrals and conformal correlation functions in momentum space. Additionally, the program provides tools for evaluation of a large class of 2- and 3-point massless multi-loop Feynman integrals with generalized propagators. The package is accompanied by five Mathematica notebooks containing detailed calculations of numerous conformal 3-point functions in momentum space.

[ { "created": "Thu, 21 May 2020 18:00:14 GMT", "version": "v1" } ]

2020-08-26

[ [ "Bzowski", "Adam", "" ] ]

I present a Mathematica package designed for manipulations and evaluations of triple-K integrals and conformal correlation functions in momentum space. Additionally, the program provides tools for evaluation of a large class of 2- and 3-point massless multi-loop Feynman integrals with generalized propagators. The package is accompanied by five Mathematica notebooks containing detailed calculations of numerous conformal 3-point functions in momentum space.

11.85259

11.342264

13.318343

11.250208

10.724067

12.64845

11.509118

10.85556

11.149137

12.875247

10.115817

11.233438

10.711513

11.467813

11.245447

11.258732

11.515947

11.307213

11.49411

11.276928

10.999505

hep-th/0508213

Leonardo Castellani

Lie derivatives along antisymmetric tensors, and the M-theory superalgebra

11 pages, LaTeX. Added a missing commutator in the dual Lie algebra of Section 3.2

null

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

null

Free differential algebras (FDA's) provide an algebraic setting for field theories with antisymmetric tensors. The "presentation" of FDA's generalizes the Cartan-Maurer equations of ordinary Lie algebras, by incorporating p-form potentials. An extended Lie derivative along antisymmetric tensor fields can be defined, and used to recover a Lie algebra dual to the FDA, that encodes all the symmetries of the theory including those gauged by the p-forms. The general method is applied to the FDA of D=11 supergravity: the resulting dual Lie superalgebra contains the M-theory supersymmetry anticommutators in presence of 2-branes.

[ { "created": "Mon, 29 Aug 2005 13:16:10 GMT", "version": "v1" }, { "created": "Wed, 31 Aug 2005 19:40:51 GMT", "version": "v2" } ]

2007-05-23

[ [ "Castellani", "Leonardo", "" ] ]

Free differential algebras (FDA's) provide an algebraic setting for field theories with antisymmetric tensors. The "presentation" of FDA's generalizes the Cartan-Maurer equations of ordinary Lie algebras, by incorporating p-form potentials. An extended Lie derivative along antisymmetric tensor fields can be defined, and used to recover a Lie algebra dual to the FDA, that encodes all the symmetries of the theory including those gauged by the p-forms. The general method is applied to the FDA of D=11 supergravity: the resulting dual Lie superalgebra contains the M-theory supersymmetry anticommutators in presence of 2-branes.

9.5381

8.622353

9.772615

8.111

8.696778

8.707343

8.046536

8.883308

8.265725

11.763358

8.486834

8.254315

8.925979

8.18878

8.654028

8.304606

8.529345

8.252366

8.22871

8.885759

8.094666

1410.0354

Jacob Bourjaily

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

On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes

4 pages, 3 figures

Phys. Rev. Lett. 113, 261603 (2014)

10.1103/PhysRevLett.113.261603

null

hep-th

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

We present evidence that loop amplitudes in maximally supersymmetric $\mathcal{N}=4$ Yang-Mills (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full $\mathcal{N}=4$ SYM has only logarithmic singularities and is free of any poles at infinity---properties closely related to uniform transcendentality and the UV-finiteness of the theory. We also briefly comment on implications for maximal ($\mathcal{N}=8$) supergravity.

[ { "created": "Wed, 1 Oct 2014 20:00:00 GMT", "version": "v1" } ]

2015-01-07

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

We present evidence that loop amplitudes in maximally supersymmetric $\mathcal{N}=4$ Yang-Mills (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full $\mathcal{N}=4$ SYM has only logarithmic singularities and is free of any poles at infinity---properties closely related to uniform transcendentality and the UV-finiteness of the theory. We also briefly comment on implications for maximal ($\mathcal{N}=8$) supergravity.

4.563817

5.011234

5.300964

4.804558

4.976163

4.94628

4.874581

5.008844

5.012353

5.878301

4.929439

4.893333

5.04793

4.828455

4.666539

4.718829

4.74614

4.866189

4.735208

4.964137

4.617064

hep-th/0410252

Tomas Ortin

A Note on Supersymmetric Godel Black Holes, Strings and Rings of Minimal d=5 Supergravity

9 pages, Latex2e. Additional references included

Class.Quant.Grav. 22 (2005) 939-946

10.1088/0264-9381/22/6/003

IFT-UAM/CSIC-04-45

hep-th gr-qc

null

We show how any asymptotically flat supersymmetric solution of minimal d=5 supergravity with flat base space can be deformed into another supersymmetric asymptotically-Godel solution and apply this procedure to the recently found supersymmetric black-ring and black-string solutions.

[ { "created": "Tue, 26 Oct 2004 17:46:39 GMT", "version": "v1" }, { "created": "Wed, 3 Nov 2004 19:32:56 GMT", "version": "v2" } ]

2009-11-10

[ [ "Ortin", "Tomas", "" ] ]

We show how any asymptotically flat supersymmetric solution of minimal d=5 supergravity with flat base space can be deformed into another supersymmetric asymptotically-Godel solution and apply this procedure to the recently found supersymmetric black-ring and black-string solutions.

12.73439

11.578146

12.368642

10.265781

11.561226

12.066123

11.070622

11.127346

10.47333

11.477099

10.133758

11.494425

11.732307

10.80636

10.719225

10.971497

11.333871

11.215183

11.131347

11.001404

10.519681

0904.0654

Olaf Lechtenfeld

Tatiana A. Ivanova, Olaf Lechtenfeld, Alexander D. Popov, Thorsten Rahn

Instantons and Yang-Mills Flows on Coset Spaces

1+12 pages

Lett.Math.Phys.89:231-247,2009

10.1007/s11005-009-0336-1

null

hep-th

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

We consider the Yang-Mills flow equations on a reductive coset space G/H and the Yang-Mills equations on the manifold R x G/H. On nonsymmetric coset spaces G/H one can introduce geometric fluxes identified with the torsion of the spin connection. The condition of G-equivariance imposed on the gauge fields reduces the Yang-Mills equations to phi^4-kink equations on R. Depending on the boundary conditions and torsion, we obtain solutions to the Yang-Mills equations describing instantons, chains of instanton-anti-instanton pairs or modifications of gauge bundles. For Lorentzian signature on R x G/H, dyon-type configurations are constructed as well. We also present explicit solutions to the Yang-Mills flow equations and compare them with the Yang-Mills solutions on R x G/H.

[ { "created": "Sat, 4 Apr 2009 13:04:10 GMT", "version": "v1" } ]

2009-10-20

[ [ "Ivanova", "Tatiana A.", "" ], [ "Lechtenfeld", "Olaf", "" ], [ "Popov", "Alexander D.", "" ], [ "Rahn", "Thorsten", "" ] ]

We consider the Yang-Mills flow equations on a reductive coset space G/H and the Yang-Mills equations on the manifold R x G/H. On nonsymmetric coset spaces G/H one can introduce geometric fluxes identified with the torsion of the spin connection. The condition of G-equivariance imposed on the gauge fields reduces the Yang-Mills equations to phi^4-kink equations on R. Depending on the boundary conditions and torsion, we obtain solutions to the Yang-Mills equations describing instantons, chains of instanton-anti-instanton pairs or modifications of gauge bundles. For Lorentzian signature on R x G/H, dyon-type configurations are constructed as well. We also present explicit solutions to the Yang-Mills flow equations and compare them with the Yang-Mills solutions on R x G/H.

10.045626

9.763582

9.785329

9.045729

9.488189

9.663177

9.658119

9.283865

8.703146

11.088834

8.735106

9.452818

9.561413

9.297403

9.378637

9.368666

9.694644

9.299491

9.152767

9.670591

9.269469

1312.4916

Marco Schreck MS

M. Schreck

Quantum field theoretic properties of Lorentz-violating operators of nonrenormalizable dimension in the photon sector

25 pages, 2 figures

Phys. Rev. D 89, 105019 (2014)

10.1103/PhysRevD.89.105019

null

hep-th

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

In the context of the nonminimal Standard-Model Extension a special subset of the CPT-even higher-dimensional operators in the photon sector is discussed from a quantum-field theoretical point of view. The modified dispersion laws, photon polarization vectors plus the gauge field propagator are obtained and their properties are analyzed. It is demonstrated that for certain sectors of the modified theory a puzzle arises for the optical theorem at tree-level. This is followed by a discussion of how it can be interpreted and resolved at first order Lorentz violation. Furthermore the commutator of two gauge fields that are evaluated at different spacetime points is obtained and discussed. The structure of the theory is shown to resemble the structure of the modification based on the corresponding dimension-4 operator. However some properties are altered due to the nonrenormalizable nature of the theory considered. The results provide more insight into the characteristics of Lorentz-violating quantum field theories that rest upon contributions of nonrenormalizable dimension.

[ { "created": "Tue, 17 Dec 2013 19:53:17 GMT", "version": "v1" } ]

2014-05-28

[ [ "Schreck", "M.", "" ] ]

In the context of the nonminimal Standard-Model Extension a special subset of the CPT-even higher-dimensional operators in the photon sector is discussed from a quantum-field theoretical point of view. The modified dispersion laws, photon polarization vectors plus the gauge field propagator are obtained and their properties are analyzed. It is demonstrated that for certain sectors of the modified theory a puzzle arises for the optical theorem at tree-level. This is followed by a discussion of how it can be interpreted and resolved at first order Lorentz violation. Furthermore the commutator of two gauge fields that are evaluated at different spacetime points is obtained and discussed. The structure of the theory is shown to resemble the structure of the modification based on the corresponding dimension-4 operator. However some properties are altered due to the nonrenormalizable nature of the theory considered. The results provide more insight into the characteristics of Lorentz-violating quantum field theories that rest upon contributions of nonrenormalizable dimension.

12.585149

12.646421

11.393962

11.414523

12.76289

13.70297

13.338188

12.204679

11.632397

12.206331

11.764861

12.017377

11.794995

11.689535

11.300626

12.065757

11.467742

12.281105

11.697575

12.179967

11.904989

2007.09653

Giulia Gubitosi

Giulia Gubitosi, Angel Ballesteros, Francisco J. Herranz

Generalized noncommutative Snyder spaces and projective geometry

Contribution to the proceedings of the Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019), 31 August-25 September 2019, Corfu, Greece. Contains previously unpublished material. V2: references added

PoS (CORFU2019) 376 (2020) 190

10.22323/1.376.0190

null

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

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

Given a group of kinematical symmetry generators, one can construct a compatible noncommutative spacetime and deformed phase space by means of projective geometry. This was the main idea behind the very first model of noncommutative spacetime, proposed by H.S. Snyder in 1947. In this framework, spacetime coordinates are the translation generators over a manifold that is symmetric under the required generators, while momenta are projective coordinates on such a manifold. In these proceedings we review the construction of Euclidean and Lorentzian noncommutative Snyder spaces and investigate the freedom left by this construction in the choice of the physical momenta, because of different available choices of projective coordinates. In particular, we derive a quasi-canonical structure for both the Euclidean and Lorentzian Snyder noncommutative models such that their phase space algebra is diagonal although no longer quadratic.

[ { "created": "Sun, 19 Jul 2020 11:39:33 GMT", "version": "v1" }, { "created": "Fri, 18 Sep 2020 10:32:40 GMT", "version": "v2" } ]

2020-09-21

[ [ "Gubitosi", "Giulia", "" ], [ "Ballesteros", "Angel", "" ], [ "Herranz", "Francisco J.", "" ] ]

Given a group of kinematical symmetry generators, one can construct a compatible noncommutative spacetime and deformed phase space by means of projective geometry. This was the main idea behind the very first model of noncommutative spacetime, proposed by H.S. Snyder in 1947. In this framework, spacetime coordinates are the translation generators over a manifold that is symmetric under the required generators, while momenta are projective coordinates on such a manifold. In these proceedings we review the construction of Euclidean and Lorentzian noncommutative Snyder spaces and investigate the freedom left by this construction in the choice of the physical momenta, because of different available choices of projective coordinates. In particular, we derive a quasi-canonical structure for both the Euclidean and Lorentzian Snyder noncommutative models such that their phase space algebra is diagonal although no longer quadratic.

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9.315478

0812.5074

Nathan Berkovits

Nathan Berkovits (IFT-UNESP, Sao Paulo)

Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism

39 pages harvmac

JHEP 0909:051,2009

10.1088/1126-6708/2009/09/051

IFT-P.022/2008

hep-th

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

Although the AdS_5xS^5 worldsheet action is not quadratic, some features of the pure spinor formalism are simpler in an AdS_5xS^5 background than in a flat background. The BRST operator acts geometrically, the left and right-moving pure spinor ghosts can be treated as complex conjugates, the zero mode measure factor is trivial, and the b ghost does not require non-minimal fields. Furthermore, a topological version of the AdS_5xS^5 action with the same worldsheet variables and BRST operator can be constructed by gauge-fixing a G/G principal chiral model where G=PSU(2,2|4). This topological model is argued to describe the zero radius limit that is dual to free N=4 super-Yang-Mills and can also be interpreted as an "unbroken phase" of superstring theory.

[ { "created": "Tue, 30 Dec 2008 14:40:01 GMT", "version": "v1" } ]

2009-09-28

[ [ "Berkovits", "Nathan", "", "IFT-UNESP, Sao Paulo" ] ]

Although the AdS_5xS^5 worldsheet action is not quadratic, some features of the pure spinor formalism are simpler in an AdS_5xS^5 background than in a flat background. The BRST operator acts geometrically, the left and right-moving pure spinor ghosts can be treated as complex conjugates, the zero mode measure factor is trivial, and the b ghost does not require non-minimal fields. Furthermore, a topological version of the AdS_5xS^5 action with the same worldsheet variables and BRST operator can be constructed by gauge-fixing a G/G principal chiral model where G=PSU(2,2|4). This topological model is argued to describe the zero radius limit that is dual to free N=4 super-Yang-Mills and can also be interpreted as an "unbroken phase" of superstring theory.

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8.101702

2104.02634

Sameer Murthy

Rajesh Kumar Gupta, Sameer Murthy, Manya Sahni

Quantum entropy of BMPV black holes and the topological M-theory conjecture

null

10.1007/JHEP06(2022)053

null

hep-th

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

We present a formula for the quantum entropy of supersymmetric five-dimensional spinning black holes in M-theory compactified on $CY_3$, i.e., BMPV black holes. We use supersymmetric localization in the framework of off-shell five dimensional $N=2$ supergravity coupled to $I = 1,\dots,N_V + 1$ off-shell vector multiplets. The theory is governed at two-derivative level by the symmetric tensor $\mathcal{C}_{IJK}$ (the intersection numbers of the Calabi-Yau) and at four-derivative level by the gauge-gravitational Chern-Simons coupling $c_I$ (the second Chern class of the Calabi-Yau). The quantum entropy is an $N_V + 2$-dimensional integral parameterised by one real parameter $\varphi^I$ for each vector multiplet and an additional parameter $\varphi^0$ for the gravity multiplet. The integrand consists of an action governed completely by $\mathcal{C}_{IJK}$ and $c_{I}$, and a one-loop determinant. Consistency with the on-shell logarithmic corrections to the entropy, the symmetries of the very special geometry of the moduli space, and an assumption of analyticity constrains the one-loop determinant up to a scale-independent function $f(\varphi^0)$. For $f=1$ our result agrees completely with the topological M-theory conjecture of Dijkgraaf, Gukov, Nietzke, and Vafa for static black holes at two derivative level, and provides a natural extension to higher derivative corrections. For rotating BMPV black holes, our result differs from the DGNV conjecture at the level of the first quantum corrections.

[ { "created": "Tue, 6 Apr 2021 16:08:38 GMT", "version": "v1" } ]

2022-06-29

[ [ "Gupta", "Rajesh Kumar", "" ], [ "Murthy", "Sameer", "" ], [ "Sahni", "Manya", "" ] ]

We present a formula for the quantum entropy of supersymmetric five-dimensional spinning black holes in M-theory compactified on $CY_3$, i.e., BMPV black holes. We use supersymmetric localization in the framework of off-shell five dimensional $N=2$ supergravity coupled to $I = 1,\dots,N_V + 1$ off-shell vector multiplets. The theory is governed at two-derivative level by the symmetric tensor $\mathcal{C}_{IJK}$ (the intersection numbers of the Calabi-Yau) and at four-derivative level by the gauge-gravitational Chern-Simons coupling $c_I$ (the second Chern class of the Calabi-Yau). The quantum entropy is an $N_V + 2$-dimensional integral parameterised by one real parameter $\varphi^I$ for each vector multiplet and an additional parameter $\varphi^0$ for the gravity multiplet. The integrand consists of an action governed completely by $\mathcal{C}_{IJK}$ and $c_{I}$, and a one-loop determinant. Consistency with the on-shell logarithmic corrections to the entropy, the symmetries of the very special geometry of the moduli space, and an assumption of analyticity constrains the one-loop determinant up to a scale-independent function $f(\varphi^0)$. For $f=1$ our result agrees completely with the topological M-theory conjecture of Dijkgraaf, Gukov, Nietzke, and Vafa for static black holes at two derivative level, and provides a natural extension to higher derivative corrections. For rotating BMPV black holes, our result differs from the DGNV conjecture at the level of the first quantum corrections.

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hep-th/0103084

Cecilia Albertsson

C. Albertsson, B. Brinne, U. Lindstrom, M. Rocek, R. von Unge

ADE-Quiver Theories and Mirror Symmetry

8 pages, 4 figures. Talk delivered by UL at D.V. Volkov Memorial Conference, July 25-29, 2000, Kharkov, to be published in the proceedings

Nucl.Phys.Proc.Suppl. 102 (2001) 3-10

10.1016/S0920-5632(01)01530-4

USITP-01-05

hep-th

null

We show that the Higgs branch of a four-dimensional Yang-Mills theory, with gauge and matter content summarised by an ADE quiver diagram, is identical to the generalised Coulomb branch of a four-dimensional superconformal strongly coupled gauge theory with ADE global symmetry. This equivalence suggests the existence of a mirror symmetry between the quiver theories and the strongly coupled theories.

[ { "created": "Mon, 12 Mar 2001 16:49:04 GMT", "version": "v1" } ]

2009-11-07

[ [ "Albertsson", "C.", "" ], [ "Brinne", "B.", "" ], [ "Lindstrom", "U.", "" ], [ "Rocek", "M.", "" ], [ "von Unge", "R.", "" ] ]

We show that the Higgs branch of a four-dimensional Yang-Mills theory, with gauge and matter content summarised by an ADE quiver diagram, is identical to the generalised Coulomb branch of a four-dimensional superconformal strongly coupled gauge theory with ADE global symmetry. This equivalence suggests the existence of a mirror symmetry between the quiver theories and the strongly coupled theories.

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