LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1302.7310

Silviu Pufu

Daniel Z. Freedman and Silviu S. Pufu

The Holography of F-maximization

48 pages; v2 minor improvements

null

10.1007/JHEP03(2014)135

SU-ITP-13/01, MIT-CTP-4443

hep-th

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

We find new supersymmetric backgrounds of ${\cal N} = 8$ gauged supergravity in four Euclidean dimensions that are dual to deformations of ABJM theory on $S^3$. The deformations encode the most general choice of $U(1)_R$ symmetry used to define the theory on $S^3$. We work within an ${\cal N} = 2$ truncation of the ${\cal N} = 8$ supergravity theory obtained via a group theory argument. We find perfect agreement between the $S^3$ free energy computed from our supergravity backgrounds and the previous field theory computations of the same quantity based on supersymmetric localization and matrix model techniques.

[ { "created": "Thu, 28 Feb 2013 20:42:40 GMT", "version": "v1" }, { "created": "Fri, 31 Jan 2014 23:45:28 GMT", "version": "v2" } ]

2015-06-15

[ [ "Freedman", "Daniel Z.", "" ], [ "Pufu", "Silviu S.", "" ] ]

We find new supersymmetric backgrounds of ${\cal N} = 8$ gauged supergravity in four Euclidean dimensions that are dual to deformations of ABJM theory on $S^3$. The deformations encode the most general choice of $U(1)_R$ symmetry used to define the theory on $S^3$. We work within an ${\cal N} = 2$ truncation of the ${\cal N} = 8$ supergravity theory obtained via a group theory argument. We find perfect agreement between the $S^3$ free energy computed from our supergravity backgrounds and the previous field theory computations of the same quantity based on supersymmetric localization and matrix model techniques.

5.89232

4.794251

6.903981

4.979492

4.481407

4.595974

4.811185

4.614571

4.77647

6.822477

5.011512

5.129507

5.765416

5.037374

5.002036

5.06269

4.941017

5.05771

5.220634

5.683825

5.127002

1512.01705

Dirk Kreimer

Spencer Bloch and Dirk Kreimer

Cutkosky Rules and Outer Space

46 pages, 8 figures

null

MaPhy-AvH/2015-17

hep-th math.AG

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

We derive Cutkosky's theorem starting from Pham's classical work. We emphasize structural relations to Outer Space.

[ { "created": "Sat, 5 Dec 2015 21:53:45 GMT", "version": "v1" } ]

2015-12-08

[ [ "Bloch", "Spencer", "" ], [ "Kreimer", "Dirk", "" ] ]

We derive Cutkosky's theorem starting from Pham's classical work. We emphasize structural relations to Outer Space.

120.542648

101.168358

173.731369

89.596008

119.372055

100.761299

137.357422

104.447151

135.698975

136.834824

94.41198

101.860603

126.752106

102.006805

108.76561

102.18129

94.117477

104.807755

105.124832

129.722305

90.28611

2203.07957

Raffaele Marotta

Soft-Theorems for Scalar Particles: The Dilatons Story

17 pages, 1 figure; article prepared for Symmetry, Special Issue "Advances in Theoretical High Energy Physics - Solving Quantum Field Theory"

Symmetry 2022, 14(3), 574

10.3390/sym14030574

null

hep-th

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

We summarize recent results regarding single and double soft theorems of two different particles named dilatons, the Nambu-Goldstone boson of the spontaneously broken conformal field theories and the massless scalar particle of the closed string theories. Similarities and differences between the soft theorems of these two particles are discussed as well as their connections with the symmetries of the theories.

[ { "created": "Tue, 15 Mar 2022 14:40:51 GMT", "version": "v1" } ]

2022-03-16

[ [ "Marotta", "Raffaele", "" ] ]

We summarize recent results regarding single and double soft theorems of two different particles named dilatons, the Nambu-Goldstone boson of the spontaneously broken conformal field theories and the massless scalar particle of the closed string theories. Similarities and differences between the soft theorems of these two particles are discussed as well as their connections with the symmetries of the theories.

7.954059

7.479684

8.302215

7.177988

6.550973

6.769576

7.480071

7.613229

6.654666

9.122791

7.427263

7.930673

7.761601

7.472713

7.424894

8.126381

7.618354

7.893229

7.568962

8.181502

7.414238

1606.06632

Thomas Mertens

Thomas G. Mertens, Henri Verschelde, Valentin I. Zakharov

String Theory in Polar Coordinates and the Vanishing of the One-Loop Rindler Entropy

58 pages + appendices, v2: typos corrected, matches published version

JHEP 1608 (2016) 113

10.1007/JHEP08(2016)113

null

hep-th

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

We analyze the string spectrum of flat space in polar coordinates, following the small curvature limit of the $SL(2,\mathbb{R})/U(1)$ cigar CFT. We first analyze the partition function of the cigar itself, making some clarifications of the structure of the spectrum that have escaped attention up to this point. The superstring spectrum (type 0 and type II) is shown to exhibit an involution symmetry, that survives the small curvature limit. We classify all marginal states in polar coordinates for type II superstrings, with emphasis on their links and their superconformal structure. This classification is confirmed by an explicit large $\tau_2$ analysis of the partition function. Next we compare three approaches towards the type II genus one entropy in Rindler space: using a sum-over-fields strategy, using a Melvin model approach and finally using a saddle point method on the cigar partition function. In each case we highlight possible obstructions and motivate that the correct procedures yield a vanishing result: $S=0$. We finally discuss how the QFT UV divergences of the fields in the spectrum disappear when computing the free energy and entropy using Euclidean techniques.

[ { "created": "Tue, 21 Jun 2016 15:56:13 GMT", "version": "v1" }, { "created": "Thu, 25 Aug 2016 16:21:10 GMT", "version": "v2" } ]

2016-08-26

[ [ "Mertens", "Thomas G.", "" ], [ "Verschelde", "Henri", "" ], [ "Zakharov", "Valentin I.", "" ] ]

We analyze the string spectrum of flat space in polar coordinates, following the small curvature limit of the $SL(2,\mathbb{R})/U(1)$ cigar CFT. We first analyze the partition function of the cigar itself, making some clarifications of the structure of the spectrum that have escaped attention up to this point. The superstring spectrum (type 0 and type II) is shown to exhibit an involution symmetry, that survives the small curvature limit. We classify all marginal states in polar coordinates for type II superstrings, with emphasis on their links and their superconformal structure. This classification is confirmed by an explicit large $\tau_2$ analysis of the partition function. Next we compare three approaches towards the type II genus one entropy in Rindler space: using a sum-over-fields strategy, using a Melvin model approach and finally using a saddle point method on the cigar partition function. In each case we highlight possible obstructions and motivate that the correct procedures yield a vanishing result: $S=0$. We finally discuss how the QFT UV divergences of the fields in the spectrum disappear when computing the free energy and entropy using Euclidean techniques.

15.06721

16.099169

15.207143

15.389153

15.327152

16.044546

15.466617

15.595298

15.427914

16.914024

15.093356

14.204594

14.977673

14.432787

14.253004

14.258659

14.413059

14.391629

14.483805

14.697224

14.27484

1405.6651

Chanju Kim

Some Exact Solutions of the Semilocal Popov Equations with Many Flavors

12 pages

null

10.3938/jkps.65.12

null

hep-th

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

In 2+1 dimensional nonrelativistic Chern-Simons gauge theories on $S^2$ which has a global $SU(M)$ symmetry, the semilocal Popov vortex equations are obtained as Bogomolny equations by minimizing the energy in the presence of a uniform external magnetic field. We study the equations with many flavors and find several families of exact solutions. The equations are transformed to the semilocal Liouville equations for which some exact solutions are known. In this paper, we find new exact solutions of the semilocal Liouville equations. Using these solutions, we construct solutions to the semilocal Popov equations. The solutions are expressed in terms of one or more arbitrary rational functions on $S^2$. Some simple solutions reduce to $CP^{M-1}$ lump configurations.

[ { "created": "Mon, 26 May 2014 17:25:23 GMT", "version": "v1" } ]

2015-06-19

[ [ "Kim", "Chanju", "" ] ]

In 2+1 dimensional nonrelativistic Chern-Simons gauge theories on $S^2$ which has a global $SU(M)$ symmetry, the semilocal Popov vortex equations are obtained as Bogomolny equations by minimizing the energy in the presence of a uniform external magnetic field. We study the equations with many flavors and find several families of exact solutions. The equations are transformed to the semilocal Liouville equations for which some exact solutions are known. In this paper, we find new exact solutions of the semilocal Liouville equations. Using these solutions, we construct solutions to the semilocal Popov equations. The solutions are expressed in terms of one or more arbitrary rational functions on $S^2$. Some simple solutions reduce to $CP^{M-1}$ lump configurations.

8.19621

6.802728

8.520602

7.012361

7.002965

7.318736

7.837451

6.926283

7.133139

8.181257

7.123388

7.464083

7.635947

7.234503

7.392894

7.191434

7.266209

7.466669

7.340295

7.789227

7.503964

0811.2305

Umpei Miyamoto

Kei-ichi Maeda (Waseda Univ.), Umpei Miyamoto (Hebrew Univ.)

Black hole-black string phase transitions from hydrodynamics

22 pages, 6 figures, 2 tables; v3: Appendix B added

JHEP03(2009)066

10.1088/1126-6708/2009/03/066

WU-AP/294/08

hep-th gr-qc

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

We discuss the phase transitions between three states of a plasma fluid (plasma ball, uniform plasma tube, and non-uniform plasma tube), which are dual to the corresponding finite energy black objects (black hole, uniform black string, and non-uniform black string) localized in an asymptotically locally AdS space. Adopting the equation of state for the fluid obtained by the Scherk-Schwarz compactification of a conformal field theory, we obtain axisymmetric static equilibrium states of the plasma fluid and draw the phase diagrams with their thermodynamical quantities. By use of the fluid/gravity correspondence, we predict the phase diagrams of the AdS black holes and strings on the gravity side. The thermodynamic phase diagrams of the AdS black holes and strings show many similarities to those of the black hole-black string system in a Kaluza-Klein vacuum. For instance, the critical dimension for the smooth transition from the uniform to non-uniform strings is the same as that in the Kaluza-Klein vacuum in the canonical ensemble. The analysis in this paper may provide a holographic understanding of the relation between the Rayleigh-Plateau and Gregory-Laflamme instabilities via the fluid/gravity correspondence.

[ { "created": "Fri, 14 Nov 2008 19:06:39 GMT", "version": "v1" }, { "created": "Wed, 3 Dec 2008 17:54:39 GMT", "version": "v2" }, { "created": "Tue, 24 Feb 2009 08:44:51 GMT", "version": "v3" } ]

2009-11-13

[ [ "Maeda", "Kei-ichi", "", "Waseda Univ." ], [ "Miyamoto", "Umpei", "", "Hebrew Univ." ] ]

We discuss the phase transitions between three states of a plasma fluid (plasma ball, uniform plasma tube, and non-uniform plasma tube), which are dual to the corresponding finite energy black objects (black hole, uniform black string, and non-uniform black string) localized in an asymptotically locally AdS space. Adopting the equation of state for the fluid obtained by the Scherk-Schwarz compactification of a conformal field theory, we obtain axisymmetric static equilibrium states of the plasma fluid and draw the phase diagrams with their thermodynamical quantities. By use of the fluid/gravity correspondence, we predict the phase diagrams of the AdS black holes and strings on the gravity side. The thermodynamic phase diagrams of the AdS black holes and strings show many similarities to those of the black hole-black string system in a Kaluza-Klein vacuum. For instance, the critical dimension for the smooth transition from the uniform to non-uniform strings is the same as that in the Kaluza-Klein vacuum in the canonical ensemble. The analysis in this paper may provide a holographic understanding of the relation between the Rayleigh-Plateau and Gregory-Laflamme instabilities via the fluid/gravity correspondence.

6.633116

6.19333

6.972028

6.484348

6.720439

6.439965

6.514015

6.629172

6.115967

7.793969

6.477971

6.424312

6.696499

6.47718

6.516447

6.434985

6.595778

6.467586

6.569759

6.706741

6.361799

1905.07413

Bartlomiej Czech

Bartlomiej Czech, Yaithd D. Olivas, Zi-zhi Wang

Holographic integral geometry with time dependence

21 pages plus references, 6 figures

null

10.1007/JHEP12(2020)063

null

hep-th

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

We write down Crofton formulas--expressions that compute lengths of spacelike curves in asymptotically AdS$_3$ geometries as integrals over kinematic space--which apply when the curve and/or the background spacetime is time-dependent. Relative to their static predecessor, the time-dependent Crofton formulas display several new features, whose origin is the local null rotation symmetry of the bulk geometry. In pure AdS$_3$ where null rotations are global symmetries, the Crofton formulas simplify and become integrals over the null planes, which intersect the bulk curve.

[ { "created": "Fri, 17 May 2019 18:00:00 GMT", "version": "v1" } ]

2020-12-30

[ [ "Czech", "Bartlomiej", "" ], [ "Olivas", "Yaithd D.", "" ], [ "Wang", "Zi-zhi", "" ] ]

We write down Crofton formulas--expressions that compute lengths of spacelike curves in asymptotically AdS$_3$ geometries as integrals over kinematic space--which apply when the curve and/or the background spacetime is time-dependent. Relative to their static predecessor, the time-dependent Crofton formulas display several new features, whose origin is the local null rotation symmetry of the bulk geometry. In pure AdS$_3$ where null rotations are global symmetries, the Crofton formulas simplify and become integrals over the null planes, which intersect the bulk curve.

11.620732

11.569374

13.864573

10.21111

11.519745

11.574409

12.546116

10.722205

9.941393

14.136136

10.09424

10.421777

10.751898

10.110537

10.171855

10.308305

10.504107

10.754406

10.042665

11.722835

9.841249

hep-th/0412188

Matthias Staudacher

The Factorized S-Matrix of CFT/AdS

38 pages, LaTeX, JHEP3.cls

JHEP 0505:054,2005

10.1088/1126-6708/2005/05/054

AEI-2004-107, NSF-KITP-04-122

hep-th

null

We argue that the recently discovered integrability in the large-N CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that, perhaps, the key tool for finding the spectrum of this system is neither the gauge theory's dilatation operator nor the string sigma model's quantum Hamiltonian, but instead the respective factorized S-matrix. To illustrate the idea, we focus on the closed fermionic su(1|1) sector of the N=4 gauge theory. We introduce a new technique, the perturbative asymptotic Bethe ansatz, and use it to extract this sector's three-loop S-matrix from Beisert's involved algebraic work on the three-loop su(2|3) sector. We then show that the current knowledge about semiclassical and near-plane-wave quantum strings in the su(2), su(1|1) and sl(2) sectors of AdS_5 x S^5 is fully consistent with the existence of a factorized S-matrix. Analyzing the available information, we find an intriguing relation between the three associated S-matrices. Assuming that the relation also holds in gauge theory, we derive the three-loop S-matrix of the sl(2) sector even though this sector's dilatation operator is not yet known beyond one loop. The resulting Bethe ansatz reproduces the three-loop anomalous dimensions of twist-two operators recently conjectured by Kotikov, Lipatov, Onishchenko and Velizhanin, whose work is based on a highly complex QCD computation of Moch, Vermaseren and Vogt.

[ { "created": "Fri, 17 Dec 2004 17:43:54 GMT", "version": "v1" } ]

2009-11-10

[ [ "Staudacher", "Matthias", "" ] ]

We argue that the recently discovered integrability in the large-N CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that, perhaps, the key tool for finding the spectrum of this system is neither the gauge theory's dilatation operator nor the string sigma model's quantum Hamiltonian, but instead the respective factorized S-matrix. To illustrate the idea, we focus on the closed fermionic su(1|1) sector of the N=4 gauge theory. We introduce a new technique, the perturbative asymptotic Bethe ansatz, and use it to extract this sector's three-loop S-matrix from Beisert's involved algebraic work on the three-loop su(2|3) sector. We then show that the current knowledge about semiclassical and near-plane-wave quantum strings in the su(2), su(1|1) and sl(2) sectors of AdS_5 x S^5 is fully consistent with the existence of a factorized S-matrix. Analyzing the available information, we find an intriguing relation between the three associated S-matrices. Assuming that the relation also holds in gauge theory, we derive the three-loop S-matrix of the sl(2) sector even though this sector's dilatation operator is not yet known beyond one loop. The resulting Bethe ansatz reproduces the three-loop anomalous dimensions of twist-two operators recently conjectured by Kotikov, Lipatov, Onishchenko and Velizhanin, whose work is based on a highly complex QCD computation of Moch, Vermaseren and Vogt.

7.328629

7.478586

8.44842

7.084428

7.556987

7.300436

7.129611

6.975279

7.230547

9.543869

6.936248

7.305554

7.636055

7.093546

7.229263

7.053788

7.191126

7.291126

7.103485

7.436217

6.925158

2212.02511

Giuseppe Bruno De Luca

G. Bruno De Luca, Nicol\`o De Ponti, Andrea Mondino, Alessandro Tomasiello

Gravity from thermodynamics: optimal transport and negative effective dimensions

57 pages + 4 appendices, 4 figures. v2: expanded introduction and comments on the Casimir vacuum. v3: clarification on the agreement of the Casimir vacuum with conjectured bounds

SciPost Phys. 15, 039 (2023)

10.21468/SciPostPhys.15.2.039

null

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

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

We prove an equivalence between the classical equations of motion governing vacuum gravity compactifications (and more general warped-product spacetimes) and a concavity property of entropy under time evolution. This is obtained by linking the theory of optimal transport to the Raychaudhuri equation in the internal space, where the warp factor introduces effective notions of curvature and (negative) internal dimension. When the Reduced Energy Condition is satisfied, concavity can be characterized in terms of the cosmological constant $\Lambda$; as a consequence, the masses of the spin-two Kaluza-Klein fields obey bounds in terms of $\Lambda$ alone. We show that some Cheeger bounds on the KK spectrum hold even without assuming synthetic Ricci lower bounds, in the large class of infinitesimally Hilbertian metric measure spaces, which includes D-brane and O-plane singularities. As an application, we show how some approximate string theory solutions in the literature achieve scale separation, and we construct a new explicit parametrically scale-separated AdS solution of M-theory supported by Casimir energy.

[ { "created": "Mon, 5 Dec 2022 19:00:00 GMT", "version": "v1" }, { "created": "Fri, 12 May 2023 19:19:25 GMT", "version": "v2" }, { "created": "Fri, 15 Dec 2023 22:25:56 GMT", "version": "v3" } ]

2023-12-19

[ [ "De Luca", "G. Bruno", "" ], [ "De Ponti", "Nicolò", "" ], [ "Mondino", "Andrea", "" ], [ "Tomasiello", "Alessandro", "" ] ]

We prove an equivalence between the classical equations of motion governing vacuum gravity compactifications (and more general warped-product spacetimes) and a concavity property of entropy under time evolution. This is obtained by linking the theory of optimal transport to the Raychaudhuri equation in the internal space, where the warp factor introduces effective notions of curvature and (negative) internal dimension. When the Reduced Energy Condition is satisfied, concavity can be characterized in terms of the cosmological constant $\Lambda$; as a consequence, the masses of the spin-two Kaluza-Klein fields obey bounds in terms of $\Lambda$ alone. We show that some Cheeger bounds on the KK spectrum hold even without assuming synthetic Ricci lower bounds, in the large class of infinitesimally Hilbertian metric measure spaces, which includes D-brane and O-plane singularities. As an application, we show how some approximate string theory solutions in the literature achieve scale separation, and we construct a new explicit parametrically scale-separated AdS solution of M-theory supported by Casimir energy.

15.789392

17.841185

17.36623

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17.992128

18.278831

18.335251

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16.009459

15.949734

15.998246

15.899615

16.188047

16.208485

16.572006

15.219687

1005.1700

Hisham Sati

Geometry of Spin and Spin^c structures in the M-theory partition function

86 pages, minor changes and improvements, published version (112 pages)

Rev. Math. Phys. 24 (2012) 1250005

10.1142/S0129055X12500055

null

hep-th math.DG

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

We study the effects of having multiple Spin structures on the partition function of the spacetime fields in M-theory. This leads to a potential anomaly which appears in the eta-invariants upon variation of the Spin structure. The main source of such spaces are manifolds with nontrivial fundamental group, which are also important in realistic models. We extend the discussion to the Spin^c case and find the phase of the partition function, and revisit the quantization condition for the C-field in this case. In type IIA string theory in ten dimensions, the mod 2 index of the Dirac operator is the obstruction to having a well-defined partition function. We geometrically characterize manifolds with and without such an anomaly and extend to the case of nontrivial fundamental group. The lift to KO-theory gives the alpha-invariant, which in general depends on the Spin structure. This reveals many interesting connection to positive scalar curvature manifolds and constructions related to the Gromov-Lawson-Rosenberg conjecture. In the twelve-dimensional theory bounding M-theory, we study similar geometric questions, including choices of metrics and obtaining elements of K-theory in ten dimensions by pushforward in K-theory on the disk fiber. We interpret the latter in terms of the families index theorem for Dirac operators on the M-theory circle and disk. This involves superconnections, eta-forms, and infinite-dimensional bundles, and gives elements in Deligne cohomology in lower dimensions. We illustrate our discussion with many examples throughout.

[ { "created": "Tue, 11 May 2010 01:29:24 GMT", "version": "v1" }, { "created": "Wed, 23 Jun 2010 10:34:19 GMT", "version": "v2" }, { "created": "Sun, 1 Apr 2012 11:13:44 GMT", "version": "v3" } ]

2012-04-03

[ [ "Sati", "Hisham", "" ] ]

We study the effects of having multiple Spin structures on the partition function of the spacetime fields in M-theory. This leads to a potential anomaly which appears in the eta-invariants upon variation of the Spin structure. The main source of such spaces are manifolds with nontrivial fundamental group, which are also important in realistic models. We extend the discussion to the Spin^c case and find the phase of the partition function, and revisit the quantization condition for the C-field in this case. In type IIA string theory in ten dimensions, the mod 2 index of the Dirac operator is the obstruction to having a well-defined partition function. We geometrically characterize manifolds with and without such an anomaly and extend to the case of nontrivial fundamental group. The lift to KO-theory gives the alpha-invariant, which in general depends on the Spin structure. This reveals many interesting connection to positive scalar curvature manifolds and constructions related to the Gromov-Lawson-Rosenberg conjecture. In the twelve-dimensional theory bounding M-theory, we study similar geometric questions, including choices of metrics and obtaining elements of K-theory in ten dimensions by pushforward in K-theory on the disk fiber. We interpret the latter in terms of the families index theorem for Dirac operators on the M-theory circle and disk. This involves superconnections, eta-forms, and infinite-dimensional bundles, and gives elements in Deligne cohomology in lower dimensions. We illustrate our discussion with many examples throughout.

12.355644

13.536724

14.633161

12.069366

13.774916

13.455747

12.98271

13.018854

13.029107

15.09333

11.975635

12.681657

13.364466

12.444715

12.293131

12.707393

12.17455

12.464527

12.352748

13.23647

12.144987

hep-th/9712116

Peter Cho

Moduli in Exceptional SUSY Gauge Theories

20 pages, harvmac and tables macros

Phys.Rev. D57 (1998) 5214-5223

10.1103/PhysRevD.57.5214

HUTP-97/A099

hep-th hep-ph

null

The low energy structures of N=1 supersymmetric models with E_6, F_4 and E_7 gauge groups and fundamental irrep matter contents are studied herein. We identify sets of gauge invariant composites which label all flat directions in the confining/Higgs phases of these theories. The impossibility of mapping several of these primary operators rules out previously conjectured exceptional self duals reported in the literature.

[ { "created": "Thu, 11 Dec 1997 18:27:47 GMT", "version": "v1" } ]

2009-10-30

[ [ "Cho", "Peter", "" ] ]

The low energy structures of N=1 supersymmetric models with E_6, F_4 and E_7 gauge groups and fundamental irrep matter contents are studied herein. We identify sets of gauge invariant composites which label all flat directions in the confining/Higgs phases of these theories. The impossibility of mapping several of these primary operators rules out previously conjectured exceptional self duals reported in the literature.

35.304188

28.259508

34.10643

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30.772486

31.171995

28.942949

34.2477

25.784575

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29.440027

31.938391

29.947012

28.817583

28.732109

28.78557

29.40679

30.522699

32.472034

30.015921

2005.01731

Mark Hertzberg

Mark P. Hertzberg, Jacob A. Litterer

Symmetries from Locality. I. Electromagnetism and Charge Conservation

7 pages in double column format. V2: Further clarifications. Updated towards version accepted for publication in Phys. Rev. D. V3: Update to journal title format

Phys. Rev. D 102, 025022 (2020)

10.1103/PhysRevD.102.025022

null

hep-th gr-qc hep-ph

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

It is well known that a theory of the (i) Lorentz invariant and (ii) locally interacting (iii) two degrees of freedom of a massless spin 1 particle, the photon, leads uniquely to electromagnetism at large distances. In this work, we remove the assumption of (i) Lorentz boost invariance, but we still demand (ii) and (iii). We consider several broad classes of theories of spin 1, which in general explicitly violate Lorentz symmetry. We restrict to the familiar two degrees of freedom of the photon. We find that most theories lead to non-locality and instantaneous signaling at a distance. By demanding a mild form of locality (ii), namely that the tree-level exchange action is manifestly local, we find that the photon must still be sourced by a conserved charge with an associated internal symmetry. This recovers the central features of electromagnetism, although it does not by itself impose Lorentz boost symmetry. The case of gravitation dramatically improves the final conclusion and is reported in detail in our accompanying paper Part 2.

[ { "created": "Mon, 4 May 2020 18:00:03 GMT", "version": "v1" }, { "created": "Wed, 1 Jul 2020 21:46:46 GMT", "version": "v2" }, { "created": "Tue, 11 Aug 2020 01:23:36 GMT", "version": "v3" } ]

2020-08-12

[ [ "Hertzberg", "Mark P.", "" ], [ "Litterer", "Jacob A.", "" ] ]

It is well known that a theory of the (i) Lorentz invariant and (ii) locally interacting (iii) two degrees of freedom of a massless spin 1 particle, the photon, leads uniquely to electromagnetism at large distances. In this work, we remove the assumption of (i) Lorentz boost invariance, but we still demand (ii) and (iii). We consider several broad classes of theories of spin 1, which in general explicitly violate Lorentz symmetry. We restrict to the familiar two degrees of freedom of the photon. We find that most theories lead to non-locality and instantaneous signaling at a distance. By demanding a mild form of locality (ii), namely that the tree-level exchange action is manifestly local, we find that the photon must still be sourced by a conserved charge with an associated internal symmetry. This recovers the central features of electromagnetism, although it does not by itself impose Lorentz boost symmetry. The case of gravitation dramatically improves the final conclusion and is reported in detail in our accompanying paper Part 2.

11.48747

11.744773

11.602386

11.042706

11.631234

11.803352

11.484113

11.412798

11.301234

13.670387

11.345255

11.034705

10.821974

10.733979

10.675462

10.69885

10.960745

10.782226

10.930072

11.288365

11.034476

hep-th/0205171

Frank Ferrari

Frank Ferrari (Princeton and Neuchatel Universities)

Four dimensional non-critical strings

27 pages, 2 figures. Based on a talk given in Les Houches. v2: one erroneous formula corrected. v3: typos corrected

null

PUPT-2027, NEIP-02-003, LPTENS-02/18

hep-th

null

This is a set of lectures on the gauge/string duality and non-critical strings, with a particular emphasis on the discretized, or matrix model, approach. After a general discussion of various points of view, I describe the recent generalization to four dimensional non-critical (or five dimensional critical) string theories of the matrix model approach. This yields a fully non-perturbative and explicit definition of string theories with eight (or more) supercharges that are related to four dimensional CFTs and their relevant deformations. The space-time as well as world-sheet dimensions of the supersymmetry preserving world-sheet couplings are obtained. Exact formulas for the central charge of the space-time supersymmetry algebra as a function of these couplings are calculated. They include infinite series of string perturbative contributions as well as all the non-perturbative effects. An important insight on the gauge theory side is that instantons yield a non-trivial 1/N expansion at strong coupling, and generate open string contributions, in addition to the familiar closed strings from Feynman diagrams. We indicate various open problems and future directions of research.

[ { "created": "Thu, 16 May 2002 14:44:45 GMT", "version": "v1" }, { "created": "Fri, 17 May 2002 09:36:56 GMT", "version": "v2" }, { "created": "Fri, 16 Aug 2002 08:57:30 GMT", "version": "v3" } ]

2007-05-23

[ [ "Ferrari", "Frank", "", "Princeton and Neuchatel Universities" ] ]

This is a set of lectures on the gauge/string duality and non-critical strings, with a particular emphasis on the discretized, or matrix model, approach. After a general discussion of various points of view, I describe the recent generalization to four dimensional non-critical (or five dimensional critical) string theories of the matrix model approach. This yields a fully non-perturbative and explicit definition of string theories with eight (or more) supercharges that are related to four dimensional CFTs and their relevant deformations. The space-time as well as world-sheet dimensions of the supersymmetry preserving world-sheet couplings are obtained. Exact formulas for the central charge of the space-time supersymmetry algebra as a function of these couplings are calculated. They include infinite series of string perturbative contributions as well as all the non-perturbative effects. An important insight on the gauge theory side is that instantons yield a non-trivial 1/N expansion at strong coupling, and generate open string contributions, in addition to the familiar closed strings from Feynman diagrams. We indicate various open problems and future directions of research.

10.476663

10.374565

11.471546

9.767217

10.446039

10.656195

10.526033

10.150626

9.807292

11.773181

9.765288

10.490031

10.358759

10.299007

10.457953

10.348076

10.252146

10.440031

10.512104

10.66581

10.088081

hep-th/0104215

Stefan Vandoren

Bernard de Wit, Martin Rocek and Stefan Vandoren

Gauging Isometries on Hyperkahler Cones and Quaternion-Kahler Manifolds

15 pages

Phys.Lett. B511 (2001) 302-310

10.1016/S0370-2693(01)00636-0

null

hep-th

null

We extend our previous results on the relation between quaternion-Kahler manifolds and hyperkahler cones and we describe how isometries, moment maps and scalar potentials descend from the cone to the quaternion-Kahler space. As an example of the general construction, we discuss the gauging and the corresponding scalar potential of hypermultiplets with the unitary Wolf spaces as target spaces. This class includes the universal hypermultiplet.

[ { "created": "Tue, 24 Apr 2001 20:18:59 GMT", "version": "v1" } ]

2009-11-07

[ [ "de Wit", "Bernard", "" ], [ "Rocek", "Martin", "" ], [ "Vandoren", "Stefan", "" ] ]

We extend our previous results on the relation between quaternion-Kahler manifolds and hyperkahler cones and we describe how isometries, moment maps and scalar potentials descend from the cone to the quaternion-Kahler space. As an example of the general construction, we discuss the gauging and the corresponding scalar potential of hypermultiplets with the unitary Wolf spaces as target spaces. This class includes the universal hypermultiplet.

10.804276

8.550051

11.662132

8.414478

8.197194

8.540815

7.905674

8.948564

8.961888

12.199349

7.721094

8.173975

9.7807

8.563044

8.656358

8.472433

8.200038

8.281011

8.876985

8.950059

8.515749

2405.20366

Anatoly Dymarsky

Anatoly Dymarsky and Alfred Shapere

Bulk derivation of TQFT gravity

28 pages, 2 figures

null

hep-th

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

We outline a general derivation of holographic duality between "TQFT gravity" - the path integral of a 3d TQFT summed over different topologies - and an ensemble of boundary 2d CFTs. The key idea is to place the boundary ensemble on a Riemann surface of very high genus, where the duality trivializes. The duality relation at finite genus is then obtained by genus reduction. Our derivation is generic and does not rely on an explicit form of the bulk or boundary partition functions. It guarantees unitarity and suggests that the bulk sum should include all possible topologies. In the case of Abelian Chern-Simons theory with compact gauge group we show that the weights of the boundary ensemble are equal, while the bulk sum reduces to a finite sum over equivalence classes of topologies, represented by handlebodies with possible line defects.

[ { "created": "Thu, 30 May 2024 18:00:00 GMT", "version": "v1" } ]

2024-06-03

[ [ "Dymarsky", "Anatoly", "" ], [ "Shapere", "Alfred", "" ] ]

We outline a general derivation of holographic duality between "TQFT gravity" - the path integral of a 3d TQFT summed over different topologies - and an ensemble of boundary 2d CFTs. The key idea is to place the boundary ensemble on a Riemann surface of very high genus, where the duality trivializes. The duality relation at finite genus is then obtained by genus reduction. Our derivation is generic and does not rely on an explicit form of the bulk or boundary partition functions. It guarantees unitarity and suggests that the bulk sum should include all possible topologies. In the case of Abelian Chern-Simons theory with compact gauge group we show that the weights of the boundary ensemble are equal, while the bulk sum reduces to a finite sum over equivalence classes of topologies, represented by handlebodies with possible line defects.

10.376131

10.038699

11.753574

9.883485

10.458238

10.329103

10.700294

9.752476

9.712143

12.852037

9.274858

9.411067

9.98315

9.628389

9.604494

9.853538

9.303008

9.403984

9.466224

10.287058

9.586027

2212.13653

Max Guillen

Taming the 11D pure spinor b-ghost

23 pages

null

10.1007/JHEP03(2023)135

null

hep-th

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

We provide an alternative compact expression for the 11D pure spinor b-ghost by introducing a new set of negative ghost number operators made out of non-minimal pure spinor variables. Using the algebraic properties satisfied by these operators, it will be straightforwardly shown that $\{Q, b\}={P^2\over 2}$, as well as $\{b,b\} = Q\Omega$. As an application of this novel formulation, the ghost number two vertex operator will easily be obtained in a completely covariant manner from a standard descent relation, the ghost number three vertex operator will be shown to satisfy the generalized Siegel gauge condition, and the 11D supergravity two-particle superfield will be constructed in a quite simple way.

[ { "created": "Wed, 28 Dec 2022 00:29:29 GMT", "version": "v1" } ]

2023-04-05

[ [ "Guillen", "Max", "" ] ]

We provide an alternative compact expression for the 11D pure spinor b-ghost by introducing a new set of negative ghost number operators made out of non-minimal pure spinor variables. Using the algebraic properties satisfied by these operators, it will be straightforwardly shown that $\{Q, b\}={P^2\over 2}$, as well as $\{b,b\} = Q\Omega$. As an application of this novel formulation, the ghost number two vertex operator will easily be obtained in a completely covariant manner from a standard descent relation, the ghost number three vertex operator will be shown to satisfy the generalized Siegel gauge condition, and the 11D supergravity two-particle superfield will be constructed in a quite simple way.

12.627778

11.011155

14.694077

11.381321

11.451764

12.274967

11.399184

10.741761

10.665074

15.007892

10.897752

11.983749

13.059667

11.474973

11.600582

11.871238

11.81464

11.546346

11.359775

12.453682

11.32937

2006.10007

Jose Edelstein

Jose D. Edelstein, David V\'azquez Rodr\'iguez, Alejandro Vilar L\'opez

Aspects of Geometric Inflation

20 pages, 3 figures; v2: minor amendments and additions

null

10.1088/1475-7516/2020/12/040

null

hep-th gr-qc

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

We revisit the recently proposed mechanism of Geometric Inflation. On general grounds, we show that obtaining the right amount of inflation demands an exceedingly large initial energy density. We introduce a scalar field and study the combined action of both mechanisms. Besides fixing the aforementioned issue, a cascading process occurs whose last step seems undistinguishable from ordinary large field inflation. Strikingly, the scalar field remains approximately constant while Geometric Inflation rules the dynamics. This ultimately leads to the possibility of reducing the initial value of the scalar field and its excursion. We discuss the main features of this hybrid scenario.

[ { "created": "Wed, 17 Jun 2020 17:13:11 GMT", "version": "v1" }, { "created": "Mon, 19 Oct 2020 10:12:15 GMT", "version": "v2" } ]

2021-01-06

[ [ "Edelstein", "Jose D.", "" ], [ "Rodríguez", "David Vázquez", "" ], [ "López", "Alejandro Vilar", "" ] ]

We revisit the recently proposed mechanism of Geometric Inflation. On general grounds, we show that obtaining the right amount of inflation demands an exceedingly large initial energy density. We introduce a scalar field and study the combined action of both mechanisms. Besides fixing the aforementioned issue, a cascading process occurs whose last step seems undistinguishable from ordinary large field inflation. Strikingly, the scalar field remains approximately constant while Geometric Inflation rules the dynamics. This ultimately leads to the possibility of reducing the initial value of the scalar field and its excursion. We discuss the main features of this hybrid scenario.

16.240784

17.455378

14.94373

14.547379

17.306202

14.690392

17.607836

16.805273

16.340168

16.476046

15.536391

15.424964

15.340636

15.657117

15.561904

15.578483

15.741499

15.379938

15.962481

15.387051

15.635239

1510.02099

Netta Engelhardt

Raphael Bousso and Netta Engelhardt

Generalized Second Law for Cosmology

14 pages, 5 figures

Phys. Rev. D 93, 024025 (2016)

10.1103/PhysRevD.93.024025

null

hep-th gr-qc

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

We conjecture a novel Generalized Second Law that can be applied in cosmology, regardless of whether an event horizon is present: the generalized entropy increases monotonically outside of certain hypersurfaces we call past Q-screens. A past Q-screen is foliated by surfaces whose generalized entropy (sum of area and entanglement entropy) is stationary along one future null direction and increasing along the other. We prove that our Generalized Second Law holds in spacetimes obeying the Quantum Focussing Conjecture. An analogous law applies to future Q-screens, which appear inside evaporating black holes and in collapsing regions.

[ { "created": "Wed, 7 Oct 2015 20:10:35 GMT", "version": "v1" } ]

2016-01-20

[ [ "Bousso", "Raphael", "" ], [ "Engelhardt", "Netta", "" ] ]

We conjecture a novel Generalized Second Law that can be applied in cosmology, regardless of whether an event horizon is present: the generalized entropy increases monotonically outside of certain hypersurfaces we call past Q-screens. A past Q-screen is foliated by surfaces whose generalized entropy (sum of area and entanglement entropy) is stationary along one future null direction and increasing along the other. We prove that our Generalized Second Law holds in spacetimes obeying the Quantum Focussing Conjecture. An analogous law applies to future Q-screens, which appear inside evaporating black holes and in collapsing regions.

9.165778

8.847471

9.38835

8.376753

8.144248

8.018225

9.178794

8.579795

8.154047

11.405684

8.872173

8.667493

8.910542

9.09673

8.568004

8.982107

9.225066

8.45005

8.726722

8.840791

8.647621

hep-th/0010291

Kurt Lechner

K. Lechner and P.A. Marchetti

Spin-statistics transmutation in relativistic quantum field theories of dyons

32 pages, LaTeX, no figures

JHEP 0012 (2000) 028

10.1088/1126-6708/2000/12/028

DFPD/00/TH/33, October 2000

hep-th

null

We analyse spin and statistics of quantum dyon fields, i.e. fields carrying both electric and magnetic charge, in 3+1 space-time dimensions. It has been shown long time ago that, at the quantum mechanical level, a composite dyon made out of a magnetic pole of charge g and a particle of electric charge e possesses half-integral spin and fermionic statistics, if the constituents are bosons and the Dirac quantization condition $eg=2\pi n$ holds, with n odd. This phenomenon is called spin-statistics transmutation. We show that the same phenomenon occurs at the quantum field theory level for an elementary dyon. This analysis requires the construction of gauge invariant charged dyon fields. Dirac's proposal for such fields, relying on a Coulomb-like photon cloud, leads to quantum correlators exhibiting an unphysical dependence on the Dirac-string. Recently Froehlich and Marchetti proposed a recipe for charged dyon fields, based on a sum over Mandelstam-strings, which overcomes this problem. Using this recipe we derive explicit expressions for the quantum field theory correlators and we provide a proof of the occurrence of spin-statistics transmutation. The proof reduces to a computation of the self-linking numbers of dyon worldlines and Mandelstam strings, projected on a fixed time three-space. Dyon composites are also analysed. The transmutation discussed in this paper bares some analogy with the appearance of anomalous spin and statistics for particles or vortices in Chern-Simons theories in 2+1 dimensions. However, peculiar features appear in 3+1 dimensions e.g. in the spin addition rule.

[ { "created": "Tue, 31 Oct 2000 17:36:27 GMT", "version": "v1" } ]

2009-10-31

[ [ "Lechner", "K.", "" ], [ "Marchetti", "P. A.", "" ] ]

We analyse spin and statistics of quantum dyon fields, i.e. fields carrying both electric and magnetic charge, in 3+1 space-time dimensions. It has been shown long time ago that, at the quantum mechanical level, a composite dyon made out of a magnetic pole of charge g and a particle of electric charge e possesses half-integral spin and fermionic statistics, if the constituents are bosons and the Dirac quantization condition $eg=2\pi n$ holds, with n odd. This phenomenon is called spin-statistics transmutation. We show that the same phenomenon occurs at the quantum field theory level for an elementary dyon. This analysis requires the construction of gauge invariant charged dyon fields. Dirac's proposal for such fields, relying on a Coulomb-like photon cloud, leads to quantum correlators exhibiting an unphysical dependence on the Dirac-string. Recently Froehlich and Marchetti proposed a recipe for charged dyon fields, based on a sum over Mandelstam-strings, which overcomes this problem. Using this recipe we derive explicit expressions for the quantum field theory correlators and we provide a proof of the occurrence of spin-statistics transmutation. The proof reduces to a computation of the self-linking numbers of dyon worldlines and Mandelstam strings, projected on a fixed time three-space. Dyon composites are also analysed. The transmutation discussed in this paper bares some analogy with the appearance of anomalous spin and statistics for particles or vortices in Chern-Simons theories in 2+1 dimensions. However, peculiar features appear in 3+1 dimensions e.g. in the spin addition rule.

8.771111

8.825527

9.54335

8.956945

9.875288

9.553319

10.15175

9.217997

8.945083

10.029627

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9.043634

8.725698

8.615511

8.719036

8.70771

8.926045

8.627432

8.738101

8.699561

8.741187

hep-th/9304120

Reinhard Werner

R.F. Werner

The Free Quon Gas Suffers Gibbs' Paradox

number-of-pages, LaTeX with REVTEX

Phys.Rev. D48 (1993) 2929-2934

10.1103/PhysRevD.48.2929

null

hep-th

null

We consider the Statistical Mechanics of systems of particles satisfying the $q$-commutation relations recently proposed by Greenberg and others. We show that although the commutation relations approach Bose (resp.\ Fermi) relations for $q\to1$ (resp.\ $q\to-1$), the partition functions of free gases are independent of $q$ in the range $-1<q<1$. The partition functions exhibit Gibbs' Paradox in the same way as a classical gas without a correction factor $1/N!$ for the statistical weight of the $N$-particle phase space, i.e.\ the Statistical Mechanics does not describe a material for which entropy, free energy, and particle number are extensive thermodynamical quantities.

[ { "created": "Mon, 26 Apr 1993 08:55:50 GMT", "version": "v1" } ]

2009-10-22

[ [ "Werner", "R. F.", "" ] ]

We consider the Statistical Mechanics of systems of particles satisfying the $q$-commutation relations recently proposed by Greenberg and others. We show that although the commutation relations approach Bose (resp.\ Fermi) relations for $q\to1$ (resp.\ $q\to-1$), the partition functions of free gases are independent of $q$ in the range $-1<q<1$. The partition functions exhibit Gibbs' Paradox in the same way as a classical gas without a correction factor $1/N!$ for the statistical weight of the $N$-particle phase space, i.e.\ the Statistical Mechanics does not describe a material for which entropy, free energy, and particle number are extensive thermodynamical quantities.

8.521801

9.694685

9.885884

9.305437

10.710365

10.164108

8.767964

9.095445

8.770398

10.607224

8.316021

8.19038

8.775273

8.550956

8.482575

8.387881

8.479094

8.442497

8.365874

8.765341

8.44586

2202.10499

Nathan Moynihan

William T. Emond and Nathan Moynihan

Scattering Amplitudes and The Cotton Double Copy

null

hep-th gr-qc

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

We construct classical curvature spinors in topologically massive gauge theory and topologically massive gravity, expressed in terms of massive three-particle amplitudes. We show that when the amplitudes double copy, the curvature spinors satisfy the Cotton double copy, the three-dimensional cousin of the Weyl double copy. Furthermore, we show that under certain circumstances the Cotton double copy can be derived via a dimensional reduction of the Weyl double copy.

[ { "created": "Mon, 21 Feb 2022 19:16:25 GMT", "version": "v1" } ]

2022-02-23

[ [ "Emond", "William T.", "" ], [ "Moynihan", "Nathan", "" ] ]

We construct classical curvature spinors in topologically massive gauge theory and topologically massive gravity, expressed in terms of massive three-particle amplitudes. We show that when the amplitudes double copy, the curvature spinors satisfy the Cotton double copy, the three-dimensional cousin of the Weyl double copy. Furthermore, we show that under certain circumstances the Cotton double copy can be derived via a dimensional reduction of the Weyl double copy.

9.395135

9.787898

10.530614

8.433595

10.645141

9.419813

8.909128

8.861267

9.281052

12.23278

8.874964

9.007523

9.620986

8.929668

9.171051

8.914584

9.650058

8.854494

8.917392

9.666649

8.493979

1109.3224

Gonzalo A. Palma

Vicente Atal, Luis E. Campusano, Gonzalo A. Palma

Bigravitational inflation

5 pages, v2: discussion changed, published version

Phys. Rev. D 86, 123521 (2012)

10.1103/PhysRevD.86.123521

null

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

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

We study the realization of cosmic inflation in bigravity theories. By analyzing the evolution of scalar, vector, and tensor perturbations in de Sitter-like spacetimes, we find strong stability constraints on the class of viable vacua offered by these theories. More specifically, the only stable de Sitter vacua contain two nondecoupled gravitons (one of which is massive) with different maximal propagation speeds. We derive an effective theory for the massless graviton, which is found to propagate at an intermediate speed, limited by the two maximal values. For inflation, while the spectrum of density perturbations remains nearly scale invariant, the power spectrum of tensor modes is found to depart from the usual prediction found in standard slow-roll inflation. In particular, both the tensor to scalar ratio $r$ and the spectral index of tensor modes $n_T$ receive sizable contributions from the couplings of the theory, leading to specific signals that may be tested in future cosmological probes of CMB polarization.

[ { "created": "Wed, 14 Sep 2011 23:03:21 GMT", "version": "v1" }, { "created": "Thu, 20 Dec 2012 03:51:27 GMT", "version": "v2" } ]

2012-12-21

[ [ "Atal", "Vicente", "" ], [ "Campusano", "Luis E.", "" ], [ "Palma", "Gonzalo A.", "" ] ]

We study the realization of cosmic inflation in bigravity theories. By analyzing the evolution of scalar, vector, and tensor perturbations in de Sitter-like spacetimes, we find strong stability constraints on the class of viable vacua offered by these theories. More specifically, the only stable de Sitter vacua contain two nondecoupled gravitons (one of which is massive) with different maximal propagation speeds. We derive an effective theory for the massless graviton, which is found to propagate at an intermediate speed, limited by the two maximal values. For inflation, while the spectrum of density perturbations remains nearly scale invariant, the power spectrum of tensor modes is found to depart from the usual prediction found in standard slow-roll inflation. In particular, both the tensor to scalar ratio $r$ and the spectral index of tensor modes $n_T$ receive sizable contributions from the couplings of the theory, leading to specific signals that may be tested in future cosmological probes of CMB polarization.

7.650173

8.450929

7.265917

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8.275271

7.77812

8.274342

8.013514

7.943624

8.371269

7.868792

7.558379

7.341735

7.44213

7.440758

7.729487

7.719848

7.396895

7.393751

7.135516

7.656863

hep-th/0101122

Niels Obers

N.A. Obers (Spinoza, ITF), B. Pioline (Harvard, LPTHE)

Exact Thresholds and Instanton Effects in String Theory

24 pages, latex, contribution to the proceedings of the First Workshop of the RTN Network "The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions", Berlin, Germany, 4-10 October 2000

Fortsch.Phys. 49 (2001) 359-375

10.1002/1521-3978(200105)49:4/6<359::AID-PROP359>3.3.CO;2-U

SPIN-01/01, ITP-UU-01/01, HUTP-00/A053, LPTHE-01-51

hep-th

null

In this lecture we summarize some recent work on the understanding of instanton effects in string theories with 16 supersymmetries. In particular, we consider F^4 couplings using the duality between the heterotic string on T^4 and type IIA on K_3 at an orbifold point, as well as higher and lower dimensional versions of this string-string duality. At the perturbative level a non-trivial test of the duality, requiring several miraculous identities, is presented by matching a purely one-loop heterotic amplitude to a purely tree-level type II result. A wide variety of non-perturbative effects is shown to occur in this setting, including D-brane instantons for type IIA on K_3 x S^1 and NS5-brane instantons for type IIA on K_3 x T^2. Moreover, the analysis of the three-dimensional case, which possesses a non-perturbative SO(8,24,Z) U-duality, reveals the presence of Kaluza-Klein 5-brane instanton effects, both on the heterotic and the type II side.

[ { "created": "Thu, 18 Jan 2001 14:03:56 GMT", "version": "v1" } ]

2015-06-25

[ [ "Obers", "N. A.", "", "Spinoza, ITF" ], [ "Pioline", "B.", "", "Harvard, LPTHE" ] ]

In this lecture we summarize some recent work on the understanding of instanton effects in string theories with 16 supersymmetries. In particular, we consider F^4 couplings using the duality between the heterotic string on T^4 and type IIA on K_3 at an orbifold point, as well as higher and lower dimensional versions of this string-string duality. At the perturbative level a non-trivial test of the duality, requiring several miraculous identities, is presented by matching a purely one-loop heterotic amplitude to a purely tree-level type II result. A wide variety of non-perturbative effects is shown to occur in this setting, including D-brane instantons for type IIA on K_3 x S^1 and NS5-brane instantons for type IIA on K_3 x T^2. Moreover, the analysis of the three-dimensional case, which possesses a non-perturbative SO(8,24,Z) U-duality, reveals the presence of Kaluza-Klein 5-brane instanton effects, both on the heterotic and the type II side.

6.467788

5.421067

7.790095

5.593271

5.594689

5.823458

6.066472

5.755116

5.639959

7.287131

5.826755

5.665405

6.305034

5.957391

5.932942

5.92782

5.902224

6.037661

5.836983

6.423182

5.832289

2109.00073

Prahar Mitra

Daniel Kapec and Prahar Mitra

Shadows and Soft Exchange in Celestial CFT

43 pages, 1 figure

null

10.1103/PhysRevD.105.026009

null

hep-th

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

We study exponentiated soft exchange in $d+2$ dimensional gauge and gravitational theories using the celestial CFT formalism. These models exhibit spontaneously broken asymptotic symmetries generated by gauge transformations with non-compact support, and the effective dynamics of the associated Goldstone "edge" mode is expected to be $d$-dimensional. The introduction of an infrared regulator also explicitly breaks these symmetries so the edge mode in the regulated theory is really a $d$-dimensional pseudo-Goldstone boson. Symmetry considerations determine the leading terms in the effective action, whose coefficients are controlled by the infrared cutoff. Computations in this model reproduce the abelian infrared divergences in $d=2$, and capture the re-summed (infrared finite) soft exchange in higher dimensions. The model also reproduces the leading soft theorems in gauge and gravitational theories in all dimensions. Interestingly, we find that it is the shadow transform of the Goldstone mode that has local $d$-dimensional dynamics: the effective action expressed in terms of the Goldstone mode is non-local for $d>2$. We also introduce and discuss new magnetic soft theorems. Our analysis demonstrates that symmetry principles suffice to calculate soft exchange in gauge theory and gravity.

[ { "created": "Tue, 31 Aug 2021 20:47:13 GMT", "version": "v1" } ]

2022-01-19

[ [ "Kapec", "Daniel", "" ], [ "Mitra", "Prahar", "" ] ]

We study exponentiated soft exchange in $d+2$ dimensional gauge and gravitational theories using the celestial CFT formalism. These models exhibit spontaneously broken asymptotic symmetries generated by gauge transformations with non-compact support, and the effective dynamics of the associated Goldstone "edge" mode is expected to be $d$-dimensional. The introduction of an infrared regulator also explicitly breaks these symmetries so the edge mode in the regulated theory is really a $d$-dimensional pseudo-Goldstone boson. Symmetry considerations determine the leading terms in the effective action, whose coefficients are controlled by the infrared cutoff. Computations in this model reproduce the abelian infrared divergences in $d=2$, and capture the re-summed (infrared finite) soft exchange in higher dimensions. The model also reproduces the leading soft theorems in gauge and gravitational theories in all dimensions. Interestingly, we find that it is the shadow transform of the Goldstone mode that has local $d$-dimensional dynamics: the effective action expressed in terms of the Goldstone mode is non-local for $d>2$. We also introduce and discuss new magnetic soft theorems. Our analysis demonstrates that symmetry principles suffice to calculate soft exchange in gauge theory and gravity.

9.768758

9.229859

10.850555

9.178485

9.420238

9.276376

9.418515

9.6032

8.959845

10.72679

9.23116

9.556538

10.146624

9.473742

9.642956

9.486377

9.355905

9.294482

9.403787

10.134582

9.596487

hep-th/0212014

Brett McInnes

The Covariant Entropy Bound, Brane Cosmology, and the Null Energy Condition

21 pages, 3 figures, version 2:corrected and greatly improved discussion of the Bousso-Randall consistency check, references added; version3: more references added, JHEP version

JHEP 0212:053,2002

10.1088/1126-6708/2002/12/053

null

hep-th astro-ph gr-qc

null

In discussions of Bousso's Covariant Entropy Bound, the Null Energy Condition is always assumed, as a sufficient {\em but not necessary} condition which helps to ensure that the entropy on any lightsheet shall necessarily be finite. The spectacular failure of the Strong Energy Condition in cosmology has, however, led many astrophysicists and cosmologists to consider models of dark energy which violate {\em all} of the energy conditions, and indeed the current data do not completely rule out such models. The NEC also has a questionable status in brane cosmology: it is probably necessary to violate the NEC in the bulk in order to obtain a "self-tuning" theory of the cosmological constant. In order to investigate these proposals, we modify the Karch-Randall model by introducing NEC-violating matter into $AdS_5$ in such a way that the brane cosmological constant relaxes to zero. The entropy on lightsheets remains finite. However, we still find that the spacetime is fundamentally incompatible with the Covariant Entropy Bound machinery, in the sense that it fails the Bousso-Randall consistency condition. We argue that holography probably forbids all {\em cosmological} violations of the NEC, and that holography is in fact the fundamental physical principle underlying the cosmological version of the NEC.

[ { "created": "Mon, 2 Dec 2002 13:20:41 GMT", "version": "v1" }, { "created": "Sat, 14 Dec 2002 08:28:21 GMT", "version": "v2" }, { "created": "Sat, 21 Dec 2002 08:33:48 GMT", "version": "v3" } ]

2010-12-23

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

In discussions of Bousso's Covariant Entropy Bound, the Null Energy Condition is always assumed, as a sufficient {\em but not necessary} condition which helps to ensure that the entropy on any lightsheet shall necessarily be finite. The spectacular failure of the Strong Energy Condition in cosmology has, however, led many astrophysicists and cosmologists to consider models of dark energy which violate {\em all} of the energy conditions, and indeed the current data do not completely rule out such models. The NEC also has a questionable status in brane cosmology: it is probably necessary to violate the NEC in the bulk in order to obtain a "self-tuning" theory of the cosmological constant. In order to investigate these proposals, we modify the Karch-Randall model by introducing NEC-violating matter into $AdS_5$ in such a way that the brane cosmological constant relaxes to zero. The entropy on lightsheets remains finite. However, we still find that the spacetime is fundamentally incompatible with the Covariant Entropy Bound machinery, in the sense that it fails the Bousso-Randall consistency condition. We argue that holography probably forbids all {\em cosmological} violations of the NEC, and that holography is in fact the fundamental physical principle underlying the cosmological version of the NEC.

9.07366

9.041164

9.436171

9.20423

9.462437

8.927882

9.618532

9.384147

9.480837

10.284584

9.323223

8.751887

8.949191

8.796183

8.645996

8.743631

8.855289

8.556111

8.80788

9.077647

8.766894

1805.04504

Arthur Lipstein

Joseph A. Farrow and Arthur E. Lipstein

New Worldsheet Formulae for Conformal Supergravity Amplitudes

v3. minor changes, published in JHEP

null

10.1007/JHEP07(2018)074

null

hep-th

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

We use 4d ambitwistor string theory to derive new worldsheet formulae for tree-level conformal supergravity amplitudes supported on refined scattering equations. Unlike the worldsheet formulae for super-Yang-Mills or supergravity, the scattering equations for conformal supergravity are not in general refined by MHV degree. Nevertheless, we obtain a concise worldsheet formula for any number of scalars and gravitons which we lift to a manifestly supersymmetric formula using four types of vertex operators. The theory also contains states with non-plane wave boundary conditions and we show that the corresponding amplitudes can be obtained from plane-wave amplitudes by applying momentum derivatives. Such derivatives are subtle to define since the formulae are intrinsically four-dimensional and on-shell, so we develop a method for computing momentum derivatives of spinor variables.

[ { "created": "Fri, 11 May 2018 17:43:08 GMT", "version": "v1" }, { "created": "Mon, 4 Jun 2018 13:59:20 GMT", "version": "v2" }, { "created": "Wed, 11 Jul 2018 16:07:49 GMT", "version": "v3" } ]

2018-07-12

[ [ "Farrow", "Joseph A.", "" ], [ "Lipstein", "Arthur E.", "" ] ]

We use 4d ambitwistor string theory to derive new worldsheet formulae for tree-level conformal supergravity amplitudes supported on refined scattering equations. Unlike the worldsheet formulae for super-Yang-Mills or supergravity, the scattering equations for conformal supergravity are not in general refined by MHV degree. Nevertheless, we obtain a concise worldsheet formula for any number of scalars and gravitons which we lift to a manifestly supersymmetric formula using four types of vertex operators. The theory also contains states with non-plane wave boundary conditions and we show that the corresponding amplitudes can be obtained from plane-wave amplitudes by applying momentum derivatives. Such derivatives are subtle to define since the formulae are intrinsically four-dimensional and on-shell, so we develop a method for computing momentum derivatives of spinor variables.

10.388181

10.484306

12.771925

9.317615

9.816195

9.903738

9.58486

9.141627

9.626656

12.701898

9.531433

9.548899

10.216492

9.367319

9.286898

9.297688

9.38922

9.521519

9.325604

10.812646

9.60538

1801.03245

Arjun Bagchi

Arjun Bagchi, Rudranil Basu, St\'ephane Detournay, and Pulastya Parekh

Flatspace Chiral Supergravity

30 pages

Phys. Rev. D 97, 106020 (2018)

10.1103/PhysRevD.97.106020

null

hep-th

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

We propose a holographic duality between a 2 dimensional (2d) chiral superconformal field theory and a certain theory of supergravity in 3d with flatspace boundary conditions that is obtained as a double scaling limit of a parity breaking theory of supergravity. We show how the asymptotic symmetries of the bulk theory reduce from the "despotic" Super Bondi-Metzner-Sachs algebra (or equivalently the Inhomogeneous Super Galilean Conformal Algebra) to a single copy of the Super-Virasoro algebra in this limit and also reproduce the same reduction from a study of null vectors in the putative 2d dual field theory.

[ { "created": "Wed, 10 Jan 2018 06:00:33 GMT", "version": "v1" } ]

2018-05-30

[ [ "Bagchi", "Arjun", "" ], [ "Basu", "Rudranil", "" ], [ "Detournay", "Stéphane", "" ], [ "Parekh", "Pulastya", "" ] ]

We propose a holographic duality between a 2 dimensional (2d) chiral superconformal field theory and a certain theory of supergravity in 3d with flatspace boundary conditions that is obtained as a double scaling limit of a parity breaking theory of supergravity. We show how the asymptotic symmetries of the bulk theory reduce from the "despotic" Super Bondi-Metzner-Sachs algebra (or equivalently the Inhomogeneous Super Galilean Conformal Algebra) to a single copy of the Super-Virasoro algebra in this limit and also reproduce the same reduction from a study of null vectors in the putative 2d dual field theory.

8.410734

8.703397

10.442135

8.782959

8.554358

9.163825

8.519242

9.059388

8.743757

11.718885

9.014866

8.3645

10.126287

8.307278

9.124138

8.833804

8.32283

8.688273

8.570276

9.305485

8.491046

0807.5113

Maxim Zabzine

Giulio Bonelli, Alessandro Tanzini and Maxim Zabzine

Topological branes, p-algebras and generalized Nahm equations

20 pages

Phys.Lett.B672:390-395,2009

10.1016/j.physletb.2009.01.051

null

hep-th math-ph math.MP

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

Inspired by the recent advances in multiple M2-brane theory, we consider the generalizations of Nahm equations for arbitrary p-algebras. We construct the topological p-algebra quantum mechanics associated to them and we show that this can be obtained as a truncation of the topological p-brane theory previously studied by the authors. The resulting topological p-algebra quantum mechanics is discussed in detail and the relation with the M2-M5 system is pointed out in the p=3 case, providing a geometrical argument for the emergence of the 3-algebra structure in the Bagger-Lambert-Gustavsson theory

[ { "created": "Thu, 31 Jul 2008 17:13:33 GMT", "version": "v1" }, { "created": "Fri, 22 Aug 2008 13:15:12 GMT", "version": "v2" } ]

2009-02-24

[ [ "Bonelli", "Giulio", "" ], [ "Tanzini", "Alessandro", "" ], [ "Zabzine", "Maxim", "" ] ]

Inspired by the recent advances in multiple M2-brane theory, we consider the generalizations of Nahm equations for arbitrary p-algebras. We construct the topological p-algebra quantum mechanics associated to them and we show that this can be obtained as a truncation of the topological p-brane theory previously studied by the authors. The resulting topological p-algebra quantum mechanics is discussed in detail and the relation with the M2-M5 system is pointed out in the p=3 case, providing a geometrical argument for the emergence of the 3-algebra structure in the Bagger-Lambert-Gustavsson theory

6.797599

6.224219

8.291481

5.866171

6.057057

6.076983

6.322603

5.984034

6.01033

7.136436

6.18144

5.820664

6.611038

6.002858

5.969771

6.026492

6.102739

5.933875

6.113877

6.768795

6.122243

hep-th/0310151

Muhammad Sharif

M. Sharif

Energy of a Regular Black Hole

Latex, 10 pages, 2 figures

Nuovo Cim. B119 (2004) 463-469

10.1393/ncb/i2004-10012-3

null

hep-th gr-qc

null

We use Einstein, Landau-Lifshitz, Papapetrou and Weinberg energy-momentum complexes to evaluate energy distribution of a regular black hole. It is shown that for a regular black hole, these energy-momentum complexes give the same energy distribution. This supports Cooperstock hypothesis and also Aguirregabbiria et al. conclusions. Further, we evaluate energy distribution using M$\ddot{o}$ller's prescription. This does not exactly coincide with ELLPW energy expression but, at large distances, they become same.

[ { "created": "Thu, 16 Oct 2003 07:40:33 GMT", "version": "v1" } ]

2009-11-10

[ [ "Sharif", "M.", "" ] ]

We use Einstein, Landau-Lifshitz, Papapetrou and Weinberg energy-momentum complexes to evaluate energy distribution of a regular black hole. It is shown that for a regular black hole, these energy-momentum complexes give the same energy distribution. This supports Cooperstock hypothesis and also Aguirregabbiria et al. conclusions. Further, we evaluate energy distribution using M$\ddot{o}$ller's prescription. This does not exactly coincide with ELLPW energy expression but, at large distances, they become same.

10.81412

13.257634

7.179715

7.752225

9.008348

9.367424

14.587602

7.728743

11.459638

7.706839

10.289575

11.238316

8.660141

9.170165

10.205967

10.33852

12.212986

9.04795

10.550257

9.097828

10.559112

0808.0351

Don N. Page

Cosmological Measures without Volume Weighting

15 pages, LaTeX, added references for constant-H hypersurfaces and also an idea for minimal-flux hypersurfaces

JCAP 0810:025,2008

10.1088/1475-7516/2008/10/025

Alberta-Thy-16-08

hep-th

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

Many cosmologists (myself included) have advocated volume weighting for the cosmological measure problem, weighting spatial hypersurfaces by their volume. However, this often leads to the Boltzmann brain problem, that almost all observations would be by momentary Boltzmann brains that arise very briefly as quantum fluctuations in the late universe when it has expanded to a huge size, so that our observations (too ordered for Boltzmann brains) would be highly atypical and unlikely. Here it is suggested that volume weighting may be a mistake. Volume averaging is advocated as an alternative. One consequence may be a loss of the argument that eternal inflation gives a nonzero probability that our universe now has infinite volume.

[ { "created": "Sun, 3 Aug 2008 21:00:01 GMT", "version": "v1" }, { "created": "Fri, 8 Aug 2008 16:20:16 GMT", "version": "v2" }, { "created": "Wed, 10 Sep 2008 23:56:03 GMT", "version": "v3" }, { "created": "Tue, 16 Sep 2008 23:19:12 GMT", "version": "v4" } ]

2009-03-27

[ [ "Page", "Don N.", "" ] ]

Many cosmologists (myself included) have advocated volume weighting for the cosmological measure problem, weighting spatial hypersurfaces by their volume. However, this often leads to the Boltzmann brain problem, that almost all observations would be by momentary Boltzmann brains that arise very briefly as quantum fluctuations in the late universe when it has expanded to a huge size, so that our observations (too ordered for Boltzmann brains) would be highly atypical and unlikely. Here it is suggested that volume weighting may be a mistake. Volume averaging is advocated as an alternative. One consequence may be a loss of the argument that eternal inflation gives a nonzero probability that our universe now has infinite volume.

14.074321

15.648395

18.196255

13.609902

16.630022

15.327902

15.499929

13.878767

13.083115

17.371489

13.865974

14.461139

13.940992

14.271369

14.137325

13.587832

13.242009

13.423204

13.853699

14.873278

13.873487

hep-th/0008191

Eric R. Sharpe

Recent Developments in Discrete Torsion

12 pages, LaTeX, 2 figures

Phys.Lett. B498 (2001) 104-110

10.1016/S0370-2693(00)01376-9

DUKE-CGTP-2000-16

hep-th

null

In this short note we briefly review some recent developments in understanding discrete torsion. Specifically, we give a short overview of the highlights of a group of recent papers which give the basic understanding of discrete torsion. Briefly, those papers observe that discrete torsion can be completely understood simply as the choice of action of the orbifold group on the B field. We summarize the main points of that work.

[ { "created": "Thu, 24 Aug 2000 13:55:20 GMT", "version": "v1" } ]

2009-10-31

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

In this short note we briefly review some recent developments in understanding discrete torsion. Specifically, we give a short overview of the highlights of a group of recent papers which give the basic understanding of discrete torsion. Briefly, those papers observe that discrete torsion can be completely understood simply as the choice of action of the orbifold group on the B field. We summarize the main points of that work.

11.528119

10.926826

11.90517

10.319511

10.618119

10.825066

10.281397

10.874352

9.802202

11.921833

9.996403

10.435863

11.086888

10.521478

10.386531

10.711162

10.433946

10.270576

10.509733

10.369021

10.281293

1512.06805

Andreas Nink

Andreas Nink and Martin Reuter

The unitary conformal field theory behind 2D Asymptotic Safety

64 pages

JHEP 1602 (2016) 167

10.1007/JHEP02(2016)167

MITP/15-113

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

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

Being interested in the compatibility of Asymptotic Safety with Hilbert space positivity (unitarity), we consider a local truncation of the functional RG flow which describes quantum gravity in $d>2$ dimensions and construct its limit of exactly two dimensions. We find that in this limit the flow displays a nontrivial fixed point whose effective average action is a non-local functional of the metric. Its pure gravity sector is shown to correspond to a unitary conformal field theory with positive central charge $c=25$. Representing the fixed point CFT by a Liouville theory in the conformal gauge, we investigate its general properties and their implications for the Asymptotic Safety program. In particular, we discuss its field parametrization dependence and argue that there might exist more than one universality class of metric gravity theories in two dimensions. Furthermore, studying the gravitational dressing in 2D asymptotically safe gravity coupled to conformal matter we uncover a mechanism which leads to a complete quenching of the a priori expected Knizhnik-Polyakov-Zamolodchikov (KPZ) scaling. A possible connection of this prediction to Monte Carlo results obtained in the discrete approach to 2D quantum gravity based upon causal dynamical triangulations is mentioned. Similarities of the fixed point theory to, and differences from, non-critical string theory are also described. On the technical side, we provide a detailed analysis of an intriguing connection between the Einstein-Hilbert action in $d>2$ dimensions and Polyakov's induced gravity action in two dimensions.

[ { "created": "Mon, 21 Dec 2015 20:29:48 GMT", "version": "v1" } ]

2016-03-09

[ [ "Nink", "Andreas", "" ], [ "Reuter", "Martin", "" ] ]

Being interested in the compatibility of Asymptotic Safety with Hilbert space positivity (unitarity), we consider a local truncation of the functional RG flow which describes quantum gravity in $d>2$ dimensions and construct its limit of exactly two dimensions. We find that in this limit the flow displays a nontrivial fixed point whose effective average action is a non-local functional of the metric. Its pure gravity sector is shown to correspond to a unitary conformal field theory with positive central charge $c=25$. Representing the fixed point CFT by a Liouville theory in the conformal gauge, we investigate its general properties and their implications for the Asymptotic Safety program. In particular, we discuss its field parametrization dependence and argue that there might exist more than one universality class of metric gravity theories in two dimensions. Furthermore, studying the gravitational dressing in 2D asymptotically safe gravity coupled to conformal matter we uncover a mechanism which leads to a complete quenching of the a priori expected Knizhnik-Polyakov-Zamolodchikov (KPZ) scaling. A possible connection of this prediction to Monte Carlo results obtained in the discrete approach to 2D quantum gravity based upon causal dynamical triangulations is mentioned. Similarities of the fixed point theory to, and differences from, non-critical string theory are also described. On the technical side, we provide a detailed analysis of an intriguing connection between the Einstein-Hilbert action in $d>2$ dimensions and Polyakov's induced gravity action in two dimensions.

6.626189

7.695837

7.539255

7.016236

7.164741

7.409186

7.158955

7.414231

7.146103

8.608842

7.245924

6.475701

6.803942

6.58641

6.552713

6.77962

6.647736

6.653728

6.631583

6.683867

6.674747

1907.09482

Washington Taylor

Yu-Chien Huang and Washington Taylor

Fibration structure in toric hypersurface Calabi-Yau threefolds

14 pages, 4 figures; v2: minor changes, comments added

null

10.1007/JHEP03(2020)172

MIT-CTP-5132

hep-th math.AG

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

We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope. Such a subpolytope is generally associated with the presence of an elliptic or genus one fibration in the corresponding birational equivalence class of Calabi-Yau threefolds. This extends the growing body of evidence that most Calabi-Yau threefolds have an elliptically fibered phase.

[ { "created": "Mon, 22 Jul 2019 18:00:00 GMT", "version": "v1" }, { "created": "Tue, 10 Sep 2019 14:25:37 GMT", "version": "v2" } ]

2020-04-22

[ [ "Huang", "Yu-Chien", "" ], [ "Taylor", "Washington", "" ] ]

We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope. Such a subpolytope is generally associated with the presence of an elliptic or genus one fibration in the corresponding birational equivalence class of Calabi-Yau threefolds. This extends the growing body of evidence that most Calabi-Yau threefolds have an elliptically fibered phase.

9.747377

6.872142

10.607654

7.464455

7.122708

7.859691

7.474153

7.415768

7.046533

12.717312

7.333723

7.40212

9.226385

7.741776

7.533702

7.61754

7.530538

7.29197

7.683837

9.352682

7.466316

2109.11556

Martin Wolfgang Winkler

Katherine Freese, Aliki Litsa, Martin Wolfgang Winkler

Natural Chain Inflation

7 pages, 4 figures

null

10.1016/j.physletb.2022.137081

UTTG-18-2021, NORDITA-2021-078

hep-th astro-ph.CO hep-ph

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

In Chain Inflation the universe tunnels along a series of false vacua of ever-decreasing energy. The main goal of this paper is to embed Chain Inflation in high energy fundamental physics. We begin by illustrating a simple effective formalism for calculating Cosmic Microwave Background (CMB) observables in Chain Inflation. Density perturbations seeding the anisotropies emerge from the probabilistic nature of tunneling (rather than from quantum fluctuations of the inflation). To obtain the correct normalization of the scalar power spectrum and the scalar spectral index, we find an upper limit on the scale of inflation at horizon crossing of CMB scales, $V_*^{1/4}< 10^{12}$~GeV. We then provide an explicit realization of chain inflation, in which the inflaton is identified with an axion in supergravity. The axion enjoys a perturbative shift symmetry which is broken to a discrete remnant by instantons. The model, which we dub `natural chain inflation' satisfies all cosmological constraints and can be embedded into a standard $\Lambda$CDM cosmology. Our work provides a major step towards the ultraviolet completion of chain inflation in string theory.

[ { "created": "Thu, 23 Sep 2021 18:00:01 GMT", "version": "v1" } ]

2022-04-20

[ [ "Freese", "Katherine", "" ], [ "Litsa", "Aliki", "" ], [ "Winkler", "Martin Wolfgang", "" ] ]

In Chain Inflation the universe tunnels along a series of false vacua of ever-decreasing energy. The main goal of this paper is to embed Chain Inflation in high energy fundamental physics. We begin by illustrating a simple effective formalism for calculating Cosmic Microwave Background (CMB) observables in Chain Inflation. Density perturbations seeding the anisotropies emerge from the probabilistic nature of tunneling (rather than from quantum fluctuations of the inflation). To obtain the correct normalization of the scalar power spectrum and the scalar spectral index, we find an upper limit on the scale of inflation at horizon crossing of CMB scales, $V_*^{1/4}< 10^{12}$~GeV. We then provide an explicit realization of chain inflation, in which the inflaton is identified with an axion in supergravity. The axion enjoys a perturbative shift symmetry which is broken to a discrete remnant by instantons. The model, which we dub `natural chain inflation' satisfies all cosmological constraints and can be embedded into a standard $\Lambda$CDM cosmology. Our work provides a major step towards the ultraviolet completion of chain inflation in string theory.

9.62829

9.561089

9.166189

8.957627

9.663589

9.177208

9.25779

9.101206

9.014107

9.983115

9.457592

8.948572

9.32646

8.954452

9.176342

8.924974

8.974977

9.288921

9.022942

9.472434

9.022523

hep-th/9706117

Tomas Ortin Miguel

Eric Bergshoeff, Bert Janssen, Tomas Ortin

Kaluza-Klein Monopoles and Gauged Sigma-Models

Latex file. References added. Version to be published in Physics Letters B

Phys.Lett.B410:131-141,1997

10.1016/S0370-2693(97)00946-5

CERN-TH/97-125, UG-5/97

hep-th

null

We propose an effective action for the eleven-dimensional (bosonic) Kaluza-Klein monopole solution. The construction of the action requires that the background fields admit an Abelian isometry group. The corresponding sigma-model is gauged with respect to this isometry. The gauged sigma-model is the source for the monopole solution. A direct (double) dimensional reduction of the action leads to the effective action of a 10-dimensional D-6-brane (IIA Kaluza-Klein monopole). We also show that the effective action of the 10-dimensional heterotic Kaluza-Klein monopole (which is a truncation of the IIA monopole action) is T-dual to the effective action of the solitonic 5-brane. We briefly discuss the kappa-symmetric extension of our proposal and the possible role of gauged sigma-models in connection with the conjectured M-theory 9-brane.

[ { "created": "Sun, 15 Jun 1997 16:05:21 GMT", "version": "v1" }, { "created": "Mon, 28 Jul 1997 13:29:01 GMT", "version": "v2" }, { "created": "Thu, 31 Jul 1997 13:32:01 GMT", "version": "v3" } ]

2008-12-18

[ [ "Bergshoeff", "Eric", "" ], [ "Janssen", "Bert", "" ], [ "Ortin", "Tomas", "" ] ]

We propose an effective action for the eleven-dimensional (bosonic) Kaluza-Klein monopole solution. The construction of the action requires that the background fields admit an Abelian isometry group. The corresponding sigma-model is gauged with respect to this isometry. The gauged sigma-model is the source for the monopole solution. A direct (double) dimensional reduction of the action leads to the effective action of a 10-dimensional D-6-brane (IIA Kaluza-Klein monopole). We also show that the effective action of the 10-dimensional heterotic Kaluza-Klein monopole (which is a truncation of the IIA monopole action) is T-dual to the effective action of the solitonic 5-brane. We briefly discuss the kappa-symmetric extension of our proposal and the possible role of gauged sigma-models in connection with the conjectured M-theory 9-brane.

6.107273

5.806162

6.611985

5.798544

5.787276

5.493543

5.638298

5.488487

5.518663

6.611782

5.592948

5.748045

6.201317

5.796437

5.798639

5.465826

5.771981

5.682473

5.846542

6.131912

5.746185

2111.07107

Akihiro Miyata

Norihiro Iizuka, Akihiro Miyata, Tomonori Ugajin

A comment on a fine-grained description of evaporating black holes with baby universes

27 Pages, 5 figures; v2: typos corrected, references added

null

10.1007/JHEP09(2022)158

OU-HET-1119, UT-Komaba/21-6, YITP-21-133

hep-th gr-qc

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

We study a partially fine-grained description of an evaporating black hole by introducing an open baby universe with a boundary. Since the Page's calculation of the entropy of Hawking radiation involves an ensemble average over a class of states, one can formally obtain a fine-grained state by purifying this setup. For AdS black holes with a holographic dual, this purification amounts to introducing an additional boundary (i.e., baby universe) and then connecting it to the original black hole through an Einstein-Rosen bridge. We uncover several details of this setup. As applications, we briefly discuss how this baby universe modifies the semi-classical gravitational Gauss law as well as the gravitational dressing of operators behind the horizon.

[ { "created": "Sat, 13 Nov 2021 12:41:42 GMT", "version": "v1" }, { "created": "Mon, 16 May 2022 05:00:28 GMT", "version": "v2" } ]

2022-10-19

[ [ "Iizuka", "Norihiro", "" ], [ "Miyata", "Akihiro", "" ], [ "Ugajin", "Tomonori", "" ] ]

We study a partially fine-grained description of an evaporating black hole by introducing an open baby universe with a boundary. Since the Page's calculation of the entropy of Hawking radiation involves an ensemble average over a class of states, one can formally obtain a fine-grained state by purifying this setup. For AdS black holes with a holographic dual, this purification amounts to introducing an additional boundary (i.e., baby universe) and then connecting it to the original black hole through an Einstein-Rosen bridge. We uncover several details of this setup. As applications, we briefly discuss how this baby universe modifies the semi-classical gravitational Gauss law as well as the gravitational dressing of operators behind the horizon.

14.201241

13.454412

15.791068

12.833451

13.543365

12.527622

14.723412

13.105277

13.57278

14.36062

12.865812

13.006004

14.737104

13.474216

14.441809

14.689803

13.933513

13.733411

13.597451

14.996439

14.251506

2302.00655

Lucas Pinol

Denis Werth, Lucas Pinol, S\'ebastien Renaux-Petel

Cosmological Flow of Primordial Correlators

v2: minor modifications, 6 pages, 3 figures

null

hep-th astro-ph.CO gr-qc

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

Correlation functions of primordial density fluctuations provide an exciting probe of the physics governing the earliest moments of our Universe. However, the standard approach to compute them is technically challenging. Theoretical predictions are therefore available only in restricted classes of theories. In this Letter, we present a complete method to systematically compute tree-level inflationary correlators. This method is based on following the time evolution of equal-time correlators and it accurately captures all physical effects in any theory. These theories are conveniently formulated at the level of inflationary fluctuations, and can feature any number of degrees of freedom with arbitrary dispersion relations and masses, coupled through any type of time-dependent interactions. We demonstrate the power of this approach by exploring the properties of the cosmological collider signal, a discovery channel for new high-energy physics, in theories with strong mixing and in the presence of features. This work lays the foundation for a universal program to assist our theoretical understanding of inflationary physics and generate theoretical data for an unbiased interpretation of upcoming cosmological observations.

[ { "created": "Wed, 1 Feb 2023 18:30:34 GMT", "version": "v1" }, { "created": "Tue, 13 Jun 2023 15:56:02 GMT", "version": "v2" } ]

2023-06-14

[ [ "Werth", "Denis", "" ], [ "Pinol", "Lucas", "" ], [ "Renaux-Petel", "Sébastien", "" ] ]

Correlation functions of primordial density fluctuations provide an exciting probe of the physics governing the earliest moments of our Universe. However, the standard approach to compute them is technically challenging. Theoretical predictions are therefore available only in restricted classes of theories. In this Letter, we present a complete method to systematically compute tree-level inflationary correlators. This method is based on following the time evolution of equal-time correlators and it accurately captures all physical effects in any theory. These theories are conveniently formulated at the level of inflationary fluctuations, and can feature any number of degrees of freedom with arbitrary dispersion relations and masses, coupled through any type of time-dependent interactions. We demonstrate the power of this approach by exploring the properties of the cosmological collider signal, a discovery channel for new high-energy physics, in theories with strong mixing and in the presence of features. This work lays the foundation for a universal program to assist our theoretical understanding of inflationary physics and generate theoretical data for an unbiased interpretation of upcoming cosmological observations.

11.902986

12.13276

12.209294

10.962883

11.655027

11.9522

11.253647

10.836995

11.130947

12.355538

10.940185

10.923663

11.047359

10.986594

10.943851

11.114407

11.214439

10.926873

11.001925

11.284606

10.897079

hep-th/0610335

Anirban Basu

The D^{10} R^4 term in type IIB string theory

12 pages, LaTeX

Phys.Lett.B648:378-382,2007

10.1016/j.physletb.2007.03.024

null

hep-th

null

The modular invariant coefficient of the D^{2k} {\cal{R}}^4 term in the effective action of type IIB superstring theory is expected to satisfy Poisson equation on the fundamental domain of SL(2,Z). Under certain assumptions, we obtain the equation satisfied by D^{10} {\cal{R}}^4 using the tree level and one loop results for four graviton scattering in type II string theory. This leads to the conclusion that the perturbative contributions to D^{10} {\cal{R}}^4 vanish above three loops, and also predicts the coefficients at two and three loops.

[ { "created": "Tue, 31 Oct 2006 20:47:42 GMT", "version": "v1" }, { "created": "Thu, 2 Nov 2006 23:35:56 GMT", "version": "v2" } ]

2008-11-26

[ [ "Basu", "Anirban", "" ] ]

The modular invariant coefficient of the D^{2k} {\cal{R}}^4 term in the effective action of type IIB superstring theory is expected to satisfy Poisson equation on the fundamental domain of SL(2,Z). Under certain assumptions, we obtain the equation satisfied by D^{10} {\cal{R}}^4 using the tree level and one loop results for four graviton scattering in type II string theory. This leads to the conclusion that the perturbative contributions to D^{10} {\cal{R}}^4 vanish above three loops, and also predicts the coefficients at two and three loops.

7.343295

5.839265

7.491026

6.135328

6.238673

5.856891

5.873238

6.039909

5.787597

7.882817

5.640234

6.704874

7.696578

6.83442

6.762037

6.689732

6.743767

7.000603

6.897292

7.675497

6.78236

1901.04501

Christoph Adam

C. Adam, Jose M. Queiruga, A. Wereszczynski

BPS soliton-impurity models and supersymmetry

LaTex file, 25 pages

null

10.1007/JHEP07(2019)164

null

hep-th math-ph math.MP

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

We find supersymmetric extensions of the half-BPS soliton-impurity models in (1+1) dimensions which preserve half of the $\mathcal{N}=1$ supersymmetry. This is related to the fact that in the bosonic sector (i.e., the half-BPS soliton-impurity model), only one soliton (for example, the kink) is a BPS configuration which solves the pertinent Bogomolnyi equation and saturates the topological energy bound. On the other hand, the topological charge conjugate state (the antikink) is not a BPS solution. This means that it obeys the full Euler-Lagrange equation and does not saturate the topological energy bound. The supersymmetric approach also allows us to construct half-BPS soliton-impurity models in (2+1) dimensions. Concretely, in the case of the $CP^1$ model, its BPS impurity generalisation preserves one-quarter of the $\mathcal{N}=2$ SUSY, while for the Abelian Higgs model at critical coupling both impurity generalisations preserving one-quarter (the case of a new, so-called Higgs impurity) as well as one-half of the $\mathcal{N}=2$ SUSY (the case of the previously known magnetic impurity) are possible. We also discuss a possible relation between the BPS $CP^1$-impurity model and the Dzyaloshinskii-Moriya interaction energy.

[ { "created": "Mon, 14 Jan 2019 19:00:02 GMT", "version": "v1" } ]

2019-09-04

[ [ "Adam", "C.", "" ], [ "Queiruga", "Jose M.", "" ], [ "Wereszczynski", "A.", "" ] ]

We find supersymmetric extensions of the half-BPS soliton-impurity models in (1+1) dimensions which preserve half of the $\mathcal{N}=1$ supersymmetry. This is related to the fact that in the bosonic sector (i.e., the half-BPS soliton-impurity model), only one soliton (for example, the kink) is a BPS configuration which solves the pertinent Bogomolnyi equation and saturates the topological energy bound. On the other hand, the topological charge conjugate state (the antikink) is not a BPS solution. This means that it obeys the full Euler-Lagrange equation and does not saturate the topological energy bound. The supersymmetric approach also allows us to construct half-BPS soliton-impurity models in (2+1) dimensions. Concretely, in the case of the $CP^1$ model, its BPS impurity generalisation preserves one-quarter of the $\mathcal{N}=2$ SUSY, while for the Abelian Higgs model at critical coupling both impurity generalisations preserving one-quarter (the case of a new, so-called Higgs impurity) as well as one-half of the $\mathcal{N}=2$ SUSY (the case of the previously known magnetic impurity) are possible. We also discuss a possible relation between the BPS $CP^1$-impurity model and the Dzyaloshinskii-Moriya interaction energy.

5.289197

5.529874

5.730767

5.448963

5.385453

5.604886

5.507775

5.286128

5.424931

6.578259

5.145347

5.336903

5.414101

5.169713

5.173988

5.067336

5.244013

5.208908

5.163792

5.371588

5.097248

2112.13564

Yoshihisa Kitazawa

de Sitter Duality and Holographic Renormalization

10 pages, Contribution to the proceedings of EAJS at Osaka City University,

null

KEK-TH-2382

hep-th gr-qc

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

We perform the resummation of the infrared logarithms in the inflationary universe. Applying the renormalization group, we derive the stochastic equations as the effective theory at the horizon. We focus on the conformal zero mode to respect local Lorentz symmetry. Under Gaussian approximation, we derive the fundamental equation for the Universe (EqU). We also derive the identical equation from the first law of thermodynamics in a dual geometric picture. We believe it is a convincing evidence for de Sitter duality between quantum stochastic physics on the boundary and classical thermodynamics in the bulk. The equation for the Universe (EqU) possesses the solution with the ultraviolet fixed point. It also contains the inflationary universe with the power potentials. We discuss possible scenarios for the very early universe with decreasing epsilon. We argue inflationary universe subsequently dominates to maximize the entropy and epsilon problem is naturally solved.

[ { "created": "Mon, 27 Dec 2021 08:23:53 GMT", "version": "v1" } ]

2021-12-28

[ [ "Kitazawa", "Yoshihisa", "" ] ]

We perform the resummation of the infrared logarithms in the inflationary universe. Applying the renormalization group, we derive the stochastic equations as the effective theory at the horizon. We focus on the conformal zero mode to respect local Lorentz symmetry. Under Gaussian approximation, we derive the fundamental equation for the Universe (EqU). We also derive the identical equation from the first law of thermodynamics in a dual geometric picture. We believe it is a convincing evidence for de Sitter duality between quantum stochastic physics on the boundary and classical thermodynamics in the bulk. The equation for the Universe (EqU) possesses the solution with the ultraviolet fixed point. It also contains the inflationary universe with the power potentials. We discuss possible scenarios for the very early universe with decreasing epsilon. We argue inflationary universe subsequently dominates to maximize the entropy and epsilon problem is naturally solved.

19.21056

22.233707

20.152716

19.109646

19.647921

19.509508

18.714848

19.199062

19.38479

21.90357

18.677633

18.78063

18.325682

18.639246

19.265732

19.077593

18.326855

18.931362

19.148558

18.876976

18.630135

1804.04592

Junho Hong

Junho Hong, James T. Liu

The topologically twisted index of $\mathcal N=4$ super-Yang-Mills on $T^2\times S^2$ and the elliptic genus

29 pages, 1 figure; v2: restricted to real chemical potentials in section 4 and added a comment on the index where $c_r(\mathfrak n_a)<0$ in section 5

null

10.1007/JHEP07(2018)018

LCTP-18-12

hep-th

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

We examine the topologically twisted index of $\mathcal N=4$ super-Yang-Mills with gauge group $SU(N)$ on $T^2\times S^2$, and demonstrate that it receives contributions from multiple sectors corresponding to the freely acting orbifolds $T^2/\mathbb Z_m\times\mathbb Z_n$ where $N=mn$. After summing over these sectors, the index can be expressed as the elliptic genus of a two-dimensional $\mathcal N=(0,2)$ theory resulting from Kaluza-Klein reduction on $S^2$. This provides an alternate path to the 'high-temperature' limit of the index, and confirms the connection to the right-moving central charge of the $\mathcal N=(0,2)$ theory.

[ { "created": "Thu, 12 Apr 2018 16:03:48 GMT", "version": "v1" }, { "created": "Fri, 4 May 2018 17:48:47 GMT", "version": "v2" } ]

2018-08-01

[ [ "Hong", "Junho", "" ], [ "Liu", "James T.", "" ] ]

We examine the topologically twisted index of $\mathcal N=4$ super-Yang-Mills with gauge group $SU(N)$ on $T^2\times S^2$, and demonstrate that it receives contributions from multiple sectors corresponding to the freely acting orbifolds $T^2/\mathbb Z_m\times\mathbb Z_n$ where $N=mn$. After summing over these sectors, the index can be expressed as the elliptic genus of a two-dimensional $\mathcal N=(0,2)$ theory resulting from Kaluza-Klein reduction on $S^2$. This provides an alternate path to the 'high-temperature' limit of the index, and confirms the connection to the right-moving central charge of the $\mathcal N=(0,2)$ theory.

4.858231

4.512288

5.532282

4.259058

4.352147

4.518019

4.404824

4.294879

4.361265

5.462908

4.268235

4.437743

4.846817

4.414463

4.371945

4.447673

4.362058

4.478018

4.524014

5.002517

4.423764

2110.02872

Marieke van Beest

Marieke van Beest, Simone Giacomelli

Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations

47 pages, many figures

null

10.1007/JHEP12(2021)202

null

hep-th

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

We describe how the geometry of the Higgs branch of 5d superconformal field theories is transformed under movement along the extended Coulomb branch. Working directly with the (unitary) magnetic quiver, we demonstrate a correspondence between Fayet-Iliopoulos deformations in 3d and 5d mass deformations. When the Higgs branch has multiple cones, characterised by a collection of magnetic quivers, the mirror map is not globally well-defined, however we are able to utilize the correspondence to establish a local version of mirror symmetry. We give several detailed examples of deformations, including decouplings and weak-coupling limits, in $(D_n,D_n)$ conformal matter theories, $T_N$ theory and its parent $P_N$, for which we find new Lagrangian descriptions given by quiver gauge theories with fundamental and anti-symmetric matter.

[ { "created": "Wed, 6 Oct 2021 15:58:39 GMT", "version": "v1" }, { "created": "Tue, 14 Dec 2021 13:54:18 GMT", "version": "v2" } ]

2022-01-19

[ [ "van Beest", "Marieke", "" ], [ "Giacomelli", "Simone", "" ] ]

We describe how the geometry of the Higgs branch of 5d superconformal field theories is transformed under movement along the extended Coulomb branch. Working directly with the (unitary) magnetic quiver, we demonstrate a correspondence between Fayet-Iliopoulos deformations in 3d and 5d mass deformations. When the Higgs branch has multiple cones, characterised by a collection of magnetic quivers, the mirror map is not globally well-defined, however we are able to utilize the correspondence to establish a local version of mirror symmetry. We give several detailed examples of deformations, including decouplings and weak-coupling limits, in $(D_n,D_n)$ conformal matter theories, $T_N$ theory and its parent $P_N$, for which we find new Lagrangian descriptions given by quiver gauge theories with fundamental and anti-symmetric matter.

11.184979

11.043659

13.552573

10.473412

10.010458

10.670672

10.986236

10.755113

10.300095

13.400545

10.7925

11.101743

11.480709

10.814998

10.23864

11.040942

10.833358

11.174933

10.85865

11.872948

10.561297

0706.0595

Christoph Stephan A.

Christoph A. Stephan

Almost-Commutative Geometries Beyond the Standard Model II: New Colours

Revised version for publication in J.Phys.A with corrected Higgs masses

J.Phys.A40:9941,2007

10.1088/1751-8113/40/32/017

null

hep-th

null

We will present an extension of the standard model of particle physics in its almost-commutative formulation. This extension is guided by the minimal approach to almost-commutative geometries employed in [13], although the model presented here is not minimal itself. The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model and two new fermions of opposite electro-magnetic charge which may possess a new colour like gauge group. As a new phenomenon, grand unification is no longer required by the spectral action.

[ { "created": "Tue, 5 Jun 2007 08:02:58 GMT", "version": "v1" }, { "created": "Mon, 2 Jul 2007 14:27:30 GMT", "version": "v2" } ]

2008-11-26

[ [ "Stephan", "Christoph A.", "" ] ]

We will present an extension of the standard model of particle physics in its almost-commutative formulation. This extension is guided by the minimal approach to almost-commutative geometries employed in [13], although the model presented here is not minimal itself. The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model and two new fermions of opposite electro-magnetic charge which may possess a new colour like gauge group. As a new phenomenon, grand unification is no longer required by the spectral action.

13.336525

10.43044

14.254006

11.139086

12.181455

11.880981

13.276287

11.56342

10.965374

14.610894

11.994785

12.1074

12.590074

12.00279

12.374199

12.203015

12.430028

12.115589

12.4871

12.414412

11.949014

0912.3374

K. Narayan

On nonsupersymmetric $\BC^4/\BZ_N$, tachyons, terminal singularities and flips

Latex, 43pgs incl. appendices, 2 eps figs, v2. minor clarifications added, to appear in JHEP

null

10.1007/JHEP03(2010)019

null

hep-th

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

We investigate nonsupersymmetric $\BC^4/\BZ_N$ orbifold singularities using their description in terms of the string worldsheet conformal field theory and its close relation with the toric geometry description of these singularities and their possible resolutions. Analytic and numerical study strongly suggest the absence of nonsupersymmetric Type II terminal singularities (i.e. with no marginal or relevant blowup modes) so that there are always moduli or closed string tachyons that give rise to resolutions of these singularities, although supersymmetric and Type 0 terminal singularities do exist. Using gauged linear sigma models, we analyze the phase structure of these singularities, which often involves 4-dimensional flip transitions, occurring between resolution endpoints of distinct topology. We then discuss 4-dim analogs of unstable conifold-like singularities that exhibit flips, in particular their Type II GSO projection and the phase structure. We also briefly discuss aspects of M2-branes stacked at such singularities and nonsupersymmetric $AdS_4\times S^7/\BZ_N$ backgrounds.

[ { "created": "Thu, 17 Dec 2009 11:28:56 GMT", "version": "v1" }, { "created": "Fri, 12 Feb 2010 07:14:20 GMT", "version": "v2" } ]

2015-05-14

[ [ "Narayan", "K.", "" ] ]

We investigate nonsupersymmetric $\BC^4/\BZ_N$ orbifold singularities using their description in terms of the string worldsheet conformal field theory and its close relation with the toric geometry description of these singularities and their possible resolutions. Analytic and numerical study strongly suggest the absence of nonsupersymmetric Type II terminal singularities (i.e. with no marginal or relevant blowup modes) so that there are always moduli or closed string tachyons that give rise to resolutions of these singularities, although supersymmetric and Type 0 terminal singularities do exist. Using gauged linear sigma models, we analyze the phase structure of these singularities, which often involves 4-dimensional flip transitions, occurring between resolution endpoints of distinct topology. We then discuss 4-dim analogs of unstable conifold-like singularities that exhibit flips, in particular their Type II GSO projection and the phase structure. We also briefly discuss aspects of M2-branes stacked at such singularities and nonsupersymmetric $AdS_4\times S^7/\BZ_N$ backgrounds.

13.106555

12.727006

15.684843

12.747411

14.297641

12.943394

13.677308

12.581308

12.589548

16.080406

12.012215

12.579926

14.519669

12.570979

12.538322

12.087562

12.388017

12.275517

12.822704

15.719959

12.594268

1412.2373

Elena Gubankova

E. Gubankova, M. Cubrovic, J. Zaanen

Exciton-driven quantum phase transitions in holography

44 pages, 16 figures; published version

Phys. Rev. D 92, 086004 (2015)

10.1103/PhysRevD.92.086004

null

hep-th

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

We study phase transitions driven by fermionic double-trace deformations in gauge-gravity duality. Both the strength of the double trace deformation and the infrared conformal dimension/self-energy scaling of the quasiparticle can be used to decrease the critical temperature to zero, leading to a line of quantum critical points. The self-energy scaling is controlled indirectly through an applied magnetic field and the quantum phase transition naturally involves the condensation of a fermion bilinear which models the spin density wave in an antiferromagnetic state. The nature of the quantum critical points depends on the parameters and we find either a Berezinskii-Kosterlitz-Thouless-type transition or one of two distinct second order transitions with non-mean field exponents. One of these is an anomalous branch where the order parameter of constituent non-Fermi liquid quasiparticles is enhanced by the magnetic field. Stabilization of ordered non-Fermi liquids by a strong magnetic field is observed in experiments with highly oriented pyrolytic graphite.

[ { "created": "Sun, 7 Dec 2014 17:13:17 GMT", "version": "v1" }, { "created": "Fri, 12 Dec 2014 15:14:58 GMT", "version": "v2" }, { "created": "Wed, 21 Oct 2015 15:09:39 GMT", "version": "v3" } ]

2015-11-04

[ [ "Gubankova", "E.", "" ], [ "Cubrovic", "M.", "" ], [ "Zaanen", "J.", "" ] ]

We study phase transitions driven by fermionic double-trace deformations in gauge-gravity duality. Both the strength of the double trace deformation and the infrared conformal dimension/self-energy scaling of the quasiparticle can be used to decrease the critical temperature to zero, leading to a line of quantum critical points. The self-energy scaling is controlled indirectly through an applied magnetic field and the quantum phase transition naturally involves the condensation of a fermion bilinear which models the spin density wave in an antiferromagnetic state. The nature of the quantum critical points depends on the parameters and we find either a Berezinskii-Kosterlitz-Thouless-type transition or one of two distinct second order transitions with non-mean field exponents. One of these is an anomalous branch where the order parameter of constituent non-Fermi liquid quasiparticles is enhanced by the magnetic field. Stabilization of ordered non-Fermi liquids by a strong magnetic field is observed in experiments with highly oriented pyrolytic graphite.

10.964406

12.175232

12.485163

10.750775

11.838564

11.058917

11.796521

11.282707

11.441079

12.975846

10.738558

10.675599

11.507386

11.131454

10.56095

10.891024

10.683518

10.960206

10.793552

11.492367

10.655653

hep-th/0610204

Sangmin Lee

Superconformal field theories from crystal lattices

4 pages, 4 figures, revtex; v2. references added, minor corrections

Phys.Rev.D75:101901,2007

10.1103/PhysRevD.75.101901

SNUST-061001

hep-th

null

We propose a brane configuration for the (2+1)d, $\mathcal{N}=2$ superconformal theories (CFT$_3$) arising from M2-branes probing toric Calabi-Yau 4-fold cones, using a T-duality transformation of M-theory. We obtain intersections of M5-branes on a three-torus which form a 3d bipartite crystal lattice in a way similar to the 2d dimer models for CFT$_4$. The fundamental fields of the CFT$_3$ are M2-brane discs localized around the intersections, and the super-potential terms are identified with the atoms of the crystal. The model correctly reproduces the complete BPS spectrum of mesons and baryons.

[ { "created": "Wed, 18 Oct 2006 06:37:36 GMT", "version": "v1" }, { "created": "Tue, 24 Oct 2006 12:44:32 GMT", "version": "v2" } ]

2017-09-07

[ [ "Lee", "Sangmin", "" ] ]

We propose a brane configuration for the (2+1)d, $\mathcal{N}=2$ superconformal theories (CFT$_3$) arising from M2-branes probing toric Calabi-Yau 4-fold cones, using a T-duality transformation of M-theory. We obtain intersections of M5-branes on a three-torus which form a 3d bipartite crystal lattice in a way similar to the 2d dimer models for CFT$_4$. The fundamental fields of the CFT$_3$ are M2-brane discs localized around the intersections, and the super-potential terms are identified with the atoms of the crystal. The model correctly reproduces the complete BPS spectrum of mesons and baryons.

8.296729

8.06916

9.159816

7.679348

7.738729

7.966163

8.023281

7.840771

7.085133

10.274018

7.103034

7.484046

8.434574

7.555233

7.235477

7.443862

7.515399

7.214475

7.405926

8.389889

7.585888

hep-th/9812119

Sergei Frolov

G.Arutyunov, S.Frolov and A.Polishchuk

On Lorentz invariance and supersymmetry of four particle scattering amplitudes in $S^N\R^8$ orbifold sigma model

Latex, 23 pages

Phys. Rev. D 60, 066003 (1999)

10.1103/PhysRevD.60.066003

null

hep-th

null

The $S^N\R^8$ supersymmetric orbifold sigma model is expected to describe the IR limit of the Matrix string theory. In the framework of the model the type IIA string interaction is governed by a vertex which was recently proposed by R.Dijkgraaf, E.Verlinde and H.Verlinde. By using this interaction vertex we derive all four particle scattering amplitudes directly from the orbifold model in the large $N$ limit.

[ { "created": "Mon, 14 Dec 1998 21:59:12 GMT", "version": "v1" } ]

2016-08-25

[ [ "Arutyunov", "G.", "" ], [ "Frolov", "S.", "" ], [ "Polishchuk", "A.", "" ] ]

The $S^N\R^8$ supersymmetric orbifold sigma model is expected to describe the IR limit of the Matrix string theory. In the framework of the model the type IIA string interaction is governed by a vertex which was recently proposed by R.Dijkgraaf, E.Verlinde and H.Verlinde. By using this interaction vertex we derive all four particle scattering amplitudes directly from the orbifold model in the large $N$ limit.

11.804225

8.586432

12.803968

8.551546

8.870244

8.140937

8.814436

8.785108

8.781512

12.61274

9.011329

9.075828

10.914885

9.24617

9.27995

9.618855

8.930634

8.973467

8.862825

10.767392

9.011114

hep-th/0111093

Cai Rong-gen

Rong-Gen Cai

Cardy-Verlinde Formula and Asymptotically de Sitter Spaces

Latex, 12 pages, v2: references corrected

Phys.Lett. B525 (2002) 331-336

10.1016/S0370-2693(01)01457-5

null

hep-th

null

In this paper we discuss the question of whether the entropy of cosmological horizon in some asymptotically de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension. For the Schwarzschild-de Sitter solution, although the gravitational mass is always negative (in the sense of the prescription in hep-th/0110108 to calculate the conserved charges of asymptotically de Sitter spaces), we find that indeed the entropy of cosmological horizon can be given by using naively the Cardy-Verlinde formula. The entropy of pure de Sitter spaces can also be expressed by the Cardy-Verlinde formula. For the topological de Sitter solutions, which have a cosmological horizon and a naked singularity, the Cardy-Verlinde formula also works well. Our result is in favour of the dS/CFT correspondence.

[ { "created": "Sun, 11 Nov 2001 07:07:41 GMT", "version": "v1" }, { "created": "Mon, 19 Nov 2001 06:59:39 GMT", "version": "v2" } ]

2009-11-07

[ [ "Cai", "Rong-Gen", "" ] ]

In this paper we discuss the question of whether the entropy of cosmological horizon in some asymptotically de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension. For the Schwarzschild-de Sitter solution, although the gravitational mass is always negative (in the sense of the prescription in hep-th/0110108 to calculate the conserved charges of asymptotically de Sitter spaces), we find that indeed the entropy of cosmological horizon can be given by using naively the Cardy-Verlinde formula. The entropy of pure de Sitter spaces can also be expressed by the Cardy-Verlinde formula. For the topological de Sitter solutions, which have a cosmological horizon and a naked singularity, the Cardy-Verlinde formula also works well. Our result is in favour of the dS/CFT correspondence.

5.029387

4.659348

5.273935

4.526542

4.583917

4.375457

4.533551

4.50605

4.335028

5.30409

4.495863

4.517264

4.992657

4.557084

4.718489

4.603287

4.530288

4.67918

4.672012

4.873409

4.508914

hep-th/9605148

Lawrence Horwitz

Oskar Pelc and L. P. Horwitz

Construction of a Complete Set of States in Relativistic Scattering Theory

30 pages, Latex

J.Math.Phys.38:115-138,1997

10.1063/1.531845

IASSNS-96/40, TAUP 2312-95

hep-th

null

The space of physical states in relativistic scattering theory is constructed, using a rigorous version of the Dirac formalism, where the Hilbert space structure is extended to a Gel'fand triple. This extension enables the construction of ``a complete set of states'', the basic concept of the original Dirac formalism, also in the cases of unbounded operators and continuous spectra. We construct explicitly the Gel'fand triple and a complete set of ``plane waves'' -- momentum eigenstates -- using the group of space-time symmetries. This construction is used (in a separate article) to prove a generalization of the Coleman-Mandula theorem to higher dimension.

[ { "created": "Tue, 21 May 1996 16:28:03 GMT", "version": "v1" } ]

2010-11-19

[ [ "Pelc", "Oskar", "" ], [ "Horwitz", "L. P.", "" ] ]

The space of physical states in relativistic scattering theory is constructed, using a rigorous version of the Dirac formalism, where the Hilbert space structure is extended to a Gel'fand triple. This extension enables the construction of ``a complete set of states'', the basic concept of the original Dirac formalism, also in the cases of unbounded operators and continuous spectra. We construct explicitly the Gel'fand triple and a complete set of ``plane waves'' -- momentum eigenstates -- using the group of space-time symmetries. This construction is used (in a separate article) to prove a generalization of the Coleman-Mandula theorem to higher dimension.

9.327455

9.629682

9.857107

8.890362

10.450234

9.424455

9.582072

9.888633

9.242462

10.080861

8.66133

9.187548

9.090647

9.024199

9.167135

9.254036

8.963412

9.052796

9.246725

9.347802

9.237182

1909.04077

Till Bargheer

Till Bargheer, Frank Coronado, Pedro Vieira

Octagons II: Strong Coupling

43 pages, 14 figures, comments welcome

null

hep-th

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

The octagon function is the fundamental building block yielding correlation functions of four large BPS operators in N=4 super Yang-Mills theory at any value of the 't Hooft coupling and at any genus order. Here we compute the octagon at strong coupling, and discuss various interesting limits and implications, both at the planar and non-planar level.

[ { "created": "Mon, 9 Sep 2019 18:08:47 GMT", "version": "v1" } ]

2019-09-11

[ [ "Bargheer", "Till", "" ], [ "Coronado", "Frank", "" ], [ "Vieira", "Pedro", "" ] ]

The octagon function is the fundamental building block yielding correlation functions of four large BPS operators in N=4 super Yang-Mills theory at any value of the 't Hooft coupling and at any genus order. Here we compute the octagon at strong coupling, and discuss various interesting limits and implications, both at the planar and non-planar level.

11.267484

8.64859

12.17871

8.474261

8.945481

8.007685

8.753429

8.269889

8.450128

12.052712

9.133183

8.75226

10.407269

8.454174

8.862243

9.079672

8.771454

8.633296

8.631645

10.948493

9.350414

hep-th/9608097

Paul Mansfield

A Large Distance Expansion for Quantum Field Theory

5 pages, latex, invited talk at the Second International Sakharov Conference on Physics, May 1996

null

DTP 96/33

hep-th

null

Using analyticity of the vacuum wave-functional under complex scalings, the vacuum of a quantum field theory may be reconstructed from a derivative expansion valid for slowly varying fields. This enables the eigenvalue problem for the Hamiltonian to be reduced to algebraic equations. Applied to Yang-Mills theory this expansion leads to a confining force between quarks.

[ { "created": "Thu, 15 Aug 1996 14:42:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Mansfield", "Paul", "" ] ]

Using analyticity of the vacuum wave-functional under complex scalings, the vacuum of a quantum field theory may be reconstructed from a derivative expansion valid for slowly varying fields. This enables the eigenvalue problem for the Hamiltonian to be reduced to algebraic equations. Applied to Yang-Mills theory this expansion leads to a confining force between quarks.

15.204003

12.876411

12.873177

11.268532

12.700575

12.134223

12.18956

11.195347

11.714005

14.850419

12.324895

12.370048

12.761162

12.177444

12.3852

13.340543

12.536786

13.348043

12.6536

13.898142

12.465134

1603.07982

Vitaly Vanchurin

Dual Field Theories of Quantum Computation

19 pages, 1 figure

JHEP 1606 (2016) 001

10.1007/JHEP06(2016)001

null

hep-th quant-ph

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

Given two quantum states of N q-bits we are interested to find the shortest quantum circuit consisting of only one- and two- q-bit gates that would transfer one state into another. We call it the quantum maze problem for the reasons described in the paper. We argue that in a large N limit the quantum maze problem is equivalent to the problem of finding a semiclassical trajectory of some lattice field theory (the dual theory) on an N+1 dimensional space-time with geometrically flat, but topologically compact spatial slices. The spatial fundamental domain is an N dimensional hyper-rhombohedron, and the temporal direction describes transitions from an arbitrary initial state to an arbitrary target state. We first consider a complex Klein-Gordon field theory and argue that it can only be used to study the shortest quantum circuits which do not involve generators composed of tensor products of multiple Pauli Z matrices. Since such situation is not generic we call it the Z-problem. On the dual field theory side the Z-problem corresponds to massless excitations of the phase (Goldstone modes) that we attempt to fix using Higgs mechanism. The simplest dual theory which does not suffer from the massless excitation (or from the Z-problem) is the Abelian-Higgs model which we argue can be used for finding the shortest quantum circuits. Since every trajectory of the field theory is mapped directly to a quantum circuit, the shortest quantum circuits are identified with semiclassical trajectories. We also discuss the complexity of an actual algorithm that uses a dual theory prospective for solving the quantum maze problem and compare it with a geometric approach. We argue that it might be possible to solve the problem in sub-exponential time in 2^N, but for that we must consider the Klein-Gordon theory on curved spatial geometry and/or more complicated (than N-torus) topology.

[ { "created": "Fri, 25 Mar 2016 18:46:20 GMT", "version": "v1" }, { "created": "Wed, 18 May 2016 19:46:16 GMT", "version": "v2" }, { "created": "Wed, 7 Dec 2016 16:03:19 GMT", "version": "v3" } ]

2019-01-15

[ [ "Vanchurin", "Vitaly", "" ] ]

Given two quantum states of N q-bits we are interested to find the shortest quantum circuit consisting of only one- and two- q-bit gates that would transfer one state into another. We call it the quantum maze problem for the reasons described in the paper. We argue that in a large N limit the quantum maze problem is equivalent to the problem of finding a semiclassical trajectory of some lattice field theory (the dual theory) on an N+1 dimensional space-time with geometrically flat, but topologically compact spatial slices. The spatial fundamental domain is an N dimensional hyper-rhombohedron, and the temporal direction describes transitions from an arbitrary initial state to an arbitrary target state. We first consider a complex Klein-Gordon field theory and argue that it can only be used to study the shortest quantum circuits which do not involve generators composed of tensor products of multiple Pauli Z matrices. Since such situation is not generic we call it the Z-problem. On the dual field theory side the Z-problem corresponds to massless excitations of the phase (Goldstone modes) that we attempt to fix using Higgs mechanism. The simplest dual theory which does not suffer from the massless excitation (or from the Z-problem) is the Abelian-Higgs model which we argue can be used for finding the shortest quantum circuits. Since every trajectory of the field theory is mapped directly to a quantum circuit, the shortest quantum circuits are identified with semiclassical trajectories. We also discuss the complexity of an actual algorithm that uses a dual theory prospective for solving the quantum maze problem and compare it with a geometric approach. We argue that it might be possible to solve the problem in sub-exponential time in 2^N, but for that we must consider the Klein-Gordon theory on curved spatial geometry and/or more complicated (than N-torus) topology.

8.901754

10.827633

10.702517

10.450624

10.899469

10.596628

10.587517

11.319371

9.917532

10.705472

9.48164

10.015727

9.386786

9.402804

9.816917

9.572053

9.707913

9.672938

9.597135

9.365104

9.483864

hep-th/9308024

Yuji Kobayashi 0426-77-1111x3377

Yuji Kobayashi

The Improved Bounce Solution of SU(2)-Higgs Model

Plain TeX, 12 pages plus 3 figures available upon request, TMUP-HEL-9304

null

10.1143/ptp/90.4.885

null

hep-th

null

We further develop the reduced action formalism of the SU(2)-Higgs model originally given by Aoyama et.al.. Our new ansatz for the sphaleron solution makes it possible to apply this formalism to all range of the Higgs self coupling constant. Based on the formalism, we construct a bounce solution oscillating around the sphaleron.

[ { "created": "Fri, 6 Aug 1993 05:59:42 GMT", "version": "v1" }, { "created": "Tue, 10 Aug 1993 06:59:54 GMT", "version": "v2" } ]

2017-02-01

[ [ "Kobayashi", "Yuji", "" ] ]

We further develop the reduced action formalism of the SU(2)-Higgs model originally given by Aoyama et.al.. Our new ansatz for the sphaleron solution makes it possible to apply this formalism to all range of the Higgs self coupling constant. Based on the formalism, we construct a bounce solution oscillating around the sphaleron.

11.598381

8.058946

9.594812

8.6514

9.60241

9.234581

9.007406

9.850766

8.972796

10.315425

9.674565

9.868225

10.58731

10.218516

9.825453

9.369391

10.021586

9.722413

10.14323

9.842836

9.699522

1309.0785

Arkady Tseytlin

A.A. Tseytlin

On partition function and Weyl anomaly of conformal higher spin fields

36 pages. v2: misprints corrected, references added; v3: comments on D greater than 4 generalization and appendix B on conformal higher derivative scalar operator added; v4: a minor comment in section 3.1 and references added

null

10.1016/j.nuclphysb.2013.10.009

Imperial-TP-AT-2013-4

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

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

We study 4-dimensional higher-derivative conformal higher spin (CHS) fields generalising Weyl graviton and conformal gravitino. They appear, in particular, as "induced" theories in the AdS/CFT context. We consider their partition function on curved Einstein-space backgrounds like (A)dS or sphere and Ricci-flat spaces. Remarkably, the bosonic (integer spin s) CHS partition function appears to be given by a product of partition functions of the standard 2nd-derivative "partially massless" spin s fields, generalising the previously known expression for the 1-loop Weyl graviton (s=2) partition function. We compute the corresponding spin s Weyl anomaly coefficients a_s and c_s. Our result for a_s reproduces the expression found recently in arXiv:1306.5242 by an indirect method implied by AdS/CFT (which relates the partition function of a CHS field on S^4 to a ratio of known partition functions of massless higher spin field in AdS_5 with alternate boundary conditions). We also obtain similar results for the fermionic CHS fields. In this half-integer spin s case the CHS partition function on (A)dS background is given by a product of squares of "partially massless" spin s partition functions and one extra factor corresponding to a special massive conformally invariant spin s field. It was noticed in arXiv:1306.5242 that the sum of the bosonic a_s coefficients over all spins s is zero when computed using the zeta-function regularization, and we observe that the same property is true also in the fermionic case, suggesting that the corresponding conformal higher spin theory may be consistent at the quantum level.

[ { "created": "Tue, 3 Sep 2013 19:26:50 GMT", "version": "v1" }, { "created": "Sat, 7 Sep 2013 21:16:37 GMT", "version": "v2" }, { "created": "Mon, 23 Sep 2013 18:34:33 GMT", "version": "v3" }, { "created": "Mon, 28 Oct 2013 19:55:07 GMT", "version": "v4" } ]

2015-06-17

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

We study 4-dimensional higher-derivative conformal higher spin (CHS) fields generalising Weyl graviton and conformal gravitino. They appear, in particular, as "induced" theories in the AdS/CFT context. We consider their partition function on curved Einstein-space backgrounds like (A)dS or sphere and Ricci-flat spaces. Remarkably, the bosonic (integer spin s) CHS partition function appears to be given by a product of partition functions of the standard 2nd-derivative "partially massless" spin s fields, generalising the previously known expression for the 1-loop Weyl graviton (s=2) partition function. We compute the corresponding spin s Weyl anomaly coefficients a_s and c_s. Our result for a_s reproduces the expression found recently in arXiv:1306.5242 by an indirect method implied by AdS/CFT (which relates the partition function of a CHS field on S^4 to a ratio of known partition functions of massless higher spin field in AdS_5 with alternate boundary conditions). We also obtain similar results for the fermionic CHS fields. In this half-integer spin s case the CHS partition function on (A)dS background is given by a product of squares of "partially massless" spin s partition functions and one extra factor corresponding to a special massive conformally invariant spin s field. It was noticed in arXiv:1306.5242 that the sum of the bosonic a_s coefficients over all spins s is zero when computed using the zeta-function regularization, and we observe that the same property is true also in the fermionic case, suggesting that the corresponding conformal higher spin theory may be consistent at the quantum level.

6.983221

7.056091

7.538436

6.775329

6.878052

6.847503

6.754964

6.769507

6.624036

8.247381

6.579936

6.756311

6.992946

6.647168

6.759131

6.84223

6.727083

6.591295

6.705052

7.086083

6.655196

2212.10214

Massimo Giovannini

The hypermagnetic power spectra and the phases of Sakharov oscillations

40 pages, 11 figures

null

10.1103/PhysRevD.107.043525

null

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

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

If the gauge fields are amplified from the inflationary vacuum, the quantum mechanical initial data correspond to travelling waves that turn asymptotically into standing waves whose phases only depend on the evolution of the gauge coupling. We point out that these gauge analogs of the Sakharov oscillations are exchanged by the duality symmetry and ultimately constrain both the relative scaling of the hypermagnetic power spectra and their final asymptotic values. Unlike the case of the density contrasts in a relativistic plasma, the standing oscillations never develop since they are eventually overdamped by the finite value of the conductivity as soon as the corresponding modes are comparable with the expansion rates after inflation. We show that the late-time value of the magnetic field is not determined at radiation dominance (and in spite of the value of the wavenumber) but it depends on the moment when the wavelengths (comparable with the Mpc) get of the order of the Hubble radius before equality. This means that the magnetogenesis requirements are only relaxed if the post-inflationary expansion rate is slower than radiation but the opposite is true when the plasma expands faster than radiation and the corresponding power spectra are further suppressed. After combining the present findings with the evolution of the gauge coupling we show that these results are consistent with a magnetogenesis scenario where the gauge coupling is always perturbative during the inflationary stage while, in the dual case, the same requirements cannot be satisfied.

[ { "created": "Tue, 20 Dec 2022 12:47:52 GMT", "version": "v1" } ]

2023-03-08

[ [ "Giovannini", "Massimo", "" ] ]

If the gauge fields are amplified from the inflationary vacuum, the quantum mechanical initial data correspond to travelling waves that turn asymptotically into standing waves whose phases only depend on the evolution of the gauge coupling. We point out that these gauge analogs of the Sakharov oscillations are exchanged by the duality symmetry and ultimately constrain both the relative scaling of the hypermagnetic power spectra and their final asymptotic values. Unlike the case of the density contrasts in a relativistic plasma, the standing oscillations never develop since they are eventually overdamped by the finite value of the conductivity as soon as the corresponding modes are comparable with the expansion rates after inflation. We show that the late-time value of the magnetic field is not determined at radiation dominance (and in spite of the value of the wavenumber) but it depends on the moment when the wavelengths (comparable with the Mpc) get of the order of the Hubble radius before equality. This means that the magnetogenesis requirements are only relaxed if the post-inflationary expansion rate is slower than radiation but the opposite is true when the plasma expands faster than radiation and the corresponding power spectra are further suppressed. After combining the present findings with the evolution of the gauge coupling we show that these results are consistent with a magnetogenesis scenario where the gauge coupling is always perturbative during the inflationary stage while, in the dual case, the same requirements cannot be satisfied.

17.280016

18.735714

16.966866

16.630693

17.931887

18.747633

17.400724

16.679583

17.714756

17.370764

17.556858

17.063477

16.593819

16.118496

16.478292

16.556679

16.896818

16.81531

16.574509

16.644382

16.762005

hep-th/0412267

Paul Korbel

Quantum Basis of Lorentz Symmetry

21 pages

null

hep-th

null

An unconventional outlook on relationship between the quantum mechanics and special relativity is proposed. We show that the two fundamental postulates of quantum mechanics of Planck and de Broglie combined with the idea of comparison scale (explained in the paper), are enough to introduce relativistic description. We argue that Lorentz group is the symmetry group of quantum, preferred frame description. We indicate that the departure from the orthodox relativity postulate allows us, in easy way, to make special relativity and quantum mechanics indivisible whole.

[ { "created": "Tue, 21 Dec 2004 23:35:53 GMT", "version": "v1" } ]

2007-05-23

[ [ "Korbel", "Paul", "" ] ]

An unconventional outlook on relationship between the quantum mechanics and special relativity is proposed. We show that the two fundamental postulates of quantum mechanics of Planck and de Broglie combined with the idea of comparison scale (explained in the paper), are enough to introduce relativistic description. We argue that Lorentz group is the symmetry group of quantum, preferred frame description. We indicate that the departure from the orthodox relativity postulate allows us, in easy way, to make special relativity and quantum mechanics indivisible whole.

19.244772

18.77302

19.286795

19.203196

18.969772

19.779831

19.859217

18.68046

17.371853

20.069105

19.742121

18.793436

19.541765

19.119219

19.316072

19.636843

19.742714

18.582455

19.062866

18.768888

18.890163

1612.08858

Gordon Semenoff

Gianluca Grignani, Gordon W. Semenoff

Scattering and momentum space entanglement

null

10.1016/j.physletb.2017.07.030

null

hep-th hep-ph quant-ph

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

We derive a formula for the entanglement entropy of two regions in momentum space that is generated by the scattering of weakly interacting scalar particles. We discuss an example where weak interactions entangle momentum scales above and below an infrared cutoff.

[ { "created": "Wed, 28 Dec 2016 11:40:40 GMT", "version": "v1" } ]

2017-09-13

[ [ "Grignani", "Gianluca", "" ], [ "Semenoff", "Gordon W.", "" ] ]

We derive a formula for the entanglement entropy of two regions in momentum space that is generated by the scattering of weakly interacting scalar particles. We discuss an example where weak interactions entangle momentum scales above and below an infrared cutoff.

17.073015

16.051853

13.212381

13.29339

15.98228

13.232769

13.088547

13.830343

12.6777

14.14342

14.753068

15.243846

14.562613

14.824242

14.841648

14.783561

14.978441

15.226422

14.28535

16.30267

14.674454

1304.0822

Mikhail Shifman

M. Shifman, A. Yung

Detailing N=1 Seiberg's Duality through the Seiberg-Witten Solution of N=2

30 pp., 3 figs; v2. One reference added

null

10.1103/PhysRevD.87.106009

FTPI-MINN-13/10, UMN-TH-3142/13

hep-th

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

Starting from the Seiberg-Witten solution of N=2 SQCD with the U(N) gauge group and N_f quark flavors we construct the so-called \mu-dual N=1 theory in the r vacua in the regime analogous to that existing to the left of the left edge of the Seiberg conformal window (here r is the number of condensed quarks). The strong-weak coupling duality is shown to exist in the so-called zero vacua which can be found at r< N_f-N. We show that the \mu-dual theory matches the Seiberg dual in the zero vacua.

[ { "created": "Wed, 3 Apr 2013 02:10:47 GMT", "version": "v1" }, { "created": "Thu, 18 Apr 2013 16:02:16 GMT", "version": "v2" } ]

2013-06-05

[ [ "Shifman", "M.", "" ], [ "Yung", "A.", "" ] ]

Starting from the Seiberg-Witten solution of N=2 SQCD with the U(N) gauge group and N_f quark flavors we construct the so-called \mu-dual N=1 theory in the r vacua in the regime analogous to that existing to the left of the left edge of the Seiberg conformal window (here r is the number of condensed quarks). The strong-weak coupling duality is shown to exist in the so-called zero vacua which can be found at r< N_f-N. We show that the \mu-dual theory matches the Seiberg dual in the zero vacua.

10.486311

9.687016

11.69329

8.59377

9.446061

8.702244

8.862606

8.778839

8.209125

11.062947

9.203207

9.029297

9.943344

9.164443

9.4114

8.961184

9.213512

9.255351

8.908545

10.147882

8.73546

1611.03101

Yifan Wang

Jaume Gomis, Zohar Komargodski, Hirosi Ooguri, Nathan Seiberg, and Yifan Wang

Shortening Anomalies in Supersymmetric Theories

31 pages. v2: reference added

null

10.1007/JHEP01(2017)067

CALT-TH-2016-031, IPMU 16-016, PUPT-2513

hep-th

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

We present new anomalies in two-dimensional ${\mathcal N} =(2, 2)$ superconformal theories. They obstruct the shortening conditions of chiral and twisted chiral multiplets at coincident points. This implies that marginal couplings cannot be promoted to background superfields in short representations. Therefore, standard results that follow from ${\mathcal N} =(2, 2)$ spurion analysis are invalidated. These anomalies appear only if supersymmetry is enhanced beyond ${\mathcal N} =(2, 2)$. These anomalies explain why the conformal manifolds of the K3 and $T^4$ sigma models are not K\"ahler and do not factorize into chiral and twisted chiral moduli spaces and why there are no ${\mathcal N} =(2, 2)$ gauged linear sigma models that cover these conformal manifolds. We also present these results from the point of view of the Riemann curvature of conformal manifolds.

[ { "created": "Wed, 9 Nov 2016 21:35:13 GMT", "version": "v1" }, { "created": "Thu, 1 Dec 2016 17:25:11 GMT", "version": "v2" } ]

2017-03-08

[ [ "Gomis", "Jaume", "" ], [ "Komargodski", "Zohar", "" ], [ "Ooguri", "Hirosi", "" ], [ "Seiberg", "Nathan", "" ], [ "Wang", "Yifan", "" ] ]

We present new anomalies in two-dimensional ${\mathcal N} =(2, 2)$ superconformal theories. They obstruct the shortening conditions of chiral and twisted chiral multiplets at coincident points. This implies that marginal couplings cannot be promoted to background superfields in short representations. Therefore, standard results that follow from ${\mathcal N} =(2, 2)$ spurion analysis are invalidated. These anomalies appear only if supersymmetry is enhanced beyond ${\mathcal N} =(2, 2)$. These anomalies explain why the conformal manifolds of the K3 and $T^4$ sigma models are not K\"ahler and do not factorize into chiral and twisted chiral moduli spaces and why there are no ${\mathcal N} =(2, 2)$ gauged linear sigma models that cover these conformal manifolds. We also present these results from the point of view of the Riemann curvature of conformal manifolds.

5.606719

5.851733

7.014786

5.918914

6.037894

6.13187

5.663717

5.917345

5.813774

7.351686

5.779566

5.535866

5.951598

5.449302

5.44125

5.545769

5.453009

5.565107

5.50399

5.734274

5.5288

hep-th/0410164

Yoshishige Kobayashi

Yoshishige Kobayashi, Shin Sasaki

Lorentz invariant and supersymmetric interpretation of noncommutative quantum field theory

15 pages, LaTeX. v3:One section added, typos corrected, to appear in Int. J. Mod. Phys. A

Int.J.Mod.Phys. A20 (2005) 7175-7188

10.1142/S0217751X05022421

null

hep-th

null

In this paper, using a Hopf-algebraic method, we construct deformed Poincar\'e SUSY algebra in terms of twisted (Hopf) algebra. By adapting this twist deformed super-Poincar\'e algrebra as our fundamental symmetry, we can see the consistency between the algebra and non(anti)commutative relation among (super)coordinates and interpret that symmetry of non(anti)commutative QFT is in fact twisted one. The key point is validity of our new twist element that guarantees non(anti)commutativity of space. It is checked in this paper for N=1 case. We also comment on the possibility of noncommutative central charge coordinate. Finally, because our twist operation does not break the original algebra, we can claim that (twisted) SUSY is not broken in contrast to the string inspired $\mathcal{N}=1/2$ SUSY in N=1 non(anti)commutative superspace.

[ { "created": "Thu, 14 Oct 2004 10:13:21 GMT", "version": "v1" }, { "created": "Tue, 9 Nov 2004 13:49:44 GMT", "version": "v2" }, { "created": "Mon, 7 Mar 2005 10:25:34 GMT", "version": "v3" } ]

2009-11-10

[ [ "Kobayashi", "Yoshishige", "" ], [ "Sasaki", "Shin", "" ] ]

In this paper, using a Hopf-algebraic method, we construct deformed Poincar\'e SUSY algebra in terms of twisted (Hopf) algebra. By adapting this twist deformed super-Poincar\'e algrebra as our fundamental symmetry, we can see the consistency between the algebra and non(anti)commutative relation among (super)coordinates and interpret that symmetry of non(anti)commutative QFT is in fact twisted one. The key point is validity of our new twist element that guarantees non(anti)commutativity of space. It is checked in this paper for N=1 case. We also comment on the possibility of noncommutative central charge coordinate. Finally, because our twist operation does not break the original algebra, we can claim that (twisted) SUSY is not broken in contrast to the string inspired $\mathcal{N}=1/2$ SUSY in N=1 non(anti)commutative superspace.

12.054877

11.673652

13.292243

10.90694

12.000587

12.563338

11.701165

10.913079

11.100543

13.332914

11.644354

11.254132

12.165737

11.0591

11.227739

11.180457

11.203424

11.275645

11.308267

11.744391

11.07548

1503.01044

Tomas Ortin

Pablo Bueno, Pedro Fernandez-Ramirez, Patrick Meessen and Tomas Ortin

Resolution of SU(2) monopole singularities by oxidation

13 pages, LaTeX file, no figures

null

10.1016/j.physletb.2015.04.065

University of Oviedo preprint FPAUO-15/07 and IFT-UAM/CSIC preprint IFT-UAM/CSIC-15-019

hep-th

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

We show how "colored" SU(2) BPS monopoles (that is: SU(2) monopoles satisfying the Bogomol'nyi equation whose Higgs field and magnetic charge vanish at infinity and which are singular at the origin) can be obtained from the BPST instanton by a singular dimensional reduction, explaining the origin of the singularity and implying that the singularity can be cured by the oxidation of the solution. We study the oxidation of other monopole solutions in this scheme.

[ { "created": "Tue, 3 Mar 2015 18:29:37 GMT", "version": "v1" } ]

2015-05-06

[ [ "Bueno", "Pablo", "" ], [ "Fernandez-Ramirez", "Pedro", "" ], [ "Meessen", "Patrick", "" ], [ "Ortin", "Tomas", "" ] ]

We show how "colored" SU(2) BPS monopoles (that is: SU(2) monopoles satisfying the Bogomol'nyi equation whose Higgs field and magnetic charge vanish at infinity and which are singular at the origin) can be obtained from the BPST instanton by a singular dimensional reduction, explaining the origin of the singularity and implying that the singularity can be cured by the oxidation of the solution. We study the oxidation of other monopole solutions in this scheme.

9.922246

10.496431

9.959766

9.378486

11.288548

11.212331

10.669935

8.985535

10.000277

10.410192

9.784886

9.612188

9.884998

9.614715

9.877944

9.680532

9.618186

9.793305

9.480642

9.648668

9.643466

0711.2742

Mykola Shpot

M. A. Shpot

A massive Feynman integral and some reduction relations for Appell functions

19 pages. To appear in Journal of Mathematical Physics

J.Math.Phys.48:123512,2007

10.1063/1.2821256

null

hep-th math-ph math.CA math.MP

null

New explicit expressions are derived for the one-loop two-point Feynman integral with arbitrary external momentum and masses $m_1^2$ and $m_2^2$ in D dimensions. The results are given in terms of Appell functions, manifestly symmetric with respect to the masses $m_i^2$. Equating our expressions with previously known results in terms of Gauss hypergeometric functions yields reduction relations for the involved Appell functions that are apparently new mathematical results.

[ { "created": "Sat, 17 Nov 2007 15:03:38 GMT", "version": "v1" } ]

2008-11-26

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

New explicit expressions are derived for the one-loop two-point Feynman integral with arbitrary external momentum and masses $m_1^2$ and $m_2^2$ in D dimensions. The results are given in terms of Appell functions, manifestly symmetric with respect to the masses $m_i^2$. Equating our expressions with previously known results in terms of Gauss hypergeometric functions yields reduction relations for the involved Appell functions that are apparently new mathematical results.

8.373005

9.249915

7.773848

7.945306

9.163639

8.217184

8.722154

8.468937

7.834715

7.661642

7.770205

7.564452

8.162966

7.566447

8.092769

7.893334

8.029841

7.867692

7.652063

7.869289

7.888777

2407.08638

Renann Lipinski Jusinskas

Strings as particle arrays

13 pages. v2: small improvements, references added

null

hep-th

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

These notes discuss the emergence of the Polyakov action from the low-energy limit of an array of relativistic particles with harmonic interactions, which is suggestive of a ``microscopic'' description of string theory.

[ { "created": "Thu, 11 Jul 2024 16:19:05 GMT", "version": "v1" }, { "created": "Fri, 12 Jul 2024 18:35:37 GMT", "version": "v2" } ]

2024-07-16

[ [ "Jusinskas", "Renann Lipinski", "" ] ]

These notes discuss the emergence of the Polyakov action from the low-energy limit of an array of relativistic particles with harmonic interactions, which is suggestive of a ``microscopic'' description of string theory.

18.15085

12.121882

14.77999

11.455237

12.632387

12.631141

11.867728

11.101197

12.062027

16.057495

11.197162

11.957473

15.707761

12.454968

11.937838

11.441748

11.600939

11.775006

12.972995

14.889608

10.910958

hep-th/9809125

Marco Matone

Alon E. Faraggi and Marco Matone

Equivalence Principle, Planck Length and Quantum Hamilton-Jacobi Equation

1+7 pages, LaTeX. Typos corrected, to appear in Phys. Lett. B

Phys.Lett. B445 (1998) 77-81

10.1016/S0370-2693(98)01484-1

UMN-TH-1722-98-TPI-MINN-98/19, DFPD97/TH/51

hep-th gr-qc hep-ph math-ph math.MP nlin.SI quant-ph solv-int

null

The Quantum Stationary HJ Equation (QSHJE) that we derived from the equivalence principle, gives rise to initial conditions which cannot be seen in the Schroedinger equation. Existence of the classical limit leads to a dependence of the integration constant $\ell=\ell_1+i\ell_2$ on the Planck length. Solutions of the QSHJE provide a trajectory representation of quantum mechanics which, unlike Bohm's theory, has a non-trivial action even for bound states and no wave guide is present. The quantum potential turns out to be an intrinsic potential energy of the particle which, similarly to the relativistic rest energy, is never vanishing.

[ { "created": "Thu, 17 Sep 1998 15:59:08 GMT", "version": "v1" }, { "created": "Tue, 29 Sep 1998 21:59:55 GMT", "version": "v2" }, { "created": "Fri, 20 Nov 1998 15:38:33 GMT", "version": "v3" } ]

2009-10-31

[ [ "Faraggi", "Alon E.", "" ], [ "Matone", "Marco", "" ] ]

The Quantum Stationary HJ Equation (QSHJE) that we derived from the equivalence principle, gives rise to initial conditions which cannot be seen in the Schroedinger equation. Existence of the classical limit leads to a dependence of the integration constant $\ell=\ell_1+i\ell_2$ on the Planck length. Solutions of the QSHJE provide a trajectory representation of quantum mechanics which, unlike Bohm's theory, has a non-trivial action even for bound states and no wave guide is present. The quantum potential turns out to be an intrinsic potential energy of the particle which, similarly to the relativistic rest energy, is never vanishing.

15.502975

14.423655

15.619854

14.277053

14.953363

15.432747

15.30258

13.596842

14.053026

15.096653

13.833618

14.708654

14.904374

14.290555

13.811916

13.945168

13.880277

14.624882

14.294103

14.301731

14.030078

hep-th/9510028

Ioannis Bakas

E. Alvarez, L. Alvarez-Gaume and I. Bakas

Supersymmetry and Dualities

19 pages, latex, no figures

Nucl.Phys.Proc.Suppl. 46 (1996) 16-29

10.1016/0920-5632(96)00003-5

CERN-TH/95-258, FTUAM/95-34

hep-th

null

Duality transformations with respect to rotational isometries relate supersymmetric with non-supersymmetric backgrounds in string theory. We find that non-local world-sheet effects have to be taken into account in order to restore supersymmetry at the string level. The underlying superconformal algebra remains the same, but in this case T-duality relates local with non-local realizations of the algebra in terms of parafermions. This is another example where stringy effects resolve paradoxes of the effective field theory. (Contribution to the proceedings of the Trieste conference on S-Duality and Mirror Symmetry; to appear in Nucl Phys B Proc Suppl)

[ { "created": "Fri, 6 Oct 1995 15:43:40 GMT", "version": "v1" } ]

2009-10-28

[ [ "Alvarez", "E.", "" ], [ "Alvarez-Gaume", "L.", "" ], [ "Bakas", "I.", "" ] ]

Duality transformations with respect to rotational isometries relate supersymmetric with non-supersymmetric backgrounds in string theory. We find that non-local world-sheet effects have to be taken into account in order to restore supersymmetry at the string level. The underlying superconformal algebra remains the same, but in this case T-duality relates local with non-local realizations of the algebra in terms of parafermions. This is another example where stringy effects resolve paradoxes of the effective field theory. (Contribution to the proceedings of the Trieste conference on S-Duality and Mirror Symmetry; to appear in Nucl Phys B Proc Suppl)

10.084229

8.251564

10.257258

7.837551

7.898999

7.883169

7.281553

8.124368

7.679367

11.189804

8.250219

8.236582

9.503734

7.965358

8.152375

8.28081

8.22197

8.147

8.010944

9.177238

8.128377

1601.07530

Ahmad Ghodsi

Ahmad Ghodsi, Mohammad R. Garousi and Ghadir Jafari

On T-duality of $R^2$-corrections to DBI action at all orders of gauge field

13 pages

JHEP 1604 (2016) 081 (2016-04-14)

10.1007/JHEP04(2016)081

null

hep-th

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

Recently, it has been observed that in a T-duality invariant world-volume theory in flat spacetime, all orders of gauge field strength and all orders of the D-brane velocity appear in two specific matrices. Using these two matrices, we construct the world-volume couplings of two massless NSNS states at order $\alpha'^2$ and all orders of the velocity and the gauge field strength, by requiring them to be invariant under the linear T-duality. The standard extension $F\rightarrow F+P[B]$, then produces all orders of the pull-back of B-field into the action. We compare the resulting couplings for zero velocity and gauge field strength, with the $\alpha'^2$ terms of the disk-level S-matrix element of two massless NSNS vertex operators in the presence of a constant background B-field. We have found an exact agreement.

[ { "created": "Wed, 27 Jan 2016 20:18:38 GMT", "version": "v1" } ]

2016-10-18

[ [ "Ghodsi", "Ahmad", "" ], [ "Garousi", "Mohammad R.", "" ], [ "Jafari", "Ghadir", "" ] ]

Recently, it has been observed that in a T-duality invariant world-volume theory in flat spacetime, all orders of gauge field strength and all orders of the D-brane velocity appear in two specific matrices. Using these two matrices, we construct the world-volume couplings of two massless NSNS states at order $\alpha'^2$ and all orders of the velocity and the gauge field strength, by requiring them to be invariant under the linear T-duality. The standard extension $F\rightarrow F+P[B]$, then produces all orders of the pull-back of B-field into the action. We compare the resulting couplings for zero velocity and gauge field strength, with the $\alpha'^2$ terms of the disk-level S-matrix element of two massless NSNS vertex operators in the presence of a constant background B-field. We have found an exact agreement.

10.162612

8.231801

11.089426

8.71173

9.526564

9.045668

8.837895

9.131529

8.643705

11.305447

9.229519

9.665338

10.647793

9.450787

9.401913

9.337436

9.546994

9.418376

9.626169

10.590527

9.438803

hep-th/9708079

Joern Haeuser

J.M. Hauser, W. Cassing, S. Leupold, and M.H. Thoma (Institut fuer Theoretische Physik, Universitaet Giessen)

Convergence properties of the equal-time connected Green function approach for temporal gauge SU(2)_{2+1} Yang-Mills theory

43 pages, LaTeX, 15 PS figures

Annals Phys. 265 (1998) 155-197

10.1006/aphy.1997.5820

UGI-97-11

hep-th hep-ph

null

The hierarchy of equations of motion for equal-time Green functions in temporal gauge SU(N) Yang-Mills theory is truncated using an expansion in terms of connected Green functions. A second hierarchy of constraint equations arises from Gauss law and can be truncated in a similar way. Within this approximation scheme we investigate SU(2) Yang-Mills theory on a torus in 2+1 spacetime dimensions in a finite basis of plane wave states and focus on infrared and ultraviolet properties of the approach. We study the consequences of restoring the hierarchy of Gauss law constraints and of different momentum cutoffs for the 2- and the 3-point functions. In all truncation schemes considered up to the 4-point level the connected Green function approach is found to be UV divergent and either violating gauge invariance and/or energy conservation. The problems associated with adiabatically generating a perturbed ground state are discussed as well.

[ { "created": "Thu, 14 Aug 1997 16:04:30 GMT", "version": "v1" } ]

2009-10-30

[ [ "Hauser", "J. M.", "", "Institut fuer\n Theoretische Physik, Universitaet Giessen" ], [ "Cassing", "W.", "", "Institut fuer\n Theoretische Physik, Universitaet Giessen" ], [ "Leupold", "S.", "", "Institut fuer\n Theoretische Physik, Universitaet Giessen" ], [ "Thoma", "M. H.", "", "Institut fuer\n Theoretische Physik, Universitaet Giessen" ] ]

The hierarchy of equations of motion for equal-time Green functions in temporal gauge SU(N) Yang-Mills theory is truncated using an expansion in terms of connected Green functions. A second hierarchy of constraint equations arises from Gauss law and can be truncated in a similar way. Within this approximation scheme we investigate SU(2) Yang-Mills theory on a torus in 2+1 spacetime dimensions in a finite basis of plane wave states and focus on infrared and ultraviolet properties of the approach. We study the consequences of restoring the hierarchy of Gauss law constraints and of different momentum cutoffs for the 2- and the 3-point functions. In all truncation schemes considered up to the 4-point level the connected Green function approach is found to be UV divergent and either violating gauge invariance and/or energy conservation. The problems associated with adiabatically generating a perturbed ground state are discussed as well.

11.829154

11.915632

12.432569

11.202457

12.228498

12.284218

12.157779

10.878778

11.90138

13.617062

11.258871

11.865005

11.958094

11.675887

11.934698

12.294065

12.073959

12.147293

11.828546

12.258082

11.803453

0807.0923

Partha Mukhopadhyay

On the Conformal Field Theories for Bosonic Strings in PP-Waves

19 pages

JHEP0811:034,2008

10.1088/1126-6708/2008/11/034

UK/08-06

hep-th

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

Recently Kazama and Yokoi (arXiv:0801.1561 [hep-th]) have used a phase-space method to study the Virasoro algebra of type IIB superstring theory in the maximally supersymmetric R-R plane wave background in a semi-light-cone gauge. Two types of normal ordering have been considered, namely "phase space normal ordering" (PNO) and "massless normal ordering" (MNO). The second one, which is the right one to choose in flat background, has been discarded with the argument that the Virasoro algebra closes only in the first case. To understand this issue better with a completely covariant treatment we consider the easiest case of bosonic strings propagating in an arbitrary pp-wave of the simplest kind. Using the phase-space method we show that MNO is in fact the right one to choose because of the following reason. For both types of normal ordering the energy-momentum tensor satisfies the desired Virasoro algebra up to anomalous terms proportional to the space-time equation of motion of the background. However, it is MNO which gives rise to the correct spectrum - we compute the quadratic space-time action by restricting the string field inside a transverse Hilbert space. This turns out to be non-diagonal. Diagonalizing this action reproduces the spectrum directly obtained in light-cone quantization. The same method with PNO gives rise to a spectrum with negative dimensions.

[ { "created": "Sun, 6 Jul 2008 18:07:36 GMT", "version": "v1" } ]

2008-11-26

[ [ "Mukhopadhyay", "Partha", "" ] ]

Recently Kazama and Yokoi (arXiv:0801.1561 [hep-th]) have used a phase-space method to study the Virasoro algebra of type IIB superstring theory in the maximally supersymmetric R-R plane wave background in a semi-light-cone gauge. Two types of normal ordering have been considered, namely "phase space normal ordering" (PNO) and "massless normal ordering" (MNO). The second one, which is the right one to choose in flat background, has been discarded with the argument that the Virasoro algebra closes only in the first case. To understand this issue better with a completely covariant treatment we consider the easiest case of bosonic strings propagating in an arbitrary pp-wave of the simplest kind. Using the phase-space method we show that MNO is in fact the right one to choose because of the following reason. For both types of normal ordering the energy-momentum tensor satisfies the desired Virasoro algebra up to anomalous terms proportional to the space-time equation of motion of the background. However, it is MNO which gives rise to the correct spectrum - we compute the quadratic space-time action by restricting the string field inside a transverse Hilbert space. This turns out to be non-diagonal. Diagonalizing this action reproduces the spectrum directly obtained in light-cone quantization. The same method with PNO gives rise to a spectrum with negative dimensions.

9.493947

9.203385

10.419065

8.987435

9.191494

9.094035

9.298657

9.478843

9.360335

11.098673

9.694427

9.008573

9.548209

9.166034

8.855968

9.259474

9.24188

9.271553

9.260845

9.756308

9.242603

1203.2948

Aalok Misra

Local D3/D7 mu-Split SUSY, 125 GeV Higgs and Large Volume Ricci-Flat Swiss-Cheese Metrics: A Brief Review

1+14 pages, LaTeX, invited review for MPLA. arXiv admin note: text overlap with arXiv:1105.0365

null

10.1142/S0217732312300133

null

hep-th hep-ph

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

In this article, we review briefly recent progress made in realizing local(ized around a mobile space-time filling D3-brane in) D3/D7 mu-Split Supersymmetry in (the large volume limit of Type IIB) String Theory (compactified on Swiss-Cheese Calabi-Yau orientifolds) as well as obtaining a 125 GeV (light) Higgs in the same set up. We also discuss obtaining the geometric Kaehler potential (and hence the Ricci-Flat metric) for the Swiss-Cheese Calabi-Yau in the large volume limit using the Donaldson's algorithm and intuition from GLSM-based calculations - we present new results for Swiss-Cheese Calabi-Yau (used in the set up) metrics at points finitely away from the "big" divisor.

[ { "created": "Tue, 13 Mar 2012 20:47:20 GMT", "version": "v1" } ]

2015-06-04

[ [ "Misra", "Aalok", "" ] ]

In this article, we review briefly recent progress made in realizing local(ized around a mobile space-time filling D3-brane in) D3/D7 mu-Split Supersymmetry in (the large volume limit of Type IIB) String Theory (compactified on Swiss-Cheese Calabi-Yau orientifolds) as well as obtaining a 125 GeV (light) Higgs in the same set up. We also discuss obtaining the geometric Kaehler potential (and hence the Ricci-Flat metric) for the Swiss-Cheese Calabi-Yau in the large volume limit using the Donaldson's algorithm and intuition from GLSM-based calculations - we present new results for Swiss-Cheese Calabi-Yau (used in the set up) metrics at points finitely away from the "big" divisor.

16.216757

14.666608

16.64237

13.341532

13.231109

13.846906

14.07795

14.248866

13.377986

17.558445

13.477354

13.845298

14.883707

14.005857

13.787349

14.076462

13.955016

14.348104

14.29411

14.9198

14.285273

2111.07989

Shai Chester

Shai M. Chester, Ross Dempsey, and Silviu S. Pufu

Bootstrapping $\mathcal{N}=4$ super-Yang-Mills on the conformal manifold

31 pages plus appendices, 13 figures, v3 expanded discussion of integration region

null

PUPT-2627

hep-th

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

We combine supersymmetric localization results with numerical bootstrap techniques to compute upper bounds on the low-lying CFT data of ${\cal N} = 4$ super-Yang-Mills theory as a function of the complexified gauge coupling $\tau$. In particular, from the stress tensor multiplet four-point function, we extract the scaling dimension of the lowest-lying unprotected scalar operator and its OPE coefficient. While our method can be applied in principle to any gauge group $G$, we focus on $G = SU(2)$ and $SU(3)$ for simplicity. At weak coupling, the upper bounds we find are very close to the corresponding four-loop results. We also give preliminary evidence that these upper bounds become small islands under reasonable assumptions.

[ { "created": "Mon, 15 Nov 2021 18:50:45 GMT", "version": "v1" }, { "created": "Fri, 19 Nov 2021 15:06:26 GMT", "version": "v2" }, { "created": "Sat, 8 Oct 2022 14:14:40 GMT", "version": "v3" } ]

2022-10-11

[ [ "Chester", "Shai M.", "" ], [ "Dempsey", "Ross", "" ], [ "Pufu", "Silviu S.", "" ] ]

We combine supersymmetric localization results with numerical bootstrap techniques to compute upper bounds on the low-lying CFT data of ${\cal N} = 4$ super-Yang-Mills theory as a function of the complexified gauge coupling $\tau$. In particular, from the stress tensor multiplet four-point function, we extract the scaling dimension of the lowest-lying unprotected scalar operator and its OPE coefficient. While our method can be applied in principle to any gauge group $G$, we focus on $G = SU(2)$ and $SU(3)$ for simplicity. At weak coupling, the upper bounds we find are very close to the corresponding four-loop results. We also give preliminary evidence that these upper bounds become small islands under reasonable assumptions.

5.778707

5.357494

7.451947

5.456393

5.363287

5.353109

5.955782

5.380055

5.429136

7.185

5.46691

5.387906

6.354122

5.744841

5.520229

5.391851

5.489749

5.325714

5.573243

6.582594

5.58562

1007.0736

Delsate T\'erence

Yves Brihaye, T\'erence Delsate, Nobuyuki Sawado, Yuta Kodama

Inflating baby-Skyrme branes in six dimensions

24 pages, 16 figures

Phys.Rev.D82:106002,2010

10.1103/PhysRevD.82.106002

null

hep-th gr-qc

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

We consider a six dimensional brane world model, where the brane is described by a localized solution to the baby-Skyrme model extending in the extradimensions. The branes have a cosmological constant modeled by inflating four dimensional slices and we further consider a bulk cosmological constant. We construct solutions numerically and present evidences that the solutions cease to exist for large values of the brane cosmological constant in some particular case. Then we study the stability of the model by considering perturbation of the gravitational part (resp. baby skyrmion) with fixed matter fields (resp. gravitational background). Our results indicate that the perturbation equations do not admit localized solutions for certain type of perturbation. The stability analysis can be alternatively seen as leading to a particle spectrum; we give mass estimations for the baby-Skyrme perturbation and for the graviton.

[ { "created": "Mon, 5 Jul 2010 18:07:50 GMT", "version": "v1" } ]

2010-11-11

[ [ "Brihaye", "Yves", "" ], [ "Delsate", "Térence", "" ], [ "Sawado", "Nobuyuki", "" ], [ "Kodama", "Yuta", "" ] ]

We consider a six dimensional brane world model, where the brane is described by a localized solution to the baby-Skyrme model extending in the extradimensions. The branes have a cosmological constant modeled by inflating four dimensional slices and we further consider a bulk cosmological constant. We construct solutions numerically and present evidences that the solutions cease to exist for large values of the brane cosmological constant in some particular case. Then we study the stability of the model by considering perturbation of the gravitational part (resp. baby skyrmion) with fixed matter fields (resp. gravitational background). Our results indicate that the perturbation equations do not admit localized solutions for certain type of perturbation. The stability analysis can be alternatively seen as leading to a particle spectrum; we give mass estimations for the baby-Skyrme perturbation and for the graviton.

11.530556

12.211569

10.967306

11.123052

12.485948

10.962114

12.416833

10.243999

11.765307

10.887169

11.452384

11.466283

10.959517

11.143477

11.318408

11.3532

11.238495

11.220118

11.319445

10.801955

11.036221

hep-th/0305163

Tom Banks

T.Banks (SCIPP-U.C. Santa Cruz, Runhetc-Rutgers U.)

SUSY and the Holographic Screens

null

SCIPP-03/05, RUNHETC-2003-15

hep-th gr-qc

null

The Cartan-Penrose (CP) equation is interpreted as a connection between a spinor at a point in spacetime, and a pair of holographic screens on which the information at that point may be projected. Local SUSY is thus given a physical interpretation in terms of the ambiguity of the choice of holographic screen implicit in the work of Bousso. The classical CP equation is conformally invariant, but quantization introduces metrical information via the B(ekenstein)-H(awking)-F(ischler)-S(usskind)-B(ousso) connection between area and entropy. A piece of the classical projective invariance survives as the $(-1)^F$ operation of Fermi statistics. I expand on a previously discussed formulation of quantum cosmology, using the connection between SUSY and screens.

[ { "created": "Mon, 19 May 2003 18:14:57 GMT", "version": "v1" } ]

2007-05-23

[ [ "Banks", "T.", "", "SCIPP-U.C. Santa Cruz, Runhetc-Rutgers U." ] ]

The Cartan-Penrose (CP) equation is interpreted as a connection between a spinor at a point in spacetime, and a pair of holographic screens on which the information at that point may be projected. Local SUSY is thus given a physical interpretation in terms of the ambiguity of the choice of holographic screen implicit in the work of Bousso. The classical CP equation is conformally invariant, but quantization introduces metrical information via the B(ekenstein)-H(awking)-F(ischler)-S(usskind)-B(ousso) connection between area and entropy. A piece of the classical projective invariance survives as the $(-1)^F$ operation of Fermi statistics. I expand on a previously discussed formulation of quantum cosmology, using the connection between SUSY and screens.

15.239748

16.898123

15.927575

14.885257

14.054049

14.563502

15.135442

16.757429

16.041569

16.901972

14.438734

14.734205

14.368093

14.103354

13.978199

14.072439

13.939856

14.903315

14.631525

15.324902

14.171562

hep-th/0410158

Rong-Gen Cai

Rong-Gen Cai, Da-Wei Pang and Anzhong Wang

Born-Infeld Black Holes in (A)dS Spaces

Latex, 18 pages with 4 eps figures, v2: Revtex, 11 pages with 4 eps figures, to appear in PRD

Phys.Rev.D70:124034,2004

10.1103/PhysRevD.70.124034

null

hep-th gr-qc

null

We study some exact solutions in a $D(\ge4)$-dimensional Einstein-Born-Infeld theory with a cosmological constant. These solutions are asymptotically de Sitter or anti-de Sitter, depending on the sign of the cosmological constant. Black hole horizon and cosmological horizon in these spacetimes can be a positive, zero or negative constant curvature hypersurface. We discuss the thermodynamics associated with black hole horizon and cosmological horizon. In particular we find that for the Born-Infeld black holes with Ricci flat or hyperbolic horizon in AdS space, they are always thermodynamically stable, and that for the case with a positive constant curvature, there is a critical value for the Born-Infeld parameter, above which the black hole is also always thermodynamically stable, and below which a unstable black hole phase appears. In addition, we show that although the Born-Infeld electrodynamics is non-linear, both black hole horizon entropy and cosmological horizon entropy can be expressed in terms of the Cardy-Verlinde formula. We also find a factorized solution in the Einstein-Born-Infeld theory, which is a direct product of two constant curvature spaces: one is a two-dimensional de Sitter or anti-de Sitter space, the other is a ($D-2$)-dimensional positive, zero or negative constant curvature space.

[ { "created": "Thu, 14 Oct 2004 02:42:42 GMT", "version": "v1" }, { "created": "Wed, 8 Dec 2004 02:15:17 GMT", "version": "v2" } ]

2008-11-26

[ [ "Cai", "Rong-Gen", "" ], [ "Pang", "Da-Wei", "" ], [ "Wang", "Anzhong", "" ] ]

We study some exact solutions in a $D(\ge4)$-dimensional Einstein-Born-Infeld theory with a cosmological constant. These solutions are asymptotically de Sitter or anti-de Sitter, depending on the sign of the cosmological constant. Black hole horizon and cosmological horizon in these spacetimes can be a positive, zero or negative constant curvature hypersurface. We discuss the thermodynamics associated with black hole horizon and cosmological horizon. In particular we find that for the Born-Infeld black holes with Ricci flat or hyperbolic horizon in AdS space, they are always thermodynamically stable, and that for the case with a positive constant curvature, there is a critical value for the Born-Infeld parameter, above which the black hole is also always thermodynamically stable, and below which a unstable black hole phase appears. In addition, we show that although the Born-Infeld electrodynamics is non-linear, both black hole horizon entropy and cosmological horizon entropy can be expressed in terms of the Cardy-Verlinde formula. We also find a factorized solution in the Einstein-Born-Infeld theory, which is a direct product of two constant curvature spaces: one is a two-dimensional de Sitter or anti-de Sitter space, the other is a ($D-2$)-dimensional positive, zero or negative constant curvature space.

4.100624

4.032678

4.021363

3.811575

3.880681

3.96051

3.75239

3.701519

3.746573

4.069696

3.922739

3.936722

3.976012

3.842208

3.883087

3.987607

3.853262

3.77641

3.921782

3.982691

3.800357

0904.4869

Gregory Giecold

G. C. Giecold

Fermionic Schwinger-Keldysh Propagators from AdS/CFT

16 pages, 2 figures. v3: refs added, confusing typos fixed, note on sqrt(V,-U) and Dirac eqn added

JHEP 0910:057,2009

10.1088/1126-6708/2009/10/057

null

hep-th hep-ph

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

The Herzog and Son prescription for computing real-time Green functions for finite temperature gauge theories from their gravity dual is generalized to fermions. These notes explain how such an extension involves properties of spinors in a curved, complexified space-time.

[ { "created": "Thu, 30 Apr 2009 16:11:30 GMT", "version": "v1" }, { "created": "Fri, 1 May 2009 12:04:36 GMT", "version": "v2" }, { "created": "Wed, 6 May 2009 15:09:21 GMT", "version": "v3" }, { "created": "Thu, 25 Jun 2009 16:18:35 GMT", "version": "v4" } ]

2009-11-09

[ [ "Giecold", "G. C.", "" ] ]

The Herzog and Son prescription for computing real-time Green functions for finite temperature gauge theories from their gravity dual is generalized to fermions. These notes explain how such an extension involves properties of spinors in a curved, complexified space-time.

58.581409

22.002329

32.492256

19.774841

28.027533

19.343756

25.956879

24.471729

23.173779

38.708576

25.804836

24.450233

24.73262

22.750238

26.451796

26.076735

25.498522

22.433228

24.412745

22.722591

30.42687

2112.10658

Roman Mauch

Roman Mauch and Lorenzo Ruggeri

Index of the Transversally Elliptic Complex in Pestunization

26 pages + appendices; version to be published in J.Phys.A

null

10.1088/1751-8121/ac7921

null

hep-th math-ph math.MP

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

In this note we present a formula for the equivariant index of the cohomological complex obtained from localization of $\mathcal{N}=2$ SYM on simply-connected compact four-manifolds with a $T^2$-action. Knowledge of said index is essential to compute the perturbative part of the partition function for the theory. In the topologically twisted case, the complex is elliptic and its index can be computed in a standard way using the Atiyah-Bott localization formula. Recently, a framework for more general types of twisting, so-called cohomological twisting, was introduced for which the complex turns out to be only transversally elliptic. While the index of such a complex has been computed for some cases where the manifold can be lifted to a Sasakian $S^1$-fibration in five dimensions, a general four-dimensional treatment was still lacking. We provide a formal, purely four-dimensional treatment of the cohomological complex, showing that the Laplacian part can be globally split off while the remaining part can be trivialized uniquely in the group-direction. This ultimately produces a simple formula for the index applicable for any compact simply-connected four-manifold. Finally, the index formula is applied to examples on $S^4$, $\mathbb{CP}^2$ and $\mathbb{F}^1$. For the latter, we use the result to compute the perturbative partition function.

[ { "created": "Mon, 20 Dec 2021 16:34:22 GMT", "version": "v1" }, { "created": "Tue, 1 Mar 2022 16:50:15 GMT", "version": "v2" }, { "created": "Tue, 21 Jun 2022 13:55:22 GMT", "version": "v3" } ]

2022-09-20

[ [ "Mauch", "Roman", "" ], [ "Ruggeri", "Lorenzo", "" ] ]

In this note we present a formula for the equivariant index of the cohomological complex obtained from localization of $\mathcal{N}=2$ SYM on simply-connected compact four-manifolds with a $T^2$-action. Knowledge of said index is essential to compute the perturbative part of the partition function for the theory. In the topologically twisted case, the complex is elliptic and its index can be computed in a standard way using the Atiyah-Bott localization formula. Recently, a framework for more general types of twisting, so-called cohomological twisting, was introduced for which the complex turns out to be only transversally elliptic. While the index of such a complex has been computed for some cases where the manifold can be lifted to a Sasakian $S^1$-fibration in five dimensions, a general four-dimensional treatment was still lacking. We provide a formal, purely four-dimensional treatment of the cohomological complex, showing that the Laplacian part can be globally split off while the remaining part can be trivialized uniquely in the group-direction. This ultimately produces a simple formula for the index applicable for any compact simply-connected four-manifold. Finally, the index formula is applied to examples on $S^4$, $\mathbb{CP}^2$ and $\mathbb{F}^1$. For the latter, we use the result to compute the perturbative partition function.

8.09015

8.542033

9.070037

8.027071

8.261718

8.428038

8.468989

7.790736

7.903141

10.225511

7.591754

7.749442

8.157132

7.63076

7.831426

7.664203

7.662062

7.804834

7.733067

8.001289

7.563305

2211.07810

Paul Ryan

Andrea Cavagli\`a, Simon Ekhammar, Nikolay Gromov, Paul Ryan

Exploring the Quantum Spectral Curve for AdS${}_3$/CFT${}_2$

null

hep-th math-ph math.MP

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

Despite the rich and fruitful history of the integrability approach to string theory on the $AdS_3\times S^3\times T^4$ background, it has not been possible to extract many concrete predictions from integrability, except in a strict asymptotic regime of large quantum numbers, due to the severity of wrapping effects. The situation changed radically with two independent and identical proposals for the Quantum Spectral Curve (QSC) for this system in a background of pure Ramond-Ramond flux. This formulation is expected to capture all wrapping effects exactly and describe the full planar spectrum. Massless modes conjecturally manifest themselves in a new property of this QSC: the non-quadratic nature of the branch-cut singularities of the QSC Q-functions. This feature implies new technical challenges in solving the QSC equations as compared to the well-studied case of N=4 SYM. In this paper we resolve these difficulties and obtain the first ever predictions for generic unprotected string excitations. We explain how to extract a systematic expansion around the analogue of the weak 't Hooft coupling limit in N=4 SYM and also obtain high-precision numerical results. This concrete data and others obtainable from the QSC could help to identify the so-far mysterious dual CFT.

[ { "created": "Tue, 15 Nov 2022 00:32:39 GMT", "version": "v1" }, { "created": "Thu, 23 Feb 2023 08:04:11 GMT", "version": "v2" } ]

2023-02-24

[ [ "Cavaglià", "Andrea", "" ], [ "Ekhammar", "Simon", "" ], [ "Gromov", "Nikolay", "" ], [ "Ryan", "Paul", "" ] ]

Despite the rich and fruitful history of the integrability approach to string theory on the $AdS_3\times S^3\times T^4$ background, it has not been possible to extract many concrete predictions from integrability, except in a strict asymptotic regime of large quantum numbers, due to the severity of wrapping effects. The situation changed radically with two independent and identical proposals for the Quantum Spectral Curve (QSC) for this system in a background of pure Ramond-Ramond flux. This formulation is expected to capture all wrapping effects exactly and describe the full planar spectrum. Massless modes conjecturally manifest themselves in a new property of this QSC: the non-quadratic nature of the branch-cut singularities of the QSC Q-functions. This feature implies new technical challenges in solving the QSC equations as compared to the well-studied case of N=4 SYM. In this paper we resolve these difficulties and obtain the first ever predictions for generic unprotected string excitations. We explain how to extract a systematic expansion around the analogue of the weak 't Hooft coupling limit in N=4 SYM and also obtain high-precision numerical results. This concrete data and others obtainable from the QSC could help to identify the so-far mysterious dual CFT.

11.352546

10.529123

12.842155

9.981492

10.6312

10.569207

10.503123

10.24473

10.066009

12.920341

10.052202

10.633051

11.044926

10.290421

10.430151

10.506519

10.381498

10.564634

10.123475

10.757018

10.429578

2004.03779

Sinya Aoki

Sinya Aoki, Tetsuya Onogi, Shuichi Yokoyama

What does a quantum black hole look like?

15 pages, 4 figures. v2: 16 pages, 4 figures, comment on entropy and a reference added, a figure and discussion improved. v3: published version in PLB

null

10.1016/j.physletb.2021.136104

YITP-20-24, OU-HET-1044

hep-th gr-qc hep-lat hep-ph

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

We take a first step towards a holographic description of a black hole by means of a flow equation. We consider a free theory of multiple scalar fields at finite temperature and study its holographic geometry defined through a free flow of the scalar fields. We find that the holographic metric has the following properties: i) It is an asymptotic Anti-de Sitter (AdS) black brane metric with some unknown matter contribution. ii) It has no coordinate singularity and milder curvature singularity. iii) Its time component decays exponentially at a certain AdS radial slice. We find that the matter spreads all over the space, which we speculate to be due to thermal excitation of infinitely many massless higher spin fields. We conjecture that the above three are generic features of a black hole holographically realized by the flow equation method.

[ { "created": "Wed, 8 Apr 2020 02:42:57 GMT", "version": "v1" }, { "created": "Tue, 16 Jun 2020 06:52:42 GMT", "version": "v2" }, { "created": "Tue, 26 Jan 2021 08:13:38 GMT", "version": "v3" } ]

2021-02-03

[ [ "Aoki", "Sinya", "" ], [ "Onogi", "Tetsuya", "" ], [ "Yokoyama", "Shuichi", "" ] ]

We take a first step towards a holographic description of a black hole by means of a flow equation. We consider a free theory of multiple scalar fields at finite temperature and study its holographic geometry defined through a free flow of the scalar fields. We find that the holographic metric has the following properties: i) It is an asymptotic Anti-de Sitter (AdS) black brane metric with some unknown matter contribution. ii) It has no coordinate singularity and milder curvature singularity. iii) Its time component decays exponentially at a certain AdS radial slice. We find that the matter spreads all over the space, which we speculate to be due to thermal excitation of infinitely many massless higher spin fields. We conjecture that the above three are generic features of a black hole holographically realized by the flow equation method.

10.273867

10.167544

10.417509

10.034497

9.90061

10.129574

10.389803

9.8915

10.120944

10.796773

9.328248

9.72594

10.291331

9.812516

10.121366

9.660465

9.711825

9.830734

10.094028

10.137633

9.390375

hep-th/0201245

Giovanni Amelino-Camelia

Giovanni Amelino-Camelia, Dario Benedetti, Francesco D'Andrea, Andrea Procaccini

Comparison of relativity theories with observer-independent scales of both velocity and length/mass

21 pages, LaTex. v2: Andrea Procaccini (contributing some results from hia Laurea thesis) is added to the list of authors and the paper provides further elements of comparison between DSR1 and DSR2, including the observation that both lead to the same formula for the dependence of momentum on rapidity

Class.Quant.Grav.20:5353-5370,2003

10.1088/0264-9381/20/24/008

null

hep-th gr-qc

null

We consider the two most studied proposals of relativity theories with observer-independent scales of both velocity and length/mass: the one discussed by Amelino-Camelia as illustrative example for the original proposal (gr-qc/0012051) of theories with two relativistic invariants, and an alternative more recently proposed by Magueijo and Smolin (hep-th/0112090). We show that these two relativistic theories are much more closely connected than it would appear on the basis of a naive analysis of their original formulations. In particular, in spite of adopting a rather different formal description of the deformed boost generators, they end up assigning the same dependence of momentum on rapidity, which can be described as the core feature of these relativistic theories. We show that this observation can be used to clarify the concepts of particle mass, particle velocity, and energy-momentum-conservation rules in these theories with two relativistic invariants.

[ { "created": "Wed, 30 Jan 2002 07:10:32 GMT", "version": "v1" }, { "created": "Thu, 23 Oct 2003 13:44:59 GMT", "version": "v2" } ]

2011-09-13

[ [ "Amelino-Camelia", "Giovanni", "" ], [ "Benedetti", "Dario", "" ], [ "D'Andrea", "Francesco", "" ], [ "Procaccini", "Andrea", "" ] ]

We consider the two most studied proposals of relativity theories with observer-independent scales of both velocity and length/mass: the one discussed by Amelino-Camelia as illustrative example for the original proposal (gr-qc/0012051) of theories with two relativistic invariants, and an alternative more recently proposed by Magueijo and Smolin (hep-th/0112090). We show that these two relativistic theories are much more closely connected than it would appear on the basis of a naive analysis of their original formulations. In particular, in spite of adopting a rather different formal description of the deformed boost generators, they end up assigning the same dependence of momentum on rapidity, which can be described as the core feature of these relativistic theories. We show that this observation can be used to clarify the concepts of particle mass, particle velocity, and energy-momentum-conservation rules in these theories with two relativistic invariants.

9.260837

10.207904

10.009422

9.149196

9.65325

10.156579

10.9776

9.095043

9.868195

10.22414

9.684144

9.440691

9.436776

9.295413

9.562938

9.725121

9.708862

9.510075

9.04374

9.047428

9.283051

1912.10688

Andrea Santi

Remarks on highly supersymmetric backgrounds of 11-dimensional supergravity

23 pages (v2: a couple of typos fixed, to appear on the Proceedings of the Abel Symposium 2019 "Geometry, Lie Theory and Applications")

Proceedings of the Abel Symposium 2019 Geometry, Lie Theory and Applications, Springer series Abel Symposia (2022), 253-277

null

hep-th math.DG math.RT

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

This note focuses on some properties and uses of filtered deformations in the context of D=11 supergravity. We define the concept of abstract symbol and give a strong version of the Reconstruction Theorem, namely a bijective correspondence from the space of highly supersymmetric supergravity backgrounds to the space of abstract symbols. We propose a general strategy to construct highly supersymmetric supergravity backgrounds and present an example in detail, which includes the computation of the ideal generated by the Killing spinors of two known pp-wave backgrounds with N=24 supersymmetry. Finally, we give an alternative proof, based on the isotropy algebra of a supergravity background, of a classical supersymmetry gap result of Gran, Gutowski, Papadopoulos and Roest.

[ { "created": "Mon, 23 Dec 2019 08:53:15 GMT", "version": "v1" }, { "created": "Mon, 22 Jun 2020 09:46:05 GMT", "version": "v2" } ]

2022-08-23

[ [ "Santi", "Andrea", "" ] ]

This note focuses on some properties and uses of filtered deformations in the context of D=11 supergravity. We define the concept of abstract symbol and give a strong version of the Reconstruction Theorem, namely a bijective correspondence from the space of highly supersymmetric supergravity backgrounds to the space of abstract symbols. We propose a general strategy to construct highly supersymmetric supergravity backgrounds and present an example in detail, which includes the computation of the ideal generated by the Killing spinors of two known pp-wave backgrounds with N=24 supersymmetry. Finally, we give an alternative proof, based on the isotropy algebra of a supergravity background, of a classical supersymmetry gap result of Gran, Gutowski, Papadopoulos and Roest.

11.424695

11.798592

14.552218

11.78089

13.151385

12.980368

12.454065

12.157593

12.342028

15.175159

11.056463

10.728416

11.968422

10.976645

11.810587

11.554361

11.14653

10.934191

10.680712

12.022381

11.331015

hep-th/0602071

Steven Thomas

Steven Thomas and John Ward

Electrified Fuzzy Spheres and Funnels in Curved Backgrounds

38 pages, Latex; references added

JHEP 0611:019,2006

10.1088/1126-6708/2006/11/019

QMUL-PH-06-02

hep-th

null

We use the non-Abelian DBI action to study the dynamics of $N$ coincident $Dp$-branes in an arbitrary curved background, with the presence of a homogenous world-volume electric field. The solutions are natural extensions of those without electric fields, and imply that the spheres will collapse toward zero size. We then go on to consider the $D1-D3$ intersection in a curved background and find various dualities and automorphisms of the general equations of motion. It is possible to map the dynamical equation of motion to the static one via Wick rotation, however the additional spatial dependence of the metric prevents this mapping from being invertible. Instead we find that a double Wick rotation leaves the static equation invariant. This is very different from the behaviour in Minkowski space. We go on to construct the most general static fuzzy funnel solutions for an arbitrary metric either by solving the static equations of motion, or by finding configurations which minimise the energy. As a consistency check we construct the Abelian $D3$-brane world-volume theory in the same generic background and find solutions consistent with energy minimisation. In the $NS$5-brane background we find time dependent solutions to the equations of motion, representing a time dependent fuzzy funnel. These solutions match those obtained from the $D$-string picture to leading order suggesting that the action in the large $N$ limit does not need corrections. We conclude by generalising our solutions to higher dimensional fuzzy funnels.

[ { "created": "Tue, 7 Feb 2006 17:10:20 GMT", "version": "v1" }, { "created": "Tue, 14 Feb 2006 14:54:36 GMT", "version": "v2" } ]

2010-02-03

[ [ "Thomas", "Steven", "" ], [ "Ward", "John", "" ] ]

We use the non-Abelian DBI action to study the dynamics of $N$ coincident $Dp$-branes in an arbitrary curved background, with the presence of a homogenous world-volume electric field. The solutions are natural extensions of those without electric fields, and imply that the spheres will collapse toward zero size. We then go on to consider the $D1-D3$ intersection in a curved background and find various dualities and automorphisms of the general equations of motion. It is possible to map the dynamical equation of motion to the static one via Wick rotation, however the additional spatial dependence of the metric prevents this mapping from being invertible. Instead we find that a double Wick rotation leaves the static equation invariant. This is very different from the behaviour in Minkowski space. We go on to construct the most general static fuzzy funnel solutions for an arbitrary metric either by solving the static equations of motion, or by finding configurations which minimise the energy. As a consistency check we construct the Abelian $D3$-brane world-volume theory in the same generic background and find solutions consistent with energy minimisation. In the $NS$5-brane background we find time dependent solutions to the equations of motion, representing a time dependent fuzzy funnel. These solutions match those obtained from the $D$-string picture to leading order suggesting that the action in the large $N$ limit does not need corrections. We conclude by generalising our solutions to higher dimensional fuzzy funnels.

10.352315

10.098284

11.21981

10.021983

10.289649

10.994458

10.496137

9.752882

9.991392

11.316555

9.704231

10.068966

10.687322

10.133545

10.207325

10.013523

10.030099

9.983358

10.140433

10.306816

9.932907

0902.2700

Ralf Hofmann

Low-frequency line temperatures of the CMB

v2: 9 pages, 1 figure, extended discussion of why prsent photon mass bounds are not in contradiction to a low-temperature, low-frequency Meissner mass responsible for UEGE, matches journal version

Annalen Phys.18:634-639,2009

10.1002/andp.200910361

null

hep-th

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

Based on SU(2) Yang-Mills thermodynamics we interprete Aracde2's and the results of earlier radio-surveys on low-frequency CMB line temperatures as a phase-boundary effect. We explain the excess at low frequencies by evanescent, nonthermal photon fields of the CMB whose intensity is nulled by that of Planck distributed calibrator photons. The CMB baseline temperature thus is identified with the critical temperature of the deconfining-preconfining transition.

[ { "created": "Mon, 16 Feb 2009 14:34:59 GMT", "version": "v1" }, { "created": "Sat, 11 Jul 2009 12:38:39 GMT", "version": "v2" } ]

2009-12-04

[ [ "Hofmann", "Ralf", "" ] ]

Based on SU(2) Yang-Mills thermodynamics we interprete Aracde2's and the results of earlier radio-surveys on low-frequency CMB line temperatures as a phase-boundary effect. We explain the excess at low frequencies by evanescent, nonthermal photon fields of the CMB whose intensity is nulled by that of Planck distributed calibrator photons. The CMB baseline temperature thus is identified with the critical temperature of the deconfining-preconfining transition.

43.554554

53.211582

43.416286

41.912727

46.360428

46.506329

46.388092

54.815685

43.225719

47.681976

40.785213

41.927086

45.466187

43.602036

46.977924

44.361752

41.30616

42.901596

42.55167

42.263172

42.299732

1005.5051

Petya Nedkova

Petya G. Nedkova, Stoytcho S. Yazadjiev

Rotating black ring on Kaluza-Klein bubbles

26 pages, 4 figures; v2: a new limit case added; references and comments added

Phys.Rev.D82:044010,2010

10.1103/PhysRevD.82.044010

null

hep-th

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

We construct a new exact solution to the 5D Einstein equations describing rotating black ring with a single angular momentum surrounded by two Kaluza-Klein bubbles. The solution is generated by 2-soliton B\"{a}cklund transformation. Its physical properties are computed and analyzed. The corresponding static solution, the rotating black string and the boosted black string are reproduced as limits.

[ { "created": "Thu, 27 May 2010 12:47:35 GMT", "version": "v1" }, { "created": "Tue, 8 Jun 2010 15:53:29 GMT", "version": "v2" } ]

2015-03-17

[ [ "Nedkova", "Petya G.", "" ], [ "Yazadjiev", "Stoytcho S.", "" ] ]

We construct a new exact solution to the 5D Einstein equations describing rotating black ring with a single angular momentum surrounded by two Kaluza-Klein bubbles. The solution is generated by 2-soliton B\"{a}cklund transformation. Its physical properties are computed and analyzed. The corresponding static solution, the rotating black string and the boosted black string are reproduced as limits.

10.950613

8.249866

8.33144

8.054705

9.132867

8.006896

8.653158

8.75813

8.052649

9.8283

9.537626

9.620576

9.735465

9.570585

9.434974

9.686625

9.733413

9.062637

9.36217

9.6342

9.609963

1908.10996

Raghu Mahajan

Ahmed Almheiri, Raghu Mahajan, Juan Maldacena, Ying Zhao

The Page curve of Hawking radiation from semiclassical geometry

21 pages, 12 figures

null

10.1007/JHEP03(2020)149

null

hep-th gr-qc

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

We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional theory. Using this we compute the entropy of Hawking radiation and argue that it follows the Page curve, as suggested by recent computations of the entropy and entanglement wedges for old black holes. The higher-dimensional geometry connects the radiation to the black hole interior in the spirit of ER=EPR. The black hole interior then becomes part of the entanglement wedge of the radiation. Inspired by this, we propose a new rule for computing the entropy of quantum systems entangled with gravitational systems which involves searching for "islands" in determining the entanglement wedge.

[ { "created": "Thu, 29 Aug 2019 00:37:46 GMT", "version": "v1" }, { "created": "Mon, 4 Nov 2019 16:40:19 GMT", "version": "v2" } ]

2020-04-22

[ [ "Almheiri", "Ahmed", "" ], [ "Mahajan", "Raghu", "" ], [ "Maldacena", "Juan", "" ], [ "Zhao", "Ying", "" ] ]

We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional theory. Using this we compute the entropy of Hawking radiation and argue that it follows the Page curve, as suggested by recent computations of the entropy and entanglement wedges for old black holes. The higher-dimensional geometry connects the radiation to the black hole interior in the spirit of ER=EPR. The black hole interior then becomes part of the entanglement wedge of the radiation. Inspired by this, we propose a new rule for computing the entropy of quantum systems entangled with gravitational systems which involves searching for "islands" in determining the entanglement wedge.

9.500908

8.778879

10.75635

8.445273

9.009945

9.082947

8.441624

9.832129

8.865911

11.821576

8.591768

9.117264

9.824568

9.014436

8.979123

8.786529

8.696944

8.931437

8.949944

9.806376

8.638441

1503.07584

Alexi Morin-Duchesne

Alexi Morin-Duchesne, Jorgen Rasmussen, David Ridout

Boundary algebras and Kac modules for logarithmic minimal models

71 pages. v3: version published in Nucl. Phys. B

null

10.1016/j.nuclphysb.2015.08.017

null

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

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

Virasoro Kac modules were initially introduced indirectly as representations whose characters arise in the continuum scaling limits of certain transfer matrices in logarithmic minimal models, described using Temperley-Lieb algebras. The lattice transfer operators include seams on the boundary that use Wenzl-Jones projectors. If the projectors are singular, the original prescription is to select a subspace of the Temperley-Lieb modules on which the action of the transfer operators is non-singular. However, this prescription does not, in general, yield representations of the Temperley-Lieb algebras and the Virasoro Kac modules have remained largely unidentified. Here, we introduce the appropriate algebraic framework for the lattice analysis as a quotient of the one-boundary Temperley-Lieb algebra. The corresponding standard modules are introduced and examined using invariant bilinear forms and their Gram determinants. The structures of the Virasoro Kac modules are inferred from these results and are found to be given by finitely generated submodules of Feigin-Fuchs modules. Additional evidence for this identification is obtained by comparing the formalism of lattice fusion with the fusion rules of the Virasoro Kac modules. These are obtained, at the character level, in complete generality by applying a Verlinde-like formula and, at the module level, in many explicit examples by applying the Nahm-Gaberdiel-Kausch fusion algorithm.

[ { "created": "Wed, 25 Mar 2015 23:55:03 GMT", "version": "v1" }, { "created": "Wed, 8 Apr 2015 10:41:23 GMT", "version": "v2" }, { "created": "Wed, 16 Sep 2015 11:05:30 GMT", "version": "v3" } ]

2015-12-09

[ [ "Morin-Duchesne", "Alexi", "" ], [ "Rasmussen", "Jorgen", "" ], [ "Ridout", "David", "" ] ]

Virasoro Kac modules were initially introduced indirectly as representations whose characters arise in the continuum scaling limits of certain transfer matrices in logarithmic minimal models, described using Temperley-Lieb algebras. The lattice transfer operators include seams on the boundary that use Wenzl-Jones projectors. If the projectors are singular, the original prescription is to select a subspace of the Temperley-Lieb modules on which the action of the transfer operators is non-singular. However, this prescription does not, in general, yield representations of the Temperley-Lieb algebras and the Virasoro Kac modules have remained largely unidentified. Here, we introduce the appropriate algebraic framework for the lattice analysis as a quotient of the one-boundary Temperley-Lieb algebra. The corresponding standard modules are introduced and examined using invariant bilinear forms and their Gram determinants. The structures of the Virasoro Kac modules are inferred from these results and are found to be given by finitely generated submodules of Feigin-Fuchs modules. Additional evidence for this identification is obtained by comparing the formalism of lattice fusion with the fusion rules of the Virasoro Kac modules. These are obtained, at the character level, in complete generality by applying a Verlinde-like formula and, at the module level, in many explicit examples by applying the Nahm-Gaberdiel-Kausch fusion algorithm.

9.156009

10.047727

11.063614

9.311737

10.398125

9.019567

9.878218

9.41647

9.634392

12.423934

9.329926

9.419505

9.508615

8.892499

9.47817

9.500962

9.318066

9.039078

9.266294

9.722531

9.015439

hep-th/0105053

Kazunori Takenaga

K. Takenaga (Dublin Inst.)

Dynamics of Nonintegrable Phases in Softly Broken Supersymmetric Gauge Theory with Massless Adjoint Matter

19 pages, 2 figures, corrected some typos

Phys.Rev. D64 (2001) 066001

10.1103/PhysRevD.64.066001

DIAS-STP-01-05

hep-th

null

We study SU(N) supersymmetric Yang-Mills theory with massless adjoint matter defined on $M^3\otimes S^1$. The SU(N) gauge symmetry is broken maximally to $U(1)^{N-1}$, independent of the number of flavor and the boundary conditions of the fields associated with the Scherk-Schwarz mechanism of supersymmetry breaking. The mass of the Higgs scalar is generated through quantum corrections in the extra dimensions. The quantum correction can become manifest by a finite Higgs boson mass at low energies even in the limit of small extra dimensions thanks to the supersymmetry breaking parameter of the Scherk-Schwarz mechanism.

[ { "created": "Sun, 6 May 2001 14:15:48 GMT", "version": "v1" }, { "created": "Wed, 4 Jul 2001 14:10:57 GMT", "version": "v2" }, { "created": "Sun, 15 Jul 2001 11:25:12 GMT", "version": "v3" }, { "created": "Thu, 9 Aug 2001 12:49:44 GMT", "version": "v4" } ]

2009-11-07

[ [ "Takenaga", "K.", "", "Dublin Inst." ] ]

We study SU(N) supersymmetric Yang-Mills theory with massless adjoint matter defined on $M^3\otimes S^1$. The SU(N) gauge symmetry is broken maximally to $U(1)^{N-1}$, independent of the number of flavor and the boundary conditions of the fields associated with the Scherk-Schwarz mechanism of supersymmetry breaking. The mass of the Higgs scalar is generated through quantum corrections in the extra dimensions. The quantum correction can become manifest by a finite Higgs boson mass at low energies even in the limit of small extra dimensions thanks to the supersymmetry breaking parameter of the Scherk-Schwarz mechanism.

8.037188

7.385998

7.486283

7.071898

7.08067

7.262616

7.465643

6.606925

7.182524

7.942414

7.332223

7.149261

7.184517

7.06334

7.173899

7.267325

7.380588

7.408683

7.158957

7.626561

7.4223

0803.3085

Eva Silverstein

Eva Silverstein and Alexander Westphal

Monodromy in the CMB: Gravity Waves and String Inflation

43 pages, latex. 4 figures

Phys.Rev.D78:106003,2008

10.1103/PhysRevD.78.106003

SU-ITP-08/07, SLAC-PUB-13183

hep-th astro-ph hep-ph

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

We present a simple mechanism for obtaining large-field inflation, and hence a gravitational wave signature, from string theory compactified on twisted tori. For Nil manifolds, we obtain a leading inflationary potential proportional to phi^(2/3) in terms of the canonically normalized field phi, yielding predictions for the tilt of the power spectrum and the tensor-to-scalar ratio, $n_s\approx 0.98$ and $r\approx 0.04$ with 60 e-foldings of inflation; we note also the possibility of a variant with a candidate inflaton potential proportional to phi^(2/5). The basic mechanism involved in extending the field range -- monodromy in D-branes as they move in circles on the manifold -- arises in a more general class of compactifications, though our methods for controlling the corrections to the slow-roll parameters require additional symmetries.

[ { "created": "Fri, 21 Mar 2008 16:26:35 GMT", "version": "v1" }, { "created": "Sun, 23 Mar 2008 20:25:21 GMT", "version": "v2" } ]

2008-11-26

[ [ "Silverstein", "Eva", "" ], [ "Westphal", "Alexander", "" ] ]

We present a simple mechanism for obtaining large-field inflation, and hence a gravitational wave signature, from string theory compactified on twisted tori. For Nil manifolds, we obtain a leading inflationary potential proportional to phi^(2/3) in terms of the canonically normalized field phi, yielding predictions for the tilt of the power spectrum and the tensor-to-scalar ratio, $n_s\approx 0.98$ and $r\approx 0.04$ with 60 e-foldings of inflation; we note also the possibility of a variant with a candidate inflaton potential proportional to phi^(2/5). The basic mechanism involved in extending the field range -- monodromy in D-branes as they move in circles on the manifold -- arises in a more general class of compactifications, though our methods for controlling the corrections to the slow-roll parameters require additional symmetries.

9.256026

9.707147

10.838653

9.343432

9.039772

9.86464

10.175128

9.186009

9.776843

11.086222

9.474704

9.671908

9.683151

9.054754

9.398208

9.037317

9.512597

9.107794

9.094929

9.287471

8.752308

0811.0218

Sergei Kuzenko

Sergei M. Kuzenko, Joseph Novak

Chiral formulation for hyperkaehler sigma-models on cotangent bundles of symmetric spaces

11 pages, LaTeX, no figues

JHEP 0812:072,2008

10.1088/1126-6708/2008/12/072

null

hep-th

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

Starting with the projective-superspace off-shell formulation for four-dimensional N = 2 supersymmetric sigma-models on cotangent bundles of arbitrary Hermitian symmetric spaces, their on-shell description in terms of N = 1 chiral superfields is developed. In particular, we derive a universal representation for the hyperkaehler potential in terms of the curvature of the symmetric base space. Within the tangent-bundle formulation for such sigma-models, completed recently in arXiv:0709.2633 and realized in terms of N = 1 chiral and complex linear superfields, we give a new universal formula for the superspace Lagrangian. A closed form expression is also derived for the Kaehler potential of an arbitrary Hermitian symmetric space in Kaehler normal coordinates.

[ { "created": "Mon, 3 Nov 2008 11:32:10 GMT", "version": "v1" } ]

2009-02-10

[ [ "Kuzenko", "Sergei M.", "" ], [ "Novak", "Joseph", "" ] ]

Starting with the projective-superspace off-shell formulation for four-dimensional N = 2 supersymmetric sigma-models on cotangent bundles of arbitrary Hermitian symmetric spaces, their on-shell description in terms of N = 1 chiral superfields is developed. In particular, we derive a universal representation for the hyperkaehler potential in terms of the curvature of the symmetric base space. Within the tangent-bundle formulation for such sigma-models, completed recently in arXiv:0709.2633 and realized in terms of N = 1 chiral and complex linear superfields, we give a new universal formula for the superspace Lagrangian. A closed form expression is also derived for the Kaehler potential of an arbitrary Hermitian symmetric space in Kaehler normal coordinates.

8.338181

6.557458

8.601588

6.983137

6.203872

7.0637

7.372757

6.747102

6.814859

10.187712

6.890465

7.424452

8.216379

7.540696

7.593899

7.814675

7.686106

7.326442

7.501934

8.583103

7.505052

2111.01106

Sylvain Ribault

Linnea Grans-Samuelsson, Rongvoram Nivesvivat, Jesper Lykke Jacobsen, Sylvain Ribault, Hubert Saleur

Global symmetry and conformal bootstrap in the two-dimensional $O(n)$ model

49 pages, v3: improved explanations on a few points

SciPost Phys. 12, 147 (2022)

10.21468/SciPostPhys.12.5.147

null

hep-th math-ph math.MP

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

We define the two-dimensional $O(n)$ conformal field theory as a theory that includes the critical dilute and dense $O(n)$ models as special cases, and depends analytically on the central charge. For generic values of $n\in\mathbb{C}$, we write a conjecture for the decomposition of the spectrum into irreducible representations of $O(n)$. We then explain how to numerically bootstrap arbitrary four-point functions of primary fields in the presence of the global $O(n)$ symmetry. We determine the needed conformal blocks, including logarithmic blocks, including in singular cases. We argue that $O(n)$ representation theory provides upper bounds on the number of solutions of crossing symmetry for any given four-point function. We study some of the simplest correlation functions in detail, and determine a few fusion rules. We count the solutions of crossing symmetry for the $30$ simplest four-point functions. The number of solutions varies from $2$ to $6$, and saturates the bound from $O(n)$ representation theory in $21$ out of $30$ cases.

[ { "created": "Mon, 1 Nov 2021 17:20:53 GMT", "version": "v1" }, { "created": "Tue, 18 Jan 2022 09:26:45 GMT", "version": "v2" }, { "created": "Tue, 22 Mar 2022 13:10:21 GMT", "version": "v3" } ]

2022-05-11

[ [ "Grans-Samuelsson", "Linnea", "" ], [ "Nivesvivat", "Rongvoram", "" ], [ "Jacobsen", "Jesper Lykke", "" ], [ "Ribault", "Sylvain", "" ], [ "Saleur", "Hubert", "" ] ]

We define the two-dimensional $O(n)$ conformal field theory as a theory that includes the critical dilute and dense $O(n)$ models as special cases, and depends analytically on the central charge. For generic values of $n\in\mathbb{C}$, we write a conjecture for the decomposition of the spectrum into irreducible representations of $O(n)$. We then explain how to numerically bootstrap arbitrary four-point functions of primary fields in the presence of the global $O(n)$ symmetry. We determine the needed conformal blocks, including logarithmic blocks, including in singular cases. We argue that $O(n)$ representation theory provides upper bounds on the number of solutions of crossing symmetry for any given four-point function. We study some of the simplest correlation functions in detail, and determine a few fusion rules. We count the solutions of crossing symmetry for the $30$ simplest four-point functions. The number of solutions varies from $2$ to $6$, and saturates the bound from $O(n)$ representation theory in $21$ out of $30$ cases.

7.129375

7.26458

8.188514

7.341918

7.039321

6.975529

7.549293

6.854977

7.106276

8.690919

7.154447

6.85009

7.787226

6.948553

7.1594

7.247694

7.092764

7.04087

6.900727

7.873507

7.079686

1107.3139

Marco Stefano Bianchi

Marco S. Bianchi, Matias Leoni, Andrea Mauri, Silvia Penati and Alberto Santambrogio

Scattering Amplitudes/Wilson Loop Duality In ABJM Theory

1+16 pages, 2 figures, minor modifications and references added

null

10.1007/JHEP01(2012)056

null

hep-th

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

For N=6 superconformal Chern-Simons-matter theories in three dimensions, by a direct superspace Feynman diagram approach, we compute the two-loop four-point scattering amplitude with external chiral matter fields. We find that the result is in perfect agreement with the two-loop result for a light-like four-polygon Wilson loop. This is a nontrivial evidence of the scattering amplitudes/Wilson loop duality in three dimensions. Moreover, both the IR divergent and the finite parts of our two-loop result agree with a BDS-like ansatz for all-loop amplitudes where the scaling function is given in terms of the N=4 SYM one, according to the conjectured Bethe equations for ABJM. Consequently, we are able to make a prediction for the four-loop correction to the amplitude. We also discuss the dual conformal invariance of the two-loop result.

[ { "created": "Fri, 15 Jul 2011 19:50:03 GMT", "version": "v1" }, { "created": "Wed, 5 Oct 2011 13:36:07 GMT", "version": "v2" } ]

2015-05-28

[ [ "Bianchi", "Marco S.", "" ], [ "Leoni", "Matias", "" ], [ "Mauri", "Andrea", "" ], [ "Penati", "Silvia", "" ], [ "Santambrogio", "Alberto", "" ] ]

For N=6 superconformal Chern-Simons-matter theories in three dimensions, by a direct superspace Feynman diagram approach, we compute the two-loop four-point scattering amplitude with external chiral matter fields. We find that the result is in perfect agreement with the two-loop result for a light-like four-polygon Wilson loop. This is a nontrivial evidence of the scattering amplitudes/Wilson loop duality in three dimensions. Moreover, both the IR divergent and the finite parts of our two-loop result agree with a BDS-like ansatz for all-loop amplitudes where the scaling function is given in terms of the N=4 SYM one, according to the conjectured Bethe equations for ABJM. Consequently, we are able to make a prediction for the four-loop correction to the amplitude. We also discuss the dual conformal invariance of the two-loop result.

7.30614

7.027937

8.547862

6.784501

6.225804

6.458105

6.229785

6.269108

6.535965

9.198255

6.685674

6.907289

7.08091

6.869719

6.819813

6.926672

6.949391

6.813028

6.816132

7.031831

6.638257

2012.00030

Stephen G. Naculich

All-loop-orders relation between Regge limits of ${\cal N}=4$ SYM and ${\cal N}=8$ supergravity four-point amplitudes

34 pages; v2: clarification added, minor typos corrected, published version

null

10.1007/JHEP02(2021)044

BOW-PH-169

hep-th hep-ph

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

We examine in detail the structure of the Regge limit of the (nonplanar) ${\cal N}=4$ SYM four-point amplitude. We begin by developing a basis of color factors $C_{ik}$ suitable for the Regge limit of the amplitude at any loop order, and then calculate explicitly the coefficients of the amplitude in that basis through three-loop order using the Regge limit of the full amplitude previously calculated by Henn and Mistlberger. We compute these coefficients exactly at one loop, through ${\cal O} (\epsilon^2)$ at two loops, and through ${\cal O} (\epsilon^0)$ at three loops, verifying that the IR-divergent pieces are consistent with (the Regge limit of) the expected infrared divergence structure, including a contribution from the three-loop correction to the dipole formula. We also verify consistency with the IR-finite NLL and NNLL predictions of Caron-Huot et al. Finally we use these results to motivate the conjecture of an all-orders relation between one of the coefficients and the Regge limit of the ${\cal N} =8$ supergravity four-point amplitude.

[ { "created": "Mon, 30 Nov 2020 19:00:08 GMT", "version": "v1" }, { "created": "Wed, 3 Feb 2021 21:31:27 GMT", "version": "v2" } ]

2021-02-24

[ [ "Naculich", "Stephen G.", "" ] ]

We examine in detail the structure of the Regge limit of the (nonplanar) ${\cal N}=4$ SYM four-point amplitude. We begin by developing a basis of color factors $C_{ik}$ suitable for the Regge limit of the amplitude at any loop order, and then calculate explicitly the coefficients of the amplitude in that basis through three-loop order using the Regge limit of the full amplitude previously calculated by Henn and Mistlberger. We compute these coefficients exactly at one loop, through ${\cal O} (\epsilon^2)$ at two loops, and through ${\cal O} (\epsilon^0)$ at three loops, verifying that the IR-divergent pieces are consistent with (the Regge limit of) the expected infrared divergence structure, including a contribution from the three-loop correction to the dipole formula. We also verify consistency with the IR-finite NLL and NNLL predictions of Caron-Huot et al. Finally we use these results to motivate the conjecture of an all-orders relation between one of the coefficients and the Regge limit of the ${\cal N} =8$ supergravity four-point amplitude.

6.085396

6.978952

6.588517

6.264813

6.505142

6.962136

6.779428

6.921292

6.309198

6.734338

6.344419

5.956608

5.912491

5.900009

6.083227

5.943329

6.318236

6.002593

5.868961

5.893189

6.167859

1612.03915

Adam Bzowski

Dimensional renormalization in AdS/CFT

60 pages, 2 figures

null

hep-th

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

In this paper we present a dimensional renormalization scheme suitable for holographic theories. We use the bulk physics in the supergravity limit as a definition of the dual CFT. Similar to the perturbative quantization of a QFT, one is free to choose a convenient renormalization scheme, and the holographic renormalization method is only one such choice. We show how the bulk theory can be rendered finite with a renormalization scheme that corresponds to dimensional renormalization in the dual CFT. The method does not require any cut-offs and does not introduce any dimensionful parameters. It delivers a one-to-one map between bulk and boundary counterterms and leads to an exact and unambiguous identification of field theoretical objects in terms of bulk data. In particular, we resolve long standing issues regarding the identification of the renormalization scale and beta functions on both sides of the AdS/CFT correspondence. Furthermore, the method is considerably simpler than standard holographic renormalization on a practical level when evaluating correlation functions.

[ { "created": "Mon, 12 Dec 2016 21:00:04 GMT", "version": "v1" } ]

2016-12-14

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

In this paper we present a dimensional renormalization scheme suitable for holographic theories. We use the bulk physics in the supergravity limit as a definition of the dual CFT. Similar to the perturbative quantization of a QFT, one is free to choose a convenient renormalization scheme, and the holographic renormalization method is only one such choice. We show how the bulk theory can be rendered finite with a renormalization scheme that corresponds to dimensional renormalization in the dual CFT. The method does not require any cut-offs and does not introduce any dimensionful parameters. It delivers a one-to-one map between bulk and boundary counterterms and leads to an exact and unambiguous identification of field theoretical objects in terms of bulk data. In particular, we resolve long standing issues regarding the identification of the renormalization scale and beta functions on both sides of the AdS/CFT correspondence. Furthermore, the method is considerably simpler than standard holographic renormalization on a practical level when evaluating correlation functions.

8.247924

8.429713

8.995993

8.092306

8.871124

8.281929

8.203169

8.475531

7.572964

9.222339

8.089828

7.998616

8.259412

7.95055

7.76616

8.147341

7.820302

8.170736

7.772273

8.068342

7.889874

1012.2554

Ali Imaanpur

A. Imaanpur and M. Naghdi

Dual Instantons in Anti-membranes Theory

14 pages, minor changes, added refs

Phys.Rev.D83:085025,2011

10.1103/PhysRevD.83.085025

null

hep-th

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

We introduce two ansatzs for the 3-form potential of Euclidean 11d supergravity on skew-whiffed AdS_4 X S^7 background which results in two scalar modes with m^2=-2 on AdS_4. Being conformally coupled with a quartic interaction it is possible to find the exact solutions of the scalar equation on this background. These modes turn out to be invariant under SU(4) subgroup of SO(8) isometry group, whereas there are no corresponding SU(4) singlet BPS operators of dimensions one or two on the boundary ABJM theory. Noticing the interchange of 8_s and 8_c representations under skew-whiffing in the bulk, we propose the theory of anti-membranes should similarly be obtained from ABJM theory by swapping these representations. In particular, this enables us to identify the dual boundary operators of the two scalar modes. We deform the boundary theory by the dual operators and examine the fermionic field equations and compare the solutions of the deformed theory with those of the bulk.

[ { "created": "Sun, 12 Dec 2010 16:29:54 GMT", "version": "v1" }, { "created": "Sun, 24 Apr 2011 09:43:34 GMT", "version": "v2" } ]

2011-05-12

[ [ "Imaanpur", "A.", "" ], [ "Naghdi", "M.", "" ] ]

We introduce two ansatzs for the 3-form potential of Euclidean 11d supergravity on skew-whiffed AdS_4 X S^7 background which results in two scalar modes with m^2=-2 on AdS_4. Being conformally coupled with a quartic interaction it is possible to find the exact solutions of the scalar equation on this background. These modes turn out to be invariant under SU(4) subgroup of SO(8) isometry group, whereas there are no corresponding SU(4) singlet BPS operators of dimensions one or two on the boundary ABJM theory. Noticing the interchange of 8_s and 8_c representations under skew-whiffing in the bulk, we propose the theory of anti-membranes should similarly be obtained from ABJM theory by swapping these representations. In particular, this enables us to identify the dual boundary operators of the two scalar modes. We deform the boundary theory by the dual operators and examine the fermionic field equations and compare the solutions of the deformed theory with those of the bulk.

10.528802

10.724627

12.020267

9.930946

10.288662

9.766781

9.604645

9.94699

10.097709

12.947965

9.979874

10.228354

10.386172

10.093801

10.454693

9.831484

10.164573

10.118304

10.001929

10.32131

9.942277

1508.04764

Massimo Taronna

E.D. Skvortsov and Massimo Taronna

On Locality, Holography and Unfolding

36 pages, LaTex. References added, typos corrected. Final version to appear in JHEP

null

hep-th

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

We study the functional class and locality problems in the context of higher-spin theories and Vasiliev's equations. A locality criterion that is sufficient to make higher-spin theories well-defined as field theories on Anti-de-Sitter space is proposed. This criterion identifies admissible pseudo-local field redefinitions which preserve AdS/CFT correlation functions as we check in the 3d example. Implications of this analysis for known higher-spin theories are discussed. We also check that the cubic coupling coefficients previously fixed in 3d at the action level give the correct CFT correlation functions upon computing the corresponding Witten diagrams.

[ { "created": "Wed, 19 Aug 2015 20:03:30 GMT", "version": "v1" }, { "created": "Tue, 3 Nov 2015 17:26:18 GMT", "version": "v2" } ]

2015-11-04

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

We study the functional class and locality problems in the context of higher-spin theories and Vasiliev's equations. A locality criterion that is sufficient to make higher-spin theories well-defined as field theories on Anti-de-Sitter space is proposed. This criterion identifies admissible pseudo-local field redefinitions which preserve AdS/CFT correlation functions as we check in the 3d example. Implications of this analysis for known higher-spin theories are discussed. We also check that the cubic coupling coefficients previously fixed in 3d at the action level give the correct CFT correlation functions upon computing the corresponding Witten diagrams.

16.586201

17.239073

17.311741

14.896937

15.686642

14.523993

16.980362

14.401402

15.197078

19.750271

14.419271

15.537334

17.109093

14.918047

14.784441

15.211066

14.355115

15.219233

15.068845

16.458158

14.398417

0811.4177

Noriaki Ogawa

Tatsuo Azeyanagi, Noriaki Ogawa and Seiji Terashima

Holographic Duals of Kaluza-Klein Black Holes

21 pages, LaTeX; v2: metadata corrected, v3: minor corrections, references added, v4: minor corrections (mainly on boundary conditions), v5: minor corrections, references added, published in JHEP

JHEP 0904:061,2009

10.1088/1126-6708/2009/04/061

KUNS-2169, YITP-08-88

hep-th gr-qc

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

We apply Brown-Henneaux's method to the 5D extremal rotating Kaluza-Klein black holes essentially following the calculation of the Kerr/CFT correspondence, which is not based on supersymmetry nor string theory. We find that there are two completely different Virasoro algebras that can be obtained as the asymptotic symmetry algebras according to appropriate boundary conditions. The microscopic entropies are calculated by using the Cardy formula for both boundary conditions and they perfectly agree with the Bekenstein-Hawking entropy. The rotating Kaluza-Klein black holes contain a 4D dyonic Reissner-Nordstrom black hole and Myers-Perry black hole. Since the D-brane configurations corresponding to these black holes are known, we expect that our analysis will shed some light on deeper understanding of chiral CFT2's dual to extremal black holes.

[ { "created": "Wed, 26 Nov 2008 20:54:44 GMT", "version": "v1" }, { "created": "Thu, 27 Nov 2008 00:31:29 GMT", "version": "v2" }, { "created": "Fri, 12 Dec 2008 12:34:31 GMT", "version": "v3" }, { "created": "Mon, 29 Dec 2008 18:04:24 GMT", "version": "v4" }, { "created": "Sun, 19 Apr 2009 10:51:42 GMT", "version": "v5" } ]

2009-04-19

[ [ "Azeyanagi", "Tatsuo", "" ], [ "Ogawa", "Noriaki", "" ], [ "Terashima", "Seiji", "" ] ]

We apply Brown-Henneaux's method to the 5D extremal rotating Kaluza-Klein black holes essentially following the calculation of the Kerr/CFT correspondence, which is not based on supersymmetry nor string theory. We find that there are two completely different Virasoro algebras that can be obtained as the asymptotic symmetry algebras according to appropriate boundary conditions. The microscopic entropies are calculated by using the Cardy formula for both boundary conditions and they perfectly agree with the Bekenstein-Hawking entropy. The rotating Kaluza-Klein black holes contain a 4D dyonic Reissner-Nordstrom black hole and Myers-Perry black hole. Since the D-brane configurations corresponding to these black holes are known, we expect that our analysis will shed some light on deeper understanding of chiral CFT2's dual to extremal black holes.

7.098433

6.691896

7.228068

6.319956

7.149005

6.57626

6.985653

6.547406

6.39901

7.544388

6.503543

6.682117

7.005738

6.712487

6.778421

6.619764

6.65169

6.555924

6.620312

6.885588

6.526931

hep-th/9804190

Norbert Scheu

On the Computation of Mass Spectra and Structure Functions in a Relativistic Hamiltonian Formalism: A Lattice Point of View

LaTeX2e. Macros: amssymb,amsmath,amscd,psfig,makeidx,pifont, tabularx,cite,floatflt,multirow, Abstract modified

null

ULaval-Laphyt-April-98

hep-th hep-lat hep-ph

null

Herein we propose a new numerical technique for solving field theories: the large momentum frame (LMF). This technique combines several advantages of lattice gauge theory with the simplicity of front form quantisation. We apply the LMF on QED(1+1) and on the $\phi^4(3+1)$ theory. We demonstrate both analytically and in practical examples (1) that the LMF does neither correspond to the infinite momentum frame (IMF) nor to the front-form (FF) (2) that the LMF is not equivalent to the IMF (3) that the IMF is unphysical since it violates the lattice scaling window and (4) that the FF is even more unphysical because FF propagators violate micro-causality, causality and the finiteness of the speed of light. We argue that distribution functions measured in deep inelastic scattering should be interpreted in the LMF (preferably in the Breit frame) rather than in the FF formalism. In particular, we argue that deep inelastic scattering probes space-like distribution functions.

[ { "created": "Wed, 29 Apr 1998 04:05:33 GMT", "version": "v1" }, { "created": "Thu, 30 Apr 1998 19:07:37 GMT", "version": "v2" } ]

2007-05-23

[ [ "Scheu", "Norbert", "" ] ]

Herein we propose a new numerical technique for solving field theories: the large momentum frame (LMF). This technique combines several advantages of lattice gauge theory with the simplicity of front form quantisation. We apply the LMF on QED(1+1) and on the $\phi^4(3+1)$ theory. We demonstrate both analytically and in practical examples (1) that the LMF does neither correspond to the infinite momentum frame (IMF) nor to the front-form (FF) (2) that the LMF is not equivalent to the IMF (3) that the IMF is unphysical since it violates the lattice scaling window and (4) that the FF is even more unphysical because FF propagators violate micro-causality, causality and the finiteness of the speed of light. We argue that distribution functions measured in deep inelastic scattering should be interpreted in the LMF (preferably in the Breit frame) rather than in the FF formalism. In particular, we argue that deep inelastic scattering probes space-like distribution functions.

8.993012

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9.058507

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10.138386

9.166908

9.619156

8.782652

9.575401

8.957119

8.972178

8.511945

8.531079

8.676926

9.007243

8.957241

8.709172

8.502913

8.762947

8.688375

hep-th/0212167

Andreas Gustavsson

Classical self-dual strings in d=6, (2,0) theory from afar

13 pages, clarifications and added references

JHEP 0301 (2003) 019

10.1088/1126-6708/2003/01/019

null

hep-th

null

We show how one can get solitonic strings in a six-dimensional (2,0) supersymmetric theory by incorporating a nonlinear interaction term. We derive a zero force condition between parallel strings, and compute a metric on a moduli space which is $R^4$ when the strings are far apart. When compactifying the strings on a two-torus we show that, in the limit of vanishing two-torus, one regains the moduli space of two widely separated dyons of equal magnetic charges in four dimensions.

[ { "created": "Mon, 16 Dec 2002 08:32:17 GMT", "version": "v1" }, { "created": "Wed, 18 Dec 2002 11:42:09 GMT", "version": "v2" } ]

2009-11-07

[ [ "Gustavsson", "Andreas", "" ] ]

We show how one can get solitonic strings in a six-dimensional (2,0) supersymmetric theory by incorporating a nonlinear interaction term. We derive a zero force condition between parallel strings, and compute a metric on a moduli space which is $R^4$ when the strings are far apart. When compactifying the strings on a two-torus we show that, in the limit of vanishing two-torus, one regains the moduli space of two widely separated dyons of equal magnetic charges in four dimensions.

11.52186

9.953773

12.884383

10.258625

10.523321

10.067672

9.644984

10.113056

10.30064

12.312909

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10.128939

11.024237

10.605083

10.226283

10.232057

10.006454

10.575049

10.61369

11.505949

10.043839

1707.00512

Johar Muhammad Ashfaque

Johar M. Ashfaque

Free-Fermionic $SO(8)$ And tri$(\mathbb{O})$

15 pages. arXiv admin note: text overlap with arXiv:1309.0546 by other authors

null

hep-th

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

In this note, we speculate about the fundamental role being played by the $SO(8)$ group representations displaying the triality structure that necessarily arise in models constructed under the free fermionic methodology as being remnants of the higher-dimensional triality algebra tri$(\mathbb{O}) = \mathfrak{so}(8)$.

[ { "created": "Fri, 16 Jun 2017 11:05:16 GMT", "version": "v1" } ]

2017-07-04

[ [ "Ashfaque", "Johar M.", "" ] ]

In this note, we speculate about the fundamental role being played by the $SO(8)$ group representations displaying the triality structure that necessarily arise in models constructed under the free fermionic methodology as being remnants of the higher-dimensional triality algebra tri$(\mathbb{O}) = \mathfrak{so}(8)$.

29.211153

23.829496

25.578983

23.793652

27.214634

23.407883

23.959768

25.805414

24.054348

29.700102

23.311342

24.717865

23.671461

23.652134

23.519993

23.62253

23.696856

24.826265

24.524935

23.829054

23.842743

1805.07279

Joris Raeymaekers

Pan Kessel and Joris Raeymaekers

Simple Unfolded Equations for Massive Higher Spins in AdS$_3$

21 pages plus appendices. V2: typos corrected, references added, published version

JHEP 1808 (2018) 076

10.1007/JHEP08(2018)076

null

hep-th

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

We propose a simple unfolded description of free massive higher spin particles in anti-de-Sitter spacetime. While our unfolded equation of motion has the standard form of a covariant constancy condition, our formulation differs from the standard one in that our field takes values in a different internal space, which for us is simply a unitary irreducible representation of the symmetry group. Our main result is the explicit construction, for the case of AdS$_3$, of a map from our formulation to the standard wave equations for massive higher spin particles, as well as to the unfolded description prevalent in the literature. It is hoped that our formulation may be used to clarify the group-theoretic content of interactions in higher spin theories.

[ { "created": "Fri, 18 May 2018 15:20:16 GMT", "version": "v1" }, { "created": "Mon, 20 Aug 2018 17:23:32 GMT", "version": "v2" } ]

2018-08-29

[ [ "Kessel", "Pan", "" ], [ "Raeymaekers", "Joris", "" ] ]

We propose a simple unfolded description of free massive higher spin particles in anti-de-Sitter spacetime. While our unfolded equation of motion has the standard form of a covariant constancy condition, our formulation differs from the standard one in that our field takes values in a different internal space, which for us is simply a unitary irreducible representation of the symmetry group. Our main result is the explicit construction, for the case of AdS$_3$, of a map from our formulation to the standard wave equations for massive higher spin particles, as well as to the unfolded description prevalent in the literature. It is hoped that our formulation may be used to clarify the group-theoretic content of interactions in higher spin theories.

9.085552

8.6397

9.410264

8.234474

8.162123

8.78191

8.391641

8.262859

8.622445

9.960558

8.710149

8.140583

9.043785

8.206898

8.17361

8.287137

8.397962

8.228144

8.245898

9.364318

8.146575

hep-th/0312169

Ricardo Moritz Cavalcanti

F. A. Barone, R. M. Cavalcanti and C. Farina

Radiative corrections to the Casimir energy in the $\lambda|\phi|^{4}$ model under quasi-periodic boundary conditions

6 pages, 2 figures. Work presented at the XXIV Brazilian National Meeting on Particles and Fields (Caxambu, Brazil, 30 Sep - 4 Oct 2003)

null

hep-th

null

We compute the first radiative correction to the Casimir energy in the $(d+1)$-dimensional $\lambda|\phi|^{4}$ model submitted to quasi-periodic boundary conditions in one spatial direction. Our results agree with the ones found in the literature for periodic and anti-periodic boundary conditions, special cases of the quasi-periodic boundary conditions.

[ { "created": "Mon, 15 Dec 2003 19:53:40 GMT", "version": "v1" } ]

2007-05-23

[ [ "Barone", "F. A.", "" ], [ "Cavalcanti", "R. M.", "" ], [ "Farina", "C.", "" ] ]

We compute the first radiative correction to the Casimir energy in the $(d+1)$-dimensional $\lambda|\phi|^{4}$ model submitted to quasi-periodic boundary conditions in one spatial direction. Our results agree with the ones found in the literature for periodic and anti-periodic boundary conditions, special cases of the quasi-periodic boundary conditions.

6.892203

4.464453

6.467528

4.916605

4.898613

4.640429

4.54543

4.542091

4.845217

5.618586

4.908016

5.485945

6.114486

5.638249

5.523882

5.330717

5.262893

5.256675

5.559995

6.093711

5.343187

1906.10715

Sam van Leuven

Shinji Hirano, Yang Lei, Sam van Leuven

Information Transfer and Black Hole Evaporation via Traversable BTZ Wormholes

27+5 pages, 11 figures, v2: added ref + corrected typos in section 2

null

10.1007/JHEP09(2019)070

null

hep-th

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

We study traversable wormholes by considering the duality between BTZ black holes and two-dimensional conformal field theory on the thermofield double state. The BTZ black holes can be rendered traversable by a negative energy shock wave. Following Gao, Jafferis and Wall [1], we show that the negative energy shock wave is dual to the infinite boost limit of a specific double trace deformation which couples the left and right CFTs. We spell out the mechanism of information transfer through traversable BTZ wormholes, treating the backreaction of the message as a positive energy shockwave. The corresponding spacetime is that of colliding spherical shells in the BTZ black hole, which we explicitly construct. This construction allows us to obtain a bound on the amount of information that can be sent through the wormhole, which is consistent with previous work in the context of nearly $AdS_2$ gravity [2]. Consequently, we define a notion of traversibility of the wormhole and study it in the context of a multiple shock geometry. We argue that the time-dependence of traversibility in this geometry can be connected to certain aspects of the black hole evaporation process, such as the second half of the Page curve. Finally, we examine the claim that traversable wormholes are fast decoders. We find evidence for this by computing the scrambling time in the shockwave background and showing that it is delayed by the presence of the negative energy shock wave.

[ { "created": "Tue, 25 Jun 2019 18:22:05 GMT", "version": "v1" }, { "created": "Mon, 29 Jul 2019 08:50:19 GMT", "version": "v2" } ]

2019-09-30

[ [ "Hirano", "Shinji", "" ], [ "Lei", "Yang", "" ], [ "van Leuven", "Sam", "" ] ]

We study traversable wormholes by considering the duality between BTZ black holes and two-dimensional conformal field theory on the thermofield double state. The BTZ black holes can be rendered traversable by a negative energy shock wave. Following Gao, Jafferis and Wall [1], we show that the negative energy shock wave is dual to the infinite boost limit of a specific double trace deformation which couples the left and right CFTs. We spell out the mechanism of information transfer through traversable BTZ wormholes, treating the backreaction of the message as a positive energy shockwave. The corresponding spacetime is that of colliding spherical shells in the BTZ black hole, which we explicitly construct. This construction allows us to obtain a bound on the amount of information that can be sent through the wormhole, which is consistent with previous work in the context of nearly $AdS_2$ gravity [2]. Consequently, we define a notion of traversibility of the wormhole and study it in the context of a multiple shock geometry. We argue that the time-dependence of traversibility in this geometry can be connected to certain aspects of the black hole evaporation process, such as the second half of the Page curve. Finally, we examine the claim that traversable wormholes are fast decoders. We find evidence for this by computing the scrambling time in the shockwave background and showing that it is delayed by the presence of the negative energy shock wave.

8.52852

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