LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0606257

Michela Petrini

Ruben Minasian, Michela Petrini and Alberto Zaffaroni

Gravity duals to deformed SYM theories and Generalized Complex Geometry

LaTex, 29 pages

JHEP0612:055,2006

10.1088/1126-6708/2006/12/055

null

hep-th

null

We analyze the supersymmetry conditions for a class of SU(2) structure backgrounds of Type IIB supergravity, corresponding to a specific ansatz for the supersymmetry parameters. These backgrounds are relevant for the AdS/CFT correspondence since they are suitable to describe mass deformations or beta-deformations of four-dimensional superconformal gauge theories. Using Generalized Complex Geometry we show that these geometries are characterized by a closed nowhere-vanishing vector field and a modified fundamental form which is also closed. The vector field encodes the information about the superpotential and the type of deformation - mass or beta respectively. We also show that the Pilch-Warner solution dual to a mass-deformation of N =4 Super Yang-Mills and the Lunin-Maldacena beta-deformation of the same background fall in our class of solutions.

[ { "created": "Tue, 27 Jun 2006 15:14:15 GMT", "version": "v1" } ]

2009-11-11

[ [ "Minasian", "Ruben", "" ], [ "Petrini", "Michela", "" ], [ "Zaffaroni", "Alberto", "" ] ]

We analyze the supersymmetry conditions for a class of SU(2) structure backgrounds of Type IIB supergravity, corresponding to a specific ansatz for the supersymmetry parameters. These backgrounds are relevant for the AdS/CFT correspondence since they are suitable to describe mass deformations or beta-deformations of four-dimensional superconformal gauge theories. Using Generalized Complex Geometry we show that these geometries are characterized by a closed nowhere-vanishing vector field and a modified fundamental form which is also closed. The vector field encodes the information about the superpotential and the type of deformation - mass or beta respectively. We also show that the Pilch-Warner solution dual to a mass-deformation of N =4 Super Yang-Mills and the Lunin-Maldacena beta-deformation of the same background fall in our class of solutions.

6.912007

6.12135

7.975462

6.285302

6.344589

6.320256

6.181669

5.835528

6.146506

9.062551

6.299758

6.562901

7.710186

6.560246

6.482032

6.327803

6.657461

6.66367

6.31417

7.137702

6.358595

1503.06140

Johannes Oertel

Johannes Oertel and Ralf Sch\"utzhold

Inverse approach to solutions of the Dirac equation for space-time dependent fields

7 pages, 2 figures

Phys. Rev. D 92, 025055 (2015)

10.1103/PhysRevD.92.025055

null

hep-th

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

Exact solutions of the Dirac equation in external electromagnetic background fields are very helpful for understanding non-perturbative phenomena in quantum electrodynamics (QED). However, for the limited set of known solutions, the field often depends on one coordinate only, which could be the time $t$, a spatial coordinate such as $x$ or $r$, or a light-cone coordinate such as $ct-x$. By swapping the roles of known and unknown quantities in the Dirac equation, we are able to generate families of solutions of the Dirac equation in the presence of genuinely space-time dependent electromagnetic fields in $1+1$ and $2+1$ dimensions.

[ { "created": "Fri, 20 Mar 2015 16:16:13 GMT", "version": "v1" }, { "created": "Fri, 29 May 2015 10:07:59 GMT", "version": "v2" }, { "created": "Wed, 23 Mar 2016 09:21:34 GMT", "version": "v3" } ]

2016-03-24

[ [ "Oertel", "Johannes", "" ], [ "Schützhold", "Ralf", "" ] ]

Exact solutions of the Dirac equation in external electromagnetic background fields are very helpful for understanding non-perturbative phenomena in quantum electrodynamics (QED). However, for the limited set of known solutions, the field often depends on one coordinate only, which could be the time $t$, a spatial coordinate such as $x$ or $r$, or a light-cone coordinate such as $ct-x$. By swapping the roles of known and unknown quantities in the Dirac equation, we are able to generate families of solutions of the Dirac equation in the presence of genuinely space-time dependent electromagnetic fields in $1+1$ and $2+1$ dimensions.

6.516708

6.375369

6.254851

6.291289

7.02502

6.224051

6.329092

6.551239

5.963222

6.928577

6.277895

6.517578

6.615262

6.5072

6.41046

6.344154

6.570985

6.522681

6.322834

6.34186

6.306759

2211.06927

Peng-Xiang Hao

Peng-Xiang Hao, Wei Song, Zehua Xiao, Xianjin Xie

A BMS-invariant free fermion model

49 pages

null

hep-th

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

We used the Cartan formalism to construct fermionic models that are compatible with Galilean or Carrollian symmetry and rigid scaling symmetry. The free Carrollian fermion model exhibits conformal Carrollian symmetry which is isomorphic to the asymptotic symmetries for flat spacetime in three dimensions, namely the BMS$_3$ symmetry. We performed canonical quantization to this free BMS fermion model, discussed both the highest weight vacuum and the induced vacuum, calculated the correlation functions and the torus partition function. Finally we constructed $\mathcal N=2$ supersymmetric theories by combining the free fermion model and the free scalar model.

[ { "created": "Sun, 13 Nov 2022 15:26:30 GMT", "version": "v1" } ]

2022-11-15

[ [ "Hao", "Peng-Xiang", "" ], [ "Song", "Wei", "" ], [ "Xiao", "Zehua", "" ], [ "Xie", "Xianjin", "" ] ]

We used the Cartan formalism to construct fermionic models that are compatible with Galilean or Carrollian symmetry and rigid scaling symmetry. The free Carrollian fermion model exhibits conformal Carrollian symmetry which is isomorphic to the asymptotic symmetries for flat spacetime in three dimensions, namely the BMS$_3$ symmetry. We performed canonical quantization to this free BMS fermion model, discussed both the highest weight vacuum and the induced vacuum, calculated the correlation functions and the torus partition function. Finally we constructed $\mathcal N=2$ supersymmetric theories by combining the free fermion model and the free scalar model.

11.477266

10.244264

10.978218

10.01942

10.954619

10.872044

10.684322

11.153373

9.322141

11.60839

9.801478

11.273436

11.195422

10.585162

11.008715

10.636519

10.604246

10.520915

10.390051

11.091343

10.652592

hep-th/0406262

Yukitaka Ishimoto

Yukitaka Ishimoto, Shun-ichi Yamaguchi

Minimal String Theory is Logarithmic

Latex2e 13 pages; v.2: minor corrections, typos fixed

Phys.Lett. B607 (2005) 172-179

10.1016/j.physletb.2004.12.047

STUPP-04-175, RIKEN-TH-28

hep-th

null

We study the simplest examples of minimal string theory whose worldsheet description is the unitary (p,q) minimal model coupled to two-dimensional gravity (Liouville field theory). In the Liouville sector, we show that four-point correlation functions of `tachyons' exhibit logarithmic singularities, and that the theory turns out to be logarithmic. The relation with Zamolodchikov's logarithmic degenerate fields is also discussed. Our result holds for generic values of (p,q).

[ { "created": "Tue, 29 Jun 2004 08:02:57 GMT", "version": "v1" }, { "created": "Fri, 24 Dec 2004 11:05:20 GMT", "version": "v2" } ]

2007-05-23

[ [ "Ishimoto", "Yukitaka", "" ], [ "Yamaguchi", "Shun-ichi", "" ] ]

We study the simplest examples of minimal string theory whose worldsheet description is the unitary (p,q) minimal model coupled to two-dimensional gravity (Liouville field theory). In the Liouville sector, we show that four-point correlation functions of `tachyons' exhibit logarithmic singularities, and that the theory turns out to be logarithmic. The relation with Zamolodchikov's logarithmic degenerate fields is also discussed. Our result holds for generic values of (p,q).

7.141324

6.913526

10.454907

6.697128

6.941807

7.091726

6.991663

6.91095

7.059419

9.566875

6.632883

6.726507

8.203195

6.800202

6.80961

6.942744

6.769835

6.935596

6.986838

7.824565

6.86062

1405.3650

Tatsuma Nishioka

Relevant Perturbation of Entanglement Entropy and Stationarity

11 pages, 2 figures: v2: minor changes, a reference added

Phys. Rev. D 90, 045006 (2014)

10.1103/PhysRevD.90.045006

null

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

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

A relevant perturbation of the entanglement entropy of a sphere is examined holographically near the UV fixed point. Varying the conformal dimension of the relevant operator, we obtain three different sectors: 1) the entanglement entropy is stationary and the perturbative expansion is well-defined with respect to the relevant coupling, 2) the entropy is stationary, but the perturbation fails, 3) the entropy is neither stationary nor perturbative. We compare our holographic results with the numerical calculation for a free massive scalar field in three-dimensions, and find a qualitative agreement between them. We speculate that these statements hold for any relevant perturbation in any quantum field theory invariant under the Poincare symmetry.

[ { "created": "Wed, 14 May 2014 20:00:01 GMT", "version": "v1" }, { "created": "Tue, 22 Jul 2014 14:54:24 GMT", "version": "v2" } ]

2014-08-13

[ [ "Nishioka", "Tatsuma", "" ] ]

A relevant perturbation of the entanglement entropy of a sphere is examined holographically near the UV fixed point. Varying the conformal dimension of the relevant operator, we obtain three different sectors: 1) the entanglement entropy is stationary and the perturbative expansion is well-defined with respect to the relevant coupling, 2) the entropy is stationary, but the perturbation fails, 3) the entropy is neither stationary nor perturbative. We compare our holographic results with the numerical calculation for a free massive scalar field in three-dimensions, and find a qualitative agreement between them. We speculate that these statements hold for any relevant perturbation in any quantum field theory invariant under the Poincare symmetry.

8.053229

7.335878

8.02462

6.546368

6.631462

6.467223

6.862339

6.859155

7.018279

8.807152

6.889768

6.931474

7.448666

6.645956

6.656254

6.569354

6.702871

6.766973

6.864411

7.594801

6.933197

0706.2269

Falk Bruckmann

Falk Bruckmann (Regensburg U.)

Topological objects in QCD

28 pages, 17 figures; Lectures given at 45th Internationale Universitaetswochen fuer Theoretische Physik (International University School of Theoretical Physics): Conceptual and Numerical Challenges in Femto- and Peta-Scale Physics, Schladming, Styria, Austria, 24 Feb - 3 Mar 2007

Eur.Phys.J.ST 152:61-88,2007

10.1140/epjst/e2007-00377-2

null

hep-th hep-lat hep-ph

null

Topological excitations are prominent candidates for explaining nonperturbative effects in QCD like confinement. In these lectures, I cover both formal treatments and applications of topological objects. The typical phenomena like BPS bounds, topology, the semiclassical approximation and chiral fermions are introduced by virtue of kinks. Then I proceed in higher dimensions with magnetic monopoles and instantons and special emphasis on calorons. Analytical aspects are discussed and an overview over models based on these objects as well as lattice results is given.

[ { "created": "Fri, 15 Jun 2007 11:28:17 GMT", "version": "v1" } ]

2009-11-18

[ [ "Bruckmann", "Falk", "", "Regensburg U." ] ]

Topological excitations are prominent candidates for explaining nonperturbative effects in QCD like confinement. In these lectures, I cover both formal treatments and applications of topological objects. The typical phenomena like BPS bounds, topology, the semiclassical approximation and chiral fermions are introduced by virtue of kinks. Then I proceed in higher dimensions with magnetic monopoles and instantons and special emphasis on calorons. Analytical aspects are discussed and an overview over models based on these objects as well as lattice results is given.

17.009329

16.88921

17.094639

16.291531

18.343435

18.21554

18.359274

16.683895

16.142893

17.517284

16.72681

16.32613

15.973434

15.571605

15.636005

15.684143

16.432991

15.91657

15.919352

15.706018

15.817992

hep-th/9610154

Alex Avram

A.C. Avram, M. Kreuzer, M. Mandelberg, H. Skarke

Searching for K3 Fibrations

21 pages, LaTeX2e, 4 eps figures, uses packages amssymb,latexsym,cite,epic

Nucl.Phys. B494 (1997) 567-589

10.1016/S0550-3213(97)00214-9

null

hep-th alg-geom math.AG

null

We present two methods for studying fibrations of Calabi-Yau manifolds embedded in toric varieties described by single weight systems. We analyse 184,026 such spaces and identify among them 124,701 which are K3 fibrations. As some of the weights give rise to two or three distinct types of fibrations, the total number we find is 167,406. With our methods one can also study elliptic fibrations of 3-folds and K3 surfaces. We also calculate the Hodge numbers of the 3-folds obtaining more than three times as many as were previously known.

[ { "created": "Sun, 20 Oct 1996 18:58:56 GMT", "version": "v1" } ]

2009-10-30

[ [ "Avram", "A. C.", "" ], [ "Kreuzer", "M.", "" ], [ "Mandelberg", "M.", "" ], [ "Skarke", "H.", "" ] ]

We present two methods for studying fibrations of Calabi-Yau manifolds embedded in toric varieties described by single weight systems. We analyse 184,026 such spaces and identify among them 124,701 which are K3 fibrations. As some of the weights give rise to two or three distinct types of fibrations, the total number we find is 167,406. With our methods one can also study elliptic fibrations of 3-folds and K3 surfaces. We also calculate the Hodge numbers of the 3-folds obtaining more than three times as many as were previously known.

12.507653

11.191824

13.299381

12.037963

12.004055

11.864271

10.961563

11.223536

11.045347

13.567765

10.815585

11.588298

11.632128

11.28336

11.534247

11.160018

11.395448

11.247936

11.572069

11.920255

11.655066

hep-th/9712022

Mourad

E. Dudas and J. Mourad

Solitons in the Horava-Witten supergravity

15 pages, LaTeX

Phys.Lett. B423 (1998) 281-292

10.1016/S0370-2693(98)00142-7

CERN-TH/97-334, LPTHE-ORSAY 97/66, LPTM 97/51

hep-th

null

We study classical BPS five-brane solutions in the Horava-Witten supergravity. The presence of the eleventh dimension add a new feature, namely the dependence of the solution on this new coordinate. For gauge five-branes with an instanton size less than the eleventh radius and in the neighborhood of the center of the neutral five-brane, important corrections to the ten-dimensional solution appear for all values of the string coupling constant. We compute the mass and magnetic charge of the five-brane solitons and the result is shown to agree with the membrane and five-brane quantization conditions. Compactified to four dimensions, our solutions are interpreted as axionic strings.

[ { "created": "Tue, 2 Dec 1997 13:59:18 GMT", "version": "v1" } ]

2009-10-30

[ [ "Dudas", "E.", "" ], [ "Mourad", "J.", "" ] ]

We study classical BPS five-brane solutions in the Horava-Witten supergravity. The presence of the eleventh dimension add a new feature, namely the dependence of the solution on this new coordinate. For gauge five-branes with an instanton size less than the eleventh radius and in the neighborhood of the center of the neutral five-brane, important corrections to the ten-dimensional solution appear for all values of the string coupling constant. We compute the mass and magnetic charge of the five-brane solitons and the result is shown to agree with the membrane and five-brane quantization conditions. Compactified to four dimensions, our solutions are interpreted as axionic strings.

11.131629

9.854154

11.748231

9.613621

9.840689

10.306154

10.949869

10.274844

9.767855

13.986236

9.994852

10.662187

11.746902

10.395834

10.305233

10.438386

9.972244

10.617699

10.469162

11.476418

10.278666

hep-th/0208132

Kumar S. Gupta

B. Basu-Mallick, Pijush K. Ghosh and Kumar S. Gupta

Inequivalent Quantizations of the Rational Calogero Model

Revtex file, 6 pages, 1 figure, minor changes in the text, version to appear in Phys. Lett. A

Phys.Lett.A311:87-92,2003

10.1016/S0375-9601(03)00463-8

SINP-TNP/02-23

hep-th cond-mat nlin.SI

null

We show that the rational Calogero model with suitable boundary condition admits quantum states with non-equispaced energy levels. Such a spectrum generically consists of infinitely many positive energy states and a single negative energy state. The new states appear for arbitrary number of particles and for specific ranges of the coupling constant. These states owe their existence to the self-adjoint extensions of the corresponding Hamiltonian, which are labelled by a real parameter z. Each value of z corresponds to a particular spectrum, leading to inequivalent quantizations of the model.

[ { "created": "Mon, 19 Aug 2002 12:33:01 GMT", "version": "v1" }, { "created": "Thu, 29 Aug 2002 14:00:00 GMT", "version": "v2" }, { "created": "Thu, 13 Mar 2003 07:54:38 GMT", "version": "v3" } ]

2011-07-19

[ [ "Basu-Mallick", "B.", "" ], [ "Ghosh", "Pijush K.", "" ], [ "Gupta", "Kumar S.", "" ] ]

We show that the rational Calogero model with suitable boundary condition admits quantum states with non-equispaced energy levels. Such a spectrum generically consists of infinitely many positive energy states and a single negative energy state. The new states appear for arbitrary number of particles and for specific ranges of the coupling constant. These states owe their existence to the self-adjoint extensions of the corresponding Hamiltonian, which are labelled by a real parameter z. Each value of z corresponds to a particular spectrum, leading to inequivalent quantizations of the model.

10.242227

8.903348

10.269956

9.201442

9.41286

8.794415

9.815158

9.078924

8.241795

11.101409

8.619191

9.061609

9.253226

9.286038

8.915812

9.177041

9.113888

9.16076

9.270451

9.07496

9.157207

hep-th/9312031

Harry Braden

H. W. Braden and Takashi Suzuki

$R$-matrices for the $n=2,3$ Elliptic Calogero-Moser Models

null

10.1016/0375-9601(94)91008-1

null

hep-th nlin.SI solv-int

null

The classical (dynamical) $R$-matrices for the 2- and 3-body Calogero-Moser models with elliptic potentials are given. The 3-body case has an interesting nontrivial structure that goes beyond the known ansatz for momentum independent $R$-matrices. The $R$-matrices presented include the dynamical $R$-matrices of Avan and Talon as degenerate cases of the elliptic potential.

[ { "created": "Fri, 3 Dec 1993 14:00:40 GMT", "version": "v1" } ]

2009-10-22

[ [ "Braden", "H. W.", "" ], [ "Suzuki", "Takashi", "" ] ]

The classical (dynamical) $R$-matrices for the 2- and 3-body Calogero-Moser models with elliptic potentials are given. The 3-body case has an interesting nontrivial structure that goes beyond the known ansatz for momentum independent $R$-matrices. The $R$-matrices presented include the dynamical $R$-matrices of Avan and Talon as degenerate cases of the elliptic potential.

7.640303

5.650493

10.72017

6.370211

6.701883

6.388281

6.8038

6.404034

6.285723

10.388946

6.1473

6.699694

8.045918

7.178002

7.142511

6.953181

7.244509

7.119226

7.141582

8.106256

7.131262

1211.3409

Takuya Okuda

Nadav Drukker, Takuya Okuda and Filippo Passerini

Exact results for vortex loop operators in 3d supersymmetric theories

70 pages, 3 figures; version 2: 73 pages, added references, expanded discussions on index theory, and corrected some formulas and arguments

null

CERN-PH-TH/2013-314

hep-th

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

Three dimensional field theories admit disorder line operators, dubbed vortex loop operators. They are defined by the path integral in the presence of prescribed singularities along the defect line. We study half-BPS vortex loop operators for N=2 supersymmetric theories on S^3, its deformation S^3_b and S^1 x S^2. We construct BPS vortex loops defined by the path integral with a fixed gauge or flavor holonomy for infinitesimal curves linking the loop. It is also possible to include a singular profile for matter fields. For vortex loops defined by holonomy, we perform supersymmetric localization by calculating the fluctuation modes, or alternatively by applying the index theory for transversally elliptic operators. We clarify how the latter method works in situations without fixed points of relevant isometries. Abelian mirror symmetry transforms Wilson and vortex loops in a specific way. In particular an ordinary Wilson loop transforms into a vortex loop for a flavor symmetry. Our localization results confirm the predictions of abelian mirror symmetry.

[ { "created": "Wed, 14 Nov 2012 20:47:36 GMT", "version": "v1" }, { "created": "Fri, 2 May 2014 00:59:03 GMT", "version": "v2" } ]

2014-05-05

[ [ "Drukker", "Nadav", "" ], [ "Okuda", "Takuya", "" ], [ "Passerini", "Filippo", "" ] ]

Three dimensional field theories admit disorder line operators, dubbed vortex loop operators. They are defined by the path integral in the presence of prescribed singularities along the defect line. We study half-BPS vortex loop operators for N=2 supersymmetric theories on S^3, its deformation S^3_b and S^1 x S^2. We construct BPS vortex loops defined by the path integral with a fixed gauge or flavor holonomy for infinitesimal curves linking the loop. It is also possible to include a singular profile for matter fields. For vortex loops defined by holonomy, we perform supersymmetric localization by calculating the fluctuation modes, or alternatively by applying the index theory for transversally elliptic operators. We clarify how the latter method works in situations without fixed points of relevant isometries. Abelian mirror symmetry transforms Wilson and vortex loops in a specific way. In particular an ordinary Wilson loop transforms into a vortex loop for a flavor symmetry. Our localization results confirm the predictions of abelian mirror symmetry.

15.06536

14.535258

16.105564

14.036769

15.841429

15.174594

15.584764

14.319695

13.668159

17.959354

14.205511

13.33961

14.439994

13.382453

13.661531

13.290277

13.016095

12.855147

13.267449

14.385437

13.122524

0712.0689

Horatiu Stefan Nastase

Horatiu Nastase

Introduction to AdS-CFT

133 pages, 13 figures; typos corrected, references added

null

hep-th

null

These lectures present an introduction to AdS-CFT, and are intended both for begining and more advanced graduate students, which are familiar with quantum field theory and have a working knowledge of their basic methods. Familiarity with supersymmetry, general relativity and string theory is helpful, but not necessary, as the course intends to be as self-contained as possible. I will introduce the needed elements of field and gauge theory, general relativity, supersymmetry, supergravity, strings and conformal field theory. Then I describe the basic AdS-CFT scenario, of ${\cal N}=4 $ Super Yang-Mills's relation to string theory in $AdS_5\times S_5$, and applications that can be derived from it: 3-point functions, quark-antiquark potential, finite temperature and scattering processes, the pp wave correspondence and spin chains. I also describe some general properties of gravity duals of gauge theories.

[ { "created": "Wed, 5 Dec 2007 10:51:01 GMT", "version": "v1" }, { "created": "Thu, 20 Dec 2007 04:42:24 GMT", "version": "v2" } ]

2007-12-20

[ [ "Nastase", "Horatiu", "" ] ]

These lectures present an introduction to AdS-CFT, and are intended both for begining and more advanced graduate students, which are familiar with quantum field theory and have a working knowledge of their basic methods. Familiarity with supersymmetry, general relativity and string theory is helpful, but not necessary, as the course intends to be as self-contained as possible. I will introduce the needed elements of field and gauge theory, general relativity, supersymmetry, supergravity, strings and conformal field theory. Then I describe the basic AdS-CFT scenario, of ${\cal N}=4 $ Super Yang-Mills's relation to string theory in $AdS_5\times S_5$, and applications that can be derived from it: 3-point functions, quark-antiquark potential, finite temperature and scattering processes, the pp wave correspondence and spin chains. I also describe some general properties of gravity duals of gauge theories.

7.748015

8.125626

8.11007

7.530838

8.249405

8.263239

7.743541

7.66329

7.398669

8.462137

7.479839

7.213709

7.457014

7.243761

7.273026

7.210891

7.076063

7.296906

7.132048

7.431601

7.275892

hep-th/0405134

Paul S. Aspinwall

Paul S. Aspinwall and Ilarion V. Melnikov

D-Branes on Vanishing del Pezzo Surfaces

32 pages, several xy-pic figures, typos and minor errors fixed, section 4.3 removed due to possible errors

JHEP0412:042,2004

10.1088/1126-6708/2004/12/042

DUKE-CGTP-04-05

hep-th

null

We analyze in detail the case of a marginally stable D-Brane on a collapsed del Pezzo surface in a Calabi-Yau threefold using the derived category of quiver representations and the idea of aligned gradings. We show how the derived category approach to D-branes provides a straight-forward and rigorous construction of quiver gauge theories associated to such singularities. Our method shows that a procedure involving exceptional collections used elsewhere in the literature is only valid if some tachyon-inducing Ext3 groups are zero. We then analyze in generality a large class of Seiberg dualities which arise from tilting equivalences. It follows that some (but not all) mutations of exceptional collections induce Seiberg duality in this context. The same tilting equivalence can also be used to remove unwanted Ext3 groups and convert an unphysical quiver into a physical one.

[ { "created": "Fri, 14 May 2004 19:05:24 GMT", "version": "v1" }, { "created": "Thu, 3 Jun 2004 19:04:10 GMT", "version": "v2" } ]

2008-11-26

[ [ "Aspinwall", "Paul S.", "" ], [ "Melnikov", "Ilarion V.", "" ] ]

We analyze in detail the case of a marginally stable D-Brane on a collapsed del Pezzo surface in a Calabi-Yau threefold using the derived category of quiver representations and the idea of aligned gradings. We show how the derived category approach to D-branes provides a straight-forward and rigorous construction of quiver gauge theories associated to such singularities. Our method shows that a procedure involving exceptional collections used elsewhere in the literature is only valid if some tachyon-inducing Ext3 groups are zero. We then analyze in generality a large class of Seiberg dualities which arise from tilting equivalences. It follows that some (but not all) mutations of exceptional collections induce Seiberg duality in this context. The same tilting equivalence can also be used to remove unwanted Ext3 groups and convert an unphysical quiver into a physical one.

12.732479

12.274487

15.590413

12.215526

12.248708

12.044623

12.4428

11.456697

11.240125

15.511264

11.794401

11.757405

13.045609

12.01782

11.65138

11.917672

12.162159

12.031459

11.956329

13.60792

11.851501

hep-th/0701001

Veselin Filev

Veselin G. Filev, Clifford V. Johnson, R. C. Rashkov, K. S. Viswanathan

Flavoured Large N Gauge Theory in an External Magnetic Field

22 pages, 7 figures, references added, few typos corrected

JHEP0710:019,2007

10.1088/1126-6708/2007/10/019

null

hep-th

null

We consider a D7-brane probe of AdS$_{5}\times S^5$ in the presence of pure gauge $B$-field. In the dual gauge theory, the $B$-field couples to the fundamental matter introduced by the D7-brane and acts as an external magnetic field. The $B$-field supports a 6-form Ramond-Ramond potential on the D7-branes world volume that breaks the supersymmetry and enables the dual gauge theory to develop a non-zero fermionic condensate. We explore the dependence of the fermionic condensate on the bare quark mass $m_{q}$ and show that at zero bare quark mass a chiral symmetry is spontaneously broken. A study of the meson spectrum reveals a coupling between the vector and scalar modes, and in the limit of weak magnetic field we observe Zeeman splitting of the states. We also observe the characteristic $\sqrt{m_{q}}$ dependence of the ground state corresponding to the Goldstone boson of spontaneously broken chiral symmetry.

[ { "created": "Fri, 29 Dec 2006 22:08:29 GMT", "version": "v1" }, { "created": "Fri, 29 Jun 2007 19:45:35 GMT", "version": "v2" } ]

2008-11-26

[ [ "Filev", "Veselin G.", "" ], [ "Johnson", "Clifford V.", "" ], [ "Rashkov", "R. C.", "" ], [ "Viswanathan", "K. S.", "" ] ]

We consider a D7-brane probe of AdS$_{5}\times S^5$ in the presence of pure gauge $B$-field. In the dual gauge theory, the $B$-field couples to the fundamental matter introduced by the D7-brane and acts as an external magnetic field. The $B$-field supports a 6-form Ramond-Ramond potential on the D7-branes world volume that breaks the supersymmetry and enables the dual gauge theory to develop a non-zero fermionic condensate. We explore the dependence of the fermionic condensate on the bare quark mass $m_{q}$ and show that at zero bare quark mass a chiral symmetry is spontaneously broken. A study of the meson spectrum reveals a coupling between the vector and scalar modes, and in the limit of weak magnetic field we observe Zeeman splitting of the states. We also observe the characteristic $\sqrt{m_{q}}$ dependence of the ground state corresponding to the Goldstone boson of spontaneously broken chiral symmetry.

5.38881

5.158011

6.128093

5.244654

5.291682

5.48754

5.332327

4.951049

4.894798

6.225106

4.980416

4.909212

5.308719

5.072328

4.980517

4.984356

5.042164

5.003603

4.98093

5.358038

5.023164

2012.05256

Kays Haddad

Rafael Aoude, Kays Haddad, Andreas Helset

Tidal effects for spinning particles

25 pages + appendices, 2 figures

null

10.1007/JHEP03(2021)097

null

hep-th gr-qc hep-ph

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

Expanding on the recent derivation of tidal actions for scalar particles, we present here the action for a tidally deformed spin-$1/2$ particle. Focusing on operators containing two powers of the Weyl tensor, we combine the Hilbert series with an on-shell amplitude basis to construct the tidal action. With the tidal action in hand, we compute the leading-post-Minkowskian tidal contributions to the spin-1/2 -- spin-1/2 amplitude, arising at $\mathcal{O}(G^{2})$. Our amplitudes provide evidence that the observed long range spin-universality for the scattering of two point particles extends to the scattering of tidally deformed objects. From the scattering amplitude we find the conservative two-body Hamiltonian, linear and angular impulses, eikonal phase, spin kick, and aligned-spin scattering angle. We present analogous results in the electromagnetic case along the way.

[ { "created": "Wed, 9 Dec 2020 19:00:09 GMT", "version": "v1" } ]

2021-03-31

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

Expanding on the recent derivation of tidal actions for scalar particles, we present here the action for a tidally deformed spin-$1/2$ particle. Focusing on operators containing two powers of the Weyl tensor, we combine the Hilbert series with an on-shell amplitude basis to construct the tidal action. With the tidal action in hand, we compute the leading-post-Minkowskian tidal contributions to the spin-1/2 -- spin-1/2 amplitude, arising at $\mathcal{O}(G^{2})$. Our amplitudes provide evidence that the observed long range spin-universality for the scattering of two point particles extends to the scattering of tidally deformed objects. From the scattering amplitude we find the conservative two-body Hamiltonian, linear and angular impulses, eikonal phase, spin kick, and aligned-spin scattering angle. We present analogous results in the electromagnetic case along the way.

12.92626

10.500241

11.86583

10.139978

10.600717

11.6379

10.84679

10.271643

9.935649

12.891591

10.00398

11.178185

11.696019

11.094961

11.155213

11.072405

11.438082

11.121394

11.105374

12.062988

11.588436

0903.2732

Diego S\'aez-G\'omez

Emilio Elizalde, Diego S\'aez-G\'omez

F(R) cosmology in presence of a phantom fluid and its scalar-tensor counterpart:towards a unified precision model of the universe evolution

13 pages, 4 figures. Version published in PRD

Phys.Rev.D80:044030,2009

10.1103/PhysRevD.80.044030

null

hep-th astro-ph.CO

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

The behavior of cosmological evolution is studied in the case when a phantom fluid, that contributes to the universe accelerated expansion, is introduced in an F (R) model. At the early stages of the universe history, the dark fluid is seen to give rise to a deceleration of its expansion. For t close to present time it works as an additional contribution to the effective cosmological constant and, later, it produces the transition to a phantom era, which could actually be taking place right now in some regions of the cosmos, and might have observable consequences. For t close to the Rip time, the universe becomes completely dominated by the dark fluid, whose equation of state is phantom-like at that time. Our model, which is able to reproduce the dark energy period quite precisely, may still be modified in such a way that the epoch dominated by an effective cosmological constant, produced by the F (R) term and by the dark fluid contribution, becomes significantly shorter, what happens when a matter term is included. The dark fluid with phantom behavior gives rise to a super-accelerated phase, as compared with the case where just the viable F (R) term contributes. It is also seen explicitly that an F (R) theory can be constructed from a phantom model in a scalar-tensor theory, in which the scalar field does not behave as phantom (in the latter case the action for F (R) would be complex). Promising F (R) models which can cross the phantom divide in a convenient way are constructed explicitly.

[ { "created": "Mon, 16 Mar 2009 15:04:44 GMT", "version": "v1" }, { "created": "Mon, 14 Sep 2009 10:55:43 GMT", "version": "v2" }, { "created": "Thu, 14 Jul 2011 20:07:00 GMT", "version": "v3" } ]

2011-07-18

[ [ "Elizalde", "Emilio", "" ], [ "Sáez-Gómez", "Diego", "" ] ]

The behavior of cosmological evolution is studied in the case when a phantom fluid, that contributes to the universe accelerated expansion, is introduced in an F (R) model. At the early stages of the universe history, the dark fluid is seen to give rise to a deceleration of its expansion. For t close to present time it works as an additional contribution to the effective cosmological constant and, later, it produces the transition to a phantom era, which could actually be taking place right now in some regions of the cosmos, and might have observable consequences. For t close to the Rip time, the universe becomes completely dominated by the dark fluid, whose equation of state is phantom-like at that time. Our model, which is able to reproduce the dark energy period quite precisely, may still be modified in such a way that the epoch dominated by an effective cosmological constant, produced by the F (R) term and by the dark fluid contribution, becomes significantly shorter, what happens when a matter term is included. The dark fluid with phantom behavior gives rise to a super-accelerated phase, as compared with the case where just the viable F (R) term contributes. It is also seen explicitly that an F (R) theory can be constructed from a phantom model in a scalar-tensor theory, in which the scalar field does not behave as phantom (in the latter case the action for F (R) would be complex). Promising F (R) models which can cross the phantom divide in a convenient way are constructed explicitly.

10.712487

11.548306

11.099517

10.608755

11.617253

11.195107

11.608199

10.941169

11.0912

11.422181

10.754631

10.644389

10.529797

10.485389

10.492774

10.803282

10.916162

10.665494

10.572136

10.446916

10.600201

1310.2247

Shira Chapman Ms.

Shira Chapman, Carlos Hoyos, Yaron Oz

Superfluid Kubo Formulas from Partition Function

41 pages, 4 appendixes

JHEP 1404 (2014) 186

10.1007/JHEP04(2014)186

null

hep-th cond-mat.supr-con

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

Linear response theory relates hydrodynamic transport coefficients to equilibrium retarded correlation functions of the stress-energy tensor and global symmetry currents in terms of Kubo formulas. Some of these transport coefficients are non-dissipative and affect the fluid dynamics at equilibrium. We present an algebraic framework for deriving Kubo formulas for such thermal transport coefficients by using the equilibrium partition function. We use the framework to derive Kubo formulas for all such transport coefficients of superfluids, as well as to rederive Kubo formulas for various normal fluid systems.

[ { "created": "Tue, 8 Oct 2013 20:00:04 GMT", "version": "v1" } ]

2014-10-13

[ [ "Chapman", "Shira", "" ], [ "Hoyos", "Carlos", "" ], [ "Oz", "Yaron", "" ] ]

Linear response theory relates hydrodynamic transport coefficients to equilibrium retarded correlation functions of the stress-energy tensor and global symmetry currents in terms of Kubo formulas. Some of these transport coefficients are non-dissipative and affect the fluid dynamics at equilibrium. We present an algebraic framework for deriving Kubo formulas for such thermal transport coefficients by using the equilibrium partition function. We use the framework to derive Kubo formulas for all such transport coefficients of superfluids, as well as to rederive Kubo formulas for various normal fluid systems.

7.967889

7.303139

8.666356

7.169421

7.241973

7.557328

7.635962

7.022564

6.987285

7.456043

7.453853

7.039792

7.733387

7.181049

6.999945

7.508087

7.020203

7.438979

6.999421

7.68309

7.318991

hep-th/0303111

Rolf Schimmrigk

Monika Lynker, Vipul Periwal, Rolf Schimmrigk

Complex Multiplication Symmetry of Black Hole Attractors

28 pages

Nucl.Phys.B667:484-504,2003

10.1016/S0550-3213(03)00454-1

null

hep-th

null

We show how Moore's observation, in the context of toroidal compactifications in type IIB string theory, concerning the complex multiplication structure of black hole attractor varieties, can be generalized to Calabi-Yau compactifications with finite fundamental groups. This generalization leads to an alternative general framework in terms of motives associated to a Calabi-Yau variety in which it is possible to address the arithmetic nature of the attractor varieties in a universal way via Deligne's period conjecture.

[ { "created": "Wed, 12 Mar 2003 17:56:19 GMT", "version": "v1" } ]

2010-11-19

[ [ "Lynker", "Monika", "" ], [ "Periwal", "Vipul", "" ], [ "Schimmrigk", "Rolf", "" ] ]

We show how Moore's observation, in the context of toroidal compactifications in type IIB string theory, concerning the complex multiplication structure of black hole attractor varieties, can be generalized to Calabi-Yau compactifications with finite fundamental groups. This generalization leads to an alternative general framework in terms of motives associated to a Calabi-Yau variety in which it is possible to address the arithmetic nature of the attractor varieties in a universal way via Deligne's period conjecture.

11.341891

11.024072

12.244443

9.942104

10.396759

10.070567

10.479098

10.619502

10.311432

12.790979

10.250044

10.005946

11.25168

10.376373

10.073043

10.056061

9.588774

10.506189

10.361773

10.510195

9.973923

hep-th/0203261

Antonio Paulo Baeta Scarpelli

M. Sampaio, A. P. Baeta Scarpelli, B. Hiller, A. Brizola, M. C. Nemes, S. Gobira

Comparing Implicit, Differential, Dimensional and BPHZ Renormalisation

21 pages, 2 figures, latex

Phys.Rev. D65 (2002) 125023

10.1103/PhysRevD.65.125023

null

hep-th

null

We compare a momentum space implicit regularisation (IR) framework with other renormalisation methods which may be applied to dimension specific theories, namely Differential Renormalisation (DfR) and the BPHZ formalism. In particular, we define what is meant by minimal subtraction in IR in connection with DfR and dimensional renormalisation (DR) .We illustrate with the calculation of the gluon self energy a procedure by which a constrained version of IR automatically ensures gauge invariance at one loop level and handles infrared divergences in a straightforward fashion. Moreover, using the $\phi^4_4$ theory setting sun diagram as an example and comparing explicitly with the BPHZ framework, we show that IR directly displays the finite part of the amplitudes. We then construct a parametrization for the ambiguity in separating the infinite and finite parts whose parameter serves as renormalisation group scale for the Callan-Symanzik equation. Finally we argue that constrained IR, constrained DfR and dimensional reduction are equivalent within one loop order.

[ { "created": "Thu, 28 Mar 2002 00:06:29 GMT", "version": "v1" } ]

2013-05-29

[ [ "Sampaio", "M.", "" ], [ "Scarpelli", "A. P. Baeta", "" ], [ "Hiller", "B.", "" ], [ "Brizola", "A.", "" ], [ "Nemes", "M. C.", "" ], [ "Gobira", "S.", "" ] ]

We compare a momentum space implicit regularisation (IR) framework with other renormalisation methods which may be applied to dimension specific theories, namely Differential Renormalisation (DfR) and the BPHZ formalism. In particular, we define what is meant by minimal subtraction in IR in connection with DfR and dimensional renormalisation (DR) .We illustrate with the calculation of the gluon self energy a procedure by which a constrained version of IR automatically ensures gauge invariance at one loop level and handles infrared divergences in a straightforward fashion. Moreover, using the $\phi^4_4$ theory setting sun diagram as an example and comparing explicitly with the BPHZ framework, we show that IR directly displays the finite part of the amplitudes. We then construct a parametrization for the ambiguity in separating the infinite and finite parts whose parameter serves as renormalisation group scale for the Callan-Symanzik equation. Finally we argue that constrained IR, constrained DfR and dimensional reduction are equivalent within one loop order.

14.525049

14.442333

13.641026

13.176069

14.081041

14.225044

13.703954

13.81764

12.749277

13.544143

13.065138

13.57029

13.229964

13.263781

13.713804

13.558601

13.612863

13.394383

13.378082

13.274653

13.846745

hep-th/0009220

Kazakov K.

Kirill A. Kazakov

On the notion of potential in quantum gravity

LaTex 2.09, 16 pages, 5 ps figures

Phys.Rev.D63:044004,2001

10.1103/PhysRevD.63.044004

null

hep-th

null

The problem of consistent definition of the quantum corrected gravitational field is considered in the framework of the $S$-matrix method. Gauge dependence of the one-particle-reducible part of the two-scalar-particle scattering amplitude, with the help of which the potential is usually defined, is investigated at the one-loop approximation. The $1/r^2$-terms in the potential, which are of zero order in the Planck constant $\hbar,$ are shown to be independent of the gauge parameter weighting the gauge condition in the action. However, the $1/r^3$-terms, proportional to $\hbar,$ describing the first proper quantum correction, are proved to be gauge-dependent. With the help of the Slavnov identities, their dependence on the weighting parameter is calculated explicitly. The reason the gauge dependence originates from is briefly discussed.

[ { "created": "Wed, 27 Sep 2000 09:59:11 GMT", "version": "v1" } ]

2008-11-26

[ [ "Kazakov", "Kirill A.", "" ] ]

The problem of consistent definition of the quantum corrected gravitational field is considered in the framework of the $S$-matrix method. Gauge dependence of the one-particle-reducible part of the two-scalar-particle scattering amplitude, with the help of which the potential is usually defined, is investigated at the one-loop approximation. The $1/r^2$-terms in the potential, which are of zero order in the Planck constant $\hbar,$ are shown to be independent of the gauge parameter weighting the gauge condition in the action. However, the $1/r^3$-terms, proportional to $\hbar,$ describing the first proper quantum correction, are proved to be gauge-dependent. With the help of the Slavnov identities, their dependence on the weighting parameter is calculated explicitly. The reason the gauge dependence originates from is briefly discussed.

8.769331

9.030228

8.683113

8.509953

8.940696

8.795159

8.629719

8.727981

7.894845

10.00758

8.318567

8.198713

8.351527

8.332247

8.4502

8.561878

8.336409

8.420311

8.226937

8.598078

8.181295

1306.3232

John Kehayias

Anthony Aguirre and John Kehayias

Quantum Instability of the Emergent Universe

7 pages; v2: very minor changes, matches version published in PRD

Phys. Rev. D 88, 103504 (2013)

10.1103/PhysRevD.88.103504

IPMU13-0121

hep-th astro-ph.CO gr-qc

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

We perform a semi-classical analysis of the Emergent Universe scenario for inflation. Fixing the background, and taking the inflaton to be homogenous, we cast the inflaton's evolution as a one-dimensional quantum mechanics problem. We find that the tuning required over a long time scale for this inflationary scenario is unstable quantum mechanically. Considering the inflaton field value as a wavepacket, the spreading of the wavepacket destroys any chance of both starting and ending with a well-formed state. Thus, one cannot have an Einstein static universe to begin with that evolves into a well-defined beginning to inflation a long time later.

[ { "created": "Thu, 13 Jun 2013 20:00:06 GMT", "version": "v1" }, { "created": "Tue, 19 Nov 2013 02:30:50 GMT", "version": "v2" } ]

2013-11-20

[ [ "Aguirre", "Anthony", "" ], [ "Kehayias", "John", "" ] ]

We perform a semi-classical analysis of the Emergent Universe scenario for inflation. Fixing the background, and taking the inflaton to be homogenous, we cast the inflaton's evolution as a one-dimensional quantum mechanics problem. We find that the tuning required over a long time scale for this inflationary scenario is unstable quantum mechanically. Considering the inflaton field value as a wavepacket, the spreading of the wavepacket destroys any chance of both starting and ending with a well-formed state. Thus, one cannot have an Einstein static universe to begin with that evolves into a well-defined beginning to inflation a long time later.

14.35195

15.239308

15.166351

13.920927

16.929504

17.548262

16.337137

14.088714

14.387519

15.523726

14.378192

14.748482

13.980621

13.796743

13.997349

14.471282

14.159868

14.019548

14.867682

14.286978

13.448606

2107.04039

Sven Krippendorf

Sven Krippendorf, Rene Kroepsch, Marc Syvaeri

Revealing systematics in phenomenologically viable flux vacua with reinforcement learning

30 pages, 12 figures, 2 tables

null

LMU-ASC 20/21, MPP-2021-108

hep-th physics.comp-ph

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

The organising principles underlying the structure of phenomenologically viable string vacua can be accessed by sampling such vacua. In many cases this is prohibited by the computational cost of standard sampling methods in the high dimensional model space. Here we show how this problem can be alleviated using reinforcement learning techniques to explore string flux vacua. We demonstrate in the case of the type IIB flux landscape that vacua with requirements on the expectation value of the superpotential and the string coupling can be sampled significantly faster by using reinforcement learning than by using metropolis or random sampling. Our analysis is on conifold and symmetric torus background geometries. We show that reinforcement learning is able to exploit successful strategies for identifying such phenomenologically interesting vacua. The strategies are interpretable and reveal previously unknown correlations in the flux landscape.

[ { "created": "Thu, 8 Jul 2021 18:00:00 GMT", "version": "v1" } ]

2021-07-12

[ [ "Krippendorf", "Sven", "" ], [ "Kroepsch", "Rene", "" ], [ "Syvaeri", "Marc", "" ] ]

The organising principles underlying the structure of phenomenologically viable string vacua can be accessed by sampling such vacua. In many cases this is prohibited by the computational cost of standard sampling methods in the high dimensional model space. Here we show how this problem can be alleviated using reinforcement learning techniques to explore string flux vacua. We demonstrate in the case of the type IIB flux landscape that vacua with requirements on the expectation value of the superpotential and the string coupling can be sampled significantly faster by using reinforcement learning than by using metropolis or random sampling. Our analysis is on conifold and symmetric torus background geometries. We show that reinforcement learning is able to exploit successful strategies for identifying such phenomenologically interesting vacua. The strategies are interpretable and reveal previously unknown correlations in the flux landscape.

13.017877

12.370996

12.239858

11.550552

12.873606

12.538852

12.627605

12.203256

11.760598

12.819173

11.744663

11.617203

11.787219

11.486294

11.784387

11.802899

11.596918

11.950869

11.502345

12.00544

11.768879

hep-th/0504186

Janos Balog

J. Balog and A. Hegedus

TBA equations for the mass gap in the O(2r) non-linear sigma-models

24 pages, LaTeX

Nucl.Phys. B725 (2005) 531-553

10.1016/j.nuclphysb.2005.07.032

null

hep-th

null

We propose TBA integral equations for 1-particle states in the O(n) non-linear sigma-model for even n. The equations are conjectured on the basis of the analytic properties of the large volume asymptotics of the problem, which is explicitly constructed starting from Luscher's asymptotic formula. For small volumes the mass gap values computed numerically from the TBA equations agree very well with results of three-loop perturbation theory calculations, providing support for the validity of the proposed TBA system.

[ { "created": "Fri, 22 Apr 2005 09:29:45 GMT", "version": "v1" } ]

2009-11-11

[ [ "Balog", "J.", "" ], [ "Hegedus", "A.", "" ] ]

We propose TBA integral equations for 1-particle states in the O(n) non-linear sigma-model for even n. The equations are conjectured on the basis of the analytic properties of the large volume asymptotics of the problem, which is explicitly constructed starting from Luscher's asymptotic formula. For small volumes the mass gap values computed numerically from the TBA equations agree very well with results of three-loop perturbation theory calculations, providing support for the validity of the proposed TBA system.

9.312842

7.959869

10.862012

8.150361

9.250688

8.608859

8.788917

7.982219

8.186757

11.501832

8.738827

8.765226

9.412782

8.823108

8.62239

8.742506

9.075291

8.512599

8.63925

9.386601

8.947224

0807.0225

Gianluca Calcagni

Stephon H.S. Alexander, Gianluca Calcagni

Quantum gravity as a Fermi liquid

45 pages, 1 figure; v2: discussion improved, version accepted by Found. Phys

Found.Phys.38:1148-1184,2008

10.1007/s10701-008-9257-6

IGC-08/6-6

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

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

We present a reformulation of loop quantum gravity with a cosmological constant and no matter as a Fermi-liquid theory. When the topological sector is deformed and large gauge symmetry is broken, we show that the Chern-Simons state reduces to Jacobson's degenerate sector describing 1+1 dimensional propagating fermions with nonlocal interactions. The Hamiltonian admits a dual description which we realize in the simple BCS model of superconductivity. On one hand, Cooper pairs are interpreted as wormhole correlations at the de Sitter horizon; their number yields the de Sitter entropy. On the other hand, BCS is mapped into a deformed conformal field theory reproducing the structure of quantum spin networks. When area measurements are performed, Cooper-pair insertions are activated on those edges of the spin network intersecting the given area, thus providing a description of quantum measurements in terms of excitations of a Fermi sea to superconducting levels. The cosmological constant problem is naturally addressed as a nonperturbative mass-gap effect of the true Fermi-liquid vacuum.

[ { "created": "Tue, 1 Jul 2008 20:01:06 GMT", "version": "v1" }, { "created": "Fri, 21 Nov 2008 14:32:53 GMT", "version": "v2" } ]

2008-12-18

[ [ "Alexander", "Stephon H. S.", "" ], [ "Calcagni", "Gianluca", "" ] ]

We present a reformulation of loop quantum gravity with a cosmological constant and no matter as a Fermi-liquid theory. When the topological sector is deformed and large gauge symmetry is broken, we show that the Chern-Simons state reduces to Jacobson's degenerate sector describing 1+1 dimensional propagating fermions with nonlocal interactions. The Hamiltonian admits a dual description which we realize in the simple BCS model of superconductivity. On one hand, Cooper pairs are interpreted as wormhole correlations at the de Sitter horizon; their number yields the de Sitter entropy. On the other hand, BCS is mapped into a deformed conformal field theory reproducing the structure of quantum spin networks. When area measurements are performed, Cooper-pair insertions are activated on those edges of the spin network intersecting the given area, thus providing a description of quantum measurements in terms of excitations of a Fermi sea to superconducting levels. The cosmological constant problem is naturally addressed as a nonperturbative mass-gap effect of the true Fermi-liquid vacuum.

12.259819

13.38064

13.181333

12.311583

13.832691

14.178108

12.984124

12.856264

13.135886

13.426008

13.399585

12.499955

12.710214

12.099897

12.498638

12.628051

11.828794

12.551229

12.128473

12.983552

12.170516

hep-th/9203032

Roger Brooks

Relating Scattering Amplitudes in Bosonic and Topological String Theories

9 pages

Phys.Lett. B289 (1992) 317-320

10.1016/0370-2693(92)91225-X

null

hep-th

null

A formal relationship between scattering amplitudes in critical bosonic string theory and correlation functions of operators in topological string theory is found.

[ { "created": "Wed, 11 Mar 1992 22:46:00 GMT", "version": "v1" } ]

2016-09-06

[ [ "Brooks", "Roger", "" ] ]

A formal relationship between scattering amplitudes in critical bosonic string theory and correlation functions of operators in topological string theory is found.

17.193502

8.555675

13.581275

8.794998

6.873952

8.419058

9.198551

9.319805

9.388238

12.413452

8.318559

10.523713

13.284427

9.859518

9.351724

10.039999

9.732585

9.456158

9.57539

12.645745

8.780654

hep-th/0412231

Hugo Reinhardt

D. Epple, C. Feuchter, H. Reinhardt

The Yang-Mills vacuum in Coulomb gauge

4 pages, 5 figures, Proceedings ``Confinement Conference Sardinia 2004''

null

10.1063/1.1920963

null

hep-th

null

The Yang-Mills Schr\"odinger equation is solved in Coulomb gauge for the vacuum by the variational principle using an ansatz for the wave functional, which is strongly peaked at the Gribov horizon. We find an infrared suppressed gluon propagator, an infrared singular ghost propagator and an almost linearly rising confinement potential. Using these solutions we calculate the electric field of static color charge distributions relevant for mesons and baryons.

[ { "created": "Mon, 20 Dec 2004 17:30:36 GMT", "version": "v1" } ]

2009-11-10

[ [ "Epple", "D.", "" ], [ "Feuchter", "C.", "" ], [ "Reinhardt", "H.", "" ] ]

The Yang-Mills Schr\"odinger equation is solved in Coulomb gauge for the vacuum by the variational principle using an ansatz for the wave functional, which is strongly peaked at the Gribov horizon. We find an infrared suppressed gluon propagator, an infrared singular ghost propagator and an almost linearly rising confinement potential. Using these solutions we calculate the electric field of static color charge distributions relevant for mesons and baryons.

9.929779

6.986885

8.422672

6.737072

6.983778

7.331598

6.528291

7.246882

6.306013

8.444255

7.341917

8.088279

8.15631

7.922794

7.812771

8.133956

7.491228

8.080972

8.092536

8.130995

7.959044

hep-th/9602056

Lorenzo Magnea

Paolo Di Vecchia, Alberto Lerda, Lorenzo Magnea, Raffaele Marotta, Rodolfo Russo

String-derived renormalization of Yang-Mills theory

11 pages. Latex, uses espcrc2.sty. Proceedings Buckow '95

Nucl.Phys.Proc.Suppl. 49 (1996) 85-95

10.1016/0920-5632(96)00321-0

DFTT 04/96

hep-th

null

We review the application of bosonic string techniques to the calculation of renormalization constants and effective actions in Yang-Mills theory. We display the multiloop string formulas needed to compute Yang-Mills amplitudes, and we discuss how the renormalizations of proper vertices can be extracted in the field theory limit. We show how string techniques lead to the background field method in field theory, and indicate how the gauge invariance of the multiloop effective action can be inferred form the string formalism. (Proceedings of the 29th International Symposium on the Theory of Elementary Particles, Buckow (Germany), Aug.-Sept. 1995. Preprint DFTT 04/96)

[ { "created": "Mon, 12 Feb 1996 13:21:15 GMT", "version": "v1" } ]

2009-10-30

[ [ "Di Vecchia", "Paolo", "" ], [ "Lerda", "Alberto", "" ], [ "Magnea", "Lorenzo", "" ], [ "Marotta", "Raffaele", "" ], [ "Russo", "Rodolfo", "" ] ]

We review the application of bosonic string techniques to the calculation of renormalization constants and effective actions in Yang-Mills theory. We display the multiloop string formulas needed to compute Yang-Mills amplitudes, and we discuss how the renormalizations of proper vertices can be extracted in the field theory limit. We show how string techniques lead to the background field method in field theory, and indicate how the gauge invariance of the multiloop effective action can be inferred form the string formalism. (Proceedings of the 29th International Symposium on the Theory of Elementary Particles, Buckow (Germany), Aug.-Sept. 1995. Preprint DFTT 04/96)

8.961514

7.329966

10.222321

7.448907

7.968192

8.617424

8.23496

7.604669

7.521905

9.530258

7.693149

7.613736

7.973821

7.77617

7.800725

7.843323

7.887711

7.61973

7.665155

8.225821

7.709279

0805.1917

Ren\'e Meyer

Martin Ammon, Johanna Erdmenger, Stephan H\"ohne, Dieter Lust, Rene Meyer

Fayet-Iliopoulos Terms in AdS/CFT with Flavour

31 pages, 2 figures, JHEP 3 style, v2: References added, final published version

JHEP 0807:068,2008

10.1088/1126-6708/2008/07/068

MPP-2008-40, LMU-ASC 27/08

hep-th hep-ph

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

We construct the gravity dual of a field theory with flavour in which there are Fayet-Iliopoulos (FI) terms present. For this purpose we turn on a constant Kalb-Ramond B field in four internal space directions of AdS_5 x S^5 together with a D7 brane probe wrapping AdS_5 x S^3. The B field induces noncommutativity on the four internal directions of the D7 brane probe perpendicular to the AdS boundary. We argue on general grounds that the moduli space of the Higgs part of mixed Coulomb-Higgs states in the dual field theory at the boundary is described by the ADHM equations for noncommutative instantons on the four internal directions of the D7 brane probe. In particular, the global symmetries match. The FI term arises as the holographic dual of an anti-selfdual B field. We discuss possible applications for this construction.

[ { "created": "Tue, 13 May 2008 19:57:17 GMT", "version": "v1" }, { "created": "Wed, 27 Aug 2008 08:52:48 GMT", "version": "v2" } ]

2010-05-28

[ [ "Ammon", "Martin", "" ], [ "Erdmenger", "Johanna", "" ], [ "Höhne", "Stephan", "" ], [ "Lust", "Dieter", "" ], [ "Meyer", "Rene", "" ] ]

We construct the gravity dual of a field theory with flavour in which there are Fayet-Iliopoulos (FI) terms present. For this purpose we turn on a constant Kalb-Ramond B field in four internal space directions of AdS_5 x S^5 together with a D7 brane probe wrapping AdS_5 x S^3. The B field induces noncommutativity on the four internal directions of the D7 brane probe perpendicular to the AdS boundary. We argue on general grounds that the moduli space of the Higgs part of mixed Coulomb-Higgs states in the dual field theory at the boundary is described by the ADHM equations for noncommutative instantons on the four internal directions of the D7 brane probe. In particular, the global symmetries match. The FI term arises as the holographic dual of an anti-selfdual B field. We discuss possible applications for this construction.

8.010841

7.422772

9.434794

7.173635

7.842928

7.511862

7.596806

7.028831

7.322323

10.171967

7.477224

7.736338

8.144246

7.776503

7.849176

7.543102

7.711719

7.644751

7.840771

8.435305

7.537202

hep-th/0401044

Branko Dragovich

Some p-Adic Aspects of Superanalysis

7 pages, to be published in the Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'03, 24-29 July 2003, Dubna, Russia), JINR Publishing

null

hep-th

null

A brief review of a superanalysis over real and $p$-adic superspaces is presented. Adelic superspace is introduced and an adelic superanalysis, which contains real and $p$-adic superanalysis, is initiated.

[ { "created": "Thu, 8 Jan 2004 12:21:03 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dragovich", "Branko", "" ] ]

A brief review of a superanalysis over real and $p$-adic superspaces is presented. Adelic superspace is introduced and an adelic superanalysis, which contains real and $p$-adic superanalysis, is initiated.

10.573441

7.061936

8.208038

7.924917

9.627989

7.670715

7.737036

8.165184

8.006988

9.046371

7.116298

7.370413

8.594802

7.577331

7.699004

7.744988

7.158195

7.464892

7.965817

8.03219

7.272395

1711.02735

Wukongjiaozi Tian

Oleg Lunin and Wukongjiaozi Tian

Analytical Structure of the Generalized $\lambda-$deformation

v2: 27 pages, minor additions

null

10.1016/j.nuclphysb.2018.02.014

null

hep-th

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

We explore the analytical structure of the generalized $\lambda$-deformation of AdS_p x S^p spaces and construct new integrable backgrounds which depend on (p+1) continuous parameters.

[ { "created": "Tue, 7 Nov 2017 21:37:57 GMT", "version": "v1" }, { "created": "Fri, 22 Dec 2017 21:38:28 GMT", "version": "v2" } ]

2018-04-04

[ [ "Lunin", "Oleg", "" ], [ "Tian", "Wukongjiaozi", "" ] ]

We explore the analytical structure of the generalized $\lambda$-deformation of AdS_p x S^p spaces and construct new integrable backgrounds which depend on (p+1) continuous parameters.

14.457154

9.882406

16.684868

11.393565

12.107121

12.529847

14.466393

10.499721

10.460858

15.192996

9.930492

11.38689

14.519629

11.797857

11.088889

10.969382

11.376719

11.818555

10.767415

13.795309

10.971755

1403.7507

Timo Weigand

Eran Palti and Timo Weigand

Towards large r from [p,q]-inflation

8 pp; v2: references added, typos corrected

null

10.1007/JHEP04(2014)155

null

hep-th hep-ph

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

The recent discovery of B-mode polarizations in the CMB by the BICEP2 collaboration motivates the study of large-field inflation models which can naturally lead to significant tensor-to-scalar ratios. A class of such models in string theory are axion monodromy models, where the shift symmetry of an axion is broken by some branes. In type IIB string theory such models so far utilized NS5 branes which lead to a linear potential with an induced tensor-to-scalar ratio of $r \sim 0.07$. In this short note we study a modification of the scenario to include [p,q] 7-branes and show that this leads to an enhanced tensor-to-scalar ratio $r \sim 0.14$. Unlike 5-branes, 7-branes are in-principle compatible with supersymmetry, however we find that an implementation of the inflationary scenario requires an explicit breaking of supersymmetry by the 7-branes during inflation. This leads to similar challenges as in 5-brane models. We discuss the relation to high-scale supersymmetry breaking after inflation.

[ { "created": "Fri, 28 Mar 2014 19:31:57 GMT", "version": "v1" }, { "created": "Thu, 3 Apr 2014 09:10:52 GMT", "version": "v2" } ]

2015-06-19

[ [ "Palti", "Eran", "" ], [ "Weigand", "Timo", "" ] ]

The recent discovery of B-mode polarizations in the CMB by the BICEP2 collaboration motivates the study of large-field inflation models which can naturally lead to significant tensor-to-scalar ratios. A class of such models in string theory are axion monodromy models, where the shift symmetry of an axion is broken by some branes. In type IIB string theory such models so far utilized NS5 branes which lead to a linear potential with an induced tensor-to-scalar ratio of $r \sim 0.07$. In this short note we study a modification of the scenario to include [p,q] 7-branes and show that this leads to an enhanced tensor-to-scalar ratio $r \sim 0.14$. Unlike 5-branes, 7-branes are in-principle compatible with supersymmetry, however we find that an implementation of the inflationary scenario requires an explicit breaking of supersymmetry by the 7-branes during inflation. This leads to similar challenges as in 5-brane models. We discuss the relation to high-scale supersymmetry breaking after inflation.

6.182552

6.354719

6.089241

5.85071

6.100315

6.104474

6.44832

6.138587

6.154103

6.457926

5.9109

5.901169

5.905029

5.874336

5.890968

5.875259

5.943308

5.766292

5.829902

5.863138

5.771369

2008.12311

Robert Pryor

The Exact Low Energy Effective action of $\mathcal{N}=2$ SYM via Seiberg-Witten Theory and Localisation

68 pages, 6 figures. Thesis submitted for the degree of Master of Science

null

hep-th

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

In the mid 1990's Seiberg and Witten determined the exact low energy effective action of $\mathcal{N}=2$ supersymmetric Yang-Mills theory with gauge group $SU(2)$. Later, in the early 2000's Nekrasov calculated this action directly using localisation techniques. This work serves as an introduction to the area, developing both approaches and reconciling their results.

[ { "created": "Thu, 27 Aug 2020 18:00:21 GMT", "version": "v1" } ]

2020-08-31

[ [ "Pryor", "Robert", "" ] ]

In the mid 1990's Seiberg and Witten determined the exact low energy effective action of $\mathcal{N}=2$ supersymmetric Yang-Mills theory with gauge group $SU(2)$. Later, in the early 2000's Nekrasov calculated this action directly using localisation techniques. This work serves as an introduction to the area, developing both approaches and reconciling their results.

6.679008

6.010045

6.902755

5.360462

5.826299

5.72554

5.308193

5.348214

5.049756

7.223331

5.128482

5.158928

6.088006

5.19189

5.347898

5.072964

5.547187

5.496477

5.284848

5.733406

4.844636

1607.01873

Kazuya Yonekura

Dai-Freed theorem and topological phases of matter

33 pages, 2 figures

null

10.1007/JHEP09(2016)022

IPMU-16-0094

hep-th cond-mat.str-el

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

We describe a physics derivation of theorems due to Dai and Freed about the Atiyah-Patodi-Singer eta-invariant which is important for anomalies and topological phases of matter. This is done by studying a massive fermion. The key role is played by the wave function of the ground state in the Hilbert space of the fermion in the large mass limit. The ground state takes values in the determinant line bundle and has nontrivial Berry phases which characterize the low energy topological phases.

[ { "created": "Thu, 7 Jul 2016 04:51:16 GMT", "version": "v1" } ]

2016-09-21

[ [ "Yonekura", "Kazuya", "" ] ]

We describe a physics derivation of theorems due to Dai and Freed about the Atiyah-Patodi-Singer eta-invariant which is important for anomalies and topological phases of matter. This is done by studying a massive fermion. The key role is played by the wave function of the ground state in the Hilbert space of the fermion in the large mass limit. The ground state takes values in the determinant line bundle and has nontrivial Berry phases which characterize the low energy topological phases.

10.007003

9.286479

11.454374

9.256935

9.82123

8.835313

9.165584

9.115542

9.469521

12.303775

9.369083

8.163632

9.872458

8.623649

8.566442

8.490635

8.490213

8.666799

8.63944

9.919914

8.647304

hep-th/0509121

Andrei Belitsky

A.V. Belitsky, G.P. Korchemsky, D. M\"uller

Integrability of two-loop dilatation operator in gauge theories

70 pages, 10 figures

Nucl.Phys. B735 (2006) 17-83

10.1016/j.nuclphysb.2005.11.015

null

hep-th hep-ph

null

We study the two-loop dilatation operator in the noncompact SL(2) sector of QCD and supersymmetric Yang-Mills theories with N=1,2,4 supercharges. The analysis is performed for Wilson operators built from three quark/gaugino fields of the same helicity belonging to the fundamental/adjoint representation of the SU(3)/SU(N_c) gauge group and involving an arbitrary number of covariant derivatives projected onto the light-cone. To one-loop order, the dilatation operator inherits the conformal symmetry of the classical theory and is given in the multi-color limit by a local Hamiltonian of the Heisenberg magnet with the spin operators being generators of the collinear subgroup of full (super)conformal group. Starting from two loops, the dilatation operator depends on the representation of the gauge group and, in addition, receives corrections stemming from the violation of the conformal symmetry. We compute its eigenspectrum and demonstrate that to two-loop order integrability survives the conformal symmetry breaking in the aforementioned gauge theories, but it is violated in QCD by the contribution of nonplanar diagrams. In SYM theories with extended supersymmetry, the N-dependence of the two-loop dilatation operator can be factorized (modulo an additive normalization constant) into a multiplicative c-number. This property makes the eigenspectrum of the two-loop dilatation operator alike in all gauge theories including the maximally supersymmetric theory. Our analysis suggests that integrability is only tied to the planar limit and it is sensitive neither to conformal symmetry nor supersymmetry.

[ { "created": "Thu, 15 Sep 2005 18:50:17 GMT", "version": "v1" }, { "created": "Tue, 11 Oct 2005 00:25:58 GMT", "version": "v2" } ]

2009-11-11

[ [ "Belitsky", "A. V.", "" ], [ "Korchemsky", "G. P.", "" ], [ "Müller", "D.", "" ] ]

We study the two-loop dilatation operator in the noncompact SL(2) sector of QCD and supersymmetric Yang-Mills theories with N=1,2,4 supercharges. The analysis is performed for Wilson operators built from three quark/gaugino fields of the same helicity belonging to the fundamental/adjoint representation of the SU(3)/SU(N_c) gauge group and involving an arbitrary number of covariant derivatives projected onto the light-cone. To one-loop order, the dilatation operator inherits the conformal symmetry of the classical theory and is given in the multi-color limit by a local Hamiltonian of the Heisenberg magnet with the spin operators being generators of the collinear subgroup of full (super)conformal group. Starting from two loops, the dilatation operator depends on the representation of the gauge group and, in addition, receives corrections stemming from the violation of the conformal symmetry. We compute its eigenspectrum and demonstrate that to two-loop order integrability survives the conformal symmetry breaking in the aforementioned gauge theories, but it is violated in QCD by the contribution of nonplanar diagrams. In SYM theories with extended supersymmetry, the N-dependence of the two-loop dilatation operator can be factorized (modulo an additive normalization constant) into a multiplicative c-number. This property makes the eigenspectrum of the two-loop dilatation operator alike in all gauge theories including the maximally supersymmetric theory. Our analysis suggests that integrability is only tied to the planar limit and it is sensitive neither to conformal symmetry nor supersymmetry.

6.770757

7.660584

8.337659

7.496012

7.879416

7.621053

7.764616

7.530746

7.194448

8.325616

6.94346

7.115677

7.16249

6.93849

7.301651

6.885433

7.156232

6.947213

6.795998

6.978845

7.064481

hep-th/0306017

Antonio Bassetto

A. Bassetto, G. De Pol and F. Vian

Two-dimensional non-commutative Yang-Mills theory: coherent effects in open Wilson line correlators

22 pages, 1 figure, typeset in JHEP style

JHEP 0306 (2003) 051

10.1088/1126-6708/2003/06/051

DFPD 03/TH 19

hep-th

null

A perturbative calculation of the correlator of three parallel open Wilson lines is performed for the U(N) theory in two non-commutative space-time dimensions. In the large-N planar limit, the perturbative series is fully resummed and asymptotically leads to an exponential increase of the correlator with the lengths of the lines, in spite of an interference effect between lines with the same orientation. This result generalizes a similar increase occurring in the two-line correlator and is likely to persist when more lines are considered provided they share the same direction.

[ { "created": "Tue, 3 Jun 2003 14:32:53 GMT", "version": "v1" } ]

2009-11-10

[ [ "Bassetto", "A.", "" ], [ "De Pol", "G.", "" ], [ "Vian", "F.", "" ] ]

A perturbative calculation of the correlator of three parallel open Wilson lines is performed for the U(N) theory in two non-commutative space-time dimensions. In the large-N planar limit, the perturbative series is fully resummed and asymptotically leads to an exponential increase of the correlator with the lengths of the lines, in spite of an interference effect between lines with the same orientation. This result generalizes a similar increase occurring in the two-line correlator and is likely to persist when more lines are considered provided they share the same direction.

9.644504

9.653616

10.663345

8.583875

9.213113

8.806483

9.044046

9.116534

8.744677

11.837328

9.05963

8.640908

9.206693

8.809911

9.337995

9.069116

8.620741

8.759859

8.959791

9.782386

8.675227

hep-th/0510117

Masato Minamitsuji

Masato Minamitsuji, Wade Naylor, Misao Sasaki

Can thick braneworlds be self-consistent?

5 pages, references added, typos corrected

Phys.Lett.B633:607-612,2006

10.1016/j.physletb.2005.12.030

YITP-05-61, RITS-PP-007

hep-th astro-ph gr-qc

null

We discuss the backreaction of a massless, minimally coupled, quantized scalar field on a thick, two-dimensional de Sitter (dS) brane as an extension of our previous work. We show that a finite brane thickness naturally regularizes the backreaction on the brane. The quantum backreaction exhibits a quadratic divergence in the thin wall limit. We also give a theoretical bound on the brane thickness, in terms of the brane self-consistency of the quantum corrected Einstein equation, namely the requirement that the size of the backreaction should be smaller than that of the background stress-energy at the center of the brane. Finally, we discuss the brane self-consistency for the case of a four-dimensional dS brane.

[ { "created": "Fri, 14 Oct 2005 14:42:34 GMT", "version": "v1" }, { "created": "Tue, 25 Oct 2005 09:45:24 GMT", "version": "v2" } ]

2010-11-05

[ [ "Minamitsuji", "Masato", "" ], [ "Naylor", "Wade", "" ], [ "Sasaki", "Misao", "" ] ]

We discuss the backreaction of a massless, minimally coupled, quantized scalar field on a thick, two-dimensional de Sitter (dS) brane as an extension of our previous work. We show that a finite brane thickness naturally regularizes the backreaction on the brane. The quantum backreaction exhibits a quadratic divergence in the thin wall limit. We also give a theoretical bound on the brane thickness, in terms of the brane self-consistency of the quantum corrected Einstein equation, namely the requirement that the size of the backreaction should be smaller than that of the background stress-energy at the center of the brane. Finally, we discuss the brane self-consistency for the case of a four-dimensional dS brane.

7.190272

7.299066

6.797744

6.469791

6.899527

6.62383

6.888554

5.932998

6.583188

7.23611

6.892861

7.019799

7.038109

6.88827

7.005471

6.96411

7.002119

6.65631

6.940041

7.049044

6.903142

1706.01299

Johannes Bl\"umlein

J. Ablinger, J. Bl\"umlein, A. De Freitas, M. van Hoeij, E. Imamoglu, C.G. Raab, C.-S. Radu, and C. Schneider

Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams

68 pages LATEX, 10 Figures

null

10.1063/1.4986417

DESY 16--147, DO--TH 16/14

hep-th cs.SC hep-ph math-ph math.AG math.MP

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

We calculate 3-loop master integrals for heavy quark correlators and the 3-loop QCD corrections to the $\rho$-parameter. They obey non-factorizing differential equations of second order with more than three singularities, which cannot be factorized in Mellin-$N$ space either. The solution of the homogeneous equations is possible in terms of convergent close integer power series as $_2F_1$ Gau\ss{} hypergeometric functions at rational argument. In some cases, integrals of this type can be mapped to complete elliptic integrals at rational argument. This class of functions appears to be the next one arising in the calculation of more complicated Feynman integrals following the harmonic polylogarithms, generalized polylogarithms, cyclotomic harmonic polylogarithms, square-root valued iterated integrals, and combinations thereof, which appear in simpler cases. The inhomogeneous solution of the corresponding differential equations can be given in terms of iterative integrals, where the new innermost letter itself is not an iterative integral. A new class of iterative integrals is introduced containing letters in which (multiple) definite integrals appear as factors. For the elliptic case, we also derive the solution in terms of integrals over modular functions and also modular forms, using $q$-product and series representations implied by Jacobi's $\vartheta_i$ functions and Dedekind's $\eta$-function. The corresponding representations can be traced back to polynomials out of Lambert--Eisenstein series, having representations also as elliptic polylogarithms, a $q$-factorial $1/\eta^k(\tau)$, logarithms and polylogarithms of $q$ and their $q$-integrals. Due to the specific form of the physical variable $x(q)$ for different processes, different representations do usually appear. Numerical results are also presented.

[ { "created": "Mon, 5 Jun 2017 12:52:32 GMT", "version": "v1" } ]

2018-08-01

[ [ "Ablinger", "J.", "" ], [ "Blümlein", "J.", "" ], [ "De Freitas", "A.", "" ], [ "van Hoeij", "M.", "" ], [ "Imamoglu", "E.", "" ], [ "Raab", "C. G.", "" ], [ "Radu", "C. -S.", "" ], [ "Schneider", "C.", "" ] ]

We calculate 3-loop master integrals for heavy quark correlators and the 3-loop QCD corrections to the $\rho$-parameter. They obey non-factorizing differential equations of second order with more than three singularities, which cannot be factorized in Mellin-$N$ space either. The solution of the homogeneous equations is possible in terms of convergent close integer power series as $_2F_1$ Gau\ss{} hypergeometric functions at rational argument. In some cases, integrals of this type can be mapped to complete elliptic integrals at rational argument. This class of functions appears to be the next one arising in the calculation of more complicated Feynman integrals following the harmonic polylogarithms, generalized polylogarithms, cyclotomic harmonic polylogarithms, square-root valued iterated integrals, and combinations thereof, which appear in simpler cases. The inhomogeneous solution of the corresponding differential equations can be given in terms of iterative integrals, where the new innermost letter itself is not an iterative integral. A new class of iterative integrals is introduced containing letters in which (multiple) definite integrals appear as factors. For the elliptic case, we also derive the solution in terms of integrals over modular functions and also modular forms, using $q$-product and series representations implied by Jacobi's $\vartheta_i$ functions and Dedekind's $\eta$-function. The corresponding representations can be traced back to polynomials out of Lambert--Eisenstein series, having representations also as elliptic polylogarithms, a $q$-factorial $1/\eta^k(\tau)$, logarithms and polylogarithms of $q$ and their $q$-integrals. Due to the specific form of the physical variable $x(q)$ for different processes, different representations do usually appear. Numerical results are also presented.

3.070606

11.08193

9.763487

8.922859

10.466779

10.417706

10.236878

10.717647

9.322763

10.979775

9.221741

8.077595

7.314566

6.598457

8.060197

7.734398

8.116442

7.555961

7.938251

7.963793

7.209343

1210.2817

Carlos Shahbazi

Pablo Bueno, Rhys Davies and C. S. Shahbazi

Quantum black holes in Type-IIA String Theory

17 pages. References added. Explanation of the truncation improved

null

10.1007/JHEP01(2013)089

IFT-UAM/CSIC-12-9

hep-th gr-qc math.AG

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

We study black hole solutions of Type-IIA Calabi-Yau compactifications in the presence of perturbative quantum corrections. We define a class of black holes that only exist in the presence of quantum corrections and that, consequently, can be considered as purely quantum black holes. The regularity conditions of the solutions impose the topological constraint h^{1,1}>h^{2,1} on the Calabi-Yau manifold, defining a class of admissible compactifications, which we prove to be non-empty for h^{1,1}=3 by explicitly constructing the corresponding Calabi-Yau manifolds, new in the literature.

[ { "created": "Wed, 10 Oct 2012 07:05:12 GMT", "version": "v1" }, { "created": "Tue, 6 Nov 2012 08:21:46 GMT", "version": "v2" }, { "created": "Sun, 11 Nov 2012 06:17:23 GMT", "version": "v3" }, { "created": "Sat, 15 Dec 2012 14:04:39 GMT", "version": "v4" } ]

2015-06-11

[ [ "Bueno", "Pablo", "" ], [ "Davies", "Rhys", "" ], [ "Shahbazi", "C. S.", "" ] ]

We study black hole solutions of Type-IIA Calabi-Yau compactifications in the presence of perturbative quantum corrections. We define a class of black holes that only exist in the presence of quantum corrections and that, consequently, can be considered as purely quantum black holes. The regularity conditions of the solutions impose the topological constraint h^{1,1}>h^{2,1} on the Calabi-Yau manifold, defining a class of admissible compactifications, which we prove to be non-empty for h^{1,1}=3 by explicitly constructing the corresponding Calabi-Yau manifolds, new in the literature.

6.761289

5.842151

7.078222

6.159498

6.165634

6.03046

6.037934

6.12982

5.844662

6.086521

5.841976

6.391958

6.407244

6.257072

6.254913

6.2575

6.143274

6.126565

6.011172

6.380172

6.082862

1407.3378

Francisco Navarro-Lerida

Francisco Navarro-Lerida, Eugen Radu, and D. H. Tchrakian

Generalized dyons and magnetic dipoles: the issue of angular momentum

20 pages, 14 figures

Phys. Rev. D 90, 064023 (2014)

10.1103/PhysRevD.90.064023

Preprint number DIAS-STP-14-14

hep-th gr-qc

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

It is known that a non-Abelian magnetic monopole cannot rotate globally (although it may possess a nonzero angular momentum density). At the same time, the total angular momentum of a magnetic dipole equals the electric charge. In this work we question the generality of these results by considering a number of generalizations of the Georgi-Glashow model. We study two different types of finite energy, regular configurations: solutions with net magnetic charge and monopole-antimonopole pairs with zero net magnetic charge. These configurations are endowed with an electric charge and carry also a nonvanishing angular momentum density. However, we argue that the qualitative results found in the Georgi-Glashow model are generic and thus a magnetic monopole cannot spin as long as the matter fields feature the usual "monopole" asymptotic behaviour independently of the dynamics of the model. A study of the properties of the dyons and magnetic dipoles in some generalizations of the Georgi-Glashow model supplemented with higher order Skyrme-like terms in the gauge curvature and Higgs fields is given quantitatively.

[ { "created": "Sat, 12 Jul 2014 12:18:18 GMT", "version": "v1" } ]

2015-10-16

[ [ "Navarro-Lerida", "Francisco", "" ], [ "Radu", "Eugen", "" ], [ "Tchrakian", "D. H.", "" ] ]

It is known that a non-Abelian magnetic monopole cannot rotate globally (although it may possess a nonzero angular momentum density). At the same time, the total angular momentum of a magnetic dipole equals the electric charge. In this work we question the generality of these results by considering a number of generalizations of the Georgi-Glashow model. We study two different types of finite energy, regular configurations: solutions with net magnetic charge and monopole-antimonopole pairs with zero net magnetic charge. These configurations are endowed with an electric charge and carry also a nonvanishing angular momentum density. However, we argue that the qualitative results found in the Georgi-Glashow model are generic and thus a magnetic monopole cannot spin as long as the matter fields feature the usual "monopole" asymptotic behaviour independently of the dynamics of the model. A study of the properties of the dyons and magnetic dipoles in some generalizations of the Georgi-Glashow model supplemented with higher order Skyrme-like terms in the gauge curvature and Higgs fields is given quantitatively.

8.927332

8.968126

8.90561

8.622145

9.235898

9.191027

9.444735

8.755577

8.827531

9.369283

8.646537

8.546364

8.202387

8.335859

8.652385

8.526875

8.449962

8.264171

8.564162

8.287513

8.465846

1708.01543

Antonio Pereira Jr

M. A. L. Capri, D. Fiorentini, A. D. Pereira, S. P. Sorella

Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges

25 pages, no figures

Phys. Rev. D 96, 054022 (2017)

10.1103/PhysRevD.96.054022

null

hep-th hep-lat hep-ph

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

The Refined Gribov-Zwanziger framework takes into account the existence of equivalent gauge field configurations in the gauge-fixing quantization procedure of Euclidean Yang-Mills theories. Recently, this setup was extended to the family of linear covariant gauges giving rise to a local and BRST-invariant action. In this paper, we give an algebraic proof of the renormalizability of the resulting action to all orders in perturbation theory.

[ { "created": "Fri, 4 Aug 2017 15:07:21 GMT", "version": "v1" } ]

2017-09-27

[ [ "Capri", "M. A. L.", "" ], [ "Fiorentini", "D.", "" ], [ "Pereira", "A. D.", "" ], [ "Sorella", "S. P.", "" ] ]

The Refined Gribov-Zwanziger framework takes into account the existence of equivalent gauge field configurations in the gauge-fixing quantization procedure of Euclidean Yang-Mills theories. Recently, this setup was extended to the family of linear covariant gauges giving rise to a local and BRST-invariant action. In this paper, we give an algebraic proof of the renormalizability of the resulting action to all orders in perturbation theory.

7.730378

4.751391

6.836286

4.83444

5.356583

4.809307

4.781891

4.62903

5.254176

6.836819

5.245818

5.490843

6.711754

5.931361

6.010299

5.804136

5.686689

5.628199

5.77934

6.621984

6.217338

1010.4396

Kazuo Ghoroku

Kazuo Ghoroku, Masafumi Ishihara, Kouki Kubo and Tomoki Taminato

Accelerated Quark and Holography for Confining Gauge theory

25 pages, 7 figures

Phys.Rev.D83:024020,2011

10.1103/PhysRevD.83.024020

FIT HE - 10-02

hep-th hep-ph

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

We show a constantly accelerated quark as a string solution of the Nambu-Goto action, which is embedded in the bulk background dual to the $\cal{N}$ $=2$ supersymmetric confining Yang-Mills theory. The induced metric of the world sheet for this string solution has an event horizon specified by the fifth coordinate. By an extended Rindler transformation proposed by Xiao, we move to the comoving frame of the accelerated quark-string. Then we find that this horizon is transferred to the event horizon of the bulk and the causal part of the accelerated quark is transformed to a static free-quark in the Rindler coordinate. As a result, the confinement of the Minkowski vacuum is lost in the Rindler vacuum. This point is assured also by studying the potential between the quark and anti-quark. However, the remnants of the original confining force are seen in various thermal quantities. We also discuss the consistency of our results and the claim that the Green's functions will not be changed by the Rindler transformation.

[ { "created": "Thu, 21 Oct 2010 08:34:31 GMT", "version": "v1" }, { "created": "Tue, 26 Oct 2010 01:04:56 GMT", "version": "v2" } ]

2011-02-03

[ [ "Ghoroku", "Kazuo", "" ], [ "Ishihara", "Masafumi", "" ], [ "Kubo", "Kouki", "" ], [ "Taminato", "Tomoki", "" ] ]

We show a constantly accelerated quark as a string solution of the Nambu-Goto action, which is embedded in the bulk background dual to the $\cal{N}$ $=2$ supersymmetric confining Yang-Mills theory. The induced metric of the world sheet for this string solution has an event horizon specified by the fifth coordinate. By an extended Rindler transformation proposed by Xiao, we move to the comoving frame of the accelerated quark-string. Then we find that this horizon is transferred to the event horizon of the bulk and the causal part of the accelerated quark is transformed to a static free-quark in the Rindler coordinate. As a result, the confinement of the Minkowski vacuum is lost in the Rindler vacuum. This point is assured also by studying the potential between the quark and anti-quark. However, the remnants of the original confining force are seen in various thermal quantities. We also discuss the consistency of our results and the claim that the Green's functions will not be changed by the Rindler transformation.

11.846185

11.412189

12.76369

11.25848

11.924286

12.104785

11.520292

11.857951

11.952692

12.597455

11.449702

11.389013

11.351051

11.218638

11.280286

11.533068

11.618175

11.504344

11.322168

11.469883

11.626568

hep-th/0505274

Tassilo Ott

Catching the phantom: the MSSM on the Z6-orientifold

To appear in the proceedings of RTN Workshop on the Quantum Structure of Space-time and the Geometric Nature of Fundamental Interactions and EXT Workshop on Fundamental Interactions and the Structure of Spacetime, Kolymbari, Crete, Greece, 5-10 Sep 2004

Fortsch.Phys. 53 (2005) 955-961

10.1002/prop.200410222

KUL-TF-05/10

hep-th

null

These lecture notes give a short introduction of the derivation of the supersymmetric standard model on the Z6-orientifold as published in hep-th/0404055. Untwisted and twisted cycles are constructed and one specific model is discussed in more detail.

[ { "created": "Tue, 31 May 2005 16:13:32 GMT", "version": "v1" } ]

2009-11-11

[ [ "Ott", "Tassilo", "" ] ]

These lecture notes give a short introduction of the derivation of the supersymmetric standard model on the Z6-orientifold as published in hep-th/0404055. Untwisted and twisted cycles are constructed and one specific model is discussed in more detail.

21.495831

16.23485

15.468973

15.11307

14.836231

17.636087

14.944129

14.707893

15.130881

27.602079

15.693955

16.457279

17.471899

15.195202

16.32848

16.587759

15.208654

15.242379

16.266142

18.586393

15.683171

1907.03443

Dmitry Kaparulin

D.S. Kaparulin, S.L. Lyakhovich

Unfree gauge symmetry in the BV formalism

39 pages

null

10.1140/epjc/s10052-019-7233-2

null

hep-th

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

The BV formalism is proposed for the theories where the gauge symmetry parameters are unfree, being constrained by differential equations.

[ { "created": "Mon, 8 Jul 2019 08:05:23 GMT", "version": "v1" } ]

2019-10-02

[ [ "Kaparulin", "D. S.", "" ], [ "Lyakhovich", "S. L.", "" ] ]

The BV formalism is proposed for the theories where the gauge symmetry parameters are unfree, being constrained by differential equations.

71.046341

12.70892

26.120964

17.429548

14.73293

13.963512

16.10047

16.885014

19.426737

31.570963

18.580727

23.764069

29.59972

25.231256

23.632698

22.563848

22.247551

24.147423

24.619568

29.090555

24.368231

1308.5328

Rudra Prakash Malik

S. Krishna, A. Shukla, R. P. Malik

Supervariable approach to nilpotent symmetries of a couple of N = 2 supersymmetric quantum mechanical models

LaTeX file, 19 pages, Journal reference

Canadian J. Phys. 92: 1623-1631, 2014

10.1139/cjp-2014-0047

null

hep-th

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

We derive the on-shell as well as off-shell nilpotent supersymmetric (SUSY) symmetry transformations for the N = 2 SUSY quantum mechanical model of a one (0 + 1)-dimensional (1D) free SUSY particle by exploiting the SUSY invariant restrictions (SUSYIRs) on the (anti-)chiral supervariables of the SUSY theory that is defined on a (1, 2)-dimensional supermanifold (parametrized by a bosonic variable t and a pair of Grassmannian variables \theta and \bar\theta with \theta^2 = \bar\theta^2 = 0, \theta\bar\theta + \bar\theta\theta = 0). Within the framework of our novel approach, we express the Lagrangian and conserved SUSY charges in terms of the (anti-)chiral supervariables to demonstrate the SUSY invariance of the Lagrangian as well as the nilpotency of the SUSY conserved charges in a simple manner. Our approach has the potential to be generalized to the description of other N = 2 SUSY quantum mechanical systems with physically interesting potential functions. To corroborate the above assertion, we apply our method to derive the N = 2 continuous and nilpotent SUSY transformations for one of the simplest interacting SUSY system of a 1D harmonic oscillator.

[ { "created": "Sat, 24 Aug 2013 14:23:36 GMT", "version": "v1" }, { "created": "Tue, 22 Oct 2013 07:35:41 GMT", "version": "v2" }, { "created": "Fri, 23 May 2014 12:27:36 GMT", "version": "v3" }, { "created": "Sun, 21 Dec 2014 12:16:46 GMT", "version": "v4" } ]

2015-06-17

[ [ "Krishna", "S.", "" ], [ "Shukla", "A.", "" ], [ "Malik", "R. P.", "" ] ]

We derive the on-shell as well as off-shell nilpotent supersymmetric (SUSY) symmetry transformations for the N = 2 SUSY quantum mechanical model of a one (0 + 1)-dimensional (1D) free SUSY particle by exploiting the SUSY invariant restrictions (SUSYIRs) on the (anti-)chiral supervariables of the SUSY theory that is defined on a (1, 2)-dimensional supermanifold (parametrized by a bosonic variable t and a pair of Grassmannian variables \theta and \bar\theta with \theta^2 = \bar\theta^2 = 0, \theta\bar\theta + \bar\theta\theta = 0). Within the framework of our novel approach, we express the Lagrangian and conserved SUSY charges in terms of the (anti-)chiral supervariables to demonstrate the SUSY invariance of the Lagrangian as well as the nilpotency of the SUSY conserved charges in a simple manner. Our approach has the potential to be generalized to the description of other N = 2 SUSY quantum mechanical systems with physically interesting potential functions. To corroborate the above assertion, we apply our method to derive the N = 2 continuous and nilpotent SUSY transformations for one of the simplest interacting SUSY system of a 1D harmonic oscillator.

4.78089

3.334084

5.516737

3.612684

3.970251

3.751368

3.552069

3.291519

3.795693

5.776626

3.720611

4.048125

4.845777

4.305082

4.449827

4.11024

4.200395

4.165751

4.333172

4.796952

4.328716

hep-th/0604150

Brett McInnes

The Geometry of The Entropic Principle and the Shape of the Universe

24 pages, 4 eps figures, improved exposition of Euclidean/Lorentzian smoothing

JHEP 0610:029,2006

10.1088/1126-6708/2006/10/029

null

hep-th astro-ph

null

Ooguri, Vafa, and Verlinde have outlined an approach to two-dimensional accelerating string cosmology which is based on topological string theory, the ultimate objective being to develop a string-theoretic understanding of "creating the Universe from nothing". The key technical idea here is to assign *two different* Lorentzian spacetimes to a certain Euclidean space. Here we give a simple framework which allows this to be done in a systematic way. This framework allows us to extend the construction to higher dimensions. We find then that the general shape of the spatial sections of the newly created Universe is constrained by the OVV formalism: the sections have to be flat and compact.

[ { "created": "Fri, 21 Apr 2006 08:37:03 GMT", "version": "v1" }, { "created": "Fri, 28 Apr 2006 08:20:24 GMT", "version": "v2" }, { "created": "Tue, 9 May 2006 01:57:36 GMT", "version": "v3" } ]

2010-12-23

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

Ooguri, Vafa, and Verlinde have outlined an approach to two-dimensional accelerating string cosmology which is based on topological string theory, the ultimate objective being to develop a string-theoretic understanding of "creating the Universe from nothing". The key technical idea here is to assign *two different* Lorentzian spacetimes to a certain Euclidean space. Here we give a simple framework which allows this to be done in a systematic way. This framework allows us to extend the construction to higher dimensions. We find then that the general shape of the spatial sections of the newly created Universe is constrained by the OVV formalism: the sections have to be flat and compact.

14.990745

13.43653

15.402785

12.72511

15.038961

14.544695

14.685388

13.907247

13.622586

15.101879

13.014565

13.455596

12.943293

12.835773

13.491397

13.056267

12.954186

13.222572

13.095884

13.229431

13.31975

1909.06305

Nihat Sadik Deger

Hamid Reza Afshar, Nihat Sadik Deger

Exotic massive 3D gravities from truncation

16 pages, v2:introduction and conclusion extended, references added

JHEP 1911 (2019) 145

10.1007/JHEP11(2019)145

null

hep-th

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

We introduce a systematic way of constructing 3D exotic massive gravity theories in the first order formulation. Our method is based on truncating a single degree of freedom in the parity odd gravity models found earlier in arXiv:1405.6213 and supplementing it with appropriate potential terms such that the resulting models have well-defined metric equations but their Bianchi identities are satisfied only on-shell. Hence, they are `third way' consistent. We first re-derive two already known exotic theories using our approach and then construct an extended exotic massive gravity model whose metric field equation is sixth order in derivatives. We also explain how to check Bianchi identities using the first order formulation.

[ { "created": "Fri, 13 Sep 2019 15:56:26 GMT", "version": "v1" }, { "created": "Tue, 26 Nov 2019 04:56:12 GMT", "version": "v2" } ]

2019-11-27

[ [ "Afshar", "Hamid Reza", "" ], [ "Deger", "Nihat Sadik", "" ] ]

We introduce a systematic way of constructing 3D exotic massive gravity theories in the first order formulation. Our method is based on truncating a single degree of freedom in the parity odd gravity models found earlier in arXiv:1405.6213 and supplementing it with appropriate potential terms such that the resulting models have well-defined metric equations but their Bianchi identities are satisfied only on-shell. Hence, they are `third way' consistent. We first re-derive two already known exotic theories using our approach and then construct an extended exotic massive gravity model whose metric field equation is sixth order in derivatives. We also explain how to check Bianchi identities using the first order formulation.

14.89121

14.18487

14.962586

13.562982

14.421535

14.44559

14.462132

13.657132

15.215147

15.63667

13.46793

13.646228

13.829707

13.466322

13.903869

14.0492

13.419149

13.263116

13.965088

14.482537

13.388041

1906.10700

Akshay Yelleshpur Srikant

Emergent unitarity from the amplituhedron

version accepted to JHEP

JHEP 01(2020)069

10.1007/JHEP01(2020)069

null

hep-th math-ph math.MP

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

We present a proof of perturbative unitarity for $\mathcal{N}=4$ SYM, following from the geometry of the amplituhedron. This proof is valid for amplitudes of arbitrary multiplicity $n$, loop order $L$ and MHV degree $k$.

[ { "created": "Tue, 25 Jun 2019 18:00:05 GMT", "version": "v1" }, { "created": "Thu, 26 Dec 2019 17:01:12 GMT", "version": "v2" } ]

2020-01-16

[ [ "Srikant", "Akshay Yelleshpur", "" ] ]

We present a proof of perturbative unitarity for $\mathcal{N}=4$ SYM, following from the geometry of the amplituhedron. This proof is valid for amplitudes of arbitrary multiplicity $n$, loop order $L$ and MHV degree $k$.

5.472032

4.906686

5.307529

4.256579

4.878135

4.396935

5.006371

4.518477

4.518166

6.027572

4.818871

4.579517

5.26136

4.71556

4.868374

4.871652

4.575515

4.895896

4.819032

5.383472

4.979156

1610.06938

Evgeny Skvortsov D

A.N. Manashov and E.D. Skvortsov

Higher-spin currents in the Gross-Neveu model at $1/n^2$

17 pages, 4 figures; replaced with the revised version

null

10.1007/JHEP01(2017)132

null

hep-th cond-mat.stat-mech

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

We calculate the anomalous dimensions of higher-spin currents, both singlet and non-singlet, in the Gross-Neveu model at the $1/n^2$ order. It was conjectured that in the critical regime this model is dual to a higher-spin gauge theory on $AdS_4$. The $AdS/CFT$ correspondence predicts that the masses of higher-spin fields correspond to the scaling dimensions of the singlet currents in the Gross-Neveu model.

[ { "created": "Fri, 21 Oct 2016 20:14:24 GMT", "version": "v1" }, { "created": "Fri, 27 Jan 2017 16:18:53 GMT", "version": "v2" } ]

2017-07-14

[ [ "Manashov", "A. N.", "" ], [ "Skvortsov", "E. D.", "" ] ]

We calculate the anomalous dimensions of higher-spin currents, both singlet and non-singlet, in the Gross-Neveu model at the $1/n^2$ order. It was conjectured that in the critical regime this model is dual to a higher-spin gauge theory on $AdS_4$. The $AdS/CFT$ correspondence predicts that the masses of higher-spin fields correspond to the scaling dimensions of the singlet currents in the Gross-Neveu model.

4.711435

4.477088

6.092987

4.488169

4.61283

4.261058

4.3973

4.465741

4.604927

5.761817

4.440352

4.387207

5.309547

4.42801

4.468067

4.428092

4.307827

4.47028

4.378208

4.886075

4.293835

0912.5529

M. P. Garcia del Moral

M.P. Garc\'ia del Moral, I. Martin, L. Navarro, A. J. P\'erez A. and A. Restuccia

Spectral analysis of polynomial potentials and its relation with ABJ/M-type theories

17pg, Latex. Some more explanatory comments and references added.

Nucl.Phys.B839:112-128,2010

10.1016/j.nuclphysb.2010.06.003

FFUOV-09/11

hep-th

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

We obtain a general class of polynomials for which the Schrodinger operator has a discrete spectrum. This class includes all the scalar potentials in membrane, 5-brane, p-branes, multiple M2 branes, BLG and ABJM theories. We provide a proof of the discreteness of the spectrum of the associated Schrodinger operators. This a a first step in order to analyze BLG and ABJM supersymmetric theories from a non-perturbative point of view.

[ { "created": "Wed, 30 Dec 2009 20:19:19 GMT", "version": "v1" }, { "created": "Fri, 12 Mar 2010 16:12:07 GMT", "version": "v2" } ]

2015-03-13

[ [ "del Moral", "M. P. García", "" ], [ "Martin", "I.", "" ], [ "Navarro", "L.", "" ], [ "A.", "A. J. Pérez", "" ], [ "Restuccia", "A.", "" ] ]

We obtain a general class of polynomials for which the Schrodinger operator has a discrete spectrum. This class includes all the scalar potentials in membrane, 5-brane, p-branes, multiple M2 branes, BLG and ABJM theories. We provide a proof of the discreteness of the spectrum of the associated Schrodinger operators. This a a first step in order to analyze BLG and ABJM supersymmetric theories from a non-perturbative point of view.

11.064991

8.587688

10.054996

9.177619

9.55533

10.021054

9.271345

8.778667

9.213249

10.968266

9.05689

9.360891

10.228795

9.475836

9.694246

9.427727

9.232822

9.65023

10.068047

10.721339

9.466862

hep-th/9610210

Steven Brumby

S.P. Brumby, B.E. Hanlon and G.C. Joshi (Melbourne Uni.)

Implications of quaternionic dark matter

14 pages, RevTeX, no figures

Phys.Lett. B401 (1997) 247-253

10.1016/S0370-2693(97)00415-2

UM-P-96/90; RCHEP 96/12

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

null

Taking the complex nature of quantum mechanics which we observe today as a low energy effect of a broken quaternionic theory we explore the possibility that dark matter arises as a consequence of this underlying quaternionic structure to our universe. We introduce a low energy, effective, Lagrangian which incorporates the remnants of a local quaternionic algebra, investigate the stellar production of the resultant exotic bosons and explore the possible low energy consequences of our remnant extended Hilbert space.

[ { "created": "Mon, 28 Oct 1996 07:25:00 GMT", "version": "v1" } ]

2009-10-30

[ [ "Brumby", "S. P.", "", "Melbourne Uni." ], [ "Hanlon", "B. E.", "", "Melbourne Uni." ], [ "Joshi", "G. C.", "", "Melbourne Uni." ] ]

Taking the complex nature of quantum mechanics which we observe today as a low energy effect of a broken quaternionic theory we explore the possibility that dark matter arises as a consequence of this underlying quaternionic structure to our universe. We introduce a low energy, effective, Lagrangian which incorporates the remnants of a local quaternionic algebra, investigate the stellar production of the resultant exotic bosons and explore the possible low energy consequences of our remnant extended Hilbert space.

25.709394

25.824976

22.530235

23.010166

21.096937

23.080191

24.926855

21.055887

19.860964

22.698427

22.401308

22.34799

21.268642

20.878664

22.577206

22.160294

21.487827

22.303928

21.674011

22.070856

22.449858

1205.6881

Joseph Novak B.Sc.

Joseph Novak

Superform formulation for vector-tensor multiplets in conformal supergravity

28 pages. V2: Typos corrected and references updated; V3: References updated and typo corrected

null

10.1007/JHEP09(2012)060

null

hep-th

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

The recent papers arXiv:1110.0971 and arXiv:1201.5431 have provided a superfield description for vector-tensor multiplets and their Chern-Simons couplings in 4D N = 2 conformal supergravity. Here we develop a superform formulation for these theories. Furthermore an alternative means of gauging the central charge is given, making use of a deformed vector multiplet, which may be thought of as a variant vector-tensor multiplet. Its Chern-Simons couplings to additional vector multiplets are also constructed. This multiplet together with its Chern-Simons couplings are new results not considered by de Wit et al. in hep-th/9710212.

[ { "created": "Thu, 31 May 2012 03:58:12 GMT", "version": "v1" }, { "created": "Tue, 2 Oct 2012 14:28:14 GMT", "version": "v2" }, { "created": "Sat, 3 Nov 2012 13:30:13 GMT", "version": "v3" } ]

2015-06-05

[ [ "Novak", "Joseph", "" ] ]

The recent papers arXiv:1110.0971 and arXiv:1201.5431 have provided a superfield description for vector-tensor multiplets and their Chern-Simons couplings in 4D N = 2 conformal supergravity. Here we develop a superform formulation for these theories. Furthermore an alternative means of gauging the central charge is given, making use of a deformed vector multiplet, which may be thought of as a variant vector-tensor multiplet. Its Chern-Simons couplings to additional vector multiplets are also constructed. This multiplet together with its Chern-Simons couplings are new results not considered by de Wit et al. in hep-th/9710212.

8.401092

6.894161

9.707028

7.086598

7.261574

7.366711

7.602118

6.676119

6.880286

9.139226

7.018217

7.316815

8.471904

7.487874

7.682764

7.549928

7.741209

7.148644

7.665683

8.254673

7.653007

1806.00549

Glenn Barnich

Black hole entropy from non-proper gauge degrees of freedom: II. The charged vacuum capacitor

27 pages, V2: improved discussion of thermodynamics in section 2, references added, no other changes

Phys. Rev. D 99, 026007 (2019)

10.1103/PhysRevD.99.026007

null

hep-th gr-qc

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

The question which degrees of freedom are responsible for the classical part of the Gibbons-Hawking entropy is addressed. A physical toy model sharing the same properties from the viewpoint of the linearized theory is a charged vacuum capacitor. In Maxwell's theory, the gauge sector including ghosts is a topological field theory. When computing the grand canonical partition function with a chemical potential for electric charge in the indefinite metric Hilbert space of the BRST quantized theory, the classical contribution originates from the part of the gauge sector that is no longer trivial due to the boundary conditions required by the physical set-up. More concretely, in the benchmark problem of a planar charged vacuum capacitor, we identify the degrees of freedom that, in the quantum theory, give rise to an additional contribution to the standard black body result proportional to the area of the plates, and that allow for a microscopic derivation of the thermodynamics of the charged capacitor.

[ { "created": "Fri, 1 Jun 2018 21:46:50 GMT", "version": "v1" }, { "created": "Wed, 10 Oct 2018 10:44:35 GMT", "version": "v2" } ]

2019-01-16

[ [ "Barnich", "Glenn", "" ] ]

The question which degrees of freedom are responsible for the classical part of the Gibbons-Hawking entropy is addressed. A physical toy model sharing the same properties from the viewpoint of the linearized theory is a charged vacuum capacitor. In Maxwell's theory, the gauge sector including ghosts is a topological field theory. When computing the grand canonical partition function with a chemical potential for electric charge in the indefinite metric Hilbert space of the BRST quantized theory, the classical contribution originates from the part of the gauge sector that is no longer trivial due to the boundary conditions required by the physical set-up. More concretely, in the benchmark problem of a planar charged vacuum capacitor, we identify the degrees of freedom that, in the quantum theory, give rise to an additional contribution to the standard black body result proportional to the area of the plates, and that allow for a microscopic derivation of the thermodynamics of the charged capacitor.

13.771807

13.634809

13.598145

12.868588

13.576676

13.169345

13.521622

12.162371

13.181776

14.752801

12.333078

12.841162

13.385707

13.3383

13.025011

13.659584

13.416965

12.672197

13.781219

13.802258

12.84378

1107.3936

Harikumar E

E. Harikumar, T. Juric and S. Meljanac

Electrodynamics on $\kappa$-Minkowski space-time

16 pages,minor changes, paragraph added on page 13, two new references added, to appear in Phys.Rev. D

Phys. Rev. D 84, 085020 (2011) [8 pages]

10.1103/PhysRevD.84.085020

null

hep-th

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

In this paper, we derive Lorentz force and Maxwell's equations on kappa-Minkowski space-time up to the first order in the deformation parameter. This is done by elevating the principle of minimal coupling to non-commutative space-time. We also show the equivalence of minimal coupling prescription and Feynman's approach. It is shown that the motion in kappa space-time can be interpreted as motion in a background gravitational field, which is induced by this non-commutativity. In the static limit, the effect of kappa deformation is to scale the electric charge. We also show that the laws of electrodynamics depend on the mass of the charged particle, in kappa space-time.

[ { "created": "Wed, 20 Jul 2011 10:41:03 GMT", "version": "v1" }, { "created": "Thu, 29 Sep 2011 09:08:35 GMT", "version": "v2" } ]

2012-02-10

[ [ "Harikumar", "E.", "" ], [ "Juric", "T.", "" ], [ "Meljanac", "S.", "" ] ]

In this paper, we derive Lorentz force and Maxwell's equations on kappa-Minkowski space-time up to the first order in the deformation parameter. This is done by elevating the principle of minimal coupling to non-commutative space-time. We also show the equivalence of minimal coupling prescription and Feynman's approach. It is shown that the motion in kappa space-time can be interpreted as motion in a background gravitational field, which is induced by this non-commutativity. In the static limit, the effect of kappa deformation is to scale the electric charge. We also show that the laws of electrodynamics depend on the mass of the charged particle, in kappa space-time.

7.339013

7.047379

6.762722

6.612097

6.758649

6.208706

6.606173

6.506472

6.734019

7.60301

6.412233

6.562616

6.607122

6.639909

6.424848

6.49245

6.630884

6.482603

6.553156

6.810544

6.3817

hep-th/0202124

Boris Kors

Ralph Blumenhagen (Humboldt U., Berlin), Boris Kors (Utrecht U.), Dieter Lust, and Tassilo Ott (Humboldt U., Berlin)

Hybrid Inflation in Intersecting Brane Worlds

26 pages, 2 figures, harvmac; v2: reference added

Nucl.Phys.B641:235-255,2002

10.1016/S0550-3213(02)00614-4

HU-EP-02/09, SPIN-02/05, ITP-UU-02/04

hep-th astro-ph hep-ph

null

Non-supersymmetric brane world scenarios in string theory display perturbative instabilities that usually involve run-away potentials for scalar moduli fields. We investigate in the framework of intersecting brane worlds whether the leading order scalar potential for the closed string moduli allows to satisfy the slow-rolling conditions required for applications in inflationary cosmology. Adopting a particular choice of basis in field space and assuming mechanisms to stabilize some of the scalars, we find that slow-rolling conditions can be met very generically. In intersecting brane worlds inflation can end nearly instantaneously like in the hybrid inflation scenario due to the appearance of open string tachyons localized at the intersection of two branes, which signal a corresponding phase transition in the gauge theory via the condensation of a Higgs field.

[ { "created": "Tue, 19 Feb 2002 18:20:27 GMT", "version": "v1" }, { "created": "Wed, 20 Feb 2002 15:34:29 GMT", "version": "v2" } ]

2009-10-07

[ [ "Blumenhagen", "Ralph", "", "Humboldt U., Berlin" ], [ "Kors", "Boris", "", "Utrecht U." ], [ "Lust", "Dieter", "", "Humboldt U., Berlin" ], [ "Ott", "Tassilo", "", "Humboldt U., Berlin" ] ]

Non-supersymmetric brane world scenarios in string theory display perturbative instabilities that usually involve run-away potentials for scalar moduli fields. We investigate in the framework of intersecting brane worlds whether the leading order scalar potential for the closed string moduli allows to satisfy the slow-rolling conditions required for applications in inflationary cosmology. Adopting a particular choice of basis in field space and assuming mechanisms to stabilize some of the scalars, we find that slow-rolling conditions can be met very generically. In intersecting brane worlds inflation can end nearly instantaneously like in the hybrid inflation scenario due to the appearance of open string tachyons localized at the intersection of two branes, which signal a corresponding phase transition in the gauge theory via the condensation of a Higgs field.

11.506221

11.711991

12.736602

11.404417

11.384228

11.205075

11.873299

11.156434

11.151198

12.916078

10.782123

11.144156

11.445674

10.983368

11.141867

11.338939

11.135948

11.121967

11.018921

11.754468

11.197062

1112.5156

Marcus Berg

Marcus Berg, Michael Haack, Jin U Kang

One-Loop Kahler Metric of D-Branes at Angles

54 pages, 11 figures

null

10.1007/JHEP11(2012)091

null

hep-th

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

We evaluate string one-loop contributions to the Kahler metric of D-brane moduli (positions and Wilson lines), in toroidal orientifolds with branes at angles. Contributions due to bulk states in the loop are known, so we focus on the contributions due to states localized at intersections of orientifold images. We show that these quantum corrections vanish. This does not follow from the usual nonrenormalization theorems of supersymmetric field theory.

[ { "created": "Wed, 21 Dec 2011 20:57:48 GMT", "version": "v1" } ]

2015-06-03

[ [ "Berg", "Marcus", "" ], [ "Haack", "Michael", "" ], [ "Kang", "Jin U", "" ] ]

We evaluate string one-loop contributions to the Kahler metric of D-brane moduli (positions and Wilson lines), in toroidal orientifolds with branes at angles. Contributions due to bulk states in the loop are known, so we focus on the contributions due to states localized at intersections of orientifold images. We show that these quantum corrections vanish. This does not follow from the usual nonrenormalization theorems of supersymmetric field theory.

9.155622

8.461714

9.242284

7.592054

8.100867

7.843134

9.233489

7.874867

7.375611

9.448816

7.337265

8.102657

9.03793

7.954522

7.933806

7.67058

7.729558

7.699887

7.891832

9.022069

7.875514

hep-th/9804095

Hyung Won Lee

H.W. Lee and Y.S. Myung (Inje University)

Greybody factor for the BTZ black hole and a 5D black hole

some discussions are added, 15 Pages, No figure, RevTeX

Phys.Rev. D58 (1998) 104013

10.1103/PhysRevD.58.104013

INJE-TP-98-4

hep-th

null

We study the 5D black holes in the type IIB superstring theory compactified on $S^1 \times T^4$. Far from horizon, we have flat space-time. Near horizon, we have $AdS_3(BTZ black hole) \times S^3 \times T^4$. We calculate the greybody factor of a minimally coupled scalar by replacing the original geometry($M_5 \times S^1 \times T^4$) by $AdS_3 \times S^3 \times T^4$. In the low-energy scattering, it turns out that the result agrees with the greybody factor of the 5D black hole (or D1 + D5 branes)in the dilute gas approximation. This confirms that the $AdS$-theory($AdS_3 \times S^3 \times T^4$) contains the essential information about the bulk 5D black holes.

[ { "created": "Tue, 14 Apr 1998 07:20:31 GMT", "version": "v1" }, { "created": "Thu, 16 Apr 1998 11:31:17 GMT", "version": "v2" }, { "created": "Thu, 18 Jun 1998 04:26:33 GMT", "version": "v3" }, { "created": "Fri, 9 Oct 1998 07:03:02 GMT", "version": "v4" } ]

2009-10-31

[ [ "Lee", "H. W.", "", "Inje University" ], [ "Myung", "Y. S.", "", "Inje University" ] ]

We study the 5D black holes in the type IIB superstring theory compactified on $S^1 \times T^4$. Far from horizon, we have flat space-time. Near horizon, we have $AdS_3(BTZ black hole) \times S^3 \times T^4$. We calculate the greybody factor of a minimally coupled scalar by replacing the original geometry($M_5 \times S^1 \times T^4$) by $AdS_3 \times S^3 \times T^4$. In the low-energy scattering, it turns out that the result agrees with the greybody factor of the 5D black hole (or D1 + D5 branes)in the dilute gas approximation. This confirms that the $AdS$-theory($AdS_3 \times S^3 \times T^4$) contains the essential information about the bulk 5D black holes.

5.62498

5.447038

6.334244

5.679049

5.748614

5.257161

5.286433

5.452273

5.369562

6.260273

5.312849

5.442039

5.675881

5.387581

5.484367

5.480729

5.575634

5.467583

5.452131

5.62042

5.474094

0906.3800

Arkady Tseytlin

B. Hoare, Y. Iwashita and A.A. Tseytlin

Pohlmeyer-reduced form of string theory in AdS_5 x S^5: semiclassical expansion

44 pages. v2: references added

J.Phys.A42:375204,2009

10.1088/1751-8113/42/37/375204

Imperial-TP-AT-2009-2

hep-th

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

We consider the Pohlmeyer-reduced formulation of the AdS_5 x S^5 superstring. It is constructed by introducing new variables which are algebraically related to supercoset current components so that the Virasoro conditions are automatically solved. The reduced theory is a gauged WZW model supplemented with an integrable potential and fermionic terms that ensure its UV finiteness. The original superstring theory and its reduced counterpart are closely related at the classical level, and we conjecture that they remain related at the quantum level as well, in the sense that their quantum partition functions evaluated on respective classical solutions are equal. We provide evidence for the validity of this conjecture at the one-loop level, i.e. at the first non-trivial order of the semiclassical expansion near several classes of classical solutions.

[ { "created": "Sat, 20 Jun 2009 11:31:11 GMT", "version": "v1" }, { "created": "Fri, 31 Jul 2009 18:34:28 GMT", "version": "v2" } ]

2009-09-28

[ [ "Hoare", "B.", "" ], [ "Iwashita", "Y.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We consider the Pohlmeyer-reduced formulation of the AdS_5 x S^5 superstring. It is constructed by introducing new variables which are algebraically related to supercoset current components so that the Virasoro conditions are automatically solved. The reduced theory is a gauged WZW model supplemented with an integrable potential and fermionic terms that ensure its UV finiteness. The original superstring theory and its reduced counterpart are closely related at the classical level, and we conjecture that they remain related at the quantum level as well, in the sense that their quantum partition functions evaluated on respective classical solutions are equal. We provide evidence for the validity of this conjecture at the one-loop level, i.e. at the first non-trivial order of the semiclassical expansion near several classes of classical solutions.

6.569646

5.869311

7.744859

6.060215

6.154695

5.95344

5.546312

5.906313

6.103835

7.862373

5.901611

6.238377

6.339974

6.062155

6.095165

6.269833

6.195945

6.407676

6.133129

6.655778

6.162589

hep-th/9612171

Sergei Ketov

Sergei V. Ketov (ITP, University of Hannover)

Self-duality and F theory

9 pages, LaTeX; Talk given at the 4th Nordic Meeting `Supersymmetric Field and String Theories', (G"oteborg, Sweden, 9--11 September 1996), and at the `mitteldeutsche' Workshop (Lutherstadt Wittenberg, Germany, 29--30 November 1996)

null

ITP-UH-26/96

hep-th

null

The (2,2) world-sheet supersymmetric string theory is discussed from the viewpoint of string/membrane unification. The effective field theory in the closed string target space is known to be the 2+2 dimensional (integrable) theory of self-dual gravity (SDG). A world-volume supersymmetrization of the Pleba'nski action for SDG naturally implies the maximal N=8 world-volume supersymmetry, while the maximal supersymmetrization of the dual covariant K"ahler-Lorentz-Chern-Simons action for SDG implies gauging a self-dual part of the super-Lorentz symmetry in 2+10 dimensions. The proposed OSp(32|1) supersymmetric action for the M-brane may be useful for a fundamental formulation of uncompactified F theory, with the self-duality being playing the central role both in the world-volume and in the target space of the M-brane.

[ { "created": "Mon, 16 Dec 1996 17:04:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ketov", "Sergei V.", "", "ITP, University of Hannover" ] ]

The (2,2) world-sheet supersymmetric string theory is discussed from the viewpoint of string/membrane unification. The effective field theory in the closed string target space is known to be the 2+2 dimensional (integrable) theory of self-dual gravity (SDG). A world-volume supersymmetrization of the Pleba'nski action for SDG naturally implies the maximal N=8 world-volume supersymmetry, while the maximal supersymmetrization of the dual covariant K"ahler-Lorentz-Chern-Simons action for SDG implies gauging a self-dual part of the super-Lorentz symmetry in 2+10 dimensions. The proposed OSp(32|1) supersymmetric action for the M-brane may be useful for a fundamental formulation of uncompactified F theory, with the self-duality being playing the central role both in the world-volume and in the target space of the M-brane.

10.085669

8.871682

11.089698

8.974864

9.283798

8.845546

9.057812

9.111854

9.567713

13.266775

9.049288

9.569609

10.642097

9.67394

9.638671

9.51973

9.50463

9.735145

9.56657

10.383928

9.43162

hep-th/0512127

Zheng Ze Ma

Euler numbers of four-dimensional rotating black holes with the Euclidean signature

15 pages, Latex, arxiv-id for the refs. supplemented

Phys.Rev.D67:024027,2003

10.1103/PHYSREVD.67.024027

null

hep-th

null

For a black hole's spacetime manifold in the Euclidean signature, its metric is positive definite and therefore a Riemannian manifold. It can be regarded as a gravitational instanton and a topological characteristic which is the Euler number is associated. In this paper we derive a formula for the Euler numbers of four-dimensional rotating black holes by the integral of the Euler density on the spacetime manifolds of black holes. Using this formula, we obtain that the Euler numbers of Kerr and Kerr-Newman black holes are 2. We also obtain that the Euler number of the Kerr-Sen metric in the heterotic string theory with one boost angle nonzero is 2 that is in accordence with its topology.

[ { "created": "Mon, 12 Dec 2005 13:56:25 GMT", "version": "v1" }, { "created": "Mon, 6 Feb 2006 13:04:08 GMT", "version": "v2" } ]

2008-11-26

[ [ "Ma", "Zheng Ze", "" ] ]

For a black hole's spacetime manifold in the Euclidean signature, its metric is positive definite and therefore a Riemannian manifold. It can be regarded as a gravitational instanton and a topological characteristic which is the Euler number is associated. In this paper we derive a formula for the Euler numbers of four-dimensional rotating black holes by the integral of the Euler density on the spacetime manifolds of black holes. Using this formula, we obtain that the Euler numbers of Kerr and Kerr-Newman black holes are 2. We also obtain that the Euler number of the Kerr-Sen metric in the heterotic string theory with one boost angle nonzero is 2 that is in accordence with its topology.

8.654071

8.934465

7.817485

8.042551

8.990367

8.636279

8.716641

8.991841

8.560308

8.356175

8.460053

8.190125

7.828236

8.093649

8.090252

8.139522

7.756332

8.009827

8.070923

8.106227

8.102708

hep-th/0503133

Ludwik Turko

J. Cleymans, K. Redlich, L. Turko

Thermodynamic limit and semi--intensive quantities

11 pages, 2 figures In v2 figures are added and corresponding editorial changes are done. Paper will be published in Journal of Physics G

J.Phys. G31 (2005) 1421-1435

10.1088/0954-3899/31/12/004

null

hep-th

null

The properties of statistical ensembles with abelian charges close to the thermodynamic limit are discussed. The finite volume corrections to the probability distributions and particle density moments are calculated. Results are obtained for statistical ensembles with both exact and average charge conservation. A new class of variables (semi--intensive variables) which differ in the thermodynamic limit depending on how charge conservation is implemented in the system is introduced. The thermodynamic limit behavior of these variables is calculated through the next to leading order finite volume corrections to the corresponding probability density distributions.

[ { "created": "Wed, 16 Mar 2005 15:42:05 GMT", "version": "v1" }, { "created": "Mon, 26 Sep 2005 13:59:01 GMT", "version": "v2" } ]

2007-05-23

[ [ "Cleymans", "J.", "" ], [ "Redlich", "K.", "" ], [ "Turko", "L.", "" ] ]

The properties of statistical ensembles with abelian charges close to the thermodynamic limit are discussed. The finite volume corrections to the probability distributions and particle density moments are calculated. Results are obtained for statistical ensembles with both exact and average charge conservation. A new class of variables (semi--intensive variables) which differ in the thermodynamic limit depending on how charge conservation is implemented in the system is introduced. The thermodynamic limit behavior of these variables is calculated through the next to leading order finite volume corrections to the corresponding probability density distributions.

13.228087

15.570569

12.280821

12.29819

14.518887

15.163542

14.99247

13.798914

12.868404

13.271156

13.189192

13.075983

12.338408

12.406251

12.490988

12.974633

12.778537

12.720937

12.602814

12.037186

12.516038

hep-th/9510004

Tishchenko Andrej Yurievich

V.V. Skalozub and A.Y. Tishchenko

The Effective electromagnetic interaction in a dense fermionic medium in QED_{2+1}

6 pages, LaTeX, 1 figure (PS file), minor changes

Phys.Lett. B387 (1996) 835-840; J.Exp.Theor.Phys. 81 (1995) 207-209

10.1016/0370-2693(96)01110-0

IC/95/316

hep-th

null

The effective Lagrangian of arbitrary varying in space electromagnetic field in a dense medium is derived. It has been used for investigation of interaction between charged fermions in the medium. It is shown the possibility for the formation of metastable electron bound states in the medium when external magnetic field is applied.

[ { "created": "Mon, 2 Oct 1995 20:57:14 GMT", "version": "v1" }, { "created": "Tue, 3 Oct 1995 16:49:47 GMT", "version": "v2" }, { "created": "Wed, 6 Nov 1996 18:52:37 GMT", "version": "v3" } ]

2009-10-28

[ [ "Skalozub", "V. V.", "" ], [ "Tishchenko", "A. Y.", "" ] ]

The effective Lagrangian of arbitrary varying in space electromagnetic field in a dense medium is derived. It has been used for investigation of interaction between charged fermions in the medium. It is shown the possibility for the formation of metastable electron bound states in the medium when external magnetic field is applied.

17.188412

12.821836

13.987186

13.408833

13.571645

13.268632

13.644692

13.402368

12.640172

13.014914

13.622878

14.713024

14.610707

13.969986

14.085423

14.648594

14.386524

14.717304

14.649829

15.289309

14.481046

hep-th/0505052

Pesando Igor

I. Pesando

Boundary states for branes with non trivial homology in constant closed and open background

24 pages; v2 Added some references and clarified some points

null

DFTT 10/05

hep-th

null

For the bosonic string on the torus we compute boundary states describing branes with not trivial homology class in presence of constant closed and open background. It turns out that boundary states with non trivial open background generically require the introduction of non physical ``twisted'' closed sectors, that only $F$ and not ${\cal F}=F+B$ determines the geometric embedding for $Dp$ branes with $p<25$ and that closed and open strings live on different tori which are relatively twisted and shrunk. Finally we discuss the T-duality transformation for the open string in a non trivial background.

[ { "created": "Thu, 5 May 2005 13:25:21 GMT", "version": "v1" }, { "created": "Tue, 9 Aug 2005 09:42:12 GMT", "version": "v2" } ]

2007-05-23

[ [ "Pesando", "I.", "" ] ]

For the bosonic string on the torus we compute boundary states describing branes with not trivial homology class in presence of constant closed and open background. It turns out that boundary states with non trivial open background generically require the introduction of non physical ``twisted'' closed sectors, that only $F$ and not ${\cal F}=F+B$ determines the geometric embedding for $Dp$ branes with $p<25$ and that closed and open strings live on different tori which are relatively twisted and shrunk. Finally we discuss the T-duality transformation for the open string in a non trivial background.

18.091846

18.343046

20.036303

18.916166

17.076019

21.813915

15.734167

19.886108

16.223969

20.348408

16.952597

15.838673

18.275352

15.94038

16.968824

16.608238

17.034969

15.758592

17.080347

17.555344

16.257648

hep-th/0602054

Pei-Ming Ho

Chong-Sun Chu, Pei-Ming Ho

Time-dependent AdS/CFT Duality and Null Singularity

29 pages, reference added

JHEP 0604:013,2006

10.1088/1126-6708/2006/04/013

null

hep-th

null

We consider AdS/CFT correspondence for time-dependent \II B backgrounds in this paper. The supergravity solutions we construct are supersymmetric pp-waves on AdS and may have null singularity in the bulk. The dual gauge theory is also constructed explicitly and is given by a time-dependent supersymmetric Yang-Mills theory living on the boundary. Apart from the usual terms that are dictated by the geometry, our gauge theory action features also a time-dependent axion coupling and a time-dependent gauge coupling. Both of which are necessary due to the presence of a nontrivial dilaton and axion profile in the supergravity solution. The proposal is supported by a precise matching in the symmetries and functional dependence on the null coordinate of the two theories. As applications, we show how the bulk Einstein equation may be reproduced from the gauge theory. We also study and compare the behaviour of the field theory two-point functions. We find that the two-point function computed by using duality is different from that by doing a direct field theory computation. In particular the spacetime singularity is not seen in our gauge theory result, suggesting that the spacetime singularity may be resolved in the gauge theory.

[ { "created": "Mon, 6 Feb 2006 14:21:01 GMT", "version": "v1" }, { "created": "Sun, 19 Feb 2006 06:46:22 GMT", "version": "v2" } ]

2010-02-03

[ [ "Chu", "Chong-Sun", "" ], [ "Ho", "Pei-Ming", "" ] ]

We consider AdS/CFT correspondence for time-dependent \II B backgrounds in this paper. The supergravity solutions we construct are supersymmetric pp-waves on AdS and may have null singularity in the bulk. The dual gauge theory is also constructed explicitly and is given by a time-dependent supersymmetric Yang-Mills theory living on the boundary. Apart from the usual terms that are dictated by the geometry, our gauge theory action features also a time-dependent axion coupling and a time-dependent gauge coupling. Both of which are necessary due to the presence of a nontrivial dilaton and axion profile in the supergravity solution. The proposal is supported by a precise matching in the symmetries and functional dependence on the null coordinate of the two theories. As applications, we show how the bulk Einstein equation may be reproduced from the gauge theory. We also study and compare the behaviour of the field theory two-point functions. We find that the two-point function computed by using duality is different from that by doing a direct field theory computation. In particular the spacetime singularity is not seen in our gauge theory result, suggesting that the spacetime singularity may be resolved in the gauge theory.

9.220635

9.088934

10.078643

9.032171

9.305089

8.655373

9.02146

9.169641

8.763928

10.496126

8.666654

9.011929

9.453597

8.91592

8.938291

9.127245

8.831368

8.609734

8.921367

9.39234

8.754213

1207.2869

Neven Bilic

Neven Bilic and Dijana Tolic

Analogue surface gravity near the QCD chiral phase transition

11 pages, typos corrected, clarifications added, references added, accepted in Phys. Lett. B

Phys. Lett. B 718 (2012) 223-227

10.1016/j.physletb.2012.10.029

null

hep-th gr-qc hep-ph

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

Using the formalism of relativistic acoustic geometry we study the expanding chiral fluid in the regime of broken chiral symmetry near the QCD chiral phase transition temperature T_c. The dynamics of pions below T_c is described by the equation of motion for a massless scalar field propagating in curved spacetime similar to an open FRW universe. The metric tensor depends locally on the soft pion dispersion relation and the four-velocity of the fluid. In the neighborhood of the critical point an analogue trapped region forms with the analogue trapped horizon as its boundary. We show that the associated surface gravity diverges near the critical point as 1/(T_c-T). Hence, if the horizon forms close to the critical temperature the analogue Hawking temperature may be comparable with or even larger than the background fluid temperature.

[ { "created": "Thu, 12 Jul 2012 08:05:17 GMT", "version": "v1" }, { "created": "Tue, 17 Jul 2012 11:37:08 GMT", "version": "v2" }, { "created": "Sat, 13 Oct 2012 14:52:58 GMT", "version": "v3" } ]

2013-03-07

[ [ "Bilic", "Neven", "" ], [ "Tolic", "Dijana", "" ] ]

Using the formalism of relativistic acoustic geometry we study the expanding chiral fluid in the regime of broken chiral symmetry near the QCD chiral phase transition temperature T_c. The dynamics of pions below T_c is described by the equation of motion for a massless scalar field propagating in curved spacetime similar to an open FRW universe. The metric tensor depends locally on the soft pion dispersion relation and the four-velocity of the fluid. In the neighborhood of the critical point an analogue trapped region forms with the analogue trapped horizon as its boundary. We show that the associated surface gravity diverges near the critical point as 1/(T_c-T). Hence, if the horizon forms close to the critical temperature the analogue Hawking temperature may be comparable with or even larger than the background fluid temperature.

9.964728

11.707026

8.726782

8.743631

9.429725

10.142827

9.160028

9.024134

9.636861

9.011627

9.527402

9.105467

9.489295

9.068841

9.724277

9.346349

9.483335

8.991894

9.232426

9.80855

9.302772

1805.11114

Sameer Murthy

Sunil Mukhi and Sameer Murthy

Fermions on replica geometries and the $\Theta$-$\theta$ relation

null

hep-th math.AG math.NT

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

In arXiv:1706:09426 we conjectured and provided evidence for an identity between Siegel $\Theta$-constants for special Riemann surfaces of genus $n$ and products of Jacobi $\theta$-functions. This arises by comparing two different ways of computing the \nth \Renyi entropy of free fermions at finite temperature. Here we show that for $n=2$ the identity is a consequence of an old result due to Fay for doubly branched Riemann surfaces. For $n>2$ we provide a detailed matching of certain zeros on both sides of the identity. This amounts to an elementary proof of the identity for $n=2$, while for $n\ge 3$ it gives new evidence for it. We explain why the existence of additional zeros renders the general proof difficult.

[ { "created": "Mon, 28 May 2018 18:04:52 GMT", "version": "v1" } ]

2018-05-30

[ [ "Mukhi", "Sunil", "" ], [ "Murthy", "Sameer", "" ] ]

In arXiv:1706:09426 we conjectured and provided evidence for an identity between Siegel $\Theta$-constants for special Riemann surfaces of genus $n$ and products of Jacobi $\theta$-functions. This arises by comparing two different ways of computing the \nth \Renyi entropy of free fermions at finite temperature. Here we show that for $n=2$ the identity is a consequence of an old result due to Fay for doubly branched Riemann surfaces. For $n>2$ we provide a detailed matching of certain zeros on both sides of the identity. This amounts to an elementary proof of the identity for $n=2$, while for $n\ge 3$ it gives new evidence for it. We explain why the existence of additional zeros renders the general proof difficult.

10.089197

9.982937

10.341769

8.702974

9.617853

9.600826

9.713824

9.03548

9.733231

11.781552

9.264484

9.058946

9.17462

8.736583

8.822639

9.121674

9.032923

8.782621

8.673022

9.087481

8.977374

1011.3545

Luigi Martina

Non-commutative mechanics and Exotic Galilean symmetry

15 pages, Talk given at Nonlinear Physics. Theory and Experiment VI,Gallipoli (Lecce), Italy, June 23 - July 3, 2010

Theoretical and Mathematical Physics, Volume 167, Issue 3, 2011 pp.816-825

10.1007/s11232-011-0065-3

null

hep-th

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

In order to derive a large set of Hamiltonian dynamical systems, but with only first order Lagrangian, we resort to the formulation in terms of Lagrange-Souriau 2-form formalism. A wide class of systems derived in different phenomenological contexts are covered. The non-commutativity of the particle position coordinates are a natural consequence. Some explicit examples are considered.

[ { "created": "Mon, 15 Nov 2010 22:59:45 GMT", "version": "v1" }, { "created": "Sat, 15 Jan 2011 11:39:03 GMT", "version": "v2" } ]

2015-05-20

[ [ "Martina", "Luigi", "" ] ]

In order to derive a large set of Hamiltonian dynamical systems, but with only first order Lagrangian, we resort to the formulation in terms of Lagrange-Souriau 2-form formalism. A wide class of systems derived in different phenomenological contexts are covered. The non-commutativity of the particle position coordinates are a natural consequence. Some explicit examples are considered.

17.19245

16.543261

15.880965

14.624135

15.707518

16.918045

14.755179

15.154531

15.366963

17.694511

14.682786

15.517962

16.140564

14.588844

16.002274

14.96523

14.76072

14.873608

14.910614

15.41223

14.922311

hep-th/0104079

Ragoucy E.

M. Mintchev, E. Ragoucy, P. Sorba

Spontaneous symmetry breaking in the gl(N)-NLS hierarchy on the half line

LaTeX2e, 28 pages, no figure

J.Phys.A34:8345-8364,2001

10.1088/0305-4470/34/40/311

LAPTH-844/01, IFUP-TH 15/2001

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

null

We describe an algebraic framework for studying the symmetry properties of integrable quantum systems on the half line. The approach is based on the introduction of boundary operators. It turns out that these operators both encode the boundary conditions and generate integrals of motion. We use this direct relationship between boundary conditions and symmetry content to establish the spontaneous breakdown of some internal symmetries, due to the boundary.

[ { "created": "Mon, 9 Apr 2001 15:57:00 GMT", "version": "v1" } ]

2016-09-06

[ [ "Mintchev", "M.", "" ], [ "Ragoucy", "E.", "" ], [ "Sorba", "P.", "" ] ]

We describe an algebraic framework for studying the symmetry properties of integrable quantum systems on the half line. The approach is based on the introduction of boundary operators. It turns out that these operators both encode the boundary conditions and generate integrals of motion. We use this direct relationship between boundary conditions and symmetry content to establish the spontaneous breakdown of some internal symmetries, due to the boundary.

11.481538

11.877216

11.607617

10.524824

11.024161

11.17795

10.628083

9.903095

9.783514

11.668932

10.006415

10.890884

11.768068

10.493504

10.645841

10.355

11.0261

10.697899

10.465728

11.207819

10.429881

1204.1972

Nikolay Bobev

Nikolay Bobev, Benjamin E. Niehoff, Nicholas P. Warner

New Supersymmetric Bubbles on AdS_3xS^3

23 pages

JHEP 1210:013, 2012

10.1007/JHEP10(2012)013

null

hep-th

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

We find a large new class of explicit solutions preserving four supercharges in six-dimensional supergravity. The solutions are determined by solving a linear system of equations on a four-dimensional Kahler base studied by LeBrun. For particular choices of the parameters, we find regular backgrounds that are asymptotic to the near-horizon limit of the D1-D5-P black string. Holography implies that these backgrounds should be dual to 1/4-BPS states in the D1-D5-P CFT.

[ { "created": "Mon, 9 Apr 2012 20:00:02 GMT", "version": "v1" } ]

2013-02-19

[ [ "Bobev", "Nikolay", "" ], [ "Niehoff", "Benjamin E.", "" ], [ "Warner", "Nicholas P.", "" ] ]

We find a large new class of explicit solutions preserving four supercharges in six-dimensional supergravity. The solutions are determined by solving a linear system of equations on a four-dimensional Kahler base studied by LeBrun. For particular choices of the parameters, we find regular backgrounds that are asymptotic to the near-horizon limit of the D1-D5-P black string. Holography implies that these backgrounds should be dual to 1/4-BPS states in the D1-D5-P CFT.

7.853366

5.267627

8.820861

5.775586

5.703861

5.902517

5.566242

5.85577

6.021234

8.924051

5.844009

6.513752

7.494831

6.690237

6.287881

6.600231

6.525445

6.225918

6.653219

7.124773

6.497853

0810.2596

Nicholas Warner

Nicholas P. Warner

Microstate Geometries and Entropy Enhancement

19 pages, 2 figures. Contribution to the proceedings of "30 Years of Mathematical Methods in High Energy Physics - In honor of Professor Tohru Eguchi's 60th Birthday."

null

10.1143/PTPS.177.228

null

hep-th

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

In string theory, black-hole backgrounds are far from unique and there are large families of completely smooth, horizonless geometries with the same structure as a black hole from infinity down to the neighborhood of the black-hole horizon. These microstate geometries cap off in foam of topological bubbles. I review some of the recent progress in constructing these smooth horizonless geometries and discuss some of the physical implications.

[ { "created": "Wed, 15 Oct 2008 04:33:29 GMT", "version": "v1" } ]

2015-05-13

[ [ "Warner", "Nicholas P.", "" ] ]

In string theory, black-hole backgrounds are far from unique and there are large families of completely smooth, horizonless geometries with the same structure as a black hole from infinity down to the neighborhood of the black-hole horizon. These microstate geometries cap off in foam of topological bubbles. I review some of the recent progress in constructing these smooth horizonless geometries and discuss some of the physical implications.

13.526055

12.802278

12.738968

11.063763

12.706574

11.830599

11.632238

11.64858

10.886518

15.202438

11.030416

11.236844

12.76794

11.555962

11.961299

11.823682

11.945967

11.40134

12.040495

12.075018

11.981062

hep-th/0502157

Gregory Moore

Atish Dabholkar, Frederik Denef, Gregory W. Moore, Boris Pioline

Exact and Asymptotic Degeneracies of Small Black Holes

35pp. harvmac b-mode; v2 is substantially rewritten and includes new results; v3 contains further clarifications, and some new results; v3: final version to match published version

JHEP 0508:021,2005

10.1088/1126-6708/2005/08/021

LPTHE-05-04,LPTENS-05-09,TIFR-TH-05-07

hep-th

null

We examine the recently proposed relations between black hole entropy and the topological string in the context of type II/heterotic string dual models. We consider the degeneracies of perturbative heterotic BPS states. In several examples with N=4 and N=2 supersymmetry, we show that the macroscopic degeneracy of small black holes agrees to all orders with the microscopic degeneracy, but misses non-perturbative corrections which are computable on the heterotic side. Using these examples we refine the previous proposals and comment on their domain of validity as well as on the relevance of helicity supertraces.

[ { "created": "Thu, 17 Feb 2005 19:48:33 GMT", "version": "v1" }, { "created": "Fri, 22 Apr 2005 01:02:30 GMT", "version": "v2" }, { "created": "Fri, 13 May 2005 20:17:40 GMT", "version": "v3" }, { "created": "Tue, 23 Aug 2005 10:13:02 GMT", "version": "v4" } ]

2010-02-03

[ [ "Dabholkar", "Atish", "" ], [ "Denef", "Frederik", "" ], [ "Moore", "Gregory W.", "" ], [ "Pioline", "Boris", "" ] ]

We examine the recently proposed relations between black hole entropy and the topological string in the context of type II/heterotic string dual models. We consider the degeneracies of perturbative heterotic BPS states. In several examples with N=4 and N=2 supersymmetry, we show that the macroscopic degeneracy of small black holes agrees to all orders with the microscopic degeneracy, but misses non-perturbative corrections which are computable on the heterotic side. Using these examples we refine the previous proposals and comment on their domain of validity as well as on the relevance of helicity supertraces.

7.875814

7.259728

8.610947

7.202307

7.381114

7.534037

6.756205

7.210973

7.581395

9.663458

6.758975

7.463764

7.672078

7.412239

7.389509

7.474914

7.476926

7.574085

7.37938

7.967134

7.249046

1203.2172

Marcony Silva Cunha

H. R. Christiansen and M. S. Cunha

Kalb-Ramond excitations in a thick-brane scenario with dilaton

10 pages, 13 figures, and 2 tables. Final version to appear in The European Physical Journal C

Eur. Phys. J. C (2012) 72:1942

10.1140/epjc/s10052-012-1942-0

null

hep-th gr-qc

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

We compute the full spectrum and eigenstates of the Kalb-Ramond field in a warped non-compact Randall-Sundrum -type five-dimensional spacetime in which the ordinary four-dimensional braneworld is represented by a sine-Gordon soliton. This 3-brane solution is fully consistent with both the warped gravitational field and bulk dilaton configurations. In such a background we embed a bulk antisymmetric tensor field and obtain, after reduction, an infinite tower of normalizable Kaluza-Klein massive components along with a zero-mode. The low lying mass eigenstates of the Kalb-Ramond field may be related to the axion pseudoscalar. This yields phenomenological implications on the space of parameters, particularly on the dilaton coupling constant. Both analytical and numerical results are given.

[ { "created": "Fri, 9 Mar 2012 20:32:21 GMT", "version": "v1" }, { "created": "Thu, 29 Mar 2012 20:01:03 GMT", "version": "v2" } ]

2012-04-02

[ [ "Christiansen", "H. R.", "" ], [ "Cunha", "M. S.", "" ] ]

We compute the full spectrum and eigenstates of the Kalb-Ramond field in a warped non-compact Randall-Sundrum -type five-dimensional spacetime in which the ordinary four-dimensional braneworld is represented by a sine-Gordon soliton. This 3-brane solution is fully consistent with both the warped gravitational field and bulk dilaton configurations. In such a background we embed a bulk antisymmetric tensor field and obtain, after reduction, an infinite tower of normalizable Kaluza-Klein massive components along with a zero-mode. The low lying mass eigenstates of the Kalb-Ramond field may be related to the axion pseudoscalar. This yields phenomenological implications on the space of parameters, particularly on the dilaton coupling constant. Both analytical and numerical results are given.

10.597281

10.776647

11.295782

9.688171

10.587055

11.24562

10.471221

10.821461

9.867371

13.454456

10.382716

10.789515

10.489226

10.47753

10.397264

10.563672

10.196085

10.307841

10.382136

10.606883

10.328197

1903.00439

Ctirad Klimcik

Dressing cosets and multi-parametric integrable deformations

36 pages, minor changes, version accepted for publication in JHEP

null

10.1007/JHEP07(2019)176

null

hep-th

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

We provide a new construction of the dressing cosets sigma-models which is based on an isotropic gauging of the E-models. As an application of this new approach, we show that the recently constructed multi-parametric integrable deformations of the principal chiral model are the dressing cosets, they are therefore automatically renormalizable and their dynamics can be completely characterized in terms of current algebras.

[ { "created": "Fri, 1 Mar 2019 17:59:05 GMT", "version": "v1" }, { "created": "Sun, 9 Jun 2019 09:23:08 GMT", "version": "v2" }, { "created": "Tue, 16 Jul 2019 17:11:13 GMT", "version": "v3" } ]

2019-09-04

[ [ "Klimcik", "Ctirad", "" ] ]

We provide a new construction of the dressing cosets sigma-models which is based on an isotropic gauging of the E-models. As an application of this new approach, we show that the recently constructed multi-parametric integrable deformations of the principal chiral model are the dressing cosets, they are therefore automatically renormalizable and their dynamics can be completely characterized in terms of current algebras.

10.906633

9.370476

11.350707

9.93299

9.624439

9.772795

9.764597

9.180913

9.175127

12.76198

9.269557

9.834793

10.95413

9.50771

9.884334

9.979167

9.792287

9.696638

9.859674

10.381416

9.09369

1210.4503

Jong-Ping Hsu

Jong-Ping Hsu and Sung Hoon Kim

The S-matrix and graviton self-energy in quantum Yang-Mills gravity

20 pages, to be published in The European Physical Journal Plus, 2012. arXiv admin note: substantial text overlap with arXiv:1005.3272

Eur. Phys. J. Plus (2012) 127:146

10.1140/epjp/i2012-12146-3

null

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

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

The S-matrix, its unitarity and the graviton self-energy at the one-loop level are discussed on the basis of quantum Yang-Mills gravity with the translational gauge symmetry in flat space-time. The unitarity and gauge invariance of the S-matrix in a class of gauge conditions is preserved by massless ghost vector particles, called `Feynman-DeWitt-Mandelstam' (FDM) ghosts, in quantum Yang-Mills gravity. Using dimensional regularization, the graviton self-energy are explicitly calculated with a general gauge condition. The resultant divergence of graviton self-energy at the one-loop level resembles to that in quantum electrodynamics.

[ { "created": "Tue, 16 Oct 2012 17:23:57 GMT", "version": "v1" } ]

2014-02-26

[ [ "Hsu", "Jong-Ping", "" ], [ "Kim", "Sung Hoon", "" ] ]

The S-matrix, its unitarity and the graviton self-energy at the one-loop level are discussed on the basis of quantum Yang-Mills gravity with the translational gauge symmetry in flat space-time. The unitarity and gauge invariance of the S-matrix in a class of gauge conditions is preserved by massless ghost vector particles, called `Feynman-DeWitt-Mandelstam' (FDM) ghosts, in quantum Yang-Mills gravity. Using dimensional regularization, the graviton self-energy are explicitly calculated with a general gauge condition. The resultant divergence of graviton self-energy at the one-loop level resembles to that in quantum electrodynamics.

9.289745

8.348557

9.231985

8.516218

9.400308

9.152651

9.229807

8.685753

8.049437

8.945363

8.368182

8.877483

8.479774

8.586467

8.7603

8.866015

8.902658

8.666205

8.730721

8.776044

8.759329

2006.10780

Sera Cremonini

Sera Cremonini, Li Li, Kyle Ritchie, Yuezhang Tang

Constraining Non-Relativistic RG Flows with Holography

34 pages, 8 figures. Minor comments added and references added

Phys. Rev. D 103, 046006 (2021)

10.1103/PhysRevD.103.046006

null

hep-th cond-mat.str-el

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

We examine non-relativistic holographic RG flows by working with Einstein-Maxwell-scalar theories which support geometries that break Lorentz invariance at some energy scale. We adopt the superpotential formalism, which helps us characterize the radial flow in this setup and bring to light a number of generic features. In particular, we identify several quantities that behave monotonically under RG flow. As an example, we show that the index of refraction is generically monotonic. We also construct a combination of the superpotentials that flows monotonically in Einstein-scalar theories supporting non-relativistic solutions, and which reduces to the known c-function in the relativistic limit. Interestingly, such quantity also exhibits monotonicity in a variety of black hole solutions to the full Einstein-Maxwell-scalar theory, hinting at a deeper structure. Finally, we comment on the breakdown of such monotonicity conditions and on the relation to a candidate c-function obtained previously from entanglement entropy.

[ { "created": "Thu, 18 Jun 2020 18:00:21 GMT", "version": "v1" }, { "created": "Thu, 10 Sep 2020 14:37:40 GMT", "version": "v2" } ]

2021-02-17

[ [ "Cremonini", "Sera", "" ], [ "Li", "Li", "" ], [ "Ritchie", "Kyle", "" ], [ "Tang", "Yuezhang", "" ] ]

We examine non-relativistic holographic RG flows by working with Einstein-Maxwell-scalar theories which support geometries that break Lorentz invariance at some energy scale. We adopt the superpotential formalism, which helps us characterize the radial flow in this setup and bring to light a number of generic features. In particular, we identify several quantities that behave monotonically under RG flow. As an example, we show that the index of refraction is generically monotonic. We also construct a combination of the superpotentials that flows monotonically in Einstein-scalar theories supporting non-relativistic solutions, and which reduces to the known c-function in the relativistic limit. Interestingly, such quantity also exhibits monotonicity in a variety of black hole solutions to the full Einstein-Maxwell-scalar theory, hinting at a deeper structure. Finally, we comment on the breakdown of such monotonicity conditions and on the relation to a candidate c-function obtained previously from entanglement entropy.

9.038149

9.232902

9.577742

8.372963

9.406116

8.80125

9.176497

8.76884

8.589615

9.320505

8.291123

8.72445

9.134901

8.602632

8.552599

8.365838

8.478946

8.658193

8.384048

8.859213

8.510025

hep-th/0507131

Gero von Gersdorff

Gero von Gersdorff, Arthur Hebecker

Kaehler Corrections for the Volume Modulus of Flux Compactifications

8 pages, references added

Phys.Lett. B624 (2005) 270-274

10.1016/j.physletb.2005.08.024

null

hep-th hep-ph

null

No-scale models arise in many compactifications of string theory and supergravity, the most prominent recent example being type IIB flux compactifications. Focussing on the case where the no-scale field is a single unstabilized volume modulus (radion), we analyse the general form of supergravity loop corrections that affect the no-scale structure of the Kaehler potential. These corrections contribute to the 4d scalar potential of the radion in a way that is similar to the Casimir effect. We discuss the interplay of this loop effect with string-theoretic alpha' corrections and its possible role in the stabilization of the radion.

[ { "created": "Thu, 14 Jul 2005 10:04:09 GMT", "version": "v1" }, { "created": "Mon, 1 Aug 2005 18:20:12 GMT", "version": "v2" }, { "created": "Mon, 28 Aug 2006 13:41:54 GMT", "version": "v3" } ]

2009-11-11

[ [ "von Gersdorff", "Gero", "" ], [ "Hebecker", "Arthur", "" ] ]

No-scale models arise in many compactifications of string theory and supergravity, the most prominent recent example being type IIB flux compactifications. Focussing on the case where the no-scale field is a single unstabilized volume modulus (radion), we analyse the general form of supergravity loop corrections that affect the no-scale structure of the Kaehler potential. These corrections contribute to the 4d scalar potential of the radion in a way that is similar to the Casimir effect. We discuss the interplay of this loop effect with string-theoretic alpha' corrections and its possible role in the stabilization of the radion.

8.818601

7.748972

8.528332

8.051675

7.878788

7.542396

8.144047

7.626059

7.816643

10.184879

7.72974

7.746163

8.53998

7.911708

8.029591

7.783534

7.855967

7.829223

8.186105

8.285235

8.022395

hep-th/0504056

Andreas Karch

Mohsen Alishahiha, Andreas Karch, and Eva Silverstein

Hologravity

27 pages, 4 figures; references added

JHEP 0506 (2005) 028

10.1088/1126-6708/2005/06/028

UW/PT-05-08, SLAC-PUB-11090, SU-ITP-05/12, IPM/P-2005/020

hep-th

null

The dS/dS correspondence provides a holographic description of quantum gravity in d dimensional de Sitter space near the horizon of a causal region in a well defined approximation scheme; it is equivalent to the low energy limit of conformal field theory on de Sitter space in d-1 dimensions coupled to d-1 dimensional gravity. In this work, we extend the duality to higher energy scales by performing calculations of various basic physical quantities sensitive to the UV region of the geometry near the center of the causal patch. In the regime of energies below the d dimensional Planck scale but above the curvature scale of the geometry, these calculations encode the physics of the d-1 dimensional matter plus gravity system above the crossover scale where gravitational effects become strong. They exhibit phenomena familiar from studies of two dimensional gravity coupled to conformal field theory, including the cancellation of the total Weyl anomaly in d-1 dimensions. We also outline how the correspondence can be used to address the issue of observables in de Sitter space, and generalize the correspondence to other space times, such as black holes, inflationary universes, and landscape bubble decays. In the cases with changing cosmological constant, we obtain a dual description in terms of renormalization group flow.

[ { "created": "Thu, 7 Apr 2005 00:40:04 GMT", "version": "v1" }, { "created": "Sun, 17 Apr 2005 04:49:43 GMT", "version": "v2" } ]

2009-11-11

[ [ "Alishahiha", "Mohsen", "" ], [ "Karch", "Andreas", "" ], [ "Silverstein", "Eva", "" ] ]

The dS/dS correspondence provides a holographic description of quantum gravity in d dimensional de Sitter space near the horizon of a causal region in a well defined approximation scheme; it is equivalent to the low energy limit of conformal field theory on de Sitter space in d-1 dimensions coupled to d-1 dimensional gravity. In this work, we extend the duality to higher energy scales by performing calculations of various basic physical quantities sensitive to the UV region of the geometry near the center of the causal patch. In the regime of energies below the d dimensional Planck scale but above the curvature scale of the geometry, these calculations encode the physics of the d-1 dimensional matter plus gravity system above the crossover scale where gravitational effects become strong. They exhibit phenomena familiar from studies of two dimensional gravity coupled to conformal field theory, including the cancellation of the total Weyl anomaly in d-1 dimensions. We also outline how the correspondence can be used to address the issue of observables in de Sitter space, and generalize the correspondence to other space times, such as black holes, inflationary universes, and landscape bubble decays. In the cases with changing cosmological constant, we obtain a dual description in terms of renormalization group flow.

9.417451

9.238975

9.892838

9.095881

10.199958

9.459031

9.249062

9.601137

9.549299

10.142638

9.093131

9.333301

9.447083

9.210957

9.016733

9.182877

9.112418

9.037421

9.160769

9.319476

9.108657

hep-th/0105276

Skenderis Kostas

Massimo Bianchi, Daniel Z. Freedman and Kostas Skenderis

How to go with an RG Flow

34 pages, v2: typos corrected, one reference added

JHEP 0108:041,2001

10.1088/1126-6708/2001/08/041

MIT-CTP-3143, DAMTP-2001-41, ITP-01-41, ROM2F/2001/15, PUTP-1987

hep-th

null

We apply the formalism of holographic renormalization to domain wall solutions of 5-dimensional supergravity which are dual to deformed conformal field theories in 4 dimensions. We carefully compute one- and two-point functions of the energy-momentum tensor and the scalar operator mixing with it in two specific holographic flows, resolving previous difficulties with these correlation functions. As expected, two-point functions have a 0-mass dilaton pole for the Coulomb branch flow in which conformal symmetry is broken spontaneously but not for the flow dual to a mass deformation in which it is broken explicitly. A previous puzzle of the energy scale in the Coulomb branch flow is explained.

[ { "created": "Mon, 28 May 2001 19:07:44 GMT", "version": "v1" }, { "created": "Thu, 7 Jun 2001 14:05:26 GMT", "version": "v2" } ]

2009-11-07

[ [ "Bianchi", "Massimo", "" ], [ "Freedman", "Daniel Z.", "" ], [ "Skenderis", "Kostas", "" ] ]

We apply the formalism of holographic renormalization to domain wall solutions of 5-dimensional supergravity which are dual to deformed conformal field theories in 4 dimensions. We carefully compute one- and two-point functions of the energy-momentum tensor and the scalar operator mixing with it in two specific holographic flows, resolving previous difficulties with these correlation functions. As expected, two-point functions have a 0-mass dilaton pole for the Coulomb branch flow in which conformal symmetry is broken spontaneously but not for the flow dual to a mass deformation in which it is broken explicitly. A previous puzzle of the energy scale in the Coulomb branch flow is explained.

8.183534

7.754716

8.797498

7.965166

8.238262

7.80738

8.309551

7.801418

7.565832

10.728608

8.141973

8.085499

9.142085

8.063606

8.092916

7.888809

8.262037

7.701195

7.924811

9.054539

7.783755

2310.17447

Brandon Robinson

Pietro Capuozzo, John Estes, Brandon Robinson, Benjamin Suzzoni

Holographic Weyl Anomalies for 4d Defects in 6d SCFTs

1+48 pages, 2 figures, section detailing new results for on-shell action added to main body

J. High Energ. Phys. 2024, 120 (2024)

10.1007/JHEP04(2024)120

null

hep-th

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

In this note, we study $1/4$- and $1/2$-BPS co-dimension two superconformal defects in the $6d$ $\mathcal{N}=(2,0)$ $A_{N-1}$ SCFT at large $N$ using their holographic descriptions as solutions of $11d$ supergravity. In this regime, we are able to compute the defect contribution to the sphere entanglement entropy and the change in the stress-energy tensor one-point function due to the presence of the defect using holography. From these quantities, we are then able to unambiguously compute the values for two of the twenty-nine total Weyl anomaly coefficients that characterize $4d$ conformal defects in six and higher dimensions. We are able to demonstrate the consistency of the supergravity description of the defect theories with the average null energy condition on the field theory side. For each class of defects that we consider, we also show that the A-type Weyl anomaly coefficient is non-negative. Lastly, we uncover and resolve a discrepancy between the on-shell action of the $7d$ $1/4$-BPS domain wall solutions and that of their $11d$ uplift.

[ { "created": "Thu, 26 Oct 2023 14:57:01 GMT", "version": "v1" }, { "created": "Thu, 7 Dec 2023 15:52:05 GMT", "version": "v2" }, { "created": "Tue, 20 Feb 2024 09:57:17 GMT", "version": "v3" } ]

2024-04-23

[ [ "Capuozzo", "Pietro", "" ], [ "Estes", "John", "" ], [ "Robinson", "Brandon", "" ], [ "Suzzoni", "Benjamin", "" ] ]

In this note, we study $1/4$- and $1/2$-BPS co-dimension two superconformal defects in the $6d$ $\mathcal{N}=(2,0)$ $A_{N-1}$ SCFT at large $N$ using their holographic descriptions as solutions of $11d$ supergravity. In this regime, we are able to compute the defect contribution to the sphere entanglement entropy and the change in the stress-energy tensor one-point function due to the presence of the defect using holography. From these quantities, we are then able to unambiguously compute the values for two of the twenty-nine total Weyl anomaly coefficients that characterize $4d$ conformal defects in six and higher dimensions. We are able to demonstrate the consistency of the supergravity description of the defect theories with the average null energy condition on the field theory side. For each class of defects that we consider, we also show that the A-type Weyl anomaly coefficient is non-negative. Lastly, we uncover and resolve a discrepancy between the on-shell action of the $7d$ $1/4$-BPS domain wall solutions and that of their $11d$ uplift.

6.317367

5.534431

7.365079

5.837342

5.779179

5.698523

5.790681

5.574603

5.940337

7.670598

5.862193

5.660065

6.15083

5.806466

5.637108

5.789831

5.814522

5.781591

5.860317

6.104514

5.908869

2304.13650

Lorenz Eberhardt

Scott Collier, Lorenz Eberhardt and Mengyang Zhang

Solving 3d Gravity with Virasoro TQFT

72 pages

SciPost Phys. 15, 151 (2023)

10.21468/SciPostPhys.15.4.151

null

hep-th math-ph math.MP

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

We propose a precise reformulation of 3d quantum gravity with negative cosmological constant in terms of a topological quantum field theory based on the quantization of the Teichm\"uller space of Riemann surfaces that we refer to as ``Virasoro TQFT.'' This TQFT is similar, but importantly not equivalent, to $\text{SL}(2,\mathbb{R})$ Chern-Simons theory. This sharpens the folklore that 3d gravity is related to $\text{SL}(2,\mathbb{R})$ Chern-Simons theory into a precise correspondence, and resolves some well-known issues with this lore at the quantum level. Our proposal is computationally very useful and provides a powerful tool for the further study of 3d gravity. In particular, we explain how together with standard TQFT surgery techniques this leads to a fully algorithmic procedure for the computation of the gravity partition function on a fixed topology exactly in the central charge. Mathematically, the relation leads to many nontrivial conjectures for hyperbolic 3-manifolds, Virasoro conformal blocks and crossing kernels.

[ { "created": "Wed, 26 Apr 2023 16:17:55 GMT", "version": "v1" }, { "created": "Mon, 22 May 2023 19:50:06 GMT", "version": "v2" }, { "created": "Sat, 12 Aug 2023 13:22:39 GMT", "version": "v3" } ]

2023-10-11

[ [ "Collier", "Scott", "" ], [ "Eberhardt", "Lorenz", "" ], [ "Zhang", "Mengyang", "" ] ]

We propose a precise reformulation of 3d quantum gravity with negative cosmological constant in terms of a topological quantum field theory based on the quantization of the Teichm\"uller space of Riemann surfaces that we refer to as ``Virasoro TQFT.'' This TQFT is similar, but importantly not equivalent, to $\text{SL}(2,\mathbb{R})$ Chern-Simons theory. This sharpens the folklore that 3d gravity is related to $\text{SL}(2,\mathbb{R})$ Chern-Simons theory into a precise correspondence, and resolves some well-known issues with this lore at the quantum level. Our proposal is computationally very useful and provides a powerful tool for the further study of 3d gravity. In particular, we explain how together with standard TQFT surgery techniques this leads to a fully algorithmic procedure for the computation of the gravity partition function on a fixed topology exactly in the central charge. Mathematically, the relation leads to many nontrivial conjectures for hyperbolic 3-manifolds, Virasoro conformal blocks and crossing kernels.

6.860381

5.977682

7.025185

6.216028

6.188759

6.37701

6.30899

6.227687

6.019096

8.062285

6.136362

6.222071

6.473453

6.16261

6.300232

6.189593

6.30901

6.211538

6.213444

6.889679

6.204723

1801.10367

Harald Dorn

On a new type of divergence for spiky Wilson loops and related entanglement entropies

15 pages, 4 figures, Correction of the prefactor of the leading divergence, appendix B rewritten and related changes in the main text

null

10.1007/JHEP03(2018)124

HU-EP-18/01

hep-th hep-ph

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

We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike contributes a leading divergent term proportional to the inverse of the square root of the cutoff times the jump of the curvature. As nextleading term appears a logarithmic one in the supersymmetric case, but it is absent in QCD. The strong coupling result, obtained from minimal surfaces in AdS via holography, can be used also for applications to entanglement entropy in (2+1)-dimensional CFT's.

[ { "created": "Wed, 31 Jan 2018 09:17:14 GMT", "version": "v1" }, { "created": "Mon, 7 May 2018 07:44:13 GMT", "version": "v2" } ]

2018-05-08

[ [ "Dorn", "Harald", "" ] ]

We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike contributes a leading divergent term proportional to the inverse of the square root of the cutoff times the jump of the curvature. As nextleading term appears a logarithmic one in the supersymmetric case, but it is absent in QCD. The strong coupling result, obtained from minimal surfaces in AdS via holography, can be used also for applications to entanglement entropy in (2+1)-dimensional CFT's.

12.581234

12.705067

12.325069

11.464123

12.315502

11.952904

12.685367

12.823789

11.32837

13.439283

11.80326

11.704232

11.871824

11.957398

11.995306

11.8498

11.510653

11.585248

11.754553

12.643241

11.848147

0709.2691

Axel Kleinschmidt

Thibault Damour, Axel Kleinschmidt, Hermann Nicolai

Constraints and the E10 Coset Model

34 pages

Class.Quant.Grav.24:6097-6120,2007

10.1088/0264-9381/24/23/025

IHES/P/07/30, AEI-2007-138

hep-th

null

We continue the study of the one-dimensional E10 coset model (massless spinning particle motion on E10/K(E10) whose dynamics at low levels is known to coincide with the equations of motion of maximal supergravity theories in appropriate truncations. We show that the coset dynamics (truncated at levels less or equal to three) can be consistently restricted by requiring the vanishing of a set of constraints which are in one-to-one correspondence with the canonical constraints of supergravity. Hence, the resulting constrained sigma-model dynamics captures the full (constrained) supergravity dynamics in this truncation. Remarkably, the bosonic constraints are found to be expressible in a Sugawara-like (current x current) form in terms of the conserved E10 Noether current, and transform covariantly under an upper parabolic subgroup E10+ of E10. We discuss the possible implications of this result, and in particular exhibit a tantalising link with the usual affine Sugawara construction in the truncation of E10 to its affine subgroup E9.

[ { "created": "Mon, 17 Sep 2007 18:23:09 GMT", "version": "v1" } ]

2008-11-26

[ [ "Damour", "Thibault", "" ], [ "Kleinschmidt", "Axel", "" ], [ "Nicolai", "Hermann", "" ] ]

We continue the study of the one-dimensional E10 coset model (massless spinning particle motion on E10/K(E10) whose dynamics at low levels is known to coincide with the equations of motion of maximal supergravity theories in appropriate truncations. We show that the coset dynamics (truncated at levels less or equal to three) can be consistently restricted by requiring the vanishing of a set of constraints which are in one-to-one correspondence with the canonical constraints of supergravity. Hence, the resulting constrained sigma-model dynamics captures the full (constrained) supergravity dynamics in this truncation. Remarkably, the bosonic constraints are found to be expressible in a Sugawara-like (current x current) form in terms of the conserved E10 Noether current, and transform covariantly under an upper parabolic subgroup E10+ of E10. We discuss the possible implications of this result, and in particular exhibit a tantalising link with the usual affine Sugawara construction in the truncation of E10 to its affine subgroup E9.

9.607476

9.931231

11.525627

9.180386

9.6473

9.560318

9.056915

8.862767

8.747771

11.679503

9.366961

9.27404

9.607135

9.037304

9.078058

9.237888

9.393549

9.37228

9.167538

9.681021

9.23391

1505.02367

Dan Radu Grigore

Dan-Radu Grigore

Yang-Mills Models in the Causal Approach: Perturbation Theory up to the Second Order

21 pages, Sinaia Conference 2014

null

hep-th math-ph math.MP

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

We consider the standard model up to the second order of the perturbation theory (in the causal approach) and derive the most general form of the interaction Lagrangian for an arbitrary number of Higgs fields.

[ { "created": "Sun, 10 May 2015 10:49:00 GMT", "version": "v1" } ]

2015-05-12

[ [ "Grigore", "Dan-Radu", "" ] ]

We consider the standard model up to the second order of the perturbation theory (in the causal approach) and derive the most general form of the interaction Lagrangian for an arbitrary number of Higgs fields.

10.014419

8.733689

8.490871

8.093191

8.711361

8.04687

7.997762

7.364035

7.972595

8.700895

7.893505

9.656949

9.433123

8.959829

9.165572

9.213451

9.052559

8.99624

9.110878

9.13329

8.798939

1901.10922

Santiago Migliaccio

Conformal bootstrap in two-dimensional conformal field theories with non-diagonal spectrums

PhD Thesis from Universit\'e Paris-Saclay. Prepared at Universit\'e Paris-Sud. Institut de physique th\'eorique (IPhT), Universit\'e Paris Saclay, CEA, CNRS. Thesis defended on October 10th, 2018. 138 pages. Some of the main results appeared in arXiv:1711.08916. Chapter 6 consists of a summary of the thesis in French. Also at http://www.theses.fr/2018SACLS362 . V2: Corrected reference [23]

null

hep-th

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

In this thesis we study two-dimensional conformal field theories with Virasoro algebra symmetry, following the conformal bootstrap approach. Under the assumption that degenerate fields exist, we provide an extension of the analytic conformal bootstrap method to theories with non-diagonal spectrums. We write the equations that determine structure constants, and find explicit solutions in terms of special functions. We validate this results by numerically computing four-point functions in diagonal and non-diagonal minimal models, and verifying that crossing symmetry is satisfied. In addition, we build a proposal for a family of non-diagonal, non-rational conformal field theories for any central charges such that $\Re{c} < 13$. This proposal is motivated by taking limits of the spectrum of D-series minimal models. We perform numerical computations of four-point functions in these theories, and find that they satisfy crossing symmetry. These theories may be understood as non-diagonal extensions of Liouville theory.

[ { "created": "Wed, 30 Jan 2019 16:09:04 GMT", "version": "v1" }, { "created": "Tue, 5 Feb 2019 16:24:27 GMT", "version": "v2" } ]

2019-02-06

[ [ "Migliaccio", "Santiago", "" ] ]

In this thesis we study two-dimensional conformal field theories with Virasoro algebra symmetry, following the conformal bootstrap approach. Under the assumption that degenerate fields exist, we provide an extension of the analytic conformal bootstrap method to theories with non-diagonal spectrums. We write the equations that determine structure constants, and find explicit solutions in terms of special functions. We validate this results by numerically computing four-point functions in diagonal and non-diagonal minimal models, and verifying that crossing symmetry is satisfied. In addition, we build a proposal for a family of non-diagonal, non-rational conformal field theories for any central charges such that $\Re{c} < 13$. This proposal is motivated by taking limits of the spectrum of D-series minimal models. We perform numerical computations of four-point functions in these theories, and find that they satisfy crossing symmetry. These theories may be understood as non-diagonal extensions of Liouville theory.

7.75338

7.429424

8.583185

7.271448

7.661795

7.152582

7.566412

7.470556

7.482988

8.396683

7.150393

7.444792

7.678888

7.320389

7.27618

7.404853

7.339841

7.433198

7.23536

7.928894

7.341746

2307.05674

Stefan Prohazka

Jos\'e Figueroa-O'Farrill, Alfredo P\'erez, Stefan Prohazka

Quantum Carroll/fracton particles

61 pages, 1 figure; v2: References added, minor modifications

null

EMPG-23-13

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

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

We classify and relate unitary irreducible representations (UIRs) of the Carroll and dipole groups, i.e., we define elementary quantum Carroll and fracton particles and establish a correspondence between them. Whenever possible, we express the UIRs in terms of fields on Carroll/aristotelian spacetime subject to their free field equations. We emphasise that free massive (or "electric") Carroll and fracton quantum field theories are ultralocal field theories and highlight their peculiar and puzzling thermodynamic features. We also comment on subtle differences between massless and "magnetic" Carroll field theories and discuss the importance of Carroll and fractons symmetries for flat space holography.

[ { "created": "Tue, 11 Jul 2023 18:00:02 GMT", "version": "v1" }, { "created": "Tue, 1 Aug 2023 10:48:27 GMT", "version": "v2" } ]

2023-08-02

[ [ "Figueroa-O'Farrill", "José", "" ], [ "Pérez", "Alfredo", "" ], [ "Prohazka", "Stefan", "" ] ]

We classify and relate unitary irreducible representations (UIRs) of the Carroll and dipole groups, i.e., we define elementary quantum Carroll and fracton particles and establish a correspondence between them. Whenever possible, we express the UIRs in terms of fields on Carroll/aristotelian spacetime subject to their free field equations. We emphasise that free massive (or "electric") Carroll and fracton quantum field theories are ultralocal field theories and highlight their peculiar and puzzling thermodynamic features. We also comment on subtle differences between massless and "magnetic" Carroll field theories and discuss the importance of Carroll and fractons symmetries for flat space holography.

16.884541

14.873455

18.78429

15.348363

17.621075

14.6373

16.7862

15.128388

15.323572

19.551971

15.003177

14.928069

15.743635

14.942362

15.121235

15.178759

14.851099

15.125882

15.219781

16.036793

15.387531

hep-th/9401153

Robert Perry

K. G. Wilson, T. Walhout, A. Harindranath, W. M. Zhang, R. J. Perry and S. Glazek

Nonperturbative Light-Front QCD

56 pages (REVTEX), Report OSU-NT-94-28. (figures not included, available via anaonymous ftp from pacific.mps.ohio-state.edu in subdirectory pub/infolight/qcd)

Phys.Rev. D49 (1994) 6720-6766

10.1103/PhysRevD.49.6720

null

hep-th hep-ph nucl-th

null

In this work the determination of low-energy bound states in Quantum Chromodynamics is recast so that it is linked to a weak-coupling problem. This allows one to approach the solution with the same techniques which solve Quantum Electrodynamics: namely, a combination of weak-coupling diagrams and many-body quantum mechanics. The key to eliminating necessarily nonperturbative effects is the use of a bare Hamiltonian in which quarks and gluons have nonzero constituent masses rather than the zero masses of the current picture. The use of constituent masses cuts off the growth of the running coupling constant and makes it possible that the running coupling never leaves the perturbative domain. For stabilization purposes an artificial potential is added to the Hamiltonian, but with a coefficient that vanishes at the physical value of the coupling constant. The weak-coupling approach potentially reconciles the simplicity of the Constituent Quark Model with the complexities of Quantum Chromodynamics. The penalty for achieving this perturbative picture is the necessity of formulating the dynamics of QCD in light-front coordinates and of dealing with the complexities of renormalization which such a formulation entails. We describe the renormalization process first using a qualitative phase space cell analysis, and we then set up a precise similarity renormalization scheme with cutoffs on constituent momenta and exhibit calculations to second order. We outline further computations that remain to be carried out. There is an initial nonperturbative but nonrelativistic calculation of the hadronic masses that determines the artificial potential, with binding energies required to be fourth order in the coupling as in QED. Next there is a calculation of the leading radiative corrections to these masses, which requires our renormalization program. Then the real struggle of finding the right extensions to perturbation theory to study the strong-coupling behavior of bound states can begin.

[ { "created": "Fri, 28 Jan 1994 20:00:43 GMT", "version": "v1" } ]

2009-10-28

[ [ "Wilson", "K. G.", "" ], [ "Walhout", "T.", "" ], [ "Harindranath", "A.", "" ], [ "Zhang", "W. M.", "" ], [ "Perry", "R. J.", "" ], [ "Glazek", "S.", "" ] ]

In this work the determination of low-energy bound states in Quantum Chromodynamics is recast so that it is linked to a weak-coupling problem. This allows one to approach the solution with the same techniques which solve Quantum Electrodynamics: namely, a combination of weak-coupling diagrams and many-body quantum mechanics. The key to eliminating necessarily nonperturbative effects is the use of a bare Hamiltonian in which quarks and gluons have nonzero constituent masses rather than the zero masses of the current picture. The use of constituent masses cuts off the growth of the running coupling constant and makes it possible that the running coupling never leaves the perturbative domain. For stabilization purposes an artificial potential is added to the Hamiltonian, but with a coefficient that vanishes at the physical value of the coupling constant. The weak-coupling approach potentially reconciles the simplicity of the Constituent Quark Model with the complexities of Quantum Chromodynamics. The penalty for achieving this perturbative picture is the necessity of formulating the dynamics of QCD in light-front coordinates and of dealing with the complexities of renormalization which such a formulation entails. We describe the renormalization process first using a qualitative phase space cell analysis, and we then set up a precise similarity renormalization scheme with cutoffs on constituent momenta and exhibit calculations to second order. We outline further computations that remain to be carried out. There is an initial nonperturbative but nonrelativistic calculation of the hadronic masses that determines the artificial potential, with binding energies required to be fourth order in the coupling as in QED. Next there is a calculation of the leading radiative corrections to these masses, which requires our renormalization program. Then the real struggle of finding the right extensions to perturbation theory to study the strong-coupling behavior of bound states can begin.

13.179636

13.987807

13.943726

13.68935

14.103331

13.883794

13.377563

13.662148

13.490375

14.724839

13.713615

13.010216

13.386742

13.27454

13.215289

13.484712

13.201058

13.344121

13.056547

13.578991

13.094173

hep-th/0007103

Adrian Sotomayor

S. Andrea, A. Sotomayor and A. Restuccia

An Operator Valued Extension of the Super KdV Equations

Latex, 14 pages

J.Math.Phys. 42 (2001) 2625-2634

10.1063/1.1368139

null

hep-th

null

An extension of the Super KdV integrable system in terms of operator valued functions is obtained. Following the ideas of Gardner, a general algebraic approach for finding the infinitely many conserved quantities of integrable systems is presented. The approach is applied to the above described system and infinitely many conserved quantities are constructed. In a particular case they reduce to the corresponding conserved quantities of Super KdV.

[ { "created": "Thu, 13 Jul 2000 14:28:37 GMT", "version": "v1" } ]

2009-10-31

[ [ "Andrea", "S.", "" ], [ "Sotomayor", "A.", "" ], [ "Restuccia", "A.", "" ] ]

An extension of the Super KdV integrable system in terms of operator valued functions is obtained. Following the ideas of Gardner, a general algebraic approach for finding the infinitely many conserved quantities of integrable systems is presented. The approach is applied to the above described system and infinitely many conserved quantities are constructed. In a particular case they reduce to the corresponding conserved quantities of Super KdV.

9.420107

8.561112

10.267091

8.449279

8.263395

8.966228

8.927456

8.481926

8.943734

10.847711

8.68731

8.280876

8.715811

8.968765

8.22099

8.588508

8.863968

8.280728

8.67107

8.626493

8.527069

0808.0691

Michele Cicoli

M. Cicoli, C. P. Burgess and F. Quevedo

Fibre Inflation: Observable Gravity Waves from IIB String Compactifications

Extended calculations beyond the leading approximations, including numerical integrations of multi-field evolution; Display an example with $r = 0.01$; Simplify the discussion of large fields; Corrected minor errors and typos; Added references; 41 pages LaTeX, 25 figures

JCAP 0903:013,2009

10.1088/1475-7516/2009/03/013

DAMTP-2008-59

hep-th

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

We introduce a simple string model of inflation, in which the inflaton field can take trans-Planckian values while driving a period of slow-roll inflation. This leads naturally to a realisation of large field inflation, inasmuch as the inflationary epoch is well described by the single-field scalar potential $V = V_0 (3-4 e^{-\hat\varphi/\sqrt{3}})$. Remarkably, for a broad class of vacua all adjustable parameters enter only through the overall coefficient $V_0$, and in particular do not enter into the slow-roll parameters. Consequently these are determined purely by the number of \e-foldings, $N_e$, and so are not independent: $\varepsilon \simeq \frac32 \eta^2$. This implies similar relations among observables like the primordial scalar-to-tensor amplitude, $r$, and the scalar spectral tilt, $n_s$: $r \simeq 6(n_s - 1)^2$. $N_e$ is itself more model-dependent since it depends partly on the post-inflationary reheat history. In a simple reheating scenario a reheating temperature of $T_{rh}\simeq 10^{9}$ GeV gives $N_e\simeq 58$, corresponding to $n_s\simeq 0.970$ and $r\simeq 0.005$, within reach of future observations. The model is an example of a class that arises naturally in the context of type IIB string compactifications with large-volume moduli stabilisation, and takes advantage of the generic existence there of Kahler moduli whose dominant appearance in the scalar potential arises from string loop corrections to the Kahler potential. The inflaton field is a combination of Kahler moduli of a K3-fibered Calabi-Yau manifold. We believe there are likely to be a great number of models in this class -- `high-fibre models' -- in which the inflaton starts off far enough up the fibre to produce observably large primordial gravity waves.

[ { "created": "Tue, 5 Aug 2008 17:17:01 GMT", "version": "v1" }, { "created": "Tue, 18 Nov 2008 15:27:21 GMT", "version": "v2" }, { "created": "Fri, 28 Dec 2012 18:14:34 GMT", "version": "v3" } ]

2015-03-13

[ [ "Cicoli", "M.", "" ], [ "Burgess", "C. P.", "" ], [ "Quevedo", "F.", "" ] ]

We introduce a simple string model of inflation, in which the inflaton field can take trans-Planckian values while driving a period of slow-roll inflation. This leads naturally to a realisation of large field inflation, inasmuch as the inflationary epoch is well described by the single-field scalar potential $V = V_0 (3-4 e^{-\hat\varphi/\sqrt{3}})$. Remarkably, for a broad class of vacua all adjustable parameters enter only through the overall coefficient $V_0$, and in particular do not enter into the slow-roll parameters. Consequently these are determined purely by the number of \e-foldings, $N_e$, and so are not independent: $\varepsilon \simeq \frac32 \eta^2$. This implies similar relations among observables like the primordial scalar-to-tensor amplitude, $r$, and the scalar spectral tilt, $n_s$: $r \simeq 6(n_s - 1)^2$. $N_e$ is itself more model-dependent since it depends partly on the post-inflationary reheat history. In a simple reheating scenario a reheating temperature of $T_{rh}\simeq 10^{9}$ GeV gives $N_e\simeq 58$, corresponding to $n_s\simeq 0.970$ and $r\simeq 0.005$, within reach of future observations. The model is an example of a class that arises naturally in the context of type IIB string compactifications with large-volume moduli stabilisation, and takes advantage of the generic existence there of Kahler moduli whose dominant appearance in the scalar potential arises from string loop corrections to the Kahler potential. The inflaton field is a combination of Kahler moduli of a K3-fibered Calabi-Yau manifold. We believe there are likely to be a great number of models in this class -- `high-fibre models' -- in which the inflaton starts off far enough up the fibre to produce observably large primordial gravity waves.

6.794372

7.425264

6.982979

6.88748

7.380894

7.482893

7.688037

7.141822

6.837054

7.43295

7.114303

6.675389

6.840445

6.683647

6.671906

6.60401

6.55194

6.733855

6.681338

6.60205

6.701165

hep-th/9211109

Jan de Boer

Jan de Boer and Tjark Tjin

Representation theory of finite W algebras

62 pages, THU-92/32, ITFA-28-92

Commun.Math.Phys. 158 (1993) 485-516

10.1007/BF02096800

null

hep-th

null

In this paper we study the finitely generated algebras underlying $W$ algebras. These so called 'finite $W$ algebras' are constructed as Poisson reductions of Kirillov Poisson structures on simple Lie algebras. The inequivalent reductions are labeled by the inequivalent embeddings of $sl_2$ into the simple Lie algebra in question. For arbitrary embeddings a coordinate free formula for the reduced Poisson structure is derived. We also prove that any finite $W$ algebra can be embedded into the Kirillov Poisson algebra of a (semi)simple Lie algebra (generalized Miura map). Furthermore it is shown that generalized finite Toda systems are reductions of a system describing a free particle moving on a group manifold and that they have finite $W$ symmetry. In the second part we BRST quantize the finite $W$ algebras. The BRST cohomology is calculated using a spectral sequence (which is different from the one used by Feigin and Frenkel). This allows us to quantize all finite $W$ algebras in one stroke. Explicit results for $sl_3$ and $sl_4$ are given. In the last part of the paper we study the representation theory of finite $W$ algebras. It is shown, using a quantum version of the generalized Miura transformation, that the representations of finite $W$ algebras can be constructed from the representations of a certain Lie subalgebra of the original simple Lie algebra. As a byproduct of this we are able to construct the Fock realizations of arbitrary finite $W$ algebras.

[ { "created": "Tue, 24 Nov 1992 16:28:20 GMT", "version": "v1" } ]

2009-10-22

[ [ "de Boer", "Jan", "" ], [ "Tjin", "Tjark", "" ] ]

In this paper we study the finitely generated algebras underlying $W$ algebras. These so called 'finite $W$ algebras' are constructed as Poisson reductions of Kirillov Poisson structures on simple Lie algebras. The inequivalent reductions are labeled by the inequivalent embeddings of $sl_2$ into the simple Lie algebra in question. For arbitrary embeddings a coordinate free formula for the reduced Poisson structure is derived. We also prove that any finite $W$ algebra can be embedded into the Kirillov Poisson algebra of a (semi)simple Lie algebra (generalized Miura map). Furthermore it is shown that generalized finite Toda systems are reductions of a system describing a free particle moving on a group manifold and that they have finite $W$ symmetry. In the second part we BRST quantize the finite $W$ algebras. The BRST cohomology is calculated using a spectral sequence (which is different from the one used by Feigin and Frenkel). This allows us to quantize all finite $W$ algebras in one stroke. Explicit results for $sl_3$ and $sl_4$ are given. In the last part of the paper we study the representation theory of finite $W$ algebras. It is shown, using a quantum version of the generalized Miura transformation, that the representations of finite $W$ algebras can be constructed from the representations of a certain Lie subalgebra of the original simple Lie algebra. As a byproduct of this we are able to construct the Fock realizations of arbitrary finite $W$ algebras.

3.875095

4.431096

4.767281

4.411091

4.550826

4.553259

4.630921

4.482561

4.240572

4.928959

4.343253

4.125554

4.361772

4.213696

4.214244

4.228841

4.239578

4.131933

4.158642

4.26052

4.208613

hep-th/9306099

Yo

E. Lopez

Quantum Clifford-Hopf Algebras for Even Dimensions

12 pages, LaTeX, IMAFF-12/93 (final version to be published, 2 uuencoded figures added)

J.Phys. A27 (1994) 845-854

10.1088/0305-4470/27/3/025

null

hep-th

null

In this paper we study the quantum Clifford-Hopf algebras $\widehat{CH_q(D)}$ for even dimensions $D$ and obtain their intertwiner $R-$matrices, which are elliptic solutions to the Yang- Baxter equation. In the trigonometric limit of these new algebras we find the possibility to connect with extended supersymmetry. We also analyze the corresponding spin chain hamiltonian, which leads to Suzuki's generalized $XY$ model.

[ { "created": "Mon, 21 Jun 1993 10:11:53 GMT", "version": "v1" }, { "created": "Thu, 2 Dec 1993 20:43:18 GMT", "version": "v2" } ]

2009-10-22

[ [ "Lopez", "E.", "" ] ]

In this paper we study the quantum Clifford-Hopf algebras $\widehat{CH_q(D)}$ for even dimensions $D$ and obtain their intertwiner $R-$matrices, which are elliptic solutions to the Yang- Baxter equation. In the trigonometric limit of these new algebras we find the possibility to connect with extended supersymmetry. We also analyze the corresponding spin chain hamiltonian, which leads to Suzuki's generalized $XY$ model.

14.092423

12.992178

15.725065

11.876401

11.995767

12.144745

10.931424

12.56961

12.134547

15.08693

10.852747

12.333353

13.138909

11.998346

12.024278

12.671713

12.039967

11.984641

12.124385

13.446023

11.814479

hep-th/0102104

H. Casini

H. Casini, R. Montemayor, Luis F. Urrutia

Dual theories for mixed symmetry fields. Spin-two case: (1,1) versus (2,1) Young symmetry type fields

10 pages, no figures

Phys.Lett. B507 (2001) 336-344

10.1016/S0370-2693(01)00447-6

OUTP-1010P

hep-th

null

We show that the parent Lagrangian method gives a natural generalization of the dual theories concept for non p-form fields. Using this generalization we construct here a three-parameter family of Lagrangians that are dual to the Fierz-Pauli description of a free massive spin-two system. The dual field is a three-index tensor T, which dinamically belongs to the (2,1) representation of the Lorentz group. As expected, the massless limit of our Lagrangian, which is parameter independent, has two propagating degrees of freedom per space point.

[ { "created": "Fri, 16 Feb 2001 20:37:51 GMT", "version": "v1" } ]

2009-11-07

[ [ "Casini", "H.", "" ], [ "Montemayor", "R.", "" ], [ "Urrutia", "Luis F.", "" ] ]

We show that the parent Lagrangian method gives a natural generalization of the dual theories concept for non p-form fields. Using this generalization we construct here a three-parameter family of Lagrangians that are dual to the Fierz-Pauli description of a free massive spin-two system. The dual field is a three-index tensor T, which dinamically belongs to the (2,1) representation of the Lorentz group. As expected, the massless limit of our Lagrangian, which is parameter independent, has two propagating degrees of freedom per space point.

11.162013

10.128009

10.238048

8.400285

10.274559

9.360928

10.590905

8.628206

9.030471

11.021562

9.700727

9.275347

10.23311

9.69552

9.905239

9.296116

9.541644

9.456526

9.968362

10.462218

9.710069

1802.05445

Reza Fareghbal

Reza Fareghbal, Isa Mohammadi

Flat-space Holography and Correlators of Robinson-Trautman Stress tensor

13 pages

null

10.1016/j.aop.2019.167960

null

hep-th

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

We propose a quasi-local stress tensor for the four-dimensional asymptotically flat Robinson-Trautman geometries by taking the flat-space limit from the corresponding asymptotically AdS solutions. This stress tensor results in the correct charges of the generators of BMS symmetry if we define conformal infinity by an anisotropic scaling of the metric components. Using flat-space holography this stress tensor is related to expectation values of the stress tensor in a dual field theory called BMS-invariant field theory (BMSFT). We also calculate the two and three point functions of the proposed stress tensor.

[ { "created": "Thu, 15 Feb 2018 09:31:59 GMT", "version": "v1" } ]

2020-01-08

[ [ "Fareghbal", "Reza", "" ], [ "Mohammadi", "Isa", "" ] ]

We propose a quasi-local stress tensor for the four-dimensional asymptotically flat Robinson-Trautman geometries by taking the flat-space limit from the corresponding asymptotically AdS solutions. This stress tensor results in the correct charges of the generators of BMS symmetry if we define conformal infinity by an anisotropic scaling of the metric components. Using flat-space holography this stress tensor is related to expectation values of the stress tensor in a dual field theory called BMS-invariant field theory (BMSFT). We also calculate the two and three point functions of the proposed stress tensor.

10.394053

9.727973

10.07772

8.460499

9.753217

10.60799

9.599002

9.285859

9.059976

11.933415

9.304413

8.78137

9.718397

9.145124

8.967309

8.945274

9.299899

9.502476

9.038789

10.165749

9.211413

0705.4082

Francesco Toppan

Richard S. Garavuso and Francesco Toppan

Chern-Simons AdS_5 supergravity in a Randall-Sundrum background

15 pages; minor typos corrected

Nucl.Phys.B796:320-330,2008

10.1016/j.nuclphysb.2007.12.010

CBPF-NF-008/07

hep-th gr-qc hep-ph

null

Chern-Simons AdS supergravity theories are gauge theories for the super-AdS group. These theories possess a fermionic symmetry which differs from standard supersymmetry. In this paper, we study five-dimensional Chern-Simons AdS supergravity in a Randall-Sundrum scenario with two Minkowski 3-branes. After making modifications to the D = 5 Chern-Simons AdS supergravity action and fermionic symmetry transformations, we obtain a Z_2-invariant total action S = \tilde{S}_bulk + S_brane and fermionic transformations \tilde{\delta}_\epsilon. While \tilde{\delta}_\epsilon \tilde{S}_bulk = 0, the fermionic symmetry is broken by S_brane. Our total action reduces to the original Randall-Sundrum model when \tilde{S}_bulk is restricted to its gravitational sector. We solve the Killing spinor equations for a bosonic configuration with vanishing su(N) and u(1) gauge fields.

[ { "created": "Mon, 28 May 2007 18:00:28 GMT", "version": "v1" }, { "created": "Wed, 5 Sep 2007 21:15:01 GMT", "version": "v2" } ]

2008-11-26

[ [ "Garavuso", "Richard S.", "" ], [ "Toppan", "Francesco", "" ] ]

Chern-Simons AdS supergravity theories are gauge theories for the super-AdS group. These theories possess a fermionic symmetry which differs from standard supersymmetry. In this paper, we study five-dimensional Chern-Simons AdS supergravity in a Randall-Sundrum scenario with two Minkowski 3-branes. After making modifications to the D = 5 Chern-Simons AdS supergravity action and fermionic symmetry transformations, we obtain a Z_2-invariant total action S = \tilde{S}_bulk + S_brane and fermionic transformations \tilde{\delta}_\epsilon. While \tilde{\delta}_\epsilon \tilde{S}_bulk = 0, the fermionic symmetry is broken by S_brane. Our total action reduces to the original Randall-Sundrum model when \tilde{S}_bulk is restricted to its gravitational sector. We solve the Killing spinor equations for a bosonic configuration with vanishing su(N) and u(1) gauge fields.

6.087776

6.523411

6.366339

5.832114

6.298924

6.114255

6.207138

6.004566

5.640864

6.445507

5.727324

5.799

5.71929

5.540199

5.885268

5.668442

5.840845

5.61632

5.720759

5.872629

5.713439

1801.02801

Shahar Hod

Charged reflecting stars supporting charged massive scalar field configurations

8 pages. Submitted on 22/11/2017

The European Physical Journal C 78, 173 (2017)

10.1140/epjc/s10052-018-5654-y

null

hep-th astro-ph.HE gr-qc

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

The recently published no-hair theorems of Hod, Bhattacharjee, and Sarkar have revealed the intriguing fact that horizonless compact reflecting stars {\it cannot} support spatially regular configurations made of scalar, vector and tensor fields. In the present paper we explicitly prove that the interesting no-hair behavior observed in these studies is not a generic feature of compact reflecting stars. In particular, we shall prove that charged reflecting stars {\it can} support {\it charged} massive scalar field configurations in their exterior spacetime regions. To this end, we solve analytically the characteristic Klein-Gordon wave equation for a linearized charged scalar field of mass $\mu$, charge coupling constant $q$, and spherical harmonic index $l$ in the background of a spherically symmetric compact reflecting star of mass $M$, electric charge $Q$, and radius $R_{\text{s}}\gg M,Q$. Interestingly, it is proved that the discrete set $\{R_{\text{s}}(M,Q,\mu,q,l;n)\}^{n=\infty}_{n=1}$ of star radii that can support the charged massive scalar field configurations is determined by the characteristic zeroes of the confluent hypergeometric function. Following this simple observation, we derive a remarkably compact analytical formula for the discrete spectrum of star radii in the intermediate regime $M\ll R_{\text{s}}\ll 1/\mu$. The analytically derived resonance spectrum is confirmed by direct numerical computations.

[ { "created": "Tue, 9 Jan 2018 05:25:55 GMT", "version": "v1" }, { "created": "Tue, 13 Mar 2018 15:33:24 GMT", "version": "v2" } ]

2018-04-04

[ [ "Hod", "Shahar", "" ] ]

The recently published no-hair theorems of Hod, Bhattacharjee, and Sarkar have revealed the intriguing fact that horizonless compact reflecting stars {\it cannot} support spatially regular configurations made of scalar, vector and tensor fields. In the present paper we explicitly prove that the interesting no-hair behavior observed in these studies is not a generic feature of compact reflecting stars. In particular, we shall prove that charged reflecting stars {\it can} support {\it charged} massive scalar field configurations in their exterior spacetime regions. To this end, we solve analytically the characteristic Klein-Gordon wave equation for a linearized charged scalar field of mass $\mu$, charge coupling constant $q$, and spherical harmonic index $l$ in the background of a spherically symmetric compact reflecting star of mass $M$, electric charge $Q$, and radius $R_{\text{s}}\gg M,Q$. Interestingly, it is proved that the discrete set $\{R_{\text{s}}(M,Q,\mu,q,l;n)\}^{n=\infty}_{n=1}$ of star radii that can support the charged massive scalar field configurations is determined by the characteristic zeroes of the confluent hypergeometric function. Following this simple observation, we derive a remarkably compact analytical formula for the discrete spectrum of star radii in the intermediate regime $M\ll R_{\text{s}}\ll 1/\mu$. The analytically derived resonance spectrum is confirmed by direct numerical computations.

7.00535

7.374156

5.863333

5.639472

6.886014

6.675848

7.783379

5.119097

7.091463

6.004839

7.079255

6.841286

6.405949

6.422204

6.910232

6.613313

6.942368

6.320704

6.851272

6.522768

6.761596

hep-th/0409143

Soumitra SenGupta

Debaprasad Maity, Soumitra SenGupta, Sourav Sur

Spinning Test Particle in Kalb-Ramond background

14 pages, Latex, 5 figures

Eur.Phys.J.C42:453-460,2005

10.1140/epjc/s2005-02297-6

null

hep-th

null

In this work we explore the geodesic deviations of spinning test particles in a string inspired Einstein-Kalb Ramond background. Such a background is known to be equivalent to a spacetime geometry with torsion. We have shown here that the antisymmetric Kalb-Ramond field has significant effect on the geodesic deviation of a spinning test particle. A search for an observational evidence of such an effect in astrophysical experiments may lead to a better undestanding of the geometry of the background spacetime.

[ { "created": "Tue, 14 Sep 2004 12:37:08 GMT", "version": "v1" }, { "created": "Thu, 19 May 2005 09:56:58 GMT", "version": "v2" } ]

2009-01-07

[ [ "Maity", "Debaprasad", "" ], [ "SenGupta", "Soumitra", "" ], [ "Sur", "Sourav", "" ] ]

In this work we explore the geodesic deviations of spinning test particles in a string inspired Einstein-Kalb Ramond background. Such a background is known to be equivalent to a spacetime geometry with torsion. We have shown here that the antisymmetric Kalb-Ramond field has significant effect on the geodesic deviation of a spinning test particle. A search for an observational evidence of such an effect in astrophysical experiments may lead to a better undestanding of the geometry of the background spacetime.

8.698877

7.913583

7.476345

6.87235

7.967837

8.019089

7.554323

7.441376

7.57482

7.643282

7.28357

7.662288

7.257803

7.393287

7.576424

7.560338

7.379346

7.0624

7.35907

7.389773

7.509613

hep-th/9712014

Ricardo Amorim

R. Amorim, N.R.F.Braga and R. Thibes

Axial and gauge anomalies in the field antifield quantization of the generalized Schwinger model

Enlarged final version, to be published in J. Phys. A. Latex file, 9 pages

null

hep-th

null

In the generalized Schwinger model the vector and axial vector currents are linearly coupled, with arbitrary coefficients, to the gauge connection. Therefore it represents an interesting example of a theory where both gauge anomalies and anomalous diver gences of global currents show up in general. We derive results for these two kinds of quantum corrections inside the field antifield framework.

[ { "created": "Mon, 1 Dec 1997 16:55:01 GMT", "version": "v1" }, { "created": "Mon, 23 Nov 1998 17:10:30 GMT", "version": "v2" } ]

2007-05-23

[ [ "Amorim", "R.", "" ], [ "Braga", "N. R. F.", "" ], [ "Thibes", "R.", "" ] ]

In the generalized Schwinger model the vector and axial vector currents are linearly coupled, with arbitrary coefficients, to the gauge connection. Therefore it represents an interesting example of a theory where both gauge anomalies and anomalous diver gences of global currents show up in general. We derive results for these two kinds of quantum corrections inside the field antifield framework.

23.221159

21.912109

24.224194

24.840712

28.724419

22.927862

24.325588

21.503267

21.146488

27.567762

22.518093

20.22472

23.450991

22.7988

22.758913

21.809917

21.46867

21.415497

22.354923

24.651966

20.905552

2110.14670

Ronak M Soni

Evan Coleman, Edward A. Mazenc, Vasudev Shyam, Eva Silverstein, Ronak M Soni, Gonzalo Torroba and Sungyeon Yang

de Sitter Microstates from $T\bar T+\Lambda_2$ and the Hawking-Page Transition

23+7 pages. 3 figures

null

10.1007/JHEP07(2022)140

null

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

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

We obtain microstates accounting for the Gibbons-Hawking entropy in $dS_3$, along with a subleading logarithmic correction, from the solvable $T\bar T+\Lambda_2$ deformation of a seed CFT with sparse light spectrum. The microstates arise as the dressed CFT states near dimension $\Delta=c/6$, associated with the Hawking-Page transition; they dominate the real spectrum of the deformed theory. We exhibit an analogue of the Hawking-Page transition in de Sitter. Appropriate generalizations of the $T\bar T+\Lambda_2$ deformation are required to treat model-dependent local bulk physics (subleading at large central charge) and higher dimensions. These results add considerably to the already strong motivation for the continued pursuit of such generalizations along with a more complete characterization of $T\bar T$ type theories, building from existing results in these directions.

[ { "created": "Wed, 27 Oct 2021 18:00:11 GMT", "version": "v1" }, { "created": "Mon, 7 Mar 2022 18:10:17 GMT", "version": "v2" } ]

2022-08-01

[ [ "Coleman", "Evan", "" ], [ "Mazenc", "Edward A.", "" ], [ "Shyam", "Vasudev", "" ], [ "Silverstein", "Eva", "" ], [ "Soni", "Ronak M", "" ], [ "Torroba", "Gonzalo", "" ], [ "Yang", "Sungyeon", "" ] ]

We obtain microstates accounting for the Gibbons-Hawking entropy in $dS_3$, along with a subleading logarithmic correction, from the solvable $T\bar T+\Lambda_2$ deformation of a seed CFT with sparse light spectrum. The microstates arise as the dressed CFT states near dimension $\Delta=c/6$, associated with the Hawking-Page transition; they dominate the real spectrum of the deformed theory. We exhibit an analogue of the Hawking-Page transition in de Sitter. Appropriate generalizations of the $T\bar T+\Lambda_2$ deformation are required to treat model-dependent local bulk physics (subleading at large central charge) and higher dimensions. These results add considerably to the already strong motivation for the continued pursuit of such generalizations along with a more complete characterization of $T\bar T$ type theories, building from existing results in these directions.

15.890203

14.679058

16.122023

14.195337

14.398435

13.285637

14.160466

13.600849

13.884395

18.822067

14.13952

14.62456

15.177678

14.508373

14.773997

14.714291

14.870679

14.675923

14.357786

15.466071

14.348498

2005.08143

Oswaldo Monteiro Del Cima

M.B. Alves, O.M. Del Cima, D.H.T. Franco

On the stability and spectral properties of the two-dimensional Brown-Ravenhall operator with a short-range potential

24 pages

null

hep-th cond-mat.str-el math-ph math.MP quant-ph

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

The Brown-Ravenhall operator was initially proposed as an alternative to describe the fermion-fermion interaction via Coulomb potential and subject to relativity. This operator is defined in terms of the associated Dirac operator and the projection onto the positive spectral subspace of the free Dirac operator. In this paper, we propose to analyze a modified version of the Brown-Ravenhall operator in two-dimensions. More specifically, we consider the Brown-Ravenhall operator with a short-range attractive potential given by a Bessel-Macdonald function (also known as $K_0$-potential) using the Foldy-Wouthuysen unitary transformation. Initially, we prove that the two-dimensional Brown-Ravenhall operator with $K_0$-potential is bounded from below when the coupling constant is below a specified critical value (a property also referred to as stability). A major feature of this model is the fact that it does not cease to be bounded below even if the coupling constant is above the specified critical value. We also investigate the nature of the spectrum of this operator, in particular the location of the essential spectrum, and the existence of eigenvalues, which are either isolated from the essential spectrum or embedded in it.

[ { "created": "Sun, 17 May 2020 01:30:53 GMT", "version": "v1" }, { "created": "Wed, 7 Sep 2022 18:51:01 GMT", "version": "v2" } ]

2022-09-09

[ [ "Alves", "M. B.", "" ], [ "Del Cima", "O. M.", "" ], [ "Franco", "D. H. T.", "" ] ]

The Brown-Ravenhall operator was initially proposed as an alternative to describe the fermion-fermion interaction via Coulomb potential and subject to relativity. This operator is defined in terms of the associated Dirac operator and the projection onto the positive spectral subspace of the free Dirac operator. In this paper, we propose to analyze a modified version of the Brown-Ravenhall operator in two-dimensions. More specifically, we consider the Brown-Ravenhall operator with a short-range attractive potential given by a Bessel-Macdonald function (also known as $K_0$-potential) using the Foldy-Wouthuysen unitary transformation. Initially, we prove that the two-dimensional Brown-Ravenhall operator with $K_0$-potential is bounded from below when the coupling constant is below a specified critical value (a property also referred to as stability). A major feature of this model is the fact that it does not cease to be bounded below even if the coupling constant is above the specified critical value. We also investigate the nature of the spectrum of this operator, in particular the location of the essential spectrum, and the existence of eigenvalues, which are either isolated from the essential spectrum or embedded in it.

6.436975

6.809383

6.601373

6.627463

7.062406

6.787199

6.66209

6.85615

6.318641

6.614735

6.327965

6.061193

6.200871

5.938147

6.08253

5.956612

6.093285

6.126368

6.113414

6.181823

5.773946

hep-th/0111119

Misha Vasiliev

M.A. Vasiliev

Relativity, Causality, Locality, Quantization and Duality in the $Sp(2M)$ Invariant Generalized Space-Time

Latex, 47 pages; Contribution to the Marinov's Memorial Volume, M.Olshanetsky and A.Vainshtein Eds, World Scientific; v2. Typos corrected, reference and acknowledgment added, clarifying remarks and one formula in section 9 added

null

10.1142/9789812777065_0044

null

hep-th

null

We analyze properties of the Sp(2M) conformally invariant field equations in the recently proposed generalized $\half M(M+1)$-dimensional space-time $\M_M$ with matrix coordinates. It is shown that classical solutions of these field equations define a causal structure in $\M_M$ and admit a well-defined decomposition into positive and negative frequency solutions that allows consistent quantization in a positive definite Hilbert space. The effect of constraints on the localizability of fields in the generalized space-time is analyzed. Usual d-dimensional Minkowski space-time is identified with the subspace of the matrix space $\M_M$ that allows true localization of the dynamical fields. Minkowski coordinates are argued to be associated with some Clifford algebra in the matrix space $\M_M$. The dynamics of a conformal scalar and spinor in $\M_2$ and $\M_4$ is shown to be equivalent, respectively, to the usual conformal field dynamics of a scalar and spinor in the 3d Minkowski space-time and the dynamics of massless fields of all spins in the 4d Minkowski space-time. An extension of the electro-magnetic duality transformations to all spins is identified with a particular generalized Lorentz transformation in $\M_4$. The M=8 case is shown to correspond to a 6d chiral higher spin theory. The cases of M=16 (d=10) and M=32 (d=11) are discussed briefly.

[ { "created": "Tue, 13 Nov 2001 16:39:14 GMT", "version": "v1" }, { "created": "Wed, 19 Dec 2001 16:36:59 GMT", "version": "v2" } ]

2016-11-23

[ [ "Vasiliev", "M. A.", "" ] ]

We analyze properties of the Sp(2M) conformally invariant field equations in the recently proposed generalized $\half M(M+1)$-dimensional space-time $\M_M$ with matrix coordinates. It is shown that classical solutions of these field equations define a causal structure in $\M_M$ and admit a well-defined decomposition into positive and negative frequency solutions that allows consistent quantization in a positive definite Hilbert space. The effect of constraints on the localizability of fields in the generalized space-time is analyzed. Usual d-dimensional Minkowski space-time is identified with the subspace of the matrix space $\M_M$ that allows true localization of the dynamical fields. Minkowski coordinates are argued to be associated with some Clifford algebra in the matrix space $\M_M$. The dynamics of a conformal scalar and spinor in $\M_2$ and $\M_4$ is shown to be equivalent, respectively, to the usual conformal field dynamics of a scalar and spinor in the 3d Minkowski space-time and the dynamics of massless fields of all spins in the 4d Minkowski space-time. An extension of the electro-magnetic duality transformations to all spins is identified with a particular generalized Lorentz transformation in $\M_4$. The M=8 case is shown to correspond to a 6d chiral higher spin theory. The cases of M=16 (d=10) and M=32 (d=11) are discussed briefly.

7.640678

7.60911

8.369257

7.199437

7.465108

7.348999

7.158706

7.157494

7.163373

8.342254

6.728231

7.21088

7.653629

7.319122

7.413436

7.365358

7.218541

7.5211

7.342255

7.883323

7.204364

hep-th/0212329

Hitoshi Nishino

Hitoshi Nishino and Subhash Rajpoot

Noncommutative Nonlinear Supersymmetry

18 pages, no figures, the misleading expression "D=2,3,4 and 6 (mod 8)" in Abstract, the main text and Concluding Remarks corrected, and one reference [21] added

null

CSULB-PA-02-6

hep-th

null

We present noncommutative nonlinear supersymmetric theories. The first example is a non-polynomial Akulov-Volkov-type lagrangian with noncommutative nonlinear global supersymmetry in arbitrary space-time dimensions. The second example is the generalization of this lagrangian to Dirac-Born-Infeld lagrangian with nonlinear supersymmetry realized in dimensions D=2,3,4, 6 and 10.

[ { "created": "Sun, 29 Dec 2002 22:41:03 GMT", "version": "v1" }, { "created": "Wed, 19 Feb 2003 03:26:09 GMT", "version": "v2" } ]

2007-05-23

[ [ "Nishino", "Hitoshi", "" ], [ "Rajpoot", "Subhash", "" ] ]

We present noncommutative nonlinear supersymmetric theories. The first example is a non-polynomial Akulov-Volkov-type lagrangian with noncommutative nonlinear global supersymmetry in arbitrary space-time dimensions. The second example is the generalization of this lagrangian to Dirac-Born-Infeld lagrangian with nonlinear supersymmetry realized in dimensions D=2,3,4, 6 and 10.

8.186593

8.154817

8.168253

7.02008

6.900526

7.667881

7.570574

7.042897

7.049575

8.76224

6.429092

7.543604

8.877247

7.651659

7.769362

7.585593

7.734415

8.058679

7.945075

7.866346

7.321813

hep-th/9603098

Cirillo Emilio

Emilio N. M. Cirillo, E. Olivieri

Renormalization-group at criticality and complete analyticity of constrained models: a numerical study

39 pages, teX file, 4 Postscript figures, 1 TeX figure

Journ. Stat. Phys. 86, (1997)

10.1007/BF02183617

Bari-th/96-228, CARR4/96

hep-th cond-mat

null

We study the majority rule transformation applied to the Gibbs measure for the 2--D Ising model at the critical point. The aim is to show that the renormalized hamiltonian is well defined in the sense that the renormalized measure is Gibbsian. We analyze the validity of Dobrushin-Shlosman Uniqueness (DSU) finite-size condition for the "constrained models" corresponding to different configurations of the "image" system. It is known that DSU implies, in our 2--D case, complete analyticity from which, as it has been recently shown by Haller and Kennedy, Gibbsianness follows. We introduce a Monte Carlo algorithm to compute an upper bound to Vasserstein distance (appearing in DSU) between finite volume Gibbs measures with different boundary conditions. We get strong numerical evidence that indeed DSU condition is verified for a large enough volume $V$ for all constrained models.

[ { "created": "Thu, 14 Mar 1996 17:01:48 GMT", "version": "v1" }, { "created": "Fri, 15 Mar 1996 08:43:32 GMT", "version": "v2" } ]

2009-10-30

[ [ "Cirillo", "Emilio N. M.", "" ], [ "Olivieri", "E.", "" ] ]

We study the majority rule transformation applied to the Gibbs measure for the 2--D Ising model at the critical point. The aim is to show that the renormalized hamiltonian is well defined in the sense that the renormalized measure is Gibbsian. We analyze the validity of Dobrushin-Shlosman Uniqueness (DSU) finite-size condition for the "constrained models" corresponding to different configurations of the "image" system. It is known that DSU implies, in our 2--D case, complete analyticity from which, as it has been recently shown by Haller and Kennedy, Gibbsianness follows. We introduce a Monte Carlo algorithm to compute an upper bound to Vasserstein distance (appearing in DSU) between finite volume Gibbs measures with different boundary conditions. We get strong numerical evidence that indeed DSU condition is verified for a large enough volume $V$ for all constrained models.

11.25586

15.187516

13.492764

12.264365

15.452588

14.035658

13.89889

13.536911

12.640052

14.705466

11.758429

10.950709

11.224212

11.234056

10.859927

10.828876

11.430658

11.620843

11.233624

11.537843

10.694221