LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9802061

Frederic Lesage

F. Lesage, H. Saleur, P. Simonetti

Boundary flows in minimal models

13pgs, harvmac, 2 figs

Phys.Lett. B427 (1998) 85-92

10.1016/S0370-2693(98)00324-4

null

hep-th cond-mat nlin.SI solv-int

null

We discuss in this paper the behaviour of minimal models of conformal theory perturbed by the operator $\Phi_{13}$ at the boundary. Using the RSOS restriction of the sine-Gordon model, adapted to the boundary problem, a series of boundary flows between different set of conformally invariant boundary conditions are described. Generalizing the "staircase" phenomenon discovered by Al. Zamolodchikov, we find that an analytic continuation of the boundary sinh-Gordon model provides a flow interpolation not only between all minimal models in the bulk, but also between their possible conformal boundary conditions. In the particular case where the bulk sinh-Gordon coupling is turned to zero, we obtain a boundary roaming trajectory in the $c=1$ theory that interpolates between all the possible spin $S$ Kondo models.

[ { "created": "Tue, 10 Feb 1998 06:35:17 GMT", "version": "v1" } ]

2009-10-31

[ [ "Lesage", "F.", "" ], [ "Saleur", "H.", "" ], [ "Simonetti", "P.", "" ] ]

We discuss in this paper the behaviour of minimal models of conformal theory perturbed by the operator $\Phi_{13}$ at the boundary. Using the RSOS restriction of the sine-Gordon model, adapted to the boundary problem, a series of boundary flows between different set of conformally invariant boundary conditions are described. Generalizing the "staircase" phenomenon discovered by Al. Zamolodchikov, we find that an analytic continuation of the boundary sinh-Gordon model provides a flow interpolation not only between all minimal models in the bulk, but also between their possible conformal boundary conditions. In the particular case where the bulk sinh-Gordon coupling is turned to zero, we obtain a boundary roaming trajectory in the $c=1$ theory that interpolates between all the possible spin $S$ Kondo models.

11.076859

10.637417

14.780878

10.213491

11.706174

10.97915

10.378917

11.181101

9.96811

14.179991

10.405703

9.967153

11.435402

10.455278

10.979134

10.476408

10.782679

10.189081

10.36461

11.318446

10.181231

1010.1988

Daniel Elander

Aspects of Gauge-Gravity Duality

Ph.D. Thesis. 119 pages. 13 figures

null

hep-th

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

In this Ph.D. thesis, we study various backgrounds in Type IIB supergravity which admit interpretations in terms a dual field theory, and compute properties such as effective potentials and spectra, using both holographic and field theoretic methods. First, we study the phase structure of beta-deformed N=4 SYM on S3 at weak and strong 't Hooft coupling. We compute the one-loop effective potential, and find that at near critical chemical potential and small finite temperature, there is a metastable state at the origin of moduli space. We derive the gravitational background describing the theory at strong coupling, and by performing a probe-brane calculation, we find qualitative agreement between the weak and strong coupling results. Next, we study gravitational backgrounds obtained by wrapping Nc D5 color branes on an S2 inside a CY3-fold, and Nf D5 backreacting flavor branes on a non-compact two-cycle inside the same CY3-fold. These backgrounds are believed to be dual to certain SQCD-like theories. We compute how the spectrum depends on the number of flavors, and find that the mass of the lightest scalar glueball increases with the number of flavors until the point Nf=2Nc is reached after which the opposite behaviour is observed. Finally, we consider a class of backgrounds that exhibit walking behaviour, i.e. a suitably defined four-dimensional gauge coupling stays nearly constant in an intermediate energy regime. The breaking of approximate scale invariance has been conjectured to lead to the existence of a light scalar in the spectrum. This so-called dilaton would be the pseudo-Goldstone boson of dilatations. Using holographic techniques, we compute the spectrum and find a light state whose mass is suppressed by the length of the walking region, suggesting that this might be the dilaton.

[ { "created": "Mon, 11 Oct 2010 02:43:15 GMT", "version": "v1" } ]

2010-10-12

[ [ "Elander", "Daniel", "" ] ]

In this Ph.D. thesis, we study various backgrounds in Type IIB supergravity which admit interpretations in terms a dual field theory, and compute properties such as effective potentials and spectra, using both holographic and field theoretic methods. First, we study the phase structure of beta-deformed N=4 SYM on S3 at weak and strong 't Hooft coupling. We compute the one-loop effective potential, and find that at near critical chemical potential and small finite temperature, there is a metastable state at the origin of moduli space. We derive the gravitational background describing the theory at strong coupling, and by performing a probe-brane calculation, we find qualitative agreement between the weak and strong coupling results. Next, we study gravitational backgrounds obtained by wrapping Nc D5 color branes on an S2 inside a CY3-fold, and Nf D5 backreacting flavor branes on a non-compact two-cycle inside the same CY3-fold. These backgrounds are believed to be dual to certain SQCD-like theories. We compute how the spectrum depends on the number of flavors, and find that the mass of the lightest scalar glueball increases with the number of flavors until the point Nf=2Nc is reached after which the opposite behaviour is observed. Finally, we consider a class of backgrounds that exhibit walking behaviour, i.e. a suitably defined four-dimensional gauge coupling stays nearly constant in an intermediate energy regime. The breaking of approximate scale invariance has been conjectured to lead to the existence of a light scalar in the spectrum. This so-called dilaton would be the pseudo-Goldstone boson of dilatations. Using holographic techniques, we compute the spectrum and find a light state whose mass is suppressed by the length of the walking region, suggesting that this might be the dilaton.

7.229634

6.813466

7.920824

6.379

7.256253

7.023655

6.913429

6.847758

6.615747

8.15806

6.421599

6.777892

7.294559

6.771806

6.834957

7.024755

7.060345

7.033567

6.775479

7.241184

6.854635

hep-th/0005239

Kazuya Koyama

Kazuya Koyama and Jiro Soda

Evolution of Cosmological Perturbations in the Brane World

28 pages, 4 figures, typos in published version are corrected

Phys.Rev. D62 (2000) 123502

10.1103/PhysRevD.62.123502

KUCP0155

hep-th astro-ph gr-qc

null

The evolution of the cosmological perturbations is studied in the context of the Randall-Sundrum brane world scenario, in which our universe is realized on a three-brane in the five dimensional Anti-de Sitter(AdS) spacetime. We develop a formalism to solve the coupled dynamics of the cosmological perturbations in the brane world and the gravitational wave in the AdS bulk. Using our formalism, the late time evolution of the cosmological scalar perturbations at any scales larger than the AdS curvature scale $l$ is shown to be identical with the one obtained in the conventional 4D cosmology, provided the effect of heavy graviton modes may be neglected. Here the late time means the epoch when the Hubble horizon $H^{-1}$ in the 4D brane world is sufficiently larger than the AdS curvature scale $l$. If the inflation occurs sufficiently lower than $l^{-1}$, the scalar temperature anisotropies in the Cosmic Microwave Background at large scales can be calculated using the constancy of the Bardeen parameter as is done in the 4D cosmology. The assumption of the result is that the effect of the massive graviton with mass $m e^{-\alpha_0}>l^{-1}$ in the brane world is negligible, where $e^{\alpha_0}$ is the scale factor of the brane world. We also discuss the effect of these massive gravitons on the evolution of the perturbations.

[ { "created": "Thu, 25 May 2000 14:17:15 GMT", "version": "v1" }, { "created": "Tue, 30 May 2000 11:07:15 GMT", "version": "v2" }, { "created": "Thu, 17 Aug 2000 02:07:31 GMT", "version": "v3" }, { "created": "Tue, 22 May 2001 11:43:52 GMT", "version": "v4" }, { "created": "Wed, 6 Jun 2001 10:05:22 GMT", "version": "v5" }, { "created": "Wed, 1 Aug 2001 08:47:51 GMT", "version": "v6" } ]

2009-10-31

[ [ "Koyama", "Kazuya", "" ], [ "Soda", "Jiro", "" ] ]

The evolution of the cosmological perturbations is studied in the context of the Randall-Sundrum brane world scenario, in which our universe is realized on a three-brane in the five dimensional Anti-de Sitter(AdS) spacetime. We develop a formalism to solve the coupled dynamics of the cosmological perturbations in the brane world and the gravitational wave in the AdS bulk. Using our formalism, the late time evolution of the cosmological scalar perturbations at any scales larger than the AdS curvature scale $l$ is shown to be identical with the one obtained in the conventional 4D cosmology, provided the effect of heavy graviton modes may be neglected. Here the late time means the epoch when the Hubble horizon $H^{-1}$ in the 4D brane world is sufficiently larger than the AdS curvature scale $l$. If the inflation occurs sufficiently lower than $l^{-1}$, the scalar temperature anisotropies in the Cosmic Microwave Background at large scales can be calculated using the constancy of the Bardeen parameter as is done in the 4D cosmology. The assumption of the result is that the effect of the massive graviton with mass $m e^{-\alpha_0}>l^{-1}$ in the brane world is negligible, where $e^{\alpha_0}$ is the scale factor of the brane world. We also discuss the effect of these massive gravitons on the evolution of the perturbations.

5.123747

5.152157

5.437201

4.929828

5.375058

5.735981

5.523363

5.150012

5.196899

5.600286

5.307559

4.940769

4.916041

4.939337

4.88769

5.017354

5.049205

4.907402

4.996796

5.03363

5.037025

1403.4553

N. E. J. Bjerrum-Bohr

N. E. J Bjerrum-Bohr, P. H. Damgaard, P. Tourkine and P. Vanhove

Scattering Equations and String Theory Amplitudes

v2: 18 pp, 1 figure, added clarifications and comments. Version to be published in PRD

null

10.1103/PhysRevD.90.106002

IHES/P/14/11, IPTH-t14/030

hep-th hep-ph

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

Scattering equations for tree-level amplitudes are viewed in the context of string theory. As a result of the comparison we are led to define a new dual model which coincides with string theory in both the small and large $\alpha'$ limit, and whose solution is found algebraically on the surface of solutions to the scattering equations. Because it has support only on the scattering equations, it can be solved exactly, yielding a simple resummed model for $\alpha'$-corrections to all orders. We use the same idea to generalize scattering equations to amplitudes with fermions and any mixture of scalars, gluons and fermions. In all cases checked we find exact agreement with known results.

[ { "created": "Tue, 18 Mar 2014 17:54:32 GMT", "version": "v1" }, { "created": "Mon, 20 Oct 2014 22:31:54 GMT", "version": "v2" } ]

2015-06-19

[ [ "Bjerrum-Bohr", "N. E. J", "" ], [ "Damgaard", "P. H.", "" ], [ "Tourkine", "P.", "" ], [ "Vanhove", "P.", "" ] ]

Scattering equations for tree-level amplitudes are viewed in the context of string theory. As a result of the comparison we are led to define a new dual model which coincides with string theory in both the small and large $\alpha'$ limit, and whose solution is found algebraically on the surface of solutions to the scattering equations. Because it has support only on the scattering equations, it can be solved exactly, yielding a simple resummed model for $\alpha'$-corrections to all orders. We use the same idea to generalize scattering equations to amplitudes with fermions and any mixture of scalars, gluons and fermions. In all cases checked we find exact agreement with known results.

12.06543

11.592686

11.496366

10.820343

11.469161

11.698586

11.520041

10.922354

10.933176

11.957829

10.409567

10.254768

10.339521

10.086903

10.187547

10.234161

9.952262

10.085226

10.228819

10.923075

10.151229

2005.09522

Marco Stefano Bianchi

Marco S. Bianchi

On three-point functions in ABJM and the latitude Wilson loop

42 pages

null

10.1007/JHEP10(2020)075

null

hep-th

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

I consider three-point functions of twist-one operators in ABJM at weak coupling. I compute the structure constant of correlators involving one twist-one un-protected operator and two protected ones for a few finite values of the spin, up to two-loop order. As an application I enforce a limit on the gauge group ranks, in which I relate the structure constant for three chiral primary operators to the expectation value of a supersymmetric Wilson loop. Such a relation is then used to perform a successful five-loop test on the matrix model conjectured to describe the supersymmetric Wilson loop.

[ { "created": "Tue, 19 May 2020 15:30:00 GMT", "version": "v1" } ]

2020-10-28

[ [ "Bianchi", "Marco S.", "" ] ]

I consider three-point functions of twist-one operators in ABJM at weak coupling. I compute the structure constant of correlators involving one twist-one un-protected operator and two protected ones for a few finite values of the spin, up to two-loop order. As an application I enforce a limit on the gauge group ranks, in which I relate the structure constant for three chiral primary operators to the expectation value of a supersymmetric Wilson loop. Such a relation is then used to perform a successful five-loop test on the matrix model conjectured to describe the supersymmetric Wilson loop.

13.22892

10.279291

15.472765

10.861946

11.742608

11.837381

10.921778

11.208648

10.778887

14.424965

11.904363

11.309

13.380258

11.495949

11.434104

11.805323

11.250127

11.922805

10.916329

12.976307

11.450529

2009.12965

Korkut Bardakci

K.Bardakci

More About QCD 3 On The World Sheet

27 pages, 3 figures. arXiv admin note: text overlap with arXiv:1905.05294

null

hep-th

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

In this article, we extend the world sheet treatment of planar QCD in 1+2 dimensions from an earlier work. The starting point is a field theory that lives on the world sheet, parametrized by the light cone variables. In the present work, we generalize and extend the variational approach introduced earlier to get sharper results. An iterative solution to the variational equations leads to a solitonic ground state, and fluctuations around this ground state signals formation of a string on the world sheet. At high energies, the asymptotic limit of the string trajectory is linear, with calculable corrections at lower energies.

[ { "created": "Sun, 27 Sep 2020 22:08:58 GMT", "version": "v1" } ]

2020-09-29

[ [ "Bardakci", "K.", "" ] ]

In this article, we extend the world sheet treatment of planar QCD in 1+2 dimensions from an earlier work. The starting point is a field theory that lives on the world sheet, parametrized by the light cone variables. In the present work, we generalize and extend the variational approach introduced earlier to get sharper results. An iterative solution to the variational equations leads to a solitonic ground state, and fluctuations around this ground state signals formation of a string on the world sheet. At high energies, the asymptotic limit of the string trajectory is linear, with calculable corrections at lower energies.

12.90064

11.955768

12.895302

11.498992

12.054271

11.803625

12.605969

12.175333

12.067966

13.29493

11.974068

11.659971

12.058332

12.07031

12.136816

11.929942

12.028146

11.647788

11.743367

12.326591

12.042857

1912.02817

Ryan Thorngren

Ryan Thorngren, Yifan Wang

Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases

53 pages, 7 figures

null

hep-th cond-mat.str-el math.QA

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

We study generalized discrete symmetries of quantum field theories in 1+1D generated by topological defect lines with no inverse. In particular, we describe 't Hooft anomalies and classify gapped phases stabilized by these symmetries, including new 1+1D topological phases. The algebra of these operators is not a group but rather is described by their fusion ring and crossing relations, captured algebraically as a fusion category. Such data defines a Turaev-Viro/Levin-Wen model in 2+1D, while a 1+1D system with this fusion category acting as a global symmetry defines a boundary condition. This is akin to gauging a discrete global symmetry at the boundary of Dijkgraaf-Witten theory. We describe how to "ungauge" the fusion category symmetry in these boundary conditions and separate the symmetry-preserving phases from the symmetry-breaking ones. For Tambara-Yamagami categories and their generalizations, which are associated with Kramers-Wannier-like self-dualities under orbifolding, we develop gauge theoretic techniques which simplify the analysis. We include some examples of CFTs with fusion category symmetry derived from Kramers-Wannier-like dualities as an appetizer for the Part II companion paper.

[ { "created": "Thu, 5 Dec 2019 18:59:58 GMT", "version": "v1" } ]

2019-12-06

[ [ "Thorngren", "Ryan", "" ], [ "Wang", "Yifan", "" ] ]

We study generalized discrete symmetries of quantum field theories in 1+1D generated by topological defect lines with no inverse. In particular, we describe 't Hooft anomalies and classify gapped phases stabilized by these symmetries, including new 1+1D topological phases. The algebra of these operators is not a group but rather is described by their fusion ring and crossing relations, captured algebraically as a fusion category. Such data defines a Turaev-Viro/Levin-Wen model in 2+1D, while a 1+1D system with this fusion category acting as a global symmetry defines a boundary condition. This is akin to gauging a discrete global symmetry at the boundary of Dijkgraaf-Witten theory. We describe how to "ungauge" the fusion category symmetry in these boundary conditions and separate the symmetry-preserving phases from the symmetry-breaking ones. For Tambara-Yamagami categories and their generalizations, which are associated with Kramers-Wannier-like self-dualities under orbifolding, we develop gauge theoretic techniques which simplify the analysis. We include some examples of CFTs with fusion category symmetry derived from Kramers-Wannier-like dualities as an appetizer for the Part II companion paper.

9.184251

9.545757

11.373485

9.018157

9.799587

9.495387

9.782223

8.991531

9.563969

12.961777

9.088967

8.994805

9.798251

8.787873

9.274098

9.065464

8.961039

9.048818

8.663391

9.854751

8.674008

0906.3033

Pablo G. Camara

Pablo G. Camara, Fernando Marchesano

Open string wavefunctions in flux compactifications

89 pages, 4 figures. v3: more typos corrected, version published in JHEP

null

10.1088/1126-6708/2009/10/017

CPHT-RR0470605, CERN-PH-TH/2009-074

hep-th

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

We consider compactifications of type I supergravity on manifolds with SU(3) structure, in the presence of RR fluxes and magnetized D9-branes, and analyze the generalized Dirac and Laplace-Beltrami operators associated to the D9-brane worldvolume fields. These compactifications are T-dual to standard type IIB toroidal orientifolds with NSNS and RR 3-form fluxes and D3/D7 branes. By using techniques of representation theory and harmonic analysis, the spectrum of open string wavefunctions can be computed for Lie groups and their quotients, as we illustrate with explicit twisted tori examples. We find a correspondence between irreducible unitary representations of the Kaloper-Myers algebra and families of Kaluza-Klein excitations. We perform the computation of 2- and 3-point couplings for matter fields in the above flux compactifications, and compare our results with those of 4d effective supergravity.

[ { "created": "Wed, 17 Jun 2009 18:37:22 GMT", "version": "v1" }, { "created": "Tue, 7 Jul 2009 20:11:21 GMT", "version": "v2" }, { "created": "Thu, 17 Sep 2009 10:40:11 GMT", "version": "v3" } ]

2015-05-13

[ [ "Camara", "Pablo G.", "" ], [ "Marchesano", "Fernando", "" ] ]

We consider compactifications of type I supergravity on manifolds with SU(3) structure, in the presence of RR fluxes and magnetized D9-branes, and analyze the generalized Dirac and Laplace-Beltrami operators associated to the D9-brane worldvolume fields. These compactifications are T-dual to standard type IIB toroidal orientifolds with NSNS and RR 3-form fluxes and D3/D7 branes. By using techniques of representation theory and harmonic analysis, the spectrum of open string wavefunctions can be computed for Lie groups and their quotients, as we illustrate with explicit twisted tori examples. We find a correspondence between irreducible unitary representations of the Kaloper-Myers algebra and families of Kaluza-Klein excitations. We perform the computation of 2- and 3-point couplings for matter fields in the above flux compactifications, and compare our results with those of 4d effective supergravity.

8.572935

6.987172

8.868288

7.38597

7.93643

8.475378

7.448107

7.525434

7.45796

9.589342

7.287799

7.715154

7.909261

7.611868

7.727722

7.949469

7.775589

7.631408

7.609861

8.171038

7.497851

1104.1315

Nele Vandersickel

A study of the Gribov-Zwanziger action: from propagators to glueballs

326 pages, Thesis submitted in fulfillment of the requirements for the degree of Doctor (Ph.D.) in Sciences: Physics, obtained on March 11, 2011

null

hep-th hep-lat hep-ph

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

This Ph.D. thesis presents a study of the Gribov-Zwanziger framework: from propagators to glueballs. The chapters 2 and 3 are meant as an introduction and only require a basic knowledge of quantum field theory. Chapter 2 explains the techniques behind algebraic renormalization, which shall be widely used throughout this thesis, while chapter 3 tries to give a pedagogic overview of the Gribov-Zwanziger framework as this is not available yet in the literature. The subsequent chapters contain own research. First in chapter 4, we shall dig a bit deeper in the Gribov-Zwanziger framework, by exploring the BRST symmetry and the KO criterium. Next, in chapter 5 we shall elaborate on the ghost and the gluon propagator in the infrared and present a refined Gribov-Zwanziger action. Further, we present two chapters on the search for physical operators within the (refined) Gribov-Zwanziger framework, chapter 6 and 7. A small chapter 8 is devoted to some values for different glueballs. We end this thesis with the conclusions, chapter 9.

[ { "created": "Thu, 7 Apr 2011 12:33:20 GMT", "version": "v1" } ]

2011-04-08

[ [ "Vandersickel", "Nele", "" ] ]

This Ph.D. thesis presents a study of the Gribov-Zwanziger framework: from propagators to glueballs. The chapters 2 and 3 are meant as an introduction and only require a basic knowledge of quantum field theory. Chapter 2 explains the techniques behind algebraic renormalization, which shall be widely used throughout this thesis, while chapter 3 tries to give a pedagogic overview of the Gribov-Zwanziger framework as this is not available yet in the literature. The subsequent chapters contain own research. First in chapter 4, we shall dig a bit deeper in the Gribov-Zwanziger framework, by exploring the BRST symmetry and the KO criterium. Next, in chapter 5 we shall elaborate on the ghost and the gluon propagator in the infrared and present a refined Gribov-Zwanziger action. Further, we present two chapters on the search for physical operators within the (refined) Gribov-Zwanziger framework, chapter 6 and 7. A small chapter 8 is devoted to some values for different glueballs. We end this thesis with the conclusions, chapter 9.

7.567892

7.298124

7.849547

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7.703187

7.695912

7.643666

7.353196

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7.620515

7.596865

7.519015

7.557094

7.65485

7.619255

7.641072

7.671463

7.529992

hep-th/0303106

Shahin Mamedov

Sh. Mamedov

Superpartner States in Quantum Mechanics of Colored Particle

8 pages

null

hep-th

null

Superpartner correspondence of states of colored particle in external chromomagnetic field given by non-commuting constant vector potentials is determined. Squared Dirac equation for this particle is solved exactly and explicit expressions of superpartner states are found. The wave functions of states with definite energy are found. Supersymmetry algebra and superpartner states in three dimensional motion case are considered.

[ { "created": "Wed, 12 Mar 2003 12:57:40 GMT", "version": "v1" } ]

2007-05-23

[ [ "Mamedov", "Sh.", "" ] ]

Superpartner correspondence of states of colored particle in external chromomagnetic field given by non-commuting constant vector potentials is determined. Squared Dirac equation for this particle is solved exactly and explicit expressions of superpartner states are found. The wave functions of states with definite energy are found. Supersymmetry algebra and superpartner states in three dimensional motion case are considered.

24.794476

21.964394

25.090208

20.285601

26.373177

23.613386

24.830984

21.949295

22.559229

25.148954

21.998098

21.199905

23.417606

22.116438

20.800844

19.687437

20.971941

21.497885

20.869841

22.259426

19.63018

hep-th/0401140

Robert Coquereaux

Robert Coquereaux (1) and Roberto Trinchero (2) ((1) CPT - Marseille, (2) CAB - Bariloche)

On quantum symmetries of ADE graphs

15 pages

Adv.Theor.Math.Phys. Vol. 8 No. 1 (2004) 189-216

10.4310/ATMP.2004.v8.n1.a5

null

hep-th

null

The double triangle algebra(DTA) associated to an ADE graph is considered. A description of its bialgebra structure based on a reconstruction approach is given. This approach takes as initial data the representation theory of the DTA as given by Ocneanu's cell calculus. It is also proved that the resulting DTA has the structure of a weak *-Hopf algebra. As an illustrative example, the case of the graph A3 is described in detail.

[ { "created": "Tue, 20 Jan 2004 22:44:35 GMT", "version": "v1" } ]

2018-09-12

[ [ "Coquereaux", "Robert", "" ], [ "Trinchero", "Roberto", "" ] ]

The double triangle algebra(DTA) associated to an ADE graph is considered. A description of its bialgebra structure based on a reconstruction approach is given. This approach takes as initial data the representation theory of the DTA as given by Ocneanu's cell calculus. It is also proved that the resulting DTA has the structure of a weak *-Hopf algebra. As an illustrative example, the case of the graph A3 is described in detail.

10.178712

10.143037

11.339917

10.052053

12.383351

12.073262

11.299858

10.638318

10.505214

12.256198

10.043667

10.375891

10.37768

10.31589

10.391166

9.938442

10.996555

10.164282

10.25471

9.936978

9.820886

1607.00172

Rutger H. Boels

Rutger H. Boels, Bernd A. Kniehl, Gang Yang

On a four-loop form factor in N=4

8 pages; to appear in the proceedings of "Loops and Legs 2016"

null

hep-th hep-ph

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

We report on progress toward computing a four-loop supersymmetric form factor in maximally supersymmetric Yang-Mills theory. A representative example particle content from the involved supermultiplets is a stress-tensor operator with two on-shell gluons. In previous work, the integrand for this form factor was obtained using color-kinematic duality in a particularly simple form. Here the result of applying integration-by-parts identities is discussed and cross-checks of the result is performed. Rational IBP relations and their reduction are introduced as a potentially useful aide.

[ { "created": "Fri, 1 Jul 2016 09:29:47 GMT", "version": "v1" } ]

2016-07-04

[ [ "Boels", "Rutger H.", "" ], [ "Kniehl", "Bernd A.", "" ], [ "Yang", "Gang", "" ] ]

We report on progress toward computing a four-loop supersymmetric form factor in maximally supersymmetric Yang-Mills theory. A representative example particle content from the involved supermultiplets is a stress-tensor operator with two on-shell gluons. In previous work, the integrand for this form factor was obtained using color-kinematic duality in a particularly simple form. Here the result of applying integration-by-parts identities is discussed and cross-checks of the result is performed. Rational IBP relations and their reduction are introduced as a potentially useful aide.

16.869162

15.056512

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16.944887

15.152165

14.445518

19.690929

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15.398578

15.963562

15.192466

14.232347

14.957253

14.12679

2201.03096

Douglas Stanford

Raphael Bousso, Xi Dong, Netta Engelhardt, Thomas Faulkner, Thomas Hartman, Stephen H. Shenker, and Douglas Stanford

Snowmass White Paper: Quantum Aspects of Black Holes and the Emergence of Spacetime

16 + 17 pages. v2: references added

null

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

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

Black holes provide a window into the microscopic structure of spacetime in quantum gravity. Recently the quantum information contained in Hawking radiation has been calculated, verifying a key aspect of the consistency of black hole evaporation with quantum mechanical unitarity. This calculation relied crucially on recent progress in understanding the emergence of bulk spacetime from a boundary holographic description. Spacetime wormholes have played an important role in understanding the underpinnings of this result, and the precision study of such wormholes, in this and other contexts, has been enabled by the development of low-dimensional models of holography. In this white paper we review these developments and describe some of the deep open questions in this subject. These include the nature of the black hole interior, potential applications to quantum cosmology, the gravitational explanation of the fine structure of black holes, and the development of further connections to quantum information and laboratory quantum simulation.

[ { "created": "Sun, 9 Jan 2022 22:01:30 GMT", "version": "v1" }, { "created": "Wed, 2 Mar 2022 21:43:46 GMT", "version": "v2" } ]

2022-03-04

[ [ "Bousso", "Raphael", "" ], [ "Dong", "Xi", "" ], [ "Engelhardt", "Netta", "" ], [ "Faulkner", "Thomas", "" ], [ "Hartman", "Thomas", "" ], [ "Shenker", "Stephen H.", "" ], [ "Stanford", "Douglas", "" ] ]

Black holes provide a window into the microscopic structure of spacetime in quantum gravity. Recently the quantum information contained in Hawking radiation has been calculated, verifying a key aspect of the consistency of black hole evaporation with quantum mechanical unitarity. This calculation relied crucially on recent progress in understanding the emergence of bulk spacetime from a boundary holographic description. Spacetime wormholes have played an important role in understanding the underpinnings of this result, and the precision study of such wormholes, in this and other contexts, has been enabled by the development of low-dimensional models of holography. In this white paper we review these developments and describe some of the deep open questions in this subject. These include the nature of the black hole interior, potential applications to quantum cosmology, the gravitational explanation of the fine structure of black holes, and the development of further connections to quantum information and laboratory quantum simulation.

8.734244

8.816349

9.108912

8.141987

8.903666

8.48626

9.091457

8.812754

8.644135

9.286807

8.322465

8.355019

8.354174

8.14831

8.358884

8.587378

8.215862

8.294585

8.094612

8.710358

8.648655

0909.0980

Jianxin Lu

J. X. Lu and Rong-Jun Wu

The D0$-$D8 system revisited

19 pages, no figures, references updated and discussion expanded, the version to appear in JHEP

JHEP 0911:004,2009

10.1088/1126-6708/2009/11/004

USTC-ICTS-09-12

hep-th

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

We address a few subtle issues regarding the interacting D0-D8 system. There are two existing interpretations for the counter-intuitive non-vanishing cylinder-diagram R-R potential. We improve them each by properly dealing with the divergence of potential in the R-R as well as the NS-NS sector, which has been ignored so far. We further test them by considering the D8 to carry a flux, electric or magnetic. We find that the improved interpretations continue to hold. We resolve a subtle issue regarding the regularization of fermionic zero-modes in the R-R sector when the D8 carries an electric flux so that a meaningful result for the potential can be calculated. The persistence of divergence for the potential in either sector in the presence of a flux on the D8 brane indicates that adding a flux/fluxes on the D8 brane doesn't help to improve its nature of existence as an independent object, therefore reenforcing the previous assertion on D8 branes.

[ { "created": "Sun, 6 Sep 2009 20:46:39 GMT", "version": "v1" }, { "created": "Mon, 28 Sep 2009 15:20:27 GMT", "version": "v2" }, { "created": "Sun, 25 Oct 2009 01:37:44 GMT", "version": "v3" } ]

2009-11-19

[ [ "Lu", "J. X.", "" ], [ "Wu", "Rong-Jun", "" ] ]

We address a few subtle issues regarding the interacting D0-D8 system. There are two existing interpretations for the counter-intuitive non-vanishing cylinder-diagram R-R potential. We improve them each by properly dealing with the divergence of potential in the R-R as well as the NS-NS sector, which has been ignored so far. We further test them by considering the D8 to carry a flux, electric or magnetic. We find that the improved interpretations continue to hold. We resolve a subtle issue regarding the regularization of fermionic zero-modes in the R-R sector when the D8 carries an electric flux so that a meaningful result for the potential can be calculated. The persistence of divergence for the potential in either sector in the presence of a flux on the D8 brane indicates that adding a flux/fluxes on the D8 brane doesn't help to improve its nature of existence as an independent object, therefore reenforcing the previous assertion on D8 branes.

15.179035

15.737638

16.946215

14.966564

16.332069

17.166296

16.442764

15.288543

15.957789

16.753502

16.26655

15.917105

15.989304

15.413589

15.957364

15.74017

16.148138

15.401009

15.901799

16.753313

16.158333

hep-th/9806063

Jerzy Przeszowski

Jerzy A. Przeszowski

Gauge Conditions in the Canonical Hamiltonian Formulation of the Light-Front Quantum Electrodynamics

79 pages, LateX 2.09

null

IFTR Rep. 7/1998

hep-th

null

We report here the status of different gauge conditions in the canonical formulation of quantum electrodynamics on light-front surfaces. We start with the massive vector fields as pedagogical models where all basic concepts and possible problems manifestly appear. Several gauge choices are considered for both the infinite and the finite volume formulation of massless gauge field electrodynamics. We obtain the perturbative Feynman rules in the first approach and the quantum Hamiltonian for all sectors in the second approach. Different space-time dimensions are discussed in all models where they crucially change the physical meaning. Generally, fermions are considered as the charged matter fields but also one simple 1+1 dimensional model is discussed for scalar fields. Finally the perspectives for further research projects are discussed.

[ { "created": "Mon, 8 Jun 1998 11:31:18 GMT", "version": "v1" } ]

2007-05-23

[ [ "Przeszowski", "Jerzy A.", "" ] ]

We report here the status of different gauge conditions in the canonical formulation of quantum electrodynamics on light-front surfaces. We start with the massive vector fields as pedagogical models where all basic concepts and possible problems manifestly appear. Several gauge choices are considered for both the infinite and the finite volume formulation of massless gauge field electrodynamics. We obtain the perturbative Feynman rules in the first approach and the quantum Hamiltonian for all sectors in the second approach. Different space-time dimensions are discussed in all models where they crucially change the physical meaning. Generally, fermions are considered as the charged matter fields but also one simple 1+1 dimensional model is discussed for scalar fields. Finally the perspectives for further research projects are discussed.

21.955431

20.795301

21.886604

19.777298

21.253515

20.481512

22.837244

20.07995

21.254414

25.969784

20.197994

20.456108

21.225042

20.536938

21.15723

20.2197

21.391747

20.81352

20.8302

21.441666

20.260361

hep-th/9704191

Dimitri Polyakov

A Comment on a Fivebrane Term in Superalgebra

5 pages, TeX

null

IHES/97/P/xx

hep-th

null

We review our recent discussion of fivebrane central terms that appear in the space-time superalgebra in D=10 provided that the space-time supercharges are taken in non-canonical pictures. We correct the mistake contained in the original version of the earlier paper hep-th/9703008 which suggested that the naive picture-changing of the superalgebra could give rise to the non-perturbative five-form term. The relation between picture-changing and p-brane central terms appears to be much more subtle, as is pointed out in the revised version of the mentioned paper.

[ { "created": "Sat, 26 Apr 1997 18:35:50 GMT", "version": "v1" }, { "created": "Tue, 13 May 1997 01:06:21 GMT", "version": "v2" } ]

2016-09-06

[ [ "Polyakov", "Dimitri", "" ] ]

We review our recent discussion of fivebrane central terms that appear in the space-time superalgebra in D=10 provided that the space-time supercharges are taken in non-canonical pictures. We correct the mistake contained in the original version of the earlier paper hep-th/9703008 which suggested that the naive picture-changing of the superalgebra could give rise to the non-perturbative five-form term. The relation between picture-changing and p-brane central terms appears to be much more subtle, as is pointed out in the revised version of the mentioned paper.

16.418554

13.84408

16.599636

14.682082

13.831332

13.231024

13.911952

13.384092

12.713595

15.279747

13.791027

12.882024

15.022953

13.104905

13.381058

13.289838

13.185585

12.799597

13.397508

14.863362

13.107945

1310.0015

Anatoly Dymarsky

Anatoly Dymarsky and Stefano Massai

Uplifting the baryonic branch: a test for backreacting anti-D3-branes

26 pages

null

10.1007/JHEP11(2014)034

null

hep-th

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

Placing D3 or anti-D3-branes at the tip of the Klebanov-Strassler background results in uplifting the baryonic branch of the moduli space of the dual field theory. In this paper we derive a mass formula for the scalar particle associated with the motion along the baryonic branch, from both open and closed string points of view. We show that both methods give the same mass at linear order in number of (anti)D3-branes, thus providing a comprehensive check for the recently found linearized supergravity solution describing backreacting anti-D3-branes at the tip.

[ { "created": "Mon, 30 Sep 2013 20:00:03 GMT", "version": "v1" } ]

2015-06-17

[ [ "Dymarsky", "Anatoly", "" ], [ "Massai", "Stefano", "" ] ]

Placing D3 or anti-D3-branes at the tip of the Klebanov-Strassler background results in uplifting the baryonic branch of the moduli space of the dual field theory. In this paper we derive a mass formula for the scalar particle associated with the motion along the baryonic branch, from both open and closed string points of view. We show that both methods give the same mass at linear order in number of (anti)D3-branes, thus providing a comprehensive check for the recently found linearized supergravity solution describing backreacting anti-D3-branes at the tip.

8.607178

5.784212

7.787538

6.082947

6.386968

5.674772

6.162423

5.861144

5.852576

8.162216

6.266108

6.046788

6.963061

6.154411

6.216142

5.940331

6.054527

6.054916

6.156482

6.433466

6.204724

1101.4540

Tapio Salminen

Miklos L{\aa}ngvik, Tapio Salminen and Anca Tureanu

Magnetic Monopole in Noncommutative Space-Time and Wu-Yang Singularity-Free Gauge Transformations

18 pages. Relation to relevant literature clarified in the conclusions, 6 references added

Phys.Rev.D83:085006,2011

10.1103/PhysRevD.83.085006

null

hep-th

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

We investigate the validity of the Dirac Quantization Condition (DQC) for magnetic monopoles in noncommutative space-time. We use an approach which is based on an extension of the method introduced by Wu and Yang. To study the effects of noncommutativity of space-time, we consider the gauge transformations of $U_\star(1)$ gauge fields and use the corresponding deformed Maxwell's equations. Using a perturbation expansion in the noncommutativity parameter $\theta$, we show that the DQC remains unmodified up to the first order in the expansion parameter. The result is obtained for a class of noncommutative source terms, which reduce to the Dirac delta function in the commutative limit.

[ { "created": "Mon, 24 Jan 2011 14:17:57 GMT", "version": "v1" }, { "created": "Wed, 2 Mar 2011 10:59:48 GMT", "version": "v2" } ]

2016-08-14

[ [ "Långvik", "Miklos", "" ], [ "Salminen", "Tapio", "" ], [ "Tureanu", "Anca", "" ] ]

We investigate the validity of the Dirac Quantization Condition (DQC) for magnetic monopoles in noncommutative space-time. We use an approach which is based on an extension of the method introduced by Wu and Yang. To study the effects of noncommutativity of space-time, we consider the gauge transformations of $U_\star(1)$ gauge fields and use the corresponding deformed Maxwell's equations. Using a perturbation expansion in the noncommutativity parameter $\theta$, we show that the DQC remains unmodified up to the first order in the expansion parameter. The result is obtained for a class of noncommutative source terms, which reduce to the Dirac delta function in the commutative limit.

5.326418

4.532021

4.998262

4.791948

4.710161

4.655009

4.676736

4.656223

4.617182

5.518486

4.678376

4.78686

5.155955

4.859336

4.75648

4.830142

4.865984

4.903148

4.942019

5.187083

5.00959

1103.2280

Adel Bilal

Supersymmetric Boundaries and Junctions in Four Dimensions

38 pages, 1 figure

null

10.1007/JHEP11(2011)046

LPTENS-11/10

hep-th

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

We make a comprehensive study of (rigid) N=1 supersymmetric sigma-models with general K\"ahler potentials K and superpotentials w on four-dimensional space-times with boundaries. We determine the minimal (non-supersymmetric) boundary terms one must add to the standard bulk action to make it off-shell invariant under half the supersymmetries without imposing any boundary conditions. Susy boundary conditions do arise from the variational principle when studying the dynamics. Upon including an additional boundary action that depends on an arbitrary real boundary potential B one can generate very general susy boundary conditions. We show that for any set of susy boundary conditions that define a Lagrangian submanifold of the K\"ahler manifold, an appropriate boundary potential B can be found. Thus the non-linear sigma-model on a manifold with boundary is characterised by the tripel (K,B,w). We also discuss the susy coupling to new boundary superfields and generalize our results to supersymmetric junctions between completely different susy sigma-models, living on adjacent domains and interacting through a "permeable" wall. We obtain the supersymmetric matching conditions that allow us to couple models with different K\"ahler potentials and superpotentials on each side of the wall.

[ { "created": "Fri, 11 Mar 2011 14:31:42 GMT", "version": "v1" } ]

2015-05-27

[ [ "Bilal", "Adel", "" ] ]

We make a comprehensive study of (rigid) N=1 supersymmetric sigma-models with general K\"ahler potentials K and superpotentials w on four-dimensional space-times with boundaries. We determine the minimal (non-supersymmetric) boundary terms one must add to the standard bulk action to make it off-shell invariant under half the supersymmetries without imposing any boundary conditions. Susy boundary conditions do arise from the variational principle when studying the dynamics. Upon including an additional boundary action that depends on an arbitrary real boundary potential B one can generate very general susy boundary conditions. We show that for any set of susy boundary conditions that define a Lagrangian submanifold of the K\"ahler manifold, an appropriate boundary potential B can be found. Thus the non-linear sigma-model on a manifold with boundary is characterised by the tripel (K,B,w). We also discuss the susy coupling to new boundary superfields and generalize our results to supersymmetric junctions between completely different susy sigma-models, living on adjacent domains and interacting through a "permeable" wall. We obtain the supersymmetric matching conditions that allow us to couple models with different K\"ahler potentials and superpotentials on each side of the wall.

10.12616

11.683341

11.373384

10.452235

11.259972

10.930926

10.960656

10.724995

10.030529

11.662655

10.142089

10.117901

10.751468

10.029988

10.160759

9.989465

10.316394

9.818678

9.970397

10.926453

9.880572

hep-th/0412222

Martin Cederwall

AdS twistors for higher spin theory

13 pp., plain tex, 1 figure

null

10.1063/1.1923331

null

hep-th

null

We construct spectra of supersymmetric higher spin theories in D=4, 5 and 7 from twistors describing massless (super-)particles on AdS spaces. A massless twistor transform is derived in a geometric way from classical kinematics. Relaxing the spin-shell constraints on twistor space gives an infinite tower of massless states of a ``higher spin particle'', generalising previous work of Bandos et al. This can generically be done in a number of ways, each defining the states of a distinct higher spin theory, and the method provides a systematic way of finding these. We reproduce known results in D=4, minimal supersymmetric 5- and 7-dimensional models, as well as supersymmetrisations of Vasiliev's Sp-models as special cases. In the latter models a dimensional enhancement takes place, meaning that the theory lives on a space of higher dimension than the original AdS space, and becomes a theory of doubletons. This talk was presented at the XIXth Max Born Symposium ``Fundamental Interactions and Twistor-Like Methods'', September 2004, in Wroclaw, Poland.

[ { "created": "Sun, 19 Dec 2004 21:45:48 GMT", "version": "v1" } ]

2009-11-10

[ [ "Cederwall", "Martin", "" ] ]

We construct spectra of supersymmetric higher spin theories in D=4, 5 and 7 from twistors describing massless (super-)particles on AdS spaces. A massless twistor transform is derived in a geometric way from classical kinematics. Relaxing the spin-shell constraints on twistor space gives an infinite tower of massless states of a ``higher spin particle'', generalising previous work of Bandos et al. This can generically be done in a number of ways, each defining the states of a distinct higher spin theory, and the method provides a systematic way of finding these. We reproduce known results in D=4, minimal supersymmetric 5- and 7-dimensional models, as well as supersymmetrisations of Vasiliev's Sp-models as special cases. In the latter models a dimensional enhancement takes place, meaning that the theory lives on a space of higher dimension than the original AdS space, and becomes a theory of doubletons. This talk was presented at the XIXth Max Born Symposium ``Fundamental Interactions and Twistor-Like Methods'', September 2004, in Wroclaw, Poland.

10.682311

11.645144

12.070157

11.034027

10.855636

11.819386

10.919511

11.20698

9.885163

14.15777

10.699327

10.762275

11.003492

10.098722

10.32915

10.484371

10.088478

10.355323

10.150856

10.973704

10.003901

2103.13045

Yusuke Mikura

Yusuke Mikura, Yuichiro Tada, Shuichiro Yokoyama

Minimal $k$-inflation in light of the conformal metric-affine geometry

8 pages, 1 figure, v2:published version, references added, v3:reference added

Phys. Rev. D 103, 101303 (2021)

10.1103/PhysRevD.103.L101303

null

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

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

We motivate a minimal realization of slow-roll $k$-inflation by incorporating the local conformal symmetry and the broken global $\mathrm{SO}(1,1)$ symmetry in the metric-affine geometry. With use of the metric-affine geometry where both the metric and the affine connection are treated as independent variables, the local conformal symmetry can be preserved in each term of the Lagrangian and thus higher derivatives of scalar fields can be easily added in a conformally invariant way. Predictions of this minimal slow-roll $k$-inflation, $n_\mathrm{s}\sim 0.96$, $r\sim 0.005$, and $c_\mathrm{s}\sim 0.03$, are not only consistent with current observational data but also have a prospect to be tested by forthcoming observations.

[ { "created": "Wed, 24 Mar 2021 08:37:47 GMT", "version": "v1" }, { "created": "Fri, 4 Jun 2021 04:38:06 GMT", "version": "v2" }, { "created": "Thu, 24 Jun 2021 02:33:09 GMT", "version": "v3" } ]

2021-06-25

[ [ "Mikura", "Yusuke", "" ], [ "Tada", "Yuichiro", "" ], [ "Yokoyama", "Shuichiro", "" ] ]

We motivate a minimal realization of slow-roll $k$-inflation by incorporating the local conformal symmetry and the broken global $\mathrm{SO}(1,1)$ symmetry in the metric-affine geometry. With use of the metric-affine geometry where both the metric and the affine connection are treated as independent variables, the local conformal symmetry can be preserved in each term of the Lagrangian and thus higher derivatives of scalar fields can be easily added in a conformally invariant way. Predictions of this minimal slow-roll $k$-inflation, $n_\mathrm{s}\sim 0.96$, $r\sim 0.005$, and $c_\mathrm{s}\sim 0.03$, are not only consistent with current observational data but also have a prospect to be tested by forthcoming observations.

6.354121

6.086235

6.371702

5.960565

5.843128

5.894821

5.704111

6.309206

5.935294

6.457119

5.905626

6.582002

6.195488

6.007213

6.087783

6.186719

6.299023

6.31475

5.968583

6.06337

6.067928

hep-th/9901162

Wolfgang Lerche

W.Lerche, S.Stieberger and N.P.Warner

Prepotentials from Symmetric Products

19p, harvmac; One sign in eq. (A.2) changed

Adv.Theor.Math.Phys.3:1613-1634,1999

null

CERN-TH/99-17

hep-th

null

We investigate the prepotential that describes certain F^4 couplings in eight dimensional string compactifications, and show how they can be computed from the solutions of inhomogenous differential equations. These appear to have the form of the Picard-Fuchs equations of a fibration of Sym^2(K3) over P^1. Our findings give support to the conjecture that the relevant geometry which underlies these couplings is given by a five-fold.

[ { "created": "Fri, 29 Jan 1999 16:12:03 GMT", "version": "v1" }, { "created": "Sat, 30 Jan 1999 19:07:35 GMT", "version": "v2" }, { "created": "Wed, 8 Dec 1999 02:49:15 GMT", "version": "v3" } ]

2014-11-18

[ [ "Lerche", "W.", "" ], [ "Stieberger", "S.", "" ], [ "Warner", "N. P.", "" ] ]

We investigate the prepotential that describes certain F^4 couplings in eight dimensional string compactifications, and show how they can be computed from the solutions of inhomogenous differential equations. These appear to have the form of the Picard-Fuchs equations of a fibration of Sym^2(K3) over P^1. Our findings give support to the conjecture that the relevant geometry which underlies these couplings is given by a five-fold.

12.531117

10.569438

12.304763

10.461487

11.959472

10.753793

10.945839

10.575322

10.403091

14.274521

10.071301

10.620937

11.538532

10.803194

10.870144

10.814378

10.496252

10.771652

10.910196

11.88072

10.535569

0707.0601

Keun-young Kim

Keun-Young Kim, Sang-Jin Sin, Ismail Zahed

Diffusion in an Expanding Plasma using AdS/CFT

19 pages, 2 figures, minor corrections, version to appear in JHEP

JHEP0804:047,2008

10.1088/1126-6708/2008/04/047

null

hep-th hep-ph

null

We consider the diffusion of a non-relativistic heavy quark of fixed mass M, in a one-dimensionally expanding and strongly coupled plasma using the AdS/CFT duality. The Green's function constructed around a static string embedded in a background with a moving horizon, is identified with the noise correlation function in a Langevin approach. The (electric) noise decorrelation is of order 1/T(\tau) while the velocity de-correlation is of order MD(\tau)/T(\tau). For MD>1, the diffusion regime is segregated and the energy loss is Langevin-like. The time dependent diffusion constant D(\tau) asymptotes its adiabatic limit 2/\pi\sqrt{\lambda} T(\tau) when \tau/\tau_0=(1/3\eta_0\tau_0)^3 where \eta_0 is the drag coefficient at the initial proper time \tau_0.

[ { "created": "Wed, 4 Jul 2007 12:57:24 GMT", "version": "v1" }, { "created": "Wed, 9 Apr 2008 19:21:51 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kim", "Keun-Young", "" ], [ "Sin", "Sang-Jin", "" ], [ "Zahed", "Ismail", "" ] ]

We consider the diffusion of a non-relativistic heavy quark of fixed mass M, in a one-dimensionally expanding and strongly coupled plasma using the AdS/CFT duality. The Green's function constructed around a static string embedded in a background with a moving horizon, is identified with the noise correlation function in a Langevin approach. The (electric) noise decorrelation is of order 1/T(\tau) while the velocity de-correlation is of order MD(\tau)/T(\tau). For MD>1, the diffusion regime is segregated and the energy loss is Langevin-like. The time dependent diffusion constant D(\tau) asymptotes its adiabatic limit 2/\pi\sqrt{\lambda} T(\tau) when \tau/\tau_0=(1/3\eta_0\tau_0)^3 where \eta_0 is the drag coefficient at the initial proper time \tau_0.

12.395772

12.629566

12.094815

11.506251

13.930673

13.305391

12.162362

12.495975

11.033731

13.373321

12.5313

12.04487

11.40106

11.137836

11.336384

11.502504

11.72152

11.605612

11.05289

11.080356

11.896054

1110.1087

WanZhe Feng

Wan-Zhe Feng, Tomasz R. Taylor

Higher Level String Resonances in Four Dimensions

34 pages, 2 figures

Nucl.Phys.B 856 (2012) 247-277

10.1016/j.nuclphysb.2011.11.004

null

hep-th hep-ph

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

We study higher level Regge resonances of open superstrings, focusing on the universal part of the Neveu-Schwarz sector common to all D-brane realizations of the standard model. For Regge states with masses far above the fundamental string scale, we discuss the spin-dependence of their decay rates into massless gauge bosons. Extending our previous work on lowest level string excitations, we study the second mass level at which spins range from 0 to 3. We construct the respective vertex operators and compute the amplitudes involving one massive particle and two or three gauge bosons. To illustrate the use of BCFW recursion relations in superstring theory, we build the four gluon amplitude from on-shell amplitudes involving string resonances and gauge bosons.

[ { "created": "Wed, 5 Oct 2011 20:00:03 GMT", "version": "v1" }, { "created": "Tue, 18 Oct 2011 20:00:10 GMT", "version": "v2" } ]

2011-12-13

[ [ "Feng", "Wan-Zhe", "" ], [ "Taylor", "Tomasz R.", "" ] ]

We study higher level Regge resonances of open superstrings, focusing on the universal part of the Neveu-Schwarz sector common to all D-brane realizations of the standard model. For Regge states with masses far above the fundamental string scale, we discuss the spin-dependence of their decay rates into massless gauge bosons. Extending our previous work on lowest level string excitations, we study the second mass level at which spins range from 0 to 3. We construct the respective vertex operators and compute the amplitudes involving one massive particle and two or three gauge bosons. To illustrate the use of BCFW recursion relations in superstring theory, we build the four gluon amplitude from on-shell amplitudes involving string resonances and gauge bosons.

9.710348

8.722871

10.134323

9.562354

9.885787

9.698414

10.333244

9.554494

9.389099

11.216849

9.571403

9.611703

9.456862

9.296625

9.595759

9.471011

9.501392

9.513824

9.418998

9.690907

9.8453

hep-th/0611022

Emil Nissimov

Eduardo Guendelman and Alexander Kaganovich (Ben-Gurion Univ., Beer-Sheva), Emil Nissimov and Svetlana Pacheva (Institute for Nuclear Research and Nuclear Energy, Sofia)

Self-Consistent Solutions for Bulk Gravity-Matter Systems Coupled to Lightlike Branes

20 pages, Based on talks at IV-th Summer School in Modern Mathematical Physics, Belgrade (Sept. 2006), and 2nd Workshop of European RTN "Constituents, Fundamental Forces and Symmetries of the Universe", Naples (Oct. 2006)

null

hep-th

null

We study self-consistent D=4 gravity-matter systems coupled to a new class of Weyl-conformally invariant lightlike branes (WILL}-branes). The latter serve as material and charged source for gravity and electromagnetism. Further, due to the natural coupling to a 3-index antisymmetric tensor gauge field, the WILL-brane dynamically produces a space-varying bulk cosmological constant. We find static spherically-symmetric solutions where the space-time consists of two regions with black-hole-type geometries separated by the WILL-brane which "straddles" their common event horizon and, therefore, provides an explicit dynamical realization of the "membrane paradigm" in black hole physics. Finally, by matching via WILL-brane of internal Schwarzschild-de-Sitter with external Reissner-Nordstrom-de-Sitter (or external Schwarzschild-de-Sitter)geometries we discover the emergence of a potential "well" for infalling test particles in the vicinity of the WILL-brane (the common horizon) with a minimum on the brane itself.

[ { "created": "Thu, 2 Nov 2006 09:44:48 GMT", "version": "v1" } ]

2007-05-23

[ [ "Guendelman", "Eduardo", "", "Ben-Gurion Univ.,\n Beer-Sheva" ], [ "Kaganovich", "Alexander", "", "Ben-Gurion Univ.,\n Beer-Sheva" ], [ "Nissimov", "Emil", "", "Institute for Nuclear\n Research and Nuclear Energy, Sofia" ], [ "Pacheva", "Svetlana", "", "Institute for Nuclear\n Research and Nuclear Energy, Sofia" ] ]

We study self-consistent D=4 gravity-matter systems coupled to a new class of Weyl-conformally invariant lightlike branes (WILL}-branes). The latter serve as material and charged source for gravity and electromagnetism. Further, due to the natural coupling to a 3-index antisymmetric tensor gauge field, the WILL-brane dynamically produces a space-varying bulk cosmological constant. We find static spherically-symmetric solutions where the space-time consists of two regions with black-hole-type geometries separated by the WILL-brane which "straddles" their common event horizon and, therefore, provides an explicit dynamical realization of the "membrane paradigm" in black hole physics. Finally, by matching via WILL-brane of internal Schwarzschild-de-Sitter with external Reissner-Nordstrom-de-Sitter (or external Schwarzschild-de-Sitter)geometries we discover the emergence of a potential "well" for infalling test particles in the vicinity of the WILL-brane (the common horizon) with a minimum on the brane itself.

10.265461

8.522133

10.823963

9.279923

9.735189

9.25151

9.500051

8.828916

8.663373

11.911957

9.649305

9.46884

10.213418

9.849005

9.923538

10.059109

10.068255

9.779585

9.924035

10.272619

9.756676

1711.08315

Luciano Gabbanelli

Jorge Alfaro, Dom\`enec Espriu and Luciano Gabbanelli

On the propagation of gravitational waves in a $\Lambda$CDM universe

18 pages, 2 figures

Class. Quantum Grav. 36 (2019) 025006

10.1088/1361-6382/aaf675

null

hep-th gr-qc

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

We study here how the presence of non-zero matter density and a cosmological constant could affect the observation of gravitational waves in Pulsar Timing Arrays. Conventionally, the effect of matter and cosmological constant is included by considering the redshift in frequency due to the expansion. However, there is an additional effect due to the change of coordinate systems from the natural ones in the region where waves are produced to the ones used to measure the pulsar timing residuals. This change is unavoidable as the strong gravitational field in a black hole merger distorts clocks and rules. Harmonic waves produced in such a merger become anharmonic when detected by a cosmological observer. The effect is small but appears to be observable for the type of gravitational waves to which PTA are sensitive and for the favoured values of the cosmological parameters.

[ { "created": "Wed, 22 Nov 2017 15:03:51 GMT", "version": "v1" } ]

2019-01-04

[ [ "Alfaro", "Jorge", "" ], [ "Espriu", "Domènec", "" ], [ "Gabbanelli", "Luciano", "" ] ]

We study here how the presence of non-zero matter density and a cosmological constant could affect the observation of gravitational waves in Pulsar Timing Arrays. Conventionally, the effect of matter and cosmological constant is included by considering the redshift in frequency due to the expansion. However, there is an additional effect due to the change of coordinate systems from the natural ones in the region where waves are produced to the ones used to measure the pulsar timing residuals. This change is unavoidable as the strong gravitational field in a black hole merger distorts clocks and rules. Harmonic waves produced in such a merger become anharmonic when detected by a cosmological observer. The effect is small but appears to be observable for the type of gravitational waves to which PTA are sensitive and for the favoured values of the cosmological parameters.

11.280472

13.734138

12.8411

12.018623

13.002175

12.814406

13.334373

11.454451

12.200539

12.806648

12.505819

11.616729

10.786182

10.901527

11.544325

11.344752

11.167936

11.401705

11.301319

10.750703

11.254524

hep-th/9410077

Wolfgang Eholzer

Wolfgang Eholzer and Nils-Peter Skoruppa

Conformal Characters and Theta Series

15 pages (AMS TeX), preprint MSRI, BONN-TH-94-24

Lett. Math. Phys. 35 (1995) 197

10.1007/BF00761292

null

hep-th

null

We describe the construction of vector valued modular forms transforming under a given congruence representation of the modular group SL(2,Z) in terms of theta series. We apply this general setup to obtain closed and easily computable formulas for conformal characters of rational models of W-algebras.

[ { "created": "Tue, 11 Oct 1994 10:40:32 GMT", "version": "v1" } ]

2015-06-26

[ [ "Eholzer", "Wolfgang", "" ], [ "Skoruppa", "Nils-Peter", "" ] ]

We describe the construction of vector valued modular forms transforming under a given congruence representation of the modular group SL(2,Z) in terms of theta series. We apply this general setup to obtain closed and easily computable formulas for conformal characters of rational models of W-algebras.

13.068388

9.587968

14.522186

9.977373

13.076861

10.068267

11.809013

10.367669

10.325827

17.222065

11.259934

11.019559

12.802057

11.492119

11.642282

12.266749

10.989224

11.324957

11.22213

13.041691

11.104848

1102.1813

Alexandra Friesen

A.V. Friesen, Yu.L. Kalinovsky, V.D. Toneev

Thermodynamics in NJL-like models

10 pages, 4 figures, 3 table

null

hep-th

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

Thermodynamic behavior of conventional Nambu-Jona-Lasinio and Polyakov-loop-extended Nambu-Jona-Lasinio models is compared. A particular attention is paid to the phase diagram in the ($T -\mu$) plane.

[ { "created": "Wed, 9 Feb 2011 08:46:17 GMT", "version": "v1" }, { "created": "Fri, 11 Mar 2011 13:17:36 GMT", "version": "v2" } ]

2011-03-14

[ [ "Friesen", "A. V.", "" ], [ "Kalinovsky", "Yu. L.", "" ], [ "Toneev", "V. D.", "" ] ]

Thermodynamic behavior of conventional Nambu-Jona-Lasinio and Polyakov-loop-extended Nambu-Jona-Lasinio models is compared. A particular attention is paid to the phase diagram in the ($T -\mu$) plane.

5.628486

5.241371

4.269978

4.420352

5.110358

6.028421

4.579807

5.476542

4.439081

4.598355

5.129964

5.155569

4.489443

4.772942

5.25715

5.255739

4.980642

5.101479

4.571384

4.44899

5.141982

0712.3036

Biagio Lucini

Luigi Del Debbio, Biagio Lucini, Agostino Patella and Claudio Pica

Quenched mesonic spectrum at large N

Reference added; typos corrected; version to appear on JHEP

JHEP 0803:062,2008

10.1088/1126-6708/2008/03/062

BNL-NT-07/56, IFUP-TH/2007-36, NI07089

hep-th hep-lat hep-ph

null

We compute the masses of the $\pi$ and of the $\rho$ mesons in the quenched approximation on a lattice with fixed lattice spacing $a \simeq 0.145 \ \mathrm{fm}$ for SU($N$) gauge theory with $N = 2,3,4,6$. We find that a simple linear expression in $1/N^2$ correctly captures the features of the lowest-lying meson states at those values of $N$. This enables us to extrapolate to $N = \infty$ the behaviour of $m_{\pi}$ as a function of the quark mass and of $m_{\rho}$ as a function of $m_{\pi}$. Our results for the latter agree within 5% with recent predictions obtained in the AdS/CFT framework.

[ { "created": "Tue, 18 Dec 2007 20:06:19 GMT", "version": "v1" }, { "created": "Sun, 16 Mar 2008 23:07:40 GMT", "version": "v2" } ]

2009-12-10

[ [ "Del Debbio", "Luigi", "" ], [ "Lucini", "Biagio", "" ], [ "Patella", "Agostino", "" ], [ "Pica", "Claudio", "" ] ]

We compute the masses of the $\pi$ and of the $\rho$ mesons in the quenched approximation on a lattice with fixed lattice spacing $a \simeq 0.145 \ \mathrm{fm}$ for SU($N$) gauge theory with $N = 2,3,4,6$. We find that a simple linear expression in $1/N^2$ correctly captures the features of the lowest-lying meson states at those values of $N$. This enables us to extrapolate to $N = \infty$ the behaviour of $m_{\pi}$ as a function of the quark mass and of $m_{\rho}$ as a function of $m_{\pi}$. Our results for the latter agree within 5% with recent predictions obtained in the AdS/CFT framework.

4.704043

4.802435

4.690533

4.601288

5.066672

4.941107

4.830737

4.728178

4.609429

4.906061

4.651455

4.579175

4.634585

4.634141

4.566293

4.688234

4.676154

4.571032

4.675939

4.631134

4.53513

hep-th/9509087

null

N. Nakazawa

Stochastic Quantization of Matrix Models and Field Theory of Non-Orientable Strings

Latex 20 pages, To be published in Proc. 6th Moscow Quantum Gravity Seminar (Moscow, June 12-17, 1995)

null

NBI-HE-95-26

hep-th

null

In quantizing gravity based on stochastic quantization method, the stochastic time plays a role of the proper time. We study 2D and 4D Euclidean quantum gravity in this context. By applying stochastic quantization method to real symmetric matrix models, it is shown that the stochastic process defined by the Langevin equation in loop space describes the time evolution of the non-orientable loops which defines non-orientable 2D surfaces. The corresponding Fokker-Planck hamiltonian deduces a non-orientable string field theory at the continuum limit. The strategy, which we have learned in the example of 2D quantum gravity, is applied to 4D case. Especially, the Langevin equation for the stochastic process of 3-geometries is proposed to describe the (Euclidean) time evolution in 4D quantum gravity with Ashtekar's canonical variables. We present it in both lattice regularized version and the naive continuum limit.

[ { "created": "Mon, 18 Sep 1995 02:15:48 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nakazawa", "N.", "" ] ]

In quantizing gravity based on stochastic quantization method, the stochastic time plays a role of the proper time. We study 2D and 4D Euclidean quantum gravity in this context. By applying stochastic quantization method to real symmetric matrix models, it is shown that the stochastic process defined by the Langevin equation in loop space describes the time evolution of the non-orientable loops which defines non-orientable 2D surfaces. The corresponding Fokker-Planck hamiltonian deduces a non-orientable string field theory at the continuum limit. The strategy, which we have learned in the example of 2D quantum gravity, is applied to 4D case. Especially, the Langevin equation for the stochastic process of 3-geometries is proposed to describe the (Euclidean) time evolution in 4D quantum gravity with Ashtekar's canonical variables. We present it in both lattice regularized version and the naive continuum limit.

8.764424

7.262239

9.450003

7.805513

7.293148

8.245707

7.804996

7.92978

7.766581

9.913588

7.911485

8.067326

8.348481

8.304268

8.272551

7.900402

8.14261

8.096335

8.237057

8.620436

8.080065

1502.06620

Achilleas Passias

Fabio Apruzzi, Marco Fazzi, Achilleas Passias and Alessandro Tomasiello

Supersymmetric AdS_5 solutions of massive IIA supergravity

56 pages, 2 figures, LaTeX; v3: subsection 4.3.1 revised, minor corrections

null

hep-th

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

Motivated by a recently found class of AdS_7 solutions, we classify AdS_5 solutions in massive IIA, finding infinitely many new analytical examples. We reduce the general problem to a set of PDEs, determining the local internal metric, which is a fibration over a surface. Under a certain simplifying assumption, we are then able to analytically solve the PDEs and give a complete list of all solutions. Among these, one class is new and regular. These spaces can be related to the AdS_7 solutions via a simple universal map for the metric, dilaton and fluxes. The natural interpretation of this map is that the dual CFT_6 and CFT_4 are related by twisted compactification on a Riemann surface $\Sigma_g$. The ratio of their free energy coefficients is proportional to the Euler characteristic of $\Sigma_g$. As a byproduct, we also find the analytic expression for the AdS_7 solutions, which were previously known only numerically. We determine the free energy for simple examples: it is a simple cubic function of the flux integers.

[ { "created": "Mon, 23 Feb 2015 21:00:17 GMT", "version": "v1" }, { "created": "Mon, 20 Jul 2015 17:14:32 GMT", "version": "v2" }, { "created": "Tue, 16 Feb 2016 11:04:22 GMT", "version": "v3" } ]

2016-02-17

[ [ "Apruzzi", "Fabio", "" ], [ "Fazzi", "Marco", "" ], [ "Passias", "Achilleas", "" ], [ "Tomasiello", "Alessandro", "" ] ]

Motivated by a recently found class of AdS_7 solutions, we classify AdS_5 solutions in massive IIA, finding infinitely many new analytical examples. We reduce the general problem to a set of PDEs, determining the local internal metric, which is a fibration over a surface. Under a certain simplifying assumption, we are then able to analytically solve the PDEs and give a complete list of all solutions. Among these, one class is new and regular. These spaces can be related to the AdS_7 solutions via a simple universal map for the metric, dilaton and fluxes. The natural interpretation of this map is that the dual CFT_6 and CFT_4 are related by twisted compactification on a Riemann surface $\Sigma_g$. The ratio of their free energy coefficients is proportional to the Euler characteristic of $\Sigma_g$. As a byproduct, we also find the analytic expression for the AdS_7 solutions, which were previously known only numerically. We determine the free energy for simple examples: it is a simple cubic function of the flux integers.

9.227523

8.279459

9.994466

8.465782

8.731188

8.423973

8.341068

8.250909

8.332342

10.628684

8.617736

8.696769

9.280537

8.730755

8.869697

9.025451

8.607712

8.853462

8.475451

9.229439

8.759422

hep-th/0402202

Hong Lu

Z.-W. Chong, H. Lu and C.N. Pope

Rotating Strings in Massive Type IIA Supergravity

Latex, 14 pages

null

MIFP-04-03

hep-th

null

Massive type IIA supergravity admits a warped AdS_6 x S^4 vacuum solution, which is expected to be dual to an N=2, D=5 super-conformal Yang-Mills theory. We study solutions for strings rotating or spinning in this background. The warp factor plays no essential role when the string spins in the AdS_6, implying a commonality in the leading Regge trajectories between the D=4 and D=5 super-conformal field theories. The warp factor does, however, become important when the string rotates in the S^4, in particular for long strings, which have the the relation E- 3J/2=c_1 + c_2/J^5+..., where the angular momentum J is large. This relation is qualitatively different from that for long strings in the AdS_5 x S^5 background. We also study Penrose limits of the AdS_6 x S^4 solution, one of which gives rise to a free massive string theory with time-dependent masses.

[ { "created": "Wed, 25 Feb 2004 17:58:03 GMT", "version": "v1" } ]

2007-05-23

[ [ "Chong", "Z. -W.", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ] ]

Massive type IIA supergravity admits a warped AdS_6 x S^4 vacuum solution, which is expected to be dual to an N=2, D=5 super-conformal Yang-Mills theory. We study solutions for strings rotating or spinning in this background. The warp factor plays no essential role when the string spins in the AdS_6, implying a commonality in the leading Regge trajectories between the D=4 and D=5 super-conformal field theories. The warp factor does, however, become important when the string rotates in the S^4, in particular for long strings, which have the the relation E- 3J/2=c_1 + c_2/J^5+..., where the angular momentum J is large. This relation is qualitatively different from that for long strings in the AdS_5 x S^5 background. We also study Penrose limits of the AdS_6 x S^4 solution, one of which gives rise to a free massive string theory with time-dependent masses.

7.927285

6.777143

8.255498

6.906879

7.530865

7.248256

6.901477

6.849276

7.076855

8.396344

6.646977

6.79197

7.588278

7.141982

6.976965

7.005527

6.757092

7.067609

7.137787

7.601014

7.099499

2012.12320

Jean Thierry-Mieg

Jean Thierry-Mieg and Peter Jarvis

SU(2/1) superchiral self-duality: a new quantum, algebraic and geometric paradigm to describe the electroweak interactions

22 pages (14 pages + 5 appendices + 21 ref) 18 Feynman diagrams. This is the version published in JHEP. Relative to version 1, we just fixed some typos, some wording, and added a reference

J. High Energ. Phys. 2021, 1 (2021)

10.1007/JHEP04(2021)001

null

hep-th

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

We propose an extension of the Yang-Mills paradigm from Lie algebras to internal chiral superalgebras. We replace the Lie algebra-valued connection one-form $A$, by a superalgebra-valued polyform $\widetilde{A}$ mixing exterior-forms of all degrees and satisfying the chiral self-duality condition $\widetilde{A} = {}^*\widetilde{A} \,\chi$, where $\chi$ denotes the superalgebra grading operator. This superconnection contains Yang-Mills vectors valued in the even Lie subalgebra, together with scalars and self-dual tensors valued in the odd module, all coupling only to the charge parity CP-positive Fermions. The Fermion quantum loops then induce the usual Yang-Mills-scalar Lagrangian, the self-dual Avdeev-Chizhov propagator of the tensors, plus a new vector-scalar-tensor vertex and several quartic terms which match the geometric definition of the supercurvature. Applied to the $SU(2/1)$ Lie-Kac simple superalgebra, which naturally classifies all the elementary particles, the resulting quantum field theory is anomaly-free and the interactions are governed by the super-Killing metric and by the structure constants of the superalgebra.

[ { "created": "Tue, 22 Dec 2020 19:45:28 GMT", "version": "v1" }, { "created": "Mon, 9 Aug 2021 23:27:40 GMT", "version": "v2" } ]

2021-09-01

[ [ "Thierry-Mieg", "Jean", "" ], [ "Jarvis", "Peter", "" ] ]

We propose an extension of the Yang-Mills paradigm from Lie algebras to internal chiral superalgebras. We replace the Lie algebra-valued connection one-form $A$, by a superalgebra-valued polyform $\widetilde{A}$ mixing exterior-forms of all degrees and satisfying the chiral self-duality condition $\widetilde{A} = {}^*\widetilde{A} \,\chi$, where $\chi$ denotes the superalgebra grading operator. This superconnection contains Yang-Mills vectors valued in the even Lie subalgebra, together with scalars and self-dual tensors valued in the odd module, all coupling only to the charge parity CP-positive Fermions. The Fermion quantum loops then induce the usual Yang-Mills-scalar Lagrangian, the self-dual Avdeev-Chizhov propagator of the tensors, plus a new vector-scalar-tensor vertex and several quartic terms which match the geometric definition of the supercurvature. Applied to the $SU(2/1)$ Lie-Kac simple superalgebra, which naturally classifies all the elementary particles, the resulting quantum field theory is anomaly-free and the interactions are governed by the super-Killing metric and by the structure constants of the superalgebra.

11.655436

12.087919

13.316274

11.580264

12.849703

11.723949

11.911854

11.694943

11.024747

14.576778

10.958072

11.308746

11.832297

11.369813

11.140239

11.339149

11.854893

11.533403

11.600737

12.147882

11.488872

1704.00799

Dan Xie

Dan Xie, Shing-Tung Yau

Three dimensional canonical singularity and five dimensional N=1 SCFT

35 pages, 17 figures

null

10.1007/JHEP06(2017)134

null

hep-th

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

We conjecture that every three dimensional canonical singularity defines a five dimensional N=1 SCFT. Flavor symmetry can be found from singularity structure: non-abelian flavor symmetry is read from the singularity type over one dimensional singular locus. The dimension of Coulomb branch is given by the number of compact crepant divisors from a crepant resolution of singularity. The detailed structure of Coulomb branch is described as follows: a): A chamber of Coulomb branch is described by a crepant resolution, and this chamber is given by its Nef cone and the prepotential is computed from triple intersection numbers; b): Crepant resolution is not unique and different resolutions are related by flops; Nef cones from crepant resolutions form a fan which is claimed to be the full Coulomb branch.

[ { "created": "Mon, 3 Apr 2017 20:35:59 GMT", "version": "v1" } ]

2017-08-02

[ [ "Xie", "Dan", "" ], [ "Yau", "Shing-Tung", "" ] ]

We conjecture that every three dimensional canonical singularity defines a five dimensional N=1 SCFT. Flavor symmetry can be found from singularity structure: non-abelian flavor symmetry is read from the singularity type over one dimensional singular locus. The dimension of Coulomb branch is given by the number of compact crepant divisors from a crepant resolution of singularity. The detailed structure of Coulomb branch is described as follows: a): A chamber of Coulomb branch is described by a crepant resolution, and this chamber is given by its Nef cone and the prepotential is computed from triple intersection numbers; b): Crepant resolution is not unique and different resolutions are related by flops; Nef cones from crepant resolutions form a fan which is claimed to be the full Coulomb branch.

9.463041

11.728292

13.021461

9.260664

11.710294

9.984153

10.342029

10.178226

10.196922

13.403591

9.766388

9.290333

10.507154

9.197917

9.29319

8.995311

9.284158

9.055074

9.62142

10.213923

9.047434

hep-th/0207174

Dmitri Belov

D.M. Belov and A.K. Konechny

On Continuous Moyal Product Structure in String Field Theory

18+7 pages, 1 figure, typos corrections

JHEP 0210 (2002) 049

10.1088/1126-6708/2002/10/049

null

hep-th

null

We consider a diagonalization of Witten's star product for a ghost system of arbitrary background charge and Grassmann parity. To this end we use a bosonized formulation of such systems and a spectral analysis of Neumann matrices. We further identify a continuous Moyal product structure for a combined ghosts+matter system. The normalization of multiplication kernel is discussed.

[ { "created": "Thu, 18 Jul 2002 19:54:20 GMT", "version": "v1" }, { "created": "Fri, 23 Aug 2002 18:59:10 GMT", "version": "v2" } ]

2009-11-07

[ [ "Belov", "D. M.", "" ], [ "Konechny", "A. K.", "" ] ]

We consider a diagonalization of Witten's star product for a ghost system of arbitrary background charge and Grassmann parity. To this end we use a bosonized formulation of such systems and a spectral analysis of Neumann matrices. We further identify a continuous Moyal product structure for a combined ghosts+matter system. The normalization of multiplication kernel is discussed.

30.303507

24.810104

32.798756

24.870787

25.361731

27.391294

23.213221

27.635689

25.048889

34.748463

25.519529

26.185825

29.969683

27.042908

26.67651

26.680155

27.887968

27.131268

26.644754

30.081202

26.743097

hep-th/0412061

Jasbir Nagi

On Extensions of Superconformal Algebras

16 Pages, LaTeX2e, references added, typesetting fixed, Journal ref added

J.Math.Phys. 46 (2005) 042308

10.1063/1.1863652

null

hep-th math-ph math.MP

null

Starting from vector fields that preserve a differential form on a Riemann sphere with Grassmann variables, one can construct a Superconformal Algebra by considering central extensions of the algebra of vector fields. In this note, the N=4 case is analyzed closely, where the presence of weight zero operators in the field theory forces the introduction of non-central extensions. How this modifies the existing Field Theory, Representation Theory and Gelfand-Fuchs constructions is discussed. It is also discussed how graded Riemann sphere geometry can be used to give a geometrical description of the central charge in the N=1 theory.

[ { "created": "Tue, 7 Dec 2004 11:22:10 GMT", "version": "v1" }, { "created": "Wed, 19 Jan 2005 18:10:07 GMT", "version": "v2" }, { "created": "Thu, 31 Mar 2005 16:32:50 GMT", "version": "v3" } ]

2009-11-10

[ [ "Nagi", "Jasbir", "" ] ]

Starting from vector fields that preserve a differential form on a Riemann sphere with Grassmann variables, one can construct a Superconformal Algebra by considering central extensions of the algebra of vector fields. In this note, the N=4 case is analyzed closely, where the presence of weight zero operators in the field theory forces the introduction of non-central extensions. How this modifies the existing Field Theory, Representation Theory and Gelfand-Fuchs constructions is discussed. It is also discussed how graded Riemann sphere geometry can be used to give a geometrical description of the central charge in the N=1 theory.

14.794703

14.318412

17.721979

13.379595

13.438792

13.793125

14.238338

12.858701

13.805519

17.11898

14.169346

13.910328

15.866766

14.216619

14.339507

14.576748

14.593913

14.329655

14.383204

15.691631

14.40624

hep-th/0411244

Mohammad Reza Setare

M R Setare

Vacuum Quantum Effects for Parallel Plates Moving by Uniform Acceleration in Static de Sitter Space

10 pages, no figures, accepted for publication in Int. J. Mod. Phys. A

Int.J.Mod.Phys. A20 (2005) 5679-5688

10.1142/S0217751X05021129

null

hep-th

null

The Casimir forces on two parallel plates moving by uniform proper acceleration in static de Sitter background due to conformally coupled massless scalar field satisfying Dirichlet boundary conditions on the plates is investigated. Static de Sitter space is conformally related to the Rindler space, as a result we can obtain vacuum expectation values of energy-momentum tensor for conformally invariant field in static de Sitter space from the corresponding Rindler counterpart by the conformal transformation.

[ { "created": "Fri, 26 Nov 2004 07:51:54 GMT", "version": "v1" } ]

2009-11-10

[ [ "Setare", "M R", "" ] ]

The Casimir forces on two parallel plates moving by uniform proper acceleration in static de Sitter background due to conformally coupled massless scalar field satisfying Dirichlet boundary conditions on the plates is investigated. Static de Sitter space is conformally related to the Rindler space, as a result we can obtain vacuum expectation values of energy-momentum tensor for conformally invariant field in static de Sitter space from the corresponding Rindler counterpart by the conformal transformation.

6.612307

3.407829

6.19189

4.477161

4.640136

3.383009

3.631083

4.00096

4.136615

6.763359

4.475325

5.084599

6.323404

5.756994

5.618523

5.460526

5.346565

5.621537

5.490624

6.202525

5.660925

hep-th/9407139

null

J. Grundberg and T. H. Hansson (Stockhom University)

The QCD Trace Anomaly as a Vacuum Effect (The vacuum is a medium is the message!)

18 pages, USITP 94-11

Annals Phys. 242 (1995) 413-428

10.1006/aphy.1995.1086

null

hep-th

null

We use arguments taken from the electrodynamics of media to deduce the QCD trace anomaly from the expression for the vacuum energy in the presence of an external color magnetic field.

[ { "created": "Thu, 21 Jul 1994 15:01:45 GMT", "version": "v1" } ]

2015-06-26

[ [ "Grundberg", "J.", "", "Stockhom University" ], [ "Hansson", "T. H.", "", "Stockhom University" ] ]

We use arguments taken from the electrodynamics of media to deduce the QCD trace anomaly from the expression for the vacuum energy in the presence of an external color magnetic field.

14.184292

10.498944

10.396533

10.487556

11.199763

12.408461

11.774943

9.398531

9.809064

9.856072

11.859221

11.399981

10.302683

10.584294

10.671452

11.540225

11.403882

11.269523

10.759004

10.313091

10.789145

1105.2729

Piyabut Burikham

Piyabut Burikham, Tossaporn Chullaphan

Magnetized Domain Walls in the Deconfined Sakai-Sugimoto Model at Finite Baryon Density

20 pages, 9 figures

null

10.1007/JHEP08(2011)026

CERN-PH-TH/2011-113

hep-th hep-ph

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

The magnetized pure pion gradient ($\mathcal{5}\phi$) phase in the deconfined Sakai-Sugimoto model is explored at zero and finite temperature. We found that the temperature has very small effects on the phase. The thermodynamical properties of the phase shows that the excitations behave like a scalar solitonic free particles. By comparing the free energy of the pion gradient phase to the competing multiquark-pion gradient (MQ-$\mathcal{5}\phi$) phase, it becomes apparent that the pure pion gradient is less thermodynamically preferred than the MQ-$\mathcal{5}\phi$ phase. However, in the parameter space where the baryonic chemical potential is smaller than the onset value of the multiquark, the dominating magnetized nuclear matter is the pion gradient phase.

[ { "created": "Fri, 13 May 2011 13:41:25 GMT", "version": "v1" } ]

2015-05-28

[ [ "Burikham", "Piyabut", "" ], [ "Chullaphan", "Tossaporn", "" ] ]

The magnetized pure pion gradient ($\mathcal{5}\phi$) phase in the deconfined Sakai-Sugimoto model is explored at zero and finite temperature. We found that the temperature has very small effects on the phase. The thermodynamical properties of the phase shows that the excitations behave like a scalar solitonic free particles. By comparing the free energy of the pion gradient phase to the competing multiquark-pion gradient (MQ-$\mathcal{5}\phi$) phase, it becomes apparent that the pure pion gradient is less thermodynamically preferred than the MQ-$\mathcal{5}\phi$ phase. However, in the parameter space where the baryonic chemical potential is smaller than the onset value of the multiquark, the dominating magnetized nuclear matter is the pion gradient phase.

9.804869

10.332932

10.23281

9.317855

10.267542

10.63004

9.602324

9.789693

9.20605

9.650369

9.218828

9.534806

9.172454

8.879908

9.363211

9.350074

9.422727

9.321312

8.987116

9.205393

9.375926

1109.2406

Isao Kishimoto

Shoko Inatomi, Isao Kishimoto and Tomohiko Takahashi

Homotopy Operators and Identity-Based Solutions in Cubic Superstring Field Theory

22 pages

null

10.1007/JHEP10(2011)114

null

hep-th

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

We construct a class of nilpotent operators using the BRST current and ghost fields in superstring theory. The operator can be realized in cubic superstring field theory as a kinetic operator in the background of an identity-based solution. For a particular type of the deformed BRST operators, we find a homotopy operator and discuss its relationship to the cohomology in a similar way to the bosonic case, which has been elaborated by the authors.

[ { "created": "Mon, 12 Sep 2011 08:49:29 GMT", "version": "v1" } ]

2015-05-30

[ [ "Inatomi", "Shoko", "" ], [ "Kishimoto", "Isao", "" ], [ "Takahashi", "Tomohiko", "" ] ]

We construct a class of nilpotent operators using the BRST current and ghost fields in superstring theory. The operator can be realized in cubic superstring field theory as a kinetic operator in the background of an identity-based solution. For a particular type of the deformed BRST operators, we find a homotopy operator and discuss its relationship to the cohomology in a similar way to the bosonic case, which has been elaborated by the authors.

14.323455

11.051587

14.684933

11.043475

10.650411

11.537185

10.711839

11.172173

10.737839

16.215998

10.721738

11.621775

14.358997

12.272169

11.873448

11.456207

12.095444

12.317666

12.005446

13.158111

12.187331

1712.07352

Katy Clough Dr

Katy Clough, Raphael Flauger, Eugene A. Lim

Robustness of Inflation to Large Tensor Perturbations

16 pages, 15 figures

JCAP 1805 (2018) no.05, 065

10.1088/1475-7516/2018/05/065

KCL-PH-TH/2017-65

hep-th astro-ph.CO gr-qc

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

Extending our previous work on the robustness of inflation to perturbations in the scalar field, we investigate the effects of perturbations in the transverse traceless part of the extrinsic curvature on the evolution of an inhomogeneous inflaton field. Focusing on small field models, we show that these additional metric inhomogeneities initially reduce the total number of e-folds as the amplitude increases, but that the reduction saturates and even reverses above a certain amplitude. We present an argument that this is due to the presence of a large initial Hubble friction when metric perturbations are large.

[ { "created": "Wed, 20 Dec 2017 07:45:30 GMT", "version": "v1" }, { "created": "Sun, 10 Jun 2018 20:45:32 GMT", "version": "v2" } ]

2018-06-12

[ [ "Clough", "Katy", "" ], [ "Flauger", "Raphael", "" ], [ "Lim", "Eugene A.", "" ] ]

Extending our previous work on the robustness of inflation to perturbations in the scalar field, we investigate the effects of perturbations in the transverse traceless part of the extrinsic curvature on the evolution of an inhomogeneous inflaton field. Focusing on small field models, we show that these additional metric inhomogeneities initially reduce the total number of e-folds as the amplitude increases, but that the reduction saturates and even reverses above a certain amplitude. We present an argument that this is due to the presence of a large initial Hubble friction when metric perturbations are large.

7.648089

7.417

7.441275

7.211823

7.964319

7.900957

7.970445

7.246956

7.443574

7.05221

7.530084

7.327392

7.381027

6.974074

7.374415

7.316073

7.261165

7.131493

7.019799

7.162164

7.029743

1305.6252

Sergey Frolov Dr.

Stephen Britton and Sergey Frolov

Free field representation and form factors of the chiral Gross-Neveu model

null

10.1007/JHEP11(2013)076

TCDMATH 13-07, HMI-13-01

hep-th

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

The free field representation of the Zamolodchikov-Faddeev algebra for the chiral Gross-Neveu model is analysed in detail, and used to construct an integral representation for form factors of the model.

[ { "created": "Mon, 27 May 2013 15:19:46 GMT", "version": "v1" } ]

2015-06-16

[ [ "Britton", "Stephen", "" ], [ "Frolov", "Sergey", "" ] ]

The free field representation of the Zamolodchikov-Faddeev algebra for the chiral Gross-Neveu model is analysed in detail, and used to construct an integral representation for form factors of the model.

5.89705

3.796471

7.50686

4.009197

3.924392

3.786437

3.626884

3.826877

4.136674

6.793495

4.103971

4.638397

6.217737

4.869531

4.561723

4.415003

4.51403

4.841152

4.934189

6.172213

5.096364

1110.5255

Hong Zhang

Hong Zhang and Yutaka Matsuo

Selberg Integral and SU(N) AGT Conjecture

35 pages, 5 figures; v2: minor modifications; v3: typos corrected, references added

null

10.1007/JHEP12(2011)106

null

hep-th math-ph math.MP

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

An intriguing coincidence between the partition function of super Yang-Mills theory and correlation functions of 2d Toda system has been heavily studied recently. While the partition function of gauge theory was explored by Nekrasov, the correlation functions of Toda equation have not been completely understood. In this paper, we study the latter in the form of Dotsenko-Fateev integral and reduce it in the form of Selberg integral of several Jack polynomials. We conjecture a formula for such Selberg average which satisfies some consistency conditions and show that it reproduces the SU(N) version of AGT conjecture.

[ { "created": "Mon, 24 Oct 2011 15:10:07 GMT", "version": "v1" }, { "created": "Mon, 31 Oct 2011 15:20:54 GMT", "version": "v2" }, { "created": "Fri, 9 Dec 2011 06:25:11 GMT", "version": "v3" } ]

2012-01-17

[ [ "Zhang", "Hong", "" ], [ "Matsuo", "Yutaka", "" ] ]

An intriguing coincidence between the partition function of super Yang-Mills theory and correlation functions of 2d Toda system has been heavily studied recently. While the partition function of gauge theory was explored by Nekrasov, the correlation functions of Toda equation have not been completely understood. In this paper, we study the latter in the form of Dotsenko-Fateev integral and reduce it in the form of Selberg integral of several Jack polynomials. We conjecture a formula for such Selberg average which satisfies some consistency conditions and show that it reproduces the SU(N) version of AGT conjecture.

10.628456

9.764067

11.042943

9.42935

9.731766

9.782557

10.13763

8.561211

9.561059

11.573939

8.971593

8.803482

10.461918

9.630976

9.447847

9.311737

9.508966

9.675558

9.43089

9.893507

8.996122

hep-th/0306200

John Gracey

R.E. Browne and J.A. Gracey

Two loop effective potential for < A^2_\mu > in the Landau gauge in quantum chromodynamics

17 latex pages

JHEP 0311 (2003) 029

10.1088/1126-6708/2003/11/029

LTH 581

hep-th hep-ph

null

We construct the effective potential for the dimension two composite operator 1/2 A^{a 2}_\mu in QCD with massless quarks in the Landau gauge for an arbitrary colour group at two loops. For SU(3) we show that an estimate for the effective gluon mass decreases as N_f increases.

[ { "created": "Fri, 20 Jun 2003 09:59:34 GMT", "version": "v1" } ]

2009-11-10

[ [ "Browne", "R. E.", "" ], [ "Gracey", "J. A.", "" ] ]

We construct the effective potential for the dimension two composite operator 1/2 A^{a 2}_\mu in QCD with massless quarks in the Landau gauge for an arbitrary colour group at two loops. For SU(3) we show that an estimate for the effective gluon mass decreases as N_f increases.

12.665781

9.15344

9.208571

8.748728

8.463911

9.252293

8.001295

8.739647

7.850529

10.565914

9.238137

10.269478

10.709785

9.911132

10.029893

9.999151

10.305155

10.293165

10.145233

10.450635

10.119323

hep-th/0510049

Timo Weigand

Ralph Blumenhagen, Gabriele Honecker, Timo Weigand

Non-Abelian Brane Worlds: The Heterotic String Story

29 pages, 7 tables, LATEX; v2: refs added

JHEP 0510:086,2005

10.1088/1126-6708/2005/10/086

MPP-2005-114

hep-th hep-ph

null

We discuss chiral supersymmetric compactifications of the SO(32) heterotic string on Calabi-Yau manifolds equipped with direct sums of stable bundles with structure group U(n). In addition we allow for non-perturbative heterotic five-branes. These models are S-dual to Type I compactifications with D9- and D5-branes, which by themselves are mirror symmetric to general intersecting D6-brane models. For the construction of concrete examples we consider elliptically fibered Calabi-Yau manifolds with SU(n) bundles given by the spectral cover construction. The U(n) bundles are obtained via twisting by line bundles. We present a four-generation Pati-Salam and a three-generation Standard-like model.

[ { "created": "Thu, 6 Oct 2005 08:43:05 GMT", "version": "v1" }, { "created": "Thu, 13 Oct 2005 07:45:12 GMT", "version": "v2" } ]

2010-02-03

[ [ "Blumenhagen", "Ralph", "" ], [ "Honecker", "Gabriele", "" ], [ "Weigand", "Timo", "" ] ]

We discuss chiral supersymmetric compactifications of the SO(32) heterotic string on Calabi-Yau manifolds equipped with direct sums of stable bundles with structure group U(n). In addition we allow for non-perturbative heterotic five-branes. These models are S-dual to Type I compactifications with D9- and D5-branes, which by themselves are mirror symmetric to general intersecting D6-brane models. For the construction of concrete examples we consider elliptically fibered Calabi-Yau manifolds with SU(n) bundles given by the spectral cover construction. The U(n) bundles are obtained via twisting by line bundles. We present a four-generation Pati-Salam and a three-generation Standard-like model.

6.658395

6.171902

8.232578

6.158977

6.580305

6.088207

6.169166

5.90856

6.031545

9.819226

6.220773

6.375119

7.213593

6.651909

6.62067

6.455287

6.618993

6.186142

6.59728

7.150475

6.26377

hep-th/9506200

Amanda Peet

Amanda W. Peet (Princeton University)

Entropy and supersymmetry of $D$ dimensional extremal electric black holes versus string states

26 pages, LaTeX. Version to appear in Nucl. Phys. B. (minor changes: typos fixed and eq.(4.16) corrected)

Nucl.Phys. B456 (1995) 732-752

10.1016/0550-3213(95)00537-2

PUPT-1548

hep-th

null

Following the work of Sen, we consider the correspondence between extremal black holes and string states in the context of the entropy. We obtain and study properties of electrically charged black hole backgrounds of tree level heterotic string theory compactified on a $p$ dimensional torus, for $D=(10-p)=4 \ldots 9$. We study in particular a one--parameter extremal class of these black holes, the members of which are shown to be supersymmetric. We find that the entropy of such an extremal black hole, when calculated at the stringy stretched horizon, scales in such a way that it can be identified with the entropy of the elementary string state with the corresponding quantum numbers.

[ { "created": "Fri, 30 Jun 1995 02:01:18 GMT", "version": "v1" }, { "created": "Sun, 15 Oct 1995 18:07:06 GMT", "version": "v2" } ]

2009-10-28

[ [ "Peet", "Amanda W.", "", "Princeton University" ] ]

Following the work of Sen, we consider the correspondence between extremal black holes and string states in the context of the entropy. We obtain and study properties of electrically charged black hole backgrounds of tree level heterotic string theory compactified on a $p$ dimensional torus, for $D=(10-p)=4 \ldots 9$. We study in particular a one--parameter extremal class of these black holes, the members of which are shown to be supersymmetric. We find that the entropy of such an extremal black hole, when calculated at the stringy stretched horizon, scales in such a way that it can be identified with the entropy of the elementary string state with the corresponding quantum numbers.

12.040337

9.308837

11.157921

9.663419

10.087424

9.618222

9.687259

9.296851

9.453056

10.92259

9.686058

9.81865

10.260198

9.859956

9.855427

9.696814

9.628077

9.889673

9.584348

10.168417

9.64056

hep-th/0506027

Anton Zeitlin

Petr P. Kulish, Anton M. Zeitlin

Quantum Supersymmetric Toda-mKdV Hierarchies

LaTeX2e, elsart.cls, 21 pages, Nuclear Physics B, 2005, in press

Nucl.Phys. B720 (2005) 289-306

10.1016/j.nuclphysb.2005.06.002

null

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

null

In this paper we generalize the quantization procedure of Toda-mKdV hierarchies to the case of arbitrary affine (super)algebras. The quantum analogue of the monodromy matrix, related to the universal R-matrix with the lower Borel subalgebra represented by the corresponding vertex operators is introduced. The auxiliary L-operators satisfying RTT-relation are constructed and the quantum integrability condition is obtained. General approach is illustrated by means of two important examples.

[ { "created": "Thu, 2 Jun 2005 16:01:06 GMT", "version": "v1" } ]

2009-11-11

[ [ "Kulish", "Petr P.", "" ], [ "Zeitlin", "Anton M.", "" ] ]

In this paper we generalize the quantization procedure of Toda-mKdV hierarchies to the case of arbitrary affine (super)algebras. The quantum analogue of the monodromy matrix, related to the universal R-matrix with the lower Borel subalgebra represented by the corresponding vertex operators is introduced. The auxiliary L-operators satisfying RTT-relation are constructed and the quantum integrability condition is obtained. General approach is illustrated by means of two important examples.

10.238513

9.953787

13.584824

9.680021

11.190394

11.127587

10.049563

10.733564

10.32111

12.480412

9.805835

9.674769

10.508028

9.75085

9.756104

9.916448

10.043138

9.803847

9.623152

9.944723

9.242953

1304.2037

John Dixon

J. A. Dixon

Extraordinary Invariants are Seeds that Grow Interacting Theories Out of Free Theories

9 pages

null

hep-th

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

Extraordinary Invariants are elements of the BRST Cohomology Space which are irrevocably dependent on Zinn sources. The existence of an Extraordinary Invariant means that the symmetry is broken in that sector, and that the field equations can almost rescue the invariance. Adding the Extraordinary Invariant to the action results in a new theory with constraints on the starting theory. So Extraordinary Invariants are seeds from which a theory can grow. For a simple example, it is shown in this paper how Yang Mills theory is implicitly contained in the BRST Cohomology of Free Gauge Theory. It comes from an Extraordinary Invariant which can be added to the free gauge action. The Jacobi Identities are generated by requiring that the BRST Poisson Bracket be zero. Since the mechanism is a general one, it can be used to construct new theories. Some of these, for example in Supersymmetric theories, have not yet been noticed using other methods.

[ { "created": "Sun, 7 Apr 2013 18:23:50 GMT", "version": "v1" } ]

2013-04-09

[ [ "Dixon", "J. A.", "" ] ]

Extraordinary Invariants are elements of the BRST Cohomology Space which are irrevocably dependent on Zinn sources. The existence of an Extraordinary Invariant means that the symmetry is broken in that sector, and that the field equations can almost rescue the invariance. Adding the Extraordinary Invariant to the action results in a new theory with constraints on the starting theory. So Extraordinary Invariants are seeds from which a theory can grow. For a simple example, it is shown in this paper how Yang Mills theory is implicitly contained in the BRST Cohomology of Free Gauge Theory. It comes from an Extraordinary Invariant which can be added to the free gauge action. The Jacobi Identities are generated by requiring that the BRST Poisson Bracket be zero. Since the mechanism is a general one, it can be used to construct new theories. Some of these, for example in Supersymmetric theories, have not yet been noticed using other methods.

12.490053

12.406407

11.912643

12.489598

12.790376

11.735229

11.693307

12.020672

11.482922

12.711722

11.898021

11.92815

12.080216

12.209524

12.092445

12.032807

11.902321

11.865855

11.960412

12.154547

12.081772

2103.08923

Joseph Tooby-Smith

Ben Gripaios, Joseph Tooby-Smith

Inverse Higgs phenomena as duals of holonomic constraints

28 pages. v2: version accepted for publication

null

10.1088/1751-8121/ac4c66

null

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

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

The inverse Higgs phenomenon, which plays an important r\^ole in physical systems with Goldstone bosons (such as the phonons in a crystal) involves nonholonomic mechanical constraints. By formulating field theories with symmetries and constraints in a general way using the language of differential geometry, we show that many examples of constraints in inverse Higgs phenomena fall into a special class, which we call coholonomic constraints, that are dual (in the sense of category theory) to holonomic constraints. Just as for holonomic constraints, systems with coholonomic constraints are equivalent to unconstrained systems (whose degrees of freedom are known as essential Goldstone bosons), making it easier to study their consistency and dynamics. The remaining examples of inverse Higgs phenomena in the literature require the dual of a slight generalisation of a holonomic constraint, which we call (co)meronomic. Our formalism simplifies and clarifies the many ad hoc assumptions and constructions present in the literature. In particular, it identifies which are necessary and which are merely convenient. It also opens the way to studying much more general dynamical examples, including systems which have no well-defined notion of a target space.

[ { "created": "Tue, 16 Mar 2021 09:08:55 GMT", "version": "v1" }, { "created": "Tue, 18 Jan 2022 20:32:13 GMT", "version": "v2" } ]

2022-02-16

[ [ "Gripaios", "Ben", "" ], [ "Tooby-Smith", "Joseph", "" ] ]

The inverse Higgs phenomenon, which plays an important r\^ole in physical systems with Goldstone bosons (such as the phonons in a crystal) involves nonholonomic mechanical constraints. By formulating field theories with symmetries and constraints in a general way using the language of differential geometry, we show that many examples of constraints in inverse Higgs phenomena fall into a special class, which we call coholonomic constraints, that are dual (in the sense of category theory) to holonomic constraints. Just as for holonomic constraints, systems with coholonomic constraints are equivalent to unconstrained systems (whose degrees of freedom are known as essential Goldstone bosons), making it easier to study their consistency and dynamics. The remaining examples of inverse Higgs phenomena in the literature require the dual of a slight generalisation of a holonomic constraint, which we call (co)meronomic. Our formalism simplifies and clarifies the many ad hoc assumptions and constructions present in the literature. In particular, it identifies which are necessary and which are merely convenient. It also opens the way to studying much more general dynamical examples, including systems which have no well-defined notion of a target space.

9.475682

11.740211

10.607364

10.343722

11.493942

11.31567

10.337002

10.048248

10.197637

11.807762

9.890153

9.906154

9.748589

9.508876

9.295236

9.063242

9.330413

9.604238

9.501526

9.649973

9.305393

0705.0013

Ian Ellwood

Rolling to the tachyon vacuum in string field theory

16 pages, 5 figures, References and comments added

JHEP0712:028,2007

10.1088/1126-6708/2007/12/028

null

hep-th

null

We argue that the rolling-tachyon solution in cubic OSFT proceeds at late times to precisely the analytic tachyon-vacuum solution constructed by Schnabl. In addition, we demonstrate the relationship between the rolling-tachyon solution and the standard BCFT description by showing that there is a finite gauge transformation which relates the two.

[ { "created": "Mon, 30 Apr 2007 21:33:12 GMT", "version": "v1" }, { "created": "Tue, 25 Sep 2007 01:04:58 GMT", "version": "v2" } ]

2008-11-26

[ [ "Ellwood", "Ian", "" ] ]

We argue that the rolling-tachyon solution in cubic OSFT proceeds at late times to precisely the analytic tachyon-vacuum solution constructed by Schnabl. In addition, we demonstrate the relationship between the rolling-tachyon solution and the standard BCFT description by showing that there is a finite gauge transformation which relates the two.

14.921283

12.064863

17.812769

12.24987

13.531729

12.653014

12.665612

14.977919

12.317022

18.517172

12.272827

13.177414

15.429241

13.314528

12.414299

13.349571

13.389259

12.736368

13.538809

15.192814

13.157856

hep-th/9206030

Kanehisa Takasaki

W algebra, twistor, and nonlinear integrable systems

15 pages, KUCP-0049/92

null

hep-th

null

Small errors are corrected

[ { "created": "Sat, 6 Jun 1992 06:28:28 GMT", "version": "v1" }, { "created": "Wed, 10 Jun 1992 14:06:57 GMT", "version": "v2" }, { "created": "Fri, 24 Jul 1992 09:29:04 GMT", "version": "v3" } ]

2008-02-03

[ [ "Takasaki", "Kanehisa", "" ] ]

Small errors are corrected

655.4328

346.253204

496.021515

430.59314

422.468536

414.268402

340.219604

466.92215

219.523743

1,681.731079

600.368042

299.255219

621.274597

537.504272

434.962677

416.038574

363.485016

537.739929

501.584717

538.401367

795.082092

hep-th/0703279

Paul S. Aspinwall

Topological D-Branes and Commutative Algebra

25 pages, refs added

null

DUKE-CGTP-07-01

hep-th

null

We show that questions concerning the topological B-model on a Calabi-Yau manifold in the Landau-Ginzburg phase can be rephrased in the language of commutative algebra. This yields interesting and very practical methods for analyzing the model. We demonstrate how the relevant "Ext" groups and superpotentials can be computed efficiently by computer algebra packages such as Macaulay. This picture leads us to conjecture a general description of D-branes in linear sigma models in terms of triangulated categories. Each phase of the linear sigma model is associated with a different presentation of the category of D-branes.

[ { "created": "Thu, 29 Mar 2007 19:37:34 GMT", "version": "v1" }, { "created": "Tue, 10 Apr 2007 15:40:00 GMT", "version": "v2" } ]

2007-05-23

[ [ "Aspinwall", "Paul S.", "" ] ]

We show that questions concerning the topological B-model on a Calabi-Yau manifold in the Landau-Ginzburg phase can be rephrased in the language of commutative algebra. This yields interesting and very practical methods for analyzing the model. We demonstrate how the relevant "Ext" groups and superpotentials can be computed efficiently by computer algebra packages such as Macaulay. This picture leads us to conjecture a general description of D-branes in linear sigma models in terms of triangulated categories. Each phase of the linear sigma model is associated with a different presentation of the category of D-branes.

8.87858

7.5853

9.714315

7.677311

6.835174

8.152402

7.59384

7.142083

7.660922

10.687551

7.710621

7.5956

8.815284

7.884229

7.800198

7.818192

7.687346

7.96452

7.699673

8.460636

7.757784

1508.03268

Dmitry Melnikov

Ivan Gordeli, Dmitry Melnikov, Antti Niemi and Ara Sedrakyan

Chern-Simons Improved Hamiltonians for Strings in Three Space Dimensions

5 pages

Phys. Rev. D 94, 021701 (2016)

10.1103/PhysRevD.94.021701

ITEP-TH-18/15

hep-th math-ph math.MP

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

The Frenet equation governs the extrinsic geometry of a string in three-dimensional ambient space in terms of the curvature and torsion, which are both scalar functions under string reparameterisations. The description engages a local SO(2) gauge symmetry, which emerges from the invariance of the extrinsic string geometry under local frame rotations around the tangent vector. Here we inquire how to construct the most general SO(2) gauge invariant Hamiltonian of strings, in terms of the curvature and torsion. The construction instructs us to introduce a long-range (self-) interaction between strings, which is mediated by a three dimensional bulk gauge field with a Chern-Simons self-interaction. The results support the proposal that fractional statistics should be prevalent in the case of three dimensional string-like configurations.

[ { "created": "Thu, 13 Aug 2015 16:57:24 GMT", "version": "v1" } ]

2016-07-13

[ [ "Gordeli", "Ivan", "" ], [ "Melnikov", "Dmitry", "" ], [ "Niemi", "Antti", "" ], [ "Sedrakyan", "Ara", "" ] ]

The Frenet equation governs the extrinsic geometry of a string in three-dimensional ambient space in terms of the curvature and torsion, which are both scalar functions under string reparameterisations. The description engages a local SO(2) gauge symmetry, which emerges from the invariance of the extrinsic string geometry under local frame rotations around the tangent vector. Here we inquire how to construct the most general SO(2) gauge invariant Hamiltonian of strings, in terms of the curvature and torsion. The construction instructs us to introduce a long-range (self-) interaction between strings, which is mediated by a three dimensional bulk gauge field with a Chern-Simons self-interaction. The results support the proposal that fractional statistics should be prevalent in the case of three dimensional string-like configurations.

11.498732

11.228483

11.067153

10.708282

11.684405

11.350507

11.197074

10.551706

11.134554

12.149109

10.520255

10.75268

10.843808

10.848596

10.669561

10.34356

10.836864

10.485888

10.875995

10.707317

10.317533

hep-th/0112054

David Mateos

David Mateos, Selena Ng and Paul K. Townsend

Tachyons, Supertubes and Brane/Anti-Brane Systems

1+23 pages, 2 figures, LaTeX. V2, 1+28 pages: Further generalization to non-planar cross-sections and addition of an entirely new section with the explicit supergravity solutions. V3, 1+30 pages: Bound on the angular momentum added, other minor changes in Section 2

JHEP 0203 (2002) 016

10.1088/1126-6708/2002/03/016

DAMTP-2001-106

hep-th

null

We find supertubes with arbitrary (and not necessarily planar) cross section; the stability against the D2-brane tension is due to a compensation by the local momentum generated by Born-Infeld fields. Stability against long-range supergravity forces is also established. We find the corresponding solutions of the infinite-N M(atrix) model. The supersymmetric D2/anti-D2 system is a special case of the general supertube, and we show that there are no open-string tachyons in this system via a computation of the open-string one-loop vacuum energy.

[ { "created": "Fri, 7 Dec 2001 19:30:28 GMT", "version": "v1" }, { "created": "Fri, 8 Feb 2002 17:55:59 GMT", "version": "v2" }, { "created": "Thu, 21 Feb 2002 18:23:21 GMT", "version": "v3" } ]

2009-11-07

[ [ "Mateos", "David", "" ], [ "Ng", "Selena", "" ], [ "Townsend", "Paul K.", "" ] ]

We find supertubes with arbitrary (and not necessarily planar) cross section; the stability against the D2-brane tension is due to a compensation by the local momentum generated by Born-Infeld fields. Stability against long-range supergravity forces is also established. We find the corresponding solutions of the infinite-N M(atrix) model. The supersymmetric D2/anti-D2 system is a special case of the general supertube, and we show that there are no open-string tachyons in this system via a computation of the open-string one-loop vacuum energy.

14.459476

12.732988

17.847902

13.392076

13.843718

12.888233

13.935832

13.27679

13.420846

17.623247

12.951385

13.430913

14.71955

13.119636

13.01554

12.511909

13.142233

12.82512

13.247511

14.190025

12.68315

1610.05878

Yasuaki Hikida

Yasuaki Hikida and Taiki Wada

Anomalous dimensions of higher spin currents in large N CFTs

36 pages, 5 figures, minor changes, references added, published version

null

10.1007/JHEP01(2017)032

YITP-16-117

hep-th

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

We examine anomalous dimensions of higher spin currents in the critical O(N) scalar model and the Gross-Neveu model in arbitrary d dimensions. These two models are proposed to be dual to the type A and type B Vasiliev theories, respectively. We reproduce the known results on the anomalous dimensions to the leading order in 1/N by using conformal perturbation theory. This work can be regarded as an extension of previous work on the critical O(N) scalars in 3 dimensions, where it was shown that the bulk computation for the masses of higher spin fields on AdS_4 can be mapped to the boundary one in conformal perturbation theory. The anomalous dimensions of the both theories agree with each other up to an overall factor depending only on d, and we discuss the coincidence for d=3 by utilizing N=2 supersymmetry.

[ { "created": "Wed, 19 Oct 2016 06:17:48 GMT", "version": "v1" }, { "created": "Tue, 25 Oct 2016 07:34:46 GMT", "version": "v2" }, { "created": "Wed, 11 Jan 2017 00:53:39 GMT", "version": "v3" } ]

2017-02-01

[ [ "Hikida", "Yasuaki", "" ], [ "Wada", "Taiki", "" ] ]

We examine anomalous dimensions of higher spin currents in the critical O(N) scalar model and the Gross-Neveu model in arbitrary d dimensions. These two models are proposed to be dual to the type A and type B Vasiliev theories, respectively. We reproduce the known results on the anomalous dimensions to the leading order in 1/N by using conformal perturbation theory. This work can be regarded as an extension of previous work on the critical O(N) scalars in 3 dimensions, where it was shown that the bulk computation for the masses of higher spin fields on AdS_4 can be mapped to the boundary one in conformal perturbation theory. The anomalous dimensions of the both theories agree with each other up to an overall factor depending only on d, and we discuss the coincidence for d=3 by utilizing N=2 supersymmetry.

5.979113

5.543729

7.271192

5.815155

5.774683

5.84227

5.699623

5.941494

5.640182

7.125071

5.651865

5.766938

6.497375

5.768097

5.921829

5.687499

5.692255

5.706693

5.813385

6.285172

5.73139

1304.1472

Diego Marques

David Geissbuhler, Diego Marques, Carmen Nunez and Victor Penas

Exploring Double Field Theory

To appear in JHEP

null

10.1007/JHEP06(2013)101

null

hep-th

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

We present a flux formulation of Double Field Theory, in which geometric and non-geometric fluxes are dynamical and field-dependent. Gauge consistency imposes a set of quadratic constraints on the dynamical fluxes, which can be solved by truly double configurations. The constraints are related to generalized Bianchi Identities for (non-)geometric fluxes in the double space, sourced by (exotic) branes. Following previous constructions, we then obtain generalized connections, torsion and curvatures compatible with the consistency conditions. The strong constraint-violating terms needed to make contact with gauged supergravities containing duality orbits of non-geometric fluxes, systematically arise in this formulation.

[ { "created": "Thu, 4 Apr 2013 19:18:03 GMT", "version": "v1" }, { "created": "Thu, 18 Apr 2013 17:02:05 GMT", "version": "v2" }, { "created": "Thu, 27 Jun 2013 12:15:45 GMT", "version": "v3" } ]

2015-06-15

[ [ "Geissbuhler", "David", "" ], [ "Marques", "Diego", "" ], [ "Nunez", "Carmen", "" ], [ "Penas", "Victor", "" ] ]

We present a flux formulation of Double Field Theory, in which geometric and non-geometric fluxes are dynamical and field-dependent. Gauge consistency imposes a set of quadratic constraints on the dynamical fluxes, which can be solved by truly double configurations. The constraints are related to generalized Bianchi Identities for (non-)geometric fluxes in the double space, sourced by (exotic) branes. Following previous constructions, we then obtain generalized connections, torsion and curvatures compatible with the consistency conditions. The strong constraint-violating terms needed to make contact with gauged supergravities containing duality orbits of non-geometric fluxes, systematically arise in this formulation.

13.568368

12.496526

15.082813

11.545395

14.925766

13.496725

12.134794

12.476866

12.136312

15.693192

11.552395

12.628961

12.241085

12.532357

12.789722

13.115382

13.200838

12.283937

12.800955

12.490536

12.866222

hep-th/9912144

Jacob Sonnenschein

V. Kaplunovsky, J. Sonnenschein, S. Theisen, S. Yankielowicz

On the Duality between Perturbative Heterotic Orbifolds and M-Theory on T^4/Z_N

45 pages, one figure

Nucl.Phys. B590 (2000) 123-160

10.1016/S0550-3213(00)00460-0

null

hep-th

null

The heterotic $E_8\times E_8$ string compactified on an orbifold $T^4/\IZ_N$ has gauge group $G\times G'$ with (massless) states in its twisted sectors which are charged under both gauge group factors. In the dual M-theory on $(T^4/\IZ_N)\otimes(S^1/\IZ_2)$ the two group factors are separated in the eleventh direction and the G and G' gauge fields are confined to the two boundary planes, respectively. We present a scenario which allows for a resolution of this apparent paradox and assigns all massless matter multiplets locally to the different six-dimensional boundary fixed planes. The resolution consists of diagonal mixing between the gauge groups which live on the connecting seven-planes (6d and the eleventh dimension) and one of the gauge group factors. We present evidence supporting this mixing by considering gauge couplings and verify local anomaly cancellation. We also discuss open problems which arise in the presence of U_1 factors.

[ { "created": "Thu, 16 Dec 1999 16:20:42 GMT", "version": "v1" } ]

2009-10-31

[ [ "Kaplunovsky", "V.", "" ], [ "Sonnenschein", "J.", "" ], [ "Theisen", "S.", "" ], [ "Yankielowicz", "S.", "" ] ]

The heterotic $E_8\times E_8$ string compactified on an orbifold $T^4/\IZ_N$ has gauge group $G\times G'$ with (massless) states in its twisted sectors which are charged under both gauge group factors. In the dual M-theory on $(T^4/\IZ_N)\otimes(S^1/\IZ_2)$ the two group factors are separated in the eleventh direction and the G and G' gauge fields are confined to the two boundary planes, respectively. We present a scenario which allows for a resolution of this apparent paradox and assigns all massless matter multiplets locally to the different six-dimensional boundary fixed planes. The resolution consists of diagonal mixing between the gauge groups which live on the connecting seven-planes (6d and the eleventh dimension) and one of the gauge group factors. We present evidence supporting this mixing by considering gauge couplings and verify local anomaly cancellation. We also discuss open problems which arise in the presence of U_1 factors.

11.141213

11.350707

12.851563

10.785367

12.168775

11.975284

11.76765

11.130118

11.168262

14.896351

10.794479

11.033503

11.454525

10.708989

11.294474

10.778638

10.657457

11.206385

10.605485

11.451974

10.627444

hep-th/0010268

Ali Chamseddine

Ali H. Chamseddine (CAMS, AUB)

Complex Gravity and Noncommutative Geometry

10 pages. Talk given at the Strings 2000 meeting, July 10-15 2000, University of Michigan, Ann Arbor

Int.J.Mod.Phys. A16 (2001) 759-766

10.1142/S0217751X01003883

CAMS/00-10

hep-th

null

The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. An immediate consequence of this is that all fields get complexified. By applying this idea to gravity one discovers that the metric becomes complex. Complex gravity is constructed by gauging the symmetry $U(1,D-1)$. The resulting action gives one specific form of nonsymmetric gravity. In contrast to other theories of nonsymmetric gravity the action is both unique and gauge invariant. It is argued that for this theory to be consistent one must prove the existence of generalized diffeomorphism invariance. The results are easily generalized to noncommutative spaces.

[ { "created": "Sun, 29 Oct 2000 14:50:49 GMT", "version": "v1" } ]

2015-06-25

[ [ "Chamseddine", "Ali H.", "", "CAMS, AUB" ] ]

The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. An immediate consequence of this is that all fields get complexified. By applying this idea to gravity one discovers that the metric becomes complex. Complex gravity is constructed by gauging the symmetry $U(1,D-1)$. The resulting action gives one specific form of nonsymmetric gravity. In contrast to other theories of nonsymmetric gravity the action is both unique and gauge invariant. It is argued that for this theory to be consistent one must prove the existence of generalized diffeomorphism invariance. The results are easily generalized to noncommutative spaces.

11.410994

9.719971

12.014629

9.778549

10.992553

10.984478

10.901184

10.221279

9.620294

12.780691

9.702543

10.459402

11.083947

10.700468

10.946413

10.942275

10.828896

10.918586

10.756167

11.241872

10.236561

2205.01459

Francois Gieres

Improvement of a conserved current density versus adding a total derivative to a Lagrangian density

44 pages, 1 figure, Dedicated to the memory of Krzysztof Gawedzki; Published version with a new section on currents associated to conformal invariance and a new appendix on the procedure of Gell-Mann and Levy

Fortschr. Phys. 70 (2022) 7-8, 2200078

10.1002/prop.202200078

null

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

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

For classical relativistic field theory in Minkowski space-time, the addition of a superpotential term to a conserved current density is trivial in the sense that it does not modify the local conservation law nor change the conserved charge, though it may allow us to obtain a current density with some improved properties. The addition of a total derivative term to a Lagrangian density is also trivial in the sense that it does not modify the equations of motion of the theory. These facts suggest that both operations are related and possibly equivalent to each other for any global symmetry of an action functional. We address this question following the study of two quite different (and well known) instances: the Callan-Coleman-Jackiw improvement of the canonical energy-momentum tensor for scalar and vector fields (providing an on-shell traceless energy-momentum tensor) and the construction of a current density satisfying a zero curvature condition for two-dimensional sigma models on deformed spaces (notably the squashed three-sphere and warped AdS spaces). These instances correspond to fairly different implementations of the general results. An appendix addresses the precise relationship between the approaches to local conservation laws based on active and passive symmetry transformations, respectively.

[ { "created": "Tue, 3 May 2022 12:44:16 GMT", "version": "v1" }, { "created": "Sat, 17 Sep 2022 12:37:28 GMT", "version": "v2" } ]

2022-09-20

[ [ "Gieres", "Francois", "" ] ]

For classical relativistic field theory in Minkowski space-time, the addition of a superpotential term to a conserved current density is trivial in the sense that it does not modify the local conservation law nor change the conserved charge, though it may allow us to obtain a current density with some improved properties. The addition of a total derivative term to a Lagrangian density is also trivial in the sense that it does not modify the equations of motion of the theory. These facts suggest that both operations are related and possibly equivalent to each other for any global symmetry of an action functional. We address this question following the study of two quite different (and well known) instances: the Callan-Coleman-Jackiw improvement of the canonical energy-momentum tensor for scalar and vector fields (providing an on-shell traceless energy-momentum tensor) and the construction of a current density satisfying a zero curvature condition for two-dimensional sigma models on deformed spaces (notably the squashed three-sphere and warped AdS spaces). These instances correspond to fairly different implementations of the general results. An appendix addresses the precise relationship between the approaches to local conservation laws based on active and passive symmetry transformations, respectively.

9.282831

10.25472

10.161188

9.71032

10.594615

10.238108

10.430495

10.248189

9.842498

11.576261

9.968913

9.338467

9.57028

9.302829

9.488311

9.329209

9.371669

9.285028

9.172076

9.559977

9.172651

2210.14754

Brian Dolan

Denjoe O'Connor and Brian P. Dolan

Exceptional fuzzy spaces and octonions

To be published in Particles, Fields and Topology: Celebrating A.P. Balachandran, a Festschrift volume for A.P. Balachandran; 12 pages

null

DIAS-STP-22-16

hep-th

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

We construct the fuzzy spaces based on the three non-trivial co-adjoint orbits of the exceptional simple Lie group, $G_2$.

[ { "created": "Wed, 26 Oct 2022 14:35:07 GMT", "version": "v1" } ]

2022-10-27

[ [ "O'Connor", "Denjoe", "" ], [ "Dolan", "Brian P.", "" ] ]

We construct the fuzzy spaces based on the three non-trivial co-adjoint orbits of the exceptional simple Lie group, $G_2$.

16.251944

10.022425

12.786445

10.336076

9.410831

8.788024

10.451565

9.445557

9.532669

16.30452

9.546381

9.615637

11.474319

9.89965

9.528554

9.695374

9.603724

9.768353

9.45072

11.45183

9.022623

hep-th/0009152

Kei-Ichi Kondo

Kei-Ichi Kondo (Chiba Univ., Japan)

Dual superconductivity, monopole condensation and confining string in low-energy Yang-Mills theory. Part I

80 pages, 6 figures

null

CHIBA-EP-123

hep-th hep-lat hep-ph nucl-th

null

We show that the QCD vacuum (without dynamical quarks) is a dual superconductor at least in the low-energy region in the sense that monopole condensation does really occur. In fact, we derive the dual Ginzburg-Landau theory (i.e., dual Abelian Higgs model) directly from the SU(2) Yang-Mills theory by adopting the maximal Abelian gauge. The dual superconductor can be on the border between type II and type I, excluding the London limit. The masses of the dual Abelian gauge field is expressed by the Yang-Mills gauge coupling constant and the mass of the off-diagonal gluon of the original Yang-Mills theory. Moreover, we can rewrite the Yang-Mills theory into an theory written in terms of the Abelian magnetic monopole alone at least in the low-energy region. Magnetic monopole condensation originates in the non-zero mass of off-diagonal gluons. Finally, we derive the confining string theory describing the low-energy Gluodynamics. Then the area law of the large Wilson loop is an immediate consequence of these constructions. Three low-energy effective theories give the same string tension.

[ { "created": "Wed, 20 Sep 2000 10:45:28 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kondo", "Kei-Ichi", "", "Chiba Univ., Japan" ] ]

We show that the QCD vacuum (without dynamical quarks) is a dual superconductor at least in the low-energy region in the sense that monopole condensation does really occur. In fact, we derive the dual Ginzburg-Landau theory (i.e., dual Abelian Higgs model) directly from the SU(2) Yang-Mills theory by adopting the maximal Abelian gauge. The dual superconductor can be on the border between type II and type I, excluding the London limit. The masses of the dual Abelian gauge field is expressed by the Yang-Mills gauge coupling constant and the mass of the off-diagonal gluon of the original Yang-Mills theory. Moreover, we can rewrite the Yang-Mills theory into an theory written in terms of the Abelian magnetic monopole alone at least in the low-energy region. Magnetic monopole condensation originates in the non-zero mass of off-diagonal gluons. Finally, we derive the confining string theory describing the low-energy Gluodynamics. Then the area law of the large Wilson loop is an immediate consequence of these constructions. Three low-energy effective theories give the same string tension.

8.107183

7.897959

8.06342

7.511883

7.667035

7.858439

7.533978

7.911598

7.59212

8.326858

7.196105

7.742549

7.979247

7.668124

7.850983

7.832528

7.676924

7.774437

7.797974

7.912209

7.519999

hep-th/0610097

Christoph Stephan A.

Christoph A. Stephan

Almost-Commutative Geometry, massive Neutrinos and the Orientability Axiom in KO-Dimension 6

null

hep-th

null

In recent publications Alain Connes [1] and John Barrett [2] proposed to change the KO-dimension of the internal space of the standard model in its noncommutative representation [3] from zero to six. This apparently minor modification allowed to resolve the fermion doubling problem [4], and the introduction of Majorana mass terms for the right-handed neutrino. The price which had to be paid was that at least the orientability axiom of noncommutative geometry [5,6] may not be obeyed by the underlying geometry. In this publication we review three internal geometries, all three failing to meet the orientability axiom of noncommutative geometry. They will serve as examples to illustrate the nature of this lack of orientability. We will present an extension of the minimal standard model found in [7] by a right-handed neutrino, where only the sub-representation associated to this neutrino is not orientable.

[ { "created": "Mon, 9 Oct 2006 15:39:10 GMT", "version": "v1" } ]

2007-05-23

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

In recent publications Alain Connes [1] and John Barrett [2] proposed to change the KO-dimension of the internal space of the standard model in its noncommutative representation [3] from zero to six. This apparently minor modification allowed to resolve the fermion doubling problem [4], and the introduction of Majorana mass terms for the right-handed neutrino. The price which had to be paid was that at least the orientability axiom of noncommutative geometry [5,6] may not be obeyed by the underlying geometry. In this publication we review three internal geometries, all three failing to meet the orientability axiom of noncommutative geometry. They will serve as examples to illustrate the nature of this lack of orientability. We will present an extension of the minimal standard model found in [7] by a right-handed neutrino, where only the sub-representation associated to this neutrino is not orientable.

10.006884

10.474257

10.448924

9.289223

10.749458

10.216448

10.258691

9.36904

8.922426

10.985936

10.107432

9.916424

9.749427

9.541414

9.90533

9.581527

9.694013

9.631494

9.244972

9.89521

9.809289

2207.00831

Philipe De Fabritiis

W. B. De Lima and P. De Fabritiis

Self-dual Maxwell-Chern-Simons solitons in a parity-invariant scenario

9 pages, 8 figures. Published in PLB

Phys. Lett. B 833, 137326 (2022)

10.1016/j.physletb.2022.137326

null

hep-th cond-mat.other

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

We present a self-dual parity-invariant $U(1) \times U(1)$ Maxwell-Chern-Simons scalar $\text{QED}_3$. We show that the energy functional admits a Bogomol'nyi-type lower bound, whose saturation gives rise to first order self-duality equations. We perform a detailed analysis of this system, discussing its main features and exhibiting explicit numerical solutions corresponding to finite-energy topological vortices and non-topological solitons. The mixed Chern-Simons term plays an important role here, ensuring the main properties of the model and suggesting possible applications in condensed matter.

[ { "created": "Sat, 2 Jul 2022 13:34:47 GMT", "version": "v1" }, { "created": "Wed, 27 Jul 2022 16:44:55 GMT", "version": "v2" } ]

2022-07-28

[ [ "De Lima", "W. B.", "" ], [ "De Fabritiis", "P.", "" ] ]

We present a self-dual parity-invariant $U(1) \times U(1)$ Maxwell-Chern-Simons scalar $\text{QED}_3$. We show that the energy functional admits a Bogomol'nyi-type lower bound, whose saturation gives rise to first order self-duality equations. We perform a detailed analysis of this system, discussing its main features and exhibiting explicit numerical solutions corresponding to finite-energy topological vortices and non-topological solitons. The mixed Chern-Simons term plays an important role here, ensuring the main properties of the model and suggesting possible applications in condensed matter.

7.544041

6.496603

9.034587

7.172148

7.41418

6.844378

6.912511

7.138521

6.840814

8.24301

6.998061

7.087572

8.054264

7.13369

7.134021

7.152743

6.975115

6.852686

6.925996

7.900884

6.976714

hep-th/0112190

Marco Billo'

M. Billo', L. Gallot, A. Liccardo

Fractional branes on ALE orbifolds

Latex, 6 pages, to appear in the proceedings of the RTN meeting ``The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions'', (Corfu, September 2001)

null

DFTT 38/2001, LAPTH-882/01

hep-th

null

We derive the classical type IIB supergravity solution describing fractional D3-branes transverse to a C^2/Gamma orbifold singularity, for Gamma any Kleinian ADE subgroup. This solution fully describes the N=2 gauge theory with appropriate gauge groups and matter living on the branes, up to non-perturbative instanton contributions.

[ { "created": "Thu, 20 Dec 2001 08:53:12 GMT", "version": "v1" } ]

2007-05-23

[ [ "Billo'", "M.", "" ], [ "Gallot", "L.", "" ], [ "Liccardo", "A.", "" ] ]

We derive the classical type IIB supergravity solution describing fractional D3-branes transverse to a C^2/Gamma orbifold singularity, for Gamma any Kleinian ADE subgroup. This solution fully describes the N=2 gauge theory with appropriate gauge groups and matter living on the branes, up to non-perturbative instanton contributions.

13.264709

9.382724

14.357224

9.580546

9.596868

9.278255

9.685449

7.955392

8.400556

14.238755

7.853019

10.374775

12.447962

10.547442

10.764944

11.141315

10.334075

11.144168

11.400747

14.854572

11.304282

0910.4587

Thomas Hartman

Dionysios Anninos and Thomas Hartman

Holography at an Extremal De Sitter Horizon

15 pages

JHEP 1003:096,2010

10.1007/JHEP03(2010)096

null

hep-th

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

Rotating maximal black holes in four-dimensional de Sitter space, for which the outer event horizon coincides with the cosmological horizon, have an infinite near-horizon region described by the rotating Nariai metric. We show that the asymptotic symmetry group at the spacelike future boundary of the near-horizon region contains a Virasoro algebra with a real, positive central charge. This is evidence that quantum gravity in a rotating Nariai background is dual to a two-dimensional Euclidean conformal field theory. These results are related to the Kerr/CFT correspondence for extremal black holes, but have two key differences: one of the black hole event horizons has been traded for the cosmological horizon, and the near-horizon geometry is a fiber over dS_2 rather than AdS_2.

[ { "created": "Fri, 23 Oct 2009 20:03:47 GMT", "version": "v1" } ]

2015-05-14

[ [ "Anninos", "Dionysios", "" ], [ "Hartman", "Thomas", "" ] ]

Rotating maximal black holes in four-dimensional de Sitter space, for which the outer event horizon coincides with the cosmological horizon, have an infinite near-horizon region described by the rotating Nariai metric. We show that the asymptotic symmetry group at the spacelike future boundary of the near-horizon region contains a Virasoro algebra with a real, positive central charge. This is evidence that quantum gravity in a rotating Nariai background is dual to a two-dimensional Euclidean conformal field theory. These results are related to the Kerr/CFT correspondence for extremal black holes, but have two key differences: one of the black hole event horizons has been traded for the cosmological horizon, and the near-horizon geometry is a fiber over dS_2 rather than AdS_2.

5.754424

5.111563

6.16253

5.496081

5.510892

5.863927

5.876741

5.174457

5.645536

6.130954

5.613464

5.529722

5.769499

5.474921

5.497197

5.593561

5.462913

5.46483

5.586717

5.898028

5.451267

hep-th/9410034

Sunil Mukhi

Debashis Ghoshal (Mehta Research Inst), Camillo Imbimbo (CERN), Sunil Mukhi (Tata Inst)

Topological 2D String Theory: Higher-genus Amplitudes and W-infinity Identities

harvmac, 20 pages in `b' option. Revised version has some Comments added and minor notational modifications for improved clarity

Nucl.Phys. B440 (1995) 355-372

10.1016/0550-3213(95)00036-R

MRI-PHY/13/94, CERN-TH-7458/94, TIFR/TH/39-94

hep-th

null

We investigate Landau-Ginzburg string theory with the singular superpotential X^{-1} on arbitrary Riemann surfaces. This theory, which is a topological version of the c=1 string at the self-dual radius, is solved using results from intersection theory and from the analysis of matter Landau-Ginzburg systems, and consistency requirements. Higher-genus amplitudes decompose as a sum of contributions from the bulk and the boundary of moduli space. These amplitudes generate the W-infinity algebra.

[ { "created": "Thu, 6 Oct 1994 11:53:53 GMT", "version": "v1" }, { "created": "Tue, 24 Jan 1995 18:25:58 GMT", "version": "v2" } ]

2009-10-28

[ [ "Ghoshal", "Debashis", "", "Mehta Research Inst" ], [ "Imbimbo", "Camillo", "", "CERN" ], [ "Mukhi", "Sunil", "", "Tata Inst" ] ]

We investigate Landau-Ginzburg string theory with the singular superpotential X^{-1} on arbitrary Riemann surfaces. This theory, which is a topological version of the c=1 string at the self-dual radius, is solved using results from intersection theory and from the analysis of matter Landau-Ginzburg systems, and consistency requirements. Higher-genus amplitudes decompose as a sum of contributions from the bulk and the boundary of moduli space. These amplitudes generate the W-infinity algebra.

11.830461

9.963731

13.966276

10.081132

10.548413

12.453091

11.559081

9.927035

10.47505

14.483823

9.977048

10.772385

13.657885

10.976482

11.330142

11.109572

10.45983

11.406142

10.99515

13.453546

10.428426

hep-th/0611029

Oktay Pashaev

Oktay K. Pashaev and Zeynep Nilhan Gurkan

Abelian Chern-Simons Vortices and Holomorphic Burgers' Hierarchy

15 pages, talk presented in Workshop `Nonlinear Physics IV: Theory and Experiment`, 22-30 June 2006, Gallipoli, Italy

Theor.Math.Phys.152:1017-1029,2007

10.1007/s11232-007-0086-0

null

hep-th cond-mat.mes-hall math-ph math.MP nlin.SI

null

The Abelian Chern-Simons Gauge Field Theory in 2+1 dimensions and its relation with holomorphic Burgers' Hierarchy is considered. It is shown that the relation between complex potential and the complex gauge field as in incompressible and irrotational hydrodynamics, has meaning of the analytic Cole-Hopf transformation, linearizing the Burgers Hierarchy in terms of the holomorphic Schr\"odinger Hierarchy. Then the motion of planar vortices in Chern-Simons theory, appearing as pole singularities of the gauge field, corresponds to motion of zeroes of the hierarchy. Using boost transformations of the complex Galilean group of the hierarchy, a rich set of exact solutions, describing integrable dynamics of planar vortices and vortex lattices in terms of the generalized Kampe de Feriet and Hermite polynomials is constructed. The results are applied to the holomorphic reduction of the Ishimori model and the corresponding hierarchy, describing dynamics of magnetic vortices and corresponding lattices in terms of complexified Calogero-Moser models. Corrections on two vortex dynamics from the Moyal space-time non-commutativity in terms of Airy functions are found.

[ { "created": "Thu, 2 Nov 2006 13:48:16 GMT", "version": "v1" } ]

2008-11-26

[ [ "Pashaev", "Oktay K.", "" ], [ "Gurkan", "Zeynep Nilhan", "" ] ]

The Abelian Chern-Simons Gauge Field Theory in 2+1 dimensions and its relation with holomorphic Burgers' Hierarchy is considered. It is shown that the relation between complex potential and the complex gauge field as in incompressible and irrotational hydrodynamics, has meaning of the analytic Cole-Hopf transformation, linearizing the Burgers Hierarchy in terms of the holomorphic Schr\"odinger Hierarchy. Then the motion of planar vortices in Chern-Simons theory, appearing as pole singularities of the gauge field, corresponds to motion of zeroes of the hierarchy. Using boost transformations of the complex Galilean group of the hierarchy, a rich set of exact solutions, describing integrable dynamics of planar vortices and vortex lattices in terms of the generalized Kampe de Feriet and Hermite polynomials is constructed. The results are applied to the holomorphic reduction of the Ishimori model and the corresponding hierarchy, describing dynamics of magnetic vortices and corresponding lattices in terms of complexified Calogero-Moser models. Corrections on two vortex dynamics from the Moyal space-time non-commutativity in terms of Airy functions are found.

10.507381

12.043694

11.746965

10.614829

10.959588

12.120348

10.837988

11.263031

11.497309

12.79841

11.447022

10.468106

10.44997

10.06091

10.037515

10.508601

10.155162

10.159739

10.036648

10.667476

10.016374

hep-th/0207190

Kentaroh Yoshida

Katsuyuki Sugiyama and Kentaroh Yoshida (Kyoto Univ.)

Giant Graviton and Quantum Stability in Matrix Model on PP-wave Background

21 pages, no figure, LaTeX

Phys.Rev. D66 (2002) 085022

10.1103/PhysRevD.66.085022

KUCP-0214

hep-th

null

We study classical solutions in Berenstein-Maldacena-Nastase (BMN) matrix model. A supersymmetric (1/2 BPS) fuzzy sphere is one of the classical solutions and corresponds to a giant graviton. We also consider other classical solutions, such as non-supersymmetric fuzzy sphere and harmonic oscillating gravitons. Some properties of oscillating gravitons are discussed. In particular, oscillating gravitons turn into usual supergravitons in the limit mu -> 0. Moreover, we calculate the one-loop effective action around the supersymmetric fuzzy sphere by the use of the background field method and show the quantum stability of the giant graviton. Also, the instability of the non-supersymmetric fuzzy sphere is proven.

[ { "created": "Mon, 22 Jul 2002 12:08:40 GMT", "version": "v1" } ]

2009-11-07

[ [ "Sugiyama", "Katsuyuki", "", "Kyoto Univ." ], [ "Yoshida", "Kentaroh", "", "Kyoto Univ." ] ]

We study classical solutions in Berenstein-Maldacena-Nastase (BMN) matrix model. A supersymmetric (1/2 BPS) fuzzy sphere is one of the classical solutions and corresponds to a giant graviton. We also consider other classical solutions, such as non-supersymmetric fuzzy sphere and harmonic oscillating gravitons. Some properties of oscillating gravitons are discussed. In particular, oscillating gravitons turn into usual supergravitons in the limit mu -> 0. Moreover, we calculate the one-loop effective action around the supersymmetric fuzzy sphere by the use of the background field method and show the quantum stability of the giant graviton. Also, the instability of the non-supersymmetric fuzzy sphere is proven.

7.294027

6.394425

7.492332

6.108586

6.14272

6.741882

6.10724

6.244486

6.168746

7.863606

6.161628

6.496906

6.793098

6.34128

6.235428

6.389568

6.312411

6.119004

6.334628

6.550894

6.155145

hep-th/0206248

Minxin Huang

Min-xin Huang

String Interactions in PP-wave from N = 4 Super Yang Mills

21 pages, 10 figures. V3: journal version, slight changes in abstract and introduction. V4: minor typos and correction

Phys.Rev. D66 (2002) 105002

10.1103/PhysRevD.66.105002

UPR-1004-T

hep-th

null

We consider non-planar contributions to the correlation functions of BMN operators in free N = 4 super Yang Mills theory. We recalculate these non-planar contributions from a different kind of diagram and find some exact agreements. The vertices of these diagrams are represented by free planar three point functions, thus our calculations provide some interesting identities for correlation functions of BMN operators in N = 4 super Yang Mills theory. These diagrams look very much like loop diagrams in a second quantized string field theory, thus these identities could possibly be interpreted as natural consequences of the pp-wave/CFT correspondence.

[ { "created": "Thu, 27 Jun 2002 17:31:25 GMT", "version": "v1" }, { "created": "Sat, 13 Jul 2002 22:19:42 GMT", "version": "v2" }, { "created": "Wed, 11 Sep 2002 23:13:40 GMT", "version": "v3" }, { "created": "Thu, 9 Jan 2003 02:22:43 GMT", "version": "v4" } ]

2009-11-07

[ [ "Huang", "Min-xin", "" ] ]

We consider non-planar contributions to the correlation functions of BMN operators in free N = 4 super Yang Mills theory. We recalculate these non-planar contributions from a different kind of diagram and find some exact agreements. The vertices of these diagrams are represented by free planar three point functions, thus our calculations provide some interesting identities for correlation functions of BMN operators in N = 4 super Yang Mills theory. These diagrams look very much like loop diagrams in a second quantized string field theory, thus these identities could possibly be interpreted as natural consequences of the pp-wave/CFT correspondence.

12.698576

11.378906

13.508353

10.404704

9.93443

10.744884

9.624965

10.525926

10.345019

14.627318

10.078009

11.6626

12.760474

11.301715

11.593438

11.823011

11.405458

11.178709

11.234383

12.522763

11.208498

hep-th/0604187

Leszek Hadasz

Leszek Hadasz and Zbigniew Jaskolski

Liouville theory and uniformization of four-punctured sphere

17 pages, no figures

J.Math.Phys.47:082304,2006

10.1063/1.2234272

BONN-TH-2006-004, IFT UWr 0104-006

hep-th

null

Few years ago Zamolodchikov and Zamolodchikov proposed an expression for the 4-point classical Liouville action in terms of the 3-point actions and the classical conformal block. In this paper we develop a method of calculating the uniformizing map and the uniformizing group from the classical Liouville action on n-punctured sphere and discuss the consequences of Zamolodchikovs conjecture for an explicit construction of the uniformizing map and the uniformizing group for the sphere with four punctures.

[ { "created": "Tue, 25 Apr 2006 12:52:54 GMT", "version": "v1" } ]

2015-06-26

[ [ "Hadasz", "Leszek", "" ], [ "Jaskolski", "Zbigniew", "" ] ]

Few years ago Zamolodchikov and Zamolodchikov proposed an expression for the 4-point classical Liouville action in terms of the 3-point actions and the classical conformal block. In this paper we develop a method of calculating the uniformizing map and the uniformizing group from the classical Liouville action on n-punctured sphere and discuss the consequences of Zamolodchikovs conjecture for an explicit construction of the uniformizing map and the uniformizing group for the sphere with four punctures.

6.013917

5.579929

6.653334

5.700016

5.696356

5.305387

5.795741

6.179108

5.605184

7.043328

6.202989

5.698443

6.352096

5.839185

5.582004

5.574486

5.853809

5.766759

6.043652

5.841023

6.146445

hep-th/9610116

Carlos Laciana

Carlos E. Laciana

Thermal and Dynamical Particle Creation in a Curved Geometry

13 pages

Annals Phys.264:95-107,1998

10.1006/aphy.1997.5779

null

hep-th

null

A generalization of ``Termo Field Dynamics'' to a curved geometry is proposed. In particular a neutral scalar field minimally coupled to gravity is considered as matter content in a Robertson-Walker metric. A non linear amplification in the particle creation is obtained, due to the altogether action of thermal and geometric effects. As a consequence the frequencies in the system look like red shifted with respect to the case where the thermal creation is not taken into account.

[ { "created": "Wed, 16 Oct 1996 10:55:00 GMT", "version": "v1" } ]

2014-11-18

[ [ "Laciana", "Carlos E.", "" ] ]

A generalization of ``Termo Field Dynamics'' to a curved geometry is proposed. In particular a neutral scalar field minimally coupled to gravity is considered as matter content in a Robertson-Walker metric. A non linear amplification in the particle creation is obtained, due to the altogether action of thermal and geometric effects. As a consequence the frequencies in the system look like red shifted with respect to the case where the thermal creation is not taken into account.

18.726135

16.155163

15.553584

14.692861

18.814081

15.750654

15.764822

15.710252

17.443558

16.30905

16.471548

15.144621

16.06633

14.561467

15.592487

15.453256

15.997223

14.545296

15.992647

15.283801

16.924246

hep-th/0506111

Fuad Saradzhev

Fuad M. Saradzhev

On spontaneous symmetry breaking in hot QCD

Talk at the conference "Fizika-2005" dedicated to the 60th anniversary of National Academy of Sciences of Azerbaijan; Institute of Physics, Baku, 7-9 June 2005; LATEX file, 1 eps-figure, 5 pp

Proceedings of "Fizika-2005", Baku, Elm, 2005, pp. 45-47

null

hep-th

null

We prove that nontrivial vacuum states which can arise in hot QCD are associated with the tachyonic regime of hadronic matter fluctuations. This allows us to improve the condition for such states to appear.

[ { "created": "Tue, 14 Jun 2005 06:08:17 GMT", "version": "v1" } ]

2007-05-23

[ [ "Saradzhev", "Fuad M.", "" ] ]

We prove that nontrivial vacuum states which can arise in hot QCD are associated with the tachyonic regime of hadronic matter fluctuations. This allows us to improve the condition for such states to appear.

25.30122

20.106625

20.720606

19.746489

20.107193

21.549997

17.917784

20.853764

17.589937

22.503279

21.461567

21.05267

22.131508

21.389168

21.393002

22.923807

21.130602

21.569521

19.322119

20.781378

21.168224

1908.04870

Stuart Dowker

J.S.Dowker

Note on the entanglement entropy of higher spins in four dimensions

3 pages

null

hep-th

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

The spherical entanglement entropy of higher--spin fields conjectured by Benedetti and Casini is shown to follow by extrapolation of already existing low spin expressions. The corresponding fermion formula is also exhibited.

[ { "created": "Tue, 13 Aug 2019 21:36:21 GMT", "version": "v1" } ]

2019-08-15

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

The spherical entanglement entropy of higher--spin fields conjectured by Benedetti and Casini is shown to follow by extrapolation of already existing low spin expressions. The corresponding fermion formula is also exhibited.

45.844387

28.30003

38.373131

28.013851

26.870678

22.454552

29.094002

26.182241

27.400301

47.989155

32.708881

29.955145

31.420197

28.694315

30.331734

30.889008

30.022291

30.343901

30.787802

35.319958

29.763935

2304.06752

Ioannis Matthaiakakis

Johanna Erdmenger, Bastian He{\ss}, Ioannis Matthaiakakis and Ren\'e Meyer

Gibbons-Hawking-York boundary terms and the generalized geometrical trinity of gravity

13 + 5 pages

null

hep-th gr-qc

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

General relativity (GR) as described in terms of curvature by the Einstein-Hilbert action is dynamically equivalent to theories of gravity formulated in terms of spacetime torsion or non-metricity. This forms what is called the geometrical trinity of gravity. The theories corresponding to this trinity are, apart from GR, the teleparallel (TEGR) and symmetric teleparallel (STEGR) equivalent theories of general relativity, respectively, and their actions are equivalent to GR up to boundary terms $B$. We investigate how the Gibbons-Hawking-York (GHY) boundary term of GR changes under the transition to TEGR and STEGR within the framework of metric-affine gravity. We show that $B$ is the difference between the GHY term of GR and that of metric-affine gravity. Moreover, we show that the GHY term for both TEGR and STEGR must vanish for consistency of the variational problem. Furthermore, our approach allows to extend the equivalence between GR, TEGR and STEGR beyond the Einstein-Hilbert action to any action built out of the curvature two-form, thus establishing the generalized geometrical trinity of gravity. We argue that these results will be particularly useful in view of studying gauge/gravity duality for theories with torsion and non-metricity.

[ { "created": "Thu, 13 Apr 2023 18:00:06 GMT", "version": "v1" } ]

2023-04-17

[ [ "Erdmenger", "Johanna", "" ], [ "Heß", "Bastian", "" ], [ "Matthaiakakis", "Ioannis", "" ], [ "Meyer", "René", "" ] ]

General relativity (GR) as described in terms of curvature by the Einstein-Hilbert action is dynamically equivalent to theories of gravity formulated in terms of spacetime torsion or non-metricity. This forms what is called the geometrical trinity of gravity. The theories corresponding to this trinity are, apart from GR, the teleparallel (TEGR) and symmetric teleparallel (STEGR) equivalent theories of general relativity, respectively, and their actions are equivalent to GR up to boundary terms $B$. We investigate how the Gibbons-Hawking-York (GHY) boundary term of GR changes under the transition to TEGR and STEGR within the framework of metric-affine gravity. We show that $B$ is the difference between the GHY term of GR and that of metric-affine gravity. Moreover, we show that the GHY term for both TEGR and STEGR must vanish for consistency of the variational problem. Furthermore, our approach allows to extend the equivalence between GR, TEGR and STEGR beyond the Einstein-Hilbert action to any action built out of the curvature two-form, thus establishing the generalized geometrical trinity of gravity. We argue that these results will be particularly useful in view of studying gauge/gravity duality for theories with torsion and non-metricity.

5.471451

6.398223

5.166946

5.241966

5.371349

5.743795

6.139405

5.232117

5.922777

5.809215

5.627791

5.606854

5.390455

5.44765

5.308324

5.525298

5.449081

5.513712

5.508047

5.347485

5.384003

2101.03320

Domenico Orlando

Simeon Hellerman, Domenico Orlando and Masataka Watanabe

Quantum Information Theory of the Gravitational Anomaly

60 pages, 6 figures

null

hep-th

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

We show that the standard notion of entanglement is not defined for gravitationally anomalous two-dimensional theories because they do not admit a local tensor factorization of the Hilbert space into local Hilbert spaces. Qualitatively, the modular flow cannot act consistently and unitarily in a finite region, if there are different numbers of states with a given energy traveling in the two opposite directions. We make this precise by decomposing it into two observations: First, a two-dimensional CFT admits a consistent quantization on a space with boundary only if it is not anomalous. Second, a local tensor factorization always leads to a definition of consistent, unitary, energy-preserving boundary condition. As a corollary we establish a generalization of the Nielsen-Ninomiya theorem to all two-dimensional unitary local QFTs: No continuum quantum field theory in two dimensions can admit a lattice regulator unless its gravitational anomaly vanishes. We also show that the conclusion can be generalized to six dimensions by dimensional reduction on a four-manifold of nonvanishing signature. We advocate that these points be used to reinterpret the gravitational anomaly quantum-information-theoretically, as a fundamental obstruction to the localization of quantum information.

[ { "created": "Sat, 9 Jan 2021 09:04:45 GMT", "version": "v1" } ]

2021-01-12

[ [ "Hellerman", "Simeon", "" ], [ "Orlando", "Domenico", "" ], [ "Watanabe", "Masataka", "" ] ]

We show that the standard notion of entanglement is not defined for gravitationally anomalous two-dimensional theories because they do not admit a local tensor factorization of the Hilbert space into local Hilbert spaces. Qualitatively, the modular flow cannot act consistently and unitarily in a finite region, if there are different numbers of states with a given energy traveling in the two opposite directions. We make this precise by decomposing it into two observations: First, a two-dimensional CFT admits a consistent quantization on a space with boundary only if it is not anomalous. Second, a local tensor factorization always leads to a definition of consistent, unitary, energy-preserving boundary condition. As a corollary we establish a generalization of the Nielsen-Ninomiya theorem to all two-dimensional unitary local QFTs: No continuum quantum field theory in two dimensions can admit a lattice regulator unless its gravitational anomaly vanishes. We also show that the conclusion can be generalized to six dimensions by dimensional reduction on a four-manifold of nonvanishing signature. We advocate that these points be used to reinterpret the gravitational anomaly quantum-information-theoretically, as a fundamental obstruction to the localization of quantum information.

10.967855

12.356799

12.498284

11.058731

11.850033

12.426988

11.693777

11.751445

11.269378

13.533258

11.067851

10.366426

11.365295

10.925399

10.991247

10.449621

10.538236

10.814631

10.742976

11.194719

10.702621

hep-th/0201179

Y. M. Cho

Y.M. Cho

Monopole Condensation in SU(2) QCD

15 pages, 1 figure. PRD in press

Phys.Rev. D65 (2002) 074027

null

hep-th

null

Based on the gauge independent decomposition of the non-Abelian gauge field into the dual potential and the valence potential, we calculate the one loop effective action of SU(2) QCD in an arbitrary constant monopole background, using the background field method. Our result provides a strong evidence for a dynamical symmetry breaking through the monopole condensation, which can induce the dual Meissner effect and establish the confinement of color, in the non-Abelian gauge theory. The result is obtained by separating the topological degrees which describe the non-Abelian monopoles from the dynamical degrees of the gauge potential, and integrating out all the dynamical degrees of QCD.

[ { "created": "Wed, 23 Jan 2002 10:22:39 GMT", "version": "v1" } ]

2007-05-23

[ [ "Cho", "Y. M.", "" ] ]

Based on the gauge independent decomposition of the non-Abelian gauge field into the dual potential and the valence potential, we calculate the one loop effective action of SU(2) QCD in an arbitrary constant monopole background, using the background field method. Our result provides a strong evidence for a dynamical symmetry breaking through the monopole condensation, which can induce the dual Meissner effect and establish the confinement of color, in the non-Abelian gauge theory. The result is obtained by separating the topological degrees which describe the non-Abelian monopoles from the dynamical degrees of the gauge potential, and integrating out all the dynamical degrees of QCD.

7.372037

5.702744

7.421932

6.045867

6.033247

5.542292

5.78581

6.181309

5.691823

7.636961

6.010572

6.308702

6.93718

6.448194

6.605565

6.112108

6.415591

6.333035

6.43797

7.070973

6.395708

hep-th/0102058

Kevin E. Cahill

Kevin Cahill

Supersymmetry without Grassmann Variables

8 pages, JHEP style

JHEP 0106:002,2001

10.1088/1126-6708/2001/06/002

null

hep-th

null

Supersymmetry transformations may be represented by unitary operators in a formulation of supersymmetry without numbers that anti-commute. The physical relevance of this formulation hinges on whether or not one may add states of even and odd fermion number, a question which soon may be settled by experiment.

[ { "created": "Mon, 12 Feb 2001 08:32:03 GMT", "version": "v1" } ]

2010-02-03

[ [ "Cahill", "Kevin", "" ] ]

Supersymmetry transformations may be represented by unitary operators in a formulation of supersymmetry without numbers that anti-commute. The physical relevance of this formulation hinges on whether or not one may add states of even and odd fermion number, a question which soon may be settled by experiment.

21.087135

19.564459

18.003878

19.919146

21.880276

19.030085

20.050911

20.232801

19.709858

22.972139

16.395178

17.700714

20.284208

18.446594

18.675547

17.981081

20.099344

17.981043

17.356234

20.601841

16.816845

hep-th/0106024

Sunil Mukhi

Sumit R. Das, Sunil Mukhi and Nemani V. Suryanarayana (Tata Institute, Mumbai)

Derivative Corrections from Noncommutativity

22 pages, harvmac (b), v3: typos corrected

JHEP 0108:039,2001

10.1088/1126-6708/2001/08/039

TIFR/TH/01-19

hep-th

null

We show that an infinite subset of the higher-derivative alpha' corrections to the DBI and Chern-Simons actions of ordinary commutative open-string theory can be determined using noncommutativity. Our predictions are compared to some lowest order alpha' corrections that have been computed explicitly by Wyllard (hep-th/0008125), and shown to agree.

[ { "created": "Mon, 4 Jun 2001 11:04:23 GMT", "version": "v1" }, { "created": "Thu, 7 Jun 2001 16:32:46 GMT", "version": "v2" }, { "created": "Wed, 27 Jun 2001 05:57:45 GMT", "version": "v3" } ]

2010-05-28

[ [ "Das", "Sumit R.", "", "Tata Institute,\n Mumbai" ], [ "Mukhi", "Sunil", "", "Tata Institute,\n Mumbai" ], [ "Suryanarayana", "Nemani V.", "", "Tata Institute,\n Mumbai" ] ]

We show that an infinite subset of the higher-derivative alpha' corrections to the DBI and Chern-Simons actions of ordinary commutative open-string theory can be determined using noncommutativity. Our predictions are compared to some lowest order alpha' corrections that have been computed explicitly by Wyllard (hep-th/0008125), and shown to agree.

13.485798

11.478319

16.363352

11.720954

13.508124

11.780782

10.467889

10.544747

11.127471

14.766736

10.829963

11.245345

12.810188

11.810058

10.844579

11.757638

11.507134

10.948047

11.464688

13.746376

10.880876

hep-th/0306066

Pedro J. Silva

Donald Marolf, Luca Martucci and Pedro J. Silva

Actions and Fermionic symmetries for D-branes in bosonic backgrounds

33 pages, typos corrected

JHEP 0307:019,2003

10.1088/1126-6708/2003/07/019

IFUM-760-FT

hep-th

null

In this article we derive the full interacting effective actions for supersymmetric D-branes in arbitrary bosonic type II supergravity backgrounds. The actions are presented in terms of component fields up to second order in fermions. As one expects, the actions are built from the supercovariant derivative operator and the $\kappa$-symmetry projector. The results take a compact and elegant form exhibiting $\kappa$-symmetry, as well as supersymmetry in a background with Killing spinors. We give the explicit transformation rules for these symmetries in all cases, including the M2-brane. As an example, we analyze the N=2 super-worldvolume field theory defined by a test D4-brane in the supergravity background produced by a large number of D0-branes. This example displays rigid supersymmetry in a curved spacetime.

[ { "created": "Mon, 9 Jun 2003 08:44:52 GMT", "version": "v1" }, { "created": "Thu, 28 Apr 2005 15:07:43 GMT", "version": "v2" } ]

2014-11-18

[ [ "Marolf", "Donald", "" ], [ "Martucci", "Luca", "" ], [ "Silva", "Pedro J.", "" ] ]

In this article we derive the full interacting effective actions for supersymmetric D-branes in arbitrary bosonic type II supergravity backgrounds. The actions are presented in terms of component fields up to second order in fermions. As one expects, the actions are built from the supercovariant derivative operator and the $\kappa$-symmetry projector. The results take a compact and elegant form exhibiting $\kappa$-symmetry, as well as supersymmetry in a background with Killing spinors. We give the explicit transformation rules for these symmetries in all cases, including the M2-brane. As an example, we analyze the N=2 super-worldvolume field theory defined by a test D4-brane in the supergravity background produced by a large number of D0-branes. This example displays rigid supersymmetry in a curved spacetime.

8.543407

8.239028

8.998522

8.012774

8.090152

7.720383

7.678535

7.834733

8.029813

11.084663

7.809376

7.9991

8.750823

8.113251

8.321031

8.115687

8.236318

8.373708

7.993775

8.847836

8.166925

1302.0015

Pavel Putrov

Abhijit Gadde, Sergei Gukov, Pavel Putrov

Walls, Lines, and Spectral Dualities in 3d Gauge Theories

54 pages, 19 figures. v2: misprints corrected, clarifications and references added

null

10.1007/JHEP05(2014)047

CALT 68-2905

hep-th

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

In this paper we analyze various half-BPS defects in a general three dimensional N=2 supersymmetric gauge theory T. They correspond to closed paths in SUSY parameter space and their tension is computed by evaluating period integrals along these paths. In addition to such defects, we also study wall defects that interpolate between T and its SL(2,Z) transform by coupling the 3d theory to a 4d theory with S-duality wall. We propose a novel spectral duality between 3d gauge theories and integrable systems. This duality complements a similar duality discovered by Nekrasov and Shatashvili. As another application, for 3d N=2 theories associated with knots and 3-manifolds we compute periods of (super) A-polynomial curves and relate the results with the spectrum of domain walls and line operators.

[ { "created": "Thu, 31 Jan 2013 21:03:17 GMT", "version": "v1" }, { "created": "Wed, 12 Feb 2014 18:04:46 GMT", "version": "v2" } ]

2015-06-12

[ [ "Gadde", "Abhijit", "" ], [ "Gukov", "Sergei", "" ], [ "Putrov", "Pavel", "" ] ]

In this paper we analyze various half-BPS defects in a general three dimensional N=2 supersymmetric gauge theory T. They correspond to closed paths in SUSY parameter space and their tension is computed by evaluating period integrals along these paths. In addition to such defects, we also study wall defects that interpolate between T and its SL(2,Z) transform by coupling the 3d theory to a 4d theory with S-duality wall. We propose a novel spectral duality between 3d gauge theories and integrable systems. This duality complements a similar duality discovered by Nekrasov and Shatashvili. As another application, for 3d N=2 theories associated with knots and 3-manifolds we compute periods of (super) A-polynomial curves and relate the results with the spectrum of domain walls and line operators.

9.568758

9.648864

11.627971

9.912519

10.057612

10.266041

10.362883

10.066208

8.95593

11.17334

9.396604

9.655977

10.334277

9.484325

9.889639

9.419175

9.055123

9.421785

9.550426

9.975637

9.286978

hep-th/0104226

Ishwaree Prasad Neupane

Ishwaree P. Neupane

Gravitational potential correction with Gauss-Bonnet interaction

10 pages, no figures, LaTex, with Addendum

Phys.Lett. B512 (2001) 137-145

10.1016/S0370-2693(01)00589-5

SNUTP-011-01

hep-th

null

A treatment of linearized gravity with the Einstein-Gauss-Bonnet interaction terms in $D\geq$ 5 is given in the Randall-Sundrum brane background. This Letter has outlined some interesting features of the brane world gravity and Newtonian potential correction with the GB interaction term. We find that the GB coupling $\alpha$ renormalizes the effective four-dimensional Newton constant on the brane, and also additionally contributes to the correction term of the Newtonian potential. Indeed, the GB term does not affect the massless graviton mode and the Einstein gravity on the brane, and quite interestingly, such term in $D\geq 5$ appears to give more information about the necessary boundary condition(s) to be satisfied by the zero mode wavefunction on the brane(s). small (and preferably positive) GB coupling $\alpha$.

[ { "created": "Thu, 26 Apr 2001 10:25:34 GMT", "version": "v1" }, { "created": "Thu, 24 May 2001 10:31:31 GMT", "version": "v2" }, { "created": "Wed, 14 Nov 2001 12:15:26 GMT", "version": "v3" } ]

2009-11-07

[ [ "Neupane", "Ishwaree P.", "" ] ]

A treatment of linearized gravity with the Einstein-Gauss-Bonnet interaction terms in $D\geq$ 5 is given in the Randall-Sundrum brane background. This Letter has outlined some interesting features of the brane world gravity and Newtonian potential correction with the GB interaction term. We find that the GB coupling $\alpha$ renormalizes the effective four-dimensional Newton constant on the brane, and also additionally contributes to the correction term of the Newtonian potential. Indeed, the GB term does not affect the massless graviton mode and the Einstein gravity on the brane, and quite interestingly, such term in $D\geq 5$ appears to give more information about the necessary boundary condition(s) to be satisfied by the zero mode wavefunction on the brane(s). small (and preferably positive) GB coupling $\alpha$.

11.824189

11.74959

11.606235

10.907955

10.994199

10.73133

10.732981

11.392685

10.814175

11.349068

10.806386

11.221955

11.454956

10.964485

11.077664

11.290718

11.081853

10.895939

11.056827

11.663486

10.929869

hep-th/0109065

Anton Ryzhov

Eric D'Hoker, Anton V. Ryzhov

Three-Point Functions of Quarter BPS Operators in N=4 SYM

44 pages, Latex, eps figures, uses epsfig.sty; references added

JHEP 0202 (2002) 047

10.1088/1126-6708/2002/02/047

UCLA/01/TEP/22

hep-th

null

In a recent paper hep-th/0109064, quarter-BPS chiral primaries were constructed in the fully interacting four dimensional N=4 Super-Yang-Mills theory with gauge group SU(N). These operators are annihilated by four supercharges, and at order g^2 have protected scaling dimension and normalization. Here, we compute three-point functions involving these quarter-BPS operators along with half-BPS operators. The combinatorics of the problem is rather involved, and we consider the following special cases: (1) correlators < half half BPS > of two half-BPS primaries with an arbitrary chiral primary; (2) certain classes of < half quarter quarter > and < quarter quarter quarter > three-point functions; (3) three-point functions involving the Delta < 8 operators found in hep-th/0109064; (4) < half quarter quarter> correlators with the special quarter-BPS operator made of single and double trace operators only. The analysis in cases (1)-(3) is valid for general N, while (4) is a large N approximation. Order g^2 corrections to all three-point functions considered in this paper are found to vanish. In the AdS/CFT correspondence, quarter-BPS chiral primaries are dual to threshold bound states of elementary supergravity excitations. We present a supergravity discussion of two- and three-point correlators involving these bound states.

[ { "created": "Fri, 7 Sep 2001 21:19:28 GMT", "version": "v1" }, { "created": "Wed, 17 Oct 2001 22:54:27 GMT", "version": "v2" } ]

2009-11-07

[ [ "D'Hoker", "Eric", "" ], [ "Ryzhov", "Anton V.", "" ] ]

In a recent paper hep-th/0109064, quarter-BPS chiral primaries were constructed in the fully interacting four dimensional N=4 Super-Yang-Mills theory with gauge group SU(N). These operators are annihilated by four supercharges, and at order g^2 have protected scaling dimension and normalization. Here, we compute three-point functions involving these quarter-BPS operators along with half-BPS operators. The combinatorics of the problem is rather involved, and we consider the following special cases: (1) correlators < half half BPS > of two half-BPS primaries with an arbitrary chiral primary; (2) certain classes of < half quarter quarter > and < quarter quarter quarter > three-point functions; (3) three-point functions involving the Delta < 8 operators found in hep-th/0109064; (4) < half quarter quarter> correlators with the special quarter-BPS operator made of single and double trace operators only. The analysis in cases (1)-(3) is valid for general N, while (4) is a large N approximation. Order g^2 corrections to all three-point functions considered in this paper are found to vanish. In the AdS/CFT correspondence, quarter-BPS chiral primaries are dual to threshold bound states of elementary supergravity excitations. We present a supergravity discussion of two- and three-point correlators involving these bound states.

7.63428

7.334632

8.230124

7.146413

7.919712

7.896421

7.788584

7.427565

6.946964

9.038916

7.204539

7.25846

7.498962

7.22276

7.167543

7.281155

7.272992

7.365366

7.222401

7.374573

7.281933

2006.02463

Enrique Alvarez

Enrique Alvarez, Jesus Anero and Raquel Santos-Garcia

Structural stability of spherical horizons

42 pages, references added

null

10.1088/1361-6382/ac25e5

null

hep-th gr-qc

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

This paper is concerned with the structural stability of spherical horizons. By this we mean stability with respect to variations of the second member of the corresponding differential equations, corresponding to the inclusion of the contribution of operators quadratic in curvature. This we do both in the usual second order approach (in which the independent variable is the spacetime metric) and in the first order one (where the independent variables are the spacetime metric and the connection field). In second order, it is claimed that the generic solution in the asymptotic regime (large radius) can be matched not only with the usual solutions with horizons (like Schwarzschild-de Sitter) but also with a more generic (in the sense that it depends on more arbitrary parameters) horizonless family of solutions. It is however remarkable that these horizonless solutions are absent in the {\em restricted} (that is, when the background connection is the metric one) first order approach.

[ { "created": "Wed, 3 Jun 2020 18:17:24 GMT", "version": "v1" }, { "created": "Tue, 16 Feb 2021 13:08:26 GMT", "version": "v2" }, { "created": "Fri, 21 May 2021 14:16:45 GMT", "version": "v3" }, { "created": "Mon, 19 Jul 2021 13:41:33 GMT", "version": "v4" } ]

2021-10-27

[ [ "Alvarez", "Enrique", "" ], [ "Anero", "Jesus", "" ], [ "Santos-Garcia", "Raquel", "" ] ]

This paper is concerned with the structural stability of spherical horizons. By this we mean stability with respect to variations of the second member of the corresponding differential equations, corresponding to the inclusion of the contribution of operators quadratic in curvature. This we do both in the usual second order approach (in which the independent variable is the spacetime metric) and in the first order one (where the independent variables are the spacetime metric and the connection field). In second order, it is claimed that the generic solution in the asymptotic regime (large radius) can be matched not only with the usual solutions with horizons (like Schwarzschild-de Sitter) but also with a more generic (in the sense that it depends on more arbitrary parameters) horizonless family of solutions. It is however remarkable that these horizonless solutions are absent in the {\em restricted} (that is, when the background connection is the metric one) first order approach.

10.781261

13.081197

11.577247

11.280241

12.818895

11.868895

11.602192

11.601919

11.426198

12.535139

10.638937

10.420939

10.768519

10.785394

10.709849

10.850655

11.039505

11.1326

10.471454

10.758589

10.275856

hep-th/0611223

Richard Holman

R. Holman (Carnegie Mellon University), L. Mersini-Houghton (UNC-Chapel Hill), Tomo Takahashi (Saga University)

Cosmological Avatars of the Landscape I: Bracketing the SUSY Breaking Scale

7 pages, 1 figure

Phys.Rev.D77:063510,2008

10.1103/PhysRevD.77.063510

null

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

null

We investigate the effects of quantum entanglement between our horizon patch and others due to the tracing out of long wavelength modes in the wavefunction of the Universe as defined on a particular model of the landscape. In this, the first of two papers devoted to this topic, we find that the SUSY breaking scale is bounded both above {\em and} below: $10^{-10} M_{\rm P}\leq M_{\rm SUSY}\leq 10^{-8} M_{\rm P}$ for $GUT$ scale inflation. The lower bound is at least five orders of magnitude larger than the expected value of this parameter and can be tested by LHC physics.

[ { "created": "Tue, 21 Nov 2006 16:34:53 GMT", "version": "v1" } ]

2008-11-26

[ [ "Holman", "R.", "", "Carnegie Mellon University" ], [ "Mersini-Houghton", "L.", "", "UNC-Chapel Hill" ], [ "Takahashi", "Tomo", "", "Saga University" ] ]

We investigate the effects of quantum entanglement between our horizon patch and others due to the tracing out of long wavelength modes in the wavefunction of the Universe as defined on a particular model of the landscape. In this, the first of two papers devoted to this topic, we find that the SUSY breaking scale is bounded both above {\em and} below: $10^{-10} M_{\rm P}\leq M_{\rm SUSY}\leq 10^{-8} M_{\rm P}$ for $GUT$ scale inflation. The lower bound is at least five orders of magnitude larger than the expected value of this parameter and can be tested by LHC physics.

10.055611

10.039457

9.725028

9.167218

10.087739

10.364066

9.97716

10.383149

9.965563

10.283682

9.499124

8.946563

9.408129

9.104319

9.146661

9.393958

9.037222

8.962649

9.128017

9.199568

9.171794

1209.1914

Yuko Urakawa

Takahiro Tanaka, Yuko Urakawa

Strong restriction on inflationary vacua from the local gauge invariance I: Local gauge invariance and infrared regularity

14 pages

null

10.1093/ptep/ptt057

null

hep-th astro-ph.CO gr-qc

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

The primordial perturbation is widely accepted to be generated through the vacuum fluctuation of the scalar field which drives inflation. It is, however, not completely clear what is the natural vacuum in the inflationary universe particularly in the presence of non-linear interactions. In this series of papers, we will address this issue, focusing on the condition required for the removal of the divergence from the infrared (IR) contribution to loop diagrams. We show that requesting the gauge invariance in the local observable universe guarantees the IR regularity of the loop corrections beginning with a simple initial state. In our previous works, the IR regularity condition was discussed using the slow roll expansion, which restricts the background evolution of the inflationary universe. We will show more generally that requesting the gauge invariance/the IR regularity leads to non-trivial constraints on the allowed quantum states.

[ { "created": "Mon, 10 Sep 2012 09:18:16 GMT", "version": "v1" }, { "created": "Sun, 13 Jan 2013 13:59:12 GMT", "version": "v2" } ]

2016-06-21

[ [ "Tanaka", "Takahiro", "" ], [ "Urakawa", "Yuko", "" ] ]

The primordial perturbation is widely accepted to be generated through the vacuum fluctuation of the scalar field which drives inflation. It is, however, not completely clear what is the natural vacuum in the inflationary universe particularly in the presence of non-linear interactions. In this series of papers, we will address this issue, focusing on the condition required for the removal of the divergence from the infrared (IR) contribution to loop diagrams. We show that requesting the gauge invariance in the local observable universe guarantees the IR regularity of the loop corrections beginning with a simple initial state. In our previous works, the IR regularity condition was discussed using the slow roll expansion, which restricts the background evolution of the inflationary universe. We will show more generally that requesting the gauge invariance/the IR regularity leads to non-trivial constraints on the allowed quantum states.

10.68751

10.263594

11.277884

10.250784

10.597475

10.48129

10.696429

10.462345

10.731942

12.180307

10.226112

10.63081

10.742023

10.351844

10.800189

10.605396

10.61094

10.406086

10.699699

10.913068

10.524043

1302.2119

Dimo Arnaudov

D. Arnaudov

Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3

11 pages, no figures, minor changes, references added

Phys.Rev.D87:126004,2013

10.1103/PhysRevD.87.126004

null

hep-th

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

In this paper we study the three-point correlation functions of two scalar operators with large conformal dimensions and the R-current or stress-energy tensor at strong coupling with the help of the AdS_4/CFT_3 correspondence. The scalar operators are dual to semiclassical strings in AdS_4 x CP^3, which are point-like in AdS. We establish thorough concordance between string theory results at large coupling constant and general predictions coming from Ward identities in the dual three-dimensional superconformal gauge theory.

[ { "created": "Fri, 8 Feb 2013 19:22:45 GMT", "version": "v1" }, { "created": "Sat, 6 Apr 2013 11:09:58 GMT", "version": "v2" } ]

2013-07-23

[ [ "Arnaudov", "D.", "" ] ]

In this paper we study the three-point correlation functions of two scalar operators with large conformal dimensions and the R-current or stress-energy tensor at strong coupling with the help of the AdS_4/CFT_3 correspondence. The scalar operators are dual to semiclassical strings in AdS_4 x CP^3, which are point-like in AdS. We establish thorough concordance between string theory results at large coupling constant and general predictions coming from Ward identities in the dual three-dimensional superconformal gauge theory.

9.585023

7.930256

12.620148

7.629393

7.912315

7.803013

8.121929

7.899697

8.207109

11.365794

7.904863

7.784251

9.834014

8.195338

8.755934

7.876511

8.429401

8.18341

8.021381

9.884291

8.013575

hep-th/0608131

Jin Young Kim

Stabilization of the Extra Dimensions in Brane Gas Cosmology with Bulk Flux

18 pages, 3 figures, improved with some clarification and comments, references added

Phys.Lett.B652:43-52,2007

10.1016/j.physletb.2007.06.062

null

hep-th

null

We consider the anisotropic evolution of spatial dimensions and the stabilization of internal dimensions in the framework of brane gas cosmology. We observe that the bulk RR field can give an effective potential which prevents the internal subvolume from collapsing. For a combination of $(D-3)$-brane gas wrapping the extra dimensions and 4-form RR flux in the unwrapped dimensions, it is possible that the wrapped subvolume has an oscillating solution around the minimum of the effective potential while the unwrapped subvolume expands monotonically. The flux gives a logarithmic bounce to the effective potential of the internal dimensions.

[ { "created": "Fri, 18 Aug 2006 06:19:54 GMT", "version": "v1" }, { "created": "Fri, 5 Jan 2007 07:20:06 GMT", "version": "v2" }, { "created": "Wed, 13 Jun 2007 02:14:39 GMT", "version": "v3" } ]

2008-11-26

[ [ "Kim", "Jin Young", "" ] ]

We consider the anisotropic evolution of spatial dimensions and the stabilization of internal dimensions in the framework of brane gas cosmology. We observe that the bulk RR field can give an effective potential which prevents the internal subvolume from collapsing. For a combination of $(D-3)$-brane gas wrapping the extra dimensions and 4-form RR flux in the unwrapped dimensions, it is possible that the wrapped subvolume has an oscillating solution around the minimum of the effective potential while the unwrapped subvolume expands monotonically. The flux gives a logarithmic bounce to the effective potential of the internal dimensions.

13.852965

13.406406

14.128537

11.629558

12.917581

12.939228

13.075197

11.945537

13.500554

13.856364

11.665021

11.993081

12.886911

11.652312

11.538227

12.041924

11.758429

12.631234

12.246953

12.332559

12.065001

1910.05127

Rafael I. Nepomechie

Completing the solution for the $OSp(1|2)$ spin chain

14 pages; v2: minor changes

null

10.1016/j.nuclphysb.2019.114887

UMTG-302

hep-th math-ph math.MP

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

The periodic $OSp(1|2)$ quantum spin chain has both a graded and a non-graded version. Naively, the Bethe ansatz solution for the non-graded version does not account for the complete spectrum of the transfer matrix, and we propose a simple mechanism for achieving completeness. In contrast, for the graded version, this issue does not arise. We also clarify the symmetries of both versions of the model, and we show how these symmetries are manifested in the degeneracies and multiplicities of the transfer-matrix spectrum. While the graded version has $OSp(1|2)$ symmetry, the non-graded version has only $SU(2)$ symmetry. Moreover, we obtain conditions for selecting the physical singular solutions of the Bethe equations. This analysis solves a lasting controversy over signs in the Bethe equations.

[ { "created": "Fri, 11 Oct 2019 12:35:30 GMT", "version": "v1" }, { "created": "Tue, 17 Dec 2019 20:32:53 GMT", "version": "v2" } ]

2020-01-29

[ [ "Nepomechie", "Rafael I.", "" ] ]

The periodic $OSp(1|2)$ quantum spin chain has both a graded and a non-graded version. Naively, the Bethe ansatz solution for the non-graded version does not account for the complete spectrum of the transfer matrix, and we propose a simple mechanism for achieving completeness. In contrast, for the graded version, this issue does not arise. We also clarify the symmetries of both versions of the model, and we show how these symmetries are manifested in the degeneracies and multiplicities of the transfer-matrix spectrum. While the graded version has $OSp(1|2)$ symmetry, the non-graded version has only $SU(2)$ symmetry. Moreover, we obtain conditions for selecting the physical singular solutions of the Bethe equations. This analysis solves a lasting controversy over signs in the Bethe equations.

7.847026

7.615027

8.558355

7.623384

7.785286

7.734767

7.530032

7.281168

7.418751

8.936259

7.467687

7.611826

8.382371

7.848347

7.670565

7.812767

7.833691

7.627462

7.53757

7.966868

7.594402

2405.02399

Tuna Demircik

Jes\'us Cruz Rojas, Tuna Demircik, Matti J\"arvinen

Modulated instabilities and the AdS$_2$ point in dense holographic matter

58 pages + 9 figures

null

hep-th

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

We investigate fluctuations of hot and dense QCD plasma by using the gauge/gravity duality. To this end, we carry out a comprehensive classification and analysis of quasinormal modes of charged black holes in the holographic V-QCD model. It turns out that the Chern-Simons term determined by the flavor anomalies of QCD is strong enough to drive a modulated instability. While such an instability is expected at high densities, we find that the unstable phase extends to surprisingly low densities and high temperatures, close to the region where data from lattice simulations is available. We also analyze the limit of small temperature which is controlled by a quantum critical AdS$_2$ point. We study in detail the signatures of the critical point in the quasinormal mode spectrum, focusing on the interplay between the hydrodynamic modes and other modes.

[ { "created": "Fri, 3 May 2024 18:00:02 GMT", "version": "v1" } ]

2024-05-07

[ [ "Rojas", "Jesús Cruz", "" ], [ "Demircik", "Tuna", "" ], [ "Järvinen", "Matti", "" ] ]

We investigate fluctuations of hot and dense QCD plasma by using the gauge/gravity duality. To this end, we carry out a comprehensive classification and analysis of quasinormal modes of charged black holes in the holographic V-QCD model. It turns out that the Chern-Simons term determined by the flavor anomalies of QCD is strong enough to drive a modulated instability. While such an instability is expected at high densities, we find that the unstable phase extends to surprisingly low densities and high temperatures, close to the region where data from lattice simulations is available. We also analyze the limit of small temperature which is controlled by a quantum critical AdS$_2$ point. We study in detail the signatures of the critical point in the quasinormal mode spectrum, focusing on the interplay between the hydrodynamic modes and other modes.

10.47211

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9.778918

8.64632

9.273579

10.439038

9.62754

9.39674

9.330966

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9.342678

9.629289

10.168403

9.55236

10.035762

9.759688

9.438933

9.808531

9.581872

9.889649

9.895369

0809.0544

Orcan Ogetbil

O. Ogetbil

Stable de Sitter Vacua in 4 Dimensional Supergravity Originating from 5 Dimensions

54 pages

Phys.Rev.D78:105001,2008

10.1103/PhysRevD.78.105001

null

hep-th

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

The five dimensional stable de Sitter ground states in N=2 supergravity obtained by gauging SO(1,1) symmetry of the real symmetric scalar manifold (in particular a generic Jordan family manifold of the vector multiplets) simultaneously with a subgroup R_s of the R-symmetry group descend to four dimensional de Sitter ground states under certain conditions. First, the holomorphic section in four dimensions has to be chosen carefully by using the symplectic freedom in four dimensions; and second, a group contraction is necessary to bring the potential into a desired form. Under these conditions, stable de Sitter vacua can be obtained in dimensionally reduced theories (from 5D to 4D) if the semi-direct product of SO(1,1) with R^(1,1) together with a simultaneous R_s is gauged. We review the stable de Sitter vacua in four dimensions found in earlier literature for N=2 Yang-Mills Einstein supergravity with SO(2,1) x R_s gauge group in a symplectic basis that comes naturally after dimensional reduction. Although this particular gauge group does not descend directly from five dimensions, we show that, its contraction does. Hence, two different theories overlap in certain limits. Examples of stable de Sitter vacua are given for the cases: (i) R_s=U(1)_R, (ii) R_s=SU(2)_R, (iii) N=2 Yang-Mills/Einstein Supergravity theory coupled to a universal hypermultiplet. We conclude with a discussion regarding the extension of our results to supergravity theories with more general homogeneous scalar manifolds.

[ { "created": "Wed, 3 Sep 2008 04:32:48 GMT", "version": "v1" } ]

2008-11-26

[ [ "Ogetbil", "O.", "" ] ]

The five dimensional stable de Sitter ground states in N=2 supergravity obtained by gauging SO(1,1) symmetry of the real symmetric scalar manifold (in particular a generic Jordan family manifold of the vector multiplets) simultaneously with a subgroup R_s of the R-symmetry group descend to four dimensional de Sitter ground states under certain conditions. First, the holomorphic section in four dimensions has to be chosen carefully by using the symplectic freedom in four dimensions; and second, a group contraction is necessary to bring the potential into a desired form. Under these conditions, stable de Sitter vacua can be obtained in dimensionally reduced theories (from 5D to 4D) if the semi-direct product of SO(1,1) with R^(1,1) together with a simultaneous R_s is gauged. We review the stable de Sitter vacua in four dimensions found in earlier literature for N=2 Yang-Mills Einstein supergravity with SO(2,1) x R_s gauge group in a symplectic basis that comes naturally after dimensional reduction. Although this particular gauge group does not descend directly from five dimensions, we show that, its contraction does. Hence, two different theories overlap in certain limits. Examples of stable de Sitter vacua are given for the cases: (i) R_s=U(1)_R, (ii) R_s=SU(2)_R, (iii) N=2 Yang-Mills/Einstein Supergravity theory coupled to a universal hypermultiplet. We conclude with a discussion regarding the extension of our results to supergravity theories with more general homogeneous scalar manifolds.

8.498914

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8.335562

8.593251

8.31334

0705.3161

Shinichi Deguchi

Atiyah-Singer Index Theorem in an SO(3) Yang-Mills-Higgs system and derivation of a charge quantization condition

18pages, no figures, minor corrections, published version

Prog.Theor.Phys.118:769-784,2007

10.1143/PTP.118.769

null

hep-th math-ph math.MP

null

The Atiyah-Singer index theorem is generalized to a two-dimensional SO(3) Yang-Mills-Higgs (YMH) system. The generalized theorem is proven by using the heat kernel method and a nonlinear realization of SU(2) gauge symmetry. This theorem is applied to the problem of deriving a charge quantization condition in the four-dimensional SO(3) YMH system with non-Abelian monopoles. The resulting quantization condition, eg=n (n: integer), for an electric charge e and a magnetic charge g is consistent with that found by Arafune, Freund and Goebel. It is shown that the integer n is half of the index of a Dirac operator.

[ { "created": "Tue, 22 May 2007 13:30:40 GMT", "version": "v1" }, { "created": "Fri, 9 Nov 2007 11:41:39 GMT", "version": "v2" } ]

2009-03-19

[ [ "Deguchi", "Shinichi", "" ] ]

The Atiyah-Singer index theorem is generalized to a two-dimensional SO(3) Yang-Mills-Higgs (YMH) system. The generalized theorem is proven by using the heat kernel method and a nonlinear realization of SU(2) gauge symmetry. This theorem is applied to the problem of deriving a charge quantization condition in the four-dimensional SO(3) YMH system with non-Abelian monopoles. The resulting quantization condition, eg=n (n: integer), for an electric charge e and a magnetic charge g is consistent with that found by Arafune, Freund and Goebel. It is shown that the integer n is half of the index of a Dirac operator.

6.74988

6.950282

6.9539

6.5175

7.396561

6.95385

6.429795

6.219362

6.891332

7.423631

6.790928

6.673859

6.873337

6.56807

6.188221

6.740066

6.678507

6.475204

6.485344

6.33002

6.104805

2407.04083

Andrea Bevilacqua

Cutkosky rules and 1-loop $\kappa$-deformed amplitudes

20 pages, 4 figures

null

hep-th hep-ph

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

In this paper we show that the Cutkosky cutting rules are still valid term by term in the expansion in powers of $\kappa$ of the $\kappa$-deformed 1-loop correction to the propagator. We first present a general argument which relates each term in the expansion to a non-deformed amplitude containing additional propagators with mass $M>\kappa$. We then show the same thing more pragmatically, by reducing the singularity structure of the coefficients in the expansion of the $\kappa$-deformed amplitude, to the singularity structure of non-deformed loop amplitudes, by using algebraic and analytic identities. We will explicitly show this up to second order in $1/\kappa$, but the technique can be generalized to higher orders in $1/\kappa$. Both the abstract and the more direct approach easily generalize to different deformed theories. We will then compute the full imaginary part of the $\kappa$-deformed 1-loop correction to the propagator in a specific model, up to second order in the expansion in $1/\kappa$, highlighting the usefulness of the approach for the phenomenology of deformed models. This explicitly confirms previous qualitative arguments concerning the behaviour of the decay width of unstable particles in the considered model.

[ { "created": "Thu, 4 Jul 2024 17:48:42 GMT", "version": "v1" } ]

2024-07-08

[ [ "Bevilacqua", "Andrea", "" ] ]

In this paper we show that the Cutkosky cutting rules are still valid term by term in the expansion in powers of $\kappa$ of the $\kappa$-deformed 1-loop correction to the propagator. We first present a general argument which relates each term in the expansion to a non-deformed amplitude containing additional propagators with mass $M>\kappa$. We then show the same thing more pragmatically, by reducing the singularity structure of the coefficients in the expansion of the $\kappa$-deformed amplitude, to the singularity structure of non-deformed loop amplitudes, by using algebraic and analytic identities. We will explicitly show this up to second order in $1/\kappa$, but the technique can be generalized to higher orders in $1/\kappa$. Both the abstract and the more direct approach easily generalize to different deformed theories. We will then compute the full imaginary part of the $\kappa$-deformed 1-loop correction to the propagator in a specific model, up to second order in the expansion in $1/\kappa$, highlighting the usefulness of the approach for the phenomenology of deformed models. This explicitly confirms previous qualitative arguments concerning the behaviour of the decay width of unstable particles in the considered model.

7.584894

7.378262

7.373394

7.178788

7.164972

7.915942

7.590252

7.496706

6.839307

7.493469

7.423496

7.271099

7.086179

7.069731

7.147367

7.045134

7.130913

7.06849

7.109826

7.04245

7.347985

1808.02040

Hans Jockers

Hans Jockers and Peter Mayr

A 3d Gauge Theory/Quantum K-Theory Correspondence

111 pages, v2: references added

null

BONN-TH-2018-12, LMU-ASC 47/18

hep-th math.AG

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

The 2d gauged linear sigma model (GLSM) gives a UV model for quantum cohomology on a Kahler manifold X, which is reproduced in the IR limit. We propose and explore a 3d lift of this correspondence, where the UV model is the N=2 supersymmetric 3d gauge theory and the IR limit is given by Givental's permutation equivariant quantum K-theory on X. This gives a one-parameter deformation of the 2d GLSM/quantum cohomology correspondence and recovers it in a small radius limit. We study some novelties of the 3d case regarding integral BPS invariants, chiral rings, deformation spaces and mirror symmetry.

[ { "created": "Mon, 6 Aug 2018 18:00:05 GMT", "version": "v1" }, { "created": "Thu, 27 Sep 2018 19:45:37 GMT", "version": "v2" } ]

2018-10-01

[ [ "Jockers", "Hans", "" ], [ "Mayr", "Peter", "" ] ]

The 2d gauged linear sigma model (GLSM) gives a UV model for quantum cohomology on a Kahler manifold X, which is reproduced in the IR limit. We propose and explore a 3d lift of this correspondence, where the UV model is the N=2 supersymmetric 3d gauge theory and the IR limit is given by Givental's permutation equivariant quantum K-theory on X. This gives a one-parameter deformation of the 2d GLSM/quantum cohomology correspondence and recovers it in a small radius limit. We study some novelties of the 3d case regarding integral BPS invariants, chiral rings, deformation spaces and mirror symmetry.

8.471088

6.802721

8.852626

6.975904

7.490935

7.349518

7.211387

6.535674

6.714649

9.344827

6.911798

7.076947

8.20594

7.09532

7.161518

6.921988

7.235283

7.301843

7.243642

7.763006

6.823615

0806.4255

Vincent Rivasseau

P. Bieliavsky, R. Gurau and V. Rivasseau

Non Commutative Field Theory on Rank One Symmetric Spaces

24 pages, no figures

J.Noncommut.Geom.3:99-123,2009

null

hep-th math-ph math.MP math.SG

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

Quantum field theory has been shown recently renormalizable on flat Moyal space and better behaved than on ordinary space-time. Some models at least should be completely finite, even beyond perturbation theory. In this paper a first step is taken to extend such theories to non-flat backgrounds such as solvable symmetric spaces.

[ { "created": "Thu, 26 Jun 2008 18:33:06 GMT", "version": "v1" } ]

2011-04-22

[ [ "Bieliavsky", "P.", "" ], [ "Gurau", "R.", "" ], [ "Rivasseau", "V.", "" ] ]

Quantum field theory has been shown recently renormalizable on flat Moyal space and better behaved than on ordinary space-time. Some models at least should be completely finite, even beyond perturbation theory. In this paper a first step is taken to extend such theories to non-flat backgrounds such as solvable symmetric spaces.

20.310839

21.838791

19.62056

17.409185

19.947041

17.80419

18.038313

20.418596

19.223356

22.456619

19.260805

19.15905

18.947033

18.604895

18.463606

18.911648

19.094908

18.007174

18.295588

19.344826

18.064014

2202.06957

Javier Magan

Vijay Balasubramanian, Pawel Caputa, Javier Magan and Qingyue Wu

Quantum chaos and the complexity of spread of states

23 pages, double column format. Added references and improved title

null

10.1103/PhysRevD.106.046007

null

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

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

We propose a measure of quantum state complexity defined by minimizing the spread of the wave-function over all choices of basis. Our measure is controlled by the "survival amplitude" for a state to remain unchanged, and can be efficiently computed in theories with discrete spectra. For continuous Hamiltonian evolution, it generalizes Krylov operator complexity to quantum states. We apply our methods to the harmonic and inverted oscillators, particles on group manifolds, the Schwarzian theory, the SYK model, and random matrix models. For time-evolved thermofield double states in chaotic systems our measure shows four regimes: a linear "ramp" up to a "peak" that is exponential in the entropy, followed by a "slope" down to a "plateau". These regimes arise in the same physics producing the slope-dip-ramp-plateau structure of the Spectral Form Factor. Specifically, the complexity slope arises from spectral rigidity, distinguishing different random matrix ensembles.

[ { "created": "Mon, 14 Feb 2022 19:00:00 GMT", "version": "v1" }, { "created": "Wed, 20 Apr 2022 16:47:36 GMT", "version": "v2" } ]

2022-09-14

[ [ "Balasubramanian", "Vijay", "" ], [ "Caputa", "Pawel", "" ], [ "Magan", "Javier", "" ], [ "Wu", "Qingyue", "" ] ]

We propose a measure of quantum state complexity defined by minimizing the spread of the wave-function over all choices of basis. Our measure is controlled by the "survival amplitude" for a state to remain unchanged, and can be efficiently computed in theories with discrete spectra. For continuous Hamiltonian evolution, it generalizes Krylov operator complexity to quantum states. We apply our methods to the harmonic and inverted oscillators, particles on group manifolds, the Schwarzian theory, the SYK model, and random matrix models. For time-evolved thermofield double states in chaotic systems our measure shows four regimes: a linear "ramp" up to a "peak" that is exponential in the entropy, followed by a "slope" down to a "plateau". These regimes arise in the same physics producing the slope-dip-ramp-plateau structure of the Spectral Form Factor. Specifically, the complexity slope arises from spectral rigidity, distinguishing different random matrix ensembles.

13.230135

12.506177

15.62641

12.382522

13.218206

12.458579

12.42293

11.533243

11.807937

16.380114

11.492324

12.511772

13.234946

12.483629

12.481297

12.205709

12.042416

12.168494

12.319974

13.308155

12.321178

1105.3707

Vidas Regelskis

Diego H. Correa, Vidas Regelskis and Charles A. S. Young

Integrable achiral D5-brane reflections and asymptotic Bethe equations

27 pages, 4 figures, v2: published version

J.Phys.A44:325403,2011

10.1088/1751-8113/44/32/325403

null

hep-th

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

We study the reflection of magnons from a D5-brane in the framework of the AdS/CFT correspondence. We consider two possible orientations of the D5-brane with respect to the reference vacuum state, namely vacuum states aligned along "vertical" and "horizontal" directions. We show that the reflections are of the achiral type. We also show that the reflection matrices satisfy the boundary Yang-Baxter equations for both orientations. In the horizontal case the reflection matrix can be interpreted in terms of a bulk S-matrix, S(p, -p), and factorizability of boundary scattering therefore follows from that of bulk scattering. Finally, we solve the nested coordinate Bethe ansatz for the system in the vertical case to find the Bethe equations. In the horizontal case, the Bethe equations are of the same form as those for the closed string.

[ { "created": "Wed, 18 May 2011 18:25:07 GMT", "version": "v1" }, { "created": "Thu, 21 Jul 2011 16:41:10 GMT", "version": "v2" } ]

2011-08-05

[ [ "Correa", "Diego H.", "" ], [ "Regelskis", "Vidas", "" ], [ "Young", "Charles A. S.", "" ] ]

We study the reflection of magnons from a D5-brane in the framework of the AdS/CFT correspondence. We consider two possible orientations of the D5-brane with respect to the reference vacuum state, namely vacuum states aligned along "vertical" and "horizontal" directions. We show that the reflections are of the achiral type. We also show that the reflection matrices satisfy the boundary Yang-Baxter equations for both orientations. In the horizontal case the reflection matrix can be interpreted in terms of a bulk S-matrix, S(p, -p), and factorizability of boundary scattering therefore follows from that of bulk scattering. Finally, we solve the nested coordinate Bethe ansatz for the system in the vertical case to find the Bethe equations. In the horizontal case, the Bethe equations are of the same form as those for the closed string.

7.544525

7.145512

9.06873

6.770692

7.541423

7.711055

7.415958

7.800894

7.123642

9.524168

7.113359

7.249905

8.12362

7.105575

7.227887

7.247425

7.215851

7.296257

7.341877

7.535447

7.040806

1601.06910

Fen Zuo

A note on electromagnetic edge modes

10 pages; corrected the statements on the trivial and magnetic center, added comments on the topological term

null

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

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

We give an intuitive identification for the electromagnetic edge modes as virtual spinon excitations in quantum spin liquids. Depending on the statistics, these edge modes could be effectively described by the $\beta \gamma$ or $bc$ conformal field theory. As an example, we show how such a description may reconcile the discrepancy on the logarithmic coefficient of the entanglement entropy on a sphere. Also we give some comments on the possibility of a topological term in the entanglement entropy.

[ { "created": "Tue, 26 Jan 2016 07:32:27 GMT", "version": "v1" }, { "created": "Tue, 22 Mar 2016 07:07:32 GMT", "version": "v2" } ]

2016-03-23

[ [ "Zuo", "Fen", "" ] ]

We give an intuitive identification for the electromagnetic edge modes as virtual spinon excitations in quantum spin liquids. Depending on the statistics, these edge modes could be effectively described by the $\beta \gamma$ or $bc$ conformal field theory. As an example, we show how such a description may reconcile the discrepancy on the logarithmic coefficient of the entanglement entropy on a sphere. Also we give some comments on the possibility of a topological term in the entanglement entropy.

15.08219

13.77442

14.272451

13.356923

13.416789

13.010243

12.538254

12.975809

12.543925

14.634417

13.440189

13.152765

13.961962

12.51985

13.986464

13.141808

13.005825

13.246096

13.773323

13.851178

13.212901

1004.4331

A. Tureanu

M. Chaichian, A. Tureanu and A. A. Zheltukhin

Massless Chiral Supermultiplets of Higher Spins and the $\theta$-Twistor

15 pages

Phys.Rev.D82:025010,2010

10.1103/PhysRevD.82.025010

HIP-2010-11/TH

hep-th

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

Recently N. Berkovits, motivated by the supertwistor description of ${\cal N}=4 D=4$ super Yang-Mills, considered the generalization of the ${\cal N}=1 D=4$ $\theta$-twistor construction to D=10 and applied it for a compact covariant description of ${\cal N}=1 D=10$ super Yang-Mills. This supports the relevance of the $\theta$-twistor as a supersymmetric twistor alternative to the well-known supertwistor. The minimal breaking of superconformal symmetry is an inherent property of the $\theta$-twistor received from its fermionic components, described by a Grassmannian vector instead of a Grassmannian scalar in the supertwistor. The $\theta$-twistor description of the ${\cal N}=1 D=4$ massless chiral supermultiplets $(S, S + 1/2)$ with spins $S=0,1/2,1,3/2,2,...$ is considered here. The description permits to restore the auxiliary $F$ fields of the chiral supermultiplets absent in the supertwistor approach. The proposed formalism is naturally generalized to ${\cal N}=4 D=4 $ and can be used for an off-shell description of the corresponding super Yang-Mills theory.

[ { "created": "Sun, 25 Apr 2010 07:05:37 GMT", "version": "v1" } ]

2014-11-20

[ [ "Chaichian", "M.", "" ], [ "Tureanu", "A.", "" ], [ "Zheltukhin", "A. A.", "" ] ]

Recently N. Berkovits, motivated by the supertwistor description of ${\cal N}=4 D=4$ super Yang-Mills, considered the generalization of the ${\cal N}=1 D=4$ $\theta$-twistor construction to D=10 and applied it for a compact covariant description of ${\cal N}=1 D=10$ super Yang-Mills. This supports the relevance of the $\theta$-twistor as a supersymmetric twistor alternative to the well-known supertwistor. The minimal breaking of superconformal symmetry is an inherent property of the $\theta$-twistor received from its fermionic components, described by a Grassmannian vector instead of a Grassmannian scalar in the supertwistor. The $\theta$-twistor description of the ${\cal N}=1 D=4$ massless chiral supermultiplets $(S, S + 1/2)$ with spins $S=0,1/2,1,3/2,2,...$ is considered here. The description permits to restore the auxiliary $F$ fields of the chiral supermultiplets absent in the supertwistor approach. The proposed formalism is naturally generalized to ${\cal N}=4 D=4 $ and can be used for an off-shell description of the corresponding super Yang-Mills theory.

6.513942

6.061608

7.144506

5.925375

6.49459

6.274527

6.6344

5.998261

6.243059

7.040291

6.103601

6.281797

6.460254

6.152765

6.137315

6.180063

6.184627

6.218484

6.19475

6.519529

6.243708

hep-th/0007122

Haru-Tada Sato

R. Kemmoku, H.T. Sato

Deformed fields and Moyal construction of deformed super Virasoro algebra

neutral fields are replaced by complex fields almost everywhere in Sects. 6 and 7

Nucl.Phys. B595 (2001) 689-709

10.1016/S0550-3213(00)00610-6

null

hep-th

null

Studied is the deformation of super Virasoro algebra proposed by Belov and Chaltikhian. Starting from abstract realizations in terms of the FFZ type generators, various connections of them to other realizations are shown, especially to deformed field representations, whose bosonic part generator is recently reported as a deformed string theory on a noncommutative world-sheet. The deformed Virasoro generators can also be expressed in terms of ordinary free fields in a highly nontrivial way.

[ { "created": "Sun, 16 Jul 2000 07:19:25 GMT", "version": "v1" }, { "created": "Wed, 13 Sep 2000 09:57:48 GMT", "version": "v2" } ]

2009-10-31

[ [ "Kemmoku", "R.", "" ], [ "Sato", "H. T.", "" ] ]

Studied is the deformation of super Virasoro algebra proposed by Belov and Chaltikhian. Starting from abstract realizations in terms of the FFZ type generators, various connections of them to other realizations are shown, especially to deformed field representations, whose bosonic part generator is recently reported as a deformed string theory on a noncommutative world-sheet. The deformed Virasoro generators can also be expressed in terms of ordinary free fields in a highly nontrivial way.

22.680742

17.745546

25.026085

17.662657

18.103767

16.107662

16.606939

17.053999

14.783701

28.726406

15.919359

17.777683

21.168114

16.774845

17.676853

17.437508

17.477001

17.703358

17.713688

21.372995

17.03919

1006.2176

Myron Bander

Quantum mechanics and field theory with momentum defined on an anti-de-Sitter space

10 pages, presented at a Conference in Honor of Murray Gell-Mann's 80th Birthday, 24-26 February, 2010, Nanyang Technical University, Sigapore

Int.J.Mod.Phys.A25:4889-4899,2010

10.1142/S0217751X10050810

null

hep-th

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

Relativistic dynamics with energy and momentum resricted to an anti-de-Sitter space is presented, specifically in the introduction of coordiate operators conjugate to such momenta. Definition of functions of these operators, their differentiation and integration, all necessary for the development of dynamics is presented. The resulting algebra differs from the standard Heisenberg one, notably in that the space-time coordinates do not commute among each other. The resulting time variable is discrete and the limit to continuous time presents difficulties. A parallel approach, in which an overlap function, between position and momentum states, is obtained from solutions of wave equations on this curved space are also investigated. This approach, likewise, has problems in the that high energy behavior of these overlap functions precludes a space-time definition of action functionals.

[ { "created": "Fri, 11 Jun 2010 00:17:36 GMT", "version": "v1" } ]

2011-03-28

[ [ "Bander", "Myron", "" ] ]

Relativistic dynamics with energy and momentum resricted to an anti-de-Sitter space is presented, specifically in the introduction of coordiate operators conjugate to such momenta. Definition of functions of these operators, their differentiation and integration, all necessary for the development of dynamics is presented. The resulting algebra differs from the standard Heisenberg one, notably in that the space-time coordinates do not commute among each other. The resulting time variable is discrete and the limit to continuous time presents difficulties. A parallel approach, in which an overlap function, between position and momentum states, is obtained from solutions of wave equations on this curved space are also investigated. This approach, likewise, has problems in the that high energy behavior of these overlap functions precludes a space-time definition of action functionals.

22.200447

21.56057

22.706589

20.697636

24.90103

23.143951

21.878872

22.370588

21.829317

24.497282

21.035675

20.251972

21.45536

20.997995

21.198786

21.679688

21.498383

21.280338

20.756546

20.742819

21.469923