LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2006.00299

Madad Ali Valuyan

M. A. Valuyan

Radiative Correction to the Casimir Energy for Lorentz-violating Scalar Field in d+1 Dimensions

18 pages, 9 figures, 1 table, accepted for publication in MPLA

null

10.1142/S0217732320501497

null

hep-th

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

The renormalization program in every renormalized theory should be run consistently with the type of boundary condition imposed on quantum fields. To maintain this consistency, the counterterms usually appear in the position-dependent form. In the present study, using such counterterms, we calculated the radiative correction to the Casimir energy for massive and massless Lorentz-violating scalar field constrained with Dirichlet boundary condition between two parallel plates in d spatial dimensions. In the calculation procedure, to remove infinities appearing in the vacuum energies, the box subtraction scheme supplemented by the cutoff regularization technique and analytic continuation technique were employed. Normally, in the box subtraction scheme, two similar configurations are defined and their vacuum energies are subtracted from each other in the appropriate limits. Our final results regarding all spatial dimensions were convergent and consistent with the expected physical basis. We further plotted the Casimir energy density for the time-like and space-like Lorentz-violating systems in a number of odd and even dimensions; multiple aspects of the obtained results were ultimately discussed.

[ { "created": "Sat, 30 May 2020 15:45:15 GMT", "version": "v1" } ]

2020-06-02

[ [ "Valuyan", "M. A.", "" ] ]

The renormalization program in every renormalized theory should be run consistently with the type of boundary condition imposed on quantum fields. To maintain this consistency, the counterterms usually appear in the position-dependent form. In the present study, using such counterterms, we calculated the radiative correction to the Casimir energy for massive and massless Lorentz-violating scalar field constrained with Dirichlet boundary condition between two parallel plates in d spatial dimensions. In the calculation procedure, to remove infinities appearing in the vacuum energies, the box subtraction scheme supplemented by the cutoff regularization technique and analytic continuation technique were employed. Normally, in the box subtraction scheme, two similar configurations are defined and their vacuum energies are subtracted from each other in the appropriate limits. Our final results regarding all spatial dimensions were convergent and consistent with the expected physical basis. We further plotted the Casimir energy density for the time-like and space-like Lorentz-violating systems in a number of odd and even dimensions; multiple aspects of the obtained results were ultimately discussed.

14.401816

12.752676

14.597597

13.660316

14.076969

13.03717

13.2652

12.712953

13.45434

15.72775

12.970922

13.6833

14.56401

13.906348

13.910854

13.616115

14.25749

13.947049

13.694518

14.802115

14.201353

1405.2046

Francisco A. Brito

M. A. Anacleto, F. A. Brito, E. Passos and W. P. Santos

The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle

9 pages, no figures; version to appear in PLB. arXiv admin note: substantial text overlap with arXiv:1210.7739

null

10.1016/j.physletb.2014.08.018

null

hep-th gr-qc

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

In this paper we investigate statistical entropy of a 3-dimensional rotating acoustic black hole based on generalized uncertainty principle. In our results we obtain an area entropy and a correction term associated with the noncommutative acoustic black hole when $\lambda$ introduced in the generalized uncertainty principle takes a specific value. However, in this method, it is not needed to introduce the ultraviolet cut-off and divergences are eliminated. Moreover, the small mass approximation is not necessary in the original brick-wall model.

[ { "created": "Thu, 8 May 2014 18:59:51 GMT", "version": "v1" }, { "created": "Fri, 8 Aug 2014 17:31:42 GMT", "version": "v2" } ]

2015-06-19

[ [ "Anacleto", "M. A.", "" ], [ "Brito", "F. A.", "" ], [ "Passos", "E.", "" ], [ "Santos", "W. P.", "" ] ]

In this paper we investigate statistical entropy of a 3-dimensional rotating acoustic black hole based on generalized uncertainty principle. In our results we obtain an area entropy and a correction term associated with the noncommutative acoustic black hole when $\lambda$ introduced in the generalized uncertainty principle takes a specific value. However, in this method, it is not needed to introduce the ultraviolet cut-off and divergences are eliminated. Moreover, the small mass approximation is not necessary in the original brick-wall model.

14.163864

11.222234

11.230513

11.855254

13.328906

12.512911

12.125253

12.181733

11.081888

13.753722

12.304995

11.451395

11.866713

11.338441

11.783291

11.909364

12.183107

11.283009

11.592042

12.231691

11.723466

hep-th/0304163

Masako Fujita

Masako Fujita and Hiroyuki Hata (Kyoto U.)

Time Dependent Solution in Cubic String Field Theory

22 pages, 12 figures, LaTeX2e, v3:minor corrections

JHEP 0305 (2003) 043

10.1088/1126-6708/2003/05/043

KUNS-1835

hep-th

null

We study time dependent solutions in cubic open string field theory which are expected to describe the configuration of the rolling tachyon. We consider the truncated system consisting of component fields of level zero and two, which are expanded in terms of cosh n x^0 modes. For studying the large time behavior of the solution we need to know the coefficients of all and, in particular, large n modes. We examine numerically the coefficients of the n-th mode, and find that it has the leading n-dependence of the form (-\beta)^n \lambda^{-n^2} multiplied by a peculiar subleading part with peaks at n=2^m=4,8,16,32,64,128,.... This behavior is also reproduced analytically by solving simplified equations of motion of the tachyon system.

[ { "created": "Fri, 18 Apr 2003 07:51:21 GMT", "version": "v1" }, { "created": "Fri, 23 May 2003 01:24:57 GMT", "version": "v2" }, { "created": "Fri, 30 May 2003 05:37:41 GMT", "version": "v3" } ]

2009-11-10

[ [ "Fujita", "Masako", "", "Kyoto U." ], [ "Hata", "Hiroyuki", "", "Kyoto U." ] ]

We study time dependent solutions in cubic open string field theory which are expected to describe the configuration of the rolling tachyon. We consider the truncated system consisting of component fields of level zero and two, which are expanded in terms of cosh n x^0 modes. For studying the large time behavior of the solution we need to know the coefficients of all and, in particular, large n modes. We examine numerically the coefficients of the n-th mode, and find that it has the leading n-dependence of the form (-\beta)^n \lambda^{-n^2} multiplied by a peculiar subleading part with peaks at n=2^m=4,8,16,32,64,128,.... This behavior is also reproduced analytically by solving simplified equations of motion of the tachyon system.

13.269761

14.057953

14.493781

11.88514

12.990404

13.307524

13.18292

13.879595

11.872791

15.336394

12.423093

11.90686

12.123993

11.947698

11.285548

11.808839

12.026566

12.059505

11.66209

12.250779

11.666909

hep-th/9504113

Ofer Aharony

O. Aharony, J. Sonnenschein and S. Yankielowicz

Flows and Duality Symmetries in N=1 Supersymmetric Gauge Theories

31 pages, uses harvmac.tex and tables.tex Minor changes - version accepted to Nucl. Phys. B

Nucl.Phys.B449:509-534,1995

10.1016/0550-3213(95)00332-M

TAUP-2246-95, CERN-TH/95-91

hep-th

null

We present more examples of dual N=1 SUSY gauge theories. This set of theories is connected by flows to both Seiberg's and Kutasov's dual theories. This provides a unifying picture of the various dual theories. We investigate the dual theories, their flat directions and mass perturbations.

[ { "created": "Sun, 23 Apr 1995 15:52:34 GMT", "version": "v1" }, { "created": "Tue, 4 Jul 1995 15:27:52 GMT", "version": "v2" } ]

2009-09-29

[ [ "Aharony", "O.", "" ], [ "Sonnenschein", "J.", "" ], [ "Yankielowicz", "S.", "" ] ]

We present more examples of dual N=1 SUSY gauge theories. This set of theories is connected by flows to both Seiberg's and Kutasov's dual theories. This provides a unifying picture of the various dual theories. We investigate the dual theories, their flat directions and mass perturbations.

14.304699

12.02267

14.284083

11.911529

12.715327

11.383166

10.633756

10.795979

11.25443

14.235405

11.338768

12.09576

13.444808

12.526428

12.619618

12.220856

11.689

12.418589

12.395855

13.541899

11.789926

1807.07950

Keshav Dasgupta

Alina Czajka, Keshav Dasgupta, Charles Gale, Sangyong Jeon, Aalok Misra, Michael Richard, Karunava Sil

On Bulk Viscosity at Weak and Strong 't Hooft Couplings

18 pages, 3 figures, Companion paper

null

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

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

Bulk viscosity is an important transport coefficient that exists in the hydrodynamical limit only when the underlying theory is non-conformal. One example being thermal QCD with large number of colors. We study bulk viscosity in such a theory at low energies and at weak and strong 't Hooft couplings when the temperature is above the deconfinement temperature. The weak coupling analysis is based on Boltzmann equation from kinetic theory whereas the strong coupling analysis uses non-conformal holographic techniques from string and M-theories. Using these, many properties associated with bulk viscosity may be explicitly derived. This is a shortened companion paper that summarizes some of the results of our longer paper arXiv:1807.04713.

[ { "created": "Fri, 20 Jul 2018 17:44:18 GMT", "version": "v1" } ]

2018-07-23

[ [ "Czajka", "Alina", "" ], [ "Dasgupta", "Keshav", "" ], [ "Gale", "Charles", "" ], [ "Jeon", "Sangyong", "" ], [ "Misra", "Aalok", "" ], [ "Richard", "Michael", "" ], [ "Sil", "Karunava", "" ] ]

Bulk viscosity is an important transport coefficient that exists in the hydrodynamical limit only when the underlying theory is non-conformal. One example being thermal QCD with large number of colors. We study bulk viscosity in such a theory at low energies and at weak and strong 't Hooft couplings when the temperature is above the deconfinement temperature. The weak coupling analysis is based on Boltzmann equation from kinetic theory whereas the strong coupling analysis uses non-conformal holographic techniques from string and M-theories. Using these, many properties associated with bulk viscosity may be explicitly derived. This is a shortened companion paper that summarizes some of the results of our longer paper arXiv:1807.04713.

9.874285

9.352479

9.978807

9.290129

9.677479

9.136475

9.264855

8.853943

8.863982

10.39398

9.145474

9.057591

9.772591

9.417207

9.54999

9.19508

9.546642

9.27803

9.237915

9.818641

9.08312

1011.6109

K.B. Alkalaev

FV-type action for AdS(5) mixed-symmetry fields

48 pages; v2: typos corrected, comments and references added

JHEP 1103:031,2011

10.1007/JHEP03(2011)031

FIAN-TD-2010-09

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

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

We formulate Fradkin-Vasiliev type theory of massless higher spin fields in AdS(5). The corresponding action functional describes cubic order approximation to gravitational interactions of bosonic mixed-symmetry fields of a particular "hook" symmetry type and totally symmetric bosonic and fermionic fields.

[ { "created": "Mon, 29 Nov 2010 00:11:59 GMT", "version": "v1" }, { "created": "Mon, 24 Jan 2011 13:03:57 GMT", "version": "v2" } ]

2011-03-18

[ [ "Alkalaev", "K. B.", "" ] ]

We formulate Fradkin-Vasiliev type theory of massless higher spin fields in AdS(5). The corresponding action functional describes cubic order approximation to gravitational interactions of bosonic mixed-symmetry fields of a particular "hook" symmetry type and totally symmetric bosonic and fermionic fields.

19.66785

14.389255

23.553717

14.564798

19.021357

15.425111

17.148478

12.443528

14.337538

26.605963

13.474556

14.197677

19.871014

14.506295

15.339092

14.646449

13.74073

15.453186

14.664552

19.952097

13.539086

1703.00278

Simon Caron-Huot

Analyticity in Spin in Conformal Theories

33+12 pages, 6 figures. Typos fixed, published version

null

10.1007/JHEP09(2017)078

null

hep-th

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

Conformal theory correlators are characterized by the spectrum and three- point functions of local operators. We present a formula which extracts this data as an analytic function of spin. In analogy with a classic formula due to Froissart and Gribov, it is sensitive only to an "imaginary part" which appears after analytic continuation to Lorentzian signature, and it converges thanks to recent bounds on the high-energy Regge limit. At large spin, substituting in cross-channel data, the formula yields 1/J expansions with controlled errors. In large-N theories, the imaginary part is saturated by single-trace operators. For a sparse spectrum, it manifests the suppression of bulk higher-derivative interactions that constitutes the signature of a local gravity dual in Anti-de-Sitter space.

[ { "created": "Wed, 1 Mar 2017 13:06:18 GMT", "version": "v1" }, { "created": "Sat, 3 Mar 2018 22:37:26 GMT", "version": "v2" } ]

2018-03-06

[ [ "Caron-Huot", "Simon", "" ] ]

Conformal theory correlators are characterized by the spectrum and three- point functions of local operators. We present a formula which extracts this data as an analytic function of spin. In analogy with a classic formula due to Froissart and Gribov, it is sensitive only to an "imaginary part" which appears after analytic continuation to Lorentzian signature, and it converges thanks to recent bounds on the high-energy Regge limit. At large spin, substituting in cross-channel data, the formula yields 1/J expansions with controlled errors. In large-N theories, the imaginary part is saturated by single-trace operators. For a sparse spectrum, it manifests the suppression of bulk higher-derivative interactions that constitutes the signature of a local gravity dual in Anti-de-Sitter space.

16.405195

18.467321

19.274729

15.274096

16.243723

16.458939

16.039427

16.034157

15.187389

20.355738

14.719627

15.179255

16.146765

15.609523

15.410966

15.353226

14.971375

15.544238

14.98875

16.381729

14.945904

hep-th/0302225

Santiago Esteban Perez Bergliaffa

M. Novello, S. E. Perez Bergliaffa, and R. P. Neves

Causality and charged spin-2 fields in an electromagnetic background

6 pages, RevTex4, minor changes following hep-th/0304050 and gr-qc/0304041, conclusions unchanged

null

hep-th

null

We show that, contrary to common belief, the propagation of a spin-2 field in an electromagnetic background is {\em causal}. The proof will be given in the Fierz formalism which, as we shall see, is free of the ambiguity present in the more usual Einstein representation. We shall also review the proof in this latter representation.

[ { "created": "Fri, 28 Feb 2003 14:07:56 GMT", "version": "v1" }, { "created": "Mon, 14 Apr 2003 17:25:35 GMT", "version": "v2" } ]

2007-05-23

[ [ "Novello", "M.", "" ], [ "Bergliaffa", "S. E. Perez", "" ], [ "Neves", "R. P.", "" ] ]

We show that, contrary to common belief, the propagation of a spin-2 field in an electromagnetic background is {\em causal}. The proof will be given in the Fierz formalism which, as we shall see, is free of the ambiguity present in the more usual Einstein representation. We shall also review the proof in this latter representation.

14.087852

12.931925

9.82229

10.22047

10.379375

11.415241

12.088297

11.387064

10.453085

11.665564

11.857366

12.283806

11.096108

11.049424

12.049294

11.700206

12.033599

11.27582

11.72412

10.793802

11.431796

1202.2458

Sumit Das

Sumit R. Das and K. Sengupta

Non-equilibrium Dynamics of O(N) Nonlinear Sigma models: a Large-N approach

22 pages, 9 figures. Typos corrected, references rearranged and added.v3 : sections rearranged, abstract modified, comment about Kibble-Zurek scaling corrected

null

10.1007/JHEP09(2012)072

UK-12-02

hep-th cond-mat.other

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

We study the time evolution of the mass gap of the O(N) non-linear sigma model in 2+1 dimensions due to a time-dependent coupling in the large-$N$ limit. Using the Schwinger-Keldysh approach, we derive a set of equations at large $N$ which determine the time dependent gap in terms of the coupling. These equations lead to a criterion for the breakdown of adiabaticity for slow variation of the coupling leading to a Kibble-Zurek scaling law. We describe a self-consistent numerical procedure to solve these large-$N$ equations and provide explicit numerical solutions for a coupling which starts deep in the gapped phase at early times and approaches the zero temperature equilibrium critical point $g_c$ in a linear fashion. We demonstrate that for such a protocol there is a value of the coupling $g= g_c^{\rm dyn}> g_c$ where the gap function vanishes, possibly indicating a dynamical instability. We study the dependence of $g_c^{\rm dyn}$ on both the rate of change of the coupling and the initial temperature. We also verify, by studying the evolution of the mass gap subsequent to a sudden change in $g$, that the model does not display thermalization within a finite time interval $t_0$ and discuss the implications of this observation for its conjectured gravitational dual as a higher spin theory in $AdS_4$.

[ { "created": "Sat, 11 Feb 2012 18:30:29 GMT", "version": "v1" }, { "created": "Mon, 27 Feb 2012 20:07:03 GMT", "version": "v2" }, { "created": "Wed, 15 Aug 2012 17:34:32 GMT", "version": "v3" } ]

2015-06-04

[ [ "Das", "Sumit R.", "" ], [ "Sengupta", "K.", "" ] ]

We study the time evolution of the mass gap of the O(N) non-linear sigma model in 2+1 dimensions due to a time-dependent coupling in the large-$N$ limit. Using the Schwinger-Keldysh approach, we derive a set of equations at large $N$ which determine the time dependent gap in terms of the coupling. These equations lead to a criterion for the breakdown of adiabaticity for slow variation of the coupling leading to a Kibble-Zurek scaling law. We describe a self-consistent numerical procedure to solve these large-$N$ equations and provide explicit numerical solutions for a coupling which starts deep in the gapped phase at early times and approaches the zero temperature equilibrium critical point $g_c$ in a linear fashion. We demonstrate that for such a protocol there is a value of the coupling $g= g_c^{\rm dyn}> g_c$ where the gap function vanishes, possibly indicating a dynamical instability. We study the dependence of $g_c^{\rm dyn}$ on both the rate of change of the coupling and the initial temperature. We also verify, by studying the evolution of the mass gap subsequent to a sudden change in $g$, that the model does not display thermalization within a finite time interval $t_0$ and discuss the implications of this observation for its conjectured gravitational dual as a higher spin theory in $AdS_4$.

6.467838

6.63926

7.016782

6.551882

6.801669

6.883314

6.941602

6.625096

6.671122

7.148083

6.355172

6.195279

6.41994

6.251812

6.426005

6.363007

6.261314

6.250442

6.279737

6.404072

6.32992

1403.7567

Pierre Martinetti

Agostino Devastato, Fedele Lizzi, Pierre Martinetti

Higgs mass in Noncommutative Geometry

Proceedings of the Corfou Workshop on noncommutative field theory and gravity, september 2013

Fortschritte der Physik 2014

10.1002/prop.201400013

null

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

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

In the noncommutative geometry approach to the standard model, an extra scalar field - initially suggested by particle physicist to stabilize the electroweak vacuum - makes the computation of the Higgs mass compatible with the 126 GeV experimental value. We give a brief account on how to generate this field from the Majorana mass of the neutrino, following the principles of noncommutative geometry.

[ { "created": "Fri, 28 Mar 2014 23:17:45 GMT", "version": "v1" }, { "created": "Wed, 2 Apr 2014 23:02:32 GMT", "version": "v2" } ]

2016-01-20

[ [ "Devastato", "Agostino", "" ], [ "Lizzi", "Fedele", "" ], [ "Martinetti", "Pierre", "" ] ]

In the noncommutative geometry approach to the standard model, an extra scalar field - initially suggested by particle physicist to stabilize the electroweak vacuum - makes the computation of the Higgs mass compatible with the 126 GeV experimental value. We give a brief account on how to generate this field from the Majorana mass of the neutrino, following the principles of noncommutative geometry.

9.889321

8.181717

10.396708

8.654436

8.364639

6.936805

8.177896

8.993885

8.640818

9.871543

8.087822

8.718045

9.483928

8.594272

8.751415

8.379397

8.699739

8.778419

9.098236

9.135983

8.464181

hep-th/9707247

null

Soonkeon Nam, Kyungho Oh, Sang-Jin Sin

Superpotentials of N=1 Supersymmetric Gauge Theories from M-theory

15pages, latex, typos corrected, a line regarding M\"obius transformation in page 4 and angle dependence in page 12 corrected

Phys.Lett.B416:319-326,1998

10.1016/S0370-2693(97)01250-1

SNUTP/97-106

hep-th

null

We consider brane configurations in M-theory describing N=1 supersymmetric gauge theories and using the parametric representation of the brane configurations, we calculate the superpotentials for various cases including multiple gauge groups or fermions. For SU(n) N=1 SQCD with $N_f$ fermion case ($N_f < N_c)$, we find that the superpotential from M-theory and the gauge theory agree precisely. This gives a direct evidence of the validity of Witten's M-theory method for calculating the super potential.

[ { "created": "Wed, 30 Jul 1997 14:24:05 GMT", "version": "v1" }, { "created": "Sun, 31 Aug 1997 07:31:29 GMT", "version": "v2" } ]

2010-02-05

[ [ "Nam", "Soonkeon", "" ], [ "Oh", "Kyungho", "" ], [ "Sin", "Sang-Jin", "" ] ]

We consider brane configurations in M-theory describing N=1 supersymmetric gauge theories and using the parametric representation of the brane configurations, we calculate the superpotentials for various cases including multiple gauge groups or fermions. For SU(n) N=1 SQCD with $N_f$ fermion case ($N_f < N_c)$, we find that the superpotential from M-theory and the gauge theory agree precisely. This gives a direct evidence of the validity of Witten's M-theory method for calculating the super potential.

10.772995

10.334556

11.385118

10.165644

10.133847

10.003921

11.287512

10.099144

10.251564

12.99239

10.060387

10.590956

11.043712

10.594625

10.704119

10.807344

10.271714

10.634656

10.798326

10.882415

10.012707

1711.00450

Volodymyr Gorkavenko

Yurii A. Sitenko, Volodymyr M. Gorkavenko

Non-Euclidean geometry, nontrivial topology and quantum vacuum effects

13 pages, minor changes, misprints eliminated

Universe 2018, 4, 23

10.3390/universe4020023

null

hep-th cond-mat.mtrl-sci cond-mat.str-el math-ph math.MP

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

Space out of a topological defect of the Abrikosov-Nielsen-Olesen vortex type is locally flat but non-Euclidean. If a spinor field is quantized in such a space, then a variety of quantum effects is induced in the vacuum. Basing on the continuum model for long-wavelength electronic excitations, originating in the tight-binding approximation for the nearest neighbor interaction of atoms in the crystal lattice, we consider quantum ground state effects in monolayer structures warped into nanocones by a disclination; the nonzero size of the disclination is taken into account, and a boundary condition at the edge of the disclination is chosen to ensure self-adjointness of the Dirac-Weyl Hamiltonian operator. In the case of carbon nanocones, we find circumstances when the quantum ground state effects are independent of the boundary parameter and the disclination size.

[ { "created": "Wed, 1 Nov 2017 17:31:06 GMT", "version": "v1" }, { "created": "Sat, 27 Jan 2018 17:14:36 GMT", "version": "v2" }, { "created": "Mon, 23 Apr 2018 08:46:04 GMT", "version": "v3" }, { "created": "Thu, 24 May 2018 12:39:44 GMT", "version": "v4" } ]

2018-05-25

[ [ "Sitenko", "Yurii A.", "" ], [ "Gorkavenko", "Volodymyr M.", "" ] ]

Space out of a topological defect of the Abrikosov-Nielsen-Olesen vortex type is locally flat but non-Euclidean. If a spinor field is quantized in such a space, then a variety of quantum effects is induced in the vacuum. Basing on the continuum model for long-wavelength electronic excitations, originating in the tight-binding approximation for the nearest neighbor interaction of atoms in the crystal lattice, we consider quantum ground state effects in monolayer structures warped into nanocones by a disclination; the nonzero size of the disclination is taken into account, and a boundary condition at the edge of the disclination is chosen to ensure self-adjointness of the Dirac-Weyl Hamiltonian operator. In the case of carbon nanocones, we find circumstances when the quantum ground state effects are independent of the boundary parameter and the disclination size.

10.555457

11.072811

10.347942

10.353693

11.332833

11.199031

11.275476

11.13122

10.622337

11.627863

10.465206

10.390249

10.410036

10.167959

10.686232

10.239719

10.279154

10.600537

10.106813

10.250516

10.024549

1612.00042

Andrzej Rostworowski

Comment on "AdS nonlinear instability: moving beyond spherical symmetry" [Class. Quantum Grav. 33 23LT01 (2016)]

1 page, v2: missing $\theta$ dependence in eqs. (3,4) added

Class. Quantum Grav. 34 (2017) 128001

10.1088/1361-6382/aa71cc

null

hep-th gr-qc

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

We argue that if the degeneracy of the spectrum of linear perturbations of AdS is properly taken into account, there are globally regular, time-periodic, asymptotically AdS solutions (geons) bifurcating from each linear eigenfrequency of AdS.

[ { "created": "Wed, 30 Nov 2016 21:35:16 GMT", "version": "v1" }, { "created": "Thu, 30 Mar 2017 10:32:21 GMT", "version": "v2" } ]

2017-06-02

[ [ "Rostworowski", "Andrzej", "" ] ]

We argue that if the degeneracy of the spectrum of linear perturbations of AdS is properly taken into account, there are globally regular, time-periodic, asymptotically AdS solutions (geons) bifurcating from each linear eigenfrequency of AdS.

10.181476

8.69056

9.101711

8.075055

9.387089

9.008864

8.704425

8.326019

9.288634

9.742275

9.342958

8.834184

9.025414

8.54942

8.980127

8.53895

8.611447

8.801

9.304763

9.363882

8.651865

1104.5397

James Allen

James P Allen and Douglas J Smith

Coupling M2-branes to background fields

20 pages, no figures

JHEP 1108:078,2011

10.1007/JHEP08(2011)078

null

hep-th

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

We discuss some of the issues arising in trying to extend the ABJM action to include couplings to background fields. This is analogous to the Myers-Chern-Simons terms of the multiple Dp-brane action. We review and extend previous results to include terms which are quadratic in the background fields. These are fixed by requiring that we recover the correct Myers-type terms upon using the novel Higgs mechanism to reduce to the multiple D2-brane action.

[ { "created": "Thu, 28 Apr 2011 14:08:12 GMT", "version": "v1" } ]

2011-08-25

[ [ "Allen", "James P", "" ], [ "Smith", "Douglas J", "" ] ]

We discuss some of the issues arising in trying to extend the ABJM action to include couplings to background fields. This is analogous to the Myers-Chern-Simons terms of the multiple Dp-brane action. We review and extend previous results to include terms which are quadratic in the background fields. These are fixed by requiring that we recover the correct Myers-type terms upon using the novel Higgs mechanism to reduce to the multiple D2-brane action.

11.505365

10.15555

12.283574

9.881614

11.796209

10.008911

10.143526

10.909827

9.573802

13.323124

10.076886

10.006201

10.768099

9.921723

10.080795

9.986364

9.82012

9.913324

9.852302

10.934756

10.182627

hep-th/9402156

null

Makoto Natsuume and Joseph Polchinski

Gravitational Scattering in the c = 1 Matrix Model

20 pages + 2 figures (included as a uufile), LaTeX

Nucl.Phys.B424:137-154,1994

10.1016/0550-3213(94)90092-2

NSF-ITP-94-19

hep-th

null

The $c=1$ matrix model is equivalent to $1+1$ dimensional string theory. However, the tachyon self-interaction in the former is local, while in the latter it is nonlocal due to the gravitational, dilaton and higher string fields. By studying scattering of classical pulses we show that the appropriate nonlocal field redefinition converts the local matrix model interaction into the expected string form. In particular, we see how the asymptotic behavior of the gravitational field appears in the scattering.

[ { "created": "Mon, 28 Feb 1994 23:50:00 GMT", "version": "v1" } ]

2009-10-09

[ [ "Natsuume", "Makoto", "" ], [ "Polchinski", "Joseph", "" ] ]

The $c=1$ matrix model is equivalent to $1+1$ dimensional string theory. However, the tachyon self-interaction in the former is local, while in the latter it is nonlocal due to the gravitational, dilaton and higher string fields. By studying scattering of classical pulses we show that the appropriate nonlocal field redefinition converts the local matrix model interaction into the expected string form. In particular, we see how the asymptotic behavior of the gravitational field appears in the scattering.

11.649652

9.174701

10.825458

9.139293

9.700502

8.735524

9.20628

8.82788

8.761342

10.662934

8.574081

9.049035

10.51018

9.244421

9.083661

8.883808

8.796447

9.220393

9.376851

10.048476

8.887691

hep-th/0407087

Michael T. Anderson

On the structure of asymptotically de Sitter and anti-de Sitter spaces

22pp, minor changes, references added

null

hep-th gr-qc math.DG

null

We discuss several aspects of the relation between asymptotically AdS and asymptotically dS spacetimes including: the continuation between these types of spaces, the global stability of asymptotically dS spaces and the structure of limits within this class, holographic renormalization, and the maximal mass conjecture of Balasubramanian-deBoer-Minic.

[ { "created": "Mon, 12 Jul 2004 14:10:58 GMT", "version": "v1" }, { "created": "Tue, 7 Jun 2005 12:23:44 GMT", "version": "v2" } ]

2007-05-23

[ [ "Anderson", "Michael T.", "" ] ]

We discuss several aspects of the relation between asymptotically AdS and asymptotically dS spacetimes including: the continuation between these types of spaces, the global stability of asymptotically dS spaces and the structure of limits within this class, holographic renormalization, and the maximal mass conjecture of Balasubramanian-deBoer-Minic.

11.679511

12.29764

15.209747

10.066426

10.314474

12.219805

12.671891

12.318709

11.237538

12.778113

11.137506

11.530553

12.243721

11.472563

11.59949

11.227386

12.084759

11.29637

11.241163

12.291367

11.158278

hep-th/0211101

Angelos Fotopoulos

A. Fotopoulos and A.A. Tseytlin

On gravitational couplings in D-brane action

15 pages, 1 figure, LaTex JHEP style; v2: reference added, typos corrected; v3: section 2 rewritten due to an error in gauge fixing, appendix added, conclusions unchanged

JHEP 0212:001,2002

10.1088/1126-6708/2002/12/001

Imperial/TP/02 -3/3, CPHT-RR 076.1102

hep-th

null

We compute the two closed string graviton - two open string scalar scattering amplitude on the disc to show that there is no second-derivative curvature - scalar coupling term R X^2 in the low-energy effective action of a D-brane in curved space in type II superstring theory.

[ { "created": "Tue, 12 Nov 2002 12:40:49 GMT", "version": "v1" }, { "created": "Thu, 12 Dec 2002 18:36:44 GMT", "version": "v2" }, { "created": "Tue, 26 Oct 2004 14:38:22 GMT", "version": "v3" } ]

2009-11-07

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

We compute the two closed string graviton - two open string scalar scattering amplitude on the disc to show that there is no second-derivative curvature - scalar coupling term R X^2 in the low-energy effective action of a D-brane in curved space in type II superstring theory.

14.831022

13.31181

15.21645

11.014821

15.066069

11.61827

14.116426

12.683983

12.285496

14.647479

11.491386

12.268421

12.673853

11.714372

12.363666

12.782522

12.139612

12.584171

12.125695

12.204911

12.271687

1512.05376

Bert Vercnocke

Iosif Bena, Daniel R. Mayerson, Andrea Puhm and Bert Vercnocke

Tunneling into Microstate Geometries: Quantum Effects Stop Gravitational Collapse

26 pages + appendix

null

10.1007/JHEP07(2016)031

IPhT-T15/217, MCTP-15-32

hep-th

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

Collapsing shells form horizons, and when the curvature is small classical general relativity is believed to describe this process arbitrarily well. On the other hand, quantum information theory based (fuzzball/firewall) arguments suggest the existence of some structure at the black hole horizon. This structure can only form if classical general relativity stops being the correct description of the collapsing shell before it reaches the horizon size. We present strong evidence that classical general relativity can indeed break down prematurely, by explicitly computing the quantum tunneling amplitude of a collapsing shell of branes into smooth horizonless microstate geometries. We show that the amplitude for tunneling into microstate geometries with a large number of topologically non-trivial cycles is parametrically larger than exp(-S), which indicates that the shell can tunnel into a horizonless configuration long before the horizon has any chance to form. We also use this technology to investigate the tunneling of M2 branes into LLM bubbling geometries.

[ { "created": "Wed, 16 Dec 2015 21:12:20 GMT", "version": "v1" } ]

2016-08-03

[ [ "Bena", "Iosif", "" ], [ "Mayerson", "Daniel R.", "" ], [ "Puhm", "Andrea", "" ], [ "Vercnocke", "Bert", "" ] ]

Collapsing shells form horizons, and when the curvature is small classical general relativity is believed to describe this process arbitrarily well. On the other hand, quantum information theory based (fuzzball/firewall) arguments suggest the existence of some structure at the black hole horizon. This structure can only form if classical general relativity stops being the correct description of the collapsing shell before it reaches the horizon size. We present strong evidence that classical general relativity can indeed break down prematurely, by explicitly computing the quantum tunneling amplitude of a collapsing shell of branes into smooth horizonless microstate geometries. We show that the amplitude for tunneling into microstate geometries with a large number of topologically non-trivial cycles is parametrically larger than exp(-S), which indicates that the shell can tunnel into a horizonless configuration long before the horizon has any chance to form. We also use this technology to investigate the tunneling of M2 branes into LLM bubbling geometries.

9.317157

9.172468

9.266636

8.413455

9.091544

9.210748

9.326478

8.706336

8.662381

10.484837

8.433636

8.45923

8.755136

8.453176

8.367212

8.465174

8.223007

8.528852

8.327578

9.019629

8.47881

1506.03723

Carlo Maccaferri

Carlo Maccaferri, Martin Schnabl

Large BCFT moduli in open string field theory

14 pages, 3 figures. v2: minor notation improvements, version published in JHEP

JHEP 1508:149,2015

null

hep-th

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

We use the recently constructed solution for marginal deformations by one of the authors, to analytically relate the BCFT modulus (lambda_BCFT) to the coefficient of the boundary marginal field in the solution (lambda_SFT). We explicitly find that the relation is not one to one and the same value of lambda_SFT corresponds to a pair of different lambda_BCFT 's: a "small" one, and a "large" one. The BCFT moduli space is fully covered, but the coefficient of the marginal field in the solution is not a good global coordinate on such a space.

[ { "created": "Thu, 11 Jun 2015 16:02:35 GMT", "version": "v1" }, { "created": "Thu, 3 Sep 2015 13:35:23 GMT", "version": "v2" } ]

2015-09-04

[ [ "Maccaferri", "Carlo", "" ], [ "Schnabl", "Martin", "" ] ]

We use the recently constructed solution for marginal deformations by one of the authors, to analytically relate the BCFT modulus (lambda_BCFT) to the coefficient of the boundary marginal field in the solution (lambda_SFT). We explicitly find that the relation is not one to one and the same value of lambda_SFT corresponds to a pair of different lambda_BCFT 's: a "small" one, and a "large" one. The BCFT moduli space is fully covered, but the coefficient of the marginal field in the solution is not a good global coordinate on such a space.

10.576735

9.742972

11.450816

9.9917

10.075625

9.638331

9.746983

10.384288

8.780838

11.621142

9.373997

9.287911

10.372057

9.533857

9.117314

9.279484

9.23346

9.40345

9.40903

10.438749

8.966977

0911.0043

Joao Penedones

Lorenzo Cornalba, Miguel S. Costa, Joao Penedones

Deep Inelastic Scattering in Conformal QCD

44+16 pages, 7 figures. Some corrections

JHEP 1003:133,2010

10.1007/JHEP03(2010)133

CERN-PH-TH/2009-185, NSF-KITP-09-193

hep-th hep-ph

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

We consider the Regge limit of a CFT correlation function of two vector and two scalar operators, as appropriate to study small-x deep inelastic scattering in N=4 SYM or in QCD assuming approximate conformal symmetry. After clarifying the nature of the Regge limit for a CFT correlator, we use its conformal partial wave expansion to obtain an impact parameter representation encoding the exchange of a spin j Reggeon for any value of the coupling constant. The CFT impact parameter space is the three-dimensional hyperbolic space H3, which is the impact parameter space for high energy scattering in the dual AdS space. We determine the small-x structure functions associated to the exchange of a Reggeon. We discuss unitarization from the point of view of scattering in AdS and comment on the validity of the eikonal approximation. We then focus on the weak coupling limit of the theory where the amplitude is dominated by the exchange of the BFKL pomeron. Conformal invariance fixes the form of the vector impact factor and its decomposition in transverse spin 0 and spin 2 components. Our formalism reproduces exactly the general results predict by the Regge theory, both for a scalar target and for gamma*-gamma* scattering. We compute current impact factors for the specific examples of N=4 SYM and QCD, obtaining very simple results. In the case of the R-current of N=4 SYM, we show that the transverse spin 2 component vanishes. We conjecture that the impact factors of all chiral primary operators of N=4 SYM only have components with 0 transverse spin.

[ { "created": "Sun, 1 Nov 2009 02:24:12 GMT", "version": "v1" }, { "created": "Mon, 11 Jan 2010 22:19:36 GMT", "version": "v2" } ]

2010-04-08

[ [ "Cornalba", "Lorenzo", "" ], [ "Costa", "Miguel S.", "" ], [ "Penedones", "Joao", "" ] ]

We consider the Regge limit of a CFT correlation function of two vector and two scalar operators, as appropriate to study small-x deep inelastic scattering in N=4 SYM or in QCD assuming approximate conformal symmetry. After clarifying the nature of the Regge limit for a CFT correlator, we use its conformal partial wave expansion to obtain an impact parameter representation encoding the exchange of a spin j Reggeon for any value of the coupling constant. The CFT impact parameter space is the three-dimensional hyperbolic space H3, which is the impact parameter space for high energy scattering in the dual AdS space. We determine the small-x structure functions associated to the exchange of a Reggeon. We discuss unitarization from the point of view of scattering in AdS and comment on the validity of the eikonal approximation. We then focus on the weak coupling limit of the theory where the amplitude is dominated by the exchange of the BFKL pomeron. Conformal invariance fixes the form of the vector impact factor and its decomposition in transverse spin 0 and spin 2 components. Our formalism reproduces exactly the general results predict by the Regge theory, both for a scalar target and for gamma*-gamma* scattering. We compute current impact factors for the specific examples of N=4 SYM and QCD, obtaining very simple results. In the case of the R-current of N=4 SYM, we show that the transverse spin 2 component vanishes. We conjecture that the impact factors of all chiral primary operators of N=4 SYM only have components with 0 transverse spin.

6.159592

7.249469

7.199494

6.534959

7.421436

7.64373

7.368334

7.354406

6.365016

7.318773

6.999232

6.779308

6.696159

6.616282

6.812767

6.873461

6.646087

6.824597

6.454616

6.686241

6.533811

1607.01922

David Berenstein

David Berenstein, Alexandra Miller

Logarithmic enhancements in conformal perturbation theory and their real time interpretation

20 pages

null

hep-th

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

We study various corrections of correlation functions to leading order in conformal perturbation theory, both on the cylinder and on the plane. Many problems on the cylinder are mathematically equivalent to those in the plane if we give the perturbations a position dependent scaling profile. The integrals to be done are then similar to the study of correlation functions with one additional insertion at the center of the profile. We will be primarily interested in the divergence structure of these corrections when computed in dimensional regularization. In particular, we show that the logarithmic divergences (enhancements) that show up in the plane under these circumstances can be understood in terms of resonant behavior in time dependent perturbation theory, for a transition between states that is induced by an oscillatory perturbation on the cylinder.

[ { "created": "Thu, 7 Jul 2016 08:52:03 GMT", "version": "v1" } ]

2016-07-08

[ [ "Berenstein", "David", "" ], [ "Miller", "Alexandra", "" ] ]

We study various corrections of correlation functions to leading order in conformal perturbation theory, both on the cylinder and on the plane. Many problems on the cylinder are mathematically equivalent to those in the plane if we give the perturbations a position dependent scaling profile. The integrals to be done are then similar to the study of correlation functions with one additional insertion at the center of the profile. We will be primarily interested in the divergence structure of these corrections when computed in dimensional regularization. In particular, we show that the logarithmic divergences (enhancements) that show up in the plane under these circumstances can be understood in terms of resonant behavior in time dependent perturbation theory, for a transition between states that is induced by an oscillatory perturbation on the cylinder.

13.060466

13.07372

13.750486

13.140693

12.573161

13.009443

13.26874

13.599329

13.25448

16.011131

12.691639

12.530504

13.225148

12.362348

12.435056

12.304502

12.524753

12.386738

12.471087

13.423707

12.273708

hep-th/9612244

Chaiho Rim

Fermion Ground State of Three Particles in a Harmonic Potential Well and Its Anyon Interpolation

RevTex, 11pages

J.KoreanPhys.Soc.29:559-562,1996

null

SNUTP/96-052

hep-th

null

We examine the detail of the analytic structure of an exact analytic solution of three anyons, which interpolates to the fermion ground state in a harmonic potential well. The analysis is done on the fundamental domain with appropriate boundary conditions. Some remarks on the hard-core conditions and self-adjointness are made.

[ { "created": "Sat, 28 Dec 1996 04:07:54 GMT", "version": "v1" } ]

2008-11-26

[ [ "Rim", "Chaiho", "" ] ]

We examine the detail of the analytic structure of an exact analytic solution of three anyons, which interpolates to the fermion ground state in a harmonic potential well. The analysis is done on the fundamental domain with appropriate boundary conditions. Some remarks on the hard-core conditions and self-adjointness are made.

22.11408

16.267683

20.41227

16.319832

17.024324

17.115005

16.693958

15.721534

15.528898

20.549398

17.802332

17.972551

19.814594

17.70697

18.142353

19.228306

18.093782

17.959547

18.065304

20.420847

18.607327

hep-th/9405079

Piotr Podles

P. Kondratowicz and P. Podles

On representation theory of quantum $SL_q(2)$ groups at roots of unity

31 pages, Section 2.7 added and other minor changes

Banach Center Publ. 40 (1997) 223-248

null

hep-th math.QA

null

Irreducible representations of quantum groups $SL_q(2)$ (in Woronowicz' approach) were classified in J.Wang, B.Parshall, Memoirs AMS 439 in the~case of $q$ being an~odd root of unity. Here we find the~irreducible representations for all roots of unity (also of an~even degree), as well as describe "the~diagonal part" of tensor product of any two irreducible representations. An~example of not completely reducible representation is given. Non--existence of Haar functional is proved. The~corresponding representations of universal enveloping algebras of Jimbo and Lusztig are provided. We also recall the~case of general~$q$. Our computations are done in explicit way.

[ { "created": "Thu, 12 May 1994 12:26:42 GMT", "version": "v1" }, { "created": "Fri, 3 Jun 1994 11:11:46 GMT", "version": "v2" }, { "created": "Sun, 21 Jan 1996 03:31:14 GMT", "version": "v3" } ]

2008-02-03

[ [ "Kondratowicz", "P.", "" ], [ "Podles", "P.", "" ] ]

Irreducible representations of quantum groups $SL_q(2)$ (in Woronowicz' approach) were classified in J.Wang, B.Parshall, Memoirs AMS 439 in the~case of $q$ being an~odd root of unity. Here we find the~irreducible representations for all roots of unity (also of an~even degree), as well as describe "the~diagonal part" of tensor product of any two irreducible representations. An~example of not completely reducible representation is given. Non--existence of Haar functional is proved. The~corresponding representations of universal enveloping algebras of Jimbo and Lusztig are provided. We also recall the~case of general~$q$. Our computations are done in explicit way.

10.474182

11.974467

12.495441

11.125949

12.457768

12.452152

11.330953

13.032484

10.426721

13.47329

10.929465

10.447203

10.765506

9.994919

10.208057

9.9807

10.025379

10.156257

9.864635

10.379092

10.14825

1108.4158

S. Q. Wu

Shuang-Qing Wu

Two-charged non-extremal rotating black holes in seven-dimensional gauged supergravity: The single-rotation case

13 pages, elsarticle.cls, revised version with two typos removed and three references added

Phys. Lett. B 705 (2011) 383-387

10.1016/j.physletb.2011.10.026

null

hep-th gr-qc

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

We construct the solution for non-extremal charged rotating black holes in seven-dimensional gauged supergravity, in the case with only one rotation parameter and two independent charges. Using the Boyer-Lindquist coordinates, the metric is expressed in a generalized form of the ansatz previously presented in [S.Q. Wu, Phys. Rev. D 83 (2011) 121502(R)], which may be helpful to find the most general non-extremal two-charged rotating black hole with three unequal rotation parameters. The conserved charges for thermodynamics are also computed.

[ { "created": "Sun, 21 Aug 2011 02:57:06 GMT", "version": "v1" }, { "created": "Thu, 25 Aug 2011 01:49:27 GMT", "version": "v2" }, { "created": "Tue, 11 Oct 2011 04:34:43 GMT", "version": "v3" } ]

2011-11-01

[ [ "Wu", "Shuang-Qing", "" ] ]

We construct the solution for non-extremal charged rotating black holes in seven-dimensional gauged supergravity, in the case with only one rotation parameter and two independent charges. Using the Boyer-Lindquist coordinates, the metric is expressed in a generalized form of the ansatz previously presented in [S.Q. Wu, Phys. Rev. D 83 (2011) 121502(R)], which may be helpful to find the most general non-extremal two-charged rotating black hole with three unequal rotation parameters. The conserved charges for thermodynamics are also computed.

7.730879

7.173748

7.799767

6.671453

8.138706

7.486701

7.974719

7.139633

6.951282

8.468616

7.453555

7.521986

7.735136

7.457897

7.641684

7.515471

7.815133

7.680099

7.838433

7.871579

7.639851

1407.4275

Javier Matulich

Glenn Barnich, Laura Donnay, Javier Matulich, Ricardo Troncoso

Asymptotic symmetries and dynamics of three-dimensional flat supergravity

13 pages, no figures

null

10.1007/JHEP08(2014)071

CECS-PHY-14/02

hep-th gr-qc

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

A consistent set of asymptotic conditions for the simplest supergravity theory without cosmological constant in three dimensions is proposed. The canonical generators associated to the asymptotic symmetries are shown to span a supersymmetric extension of the BMS$_3$ algebra with an appropriate central charge. The energy is manifestly bounded from below with the ground state given by the null orbifold or Minkowski spacetime for periodic, respectively antiperiodic boundary conditions on the gravitino. These results are related to the corresponding ones in AdS$_3$ supergravity by a suitable flat limit. The analysis is generalized to the case of minimal flat supergravity with additional parity odd terms for which the Poisson algebra of canonical generators form a representation of the super-BMS$_3$ algebra with an additional central charge.

[ { "created": "Wed, 16 Jul 2014 12:20:24 GMT", "version": "v1" } ]

2015-06-22

[ [ "Barnich", "Glenn", "" ], [ "Donnay", "Laura", "" ], [ "Matulich", "Javier", "" ], [ "Troncoso", "Ricardo", "" ] ]

A consistent set of asymptotic conditions for the simplest supergravity theory without cosmological constant in three dimensions is proposed. The canonical generators associated to the asymptotic symmetries are shown to span a supersymmetric extension of the BMS$_3$ algebra with an appropriate central charge. The energy is manifestly bounded from below with the ground state given by the null orbifold or Minkowski spacetime for periodic, respectively antiperiodic boundary conditions on the gravitino. These results are related to the corresponding ones in AdS$_3$ supergravity by a suitable flat limit. The analysis is generalized to the case of minimal flat supergravity with additional parity odd terms for which the Poisson algebra of canonical generators form a representation of the super-BMS$_3$ algebra with an additional central charge.

8.037251

6.445305

7.745663

6.69143

6.74437

6.956247

6.875592

6.845807

6.758116

7.764401

6.74084

6.852121

7.402256

6.94487

7.282

6.813725

6.94597

7.025347

7.158674

7.22154

6.972885

hep-th/0312181

Kenichiro Aoki

Kenichiro Aoki, Eric D'Hoker and D.H. Phong

Two-Loop Superstrings on Orbifold Compactifications

Corrected typos; added refs

Nucl.Phys. B688 (2004) 3-69

10.1016/j.nuclphysb.2004.04.001

null

hep-th math.CV

null

The two-loop chiral measure for superstring theories compactified on $\bZ_2$ reflection orbifolds is constructed from first principles for even spin structures. This is achieved by a careful implementation of the chiral splitting procedure in the twisted sectors and the identification of a subtle worldsheet supersymmetric and supermoduli dependent shift in the Prym period. The construction is generalized to compactifications which involve more general NS backgrounds preserving worldsheet supersymmetry. The measures are unambiguous and independent of the gauge slice. Two applications are presented, both to superstring compactifications where 4 dimensions are $\bZ_2$-twisted and where the GSO projection involves a chiral summation over spin structures. The first is an orbifold by a single $\bZ_2$-twist; here, orbifolding reproduces a supersymmetric theory and it is shown that its cosmological constant indeed vanishes. The second model is of the type proposed by Kachru-Kumar-Silverstein and additionally imposes a $\bZ_2$-twist by the parity of worldsheet fermion number; it is shown here that the corresponding cosmological constant does not vanish pointwise on moduli space.

[ { "created": "Tue, 16 Dec 2003 10:51:10 GMT", "version": "v1" }, { "created": "Fri, 26 Mar 2004 02:50:17 GMT", "version": "v2" } ]

2009-11-10

[ [ "Aoki", "Kenichiro", "" ], [ "D'Hoker", "Eric", "" ], [ "Phong", "D. H.", "" ] ]

The two-loop chiral measure for superstring theories compactified on $\bZ_2$ reflection orbifolds is constructed from first principles for even spin structures. This is achieved by a careful implementation of the chiral splitting procedure in the twisted sectors and the identification of a subtle worldsheet supersymmetric and supermoduli dependent shift in the Prym period. The construction is generalized to compactifications which involve more general NS backgrounds preserving worldsheet supersymmetry. The measures are unambiguous and independent of the gauge slice. Two applications are presented, both to superstring compactifications where 4 dimensions are $\bZ_2$-twisted and where the GSO projection involves a chiral summation over spin structures. The first is an orbifold by a single $\bZ_2$-twist; here, orbifolding reproduces a supersymmetric theory and it is shown that its cosmological constant indeed vanishes. The second model is of the type proposed by Kachru-Kumar-Silverstein and additionally imposes a $\bZ_2$-twist by the parity of worldsheet fermion number; it is shown here that the corresponding cosmological constant does not vanish pointwise on moduli space.

11.0804

11.039526

12.229446

11.176866

11.025194

10.657279

11.832103

11.064752

11.00641

14.117691

11.042806

10.753315

11.667583

10.960964

10.695497

10.909156

11.016449

10.835379

11.16853

11.344994

10.688435

hep-th/0408003

A. D. Alhaidari

Spinor superalgebra: Towards a theory for higher spin particles

16 pages

null

hep-th

null

We define a superalgebra S2(N/2) as a Z2 graded algebra of dimension 2N+3, where N is a positive, odd integer. The even component is a three-dimensional abelian subalgebra, while the odd component is made up of two N-dimensional, mutually conjugate algebras. For N = 1, two of the three even elements become identical, resulting in a four-dimensional superalgebra which is the graded extension of the SO(2,1) Lie algebra that has recently been introduced in the solution of the Dirac equation for spinn 1/2. Realization of the elements of S2(N/2) is given in terms of differential matrix operators acting on an N+1 dimensional space that could support a representation of the Lorentz space-time symmetry group for spin N/2. The N = 3 case results in a 4x4 matrix wave equation, which is linear and of first order in the space-time derivatives. We show that the "canonical" form of the Dirac Hamiltonian is an element of this superalgebra.

[ { "created": "Sat, 31 Jul 2004 17:18:48 GMT", "version": "v1" } ]

2007-05-23

[ [ "Alhaidari", "A. D.", "" ] ]

We define a superalgebra S2(N/2) as a Z2 graded algebra of dimension 2N+3, where N is a positive, odd integer. The even component is a three-dimensional abelian subalgebra, while the odd component is made up of two N-dimensional, mutually conjugate algebras. For N = 1, two of the three even elements become identical, resulting in a four-dimensional superalgebra which is the graded extension of the SO(2,1) Lie algebra that has recently been introduced in the solution of the Dirac equation for spinn 1/2. Realization of the elements of S2(N/2) is given in terms of differential matrix operators acting on an N+1 dimensional space that could support a representation of the Lorentz space-time symmetry group for spin N/2. The N = 3 case results in a 4x4 matrix wave equation, which is linear and of first order in the space-time derivatives. We show that the "canonical" form of the Dirac Hamiltonian is an element of this superalgebra.

7.373872

7.895125

7.847814

7.612413

7.964307

7.640274

8.159553

7.501442

7.581614

7.865467

7.069003

7.302303

7.310431

7.024055

7.159404

7.025128

7.170611

7.030322

7.082328

7.178947

7.113953

2103.06666

Meer Ashwinkumar

Meer Ashwinkumar, Lennart Schmidt, Meng-Chwan Tan

Matrix Quantization of Classical Nambu Brackets and Super $p$-Branes

36 pages. Updated title and refined presentation. Published in JHEP

JHEP 07 (2021) 172

10.1007/JHEP07(2021)172

null

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

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

We present an explicit matrix algebra quantization of the algebra of volume-preserving diffeomorphisms of the $n$-torus. That is, we approximate the corresponding classical Nambu brackets using $\mathfrak{sl}(N^{\lceil\frac{n}{2}\rceil},\mathbb{C})$-matrices equipped with the finite bracket given by the completely anti-symmetrized matrix product, such that the classical brackets are retrieved in the $N\rightarrow \infty$ limit. We then apply this approximation to the super $4$-brane in $9$ dimensions and give a regularized action in analogy with the matrix quantization of the supermembrane. This action exhibits a reduced gauge symmetry that we discuss from the viewpoint of $L_\infty$-algebras in a slight generalization to the construction of Lie $2$-algebras from Bagger--Lambert $3$-algebras.

[ { "created": "Thu, 11 Mar 2021 13:44:57 GMT", "version": "v1" }, { "created": "Thu, 22 Jul 2021 12:29:03 GMT", "version": "v2" }, { "created": "Thu, 6 Jan 2022 18:11:05 GMT", "version": "v3" } ]

2022-08-02

[ [ "Ashwinkumar", "Meer", "" ], [ "Schmidt", "Lennart", "" ], [ "Tan", "Meng-Chwan", "" ] ]

We present an explicit matrix algebra quantization of the algebra of volume-preserving diffeomorphisms of the $n$-torus. That is, we approximate the corresponding classical Nambu brackets using $\mathfrak{sl}(N^{\lceil\frac{n}{2}\rceil},\mathbb{C})$-matrices equipped with the finite bracket given by the completely anti-symmetrized matrix product, such that the classical brackets are retrieved in the $N\rightarrow \infty$ limit. We then apply this approximation to the super $4$-brane in $9$ dimensions and give a regularized action in analogy with the matrix quantization of the supermembrane. This action exhibits a reduced gauge symmetry that we discuss from the viewpoint of $L_\infty$-algebras in a slight generalization to the construction of Lie $2$-algebras from Bagger--Lambert $3$-algebras.

7.057048

8.280361

8.120901

7.465287

7.509999

6.863031

7.526286

7.168893

6.957523

8.621832

6.875762

6.631478

7.151558

6.641405

6.723285

6.744722

6.517046

6.567426

6.792521

7.172047

6.58187

hep-th/0111147

Chung

Ding-Yu Chung

The Periodic Table of Elementary Particles and the Composition of Hadrons

32 pages, 13 tables, 6 figures

null

hep-th

null

All leptons, quarks, and gauge bosons can be placed in the periodic table of elementary particles. As the periodic table of elements derived from atomic orbital, the periodic table of elementary particles is derived from the two sets of seven orbitals: principal dimensional orbital and auxiliary dimensional orbital. (Seven orbitals come indirectly from the seven extra dimensions in eleven-dimensional space-time.) Principal dimensional orbital derived from varying space-time dimension, varying speed of light, and varying supersymmetry explains gauge bosons and low-mass leptons. Auxiliary dimensional orbital derived from principal dimensional orbital accounts for high-mass leptons and individual quarks. For hadrons as the composites of individual quarks, hadronic dimensional orbital derived from auxiliary dimensional orbital is responsible. These three sets of seven orbitals explain all elementary particles and hadrons. QCD, essentially, describes the different occupations of quarks in the three sets of seven orbitals at different temperatures. The periodic table of elementary particles and the compositions of hadrons relate to the Barut lepton mass formula, the Polazzi mass formula for stable hadrons, and the MacGregor-Akers constituent quark model. The calculated masses for elementary particles and hadrons are in good agreement with the observed masses. For examples, the calculated masses for the top quark, neutron, and pion are 176.5 GeV, 939.54MeV, and 135.01MeV in excellent agreement with the observed masses, 174.3 GeV, 939.57 MeV, and 134.98 MeV, respectively.

[ { "created": "Thu, 15 Nov 2001 22:55:27 GMT", "version": "v1" }, { "created": "Sat, 17 Nov 2001 12:22:28 GMT", "version": "v2" }, { "created": "Tue, 27 Nov 2001 21:33:17 GMT", "version": "v3" }, { "created": "Thu, 15 May 2003 02:08:30 GMT", "version": "v4" }, { "created": "Wed, 20 Oct 2004 16:41:50 GMT", "version": "v5" } ]

2016-09-06

[ [ "Chung", "Ding-Yu", "" ] ]

All leptons, quarks, and gauge bosons can be placed in the periodic table of elementary particles. As the periodic table of elements derived from atomic orbital, the periodic table of elementary particles is derived from the two sets of seven orbitals: principal dimensional orbital and auxiliary dimensional orbital. (Seven orbitals come indirectly from the seven extra dimensions in eleven-dimensional space-time.) Principal dimensional orbital derived from varying space-time dimension, varying speed of light, and varying supersymmetry explains gauge bosons and low-mass leptons. Auxiliary dimensional orbital derived from principal dimensional orbital accounts for high-mass leptons and individual quarks. For hadrons as the composites of individual quarks, hadronic dimensional orbital derived from auxiliary dimensional orbital is responsible. These three sets of seven orbitals explain all elementary particles and hadrons. QCD, essentially, describes the different occupations of quarks in the three sets of seven orbitals at different temperatures. The periodic table of elementary particles and the compositions of hadrons relate to the Barut lepton mass formula, the Polazzi mass formula for stable hadrons, and the MacGregor-Akers constituent quark model. The calculated masses for elementary particles and hadrons are in good agreement with the observed masses. For examples, the calculated masses for the top quark, neutron, and pion are 176.5 GeV, 939.54MeV, and 135.01MeV in excellent agreement with the observed masses, 174.3 GeV, 939.57 MeV, and 134.98 MeV, respectively.

8.005638

9.226218

8.503391

8.528391

8.709079

10.177901

9.777185

8.744599

8.72022

8.787458

8.981765

8.262383

8.165147

8.191781

8.054209

8.125335

8.253971

8.108189

8.204749

8.209706

8.217565

hep-th/0503025

Sonia P. Paban

C. Krishnan, S. Paban and M. Zanic

Evolution of Gravitationally Unstable de Sitter Compactifications

11 pages, 8 figures; references added, typos corrected and figure 5 replaced

JHEP 0505 (2005) 045

10.1088/1126-6708/2005/05/045

UTTG-03-05

hep-th

null

We study the time evolution of unstable $dS_p$ \times $S^q$ configurations with flux in theories of gravity with a cosmological constant. For certain values of the flux, we identify a stable configuration to which these unstable solutions flow. For other values of the flux the sphere wants to decompactify, regardless of the sign of the initial perturbation.

[ { "created": "Wed, 2 Mar 2005 21:26:56 GMT", "version": "v1" }, { "created": "Fri, 1 Apr 2005 17:38:21 GMT", "version": "v2" } ]

2009-11-11

[ [ "Krishnan", "C.", "" ], [ "Paban", "S.", "" ], [ "Zanic", "M.", "" ] ]

We study the time evolution of unstable $dS_p$ \times $S^q$ configurations with flux in theories of gravity with a cosmological constant. For certain values of the flux, we identify a stable configuration to which these unstable solutions flow. For other values of the flux the sphere wants to decompactify, regardless of the sign of the initial perturbation.

15.084446

13.704496

15.533327

13.217394

12.922339

14.895481

11.786016

12.418268

12.294403

16.608709

12.3172

12.714999

14.459231

13.006249

13.352383

13.103484

12.643576

12.079124

13.165121

14.978076

11.877888

1103.2454

Ryo Saotome

Ratindranath Akhoury, David Garfinkle, Ryo Saotome and Alexander Vikman

Non-Stationary Dark Energy Around a Black Hole

8 pages, 10 figures

Phys.Rev.D83:084034,2011

10.1103/PhysRevD.83.084034

null

hep-th gr-qc

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

Numerical simulations of the accretion of test scalar fields with non-standard kinetic terms (of the k-essence type) onto a Schwarzschild black hole are performed. We find a full dynamical solution for the spherical accretion of a Dirac-Born-Infeld type scalar field. The simulations show that the accretion eventually settles down to a well known stationary solution. This particular analytical steady state solution maintains two separate horizons. The standard horizon is for the usual particles propagating with the limiting speed of light, while the other sonic horizon is for the k-essence perturbations propagating with the speed of sound around this accreting background. For the case where the k-essence perturbations propagate superluminally, we show that one can send signals from within a black hole during the approach to the stationary solution. We also find that a ghost condensate model settles down to a stationary solution during the accretion process.

[ { "created": "Sat, 12 Mar 2011 15:54:15 GMT", "version": "v1" } ]

2011-07-22

[ [ "Akhoury", "Ratindranath", "" ], [ "Garfinkle", "David", "" ], [ "Saotome", "Ryo", "" ], [ "Vikman", "Alexander", "" ] ]

Numerical simulations of the accretion of test scalar fields with non-standard kinetic terms (of the k-essence type) onto a Schwarzschild black hole are performed. We find a full dynamical solution for the spherical accretion of a Dirac-Born-Infeld type scalar field. The simulations show that the accretion eventually settles down to a well known stationary solution. This particular analytical steady state solution maintains two separate horizons. The standard horizon is for the usual particles propagating with the limiting speed of light, while the other sonic horizon is for the k-essence perturbations propagating with the speed of sound around this accreting background. For the case where the k-essence perturbations propagate superluminally, we show that one can send signals from within a black hole during the approach to the stationary solution. We also find that a ghost condensate model settles down to a stationary solution during the accretion process.

8.634977

8.069029

7.429914

7.996119

8.546264

8.606016

9.242459

8.184739

8.00236

8.453977

8.539483

8.171052

7.808266

7.758809

7.623539

8.061278

8.159369

8.201775

7.850791

7.992201

8.149613

1001.3046

Adel Rezaei-Aghdam

S. Hajizadeh and A. Rezaei-Aghdam

Poisson-Lie sigma models over low dimensional real Poisson-Lie groups

12 pages, 1 tables

null

hep-th

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

The Poisson-Lie sigma models over nonsemisimple low dimensional real Poisson-Lie groups are investigated. We find two sided models on two, three and some four dimensional Poisson-Lie groups where the Poisson-Lie sigma models over Poisson-Lie groups G and its dual $\tilde{G}$ are topological sigma models or BF gauge models.

[ { "created": "Mon, 18 Jan 2010 12:56:07 GMT", "version": "v1" }, { "created": "Mon, 5 Jul 2010 13:16:49 GMT", "version": "v2" }, { "created": "Tue, 18 Oct 2011 08:52:15 GMT", "version": "v3" } ]

2011-10-19

[ [ "Hajizadeh", "S.", "" ], [ "Rezaei-Aghdam", "A.", "" ] ]

The Poisson-Lie sigma models over nonsemisimple low dimensional real Poisson-Lie groups are investigated. We find two sided models on two, three and some four dimensional Poisson-Lie groups where the Poisson-Lie sigma models over Poisson-Lie groups G and its dual $\tilde{G}$ are topological sigma models or BF gauge models.

13.820622

12.976184

13.216244

11.282273

12.718716

15.202565

12.299909

14.093347

11.936768

18.472563

12.786403

13.619439

12.952161

13.109496

13.350377

13.582489

14.028894

12.760264

12.909031

12.839789

12.34166

1606.06601

Silvio Paolo Sorella

M. A. L. Capri, D. Fiorentini, M. S. Guimaraes, B. W. Mintz, L. F. Palhares, S. P. Sorella

A local and renormalizable framework for the gauge-invariant operator $A^2_{\min}$ in Euclidean Yang-Mills theories in linear covariant gauges

35 pages; v2: ref. added

Phys. Rev. D 94, 065009 (2016)

10.1103/PhysRevD.94.065009

null

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

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

We address the issue of the renormalizability of the gauge-invariant non-local dimension-two operator $A^2_{\rm min}$, whose minimization is defined along the gauge orbit. Despite its non-local character, we show that the operator $A^2_{\rm min}$ can be cast in local form through the introduction of an auxiliary Stueckelberg field. The localization procedure gives rise to an unconventional kind of Stueckelberg-type action which turns out to be renormalizable to all orders of perturbation theory. In particular, as a consequence of its gauge invariance, the anomalous dimension of the operator $A^2_{\rm min}$ turns out to be independent from the gauge parameter $\alpha$ entering the gauge-fixing condition, being thus given by the anomalous dimension of the operator $A^2$ in the Landau gauge.

[ { "created": "Tue, 21 Jun 2016 14:39:31 GMT", "version": "v1" }, { "created": "Thu, 23 Jun 2016 23:36:42 GMT", "version": "v2" }, { "created": "Mon, 4 Jul 2016 12:29:27 GMT", "version": "v3" } ]

2016-09-14

[ [ "Capri", "M. A. L.", "" ], [ "Fiorentini", "D.", "" ], [ "Guimaraes", "M. S.", "" ], [ "Mintz", "B. W.", "" ], [ "Palhares", "L. F.", "" ], [ "Sorella", "S. P.", "" ] ]

We address the issue of the renormalizability of the gauge-invariant non-local dimension-two operator $A^2_{\rm min}$, whose minimization is defined along the gauge orbit. Despite its non-local character, we show that the operator $A^2_{\rm min}$ can be cast in local form through the introduction of an auxiliary Stueckelberg field. The localization procedure gives rise to an unconventional kind of Stueckelberg-type action which turns out to be renormalizable to all orders of perturbation theory. In particular, as a consequence of its gauge invariance, the anomalous dimension of the operator $A^2_{\rm min}$ turns out to be independent from the gauge parameter $\alpha$ entering the gauge-fixing condition, being thus given by the anomalous dimension of the operator $A^2$ in the Landau gauge.

4.771987

4.75019

4.751058

4.739887

4.671643

4.634403

4.522121

4.61548

4.559311

5.022575

4.453161

4.53699

4.734134

4.470077

4.505303

4.366203

4.397904

4.375138

4.581728

4.7898

4.448986

0705.0983

Masaki Shigemori

Joseph Marsano, Kyriakos Papadodimas and Masaki Shigemori

Nonsupersymmetric Brane/Antibrane Configurations in Type IIA and M Theory

84 pages (57 pages + 4 appendices), 18 figures

Nucl.Phys.B789:294-361,2008

10.1016/j.nuclphysb.2007.08.010

CALT-68-2644, ITFA-2007-15

hep-th

null

We study metastable nonsupersymmetric configurations in type IIA string theory, obtained by suspending D4-branes and anti-D4-branes between holomorphically curved NS5's, which are related to those of hep-th/0610249 by T-duality. When the numbers of branes and antibranes are the same, we are able to obtain an exact M theory lift which can be used to reliably describe the vacuum configuration as a curved NS5 with dissolved RR flux for g_s<<1 and as a curved M5 for g_s>>1. When our weakly coupled description is reliable, it is related by T-duality to the deformed IIB geometry with flux of hep-th/0610249 with moduli exactly minimizing the potential derived therein using special geometry. Moreover, we can use a direct analysis of the action to argue that this agreement must also hold for the more general brane/antibrane configurations of hep-th/0610249. On the other hand, when our strongly coupled description is reliable, the M5 wraps a nonholomorphic minimal area curve that can exhibit quite different properties, suggesting that the residual structure remaining after spontaneous breaking of supersymmetry at tree level can be further broken by the effects of string interactions. Finally, we discuss the boundary condition issues raised in hep-th/0608157 for nonsupersymmetric IIA configurations, their implications for our setup, and their realization on the type IIB side.

[ { "created": "Mon, 7 May 2007 21:13:26 GMT", "version": "v1" } ]

2008-11-26

[ [ "Marsano", "Joseph", "" ], [ "Papadodimas", "Kyriakos", "" ], [ "Shigemori", "Masaki", "" ] ]

We study metastable nonsupersymmetric configurations in type IIA string theory, obtained by suspending D4-branes and anti-D4-branes between holomorphically curved NS5's, which are related to those of hep-th/0610249 by T-duality. When the numbers of branes and antibranes are the same, we are able to obtain an exact M theory lift which can be used to reliably describe the vacuum configuration as a curved NS5 with dissolved RR flux for g_s<<1 and as a curved M5 for g_s>>1. When our weakly coupled description is reliable, it is related by T-duality to the deformed IIB geometry with flux of hep-th/0610249 with moduli exactly minimizing the potential derived therein using special geometry. Moreover, we can use a direct analysis of the action to argue that this agreement must also hold for the more general brane/antibrane configurations of hep-th/0610249. On the other hand, when our strongly coupled description is reliable, the M5 wraps a nonholomorphic minimal area curve that can exhibit quite different properties, suggesting that the residual structure remaining after spontaneous breaking of supersymmetry at tree level can be further broken by the effects of string interactions. Finally, we discuss the boundary condition issues raised in hep-th/0608157 for nonsupersymmetric IIA configurations, their implications for our setup, and their realization on the type IIB side.

11.141381

11.427342

12.472108

10.28935

11.124624

10.687654

11.528801

10.585924

10.260201

13.146699

10.607621

10.981231

11.156567

10.66266

10.854408

10.688879

10.681007

10.780734

10.535522

11.433949

10.57592

hep-th/0201162

Vitor Cardoso

Vitor Cardoso, Jose' P. S. Lemos

Scalar Synchrotron Radiation in the Schwarzschild-anti-de Sitter Geometry

13 pages, 6 figures, published version. References added

Phys.Rev. D65 (2002) 104033

10.1103/PhysRevD.65.104033

null

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

null

We present a complete relativistic analysis for the scalar radiation emitted by a particle in circular orbit around a Schwarzschild-anti-de Sitter black hole. If the black hole is large, then the radiation is concentrated in narrow angles- high multipolar distribution- i.e., the radiation is synchrotronic. However, small black holes exhibit a totally different behavior: in the small black hole regime, the radiation is concentrated in low multipoles. There is a transition mass at $M=0.427 R$, where $R$ is the AdS radius. This behavior is new, it is not present in asymptotically flat spacetimes.

[ { "created": "Mon, 21 Jan 2002 10:55:50 GMT", "version": "v1" }, { "created": "Sat, 18 May 2002 14:02:27 GMT", "version": "v2" } ]

2016-09-06

[ [ "Cardoso", "Vitor", "" ], [ "Lemos", "Jose' P. S.", "" ] ]

We present a complete relativistic analysis for the scalar radiation emitted by a particle in circular orbit around a Schwarzschild-anti-de Sitter black hole. If the black hole is large, then the radiation is concentrated in narrow angles- high multipolar distribution- i.e., the radiation is synchrotronic. However, small black holes exhibit a totally different behavior: in the small black hole regime, the radiation is concentrated in low multipoles. There is a transition mass at $M=0.427 R$, where $R$ is the AdS radius. This behavior is new, it is not present in asymptotically flat spacetimes.

8.494077

9.17805

7.963228

7.836872

8.962759

8.255607

8.446292

7.767653

8.26491

9.289179

8.000698

8.130388

7.563275

7.787806

7.907408

7.966877

7.790454

7.665155

7.726296

7.610769

7.696072

hep-th/0010265

Fedor Gubarev

M.N.Chernodub, F.V.Gubarev, M.I.Polikarpov, V.I.Zakharov

Towards Abelian-like formulation of the dual gluodynamics

28+1 pp., Latex2e, 1 figure

Nucl.Phys. B600 (2001) 163-184

10.1016/S0550-3213(01)00011-6

ITEP-TH-28/00

hep-th hep-lat hep-ph

null

We consider gluodynamics in case when both color and magnetic charges are present. We discuss first short distance physics, where only the fundamental |Q|=1 monopoles introduced via the `t Hooft loop can be considered consistently. We show that at short distances the external monopoles interact as pure Abelian objects. This result can be reproduced by a Zwanziger-type Lagrangian with an Abelian dual gluon. We introduce also an effective dual gluodynamics which might be a valid approximation at distances where the monopoles |Q|=2 can be considered as point-like as well. Assuming the monopole condensation we arrive at a model which is reminiscent in some respect of the Abelian Higgs model but, unlike the latter leaves space for the Casimir scaling.

[ { "created": "Sat, 28 Oct 2000 08:43:12 GMT", "version": "v1" } ]

2009-10-31

[ [ "Chernodub", "M. N.", "" ], [ "Gubarev", "F. V.", "" ], [ "Polikarpov", "M. I.", "" ], [ "Zakharov", "V. I.", "" ] ]

We consider gluodynamics in case when both color and magnetic charges are present. We discuss first short distance physics, where only the fundamental |Q|=1 monopoles introduced via the `t Hooft loop can be considered consistently. We show that at short distances the external monopoles interact as pure Abelian objects. This result can be reproduced by a Zwanziger-type Lagrangian with an Abelian dual gluon. We introduce also an effective dual gluodynamics which might be a valid approximation at distances where the monopoles |Q|=2 can be considered as point-like as well. Assuming the monopole condensation we arrive at a model which is reminiscent in some respect of the Abelian Higgs model but, unlike the latter leaves space for the Casimir scaling.

14.154394

14.489307

13.703856

13.354748

15.365088

14.596916

13.701523

15.559369

12.787704

14.838799

13.854768

13.949015

13.689801

13.911562

14.144315

13.645643

13.605082

14.305937

13.45218

14.054444

13.69621

2207.02831

Eduardo Garc\'ia-Valdecasas Tenreiro

Jeremias Aguilera Damia, Riccardo Argurio, Eduardo Garcia-Valdecasas

Non-Invertible Defects in 5d, Boundaries and Holography

v3: Journal Version

SciPost Phys. 14, 067 (2023)

10.21468/SciPostPhys.14.4.067

null

hep-th

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

We show that very simple theories of abelian gauge fields with a cubic Chern-Simons term in 5d have an infinite number of non-invertible co-dimension two defects. They arise by dressing the symmetry operators of the broken electric 1-form symmetry with a suitable topological field theory, for any rational angle. We further discuss the same theories in the presence of a 4d boundary, and more particularly in a holographic setting. There we find that the bulk defects, when pushed to the boundary, have various different fates. Most notably, they can become co-dimension one non-invertible defects of a boundary theory with an ABJ anomaly.

[ { "created": "Wed, 6 Jul 2022 17:40:00 GMT", "version": "v1" }, { "created": "Thu, 15 Sep 2022 16:59:15 GMT", "version": "v2" }, { "created": "Tue, 10 Jan 2023 11:58:52 GMT", "version": "v3" } ]

2023-04-12

[ [ "Damia", "Jeremias Aguilera", "" ], [ "Argurio", "Riccardo", "" ], [ "Garcia-Valdecasas", "Eduardo", "" ] ]

We show that very simple theories of abelian gauge fields with a cubic Chern-Simons term in 5d have an infinite number of non-invertible co-dimension two defects. They arise by dressing the symmetry operators of the broken electric 1-form symmetry with a suitable topological field theory, for any rational angle. We further discuss the same theories in the presence of a 4d boundary, and more particularly in a holographic setting. There we find that the bulk defects, when pushed to the boundary, have various different fates. Most notably, they can become co-dimension one non-invertible defects of a boundary theory with an ABJ anomaly.

12.274475

12.303536

13.929427

11.521085

12.44781

11.592504

11.758875

10.54875

10.919999

15.159168

11.460483

11.324206

12.526538

11.092223

11.298034

10.995013

11.117895

11.94692

11.412545

12.659388

11.127468

hep-th/0001205

Ken Intriligator

Kenneth Intriligator

Anomaly Matching and a Hopf-Wess-Zumino Term in 6d, N=(2,0) Field Theories

19 pages; v2:expanded discussion of skyrmionic strings

Nucl.Phys. B581 (2000) 257-273

10.1016/S0550-3213(00)00148-6

UCSD/PTH 00-02

hep-th

null

We point out that the low energy theory of 6d, N=(2,0) field theories, when away from the origin of the moduli space of vacua, necessarily includes a new kind of Wess-Zumino term. The form of this term is related to the Hopf invariant associated with \pi_7 (S^4). The coefficient of the Wess-Zumino term is fixed by an anomaly matching relation for a global flavor symmetry. For example, in the context of a single M5 brane probe in the background of N distant M5 branes, the probe must have the Hopf-WZ term with coefficient proportional to N(N+1). Various related checks and observations are made. We also point out that there are skyrmionic strings, and propose that they are the W-boson strings.

[ { "created": "Fri, 28 Jan 2000 23:34:35 GMT", "version": "v1" }, { "created": "Wed, 1 Mar 2000 20:08:04 GMT", "version": "v2" } ]

2009-10-31

[ [ "Intriligator", "Kenneth", "" ] ]

We point out that the low energy theory of 6d, N=(2,0) field theories, when away from the origin of the moduli space of vacua, necessarily includes a new kind of Wess-Zumino term. The form of this term is related to the Hopf invariant associated with \pi_7 (S^4). The coefficient of the Wess-Zumino term is fixed by an anomaly matching relation for a global flavor symmetry. For example, in the context of a single M5 brane probe in the background of N distant M5 branes, the probe must have the Hopf-WZ term with coefficient proportional to N(N+1). Various related checks and observations are made. We also point out that there are skyrmionic strings, and propose that they are the W-boson strings.

8.572103

8.687014

9.471833

7.991086

8.407557

8.40836

8.374739

8.397301

8.475829

10.201242

7.995325

8.049066

8.429363

8.213404

8.089611

8.124918

8.119844

8.465556

8.006536

8.767305

7.817008

0909.5430

Raman Sundrum

SUSY Splits, But Then Returns

29 pages. Flavor and CP constraints on left-right symmetric structure briefly discussed. References added

JHEP 1101:062,2011

10.1007/JHEP01(2011)062

null

hep-th hep-ph

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

We study the phenomenon of accidental or "emergent" supersymmetry within gauge theory and connect it to the scenarios of Split Supersymmetry and Higgs compositeness. Combining these elements leads to a significant refinement and extension of the proposal of Partial Supersymmetry, in which supersymmetry is broken at very high energies but with a remnant surviving to the weak scale. The Hierarchy Problem is then solved by a non-trivial partnership between supersymmetry and compositeness, giving a promising approach for reconciling Higgs naturalness with the wealth of precision experimental data. We discuss aspects of this scenario from the AdS/CFT dual viewpoint of higher-dimensional warped compactification. It is argued that string theory constructions with high scale supersymmetry breaking which realize warped/composite solutions to the Hierarchy Problem may well be accompanied by some or all of the features described. The central phenomenological considerations and expectations are discussed, with more detailed modelling within warped effective field theory reserved for future work.

[ { "created": "Tue, 29 Sep 2009 20:08:41 GMT", "version": "v1" }, { "created": "Wed, 10 Nov 2010 13:41:49 GMT", "version": "v2" } ]

2011-03-04

[ [ "Sundrum", "Raman", "" ] ]

We study the phenomenon of accidental or "emergent" supersymmetry within gauge theory and connect it to the scenarios of Split Supersymmetry and Higgs compositeness. Combining these elements leads to a significant refinement and extension of the proposal of Partial Supersymmetry, in which supersymmetry is broken at very high energies but with a remnant surviving to the weak scale. The Hierarchy Problem is then solved by a non-trivial partnership between supersymmetry and compositeness, giving a promising approach for reconciling Higgs naturalness with the wealth of precision experimental data. We discuss aspects of this scenario from the AdS/CFT dual viewpoint of higher-dimensional warped compactification. It is argued that string theory constructions with high scale supersymmetry breaking which realize warped/composite solutions to the Hierarchy Problem may well be accompanied by some or all of the features described. The central phenomenological considerations and expectations are discussed, with more detailed modelling within warped effective field theory reserved for future work.

11.77054

13.129531

11.907465

11.640664

11.736526

13.292782

12.456642

12.661645

11.627078

11.972716

11.852921

11.489134

11.520165

11.489467

11.787733

11.887218

11.407697

11.472325

11.32227

11.576779

11.463879

1507.03005

Martin Heinze

Spectrum and Quantum Symmetries of the ${\rm AdS}_5 \times {\rm S}^5$ Superstring

168 pages, PhD thesis of the author; v2: typos corrected, references updated

null

hep-th

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

The the duality between ${\cal N}=4$ SYM and the AdS$_5\times\;$S$^5$ superstring appears to enjoy quantum integrability in the planar limit, which allowed to devise powerful methods ostensibly solving the spectral problem. However, quantization of the AdS$_5\times\;$S$^5$ superstring from first principles is still an open question and especially the spectrum of short string states has previously been derived only at leading order in large 't Hooft coupling. In this thesis we investigate possible routes to take the perturbative quantization of short string states beyond the leading order, where equally our aim is to gain better appreciation of the quantum symmetries at play. A prominent role is played by the lowest excited string states, dual to the Konishi supermultiplet, and we start by reviewing critically an asserted derivation of the Konishi anomalous dimension in the setup of pure spinor string theory. Next, we study the bosonic AdS$_5\times\;$S$^5$ string in static gauge, where we construct a so-called single-mode string solution, which shows classical integrability and invariance under the isometries SO(2,4)$\;\times\;$SO(6) at the quantum level. Arguing heuristically about the effects of supersymmetry, we indeed recover the first non-trivial quantum correction to the Konishi anomalous dimension. We continue by implementing static gauge for the full AdS$_5\times\;$S$^5$ superstring and find elegant expressions for the Lagrangian density and the supercharges. We then constrain our interest to the superparticle and, using two different methods, find canonical coordinates at quadratic order in fermions. As the single-mode string is just the SO(2,4)$\;\times\;$SO(6) orbit of the pulsating string, we conclude by applying orbit method quantization to the particle and spinning string solutions in bosonic AdS$_3\times\;$S$^3$ yielding consistent results for the spectra.

[ { "created": "Fri, 10 Jul 2015 19:50:45 GMT", "version": "v1" }, { "created": "Mon, 7 Nov 2016 10:59:23 GMT", "version": "v2" } ]

2016-11-08

[ [ "Heinze", "Martin", "" ] ]

The the duality between ${\cal N}=4$ SYM and the AdS$_5\times\;$S$^5$ superstring appears to enjoy quantum integrability in the planar limit, which allowed to devise powerful methods ostensibly solving the spectral problem. However, quantization of the AdS$_5\times\;$S$^5$ superstring from first principles is still an open question and especially the spectrum of short string states has previously been derived only at leading order in large 't Hooft coupling. In this thesis we investigate possible routes to take the perturbative quantization of short string states beyond the leading order, where equally our aim is to gain better appreciation of the quantum symmetries at play. A prominent role is played by the lowest excited string states, dual to the Konishi supermultiplet, and we start by reviewing critically an asserted derivation of the Konishi anomalous dimension in the setup of pure spinor string theory. Next, we study the bosonic AdS$_5\times\;$S$^5$ string in static gauge, where we construct a so-called single-mode string solution, which shows classical integrability and invariance under the isometries SO(2,4)$\;\times\;$SO(6) at the quantum level. Arguing heuristically about the effects of supersymmetry, we indeed recover the first non-trivial quantum correction to the Konishi anomalous dimension. We continue by implementing static gauge for the full AdS$_5\times\;$S$^5$ superstring and find elegant expressions for the Lagrangian density and the supercharges. We then constrain our interest to the superparticle and, using two different methods, find canonical coordinates at quadratic order in fermions. As the single-mode string is just the SO(2,4)$\;\times\;$SO(6) orbit of the pulsating string, we conclude by applying orbit method quantization to the particle and spinning string solutions in bosonic AdS$_3\times\;$S$^3$ yielding consistent results for the spectra.

8.205338

8.387409

8.886058

7.96841

8.107586

8.701366

8.387619

8.228267

8.143873

9.471032

8.216544

8.107214

8.518242

8.048235

8.207221

8.157675

8.208941

8.112841

8.033243

8.638118

8.199511

0912.0616

Giuseppe De Risi

G. De Risi

Induced cosmology on a codimension-2 brane in a conical bulk

14 pages, 1 figure. Corrections and clarifications troughout the text. Match the published version on NPB

Nucl.Phys.B845:246-256,2011

10.1016/j.nuclphysb.2010.12.006

BA-TH 620-09

hep-th gr-qc

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

We study the cosmology of a 5-dimensional brane, which represents a regularization of a 4-dimensional codimension-2 brane, embedded in a conical bulk. The brane is assumed to be tensional, and to contain a curvature term. Cosmology is obtained by letting the brane move trough the bulk, and implementing dynamical junction conditions. Our results shows that, with suitable choices of the parameters, the resulting cosmological dynamics mimics fairly well standard 4-dimensional cosmology.

[ { "created": "Thu, 3 Dec 2009 10:11:47 GMT", "version": "v1" }, { "created": "Mon, 10 Jan 2011 11:19:27 GMT", "version": "v2" } ]

2011-01-17

[ [ "De Risi", "G.", "" ] ]

We study the cosmology of a 5-dimensional brane, which represents a regularization of a 4-dimensional codimension-2 brane, embedded in a conical bulk. The brane is assumed to be tensional, and to contain a curvature term. Cosmology is obtained by letting the brane move trough the bulk, and implementing dynamical junction conditions. Our results shows that, with suitable choices of the parameters, the resulting cosmological dynamics mimics fairly well standard 4-dimensional cosmology.

9.506206

7.724412

9.361744

8.654834

9.329398

8.719052

8.790803

7.794822

8.688176

10.408363

8.77134

8.657661

8.921249

8.578097

9.065873

8.756926

9.141995

8.414725

9.017639

8.791459

8.602305

1302.3630

Tomer Shacham

A Non-Renormalization Theorem in Gapped Quantum Field Theory

9 pages, v2: typos corrected, discussion added

null

10.1007/JHEP05(2013)147

null

hep-th

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

We discuss the two-point functions of the U(1) current and energy-momentum tensor in certain gapped three-dimensional field theories, and show that the parity-odd part in both of these correlation functions is one-loop exact. In particular, we find a new and simplified derivation of the Coleman-Hill theorem that also clarifies several subtleties in the original argument. For the energy momentum tensor, our result means that the gravitational Chern-Simons term for the background metric does not receive quantum corrections

[ { "created": "Thu, 14 Feb 2013 21:14:03 GMT", "version": "v1" }, { "created": "Sun, 26 May 2013 08:25:12 GMT", "version": "v2" } ]

2015-06-15

[ [ "Shacham", "Tomer", "" ] ]

We discuss the two-point functions of the U(1) current and energy-momentum tensor in certain gapped three-dimensional field theories, and show that the parity-odd part in both of these correlation functions is one-loop exact. In particular, we find a new and simplified derivation of the Coleman-Hill theorem that also clarifies several subtleties in the original argument. For the energy momentum tensor, our result means that the gravitational Chern-Simons term for the background metric does not receive quantum corrections

8.232568

7.105273

8.502025

7.147029

7.290503

7.389213

7.776586

7.038249

7.066022

8.903497

7.741567

7.827127

8.508707

7.515079

7.900321

7.975295

7.72073

7.853895

7.663249

8.12213

7.896786

1503.07410

Ruggero Ferrari

Managing $\gamma_5$ in Dimensional Regularization II: the Trace with more $\gamma_5$

21 pages LaTex, no figures

null

10.1007/s10773-016-3211-8

MIT-CTP4643 March 2015

hep-th

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

In the present paper we evaluate the anomaly for the abelian axial current in a non abelian chiral gauge theory, by using dimensional regularization. This amount to formulate a procedure for managing traces with more than one $\gamma_5$. \par The suggested procedure obeys Lorentz covariance and cyclicity, at variance with previous approaches (e.g. the celebrated 't Hooft and Veltman's where Lorentz is violated) \par The result of the present paper is a further step forward in the program initiated by a previous work on the traces involving a single $\gamma_5$. The final goal is an unconstrained definition of $\gamma_5$ in dimensional regularization. Here, in the evaluation of the anomaly, we profit of the axial current conservation equation, when radiative corrections are neglected. This kind of tool is not always exploited in field theories with $\gamma_5$, e.g. in the use of dimensional regularization of infrared and collinear divergences.

[ { "created": "Wed, 25 Mar 2015 15:04:32 GMT", "version": "v1" } ]

2016-12-21

[ [ "Ferrari", "Ruggero", "" ] ]

In the present paper we evaluate the anomaly for the abelian axial current in a non abelian chiral gauge theory, by using dimensional regularization. This amount to formulate a procedure for managing traces with more than one $\gamma_5$. \par The suggested procedure obeys Lorentz covariance and cyclicity, at variance with previous approaches (e.g. the celebrated 't Hooft and Veltman's where Lorentz is violated) \par The result of the present paper is a further step forward in the program initiated by a previous work on the traces involving a single $\gamma_5$. The final goal is an unconstrained definition of $\gamma_5$ in dimensional regularization. Here, in the evaluation of the anomaly, we profit of the axial current conservation equation, when radiative corrections are neglected. This kind of tool is not always exploited in field theories with $\gamma_5$, e.g. in the use of dimensional regularization of infrared and collinear divergences.

11.655441

11.905622

11.86252

11.092577

13.036232

12.217996

11.978905

11.896477

11.447374

12.455069

11.037508

11.375396

11.470613

11.040423

11.288147

11.52517

11.477285

11.17099

11.275242

11.680243

11.155793

1002.0062

Ioannis Bakas

Ioannis Bakas, Francois Bourliot, Dieter Lust, Marios Petropoulos

Geometric flows in Horava-Lifshitz gravity

67 pages, 16 figures; more solutions found, 1 extra figure, 1 more reference added in v2; minor typos corrected in v3 (to appear in JHEP); an acknowledgement added in v4

null

10.1007/JHEP04(2010)131

CPHT-RR078.0709, MPP-2009-179, LMU-ASC 47/09

hep-th gr-qc math.DG

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

We consider instanton solutions of Euclidean Horava-Lifshitz gravity in four dimensions satisfying the detailed balance condition. They are described by geometric flows in three dimensions driven by certain combinations of the Cotton and Ricci tensors as well as the cosmological-constant term. The deformation curvature terms can have competing behavior leading to a variety of fixed points. The instantons interpolate between any two fixed points, which are vacua of topologically massive gravity with Lambda > 0, and their action is finite. Special emphasis is placed on configurations with SU(2) isometry associated with homogeneous but generally non-isotropic Bianchi IX model geometries. In this case, the combined Ricci-Cotton flow reduces to an autonomous system of ordinary differential equations whose properties are studied in detail for different couplings. The occurrence and stability of isotropic and anisotropic fixed points are investigated analytically and some exact solutions are obtained. The corresponding instantons are classified and they are all globally R x S^3 and complete spaces. Generalizations to higher-dimensional gravities are also briefly discussed.

[ { "created": "Sat, 30 Jan 2010 11:56:00 GMT", "version": "v1" }, { "created": "Wed, 24 Feb 2010 20:20:12 GMT", "version": "v2" }, { "created": "Tue, 6 Apr 2010 17:01:12 GMT", "version": "v3" }, { "created": "Thu, 7 Apr 2011 08:53:57 GMT", "version": "v4" } ]

2015-05-18

[ [ "Bakas", "Ioannis", "" ], [ "Bourliot", "Francois", "" ], [ "Lust", "Dieter", "" ], [ "Petropoulos", "Marios", "" ] ]

We consider instanton solutions of Euclidean Horava-Lifshitz gravity in four dimensions satisfying the detailed balance condition. They are described by geometric flows in three dimensions driven by certain combinations of the Cotton and Ricci tensors as well as the cosmological-constant term. The deformation curvature terms can have competing behavior leading to a variety of fixed points. The instantons interpolate between any two fixed points, which are vacua of topologically massive gravity with Lambda > 0, and their action is finite. Special emphasis is placed on configurations with SU(2) isometry associated with homogeneous but generally non-isotropic Bianchi IX model geometries. In this case, the combined Ricci-Cotton flow reduces to an autonomous system of ordinary differential equations whose properties are studied in detail for different couplings. The occurrence and stability of isotropic and anisotropic fixed points are investigated analytically and some exact solutions are obtained. The corresponding instantons are classified and they are all globally R x S^3 and complete spaces. Generalizations to higher-dimensional gravities are also briefly discussed.

10.280695

10.836621

11.345829

9.820197

10.874966

11.016769

10.404679

10.009713

10.582484

12.565943

10.061743

10.297502

10.744023

10.068793

10.065327

10.423457

10.055555

10.167944

10.20098

10.81247

10.208006

hep-th/9912262

Katsumi Itoh

Yuji Igarashi, Katsumi Itoh and Hiroto So

Exact Symmetries realized on the Renormalized Group Flow

Latex, 10 pages

Phys.Lett. B479 (2000) 336-342

10.1016/S0370-2693(00)00305-1

NIIG-DP-99-2

hep-th

null

We show that symmetries are preserved exactly along the (Wilsonian) renormalization group flow, though the IR cutoff deforms concrete forms of the transformations. For a gauge theory the cutoff dependent Ward-Takahashi identity is written as the master equation in the antifield formalism: one may read off the renormalized BRS transformation from the master equation. The Maxwell theory is studied explicitly to see how it works. The renormalized BRS transformation becomes non-local but keeps off-shell nilpotency. Our formalism is applicable for a generic global symmetry. The master equation considered for the chiral symmetry provides us with the continuum analog of the Ginsparg-Wilson relation and the L{\" u}scher's symmetry.

[ { "created": "Tue, 28 Dec 1999 09:59:02 GMT", "version": "v1" }, { "created": "Fri, 14 Jan 2000 13:02:02 GMT", "version": "v2" } ]

2009-10-31

[ [ "Igarashi", "Yuji", "" ], [ "Itoh", "Katsumi", "" ], [ "So", "Hiroto", "" ] ]

We show that symmetries are preserved exactly along the (Wilsonian) renormalization group flow, though the IR cutoff deforms concrete forms of the transformations. For a gauge theory the cutoff dependent Ward-Takahashi identity is written as the master equation in the antifield formalism: one may read off the renormalized BRS transformation from the master equation. The Maxwell theory is studied explicitly to see how it works. The renormalized BRS transformation becomes non-local but keeps off-shell nilpotency. Our formalism is applicable for a generic global symmetry. The master equation considered for the chiral symmetry provides us with the continuum analog of the Ginsparg-Wilson relation and the L{\" u}scher's symmetry.

12.930226

12.624294

14.610275

12.075096

12.319214

12.807741

12.57172

11.564765

11.671824

13.889331

12.08197

12.5461

12.751459

12.268567

12.324584

12.03479

12.783549

12.046002

12.559224

13.280149

12.174309

1107.3334

Giovanni Amelino-Camelia

Giovanni Amelino-Camelia, Leonardo Barcaroli, Niccol\'o Loret

Modeling transverse relative locality

LaTex, 13 pages

null

10.1007/s10773-012-1216-5

null

hep-th gr-qc

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

We investigate some aspects of relativistic classical theories with "relative locality", in which pairs of events established to be coincident by nearby observers may be described as non-coincident by distant observers. While previous studies focused mainly on the case of longitudinal relative locality, where the effect occurs along the direction connecting the distant observer to the events, we here focus on transverse relative locality, in which instead the effect is found in a direction orthogonal to the one connecting the distant observer to the events. Our findings suggest that, at least for theories of free particles such as the one in arXiv:1006.2126, transverse relative locality is as significant as longitudinal relative locality both conceptually and quantitatively. And we observe that "dual gravity lensing", first discussed in arXiv:1103.5626, can be viewed as one of two components of transverse relative locality. We also speculate about a type of spacetime noncommutativity for which transverse relative locality could be particularly significant.

[ { "created": "Sun, 17 Jul 2011 21:01:25 GMT", "version": "v1" } ]

2012-09-20

[ [ "Amelino-Camelia", "Giovanni", "" ], [ "Barcaroli", "Leonardo", "" ], [ "Loret", "Niccoló", "" ] ]

We investigate some aspects of relativistic classical theories with "relative locality", in which pairs of events established to be coincident by nearby observers may be described as non-coincident by distant observers. While previous studies focused mainly on the case of longitudinal relative locality, where the effect occurs along the direction connecting the distant observer to the events, we here focus on transverse relative locality, in which instead the effect is found in a direction orthogonal to the one connecting the distant observer to the events. Our findings suggest that, at least for theories of free particles such as the one in arXiv:1006.2126, transverse relative locality is as significant as longitudinal relative locality both conceptually and quantitatively. And we observe that "dual gravity lensing", first discussed in arXiv:1103.5626, can be viewed as one of two components of transverse relative locality. We also speculate about a type of spacetime noncommutativity for which transverse relative locality could be particularly significant.

8.00952

9.295916

9.421633

8.184206

9.037459

9.289487

9.554548

8.690011

8.791097

9.506505

8.62138

8.31895

8.522346

8.115967

8.103143

8.363491

8.087712

8.348245

8.308335

8.768119

8.029058

hep-th/9601015

Dirk Schlingemann

On the Algebraic Theory of Soliton and Antisoliton Sectors

33pp, latex2e. to appear in Rev. Math. Phys

Rev.Math.Phys. 8 (1996) 301-326

10.1142/S0129055X96000111

DESY 95-012

hep-th

null

We consider the properties of massive one particle states on a translation covariant Haag-Kastler net in Minkowski space. In two dimensional theories, these states can be interpreted as soliton states and we are interested in the existence of antisolitons. It is shown that for each soliton state there are three different possibilities for the construction of an antisoliton sector which are equivalent if the (statistical) dimension of the corresponding soliton sector is finite.

[ { "created": "Fri, 5 Jan 1996 09:51:34 GMT", "version": "v1" } ]

2015-06-26

[ [ "Schlingemann", "Dirk", "" ] ]

We consider the properties of massive one particle states on a translation covariant Haag-Kastler net in Minkowski space. In two dimensional theories, these states can be interpreted as soliton states and we are interested in the existence of antisolitons. It is shown that for each soliton state there are three different possibilities for the construction of an antisoliton sector which are equivalent if the (statistical) dimension of the corresponding soliton sector is finite.

9.67073

11.041619

10.212079

9.395265

8.603924

9.951113

10.150009

10.194267

9.156595

11.710381

10.416925

9.748202

10.064329

9.477582

9.425845

9.649341

9.266961

9.782849

9.827529

9.95687

9.469966

2005.08471

Takuya Kanazawa

Chiral random matrix theory for colorful quark-antiquark condensates

9 pages, 1 figure

Phys. Rev. D 102, 014002 (2020)

10.1103/PhysRevD.102.014002

null

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

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

In QCD at high density, the color-octet quark-antiquark condensate $\langle\overline\psi\gamma_0(\lambda^A)_C (\lambda^A)_F\psi\rangle$ is generally nonzero and dynamically breaks the $\mathrm{SU}(3)_C\times \mathrm{SU}(3)_L\times\mathrm{SU}(3)_R$ symmetry down to the diagonal $\mathrm{SU}(3)_V$. We evaluate this condensate in the mean-field approximation and find that it is of order $\mu\Delta^2\log(\mu/\Delta)$ where $\Delta$ is the BCS gap of quarks. Next we propose a novel non-Hermitian chiral random matrix theory that describes the formation of colorful quark-antiquark condensates. We take the microscopic large-$N$ limit and find that three phases appear depending on the parameter of the model. They are the color-flavor locked phase, the polar phase, and the normal phase. We rigorously derive the effective theory of Nambu-Goldstone modes and determine the quark-mass dependence of the partition function.

[ { "created": "Mon, 18 May 2020 06:17:30 GMT", "version": "v1" } ]

2020-07-02

[ [ "Kanazawa", "Takuya", "" ] ]

In QCD at high density, the color-octet quark-antiquark condensate $\langle\overline\psi\gamma_0(\lambda^A)_C (\lambda^A)_F\psi\rangle$ is generally nonzero and dynamically breaks the $\mathrm{SU}(3)_C\times \mathrm{SU}(3)_L\times\mathrm{SU}(3)_R$ symmetry down to the diagonal $\mathrm{SU}(3)_V$. We evaluate this condensate in the mean-field approximation and find that it is of order $\mu\Delta^2\log(\mu/\Delta)$ where $\Delta$ is the BCS gap of quarks. Next we propose a novel non-Hermitian chiral random matrix theory that describes the formation of colorful quark-antiquark condensates. We take the microscopic large-$N$ limit and find that three phases appear depending on the parameter of the model. They are the color-flavor locked phase, the polar phase, and the normal phase. We rigorously derive the effective theory of Nambu-Goldstone modes and determine the quark-mass dependence of the partition function.

5.364846

6.141619

5.437672

5.260558

6.350271

6.131685

5.959954

5.394194

5.064045

5.857337

5.679507

5.476147

5.200481

5.304698

5.551461

5.541589

5.646799

5.373683

5.368206

5.400099

5.199012

1511.05991

Catherine Whiting A

Leopoldo A. Pando Zayas, Vincent G. J. Rodgers and Catherine A. Whiting

Supergravity Solutions with $AdS_4$ from Non-Abelian T-Dualities

50 pages

null

MCTP-15-19

hep-th

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

We present a large class of new backgrounds that are solutions of type II supergravity with a warped AdS${}_4$ factor, non-trivial axion-dilaton, B-field, and three- and five-form Ramond-Ramond fluxes. We obtain these solutions by applying non-Abelian T-dualities with respect to SU(2) or SU(2)/U(1) isometries to reductions to 10d IIA of 11d sugra solutions of the form AdS${}_4 \times Y^7$, with $Y^7 = S^7/\mathbb{Z}_k, S^7, M^{1,1,1}, Q^{1,1,1}$ and $N(1,1)$. The main class of reductions to IIA is along the Hopf fiber and leads to solutions of the form $AdS_4 \times K_6$, where $K_6 $ is K\"ahler Einstein with $K_6=\mathbb{CP}^3, S^2\times \mathbb{CP}^2, S^2\times S^2 \times S^2$; the first member of this class is dual to the ABJM field theory in the 't Hooft limit. We also consider other less symmetric but susy preserving reductions along circles that are not the Hopf fiber. In the case of $N(1,1)$ we find an additional breaking of isometries in the NAT-dual background. To initiate the study of some properties of the field theory dual, we explicitly compute the central charge holographically.

[ { "created": "Wed, 18 Nov 2015 21:46:12 GMT", "version": "v1" }, { "created": "Sat, 5 Dec 2015 14:54:51 GMT", "version": "v2" }, { "created": "Wed, 27 Jan 2016 20:39:44 GMT", "version": "v3" } ]

2016-01-28

[ [ "Zayas", "Leopoldo A. Pando", "" ], [ "Rodgers", "Vincent G. J.", "" ], [ "Whiting", "Catherine A.", "" ] ]

We present a large class of new backgrounds that are solutions of type II supergravity with a warped AdS${}_4$ factor, non-trivial axion-dilaton, B-field, and three- and five-form Ramond-Ramond fluxes. We obtain these solutions by applying non-Abelian T-dualities with respect to SU(2) or SU(2)/U(1) isometries to reductions to 10d IIA of 11d sugra solutions of the form AdS${}_4 \times Y^7$, with $Y^7 = S^7/\mathbb{Z}_k, S^7, M^{1,1,1}, Q^{1,1,1}$ and $N(1,1)$. The main class of reductions to IIA is along the Hopf fiber and leads to solutions of the form $AdS_4 \times K_6$, where $K_6 $ is K\"ahler Einstein with $K_6=\mathbb{CP}^3, S^2\times \mathbb{CP}^2, S^2\times S^2 \times S^2$; the first member of this class is dual to the ABJM field theory in the 't Hooft limit. We also consider other less symmetric but susy preserving reductions along circles that are not the Hopf fiber. In the case of $N(1,1)$ we find an additional breaking of isometries in the NAT-dual background. To initiate the study of some properties of the field theory dual, we explicitly compute the central charge holographically.

5.14641

5.247174

6.704399

4.794408

5.258158

5.10427

5.015116

5.159578

5.089734

7.105027

5.037909

4.870319

5.579676

4.912069

4.840552

4.972779

4.865234

5.02142

4.898486

5.827198

4.919673

hep-th/9411144

Vyjayanthi Chari

V. Chari

Minimal Affinizations of Representations of quantum groups: the U_q(g)--module structure

17 pages

null

hep-th math.QA q-alg

null

We describe the underlying U_q(g)--module structure of representations of quantum affine algebras.

[ { "created": "Fri, 18 Nov 1994 21:23:52 GMT", "version": "v1" } ]

2008-02-03

[ [ "Chari", "V.", "" ] ]

We describe the underlying U_q(g)--module structure of representations of quantum affine algebras.

35.493073

15.672201

37.436432

19.110086

21.517136

13.501681

19.404726

12.232097

19.203302

36.753239

17.338966

16.496899

39.188053

21.56698

17.894114

18.748102

18.471813

18.909557

21.118383

35.045929

18.385214

hep-th/9912261

Takao Suyama

Intersecting Branes and Generalized Vortices

10 pages

null

OU-HET-339

hep-th

null

We construct the effective theory of intersecting branes and investigate the BPS monopoles in the theory. The monopoles obtained are the generalization of Nielsen-Olesen vortex. We study the properties of the solutions and interpret them as the D0-branes on the brane-intersections.

[ { "created": "Tue, 28 Dec 1999 09:46:59 GMT", "version": "v1" } ]

2007-05-23

[ [ "Suyama", "Takao", "" ] ]

We construct the effective theory of intersecting branes and investigate the BPS monopoles in the theory. The monopoles obtained are the generalization of Nielsen-Olesen vortex. We study the properties of the solutions and interpret them as the D0-branes on the brane-intersections.

10.178514

8.410148

9.933947

7.887541

8.057656

7.070889

7.874603

8.486207

7.821344

11.365715

8.036613

8.218042

9.269506

8.512081

8.420921

8.167168

8.113557

8.58596

8.33787

9.201095

8.084597

1706.04925

Radu Tatar

From N=2 in four dimensions to (0,2) in two dimensions

18 Pages, Latex, v2 references added

Phys. Rev. D 96, 066022 (2017)

10.1103/PhysRevD.96.066022

LTH/1135

hep-th

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

We consider N=2 four dimensional field theories compactified on a two torus in the presence of a U(1) magnetic field. We discuss the restrictions leading to theories with (2,2) supersymmetry or (0,2) supersymmetry in two dimensions. The field theories live on D5 branes wrapped on four cycles of Calabi-Yau 3-folds or 4-folds described as resolved ADE singularities or resolved conifold fibered over a two torus.

[ { "created": "Thu, 15 Jun 2017 15:26:07 GMT", "version": "v1" }, { "created": "Mon, 10 Jul 2017 10:23:04 GMT", "version": "v2" } ]

2017-09-27

[ [ "Tatar", "Radu", "" ] ]

We consider N=2 four dimensional field theories compactified on a two torus in the presence of a U(1) magnetic field. We discuss the restrictions leading to theories with (2,2) supersymmetry or (0,2) supersymmetry in two dimensions. The field theories live on D5 branes wrapped on four cycles of Calabi-Yau 3-folds or 4-folds described as resolved ADE singularities or resolved conifold fibered over a two torus.

6.366398

5.858123

7.440588

5.630999

5.722639

5.823383

6.142088

6.083687

5.826528

7.763221

6.069453

6.022295

6.915316

5.983333

6.099049

5.931619

5.934153

6.06456

6.036714

6.84143

5.894825

hep-th/0509158

Michael Ratz

Oscar Loaiza-Brito, Johannes Martin, Hans Peter Nilles, Michael Ratz

log(M_Pl/m_3/2)

Based on talks given at PLANCK05, Trieste, Italy and PASCOS05, Gyeongju, Korea

null

10.1063/1.2149698

null

hep-th hep-ph

null

Flux compactifications of string theory seem to require the presence of a fine-tuned constant in the superpotential. We discuss a scheme where this constant is replaced by a dynamical quantity which we argue to be a `continuous Chern--Simons term'. In such a scheme, the gaugino condensate generates the hierarchically small scale of supersymmetry breakdown rather than adjusting its size to a constant. A crucial ingredient is the appearance of the hierarchically small quantity exp(-<X>) which corresponds to the scale of gaugino condensation. Under rather general circumstances, this leads to a scenario of moduli stabilization, which is endowed with a hierarchy between the mass of the lightest modulus, the gravitino mass and the scale of the soft terms, m_modulus ~ <X> m_3/2 ~ <X>^2 m_soft. The `little hierarchy' <X> is given by the logarithm of the ratio of the Planck scale and the gravitino mass, <X> ~ log(M_Pl/m_3/2) ~ 4pi^2. This exhibits a new mediation scheme of supersymmetry breakdown, called mirage mediation. We highlight the special properties of the scheme, and their consequences for phenomenology and cosmology.

[ { "created": "Tue, 20 Sep 2005 20:08:27 GMT", "version": "v1" } ]

2009-11-11

[ [ "Loaiza-Brito", "Oscar", "" ], [ "Martin", "Johannes", "" ], [ "Nilles", "Hans Peter", "" ], [ "Ratz", "Michael", "" ] ]

Flux compactifications of string theory seem to require the presence of a fine-tuned constant in the superpotential. We discuss a scheme where this constant is replaced by a dynamical quantity which we argue to be a `continuous Chern--Simons term'. In such a scheme, the gaugino condensate generates the hierarchically small scale of supersymmetry breakdown rather than adjusting its size to a constant. A crucial ingredient is the appearance of the hierarchically small quantity exp(-<X>) which corresponds to the scale of gaugino condensation. Under rather general circumstances, this leads to a scenario of moduli stabilization, which is endowed with a hierarchy between the mass of the lightest modulus, the gravitino mass and the scale of the soft terms, m_modulus ~ <X> m_3/2 ~ <X>^2 m_soft. The `little hierarchy' <X> is given by the logarithm of the ratio of the Planck scale and the gravitino mass, <X> ~ log(M_Pl/m_3/2) ~ 4pi^2. This exhibits a new mediation scheme of supersymmetry breakdown, called mirage mediation. We highlight the special properties of the scheme, and their consequences for phenomenology and cosmology.

7.295578

7.763672

7.31425

6.847628

7.030557

7.490863

7.358551

7.362221

6.699443

7.311321

6.790303

6.857533

6.781843

6.932374

6.843277

6.978254

6.870717

6.924078

6.837431

7.329126

6.909659

2201.03931

Ladislav Hlavaty

Compatibility of Poisson--Lie transformations with symmetries of Generalized Supergravity Equations

Published version

Eur. Phys. J. C (2022) 82:1070

10.1140/epjc/s10052-022-11042-0

null

hep-th

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

We investigate two types of transformations that keep NS-NS Generalized Supergravity Equations satisfied : $\chi$-symmetry that shifts dilaton and gauge transformations that change both dilaton and vector field $J$. Due to these symmetries there is a large set of dilatons and vector fields $J$ that (for a fixed metric and B-field) satisfy Generalized Supergravity Equations but only some of them can be be used as input for Poisson--Lie transformations. Conditions that define the admissible dilatons are given and examples are presented.

[ { "created": "Tue, 11 Jan 2022 13:15:54 GMT", "version": "v1" }, { "created": "Fri, 9 Dec 2022 11:36:00 GMT", "version": "v2" } ]

2022-12-12

[ [ "Hlavaty", "Ladislav", "" ] ]

We investigate two types of transformations that keep NS-NS Generalized Supergravity Equations satisfied : $\chi$-symmetry that shifts dilaton and gauge transformations that change both dilaton and vector field $J$. Due to these symmetries there is a large set of dilatons and vector fields $J$ that (for a fixed metric and B-field) satisfy Generalized Supergravity Equations but only some of them can be be used as input for Poisson--Lie transformations. Conditions that define the admissible dilatons are given and examples are presented.

14.759408

14.353503

15.629148

13.18353

14.984619

14.162334

16.11237

13.297032

13.390936

14.859851

14.338428

14.318101

13.774734

14.206738

15.204309

14.558389

13.664014

13.731989

14.178202

14.153547

14.066067

hep-th/0112192

Laura Andrianopoli

L. Andrianopoli, R. D'Auria, S. Ferrara

Consistent reduction of N=2 -> N=1 four dimensional supergravity coupled to matter

LaTeX, 16 pages

Nucl.Phys. B628 (2002) 387-403

10.1016/S0550-3213(02)00090-1

null

hep-th

null

We analyze the constraints which follow both on the geometry and on the gauge sector for a consistent supergravity reduction of a general matter-coupled N=2 supergravity theory in four dimensions. These constraints can be derived in an elegant way by looking at the fermionic sector of the theory.

[ { "created": "Thu, 20 Dec 2001 13:21:05 GMT", "version": "v1" } ]

2009-11-07

[ [ "Andrianopoli", "L.", "" ], [ "D'Auria", "R.", "" ], [ "Ferrara", "S.", "" ] ]

We analyze the constraints which follow both on the geometry and on the gauge sector for a consistent supergravity reduction of a general matter-coupled N=2 supergravity theory in four dimensions. These constraints can be derived in an elegant way by looking at the fermionic sector of the theory.

10.037756

8.205956

9.56772

8.784484

8.898011

8.100736

8.44376

8.777215

8.779825

9.584446

8.601272

9.009483

9.579363

9.012524

9.240961

9.102233

9.169535

9.204794

8.653068

9.152695

8.977545

1612.01306

Johannes Kriel Dr.

J.N. Kriel, H.W. Groenewald and F.G. Scholtz

Scattering in three-dimensional fuzzy space

12 pages, 6 figures

null

10.1103/PhysRevD.95.025003

null

hep-th

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

We develop scattering theory in a non-commutative space defined by a $su(2)$ coordinate algebra. By introducing a positive operator valued measure as a replacement for strong position measurements, we are able to derive explicit expressions for the probability current, differential and total cross-sections. We show that at low incident energies the kinematics of these expressions is identical to that of commutative scattering theory. The consequences of spacial non-commutativity are found to be more pronounced at the dynamical level where, even at low incident energies, the phase shifts of the partial waves can deviate strongly from commutative results. This is demonstrated for scattering from a spherical well. The impact of non-commutativity on the well's spectrum and on the properties of its bound and scattering states are considered in detail. It is found that for sufficiently large well-depths the potential effectively becomes repulsive and that the cross-section tends towards that of hard sphere scattering. This can occur even at low incident energies when the particle's wave-length inside the well becomes comparable to the non-commutative length-scale.

[ { "created": "Mon, 5 Dec 2016 11:03:04 GMT", "version": "v1" } ]

2017-02-01

[ [ "Kriel", "J. N.", "" ], [ "Groenewald", "H. W.", "" ], [ "Scholtz", "F. G.", "" ] ]

We develop scattering theory in a non-commutative space defined by a $su(2)$ coordinate algebra. By introducing a positive operator valued measure as a replacement for strong position measurements, we are able to derive explicit expressions for the probability current, differential and total cross-sections. We show that at low incident energies the kinematics of these expressions is identical to that of commutative scattering theory. The consequences of spacial non-commutativity are found to be more pronounced at the dynamical level where, even at low incident energies, the phase shifts of the partial waves can deviate strongly from commutative results. This is demonstrated for scattering from a spherical well. The impact of non-commutativity on the well's spectrum and on the properties of its bound and scattering states are considered in detail. It is found that for sufficiently large well-depths the potential effectively becomes repulsive and that the cross-section tends towards that of hard sphere scattering. This can occur even at low incident energies when the particle's wave-length inside the well becomes comparable to the non-commutative length-scale.

8.028947

9.190654

8.566609

7.432175

8.655812

8.53643

8.317349

8.554854

7.481858

8.773882

8.08844

7.502653

7.630487

7.681573

7.649351

7.547705

7.506322

7.660049

7.6156

7.82882

7.361567

hep-th/9811058

Marco Cavagli\`a

Marco Cavaglia

Geometrodynamical Formulation of Two-Dimensional Dilaton Gravity and the Quantum Birkhoff Theorem

6 pages, LATEX, invited talk at the 11th International Conference on Problems of Quantum Field Theory, July 13-17, 1998, Dubna, Russia

null

hep-th gr-qc

null

General two-dimensional pure dilaton-gravity can be discussed in a unitary way by introducing suitable field redefinitions. The new fields are directly related to the original spacetime geometry and in the canonical picture they generalize the well-known geometrodynamical variables used in the discussion of the vacuum dilatonic black hole. So the model can be quantized using the techniques developed for the latter case. The resulting quantum theory coincides with the quantum theory obtained imposing the Birkhoff theorem at the classical level.

[ { "created": "Fri, 6 Nov 1998 09:56:59 GMT", "version": "v1" } ]

2007-05-23

[ [ "Cavaglia", "Marco", "" ] ]

General two-dimensional pure dilaton-gravity can be discussed in a unitary way by introducing suitable field redefinitions. The new fields are directly related to the original spacetime geometry and in the canonical picture they generalize the well-known geometrodynamical variables used in the discussion of the vacuum dilatonic black hole. So the model can be quantized using the techniques developed for the latter case. The resulting quantum theory coincides with the quantum theory obtained imposing the Birkhoff theorem at the classical level.

13.482149

9.794918

11.832639

10.403689

9.392707

9.499431

9.981175

10.424364

10.457427

11.855461

10.831458

11.625285

11.664954

11.109732

11.140279

11.62296

11.451783

11.317877

11.419319

11.365044

11.615899

1208.1699

Ramond

Dmitry Belyaev, Patrick Hearin, and Pierre Ramond

The $\mathcal {OSP}(2,2|16)$ superconformal theory is free!

14 pages

null

10.1007/JHEP11(2012)078

null

hep-th

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

The SuperConformal theory in three space-time dimensions with SO(16) $R$-symmetry, 128 bosons, and 128 fermions, cannot sustain interactions. This result is obtained using both light-cone superspace techniques which rely on algebraic consistency, and covariant methods which rely on SO(16) Fierz identities which fail to produce the desired algebra.

[ { "created": "Wed, 8 Aug 2012 15:59:40 GMT", "version": "v1" } ]

2015-06-11

[ [ "Belyaev", "Dmitry", "" ], [ "Hearin", "Patrick", "" ], [ "Ramond", "Pierre", "" ] ]

The SuperConformal theory in three space-time dimensions with SO(16) $R$-symmetry, 128 bosons, and 128 fermions, cannot sustain interactions. This result is obtained using both light-cone superspace techniques which rely on algebraic consistency, and covariant methods which rely on SO(16) Fierz identities which fail to produce the desired algebra.

17.215258

15.012119

18.144411

14.021918

15.929193

15.121364

14.213679

13.079466

13.21984

18.53606

12.898854

14.699568

15.327215

14.326584

15.868188

15.26777

15.232015

14.343152

14.097051

16.020731

14.052631

1001.4458

Jos\'e Roberto Vidal Madrid

Enrique \'Alvarez, Roberto Vidal

Weyl transverse gravity (WTDiff) and the cosmological constant

11 pages

Phys.Rev.D81:084057,2010

10.1103/PhysRevD.81.084057

IFT-UAM/CSIC-10-01 FTUAM-10-01

hep-th

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

Scale invariant (transverse) gravitational theories are introduced. They are invariant under pure metric rescalings (i.e. the matter fields are inert under those). This symmetry forbids the presence of a cosmological constant. Those theories are not invariant under the full set of diffeomorphisms, but only with respect to those locally characterized by the fact that their generator is transverse $\pd_\a \xi^\a=0$.

[ { "created": "Mon, 25 Jan 2010 15:24:15 GMT", "version": "v1" } ]

2011-01-24

[ [ "Álvarez", "Enrique", "" ], [ "Vidal", "Roberto", "" ] ]

Scale invariant (transverse) gravitational theories are introduced. They are invariant under pure metric rescalings (i.e. the matter fields are inert under those). This symmetry forbids the presence of a cosmological constant. Those theories are not invariant under the full set of diffeomorphisms, but only with respect to those locally characterized by the fact that their generator is transverse $\pd_\a \xi^\a=0$.

12.947999

10.959886

10.939958

10.893587

10.34448

12.481819

10.839283

11.549583

10.383743

12.00192

11.668501

10.615226

10.921786

10.904668

10.678437

10.770193

11.459193

10.67065

11.312659

11.050895

10.948708

1802.02968

Loriano Bonora

L.Bonora, M. Cvitan, P. Dominis Prester, S. Giaccari, M. Paulisic, T. Stemberga

Worldline quantization of field theory, effective actions and $L_\infty$ structure

23 pages, several minor corrections added

null

SISSA/03/2018/FISI

hep-th

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

We formulate the worldline quantization of a massive fermion model coupled to external higher spin sources. We use the relations obtained in this way to show that its regularized effective action is endowed with an $L_\infty$ symmetry. The same result holds also for a massive scalar model.

[ { "created": "Thu, 8 Feb 2018 17:20:49 GMT", "version": "v1" }, { "created": "Thu, 22 Feb 2018 04:17:29 GMT", "version": "v2" }, { "created": "Fri, 11 May 2018 07:25:21 GMT", "version": "v3" } ]

2018-05-14

[ [ "Bonora", "L.", "" ], [ "Cvitan", "M.", "" ], [ "Prester", "P. Dominis", "" ], [ "Giaccari", "S.", "" ], [ "Paulisic", "M.", "" ], [ "Stemberga", "T.", "" ] ]

We formulate the worldline quantization of a massive fermion model coupled to external higher spin sources. We use the relations obtained in this way to show that its regularized effective action is endowed with an $L_\infty$ symmetry. The same result holds also for a massive scalar model.

17.800762

12.57851

16.02062

13.547644

14.111537

13.772203

13.438655

12.437501

13.556478

17.648024

13.488618

13.673015

15.000101

13.819901

13.357547

13.329386

13.197679

13.398329

13.71509

14.99177

13.622569

hep-th/0506247

Micha{\l} Spali\'nski

Michal Spalinski

Some half-BPS solutions of M-theory

Typos fixed, reference added

Phys.Lett. B634 (2006) 315-318

10.1016/j.physletb.2006.01.068

null

hep-th

null

It was recently shown that half BPS-solutions of M-theory can be expressed in terms of a single function satisfying the 3-d continuum Toda equation. In this note half-BPS solutions corresponding to separable solutions of the Toda equations are examined.

[ { "created": "Wed, 29 Jun 2005 16:01:46 GMT", "version": "v1" }, { "created": "Fri, 10 Feb 2006 12:35:24 GMT", "version": "v2" } ]

2009-11-11

[ [ "Spalinski", "Michal", "" ] ]

It was recently shown that half BPS-solutions of M-theory can be expressed in terms of a single function satisfying the 3-d continuum Toda equation. In this note half-BPS solutions corresponding to separable solutions of the Toda equations are examined.

13.253756

9.620994

13.369486

9.793554

10.680567

9.454357

8.868123

9.370493

9.522231

13.571259

9.427232

10.159754

10.535996

10.449594

9.770303

9.383086

9.469005

9.734165

10.396976

11.036489

9.760096

hep-th/0401038

Keiichi Nagao

Takehiro Azuma, Subrata Bal (Kyoto U.), Keiichi Nagao, Jun Nishimura (KEK, Tsukuba)

Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term

Latex 37 pages, 13 figures, discussion on instabilities refined, references added, typo corrected, the final version to appear in JHEP

JHEP 0405 (2004) 005

10.1088/1126-6708/2004/05/005

KUNS-1883, KEK-TH-929

hep-th hep-lat

null

Fuzzy spheres appear as classical solutions in a matrix model obtained via dimensional reduction of 3-dimensional Yang-Mills theory with the Chern-Simons term. Well-defined perturbative expansion around these solutions can be formulated even for finite matrix size, and in the case of $k$ coincident fuzzy spheres it gives rise to a regularized U($k$) gauge theory on a noncommutative geometry. Here we study the matrix model nonperturbatively by Monte Carlo simulation. The system undergoes a first order phase transition as we change the coefficient ($\alpha$) of the Chern-Simons term. In the small $\alpha$ phase, the large $N$ properties of the system are qualitatively the same as in the pure Yang-Mills model ($\alpha =0$), whereas in the large $\alpha$ phase a single fuzzy sphere emerges dynamically. Various `multi fuzzy spheres' are observed as meta-stable states, and we argue in particular that the $k$ coincident fuzzy spheres cannot be realized as the true vacuum in this model even in the large $N$ limit. We also perform one-loop calculations of various observables for arbitrary $k$ including $k=1$. Comparison with our Monte Carlo data suggests that higher order corrections are suppressed in the large $N$ limit.

[ { "created": "Wed, 7 Jan 2004 16:50:45 GMT", "version": "v1" }, { "created": "Mon, 23 Feb 2004 08:50:47 GMT", "version": "v2" }, { "created": "Wed, 19 May 2004 14:46:04 GMT", "version": "v3" } ]

2009-11-10

[ [ "Azuma", "Takehiro", "", "Kyoto U." ], [ "Bal", "Subrata", "", "Kyoto U." ], [ "Nagao", "Keiichi", "", "KEK, Tsukuba" ], [ "Nishimura", "Jun", "", "KEK, Tsukuba" ] ]

Fuzzy spheres appear as classical solutions in a matrix model obtained via dimensional reduction of 3-dimensional Yang-Mills theory with the Chern-Simons term. Well-defined perturbative expansion around these solutions can be formulated even for finite matrix size, and in the case of $k$ coincident fuzzy spheres it gives rise to a regularized U($k$) gauge theory on a noncommutative geometry. Here we study the matrix model nonperturbatively by Monte Carlo simulation. The system undergoes a first order phase transition as we change the coefficient ($\alpha$) of the Chern-Simons term. In the small $\alpha$ phase, the large $N$ properties of the system are qualitatively the same as in the pure Yang-Mills model ($\alpha =0$), whereas in the large $\alpha$ phase a single fuzzy sphere emerges dynamically. Various `multi fuzzy spheres' are observed as meta-stable states, and we argue in particular that the $k$ coincident fuzzy spheres cannot be realized as the true vacuum in this model even in the large $N$ limit. We also perform one-loop calculations of various observables for arbitrary $k$ including $k=1$. Comparison with our Monte Carlo data suggests that higher order corrections are suppressed in the large $N$ limit.

6.080796

5.809243

6.407943

5.628915

5.951835

5.766352

5.89211

5.550179

5.731663

6.949569

5.975139

5.731084

5.815974

5.626837

5.655381

5.635563

5.679581

5.616045

5.648068

5.788017

5.828948

hep-th/0006200

Myriam Mondragon

G. German (1), A. de la Macorra (2) and M. Mondragon (2) ((1) Centro de Ciencias Fisicas, Nat. Univ. Mexico, (2) Inst. Fisica, Nat. Univ. Mexico)

Low-scale supergravity inflation with R-symmetry

11 pages, 3 figures; added discussion and references in section 2; corrected Eqs. 24 and 26; minor corrections in the table and figures; one fig. added in section 1. Accepted for publication in Physics Letters B

Phys.Lett. B494 (2000) 311-317

10.1016/S0370-2693(00)01212-0

IFUNAM-FT00-02

hep-th

null

We study a supergravity model of inflation with R-symmetry and a single scalar field, the inflaton, slowly rolling away from the origin. The scales of inflation can be as low as the supersymmetry breaking scale of 10^10 GeV or even the electroweak scale of 10^3 GeV which could be relevant in the context of theories with submillimiter dimensions. Exact analytical solutions are presented and a comparison with related models is given.

[ { "created": "Mon, 26 Jun 2000 18:06:22 GMT", "version": "v1" }, { "created": "Tue, 7 Nov 2000 19:00:01 GMT", "version": "v2" } ]

2009-10-31

[ [ "German", "G.", "" ], [ "de la Macorra", "A.", "" ], [ "Mondragon", "M.", "" ] ]

We study a supergravity model of inflation with R-symmetry and a single scalar field, the inflaton, slowly rolling away from the origin. The scales of inflation can be as low as the supersymmetry breaking scale of 10^10 GeV or even the electroweak scale of 10^3 GeV which could be relevant in the context of theories with submillimiter dimensions. Exact analytical solutions are presented and a comparison with related models is given.

9.005117

7.393446

8.794171

7.844928

7.797794

8.263825

8.297001

8.199133

8.0178

8.251858

8.237956

8.51385

8.404284

8.329874

8.076013

8.92322

8.363403

8.189306

8.339397

8.978637

8.141942

hep-th/9703178

Dmitri Fursaev

V.P. Frolov and D.V. Fursaev

Mechanism of Generation of Black Hole Entropy in Sakharov's Induced Gravity

28 pages, Latex file

Phys.Rev.D56:2212-2225,1997

10.1103/PhysRevD.56.2212

Alberta-Thy 07-97

hep-th

null

The mechanism of generation of the Bekenstein-Hawking entropy $S^{BH}$ of a black hole in the Sakharov's induced gravity is proposed. It is suggested that the "physical" degrees of freedom, which explain the entropy $S^{BH}$, form only a finite subset of the standard Rindler-like modes defined outside the black hole horizon. The entropy $S_R$ of the Rindler modes, or entanglement entropy, is always ultraviolet divergent, while the entropy of the "physical" modes is finite and it coincides in the induced gravity with $S^{BH}$. The two entropies $S^{BH}$ and $S_R$ differ by a surface integral Q interpreted as a Noether charge of non-minimally coupled scalar constituents of the model. We demonstrate that energy E and Hamiltonian H of the fields localized in a part of space-time, restricted by the Killing horizon $\Sigma$, differ by the quantity $T_H Q$, where $T_H$ is the temperature of a black hole. The first law of the black hole thermodynamics enables one to relate the probability distribution of fluctuations of the black hole mass, caused by the quantum fluctuations of the fields, to the probability distribution of "physical" modes over energy E. The latter turns out to be different from the distribution of the Rindler modes. We show that the probability distribution of the "physical" degrees of freedom has a sharp peak at E=0 with the width proportional to the Planck mass. The logarithm of number of "physical" states at the peak coincides exactly with the black hole entropy $S^{BH}$. It enables us to argue that the energy distribution of the "physical" modes and distribution of the black hole mass are equivalent in the induced gravity. Finally it is shown that the Noether charge Q is related to the entropy of the low frequency modes propagating in the vicinity of the bifurcation surface $\Sigma$ of the horizon.

[ { "created": "Tue, 25 Mar 1997 21:07:15 GMT", "version": "v1" } ]

2011-09-09

[ [ "Frolov", "V. P.", "" ], [ "Fursaev", "D. V.", "" ] ]

The mechanism of generation of the Bekenstein-Hawking entropy $S^{BH}$ of a black hole in the Sakharov's induced gravity is proposed. It is suggested that the "physical" degrees of freedom, which explain the entropy $S^{BH}$, form only a finite subset of the standard Rindler-like modes defined outside the black hole horizon. The entropy $S_R$ of the Rindler modes, or entanglement entropy, is always ultraviolet divergent, while the entropy of the "physical" modes is finite and it coincides in the induced gravity with $S^{BH}$. The two entropies $S^{BH}$ and $S_R$ differ by a surface integral Q interpreted as a Noether charge of non-minimally coupled scalar constituents of the model. We demonstrate that energy E and Hamiltonian H of the fields localized in a part of space-time, restricted by the Killing horizon $\Sigma$, differ by the quantity $T_H Q$, where $T_H$ is the temperature of a black hole. The first law of the black hole thermodynamics enables one to relate the probability distribution of fluctuations of the black hole mass, caused by the quantum fluctuations of the fields, to the probability distribution of "physical" modes over energy E. The latter turns out to be different from the distribution of the Rindler modes. We show that the probability distribution of the "physical" degrees of freedom has a sharp peak at E=0 with the width proportional to the Planck mass. The logarithm of number of "physical" states at the peak coincides exactly with the black hole entropy $S^{BH}$. It enables us to argue that the energy distribution of the "physical" modes and distribution of the black hole mass are equivalent in the induced gravity. Finally it is shown that the Noether charge Q is related to the entropy of the low frequency modes propagating in the vicinity of the bifurcation surface $\Sigma$ of the horizon.

6.136557

6.502512

6.016072

5.941888

6.335491

6.345035

6.147092

6.23938

5.864632

6.658744

5.95787

6.167349

5.936626

5.926147

5.980007

6.012142

6.068582

6.028726

5.978071

6.031806

5.994008

1311.2940

Gim Seng Ng

Tatsuo Azeyanagi, R. Loganayagam, Gim Seng Ng and Maria J. Rodriguez

Holographic Thermal Helicity

20 pages + 47 pages of appendices ; v2: minor corrections

null

10.1007/JHEP08(2014)040

null

hep-th gr-qc

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

We study the thermal helicity, defined in arXiv:1211.3850, of a conformal field theory with anomalies in the context of AdS$_{2n+1}$/CFT$_{2n}$. To do so, we consider large charged rotating AdS black holes in the Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant using fluid/gravity expansion. We compute the anomaly-induced current and stress tensor of the dual CFT in leading order of the fluid/gravity derivative expansion and show their agreement with the field theoretical replacement rule for the thermal helicity. Such replacement rule is reflected in the bulk by new replacement rules obeyed by the Hall currents around the black hole.

[ { "created": "Tue, 12 Nov 2013 21:00:06 GMT", "version": "v1" }, { "created": "Fri, 11 Jul 2014 18:37:21 GMT", "version": "v2" } ]

2015-06-17

[ [ "Azeyanagi", "Tatsuo", "" ], [ "Loganayagam", "R.", "" ], [ "Ng", "Gim Seng", "" ], [ "Rodriguez", "Maria J.", "" ] ]

We study the thermal helicity, defined in arXiv:1211.3850, of a conformal field theory with anomalies in the context of AdS$_{2n+1}$/CFT$_{2n}$. To do so, we consider large charged rotating AdS black holes in the Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant using fluid/gravity expansion. We compute the anomaly-induced current and stress tensor of the dual CFT in leading order of the fluid/gravity derivative expansion and show their agreement with the field theoretical replacement rule for the thermal helicity. Such replacement rule is reflected in the bulk by new replacement rules obeyed by the Hall currents around the black hole.

10.231163

9.923382

11.130198

8.879154

9.23357

9.155499

8.431693

9.014197

8.708794

11.056431

8.613265

9.068162

9.937904

9.208914

9.031327

9.285167

9.126464

9.158895

9.022037

10.483796

8.820417

2403.05241

Wolfgang M\"uck

Black Holes and Marchenko-Pastur Distribution

24 pages, 3 figures, v2, v3: references added, small changes

Phys. Rev. D 109, 126001 (2024)

10.1103/PhysRevD.109.126001

null

hep-th gr-qc

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

The universal eigenvalue distribution characterizing the Gram matrix of semiclassical ensembles of black hole microstates is recognized as the Marchenko-Pastur distribution, which plays a prominent role as the universal limit distribution in a large class of random matrix and vector models. It is proposed that this distribution also universally determines the energy spectral density of black holes, which allows to construct a Krylov space for the time evolution of typical black hole states and calculate their state complexity. It is checked that the state complexity growth at late times saturates Lloyd's bound. Some implications of the proposed spectral density for the generation of Hawking radiation and black hole evaporation are discussed.

[ { "created": "Fri, 8 Mar 2024 12:03:12 GMT", "version": "v1" }, { "created": "Tue, 26 Mar 2024 12:03:32 GMT", "version": "v2" }, { "created": "Tue, 2 Apr 2024 09:13:32 GMT", "version": "v3" } ]

2024-06-06

[ [ "Mück", "Wolfgang", "" ] ]

The universal eigenvalue distribution characterizing the Gram matrix of semiclassical ensembles of black hole microstates is recognized as the Marchenko-Pastur distribution, which plays a prominent role as the universal limit distribution in a large class of random matrix and vector models. It is proposed that this distribution also universally determines the energy spectral density of black holes, which allows to construct a Krylov space for the time evolution of typical black hole states and calculate their state complexity. It is checked that the state complexity growth at late times saturates Lloyd's bound. Some implications of the proposed spectral density for the generation of Hawking radiation and black hole evaporation are discussed.

13.4693

12.195101

13.8002

11.692721

11.687517

11.598821

11.266222

11.66303

11.166126

14.494452

11.274761

12.052498

13.148273

12.307521

11.776269

11.862345

12.136853

12.419994

12.102944

11.925243

11.577334

hep-th/0107082

Paola Mosconi

P. Mosconi, G. Mussardo, V. Riva

Boundary Quantum Field Theories with Infinite Resonance States

18 pages, 11 figures, LATEX file

Nucl.Phys. B621 (2002) 571-586

10.1016/S0550-3213(01)00599-5

SISSA/54/2001/FM

hep-th

null

We extend a recent work by Mussardo and Penati on integrable quantum field theories with a single stable particle and an infinite number of unstable resonance states, including the presence of a boundary. The corresponding scattering and reflection amplitudes are expressed in terms of Jacobian elliptic functions, and generalize the ones of the massive thermal Ising model and of the Sinh-Gordon model. In the case of the generalized Ising model we explicitly study the ground state energy and the one-point function of the thermal operator in the short-distance limit, finding an oscillating behaviour related to the fact that the infinite series of boundary resonances does not decouple from the theory even at very short-distance scales. The analysis of the generalized Sinh-Gordon model with boundary reveals an interesting constraint on the analytic structure of the reflection amplitude. The roaming limit procedure which leads to the Ising model, in fact, can be consistently performed only if we admit that the nature of the bulk spectrum uniquely fixes the one of resonance states on the boundary.

[ { "created": "Tue, 10 Jul 2001 16:09:32 GMT", "version": "v1" } ]

2009-11-07

[ [ "Mosconi", "P.", "" ], [ "Mussardo", "G.", "" ], [ "Riva", "V.", "" ] ]

We extend a recent work by Mussardo and Penati on integrable quantum field theories with a single stable particle and an infinite number of unstable resonance states, including the presence of a boundary. The corresponding scattering and reflection amplitudes are expressed in terms of Jacobian elliptic functions, and generalize the ones of the massive thermal Ising model and of the Sinh-Gordon model. In the case of the generalized Ising model we explicitly study the ground state energy and the one-point function of the thermal operator in the short-distance limit, finding an oscillating behaviour related to the fact that the infinite series of boundary resonances does not decouple from the theory even at very short-distance scales. The analysis of the generalized Sinh-Gordon model with boundary reveals an interesting constraint on the analytic structure of the reflection amplitude. The roaming limit procedure which leads to the Ising model, in fact, can be consistently performed only if we admit that the nature of the bulk spectrum uniquely fixes the one of resonance states on the boundary.

10.02195

9.823733

11.973802

9.896246

10.936497

10.039264

9.942509

10.083615

9.716722

12.657426

10.127427

10.096897

10.239646

9.814224

10.176857

9.791792

9.708136

9.729864

9.68138

10.318894

9.711413

0911.1435

Emmanuil Saridakis

Sourish Dutta, Emmanuel N. Saridakis

Observational constraints on Horava-Lifshitz cosmology

11 pages, 6 figures, version published in JCAP

null

10.1088/1475-7516/2010/01/013

null

hep-th astro-ph.CO gr-qc

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

We use observational data from Type Ia Supernovae (SNIa), Baryon Acoustic Oscillations (BAO), and Cosmic Microwave Background (CMB), along with requirements of Big Bang Nucleosynthesis (BBN), to constrain the cosmological scenarios governed by Horava-Lifshitz gravity. We consider both the detailed and non-detailed balance versions of the gravitational sector, and we include the matter and radiation sectors. We conclude that the detailed-balance scenario cannot be ruled out from the observational point of view, however the corresponding likelihood contours impose tight constraints on the involved parameters. The scenario beyond detailed balance is compatible with observational data, and we present the corresponding stringent constraints and contour-plots of the parameters. Although this analysis indicates that Horava-Lifshitz cosmology can be compatible with observations, it does not enlighten the discussion about its possible conceptual and theoretical problems.

[ { "created": "Mon, 9 Nov 2009 20:09:45 GMT", "version": "v1" }, { "created": "Tue, 15 Dec 2009 15:53:48 GMT", "version": "v2" } ]

2015-05-14

[ [ "Dutta", "Sourish", "" ], [ "Saridakis", "Emmanuel N.", "" ] ]

We use observational data from Type Ia Supernovae (SNIa), Baryon Acoustic Oscillations (BAO), and Cosmic Microwave Background (CMB), along with requirements of Big Bang Nucleosynthesis (BBN), to constrain the cosmological scenarios governed by Horava-Lifshitz gravity. We consider both the detailed and non-detailed balance versions of the gravitational sector, and we include the matter and radiation sectors. We conclude that the detailed-balance scenario cannot be ruled out from the observational point of view, however the corresponding likelihood contours impose tight constraints on the involved parameters. The scenario beyond detailed balance is compatible with observational data, and we present the corresponding stringent constraints and contour-plots of the parameters. Although this analysis indicates that Horava-Lifshitz cosmology can be compatible with observations, it does not enlighten the discussion about its possible conceptual and theoretical problems.

7.264594

6.558616

6.743271

6.321085

6.818763

6.579597

6.798329

6.241541

6.500336

6.783806

6.637098

6.711717

6.563853

6.534036

6.690495

6.592521

6.733786

6.41718

6.722727

6.52452

6.752964

1507.05534

David Kastor

David Kastor and Jennie Traschen

Melvin Magnetic Fluxtube/Cosmology Correspondence

19 pages, 3 figures; v2 - references added

null

10.1088/0264-9381/32/23/235027

ACFI-T15-06

hep-th gr-qc

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

We explore a correspondence between Melvin magnetic fluxtubes and anisotropic cosmological solutions, which we call `Melvin cosmologies'. The correspondence via analytic continuation provides useful information in both directions. Solution generating techniques known on the fluxtube side can also be used for generating cosmological backgrounds. Melvin cosmologies interpolate between different limiting Kasner behaviors at early and late times. This has an analogue on the fluxtube side between limiting Levi-Civita behavior at small and large radii. We construct generalized Melvin fluxtubes and cosmologies in both Einstein-Maxwell theory and dilaton gravity and show that similar properties hold.

[ { "created": "Mon, 20 Jul 2015 15:29:31 GMT", "version": "v1" }, { "created": "Thu, 27 Aug 2015 14:52:47 GMT", "version": "v2" } ]

2015-12-09

[ [ "Kastor", "David", "" ], [ "Traschen", "Jennie", "" ] ]

We explore a correspondence between Melvin magnetic fluxtubes and anisotropic cosmological solutions, which we call `Melvin cosmologies'. The correspondence via analytic continuation provides useful information in both directions. Solution generating techniques known on the fluxtube side can also be used for generating cosmological backgrounds. Melvin cosmologies interpolate between different limiting Kasner behaviors at early and late times. This has an analogue on the fluxtube side between limiting Levi-Civita behavior at small and large radii. We construct generalized Melvin fluxtubes and cosmologies in both Einstein-Maxwell theory and dilaton gravity and show that similar properties hold.

11.558687

9.456724

10.902302

9.395161

10.145804

9.969268

9.902655

9.252869

9.43682

11.742696

9.618426

9.455822

10.136389

9.579432

9.656327

9.451891

9.431663

9.605293

9.719926

9.857695

9.696613

hep-th/0212248

Asad Naqvi

Finn Larsen, Asad Naqvi and Seiji Terashima

Rolling Tachyons and Decaying Branes

24 pages

JHEP 0302 (2003) 039

10.1088/1126-6708/2003/02/039

MCTP-02-70, UPR-1026-T, ITFA-2002-60

hep-th

null

We present new rolling tachyon solutions describing the classical decay of D-branes. Our methods are simpler than those appearing in recent works, yet our results are exact in classical string theory. The role of pressure in the decay is studied using tachyon profiles with spatial variation. In this case the final state involves an array of codimension one D-branes rather than static, pressureless tachyon matter.

[ { "created": "Thu, 19 Dec 2002 20:24:26 GMT", "version": "v1" }, { "created": "Tue, 11 Feb 2003 20:43:15 GMT", "version": "v2" } ]

2009-11-07

[ [ "Larsen", "Finn", "" ], [ "Naqvi", "Asad", "" ], [ "Terashima", "Seiji", "" ] ]

We present new rolling tachyon solutions describing the classical decay of D-branes. Our methods are simpler than those appearing in recent works, yet our results are exact in classical string theory. The role of pressure in the decay is studied using tachyon profiles with spatial variation. In this case the final state involves an array of codimension one D-branes rather than static, pressureless tachyon matter.

17.104879

16.359413

17.033735

14.661542

16.383055

14.610752

14.438539

14.766483

15.826506

17.620205

13.432332

15.564285

16.574606

15.420629

15.554559

15.378618

15.568067

15.036294

15.337969

16.719305

14.599672

hep-th/0207218

Kirill A. Kazakov

Quantum Fluctuations of Effective Fields and the Correspondence Principle

15 pages, 3 figures, REVTeX

null

hep-th quant-ph

null

The question of Bohr correspondence in quantum field theory is considered from a dynamical point of view. It is shown that the classical description of particle interactions is inapplicable even in the limit of large particles' masses because of finite quantum fluctuations of the fields produced. In particular, it is found that the relative value of the root mean square fluctuation of the Coulomb and Newton potentials of a massive particle is equal to 1/sqrt{2}. It is shown also that in the case of a macroscopic body, the quantum fluctuations are suppressed by a factor 1/sqrt{N}, where N is the number of particles in the body. An adequate macroscopic interpretation of the correspondence principle is given.

[ { "created": "Wed, 24 Jul 2002 10:18:17 GMT", "version": "v1" } ]

2016-09-06

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

The question of Bohr correspondence in quantum field theory is considered from a dynamical point of view. It is shown that the classical description of particle interactions is inapplicable even in the limit of large particles' masses because of finite quantum fluctuations of the fields produced. In particular, it is found that the relative value of the root mean square fluctuation of the Coulomb and Newton potentials of a massive particle is equal to 1/sqrt{2}. It is shown also that in the case of a macroscopic body, the quantum fluctuations are suppressed by a factor 1/sqrt{N}, where N is the number of particles in the body. An adequate macroscopic interpretation of the correspondence principle is given.

7.572364

7.044794

7.364147

7.197758

6.926392

7.065482

7.459429

6.827558

6.758401

8.005013

7.273733

7.258208

7.465446

7.485936

7.275378

7.41237

7.446015

7.357415

7.298354

7.512087

7.305401

1002.3132

Samir Mathur

Steven G. Avery, Borun D. Chowdhury and Samir D. Mathur

Deforming the D1D5 CFT away from the orbifold point

30 pages, 4 figures, Latex

JHEP 1006:031,2010

10.1007/JHEP06(2010)031

null

hep-th

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

The D1D5 brane bound state is believed to have an `orbifold point' in its moduli space which is the analogue of the free Yang Mills theory for the D3 brane bound state. The supergravity geometry generated by D1 and D5 branes is described by a different point in moduli space, and in moving towards this point we have to deform the CFT by a marginal operator: the `twist' which links together two copies of the CFT. In this paper we find the effect of this deformation operator on the simplest physical state of the CFT -- the Ramond vacuum. The twist deformation leads to a final state that is populated by pairs of excitations like those in a squeezed state. We find the coefficients characterizing the distribution of these particle pairs (for both bosons and fermions) and thus write this final state in closed form.

[ { "created": "Tue, 16 Feb 2010 18:44:34 GMT", "version": "v1" }, { "created": "Wed, 17 Feb 2010 20:12:28 GMT", "version": "v2" } ]

2014-11-20

[ [ "Avery", "Steven G.", "" ], [ "Chowdhury", "Borun D.", "" ], [ "Mathur", "Samir D.", "" ] ]

The D1D5 brane bound state is believed to have an `orbifold point' in its moduli space which is the analogue of the free Yang Mills theory for the D3 brane bound state. The supergravity geometry generated by D1 and D5 branes is described by a different point in moduli space, and in moving towards this point we have to deform the CFT by a marginal operator: the `twist' which links together two copies of the CFT. In this paper we find the effect of this deformation operator on the simplest physical state of the CFT -- the Ramond vacuum. The twist deformation leads to a final state that is populated by pairs of excitations like those in a squeezed state. We find the coefficients characterizing the distribution of these particle pairs (for both bosons and fermions) and thus write this final state in closed form.

10.651472

9.637929

11.614708

9.37581

10.194527

10.040882

9.975723

9.62986

9.907196

12.909227

9.888902

9.76404

10.55125

10.055728

9.878599

9.588135

10.106982

9.661741

10.040583

10.517259

10.163097

1809.09107

Jesse Cresswell

Jesse C. Cresswell, Ian T. Jardine, and Amanda W. Peet

Holographic relations for OPE blocks in excited states

22 pages. As published in JHEP

JHEP03(2019)058

10.1007/JHEP03(2019)058

null

hep-th

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

We study the holographic duality between boundary OPE blocks and geodesic integrated bulk fields in quotients of AdS$_3$ dual to excited CFT states. The quotient geometries exhibit non-minimal geodesics between pairs of spacelike separated boundary points which modify the OPE block duality. We decompose OPE blocks into quotient invariant operators and propose a duality with bulk fields integrated over individual geodesics, minimal or non-minimal. We provide evidence for this relationship by studying the monodromy of asymptotic maps that implement the quotients.

[ { "created": "Mon, 24 Sep 2018 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 13 Mar 2019 14:18:20 GMT", "version": "v2" } ]

2019-03-14

[ [ "Cresswell", "Jesse C.", "" ], [ "Jardine", "Ian T.", "" ], [ "Peet", "Amanda W.", "" ] ]

We study the holographic duality between boundary OPE blocks and geodesic integrated bulk fields in quotients of AdS$_3$ dual to excited CFT states. The quotient geometries exhibit non-minimal geodesics between pairs of spacelike separated boundary points which modify the OPE block duality. We decompose OPE blocks into quotient invariant operators and propose a duality with bulk fields integrated over individual geodesics, minimal or non-minimal. We provide evidence for this relationship by studying the monodromy of asymptotic maps that implement the quotients.

11.866702

10.046409

13.788608

10.033011

10.327035

10.738041

9.31359

10.186415

9.834696

15.662258

10.393433

10.416575

12.683813

11.391541

10.964082

11.13435

11.143647

10.994246

10.997113

12.128592

10.99157

hep-th/9406139

Desmond Johnston

D. Johnston

A Remark on the Renormalization Group Equation for the Penner Model

LaTeX, 5 pages, LPTHE-Orsay-94-59

Phys.Rev. D51 (1995) 2014-2017

10.1103/PhysRevD.51.2014

null

hep-th

null

It is possible to extract values for critical couplings and gamma_string in matrix models by deriving a renormalization group equation for the variation of the of the free energy as the size N of the matrices in the theory is varied. In this paper we derive a ``renormalization group equation'' for the Penner model by direct differentiation of the partition function and show that it reproduces the correct values of the critical coupling and gamma_string and is consistent with the logarithmic corrections present for g=0,1.

[ { "created": "Tue, 21 Jun 1994 16:59:10 GMT", "version": "v1" } ]

2009-10-28

[ [ "Johnston", "D.", "" ] ]

It is possible to extract values for critical couplings and gamma_string in matrix models by deriving a renormalization group equation for the variation of the of the free energy as the size N of the matrices in the theory is varied. In this paper we derive a ``renormalization group equation'' for the Penner model by direct differentiation of the partition function and show that it reproduces the correct values of the critical coupling and gamma_string and is consistent with the logarithmic corrections present for g=0,1.

12.584455

10.461482

11.391352

10.126676

11.822944

10.963756

10.560255

10.085917

9.298036

11.690165

10.143301

10.151652

10.85283

9.567683

10.093122

10.211529

10.13519

10.579685

10.168807

10.537735

9.968637

hep-th/0611107

Jerzy Lukierski

Jerzy Lukierski, (Inst. Theor. Phys. University of Wroclaw)

Quantum $\kappa$-deformations of D=4 relativistic supersymmetries

LaTeX 4 pages, aipproc style - included. To appear in Proc. of 14th Int. Conf. on Supersymmetry and Unification of Fundamental Interactions (SUSY'06), UC Irvine, California, June 2006; Ed. J. Feng, AIP Proc. Ser. (2007)

AIPConf.Proc.903:546-549,2007

10.1063/1.2735244

null

hep-th

null

We describe the quantum $\kappa$-deformation of super-Poincar\'{e} algebra, with fundamental mass-like deformation parameter $\kappa$. We shall describe the result in graded bicrossproduct basis, with classical Lorentz superalgebra sector which includes half of the supercharges.

[ { "created": "Thu, 9 Nov 2006 15:02:25 GMT", "version": "v1" } ]

2008-11-26

[ [ "Lukierski", "Jerzy", "" ] ]

We describe the quantum $\kappa$-deformation of super-Poincar\'{e} algebra, with fundamental mass-like deformation parameter $\kappa$. We shall describe the result in graded bicrossproduct basis, with classical Lorentz superalgebra sector which includes half of the supercharges.

15.734163

12.614895

17.523849

12.240745

14.288999

13.882729

12.252865

11.158892

12.258563

16.537731

12.254135

12.908751

15.314741

13.392817

14.022269

13.603975

12.952612

13.016434

13.254016

14.80934

13.33692

1308.1222

Rajesh Gupta

S. de Alwis, R. K. Gupta, E. Hatefi and F. Quevedo

Stability, Tunneling and Flux Changing de Sitter Transitions in the Large Volume String Scenario

An error (equation 5.5) is corrected and references added. The main conclusion is unchanged

JHEP11(2013)179

10.1007/JHEP11(2013)179

DAMTP-2013-42

hep-th

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

We study the non-perturbative stability of the Large Volume Scenario (LVS) of IIB string compactifications, by analysing transitions mediated by the Brown-Teitelboim (BT) brane nucleations and by Coleman De Luccia tunneling (CDL). We find that, as long as the effective field theory description holds, the LVS AdS minima are stable despite being non-supersymmetric. This opens the possibility of having a CFT dual. Metastable de Sitter vacua behave differently depending on the uplifting mechanism. We find explicit expressions for the different decay rates in terms of exponentials of the volume. Among the transitions of dS to dS those with increasing volume and decreasing vacuum energy are preferred, though dS decays to AdS (big-crunch sinks) have higher probability. However, the probability of transitions via the CDL mechanism to decompactification are exponentially much larger compared to these. The BT decays correspond to flux/D3 brane transitions mediated by the nucleation of D5/NS5 branes. We compare our results with previous analysis for KKLT, type IIA, and 6D Einstein-Maxwell studies. In particular we find no indication for a bubble of nothing decay.

[ { "created": "Tue, 6 Aug 2013 09:59:28 GMT", "version": "v1" }, { "created": "Fri, 16 Aug 2013 17:54:27 GMT", "version": "v2" }, { "created": "Tue, 12 Nov 2013 16:23:38 GMT", "version": "v3" }, { "created": "Fri, 12 May 2017 17:42:10 GMT", "version": "v4" } ]

2017-05-15

[ [ "de Alwis", "S.", "" ], [ "Gupta", "R. K.", "" ], [ "Hatefi", "E.", "" ], [ "Quevedo", "F.", "" ] ]

We study the non-perturbative stability of the Large Volume Scenario (LVS) of IIB string compactifications, by analysing transitions mediated by the Brown-Teitelboim (BT) brane nucleations and by Coleman De Luccia tunneling (CDL). We find that, as long as the effective field theory description holds, the LVS AdS minima are stable despite being non-supersymmetric. This opens the possibility of having a CFT dual. Metastable de Sitter vacua behave differently depending on the uplifting mechanism. We find explicit expressions for the different decay rates in terms of exponentials of the volume. Among the transitions of dS to dS those with increasing volume and decreasing vacuum energy are preferred, though dS decays to AdS (big-crunch sinks) have higher probability. However, the probability of transitions via the CDL mechanism to decompactification are exponentially much larger compared to these. The BT decays correspond to flux/D3 brane transitions mediated by the nucleation of D5/NS5 branes. We compare our results with previous analysis for KKLT, type IIA, and 6D Einstein-Maxwell studies. In particular we find no indication for a bubble of nothing decay.

10.934668

11.035547

11.385194

10.583247

11.852666

10.974552

10.908451

10.684733

10.076576

12.673234

10.463895

10.870937

10.992194

10.551024

10.96094

10.287559

10.709173

10.385858

10.81378

11.201352

10.59894

0907.5259

Yuji Satoh

Kazuhiro Sakai, Yuji Satoh

A note on string solutions in AdS_3

17 pages, 1 figure; (v2) added 1 figure and discussion on solutions with 6 null boundaries; (v3) corrected equation numbers; (v4) added comments

JHEP 0910:001,2009

10.1088/1126-6708/2009/10/001

UTHEP-588

hep-th

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

We systematically search for classical open string solutions in AdS_3 within the general class expressed by elliptic functions (i.e., the genus-one finite-gap solutions). By explicitly solving the reality and Virasoro conditions, we give a classification of the allowed solutions. When the elliptic modulus degenerates, we find a class of solutions with six null boundaries, among which two pairs are collinear. By adding the S^1 sector, we also find four-cusp solutions with null boundaries expressed by the elliptic functions.

[ { "created": "Thu, 30 Jul 2009 08:09:44 GMT", "version": "v1" }, { "created": "Fri, 11 Sep 2009 04:26:33 GMT", "version": "v2" }, { "created": "Thu, 1 Oct 2009 12:02:37 GMT", "version": "v3" }, { "created": "Tue, 19 Jan 2010 11:24:13 GMT", "version": "v4" } ]

2010-01-22

[ [ "Sakai", "Kazuhiro", "" ], [ "Satoh", "Yuji", "" ] ]

We systematically search for classical open string solutions in AdS_3 within the general class expressed by elliptic functions (i.e., the genus-one finite-gap solutions). By explicitly solving the reality and Virasoro conditions, we give a classification of the allowed solutions. When the elliptic modulus degenerates, we find a class of solutions with six null boundaries, among which two pairs are collinear. By adding the S^1 sector, we also find four-cusp solutions with null boundaries expressed by the elliptic functions.

17.19058

16.261738

18.588774

14.609638

15.260312

15.614176

15.447815

15.165777

15.570187

19.367264

14.893102

14.979152

17.028275

15.018749

14.923422

15.81278

14.79944

14.976459

15.079519

16.967089

14.850153

2011.07596

Martin Bojowald

Martin Bojowald, Suddhasattwa Brahma, Umut Buyukcam, Martijn van Kuppeveld

The ground state of non-associative hydrogen and upper bounds on the magnetic charge of elementary particles

25 pages

Phys. Rev. D 104 (2021) 105009

10.1103/PhysRevD.104.105009

null

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

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

Formulations of magnetic monopoles in a Hilbert-space formulation of quantum mechanics require Dirac's quantization condition of magnetic charge, which implies a large value that can easily be ruled out for elementary particles by standard atomic spectroscopy. However, an algebraic formulation of non-associative quantum mechanics is mathematically consistent with fractional magnetic charges of small values. Here, spectral properties in non-associative quantum mechanics are derived, applied to the ground state of hydrogen with a magnetically charged nucleus. The resulting energy leads to new strong upper bounds for the magnetic charge of various elementary particles that can appear as the nucleus of hydrogen-like atoms, such as the muon or the antiproton.

[ { "created": "Sun, 15 Nov 2020 18:20:02 GMT", "version": "v1" } ]

2022-05-03

[ [ "Bojowald", "Martin", "" ], [ "Brahma", "Suddhasattwa", "" ], [ "Buyukcam", "Umut", "" ], [ "van Kuppeveld", "Martijn", "" ] ]

Formulations of magnetic monopoles in a Hilbert-space formulation of quantum mechanics require Dirac's quantization condition of magnetic charge, which implies a large value that can easily be ruled out for elementary particles by standard atomic spectroscopy. However, an algebraic formulation of non-associative quantum mechanics is mathematically consistent with fractional magnetic charges of small values. Here, spectral properties in non-associative quantum mechanics are derived, applied to the ground state of hydrogen with a magnetically charged nucleus. The resulting energy leads to new strong upper bounds for the magnetic charge of various elementary particles that can appear as the nucleus of hydrogen-like atoms, such as the muon or the antiproton.

12.546641

10.843178

12.502653

11.747725

12.088502

12.21757

11.603385

12.760409

11.944687

12.589038

11.629684

11.435162

11.566892

11.553864

11.417824

11.366517

11.383782

11.422211

11.655742

11.807825

11.558585

1305.2578

Ming-Fan Li

Ming-Fan Li and Mingxing Luo

Intermediate effective interactions and dynamical fermion mass generation of QCD

6 pages, 5 figures, revtex4

Phys. Rev. D 88, 085019 (2013)

10.1103/PhysRevD.88.085019

null

hep-th

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

The functional renormalization group equation is expanded to a two-loop form. This two-loop form equation involves one-loop effective action. An intermediate effective action perspective is adopted toward the one-loop effective action. That is to say, the intermediate effective action could not be of the same form of the bare action and one can make an ansatz to it. Thus by focusing on different high dimensional operators, effects of the chosen operators can be investigated. QCD through intermediate fermion-4 interactions is investigated. Of the 6 kinds of fermion-4 interactions generated by one-loop QCD, 4 kinds generate fermion mass while the other 2 kinds degenerate it. The net effect is fermion mass degeneration when dimensionless mass is large. Flow patterns on the $\tilde{m}^2_{\text{phys.}}-\tilde{g}^2$ plane are drawn.

[ { "created": "Sun, 12 May 2013 11:38:03 GMT", "version": "v1" } ]

2013-10-30

[ [ "Li", "Ming-Fan", "" ], [ "Luo", "Mingxing", "" ] ]

The functional renormalization group equation is expanded to a two-loop form. This two-loop form equation involves one-loop effective action. An intermediate effective action perspective is adopted toward the one-loop effective action. That is to say, the intermediate effective action could not be of the same form of the bare action and one can make an ansatz to it. Thus by focusing on different high dimensional operators, effects of the chosen operators can be investigated. QCD through intermediate fermion-4 interactions is investigated. Of the 6 kinds of fermion-4 interactions generated by one-loop QCD, 4 kinds generate fermion mass while the other 2 kinds degenerate it. The net effect is fermion mass degeneration when dimensionless mass is large. Flow patterns on the $\tilde{m}^2_{\text{phys.}}-\tilde{g}^2$ plane are drawn.

16.201889

18.099068

16.555878

15.958801

18.329441

17.936491

16.771406

17.636204

16.257416

17.000725

16.59763

15.461639

16.258524

15.744817

16.420061

17.031393

15.857836

16.187468

15.455097

15.797007

15.996243

hep-th/0301217

Radu Roiban

Radu Roiban, Radu Tatar, Johannes Walcher

Massless Flavor in Geometry and Matrix Models

33 pages, 1 figure

Nucl.Phys.B665:211-235,2003

10.1016/S0550-3213(03)00451-6

null

hep-th

null

The proper inclusion of flavor in the Dijkgraaf-Vafa proposal for the solution of N=1 gauge theories through matrix models has been subject of debate in the recent literature. We here reexamine this issue by geometrically engineering fundamental matter with type IIB branes wrapped on non-compact cycles in the resolved geometry, and following them through the geometric transition. Our approach treats massive and massless flavor fields on equal footing, including the mesons. We also study the geometric transitions and superpotentials for finite mass of the adjoint field. All superpotentials we compute reproduce the field theory results. Crucial insights come from T-dual brane constructions in type IIA.

[ { "created": "Mon, 27 Jan 2003 19:17:47 GMT", "version": "v1" } ]

2008-11-26

[ [ "Roiban", "Radu", "" ], [ "Tatar", "Radu", "" ], [ "Walcher", "Johannes", "" ] ]

The proper inclusion of flavor in the Dijkgraaf-Vafa proposal for the solution of N=1 gauge theories through matrix models has been subject of debate in the recent literature. We here reexamine this issue by geometrically engineering fundamental matter with type IIB branes wrapped on non-compact cycles in the resolved geometry, and following them through the geometric transition. Our approach treats massive and massless flavor fields on equal footing, including the mesons. We also study the geometric transitions and superpotentials for finite mass of the adjoint field. All superpotentials we compute reproduce the field theory results. Crucial insights come from T-dual brane constructions in type IIA.

12.810349

10.477627

15.10614

10.263525

11.097294

10.798347

10.597462

10.695387

10.942818

14.830339

11.346433

10.477257

11.976508

11.446086

10.908648

10.653068

10.623781

10.630615

11.440517

11.589108

10.931944

1906.03102

Peng-Xiang Hao

Bin Chen, Peng-Xiang Hao, Zhe-fei Yu

2d Galilean Field Theories with Anisotropic Scaling

39 pages; v2: 40 pages, note and references added, typos corrected; v3: reference added, typos corrected; v4: minor revision on section4 and section 7

Phys. Rev. D 101, 066029 (2020)

10.1103/PhysRevD.101.066029

null

hep-th cond-mat.other

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

In this work, we study two-dimensional Galilean field theories with global translations and anisotropic scaling symmetries. We show that such theories have enhanced local symmetries, generated by the infinite dimensional spin-l Galilean algebra with possible central extensions, under the assumption that the dilation operator is diagonalizable and has a discrete and non-negative spectrum. We study the Newton-Cartan geometry with anisotropic scaling, on which the field theories could be defined in a covariant way. With the well-defined Newton-Cartan geometry we establish the state-operator correspondence in anisotropic GCFT, determine the two-point functions of primary operators, and discuss the modular properties of the torus partition function which allows us to derive Cardy-like formulae.

[ { "created": "Fri, 7 Jun 2019 13:52:20 GMT", "version": "v1" }, { "created": "Wed, 12 Jun 2019 03:24:50 GMT", "version": "v2" }, { "created": "Wed, 19 Jun 2019 14:25:25 GMT", "version": "v3" }, { "created": "Thu, 26 Sep 2019 11:13:07 GMT", "version": "v4" } ]

2020-04-08

[ [ "Chen", "Bin", "" ], [ "Hao", "Peng-Xiang", "" ], [ "Yu", "Zhe-fei", "" ] ]

In this work, we study two-dimensional Galilean field theories with global translations and anisotropic scaling symmetries. We show that such theories have enhanced local symmetries, generated by the infinite dimensional spin-l Galilean algebra with possible central extensions, under the assumption that the dilation operator is diagonalizable and has a discrete and non-negative spectrum. We study the Newton-Cartan geometry with anisotropic scaling, on which the field theories could be defined in a covariant way. With the well-defined Newton-Cartan geometry we establish the state-operator correspondence in anisotropic GCFT, determine the two-point functions of primary operators, and discuss the modular properties of the torus partition function which allows us to derive Cardy-like formulae.

9.500315

8.433484

10.156206

8.0322

8.845604

8.737637

8.919209

8.044332

8.882828

10.539775

8.528366

8.43309

9.293223

8.628881

8.811804

9.237259

8.872439

8.933089

9.067599

9.218358

8.598137

2107.04535

Khai Ming Wong

Dan Zhu, Khai-Ming Wong, Timothy Tie, Guo-Quan Wong

Bifurcating Branches of Multiple Charged One-Plus-Half Monopole In SU(2) Yang-Mills-Higgs Theory

7 pages, 4 figures

null

hep-th

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

In this paper, we study on the one-plus-half monopole configuration in SU(2) Yang-Mills-Higgs theory when the $\phi$-winding number, $n$, runs from 2 to 4 and for a range of Higgs coupling constant, $\lambda_b \leq \lambda \leq 40$, where $\lambda_b$ is the lower bound, below which no solution can be found. Bifurcation and transition are observed for $n > 2$ when the Higgs coupling constant is larger than some critical value $\lambda_c$ and transitional value $\lambda_t$, respectively. Two different branches with energy higher than the fundamental solution are observed for both $n = 3$ and $4$. We also observed a new branch with even higher energy for $n = 4$. Unlike other branches which display transition behavior, the new branch corresponds to a full vortex-ring configuration. All the solutions possess finite energy. Plots of magnetic charge density, Higgs modulus and energy density are presented and analyzed.

[ { "created": "Fri, 9 Jul 2021 16:40:33 GMT", "version": "v1" } ]

2021-07-12

[ [ "Zhu", "Dan", "" ], [ "Wong", "Khai-Ming", "" ], [ "Tie", "Timothy", "" ], [ "Wong", "Guo-Quan", "" ] ]

In this paper, we study on the one-plus-half monopole configuration in SU(2) Yang-Mills-Higgs theory when the $\phi$-winding number, $n$, runs from 2 to 4 and for a range of Higgs coupling constant, $\lambda_b \leq \lambda \leq 40$, where $\lambda_b$ is the lower bound, below which no solution can be found. Bifurcation and transition are observed for $n > 2$ when the Higgs coupling constant is larger than some critical value $\lambda_c$ and transitional value $\lambda_t$, respectively. Two different branches with energy higher than the fundamental solution are observed for both $n = 3$ and $4$. We also observed a new branch with even higher energy for $n = 4$. Unlike other branches which display transition behavior, the new branch corresponds to a full vortex-ring configuration. All the solutions possess finite energy. Plots of magnetic charge density, Higgs modulus and energy density are presented and analyzed.

8.23481

8.005945

9.207544

7.993999

7.885374

7.976759

7.181371

7.650826

7.910964

8.85563

7.829369

7.48239

8.054658

7.787939

7.737124

7.626648

7.445864

7.631701

7.665377

7.941796

7.862006

hep-th/0103112

Massimo Bianchi

Massimo Bianchi (DAMTP University of Cambridge and Universita` di Roma ``Tor Vergata'')

(Non-)perturbative tests of the AdS/CFT correspondence

9 pages, Latex, style file espcrc2.sty. Typos corrected, references added. Talk given at the D.V. Volkov Memorial Conference ``Supersymmetry and Quantum Field Theory'', 25-30 July 2000, Kharkov, to be published in Nuclear Physics B Conference Supplements. Summary of the lectures delivered at the school ``Latest developments in M-Theory'', Institut Henri Poincare', Paris, 1-8 February 2001

Nucl.Phys.Proc.Suppl. 102 (2001) 56-64

10.1016/S0920-5632(01)01536-5

DAMTP-01-24

hep-th

null

I summarize perturbative and non-perturbative field theory tests of the holographic correspondence between type IIB superstring on AdS_5xS^5 and N=4 SYM theory. The holographic duality between D-instantons and YM instantons is briefly described. Non renormalization of two- and three-point functions of CPO's and their extremal and next-to-extremal correlators are then reviewed. Finally, partial non-renormalization of four-point functions of lowest CPO's is analyzed in view of the interpretation of short distance logarithmic behaviours in terms of anomalous dimensions of unprotected operators.

[ { "created": "Wed, 14 Mar 2001 17:02:27 GMT", "version": "v1" }, { "created": "Wed, 4 Apr 2001 11:00:03 GMT", "version": "v2" } ]

2009-11-07

[ [ "Bianchi", "Massimo", "", "DAMTP University of Cambridge and Universita` di Roma\n ``Tor Vergata''" ] ]

I summarize perturbative and non-perturbative field theory tests of the holographic correspondence between type IIB superstring on AdS_5xS^5 and N=4 SYM theory. The holographic duality between D-instantons and YM instantons is briefly described. Non renormalization of two- and three-point functions of CPO's and their extremal and next-to-extremal correlators are then reviewed. Finally, partial non-renormalization of four-point functions of lowest CPO's is analyzed in view of the interpretation of short distance logarithmic behaviours in terms of anomalous dimensions of unprotected operators.

8.104832

6.679173

8.786824

6.844859

6.677854

6.765091

6.930559

6.692538

7.125151

9.19383

6.940246

6.828336

7.737628

7.145889

7.150283

6.757091

6.968345

6.878718

7.147479

8.017621

6.862717

1104.3155

Hans Jockers

Allan Adams, Hans Jockers, Vijay Kumar, Joshua M. Lapan

N=1 Sigma Models in AdS_4

32 pages; v2: minor changes and references added; v3: discussion in sect. 5 extended, version published in JHEP

null

10.1007/JHEP12(2011)042

MIT-CTP-4246; SU-ITP-11/21; NSF-KITP-11-053

hep-th hep-ph

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

We study sigma models in AdS_4 with global N=1 supersymmetry and find that they differ significantly from their flat-space cousins -- the target space is constrained to be a Kahler manifold with an exact Kahler form, the superpotential transforms under Kahler transformations, the space of supersymmetric vacua is generically a set of isolated points even when the superpotential vanishes, and the R-symmetry is classically broken by the cosmological constant. Remarkably, the exactness of the Kahler class is also required for the sigma model to arise as a decoupling limit of N=1 supergravity, and ensures the vanishing of gravitational anomalies. As simple applications of these results, we argue that fields with AdS_4 scale masses are ubiquitous in, for example, type IIB N=1 AdS_4 vacua stabilized near large volume; we also show that the Affleck-Dine-Seiberg runaway of N_f < N_c SQCD is regulated by considering the theory in AdS_4.

[ { "created": "Fri, 15 Apr 2011 20:37:24 GMT", "version": "v1" }, { "created": "Sun, 10 Jul 2011 17:00:01 GMT", "version": "v2" }, { "created": "Wed, 21 Dec 2011 13:06:01 GMT", "version": "v3" } ]

2015-05-27

[ [ "Adams", "Allan", "" ], [ "Jockers", "Hans", "" ], [ "Kumar", "Vijay", "" ], [ "Lapan", "Joshua M.", "" ] ]

We study sigma models in AdS_4 with global N=1 supersymmetry and find that they differ significantly from their flat-space cousins -- the target space is constrained to be a Kahler manifold with an exact Kahler form, the superpotential transforms under Kahler transformations, the space of supersymmetric vacua is generically a set of isolated points even when the superpotential vanishes, and the R-symmetry is classically broken by the cosmological constant. Remarkably, the exactness of the Kahler class is also required for the sigma model to arise as a decoupling limit of N=1 supergravity, and ensures the vanishing of gravitational anomalies. As simple applications of these results, we argue that fields with AdS_4 scale masses are ubiquitous in, for example, type IIB N=1 AdS_4 vacua stabilized near large volume; we also show that the Affleck-Dine-Seiberg runaway of N_f < N_c SQCD is regulated by considering the theory in AdS_4.

8.301281

7.999825

9.864546

8.470468

8.417182

8.511036

8.711145

8.362786

8.272632

10.702919

7.842236

7.980365

8.88045

8.136249

8.298273

8.136935

8.152492

8.035805

8.118598

8.91729

8.059487

2009.00033

Yasunori Lee

Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa

Revisiting Wess-Zumino-Witten terms

59 pages; v2: minor changes

SciPost Phys. 10, 061 (2021)

10.21468/SciPostPhys.10.3.061

IPMU-20-0093

hep-th cond-mat.str-el

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

We revisit various topological issues concerning four-dimensional ungauged and gauged Wess-Zumino-Witten (WZW) terms for $SU$ and $SO$ quantum chromodynamics (QCD), from the modern bordism point of view. We explain, for example, why the definition of the $4d$ WZW terms requires the spin structure. We also discuss how the mixed anomaly involving the 1-form symmetry of $SO$ QCD is reproduced in the low-energy sigma model.

[ { "created": "Mon, 31 Aug 2020 18:02:55 GMT", "version": "v1" }, { "created": "Wed, 30 Sep 2020 15:00:01 GMT", "version": "v2" } ]

2021-03-10

[ [ "Lee", "Yasunori", "" ], [ "Ohmori", "Kantaro", "" ], [ "Tachikawa", "Yuji", "" ] ]

We revisit various topological issues concerning four-dimensional ungauged and gauged Wess-Zumino-Witten (WZW) terms for $SU$ and $SO$ quantum chromodynamics (QCD), from the modern bordism point of view. We explain, for example, why the definition of the $4d$ WZW terms requires the spin structure. We also discuss how the mixed anomaly involving the 1-form symmetry of $SO$ QCD is reproduced in the low-energy sigma model.

10.396389

8.744449

9.348716

8.365787

8.716574

8.247952

8.503083

8.093826

8.523234

11.11171

7.959414

9.05244

9.546422

8.737564

9.333316

8.939782

8.997077

8.432467

8.883622

9.213829

9.185432

hep-th/0604217

Yoshinobu Habara

Gauge Theory and a Dirac Operator on a Noncommutative Space

2 figures, final version

Prog.Theor.Phys.116:771-781,2007

10.1143/PTP.116.771

null

hep-th

null

As a tool to carry out the quantization of gauge theory on a noncommutative space, we present a Dirac operator that behaves as a line element of the canonical noncommutative space. Utilizing this operator, we construct the Dixmier trace, which is the regularized trace for infinite-dimensional matrices. We propose the possibility of solving the cosmological constant problem by applying our gauge theory on the noncommutative space.

[ { "created": "Fri, 28 Apr 2006 16:31:56 GMT", "version": "v1" }, { "created": "Sun, 29 Oct 2006 15:26:09 GMT", "version": "v2" } ]

2008-11-26

[ [ "Habara", "Yoshinobu", "" ] ]

As a tool to carry out the quantization of gauge theory on a noncommutative space, we present a Dirac operator that behaves as a line element of the canonical noncommutative space. Utilizing this operator, we construct the Dixmier trace, which is the regularized trace for infinite-dimensional matrices. We propose the possibility of solving the cosmological constant problem by applying our gauge theory on the noncommutative space.

10.152991

9.074951

9.190716

8.188008

8.421714

8.681649

9.110602

8.85064

7.92905

10.006118

8.263355

8.275128

8.74833

8.730663

8.541971

8.445576

8.654814

8.391275

8.526433

8.845015

8.447351

hep-th/9409100

Philippe Zaugg

The quantum Poincare group from quantum group contraction

19 pages, mit-2353, harvmac

null

10.1088/0305-4470/28/9/018

null

hep-th

null

We propose a contraction of the de Sitter quantum group leading to the quantum Poincare group in any dimensions. The method relies on the coaction of the de Sitter quantum group on a non--commutative space, and the deformation parameter $q$ is sent to one. The bicrossproduct structure of the quantum Poincar\'e group is exhibited and shown to be dual to the one of the $\kappa$--Poincar\'e Hopf algebra, at least in two dimensions.

[ { "created": "Sun, 18 Sep 1994 22:33:03 GMT", "version": "v1" } ]

2009-10-28

[ [ "Zaugg", "Philippe", "" ] ]

We propose a contraction of the de Sitter quantum group leading to the quantum Poincare group in any dimensions. The method relies on the coaction of the de Sitter quantum group on a non--commutative space, and the deformation parameter $q$ is sent to one. The bicrossproduct structure of the quantum Poincar\'e group is exhibited and shown to be dual to the one of the $\kappa$--Poincar\'e Hopf algebra, at least in two dimensions.

6.677845

5.903417

5.686288

5.305818

5.535274

5.459599

5.828139

5.307373

5.473759

6.805131

5.958162

5.571509

6.000768

5.803077

5.565929

5.5206

5.581437

5.718547

5.740679

6.147851

6.015256

hep-th/0112226

Allan Joseph Medved

A.J.M. Medved (University of Alberta)

A Holographic Interpretation of Asymptotically de Sitter Spacetimes

23 page, Latex; references added and some discussion (but no equations) modified

Class.Quant.Grav. 19 (2002) 2883-2896

10.1088/0264-9381/19/11/309

null

hep-th

null

One of the remarkable outcomes of the AdS/CFT correspondence has been the generalization of Cardy's entropy formula for arbitrary dimensionality, as well as a variety of anti-de Sitter scenarios. More recently, related work has been done in the realm of asymptotically de Sitter backgrounds. Such studies presume a well-defined dS/CFT duality, which has not yet attained the credibility of its AdS analogue. In this paper, we derive and interpret generalized forms of the Cardy entropy for a selection of asymptotically de Sitter spacetimes. These include the Schwarzschild-de Sitter black hole (as a review of hep-th/0112093), the Reissner-Nordstrom-de Sitter black hole and a special class of topological de Sitter solutions. Each of these cases is found to have interesting implications in the context of the proposed correspondence.

[ { "created": "Mon, 24 Dec 2001 20:46:25 GMT", "version": "v1" }, { "created": "Mon, 31 Dec 2001 20:37:11 GMT", "version": "v2" } ]

2009-11-07

[ [ "Medved", "A. J. M.", "", "University of Alberta" ] ]

One of the remarkable outcomes of the AdS/CFT correspondence has been the generalization of Cardy's entropy formula for arbitrary dimensionality, as well as a variety of anti-de Sitter scenarios. More recently, related work has been done in the realm of asymptotically de Sitter backgrounds. Such studies presume a well-defined dS/CFT duality, which has not yet attained the credibility of its AdS analogue. In this paper, we derive and interpret generalized forms of the Cardy entropy for a selection of asymptotically de Sitter spacetimes. These include the Schwarzschild-de Sitter black hole (as a review of hep-th/0112093), the Reissner-Nordstrom-de Sitter black hole and a special class of topological de Sitter solutions. Each of these cases is found to have interesting implications in the context of the proposed correspondence.

8.053905

7.37693

7.688708

7.107747

7.34454

7.237079

7.30261

7.257107

7.612362

8.650309

7.225964

7.329558

7.201671

7.602535

7.276752

7.384694

7.261983

7.306633

7.296852

7.40361

7.346295

1605.02030

Christopher D. Carone

Unitarity and microscopic acausality in a nonlocal theory

26 pages LaTeX, 4 eps figures (latest version: discussion added)

Phys. Rev. D 95, 045009 (2017)

10.1103/PhysRevD.95.045009

null

hep-th hep-ph

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

We consider unitarity and causality in a higher-derivative theory of infinite order, where propagators fall off more quickly in the ultraviolet due to the presence of a transcendental entire function of the momentum. Like Lee-Wick theories, these field theories might provide new avenues for addressing the hierarchy problem; unlike Lee-Wick theories, tree-level propagators do not have additional poles corresponding to unobserved particles with unusual properties. We consider microscopic acausality in these nonlocal theories. The acausal ordering of production and decay vertices for ordinary resonant particles may provide a phenomenologically distinct signature for these models.

[ { "created": "Fri, 6 May 2016 18:44:25 GMT", "version": "v1" }, { "created": "Fri, 13 May 2016 21:27:20 GMT", "version": "v2" }, { "created": "Tue, 7 Feb 2017 16:47:34 GMT", "version": "v3" } ]

2017-03-01

[ [ "Carone", "Christopher D.", "" ] ]

We consider unitarity and causality in a higher-derivative theory of infinite order, where propagators fall off more quickly in the ultraviolet due to the presence of a transcendental entire function of the momentum. Like Lee-Wick theories, these field theories might provide new avenues for addressing the hierarchy problem; unlike Lee-Wick theories, tree-level propagators do not have additional poles corresponding to unobserved particles with unusual properties. We consider microscopic acausality in these nonlocal theories. The acausal ordering of production and decay vertices for ordinary resonant particles may provide a phenomenologically distinct signature for these models.

13.705973

14.336059

14.223823

12.994235

13.761069

14.471065

15.178444

14.041365

13.417812

15.913017

12.95178

13.709905

13.398149

12.936837

13.229481

13.660203

13.146439

13.030107

13.339573

13.569396

12.976598

1101.1748

Sun ChengYi

Cheng-Yi Sun and Rui-Hong Yue

Inflation and New Agegraphic Dark Energy

5 pages,no figures, detials is added

Phys.Rev.D83:107302,2011

10.1103/PhysRevD.83.107302

null

hep-th

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

In the note, we extend the discussion of the new agegraphic dark energy (NADE) model to include the inflation stage. Usually, in the inflation models, for convenience the conformal time $\eta$ is set to be zero at the end of inflation. This is incompatible with the NADE model since $\eta=0$ indicates the divergence of NADE. To avoid the difficulty, we can redefine the conformal time as $\eta+\delta$. However, we find that the positive constant $\delta$ must be so large that NADE can not become dominated at present time.

[ { "created": "Mon, 10 Jan 2011 09:44:12 GMT", "version": "v1" }, { "created": "Sat, 23 Apr 2011 08:20:33 GMT", "version": "v2" } ]

2011-06-02

[ [ "Sun", "Cheng-Yi", "" ], [ "Yue", "Rui-Hong", "" ] ]

In the note, we extend the discussion of the new agegraphic dark energy (NADE) model to include the inflation stage. Usually, in the inflation models, for convenience the conformal time $\eta$ is set to be zero at the end of inflation. This is incompatible with the NADE model since $\eta=0$ indicates the divergence of NADE. To avoid the difficulty, we can redefine the conformal time as $\eta+\delta$. However, we find that the positive constant $\delta$ must be so large that NADE can not become dominated at present time.

9.242962

9.237343

8.261155

8.208163

9.197978

8.923194

9.516192

8.255953

8.775874

8.560259

8.297115

8.478579

8.135273

8.367336

8.392345

8.706594

8.232239

8.24628

8.199907

7.76791

8.685297

1402.0872

Jorge Eduardo Santos

Sean A. Hartnoll and Jorge E. Santos

Disordered horizons: Holography of randomly disordered fixed points

v2: typos fixed, refs added, 19 pages, 5 figures

Phys. Rev. Lett. 112, 231601 (2014)

10.1103/PhysRevLett.112.231601

null

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

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

We deform conformal field theories with classical gravity duals by marginally relevant random disorder. We show that the disorder generates a flow to IR fixed points with a finite amount of disorder. The randomly disordered fixed points are characterized by a dynamical critical exponent $z>1$ that we obtain both analytically (via resummed perturbation theory) and numerically (via a full simulation of the disorder). The IR dynamical critical exponent increases with the magnitude of disorder, probably tending to $z \to \infty$ in the limit of infinite disorder.

[ { "created": "Tue, 4 Feb 2014 21:00:17 GMT", "version": "v1" }, { "created": "Wed, 12 Feb 2014 18:29:11 GMT", "version": "v2" } ]

2014-06-18

[ [ "Hartnoll", "Sean A.", "" ], [ "Santos", "Jorge E.", "" ] ]

We deform conformal field theories with classical gravity duals by marginally relevant random disorder. We show that the disorder generates a flow to IR fixed points with a finite amount of disorder. The randomly disordered fixed points are characterized by a dynamical critical exponent $z>1$ that we obtain both analytically (via resummed perturbation theory) and numerically (via a full simulation of the disorder). The IR dynamical critical exponent increases with the magnitude of disorder, probably tending to $z \to \infty$ in the limit of infinite disorder.

7.965366

7.279872

8.314171

7.472081

6.959517

7.574414

8.208057

7.515405

7.758191

8.540921

7.094975

6.953754

7.957524

7.323902

7.309455

7.226018

7.2082

7.282986

7.343196

7.701454

7.109286

2309.15892

Danai Roumelioti

Spyros Konitopoulos, Danai Roumelioti, George Zoupanos

Unification of Gravity and Internal Interactions

null

Fortschr. Phys. 2023, 2300226

10.1002/prop.202300226

null

hep-th hep-ph

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

In the gauge theoretic approach of gravity, General Relativity is described by gauging the symmetry of the tangent manifold in four dimensions. Usually the dimension of the tangent space is considered to be equal to the dimension of the curved manifold. However, the tangent group of a manifold of dimension $d$ is not necessarily $SO_d$. It has been suggested earlier that by gauging an enlarged symmetry of the tangent space in four dimensions one could unify gravity with internal interactions. Here we consider such a unified model by gauging the $SO_{(1,17)}$ as the extended Lorentz group overcoming in this way some difficulties of the previous attempts of similar unification and eventually we obtain the $SO_{10}$ GUT, supplemented by an $SU_2 \times SU_2$ global symmetry.

[ { "created": "Wed, 27 Sep 2023 17:16:50 GMT", "version": "v1" } ]

2023-11-16

[ [ "Konitopoulos", "Spyros", "" ], [ "Roumelioti", "Danai", "" ], [ "Zoupanos", "George", "" ] ]

In the gauge theoretic approach of gravity, General Relativity is described by gauging the symmetry of the tangent manifold in four dimensions. Usually the dimension of the tangent space is considered to be equal to the dimension of the curved manifold. However, the tangent group of a manifold of dimension $d$ is not necessarily $SO_d$. It has been suggested earlier that by gauging an enlarged symmetry of the tangent space in four dimensions one could unify gravity with internal interactions. Here we consider such a unified model by gauging the $SO_{(1,17)}$ as the extended Lorentz group overcoming in this way some difficulties of the previous attempts of similar unification and eventually we obtain the $SO_{10}$ GUT, supplemented by an $SU_2 \times SU_2$ global symmetry.

8.700332

9.818486

9.105678

8.872926

9.249457

8.590045

9.559026

8.385937

8.937666

9.561541

8.782169

8.579455

8.456264

8.342831

8.49964

8.617481

8.52117

8.428753

8.416212

8.521173

8.618019

1003.3190

Alexander Schenkel

Alexander Schenkel, Christoph F. Uhlemann

Field Theory on Curved Noncommutative Spacetimes

SIGMA Special Issue on Noncommutative Spaces and Fields

SIGMA 6 (2010), 061, 19 pages

10.3842/SIGMA.2010.061

null

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

http://creativecommons.org/licenses/by-nc-sa/3.0/

We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe noncommutative spacetimes by using (Abelian) Drinfel'd twists and the associated *-products and *-differential geometry. In particular, we allow for position dependent noncommutativity and do not restrict ourselves to the Moyal-Weyl deformation. We construct action functionals for real scalar fields on noncommutative curved spacetimes, and derive the corresponding deformed wave equations. We provide explicit examples of deformed Klein-Gordon operators for noncommutative Minkowski, de Sitter, Schwarzschild and Randall-Sundrum spacetimes, which solve the noncommutative Einstein equations. We study the construction of deformed Green's functions and provide a diagrammatic approach for their perturbative calculation. The leading noncommutative corrections to the Green's functions for our examples are derived.

[ { "created": "Tue, 16 Mar 2010 17:03:39 GMT", "version": "v1" }, { "created": "Tue, 3 Aug 2010 06:18:22 GMT", "version": "v2" } ]

2010-08-04

[ [ "Schenkel", "Alexander", "" ], [ "Uhlemann", "Christoph F.", "" ] ]

We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe noncommutative spacetimes by using (Abelian) Drinfel'd twists and the associated *-products and *-differential geometry. In particular, we allow for position dependent noncommutativity and do not restrict ourselves to the Moyal-Weyl deformation. We construct action functionals for real scalar fields on noncommutative curved spacetimes, and derive the corresponding deformed wave equations. We provide explicit examples of deformed Klein-Gordon operators for noncommutative Minkowski, de Sitter, Schwarzschild and Randall-Sundrum spacetimes, which solve the noncommutative Einstein equations. We study the construction of deformed Green's functions and provide a diagrammatic approach for their perturbative calculation. The leading noncommutative corrections to the Green's functions for our examples are derived.

4.89537

5.62238

6.207682

5.145776

5.154093

5.8624

5.619521

5.279426

5.047136

6.081207

5.10974

5.225593

5.356809

5.118661

5.041649

5.071829

5.229973

5.008493

5.000721

5.247143

4.988397

hep-th/0407093

Juan Antonio Nieto

J. A. Nieto

Chirotope Concept in Various Scenarios of Physics

19 pages, Latex

Rev.Mex.Fis. E51 (2005) 5-12

null

hep-th

null

We argue that the chirotope concept of oriented matroid theory may be found in different scenarios of physics, including classical mechanics, quantum mechanics, gauge field theory, p-branes formalism, two time physics and Matrix theory. Our observations may motivate the interest of possible applications of matroid theory in physics.

[ { "created": "Mon, 12 Jul 2004 18:49:54 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nieto", "J. A.", "" ] ]

We argue that the chirotope concept of oriented matroid theory may be found in different scenarios of physics, including classical mechanics, quantum mechanics, gauge field theory, p-branes formalism, two time physics and Matrix theory. Our observations may motivate the interest of possible applications of matroid theory in physics.

20.393663

13.540559

24.417553

14.011922

15.860309

12.943283

14.344226

13.797789

15.441725

24.672562

14.561794

16.339096

20.475634

17.480492

17.773926

15.874916

16.658869

17.225986

17.745598

20.281094

17.170734

hep-th/9407056

Robert Perry

Robert J. Perry (The Ohio State University)

Hamiltonian Light-Front Field Theory and Quantum Chromodynamics

corrected version of 1994 lectures, 84 pages, LATEX. Published in "Hadron Physics 94," Proceedings, Gramado, Brazil (World Scientific, 1995)

null

hep-th hep-ph nucl-th

null

Light-front coordinates offer a scenario in which a constituent picture of hadron structure can emerge from QCD, after several difficulties are addressed. Field theoretic difficulties force us to introduce cutoffs that violate Lorentz covariance and gauge invariance, and a new renormalization group formalism based on a similarity transformation is used with coupling coherence to fix cuonterterms that restore these symmetries. The counterterms contain functions of longitudinal momentum fractions that severely complicate renormalization, but they also offer possible resolutions of apparent contradictions between the constituent picture and QCD. The similarity transformation and coupling coherence are applied to QED; and it is shown that the resultant Hamiltonian leads to standard lowest order bound state results, with the Coulomb interaction emerging naturally. The same techniques are applied to QCD and with physically motivated assumptions it is shown that a simple confinement mechanism appears.

[ { "created": "Mon, 11 Jul 1994 18:27:51 GMT", "version": "v1" }, { "created": "Wed, 9 Jul 1997 02:21:02 GMT", "version": "v2" } ]

2008-02-03

[ [ "Perry", "Robert J.", "", "The Ohio State University" ] ]

Light-front coordinates offer a scenario in which a constituent picture of hadron structure can emerge from QCD, after several difficulties are addressed. Field theoretic difficulties force us to introduce cutoffs that violate Lorentz covariance and gauge invariance, and a new renormalization group formalism based on a similarity transformation is used with coupling coherence to fix cuonterterms that restore these symmetries. The counterterms contain functions of longitudinal momentum fractions that severely complicate renormalization, but they also offer possible resolutions of apparent contradictions between the constituent picture and QCD. The similarity transformation and coupling coherence are applied to QED; and it is shown that the resultant Hamiltonian leads to standard lowest order bound state results, with the Coulomb interaction emerging naturally. The same techniques are applied to QCD and with physically motivated assumptions it is shown that a simple confinement mechanism appears.

16.236595

12.09408

17.233852

13.951686

14.418555

12.890676

12.831352

13.935925

14.185583

16.751249

14.23828

15.072969

16.095043

15.645858

15.317413

15.478056

14.928585

15.633493

15.629654

16.653381

15.59651

hep-th/9406012

M. B. Green

Michael B. Green and Joe Polchinski

Summing Over World-Sheet Boundaries

10 pages

Phys.Lett.B335:377-382,1994

10.1016/0370-2693(94)90367-0

DAMTP/94-38;NSF-ITP-94-52

hep-th

null

The moduli associated with boundaries in a Riemann surface are parametrized by the positions and strengths of electric charges. This suggests a method for summing over orientable Riemann surfaces with Dirichlet boundary conditions on the embedding coordinates. A light-cone parameterization of such boundaries is also discussed.

[ { "created": "Fri, 3 Jun 1994 08:16:10 GMT", "version": "v1" } ]

2009-10-09

[ [ "Green", "Michael B.", "" ], [ "Polchinski", "Joe", "" ] ]

The moduli associated with boundaries in a Riemann surface are parametrized by the positions and strengths of electric charges. This suggests a method for summing over orientable Riemann surfaces with Dirichlet boundary conditions on the embedding coordinates. A light-cone parameterization of such boundaries is also discussed.

17.874701

16.374239

17.142288

15.128738

15.81378

15.191434

15.275765

14.414431

14.378233

18.652098

14.489403

13.74363

14.556275

13.770518

15.083521

14.364401

15.41646

14.120389

14.067833

15.485431

14.012424

1308.4400

Theodore Erler

Analytic Solution for Tachyon Condensation in Berkovits' Open Superstring Field Theory

v2: 43 pages, 6 figures. Minor corrections, references added

JHEP 1311 (2013) 007

10.1007/JHEP11(2013)007

null

hep-th

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

We present an analytic solution for tachyon condensation on a non-BPS D-brane in Berkovits' open superstring field theory. The solution is presented as a product of $2\times 2$ matrices in two distinct $GL_2$ subgroups of the open string star algebra. All string fields needed for computation of the nonpolynomial action can be derived in closed form, and the action produces the expected non-BPS D-brane tension in accordance with Sen's conjecture. We also comment on how D-brane charges may be encoded in the topology of the tachyon vacuum gauge orbit.

[ { "created": "Tue, 20 Aug 2013 20:00:00 GMT", "version": "v1" }, { "created": "Tue, 17 Sep 2013 13:45:43 GMT", "version": "v2" } ]

2015-06-16

[ [ "Erler", "Theodore", "" ] ]

We present an analytic solution for tachyon condensation on a non-BPS D-brane in Berkovits' open superstring field theory. The solution is presented as a product of $2\times 2$ matrices in two distinct $GL_2$ subgroups of the open string star algebra. All string fields needed for computation of the nonpolynomial action can be derived in closed form, and the action produces the expected non-BPS D-brane tension in accordance with Sen's conjecture. We also comment on how D-brane charges may be encoded in the topology of the tachyon vacuum gauge orbit.

7.606067

7.030129

10.403501

7.209967

7.191328

8.022598

7.42437

7.049821

7.097719

11.927655

7.370019

7.412432

8.424983

7.124961

7.367031

7.309179

7.243413

7.422985

7.169224

8.086677

7.290968

1808.06744

Brian Willett

P. Marcos Crichigno, Dharmesh Jain, and Brian Willett

5d Partition Functions with A Twist

Corrected typos, updated references, and added clarifying comments in Section 5

JHEP 1811 (2018) 058

10.1007/JHEP11(2018)058

null

hep-th

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

We derive the partition function of 5d ${\cal N}=1$ gauge theories on the manifold $S^3_b \times \Sigma_{\frak g}$ with a partial topological twist along the Riemann surface, $\Sigma_{\frak g}$. This setup is a higher dimensional uplift of the two-dimensional A-twist, and the result can be expressed as a sum over solutions of Bethe-Ansatz-type equations, with the computation receiving nontrivial non-perturbative contributions. We study this partition function in the large $N$ limit, where it is related to holographic RG flows between asymptotically locally AdS$_6$ and AdS$_4$ spacetimes, reproducing known holographic relations between the corresponding free energies on $S^{5}$ and $S^{3}$ and predicting new ones. We also consider cases where the 5d theory admits a UV completion as a 6d SCFT, such as the maximally supersymmetric ${\cal N}=2$ Yang-Mills theory, in which case the partition function computes the 4d index of general class ${\cal S}$ theories, which we verify in certain simplifying limits. Finally, we comment on the generalization to ${\cal M}_3 \times \Sigma_{\frak g}$ with more general three-manifolds ${\cal M}_3$ and focus in particular on ${\cal M}_3=\Sigma_{\frak g'}\times S^{1}$, in which case the partition function relates to the entropy of black holes in AdS$_6$.

[ { "created": "Tue, 21 Aug 2018 03:07:35 GMT", "version": "v1" }, { "created": "Tue, 11 Sep 2018 16:45:16 GMT", "version": "v2" } ]

2018-12-05

[ [ "Crichigno", "P. Marcos", "" ], [ "Jain", "Dharmesh", "" ], [ "Willett", "Brian", "" ] ]

We derive the partition function of 5d ${\cal N}=1$ gauge theories on the manifold $S^3_b \times \Sigma_{\frak g}$ with a partial topological twist along the Riemann surface, $\Sigma_{\frak g}$. This setup is a higher dimensional uplift of the two-dimensional A-twist, and the result can be expressed as a sum over solutions of Bethe-Ansatz-type equations, with the computation receiving nontrivial non-perturbative contributions. We study this partition function in the large $N$ limit, where it is related to holographic RG flows between asymptotically locally AdS$_6$ and AdS$_4$ spacetimes, reproducing known holographic relations between the corresponding free energies on $S^{5}$ and $S^{3}$ and predicting new ones. We also consider cases where the 5d theory admits a UV completion as a 6d SCFT, such as the maximally supersymmetric ${\cal N}=2$ Yang-Mills theory, in which case the partition function computes the 4d index of general class ${\cal S}$ theories, which we verify in certain simplifying limits. Finally, we comment on the generalization to ${\cal M}_3 \times \Sigma_{\frak g}$ with more general three-manifolds ${\cal M}_3$ and focus in particular on ${\cal M}_3=\Sigma_{\frak g'}\times S^{1}$, in which case the partition function relates to the entropy of black holes in AdS$_6$.

5.141912

4.663703

5.795557

4.804863

4.841352

5.017765

4.918708

4.721807

4.572123

5.974346

4.739393

4.866036

5.330337

4.908395

4.938678

4.910311

5.054194

4.829996

4.740744

5.179913

4.861039

0907.1973

Mohamed Chakhad

Kundt spacetimes of massive gravity in three dimensions

31 pages, 7 figures

null

UTTG-07-07

hep-th gr-qc

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

We study Kundt solutions of topologically massive gravity (TMG) and the new theory of massive gravity (NMG), proposed recently in arXiv:0901.1766. For topologically massive gravity, only the CSI Kundt solutions (i.e., solutions with constant scalar polynomial curvature invariants) were found very recently in arXiv:0906.3559. We find non-CSI explicit solutions of TMG, when $\Lambda=-\mu^2$, and these are the first such solutions. For the new theory of massive gravity, after reducing the field equations to a manageable system of differential equations, the CSI solutions are discussed in detail, with a focus on a subfamily whose solutions are particulary easy to describe. A number of properties of Kundt solutions of TMG and NMG, such as an identification of solutions which lie at the intersection of the full non-linear and linearized theories, are also derived.

[ { "created": "Sat, 11 Jul 2009 16:14:21 GMT", "version": "v1" } ]

2009-07-15

[ [ "Chakhad", "Mohamed", "" ] ]

We study Kundt solutions of topologically massive gravity (TMG) and the new theory of massive gravity (NMG), proposed recently in arXiv:0901.1766. For topologically massive gravity, only the CSI Kundt solutions (i.e., solutions with constant scalar polynomial curvature invariants) were found very recently in arXiv:0906.3559. We find non-CSI explicit solutions of TMG, when $\Lambda=-\mu^2$, and these are the first such solutions. For the new theory of massive gravity, after reducing the field equations to a manageable system of differential equations, the CSI solutions are discussed in detail, with a focus on a subfamily whose solutions are particulary easy to describe. A number of properties of Kundt solutions of TMG and NMG, such as an identification of solutions which lie at the intersection of the full non-linear and linearized theories, are also derived.

9.311457

9.689622

9.975079

8.907662

9.178963

9.326652

10.06216

9.648409

9.546224

9.833001

9.566052

9.197762

9.164526

8.914669

9.219846

8.964461

8.654531

9.103116

9.119884

9.643785

8.671481

2009.03369

Rafael Bravo

Rafael Bravo and Gonzalo A. Palma

Unifying attractor and non-attractor models of inflation under a single soft theorem

13 pages; v5: matches published version in Phys Rev D. We included a discussion regarding adiabaticity during USR-SR transitions

null

10.1103/PhysRevD.107.043524

null

hep-th astro-ph.CO

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

We study the generation of local non-Gaussianity in models of canonical single field inflation when their backgrounds are either attractor or non-attractor. We show that the invariance of inflation under space-time diffeomorphisms can be exploited to make powerful statements about the squeezed limit of the primordial bispectrum of curvature perturbations, valid to all orders in slow roll parameters. In particular, by neglecting departures from the adiabatic evolution of long-wavelength modes (for instance, produced in sharp transitions between slow-roll and ultra slow-roll phases), we derive a general expression for the bispectrum's squeezed limit in co-moving coordinates. This result consists in the standard Maldacena's consistency relation (proportional to the spectral index of the power spectrum) plus additional terms containing time derivatives of the power spectrum. In addition, we show that it is always possible to write the perturbed metric in conformal Fermi coordinates, independently of whether the inflationary background is attractor or non-attractor, allowing the computation of the physical primordial bispectrum's squeezed limit as observed by local inertial observers. We find that in the absence of sudden transitions between attractor and non-attractor regimes, observable local non-Gaussianity is generically suppressed. Our results imply that large local non-Gaussianity is not a generic consequence of non-attractor backgrounds.

[ { "created": "Mon, 7 Sep 2020 18:46:16 GMT", "version": "v1" }, { "created": "Mon, 16 Nov 2020 15:48:15 GMT", "version": "v2" }, { "created": "Wed, 24 Feb 2021 23:54:28 GMT", "version": "v3" }, { "created": "Thu, 2 Sep 2021 15:52:38 GMT", "version": "v4" }, { "created": "Wed, 12 Apr 2023 15:20:25 GMT", "version": "v5" } ]

2023-04-13

[ [ "Bravo", "Rafael", "" ], [ "Palma", "Gonzalo A.", "" ] ]

We study the generation of local non-Gaussianity in models of canonical single field inflation when their backgrounds are either attractor or non-attractor. We show that the invariance of inflation under space-time diffeomorphisms can be exploited to make powerful statements about the squeezed limit of the primordial bispectrum of curvature perturbations, valid to all orders in slow roll parameters. In particular, by neglecting departures from the adiabatic evolution of long-wavelength modes (for instance, produced in sharp transitions between slow-roll and ultra slow-roll phases), we derive a general expression for the bispectrum's squeezed limit in co-moving coordinates. This result consists in the standard Maldacena's consistency relation (proportional to the spectral index of the power spectrum) plus additional terms containing time derivatives of the power spectrum. In addition, we show that it is always possible to write the perturbed metric in conformal Fermi coordinates, independently of whether the inflationary background is attractor or non-attractor, allowing the computation of the physical primordial bispectrum's squeezed limit as observed by local inertial observers. We find that in the absence of sudden transitions between attractor and non-attractor regimes, observable local non-Gaussianity is generically suppressed. Our results imply that large local non-Gaussianity is not a generic consequence of non-attractor backgrounds.

6.723342

7.717588

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6.702415

7.137336

7.776345

7.39113

6.919711

6.710304

7.437387

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6.823063

6.695558

6.729271

6.938621

6.913485

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6.697543

6.995959

6.675344