LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9904150

C. Hofman

C. Hofman and J.-S. Park

Sigma Models for Bundles on Calabi-Yau: A Proposal for Matrix String Compactifications

41 pages

Nucl.Phys. B561 (1999) 125-156

10.1016/S0550-3213(99)00548-9

SPIN-99/8, ITFA-99-4

hep-th

null

We describe a class of supersymmetric gauged linear sigma-model, whose target space is the infinite dimensional space of bundles on a Calabi-Yau 3- or 2-fold. This target space can be considered the configuration space of D-branes wrapped around the Calabi-Yau. We propose that this model can be used to define matrix string theory compactifications. In the infrared limit the model flows to a superconformal non-linear sigma-model whose target space is the moduli space of BPS configurations of branes on the compact space, containing the moduli space of semi-stable bundles. We argue that the bulk degrees of freedom decouple in the infrared limit if semi-stability implies stability. We study topological versions of the model on Calabi-Yau 3-folds. The resulting B-model is argued to be equivalent to the holomorphic Chern-Simons theory proposed by Witten. The A-model and half-twisted model define the quantum cohomology ring and the elliptic genus, respectively, of the moduli space of stable bundles on a Calabi-Yau 3-fold.

[ { "created": "Thu, 22 Apr 1999 13:26:13 GMT", "version": "v1" }, { "created": "Wed, 25 Aug 1999 13:29:19 GMT", "version": "v2" } ]

2009-10-31

[ [ "Hofman", "C.", "" ], [ "Park", "J. -S.", "" ] ]

We describe a class of supersymmetric gauged linear sigma-model, whose target space is the infinite dimensional space of bundles on a Calabi-Yau 3- or 2-fold. This target space can be considered the configuration space of D-branes wrapped around the Calabi-Yau. We propose that this model can be used to define matrix string theory compactifications. In the infrared limit the model flows to a superconformal non-linear sigma-model whose target space is the moduli space of BPS configurations of branes on the compact space, containing the moduli space of semi-stable bundles. We argue that the bulk degrees of freedom decouple in the infrared limit if semi-stability implies stability. We study topological versions of the model on Calabi-Yau 3-folds. The resulting B-model is argued to be equivalent to the holomorphic Chern-Simons theory proposed by Witten. The A-model and half-twisted model define the quantum cohomology ring and the elliptic genus, respectively, of the moduli space of stable bundles on a Calabi-Yau 3-fold.

5.510493

5.682738

6.554948

5.457755

5.844667

5.688203

5.671338

5.644804

5.536099

6.894789

5.45581

5.38317

5.648586

5.303077

5.3384

5.406332

5.376219

5.381715

5.316525

5.517278

5.248845

1302.2488

Mario Tonin

On Semiclassical Equivalence of Green-Schwarz and Pure Spinor Strings in AdS(5) x S(5)

26 pages, v2: comments and references added, misprints corrected

null

10.1088/1751-8113/46/24/245401

null

hep-th

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

We present a method to study the equivalence at the semiclassical level of the Green-Schwarz and pure spinor formulations of String Theory in AdS(5) x S(5). This method provides a clear separation of the physical and unphysical sectors of the pure spinor formulation and allows one to prove that the two models have not only equal spectra for the fermionic fluctuations but also equal conformal weights (the bosonic ones being equal by construction).

[ { "created": "Mon, 11 Feb 2013 14:46:06 GMT", "version": "v1" }, { "created": "Tue, 14 May 2013 15:45:32 GMT", "version": "v2" } ]

2015-06-15

[ [ "Tonin", "Mario", "" ] ]

We present a method to study the equivalence at the semiclassical level of the Green-Schwarz and pure spinor formulations of String Theory in AdS(5) x S(5). This method provides a clear separation of the physical and unphysical sectors of the pure spinor formulation and allows one to prove that the two models have not only equal spectra for the fermionic fluctuations but also equal conformal weights (the bosonic ones being equal by construction).

8.721344

7.226831

9.071666

7.458708

7.827052

7.455441

7.966645

7.074454

7.488296

9.157971

7.574123

7.825901

8.578939

7.608896

8.092536

8.140905

7.779303

7.944031

7.709314

8.697839

7.591933

1706.04335

Mohammad Ali-Akbari

M Lezgi, M. Ali-Akbari

AdS/QCD, Entanglement Entropy and Critical Temperature

4 pages, 3 figures

Phys. Rev. D 96, 086014 (2017)

10.1103/PhysRevD.96.086014

null

hep-th hep-ph

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

Based on gauge-gravity duality, by using holographic entanglement entropy, we have done a phenomenological study to probe confinement-deconfinement phase transition in the QCD-like gauge theory. Our outcomes are in perfect agreement with the expected results, qualitatively and quantitatively. We find out that the (holographic) entanglement entropy is a reliable order parameter for probing the phase transition.

[ { "created": "Wed, 14 Jun 2017 07:03:30 GMT", "version": "v1" }, { "created": "Sat, 5 Aug 2017 14:24:11 GMT", "version": "v2" } ]

2017-10-25

[ [ "Lezgi", "M", "" ], [ "Ali-Akbari", "M.", "" ] ]

Based on gauge-gravity duality, by using holographic entanglement entropy, we have done a phenomenological study to probe confinement-deconfinement phase transition in the QCD-like gauge theory. Our outcomes are in perfect agreement with the expected results, qualitatively and quantitatively. We find out that the (holographic) entanglement entropy is a reliable order parameter for probing the phase transition.

7.729032

6.345472

7.108796

6.362906

7.286756

6.704149

6.247541

6.405583

6.029439

6.976066

6.166534

6.429595

6.882949

6.8643

6.588713

6.424017

6.637484

6.71529

6.516959

7.095972

6.464581

hep-th/0009202

Shin'ichi Nojiri

Shin'ichi Nojiri and Sergei D. Odintsov

Quantum dilatonic gravity in d = 2,4 and 5 dimensions

LaTeX file, 92 pages, to appear in IJMPA review section

Int.J.Mod.Phys.A16:1015-1108,2001

10.1142/S0217751X01002968

null

hep-th

null

We review (mainly) quantum effects in the theories where gravity sector is described by metric and dilaton. The one-loop effective action for dilatonic gravity in two and four dimensions is evaluated. Renormalization group equations are constructed. The conformal anomaly and induced effective action for 2d and 4d dilaton coupled theories are found. It is applied to study of quantum aspects of black hole thermodynamics, like calculation of Hawking radiation and quantum corrections to black hole parameters and investigation of quantum instability for such objects with multiple horizons. The use of above effective action in the construction of non-singular cosmological models in Einstein or Brans-Dicke (super)gravity and investigation of induced wormholes in supersymmetric Yang-Mills theory are given. 5d dilatonic gravity (bosonic sector of compactified IIB supergravity) is discussed in connection with bulk/boundary (or AdS/CFT) correspondence. Running gauge coupling and quark-antiquark potential for boundary gauge theory at zero or non-zero temperature are calculated from d=5 dilatonic Anti-de Sitter-like background solution which represents Anti-de Sitter black hole for periodic time.

[ { "created": "Tue, 26 Sep 2000 14:05:18 GMT", "version": "v1" } ]

2009-09-17

[ [ "Nojiri", "Shin'ichi", "" ], [ "Odintsov", "Sergei D.", "" ] ]

We review (mainly) quantum effects in the theories where gravity sector is described by metric and dilaton. The one-loop effective action for dilatonic gravity in two and four dimensions is evaluated. Renormalization group equations are constructed. The conformal anomaly and induced effective action for 2d and 4d dilaton coupled theories are found. It is applied to study of quantum aspects of black hole thermodynamics, like calculation of Hawking radiation and quantum corrections to black hole parameters and investigation of quantum instability for such objects with multiple horizons. The use of above effective action in the construction of non-singular cosmological models in Einstein or Brans-Dicke (super)gravity and investigation of induced wormholes in supersymmetric Yang-Mills theory are given. 5d dilatonic gravity (bosonic sector of compactified IIB supergravity) is discussed in connection with bulk/boundary (or AdS/CFT) correspondence. Running gauge coupling and quark-antiquark potential for boundary gauge theory at zero or non-zero temperature are calculated from d=5 dilatonic Anti-de Sitter-like background solution which represents Anti-de Sitter black hole for periodic time.

11.458578

9.762899

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10.429364

11.027068

10.420749

10.966009

10.760756

11.145717

12.311491

10.19034

10.965695

11.587638

11.170559

11.098413

11.135661

11.267562

10.881195

11.057633

11.674876

10.94174

1012.0274

Juan Maldacena

Vacuum decay into Anti de Sitter space

9 pages, 2 figures

null

hep-th

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

We propose an interpretation of decays of a false vacuum into an $AdS$ region. The $AdS$ region is interpreted in terms of a dual field theory living on an end of the world brane which expands into the false vacuum.

[ { "created": "Wed, 1 Dec 2010 18:53:46 GMT", "version": "v1" }, { "created": "Mon, 10 Jan 2011 14:24:21 GMT", "version": "v2" } ]

2011-01-11

[ [ "Maldacena", "Juan", "" ] ]

We propose an interpretation of decays of a false vacuum into an $AdS$ region. The $AdS$ region is interpreted in terms of a dual field theory living on an end of the world brane which expands into the false vacuum.

11.797645

8.183783

9.66059

6.85307

8.381495

7.290212

6.610212

8.665993

7.029693

8.60245

8.218472

8.338058

10.585838

8.718254

8.865189

8.793912

8.412631

7.994009

9.047029

10.003806

8.43526

1207.4368

Jonas Pollok

George Jorjadze, Jan Plefka, Jonas Pollok

Bosonic String Quantization in Static Gauge

10 pages

null

10.1088/1751-8113/45/48/485401

HU-EP-12/22

hep-th

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

The bosonic string in D dimensional Minkowski space-time is quantized in static gauge. It is shown that the system can be described by D-1 massless free fields constrained on the surface L_m = 0, for m \neq 0, where L_m are the generators of conformal transformations. The free fields are quantized and the physical states are selected by the conditions L_m|phys>=0, for m>0. The Poincar\'e group generators on the physical Hilbert space are constructed and the critical dimension D=26 is recovered from the commutation relations of the boost operators. The equivalence with the covariant quantization is established. A possible generalization to the AdS string dynamics is discussed.

[ { "created": "Wed, 18 Jul 2012 13:10:43 GMT", "version": "v1" } ]

2015-06-05

[ [ "Jorjadze", "George", "" ], [ "Plefka", "Jan", "" ], [ "Pollok", "Jonas", "" ] ]

The bosonic string in D dimensional Minkowski space-time is quantized in static gauge. It is shown that the system can be described by D-1 massless free fields constrained on the surface L_m = 0, for m \neq 0, where L_m are the generators of conformal transformations. The free fields are quantized and the physical states are selected by the conditions L_m|phys>=0, for m>0. The Poincar\'e group generators on the physical Hilbert space are constructed and the critical dimension D=26 is recovered from the commutation relations of the boost operators. The equivalence with the covariant quantization is established. A possible generalization to the AdS string dynamics is discussed.

6.120461

6.211015

6.050217

5.855225

5.986477

5.626332

5.5505

5.768413

5.620759

6.657706

5.806593

5.575299

5.834143

5.506482

5.467734

5.614522

5.537863

5.507634

5.606229

5.777822

5.68124

hep-th/0009065

Philip Mannheim

Philip D. Mannheim (U. Connecticut and MIT)

Constraints on $AdS_5$ Embeddings

RevTeX, 9 pages (updated version v2, conclusions unchanged after extension to the non-static case)

Phys.Rev. D64 (2001) 065008

10.1103/PhysRevD.64.065008

MIT-CTP-2989

hep-th

null

We show that the embedding of either a static or a time dependent maximally 3-symmetric brane with non-zero spatial curvature $k$ into a non-compactified $AdS_5$ bulk does not yield exponential suppression of the geometry away from the brane. Implications of this result for brane-localized gravity are discussed.

[ { "created": "Fri, 8 Sep 2000 20:24:52 GMT", "version": "v1" }, { "created": "Tue, 6 Mar 2001 01:35:08 GMT", "version": "v2" } ]

2009-10-31

[ [ "Mannheim", "Philip D.", "", "U. Connecticut and MIT" ] ]

We show that the embedding of either a static or a time dependent maximally 3-symmetric brane with non-zero spatial curvature $k$ into a non-compactified $AdS_5$ bulk does not yield exponential suppression of the geometry away from the brane. Implications of this result for brane-localized gravity are discussed.

11.720446

9.183006

9.365282

9.11395

9.20616

9.230896

8.642143

9.266609

9.08236

9.950427

9.785964

9.89702

10.115232

9.734903

10.314198

10.144847

10.459663

10.005535

10.47636

9.886711

10.142945

1910.12791

Louise Dolan

Louise Dolan and Peter Goddard

Off-Shell CHY Amplitudes and Feynman Graphs

19 pages, clarification of equations (1.13), (3.7), (3.9), added Comments, corrected reference

null

10.1007/JHEP04(2020)141

null

hep-th

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

A polynomial form is established for the off-shell CHY scattering equations proposed by Lam and Yao. Re-expressing this in terms of independent Mandelstam invariants provides a new expression for the polynomial scattering equations, immediately valid off shell, which makes it evident that they yield the off-shell amplitudes given by massless $\phi^3$ Feynman graphs. A CHY expression for individual Feynman graphs, valid even off shell, is established through a recurrence relation.

[ { "created": "Mon, 28 Oct 2019 16:42:34 GMT", "version": "v1" }, { "created": "Thu, 28 Nov 2019 17:32:55 GMT", "version": "v2" }, { "created": "Mon, 27 Apr 2020 20:52:57 GMT", "version": "v3" } ]

2020-04-29

[ [ "Dolan", "Louise", "" ], [ "Goddard", "Peter", "" ] ]

A polynomial form is established for the off-shell CHY scattering equations proposed by Lam and Yao. Re-expressing this in terms of independent Mandelstam invariants provides a new expression for the polynomial scattering equations, immediately valid off shell, which makes it evident that they yield the off-shell amplitudes given by massless $\phi^3$ Feynman graphs. A CHY expression for individual Feynman graphs, valid even off shell, is established through a recurrence relation.

15.970441

13.556998

14.362898

13.753112

15.561421

13.740881

13.946771

15.155796

14.58667

19.386866

13.470932

14.19327

14.021022

14.150939

13.970699

14.024827

14.392315

13.851254

13.689226

13.916152

13.623849

hep-th/9807040

Calin Iuliu Lazaroiu

B. R. Greene, C. I. Lazaroiu, Piljin Yi

D-particles on T^4/Z_n orbifolds and their resolutions

34 pages, 3 figures; very minor typos corrected, 2 references added

Nucl.Phys. B539 (1999) 135-165

10.1016/S0550-3213(98)00754-8

CU-TP-899, CLNS-98/1566

hep-th

null

We formulate the effective field theory of a D-particle on orbifolds of $T^4$ by a cyclic group as a gauge theory in a $V$-bundle over the dual orbifold. We argue that this theory admits Fayet-Iliopoulos terms analogous to those present in the case of noncompact orbifolds. In the $n=2$ case, we present some evidence that turning on such terms resolves the orbifold singularities and may lead to a $K3$ surface realized as a blow up of the fixed points of the cyclic group action.

[ { "created": "Mon, 6 Jul 1998 03:29:55 GMT", "version": "v1" }, { "created": "Thu, 5 Nov 1998 20:43:30 GMT", "version": "v2" } ]

2009-10-31

[ [ "Greene", "B. R.", "" ], [ "Lazaroiu", "C. I.", "" ], [ "Yi", "Piljin", "" ] ]

We formulate the effective field theory of a D-particle on orbifolds of $T^4$ by a cyclic group as a gauge theory in a $V$-bundle over the dual orbifold. We argue that this theory admits Fayet-Iliopoulos terms analogous to those present in the case of noncompact orbifolds. In the $n=2$ case, we present some evidence that turning on such terms resolves the orbifold singularities and may lead to a $K3$ surface realized as a blow up of the fixed points of the cyclic group action.

9.83989

9.156807

10.378932

8.134536

8.659885

8.830051

8.376845

8.026367

8.073356

10.671897

8.816733

8.456369

9.492974

8.652767

8.615156

8.62654

8.850037

8.684794

8.838632

9.299418

8.795518

0808.2354

Xian-Hui Ge

Xian-Hui Ge, Yoshinori Matsuo, Fu-Wen Shu, Sang-Jin Sin, Takuya Tsukioka

Viscosity Bound, Causality Violation and Instability with Stringy Correction and Charge

1+18 pages, 1 table+6 figures, typos corrected, references added, matches published version

JHEP 0810:009,2008

10.1088/1126-6708/2008/10/009

APCTP-Pre2008-003

hep-th gr-qc hep-ph

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

Recently, it has been shown that if we consider the higher derivative correction, the viscosity bound conjectured to be $\eta/s=1/4\pi$ is violated and so is the causality. In this paper, we consider medium effect and the higher derivative correction simultaneously by adding charge and Gauss-Bonnet terms. We find that the viscosity bound violation is not changed by the charge. However, we find that two effects together create another instability for large momentum regime. We argue the presence of tachyonic modes and show it numerically. The stability of the black brane requires the Gauss-Bonnet coupling constant $\lambda$($=2\alpha'/l^2$) to be smaller than 1/24. We draw a phase diagram relevant to the instability in charge-coupling space.

[ { "created": "Mon, 18 Aug 2008 08:45:27 GMT", "version": "v1" }, { "created": "Fri, 22 Aug 2008 01:31:56 GMT", "version": "v2" }, { "created": "Fri, 3 Oct 2008 13:38:07 GMT", "version": "v3" } ]

2014-11-18

[ [ "Ge", "Xian-Hui", "" ], [ "Matsuo", "Yoshinori", "" ], [ "Shu", "Fu-Wen", "" ], [ "Sin", "Sang-Jin", "" ], [ "Tsukioka", "Takuya", "" ] ]

Recently, it has been shown that if we consider the higher derivative correction, the viscosity bound conjectured to be $\eta/s=1/4\pi$ is violated and so is the causality. In this paper, we consider medium effect and the higher derivative correction simultaneously by adding charge and Gauss-Bonnet terms. We find that the viscosity bound violation is not changed by the charge. However, we find that two effects together create another instability for large momentum regime. We argue the presence of tachyonic modes and show it numerically. The stability of the black brane requires the Gauss-Bonnet coupling constant $\lambda$($=2\alpha'/l^2$) to be smaller than 1/24. We draw a phase diagram relevant to the instability in charge-coupling space.

10.702958

10.397069

11.357445

9.711164

9.816965

10.231576

10.561839

9.788869

9.705159

12.356801

9.842336

9.450893

10.537904

9.526608

9.646589

9.421689

9.267924

9.826666

9.667594

10.45589

9.306211

hep-th/0003285

Yi Ling

Yi Ling and Lee Smolin

Eleven dimensional supergravity as a constrained topological field theory

15 pages+7, Appendix added

Nucl.Phys. B601 (2001) 191-208

10.1016/S0550-3213(01)00063-3

null

hep-th gr-qc

null

We describe a new first-order formulation of D=11 supergravity which shows that that theory can be understood to arise from a certain topological field theory by the imposition of a set of local constraints on the fields, plus a lagrange multiplier term. The topological field theory is of interest as the algebra of its constraints realizes the D=11 supersymmetry algebra with central charges.

[ { "created": "Thu, 30 Mar 2000 20:12:46 GMT", "version": "v1" }, { "created": "Sun, 3 Sep 2000 19:39:24 GMT", "version": "v2" } ]

2016-09-06

[ [ "Ling", "Yi", "" ], [ "Smolin", "Lee", "" ] ]

We describe a new first-order formulation of D=11 supergravity which shows that that theory can be understood to arise from a certain topological field theory by the imposition of a set of local constraints on the fields, plus a lagrange multiplier term. The topological field theory is of interest as the algebra of its constraints realizes the D=11 supersymmetry algebra with central charges.

11.749056

9.119743

9.148035

8.600938

9.463053

8.807168

8.378523

9.063256

8.33506

10.296642

8.969578

8.843514

9.44796

8.853745

9.227959

9.090679

9.172216

8.913778

9.36926

9.918219

9.293033

1505.06302

Stefano Cremonesi

Stefano Cremonesi, Giulia Ferlito, Amihay Hanany, Noppadol Mekareeya

Instanton Operators and the Higgs Branch at Infinite Coupling

v1: 35 pages + appendices. v2: published version with several changes, 37 pages + appendices

null

10.1007/JHEP04(2017)042

IMPERIAL-TP-15-AH-03, CERN-PH-TH-2015-115

hep-th

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

The richness of 5d $\mathcal{N}=1$ theories with a UV fixed point at infinite coupling is due to the existence of local disorder operators known as instanton operators. By considering the Higgs branch of $SU(2)$ gauge theories with $N_f \leq 7$ flavours at finite and infinite coupling, we write down the explicit chiral ring relations between instanton operators, the glueball superfield and mesons. Exciting phenomena appear at infinite coupling: the glueball superfield is no longer nilpotent and the classical chiral ring relations are quantum corrected by instanton operators bilinears. We also find expressions for the dressing of instanton operators of arbitrary charge. The same analysis is performed for $USp(2k)$ with an antisymmetric hypermultiplet and pure $SU(N)$ gauge theories.

[ { "created": "Sat, 23 May 2015 10:19:50 GMT", "version": "v1" }, { "created": "Fri, 16 Jun 2017 15:39:32 GMT", "version": "v2" } ]

2017-06-19

[ [ "Cremonesi", "Stefano", "" ], [ "Ferlito", "Giulia", "" ], [ "Hanany", "Amihay", "" ], [ "Mekareeya", "Noppadol", "" ] ]

The richness of 5d $\mathcal{N}=1$ theories with a UV fixed point at infinite coupling is due to the existence of local disorder operators known as instanton operators. By considering the Higgs branch of $SU(2)$ gauge theories with $N_f \leq 7$ flavours at finite and infinite coupling, we write down the explicit chiral ring relations between instanton operators, the glueball superfield and mesons. Exciting phenomena appear at infinite coupling: the glueball superfield is no longer nilpotent and the classical chiral ring relations are quantum corrected by instanton operators bilinears. We also find expressions for the dressing of instanton operators of arbitrary charge. The same analysis is performed for $USp(2k)$ with an antisymmetric hypermultiplet and pure $SU(N)$ gauge theories.

7.769359

7.947864

10.023297

7.288161

7.23981

7.769214

7.801543

7.440152

7.673277

9.983199

7.670208

7.146822

8.315143

7.547711

7.315718

7.370513

7.524272

7.588848

7.288829

7.923036

7.181993

1207.4998

Fedele Lizzi

Fedele Lizzi and Bernardino Spisso

Noncommutative Field Theory: Numerical Analysis with the Fuzzy Disc

Typos corrected. Some references added

null

10.1142/S0217751X12501370

ICCUB-12-312

hep-th math-ph math.MP

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

The fuzzy disc is a discretization of the algebra of functions on the two dimensional disc using finite matrices which preserves the action of the rotation group. We define a $\varphi^4$ scalar field theory on it and analyze numerically for three different limits for the rank of the matrix going to infinity. The numerical simulations reveal three different phases: uniform and disordered phases already the present in the commutative scalar field theory and a nonuniform ordered phase as a noncommutative effects. We have computed the transition curves between phases and their scaling. This is in agreement with studies on the fuzzy sphere, although the speed of convergence for the disc seems to be better. We have performed also three the limits for the theory in the cases of the theory going to the commutative plane or commutative disc. In this case the theory behaves differently, showing the intimate relationship between the nonuniform phase and noncommutative geometry.

[ { "created": "Fri, 20 Jul 2012 16:57:42 GMT", "version": "v1" }, { "created": "Sat, 28 Jul 2012 10:18:24 GMT", "version": "v2" } ]

2015-06-05

[ [ "Lizzi", "Fedele", "" ], [ "Spisso", "Bernardino", "" ] ]

The fuzzy disc is a discretization of the algebra of functions on the two dimensional disc using finite matrices which preserves the action of the rotation group. We define a $\varphi^4$ scalar field theory on it and analyze numerically for three different limits for the rank of the matrix going to infinity. The numerical simulations reveal three different phases: uniform and disordered phases already the present in the commutative scalar field theory and a nonuniform ordered phase as a noncommutative effects. We have computed the transition curves between phases and their scaling. This is in agreement with studies on the fuzzy sphere, although the speed of convergence for the disc seems to be better. We have performed also three the limits for the theory in the cases of the theory going to the commutative plane or commutative disc. In this case the theory behaves differently, showing the intimate relationship between the nonuniform phase and noncommutative geometry.

15.589317

13.026166

15.307579

12.303716

14.124317

13.378017

14.073043

12.378465

12.879709

17.595251

12.351956

13.363562

14.428187

13.17275

12.772803

13.027144

13.227346

13.411448

13.359678

15.432497

13.342868

hep-th/9404151

Paul Aspinwall

P.S. Aspinwall and D.R. Morrison

String Theory on K3 Surfaces

14 pages

Mirror Symmetry II (B. Greene and S.-T. Yau, eds.), International Press, Cambridge, 1997, pp. 703-716

null

DUK-TH-94-68, IASSNS-HEP-94/23

hep-th alg-geom math.AG

null

The moduli space of N=(4,4) string theories with a K3 target space is determined, establishing in particular that the discrete symmetry group is the full integral orthogonal group of an even unimodular lattice of signature (4,20). The method combines an analysis of the classical theory of K3 moduli spaces with mirror symmetry. A description of the moduli space is also presented from the viewpoint of quantum geometry, and consequences are drawn concerning mirror symmetry for algebraic K3 surfaces.

[ { "created": "Sun, 24 Apr 1994 18:38:09 GMT", "version": "v1" } ]

2008-02-03

[ [ "Aspinwall", "P. S.", "" ], [ "Morrison", "D. R.", "" ] ]

The moduli space of N=(4,4) string theories with a K3 target space is determined, establishing in particular that the discrete symmetry group is the full integral orthogonal group of an even unimodular lattice of signature (4,20). The method combines an analysis of the classical theory of K3 moduli spaces with mirror symmetry. A description of the moduli space is also presented from the viewpoint of quantum geometry, and consequences are drawn concerning mirror symmetry for algebraic K3 surfaces.

9.24465

8.951264

10.507083

7.683692

8.796124

8.410772

8.466496

8.603291

8.402815

11.505168

8.676064

8.336092

9.937455

8.529133

8.247785

8.388495

8.667259

8.371964

8.731233

9.076773

8.363325

hep-th/9704201

Parthasarathi Mitra

P. Mitra

Entropy of extremal black holes

Puri Workshop Talk, December 1996; LaTeX, 15 pages; minor changes

null

SINP/TNP/97-03

hep-th gr-qc

null

After summarizing the development of black hole thermodynamics in the seventies, we describe a recent microscopic model. This model suggests that the Bekenstein-Hawking area formula holds for extremal black holes as well as for ordinary (non-extremal) ones. On the other hand, semiclassical studies have suggested a discontinuity between non-extremal and extremal cases. We indicate how a reconciliation has been brought about by summing over topologies.

[ { "created": "Tue, 29 Apr 1997 10:59:36 GMT", "version": "v1" }, { "created": "Fri, 9 May 1997 07:35:55 GMT", "version": "v2" } ]

2008-02-03

[ [ "Mitra", "P.", "" ] ]

After summarizing the development of black hole thermodynamics in the seventies, we describe a recent microscopic model. This model suggests that the Bekenstein-Hawking area formula holds for extremal black holes as well as for ordinary (non-extremal) ones. On the other hand, semiclassical studies have suggested a discontinuity between non-extremal and extremal cases. We indicate how a reconciliation has been brought about by summing over topologies.

8.822876

7.857284

8.391079

7.809184

8.148767

7.734959

8.261762

7.859673

8.219519

8.56867

7.68586

7.597949

8.385338

7.826009

7.656127

7.746128

7.549527

7.747465

7.918594

8.155101

7.764451

hep-th/0503207

Ilka Brunner

Ilka Brunner and Matthias R. Gaberdiel

Matrix factorisations and permutation branes

50 pages, latex, no figures, references added, typos and minor mistakes corrected,notation made consistent, small error above (4.26) corrected

JHEP 0507:012,2005

10.1088/1126-6708/2005/07/012

null

hep-th

null

The description of B-type D-branes on a tensor product of two N=2 minimal models in terms of matrix factorisations is related to the boundary state description in conformal field theory. As an application we show that the D0- and D2-brane for a number of Gepner models are described by permutation boundary states. In some cases (including the quintic) the images of the D2-brane under the Gepner monodromy generate the full charge lattice.

[ { "created": "Sat, 26 Mar 2005 16:45:13 GMT", "version": "v1" }, { "created": "Fri, 15 Jul 2005 12:39:39 GMT", "version": "v2" }, { "created": "Mon, 12 Dec 2005 10:22:45 GMT", "version": "v3" } ]

2010-02-03

[ [ "Brunner", "Ilka", "" ], [ "Gaberdiel", "Matthias R.", "" ] ]

The description of B-type D-branes on a tensor product of two N=2 minimal models in terms of matrix factorisations is related to the boundary state description in conformal field theory. As an application we show that the D0- and D2-brane for a number of Gepner models are described by permutation boundary states. In some cases (including the quintic) the images of the D2-brane under the Gepner monodromy generate the full charge lattice.

11.15204

6.90694

12.441621

8.635986

7.900382

7.548035

7.64505

6.758442

8.512239

14.064241

7.54213

8.203578

10.751462

8.530189

8.56343

8.973011

8.390723

7.963123

8.460996

11.002379

8.429476

0907.1641

Sangmin Lee

Eunkyung Koh, Sangmin Lee, Sungjay Lee

Topological Chern-Simons Sigma Model

31 pages, no figure; v2. references added

JHEP 0909:122,2009

10.1088/1126-6708/2009/09/122

KIAS-P09037

hep-th

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

We consider topological twisting of recently constructed Chern-Simons-matter theories in three dimensions with N=4 or higher supersymmetry. We enumerate physically inequivalent twistings for each N, and find two different twistings for N=4, one for N=5,6, and four for N=8. We construct the two types of N=4 topological theories, which we call A/B-models, in full detail. The A-model has been recently studied by Kapustin and Saulina. The B-model is new and it consists solely of a Chern-Simons term of a complex gauge field up to BRST-exact terms. We also compare the new theories with topological Yang-Mills theories and find some interesting connections. In particular, the A-model seems to offer a new perspective on Casson invariant and its relation to Rozansky-Witten theory.

[ { "created": "Thu, 9 Jul 2009 18:43:15 GMT", "version": "v1" }, { "created": "Thu, 3 Sep 2009 02:27:52 GMT", "version": "v2" } ]

2009-10-12

[ [ "Koh", "Eunkyung", "" ], [ "Lee", "Sangmin", "" ], [ "Lee", "Sungjay", "" ] ]

We consider topological twisting of recently constructed Chern-Simons-matter theories in three dimensions with N=4 or higher supersymmetry. We enumerate physically inequivalent twistings for each N, and find two different twistings for N=4, one for N=5,6, and four for N=8. We construct the two types of N=4 topological theories, which we call A/B-models, in full detail. The A-model has been recently studied by Kapustin and Saulina. The B-model is new and it consists solely of a Chern-Simons term of a complex gauge field up to BRST-exact terms. We also compare the new theories with topological Yang-Mills theories and find some interesting connections. In particular, the A-model seems to offer a new perspective on Casson invariant and its relation to Rozansky-Witten theory.

7.375914

7.747156

8.40984

6.943396

7.78866

7.543469

7.065659

7.190679

7.06439

8.772393

7.234095

7.009782

7.569453

7.137351

7.351824

7.095401

7.123873

6.895616

7.126415

7.653935

7.015677

hep-th/0403174

Shahrokh Parvizi

Ali Imaanpur, Shahrokh Parvizi

N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2

12 pages, latex file; v2: minor corrections, references added

JHEP 0407 (2004) 010

10.1088/1126-6708/2004/07/010

null

hep-th

null

We study D-branes in the background of Euclidean AdS2xS2 with a graviphoton field turned on. As the background is not Ricci flat, the graviphoton field must have both self-dual and antiself-dual parts. This, in general, will break all the supersymmetries on the brane. However, we show that there exists a limit for which one can restore half of the supersymmetries. Further, we show that in this limit, the N=1/2 SYM Lagrangian on flat space can be lifted on to the Euclidean AdS2xS2 preserving the same amount of supersymmetries as in the flat case. We observe that without the C-dependent terms present in the action this lift is not possible.

[ { "created": "Wed, 17 Mar 2004 11:45:04 GMT", "version": "v1" }, { "created": "Mon, 26 Jul 2004 08:10:14 GMT", "version": "v2" } ]

2009-11-10

[ [ "Imaanpur", "Ali", "" ], [ "Parvizi", "Shahrokh", "" ] ]

We study D-branes in the background of Euclidean AdS2xS2 with a graviphoton field turned on. As the background is not Ricci flat, the graviphoton field must have both self-dual and antiself-dual parts. This, in general, will break all the supersymmetries on the brane. However, we show that there exists a limit for which one can restore half of the supersymmetries. Further, we show that in this limit, the N=1/2 SYM Lagrangian on flat space can be lifted on to the Euclidean AdS2xS2 preserving the same amount of supersymmetries as in the flat case. We observe that without the C-dependent terms present in the action this lift is not possible.

6.251225

5.89742

6.500916

5.825295

6.026169

5.961505

5.90613

5.90882

5.725248

6.76627

5.835884

5.684619

6.208431

5.790596

5.921791

5.897806

5.922749

5.816856

5.873009

6.188274

5.719059

hep-th/9306016

Palev Tchavpar

T. D. Palev

Quantisation of U$_q$[OSP(1/2N)] with Deformed Para-Bose Operators

7 pages, TeX, Preprint TWI-93-24 University of Ghent

J.Phys. A26 (1993) L1111-L1116

null

hep-th

null

The observation that $n$ pairs of para-Bose (pB) operators generate the universal enveloping algebra of the orthosymplectic Lie superalgebra $osp(1/2n)$ is used in order to define deformed pB operators. It is shown that these operators are an alternative to the Chevalley generators. On this background $U_q[osp(1/2n)]$, its "Cartan-Weyl" generators and their "supercommutation" relations are written down entirely in terms of deformed pB operators. An analog of the Poincare- Birkhoff-Witt theorem is formulated.

[ { "created": "Thu, 3 Jun 1993 08:36:41 GMT", "version": "v1" } ]

2007-05-23

[ [ "Palev", "T. D.", "" ] ]

The observation that $n$ pairs of para-Bose (pB) operators generate the universal enveloping algebra of the orthosymplectic Lie superalgebra $osp(1/2n)$ is used in order to define deformed pB operators. It is shown that these operators are an alternative to the Chevalley generators. On this background $U_q[osp(1/2n)]$, its "Cartan-Weyl" generators and their "supercommutation" relations are written down entirely in terms of deformed pB operators. An analog of the Poincare- Birkhoff-Witt theorem is formulated.

7.008797

5.90414

8.137174

6.318323

6.984527

6.08475

6.655548

6.020092

6.575575

7.086651

6.798066

6.578218

7.327836

6.577295

6.633846

6.392529

6.447695

6.640408

6.314089

7.653138

6.648536

2306.16490

Arthur Ferreira Vieira

Gustavo P. de Brito, Antonio D. Pereira, Arthur F. Vieira

Fate of chiral symmetry in Riemann-Cartan geometry

18 pages, 2 figures; typos corrected and Eqs. (14), (15), (20) and (21) added. Version matches the published one in PRD

Physical Review D 108, 045012 (2023)

10.1103/PhysRevD.108.045012

null

hep-th gr-qc hep-ph

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

We study the mechanism of chiral symmetry breaking for fermionic systems in a gravitational background with curvature and torsion. The analysis is based on a scale-dependent effective potential derived from a bosonized version of the Nambu-Jona-Lasino model in a Riemann-Cartan background. We have investigated the fate of chiral symmetry in two different regimes. First, to gain some intuition on the combined effect of curvature and torsion, we investigate the regime of weak curvature and torsion. However, this regime does not access the deep infrared limit, which is essential to answer questions related to the mechanism of gravitational catalysis in fermionic systems. Second, we look at the regime of vanishing curvature and homogeneous torsion. In this case, although we cannot probe the combined effects of curvature and torsion, we can access the deep infrared contributions of the background torsion to the mechanism of chiral symmetry breaking. Our main finding is that, in the scenario where only torsion is present, there is no indication of a mechanism of gravitational catalysis.

[ { "created": "Wed, 28 Jun 2023 18:31:31 GMT", "version": "v1" }, { "created": "Fri, 18 Aug 2023 15:24:21 GMT", "version": "v2" } ]

2023-08-21

[ [ "de Brito", "Gustavo P.", "" ], [ "Pereira", "Antonio D.", "" ], [ "Vieira", "Arthur F.", "" ] ]

We study the mechanism of chiral symmetry breaking for fermionic systems in a gravitational background with curvature and torsion. The analysis is based on a scale-dependent effective potential derived from a bosonized version of the Nambu-Jona-Lasino model in a Riemann-Cartan background. We have investigated the fate of chiral symmetry in two different regimes. First, to gain some intuition on the combined effect of curvature and torsion, we investigate the regime of weak curvature and torsion. However, this regime does not access the deep infrared limit, which is essential to answer questions related to the mechanism of gravitational catalysis in fermionic systems. Second, we look at the regime of vanishing curvature and homogeneous torsion. In this case, although we cannot probe the combined effects of curvature and torsion, we can access the deep infrared contributions of the background torsion to the mechanism of chiral symmetry breaking. Our main finding is that, in the scenario where only torsion is present, there is no indication of a mechanism of gravitational catalysis.

6.207773

6.139675

5.819977

5.901197

5.897333

6.140407

6.159488

5.719226

5.848324

6.049775

6.074119

5.990457

5.894911

5.878623

6.015367

6.208374

6.024978

5.822471

5.969342

5.869114

5.90374

hep-th/0611008

Toshiaki Tanaka

N-fold Parasupersymmetry

10 pages, no figures; Intro. expanded

Mod.Phys.Lett.A22:2191-2200,2007

10.1142/S0217732307024176

null

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

null

We find a new type of non-linear supersymmetries, called N-fold parasupersymmetry, which is a generalization of both N-fold supersymmetry and parasupersymmetry. We provide a general formulation of this new symmetry and then construct a second-order N-fold parasupersymmetric quantum system where all the components of N-fold parasupercharges are given by type A N-fold supercharges. We show that this system exactly reduces to the Rubakov-Spiridonov model when N=1 and admits a generalized type C 2N-fold superalgebra. We conjecture the existence of other `N-fold generalizations' such as N-fold fractional supersymmetry, N-fold orthosupersymmetry, and so on.

[ { "created": "Wed, 1 Nov 2006 08:44:24 GMT", "version": "v1" }, { "created": "Fri, 31 Aug 2007 09:52:00 GMT", "version": "v2" } ]

2008-11-26

[ [ "Tanaka", "Toshiaki", "" ] ]

We find a new type of non-linear supersymmetries, called N-fold parasupersymmetry, which is a generalization of both N-fold supersymmetry and parasupersymmetry. We provide a general formulation of this new symmetry and then construct a second-order N-fold parasupersymmetric quantum system where all the components of N-fold parasupercharges are given by type A N-fold supercharges. We show that this system exactly reduces to the Rubakov-Spiridonov model when N=1 and admits a generalized type C 2N-fold superalgebra. We conjecture the existence of other `N-fold generalizations' such as N-fold fractional supersymmetry, N-fold orthosupersymmetry, and so on.

6.878746

6.309164

7.641847

5.872578

6.082327

6.154797

6.402466

5.845256

6.093476

8.115236

6.155118

6.286034

7.083836

6.304389

6.268002

6.259864

6.29025

6.265859

6.258932

6.831007

6.459847

hep-th/0011239

Hermann Nicolai

Bernard de Wit (Utrecht University, Utrecht, The Netherlands), Hermann Nicolai (Albert-Einstein-Institute, Golm, Germany)

Hidden Symmetries, Central Charges and All That

19 pages (LATEX), contribution to the G\"ursey memorial Conference II, Istanbul, June 2000

Class.Quant.Grav.18:3095-3112,2001

10.1088/0264-9381/18/16/302

AEI-2000-072, ITP-UU-00/29, SPIN-00/27

hep-th

null

In this review we discuss hidden symmetries of toroidal compactifications of eleven-dimensional supergravity. We recall alternative versions of this theory which exhibit traces of the hidden symmetries when still retaining the massive Kaluza-Klein states. We reconsider them in the broader perspective of M-theory which incorporates a more extended variety of BPS states. We also argue for a new geometry that may underly these theories. All our arguments point towards an extension of the number of space-time coordinates beyond eleven.

[ { "created": "Mon, 27 Nov 2000 15:18:37 GMT", "version": "v1" } ]

2010-11-19

[ [ "de Wit", "Bernard", "", "Utrecht University, Utrecht, The Netherlands" ], [ "Nicolai", "Hermann", "", "Albert-Einstein-Institute, Golm, Germany" ] ]

In this review we discuss hidden symmetries of toroidal compactifications of eleven-dimensional supergravity. We recall alternative versions of this theory which exhibit traces of the hidden symmetries when still retaining the massive Kaluza-Klein states. We reconsider them in the broader perspective of M-theory which incorporates a more extended variety of BPS states. We also argue for a new geometry that may underly these theories. All our arguments point towards an extension of the number of space-time coordinates beyond eleven.

18.226559

16.504013

17.89901

15.492144

16.265499

16.293427

15.947304

16.257288

14.832511

18.70801

14.805356

15.658412

17.280037

16.169397

15.930647

15.747009

15.415482

16.256762

16.524563

16.78796

15.687764

hep-th/0009114

Alexei A. Abrikosov jr.

A. A. Abrikosov Jr

Instantons in non-Cartesian coordinates

10 pages, LaTeX, talk given at Quarks-2000 (Pushkin, Russia) and E.S.Fradkin (Moscow, Russia) conferences

Phys.Atom.Nucl. 64 (2001) 946-951; Yad.Fiz. 64 (2001) 1015-1021

10.1134/1.1378887

null

hep-th

null

The explicit multi-instanton solutions by 'tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. The idea is that a gauge transformation can notably simplify the expressions obtained after the change of variables. The gauge transform generates a compensating addition to the gauge potential of pseudoparticles. Singularities of the compensating field are irrelevant for physics but may affect gauge dependent quantities.

[ { "created": "Thu, 14 Sep 2000 16:49:15 GMT", "version": "v1" } ]

2009-10-31

[ [ "Abrikosov", "A. A.", "Jr" ] ]

The explicit multi-instanton solutions by 'tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. The idea is that a gauge transformation can notably simplify the expressions obtained after the change of variables. The gauge transform generates a compensating addition to the gauge potential of pseudoparticles. Singularities of the compensating field are irrelevant for physics but may affect gauge dependent quantities.

18.051775

13.387705

22.828638

14.939178

14.749252

14.363234

13.197524

14.034283

12.675787

27.872608

14.045628

14.97749

18.201834

16.53138

16.764763

16.310225

17.035969

15.752322

16.021969

19.016533

16.025877

hep-th/0404042

Dmitri Diakonov

Dmitri Diakonov, Nikolay Gromov, Victor Petrov and Sergey Slizovskiy

Quantum weights of dyons and of instantons with non-trivial holonomy

35 pages, 5 figs, minor corrections

Phys.Rev. D70 (2004) 036003

10.1103/PhysRevD.70.036003

NORDITA-29-2004

hep-th hep-lat hep-ph

null

We calculate exactly functional determinants for quantum oscillations about periodic instantons with non-trivial value of the Polyakov line at spatial infinity. Hence, we find the weight or the probability with which calorons with non-trivial holonomy occur in the Yang--Mills partition function. The weight depends on the value of the holonomy, the temperature, Lambda_QCD, and the separation between the BPS monopoles (or dyons) which constitute the periodic instanton. At large separation between constituent dyons, the quantum measure factorizes into a product of individual dyon measures, times a definite interaction energy. We present an argument that at temperatures below a critical one related to Lambda_QCD, trivial holonomy is unstable, and that calorons ``ionize'' into separate dyons.

[ { "created": "Mon, 5 Apr 2004 23:50:49 GMT", "version": "v1" }, { "created": "Sat, 10 Apr 2004 00:42:19 GMT", "version": "v2" } ]

2009-11-10

[ [ "Diakonov", "Dmitri", "" ], [ "Gromov", "Nikolay", "" ], [ "Petrov", "Victor", "" ], [ "Slizovskiy", "Sergey", "" ] ]

We calculate exactly functional determinants for quantum oscillations about periodic instantons with non-trivial value of the Polyakov line at spatial infinity. Hence, we find the weight or the probability with which calorons with non-trivial holonomy occur in the Yang--Mills partition function. The weight depends on the value of the holonomy, the temperature, Lambda_QCD, and the separation between the BPS monopoles (or dyons) which constitute the periodic instanton. At large separation between constituent dyons, the quantum measure factorizes into a product of individual dyon measures, times a definite interaction energy. We present an argument that at temperatures below a critical one related to Lambda_QCD, trivial holonomy is unstable, and that calorons ``ionize'' into separate dyons.

11.424641

10.843589

10.917371

9.157037

12.121914

10.614297

9.988316

11.44935

10.408154

12.952892

9.938758

10.661634

11.032527

10.556919

10.938882

10.870196

10.812012

10.513069

10.613235

11.508304

10.52583

1812.11060

Blaise Gout\'eraux

Richard A. Davison, Simon A. Gentle and Blaise Gout\'eraux

Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states

v2: very minor edits, version accepted for publication in PRD. v1: 47+8 pages, no figures, 12 pt font, double interline. Extended version of arXiv:1808.05659

Phys. Rev. D 100, 086020 (2019)

10.1103/PhysRevD.100.086020

CPHT-RR120.122018, NORDITA 2018-116

hep-th cond-mat.str-el

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

We study thermodynamic and transport observables of quantum critical states that arise in the infra-red limit of holographic renormalisation group flows. Although these observables are expected to exhibit quantum critical scaling, there are a number of cases in which their frequency and temperature dependences are in apparent contradiction with scaling theories. We study two different classes of examples, and show in both cases that the apparent breakdown of scaling is a consequence of the dependence of observables on an irrelevant deformation of the quantum critical state. By assigning scaling dimensions to the near-horizon observables, we formulate improved scaling theories that are completely consistent with all explicit holographic results once the dependence on the dangerously irrelevant coupling is properly accounted for. In addition to governing thermodynamic and transport phenomena in these states, we show that the dangerously irrelevant coupling also controls late-time equilibration, which occurs at a rate parametrically slower than the temperature $1/\tau_{eq}\ll T$. At very late times, transport is diffusion-dominated, with a diffusivity that can be written simply in terms of $\tau_{eq}$ and the butterfly velocity, $D\sim v_B^2\tau_{eq}$. We conjecture that in such cases there exists a long-lived, propagating collective mode with velocity $v_s$, and in this case the relation $D=v_s^2\tau_{eq}$ holds exactly in the limit $\tau_{eq} T\gg1$.

[ { "created": "Fri, 28 Dec 2018 15:50:25 GMT", "version": "v1" }, { "created": "Tue, 15 Oct 2019 10:05:36 GMT", "version": "v2" } ]

2019-11-06

[ [ "Davison", "Richard A.", "" ], [ "Gentle", "Simon A.", "" ], [ "Goutéraux", "Blaise", "" ] ]

We study thermodynamic and transport observables of quantum critical states that arise in the infra-red limit of holographic renormalisation group flows. Although these observables are expected to exhibit quantum critical scaling, there are a number of cases in which their frequency and temperature dependences are in apparent contradiction with scaling theories. We study two different classes of examples, and show in both cases that the apparent breakdown of scaling is a consequence of the dependence of observables on an irrelevant deformation of the quantum critical state. By assigning scaling dimensions to the near-horizon observables, we formulate improved scaling theories that are completely consistent with all explicit holographic results once the dependence on the dangerously irrelevant coupling is properly accounted for. In addition to governing thermodynamic and transport phenomena in these states, we show that the dangerously irrelevant coupling also controls late-time equilibration, which occurs at a rate parametrically slower than the temperature $1/\tau_{eq}\ll T$. At very late times, transport is diffusion-dominated, with a diffusivity that can be written simply in terms of $\tau_{eq}$ and the butterfly velocity, $D\sim v_B^2\tau_{eq}$. We conjecture that in such cases there exists a long-lived, propagating collective mode with velocity $v_s$, and in this case the relation $D=v_s^2\tau_{eq}$ holds exactly in the limit $\tau_{eq} T\gg1$.

7.981915

8.350608

8.643117

7.827024

8.210334

8.136405

8.403317

7.953764

8.004961

8.790136

7.395785

7.853098

8.081782

7.61189

7.910432

7.792006

8.009049

7.978358

7.786508

8.096874

7.592981

1110.3454

Nikolay Bobev

Nikolay Bobev, Arnab Kundu, Krzysztof Pilch, Nicholas P. Warner

Minimal Holographic Superconductors from Maximal Supergravity

25 pages, 9 figures

JHEP 1203:064, 2012

10.1007/JHEP03(2012)064

UTTG-10-11

hep-th

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

We study a truncation of four-dimensional maximal gauged supergravity that provides a realization of the minimal model of a holographic superconductor. We find various flow solutions in this truncation at zero and finite temperature with a non-trivial profile for the charged scalar. Below a critical temperature we find holographic superconductor solutions that represent the thermodynamically preferred phase. Depending on the choice of boundary conditions, the superconducting phase transition is either first or second order. For vanishing temperature we find a flow with a condensing charged scalar that interpolates between two perturbatively stable AdS_4 vacua and is the zero-temperature ground state of the holographic superconductor.

[ { "created": "Sun, 16 Oct 2011 03:57:33 GMT", "version": "v1" } ]

2013-02-19

[ [ "Bobev", "Nikolay", "" ], [ "Kundu", "Arnab", "" ], [ "Pilch", "Krzysztof", "" ], [ "Warner", "Nicholas P.", "" ] ]

We study a truncation of four-dimensional maximal gauged supergravity that provides a realization of the minimal model of a holographic superconductor. We find various flow solutions in this truncation at zero and finite temperature with a non-trivial profile for the charged scalar. Below a critical temperature we find holographic superconductor solutions that represent the thermodynamically preferred phase. Depending on the choice of boundary conditions, the superconducting phase transition is either first or second order. For vanishing temperature we find a flow with a condensing charged scalar that interpolates between two perturbatively stable AdS_4 vacua and is the zero-temperature ground state of the holographic superconductor.

6.573205

6.03991

7.072829

5.863732

5.845119

5.850074

6.124299

5.636413

5.950399

7.066386

5.885967

5.931324

6.6412

5.950734

5.775455

5.932279

5.86871

6.170151

6.14933

6.500833

6.013801

hep-th/9108011

null

Ashoke Sen

Twisted Black p-Brane Solutions in String Theory

13 pages

Phys.Lett.B274:34-40,1992

10.1016/0370-2693(92)90300-S

null

hep-th

null

It has been shown that given a classical background in string theory which is independent of $d$ of the space-time coordinates, we can generate other classical backgrounds by $O(d)\otimes O(d)$ transformation on the solution. We study the effect of this transformation on the known black $p$-brane solutions in string theory, and show how these transformations produce new classical solutions labelled by extra continuous parameters and containing background antisymmetric tensor field.

[ { "created": "Wed, 21 Aug 1991 17:49:00 GMT", "version": "v1" } ]

2009-09-15

[ [ "Sen", "Ashoke", "" ] ]

It has been shown that given a classical background in string theory which is independent of $d$ of the space-time coordinates, we can generate other classical backgrounds by $O(d)\otimes O(d)$ transformation on the solution. We study the effect of this transformation on the known black $p$-brane solutions in string theory, and show how these transformations produce new classical solutions labelled by extra continuous parameters and containing background antisymmetric tensor field.

12.913972

11.761148

12.524997

10.935674

9.348511

10.92705

10.312219

10.012733

10.175991

13.200627

9.51891

10.427762

12.210517

10.555503

10.108529

10.501266

10.649903

10.820112

10.039951

11.947598

10.814812

2301.06600

Bruno Arderucio Costa

Bruno Arderucio Costa, Yuri Bonder and Benito A. Ju\'arez-Aubry

Are inertial vacua equivalent in Lorentz-violating theories? Does it matter?

Revised and extended version. 12 pages, 1 figure

Annals of Physics 453 169303 (2023)

10.1016/j.aop.2023.169303

null

hep-th gr-qc

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

Several approaches to quantum gravity suggest violations of Lorentz symmetry as low-energy signatures. This article uses a concrete Lorentz-violating quantum field theory to study different inertial vacua. We show that they are unitarily inequivalent and that the vacuum in one inertial frame appears, in a different inertial frame, to be populated with particles of arbitrarily high momenta. At first sight, this poses a critical challenge to the physical validity of Lorentz-violating theories, since we do not witness vacuum excitations by changing inertial frames. Nevertheless, we demonstrate that inertial Unruh-De Witt detectors are insensitive to these effects. We also discuss the Hadamard condition for this Lorentz-violating theory.

[ { "created": "Mon, 16 Jan 2023 20:34:52 GMT", "version": "v1" }, { "created": "Tue, 28 Feb 2023 18:49:31 GMT", "version": "v2" } ]

2023-05-05

[ [ "Costa", "Bruno Arderucio", "" ], [ "Bonder", "Yuri", "" ], [ "Juárez-Aubry", "Benito A.", "" ] ]

Several approaches to quantum gravity suggest violations of Lorentz symmetry as low-energy signatures. This article uses a concrete Lorentz-violating quantum field theory to study different inertial vacua. We show that they are unitarily inequivalent and that the vacuum in one inertial frame appears, in a different inertial frame, to be populated with particles of arbitrarily high momenta. At first sight, this poses a critical challenge to the physical validity of Lorentz-violating theories, since we do not witness vacuum excitations by changing inertial frames. Nevertheless, we demonstrate that inertial Unruh-De Witt detectors are insensitive to these effects. We also discuss the Hadamard condition for this Lorentz-violating theory.

10.660501

10.551456

9.196412

9.024166

9.632308

9.531319

9.098114

9.624857

8.989994

9.631158

9.275217

9.632317

9.657962

9.182953

9.737617

9.597821

9.730404

9.577226

9.713539

9.394978

9.637031

1204.6040

Sebastian Franco

Antonio Amariti and Sebastian Franco

Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories

42 pages, 20 figures

null

10.1007/JHEP09(2012)034

null

hep-th

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

We investigate infinite families of 3d N=2 superconformal Chern-Simons quivers with an arbitrarily large number of gauge groups arising on M2-branes over toric CY_4's. These theories have the same matter content and superpotential of those on D3-branes probing cones over L^{a,b,a} Sasaki-Einstein manifolds. For all these infinite families, we explicitly show the correspondence between the free energy F on S^3 and the volume of the 7-dimensional base of the associated CY_4, even before extremization. Our results add to those existing in the literature, providing further support for the correspondence. We develop a lifting algorithm, based on the Type IIB realization of these theories, that takes from CY_3's to CY_4's and we use it to efficiently generate the models studied in the paper. We also introduce a procedure, based on the mapping between extremal points in the toric diagram (GLSM fields) and chiral fields in the quiver, which systematically translates symmetries of the toric diagram into constraints of the trial R-charges of the quiver, beyond those arising from marginality of the superpotential. This method can be exploited for reducing the dimension of the space of trial R-charges over which the free energy is maximized. Finally, we show that in all the infinite families we consider F^2 can be expressed, even off-shell, as a quartic function in R-charges associated to certain 5-cycles. This suggests that a quartic formula on R-charges, analogous to a similar cubic function for the central charge a in 4d, exists for all toric toric CY_4's and we present some ideas regarding its general form.

[ { "created": "Thu, 26 Apr 2012 20:00:01 GMT", "version": "v1" } ]

2015-06-04

[ [ "Amariti", "Antonio", "" ], [ "Franco", "Sebastian", "" ] ]

We investigate infinite families of 3d N=2 superconformal Chern-Simons quivers with an arbitrarily large number of gauge groups arising on M2-branes over toric CY_4's. These theories have the same matter content and superpotential of those on D3-branes probing cones over L^{a,b,a} Sasaki-Einstein manifolds. For all these infinite families, we explicitly show the correspondence between the free energy F on S^3 and the volume of the 7-dimensional base of the associated CY_4, even before extremization. Our results add to those existing in the literature, providing further support for the correspondence. We develop a lifting algorithm, based on the Type IIB realization of these theories, that takes from CY_3's to CY_4's and we use it to efficiently generate the models studied in the paper. We also introduce a procedure, based on the mapping between extremal points in the toric diagram (GLSM fields) and chiral fields in the quiver, which systematically translates symmetries of the toric diagram into constraints of the trial R-charges of the quiver, beyond those arising from marginality of the superpotential. This method can be exploited for reducing the dimension of the space of trial R-charges over which the free energy is maximized. Finally, we show that in all the infinite families we consider F^2 can be expressed, even off-shell, as a quartic function in R-charges associated to certain 5-cycles. This suggests that a quartic formula on R-charges, analogous to a similar cubic function for the central charge a in 4d, exists for all toric toric CY_4's and we present some ideas regarding its general form.

9.680697

9.496539

11.054715

8.941432

9.607826

9.597169

9.674699

8.935634

9.578018

11.697257

9.154361

9.272141

9.842196

9.314832

9.172137

9.365675

9.531319

8.976146

9.291522

9.978534

9.132397

2307.04934

Yu-Ping Wang

Machiko Hatsuda, Ond\v{r}ej Hul\'ik, William D. Linch, Warren D. Siegel, Di Wang, Yu-Ping Wang

$\mathcal{A}$-theory: A brane world-volume theory with manifest U-duality

71 pages, 2 figures

null

hep-th

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

In this paper, the ${\cal A}$-theory, an extension of F-theory, is described as a fully U-duality covariant brane theory. This theory has some distinguishing features not known from world-sheet models. In particular, seen as a sigma model, both world-volume and target space coordinates are specific representations of the same group (the U-duality group). The U-duality group in question is an exceptional group (a split form of the $E_d$ series). The structure of this group allows it to encompass both the T-duality group of string theory as well as the general linear symmetry group of ${\cal M}$-theory. ${\cal A}$-theory is defined by the current algebras in Hamiltonian formalism, or by world-volume actions in Lagrangian formalism. The spacetime coordinates are selfdual gauge fields on the world-volume, requiring the Gauss law constraints tying the world-volume to spacetime. Solving the Gauss law constraints/the Virasoro constraints gives the world-volume/spacetime sectioning from ${\cal A}$-theory to ${\cal T}$-theory/ ${\cal M}$-theory respectively. The ${\cal A}$-theory Lagrangian admits extended symmetry which has not been observed previously in the literature, where the background fields include both the spacetime and the world-volume gravitational fields. We also constructed the four-point amplitude of ${\cal A}$-theory in the low energy limit. The amplitude is written in a way that the U-duality symmetry is manifest, but after solving the section condition, it reduces to the usual four-graviton amplitude. In the previous papers, we have referred to this model as F-theory, however, F-theory initiated by Vafa is now a big branch of string theory as the study of elliptic fibrations, so we refer to these constructions as generalized models of theory for all dimensions with all duality symmetries as ${\cal A}$-theory.

[ { "created": "Mon, 10 Jul 2023 23:01:50 GMT", "version": "v1" } ]

2023-07-12

[ [ "Hatsuda", "Machiko", "" ], [ "Hulík", "Ondřej", "" ], [ "Linch", "William D.", "" ], [ "Siegel", "Warren D.", "" ], [ "Wang", "Di", "" ], [ "Wang", "Yu-Ping", "" ] ]

In this paper, the ${\cal A}$-theory, an extension of F-theory, is described as a fully U-duality covariant brane theory. This theory has some distinguishing features not known from world-sheet models. In particular, seen as a sigma model, both world-volume and target space coordinates are specific representations of the same group (the U-duality group). The U-duality group in question is an exceptional group (a split form of the $E_d$ series). The structure of this group allows it to encompass both the T-duality group of string theory as well as the general linear symmetry group of ${\cal M}$-theory. ${\cal A}$-theory is defined by the current algebras in Hamiltonian formalism, or by world-volume actions in Lagrangian formalism. The spacetime coordinates are selfdual gauge fields on the world-volume, requiring the Gauss law constraints tying the world-volume to spacetime. Solving the Gauss law constraints/the Virasoro constraints gives the world-volume/spacetime sectioning from ${\cal A}$-theory to ${\cal T}$-theory/ ${\cal M}$-theory respectively. The ${\cal A}$-theory Lagrangian admits extended symmetry which has not been observed previously in the literature, where the background fields include both the spacetime and the world-volume gravitational fields. We also constructed the four-point amplitude of ${\cal A}$-theory in the low energy limit. The amplitude is written in a way that the U-duality symmetry is manifest, but after solving the section condition, it reduces to the usual four-graviton amplitude. In the previous papers, we have referred to this model as F-theory, however, F-theory initiated by Vafa is now a big branch of string theory as the study of elliptic fibrations, so we refer to these constructions as generalized models of theory for all dimensions with all duality symmetries as ${\cal A}$-theory.

9.351233

9.968676

10.749542

9.338017

9.897968

9.806769

10.014748

9.483573

9.531896

10.493201

9.205804

9.369476

9.465199

9.204866

9.181206

9.220472

9.193953

9.168132

9.162461

9.380655

9.103958

1510.05927

Alexandre Rodrigues Vieira M. Sc.

A. R. Vieira, A. L. Cherchiglia and Marcos Sampaio

Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level

null

Phys. Rev. D 93, 025029 (2016)

10.1103/PhysRevD.93.025029

null

hep-th

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

We address the study of gauge invariance in the Standard Model Extension which encompasses all Lorentz-violating terms originated by spontaneous symmetry breaking at the Planck scale. In particular, we fully evaluate Ward identities involving two and three point functions and derive the conditions which assure gauge invariance of the electromagnetic sector of the Standard Model Extension at one-loop. We show that momentum routing invariance is sufficient to fix arbitrary and regularization dependent parameters intrinsic to perturbation theory in the diagrams involved. A scheme which judiciously collects finite but undetermined quantum corrections is employed, a particularly subtle issue in the presence of $\gamma_5$ matrices.

[ { "created": "Tue, 20 Oct 2015 15:11:29 GMT", "version": "v1" }, { "created": "Sun, 10 Jan 2016 15:56:04 GMT", "version": "v2" } ]

2016-01-29

[ [ "Vieira", "A. R.", "" ], [ "Cherchiglia", "A. L.", "" ], [ "Sampaio", "Marcos", "" ] ]

We address the study of gauge invariance in the Standard Model Extension which encompasses all Lorentz-violating terms originated by spontaneous symmetry breaking at the Planck scale. In particular, we fully evaluate Ward identities involving two and three point functions and derive the conditions which assure gauge invariance of the electromagnetic sector of the Standard Model Extension at one-loop. We show that momentum routing invariance is sufficient to fix arbitrary and regularization dependent parameters intrinsic to perturbation theory in the diagrams involved. A scheme which judiciously collects finite but undetermined quantum corrections is employed, a particularly subtle issue in the presence of $\gamma_5$ matrices.

18.273024

16.190668

17.035194

15.82669

16.990555

18.059309

16.67156

16.17668

15.921822

16.904942

17.007521

17.092463

16.036369

16.839878

17.56336

16.16131

17.279867

16.863688

17.227287

16.882214

16.559404

hep-th/9406106

Haewon Lee

Haewon Lee and W.S. l'Yi

Non-hermitian techniques of canonical transformations in quantum mechanics

23 pages, LaTeX, CbNU-Th-94-27

null

10.1103/PhysRevA.51.982

null

hep-th

null

The quantum mechanical version of the four kinds of classical canonical transformations is investigated by using non-hermitian operator techniques. To help understand the usefulness of this appoach the eigenvalue problem of a harmonic oscillator is solved in two different types of canonical transformations. The quantum form of the classical Hamiton-Jacobi theory is also employed to solve time dependent Schr\"odinger wave equations, showing that when one uses the classical action as a generating function of the quantum canonical transformation of time evolutions of state vectors, the corresponding propagator can easily be obtained.

[ { "created": "Thu, 16 Jun 1994 05:06:32 GMT", "version": "v1" } ]

2009-10-28

[ [ "Lee", "Haewon", "" ], [ "l'Yi", "W. S.", "" ] ]

The quantum mechanical version of the four kinds of classical canonical transformations is investigated by using non-hermitian operator techniques. To help understand the usefulness of this appoach the eigenvalue problem of a harmonic oscillator is solved in two different types of canonical transformations. The quantum form of the classical Hamiton-Jacobi theory is also employed to solve time dependent Schr\"odinger wave equations, showing that when one uses the classical action as a generating function of the quantum canonical transformation of time evolutions of state vectors, the corresponding propagator can easily be obtained.

14.738415

14.215364

14.968912

13.99279

15.410447

13.859715

15.260141

14.615155

13.525107

17.004869

15.398338

14.249695

13.953999

14.28503

13.78207

14.292903

13.405598

13.697394

13.831022

14.255749

14.151675

1805.02298

Changhyun Ahn

Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large ${\cal N}=4$ Holography

99 pages

null

10.1142/S0217751X18502081

null

hep-th

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

The large ${\cal N}=4$ nonlinear superconformal algebra is generated by six spin-$1$ currents, four spin-$\frac{3}{2}$ currents and one spin-$2$ current. The simplest extension of these $11$ currents is described by the $16$ higher spin currents of spins $(1,\frac{3}{2},\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, 2,2,2,2,2,2, \frac{5}{2}, \frac{5}{2},\frac{5}{2}, \frac{5}{2}, 3)$. In this paper, by using the defining operator product expansions (OPEs) between the $11$ currents and $16$ higher spin currents, we determine the $16$ higher spin currents (the higher spin-$1, \frac{3}{2}$ currents were found previously) in terms of affine Kac-Moody spin-$\frac{1}{2}, 1$ currents in the Wolf space coset model completely. An antisymmetric second rank tensor, three antisymmetric almost complex structures or the structure constant are contracted with the multiple product of spin-$\frac{1}{2}, 1$ currents. The Wolf space coset contains the group $SU(N+2)$ and the level $k$ is characterized by the affine Kac-Moody spin-$1$ currents. After calculating the eigenvalues of the zeromode of the higher spin-$3$ current acting on the higher representations up to three (or four) boxes of Young tableaux in $SU(N+2)$ in the Wolf space coset, we obtain the corresponding three-point functions with two scalar operators at finite $(N,k)$. Furthermore, under the large $(N,k)$ 't Hooft like limit, the eigenvalues associated with any boxes of Young tableaux are obtained and the corresponding three-point functions are written in terms of the 't Hooft coupling constant in simple form in addition to the two-point functions of scalars and the number of boxes.

[ { "created": "Mon, 7 May 2018 00:25:50 GMT", "version": "v1" } ]

2019-01-30

[ [ "Ahn", "Changhyun", "" ] ]

The large ${\cal N}=4$ nonlinear superconformal algebra is generated by six spin-$1$ currents, four spin-$\frac{3}{2}$ currents and one spin-$2$ current. The simplest extension of these $11$ currents is described by the $16$ higher spin currents of spins $(1,\frac{3}{2},\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, 2,2,2,2,2,2, \frac{5}{2}, \frac{5}{2},\frac{5}{2}, \frac{5}{2}, 3)$. In this paper, by using the defining operator product expansions (OPEs) between the $11$ currents and $16$ higher spin currents, we determine the $16$ higher spin currents (the higher spin-$1, \frac{3}{2}$ currents were found previously) in terms of affine Kac-Moody spin-$\frac{1}{2}, 1$ currents in the Wolf space coset model completely. An antisymmetric second rank tensor, three antisymmetric almost complex structures or the structure constant are contracted with the multiple product of spin-$\frac{1}{2}, 1$ currents. The Wolf space coset contains the group $SU(N+2)$ and the level $k$ is characterized by the affine Kac-Moody spin-$1$ currents. After calculating the eigenvalues of the zeromode of the higher spin-$3$ current acting on the higher representations up to three (or four) boxes of Young tableaux in $SU(N+2)$ in the Wolf space coset, we obtain the corresponding three-point functions with two scalar operators at finite $(N,k)$. Furthermore, under the large $(N,k)$ 't Hooft like limit, the eigenvalues associated with any boxes of Young tableaux are obtained and the corresponding three-point functions are written in terms of the 't Hooft coupling constant in simple form in addition to the two-point functions of scalars and the number of boxes.

5.769798

5.283723

6.084005

5.332799

5.596648

5.551385

5.469963

5.247595

5.292991

6.832239

5.417685

5.528883

5.858171

5.564065

5.602701

5.57092

5.447407

5.513823

5.585395

5.715348

5.457633

2108.00277

Hare Krishna

Hare Krishna, D. Rodriguez-Gomez

Holographic thermal correlators revisited

23 pages

null

10.1007/JHEP11(2021)139

null

hep-th

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

We study 2-point correlation functions for scalar operators in position space through holography including bulk cubic couplings as well as higher curvature couplings to the square of the Weyl tensor. We focus on scalar operators with large conformal dimensions. This allows us to use the geodesic approximation for propagators. In addition to the leading order contribution, captured by geodesics anchored at the insertion points of the operators on the boundary and probing the bulk geometry thoroughly studied in the literature, the first correction is given by a Witten diagram involving both the bulk cubic coupling and the higher curvature couplings. As a result, this correction is proportional to the VEV of a neutral operator $O_k$ and thus probes the interior of the black hole exactly as in the case studied by Grinberg and Maldacena [13]. The form of the correction matches the general expectations in CFT and allows to identify the contributions of $T^nO_k$ (being $T^n$ the general contraction of n energy-momentum tensors) to the 2-point function. This correction is actually the leading term for off-diagonal correlators (i.e. correlators for operators of different conformal dimension), which can then be computed holographically in this way.

[ { "created": "Sat, 31 Jul 2021 16:13:36 GMT", "version": "v1" } ]

2021-12-08

[ [ "Krishna", "Hare", "" ], [ "Rodriguez-Gomez", "D.", "" ] ]

We study 2-point correlation functions for scalar operators in position space through holography including bulk cubic couplings as well as higher curvature couplings to the square of the Weyl tensor. We focus on scalar operators with large conformal dimensions. This allows us to use the geodesic approximation for propagators. In addition to the leading order contribution, captured by geodesics anchored at the insertion points of the operators on the boundary and probing the bulk geometry thoroughly studied in the literature, the first correction is given by a Witten diagram involving both the bulk cubic coupling and the higher curvature couplings. As a result, this correction is proportional to the VEV of a neutral operator $O_k$ and thus probes the interior of the black hole exactly as in the case studied by Grinberg and Maldacena [13]. The form of the correction matches the general expectations in CFT and allows to identify the contributions of $T^nO_k$ (being $T^n$ the general contraction of n energy-momentum tensors) to the 2-point function. This correction is actually the leading term for off-diagonal correlators (i.e. correlators for operators of different conformal dimension), which can then be computed holographically in this way.

9.616103

9.87307

11.940753

9.768761

10.113729

10.724322

10.397488

9.846586

9.932333

12.214422

9.60227

9.596971

10.304892

9.592863

10.065771

9.550018

10.033083

9.893281

9.634793

10.442738

9.866973

2212.10592

Yifeng Zhu Mr

Yifeng Rocky Zhu, Yasaman K. Yazdi

On the (Non)Hadamard Property of the SJ State in a $1+1$D Causal Diamond

v2: 28 pages, 16 figures. Added discussion about nonlocal divergences, and other minor changes

2024 Class. Quantum Grav. 41 045007

10.1088/1361-6382/ad1ce2

null

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

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

The Sorkin-Johnston (SJ) state is a candidate physical vacuum state for a scalar field in a generic curved spacetime. It has the attractive feature that it is covariantly and uniquely defined in any globally hyperbolic spacetime, often reflecting the underlying symmetries if there are any. A potential drawback of the SJ state is that it does not always satisfy the Hadamard condition. In this work, we study the extent to which the SJ state in a $1+1$D causal diamond is Hadamard, finding that it is not Hadamard at the boundary. We then study the softened SJ state, which is a slight modification of the original state to make it Hadamard. We use the softened SJ state to investigate whether some peculiar features of entanglement entropy in causal set theory may be linked to its non-Hadamard nature.

[ { "created": "Tue, 20 Dec 2022 19:05:45 GMT", "version": "v1" }, { "created": "Fri, 15 Dec 2023 16:34:05 GMT", "version": "v2" } ]

2024-01-26

[ [ "Zhu", "Yifeng Rocky", "" ], [ "Yazdi", "Yasaman K.", "" ] ]

The Sorkin-Johnston (SJ) state is a candidate physical vacuum state for a scalar field in a generic curved spacetime. It has the attractive feature that it is covariantly and uniquely defined in any globally hyperbolic spacetime, often reflecting the underlying symmetries if there are any. A potential drawback of the SJ state is that it does not always satisfy the Hadamard condition. In this work, we study the extent to which the SJ state in a $1+1$D causal diamond is Hadamard, finding that it is not Hadamard at the boundary. We then study the softened SJ state, which is a slight modification of the original state to make it Hadamard. We use the softened SJ state to investigate whether some peculiar features of entanglement entropy in causal set theory may be linked to its non-Hadamard nature.

7.172999

6.032359

5.363896

5.56567

6.259075

6.206459

6.747691

5.576915

6.653364

6.131897

6.504061

6.325591

6.111734

6.382787

6.285476

6.111737

6.417914

6.007012

6.385707

6.314018

6.26563

hep-th/0205142

Roman A. Konoplya

R.A.Konoplya

On quasinormal modes of small Schwarzschild-Anti-de-Sitter black hole

6 pages, LaTeX, 5 figures

Phys.Rev. D66 (2002) 044009

10.1103/PhysRevD.66.044009

null

hep-th

null

We compute the quasinormal modes associated with decay of the massless scalar filed around a small Schwarzschild-Anti-de-Sitter black hole. The computations shows that when the horizon radius is much less than the anti-de-Sitter radius, the imaginary part of the frequency goes to zero as $r_+^{d-2}$ while the real part of $\omega$ decreases to its minimum and then goes to $d-1$. Thus the quasinormal modes approach the usual AdS modes in the limit $r_+ -> 0$. This agrees with suggestions of Horowitz et al (Phys.Rev. D62 024027 (2000)).

[ { "created": "Tue, 14 May 2002 20:21:15 GMT", "version": "v1" }, { "created": "Thu, 30 May 2002 16:28:44 GMT", "version": "v2" } ]

2009-11-07

[ [ "Konoplya", "R. A.", "" ] ]

We compute the quasinormal modes associated with decay of the massless scalar filed around a small Schwarzschild-Anti-de-Sitter black hole. The computations shows that when the horizon radius is much less than the anti-de-Sitter radius, the imaginary part of the frequency goes to zero as $r_+^{d-2}$ while the real part of $\omega$ decreases to its minimum and then goes to $d-1$. Thus the quasinormal modes approach the usual AdS modes in the limit $r_+ -> 0$. This agrees with suggestions of Horowitz et al (Phys.Rev. D62 024027 (2000)).

6.649348

6.752113

6.356915

6.355454

6.885636

6.199811

7.140011

6.446586

6.822535

6.442146

6.26432

6.291286

6.436644

6.132061

6.533885

6.528914

6.307981

6.285307

6.344312

6.582755

6.22227

1108.5551

Jarmo Hietarinta

J. Hietarinta, J. Palmu, J. J\"aykk\"a and P. Pakkanen

Scattering of knotted vortices (Hopfions) in the Faddeev-Skyrme model

24 pages, 11 figures

New J. Phys. 14 (2012) 013013

10.1088/1367-2630/14/1/013013

null

hep-th

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

Several materials, such as ferromagnets, spinor Bose-Einstein condensates, and some topological insulators, are now believed to support knotted structures. One of the most successful base-models having stable knots is the Faddeev-Skyrme model and it is expected to be contained in some of these experimentally relevant models. The taxonomy of knotted topological solitons (Hopfions) of this model is known. In this paper we describe some aspects of the dynamics of Hopfions and show that they do indeed behave like particles: during scattering the Hopf charge is conserved and bound states are formed when the dynamics allows it. We have also investigated the dynamical stability of a pair of Hopfions in stacked or side-by-side configurations, whose theoretical stability has been recently discussed by Ward.

[ { "created": "Mon, 29 Aug 2011 14:12:09 GMT", "version": "v1" } ]

2012-01-27

[ [ "Hietarinta", "J.", "" ], [ "Palmu", "J.", "" ], [ "Jäykkä", "J.", "" ], [ "Pakkanen", "P.", "" ] ]

Several materials, such as ferromagnets, spinor Bose-Einstein condensates, and some topological insulators, are now believed to support knotted structures. One of the most successful base-models having stable knots is the Faddeev-Skyrme model and it is expected to be contained in some of these experimentally relevant models. The taxonomy of knotted topological solitons (Hopfions) of this model is known. In this paper we describe some aspects of the dynamics of Hopfions and show that they do indeed behave like particles: during scattering the Hopf charge is conserved and bound states are formed when the dynamics allows it. We have also investigated the dynamical stability of a pair of Hopfions in stacked or side-by-side configurations, whose theoretical stability has been recently discussed by Ward.

10.566014

10.897865

12.348953

10.688066

11.492576

11.300508

11.060179

9.778815

10.372082

11.462644

10.162557

10.630623

10.393856

10.534989

10.879198

10.14534

10.740061

10.162097

10.361853

10.676493

9.9589

hep-th/9201040

null

Taichiro Kugo and Barton Zwiebach

Target Space Duality as a Symmetry of String Field Theory

72pp

Prog.Theor.Phys.87:801-860,1992

10.1143/PTP.87.801

null

hep-th

null

Toroidal backgrounds for bosonic strings are used to understand target space duality as a symmetry of string field theory and to study explicitly issues in background independence. Our starting point is the notion that the string field coordinates $X(\sigma)$ and the momenta $P(\sigma)$ are background independent objects whose field algebra is always the same; backgrounds correspond to inequivalent representations of this algebra. We propose classical string field solutions relating any two toroidal backgrounds and discuss the space where these solutions are defined. String field theories formulated around dual backgrounds are shown to be related by a homogeneous field redefinition, and are therefore equivalent, if and only if their string field coupling constants are identical. Using this discrete equivalence of backgrounds and the classical solutions we find discrete symmetry transformations of the string field leaving the string action invariant. These symmetries, which are spontaneously broken for generic backgrounds, are shown to generate the full group of duality symmetries, and in general are seen to arise from the string field gauge group.

[ { "created": "Tue, 21 Jan 1992 23:11:00 GMT", "version": "v1" } ]

2010-11-01

[ [ "Kugo", "Taichiro", "" ], [ "Zwiebach", "Barton", "" ] ]

Toroidal backgrounds for bosonic strings are used to understand target space duality as a symmetry of string field theory and to study explicitly issues in background independence. Our starting point is the notion that the string field coordinates $X(\sigma)$ and the momenta $P(\sigma)$ are background independent objects whose field algebra is always the same; backgrounds correspond to inequivalent representations of this algebra. We propose classical string field solutions relating any two toroidal backgrounds and discuss the space where these solutions are defined. String field theories formulated around dual backgrounds are shown to be related by a homogeneous field redefinition, and are therefore equivalent, if and only if their string field coupling constants are identical. Using this discrete equivalence of backgrounds and the classical solutions we find discrete symmetry transformations of the string field leaving the string action invariant. These symmetries, which are spontaneously broken for generic backgrounds, are shown to generate the full group of duality symmetries, and in general are seen to arise from the string field gauge group.

12.587462

12.946567

13.257087

11.360418

12.74684

12.512061

13.018523

12.220134

12.214646

14.198871

11.994523

11.58147

11.854929

11.400418

11.62219

11.648304

11.615763

11.540726

11.241131

12.073628

12.034703

1809.09407

Sebastian Greiner

Aspects of Calabi-Yau Fourfold Compactifications

PhD Thesis, 178 pages

null

hep-th math.AG

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

The study of the geometry of Calabi-Yau fourfolds is relevant for compactifications of string theory, M-theory, and F-theory to various dimensions. In the first part of this thesis, we study the action of mirror symmetry on two-dimensional $\cN=(2,2)$ effective theories obtained by compactifying Type IIA string theory on Calabi-Yau fourfolds. Our focus is on fourfold geometries with non-trivial three-form cohomology. The couplings of the massless zero-modes arising from an expansion of the three-form gauge-potential into these forms depend both on the complex structure deformations and the K\"ahler structure deformations of the Calabi-Yau fourfold. We argue that two holomorphic functions, called three-form periods, one for each kind of deformation, capture this information. These are exchanged under mirror symmetry, which allows us to derive them at the large complex structure and large volume point. We discuss the application of the resulting explicit expression to F-theory compactifications and their weak string coupling limit. The second part of this work introduces the mathematical machinery to derive the complete moduli dependence of the periods of non-trivial three-forms for fourfolds realized as hypersurfaces in toric ambient spaces. It sets the stage to determine Picard-Fuchs-type differential equations and integral expressions for these forms. The key tool is the observation that non-trivial three-forms on fourfold hypersurfaces in toric ambient spaces always stem from divisors that are build out of trees of toric surfaces fibered over Riemann surfaces. The three-form periods are then non-trivially related to the one-form periods of these Riemann surfaces. We conclude with two explicit example fourfolds for F-theory compactifications %in which the three-form periods determine axion decay constants.

[ { "created": "Tue, 25 Sep 2018 10:53:01 GMT", "version": "v1" } ]

2018-09-26

[ [ "Greiner", "Sebastian", "" ] ]

The study of the geometry of Calabi-Yau fourfolds is relevant for compactifications of string theory, M-theory, and F-theory to various dimensions. In the first part of this thesis, we study the action of mirror symmetry on two-dimensional $\cN=(2,2)$ effective theories obtained by compactifying Type IIA string theory on Calabi-Yau fourfolds. Our focus is on fourfold geometries with non-trivial three-form cohomology. The couplings of the massless zero-modes arising from an expansion of the three-form gauge-potential into these forms depend both on the complex structure deformations and the K\"ahler structure deformations of the Calabi-Yau fourfold. We argue that two holomorphic functions, called three-form periods, one for each kind of deformation, capture this information. These are exchanged under mirror symmetry, which allows us to derive them at the large complex structure and large volume point. We discuss the application of the resulting explicit expression to F-theory compactifications and their weak string coupling limit. The second part of this work introduces the mathematical machinery to derive the complete moduli dependence of the periods of non-trivial three-forms for fourfolds realized as hypersurfaces in toric ambient spaces. It sets the stage to determine Picard-Fuchs-type differential equations and integral expressions for these forms. The key tool is the observation that non-trivial three-forms on fourfold hypersurfaces in toric ambient spaces always stem from divisors that are build out of trees of toric surfaces fibered over Riemann surfaces. The three-form periods are then non-trivially related to the one-form periods of these Riemann surfaces. We conclude with two explicit example fourfolds for F-theory compactifications %in which the three-form periods determine axion decay constants.

7.646136

6.858222

9.301997

7.150731

6.89069

6.659581

6.768023

6.650608

7.074975

9.852985

7.029013

7.452986

8.029428

7.372982

7.355509

7.331441

7.434042

7.252502

7.305

8.130675

7.39437

1112.2327

Pouria Pedram

New Approach to Nonperturbative Quantum Mechanics with Minimal Length Uncertainty

11 pages, 5 figures

Phys. Rev. D 85, 024016 (2012)

10.1103/PhysRevD.85.024016

null

hep-th

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

The existence of a minimal measurable length is a common feature of various approaches to quantum gravity such as string theory, loop quantum gravity and black-hole physics. In this scenario, all commutation relations are modified and the Heisenberg uncertainty principle is changed to the so-called Generalized (Gravitational) Uncertainty Principle (GUP). Here, we present a one-dimensional nonperturbative approach to quantum mechanics with minimal length uncertainty relation which implies X=x to all orders and P=p+(1/3)\beta p^3 to first order of GUP parameter \beta, where X and P are the generalized position and momentum operators and [x,p]=i\hbar. We show that this formalism is an equivalent representation of the seminal proposal by Kempf, Mangano, and Mann and predicts the same physics. However, this proposal reveals many significant aspects of the generalized uncertainty principle in a simple and comprehensive form and the existence of a maximal canonical momentum is manifest through this representation. The problems of the free particle and the harmonic oscillator are exactly solved in this GUP framework and the effects of GUP on the thermodynamics of these systems are also presented. Although X, P, and the Hamiltonian of the harmonic oscillator all are formally self-adjoint, the careful study of the domains of these operators shows that only the momentum operator remains self-adjoint in the presence of the minimal length uncertainty. We finally discuss the difficulties with the definition of potentials with infinitely sharp boundaries.

[ { "created": "Sun, 11 Dec 2011 07:15:20 GMT", "version": "v1" }, { "created": "Fri, 13 Jan 2012 09:59:37 GMT", "version": "v2" } ]

2012-01-16

[ [ "Pedram", "Pouria", "" ] ]

The existence of a minimal measurable length is a common feature of various approaches to quantum gravity such as string theory, loop quantum gravity and black-hole physics. In this scenario, all commutation relations are modified and the Heisenberg uncertainty principle is changed to the so-called Generalized (Gravitational) Uncertainty Principle (GUP). Here, we present a one-dimensional nonperturbative approach to quantum mechanics with minimal length uncertainty relation which implies X=x to all orders and P=p+(1/3)\beta p^3 to first order of GUP parameter \beta, where X and P are the generalized position and momentum operators and [x,p]=i\hbar. We show that this formalism is an equivalent representation of the seminal proposal by Kempf, Mangano, and Mann and predicts the same physics. However, this proposal reveals many significant aspects of the generalized uncertainty principle in a simple and comprehensive form and the existence of a maximal canonical momentum is manifest through this representation. The problems of the free particle and the harmonic oscillator are exactly solved in this GUP framework and the effects of GUP on the thermodynamics of these systems are also presented. Although X, P, and the Hamiltonian of the harmonic oscillator all are formally self-adjoint, the careful study of the domains of these operators shows that only the momentum operator remains self-adjoint in the presence of the minimal length uncertainty. We finally discuss the difficulties with the definition of potentials with infinitely sharp boundaries.

8.003846

7.540692

8.554383

7.358245

7.633233

7.647478

7.113379

7.178135

7.050986

8.451145

7.594202

7.480601

7.693211

7.237896

7.518034

7.439964

7.322692

7.385594

7.352452

7.386423

7.569854

1012.4205

Maxim V. Polyakov

M.V. Polyakov, A.A. Vladimirov

Leading infrared logarithms for sigma-model with fields on arbitrary Riemann manifold

Talk given by MVP at the conference devoted to memory of A.N. Vasiliev

null

10.1007/s11232-011-0126-7

null

hep-th hep-ph nucl-th

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

We derive non-linear recursion equation for the leading infrared logarithms (LL) in four dimensional sigma-model with fields on an arbitrary Riemann manifold. The derived equation allows one to compute leading infrared logarithms to essentially unlimited loop order in terms of geometric characteristics of the Riemann manifold. We reduce the solution of the SU(oo) principal chiral field in arbitrary number of dimensions in the LL approximation to the solution of very simple recursive equation. This result paves a way to the solution of the model in arbitrary number of dimensions at N-->oo

[ { "created": "Sun, 19 Dec 2010 20:04:12 GMT", "version": "v1" } ]

2015-05-20

[ [ "Polyakov", "M. V.", "" ], [ "Vladimirov", "A. A.", "" ] ]

We derive non-linear recursion equation for the leading infrared logarithms (LL) in four dimensional sigma-model with fields on an arbitrary Riemann manifold. The derived equation allows one to compute leading infrared logarithms to essentially unlimited loop order in terms of geometric characteristics of the Riemann manifold. We reduce the solution of the SU(oo) principal chiral field in arbitrary number of dimensions in the LL approximation to the solution of very simple recursive equation. This result paves a way to the solution of the model in arbitrary number of dimensions at N-->oo

13.623479

13.735945

12.288348

11.948057

13.499933

12.831854

11.802227

13.490117

11.411503

15.481267

12.524961

12.616953

13.372916

12.259706

12.40492

12.350257

12.477746

13.047544

13.002743

12.706583

12.223902

2205.00196

Koichi Nagasaki

Effects of the acceleration on holographic complexity

9 pages, 6 figures

null

10.1142/S0217751X23500276

null

hep-th

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

In this work we consider a spacial kind of spacetime called AdS accelerating black holes. This is a kind of black holes which contain a stringlike singularity along polar axises attached to the black hole and it accelerates the black hole. In these kind of spacetimes the growth of Einstein-Hilbert action is independent of the acceleration as found in the previous works. By using a string as a probe, we found the effect of the acceleration is captured by the string prove in our previous work. Here in this work we consider the case of rotating black holes. By the prove string we clearly describe the effect of the acceleration and its relation to the rotation of the black holes.

[ { "created": "Sat, 30 Apr 2022 08:08:58 GMT", "version": "v1" }, { "created": "Fri, 1 Jul 2022 16:34:23 GMT", "version": "v2" } ]

2023-05-10

[ [ "Nagasaki", "Koichi", "" ] ]

In this work we consider a spacial kind of spacetime called AdS accelerating black holes. This is a kind of black holes which contain a stringlike singularity along polar axises attached to the black hole and it accelerates the black hole. In these kind of spacetimes the growth of Einstein-Hilbert action is independent of the acceleration as found in the previous works. By using a string as a probe, we found the effect of the acceleration is captured by the string prove in our previous work. Here in this work we consider the case of rotating black holes. By the prove string we clearly describe the effect of the acceleration and its relation to the rotation of the black holes.

15.69153

12.110188

15.686507

13.31849

12.947418

12.049733

12.36225

12.156289

12.446332

15.75493

13.702696

14.18139

14.557562

13.414349

13.780155

14.014332

13.936576

13.702973

13.940025

14.728825

14.427138

hep-th/0511069

Andrei Mikhailov

A nonlocal Poisson bracket of the sine-Gordon model

18 pages, LaTeX, v2,3: added Section 4 and references

J.Geom.Phys.61:85-94,2011

10.1016/j.geomphys.2010.05.011

CALT-68-2581, ITEP-TH-69/05

hep-th nlin.SI

null

It is well known that the classical string on a two-sphere is more or less equivalent to the sine-Gordon model. We consider the nonabelian dual of the classical string on a two-sphere. We show that there is a projection map from the phase space of this model to the phase space of the sine-Gordon model. The corresponding Poisson structure of the sine-Gordon model is nonlocal with one integration.

[ { "created": "Mon, 7 Nov 2005 00:07:46 GMT", "version": "v1" }, { "created": "Wed, 23 Nov 2005 19:41:13 GMT", "version": "v2" }, { "created": "Mon, 11 Dec 2006 08:18:31 GMT", "version": "v3" } ]

2010-11-26

[ [ "Mikhailov", "Andrei", "" ] ]

It is well known that the classical string on a two-sphere is more or less equivalent to the sine-Gordon model. We consider the nonabelian dual of the classical string on a two-sphere. We show that there is a projection map from the phase space of this model to the phase space of the sine-Gordon model. The corresponding Poisson structure of the sine-Gordon model is nonlocal with one integration.

6.802556

7.472012

7.002254

6.503342

6.893365

6.351825

6.600823

6.89672

6.427258

7.700056

6.53072

6.590735

6.880015

6.426862

6.602823

6.661806

6.897224

6.671146

6.788656

6.712326

6.452631

0810.2065

Alexey Artsukevich

A. Yu. Artsukevich, M. A. Vasiliev

On Dimensional Degression in AdS(d)

30 pages

Phys.Rev.D79:045007,2009

10.1103/PhysRevD.79.045007

FIAN/TD/21-08

hep-th

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

We analyze the pattern of fields in d+1 dimensional anti-de Sitter space in terms of those in d dimensional anti-de Sitter space. The procedure, which is neither dimensional reduction nor dimensional compactification, is called dimensional degression. The analysis is performed group-theoretically for all totally symmetric bosonic and fermionic representations of the anti-de Sitter algebra. The field-theoretical analysis is done for a massive scalar field in AdS(d+d$^\prime$) and massless spin one-half, spin one, and spin two fields in AdS(d+1). The mass spectra of the resulting towers of fields in AdS(d) are found. For the scalar field case, the obtained results extend to the shadow sector those obtained by Metsaev in [1] by a different method.

[ { "created": "Sun, 12 Oct 2008 01:39:02 GMT", "version": "v1" } ]

2009-09-02

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

We analyze the pattern of fields in d+1 dimensional anti-de Sitter space in terms of those in d dimensional anti-de Sitter space. The procedure, which is neither dimensional reduction nor dimensional compactification, is called dimensional degression. The analysis is performed group-theoretically for all totally symmetric bosonic and fermionic representations of the anti-de Sitter algebra. The field-theoretical analysis is done for a massive scalar field in AdS(d+d$^\prime$) and massless spin one-half, spin one, and spin two fields in AdS(d+1). The mass spectra of the resulting towers of fields in AdS(d) are found. For the scalar field case, the obtained results extend to the shadow sector those obtained by Metsaev in [1] by a different method.

8.29297

7.628368

8.16006

7.951262

8.571383

7.826346

7.727076

8.320294

7.496822

8.683846

7.546819

7.756468

7.895628

7.473501

7.734811

7.755142

7.637963

7.626797

7.323088

7.569753

7.347423

2106.01406

Marcus Spradlin

Jorge Mago, Anders Schreiber, Marcus Spradlin, Akshay Yelleshpur Srikant, Anastasia Volovich

Symbol Alphabets from Plabic Graphs III: n=9

14 pages, 4 figures

null

hep-th

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

Symbol alphabets of n-particle amplitudes in N=4 super-Yang-Mills theory are known to contain certain cluster variables of Gr(4,n) as well as certain algebraic functions of cluster variables. In this paper we solve the C Z = 0 matrix equations associated to several cells of the totally non-negative Grassmannian, combining methods of arXiv:2012.15812 for rational letters and arXiv:2007.00646 for algebraic letters. We identify sets of parameterizations of the top cell of Gr_+(5,9) for which the solutions produce all of (and only) the cluster variable letters of the 2-loop nine-particle NMHV amplitude, and identify plabic graphs from which all of its algebraic letters originate.

[ { "created": "Wed, 2 Jun 2021 18:19:26 GMT", "version": "v1" } ]

2021-06-04

[ [ "Mago", "Jorge", "" ], [ "Schreiber", "Anders", "" ], [ "Spradlin", "Marcus", "" ], [ "Srikant", "Akshay Yelleshpur", "" ], [ "Volovich", "Anastasia", "" ] ]

Symbol alphabets of n-particle amplitudes in N=4 super-Yang-Mills theory are known to contain certain cluster variables of Gr(4,n) as well as certain algebraic functions of cluster variables. In this paper we solve the C Z = 0 matrix equations associated to several cells of the totally non-negative Grassmannian, combining methods of arXiv:2012.15812 for rational letters and arXiv:2007.00646 for algebraic letters. We identify sets of parameterizations of the top cell of Gr_+(5,9) for which the solutions produce all of (and only) the cluster variable letters of the 2-loop nine-particle NMHV amplitude, and identify plabic graphs from which all of its algebraic letters originate.

14.293892

8.751167

15.875419

10.23385

11.364392

10.777229

10.001257

9.545516

10.114389

17.63069

9.936523

10.674478

12.961462

11.139774

11.040742

11.228347

11.076909

10.835019

10.712498

12.994685

11.887914

hep-th/9805172

Jose Daniel Edelstein

Jose D. Edelstein, Marcos Marino and Javier Mas

Whitham Hierarchies, Instanton Corrections and Soft Supersymmetry Breaking in N=2 SU(N) Super Yang-Mills Theory

29 pages, LaTeX, no figures. Minor corrections and improvements on the instanton contributions formulae, one reference added. Final version to be published in Nuclear Physics B

Nucl.Phys. B541 (1999) 671-697

10.1016/S0550-3213(98)00798-6

US-FT/6-98, YCTP-P11-98

hep-th

null

We study N=2 super Yang-Mills theory with gauge group SU(N) from the point of view of the Whitham hierarchy. We develop a new recursive method to compute the whole instanton expansion of the prepotential using the theta function associated to the root lattice of the group. Explicit results for the one and two-instanton corrections in SU(N) are presented. Interpreting the slow times of the hierarchy as additional couplings, we show how they can be promoted to spurion superfields that softly break N=2 supersymmetry down to N=0. This provides a family of nonsupersymmetric deformations of the theory, associated to higher Casimir operators of the gauge group. The SU(3) theory is analyzed in some detail.

[ { "created": "Tue, 26 May 1998 15:47:27 GMT", "version": "v1" }, { "created": "Fri, 13 Nov 1998 17:43:27 GMT", "version": "v2" } ]

2009-10-31

[ [ "Edelstein", "Jose D.", "" ], [ "Marino", "Marcos", "" ], [ "Mas", "Javier", "" ] ]

We study N=2 super Yang-Mills theory with gauge group SU(N) from the point of view of the Whitham hierarchy. We develop a new recursive method to compute the whole instanton expansion of the prepotential using the theta function associated to the root lattice of the group. Explicit results for the one and two-instanton corrections in SU(N) are presented. Interpreting the slow times of the hierarchy as additional couplings, we show how they can be promoted to spurion superfields that softly break N=2 supersymmetry down to N=0. This provides a family of nonsupersymmetric deformations of the theory, associated to higher Casimir operators of the gauge group. The SU(3) theory is analyzed in some detail.

6.503088

6.727227

7.799611

6.022099

6.376189

6.896307

6.833455

6.327516

6.309189

7.834105

6.244992

6.15429

6.688695

6.31806

6.289692

6.331483

6.332204

6.422326

6.296955

6.845472

6.332316

2110.09199

Eduardo Guendelman I

E.I. Guendelman

Implications of the Spectrum of Dynamically Generated String Tension Theories

based on an essay awarded honorable mention by the essays competition in 2021 of the gravity research foundation. Accepted for publication in the International Journal of Modern Physics D. arXiv admin note: substantial text overlap with arXiv:2104.08875, arXiv:2105.02279, arXiv:2107.08005

null

10.1142/S0218271821420281

null

hep-th gr-qc

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

The string tension does not have to be put in by hand, it can be dynamically generated, as in the case when we formulate string theory in the modified measure formalism, and other formulations as well. Then string tension appears, but as an additional dynamical degree of freedom . It can be seen however that this string tension is not universal, but rather each string generates its own string tension, which can have a different value for each string. We also define a new Tension scalar background field which change locally the value of the string tension along the world sheets of the strings. When there are many strings with different string tensions this Tension field can be determined from the requirement of world sheet conformal invariance and for two types of string tensions depending on the relative sign of the tensions we obtain non singular cosmologies and warp space scenarios and when the two string tensions are positive, we obtain scenarios where the Hagedorn temperature is avoided in the early universe or in regions of warped space time where the string tensions become very big.

[ { "created": "Mon, 18 Oct 2021 11:39:08 GMT", "version": "v1" } ]

2022-01-26

[ [ "Guendelman", "E. I.", "" ] ]

The string tension does not have to be put in by hand, it can be dynamically generated, as in the case when we formulate string theory in the modified measure formalism, and other formulations as well. Then string tension appears, but as an additional dynamical degree of freedom . It can be seen however that this string tension is not universal, but rather each string generates its own string tension, which can have a different value for each string. We also define a new Tension scalar background field which change locally the value of the string tension along the world sheets of the strings. When there are many strings with different string tensions this Tension field can be determined from the requirement of world sheet conformal invariance and for two types of string tensions depending on the relative sign of the tensions we obtain non singular cosmologies and warp space scenarios and when the two string tensions are positive, we obtain scenarios where the Hagedorn temperature is avoided in the early universe or in regions of warped space time where the string tensions become very big.

13.035843

11.074601

13.305442

11.687426

11.478805

10.347356

10.460337

11.402096

11.750553

13.682237

11.427438

12.029798

13.066232

12.292427

12.510588

12.401158

12.570776

12.349524

12.38999

12.793983

12.000898

hep-th/0309256

Anton Rebhan

Kazuo Fujikawa, Anton Rebhan, Peter van Nieuwenhuizen

On the nature of the anomalies in the supersymmetric kink

10 pages, LATeX

Int.J.Mod.Phys. A18 (2003) 5637

10.1142/S0217751X03017075

UT-03-32, TUW-03-29, YITP-SB-03-49

hep-th

null

We discuss the possibility to absorb all anomalies in the supersymmetry algebra of the N=(1,1) Wess-Zumino model in d=1+1 by a local counter term. This counter term corresponds to the change of the vacuum parameter $v_0^2$ in the model and the transition to an unconventional but admissible renormalization scheme. It does not modify the physical consequences such as BPS saturation, and thus the situation is rather different from gauge theory where local counter terms are required to absorb spurious gauge anomalies.

[ { "created": "Mon, 29 Sep 2003 18:22:36 GMT", "version": "v1" } ]

2009-11-10

[ [ "Fujikawa", "Kazuo", "" ], [ "Rebhan", "Anton", "" ], [ "van Nieuwenhuizen", "Peter", "" ] ]

We discuss the possibility to absorb all anomalies in the supersymmetry algebra of the N=(1,1) Wess-Zumino model in d=1+1 by a local counter term. This counter term corresponds to the change of the vacuum parameter $v_0^2$ in the model and the transition to an unconventional but admissible renormalization scheme. It does not modify the physical consequences such as BPS saturation, and thus the situation is rather different from gauge theory where local counter terms are required to absorb spurious gauge anomalies.

12.242966

13.136353

13.168492

11.015609

11.812428

12.401114

12.442297

11.12629

11.76859

13.525617

11.114119

11.473835

12.392474

11.353904

10.927982

11.311548

11.244075

11.31413

11.288236

11.765571

11.019323

1906.06704

Maxim Kurkov

I. Fialkovsky, M. Kurkov and D. Vassilevich

Quantum Dirac fermions in half space and their interaction with electromagnetic field

15 pages, 1 figure, slightly corrected version

Phys. Rev. D 100, 045026 (2019)

10.1103/PhysRevD.100.045026

null

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

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

We study the polarization tensor of a Dirac field in $(3+1)$ dimensions confined to a half space -- a problem motivated by applications to the condensed matter physics, and to Topological Insulators in particular. Although the Pauli-Villars regularization scheme has a number of advantages, like explicit gauge invariance and decoupling of heavy modes, it is not applicable on manifolds with boundaries. Here, we modify this scheme by giving an axial mass to the regulators and to the physical field. We compute the renormalized polarization tensor in coordinate representation. We discuss then the induced Chern-Simons type action on the boundary and compare it to the effective action of a $(2+1)$ dimensional Dirac fermion.

[ { "created": "Sun, 16 Jun 2019 14:33:58 GMT", "version": "v1" }, { "created": "Tue, 18 Jun 2019 12:02:40 GMT", "version": "v2" }, { "created": "Thu, 4 Feb 2021 19:48:26 GMT", "version": "v3" } ]

2021-02-08

[ [ "Fialkovsky", "I.", "" ], [ "Kurkov", "M.", "" ], [ "Vassilevich", "D.", "" ] ]

We study the polarization tensor of a Dirac field in $(3+1)$ dimensions confined to a half space -- a problem motivated by applications to the condensed matter physics, and to Topological Insulators in particular. Although the Pauli-Villars regularization scheme has a number of advantages, like explicit gauge invariance and decoupling of heavy modes, it is not applicable on manifolds with boundaries. Here, we modify this scheme by giving an axial mass to the regulators and to the physical field. We compute the renormalized polarization tensor in coordinate representation. We discuss then the induced Chern-Simons type action on the boundary and compare it to the effective action of a $(2+1)$ dimensional Dirac fermion.

7.863299

8.545109

8.637514

7.321315

8.087893

7.682102

7.49452

7.920561

7.571931

8.477331

8.071082

7.527431

8.215381

7.516925

7.483198

7.520971

7.635873

7.458127

7.478299

8.004849

7.396075

0706.1957

Stephen G. Naculich

Stephen G. Naculich and Benjamin H. Ripman

Level-rank duality of untwisted and twisted D-branes of the so(N)_K WZW model

18 pages

Nucl.Phys.B787:135-151,2007

10.1016/j.nuclphysb.2007.07.011

BOW-PH-140

hep-th

null

We analyze the level-rank duality of untwisted and epsilon-twisted D-branes of the so(N)_K WZW model. Untwisted D-branes of so(N)_K are characterized by integrable tensor and spinor representations of so(N)_K. Level-rank duality maps untwisted so(N)_K D-branes corresponding to (equivalence classes of) tensor representations onto those of so(K)_N. The epsilon-twisted D-branes of so(2n)_2k are characterized by (a subset of) integrable tensor and spinor representations of so(2n-1)_2k+1. Level-rank duality maps spinor epsilon-twisted so(2n)_2k D-branes onto those of so(2k)_2n. For both untwisted and epsilon-twisted D-branes, we prove that the spectrum of an open string ending on these D-branes is isomorphic to the spectrum of an open string ending on the level-rank-dual D-branes.

[ { "created": "Wed, 13 Jun 2007 17:37:25 GMT", "version": "v1" } ]

2008-11-26

[ [ "Naculich", "Stephen G.", "" ], [ "Ripman", "Benjamin H.", "" ] ]

We analyze the level-rank duality of untwisted and epsilon-twisted D-branes of the so(N)_K WZW model. Untwisted D-branes of so(N)_K are characterized by integrable tensor and spinor representations of so(N)_K. Level-rank duality maps untwisted so(N)_K D-branes corresponding to (equivalence classes of) tensor representations onto those of so(K)_N. The epsilon-twisted D-branes of so(2n)_2k are characterized by (a subset of) integrable tensor and spinor representations of so(2n-1)_2k+1. Level-rank duality maps spinor epsilon-twisted so(2n)_2k D-branes onto those of so(2k)_2n. For both untwisted and epsilon-twisted D-branes, we prove that the spectrum of an open string ending on these D-branes is isomorphic to the spectrum of an open string ending on the level-rank-dual D-branes.

4.253133

4.142777

4.528121

4.100006

4.322165

4.637034

4.301986

4.254969

4.325628

4.558471

4.14761

4.016658

4.367332

4.056315

4.151744

4.046723

4.066517

3.945301

4.038341

4.321259

4.06713

hep-th/9701053

Klaus Behrndt

Classical and quantum aspects of 4 dimensional black holes

12 pages, 7 figure, LaTeX, small corrections

null

10.1016/S0920-5632(97)00304-6

null

hep-th

null

In this talk I address some aspects in the recent developments for N=2 black holes in 4 dimensions. I restrict myself on axion-free solutions that can classically be related to intersections of isotropic $D$- or $M$-branes. After reviewing of some classical properties I include corrections coming from a general cubic prepotential. On the heterotic side these are quantum corrections for these black hole solutions. Finally, I discuss a microscopic interpretation of the entropy for the extremal as well as near-extremal black hole.

[ { "created": "Mon, 13 Jan 1997 13:39:26 GMT", "version": "v1" }, { "created": "Wed, 9 Sep 1998 09:15:57 GMT", "version": "v2" } ]

2009-10-30

[ [ "Behrndt", "Klaus", "" ] ]

In this talk I address some aspects in the recent developments for N=2 black holes in 4 dimensions. I restrict myself on axion-free solutions that can classically be related to intersections of isotropic $D$- or $M$-branes. After reviewing of some classical properties I include corrections coming from a general cubic prepotential. On the heterotic side these are quantum corrections for these black hole solutions. Finally, I discuss a microscopic interpretation of the entropy for the extremal as well as near-extremal black hole.

15.840163

14.062754

16.379593

14.437978

15.428517

13.898396

13.924732

14.90696

14.03847

15.534142

14.896277

14.414733

14.858398

14.12457

14.088933

14.300133

14.161047

13.968691

13.993878

15.087427

14.039039

2003.05483

Yubo Ma

Yubo Ma, Yang Zhang, Lichun Zhang, Liang Wu, Yumei Huang and Yu Pan

Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity

11 pages, 6 figures

Eur. Phys. J. C 80, 213 (2020)

10.1140/epjc/s10052-020-7763-7

null

hep-th

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

On the basis of the state parameter of de Sitter space-time satisfying the first law of thermodynamics,we can derive some effective thermodynamic quantities.When the temperature of the black hole horizon is equal to that of the cosmological horizon, we think that the effective temperature of the space-time should have the same value. Using this condition, we obtain a differential equation of the entropy of the de Sitter black hole in the higherdimensional de Rham, Gabadadze and Tolley (dRGT) massive gravity. Solving the differential equation, we obtain the corrected entropy and effective thermodynamic quantities of the de Sitter black hole. The results show that for multiparameter black holes, the entropy satisfied differential equation is invariable with different independent state parameters. Therefore, the entropy of higher-dimensional dS black holes in dRGT massive gravity is only a function of the position of the black hole horizon, and is independent of other state parameters. It is consistent with the corresponding entropy of the black hole horizon and the cosmological horizon. The thermodynamic quantities of self-consistent de Sitter spacetime are given theoretically, and the equivalent thermodynamic quantities have the second-order phase transformation similar to AdS black hole, but unlike AdS black hole, the equivalent temperature of de Sitter space-time has a maximum value. By satisfying the requirement of thermodynamic equilibrium and stability of space-time, the conditions for the existence of dS black holes in the universe are obtained.

[ { "created": "Wed, 11 Mar 2020 18:45:58 GMT", "version": "v1" } ]

2020-03-13

[ [ "Ma", "Yubo", "" ], [ "Zhang", "Yang", "" ], [ "Zhang", "Lichun", "" ], [ "Wu", "Liang", "" ], [ "Huang", "Yumei", "" ], [ "Pan", "Yu", "" ] ]

On the basis of the state parameter of de Sitter space-time satisfying the first law of thermodynamics,we can derive some effective thermodynamic quantities.When the temperature of the black hole horizon is equal to that of the cosmological horizon, we think that the effective temperature of the space-time should have the same value. Using this condition, we obtain a differential equation of the entropy of the de Sitter black hole in the higherdimensional de Rham, Gabadadze and Tolley (dRGT) massive gravity. Solving the differential equation, we obtain the corrected entropy and effective thermodynamic quantities of the de Sitter black hole. The results show that for multiparameter black holes, the entropy satisfied differential equation is invariable with different independent state parameters. Therefore, the entropy of higher-dimensional dS black holes in dRGT massive gravity is only a function of the position of the black hole horizon, and is independent of other state parameters. It is consistent with the corresponding entropy of the black hole horizon and the cosmological horizon. The thermodynamic quantities of self-consistent de Sitter spacetime are given theoretically, and the equivalent thermodynamic quantities have the second-order phase transformation similar to AdS black hole, but unlike AdS black hole, the equivalent temperature of de Sitter space-time has a maximum value. By satisfying the requirement of thermodynamic equilibrium and stability of space-time, the conditions for the existence of dS black holes in the universe are obtained.

7.141467

7.160399

6.841486

6.51661

6.986025

7.251392

7.391328

6.855206

6.937892

7.456786

6.955115

7.079314

6.71067

6.531472

6.968895

6.737275

7.158611

6.846273

6.802102

7.139066

6.791743

2101.10594

Amir Abbass Varshovi

star-Cohomology, Connes-Chern Characters, and Anomalies in General Translation-Invariant Noncommutative Yang-Mills

18 pages

null

hep-th

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

Topological structure of translation-invariant noncommutative Yang-Mills theories are studied by means of a cohomology theory, so called star-cohomology, which plays an intermediate role between de Rham and cyclic (co)homology theory for noncommutative algebras and gives rise to a cohomological formulation comparable to Seiberg-Witten map.

[ { "created": "Tue, 26 Jan 2021 06:57:31 GMT", "version": "v1" } ]

2021-01-27

[ [ "Varshovi", "Amir Abbass", "" ] ]

Topological structure of translation-invariant noncommutative Yang-Mills theories are studied by means of a cohomology theory, so called star-cohomology, which plays an intermediate role between de Rham and cyclic (co)homology theory for noncommutative algebras and gives rise to a cohomological formulation comparable to Seiberg-Witten map.

10.185283

9.17381

10.808743

8.435452

9.172604

9.392399

9.074929

9.884967

8.242264

11.361691

8.918121

8.208224

9.600496

8.734452

8.816381

8.926215

9.056486

8.919239

9.263327

9.438015

8.577406

hep-th/9801191

Christoph Schweigert

C. Schweigert, J. Fuchs

Classifying algebras for boundary conditions and traces on spaces of conformal blocks

7 pages, LaTeX. Slightly extended version of a talk given by C. Schweigert at the 31st International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany, September 1997

null

CERN-TH/98-18

hep-th

null

The boundary conditions of a non-trivial string background are classified. To this end we need traces on various spaces of conformal blocks, for which generalizations of the Verlinde formula are presented.

[ { "created": "Wed, 28 Jan 1998 13:19:10 GMT", "version": "v1" } ]

2007-05-23

[ [ "Schweigert", "C.", "" ], [ "Fuchs", "J.", "" ] ]

The boundary conditions of a non-trivial string background are classified. To this end we need traces on various spaces of conformal blocks, for which generalizations of the Verlinde formula are presented.

20.742245

13.908255

20.534702

13.899299

15.767555

16.21792

14.779338

15.519416

16.266527

19.100334

17.556532

15.267278

18.404331

16.154978

15.743334

15.602304

15.453524

15.488969

15.748482

17.415396

14.88117

1710.00554

Gabriele Tartaglino-Mazzucchelli

Evgeny I. Buchbinder, Jessica Hutomo, Sergei M. Kuzenko, and Gabriele Tartaglino-Mazzucchelli

Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions

63 pages; V2: minor corrections

Phys. Rev. D 96, 126015 (2017)

10.1103/PhysRevD.96.126015

null

hep-th

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

We develop off-shell formulations for ${\cal N}=1$ and ${\cal N}=2$ anti-de Sitter supergravity theories in three spacetime dimensions that contain gauge two-forms in the auxiliary field sector. These formulations are shown to allow consistent couplings of supergravity to the Green-Schwarz superstring with ${\cal N}=1$ or ${\cal N}=2$ spacetime supersymmetry. In addition to being $\kappa$-symmetric, the Green-Schwarz superstring actions constructed are also invariant under super-Weyl transformations of the target space. We also present a detailed study of models for spontaneously broken local supersymmetry in three dimensions obtained by coupling the known off-shell ${\cal N}=1$ and ${\cal N}=2$ supergravity theories to nilpotent Goldstino superfields.

[ { "created": "Mon, 2 Oct 2017 09:34:12 GMT", "version": "v1" }, { "created": "Wed, 11 Oct 2017 13:29:35 GMT", "version": "v2" } ]

2018-01-03

[ [ "Buchbinder", "Evgeny I.", "" ], [ "Hutomo", "Jessica", "" ], [ "Kuzenko", "Sergei M.", "" ], [ "Tartaglino-Mazzucchelli", "Gabriele", "" ] ]

We develop off-shell formulations for ${\cal N}=1$ and ${\cal N}=2$ anti-de Sitter supergravity theories in three spacetime dimensions that contain gauge two-forms in the auxiliary field sector. These formulations are shown to allow consistent couplings of supergravity to the Green-Schwarz superstring with ${\cal N}=1$ or ${\cal N}=2$ spacetime supersymmetry. In addition to being $\kappa$-symmetric, the Green-Schwarz superstring actions constructed are also invariant under super-Weyl transformations of the target space. We also present a detailed study of models for spontaneously broken local supersymmetry in three dimensions obtained by coupling the known off-shell ${\cal N}=1$ and ${\cal N}=2$ supergravity theories to nilpotent Goldstino superfields.

4.499735

3.946301

4.73525

4.098126

4.156754

4.000849

4.245023

4.103601

4.107471

4.924121

4.018178

4.070497

4.643535

4.346485

4.363385

4.0972

4.29051

4.325239

4.271881

4.687937

4.067637

2303.08020

Andrei Zotov

K. Atalikov, A. Zotov

Gauge equivalence between 1+1 rational Calogero-Moser field theory and higher rank Landau-Lifshitz equation

7 pages, minor corrections

Jetp Lett. 117, 630-634 (2023)

10.1134/S0021364023600714

null

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

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

In this paper we study 1+1 field generalization of the rational $N$-body Calogero-Moser model. We show that this model is gauge equivalent to some special higher rank matrix Landau-Lifshitz equation. The latter equation is described in terms of ${\rm GL}_N$ rational $R$-matrix, which turns into the 11-vertex $R$-matrix in the $N=2$ case. The rational $R$-matrix satisfies the associative Yang-Baxter equation, which underlies construction of the Lax pair for the Zakharov-Shabat equation. The field analogue of the IRF-Vertex transformation is proposed. It allows to compute explicit change of variables between the field Calogero-Moser model and the Landau-Lifshitz equation.

[ { "created": "Tue, 14 Mar 2023 16:03:33 GMT", "version": "v1" }, { "created": "Mon, 27 Mar 2023 20:57:48 GMT", "version": "v2" } ]

2023-06-16

[ [ "Atalikov", "K.", "" ], [ "Zotov", "A.", "" ] ]

In this paper we study 1+1 field generalization of the rational $N$-body Calogero-Moser model. We show that this model is gauge equivalent to some special higher rank matrix Landau-Lifshitz equation. The latter equation is described in terms of ${\rm GL}_N$ rational $R$-matrix, which turns into the 11-vertex $R$-matrix in the $N=2$ case. The rational $R$-matrix satisfies the associative Yang-Baxter equation, which underlies construction of the Lax pair for the Zakharov-Shabat equation. The field analogue of the IRF-Vertex transformation is proposed. It allows to compute explicit change of variables between the field Calogero-Moser model and the Landau-Lifshitz equation.

6.342756

5.959418

7.842651

5.986316

6.655282

6.400057

6.204711

6.481318

6.144561

7.934522

6.261801

6.274054

6.686475

5.938627

6.070372

6.283332

6.213839

6.076419

6.121429

6.685769

6.255643

2011.11002

Shinya Tomizawa

Shinya Tomizawa, Takahisa Igata

Stable bound orbits in black lens backgrounds

25 pages, 24 figures

Phys. Rev. D 102, 124079 (2020)

10.1103/PhysRevD.102.124079

TTI-MATHPHYS-2, KEK-TH-2281, KEK-Cosmo-0269

hep-th gr-qc

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

In contrast to five-dimensional Schwarzschild-Tangherlini and Myers-Perry backgrounds, we show that there are stable bound orbits of massive/massless particles in five-dimensional black lens backgrounds, in particular, the supersymmetric black lens with $L(2,1)$ and $L(3,1)$ topologies. We also show that in the zero-energy limit of massless particles, there exist stable circular orbits on the evanescent ergosurfaces.

[ { "created": "Sun, 22 Nov 2020 12:35:26 GMT", "version": "v1" } ]

2021-01-04

[ [ "Tomizawa", "Shinya", "" ], [ "Igata", "Takahisa", "" ] ]

In contrast to five-dimensional Schwarzschild-Tangherlini and Myers-Perry backgrounds, we show that there are stable bound orbits of massive/massless particles in five-dimensional black lens backgrounds, in particular, the supersymmetric black lens with $L(2,1)$ and $L(3,1)$ topologies. We also show that in the zero-energy limit of massless particles, there exist stable circular orbits on the evanescent ergosurfaces.

9.19326

8.002552

8.212088

7.23596

8.433288

7.861989

8.378919

6.928863

8.149996

8.032701

7.882896

8.251787

7.840844

8.007225

8.077069

8.462461

7.814075

8.079901

8.235833

8.311448

8.129378

1111.1878

Adil Belhaj Rogani

Adil Belhaj

On Fractional Quantum Hall Solitons and Chern-Simons Quiver Gauge Theories

11 pages, latex. Modified version, to appear in CQG(2012)

null

10.1088/0264-9381/29/9/095013

null

hep-th

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

We investigate a class of hierarchical multiple layers of fractional quantum Hall soliton (FQHS) systems from Chern-Simons quivers embedded in M-theory on the cotangent on a 2-dimensional complex toric variety \bf V^2, which is dual to type IIA superstring on a 3-dimensional complex manifold \bf {CP}^1\times V^2 fibered over a real line \mathbb{R}. Based on M-theory/Type IIA duality, FQHS systems can be derived from wrapped D4-branes on 2-cycles in \bf {CP}^1\times V^2 type IIA geometry. In this realization, the magnetic source can be identified with gauge fields obtained from the decomposition of the R-R 3-form on a generic combination of 2-cycles. Using type IIA D-brane flux data, we compute the filling factors for models relying on \bf{CP}^2 and the zeroth Hirzebruch surface.

[ { "created": "Tue, 8 Nov 2011 12:03:51 GMT", "version": "v1" }, { "created": "Sat, 24 Mar 2012 20:17:34 GMT", "version": "v2" } ]

2015-06-03

[ [ "Belhaj", "Adil", "" ] ]

We investigate a class of hierarchical multiple layers of fractional quantum Hall soliton (FQHS) systems from Chern-Simons quivers embedded in M-theory on the cotangent on a 2-dimensional complex toric variety \bf V^2, which is dual to type IIA superstring on a 3-dimensional complex manifold \bf {CP}^1\times V^2 fibered over a real line \mathbb{R}. Based on M-theory/Type IIA duality, FQHS systems can be derived from wrapped D4-branes on 2-cycles in \bf {CP}^1\times V^2 type IIA geometry. In this realization, the magnetic source can be identified with gauge fields obtained from the decomposition of the R-R 3-form on a generic combination of 2-cycles. Using type IIA D-brane flux data, we compute the filling factors for models relying on \bf{CP}^2 and the zeroth Hirzebruch surface.

10.948107

10.645052

12.729884

10.582108

10.737498

10.884654

10.388218

10.155064

9.989877

14.531257

10.522515

10.685447

11.186353

10.528428

10.917794

10.529532

10.66434

10.224201

10.892728

11.288584

10.335794

hep-th/0611215

Peter Matlock

N. D. Hari Dass, Peter Matlock

Our response to the response hep-th/0608109 by Drummond

9 pages

null

hep-th

null

We have carefully examined all the points raised by Drummond in his response hep-th/0608109 to our paper hep-th/0606265 wherein we had made some criticisms of his earlier work hep-th/0411017. We concede that Drummond is correct in claiming the non-existence of R^{-4} and R^{-5} order effective string actions in the parity conserving sector, though only insofar as equivalence of field theories is considered at the classical level; the situation in unclear when quantum equivalence is taken into consideration. We still maintain the existence of such terms in the parity violating sector. Nevertheless we point out that all this has no consequence for our original proof of the nonexistence of order-R^{-3} terms. Apart from this we refute Drummond's claims about our alleged use of field redefinitions as well as his criticism of our dropping R^{-4} terms in our analysis. We reject his contention that our work is merely a partial reconstruction of his original results and that our work contains technical and conceptual errors. We do acknowledge the importance of the absence of terms pointed out by Drummond.

[ { "created": "Mon, 20 Nov 2006 13:22:44 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dass", "N. D. Hari", "" ], [ "Matlock", "Peter", "" ] ]

We have carefully examined all the points raised by Drummond in his response hep-th/0608109 to our paper hep-th/0606265 wherein we had made some criticisms of his earlier work hep-th/0411017. We concede that Drummond is correct in claiming the non-existence of R^{-4} and R^{-5} order effective string actions in the parity conserving sector, though only insofar as equivalence of field theories is considered at the classical level; the situation in unclear when quantum equivalence is taken into consideration. We still maintain the existence of such terms in the parity violating sector. Nevertheless we point out that all this has no consequence for our original proof of the nonexistence of order-R^{-3} terms. Apart from this we refute Drummond's claims about our alleged use of field redefinitions as well as his criticism of our dropping R^{-4} terms in our analysis. We reject his contention that our work is merely a partial reconstruction of his original results and that our work contains technical and conceptual errors. We do acknowledge the importance of the absence of terms pointed out by Drummond.

13.323397

13.06545

13.381613

12.147243

13.446148

13.018429

13.181072

12.412037

12.345109

13.338685

12.399168

12.855507

12.574058

12.751146

12.568972

12.4427

12.921748

12.64789

12.63998

12.626534

12.435167

hep-th/9605125

Kojima Takeo

T. Kojima

Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions

LaTEX file, 27 pages, to appear in J. Stat. Phys. (1997)

null

10.1023/B:JOSS.0000015169.89162.d9

null

hep-th math.QA q-alg

null

We study density correlation functions for an impenetrable Bose gas in a finite box, with Neumann or Dirichlet boundary conditions in the ground state. We derive the Fredholm minor determinant formulas for the correlation functions. In the thermodynamic limit, we express the correlation functions in terms of solutions of non-linear differential equations which were introduced by Jimbo, Miwa, M\^ori and Sato as a generalization of the fifth Painlev\'e equations.

[ { "created": "Fri, 17 May 1996 15:53:13 GMT", "version": "v1" }, { "created": "Tue, 25 Mar 1997 23:42:55 GMT", "version": "v2" }, { "created": "Wed, 26 Mar 1997 20:12:24 GMT", "version": "v3" } ]

2009-10-30

[ [ "Kojima", "T.", "" ] ]

We study density correlation functions for an impenetrable Bose gas in a finite box, with Neumann or Dirichlet boundary conditions in the ground state. We derive the Fredholm minor determinant formulas for the correlation functions. In the thermodynamic limit, we express the correlation functions in terms of solutions of non-linear differential equations which were introduced by Jimbo, Miwa, M\^ori and Sato as a generalization of the fifth Painlev\'e equations.

6.533105

5.660311

8.345786

6.684381

6.785587

6.29571

6.705898

6.344497

6.216458

8.638599

6.198878

5.906157

6.965677

6.021931

6.260711

5.985698

6.579902

6.226682

6.281304

6.981029

5.960307

1212.4820

Sebastian Fischetti

Sebastian Fischetti, Donald Marolf, Jorge E. Santos

AdS flowing black funnels: Stationary AdS black holes with non-Killing horizons and heat transport in the dual CFT

31 pages

Class. Quantum Grav. 30 075001, 2013

10.1088/0264-9381/30/7/075001

null

hep-th gr-qc

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

We construct stationary non-equilibrium black funnels locally asymptotic to global AdS4 in vacuum Einstein-Hilbert gravity with negative cosmological constant. These are non-compactly-generated black holes in which a single connected bulk horizon extends to meet the conformal boundary. Thus the induced (conformal) boundary metric has smooth horizons as well. In our examples, the boundary spacetime contains a pair of black holes connected through the bulk by a tubular bulk horizon. Taking one boundary black hole to be hotter than the other ($\Delta T \neq 0$) prohibits equilibrium. The result is a so-called flowing funnel, a stationary bulk black hole with a non-Killing horizon that may be said to transport heat toward the cooler boundary black hole. While generators of the bulk future horizon evolve toward zero expansion in the far future, they begin at finite affine parameter with infinite expansion on a singular past horizon characterized by power-law divergences with universal exponents. We explore both the horizon generators and the boundary stress tensor in detail. While most of our results are numerical, a semi-analytic fluid/gravity description can be obtained by passing to a one-parameter generalization of the above boundary conditions. The new parameter detunes the temperatures $T_{bulk BH}$ and $T_{bndy BH}$ of the bulk and boundary black holes, and we may then take \alpha = $T_\mathrm{bndy BH}/T_\mathrm{bulk BH}$ and \Delta T small to control the accuracy of the fluid-gravity approximation. In the small \alpha, \Delta T regime we find excellent agreement with our numerical solutions. For our cases the agreement also remains quite good even for $\alpha \sim 0.8$. In terms of a dual CFT, our \alpha = 1 solutions describe heat transport via a large N version of Hawking radiation through a deconfined plasma that couples efficiently to both boundary black holes.

[ { "created": "Wed, 19 Dec 2012 20:33:08 GMT", "version": "v1" }, { "created": "Wed, 6 Mar 2013 18:33:46 GMT", "version": "v2" } ]

2013-03-07

[ [ "Fischetti", "Sebastian", "" ], [ "Marolf", "Donald", "" ], [ "Santos", "Jorge E.", "" ] ]

We construct stationary non-equilibrium black funnels locally asymptotic to global AdS4 in vacuum Einstein-Hilbert gravity with negative cosmological constant. These are non-compactly-generated black holes in which a single connected bulk horizon extends to meet the conformal boundary. Thus the induced (conformal) boundary metric has smooth horizons as well. In our examples, the boundary spacetime contains a pair of black holes connected through the bulk by a tubular bulk horizon. Taking one boundary black hole to be hotter than the other ($\Delta T \neq 0$) prohibits equilibrium. The result is a so-called flowing funnel, a stationary bulk black hole with a non-Killing horizon that may be said to transport heat toward the cooler boundary black hole. While generators of the bulk future horizon evolve toward zero expansion in the far future, they begin at finite affine parameter with infinite expansion on a singular past horizon characterized by power-law divergences with universal exponents. We explore both the horizon generators and the boundary stress tensor in detail. While most of our results are numerical, a semi-analytic fluid/gravity description can be obtained by passing to a one-parameter generalization of the above boundary conditions. The new parameter detunes the temperatures $T_{bulk BH}$ and $T_{bndy BH}$ of the bulk and boundary black holes, and we may then take \alpha = $T_\mathrm{bndy BH}/T_\mathrm{bulk BH}$ and \Delta T small to control the accuracy of the fluid-gravity approximation. In the small \alpha, \Delta T regime we find excellent agreement with our numerical solutions. For our cases the agreement also remains quite good even for $\alpha \sim 0.8$. In terms of a dual CFT, our \alpha = 1 solutions describe heat transport via a large N version of Hawking radiation through a deconfined plasma that couples efficiently to both boundary black holes.

11.957966

13.896309

14.475577

12.374455

13.777137

13.320878

14.982658

13.178036

12.476048

14.387331

12.647567

12.374296

12.86069

12.074305

12.387697

12.081958

12.397788

12.326344

12.110315

12.760963

11.579159

2002.11168

Christian Saemann

Branislav Jurco, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf

Perturbative Quantum Field Theory and Homotopy Algebras

v2: 25 pages, contribution to the proceedings of the Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity", typos fixed, published version

PoS (CORFU2019) 199

10.22323/1.376.0199

DMUS-MP-20/01, EMPG-20-06

hep-th math-ph math.MP

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

We review the homotopy algebraic perspective on perturbative quantum field theory: classical field theories correspond to homotopy algebras such as $A_\infty$- and $L_\infty$-algebras. Furthermore, their scattering amplitudes are encoded in minimal models of these homotopy algebras at tree level and their quantum relatives at loop level. The translation between Lagrangian field theories and homotopy algebras is provided by the Batalin--Vilkovisky formalism. The minimal models are computed recursively using the homological perturbation lemma, which induces useful recursion relations for the computation of scattering amplitudes. After explaining how the homological perturbation lemma produces the usual Feynman diagram expansion, we use our techniques to verify an identity for the Berends--Giele currents which implies the Kleiss--Kuijf relations.

[ { "created": "Tue, 25 Feb 2020 20:47:56 GMT", "version": "v1" }, { "created": "Fri, 21 Aug 2020 09:41:51 GMT", "version": "v2" } ]

2020-08-24

[ [ "Jurco", "Branislav", "" ], [ "Kim", "Hyungrok", "" ], [ "Macrelli", "Tommaso", "" ], [ "Saemann", "Christian", "" ], [ "Wolf", "Martin", "" ] ]

We review the homotopy algebraic perspective on perturbative quantum field theory: classical field theories correspond to homotopy algebras such as $A_\infty$- and $L_\infty$-algebras. Furthermore, their scattering amplitudes are encoded in minimal models of these homotopy algebras at tree level and their quantum relatives at loop level. The translation between Lagrangian field theories and homotopy algebras is provided by the Batalin--Vilkovisky formalism. The minimal models are computed recursively using the homological perturbation lemma, which induces useful recursion relations for the computation of scattering amplitudes. After explaining how the homological perturbation lemma produces the usual Feynman diagram expansion, we use our techniques to verify an identity for the Berends--Giele currents which implies the Kleiss--Kuijf relations.

5.018704

5.241334

6.487672

5.309744

5.572893

5.276887

5.338384

4.931183

5.352328

6.443921

5.265689

5.282156

5.312579

5.068987

5.139711

5.291766

5.090782

5.021709

5.129395

5.249632

5.055164

hep-th/9803075

Frank Wilczek

Quantum Field Theory

LaTeX, 12 pages, 3 figures. Will appear in Centenary issue of Rev. of Mod. Phys., March 1999. Incorporated minor corrections suggested by editor

Rev.Mod.Phys.71:S85-S95,1999

10.1103/RevModPhys.71.S85

IASSNS-HEP98-20

hep-th hep-ex hep-lat hep-ph

null

I discuss the general principles underlying quantum field theory, and attempt to identify its most profound consequences. The deepest of these consequences result from the infinite number of degrees of freedom invoked to implement locality. I mention a few of its most striking successes, both achieved and prospective. Possible limitations of quantum field theory are viewed in the light of its history.

[ { "created": "Mon, 9 Mar 1998 21:11:22 GMT", "version": "v1" }, { "created": "Tue, 19 May 1998 18:51:36 GMT", "version": "v2" } ]

2008-11-26

[ [ "Wilczek", "Frank", "" ] ]

I discuss the general principles underlying quantum field theory, and attempt to identify its most profound consequences. The deepest of these consequences result from the infinite number of degrees of freedom invoked to implement locality. I mention a few of its most striking successes, both achieved and prospective. Possible limitations of quantum field theory are viewed in the light of its history.

16.538334

17.503469

16.177773

15.855976

16.048616

16.062601

15.275634

15.894825

15.952798

15.21061

15.470695

15.859398

15.749104

15.508534

15.543085

15.925628

15.292155

15.219276

15.822095

15.302794

15.494269

hep-th/9410033

Doron Gepner

Doron Gepner (Caltech)

Lattice models and generalized Rogers Ramanujan identities

null

Phys.Lett. B348 (1995) 377-385

10.1016/0370-2693(95)00173-I

null

hep-th

null

We revisit the solvable lattice models described by Andrews Baxter and Forrester and their generalizations. The expressions for the local state probabilities were shown to be related to characters of the minimal models. We recompute these local state probabilities by a different method. This yields generalized Rogers Ramanujan identities, some of which recently conjectured by Kedem et al. Our method provides a proof for some cases, as well as generating new such identities.

[ { "created": "Wed, 5 Oct 1994 23:34:35 GMT", "version": "v1" } ]

2009-10-28

[ [ "Gepner", "Doron", "", "Caltech" ] ]

We revisit the solvable lattice models described by Andrews Baxter and Forrester and their generalizations. The expressions for the local state probabilities were shown to be related to characters of the minimal models. We recompute these local state probabilities by a different method. This yields generalized Rogers Ramanujan identities, some of which recently conjectured by Kedem et al. Our method provides a proof for some cases, as well as generating new such identities.

13.372115

11.073956

17.556551

10.484161

11.787227

12.538218

10.099259

11.007982

10.905726

17.949535

11.149781

11.313021

14.206657

12.391435

11.772693

12.36449

11.70283

11.844536

12.270347

13.035604

11.5502

hep-th/9810246

Dmitrij Shirkov

D.V. Shirkov

Renorm-group, Causality and Non-power Perturbation Expansion in QFT

12 pages, LaTeX To appear in Teor. Mat. Fizika 119 (1999) No.1

Theor.Math.Phys. 119 (1999) 438-447; Teor.Mat.Fiz. 119 (1999) 55-66

10.1007/BF02557342

null

hep-th

null

The structure of the QFT expansion is studied in the framework of a new "Invariant analytic" version of the perturbative QCD. Here, an invariant (running) coupling $a(Q^2/\Lambda^2)=\beta_1\alpha_s(Q^2)/4\pi$ is transformed into a "$Q^2$--analytized" invariant coupling $a_{\rm an}(Q^2/\Lambda^2) \equiv {\cal A}(x)$ which, by constuction, is free of ghost singularities due to incorporating some nonperturbative structures. Meanwhile, the "analytized" perturbation expansion for an observable $F$, in contrast with the usual case, may contain specific functions ${\cal A}_n(x)= [a^n(x)]_{\rm an}$, the "n-th power of $a(x)$ analytized as a whole", instead of $({\cal A}(x))^n$. In other words, the pertubation series for $F(x)$, due to analyticity imperative, may change its form turning into an {\it asymptotic expansion \`a la Erd\'elyi over a nonpower set} $\{{\cal A}_n(x)\}$. We analyse sets of functions $\{{\cal A}_n(x)\}$ and discuss properties of non-power expansion arising with their relations to feeble loop and scheme dependence of observables. The issue of ambiguity of the invariant analytization procedure and of possible inconsistency of some of its versions with the RG structure is also discussed.

[ { "created": "Fri, 30 Oct 1998 09:47:29 GMT", "version": "v1" }, { "created": "Tue, 10 Nov 1998 10:34:15 GMT", "version": "v2" }, { "created": "Tue, 9 Mar 1999 10:54:06 GMT", "version": "v3" } ]

2014-11-18

[ [ "Shirkov", "D. V.", "" ] ]

The structure of the QFT expansion is studied in the framework of a new "Invariant analytic" version of the perturbative QCD. Here, an invariant (running) coupling $a(Q^2/\Lambda^2)=\beta_1\alpha_s(Q^2)/4\pi$ is transformed into a "$Q^2$--analytized" invariant coupling $a_{\rm an}(Q^2/\Lambda^2) \equiv {\cal A}(x)$ which, by constuction, is free of ghost singularities due to incorporating some nonperturbative structures. Meanwhile, the "analytized" perturbation expansion for an observable $F$, in contrast with the usual case, may contain specific functions ${\cal A}_n(x)= [a^n(x)]_{\rm an}$, the "n-th power of $a(x)$ analytized as a whole", instead of $({\cal A}(x))^n$. In other words, the pertubation series for $F(x)$, due to analyticity imperative, may change its form turning into an {\it asymptotic expansion \`a la Erd\'elyi over a nonpower set} $\{{\cal A}_n(x)\}$. We analyse sets of functions $\{{\cal A}_n(x)\}$ and discuss properties of non-power expansion arising with their relations to feeble loop and scheme dependence of observables. The issue of ambiguity of the invariant analytization procedure and of possible inconsistency of some of its versions with the RG structure is also discussed.

11.413861

12.113752

11.867245

10.957628

12.787317

12.689902

12.629448

12.82541

11.18024

12.109239

12.166663

11.314092

11.004397

11.002971

11.443581

11.39789

11.543648

11.315314

11.24795

11.077281

11.525043

2307.04891

Eyup Bedirhan Unlu

Roy T. Forestano, Konstantin T. Matchev, Katia Matcheva, Alexander Roman, Eyup B. Unlu, Sarunas Verner

Accelerated Discovery of Machine-Learned Symmetries: Deriving the Exceptional Lie Groups G2, F4 and E6

11 pages, 7 figures

null

hep-th cs.LG hep-ph math-ph math.GR math.MP

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

Recent work has applied supervised deep learning to derive continuous symmetry transformations that preserve the data labels and to obtain the corresponding algebras of symmetry generators. This letter introduces two improved algorithms that significantly speed up the discovery of these symmetry transformations. The new methods are demonstrated by deriving the complete set of generators for the unitary groups U(n) and the exceptional Lie groups $G_2$, $F_4$, and $E_6$. A third post-processing algorithm renders the found generators in sparse form. We benchmark the performance improvement of the new algorithms relative to the standard approach. Given the significant complexity of the exceptional Lie groups, our results demonstrate that this machine-learning method for discovering symmetries is completely general and can be applied to a wide variety of labeled datasets.

[ { "created": "Mon, 10 Jul 2023 20:25:44 GMT", "version": "v1" } ]

2023-07-12

[ [ "Forestano", "Roy T.", "" ], [ "Matchev", "Konstantin T.", "" ], [ "Matcheva", "Katia", "" ], [ "Roman", "Alexander", "" ], [ "Unlu", "Eyup B.", "" ], [ "Verner", "Sarunas", "" ] ]

Recent work has applied supervised deep learning to derive continuous symmetry transformations that preserve the data labels and to obtain the corresponding algebras of symmetry generators. This letter introduces two improved algorithms that significantly speed up the discovery of these symmetry transformations. The new methods are demonstrated by deriving the complete set of generators for the unitary groups U(n) and the exceptional Lie groups $G_2$, $F_4$, and $E_6$. A third post-processing algorithm renders the found generators in sparse form. We benchmark the performance improvement of the new algorithms relative to the standard approach. Given the significant complexity of the exceptional Lie groups, our results demonstrate that this machine-learning method for discovering symmetries is completely general and can be applied to a wide variety of labeled datasets.

12.070845

11.613262

12.578984

11.133988

11.180457

11.259459

11.446974

12.356292

11.144112

12.063194

11.117259

11.327652

11.116717

10.77242

11.361954

11.206868

10.698083

10.693

10.748318

11.1154

11.362309

2110.07614

Monica Guica

$J\bar T$-deformed CFTs as non-local CFTs

34 pp

null

hep-th

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

Various holographic set-ups in string theory suggest the existence of non-local, UV complete two-dimensional QFTs that possess Virasoro symmetry, in spite of their non-locality. We argue that $J\bar T$-deformed CFTs are the first concrete realisation of such "non-local CFTs", through a detailed analysis of their classical and quantum symmetry algebra. Classically, the symmetries consist of an infinite set of left-moving conformal and affine $U(1)$ transformations that generate a Witt-Kac-Moody algebra, as well as a set of non-local, field-dependent generalizations of right-moving conformal and affine $U(1)$ transformations, whose algebra depends on the chosen basis. Notably, there exists a basis, denoted as the "flowed" representation, in which the right-moving charge algebra is simply Witt-Kac-Moody. At the quantum level, we provide a concrete prescription for constructing the symmetry generators via a combination of the flow equations they satisfy and the Sugawara construction, and use this to explicitly resolve the ordering ambiguities and the quantum corrections to the generators up to second order in the $J\bar T$ coupling parameter. This construction naturally produces the "flowed" generators, whose algebra is Virasoro-Kac-Moody to all orders in the coupling, with the same central extension as that of the undeformed CFT. We use this input to work out the quantum modifications to the "unflowed" generator algebra. A peculiarity of the Virasoro generators we study is that their zero mode does not equal the Hamiltonian, but is a quadratic function of it; this helps reconcile the Virasoro symmetry with the non-locality of the model. We argue that also $T\bar T$-deformed CFTs posses Virasoro symmetry, and discuss the existence of such a symmetry in more general non-local QFTs.

[ { "created": "Thu, 14 Oct 2021 18:00:01 GMT", "version": "v1" } ]

2021-10-18

[ [ "Guica", "Monica", "" ] ]

Various holographic set-ups in string theory suggest the existence of non-local, UV complete two-dimensional QFTs that possess Virasoro symmetry, in spite of their non-locality. We argue that $J\bar T$-deformed CFTs are the first concrete realisation of such "non-local CFTs", through a detailed analysis of their classical and quantum symmetry algebra. Classically, the symmetries consist of an infinite set of left-moving conformal and affine $U(1)$ transformations that generate a Witt-Kac-Moody algebra, as well as a set of non-local, field-dependent generalizations of right-moving conformal and affine $U(1)$ transformations, whose algebra depends on the chosen basis. Notably, there exists a basis, denoted as the "flowed" representation, in which the right-moving charge algebra is simply Witt-Kac-Moody. At the quantum level, we provide a concrete prescription for constructing the symmetry generators via a combination of the flow equations they satisfy and the Sugawara construction, and use this to explicitly resolve the ordering ambiguities and the quantum corrections to the generators up to second order in the $J\bar T$ coupling parameter. This construction naturally produces the "flowed" generators, whose algebra is Virasoro-Kac-Moody to all orders in the coupling, with the same central extension as that of the undeformed CFT. We use this input to work out the quantum modifications to the "unflowed" generator algebra. A peculiarity of the Virasoro generators we study is that their zero mode does not equal the Hamiltonian, but is a quadratic function of it; this helps reconcile the Virasoro symmetry with the non-locality of the model. We argue that also $T\bar T$-deformed CFTs posses Virasoro symmetry, and discuss the existence of such a symmetry in more general non-local QFTs.

6.731528

6.665988

7.520001

6.629389

6.663586

6.671124

6.49228

6.246821

6.347076

8.225117

6.4897

6.26752

6.687608

6.389106

6.429349

6.342201

6.535308

6.294874

6.372625

6.653558

6.381187

hep-th/0501112

Antonios Papazoglou

Eleftherios Papantonopoulos (Athens, Tech. U.), Antonios Papazoglou (ITP, Lausanne)

Brane-bulk matter relation for a purely conical codimension-2 brane world

12 pages, mistake corrected, references added

JCAP 0507 (2005) 004

10.1088/1475-7516/2005/07/004

null

hep-th gr-qc

null

We study gravity on an infinitely thin codimension-2 brane world, with purely conical singularities and in the presence of an induced gravity term on the brane. We show that in this approximation, the energy momentum tensor of the bulk is strongly related to the energy momentum tensor of the brane and thus the gravity dynamics on the brane are induced by the bulk content. This is in contrast with the gravity dynamics on a codimension-1 brane. We show how this strong result is relaxed after including a Gauss-Bonnet term in the bulk.

[ { "created": "Fri, 14 Jan 2005 17:05:37 GMT", "version": "v1" }, { "created": "Thu, 20 Jan 2005 19:12:40 GMT", "version": "v2" }, { "created": "Mon, 4 Jul 2005 13:50:01 GMT", "version": "v3" } ]

2009-11-11

[ [ "Papantonopoulos", "Eleftherios", "", "Athens, Tech. U." ], [ "Papazoglou", "Antonios", "", "ITP, Lausanne" ] ]

We study gravity on an infinitely thin codimension-2 brane world, with purely conical singularities and in the presence of an induced gravity term on the brane. We show that in this approximation, the energy momentum tensor of the bulk is strongly related to the energy momentum tensor of the brane and thus the gravity dynamics on the brane are induced by the bulk content. This is in contrast with the gravity dynamics on a codimension-1 brane. We show how this strong result is relaxed after including a Gauss-Bonnet term in the bulk.

7.818186

7.788083

8.24117

7.05628

7.702431

7.417313

7.099118

7.326257

7.293457

8.861116

7.469186

7.644467

7.905428

7.850992

7.906177

7.829394

7.81355

7.824291

7.662618

7.826356

7.623074

hep-th/9711143

null

Jan de Boer, Kentaro Hori, Hirosi Ooguri and Yaron Oz

Kahler Potential and Higher Derivative Terms from M Theory Fivebrane

LaTeX, 44 pages, two figures

Nucl.Phys.B518:173-211,1998

10.1016/S0550-3213(98)00152-7

null

hep-th

null

The construction of four dimensional supersymmetric gauge theories via the fivebrane of M theory wrapped around a Riemann surface has been successfully applied to the computation of holomorphic quantities of field theory. In this paper we compute non-holomorphic quantities in the eleven dimensional supergravity limit of M theory. While the Kahler potential on the Coulomb of N=2 theories is correctly reproduced, higher derivative terms in the N=2 effective action differ from what is expected for the four dimensional gauge theory. For the Kahler potential of N=1 theories at an abelian Coulomb phase, the result again differs from what is expected for the four-dimensional gauge theory. Using a gravitational back reaction method for the fivebrane we compute the metric on the Higgs branch of N=2 gauge theories. Here we find an agreement with the results expected for the gauge theories. A similar computation of the metric on N=1 Higgs branches yields information on the complex structure associated with the flavor rotation in one case and the classical metric in another. We discuss what four-dimensional field theory quantities can be computed via the fivebrane in the supergravity limit of M theory.

[ { "created": "Wed, 19 Nov 1997 18:51:28 GMT", "version": "v1" } ]

2009-09-17

[ [ "de Boer", "Jan", "" ], [ "Hori", "Kentaro", "" ], [ "Ooguri", "Hirosi", "" ], [ "Oz", "Yaron", "" ] ]

The construction of four dimensional supersymmetric gauge theories via the fivebrane of M theory wrapped around a Riemann surface has been successfully applied to the computation of holomorphic quantities of field theory. In this paper we compute non-holomorphic quantities in the eleven dimensional supergravity limit of M theory. While the Kahler potential on the Coulomb of N=2 theories is correctly reproduced, higher derivative terms in the N=2 effective action differ from what is expected for the four dimensional gauge theory. For the Kahler potential of N=1 theories at an abelian Coulomb phase, the result again differs from what is expected for the four-dimensional gauge theory. Using a gravitational back reaction method for the fivebrane we compute the metric on the Higgs branch of N=2 gauge theories. Here we find an agreement with the results expected for the gauge theories. A similar computation of the metric on N=1 Higgs branches yields information on the complex structure associated with the flavor rotation in one case and the classical metric in another. We discuss what four-dimensional field theory quantities can be computed via the fivebrane in the supergravity limit of M theory.

8.304822

8.85332

9.81648

8.063928

8.463938

8.449492

8.695715

8.966837

8.292933

10.276067

8.007986

7.935819

8.411611

8.229354

7.810741

8.183859

7.829499

7.925091

7.998007

8.560374

7.897085

1510.05778

Chen-Pin Yeh

Chen-Pin Yeh and Da-Shin Lee

Subvacuum effects in Quantum Critical Theories from Holographic Approach

This is the version (v2) published in PRD

Phys. Rev. D 93, 126006 (2016)

10.1103/PhysRevD.93.126006

null

hep-th

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

Subvacuum phenomena on a massive particle induced by a squeezed vacuum state of strongly coupled critical fields with a dynamical scaling $z$ are studied by employing the holographic approach. The corresponding dual description is the string moving in the 4+1-dimensional Lifshitz geometry. The squeezed vacuum state is constructed from the Bogoliubov transformations of the creation and annihilation operators of the pure vacuum state as a result from the perturbed geometry. Then the influence on particle's velocity dispersion from the squeezed vacuum is studied. With appropriate choices of squeezing parameters, the velocity dispersion is found smaller than the value caused by the normal vacuum fluctuations. This leads to a subvacuum effect. We find that the reduction in the velocity dispersion is suppressed by a large coupling constant of quantum critical fields, but is in principle observable. We then investigate the effect of the squeezed vacuum to the decoherence dynamics of a quantum particle. It is found possible for this decoherence to be below the level from the pure vacuum, rendering another subvacuum phenomenon of recoherence. We make some estimates of the degree of recoherence, and show that, in contrary to the velocity dispersion, the recoherence effect is proportional to the large coupling constant, and can potentially be observed. Finally we make a comparison with the effect on the particle influenced by a relativistic free field with the dynamical scaling $z=1$.

[ { "created": "Tue, 20 Oct 2015 08:07:12 GMT", "version": "v1" }, { "created": "Fri, 24 Jun 2016 07:22:04 GMT", "version": "v2" } ]

2016-07-06

[ [ "Yeh", "Chen-Pin", "" ], [ "Lee", "Da-Shin", "" ] ]

Subvacuum phenomena on a massive particle induced by a squeezed vacuum state of strongly coupled critical fields with a dynamical scaling $z$ are studied by employing the holographic approach. The corresponding dual description is the string moving in the 4+1-dimensional Lifshitz geometry. The squeezed vacuum state is constructed from the Bogoliubov transformations of the creation and annihilation operators of the pure vacuum state as a result from the perturbed geometry. Then the influence on particle's velocity dispersion from the squeezed vacuum is studied. With appropriate choices of squeezing parameters, the velocity dispersion is found smaller than the value caused by the normal vacuum fluctuations. This leads to a subvacuum effect. We find that the reduction in the velocity dispersion is suppressed by a large coupling constant of quantum critical fields, but is in principle observable. We then investigate the effect of the squeezed vacuum to the decoherence dynamics of a quantum particle. It is found possible for this decoherence to be below the level from the pure vacuum, rendering another subvacuum phenomenon of recoherence. We make some estimates of the degree of recoherence, and show that, in contrary to the velocity dispersion, the recoherence effect is proportional to the large coupling constant, and can potentially be observed. Finally we make a comparison with the effect on the particle influenced by a relativistic free field with the dynamical scaling $z=1$.

11.802179

12.004763

11.729513

10.911487

11.467305

12.014792

11.664143

10.972647

11.727089

12.575934

10.677804

11.044541

11.273496

10.453419

10.540688

10.783437

11.162679

10.691333

10.949483

10.84212

10.613533

1801.04942

Ingmar Saberi

Holography and local fields

26 pages, no figures to speak of. The talk on which this proceeding is based was delivered at the sixth international conference on p-adic mathematical physics and its applications, held at CINVESTAV, Mexico City, October 23--27, 2017

null

hep-th

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

This paper, which is a summary (in which considerable creative license has been taken) of the author's talk at the sixth international conference on $p$-adic mathematical physics and its applications (CINVESTAV, Mexico City, October 2017), reviews some recent work connecting field theories defined on the $p$-adic numbers and ideas from the AdS/CFT correspondence. Some results are included, along with general discussion of the utility and interest of $p$-adic analogues of Lagrangian field theories, at least from the author's perspective. A few challenges, shortcomings, and ideas for future work are also discussed.

[ { "created": "Mon, 15 Jan 2018 19:00:14 GMT", "version": "v1" } ]

2018-01-17

[ [ "Saberi", "Ingmar", "" ] ]

This paper, which is a summary (in which considerable creative license has been taken) of the author's talk at the sixth international conference on $p$-adic mathematical physics and its applications (CINVESTAV, Mexico City, October 2017), reviews some recent work connecting field theories defined on the $p$-adic numbers and ideas from the AdS/CFT correspondence. Some results are included, along with general discussion of the utility and interest of $p$-adic analogues of Lagrangian field theories, at least from the author's perspective. A few challenges, shortcomings, and ideas for future work are also discussed.

8.611645

9.708346

8.646908

8.195998

8.263597

9.453201

10.000723

9.062776

9.166178

9.196388

8.792086

8.224079

8.359718

7.94789

7.860835

8.26702

7.799263

8.026298

8.213794

8.02326

8.057241

1109.6644

Hyun Seok Yang

Jungjai Lee, John J. Oh and Hyun Seok Yang

An Efficient Representation of Euclidean Gravity I

31 pages, 1 figure

JHEP 1112:025,2011

10.1007/JHEP12(2011)025

null

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

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

We explore how the topology of spacetime fabric is encoded into the local structure of Riemannian metrics using the gauge theory formulation of Euclidean gravity. In part I, we provide a rigorous mathematical foundation to prove that a general Einstein manifold arises as the sum of SU(2)_L Yang-Mills instantons and SU(2)_R anti-instantons where SU(2)_L and SU(2)_R are normal subgroups of the four-dimensional Lorentz group Spin(4) = SU(2)_L x SU(2)_R. Our proof relies only on the general properties in four dimensions: The Lorentz group Spin(4) is isomorphic to SU(2)_L x SU(2)_R and the six-dimensional vector space of two-forms splits canonically into the sum of three-dimensional vector spaces of self-dual and anti-self-dual two-forms. Consolidating these two, it turns out that the splitting of Spin(4) is deeply correlated with the decomposition of two-forms on four-manifold which occupies a central position in the theory of four-manifolds.

[ { "created": "Thu, 29 Sep 2011 19:57:31 GMT", "version": "v1" }, { "created": "Mon, 3 Oct 2011 05:22:35 GMT", "version": "v2" } ]

2012-02-28

[ [ "Lee", "Jungjai", "" ], [ "Oh", "John J.", "" ], [ "Yang", "Hyun Seok", "" ] ]

We explore how the topology of spacetime fabric is encoded into the local structure of Riemannian metrics using the gauge theory formulation of Euclidean gravity. In part I, we provide a rigorous mathematical foundation to prove that a general Einstein manifold arises as the sum of SU(2)_L Yang-Mills instantons and SU(2)_R anti-instantons where SU(2)_L and SU(2)_R are normal subgroups of the four-dimensional Lorentz group Spin(4) = SU(2)_L x SU(2)_R. Our proof relies only on the general properties in four dimensions: The Lorentz group Spin(4) is isomorphic to SU(2)_L x SU(2)_R and the six-dimensional vector space of two-forms splits canonically into the sum of three-dimensional vector spaces of self-dual and anti-self-dual two-forms. Consolidating these two, it turns out that the splitting of Spin(4) is deeply correlated with the decomposition of two-forms on four-manifold which occupies a central position in the theory of four-manifolds.

5.969214

6.185623

6.044287

5.908548

6.529208

6.120147

6.003613

6.128993

5.908431

6.83324

5.794707

5.687105

5.958889

5.739943

5.647326

5.739163

5.654428

5.844948

5.694514

5.807325

5.756385

hep-th/0107150

Philippe Ruelle

S. Mahieu, P. Ruelle

Scaling fields in the two-dimensional abelian sandpile model

22 pages, 1 figure (eps), uses revtex

Phys.Rev. E64 (2001) 066130

10.1103/PhysRevE.64.066130

UCL-IPT-01-09 (University of Louvain)

hep-th cond-mat.stat-mech

null

We consider the isotropic two-dimensional abelian sandpile model from a perspective based on two-dimensional (conformal) field theory. We compute lattice correlation functions for various cluster variables (at and off criticality), from which we infer the field-theoretic description in the scaling limit. We find a perfect agreement with the predictions of a c=-2 conformal field theory and its massive perturbation, thereby providing direct evidence for conformal invariance and more generally for a description in terms of a local field theory. The question of the height 2 variable is also addressed, with however no definite conclusion yet.

[ { "created": "Wed, 18 Jul 2001 13:43:04 GMT", "version": "v1" } ]

2009-11-07

[ [ "Mahieu", "S.", "" ], [ "Ruelle", "P.", "" ] ]

We consider the isotropic two-dimensional abelian sandpile model from a perspective based on two-dimensional (conformal) field theory. We compute lattice correlation functions for various cluster variables (at and off criticality), from which we infer the field-theoretic description in the scaling limit. We find a perfect agreement with the predictions of a c=-2 conformal field theory and its massive perturbation, thereby providing direct evidence for conformal invariance and more generally for a description in terms of a local field theory. The question of the height 2 variable is also addressed, with however no definite conclusion yet.

10.021524

10.297433

12.785848

9.58004

10.653422

11.338638

10.85703

10.00914

9.774874

12.335711

10.131419

9.755863

11.207798

10.44307

10.050344

10.096669

9.791313

10.037352

9.915404

11.301625

9.886452

hep-th/0009237

Richard Szabo

Richard J. Szabo

Microscopic Spectrum of the QCD Dirac Operator in Three Dimensions

40 pages LaTeX; Typos corrected and references added

Nucl.Phys. B598 (2001) 309-347

10.1016/S0550-3213(00)00775-6

HWM00-22

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

null

The microscopic spectral correlators of the Dirac operator in three-dimensional Yang-Mills theory coupled to fundamental fermions and with three or more colours are derived from the supersymmetric formulation of partially quenched effective Lagrangians. The flavour supersymmetry breaking patterns are appropriately identified and used to calculate the corresponding finite volume partition functions from Itzykson-Zuber type integrals over supersymmetric cosets. New and simple determinant expressions for the spectral correlators in the mesoscopic scaling region are thereby found. The microscopic spectrum derived from the effective finite volume partition function of three-dimensional QCD agrees with earlier results based on the unitary ensemble of random matrix theory and extends the corresponding calculations for QCD in four dimensions.

[ { "created": "Thu, 28 Sep 2000 18:24:27 GMT", "version": "v1" }, { "created": "Tue, 5 Dec 2000 15:22:44 GMT", "version": "v2" } ]

2009-10-31

[ [ "Szabo", "Richard J.", "" ] ]

The microscopic spectral correlators of the Dirac operator in three-dimensional Yang-Mills theory coupled to fundamental fermions and with three or more colours are derived from the supersymmetric formulation of partially quenched effective Lagrangians. The flavour supersymmetry breaking patterns are appropriately identified and used to calculate the corresponding finite volume partition functions from Itzykson-Zuber type integrals over supersymmetric cosets. New and simple determinant expressions for the spectral correlators in the mesoscopic scaling region are thereby found. The microscopic spectrum derived from the effective finite volume partition function of three-dimensional QCD agrees with earlier results based on the unitary ensemble of random matrix theory and extends the corresponding calculations for QCD in four dimensions.

13.234009

11.680264

13.808262

11.387794

12.244408

12.245525

11.925173

12.270007

12.458609

15.611191

12.01301

12.005262

12.763878

12.108196

12.384756

12.40552

11.452012

12.805464

12.146126

13.027315

11.968368

hep-th/0407088

Peter West

P. West

Some simple predictions from E_{11} symmetry

plain tex, 14 pages

Phys. Lett.603B:63, 2004

10.1016/j.physletb.2004.10.015

KCL-MTH-04-09

hep-th

null

The simplest consequences of the common E_{11} symmetry of the eleven dimensional, IIA and IIB theories are derived and are shown to imply the known relations between these three theories.

[ { "created": "Mon, 12 Jul 2004 17:44:03 GMT", "version": "v1" } ]

2011-02-24

[ [ "West", "P.", "" ] ]

The simplest consequences of the common E_{11} symmetry of the eleven dimensional, IIA and IIB theories are derived and are shown to imply the known relations between these three theories.

21.942316

9.880987

25.908583

13.180047

11.68104

11.107692

12.665126

11.649929

13.600233

25.406332

13.214624

12.733271

19.420429

15.525837

13.676128

12.96966

12.597629

13.966935

15.727251

20.907028

13.268307

hep-th/0408062

Yu Shi

Entanglement in Relativistic Quantum Field Theory

5 pages. v1: Submitted for publication in May 2004. v2: minor corrections

Phys.Rev.D70:105001,2004

10.1103/PhysRevD.70.105001

null

hep-th cond-mat.other quant-ph

null

I present some general ideas about quantum entanglement in relativistic quantum field theory, especially entanglement in the physical vacuum. Here, entanglement is defined between different single particle states (or modes), parameterized either by energy-momentum together with internal degrees of freedom, or by spacetime coordinate together with the component index in the case of a vector or spinor field. In this approach, the notion of entanglement between different spacetime points can be established. Some entanglement properties are obtained as constraints from symmetries, e.g., under Lorentz transformation, space inversion, time reverse and charge conjugation.

[ { "created": "Mon, 9 Aug 2004 09:41:09 GMT", "version": "v1" }, { "created": "Thu, 11 Nov 2004 12:25:37 GMT", "version": "v2" } ]

2008-11-26

[ [ "Shi", "Yu", "" ] ]

I present some general ideas about quantum entanglement in relativistic quantum field theory, especially entanglement in the physical vacuum. Here, entanglement is defined between different single particle states (or modes), parameterized either by energy-momentum together with internal degrees of freedom, or by spacetime coordinate together with the component index in the case of a vector or spinor field. In this approach, the notion of entanglement between different spacetime points can be established. Some entanglement properties are obtained as constraints from symmetries, e.g., under Lorentz transformation, space inversion, time reverse and charge conjugation.

9.800111

10.282473

9.002811

9.493853

10.273533

10.369621

10.566393

10.127686

9.694427

10.436833

9.380599

9.512787

9.309553

9.149076

9.369229

9.055048

9.381585

9.551071

9.238751

9.366182

9.501882

hep-th/0210306

DaeKil Park

D. K. Park, S. Tamaryan, H. J. W. M\"uller-Kirsten

Supersphere

11 pages, 2 figures

Phys.Lett. B551 (2003) 187-192

10.1016/S0370-2693(02)03002-2

null

hep-th

null

The spherical D2-brane solution is obtained without RR external background. The solution is shown to preserve $(1/4)$ supersymmetries. The configurations obtained depend on the integration constant $R_0$. For $R_0 \neq 0$ the shape of the solution is a deformed sphere. When, however, $R_0 = 0$, the D2-brane system seems to exhibit a brane-anti-brane configuration.

[ { "created": "Thu, 31 Oct 2002 12:27:13 GMT", "version": "v1" } ]

2016-08-16

[ [ "Park", "D. K.", "" ], [ "Tamaryan", "S.", "" ], [ "Müller-Kirsten", "H. J. W.", "" ] ]

The spherical D2-brane solution is obtained without RR external background. The solution is shown to preserve $(1/4)$ supersymmetries. The configurations obtained depend on the integration constant $R_0$. For $R_0 \neq 0$ the shape of the solution is a deformed sphere. When, however, $R_0 = 0$, the D2-brane system seems to exhibit a brane-anti-brane configuration.

9.207476

8.095675

9.337082

7.612741

8.249625

7.296326

7.73729

7.484822

7.629364

9.192158

7.935627

8.130056

8.433311

8.162461

8.324557

8.203202

8.201352

8.193708

8.240158

8.482887

8.015659

1208.3680

Linda I. Uruchurtu

Domenico Orlando and Linda I. Uruchurtu

Integrable Superstrings on the Squashed Three-sphere

19 pages

null

10.1007/JHEP10(2012)007

CERN-PH-TH/2012-224, Imperial/TP/2012/LIU/01

hep-th

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

In this note we study type II superstring theory on the direct product of AdS3, the squashed three-sphere and a four-torus (AdS3 \times SqS3 \times T4). We derive explicitly the Green-Schwarz action and discuss in detail the hidden integrable structure corresponding to local and non-local currents. We find that the model is classically integrable and that the currents generate a full psu(1, 1|2) superalgebra, even though the corresponding spacetime isometries are broken by the squashing.

[ { "created": "Fri, 17 Aug 2012 20:01:09 GMT", "version": "v1" } ]

2015-06-11

[ [ "Orlando", "Domenico", "" ], [ "Uruchurtu", "Linda I.", "" ] ]

In this note we study type II superstring theory on the direct product of AdS3, the squashed three-sphere and a four-torus (AdS3 \times SqS3 \times T4). We derive explicitly the Green-Schwarz action and discuss in detail the hidden integrable structure corresponding to local and non-local currents. We find that the model is classically integrable and that the currents generate a full psu(1, 1|2) superalgebra, even though the corresponding spacetime isometries are broken by the squashing.

7.059856

6.284039

7.956631

6.283709

6.456209

6.101846

6.395779

6.206532

5.982521

8.068708

6.087884

6.308591

7.378508

6.198604

6.28611

6.276684

6.255757

6.492104

6.291556

7.158213

6.173583

1909.11477

Jeffrey Harvey

Jeffrey A. Harvey

Ramanujan's influence on string theory, black holes and moonshine

13 pages

null

10.1098/rsta.2018.0440

null

hep-th math.NT

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

Ramanujan influenced many areas of mathematics, but his work on q-series, on the growth of coefficients of modular forms, and on mock modular forms stands out for its depth and breadth of applications. I will give a brief overview of how this part of Ramanujan's work has influenced physics with an emphasis on applications to string theory, counting of black hole states and moonshine. This paper contains the material from my presentation at the meeting celebrating the centenary of Ramanujan's election as FRS and adds some additional material on black hole entropy and the AdS/CFT correspondence.

[ { "created": "Wed, 25 Sep 2019 13:23:44 GMT", "version": "v1" } ]

2020-07-01

[ [ "Harvey", "Jeffrey A.", "" ] ]

Ramanujan influenced many areas of mathematics, but his work on q-series, on the growth of coefficients of modular forms, and on mock modular forms stands out for its depth and breadth of applications. I will give a brief overview of how this part of Ramanujan's work has influenced physics with an emphasis on applications to string theory, counting of black hole states and moonshine. This paper contains the material from my presentation at the meeting celebrating the centenary of Ramanujan's election as FRS and adds some additional material on black hole entropy and the AdS/CFT correspondence.

8.183984

8.452286

8.318151

7.468277

8.794516

7.586637

7.768742

8.252115

8.190078

8.938337

7.932689

6.841959

7.510357

7.192569

7.216476

6.954309

6.795869

6.776633

7.153134

7.218304

6.855094

1312.0715

Eduardo C. Marino

J. C. Brozeguini and E. C. Marino

Quantum Computation and Non-Abelian Statistics in Chern-Simons-Higgs Theory

22 pages

null

hep-th quant-ph

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

We naturally obtain the NOT and CNOT logic gates, which are key pieces of quantum computing algorithms, in the framework of the non-Abelian Chern-Simons-Higgs theory in two spatial dimensions. For that, we consider the anyonic quantum vortex topological excitations occurring in this system and show that self-adjoint (Majorana-like) combinations of these vortices and anti-vortices have in general non-Abelian statistics. The associated unitary monodromy braiding matrices become the required logic gates in the special case when the vortex spin is $s=1/4$. We explicitly construct the vortex field operators, show that they carry both magnetic flux and charge and obtain their euclidean correlation functions by using the method of quantization of topological excitations, which is based on the order-disorder duality. These correlators are in general multivalued, the number of sheets being determined by the vortex spin. This, by its turn, is proportional to the vacuum expectation value of the Higgs field and therefore can be tuned both by the free parameters of the Higgs potential and the temperature.

[ { "created": "Tue, 3 Dec 2013 07:00:35 GMT", "version": "v1" } ]

2013-12-04

[ [ "Brozeguini", "J. C.", "" ], [ "Marino", "E. C.", "" ] ]

We naturally obtain the NOT and CNOT logic gates, which are key pieces of quantum computing algorithms, in the framework of the non-Abelian Chern-Simons-Higgs theory in two spatial dimensions. For that, we consider the anyonic quantum vortex topological excitations occurring in this system and show that self-adjoint (Majorana-like) combinations of these vortices and anti-vortices have in general non-Abelian statistics. The associated unitary monodromy braiding matrices become the required logic gates in the special case when the vortex spin is $s=1/4$. We explicitly construct the vortex field operators, show that they carry both magnetic flux and charge and obtain their euclidean correlation functions by using the method of quantization of topological excitations, which is based on the order-disorder duality. These correlators are in general multivalued, the number of sheets being determined by the vortex spin. This, by its turn, is proportional to the vacuum expectation value of the Higgs field and therefore can be tuned both by the free parameters of the Higgs potential and the temperature.

9.845169

9.747615

10.363149

9.527654

9.872652

9.873477

10.181017

10.328453

9.955655

11.617042

9.707902

9.231651

9.124071

8.928508

8.924351

9.06333

8.900153

9.135769

9.086944

9.208183

9.22673

1801.07869

Yoshifumi Hyakutake

Black Hole and Fuzzy Objects in BFSS Matrix Model

23 pages. References added. Explanations on eqs.(42) and (49) are improved by adding eqs.(67), (69), (71) and (73)

Phys. Rev. D 98, 046023 (2018)

10.1103/PhysRevD.98.046023

null

hep-th

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

We analyze fuzzy configurations of D0-branes in BFSS matrix model as microstates of black hole. Fuzzy configurations of D0-branes consist of localized fuzzy objects in 3 spatial directions which are smeared into 6 internal directions. Since the solutions are time dependent, these are non-BPS configurations and have internal energy compared with static case. Especially we examine the smeared fuzzy sphere in the BFSS matrix model, which will correspond to the microstate of the charged black hole in 4 dimensions, and compare the effective potential in that background with the result obtained by the near horizon geometry of the black 0-brane. The qualitative features of two descriptions agree with each other, thus we expect the smeared fuzzy sphere corresponds to one of the microstates of the charged black hole. We also examine the smeared fuzzy cylinder which will correspond to the flat space time.

[ { "created": "Wed, 24 Jan 2018 06:18:06 GMT", "version": "v1" }, { "created": "Thu, 22 Mar 2018 15:17:38 GMT", "version": "v2" } ]

2018-09-12

[ [ "Hyakutake", "Yoshifumi", "" ] ]

We analyze fuzzy configurations of D0-branes in BFSS matrix model as microstates of black hole. Fuzzy configurations of D0-branes consist of localized fuzzy objects in 3 spatial directions which are smeared into 6 internal directions. Since the solutions are time dependent, these are non-BPS configurations and have internal energy compared with static case. Especially we examine the smeared fuzzy sphere in the BFSS matrix model, which will correspond to the microstate of the charged black hole in 4 dimensions, and compare the effective potential in that background with the result obtained by the near horizon geometry of the black 0-brane. The qualitative features of two descriptions agree with each other, thus we expect the smeared fuzzy sphere corresponds to one of the microstates of the charged black hole. We also examine the smeared fuzzy cylinder which will correspond to the flat space time.

9.874195

9.035092

10.502738

8.562901

9.198879

9.695148

8.913751

8.256985

8.805751

11.861426

8.673211

8.966779

9.697719

8.969385

9.24952

9.296623

9.249459

9.03376

8.935354

10.066011

8.889205

hep-th/9810024

Ichiro Oda

$SL(2,Z)$ Self-duality of Super D3-brane Action on $AdS_5 \times S^5$

12 pages, LaTex2e

JHEP 9810 (1998) 015

10.1088/1126-6708/1998/10/015

EDO-EP-23

hep-th

null

It is shown that a supersymmetric and $\kappa$-symmetric D3-brane action on $AdS_5 \times S^5$ is mapped into itself by a duality transformaion, thereby verifying the $SL(2,Z)$ invariance of the D3-brane action in the $AdS_5 \times S^5$ background as in the flat background. To this end, we fix the $\kappa$-symmetry in a gauge which simplifies the classical action in order to perform an SO(2) rotation of the N=2 spinor index in a manifest way, though this may not be necessary. This situation is the same as the case of a super D-string on $AdS_5 \times S^5$ where it was shown that the super D-string action is transformed to a form of the IIB Green-Schwarz superstring action with the $SL(2,Z)$ covariant tension in the $AdS_5 \times S^5$ background through a duality transformation. These results strongly suggest that various duality relations originally found in the flat background may be independent of background geometry, in other words, the duality transformations in string and p-brane theories may exist even in general curved space-time.

[ { "created": "Sun, 4 Oct 1998 10:29:05 GMT", "version": "v1" } ]

2009-10-31

[ [ "Oda", "Ichiro", "" ] ]

It is shown that a supersymmetric and $\kappa$-symmetric D3-brane action on $AdS_5 \times S^5$ is mapped into itself by a duality transformaion, thereby verifying the $SL(2,Z)$ invariance of the D3-brane action in the $AdS_5 \times S^5$ background as in the flat background. To this end, we fix the $\kappa$-symmetry in a gauge which simplifies the classical action in order to perform an SO(2) rotation of the N=2 spinor index in a manifest way, though this may not be necessary. This situation is the same as the case of a super D-string on $AdS_5 \times S^5$ where it was shown that the super D-string action is transformed to a form of the IIB Green-Schwarz superstring action with the $SL(2,Z)$ covariant tension in the $AdS_5 \times S^5$ background through a duality transformation. These results strongly suggest that various duality relations originally found in the flat background may be independent of background geometry, in other words, the duality transformations in string and p-brane theories may exist even in general curved space-time.

6.079691

5.611205

6.621141

5.434803

5.352363

5.110793

5.428173

5.386606

5.430496

6.456355

5.49507

5.595004

6.13993

5.645156

5.637299

5.651244

5.518237

5.517017

5.620776

6.177522

5.617916

1704.02040

Luis E. Oxman

David R. Junior and Luis E. Oxman

Geometry of the Shannon mutual information in continuum QFT

25 pages

Phys. Rev. D 95, 125005 (2017)

10.1103/PhysRevD.95.125005

null

hep-th quant-ph

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

We analyze geometric terms and scaling properties of the Shannon mutual information in the continuum. This is done for a free massless scalar field theory in $d$-dimensions, in a coherent state reduced with respect to a general differentiable manifold. As a by-product, we find an expression for the reduced probability density of finding a certain field on a ball. We will also introduce and compute the Fisher information that this probability carries about the location of the observation region. This is an interesting information measure that refers to points in physical space, although in relativistic QFT they are labels and not fluctuating quantum observables.

[ { "created": "Thu, 6 Apr 2017 23:00:28 GMT", "version": "v1" } ]

2017-06-28

[ [ "Junior", "David R.", "" ], [ "Oxman", "Luis E.", "" ] ]

We analyze geometric terms and scaling properties of the Shannon mutual information in the continuum. This is done for a free massless scalar field theory in $d$-dimensions, in a coherent state reduced with respect to a general differentiable manifold. As a by-product, we find an expression for the reduced probability density of finding a certain field on a ball. We will also introduce and compute the Fisher information that this probability carries about the location of the observation region. This is an interesting information measure that refers to points in physical space, although in relativistic QFT they are labels and not fluctuating quantum observables.

20.783665

21.976479

22.284849

20.032782

22.856243

21.920126

21.227678

19.953711

20.368105

23.054161

20.20727

19.081095

20.306267

19.765976

19.280268

19.153049

18.90851

19.155575

20.003935

20.316145

18.71002

hep-th/0104224

Jgamboa

J. Gamboa, M. Loewe, F. Mendez and J. C. Rojas

The Landau problem and noncommutative quantum mechanics

This a rewritten and corrected version of our previous preprint hep-th/0105173

Mod.Phys.Lett.A16:2075-2078,2001

10.1142/S0217732301005345

null

hep-th

null

The conditions under which noncommutative quantum mechanics and the Landau problem are equivalent theories is explored. If the potential in noncommutative quantum mechanics is chosen as $V= \Omega \aleph$ with $\aleph$ defined in the text, then for the value ${\tilde \theta} = 0.22 \times 10^{-11} cm^2$ (that measures the noncommutative effects of the space), the Landau problem and noncommutative quantum mechanics are equivalent theories in the lowest Landau level. For other systems one can find differents values for ${\tilde \theta}$ and, therefore, the possible bounds for ${\tilde \theta}$ should be searched in a physical independent scenario. This last fact could explain the differents bounds for $\tilde \theta$ found in the literature.

[ { "created": "Wed, 25 Apr 2001 19:32:40 GMT", "version": "v1" }, { "created": "Mon, 30 Apr 2001 19:42:09 GMT", "version": "v2" }, { "created": "Mon, 7 May 2001 19:32:36 GMT", "version": "v3" }, { "created": "Fri, 18 May 2001 14:13:14 GMT", "version": "v4" } ]

2008-11-26

[ [ "Gamboa", "J.", "" ], [ "Loewe", "M.", "" ], [ "Mendez", "F.", "" ], [ "Rojas", "J. C.", "" ] ]

The conditions under which noncommutative quantum mechanics and the Landau problem are equivalent theories is explored. If the potential in noncommutative quantum mechanics is chosen as $V= \Omega \aleph$ with $\aleph$ defined in the text, then for the value ${\tilde \theta} = 0.22 \times 10^{-11} cm^2$ (that measures the noncommutative effects of the space), the Landau problem and noncommutative quantum mechanics are equivalent theories in the lowest Landau level. For other systems one can find differents values for ${\tilde \theta}$ and, therefore, the possible bounds for ${\tilde \theta}$ should be searched in a physical independent scenario. This last fact could explain the differents bounds for $\tilde \theta$ found in the literature.

8.011375

7.902568

7.858698

7.494958

7.01751

7.791324

7.764364

7.402722

7.141782

8.469052

7.145543

7.545987

7.629742

7.359455

7.447866

7.521059

7.511971

7.406965

7.283523

7.736757

7.460385

hep-th/0605211

Evgeny Ivanov

F. Delduc, E. Ivanov

Gauging N=4 Supersymmetric Mechanics

32 pages, minor amendments in Sect. 2, version to appear in Nucl. Phys. B

Nucl.Phys. B753 (2006) 211-241

10.1016/j.nuclphysb.2006.06.031

null

hep-th

null

We argue that off-shell dualities between d=1 supermultiplets with different sets of physical bosonic components and the same number of fermionic ones are related to gauging some symmetries in the actions of the supermultiplets with maximal sets of physical bosons. Our gauging procedure uses off-shell superfields and so is manifestly supersymmetric. We focus on N=4 supersymmetric mechanics and show that various actions of the multiplet (3,4,1) amount to some gauge choices in the gauged superfield actions of the linear or nonlinear (4,4,0) multiplets. In particular, the conformally invariant (3,4,1) superpotential is generated by the Fayet-Iliopoulos term of the gauge superfield. We find a new nonlinear variant of the multiplet (4,4,0), such that its simplest superfield action produces the most general 4-dim hyper-K\"ahler metric with one triholomorphic isometry as the bosonic target metric. We also elaborate on some other instructive examples of N=4 superfield gaugings, including a non-abelian gauging which relates the free linear (4,4,0) multiplet to a self-interacting (1,4,3) multiplet.

[ { "created": "Sun, 21 May 2006 14:22:10 GMT", "version": "v1" }, { "created": "Mon, 5 Jun 2006 22:20:36 GMT", "version": "v2" }, { "created": "Mon, 31 Jul 2006 18:24:27 GMT", "version": "v3" } ]

2010-04-05

[ [ "Delduc", "F.", "" ], [ "Ivanov", "E.", "" ] ]

We argue that off-shell dualities between d=1 supermultiplets with different sets of physical bosonic components and the same number of fermionic ones are related to gauging some symmetries in the actions of the supermultiplets with maximal sets of physical bosons. Our gauging procedure uses off-shell superfields and so is manifestly supersymmetric. We focus on N=4 supersymmetric mechanics and show that various actions of the multiplet (3,4,1) amount to some gauge choices in the gauged superfield actions of the linear or nonlinear (4,4,0) multiplets. In particular, the conformally invariant (3,4,1) superpotential is generated by the Fayet-Iliopoulos term of the gauge superfield. We find a new nonlinear variant of the multiplet (4,4,0), such that its simplest superfield action produces the most general 4-dim hyper-K\"ahler metric with one triholomorphic isometry as the bosonic target metric. We also elaborate on some other instructive examples of N=4 superfield gaugings, including a non-abelian gauging which relates the free linear (4,4,0) multiplet to a self-interacting (1,4,3) multiplet.

7.020819

6.78815

8.196987

6.286689

6.928669

6.527573

6.729784

6.613609

6.856094

9.086555

6.574323

6.679168

7.69582

6.782053

6.47528

6.667574

6.685573

6.533971

6.67667

7.877697

6.631769

1305.1606

Adolfo Huet

Naser Ahmadiniaz, Adolfo Huet, Alfredo Raya and Christian Schubert

Full mass range analysis of the QED effective action for an O(2)xO(3) symmetric field

28 pages, 7 figures

null

10.1103/PhysRevD.87.125020

null

hep-th

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

An interesting class of background field configurations in quantum electrodynamics (QED) are the O(2)xO(3) symmetric fields, originally introduced by S.L. Adler in 1972. Those backgrounds have some instanton-like properties and yield a one-loop effective action that is highly nontrivial, but amenable to numerical calculation. Here, we use the recently developed "partial-wave-cutoff method" for a full mass range numerical analysis of the effective action for the "standard" O(2)xO(3) symmetric field, modified by a radial suppression factor. At large mass, we are able to match the asymptotics of the physically renormalized effective action against the leading two mass levels of the inverse mass expansion. For small masses, with a suitable choice of the renormalization scheme we obtain stable numerical results even in the massless limit. We analyze the N - point functions in this background and show that, even in the absence of the radial suppression factor, the two-point contribution to the effective action is the only obstacle to taking its massless limit. The standard O(2)xO(3) background leads to a chiral anomaly term in the effective action, and both our perturbative and nonperturbative results strongly suggest that the small-mass asymptotic behavior of the effective action is, after the subtraction of the two-point contribution, dominated by this anomaly term as the only source of a logarithmic mass dependence. This confirms a conjecture by M. Fry.

[ { "created": "Tue, 7 May 2013 18:37:14 GMT", "version": "v1" } ]

2015-06-15

[ [ "Ahmadiniaz", "Naser", "" ], [ "Huet", "Adolfo", "" ], [ "Raya", "Alfredo", "" ], [ "Schubert", "Christian", "" ] ]

An interesting class of background field configurations in quantum electrodynamics (QED) are the O(2)xO(3) symmetric fields, originally introduced by S.L. Adler in 1972. Those backgrounds have some instanton-like properties and yield a one-loop effective action that is highly nontrivial, but amenable to numerical calculation. Here, we use the recently developed "partial-wave-cutoff method" for a full mass range numerical analysis of the effective action for the "standard" O(2)xO(3) symmetric field, modified by a radial suppression factor. At large mass, we are able to match the asymptotics of the physically renormalized effective action against the leading two mass levels of the inverse mass expansion. For small masses, with a suitable choice of the renormalization scheme we obtain stable numerical results even in the massless limit. We analyze the N - point functions in this background and show that, even in the absence of the radial suppression factor, the two-point contribution to the effective action is the only obstacle to taking its massless limit. The standard O(2)xO(3) background leads to a chiral anomaly term in the effective action, and both our perturbative and nonperturbative results strongly suggest that the small-mass asymptotic behavior of the effective action is, after the subtraction of the two-point contribution, dominated by this anomaly term as the only source of a logarithmic mass dependence. This confirms a conjecture by M. Fry.

10.092024

10.257218

10.449813

9.962397

9.63767

9.478559

9.999046

10.117049

9.736176

11.190015

9.803377

9.555189

9.753882

9.57951

9.688248

9.579521

9.437602

9.850402

9.421633

9.685655

9.540981

hep-th/0010219

Louise A. Dolan

L. Dolan

Vertex Operators for AdS3 with Ramond Background

10 pages, Latex

J.Math.Phys.42:2978-2986,2001

10.1063/1.1373423

null

hep-th

null

This review gives results on vertex operators for the Type IIB superstring in an AdS3 x S3 background with Ramond-Ramond flux, which were presented at Strings 2000. Constraint equations for these vertex operators are derived, and their components are shown to satisfy the supergravity linearized equations of motion for the six-dimensional (2,0) theory of a supergravity and tensor multiplet expanded around AdS3 x S3 spacetime.

[ { "created": "Tue, 24 Oct 2000 20:44:33 GMT", "version": "v1" }, { "created": "Thu, 26 Oct 2000 18:22:29 GMT", "version": "v2" } ]

2010-11-15

[ [ "Dolan", "L.", "" ] ]

This review gives results on vertex operators for the Type IIB superstring in an AdS3 x S3 background with Ramond-Ramond flux, which were presented at Strings 2000. Constraint equations for these vertex operators are derived, and their components are shown to satisfy the supergravity linearized equations of motion for the six-dimensional (2,0) theory of a supergravity and tensor multiplet expanded around AdS3 x S3 spacetime.

9.772441

7.737409

10.684134

7.748352

7.386008

7.704423

8.893057

7.631444

6.861832

11.996768

8.184284

7.994229

9.046908

8.183721

7.813844

8.12228

7.996877

8.491095

8.424331

8.304509

8.062709

1311.1200

S. Josephine Suh

Hong Liu, S. Josephine Suh

Entanglement growth during thermalization in holographic systems

36+11 pages, 21 figures

Phys. Rev. D 89, 066012 (2014)

10.1103/PhysRevD.89.066012

MIT-CTP 4510

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

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

We derive in detail several universal features in the time evolution of entanglement entropy and other nonlocal observables in quenched holographic systems. The quenches are such that a spatially uniform density of energy is injected at an instant in time, exciting a strongly coupled CFT which eventually equilibrates. Such quench processes are described on the gravity side by the gravitational collapse of a thin shell that results in a black hole. Various nonlocal observables have a unified description in terms of the area of extremal surfaces of different dimensions. In the large distance limit, the evolution of an extremal surface, and thus the corresponding boundary observable, is controlled by the geometry around and inside the event horizon of the black hole, allowing us to identify regimes of pre-local- equilibration quadratic growth, post-local-equilibration linear growth, a memory loss regime, and a saturation regime with behavior resembling those in phase transitions. We also discuss possible bounds on the maximal rate of entanglement growth in relativistic systems.

[ { "created": "Tue, 5 Nov 2013 21:00:01 GMT", "version": "v1" } ]

2014-03-26

[ [ "Liu", "Hong", "" ], [ "Suh", "S. Josephine", "" ] ]

We derive in detail several universal features in the time evolution of entanglement entropy and other nonlocal observables in quenched holographic systems. The quenches are such that a spatially uniform density of energy is injected at an instant in time, exciting a strongly coupled CFT which eventually equilibrates. Such quench processes are described on the gravity side by the gravitational collapse of a thin shell that results in a black hole. Various nonlocal observables have a unified description in terms of the area of extremal surfaces of different dimensions. In the large distance limit, the evolution of an extremal surface, and thus the corresponding boundary observable, is controlled by the geometry around and inside the event horizon of the black hole, allowing us to identify regimes of pre-local- equilibration quadratic growth, post-local-equilibration linear growth, a memory loss regime, and a saturation regime with behavior resembling those in phase transitions. We also discuss possible bounds on the maximal rate of entanglement growth in relativistic systems.

9.714371

9.147952

10.982147

9.591824

9.964971

9.846883

9.743664

9.152113

8.740554

11.846438

8.813615

9.495502

10.195237

9.611466

9.830385

9.766241

9.354089

9.798469

9.697062

10.41442

9.4725

hep-th/9809186

Vladimir Tkach

V.I. Tkach, J.J. Rosales and J. Torres

On the relation of the gravitino mass and the GUT parameters

12 pages, file written in Revtex format

Mod.Phys.Lett. A14 (1999) 169-176

10.1142/S0217732399000201

IFUG-98-24

hep-th

null

In this article we consider the local supersymmetry breaking and the broken SU(5) symmetry permisible by dilaton vacuum configuration in supergravity theories. We establish the parameter relation of spontaneuos breaking of supersymmetry and of the GUT theory.

[ { "created": "Fri, 25 Sep 1998 16:21:53 GMT", "version": "v1" } ]

2009-10-31

[ [ "Tkach", "V. I.", "" ], [ "Rosales", "J. J.", "" ], [ "Torres", "J.", "" ] ]

In this article we consider the local supersymmetry breaking and the broken SU(5) symmetry permisible by dilaton vacuum configuration in supergravity theories. We establish the parameter relation of spontaneuos breaking of supersymmetry and of the GUT theory.

32.874035

31.211128

29.079668

28.567532

29.541304

29.21669

28.972099

28.355539

26.375257

39.502594

25.835501

26.974291

26.443233

26.318039

27.381199

26.761803

28.811079

26.883944

27.024094

28.353531

26.440039

1706.01184

Parthapratim Pradhan

Area (or Entropy) Products in Modified Gravity and Kerr-MOG/CFT Correspondence

version accepted in EPJ Plus

The European Physical Journal Plus, May 2018

10.1140/epjp/i2018-12019-9

null

hep-th gr-qc

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

We examine the thermodynamic features of \emph{inner} and outer horizons of modified gravity~(MOG) and its consequences on the holographic duality. We derive the thermodynamic product relations for this gravity. We consider both spherically symmetric solutions and axisymmetric solutions of MOG. We find that the area product formula for both cases is \emph{not} mass-independent because they depends on the ADM mass parameter while in \emph{Einstein gravity} this formula is mass-independent~(universal). We also explicitly verify the \emph{first law} which is fulfilled at the inner horizon~(IH) as well as at the outer horizon~(OH). We derive thermodynamic products and sums for this kind of gravity. We further derive the \emph{Smarr like mass formula} for this kind of black hole~(BH) in MOG. Moreover, we derive the area bound for both the horizons. Furthermore, we show that the central charges of the left and right moving sectors are the same via universal thermodynamic relations. We also discuss the most important result of the \emph{Kerr-MOG/CFT correspondence}. We derive the central charges for Kerr-MOG BH which is $c_{L}=12J$ and it is similar to Kerr BH. We also derive the dimensionless temperature of a extreme Kerr-MOG BH which is $T_{L} = \frac{1}{4\pi} \frac{\alpha+2}{\sqrt{1+\alpha}}$, where $\alpha$ is a MOG parameter. This is actually dual CFT temperature of the Frolov-Thorne thermal vacuum state. In the limit $\alpha=0$, we find the dimensionless temperature of Kerr BH. Consequently, Cardy formula gives us microscopic entropy for extreme Kerr-MOG BH, $S_{micro} = \frac{\alpha+2}{\sqrt{1+\alpha}} \pi J $ for the CFT which is completely in agreement with macroscopic Bekenstein-Hawking entropy.

[ { "created": "Mon, 5 Jun 2017 03:55:04 GMT", "version": "v1" }, { "created": "Fri, 25 May 2018 14:04:28 GMT", "version": "v2" } ]

2018-05-28

[ [ "Pradhan", "Parthapratim", "" ] ]

We examine the thermodynamic features of \emph{inner} and outer horizons of modified gravity~(MOG) and its consequences on the holographic duality. We derive the thermodynamic product relations for this gravity. We consider both spherically symmetric solutions and axisymmetric solutions of MOG. We find that the area product formula for both cases is \emph{not} mass-independent because they depends on the ADM mass parameter while in \emph{Einstein gravity} this formula is mass-independent~(universal). We also explicitly verify the \emph{first law} which is fulfilled at the inner horizon~(IH) as well as at the outer horizon~(OH). We derive thermodynamic products and sums for this kind of gravity. We further derive the \emph{Smarr like mass formula} for this kind of black hole~(BH) in MOG. Moreover, we derive the area bound for both the horizons. Furthermore, we show that the central charges of the left and right moving sectors are the same via universal thermodynamic relations. We also discuss the most important result of the \emph{Kerr-MOG/CFT correspondence}. We derive the central charges for Kerr-MOG BH which is $c_{L}=12J$ and it is similar to Kerr BH. We also derive the dimensionless temperature of a extreme Kerr-MOG BH which is $T_{L} = \frac{1}{4\pi} \frac{\alpha+2}{\sqrt{1+\alpha}}$, where $\alpha$ is a MOG parameter. This is actually dual CFT temperature of the Frolov-Thorne thermal vacuum state. In the limit $\alpha=0$, we find the dimensionless temperature of Kerr BH. Consequently, Cardy formula gives us microscopic entropy for extreme Kerr-MOG BH, $S_{micro} = \frac{\alpha+2}{\sqrt{1+\alpha}} \pi J $ for the CFT which is completely in agreement with macroscopic Bekenstein-Hawking entropy.

7.309093

7.642832

7.067894

6.756474

7.345046

7.005334

7.737047

6.727518

7.163425

7.594919

7.289943

7.302619

7.226757

7.005926

7.264218

7.308755

7.251517

7.144048

7.179501

7.393821

7.25889

2312.11371

Roger Morales

Hjalte Frellesvig, Roger Morales, Matthias Wilhelm

Calabi-Yau meets Gravity: A Calabi-Yau three-fold at fifth post-Minkowskian order

9 pages, 3 figures; v2: discussion improved, references updated

Phys.Rev.Lett. 132 (2024) 20, 201602

10.1103/PhysRevLett.132.201602

null

hep-th gr-qc

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

We study geometries occurring in Feynman integrals that contribute to the scattering of black holes in the post-Minkowskian expansion. These geometries become relevant to gravitational-wave production during the inspiralling phase of binary black hole mergers through the classical conservative potential. At fourth post-Minkowskian order, a K3 surface is known to occur in a three-loop integral, leading to elliptic integrals in the result. In this letter, we identify a Calabi-Yau three-fold in a four-loop integral, contributing at fifth post-Minkowskian order. The presence of this Calabi-Yau geometry indicates that completely new functions occur in the full analytical results at this order.

[ { "created": "Mon, 18 Dec 2023 17:36:28 GMT", "version": "v1" }, { "created": "Thu, 16 May 2024 10:35:46 GMT", "version": "v2" } ]

2024-05-20

[ [ "Frellesvig", "Hjalte", "" ], [ "Morales", "Roger", "" ], [ "Wilhelm", "Matthias", "" ] ]

We study geometries occurring in Feynman integrals that contribute to the scattering of black holes in the post-Minkowskian expansion. These geometries become relevant to gravitational-wave production during the inspiralling phase of binary black hole mergers through the classical conservative potential. At fourth post-Minkowskian order, a K3 surface is known to occur in a three-loop integral, leading to elliptic integrals in the result. In this letter, we identify a Calabi-Yau three-fold in a four-loop integral, contributing at fifth post-Minkowskian order. The presence of this Calabi-Yau geometry indicates that completely new functions occur in the full analytical results at this order.

8.386004

7.909644

8.508671

7.96906

8.150927

8.401178

8.422726

8.178043

7.441091

8.786797

7.707857

8.22915

8.514957

7.957682

8.067125

7.99153

8.309265

7.841599

7.845339

8.516253

7.78981

hep-th/9505056

null

Roberto Zucchini

Extrinsic Hermitian Geometry of Functional Determinants for Vector Subbundles and the Drinfeld--Sokolov Ghost System

28 pages, Plain TeX, no figures, requires AMS font files AMSSYM.DEF and AMSSYM.TEX

Commun.Math.Phys. 178 (1996) 201-224

10.1007/BF02104915

DFUB 95--3

hep-th

null

In this paper, a novel method is presented for the study of the dependence of the functional determinant of the Laplace operator associated to a subbundle $F$ of a hermitian holomorphic vector bundle $E$ over a Riemann surface $\Sigma$ on the hermitian structure $(h,H)$ of $E$. The generalized Weyl anomaly of the effective action is computed and found to be expressible in terms of a suitable generalization of the Liouville and Donaldson actions. The general techniques worked out are then applied to the study of a specific model, the Drinfeld--Sokolov (DS) ghost system arising in $W$--gravity. The expression of generalized Weyl anomaly of the DS ghost effective action is found. It is shown that, by a specific choice of the fiber metric $H_h$ depending on the base metric $h$, the effective action reduces into that of a conformal field theory. Its central charge is computed and found to agree with that obtained by the methods of hamiltonian reduction and conformal field theory. The DS holomorphic gauge group and the DS moduli space are defined and their dimensions are computed.

[ { "created": "Wed, 10 May 1995 12:55:47 GMT", "version": "v1" } ]

2009-10-28

[ [ "Zucchini", "Roberto", "" ] ]

In this paper, a novel method is presented for the study of the dependence of the functional determinant of the Laplace operator associated to a subbundle $F$ of a hermitian holomorphic vector bundle $E$ over a Riemann surface $\Sigma$ on the hermitian structure $(h,H)$ of $E$. The generalized Weyl anomaly of the effective action is computed and found to be expressible in terms of a suitable generalization of the Liouville and Donaldson actions. The general techniques worked out are then applied to the study of a specific model, the Drinfeld--Sokolov (DS) ghost system arising in $W$--gravity. The expression of generalized Weyl anomaly of the DS ghost effective action is found. It is shown that, by a specific choice of the fiber metric $H_h$ depending on the base metric $h$, the effective action reduces into that of a conformal field theory. Its central charge is computed and found to agree with that obtained by the methods of hamiltonian reduction and conformal field theory. The DS holomorphic gauge group and the DS moduli space are defined and their dimensions are computed.

7.168694

6.470073

7.393343

6.361654

7.039673

6.434298

6.354602

6.483838

6.525689

8.268075

6.299129

6.295664

6.854056

6.468159

6.37701

6.449647

6.506575

6.290851

6.57151

6.887153

6.458732

hep-th/0612247

Gregory Korchemsky

B.Basso, G.P.Korchemsky

Anomalous dimensions of high-spin operators beyond the leading order

29 pages; v2: minor changes, references added; v3: eqs.(3.25) and (3.26) corrected

Nucl.Phys.B775:1-30,2007

10.1016/j.nuclphysb.2007.03.044

LPT-Orsay-06-99

hep-th hep-ph

null

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading corrections suppressed by powers of the Lorentz spin. We argue that this structure is a manifestation of the `self-tuning' property of the multi-loop anomalous dimensions - in a conformal gauge theory, the anomalous dimension of Wilson operators is a function of their conformal spin which is modified in higher loops by an amount proportional to the anomalous dimension. Making use of the parity property of this function and incorporating the beta-function contribution, we demonstrate the existence of (infinite number of) relations between subleading corrections to the twist-two anomalous dimensions in QCD and its supersymmetric extensions. They imply that the subleading corrections to the anomalous dimensions suppressed by odd powers of the conformal spin can be expressed in terms of the lower-loops corrections suppressed by smaller even powers of the spin. We show that these relations hold true in QCD to all loops in the large beta0 limit. In the N=4 SYM theory, we employ the AdS/CFT correspondence to argue that the same relations survive in the strong coupling regime for higher-twist scalar operators dual to a folded string rotating on the AdS3xS1.

[ { "created": "Fri, 22 Dec 2006 14:35:03 GMT", "version": "v1" }, { "created": "Tue, 9 Jan 2007 08:34:54 GMT", "version": "v2" }, { "created": "Tue, 24 Apr 2007 07:04:28 GMT", "version": "v3" } ]

2008-11-26

[ [ "Basso", "B.", "" ], [ "Korchemsky", "G. P.", "" ] ]

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading corrections suppressed by powers of the Lorentz spin. We argue that this structure is a manifestation of the `self-tuning' property of the multi-loop anomalous dimensions - in a conformal gauge theory, the anomalous dimension of Wilson operators is a function of their conformal spin which is modified in higher loops by an amount proportional to the anomalous dimension. Making use of the parity property of this function and incorporating the beta-function contribution, we demonstrate the existence of (infinite number of) relations between subleading corrections to the twist-two anomalous dimensions in QCD and its supersymmetric extensions. They imply that the subleading corrections to the anomalous dimensions suppressed by odd powers of the conformal spin can be expressed in terms of the lower-loops corrections suppressed by smaller even powers of the spin. We show that these relations hold true in QCD to all loops in the large beta0 limit. In the N=4 SYM theory, we employ the AdS/CFT correspondence to argue that the same relations survive in the strong coupling regime for higher-twist scalar operators dual to a folded string rotating on the AdS3xS1.

7.70347

7.766155

8.11543

7.187254

8.044891

7.844911

7.756858

7.631133

7.459727

8.093616

7.75308

7.142203

7.636653

7.376285

7.383553

7.51174

7.412656

7.402408

7.373528

7.800898

7.242159

1605.09369

Eric Mefford

Entanglement Entropy in Jammed CFTs

42 pages, 11 figures, version to appear in JHEP

null

10.1007/JHEP09(2017)006

null

hep-th

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

We construct solutions to the Einstein equations for asymptotically locally Anti-de Sitter spacetimes with four, five, and six dimensional Reissner-Nordstr\"om boundary metrics. These spacetimes are gravitational duals to "jammed" CFTs on those backgrounds at infinite N and strong coupling. For these spacetimes, we calculate the boundary stress tensor as well as compute entanglement entropies for ball shaped regions as functions of the boundary black hole temperature $T_{BH}$. From this, we see how the CFT prevents heat flow from the black hole to the vacuum at spatial infinity. We also compute entanglement entropies for a three dimensional boundary black hole using the AdS C-metric. We compare our results to previous work done in similar spacetimes.

[ { "created": "Mon, 30 May 2016 19:56:25 GMT", "version": "v1" }, { "created": "Tue, 29 Aug 2017 18:15:53 GMT", "version": "v2" } ]

2017-11-10

[ [ "Mefford", "Eric", "" ] ]

We construct solutions to the Einstein equations for asymptotically locally Anti-de Sitter spacetimes with four, five, and six dimensional Reissner-Nordstr\"om boundary metrics. These spacetimes are gravitational duals to "jammed" CFTs on those backgrounds at infinite N and strong coupling. For these spacetimes, we calculate the boundary stress tensor as well as compute entanglement entropies for ball shaped regions as functions of the boundary black hole temperature $T_{BH}$. From this, we see how the CFT prevents heat flow from the black hole to the vacuum at spatial infinity. We also compute entanglement entropies for a three dimensional boundary black hole using the AdS C-metric. We compare our results to previous work done in similar spacetimes.

8.656266

8.240292

8.912524

8.328042

8.281252

7.873829

7.882767

8.438977

8.049191

10.963785

7.929759

8.155874

9.163587

8.315468

8.238877

8.081789

8.151502

8.164271

8.228979

9.070742

8.071435

1705.09108

Thomas Pappas

Panagiota Kanti and Thomas Pappas

Effective Temperatures and Radiation Spectra for a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole

31 pages, PDFLatex, 8 figures, 8 Tables, typos corrected, version to appear in Physical Review D

Phys. Rev. D 96, 024038 (2017)

10.1103/PhysRevD.96.024038

null

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

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

The absence of a true thermodynamical equilibrium for an observer located in the causal area of a Schwarzschild-de Sitter spacetime has repeatedly raised the question of the correct definition of its temperature. In this work, we consider five different temperatures for a higher-dimensional Schwarzschild-de Sitter black hole: the bare $T_0$, the normalised $T_{BH}$ and three effective ones given in terms of both the black hole and cosmological horizon temperatures. We find that these five temperatures exhibit similarities but also significant differences in their behaviour as the number of extra dimensions and the value of the cosmological constant are varied. We then investigate their effect on the energy emission spectra of Hawking radiation. We demonstrate that the radiation spectra for the normalised temperature $T_{BH}$ -- proposed by Bousso and Hawking over twenty years ago -- leads to the dominant emission curve while the other temperatures either support a significant emission rate only at a specific $\Lambda$ regime or they have their emission rates globally suppressed. Finally, we compute the bulk-over-brane emissivity ratio and show that the use of different temperatures may lead to different conclusions regarding the brane or bulk dominance.

[ { "created": "Thu, 25 May 2017 09:48:48 GMT", "version": "v1" }, { "created": "Fri, 21 Jul 2017 07:39:05 GMT", "version": "v2" } ]

2017-08-02

[ [ "Kanti", "Panagiota", "" ], [ "Pappas", "Thomas", "" ] ]

The absence of a true thermodynamical equilibrium for an observer located in the causal area of a Schwarzschild-de Sitter spacetime has repeatedly raised the question of the correct definition of its temperature. In this work, we consider five different temperatures for a higher-dimensional Schwarzschild-de Sitter black hole: the bare $T_0$, the normalised $T_{BH}$ and three effective ones given in terms of both the black hole and cosmological horizon temperatures. We find that these five temperatures exhibit similarities but also significant differences in their behaviour as the number of extra dimensions and the value of the cosmological constant are varied. We then investigate their effect on the energy emission spectra of Hawking radiation. We demonstrate that the radiation spectra for the normalised temperature $T_{BH}$ -- proposed by Bousso and Hawking over twenty years ago -- leads to the dominant emission curve while the other temperatures either support a significant emission rate only at a specific $\Lambda$ regime or they have their emission rates globally suppressed. Finally, we compute the bulk-over-brane emissivity ratio and show that the use of different temperatures may lead to different conclusions regarding the brane or bulk dominance.

9.425729

9.273589

9.13325

8.429816

9.378801

9.194363

9.660594

9.264464

9.161651

10.708813

9.31987

8.742743

9.096015

8.98615

8.922316

8.63827

8.99908

8.728865

8.825376

9.129024

8.840466

1811.06986

Upamanyu Moitra

Upamanyu Moitra, Ronak M Soni, Sandip P. Trivedi

Entanglement Entropy, Relative Entropy and Duality

21 pages, 2 figures; v2: includes additional comments, matches the published version in JHEP

JHEP 1908 (2019) 059

10.1007/JHEP08(2019)059

TIFR/TH/18-23

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

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

A definition for the entanglement entropy in both Abelian and non-Abelian gauge theories has been given in the literature, based on an extended Hilbert space construction. The result can be expressed as a sum of two terms, a classical term and a quantum term. It has been argued that only the quantum term is extractable through the processes of quantum distillation and dilution. Here we consider gauge theories in the continuum limit and argue that quite generically, the classical piece is dominated by modes with very high momentum, of order the cut-off, in the direction normal to the entangling surface. As a result, we find that the classical term does not contribute to the relative entropy or the mutual information, in the continuum limit, for states which only carry a finite amount of energy above the ground state. We extend these considerations for $p$-form theories, and also discuss some aspects pertaining to electric-magnetic duality.

[ { "created": "Fri, 16 Nov 2018 19:00:03 GMT", "version": "v1" }, { "created": "Wed, 14 Aug 2019 16:25:58 GMT", "version": "v2" } ]

2019-08-15

[ [ "Moitra", "Upamanyu", "" ], [ "Soni", "Ronak M", "" ], [ "Trivedi", "Sandip P.", "" ] ]

A definition for the entanglement entropy in both Abelian and non-Abelian gauge theories has been given in the literature, based on an extended Hilbert space construction. The result can be expressed as a sum of two terms, a classical term and a quantum term. It has been argued that only the quantum term is extractable through the processes of quantum distillation and dilution. Here we consider gauge theories in the continuum limit and argue that quite generically, the classical piece is dominated by modes with very high momentum, of order the cut-off, in the direction normal to the entangling surface. As a result, we find that the classical term does not contribute to the relative entropy or the mutual information, in the continuum limit, for states which only carry a finite amount of energy above the ground state. We extend these considerations for $p$-form theories, and also discuss some aspects pertaining to electric-magnetic duality.

7.999989

7.055103

8.055613

7.218432

7.505734

7.068407

6.853791

6.829334

7.384322

8.117107

7.371418

7.432204

7.445978

7.368429

7.299133

7.445651

7.487728

7.296468

7.521181

7.635873

7.395071

hep-th/0011290

Youm Donam

Donam Youm

Closed Universe in Mirage Cosmology

18 pages, LaTeX, errors in effective energy densities and pressures resulting from errors in Eq.(5) are corrected, erroneous analysis of the effective Friedmann equations for the giant graviton cases corrected

Phys.Rev.D63:085010,2001; Erratum-ibid.D63:129902,2001

10.1103/PhysRevD.63.085010 10.1103/PhysRevD.63.129902

IC/2000/183

hep-th astro-ph gr-qc

null

We study the cosmological evolution of the closed universe on a spherical probe brane moving in the AdS$_m\times S^n$ background and the near-horizon background of the dilatonic D-branes. The Friedmann equations describing the evolution of the brane universe, and the effective energy density and pressure simulated on the probe brane due to its motion in the curved background spacetime are obtained and analyzed. We also comment on the relevance of the spherical probe brane to the giant graviton for the special value of the probe energy.

[ { "created": "Thu, 30 Nov 2000 17:59:50 GMT", "version": "v1" }, { "created": "Mon, 5 Feb 2001 15:58:41 GMT", "version": "v2" }, { "created": "Mon, 26 Mar 2001 15:19:27 GMT", "version": "v3" } ]

2014-11-18

[ [ "Youm", "Donam", "" ] ]

We study the cosmological evolution of the closed universe on a spherical probe brane moving in the AdS$_m\times S^n$ background and the near-horizon background of the dilatonic D-branes. The Friedmann equations describing the evolution of the brane universe, and the effective energy density and pressure simulated on the probe brane due to its motion in the curved background spacetime are obtained and analyzed. We also comment on the relevance of the spherical probe brane to the giant graviton for the special value of the probe energy.

11.457274

9.161496

11.53152

9.909695

10.103423

9.321024

9.185918

8.477965

8.829374

13.026902

9.087706

9.274277

10.449031

9.43791

10.007695

9.439794

9.586678

9.169586

9.781296

10.852897

9.526409

2101.04114

Pietro Ferrero

Connor Behan, Pietro Ferrero, Xinan Zhou

More on holographic correlators: Twisted and dimensionally reduced structures

Minor changes, matches published version

null

10.1007/JHEP04(2021)008

null

hep-th

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

Recently four-point holographic correlators with arbitrary external BPS operators were constructively derived in [1,2] at tree-level for maximally superconformal theories. In this paper, we capitalize on these theoretical data, and perform a detailed study of their analytic properties. We point out that these maximally supersymmetric holographic correlators exhibit a hidden dimensional reduction structure \`a la Parisi and Sourlas. This emergent structure allows the correlators to be compactly expressed in terms of only scalar exchange diagrams in a dimensionally reduced spacetime, where formally both the AdS and the sphere factors have four dimensions less. We also demonstrate the superconformal properties of holographic correlators under the chiral algebra and topological twistings. For $AdS_5\times S^5$ and $AdS_7\times S^4$, we obtain closed form expressions for the meromorphic twisted correlators from the maximally R-symmetry violating limit of the holographic correlators. The results are compared with independent field theory computations in 4d $\mathcal{N}=4$ SYM and the 6d $(2,0)$ theory, finding perfect agreement. For $AdS_4\times S^7$, we focus on an infinite family of near-extremal four-point correlators, and extract various protected OPE coefficients from supergravity. These OPE coefficients provide new holographic predictions to be matched by future supersymmetric localization calculations. In deriving these results, we also develop many technical tools which should have broader applicability beyond studying holographic correlators.

[ { "created": "Mon, 11 Jan 2021 19:00:00 GMT", "version": "v1" }, { "created": "Wed, 7 Apr 2021 13:23:33 GMT", "version": "v2" } ]

2021-04-12

[ [ "Behan", "Connor", "" ], [ "Ferrero", "Pietro", "" ], [ "Zhou", "Xinan", "" ] ]

Recently four-point holographic correlators with arbitrary external BPS operators were constructively derived in [1,2] at tree-level for maximally superconformal theories. In this paper, we capitalize on these theoretical data, and perform a detailed study of their analytic properties. We point out that these maximally supersymmetric holographic correlators exhibit a hidden dimensional reduction structure \`a la Parisi and Sourlas. This emergent structure allows the correlators to be compactly expressed in terms of only scalar exchange diagrams in a dimensionally reduced spacetime, where formally both the AdS and the sphere factors have four dimensions less. We also demonstrate the superconformal properties of holographic correlators under the chiral algebra and topological twistings. For $AdS_5\times S^5$ and $AdS_7\times S^4$, we obtain closed form expressions for the meromorphic twisted correlators from the maximally R-symmetry violating limit of the holographic correlators. The results are compared with independent field theory computations in 4d $\mathcal{N}=4$ SYM and the 6d $(2,0)$ theory, finding perfect agreement. For $AdS_4\times S^7$, we focus on an infinite family of near-extremal four-point correlators, and extract various protected OPE coefficients from supergravity. These OPE coefficients provide new holographic predictions to be matched by future supersymmetric localization calculations. In deriving these results, we also develop many technical tools which should have broader applicability beyond studying holographic correlators.

8.573237

8.549734

10.054009

8.329691

8.667181

8.57529

8.303823

7.837323

8.012468

9.913511

7.969037

8.142356

9.006878

8.264967

8.27551

8.180385

8.263889

8.398455

8.249203

8.926181

8.167918

2308.07149

Jeong-Hyuck Park

Hocheol Lee, Jeong-Hyuck Park, Liliana Velasco-Sevilla, and Lu Yin

Late-time Cosmology without Dark Sector but with Closed String Massless Sector

v2) 8+10 pages, 6+9 figures, Free of Coincidence Problem

null

hep-th gr-qc

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

We propose to solve the dark energy and the coincidence problems by postulating the massless sector of closed strings. This sector constitutes the gravitational multiplet of string theory and, when applied to four-dimensional cosmology, predicts that the expansion of an open Universe defined in string frame is readily accelerating. We confront the prediction with the late-time cosmological data of Type Ia supernovae and quasar absorption spectrum, which probe the evolutions of the Hubble parameter and possibly the fine-structure constant. We report that these observations are in admirable agreement with the prediction without any dark sector and coincidence problem. We estimate the Hubble constant, $H_{0}\simeq 71.2\pm 0.2\,\mathrm{km/s/Mpc}$.

[ { "created": "Mon, 14 Aug 2023 13:57:04 GMT", "version": "v1" }, { "created": "Fri, 5 Apr 2024 00:58:05 GMT", "version": "v2" } ]

2024-04-08

[ [ "Lee", "Hocheol", "" ], [ "Park", "Jeong-Hyuck", "" ], [ "Velasco-Sevilla", "Liliana", "" ], [ "Yin", "Lu", "" ] ]

We propose to solve the dark energy and the coincidence problems by postulating the massless sector of closed strings. This sector constitutes the gravitational multiplet of string theory and, when applied to four-dimensional cosmology, predicts that the expansion of an open Universe defined in string frame is readily accelerating. We confront the prediction with the late-time cosmological data of Type Ia supernovae and quasar absorption spectrum, which probe the evolutions of the Hubble parameter and possibly the fine-structure constant. We report that these observations are in admirable agreement with the prediction without any dark sector and coincidence problem. We estimate the Hubble constant, $H_{0}\simeq 71.2\pm 0.2\,\mathrm{km/s/Mpc}$.

12.312364

14.671521

11.605625

11.390757

13.339617

12.570376

12.50918

10.812991

11.924564

12.221282

11.751674

11.932431

11.373796

11.381074

12.046752

12.09094

12.088485

10.936315

11.524802

11.442346

11.618275

hep-th/0605123

Anirban Saha

Pradip Mukherjee, Anirban Saha

On the question of regular solitons in a Noncommutative Maxwell--Chern--Simons--Higgs model

6 pages, Latex, minor changes, version to appear in Mod.Phys.Lett.A

Mod.Phys.Lett.A22:1113-1118,2007

10.1142/S0217732307021457

null

hep-th

null

The Maxwell--Chern--Simons model with scaler matter in the adjoint representation is analyzed from an alternative approach which is regular in the $\theta \to 0$ limit. This method is complementary to the usual operator formalism applied to explore the nonperturbative solutions which gives singular results in the $\theta \to 0$ limit. The absence of any regular non-trivial lumpy solutions satisfying B--P--S bound has been conclusively demonstrated.

[ { "created": "Fri, 12 May 2006 10:15:56 GMT", "version": "v1" }, { "created": "Wed, 16 Aug 2006 12:52:19 GMT", "version": "v2" } ]

2010-10-27

[ [ "Mukherjee", "Pradip", "" ], [ "Saha", "Anirban", "" ] ]

The Maxwell--Chern--Simons model with scaler matter in the adjoint representation is analyzed from an alternative approach which is regular in the $\theta \to 0$ limit. This method is complementary to the usual operator formalism applied to explore the nonperturbative solutions which gives singular results in the $\theta \to 0$ limit. The absence of any regular non-trivial lumpy solutions satisfying B--P--S bound has been conclusively demonstrated.

16.329788

17.603218

17.329172

15.163719

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16.69223

15.941608

16.394327

15.749322

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15.203862

14.82233

15.320161

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16.68689

14.800453