LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1606.00849

Stephen Stopyra

Arttu Rajantie and Stephen Stopyra

Standard Model vacuum decay with gravity

23 pages, 7 figures

Phys. Rev. D 95, 025008 (2017)

10.1103/PhysRevD.95.025008

Imperial-TP-2016-AR-2

hep-th gr-qc hep-ph

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

We present a calculation of the decay rate of the electroweak vacuum, fully including all gravitational effects and a possible non-minimal Higgs-curvature coupling $\xi$, and using the three-loop Standard Model effective potential. Without a non-minimal coupling, we find that the effect of the gravitational backreaction is small and less significant than previous calculations suggested. The gravitational effects are smallest, and almost completely suppressed, near the conformal value $\xi=1/6$ of the non-minimal coupling. Moving $\xi$ away from this value in either direction universally suppresses the decay rate.

[ { "created": "Thu, 2 Jun 2016 20:08:12 GMT", "version": "v1" } ]

2017-01-18

[ [ "Rajantie", "Arttu", "" ], [ "Stopyra", "Stephen", "" ] ]

We present a calculation of the decay rate of the electroweak vacuum, fully including all gravitational effects and a possible non-minimal Higgs-curvature coupling $\xi$, and using the three-loop Standard Model effective potential. Without a non-minimal coupling, we find that the effect of the gravitational backreaction is small and less significant than previous calculations suggested. The gravitational effects are smallest, and almost completely suppressed, near the conformal value $\xi=1/6$ of the non-minimal coupling. Moving $\xi$ away from this value in either direction universally suppresses the decay rate.

8.160039

8.443052

7.694675

7.535049

7.842324

8.81339

8.625796

7.874654

7.708936

8.481071

7.922596

7.947174

7.802454

7.809865

8.133904

8.064316

7.747415

7.941285

7.714689

8.002975

7.849614

hep-th/0101155

Saharian Aram

August Romeo (IEEC/CSIC), Aram A. Saharian (Yerevan State University, Armenia)

Vacuum densities and zero-point energy for fields obeying Robin conditions on cylindrical surfaces

19 pages, 3 figures

Phys.Rev. D63 (2001) 105019

10.1103/PhysRevD.63.105019

null

hep-th

null

The Casimir effect for general Robin conditions on the surface of a cylinder in $D$-spacetime dimensions is studied for massive scalar field with general curvature coupling. The energy distribution and vacuum stress are investigated. We separate volumic and superficial energy contributions, for both interior and exterior space regions. The possibility that some special conditions may be energetically singled out is indicated.

[ { "created": "Wed, 24 Jan 2001 10:46:56 GMT", "version": "v1" } ]

2009-11-07

[ [ "Romeo", "August", "", "IEEC/CSIC" ], [ "Saharian", "Aram A.", "", "Yerevan State University,\n Armenia" ] ]

The Casimir effect for general Robin conditions on the surface of a cylinder in $D$-spacetime dimensions is studied for massive scalar field with general curvature coupling. The energy distribution and vacuum stress are investigated. We separate volumic and superficial energy contributions, for both interior and exterior space regions. The possibility that some special conditions may be energetically singled out is indicated.

22.504963

18.479258

17.508219

15.969896

16.644161

16.011173

20.056763

16.702015

14.485922

21.380714

15.837131

15.868494

16.715189

16.142496

16.620293

16.608622

16.992958

17.126827

16.749655

16.114576

16.882877

1703.05848

Dionisio Bazeia

D. Bazeia, M.A. Marques, R. Menezes

Generalized Born-Infeld-like models for kinks and branes

6 pages; v3, to appear in EPL

EPL 118 (2017) 11001

10.1209/0295-5075/118/11001

null

hep-th

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

In this work we deal with a non-canonical scalar field in the two-dimensional spacetime. We search for a generalized model that is twin of the standard model, supporting the same defect structure with the same energy density. We also study the stability of the defect solution under small fluctuations, which is governed by a Sturm-Liouville equation, and show how to make it stable. The model is then modified and used in the five-dimensional spacetime to construct a thick brane that engenders the first order framework and preserves the twinlike behavior, under tensorial fluctuations of the metric in its gravitational sector.

[ { "created": "Thu, 16 Mar 2017 23:30:12 GMT", "version": "v1" }, { "created": "Tue, 21 Mar 2017 14:18:05 GMT", "version": "v2" }, { "created": "Fri, 12 May 2017 00:04:40 GMT", "version": "v3" } ]

2017-06-07

[ [ "Bazeia", "D.", "" ], [ "Marques", "M. A.", "" ], [ "Menezes", "R.", "" ] ]

In this work we deal with a non-canonical scalar field in the two-dimensional spacetime. We search for a generalized model that is twin of the standard model, supporting the same defect structure with the same energy density. We also study the stability of the defect solution under small fluctuations, which is governed by a Sturm-Liouville equation, and show how to make it stable. The model is then modified and used in the five-dimensional spacetime to construct a thick brane that engenders the first order framework and preserves the twinlike behavior, under tensorial fluctuations of the metric in its gravitational sector.

16.384785

12.061501

15.60982

12.681702

14.480134

12.388974

11.901936

12.499515

12.719938

17.482195

12.451767

14.076339

15.151279

14.592155

14.014482

13.839262

13.611873

13.844682

14.182408

14.868306

13.975686

1402.5411

Jennifer Lin

David Kutasov and Jennifer Lin

N=1 Duality and the Superconformal Index

26 pages, 1 figure; v2: typos corrected

null

hep-th

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

We use the N = 1 superconformal index to study certain quantum constraints on chiral operators in a class of non-trivial SCFT's.

[ { "created": "Fri, 21 Feb 2014 21:00:01 GMT", "version": "v1" }, { "created": "Thu, 22 May 2014 21:03:53 GMT", "version": "v2" } ]

2014-05-26

[ [ "Kutasov", "David", "" ], [ "Lin", "Jennifer", "" ] ]

We use the N = 1 superconformal index to study certain quantum constraints on chiral operators in a class of non-trivial SCFT's.

12.71878

7.985641

12.805368

8.685461

7.550715

8.537857

9.106139

8.836271

8.173302

10.663507

8.711087

9.042078

11.389904

8.890841

9.268189

8.659389

8.674025

9.159236

8.74172

10.78214

8.581006

hep-th/0609119

Yoshiaki Tanii

M. Nishimura and Y. Tanii

PSU(2,2|4) transformations of IIB superstring in AdS_5 x S^5

LaTeX, 14 pages, a reference added

J.Phys.A42:095401,2009

10.1088/1751-8113/42/9/095401

STUPP-06-187

hep-th

null

The PSU(2,2|4) transformation laws of the IIB superstring theory in the AdS_5 x S^5 background are explicitly obtained for the light-cone gauge in the Green-Schwarz formalism.

[ { "created": "Mon, 18 Sep 2006 02:47:46 GMT", "version": "v1" }, { "created": "Wed, 18 Oct 2006 09:02:15 GMT", "version": "v2" } ]

2009-02-09

[ [ "Nishimura", "M.", "" ], [ "Tanii", "Y.", "" ] ]

The PSU(2,2|4) transformation laws of the IIB superstring theory in the AdS_5 x S^5 background are explicitly obtained for the light-cone gauge in the Green-Schwarz formalism.

10.033633

4.354625

4.856368

4.291107

4.451121

4.714223

4.665813

4.225711

4.562293

7.806691

4.634547

4.839015

5.164995

4.752612

4.814933

4.910087

4.814801

4.636585

5.092065

5.281709

4.786932

hep-th/0009148

David Kutasov

David Kutasov, Marcos Marino and Gregory Moore

Some Exact Results on Tachyon Condensation in String Field Theory

25 pages, harvmac

JHEP 0010 (2000) 045

10.1088/1126-6708/2000/10/045

EFI-2000-32, RUNHETC-2000-34

hep-th

null

The study of open string tachyon condensation in string field theory can be drastically simplified by making an appropriate choice of coordinates on the space of string fields. We show that a very natural coordinate system is suggested by the connection between the worldsheet renormalization group and spacetime physics. In this system only one field, the tachyon, condenses while all other fields have vanishing expectation values. These coordinates are also well-suited to the study of D-branes as solitons. We use them to show that the tension of the D25-brane is cancelled by tachyon condensation and compute exactly the profiles and tensions of lower dimensional D-branes.

[ { "created": "Tue, 19 Sep 2000 17:02:06 GMT", "version": "v1" } ]

2009-10-31

[ [ "Kutasov", "David", "" ], [ "Marino", "Marcos", "" ], [ "Moore", "Gregory", "" ] ]

The study of open string tachyon condensation in string field theory can be drastically simplified by making an appropriate choice of coordinates on the space of string fields. We show that a very natural coordinate system is suggested by the connection between the worldsheet renormalization group and spacetime physics. In this system only one field, the tachyon, condenses while all other fields have vanishing expectation values. These coordinates are also well-suited to the study of D-branes as solitons. We use them to show that the tension of the D25-brane is cancelled by tachyon condensation and compute exactly the profiles and tensions of lower dimensional D-branes.

6.186681

6.083407

6.620852

5.899174

6.149972

5.833658

6.018554

6.041134

5.91501

6.793188

6.12104

6.104813

6.249156

5.983442

6.084129

6.248207

6.198953

6.028273

5.948753

6.513084

5.850756

1609.03665

Luying Wang

Luying Wang, Shang-Yu Wu

Holographic study on the jet quenching parameter in anisotropic systems

null

10.1140/epjc/s10052-016-4421-1

null

hep-th

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

We first calculate the jet quenching parameter of an anisotropic plasma with a U(1) chemical potential via the AdS/CFT duality. The effects of charge, anisotropy parameter and quark motion direction on the jet quenching parameter are investigated. We then discuss the situation of anisotropic black brane in the IR region. We study both the jet quenching parameters along the longitudinal direction and transverse plane.

[ { "created": "Tue, 13 Sep 2016 03:19:34 GMT", "version": "v1" }, { "created": "Thu, 10 Nov 2016 06:43:05 GMT", "version": "v2" } ]

2016-11-23

[ [ "Wang", "Luying", "" ], [ "Wu", "Shang-Yu", "" ] ]

We first calculate the jet quenching parameter of an anisotropic plasma with a U(1) chemical potential via the AdS/CFT duality. The effects of charge, anisotropy parameter and quark motion direction on the jet quenching parameter are investigated. We then discuss the situation of anisotropic black brane in the IR region. We study both the jet quenching parameters along the longitudinal direction and transverse plane.

8.451414

6.5917

8.322296

6.997924

7.041506

7.148997

7.259499

7.118858

7.854601

8.170851

7.041914

6.978081

7.677621

7.259508

7.124609

7.164589

6.872623

6.686275

7.209277

7.94616

7.317912

1411.7351

Tobias Hansen

Miguel S. Costa, Tobias Hansen

Conformal correlators of mixed-symmetry tensors

46 pages, many figures, v2: Reformulated the counting of tensor structures, new section on conserved operators, v3: fixed typos

JHEP 1502 (2015) 151

10.1007/JHEP02(2015)151

null

hep-th math-ph math.MP

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

We generalize the embedding formalism for conformal field theories to the case of general operators with mixed symmetry. The index-free notation encoding symmetric tensors as polynomials in an auxiliary polarization vector is extended to mixed-symmetry tensors by introducing a new commuting or anticommuting polarization vector for each row or column in the Young diagram that describes the index symmetries of the tensor. We determine the tensor structures that are allowed in n-point conformal correlation functions and give an algorithm for counting them in terms of tensor product coefficients. A simple derivation of the unitarity bound for arbitrary mixed-symmetry tensors is obtained by considering the conservation condition in embedding space. We show, with an example, how the new formalism can be used to compute conformal blocks of arbitrary external fields for the exchange of any conformal primary and its descendants. The matching between the number of tensor structures in conformal field theory correlators of operators in d dimensions and massive scattering amplitudes in d+1 dimensions is also seen to carry over to mixed-symmetry tensors.

[ { "created": "Wed, 26 Nov 2014 19:56:58 GMT", "version": "v1" }, { "created": "Mon, 19 Jan 2015 20:35:57 GMT", "version": "v2" }, { "created": "Wed, 2 Sep 2015 14:29:17 GMT", "version": "v3" } ]

2015-09-03

[ [ "Costa", "Miguel S.", "" ], [ "Hansen", "Tobias", "" ] ]

We generalize the embedding formalism for conformal field theories to the case of general operators with mixed symmetry. The index-free notation encoding symmetric tensors as polynomials in an auxiliary polarization vector is extended to mixed-symmetry tensors by introducing a new commuting or anticommuting polarization vector for each row or column in the Young diagram that describes the index symmetries of the tensor. We determine the tensor structures that are allowed in n-point conformal correlation functions and give an algorithm for counting them in terms of tensor product coefficients. A simple derivation of the unitarity bound for arbitrary mixed-symmetry tensors is obtained by considering the conservation condition in embedding space. We show, with an example, how the new formalism can be used to compute conformal blocks of arbitrary external fields for the exchange of any conformal primary and its descendants. The matching between the number of tensor structures in conformal field theory correlators of operators in d dimensions and massive scattering amplitudes in d+1 dimensions is also seen to carry over to mixed-symmetry tensors.

8.888896

8.615187

10.078299

8.642658

8.310548

7.606135

8.633003

7.882049

8.106335

11.012581

8.283493

8.261994

8.824027

8.379539

8.374818

8.396256

8.286152

8.43452

8.444728

9.257348

8.431129

2007.05213

Tatsuya Mori

Reona Arai, Shota Fujiwara, Yosuke Imamura, Tatsuya Mori, Daisuke Yokoyama

Finite-$N$ corrections to the M-brane indices

40 pages; v2: minor corrections

null

10.1007/JHEP11(2020)093

TIT/HEP-681

hep-th

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

We investigate finite-$N$ corrections to the superconformal indices of the theories realized on M2- and M5-branes. For three-dimensional theories realized on a stack of $N$ M2-branes we calculate the finite-$N$ corrections as the contribution of extended M5-branes in the dual geometry $AdS_4\times \boldsymbol{S}^7$. We take only M5-brane configurations with a single wrapping into account, and neglect multiple-wrapping configurations. We compare the results with the indices calculated from the ABJM theory, and find agreement up to expected errors due to the multiple wrapping. For six-dimensional theories on $N$ M5-branes we calculate the indices by analyzing extended M2-branes in $AdS_7\times \boldsymbol{S}^4$. Again, we include only configurations with single wrapping. We first compare the result for $N=1$ with the index of the free tensor multiplet to estimate the order of the error due to multiple wrapping. We calculate first few terms of the index of $A_{N-1}$ theories explicitly, and confirm that they can be expanded by superconformal representations. We also discuss multiple-wrapping contributions to the six-dimensional Schur-like index.

[ { "created": "Fri, 10 Jul 2020 07:35:10 GMT", "version": "v1" }, { "created": "Wed, 30 Sep 2020 07:14:57 GMT", "version": "v2" } ]

2020-12-02

[ [ "Arai", "Reona", "" ], [ "Fujiwara", "Shota", "" ], [ "Imamura", "Yosuke", "" ], [ "Mori", "Tatsuya", "" ], [ "Yokoyama", "Daisuke", "" ] ]

We investigate finite-$N$ corrections to the superconformal indices of the theories realized on M2- and M5-branes. For three-dimensional theories realized on a stack of $N$ M2-branes we calculate the finite-$N$ corrections as the contribution of extended M5-branes in the dual geometry $AdS_4\times \boldsymbol{S}^7$. We take only M5-brane configurations with a single wrapping into account, and neglect multiple-wrapping configurations. We compare the results with the indices calculated from the ABJM theory, and find agreement up to expected errors due to the multiple wrapping. For six-dimensional theories on $N$ M5-branes we calculate the indices by analyzing extended M2-branes in $AdS_7\times \boldsymbol{S}^4$. Again, we include only configurations with single wrapping. We first compare the result for $N=1$ with the index of the free tensor multiplet to estimate the order of the error due to multiple wrapping. We calculate first few terms of the index of $A_{N-1}$ theories explicitly, and confirm that they can be expanded by superconformal representations. We also discuss multiple-wrapping contributions to the six-dimensional Schur-like index.

6.039068

6.232953

6.873354

5.961428

6.495959

6.219201

6.305029

6.083343

5.750699

7.98945

6.215788

5.72579

6.066524

5.763011

6.256264

6.21919

5.935201

6.297887

5.989554

6.224988

5.788742

1511.06079

Mohammad M. Sheikh-Jabbari

G. Comp\`ere, P. Mao, A. Seraj and M.M. Sheikh-Jabbari

Symplectic and Killing Symmetries of AdS$_3$ Gravity: Holographic vs Boundary Gravitons

39 pages, v2: a reference added, the version to appear in JHEP

null

10.1007/JHEP01(2016)080

IPM/P-2015/072

hep-th

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

The set of solutions to the AdS$_3$ Einstein gravity with Brown-Henneaux boundary conditions is known to be a family of metrics labeled by two arbitrary periodic functions, respectively left and right-moving. It turns out that there exists an appropriate presymplectic form which vanishes on-shell. This promotes this set of metrics to a phase space in which the Brown-Henneaux asymptotic symmetries become symplectic symmetries in the bulk of spacetime. Moreover, any element in the phase space admits two global Killing vectors. We show that the conserved charges associated with these Killing vectors commute with the Virasoro symplectic symmetry algebra, extending the Virasoro symmetry algebra with two $U(1)$ generators. We discuss that any element in the phase space falls into the coadjoint orbits of the Virasoro algebras and that each orbit is labeled by the $U(1)$ Killing charges. Upon setting the right-moving function to zero and restricting the choice of orbits, one can take a near-horizon decoupling limit which preserves a chiral half of the symplectic symmetries. Here we show two distinct but equivalent ways in which the chiral Virasoro symplectic symmetries in the near-horizon geometry can be obtained as a limit of the bulk symplectic symmetries.

[ { "created": "Thu, 19 Nov 2015 07:18:22 GMT", "version": "v1" }, { "created": "Sun, 27 Dec 2015 17:39:54 GMT", "version": "v2" } ]

2016-02-17

[ [ "Compère", "G.", "" ], [ "Mao", "P.", "" ], [ "Seraj", "A.", "" ], [ "Sheikh-Jabbari", "M. M.", "" ] ]

The set of solutions to the AdS$_3$ Einstein gravity with Brown-Henneaux boundary conditions is known to be a family of metrics labeled by two arbitrary periodic functions, respectively left and right-moving. It turns out that there exists an appropriate presymplectic form which vanishes on-shell. This promotes this set of metrics to a phase space in which the Brown-Henneaux asymptotic symmetries become symplectic symmetries in the bulk of spacetime. Moreover, any element in the phase space admits two global Killing vectors. We show that the conserved charges associated with these Killing vectors commute with the Virasoro symplectic symmetry algebra, extending the Virasoro symmetry algebra with two $U(1)$ generators. We discuss that any element in the phase space falls into the coadjoint orbits of the Virasoro algebras and that each orbit is labeled by the $U(1)$ Killing charges. Upon setting the right-moving function to zero and restricting the choice of orbits, one can take a near-horizon decoupling limit which preserves a chiral half of the symplectic symmetries. Here we show two distinct but equivalent ways in which the chiral Virasoro symplectic symmetries in the near-horizon geometry can be obtained as a limit of the bulk symplectic symmetries.

6.481297

6.990151

7.296023

6.80942

7.149046

7.018615

7.010527

7.080082

6.816018

7.785814

6.737682

6.71532

6.918275

6.548093

6.683698

6.721962

6.769286

6.644264

7.000364

7.141681

6.567007

2107.02178

Jorrit Kruthoff

Andreas Blommaert and Jorrit Kruthoff

Gravity without averaging

47 pages, 15 figures and many delta functions

SciPost Phys. 12, 073 (2022)

10.21468/SciPostPhys.12.2.073

null

hep-th

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

We present a gravitational theory that interpolates between JT gravity, and a gravity theory with a fixed boundary Hamiltonian. For this, we consider a matrix integral with the insertion of a Gaussian with variance $\sigma^2$, centered around a matrix $\textsf{H}_0$. Tightening the Gaussian renders the matrix integral less random, and ultimately it collapses the ensemble to one Hamiltonian $\textsf{H}_0$. This model provides a concrete setup to study factorization, and what the gravity dual of a single member of the ensemble is. We find that as $\sigma^2$ is decreased, the JT gravity dilaton potential gets modified, and ultimately the gravity theory goes through a series of phase transitions, corresponding to a proliferation of extra macroscopic holes in the spacetime. Furthermore, we observe that in the Efetov model approach to random matrices, the non-averaged factorizing theory is described by one simple saddle point.

[ { "created": "Mon, 5 Jul 2021 18:00:00 GMT", "version": "v1" } ]

2022-03-09

[ [ "Blommaert", "Andreas", "" ], [ "Kruthoff", "Jorrit", "" ] ]

We present a gravitational theory that interpolates between JT gravity, and a gravity theory with a fixed boundary Hamiltonian. For this, we consider a matrix integral with the insertion of a Gaussian with variance $\sigma^2$, centered around a matrix $\textsf{H}_0$. Tightening the Gaussian renders the matrix integral less random, and ultimately it collapses the ensemble to one Hamiltonian $\textsf{H}_0$. This model provides a concrete setup to study factorization, and what the gravity dual of a single member of the ensemble is. We find that as $\sigma^2$ is decreased, the JT gravity dilaton potential gets modified, and ultimately the gravity theory goes through a series of phase transitions, corresponding to a proliferation of extra macroscopic holes in the spacetime. Furthermore, we observe that in the Efetov model approach to random matrices, the non-averaged factorizing theory is described by one simple saddle point.

13.128

13.316162

13.245243

12.552287

13.660899

13.169054

13.035393

12.552641

12.59534

14.356789

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12.841701

12.749763

12.557071

12.753022

12.808673

13.324932

12.255534

12.260731

13.457174

12.386177

2005.07177

Marcus Spradlin

Jorge Mago, Anders Schreiber, Marcus Spradlin, Anastasia Volovich

A Note on One-loop Cluster Adjacency in N = 4 SYM

14 pages, 2 figures; v2: minor typos corrected

null

10.1007/JHEP01(2021)084

null

hep-th

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

We study cluster adjacency conjectures for amplitudes in maximally supersymmetric Yang-Mills theory. We show that the n-point one-loop NMHV ratio function satisfies Steinmann cluster adjacency. We also show that the one-loop BDS-like normalized NMHV amplitude satisfies cluster adjacency between Yangian invariants and final symbol entries up to 9-points. We present conjectures for cluster adjacency properties of Pl\"ucker coordinates, quadratic cluster variables, and NMHV Yangian invariants that generalize the notion of weak separation.

[ { "created": "Thu, 14 May 2020 17:45:36 GMT", "version": "v1" }, { "created": "Tue, 1 Dec 2020 21:19:07 GMT", "version": "v2" } ]

2021-02-03

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

We study cluster adjacency conjectures for amplitudes in maximally supersymmetric Yang-Mills theory. We show that the n-point one-loop NMHV ratio function satisfies Steinmann cluster adjacency. We also show that the one-loop BDS-like normalized NMHV amplitude satisfies cluster adjacency between Yangian invariants and final symbol entries up to 9-points. We present conjectures for cluster adjacency properties of Pl\"ucker coordinates, quadratic cluster variables, and NMHV Yangian invariants that generalize the notion of weak separation.

17.521196

14.709577

21.471581

16.062443

16.131746

18.2335

16.710236

16.350103

16.108974

22.36174

16.573908

14.906566

19.076332

15.43568

16.090496

15.6891

15.382285

15.224589

15.346072

19.533964

15.29876

1912.00228

Hrant Gharibyan

Adam R. Brown, Hrant Gharibyan, Geoff Penington, Leonard Susskind

The Python's Lunch: geometric obstructions to decoding Hawking radiation

65 pages

null

hep-th gr-qc quant-ph

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

According to Harlow and Hayden [arXiv:1301.4504] the task of distilling information out of Hawking radiation appears to be computationally hard despite the fact that the quantum state of the black hole and its radiation is relatively un-complex. We trace this computational difficulty to a geometric obstruction in the Einstein-Rosen bridge connecting the black hole and its radiation. Inspired by tensor network models, we conjecture a precise formula relating the computational hardness of distilling information to geometric properties of the wormhole - specifically to the exponential of the difference in generalized entropies between the two non-minimal quantum extremal surfaces that constitute the obstruction. Due to its shape, we call this obstruction the "Python's Lunch", in analogy to the reptile's postprandial bulge.

[ { "created": "Sat, 30 Nov 2019 16:35:03 GMT", "version": "v1" } ]

2019-12-03

[ [ "Brown", "Adam R.", "" ], [ "Gharibyan", "Hrant", "" ], [ "Penington", "Geoff", "" ], [ "Susskind", "Leonard", "" ] ]

According to Harlow and Hayden [arXiv:1301.4504] the task of distilling information out of Hawking radiation appears to be computationally hard despite the fact that the quantum state of the black hole and its radiation is relatively un-complex. We trace this computational difficulty to a geometric obstruction in the Einstein-Rosen bridge connecting the black hole and its radiation. Inspired by tensor network models, we conjecture a precise formula relating the computational hardness of distilling information to geometric properties of the wormhole - specifically to the exponential of the difference in generalized entropies between the two non-minimal quantum extremal surfaces that constitute the obstruction. Due to its shape, we call this obstruction the "Python's Lunch", in analogy to the reptile's postprandial bulge.

12.146714

11.098816

11.390955

9.324951

9.686888

9.968838

12.289705

9.792205

9.636662

11.202309

10.172837

8.987174

9.596274

9.356908

9.101087

9.242797

9.719312

9.482392

9.38082

9.728481

9.05205

1212.6760

Azadeh Maleknejad

A. Maleknejad, M. Zarei

Slow-roll trajectories in Chromo-Natural and Gauge-flation Models, an exhaustive analysis

7 pages, 7 figures

null

10.1103/PhysRevD.88.043509

null

hep-th hep-ph

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

We present an exhaustive analysis on the classical solutions of the Chromo-natural model. We showed that starting from an arbitrary axion field value $\chi_0\in(0,f\pi)$, it is possible to have successful slow-roll inflation and working out the analytical solution of the number of e-folding, we determine the allowed region of the parameters corresponding to each $\chi_0$ value. Having the allowed parameter region, then we study the behavior of the solutions respect to the initial value of the axion field.

[ { "created": "Sun, 30 Dec 2012 18:26:19 GMT", "version": "v1" } ]

2013-08-14

[ [ "Maleknejad", "A.", "" ], [ "Zarei", "M.", "" ] ]

We present an exhaustive analysis on the classical solutions of the Chromo-natural model. We showed that starting from an arbitrary axion field value $\chi_0\in(0,f\pi)$, it is possible to have successful slow-roll inflation and working out the analytical solution of the number of e-folding, we determine the allowed region of the parameters corresponding to each $\chi_0$ value. Having the allowed parameter region, then we study the behavior of the solutions respect to the initial value of the axion field.

12.384618

11.915365

11.517892

11.787579

11.95936

12.118856

12.392912

12.066359

11.409492

13.404078

12.526299

10.897741

11.575232

11.517303

11.157509

12.049243

11.574226

12.082917

11.486245

11.796302

11.518141

2009.02840

Kazumi Okuyama

Quenched free energy in random matrix model

12 pages; v2) section on the large N limit removed. v3) to appear in JHEP

null

10.1007/JHEP12(2020)080

null

hep-th

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

We compute the quenched free energy in the Gaussian random matrix model by directly evaluating the matrix integral without using the replica trick. We find that the quenched free energy is a monotonic function of the temperature and the entropy approaches $\log N$ at high temperature and vanishes at zero temperature.

[ { "created": "Mon, 7 Sep 2020 00:49:39 GMT", "version": "v1" }, { "created": "Tue, 8 Sep 2020 06:46:03 GMT", "version": "v2" }, { "created": "Tue, 3 Nov 2020 08:40:38 GMT", "version": "v3" } ]

2020-12-30

[ [ "Okuyama", "Kazumi", "" ] ]

We compute the quenched free energy in the Gaussian random matrix model by directly evaluating the matrix integral without using the replica trick. We find that the quenched free energy is a monotonic function of the temperature and the entropy approaches $\log N$ at high temperature and vanishes at zero temperature.

8.452205

7.369843

8.568799

7.474755

6.994688

7.540483

7.897899

7.177707

6.983003

7.967505

6.737113

6.75072

7.418746

7.10834

6.794332

6.82618

7.082226

6.749357

6.842429

7.683691

6.635367

2111.05981

Adolfo Holguin

Giant Gravitons Intersecting at Angles from Integrable Spin Chains

16 pages, no figures, v2 references added and minor changes

null

hep-th

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

We study integrable non-diagonal open boundary conditions for spin chains arising from holographic gauge theories. Their dual description is in terms of open strings stretching between giant gravitons intersecting at arbitrary angles inside spheres or projective spaces. By studying properties of their ground and low-lying states we reproduce the expected spectrum near the intersections. Unlike the case of intersecting D-branes in flat space, intersecting giant gravitons related by $SU(N)$ rotations do not always preserve an additional supersymmetry. We quantify this lack of enhancement by whether or not there exists a simple ferromagnetic ground state for the open spin chain.

[ { "created": "Wed, 10 Nov 2021 23:03:23 GMT", "version": "v1" }, { "created": "Tue, 11 Jan 2022 01:39:14 GMT", "version": "v2" } ]

2022-01-12

[ [ "Holguin", "Adolfo", "" ] ]

We study integrable non-diagonal open boundary conditions for spin chains arising from holographic gauge theories. Their dual description is in terms of open strings stretching between giant gravitons intersecting at arbitrary angles inside spheres or projective spaces. By studying properties of their ground and low-lying states we reproduce the expected spectrum near the intersections. Unlike the case of intersecting D-branes in flat space, intersecting giant gravitons related by $SU(N)$ rotations do not always preserve an additional supersymmetry. We quantify this lack of enhancement by whether or not there exists a simple ferromagnetic ground state for the open spin chain.

12.924241

12.376111

13.298018

12.22396

11.861853

11.651987

12.131158

12.850496

11.357567

15.227471

11.856066

12.163155

12.714578

11.961746

12.02271

11.965425

11.403985

11.571531

11.804672

13.073343

11.189572

2103.01401

Sunjin Choi

Sunjin Choi, Saebyeok Jeong, Seok Kim

The Yang-Mills duals of small AdS black holes

65 pages, 15 figures; v2: minor correction, references added

null

SNUTP21-001

hep-th

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

We study the large $N$ matrix model for the index of 4d $\mathcal{N}=4$ Yang-Mills theory and its truncations to understand the dual AdS$_5$ black holes. Numerical studies of the truncated models provide insights on the black hole physics, some of which we investigate analytically with the full Yang-Mills matrix model. In particular, we find many branches of saddle points which describe the known black hole solutions. We analytically construct the saddle points dual to the small black holes whose sizes are much smaller than the AdS radius. They include the asymptotically flat BMPV black holes embedded in large AdS with novel thermodynamic instabilities.

[ { "created": "Tue, 2 Mar 2021 01:29:41 GMT", "version": "v1" }, { "created": "Thu, 28 Mar 2024 07:31:50 GMT", "version": "v2" } ]

2024-03-29

[ [ "Choi", "Sunjin", "" ], [ "Jeong", "Saebyeok", "" ], [ "Kim", "Seok", "" ] ]

We study the large $N$ matrix model for the index of 4d $\mathcal{N}=4$ Yang-Mills theory and its truncations to understand the dual AdS$_5$ black holes. Numerical studies of the truncated models provide insights on the black hole physics, some of which we investigate analytically with the full Yang-Mills matrix model. In particular, we find many branches of saddle points which describe the known black hole solutions. We analytically construct the saddle points dual to the small black holes whose sizes are much smaller than the AdS radius. They include the asymptotically flat BMPV black holes embedded in large AdS with novel thermodynamic instabilities.

8.960298

8.360159

9.82952

7.870959

8.408939

8.381579

8.197159

8.552051

8.142495

10.867376

8.131231

8.149662

8.924

8.117818

8.297053

8.42163

8.479522

8.262154

8.374538

9.510266

8.133306

hep-th/0301077

Aleksandr I. Sokolov

E. V. Orlov, A. I. Sokolov (Saint Petersburg Electrotechnical University, Saint Petersburg, Russia)

Five-loop renormalization-group expansions for two-dimensional Euclidean \lambda \phi^4 theory

LaTeX, 7 pages, 3 tables

Proceedings of the XI International Seminar "Quarks-2000" (Pushkin, St.Petersburg, Russia, May 14-21, 2000), published by Institute for Nuclear Research, Moscow, 2002, pp.263-270

null

hep-th cond-mat hep-lat hep-ph

null

The renormalization-group functions of the two-dimensional n-vector \lambda \phi^4 model are calculated in the five-loop approximation. Perturbative series for the \beta-function and critical exponents are resummed by the Pade-Borel-Leroy techniques. An account for the five-loop term shifts the Wilson fixed point location only briefly, leaving it outside the segment formed by the results of the lattice calculations. This is argued to reflect the influence of the non-analytical contribution to the \beta-function. The evaluation of the critical exponents for n = 1, n = 0 and n = -1 in the five-loop approximation and comparison of the results with known exact values confirm the conclusion that non-analytical contributions are visible in two dimensions. For the 2D Ising model, the estimate \omega = 1.31 for the correction-to-scaling exponent is found.

[ { "created": "Mon, 13 Jan 2003 17:05:39 GMT", "version": "v1" } ]

2007-05-23

[ [ "Orlov", "E. V.", "", "Saint Petersburg Electrotechnical\n University, Saint Petersburg, Russia" ], [ "Sokolov", "A. I.", "", "Saint Petersburg Electrotechnical\n University, Saint Petersburg, Russia" ] ]

The renormalization-group functions of the two-dimensional n-vector \lambda \phi^4 model are calculated in the five-loop approximation. Perturbative series for the \beta-function and critical exponents are resummed by the Pade-Borel-Leroy techniques. An account for the five-loop term shifts the Wilson fixed point location only briefly, leaving it outside the segment formed by the results of the lattice calculations. This is argued to reflect the influence of the non-analytical contribution to the \beta-function. The evaluation of the critical exponents for n = 1, n = 0 and n = -1 in the five-loop approximation and comparison of the results with known exact values confirm the conclusion that non-analytical contributions are visible in two dimensions. For the 2D Ising model, the estimate \omega = 1.31 for the correction-to-scaling exponent is found.

8.507683

7.178737

9.294458

7.302022

8.743782

7.377737

7.428693

7.574008

7.57801

10.039678

7.296894

7.602446

8.218254

8.051513

8.426167

7.712423

7.90553

7.648842

7.889616

8.552827

8.021864

1507.08866

Rafael I. Nepomechie

Xin Zhang, Junpeng Cao, Shuai Cui, Rafael I. Nepomechie, Wen-Li Yang, Kangjie Shi, Yupeng Wang

Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries

25 pages; v2: reference added; v3: minor revisions, form accepted by journal

null

UMTG--284

hep-th math-ph math.MP

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

We consider the integrable open-chain transfer matrix corresponding to a Y=0 brane at one boundary, and a Y_theta=0 brane (rotated with the respect to the former by an angle theta) at the other boundary. We determine the exact eigenvalues of this transfer matrix in terms of solutions of a corresponding set of Bethe equations.

[ { "created": "Fri, 31 Jul 2015 13:10:57 GMT", "version": "v1" }, { "created": "Thu, 6 Aug 2015 18:21:59 GMT", "version": "v2" }, { "created": "Tue, 22 Sep 2015 16:36:48 GMT", "version": "v3" } ]

2015-09-23

[ [ "Zhang", "Xin", "" ], [ "Cao", "Junpeng", "" ], [ "Cui", "Shuai", "" ], [ "Nepomechie", "Rafael I.", "" ], [ "Yang", "Wen-Li", "" ], [ "Shi", "Kangjie", "" ], [ "Wang", "Yupeng", "" ] ]

We consider the integrable open-chain transfer matrix corresponding to a Y=0 brane at one boundary, and a Y_theta=0 brane (rotated with the respect to the former by an angle theta) at the other boundary. We determine the exact eigenvalues of this transfer matrix in terms of solutions of a corresponding set of Bethe equations.

11.892078

9.319652

12.825853

8.915735

9.124599

10.473601

9.662259

10.111974

10.827518

12.345824

10.227486

9.689567

12.139834

10.494317

9.977612

9.914386

9.553938

10.018688

10.070101

12.421753

9.981051

1610.05934

Carlo A. Trugenberger

Combinatorial Quantum Gravity: Geometry from Random Bits

Revised version to appear in JHEP

null

10.1007/JHEP09(2017)045

null

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

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

I propose a quantum gravity model in which geometric space emerges from random bits in a quantum phase transition driven by the combinatorial Ollivier-Ricci curvature and corresponding to the condensation of short cycles in random graphs. This quantum critical point defines quantum gravity non-perturbatively. In the ordered geometric phase at large distances the action reduces to the standard Einstein-Hilbert term.

[ { "created": "Wed, 19 Oct 2016 09:42:52 GMT", "version": "v1" }, { "created": "Fri, 24 Mar 2017 10:29:06 GMT", "version": "v2" }, { "created": "Wed, 30 Aug 2017 07:11:18 GMT", "version": "v3" } ]

2017-10-25

[ [ "Trugenberger", "Carlo A.", "" ] ]

I propose a quantum gravity model in which geometric space emerges from random bits in a quantum phase transition driven by the combinatorial Ollivier-Ricci curvature and corresponding to the condensation of short cycles in random graphs. This quantum critical point defines quantum gravity non-perturbatively. In the ordered geometric phase at large distances the action reduces to the standard Einstein-Hilbert term.

16.538515

13.655208

18.37524

14.336519

15.120964

13.020226

13.94457

14.673936

13.36317

19.500589

13.616611

15.093129

16.907465

15.555378

14.770398

15.189844

14.445949

15.031381

15.85739

18.306107

15.310838

hep-th/9905205

Rey Soojong

Chanju Kim and Soo-Jong Rey

Thermodynamics of Large-N Super Yang-Mills Theory and AdS/CFT Correspondence

12 pages, Latex, 5 figures

Nucl.Phys. B564 (2000) 430-440

10.1016/S0550-3213(99)00532-5

SNUST 99-005, KIAS-P99034

hep-th

null

Thermodynamics of d=4, N=4 supersymmetric SU(N) Yang-Mills theory is studied with particular attention on perturbative expansion at weak `t Hooft coupling regime and interpolation to strong coupling regime thereof. Non-ideal gas effect to free-energy is calculated and found that leading- and next-to-leading-order corrections contribute with relative opposite sign. Pade approximant method is adopted to improve fixed-order, perturbative series and is found to decrease free-energy monotonically as `t Hooft coupling parameter is increased. This may be regarded as an indication of smooth interpolation of thermodynamics between weak and strong `t Hooft coupling regimes, as suggested by Maldacena's AdS/CFT correspondence.

[ { "created": "Thu, 27 May 1999 15:12:34 GMT", "version": "v1" } ]

2009-10-31

[ [ "Kim", "Chanju", "" ], [ "Rey", "Soo-Jong", "" ] ]

Thermodynamics of d=4, N=4 supersymmetric SU(N) Yang-Mills theory is studied with particular attention on perturbative expansion at weak `t Hooft coupling regime and interpolation to strong coupling regime thereof. Non-ideal gas effect to free-energy is calculated and found that leading- and next-to-leading-order corrections contribute with relative opposite sign. Pade approximant method is adopted to improve fixed-order, perturbative series and is found to decrease free-energy monotonically as `t Hooft coupling parameter is increased. This may be regarded as an indication of smooth interpolation of thermodynamics between weak and strong `t Hooft coupling regimes, as suggested by Maldacena's AdS/CFT correspondence.

9.141516

8.294518

9.245404

7.985976

8.547719

8.674755

8.380149

8.289799

7.994918

9.67412

8.525736

8.159564

8.437044

8.302666

8.066416

8.241423

8.130293

8.233778

8.132616

8.735251

8.015377

1912.03276

Alexey Milekhin

Juan Maldacena and Alexey Milekhin

SYK wormhole formation in real time

v1: 23 pages + appendices, 14 figures. v2: typos fixed, references added

null

hep-th cond-mat.str-el

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

We study the real time formation of the ground state of two coupled SYK models. This is a highly entangled state which is close to the thermofield double state and can be viewed as a wormhole. We start from a high temperature state, we let it cool by coupling to a cold bath. We numerically solve for the large N dynamics. Our main result is that the system forms a wormhole by going through a region with negative specific heat, taking time that is independent of N. The dynamics is smooth everywhere and it seems to follow the equilibrium thermodynamic configurations of the microcanonical ensemble. Also we comment on the relation between this coupled SYK model and Jackiw-Teitelboim gravity theory with bulk fields.

[ { "created": "Fri, 6 Dec 2019 18:16:24 GMT", "version": "v1" }, { "created": "Fri, 28 Aug 2020 23:01:39 GMT", "version": "v2" } ]

2020-09-01

[ [ "Maldacena", "Juan", "" ], [ "Milekhin", "Alexey", "" ] ]

We study the real time formation of the ground state of two coupled SYK models. This is a highly entangled state which is close to the thermofield double state and can be viewed as a wormhole. We start from a high temperature state, we let it cool by coupling to a cold bath. We numerically solve for the large N dynamics. Our main result is that the system forms a wormhole by going through a region with negative specific heat, taking time that is independent of N. The dynamics is smooth everywhere and it seems to follow the equilibrium thermodynamic configurations of the microcanonical ensemble. Also we comment on the relation between this coupled SYK model and Jackiw-Teitelboim gravity theory with bulk fields.

10.420403

9.880749

11.22146

9.511735

9.887918

10.475129

10.24315

10.006984

10.287044

11.868278

9.433494

10.04661

10.405227

9.937104

10.286038

10.271341

10.289322

10.342385

9.924815

10.107623

10.532322

1208.4910

Jun Nishimura

Jun Nishimura and Asato Tsuchiya

Local field theory from the expanding universe at late times in the IIB matrix model

11 pages; typos corrected (v2), revised argument in section 3 (v3)

null

10.1093/ptep/ptt015

KEK-TH-1565

hep-th hep-lat hep-ph

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

Recently we have shown that (3+1)-dimensional expanding universe appears dynamically and uniquely from the Lorentzian version of the IIB matrix model, which is considered as a nonperturbative formulation of superstring theory. Similarly, it is possible that the Standard Model appears uniquely at the electroweak scale from the same model at late times. In order to pursue such a possibility, we discuss how to derive the effective local field theory for the massless modes that appear at late times in the same formulation. As a concrete example, we consider the massless modes associated with the spontaneous breaking of (9+1)-dimensional Poincare symmetry and supersymmetry.

[ { "created": "Fri, 24 Aug 2012 06:42:05 GMT", "version": "v1" }, { "created": "Mon, 10 Sep 2012 08:20:25 GMT", "version": "v2" }, { "created": "Mon, 26 Nov 2012 06:54:13 GMT", "version": "v3" } ]

2016-06-21

[ [ "Nishimura", "Jun", "" ], [ "Tsuchiya", "Asato", "" ] ]

Recently we have shown that (3+1)-dimensional expanding universe appears dynamically and uniquely from the Lorentzian version of the IIB matrix model, which is considered as a nonperturbative formulation of superstring theory. Similarly, it is possible that the Standard Model appears uniquely at the electroweak scale from the same model at late times. In order to pursue such a possibility, we discuss how to derive the effective local field theory for the massless modes that appear at late times in the same formulation. As a concrete example, we consider the massless modes associated with the spontaneous breaking of (9+1)-dimensional Poincare symmetry and supersymmetry.

7.189215

6.629555

7.437176

6.466268

6.638865

6.95242

6.736297

6.276016

6.531652

7.667729

6.377357

6.635451

7.125242

6.902017

6.871278

7.057703

6.747968

6.79394

6.748349

6.97577

6.529881

hep-th/0202135

Rafael Hernandez

Rafael Hernandez, Konstadinos Sfetsos

An eight-dimensional approach to G_2 manifolds

16 pages, Latex. v2: Minor and cosmetic changes, and references added. Journal version

Phys.Lett. B536 (2002) 294-304

10.1016/S0370-2693(02)01862-2

null

hep-th math.DG

null

We develop a systematic approach to G_2 holonomy manifolds with an SU(2)xSU(2) isometry using maximal eight-dimensional gauged supergravity to describe D6-branes wrapped on deformed three-spheres. A quite general metric ansatz that generalizes the celebrated Bryant-Salamon metric involves nine functions. We show that only six of them are the independent ones and derive the general first order system of differential equations that they obey. As a byproduct of our analysis, we generalize the notion of the twist that relates the spin and gauge connections in a way that involves non-trivially the scalar fields.

[ { "created": "Wed, 20 Feb 2002 18:30:23 GMT", "version": "v1" }, { "created": "Sun, 28 Apr 2002 15:07:18 GMT", "version": "v2" } ]

2009-11-07

[ [ "Hernandez", "Rafael", "" ], [ "Sfetsos", "Konstadinos", "" ] ]

We develop a systematic approach to G_2 holonomy manifolds with an SU(2)xSU(2) isometry using maximal eight-dimensional gauged supergravity to describe D6-branes wrapped on deformed three-spheres. A quite general metric ansatz that generalizes the celebrated Bryant-Salamon metric involves nine functions. We show that only six of them are the independent ones and derive the general first order system of differential equations that they obey. As a byproduct of our analysis, we generalize the notion of the twist that relates the spin and gauge connections in a way that involves non-trivially the scalar fields.

11.145114

10.070065

12.44454

10.224146

9.785236

10.31333

10.273056

10.122887

9.920323

12.619859

10.116401

9.923623

11.016594

10.133584

9.988399

9.91138

10.258906

9.918384

9.912803

10.55835

10.164412

hep-th/9611117

Peter Johnson

P.R. Johnson

Exact quantum S-matrices for solitons in simply-laced affine Toda field theories

60 pages, latex

Nucl.Phys.B496:505-550,1997

10.1016/S0550-3213(97)00239-3

SWAT 95-96/115

hep-th

null

Exact solutions to the quantum S-matrices for solitons in simply-laced affine Toda field theories are obtained, except for certain factors of simple type which remain undetermined in some cases. These are found by postulating solutions which are consistent with the semi-classical limit, $\hbar\rightarrow 0$, and the known time delays for a classical two soliton interaction. This is done by a `$q$-deformation' procedure, to move from the classical time delay to the exact S-matrix, by inserting a special function called the `regularised' quantum dilogarithm, which only holds when $|q|=1$. It is then checked that the solutions satisfy the crossing, unitarity and bootstrap constraints of S-matrix theory. These properties essentially follow from analogous properties satisfied by the classical time delay. Furthermore, the lowest mass breather S-matrices are computed by the bootstrap, and it is shown that these agree with the particle S-matrices known already in the affine Toda field theories, in all simply-laced cases.

[ { "created": "Fri, 15 Nov 1996 16:54:24 GMT", "version": "v1" } ]

2008-11-26

[ [ "Johnson", "P. R.", "" ] ]

Exact solutions to the quantum S-matrices for solitons in simply-laced affine Toda field theories are obtained, except for certain factors of simple type which remain undetermined in some cases. These are found by postulating solutions which are consistent with the semi-classical limit, $\hbar\rightarrow 0$, and the known time delays for a classical two soliton interaction. This is done by a `$q$-deformation' procedure, to move from the classical time delay to the exact S-matrix, by inserting a special function called the `regularised' quantum dilogarithm, which only holds when $|q|=1$. It is then checked that the solutions satisfy the crossing, unitarity and bootstrap constraints of S-matrix theory. These properties essentially follow from analogous properties satisfied by the classical time delay. Furthermore, the lowest mass breather S-matrices are computed by the bootstrap, and it is shown that these agree with the particle S-matrices known already in the affine Toda field theories, in all simply-laced cases.

10.554855

10.935722

11.803043

10.383897

10.788127

10.904103

10.406246

10.65363

9.983212

11.344274

9.725642

10.277683

10.942982

10.162357

10.426475

10.437672

10.179498

10.275753

10.485711

10.830195

10.459477

hep-th/9801032

null

Sang-Jin Sin (Hanyang University)

The Super-potential and Holomorphic properties of the MQCD

14pages, latex, typos corrected

Nucl.Phys. B526 (1998) 432-442

10.1016/S0550-3213(98)00268-5

null

hep-th

null

We study the holomorphic properties of the MQCD by comparing the super-potentials in MQCD and the gauge theory. First we show that the super-potential defined as an integral of three form is NOT appropriate for generic situation with quarks. We report a resolution of the problem which works for the brane configurations of 90 degree rotation, including the true SQCD. The new definition does not need auxiliary surface and can be reduced to a contour integral for some cases. We find relation beetween the new and old definitions, which is verified by explicit calculation for SU(N), SO(N), Sp(N) simple groups with $F$ of massive quarks.

[ { "created": "Wed, 7 Jan 1998 19:01:35 GMT", "version": "v1" }, { "created": "Thu, 8 Jan 1998 18:03:34 GMT", "version": "v2" } ]

2009-10-31

[ [ "Sin", "Sang-Jin", "", "Hanyang University" ] ]

We study the holomorphic properties of the MQCD by comparing the super-potentials in MQCD and the gauge theory. First we show that the super-potential defined as an integral of three form is NOT appropriate for generic situation with quarks. We report a resolution of the problem which works for the brane configurations of 90 degree rotation, including the true SQCD. The new definition does not need auxiliary surface and can be reduced to a contour integral for some cases. We find relation beetween the new and old definitions, which is verified by explicit calculation for SU(N), SO(N), Sp(N) simple groups with $F$ of massive quarks.

21.189184

21.052149

20.624855

18.156187

20.262041

20.650249

20.333302

18.459587

18.474955

23.389244

18.588198

19.454037

19.84878

19.192389

19.633715

19.296692

20.238953

19.608971

19.328384

21.055075

18.83646

hep-th/0501193

Horacio E. Camblong

Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti, Carlos A. Garcia Canal, Carlos R. Ordonez

Effective Field Theory Program for Conformal Quantum Anomalies

15 pages. Expanded, with additional calculational details. To be published in Phys. Rev. A

Phys.Rev. A72 (2005) 032107

10.1103/PhysRevA.72.032107

null

hep-th quant-ph

null

The emergence of conformal states is established for any problem involving a domain of scales where the long-range, SO(2,1) conformally invariant interaction is applicable. Whenever a clear-cut separation of ultraviolet and infrared cutoffs is in place, this renormalization mechanism produces binding in the strong-coupling regime. A realization of this phenomenon, in the form of dipole-bound anions, is discussed.

[ { "created": "Mon, 24 Jan 2005 19:45:35 GMT", "version": "v1" }, { "created": "Sun, 14 Aug 2005 04:18:18 GMT", "version": "v2" } ]

2007-05-23

[ [ "Camblong", "Horacio E.", "" ], [ "Epele", "Luis N.", "" ], [ "Fanchiotti", "Huner", "" ], [ "Canal", "Carlos A. Garcia", "" ], [ "Ordonez", "Carlos R.", "" ] ]

The emergence of conformal states is established for any problem involving a domain of scales where the long-range, SO(2,1) conformally invariant interaction is applicable. Whenever a clear-cut separation of ultraviolet and infrared cutoffs is in place, this renormalization mechanism produces binding in the strong-coupling regime. A realization of this phenomenon, in the form of dipole-bound anions, is discussed.

22.402639

23.056145

24.938858

23.424217

22.31856

21.668844

26.159224

21.662642

22.424356

24.892385

22.690971

22.781948

23.142654

22.982866

22.150162

21.663261

21.574287

22.123493

22.119137

23.654007

23.413469

1404.7052

David Berenstein

Sketches of emergent geometry in the gauge/gravity duality

16 pages, contribution to the Corfu 2013 Proceedings

null

10.1002/prop.201400026

null

hep-th

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

In this paper three notions of emergent geometry arising from the study of gauge/gravity duals are discussed. The unifying theme behind these notions of emergent geometry is that one can derive properties of the effective action of a probe or excitation around some configuration in gauge theory which can be argued to be localized at a particular position in the gravity dual, and match this description to various degrees of accuracy in the gravity dual. The three examples discussed are giant gravitons in $AdS_5\times S^5$, open strings stretching between these giants and the probe dynamics of a D0 brane in the presence of a thermal matrix configuration of the BFSS matrix model.

[ { "created": "Mon, 28 Apr 2014 16:46:15 GMT", "version": "v1" } ]

2016-01-20

[ [ "Berenstein", "David", "" ] ]

In this paper three notions of emergent geometry arising from the study of gauge/gravity duals are discussed. The unifying theme behind these notions of emergent geometry is that one can derive properties of the effective action of a probe or excitation around some configuration in gauge theory which can be argued to be localized at a particular position in the gravity dual, and match this description to various degrees of accuracy in the gravity dual. The three examples discussed are giant gravitons in $AdS_5\times S^5$, open strings stretching between these giants and the probe dynamics of a D0 brane in the presence of a thermal matrix configuration of the BFSS matrix model.

11.262163

10.961949

12.934836

11.435342

11.489761

11.801872

11.509541

11.119495

11.148067

13.59164

11.635955

10.541436

11.561019

10.919963

10.814799

10.900542

10.852324

10.837073

10.771534

11.409832

10.448586

1510.01741

Xi Dong

Xi Dong, Daniel Z. Freedman, Yue Zhao

AdS/CFT and the Little Hierarchy Problem

17 pages, 8 figures

null

SU-ITP-15/14, MIT-CTP/4598, MCTP-15-21

hep-th hep-ph

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

The AdS/CFT correspondence is applied to a close analogue of the little hierarchy problem in $AdS_{d+1}$, $d \geq 3$. The new mechanism requires a Maxwell field that gauges a $U(1)_R$ symmetry in a bulk supergravity theory with a negative cosmological constant. Supersymmetry is explicitly broken by a non-local boundary term with dimensionless coupling $h$. Non-locality appears to cause no pathology, and the SUSY breaking deformation engendered is exactly marginal. SUSY breaking effects in the bulk are computed using the $U(1)$ Ward identity. Conformal dimensions and thus masses of scalar and spinor partners are split simply because they carry different R-charges. However SUSY breaking effects cancel to all orders for R-neutral fields, even in diagrams with internal R-charged loops. SUSY breaking corrections can be summed to all orders in $h$. Diagrams involving graviton loops do not introduce any further SUSY breaking corrections. A possible scenario for a flat spacetime limit is outlined.

[ { "created": "Tue, 6 Oct 2015 20:05:42 GMT", "version": "v1" } ]

2015-10-08

[ [ "Dong", "Xi", "" ], [ "Freedman", "Daniel Z.", "" ], [ "Zhao", "Yue", "" ] ]

The AdS/CFT correspondence is applied to a close analogue of the little hierarchy problem in $AdS_{d+1}$, $d \geq 3$. The new mechanism requires a Maxwell field that gauges a $U(1)_R$ symmetry in a bulk supergravity theory with a negative cosmological constant. Supersymmetry is explicitly broken by a non-local boundary term with dimensionless coupling $h$. Non-locality appears to cause no pathology, and the SUSY breaking deformation engendered is exactly marginal. SUSY breaking effects in the bulk are computed using the $U(1)$ Ward identity. Conformal dimensions and thus masses of scalar and spinor partners are split simply because they carry different R-charges. However SUSY breaking effects cancel to all orders for R-neutral fields, even in diagrams with internal R-charged loops. SUSY breaking corrections can be summed to all orders in $h$. Diagrams involving graviton loops do not introduce any further SUSY breaking corrections. A possible scenario for a flat spacetime limit is outlined.

10.937937

11.838535

11.955503

10.793532

11.690036

11.362738

11.675262

11.248483

10.801404

12.573709

11.459797

11.178035

11.289542

10.725052

11.023903

10.906751

10.962877

10.831669

10.777434

11.124813

10.749222

hep-th/0108027

Jamila Douari

J. Douari and El H. El Kinani

Spin-Magnetic Field Interaction and Realization of Fractional Supersymmetry

5 pages

Acta Phys.Slov. 51 (2001) 183

null

hep-th

null

The fractional supersymmetry in the case of the non-relativistic motion of one anyon with fractional spin is realized. Thus the associated Hamiltonian is discussed.

[ { "created": "Mon, 6 Aug 2001 13:19:47 GMT", "version": "v1" } ]

2007-05-23

[ [ "Douari", "J.", "" ], [ "Kinani", "El H. El", "" ] ]

The fractional supersymmetry in the case of the non-relativistic motion of one anyon with fractional spin is realized. Thus the associated Hamiltonian is discussed.

26.276791

18.1742

29.271862

17.043196

20.759378

22.034803

20.526037

16.416782

18.222939

29.681061

18.642073

19.718435

28.367245

19.50901

19.415628

19.568502

19.798285

21.525263

21.346512

28.326971

19.838503

2405.19502

Pavel Spirin

Yuri V. Grats, Pavel Spirin

Vacuum Polarization Effects of Pointlike Impurity

23 pages, 5 figures, 2 tables

null

hep-th

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

We develop precise formulation for the effects of vacuum polarization near a pointlike source with a zero-range ($\delta$-like) potential in three spatial dimensions. There are different ways of introducing $\delta$-interaction in the framework of quantum theory. We discuss the approach based on the concept of self-adjoint extensions of densely defined symmetric operators. Within this approach we consider the real massive scalar field in three-dimensional Euclidean space with a single extracted point. Appropriate boundary conditions imposed at this point enable one to consider all self-adjoint extensions of $- \Delta$ as operators which can describe a pointlike source with a zero-range potential. In this framework we compute the renormalized vacuum expectation value of the field square $\langle \phi^{ 2}(x)\rangle_{\rm ren}$ and the renormalized vacuum average of the scalar-field's energy-momentum tensor $\langle T_{\mu\nu}(x)\rangle_{\rm ren}$. Asymptotic cases are discussed in detail.

[ { "created": "Wed, 29 May 2024 20:28:40 GMT", "version": "v1" } ]

2024-05-31

[ [ "Grats", "Yuri V.", "" ], [ "Spirin", "Pavel", "" ] ]

We develop precise formulation for the effects of vacuum polarization near a pointlike source with a zero-range ($\delta$-like) potential in three spatial dimensions. There are different ways of introducing $\delta$-interaction in the framework of quantum theory. We discuss the approach based on the concept of self-adjoint extensions of densely defined symmetric operators. Within this approach we consider the real massive scalar field in three-dimensional Euclidean space with a single extracted point. Appropriate boundary conditions imposed at this point enable one to consider all self-adjoint extensions of $- \Delta$ as operators which can describe a pointlike source with a zero-range potential. In this framework we compute the renormalized vacuum expectation value of the field square $\langle \phi^{ 2}(x)\rangle_{\rm ren}$ and the renormalized vacuum average of the scalar-field's energy-momentum tensor $\langle T_{\mu\nu}(x)\rangle_{\rm ren}$. Asymptotic cases are discussed in detail.

7.320906

7.519075

7.077464

7.373639

8.152312

8.215937

7.873105

6.946905

7.095743

8.024841

7.333896

7.301099

7.286241

7.071061

7.283969

7.083308

7.312

7.086493

7.272372

7.233407

6.985521

1409.3933

Ali Eghbali

Solution of the equations of motion for a super non-Abelian sigma model in curved background by the super Poisson-Lie T-duality

21 pages

JHEP 02 (2015) 025

10.1007/JHEP02(2015)025

null

hep-th math-ph math.MP

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

The equations of motion of a super non-Abelian T-dual sigma model on the Lie supergroup $(C^1_1+A)$ in the curved background are explicitly solved by the super Poisson-Lie T-duality. To find the solution of the flat model we use the transformation of supercoordinates, transforming the metric into a constant one, which is shown to be a supercanonical transformation. Then, using the super Poisson-Lie T-duality transformations and the dual decomposition of elements of Drinfel'd superdouble, the solution of the equations of motion for the dual sigma model is obtained. The general form of the dilaton fields satisfying the vanishing $\beta-$function equations of the sigma models is found. In this respect, conformal invariance of the sigma models built on the Drinfel'd superdouble $((C^1_1+A),I_{(2|2)})$ is guaranteed up to one-loop, at least.

[ { "created": "Sat, 13 Sep 2014 10:28:02 GMT", "version": "v1" }, { "created": "Wed, 4 Feb 2015 13:17:54 GMT", "version": "v2" } ]

2015-06-22

[ [ "Eghbali", "Ali", "" ] ]

The equations of motion of a super non-Abelian T-dual sigma model on the Lie supergroup $(C^1_1+A)$ in the curved background are explicitly solved by the super Poisson-Lie T-duality. To find the solution of the flat model we use the transformation of supercoordinates, transforming the metric into a constant one, which is shown to be a supercanonical transformation. Then, using the super Poisson-Lie T-duality transformations and the dual decomposition of elements of Drinfel'd superdouble, the solution of the equations of motion for the dual sigma model is obtained. The general form of the dilaton fields satisfying the vanishing $\beta-$function equations of the sigma models is found. In this respect, conformal invariance of the sigma models built on the Drinfel'd superdouble $((C^1_1+A),I_{(2|2)})$ is guaranteed up to one-loop, at least.

8.744622

9.371877

10.633218

8.111748

8.246066

8.438513

9.161657

8.431112

8.489497

11.075071

8.494257

8.633123

9.366312

8.633789

8.736501

8.442816

8.440579

8.693101

8.550701

9.371687

8.57604

hep-th/9912102

null

O. Kenneth

Generalized Casimir Energies for systems with arbitrary ($\epsilon(z)$) planar geometry

9 pages, latex

null

hep-th

null

The Casimir force between parallel plates of arbitrary kind is shown to be simply related to the plates transmission and reflection coefficient. A trivial application of this general relation leads to the known Lifshitz force between dielectrics as well as its generalizations.

[ { "created": "Mon, 13 Dec 1999 15:09:11 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kenneth", "O.", "" ] ]

The Casimir force between parallel plates of arbitrary kind is shown to be simply related to the plates transmission and reflection coefficient. A trivial application of this general relation leads to the known Lifshitz force between dielectrics as well as its generalizations.

16.846235

16.878925

16.787113

13.807579

15.288367

17.171946

16.890171

15.971423

12.915862

16.35607

15.233943

16.843147

15.636939

15.665626

16.450037

16.199934

15.132511

17.304489

14.942529

16.835052

15.048121

2210.05768

Francesco Bascone

Francesco Bascone, Franco Pezzella, Patrizia Vitale

On the classical Integrability of Poisson-Lie T-dual WZW models

20 pages

null

10.1007/JHEP01(2023)127

null

hep-th math-ph math.MP

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

We consider the integrability of a two-parameter deformation of the Wess-Zumino-Witten model, previously introduced in relation with Poisson-Lie T-duality. The resulting family of Poisson-Lie dual models is shown to be integrable by using the Maillet r/s formalism.

[ { "created": "Tue, 11 Oct 2022 20:18:11 GMT", "version": "v1" } ]

2023-02-08

[ [ "Bascone", "Francesco", "" ], [ "Pezzella", "Franco", "" ], [ "Vitale", "Patrizia", "" ] ]

We consider the integrability of a two-parameter deformation of the Wess-Zumino-Witten model, previously introduced in relation with Poisson-Lie T-duality. The resulting family of Poisson-Lie dual models is shown to be integrable by using the Maillet r/s formalism.

8.711164

7.9195

11.352023

7.044585

7.732796

7.924975

7.115347

8.21608

7.225314

10.862123

7.577045

7.819

9.516676

7.917139

7.958203

7.673367

7.596746

7.886553

7.689419

9.178136

7.733102

hep-th/9803024

Anne Taormina

P. Bowcock, M. Hayes, A. Taormina

Parafermionic Representation of the Affine $sl(2/1)$ Algebra at Fractional Level

5 pages, Latex 2e

Phys.Lett. B468 (1999) 239-243

10.1016/S0370-2693(99)01251-4

DTP/98/5

hep-th

null

The four fermionic currents of the affine superalgebra $sl(2/1)$ at fractional level $k=1/u-1$, u positive integer, are shown to be realised in terms of a free scalar field, an $sl(2)$ doublet field and a primary field of the parafermionic algebra $Z_{u-1}$.

[ { "created": "Tue, 3 Mar 1998 17:55:30 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bowcock", "P.", "" ], [ "Hayes", "M.", "" ], [ "Taormina", "A.", "" ] ]

The four fermionic currents of the affine superalgebra $sl(2/1)$ at fractional level $k=1/u-1$, u positive integer, are shown to be realised in terms of a free scalar field, an $sl(2)$ doublet field and a primary field of the parafermionic algebra $Z_{u-1}$.

9.146318

7.390119

11.248422

6.580587

7.706446

7.651063

7.232674

6.331765

6.904787

9.61556

6.920209

7.329655

9.992161

7.798461

7.622399

7.547605

7.588868

7.679484

7.608141

10.680108

7.445836

1805.02149

Peter M. Lavrov

Gauge (in)dependence and background field formalism

14 pages, v2: typos corrected, v3:minor correction in Eqs. (2.24), v4: a reference added, misprints corrected, accepted for publication in PLB

null

10.1016/j.physletb.2019.03.009

null

hep-th

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

It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate the functional renormalization group approach is discussed. It is proven that there is a possibility to construct the corresponding average effective action invariant under the gauge transformations of background vector field. Nevertheless, being gauge invariant this action remains gauge dependent on-shell.

[ { "created": "Sun, 6 May 2018 05:02:27 GMT", "version": "v1" }, { "created": "Fri, 11 May 2018 13:18:55 GMT", "version": "v2" }, { "created": "Tue, 11 Sep 2018 08:04:40 GMT", "version": "v3" }, { "created": "Fri, 18 Jan 2019 14:14:14 GMT", "version": "v4" }, { "created": "Wed, 6 Mar 2019 13:14:27 GMT", "version": "v5" } ]

2019-05-01

[ [ "Lavrov", "Peter M.", "" ] ]

It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate the functional renormalization group approach is discussed. It is proven that there is a possibility to construct the corresponding average effective action invariant under the gauge transformations of background vector field. Nevertheless, being gauge invariant this action remains gauge dependent on-shell.

11.797645

9.650866

10.221394

9.258906

9.559706

8.74143

9.333344

9.448223

8.806446

10.452662

9.483537

9.602666

10.0655

9.195843

9.9291

9.325822

9.87115

9.346336

9.334275

9.406276

9.570472

hep-th/0103063

Ashok Das

Ashok Das and Ziemowit Popowicz

Properties of Moyal-Lax Representation

11 pages, references added, version to be published in Phys. Letters B

Phys.Lett.B510:264-270,2001

10.1016/S0370-2693(01)00561-5

null

hep-th nlin.SI

null

The Moyal-Lax representation and the Moyal momentum algebra are introduced and systematically investigated. It is shown that the Moyal-Lax equation can be interpreted as a Hamiltonian equation and can be derived from an action. We show that the parameter of non-commutativity, in this case, is related to the central charge of the second Hamiltonian structure of the system. The Moyal-Lax description leads in a natural manner to the dispersionless limit and provides the second Hamiltonian structure of dispersionless integrable models, which has been an open question for sometime.

[ { "created": "Fri, 9 Mar 2001 14:44:10 GMT", "version": "v1" }, { "created": "Thu, 3 May 2001 15:55:01 GMT", "version": "v2" } ]

2011-07-19

[ [ "Das", "Ashok", "" ], [ "Popowicz", "Ziemowit", "" ] ]

The Moyal-Lax representation and the Moyal momentum algebra are introduced and systematically investigated. It is shown that the Moyal-Lax equation can be interpreted as a Hamiltonian equation and can be derived from an action. We show that the parameter of non-commutativity, in this case, is related to the central charge of the second Hamiltonian structure of the system. The Moyal-Lax description leads in a natural manner to the dispersionless limit and provides the second Hamiltonian structure of dispersionless integrable models, which has been an open question for sometime.

8.521318

6.290011

9.180552

6.984449

7.975838

8.238255

8.33356

6.56604

7.35676

8.932757

7.163397

7.294441

8.332822

7.479928

7.675488

7.572802

7.490968

7.579846

7.490645

8.393544

7.543596

2301.05878

Safinaz Salem Ms

Safinaz R. Salem

Investigations In Higher Dimensional Gravity Theory

PhD thesis, 189 pages, 75 figures

null

hep-th

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

In this thesis we study BPS 3-brane embedded in five dimensional $\mathcal{N}=2$ supergravity. We have found that when modeling our universe as a brane world filled with matter, radiation and/or pure energy, the time evolution of the brane world is strongly correlated to the complex structure moduli of the underlying Calabi-Yau manifold. Moreover most solutions exhibit an early time inflation and late time acceleration, which means our universe's whole cosmological history may be explained by only the bulk effects, without introducing an inflation field or even cosmological constant term in some cases. The constructed solutions are numeric and have been manifested analytically as well. Finally, since our solutions to the field equations are constrained by how far we know about the Calabi-Yau manifold itself, we have studied the solely time dependence of the complex structure moduli and the metric of the complex structure space in case the dimension of the complex structure space of the Calabi-Yau manifold $h_{(2,1)} = 1$ .

[ { "created": "Sat, 14 Jan 2023 10:12:10 GMT", "version": "v1" } ]

2023-01-18

[ [ "Salem", "Safinaz R.", "" ] ]

In this thesis we study BPS 3-brane embedded in five dimensional $\mathcal{N}=2$ supergravity. We have found that when modeling our universe as a brane world filled with matter, radiation and/or pure energy, the time evolution of the brane world is strongly correlated to the complex structure moduli of the underlying Calabi-Yau manifold. Moreover most solutions exhibit an early time inflation and late time acceleration, which means our universe's whole cosmological history may be explained by only the bulk effects, without introducing an inflation field or even cosmological constant term in some cases. The constructed solutions are numeric and have been manifested analytically as well. Finally, since our solutions to the field equations are constrained by how far we know about the Calabi-Yau manifold itself, we have studied the solely time dependence of the complex structure moduli and the metric of the complex structure space in case the dimension of the complex structure space of the Calabi-Yau manifold $h_{(2,1)} = 1$ .

12.599295

12.09348

13.706103

11.964308

12.569026

13.054508

12.622431

11.922151

11.592067

13.352519

11.318517

11.860742

12.496625

11.822225

11.658791

11.58393

11.75161

11.989382

11.762188

12.709828

11.725775

hep-th/0312327

Michael McGuigan

Three Dimensional Gravity and M-Theory

36 pages, 1 figure

null

hep-th

null

It is well known that string theory can be formulated as two dimensional gravity coupled to matter. In the 2d gravity formulation the central charge of the matter together with a hidden dimension from the conformal factor or Liouville mode determines the Target space dimension. Also the vacuum amplitude of the 2d gravity formulation implies important constraints on the Target space theory associated with modular invariance. In this paper we study a three dimensional gravity approach to M-theory. We find that there are three hidden Liouville type fields coming from the 3d gravity sector and that these together with the number of zero modes of the matter fields determine an eleven dimensional Target space of M theory. We investigate the perturbative vacuum amplitude for the 3d gravity approach to M theory and constraints imposed from SL(3,Z) modular invariance using a method of Dolan and Nappi together with a sum over spin structures which generalizes the SL(2,Z) invariance found in string theory. To introduce gauge fields in M-theory we study the vacuum amplitude on a three annulus and introduce interactions with two dimensional matter on a boundary in analogy with the introduction of gauge fields for open string theory. We study a three dimensional version of M-theory from the 3d gravity perspective and show how it relates to two dimensional type 0A string theory described by a 2d superLiouville theory with c=1 matter and, on manifolds with boundary, to a E8xSO(8) 2d heterotic string. We discuss a nonperturbative 3d gravity approach to M-theory and the expansion about e=0 in the Chern-Simons gauge formulation of the theory. Finally we study the interaction of fermionic matter with 3d gravity to investigate the origins of conformal dimension and Liouville effective action from a 3d gravity approach.

[ { "created": "Wed, 31 Dec 2003 17:14:46 GMT", "version": "v1" }, { "created": "Fri, 2 Jan 2004 15:21:07 GMT", "version": "v2" } ]

2007-05-23

[ [ "McGuigan", "Michael", "" ] ]

It is well known that string theory can be formulated as two dimensional gravity coupled to matter. In the 2d gravity formulation the central charge of the matter together with a hidden dimension from the conformal factor or Liouville mode determines the Target space dimension. Also the vacuum amplitude of the 2d gravity formulation implies important constraints on the Target space theory associated with modular invariance. In this paper we study a three dimensional gravity approach to M-theory. We find that there are three hidden Liouville type fields coming from the 3d gravity sector and that these together with the number of zero modes of the matter fields determine an eleven dimensional Target space of M theory. We investigate the perturbative vacuum amplitude for the 3d gravity approach to M theory and constraints imposed from SL(3,Z) modular invariance using a method of Dolan and Nappi together with a sum over spin structures which generalizes the SL(2,Z) invariance found in string theory. To introduce gauge fields in M-theory we study the vacuum amplitude on a three annulus and introduce interactions with two dimensional matter on a boundary in analogy with the introduction of gauge fields for open string theory. We study a three dimensional version of M-theory from the 3d gravity perspective and show how it relates to two dimensional type 0A string theory described by a 2d superLiouville theory with c=1 matter and, on manifolds with boundary, to a E8xSO(8) 2d heterotic string. We discuss a nonperturbative 3d gravity approach to M-theory and the expansion about e=0 in the Chern-Simons gauge formulation of the theory. Finally we study the interaction of fermionic matter with 3d gravity to investigate the origins of conformal dimension and Liouville effective action from a 3d gravity approach.

9.616877

9.668262

10.672629

9.277231

9.805659

9.666839

9.749509

9.512365

9.291739

10.516727

9.619543

9.542501

9.810563

9.467469

9.513572

9.447669

9.571096

9.409035

9.591801

9.715297

9.234784

1703.06523

Daniel Kabat

Daniel Kabat, Gilad Lifschytz

Local bulk physics from intersecting modular Hamiltonians

28 pages, LaTeX. v2: additional discussion of extended modular Hamiltonian. v3: version to appear in JHEP

null

10.1007/JHEP06(2017)120

null

hep-th

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

We show that bulk quantities localized on a minimal surface homologous to a boundary region correspond in the CFT to operators that commute with the modular Hamiltonian associated with the boundary region. If two such minimal surfaces intersect at a point in the bulk then CFT operators which commute with both extended modular Hamiltonians must be localized at the intersection point. We use this to construct local bulk operators purely from CFT considerations, without knowing the bulk metric, using intersecting modular Hamiltonians. For conformal field theories at zero and finite temperature the appropriate modular Hamiltonians are known explicitly and we recover known expressions for local bulk observables.

[ { "created": "Sun, 19 Mar 2017 21:58:35 GMT", "version": "v1" }, { "created": "Wed, 19 Apr 2017 11:07:28 GMT", "version": "v2" }, { "created": "Fri, 16 Jun 2017 15:21:01 GMT", "version": "v3" } ]

2017-08-02

[ [ "Kabat", "Daniel", "" ], [ "Lifschytz", "Gilad", "" ] ]

We show that bulk quantities localized on a minimal surface homologous to a boundary region correspond in the CFT to operators that commute with the modular Hamiltonian associated with the boundary region. If two such minimal surfaces intersect at a point in the bulk then CFT operators which commute with both extended modular Hamiltonians must be localized at the intersection point. We use this to construct local bulk operators purely from CFT considerations, without knowing the bulk metric, using intersecting modular Hamiltonians. For conformal field theories at zero and finite temperature the appropriate modular Hamiltonians are known explicitly and we recover known expressions for local bulk observables.

10.028797

9.210947

10.707882

8.228687

8.966897

8.347496

8.807137

8.05544

8.462531

11.296485

8.923858

8.852261

9.890092

8.558302

8.612293

8.742173

9.022129

8.750754

8.570374

10.210599

8.785468

1611.06340

Koichi Murakami

Nobuyuki Ishibashi, Koichi Murakami

Multiloop Amplitudes of Light-cone Gauge NSR String Field Theory in Noncritical Dimensions

38 pages, 6 figures

null

10.1007/JHEP01(2017)034

UTHEP-693

hep-th

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

Feynman amplitudes of light-cone gauge superstring field theory are ill-defined because of various divergences. In a previous paper, one of the authors showed that taking the worldsheet theory to be the one in a linear dilaton background $\Phi=-iQX^{1}$ with Feynman $i\varepsilon$ $(\varepsilon>0)$ and $Q^{2}>10$ yields finite amplitudes. In this paper, we apply this worldsheet theory to dimensional regularization of the light-cone gauge NSR superstring field theory. We concentrate on the amplitudes for even spin structure with external lines in the (NS,NS) sector. We show that the multiloop amplitudes are indeed regularized in our scheme and that they coincide with the results in the first-quantized formalism through the analytic continuation $Q\to0$.

[ { "created": "Sat, 19 Nov 2016 11:04:43 GMT", "version": "v1" } ]

2017-02-01

[ [ "Ishibashi", "Nobuyuki", "" ], [ "Murakami", "Koichi", "" ] ]

Feynman amplitudes of light-cone gauge superstring field theory are ill-defined because of various divergences. In a previous paper, one of the authors showed that taking the worldsheet theory to be the one in a linear dilaton background $\Phi=-iQX^{1}$ with Feynman $i\varepsilon$ $(\varepsilon>0)$ and $Q^{2}>10$ yields finite amplitudes. In this paper, we apply this worldsheet theory to dimensional regularization of the light-cone gauge NSR superstring field theory. We concentrate on the amplitudes for even spin structure with external lines in the (NS,NS) sector. We show that the multiloop amplitudes are indeed regularized in our scheme and that they coincide with the results in the first-quantized formalism through the analytic continuation $Q\to0$.

8.287439

6.445854

8.828276

6.988724

6.823035

6.669083

7.002068

6.618656

7.097413

9.524073

6.96152

7.454913

8.13006

7.48849

7.489901

7.458114

7.196803

7.189662

7.378311

7.970658

7.673219

1403.3152

Tib\'erio de Paula Netto

Tiberio de Paula Netto and Ilya L. Shapiro

Vacuum contribution of photons in the theory with Lorentz and CPT-violating terms

15 pages

Phys. Rev. D 89, 104037 (2014)

10.1103/PhysRevD.89.104037

null

hep-th

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

The photon contribution to the divergences and conformal anomaly in the theory with Lorentz and CPT-violating terms is evaluated. We calculate one-loop counterterms coming from the integration over electromagnetic field and check that they possess local conformal invariance. Furthermore, conformal anomaly and anomaly-induced effective action are calculated. It turns out that the new terms do not affect the dynamics of conformal factor in the anomaly-driven inflation (Starobinsky model) and its extensions. At the same time, one can expect these terms to affect gravitational wave equation and, in general, cosmic perturbations.

[ { "created": "Thu, 13 Mar 2014 02:58:21 GMT", "version": "v1" } ]

2014-05-28

[ [ "Netto", "Tiberio de Paula", "" ], [ "Shapiro", "Ilya L.", "" ] ]

The photon contribution to the divergences and conformal anomaly in the theory with Lorentz and CPT-violating terms is evaluated. We calculate one-loop counterterms coming from the integration over electromagnetic field and check that they possess local conformal invariance. Furthermore, conformal anomaly and anomaly-induced effective action are calculated. It turns out that the new terms do not affect the dynamics of conformal factor in the anomaly-driven inflation (Starobinsky model) and its extensions. At the same time, one can expect these terms to affect gravitational wave equation and, in general, cosmic perturbations.

12.247208

11.767664

12.370143

11.287551

11.258332

11.827427

11.238867

10.895226

12.252584

12.790421

11.331902

11.63093

11.87053

11.668983

12.045959

11.270213

12.44303

11.399008

12.010975

11.666635

11.444028

1704.00821

Majid Dehghani

Deep Inelastic Scattering off a Plasma with a Background Magnetic Field

15 pages, 4 figures, Minor revision

null

hep-th

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

Using holography, we analyse deep inelastic scattering of a flavor current from a strongly coupled quark-gluon plasma with a background magnetic field. The aim is to show how the magnetic field affects the partonic picture of the plasma. The flavored constituents of the plasma are described using D3-D7 brane model at finite temperature. We find that the presence of a background magnetic field makes it harder to detect the plasma constituents. Our calculations are in agreement with those calculated from other approaches. Besides the resulting changes for plasma structure functions a criteria will be obtained for the possibility of deep inelastic process in the presence of magnetic field.

[ { "created": "Mon, 3 Apr 2017 21:48:15 GMT", "version": "v1" }, { "created": "Thu, 8 Mar 2018 22:37:07 GMT", "version": "v2" } ]

2018-03-12

[ [ "Dehghani", "Majid", "" ] ]

Using holography, we analyse deep inelastic scattering of a flavor current from a strongly coupled quark-gluon plasma with a background magnetic field. The aim is to show how the magnetic field affects the partonic picture of the plasma. The flavored constituents of the plasma are described using D3-D7 brane model at finite temperature. We find that the presence of a background magnetic field makes it harder to detect the plasma constituents. Our calculations are in agreement with those calculated from other approaches. Besides the resulting changes for plasma structure functions a criteria will be obtained for the possibility of deep inelastic process in the presence of magnetic field.

11.894442

10.835835

10.73481

10.563274

10.406266

10.641174

10.363865

10.711599

9.89395

10.880162

10.328796

10.06453

10.739615

10.622042

10.409661

10.394546

10.075395

10.440399

10.4054

10.536903

10.400155

hep-th/9506211

Claudio Coriano

Claudio Coriano' and Rajesh R. Parwani

The Electric Charge of a Dirac Monopole at Nonzero Temperature

7 pages in latex, 1 postscript figure

Phys.Lett.B363:71-75,1995

10.1016/0370-2693(95)01185-S

ANL-HEP-PR-95-46,IP/BBSR/95-62

hep-th

null

We study the effect of nonzero temperature on the induced electric charge around a Dirac monopole. While at zero temperature the charge is known to be proportional to a CP violating $\theta$ parameter, we find that at high temperature the charge is proportional to sin $\theta$. Other features of the charge at nonzero temperature are discussed. We also compute the induced charge at nonzero temperature around an Aharonov-Bohm flux string in $2+1$ dimensions and compare the result with an index theorem, and also with the electron-monopole problem in $3+1$ dimensions.

[ { "created": "Sat, 1 Jul 1995 04:16:51 GMT", "version": "v1" } ]

2014-11-18

[ [ "Coriano'", "Claudio", "" ], [ "Parwani", "Rajesh R.", "" ] ]

We study the effect of nonzero temperature on the induced electric charge around a Dirac monopole. While at zero temperature the charge is known to be proportional to a CP violating $\theta$ parameter, we find that at high temperature the charge is proportional to sin $\theta$. Other features of the charge at nonzero temperature are discussed. We also compute the induced charge at nonzero temperature around an Aharonov-Bohm flux string in $2+1$ dimensions and compare the result with an index theorem, and also with the electron-monopole problem in $3+1$ dimensions.

7.165539

6.775461

7.057727

6.397243

6.440536

6.953069

6.198282

5.860415

6.170404

7.522579

6.235919

6.684907

6.958054

6.675962

6.905406

6.626096

6.702676

6.667343

6.636479

6.93782

6.773381

1307.4087

Wei Li

Matthias R. Gaberdiel, Kewang Jin and Wei Li

Perturbations of W(infinity) CFTs

38 pages, 1 figure; v2: minor additions and Fig.1. colored

JHEP 1310:162,2013

10.1007/JHEP10(2013)162

null

hep-th

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

The holographic duals of higher spin theories on AdS_3 are described by the large N limit of a family of minimal model CFTs, whose symmetry algebra is equivalent to W(infinity)[lambda]. We study perturbations of these limit theories, and show that they possess a marginal symmetry-preserving perturbation that describes switching on the 1/N corrections. We also test our general results for the specific cases of lambda=0,1, where free field realisations are available.

[ { "created": "Mon, 15 Jul 2013 20:00:03 GMT", "version": "v1" }, { "created": "Mon, 21 Oct 2013 16:01:43 GMT", "version": "v2" } ]

2015-06-16

[ [ "Gaberdiel", "Matthias R.", "" ], [ "Jin", "Kewang", "" ], [ "Li", "Wei", "" ] ]

The holographic duals of higher spin theories on AdS_3 are described by the large N limit of a family of minimal model CFTs, whose symmetry algebra is equivalent to W(infinity)[lambda]. We study perturbations of these limit theories, and show that they possess a marginal symmetry-preserving perturbation that describes switching on the 1/N corrections. We also test our general results for the specific cases of lambda=0,1, where free field realisations are available.

10.929025

10.736666

12.858753

9.875133

11.402291

11.055665

10.122623

11.387708

10.374817

13.568076

10.803853

11.121129

12.003497

10.542068

11.008134

10.889759

11.346589

10.913654

10.967829

12.769872

10.821695

1809.10148

Sungbong Chun

Miranda C. N. Cheng, Sungbong Chun, Francesca Ferrari, Sergei Gukov, Sarah M. Harrison

3d Modularity

119 pages, 10 figures and 20 tables

null

10.1007/JHEP10(2019)010

CALT-TH-2018-037

hep-th math.GT math.NT math.QA math.RT

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

We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d $\mathcal{N}=2$ theories where such structures a priori are not manifest. These modular structures include: mock modular forms, $SL(2,\mathbb{Z})$ Weil representations, quantum modular forms, non-semisimple modular tensor categories, and chiral algebras of logarithmic CFTs.

[ { "created": "Wed, 26 Sep 2018 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 27 May 2020 06:18:39 GMT", "version": "v2" } ]

2020-05-28

[ [ "Cheng", "Miranda C. N.", "" ], [ "Chun", "Sungbong", "" ], [ "Ferrari", "Francesca", "" ], [ "Gukov", "Sergei", "" ], [ "Harrison", "Sarah M.", "" ] ]

We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d $\mathcal{N}=2$ theories where such structures a priori are not manifest. These modular structures include: mock modular forms, $SL(2,\mathbb{Z})$ Weil representations, quantum modular forms, non-semisimple modular tensor categories, and chiral algebras of logarithmic CFTs.

9.723317

8.976583

11.536428

7.924815

9.068309

8.40928

9.110168

9.009456

8.50286

10.898311

8.723536

8.1938

10.064969

8.412573

8.43512

8.113094

8.661378

8.019224

8.110123

9.82788

8.374904

1706.04272

Felix Kling

Felix Kling and Arvind Rajaraman

Towards an Analytic Construction of the Wavefunction of Boson Stars

9 pages

Phys. Rev. D 96, 044039 (2017)

10.1103/PhysRevD.96.044039

UCI-HEP-TR-2017-04

hep-th astro-ph.CO gr-qc

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

Light scalar fields can form gravitationally bound compact objects called boson stars. The profile of boson stars in the Newtonian limit is described by the Gross-Pitaevskii-Poisson equations. We present a semi-analytic solution to these equations and construct the profile of boson stars formed by a non-interacting scalar field. Our solution is stable with respect to numerical errors and has accuracy better than $10^{-6}$ over the entire range.

[ { "created": "Tue, 13 Jun 2017 22:49:31 GMT", "version": "v1" }, { "created": "Thu, 11 Jan 2018 17:27:02 GMT", "version": "v2" } ]

2018-01-12

[ [ "Kling", "Felix", "" ], [ "Rajaraman", "Arvind", "" ] ]

Light scalar fields can form gravitationally bound compact objects called boson stars. The profile of boson stars in the Newtonian limit is described by the Gross-Pitaevskii-Poisson equations. We present a semi-analytic solution to these equations and construct the profile of boson stars formed by a non-interacting scalar field. Our solution is stable with respect to numerical errors and has accuracy better than $10^{-6}$ over the entire range.

6.252173

6.256517

5.641375

5.36173

5.975613

6.812752

6.562455

5.542586

5.793747

6.308947

5.940557

6.378828

5.905973

6.034286

6.077772

5.97757

6.384379

6.261912

6.304424

6.313337

6.419586

hep-th/0005027

Lukyanov Sergei

S. Lukyanov

Finite temperature expectation values of local fields in the sinh-Gordon model

24 pages, harvmac.tex

Nucl.Phys. B612 (2001) 391-412

10.1016/S0550-3213(01)00365-0

RUNHETC-2000-17

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

null

Sklyanin's method of separation of variables is employed in a calculation of finite temperature expectation values. An essential element of the approach is Baxter's $Q$-function. We propose its explicit form corresponding to the ground state of the sinh-Gordon theory. With the method of separation of variables we calculate the finite temperature expectation values of the exponential fields to one-loop order of the semi-classical expansion.

[ { "created": "Tue, 2 May 2000 23:03:43 GMT", "version": "v1" } ]

2009-10-31

[ [ "Lukyanov", "S.", "" ] ]

Sklyanin's method of separation of variables is employed in a calculation of finite temperature expectation values. An essential element of the approach is Baxter's $Q$-function. We propose its explicit form corresponding to the ground state of the sinh-Gordon theory. With the method of separation of variables we calculate the finite temperature expectation values of the exponential fields to one-loop order of the semi-classical expansion.

10.476123

8.171999

9.535433

8.30808

8.523687

7.782578

8.50056

8.39973

8.334678

9.686476

8.264851

8.449284

9.151461

8.558201

8.398269

8.592344

8.224432

8.171446

8.322858

9.122219

8.541553

1002.2228

Zohar Komargodski

Zohar Komargodski and Nathan Seiberg

Comments on Supercurrent Multiplets, Supersymmetric Field Theories and Supergravity

27 pages. v2: references added and minor changes. v3: minor changes. v4: minor clarifications

JHEP 1007:017,2010

10.1007/JHEP07(2010)017

null

hep-th

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

We analyze various supersymmetry multiplets containing the supercurrent and the energy-momentum tensor. The most widely known such multiplet, the Ferrara-Zumino (FZ) multiplet, is not always well-defined. This can happen once Fayet-Iliopoulos (FI) terms are present or when the Kahler form of the target space is not exact. We present a new multiplet S which always exists. This understanding of the supersymmetry current allows us to obtain new results about the possible IR behavior of supersymmetric theories. Next, we discuss the coupling of rigid supersymmetric theories to supergravity. When the theory has an FZ-multiplet or it has a global R-symmetry the standard formalism can be used. But when this is not the case such simple gauging is impossible. Then, we must gauge the current S. The resulting theory has, in addition to the graviton and the gravitino, another massless chiral superfield Phi which is essential for the consistency of the theory. Some of the moduli of various string models play the role of Phi. Our general considerations, which are based on the consistency of supergravity, show that such moduli cannot be easily lifted thus leading to constraints on gravity/string models.

[ { "created": "Thu, 11 Feb 2010 20:26:36 GMT", "version": "v1" }, { "created": "Tue, 2 Mar 2010 17:47:28 GMT", "version": "v2" }, { "created": "Thu, 8 Apr 2010 03:59:00 GMT", "version": "v3" }, { "created": "Wed, 23 Jun 2010 20:37:04 GMT", "version": "v4" } ]

2014-11-20

[ [ "Komargodski", "Zohar", "" ], [ "Seiberg", "Nathan", "" ] ]

We analyze various supersymmetry multiplets containing the supercurrent and the energy-momentum tensor. The most widely known such multiplet, the Ferrara-Zumino (FZ) multiplet, is not always well-defined. This can happen once Fayet-Iliopoulos (FI) terms are present or when the Kahler form of the target space is not exact. We present a new multiplet S which always exists. This understanding of the supersymmetry current allows us to obtain new results about the possible IR behavior of supersymmetric theories. Next, we discuss the coupling of rigid supersymmetric theories to supergravity. When the theory has an FZ-multiplet or it has a global R-symmetry the standard formalism can be used. But when this is not the case such simple gauging is impossible. Then, we must gauge the current S. The resulting theory has, in addition to the graviton and the gravitino, another massless chiral superfield Phi which is essential for the consistency of the theory. Some of the moduli of various string models play the role of Phi. Our general considerations, which are based on the consistency of supergravity, show that such moduli cannot be easily lifted thus leading to constraints on gravity/string models.

8.988879

9.936629

9.915979

8.778042

9.171059

8.752773

9.038426

9.090337

9.025149

10.496734

8.855131

8.838079

9.211363

8.865487

8.779794

8.688768

8.877894

8.611047

8.913692

9.23326

8.82198

hep-th/0007143

Adil Belhaj

A. Belhaj and E.H.Saidi

On HyperKahler Singularities

14 pages, Latex

Mod.Phys.Lett. A15 (2000) 1767-1780

10.1142/S0217732300001638

UFR-HEP/00007

hep-th

null

Using a geometric realization of the $SU(2)_R$ symmetry and a procedure of factorisation of the gauge and $SU(2)_R$ charges, we study the small instanton singularities of the Higgs branch of supersymmetric $U(1)^r$ gauge theories with eight supercharges. We derive new solutions for the moduli space of vacua preserving manifestly the eight supercharges. In particular, we obtain an extension of the ordinary ADE singularities for hyperKahler manifolds and show that the classical moduli space of vacua is in general given by cotangent bundles of compact weighted projective spaces.

[ { "created": "Tue, 18 Jul 2000 11:49:14 GMT", "version": "v1" } ]

2009-10-31

[ [ "Belhaj", "A.", "" ], [ "Saidi", "E. H.", "" ] ]

Using a geometric realization of the $SU(2)_R$ symmetry and a procedure of factorisation of the gauge and $SU(2)_R$ charges, we study the small instanton singularities of the Higgs branch of supersymmetric $U(1)^r$ gauge theories with eight supercharges. We derive new solutions for the moduli space of vacua preserving manifestly the eight supercharges. In particular, we obtain an extension of the ordinary ADE singularities for hyperKahler manifolds and show that the classical moduli space of vacua is in general given by cotangent bundles of compact weighted projective spaces.

8.873218

7.870637

11.150719

7.985281

7.974644

7.529134

7.661654

7.50711

7.824418

11.4944

7.355097

8.266333

10.213742

8.394032

8.407576

8.225831

7.805676

8.10169

8.593667

9.557094

8.259184

1212.6109

Shijong Ryang

Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5

19 pages, LaTeX, no figures

null

10.1007/JHEP02(2013)107

null

hep-th

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

For the homogeneous configuration given by the long string limit of the folded string with a spin in AdS3 and a spin and a winding number in S1, we solve the auxiliary linear problem in the finite-gap method and construct the Lax operator to obtain an algebraic curve. We show that the long spiky string in AdS_3 has the same algebraic curve as the null cusp Wilson loop. The algebraic curve for the circular winding string in AdS3xS1 is evaluated. The Virasoro constraint is discussed to characterize the branch points of each curve.

[ { "created": "Wed, 26 Dec 2012 02:12:09 GMT", "version": "v1" } ]

2015-06-12

[ [ "Ryang", "Shijong", "" ] ]

For the homogeneous configuration given by the long string limit of the folded string with a spin in AdS3 and a spin and a winding number in S1, we solve the auxiliary linear problem in the finite-gap method and construct the Lax operator to obtain an algebraic curve. We show that the long spiky string in AdS_3 has the same algebraic curve as the null cusp Wilson loop. The algebraic curve for the circular winding string in AdS3xS1 is evaluated. The Virasoro constraint is discussed to characterize the branch points of each curve.

13.965971

11.22795

16.992783

11.388437

13.202629

10.795236

13.243809

11.186817

11.267102

17.813438

11.690474

13.024403

14.229067

12.161623

12.875732

12.174294

13.147652

12.453777

12.931567

14.686669

11.789023

0807.4093

Adrian Tanasa

Jacques Magnen, Vincent Rivasseau and Adrian Tanasa

Commutative limit of a renormalizable noncommutative model

11 pages, 3 figures, minor misprints being corrected

Europhys.Lett.86:11001,2009

10.1209/0295-5075/86/11001

LPT ORSAY 08-69

hep-th math-ph math.MP

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

Renormalizable $\phi^{\star 4}_4$ models on Moyal space have been obtained by modifying the commutative propagator. But these models have a divergent "naive" commutative limit. We explain here how to obtain a coherent such commutative limit for a recently proposed translation-invariant model. The mechanism relies on the analysis of the uv/ir mixing in general Feynman graphs.

[ { "created": "Fri, 25 Jul 2008 13:17:41 GMT", "version": "v1" }, { "created": "Mon, 23 Feb 2009 15:14:54 GMT", "version": "v2" } ]

2009-08-03

[ [ "Magnen", "Jacques", "" ], [ "Rivasseau", "Vincent", "" ], [ "Tanasa", "Adrian", "" ] ]

Renormalizable $\phi^{\star 4}_4$ models on Moyal space have been obtained by modifying the commutative propagator. But these models have a divergent "naive" commutative limit. We explain here how to obtain a coherent such commutative limit for a recently proposed translation-invariant model. The mechanism relies on the analysis of the uv/ir mixing in general Feynman graphs.

15.777341

12.466825

16.008854

12.706608

14.413211

11.917982

11.401212

12.405701

12.744025

20.472878

12.594844

13.110512

14.843587

13.476105

13.134771

12.99515

12.586118

12.902234

13.601365

14.964498

12.788924

hep-th/9906020

Martin Gremm

Martin Gremm, Emanuel Katz

Mirror symmetry for N=1 QED in three dimensions

10 pages, Latex, 1 figure, reference added

JHEP 0002 (2000) 008

10.1088/1126-6708/2000/02/008

PUPT-1862, MIT-CTP-2867

hep-th

null

We construct three-dimensional N=1 QED with N_f flavors using branes of type IIB string theory. This theory has a mirror, which can be realized using the S-dual brane configuration. As in examples with more supersymmetry, the Higgs branch of the original theory gets mapped into the Coulomb branch of the mirror. We use parity invariance to argue that these branches cannot be lifted by quantum corrections.

[ { "created": "Wed, 2 Jun 1999 20:10:07 GMT", "version": "v1" }, { "created": "Wed, 16 Jun 1999 16:06:40 GMT", "version": "v2" } ]

2009-10-31

[ [ "Gremm", "Martin", "" ], [ "Katz", "Emanuel", "" ] ]

We construct three-dimensional N=1 QED with N_f flavors using branes of type IIB string theory. This theory has a mirror, which can be realized using the S-dual brane configuration. As in examples with more supersymmetry, the Higgs branch of the original theory gets mapped into the Coulomb branch of the mirror. We use parity invariance to argue that these branches cannot be lifted by quantum corrections.

9.13417

7.432654

10.13766

7.26084

7.383021

7.243254

6.8746

7.230069

7.597611

9.692808

7.338557

7.749763

9.430053

7.693596

7.419621

7.561964

7.532339

7.436739

7.824612

9.901255

7.718996

hep-th/0602176

Qing-hai Wang

Gerald V. Dunne, Holger Gies, Christian Schubert, and Qing-hai Wang

Worldline Instantons II: The Fluctuation Prefactor

28 pages, 1 figure; v2 references added, version in PRD

Phys.Rev.D73:065028,2006

10.1103/PhysRevD.73.065028

null

hep-th hep-ph

null

In a previous paper [1], it was shown that the worldline expression for the nonperturbative imaginary part of the QED effective action can be approximated by the contribution of a special closed classical path in Euclidean spacetime, known as a worldline instanton. Here we extend this formalism to compute also the prefactor arising from quantum fluctuations about this classical closed path. We present a direct numerical approach for determining this prefactor, and we find a simple explicit formula for the prefactor in the cases where the inhomogeneous electric field is a function of just one spacetime coordinate. We find excellent agreement between our semiclassical approximation, conventional WKB, and recent numerical results using numerical worldline loops.

[ { "created": "Fri, 17 Feb 2006 22:34:07 GMT", "version": "v1" }, { "created": "Thu, 30 Mar 2006 21:00:13 GMT", "version": "v2" } ]

2008-11-26

[ [ "Dunne", "Gerald V.", "" ], [ "Gies", "Holger", "" ], [ "Schubert", "Christian", "" ], [ "Wang", "Qing-hai", "" ] ]

In a previous paper [1], it was shown that the worldline expression for the nonperturbative imaginary part of the QED effective action can be approximated by the contribution of a special closed classical path in Euclidean spacetime, known as a worldline instanton. Here we extend this formalism to compute also the prefactor arising from quantum fluctuations about this classical closed path. We present a direct numerical approach for determining this prefactor, and we find a simple explicit formula for the prefactor in the cases where the inhomogeneous electric field is a function of just one spacetime coordinate. We find excellent agreement between our semiclassical approximation, conventional WKB, and recent numerical results using numerical worldline loops.

9.695786

8.452301

10.146088

8.627954

9.084322

8.595408

9.05733

9.169271

8.213708

9.825476

8.413831

8.934636

9.289838

8.915716

8.902596

8.954632

8.938769

8.768824

8.900525

9.183779

8.738914

1302.1719

Jnanadeva Maharana

The Worldsheet Perspective of T-duality Symmetry in String Theory

review, 53 pages

Invited Review article for Int. Journal of Mod. Phys. A 2013

10.1142/S0217751X13300111

null

hep-th

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

The purpose of this article is to present a pedagogical review of T-dualityin in string theory. The evolution of the closed string is envisaged on the worldsheet in the presence of its massless excitations. The duality symmetry is studied when some of the spacial coordinates are compactified on d-dimensional torus, $T^d$. The known results are reviewed to elucidate that equations of motion for the compact coordinates are $O(d,d)$ covariant, $d$ being the number of compact directions. Next, the vertex operators of excited massive levels are considered in a simple compactification scheme. It is shown that the vertex operators for each massive level can be cast in a T-duality invariant form in such a case. Subsequently, the duality properties of superstring is investigated in the NSR formulation for the massless backgrounds such as graviton and antisymmetric tensor. The worldsheet superfield formulation is found to be very suitable for our purpose. The Hassan-Sen compactification is adopted and it is shown that the worldsheet equations of motion for compact superfields to be very suitable for our purpose. The Hassan-Sen compactification is adopted and it is shown that the worldsheet equations of motion for compact superfields are $O(d,d)$ covariant when the backgrounds are independent of superfields along compact directions. The vertex operators for excited levels are presented in the NS-NS sector and it is shown that they can be cast in T-duality invariant form for the case of Hassan-Sen compactification scheme. An illustrative example is presented to realize our proposal.

[ { "created": "Thu, 7 Feb 2013 12:10:49 GMT", "version": "v1" } ]

2015-06-12

[ [ "Maharana", "Jnanadeva", "" ] ]

The purpose of this article is to present a pedagogical review of T-dualityin in string theory. The evolution of the closed string is envisaged on the worldsheet in the presence of its massless excitations. The duality symmetry is studied when some of the spacial coordinates are compactified on d-dimensional torus, $T^d$. The known results are reviewed to elucidate that equations of motion for the compact coordinates are $O(d,d)$ covariant, $d$ being the number of compact directions. Next, the vertex operators of excited massive levels are considered in a simple compactification scheme. It is shown that the vertex operators for each massive level can be cast in a T-duality invariant form in such a case. Subsequently, the duality properties of superstring is investigated in the NSR formulation for the massless backgrounds such as graviton and antisymmetric tensor. The worldsheet superfield formulation is found to be very suitable for our purpose. The Hassan-Sen compactification is adopted and it is shown that the worldsheet equations of motion for compact superfields to be very suitable for our purpose. The Hassan-Sen compactification is adopted and it is shown that the worldsheet equations of motion for compact superfields are $O(d,d)$ covariant when the backgrounds are independent of superfields along compact directions. The vertex operators for excited levels are presented in the NS-NS sector and it is shown that they can be cast in T-duality invariant form for the case of Hassan-Sen compactification scheme. An illustrative example is presented to realize our proposal.

7.741309

7.343893

8.108753

7.5074

7.544813

7.507207

7.547745

7.477855

7.390287

8.567928

7.356366

7.557346

7.539732

7.428842

7.416547

7.563388

7.562321

7.509442

7.432232

7.891915

7.413862

hep-th/0411151

Manoel Messias Ferreira Junior

H. Belich, T. Costa-Soares, M. M. Ferreira Jr., J. A. Helayel-Neto

Classical Solutions in a Lorentz-violating Scenario of Maxwell-Chern-Simons-Proca Electrodynamics

15 pages, 5 figures, style Revtex 4, revised version To appear in Eur. Phys. J. C (2005)

Eur.Phys.J.C42:127-137,2005

10.1140/epjc/s2005-02253-6

null

hep-th

null

Taking as starting point the planar model arising from the dimensional reduction of the Abelian-Higgs Carroll-Field-Jackiw model, we write down and study the extended Maxwell equations and the corresponding wave equations for the potentials. The solutions for these equations correspond to the usual ones for the MCS-Proca system, supplemented with background-dependent correction terms. In the case of a purely timelike background, exact algebraic solutions are presented which possess a similar behavior to the MCS-Proca counterparts near and far from the origin. On the other hand, for a purely spacelike background, only approximate solutions are feasible. They consist of non-trivial analytic expressions with a manifest evidence of spatial anisotropy, which is consistent with the existence of a privileged direction in space. These solutions also behave similarly to the MCS-Proca ones near and far from the origin.

[ { "created": "Tue, 16 Nov 2004 01:56:57 GMT", "version": "v1" }, { "created": "Wed, 20 Apr 2005 03:33:35 GMT", "version": "v2" } ]

2011-09-13

[ [ "Belich", "H.", "" ], [ "Costa-Soares", "T.", "" ], [ "Ferreira", "M. M.", "Jr." ], [ "Helayel-Neto", "J. A.", "" ] ]

Taking as starting point the planar model arising from the dimensional reduction of the Abelian-Higgs Carroll-Field-Jackiw model, we write down and study the extended Maxwell equations and the corresponding wave equations for the potentials. The solutions for these equations correspond to the usual ones for the MCS-Proca system, supplemented with background-dependent correction terms. In the case of a purely timelike background, exact algebraic solutions are presented which possess a similar behavior to the MCS-Proca counterparts near and far from the origin. On the other hand, for a purely spacelike background, only approximate solutions are feasible. They consist of non-trivial analytic expressions with a manifest evidence of spatial anisotropy, which is consistent with the existence of a privileged direction in space. These solutions also behave similarly to the MCS-Proca ones near and far from the origin.

10.985672

10.030637

10.807759

9.628481

10.515321

10.079328

9.31651

9.887465

9.692222

11.284055

9.650479

9.826518

9.99824

9.766983

10.053281

9.680843

9.923368

10.062369

9.776977

10.437262

9.787722

0812.3362

Mariano Cadoni

Mariano Cadoni, Maurizio Melis, Paolo Pani

Microscopic entropy of black holes and AdS_2 quantum gravity

Talk given at the conference: Black Holes in General Relativity and String Theory, August 24-30 2008, Veli Losinj,Croatia

PoS BHsGRandStrings2008:032,2008

null

hep-th

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

Quantum gravity (QG) on two-dimensional anti-de Sitter spacetime (AdS_2) takes always the form of a chiral conformal field theory (CFT). However, the actual content of the CFT, and in particular its central charge, depends on the background values of the dilaton and Maxwell field. We review the main features of AdS_2 QG with linear dilaton and of AdS_2 QG with constant dilaton and Maxwell field. We also show that the 3D charged Banados-Teitelboim-Zanelli black hole interpolates between these two versions of AdS_2 QG. Applications to the computation of the microscopic entropy of black holes are also discussed.

[ { "created": "Wed, 17 Dec 2008 18:30:50 GMT", "version": "v1" } ]

2011-08-03

[ [ "Cadoni", "Mariano", "" ], [ "Melis", "Maurizio", "" ], [ "Pani", "Paolo", "" ] ]

Quantum gravity (QG) on two-dimensional anti-de Sitter spacetime (AdS_2) takes always the form of a chiral conformal field theory (CFT). However, the actual content of the CFT, and in particular its central charge, depends on the background values of the dilaton and Maxwell field. We review the main features of AdS_2 QG with linear dilaton and of AdS_2 QG with constant dilaton and Maxwell field. We also show that the 3D charged Banados-Teitelboim-Zanelli black hole interpolates between these two versions of AdS_2 QG. Applications to the computation of the microscopic entropy of black holes are also discussed.

5.037742

4.461168

4.733766

4.649921

4.636368

4.750074

4.687536

4.674469

4.692029

4.881288

4.722888

4.785702

4.833232

4.714019

4.720141

4.794711

4.714907

4.857224

4.784762

4.747011

4.703859

0910.5149

Selym Villalba-Chavez

Selym Villalba Chavez

Photon Magnetic Moment and Vacuum Magnetization in an Asymptotically Large Magnetic Field

19 pages, 6 figures

Phys.Rev.D81:105019,2010

10.1103/PhysRevD.81.105019

null

hep-th

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

We consider the effect of the photon radiative correction on the vacuum energy in a superstrong magnetic field. The notion of a photon anomalous magnetic moment is analyzed and its connection with the quasiparticle character of the electromagnetic radiation is established. In the infrared domain the magnetic moment turns out to be a vector with two orthogonal components in correspondence with the cylindrical symmetry imposed by the external field. The possibility of defining such quantity in the high energy limit is studied as well. Its existence suggests that the electromagnetic radiation is a source of magnetization to the whole vacuum and thus its electron-positron zero-point energy is slightly modified. The corresponding contribution to the vacuum magnetization density is determined by considering the individual contribution of each vacuum polarization eigenmode in the Euler-Heisenberg Lagrangian. A paramagnetic response is found in one of them, whereas the remaining ones are diamagnetic. Additional issues concerning the transverse pressures are analyzed.

[ { "created": "Tue, 27 Oct 2009 15:43:12 GMT", "version": "v1" }, { "created": "Fri, 4 Dec 2009 15:30:19 GMT", "version": "v2" }, { "created": "Mon, 9 Aug 2010 19:41:17 GMT", "version": "v3" } ]

2015-03-13

[ [ "Chavez", "Selym Villalba", "" ] ]

We consider the effect of the photon radiative correction on the vacuum energy in a superstrong magnetic field. The notion of a photon anomalous magnetic moment is analyzed and its connection with the quasiparticle character of the electromagnetic radiation is established. In the infrared domain the magnetic moment turns out to be a vector with two orthogonal components in correspondence with the cylindrical symmetry imposed by the external field. The possibility of defining such quantity in the high energy limit is studied as well. Its existence suggests that the electromagnetic radiation is a source of magnetization to the whole vacuum and thus its electron-positron zero-point energy is slightly modified. The corresponding contribution to the vacuum magnetization density is determined by considering the individual contribution of each vacuum polarization eigenmode in the Euler-Heisenberg Lagrangian. A paramagnetic response is found in one of them, whereas the remaining ones are diamagnetic. Additional issues concerning the transverse pressures are analyzed.

12.871783

13.629086

13.372482

11.744789

12.612071

12.553598

12.562985

12.720657

12.48035

12.998865

12.698633

12.324475

12.229247

11.927394

12.602549

12.478571

12.19224

12.335935

11.867723

12.236332

12.4525

hep-th/0011237

Buchholz

Detlev Buchholz, Jens Mund, Stephen J. Summers

Transplantation of Local Nets and Geometric Modular Action on Robertson-Walker Space-Times

20 pages, 1 figure, v2: minor changes in the wording

Mathematical physics in mathematics and physics (Siena, 2000), 65--81, Fields Inst. Commun. 30, Amer. Math. Soc., Providence, RI, 2001.

null

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

null

A novel method of transplanting algebras of observables from de Sitter space to a large class of Robertson-Walker space-times is exhibited. It allows one to establish the existence of an abundance of local nets on these spaces which comply with a recently proposed condition of geometric modular action. The corresponding modular symmetry groups appearing in these examples also satisfy a condition of modular stability, which has been suggested as a substitute for the requirement of positivity of the energy in Minkowski space. Moreover, they exemplify the conjecture that the modular symmetry groups are generically larger than the isometry and conformal groups of the underlying space-times.

[ { "created": "Mon, 27 Nov 2000 14:07:33 GMT", "version": "v1" }, { "created": "Fri, 15 Dec 2000 13:00:27 GMT", "version": "v2" } ]

2007-05-23

[ [ "Buchholz", "Detlev", "" ], [ "Mund", "Jens", "" ], [ "Summers", "Stephen J.", "" ] ]

A novel method of transplanting algebras of observables from de Sitter space to a large class of Robertson-Walker space-times is exhibited. It allows one to establish the existence of an abundance of local nets on these spaces which comply with a recently proposed condition of geometric modular action. The corresponding modular symmetry groups appearing in these examples also satisfy a condition of modular stability, which has been suggested as a substitute for the requirement of positivity of the energy in Minkowski space. Moreover, they exemplify the conjecture that the modular symmetry groups are generically larger than the isometry and conformal groups of the underlying space-times.

11.342905

10.570495

12.327158

10.854937

11.597266

10.192122

10.783387

10.19945

10.389211

11.650138

10.79607

9.874454

9.982265

9.993012

10.036411

10.138419

9.917596

10.054486

9.94556

10.389276

9.878551

1807.04495

Yutaka Sakamura

Hiroyuki Abe, Shuntaro Aoki, Sosuke Imai, Yutaka Sakamura

${\cal N}=1$ superfield description of BPS solutions in 6D gauged SUGRA with 3-branes

32 pages, no figures, published version

null

10.1007/JHEP09(2018)073

KEK-TH-2063, WU-HEP-18-8

hep-th

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

We provide ${\cal N}=1$ superfield description of BPS backgrounds in six-dimensional supergravity (6D SUGRA) with 3-branes, which is compactified on a two-dimensional space. The brane terms induce the localized fluxes. We find a useful gauge in which the background equations become significantly simple. This is not the Wess-Zumino gauge, and the relation to the usual component-field expression of 6D SUGRA is not straightforward. One of the equations reduces to the Liouville equation. By moving to the Wess-Zumino gauge, we check that our expressions reproduce the known results of the previous works, which are expressed in the component fields. Our results help us develop the systematic derivation of four-dimensional effective theories that keeps the ${\cal N}=1$ SUSY structure.

[ { "created": "Thu, 12 Jul 2018 09:32:28 GMT", "version": "v1" }, { "created": "Thu, 13 Sep 2018 04:26:21 GMT", "version": "v2" } ]

2018-10-17

[ [ "Abe", "Hiroyuki", "" ], [ "Aoki", "Shuntaro", "" ], [ "Imai", "Sosuke", "" ], [ "Sakamura", "Yutaka", "" ] ]

We provide ${\cal N}=1$ superfield description of BPS backgrounds in six-dimensional supergravity (6D SUGRA) with 3-branes, which is compactified on a two-dimensional space. The brane terms induce the localized fluxes. We find a useful gauge in which the background equations become significantly simple. This is not the Wess-Zumino gauge, and the relation to the usual component-field expression of 6D SUGRA is not straightforward. One of the equations reduces to the Liouville equation. By moving to the Wess-Zumino gauge, we check that our expressions reproduce the known results of the previous works, which are expressed in the component fields. Our results help us develop the systematic derivation of four-dimensional effective theories that keeps the ${\cal N}=1$ SUSY structure.

9.460091

9.442019

10.477849

9.34207

8.907581

9.565804

8.937588

9.315891

9.259105

10.192739

9.18924

9.068471

9.688458

9.28454

9.516979

9.184213

9.234944

9.270548

9.582344

9.248303

9.083441

hep-th/0607060

Jose A. de Azcarraga

Igor A. Bandos, Jose A. de Azcarraga and Oscar Varela

On the absence of BPS preonic solutions in IIA and IIB supergravities

plain latex, 12 pages Minor misprints corrected. Published in JHEP 09 (2006) 009

JHEP0609:009,2006

10.1088/1126-6708/2006/09/009

FTUV-06-0710 IFIC/06-27

hep-th

null

We consider the present absence of 31 out of 32 supersymmetric solutions in supergravity i.e., of solutions describing BPS preons. A recent result indicates that (bosonic) BPS preonic solutions do not exist in type IIB supergravity. We reconsider this analysis by using the G-frame method, extend it to the IIA supergravity case, and show that there are no (bosonic) preonic solutions for type IIA either. For the classical D=11 supergravity no conclusion can be drawn yet, although the negative IIA results permit establishing the conditions that preonic solutions would have to satisfy. For supergravities with `stringy' corrections, the existence of BPS preonic solutions remains fully open.

[ { "created": "Mon, 10 Jul 2006 18:57:08 GMT", "version": "v1" }, { "created": "Fri, 8 Sep 2006 12:23:17 GMT", "version": "v2" } ]

2009-11-11

[ [ "Bandos", "Igor A.", "" ], [ "de Azcarraga", "Jose A.", "" ], [ "Varela", "Oscar", "" ] ]

We consider the present absence of 31 out of 32 supersymmetric solutions in supergravity i.e., of solutions describing BPS preons. A recent result indicates that (bosonic) BPS preonic solutions do not exist in type IIB supergravity. We reconsider this analysis by using the G-frame method, extend it to the IIA supergravity case, and show that there are no (bosonic) preonic solutions for type IIA either. For the classical D=11 supergravity no conclusion can be drawn yet, although the negative IIA results permit establishing the conditions that preonic solutions would have to satisfy. For supergravities with `stringy' corrections, the existence of BPS preonic solutions remains fully open.

13.57434

11.831592

15.309658

11.93695

12.839572

11.689699

13.532909

12.458505

12.531831

14.576547

12.344602

12.215887

13.025899

12.939457

12.892129

12.475504

12.69545

12.345379

13.23275

13.811563

12.178998

0810.2561

Michael Salem

Lawrence J. Hall, Michael P. Salem, and Taizan Watari

Neutrino mixing and mass hierarchy in Gaussian landscapes

11 pages, 2 figures

Phys.Rev.D79:025010,2009

10.1103/PhysRevD.79.025010

IPMU08, UT-08-29

hep-th hep-ph

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

The flavor structure of the Standard Model may arise from random selection on a landscape. In a class of simple models, called "Gaussian landscapes," Yukawa couplings derive from overlap integrals of Gaussian zero-mode wavefunctions on an extra-dimensional space. Statistics of vacua are generated by scanning the peak positions of these wavefunctions, giving probability distributions for all flavor observables. Gaussian landscapes can account for all of the major features of flavor, including both the small electroweak mixing in the quark sector and the large mixing observed in the lepton sector. We find that large lepton mixing stems directly from lepton doublets having broad wavefunctions on the internal manifold. Assuming the seesaw mechanism, we find the mass hierarchy among neutrinos is sensitive to the number of right-handed neutrinos, and can provide a good fit to neutrino oscillation measurements.

[ { "created": "Tue, 14 Oct 2008 20:55:28 GMT", "version": "v1" } ]

2014-11-18

[ [ "Hall", "Lawrence J.", "" ], [ "Salem", "Michael P.", "" ], [ "Watari", "Taizan", "" ] ]

The flavor structure of the Standard Model may arise from random selection on a landscape. In a class of simple models, called "Gaussian landscapes," Yukawa couplings derive from overlap integrals of Gaussian zero-mode wavefunctions on an extra-dimensional space. Statistics of vacua are generated by scanning the peak positions of these wavefunctions, giving probability distributions for all flavor observables. Gaussian landscapes can account for all of the major features of flavor, including both the small electroweak mixing in the quark sector and the large mixing observed in the lepton sector. We find that large lepton mixing stems directly from lepton doublets having broad wavefunctions on the internal manifold. Assuming the seesaw mechanism, we find the mass hierarchy among neutrinos is sensitive to the number of right-handed neutrinos, and can provide a good fit to neutrino oscillation measurements.

10.629525

11.402368

8.275155

9.0344

10.436154

12.309625

10.472772

11.086016

8.006282

9.827148

10.305644

10.116858

9.839091

9.63957

10.085406

9.911313

9.77719

10.59659

9.105675

9.649688

10.05562

1201.3339

Andrei Mironov

A. Mironov, A. Morozov, Sh. Shakirov and A. Sleptsov

Interplay between MacDonald and Hall-Littlewood expansions of extended torus superpolynomials

8 pages

JHEP 2012 (2012) 70

10.1007/JHEP05(2012)070

FIAN/TD-22/11; ITEP/TH-01/12

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

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

In arXiv:1106.4305 extended superpolynomials were introduced for the torus links T[m,mk+r], which are functions on the entire space of time variables and, at expense of reducing the topological invariance, possess additional algebraic properties, resembling those of the matrix model partition functions and the KP/Toda tau-functions. Not surprisingly, being a suitable extension it actually allows one to calculate the superpolynomials. These functions are defined as expansions into MacDonald polynomials, and their dependence on k is entirely captured by the action of the cut-and-join operator, like in the HOMFLY case. We suggest a simple description of the coefficients in these character expansions, by expanding the initial (at k=0) conditions for the k-evolution into the new auxiliary basis, this time provided by the Hall-Littlewood polynomials, which, hence, play a role in the description of the dual m-evolution. For illustration we list manifest expressions for a few first series, mk\pm 1, mk\pm 2, mk\pm 3, mk\pm 4. Actually all formulas were explicitly tested up to m=17 strands in the braid.

[ { "created": "Mon, 16 Jan 2012 19:10:46 GMT", "version": "v1" }, { "created": "Fri, 17 Feb 2012 19:19:44 GMT", "version": "v2" } ]

2015-06-03

[ [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ], [ "Shakirov", "Sh.", "" ], [ "Sleptsov", "A.", "" ] ]

In arXiv:1106.4305 extended superpolynomials were introduced for the torus links T[m,mk+r], which are functions on the entire space of time variables and, at expense of reducing the topological invariance, possess additional algebraic properties, resembling those of the matrix model partition functions and the KP/Toda tau-functions. Not surprisingly, being a suitable extension it actually allows one to calculate the superpolynomials. These functions are defined as expansions into MacDonald polynomials, and their dependence on k is entirely captured by the action of the cut-and-join operator, like in the HOMFLY case. We suggest a simple description of the coefficients in these character expansions, by expanding the initial (at k=0) conditions for the k-evolution into the new auxiliary basis, this time provided by the Hall-Littlewood polynomials, which, hence, play a role in the description of the dual m-evolution. For illustration we list manifest expressions for a few first series, mk\pm 1, mk\pm 2, mk\pm 3, mk\pm 4. Actually all formulas were explicitly tested up to m=17 strands in the braid.

17.367708

16.429699

20.720774

17.239603

19.251242

18.681047

19.270189

18.101156

16.704021

22.831179

15.933393

16.343632

16.85466

15.976359

16.157421

16.613415

16.473513

16.314837

16.072308

17.168367

16.629427

1511.03586

Andre Lehum

J. M. Queiruga, A. C. Lehum, Mir Faizal

K\"ahlerian Effective Potentials for Chern-Simons-Matter Theories

15 pages

Nucl.Phys. B902 (2016) 58-68

10.1016/j.nuclphysb.2015.11.007

null

hep-th

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

In this paper, we will calculate the effective potential for a theory of multiple M2-branes. As the theory of multiple M2-branes can be described by a Chern-Simons-matter theory, this will be done by calculating the K\"ahlerian effective potential for a Chern-Simons-matter theory. This calculation will be performed in $\mathcal{N} = 1$ superspace formalism. We will initially study an Abelian Chern-Simons-matter theory, and then generalize those results to the full non-Abelian Chern-Simons-matter theory. We will obtain explicit expressions for the superpropagators for this theory. These superpropagators will be used to calculate the one-loop effective potential.

[ { "created": "Wed, 11 Nov 2015 17:47:17 GMT", "version": "v1" } ]

2015-11-24

[ [ "Queiruga", "J. M.", "" ], [ "Lehum", "A. C.", "" ], [ "Faizal", "Mir", "" ] ]

In this paper, we will calculate the effective potential for a theory of multiple M2-branes. As the theory of multiple M2-branes can be described by a Chern-Simons-matter theory, this will be done by calculating the K\"ahlerian effective potential for a Chern-Simons-matter theory. This calculation will be performed in $\mathcal{N} = 1$ superspace formalism. We will initially study an Abelian Chern-Simons-matter theory, and then generalize those results to the full non-Abelian Chern-Simons-matter theory. We will obtain explicit expressions for the superpropagators for this theory. These superpropagators will be used to calculate the one-loop effective potential.

4.434472

3.881585

4.208162

3.880189

3.961904

3.851965

3.863247

3.846613

4.026269

4.534846

3.887317

4.054193

4.203396

4.090746

4.111151

4.168267

4.067461

4.073032

4.042599

4.192225

4.030588

2405.16377

Dongmin Gang

Dongmin Gang, Heesu Kang, Seongmin Kim

Non-hyperbolic 3-manifolds and 3D field theories for 2D Virasoro minimal models

28 pages, v2: small modifications in the main result, refs added

null

hep-th math.GT

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

Using 3D-3D correspondence, we construct 3D dual bulk field theories for general Virasoro minimal models $M(P,Q)$. These theories correspond to Seifert fiber spaces $S^2 ((P,P-R),(Q,S),(3,1))$ with two integers $(R,S)$ satisfying $PS-QR =1$. In the unitary case, where $|P-Q|=1$, the bulk theory has a mass gap and flows to a unitary topological field theory (TQFT) in the IR, which is expected to support the chiral Virasoro minimal model at the boundary under an appropriate boundary condition. For the non-unitary case, where $|P-Q|>1$, the bulk theory flows to a 3D $\mathcal{N}=4$ rank-0 superconformal field theory, whose topologically twisted theory supports the chiral minimal model at the boundary. We also provide a concrete field theory description of the 3D bulk theory using $T[SU(2)]$ theories. Our proposals are supported by various consistency checks using 3D-3D relations and direct computations of various partition functions.

[ { "created": "Sat, 25 May 2024 23:25:29 GMT", "version": "v1" }, { "created": "Mon, 3 Jun 2024 04:04:45 GMT", "version": "v2" } ]

2024-06-04

[ [ "Gang", "Dongmin", "" ], [ "Kang", "Heesu", "" ], [ "Kim", "Seongmin", "" ] ]

Using 3D-3D correspondence, we construct 3D dual bulk field theories for general Virasoro minimal models $M(P,Q)$. These theories correspond to Seifert fiber spaces $S^2 ((P,P-R),(Q,S),(3,1))$ with two integers $(R,S)$ satisfying $PS-QR =1$. In the unitary case, where $|P-Q|=1$, the bulk theory has a mass gap and flows to a unitary topological field theory (TQFT) in the IR, which is expected to support the chiral Virasoro minimal model at the boundary under an appropriate boundary condition. For the non-unitary case, where $|P-Q|>1$, the bulk theory flows to a 3D $\mathcal{N}=4$ rank-0 superconformal field theory, whose topologically twisted theory supports the chiral minimal model at the boundary. We also provide a concrete field theory description of the 3D bulk theory using $T[SU(2)]$ theories. Our proposals are supported by various consistency checks using 3D-3D relations and direct computations of various partition functions.

7.719583

7.178573

8.910714

6.748644

6.823457

6.777351

7.416993

7.47349

6.497253

9.466769

7.769958

6.976015

7.41386

7.107549

6.738063

6.778103

7.034517

7.277908

6.931246

7.339073

7.40407

hep-th/0508221

Yujun Chen

Yujun Chen, Maxim Kontsevich and Albert Schwarz

Symmetries of WDVV equations

LaTeX, 15 pages

Nucl.Phys. B730 (2005) 352-363

10.1016/j.nuclphysb.2005.09.025

null

hep-th math.AG

null

We say that a function F(tau) obeys WDVV equations, if for a given invertible symmetric matrix eta^{alpha beta} and all tau \in T \subset R^n, the expressions c^{alpha}_{beta gamma}(tau) = eta^{alpha lambda} c_{lambda beta gamma}(tau) = eta^{alpha lambda} \partial_{lambda} \partial_{beta} \partial_{gamma} F can be considered as structure constants of commutative associative algebra; the matrix eta_{alpha beta} inverse to \eta^{\alpha \beta} determines an invariant scalar product on this algebra. A function x^{alpha}(z, tau) obeying \partial_{alpha} \partial_{beta} x^{gamma} (z, tau) = z^{-1} c^{varepsilon}_{alpha beta} \partial_{epsilon} x^{gamma} (z, tau) is called a calibration of a solution of WDVV equations. We show that there exists an infinite-dimensional group acting on the space of calibrated solutions of WDVV equations (in different form such a group was constructed in [2]). We describe the action of Lie algebra of this group.

[ { "created": "Tue, 30 Aug 2005 03:13:00 GMT", "version": "v1" } ]

2009-11-11

[ [ "Chen", "Yujun", "" ], [ "Kontsevich", "Maxim", "" ], [ "Schwarz", "Albert", "" ] ]

We say that a function F(tau) obeys WDVV equations, if for a given invertible symmetric matrix eta^{alpha beta} and all tau \in T \subset R^n, the expressions c^{alpha}_{beta gamma}(tau) = eta^{alpha lambda} c_{lambda beta gamma}(tau) = eta^{alpha lambda} \partial_{lambda} \partial_{beta} \partial_{gamma} F can be considered as structure constants of commutative associative algebra; the matrix eta_{alpha beta} inverse to \eta^{\alpha \beta} determines an invariant scalar product on this algebra. A function x^{alpha}(z, tau) obeying \partial_{alpha} \partial_{beta} x^{gamma} (z, tau) = z^{-1} c^{varepsilon}_{alpha beta} \partial_{epsilon} x^{gamma} (z, tau) is called a calibration of a solution of WDVV equations. We show that there exists an infinite-dimensional group acting on the space of calibrated solutions of WDVV equations (in different form such a group was constructed in [2]). We describe the action of Lie algebra of this group.

6.111969

7.865748

7.17325

6.754888

7.223875

6.966745

7.663284

6.714322

6.51087

9.586658

6.655403

6.203575

6.373372

5.944301

6.030687

6.152002

6.18234

6.119799

6.02359

6.634272

6.345891

0809.4134

Yi-Fu Cai

Yi-Fu Cai, Wei Xue

N-flation from multiple DBI type actions

4 pages, 1 figure

Phys.Lett.B680:395-398,2009

10.1016/j.physletb.2009.09.043

null

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

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

In this letter we present a new N-flation model constructed by making use of multiple scalar fields which are being described by their own DBI action. We show that the dependence of the e-folding number and of the curvature perturbation on the number of fields changes compared with the normal N-flation model. Our model is also quite different from the usual DBI N-flation which is still based on one DBI action but involves many moduli components. Some specific examples of our model have been analyzed.

[ { "created": "Wed, 24 Sep 2008 09:12:16 GMT", "version": "v1" } ]

2009-10-06

[ [ "Cai", "Yi-Fu", "" ], [ "Xue", "Wei", "" ] ]

In this letter we present a new N-flation model constructed by making use of multiple scalar fields which are being described by their own DBI action. We show that the dependence of the e-folding number and of the curvature perturbation on the number of fields changes compared with the normal N-flation model. Our model is also quite different from the usual DBI N-flation which is still based on one DBI action but involves many moduli components. Some specific examples of our model have been analyzed.

12.22765

10.77927

11.50446

10.542238

11.521454

11.172885

10.390918

11.883035

10.240422

11.403536

10.146793

11.418927

10.876641

11.029266

11.058912

11.090256

10.461323

10.89039

10.542755

11.267046

10.619069

hep-th/9711113

Andreas Fring

A. G. Bytsko, A. Fring

Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz

20 pages (Latex), minor typos corrections and three references added

Nucl.Phys. B521 (1998) 573-591

10.1016/S0550-3213(98)00222-3

null

hep-th

null

Employing factorized versions of characters as products of quantum dilogarithms corresponding to irreducible representations of the Virasoro algebra, we obtain character formulae which admit an anyonic quasi-particle interpretation in the context of minimal models in conformal field theories. We propose anyonic thermodynamic Bethe ansatz equations, together with their corresponding equation for the Virasoro central charge, on the base of an analysis of the classical limit for the characters and the requirement that the scattering matrices are asymptotically phaseless.

[ { "created": "Mon, 17 Nov 1997 20:19:38 GMT", "version": "v1" }, { "created": "Mon, 24 Nov 1997 17:25:26 GMT", "version": "v2" } ]

2009-10-30

[ [ "Bytsko", "A. G.", "" ], [ "Fring", "A.", "" ] ]

Employing factorized versions of characters as products of quantum dilogarithms corresponding to irreducible representations of the Virasoro algebra, we obtain character formulae which admit an anyonic quasi-particle interpretation in the context of minimal models in conformal field theories. We propose anyonic thermodynamic Bethe ansatz equations, together with their corresponding equation for the Virasoro central charge, on the base of an analysis of the classical limit for the characters and the requirement that the scattering matrices are asymptotically phaseless.

16.699799

16.584667

15.615586

14.298823

16.153318

13.7563

15.295305

14.675111

14.851295

21.091646

14.869164

14.148678

14.61961

13.782517

13.930447

14.52772

14.342475

14.450664

14.326921

15.194933

14.308331

hep-th/9806148

Pushan Majumdar

Ramesh Anishetty, Pushan Majumdar and H. S. Sharatchandra

Dual gluons and monopoles in 2+1 dimensional Yang-Mills theory

revtex, 9 pages

Phys.Lett. B478 (2000) 373-378

10.1016/S0370-2693(00)00247-1

imsc/98/06/29

hep-th

null

2+1-dimensional Yang-Mills theory is reinterpreted in terms of metrics on 3-manifolds. The dual gluons are related to diffeomorphisms of the 3-manifold. Monopoles are identified with points where the Ricci tensor has triply degenerate eigenvalues. The dual gluons have the desired interaction with these monopoles. This would give a mass for the dual gluons resulting in confinement.

[ { "created": "Thu, 18 Jun 1998 10:41:44 GMT", "version": "v1" } ]

2009-10-31

[ [ "Anishetty", "Ramesh", "" ], [ "Majumdar", "Pushan", "" ], [ "Sharatchandra", "H. S.", "" ] ]

2+1-dimensional Yang-Mills theory is reinterpreted in terms of metrics on 3-manifolds. The dual gluons are related to diffeomorphisms of the 3-manifold. Monopoles are identified with points where the Ricci tensor has triply degenerate eigenvalues. The dual gluons have the desired interaction with these monopoles. This would give a mass for the dual gluons resulting in confinement.

9.896643

8.911366

8.731735

8.42851

8.28122

7.839104

8.50832

8.770823

8.136312

9.219975

8.334699

8.01634

8.092285

7.781993

7.903953

8.020632

8.190336

7.759211

8.128291

7.971138

7.999266

hep-th/0303143

Ahmed Jellal

A. Jellal, E.H. Saidi, H.B. Geyer and R.A. Roemer

A Matrix Model for Fractional Quantum Hall States

to be published in the Proceedings (J. Phys. Soc. Japan) of Localisation 2002 Conference, Tokyo, Japan

J.Phys.Soc.Jap. 72 (2003) A127

10.1143/JPSJS.72SA.127

null

hep-th cond-mat

null

We have developed a matrix model for FQH states at filling factor \nu_{k_1k_2} going beyond the Laughlin theory. To illustrate our idea, we have considered an FQH system of a finite number N=(N_{1}+N_{2}) of electrons with filling factor \nu_{k_{1}k_{2}} = \nu_{p_{1}p_{2}}=\frac{p_{2}}{p_{1}p_{2}-1}; p_{1} is an odd integer and p_{2} is an even integer. The \nu_{p_{1}p_{2}} series corresponds just to the level two of the Haldane hierarchy; it recovers the Laughlin series \nu_{p_{1}} =\frac{1}{p_{1}} by going to the limit p_{2} large and contains several observable FQH states such as \nu = 2/3, 2/5, >....

[ { "created": "Sun, 16 Mar 2003 15:10:35 GMT", "version": "v1" } ]

2017-01-25

[ [ "Jellal", "A.", "" ], [ "Saidi", "E. H.", "" ], [ "Geyer", "H. B.", "" ], [ "Roemer", "R. A.", "" ] ]

We have developed a matrix model for FQH states at filling factor \nu_{k_1k_2} going beyond the Laughlin theory. To illustrate our idea, we have considered an FQH system of a finite number N=(N_{1}+N_{2}) of electrons with filling factor \nu_{k_{1}k_{2}} = \nu_{p_{1}p_{2}}=\frac{p_{2}}{p_{1}p_{2}-1}; p_{1} is an odd integer and p_{2} is an even integer. The \nu_{p_{1}p_{2}} series corresponds just to the level two of the Haldane hierarchy; it recovers the Laughlin series \nu_{p_{1}} =\frac{1}{p_{1}} by going to the limit p_{2} large and contains several observable FQH states such as \nu = 2/3, 2/5, >....

5.633276

5.975344

5.893558

5.416934

6.159634

6.452572

6.104237

5.49425

5.346499

7.3426

5.449142

5.385654

5.683768

5.321955

5.621211

5.668243

5.535743

5.275208

5.378662

5.619374

5.338533

hep-th/0610128

W. A. Sabra

Jai Grover, Jan B. Gutowski and Wafic A. Sabra

Maximally Minimal Preons in Four Dimensions

18 pages. References added, comments added discussing the possibility of discrete quotients of AdS(4) preserving 3/4 supersymmetry.

Class.Quant.Grav.24:3259-3270,2007

10.1088/0264-9381/24/13/008

null

hep-th

null

Killing spinors of N=2, D=4 supergravity are examined using the spinorial geometry method, in which spinors are written as differential forms. By making use of methods developed in hep-th/0606049 to analyze preons in type IIB supergravity, we show that there are no simply connected solutions preserving exactly 3/4 of the supersymmetry.

[ { "created": "Wed, 11 Oct 2006 13:33:44 GMT", "version": "v1" }, { "created": "Mon, 30 Oct 2006 11:52:23 GMT", "version": "v2" }, { "created": "Tue, 3 Apr 2007 22:39:54 GMT", "version": "v3" } ]

2008-11-26

[ [ "Grover", "Jai", "" ], [ "Gutowski", "Jan B.", "" ], [ "Sabra", "Wafic A.", "" ] ]

Killing spinors of N=2, D=4 supergravity are examined using the spinorial geometry method, in which spinors are written as differential forms. By making use of methods developed in hep-th/0606049 to analyze preons in type IIB supergravity, we show that there are no simply connected solutions preserving exactly 3/4 of the supersymmetry.

11.310062

7.455979

9.751168

7.372611

7.219098

7.33636

7.090361

7.378997

7.916838

11.585121

7.452908

7.869819

9.981113

7.990641

7.887967

8.081436

8.361375

8.118382

7.843544

9.418062

8.160317

2007.13905

Jacob Bourjaily

Jacob L. Bourjaily, Enrico Herrmann, Cameron Langer, and Jaroslav Trnka

Building Bases of Loop Integrands

76 pages, 6 tables, hundreds of figures. Ancillary file includes our results for three loops

null

10.1007/JHEP11(2020)116

null

hep-th

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

We describe a systematic approach to the construction of loop-integrand bases at arbitrary loop-order, sufficient for the representation of general quantum field theories. We provide a graph-theoretic definition of `power-counting' for multi-loop integrands beyond the planar limit, and show how this can be used to organize bases according to ultraviolet behavior. This allows amplitude integrands to be constructed iteratively. We illustrate these ideas with concrete applications. In particular, we describe complete integrand bases at two loops sufficient to represent arbitrary-multiplicity amplitudes in four (or fewer) dimensions in any massless quantum field theory with the ultraviolet behavior of the Standard Model or better. We also comment on possible extensions of our framework to arbitrary (including regulated) numbers of dimensions, and to theories with arbitrary mass spectra and charges. At three loops, we describe a basis sufficient to capture all `leading-(transcendental-)weight' contributions of any four-dimensional quantum theory; for maximally supersymmetric Yang-Mills theory, this basis should be sufficient to represent all scattering amplitude integrands in the theory---for generic helicities and arbitrary multiplicity.

[ { "created": "Mon, 27 Jul 2020 23:07:56 GMT", "version": "v1" } ]

2020-12-30

[ [ "Bourjaily", "Jacob L.", "" ], [ "Herrmann", "Enrico", "" ], [ "Langer", "Cameron", "" ], [ "Trnka", "Jaroslav", "" ] ]

We describe a systematic approach to the construction of loop-integrand bases at arbitrary loop-order, sufficient for the representation of general quantum field theories. We provide a graph-theoretic definition of `power-counting' for multi-loop integrands beyond the planar limit, and show how this can be used to organize bases according to ultraviolet behavior. This allows amplitude integrands to be constructed iteratively. We illustrate these ideas with concrete applications. In particular, we describe complete integrand bases at two loops sufficient to represent arbitrary-multiplicity amplitudes in four (or fewer) dimensions in any massless quantum field theory with the ultraviolet behavior of the Standard Model or better. We also comment on possible extensions of our framework to arbitrary (including regulated) numbers of dimensions, and to theories with arbitrary mass spectra and charges. At three loops, we describe a basis sufficient to capture all `leading-(transcendental-)weight' contributions of any four-dimensional quantum theory; for maximally supersymmetric Yang-Mills theory, this basis should be sufficient to represent all scattering amplitude integrands in the theory---for generic helicities and arbitrary multiplicity.

10.122471

10.886481

12.052871

10.38721

11.99422

11.370291

10.950621

10.485654

10.771367

11.996742

10.273195

10.286806

10.097363

9.82016

10.258579

10.484482

10.325142

10.242471

10.175389

9.999566

10.155717

hep-th/9504118

Manfred Requardt

M. Requardt

Discrete Mathematics and Physics on the Planck-Scale

21 pages, Latex

null

GOET-TP 101/95

hep-th

null

Starting from the hypothesis that both physics, in particular space-time and the physical vacuum, and the corresponding mathematics are discrete on the Planck scale we develop a certain framework in form of a '{\it cellular network}' consisting of cells interacting with each other via bonds. Both the internal states of the cells and the "strength" of the bonds are assumed to be dynamical variables. In section 3 the basis is laid for a version of '{\it discrete analysis}' which, starting from different, perhaps more physically oriented principles, manages to make contact with the much more abstract machinery of Connes et al. and may complement the latter approach. In section 4 a, as far as we can see, new concept of '{\it topological dimension}' in form of a '{\it degree of connectivity}' for graphs, networks and the like is developed. It is then indicated how this '{\it dimension}', which for continuous structures or lattices being embedded in a continuous background agrees with the usual notion of dimension, may change dynamically as a result of a '{\it phase transition like}' change in '{\it connectivity}' in the network. A certain speculative argument, along the lines of statistical mechanics, is supplied in favor of the naturalness of dimension 4 of ordinary (classical) space-time.

[ { "created": "Mon, 24 Apr 1995 13:12:23 GMT", "version": "v1" } ]

2015-01-03

[ [ "Requardt", "M.", "" ] ]

Starting from the hypothesis that both physics, in particular space-time and the physical vacuum, and the corresponding mathematics are discrete on the Planck scale we develop a certain framework in form of a '{\it cellular network}' consisting of cells interacting with each other via bonds. Both the internal states of the cells and the "strength" of the bonds are assumed to be dynamical variables. In section 3 the basis is laid for a version of '{\it discrete analysis}' which, starting from different, perhaps more physically oriented principles, manages to make contact with the much more abstract machinery of Connes et al. and may complement the latter approach. In section 4 a, as far as we can see, new concept of '{\it topological dimension}' in form of a '{\it degree of connectivity}' for graphs, networks and the like is developed. It is then indicated how this '{\it dimension}', which for continuous structures or lattices being embedded in a continuous background agrees with the usual notion of dimension, may change dynamically as a result of a '{\it phase transition like}' change in '{\it connectivity}' in the network. A certain speculative argument, along the lines of statistical mechanics, is supplied in favor of the naturalness of dimension 4 of ordinary (classical) space-time.

12.054538

12.663407

12.296475

11.409353

12.594511

11.778269

12.97267

11.929214

11.662147

12.328064

11.720529

11.391645

11.105124

11.172088

11.535601

11.448889

11.37972

11.307722

11.283777

11.536761

11.306379

hep-th/9910039

Tomas Sykora

Schwinger terms of the commutator of two interacting currents in the 1+1 dimensions

10 pages, REVTeX (tighten), added reference [13], supplemented content

null

hep-th

null

We calculate the equal-time commutator of two fermionic currents within the framework of the 1+1 dimensional fully quantized theory, describing the interaction of massive fermions with a massive vector boson. It is shown that the interaction does not change the result obtained within the theory of free fermions.

[ { "created": "Tue, 5 Oct 1999 17:53:21 GMT", "version": "v1" }, { "created": "Fri, 8 Oct 1999 16:19:22 GMT", "version": "v2" } ]

2007-05-23

[ [ "Sykora", "Tomas", "" ] ]

We calculate the equal-time commutator of two fermionic currents within the framework of the 1+1 dimensional fully quantized theory, describing the interaction of massive fermions with a massive vector boson. It is shown that the interaction does not change the result obtained within the theory of free fermions.

7.949937

6.642436

7.216821

6.240763

6.628454

6.203909

5.998404

6.04092

6.485888

6.798072

6.819919

6.64153

6.626038

6.463665

6.701548

6.42226

6.402913

6.381304

6.459723

6.61831

6.489244

hep-th/0201063

Glenn D. Starkman

Salah Nasri, Pedro J. Silva, Glenn D. Starkman and Mark Trodden

Radion Stabilization in Compact Hyperbolic Extra Dimensions

16 pages, 1 figure

Phys.Rev. D66 (2002) 045029

10.1103/PhysRevD.66.045029

null

hep-th gr-qc hep-ph

null

We consider radion stabilization in hyperbolic brane-world scenarios. We demonstrate that in the context of Einstein gravity, matter fields which stabilize the extra dimensions must violate the null energy condition. This result is shown to hold even allowing for FRW-like expansion on the brane. In particular, we explicitly demonstrate how one putative source of stabilizing matter fails to work, and how others violate the above condition. We speculate on a number of ways in which we may bypass this result, including the effect of Casimir energy in these spaces. A brief discussion of supersymmetry in these backgrounds is also given.

[ { "created": "Thu, 10 Jan 2002 03:12:22 GMT", "version": "v1" } ]

2009-11-07

[ [ "Nasri", "Salah", "" ], [ "Silva", "Pedro J.", "" ], [ "Starkman", "Glenn D.", "" ], [ "Trodden", "Mark", "" ] ]

We consider radion stabilization in hyperbolic brane-world scenarios. We demonstrate that in the context of Einstein gravity, matter fields which stabilize the extra dimensions must violate the null energy condition. This result is shown to hold even allowing for FRW-like expansion on the brane. In particular, we explicitly demonstrate how one putative source of stabilizing matter fails to work, and how others violate the above condition. We speculate on a number of ways in which we may bypass this result, including the effect of Casimir energy in these spaces. A brief discussion of supersymmetry in these backgrounds is also given.

12.064567

11.251278

11.378371

11.028361

11.999411

11.807084

11.415816

11.146719

11.260762

12.31354

10.867723

10.733976

11.517647

11.292368

10.948135

11.044662

11.17724

10.863732

11.092001

11.697525

10.797681

1301.3796

Bin Wu

On holographic thermalization and gravitational collapse of tachyonic scalar fields

24 pages, 13 figures, minor modifications, references added, final version to appear in JHEP

JHEP 1304 (2013) 044

10.1007/JHEP04(2013)044

null

hep-th gr-qc hep-ph nucl-th

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

In this paper we study the thermalization of a spatially homogeneous system in a strongly coupled CFT. The non-equilibrium initial state is created by switching on a relevant perturbation in the CFT vacuum during Delta t >= t >= -Delta t. Via AdS/CFT, the thermalization process corresponds to the gravitational collapse of a tachyonic scalar field (m^2 = -3) in the Poincare patch of AdS_5. In the limit Delta t < 0.02/T, the thermalization time t_T is found to be quantitatively the same as that of a non-equilibrium state created by a marginal perturbation discussed in Ref. [5]. In the case Delta t >= 1/T, we also obtain double-collapse solutions but with a non-equilibrium intermediate state at t = 0. In all the cases our results show that the system thermalizes in a typical time t_T ~ O(1)/T. Besides, a conserved energy-moment current in the bulk is found, which helps understand the qualitative difference of the collapse process in the Poincare patch from that in global AdS[9, 10].

[ { "created": "Wed, 16 Jan 2013 19:29:55 GMT", "version": "v1" }, { "created": "Sun, 24 Mar 2013 14:20:45 GMT", "version": "v2" } ]

2013-04-09

[ [ "Wu", "Bin", "" ] ]

In this paper we study the thermalization of a spatially homogeneous system in a strongly coupled CFT. The non-equilibrium initial state is created by switching on a relevant perturbation in the CFT vacuum during Delta t >= t >= -Delta t. Via AdS/CFT, the thermalization process corresponds to the gravitational collapse of a tachyonic scalar field (m^2 = -3) in the Poincare patch of AdS_5. In the limit Delta t < 0.02/T, the thermalization time t_T is found to be quantitatively the same as that of a non-equilibrium state created by a marginal perturbation discussed in Ref. [5]. In the case Delta t >= 1/T, we also obtain double-collapse solutions but with a non-equilibrium intermediate state at t = 0. In all the cases our results show that the system thermalizes in a typical time t_T ~ O(1)/T. Besides, a conserved energy-moment current in the bulk is found, which helps understand the qualitative difference of the collapse process in the Poincare patch from that in global AdS[9, 10].

8.259008

8.322628

9.062571

8.089873

8.393046

8.788143

8.918317

8.56578

8.219727

9.563729

7.576417

7.732011

8.332651

7.762793

7.77004

7.755491

7.799629

8.053888

7.768747

8.530042

7.966621

1706.00965

Bartlomiej Czech

Einstein's Equations from Varying Complexity

4 pages, 2 figures

Phys. Rev. Lett. 120, 031601 (2018)

10.1103/PhysRevLett.120.031601

null

hep-th

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

A recent proposal equates the circuit complexity of a quantum gravity state with the gravitational action of a certain patch of spacetime. Since Einstein's equations follow from varying the action, it should be possible to derive them by varying complexity. I present such a derivation for vacuum solutions of pure Einstein gravity in three-dimensional asymptotically anti-de Sitter space. The argument relies on known facts about holography and on properties of Tensor Network Renormalization, an algorithm for coarse-graining (and optimizing) tensor networks.

[ { "created": "Sat, 3 Jun 2017 14:59:54 GMT", "version": "v1" } ]

2018-01-24

[ [ "Czech", "Bartlomiej", "" ] ]

A recent proposal equates the circuit complexity of a quantum gravity state with the gravitational action of a certain patch of spacetime. Since Einstein's equations follow from varying the action, it should be possible to derive them by varying complexity. I present such a derivation for vacuum solutions of pure Einstein gravity in three-dimensional asymptotically anti-de Sitter space. The argument relies on known facts about holography and on properties of Tensor Network Renormalization, an algorithm for coarse-graining (and optimizing) tensor networks.

10.139162

8.422916

10.567323

8.601908

9.882022

8.087916

8.228775

8.692815

9.232782

11.107578

8.934645

8.906634

8.862902

8.566603

8.425277

8.635332

8.49465

8.168417

8.20427

8.50598

8.493404

hep-th/9603191

Bernard de Wit

B. de Wit

N=2 symplectic reparametrizations in a chiral background

LateX. To appear in the proceedings of the Workshop on recent developments in theoretical physics, ``STU-Dualities and nonperturbative behaviour in superstrings and supergravity, CERN Theory Division, 1995

Fortsch.Phys.44:529-538,1996

10.1002/prop.2190440606

THU-96/14

hep-th

null

We study the symplectic reparametrizations that are possible for theories of N=2 supersymmetric vector multiplets in the presence of a chiral background and discuss some of their consequences. One of them concerns an anomaly arising from a conflict between symplectic covariance and holomorphy.

[ { "created": "Thu, 28 Mar 1996 18:53:03 GMT", "version": "v1" } ]

2011-04-15

[ [ "de Wit", "B.", "" ] ]

We study the symplectic reparametrizations that are possible for theories of N=2 supersymmetric vector multiplets in the presence of a chiral background and discuss some of their consequences. One of them concerns an anomaly arising from a conflict between symplectic covariance and holomorphy.

13.716459

11.510005

13.551772

11.470214

11.826319

10.939183

11.703059

12.518933

11.131427

14.381203

11.474114

11.300477

13.638158

11.421024

11.790718

11.853878

11.207101

11.893537

11.285275

11.985599

11.292285

1007.3970

Michel Pleimling

Djordje Minic and Michel Pleimling

The Jarzynski Identity and the AdS/CFT Duality

version to appear in Physics Letters B

Phys.Lett.B700:277-281,2011

10.1016/j.physletb.2011.05.021

null

hep-th cond-mat.stat-mech

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

We point out a remarkable analogy between the Jarzynski identity from non-equilibrium statistical physics and the AdS/CFT duality. We apply the logic that leads to the Jarzynski identity to renormalization group (RG) flows of quantum field theories and then argue for the natural connection with the AdS/CFT duality formula. This application can be in principle checked in Monte Carlo simulations of RG flows. Given the existing generalizations of the Jarzynski identity in non-equilibrium statistical physics, and the analogy between the Jarzynski identity and the AdS/CFT duality, we are led to suggest natural but novel generalizations of the AdS/CFT dictionary.

[ { "created": "Thu, 22 Jul 2010 18:50:26 GMT", "version": "v1" }, { "created": "Tue, 26 Apr 2011 02:57:31 GMT", "version": "v2" } ]

2011-06-10

[ [ "Minic", "Djordje", "" ], [ "Pleimling", "Michel", "" ] ]

We point out a remarkable analogy between the Jarzynski identity from non-equilibrium statistical physics and the AdS/CFT duality. We apply the logic that leads to the Jarzynski identity to renormalization group (RG) flows of quantum field theories and then argue for the natural connection with the AdS/CFT duality formula. This application can be in principle checked in Monte Carlo simulations of RG flows. Given the existing generalizations of the Jarzynski identity in non-equilibrium statistical physics, and the analogy between the Jarzynski identity and the AdS/CFT duality, we are led to suggest natural but novel generalizations of the AdS/CFT dictionary.

6.401546

6.166549

6.431205

5.921421

6.063863

6.180755

6.093665

5.850206

6.147393

6.823688

6.069386

6.008424

6.103854

6.037635

6.041503

5.97297

5.863796

5.856383

5.836522

6.082388

5.832961

0909.3841

Petr Horava

Petr Horava, Charles M. Melby-Thompson

Anisotropic Conformal Infinity

11 pages

Gen.Rel.Grav.43:1391-1400,2011

10.1007/s10714-010-1117-y

null

hep-th gr-qc math.DG

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

We generalize Penrose's notion of conformal infinity of spacetime, to situations with anisotropic scaling. This is relevant not only for Lifshitz-type anisotropic gravity models, but also in standard general relativity and string theory, for spacetimes exhibiting a natural asymptotic anisotropy. Examples include the Lifshitz and Schrodinger spaces (proposed as AdS/CFT duals of nonrelativistic field theories), warped AdS_3, and the near-horizon extreme Kerr geometry. The anisotropic conformal boundary appears crucial for resolving puzzles of holographic renormalization in such spacetimes.

[ { "created": "Mon, 21 Sep 2009 20:00:02 GMT", "version": "v1" } ]

2012-01-23

[ [ "Horava", "Petr", "" ], [ "Melby-Thompson", "Charles M.", "" ] ]

We generalize Penrose's notion of conformal infinity of spacetime, to situations with anisotropic scaling. This is relevant not only for Lifshitz-type anisotropic gravity models, but also in standard general relativity and string theory, for spacetimes exhibiting a natural asymptotic anisotropy. Examples include the Lifshitz and Schrodinger spaces (proposed as AdS/CFT duals of nonrelativistic field theories), warped AdS_3, and the near-horizon extreme Kerr geometry. The anisotropic conformal boundary appears crucial for resolving puzzles of holographic renormalization in such spacetimes.

9.247357

7.930762

8.167668

7.032054

7.736746

7.243907

7.3156

6.852845

7.350515

7.11721

7.317982

7.292917

7.271753

6.92091

6.824474

6.891037

6.959262

7.132006

6.812563

7.348604

6.824194

hep-th/9804016

D. V. Antonov

D.V.Antonov (Humboldt University, Berlin and ITEP, Moscow)

Gluodynamics String as a Low-Energy Limit of the Universal Confining String Theory

11 pages, LaTeX, no figures, 2 references are updated, to be published in Phys. Lett. B

Phys.Lett. B427 (1998) 274-282

10.1016/S0370-2693(98)00337-2

null

hep-th

null

An effective string theory emerging from the bilocal approximation to the Method of Vacuum Correlators in gluodynamics is shown to be well described by the 4D theory of the massive Abelian Kalb-Ramond field interacting with the string, which is known to be the low-energy limit of the Universal Confining String Theory. The mass of the Kalb-Ramond field in this approach plays the role of the inverse correlation length of the vacuum, and it is shown that in the massless limit string picture disappears. The background field method, known in the theory of nonlinear sigma models, is applied to derivation of the effective action, quadratic in quantum fluctuations around a given (e.g. minimal) string world-sheet.

[ { "created": "Thu, 2 Apr 1998 11:28:14 GMT", "version": "v1" }, { "created": "Fri, 3 Apr 1998 11:53:30 GMT", "version": "v2" } ]

2009-10-31

[ [ "Antonov", "D. V.", "", "Humboldt University, Berlin and ITEP, Moscow" ] ]

An effective string theory emerging from the bilocal approximation to the Method of Vacuum Correlators in gluodynamics is shown to be well described by the 4D theory of the massive Abelian Kalb-Ramond field interacting with the string, which is known to be the low-energy limit of the Universal Confining String Theory. The mass of the Kalb-Ramond field in this approach plays the role of the inverse correlation length of the vacuum, and it is shown that in the massless limit string picture disappears. The background field method, known in the theory of nonlinear sigma models, is applied to derivation of the effective action, quadratic in quantum fluctuations around a given (e.g. minimal) string world-sheet.

11.643843

7.537966

9.974484

7.801286

10.384657

9.917086

9.215345

7.695378

7.812534

11.995006

8.240737

9.584899

10.167815

9.521496

10.041814

9.874809

10.202887

9.549293

9.688666

9.699312

10.039116

1811.09390

Satoshi Yamaguchi

't Hooft anomaly matching condition and chiral symmetry breaking without bilinear condensate

14 pages, no figure. v2: typos corrected. Comments and references added. v3: Discussion on domain-walls added, commens added. v4: minor change

null

10.1007/JHEP01(2019)014

OU-HET-988

hep-th

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

We explore 4-dimensional SU(N) gauge theory with a Weyl fermion in an irreducible self-conjugate representation. This theory, in general, has a discrete chiral symmetry. We use 't Hooft anomaly matching condition of the center symmetry and the chiral symmetry, and find constraints on the spontaneous chiral symmetry breaking in the confining phase. The domain-walls connecting different vacua are discussed from the point of view of the 't Hooft anomaly. We consider the SU(6) gauge theory with a Weyl fermion in the rank 3 anti-symmetric representation as an example. It is argued that this theory is likely to be in the confining phase. The chiral symmetry $\mathbb{Z}_6$ should be spontaneously broken to $\mathbb{Z}_2$ under the assumption of the confinement, although there cannot be any fermion bilinear condensate in this theory.

[ { "created": "Fri, 23 Nov 2018 08:52:16 GMT", "version": "v1" }, { "created": "Mon, 3 Dec 2018 10:45:09 GMT", "version": "v2" }, { "created": "Mon, 17 Dec 2018 09:15:44 GMT", "version": "v3" }, { "created": "Sat, 22 Dec 2018 10:35:16 GMT", "version": "v4" } ]

2019-01-30

[ [ "Yamaguchi", "Satoshi", "" ] ]

We explore 4-dimensional SU(N) gauge theory with a Weyl fermion in an irreducible self-conjugate representation. This theory, in general, has a discrete chiral symmetry. We use 't Hooft anomaly matching condition of the center symmetry and the chiral symmetry, and find constraints on the spontaneous chiral symmetry breaking in the confining phase. The domain-walls connecting different vacua are discussed from the point of view of the 't Hooft anomaly. We consider the SU(6) gauge theory with a Weyl fermion in the rank 3 anti-symmetric representation as an example. It is argued that this theory is likely to be in the confining phase. The chiral symmetry $\mathbb{Z}_6$ should be spontaneously broken to $\mathbb{Z}_2$ under the assumption of the confinement, although there cannot be any fermion bilinear condensate in this theory.

4.879624

4.851174

4.841906

4.728017

5.093126

4.904402

4.783988

5.147499

4.598011

5.343355

4.725555

4.809535

4.841199

4.676694

4.698925

4.70747

4.805743

4.692855

4.644915

4.757773

4.680471

1005.5104

Debaprasad Maity

Debaprasad Maity, Pisin Chen

Cosmological Behavior of a Parity and Charge-Parity Violating Varying Alpha Theory

20 pages, No figure, Matched with the published version

Phys.Rev.D83:083516,2011

10.1103/PhysRevD.83.083516

null

hep-th astro-ph.CO gr-qc

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

In this report we construct a phenomenological model in which the time variation of the fine structure constant, $\alpha$, is induced by a parity and charge-parity (PCP) violating interaction. Such a PCP violation in the photon sector has a distinct physical origin from that in the conventional models of this kind. We calculate the cosmological birefringence so induced in our model and show that it in turn produces a new non-vanishing multipole moment correlation between the temperature and the polarization anisotropies in the CMB spectrum. We have also calculated the amount of optical rotation due to a strong background magnetic field and the effect of our new PCP violating term on the variation of $\alpha$ during the cosmic evolution. We found that only in the radiation dominated era can the contribution of the new PCP violating term to the variation of $\alpha$ be non-vanishing.

[ { "created": "Thu, 27 May 2010 16:15:53 GMT", "version": "v1" }, { "created": "Mon, 28 Mar 2011 04:42:53 GMT", "version": "v2" }, { "created": "Tue, 19 Apr 2011 16:13:12 GMT", "version": "v3" } ]

2011-04-20

[ [ "Maity", "Debaprasad", "" ], [ "Chen", "Pisin", "" ] ]

In this report we construct a phenomenological model in which the time variation of the fine structure constant, $\alpha$, is induced by a parity and charge-parity (PCP) violating interaction. Such a PCP violation in the photon sector has a distinct physical origin from that in the conventional models of this kind. We calculate the cosmological birefringence so induced in our model and show that it in turn produces a new non-vanishing multipole moment correlation between the temperature and the polarization anisotropies in the CMB spectrum. We have also calculated the amount of optical rotation due to a strong background magnetic field and the effect of our new PCP violating term on the variation of $\alpha$ during the cosmic evolution. We found that only in the radiation dominated era can the contribution of the new PCP violating term to the variation of $\alpha$ be non-vanishing.

7.972631

9.003566

7.723734

7.346394

7.868764

9.037331

8.545428

7.652092

7.404081

7.910254

7.683259

8.056129

7.6978

7.687271

7.775774

7.686252

7.936937

7.681941

7.615266

7.448965

7.80398

1902.02991

Hiroshi Kunitomo

Hiroshi Kunitomo and Tatsuya Sugimoto

Heterotic string field theory with cyclic L-infinity structure

31 pages, 1figure, section for four point amplitudes is inserted; v3 English has been improved; v4 English is improved, Eq(5.16b) is corrected (published as erratum), Eq (A.19) is added

Prog Theor Exp Phys (2019)

10.1093/ptep/ptz051

YITP-19-08

hep-th

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

We construct a complete heterotic string field theory that includes both the Neveu-Schwarz and Ramond sectors. We give a construction of general string products, which realizes a cyclic L-infinity structure and thus provides with a gauge-invariant action in the homotopy algebraic formulation. Through a map of the string fields, we also give the Wess-Zumino-Witten-like action in the large Hilbert space, and verify its gauge invariance independently.

[ { "created": "Fri, 8 Feb 2019 09:38:37 GMT", "version": "v1" }, { "created": "Fri, 19 Apr 2019 09:10:03 GMT", "version": "v2" }, { "created": "Thu, 30 May 2019 06:37:54 GMT", "version": "v3" }, { "created": "Tue, 12 Nov 2019 05:13:27 GMT", "version": "v4" } ]

2019-12-06

[ [ "Kunitomo", "Hiroshi", "" ], [ "Sugimoto", "Tatsuya", "" ] ]

We construct a complete heterotic string field theory that includes both the Neveu-Schwarz and Ramond sectors. We give a construction of general string products, which realizes a cyclic L-infinity structure and thus provides with a gauge-invariant action in the homotopy algebraic formulation. Through a map of the string fields, we also give the Wess-Zumino-Witten-like action in the large Hilbert space, and verify its gauge invariance independently.

9.935441

8.035953

12.956043

8.667762

8.287612

7.253802

7.29135

8.181264

8.811358

12.828585

8.373636

8.810791

10.282841

8.976036

8.372666

8.471064

8.659722

8.937915

9.417761

10.08891

9.273039

hep-th/0412064

Martin Bucher

Martin Bucher (Universite Paris-Sud, France and DAMTP, University of Cambridge) and Carla Carvalho (Universitat de Barcelona and DAMTP, University of Cambridge)

Linearized Israel Matching Conditions for Cosmological Perturbations in a Moving Brane Background

35 pages, RevTeX, with two eps figures

Phys.Rev. D71 (2005) 083511

10.1103/PhysRevD.71.083511

ORSAY LPT 04-118, DAMTP-2004-126

hep-th

null

With a view toward the problem of computing the linearized cosmological perturbations in Randall-Sundrum cosmological models where a Z2 symmetry has been imposed about a boundary brane, we derive the form of the linearized Israel matching conditions and the auxiliary gauge conditions on the boundary when Lorentz gauge has been imposed in the bulk. This gauge is completely covariant and local, manifestly respecting all the AdS5 symmetries in the bulk and not relying on a decomposition into pure scalar, vector, and tensor sectors, which is necessarily nonlocal. We demonstrate that the auxiliary gauge conditions on the boundary ensure that bulk gravitons upon reflection off the brane do not emit polarizations that violate the bulk Lorentz gauge condition. We also characterize the residual gauge freedom, embodied by five longitudinal (pure gauge) graviton polarizations in the bulk, four of which correspond to reparameterizations of the induced brane metric and one of which corresponds to normal displacements of the brane.

[ { "created": "Tue, 7 Dec 2004 14:29:21 GMT", "version": "v1" } ]

2009-11-10

[ [ "Bucher", "Martin", "", "Universite Paris-Sud, France and DAMTP, University of\n Cambridge" ], [ "Carvalho", "Carla", "", "Universitat de Barcelona and DAMTP, University\n of Cambridge" ] ]

With a view toward the problem of computing the linearized cosmological perturbations in Randall-Sundrum cosmological models where a Z2 symmetry has been imposed about a boundary brane, we derive the form of the linearized Israel matching conditions and the auxiliary gauge conditions on the boundary when Lorentz gauge has been imposed in the bulk. This gauge is completely covariant and local, manifestly respecting all the AdS5 symmetries in the bulk and not relying on a decomposition into pure scalar, vector, and tensor sectors, which is necessarily nonlocal. We demonstrate that the auxiliary gauge conditions on the boundary ensure that bulk gravitons upon reflection off the brane do not emit polarizations that violate the bulk Lorentz gauge condition. We also characterize the residual gauge freedom, embodied by five longitudinal (pure gauge) graviton polarizations in the bulk, four of which correspond to reparameterizations of the induced brane metric and one of which corresponds to normal displacements of the brane.

10.325125

11.550869

11.384062

9.904159

10.581843

10.981118

10.348519

10.09606

10.122414

11.931716

9.881272

9.779559

9.928636

9.846028

9.770992

10.097338

10.338489

9.68386

9.726498

10.09085

10.033406

1202.6566

Andrei Smilga

A. V. Smilga

Once more on the Witten index of 3d supersymmetric YM-CS theory

27 pages

null

10.1007/JHEP05(2012)103

null

hep-th math-ph math.MP

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

The problem of counting the vacuum states in the supersymmetric 3d Yang-Mills-Chern-Simons theory is reconsidered. We resolve the controversy between its original calculation by Witten at large volumes and the calculation based on the evaluation of the effective Lagrangian in the small volume limit. We show that the latter calculation suffers from uncertainties associated with the singularities in the moduli space of classical vacua where the Born-Oppenheimer approximation breaks down. We also show that these singularities can be accurately treated in the Hamiltonian Born-Oppenheimer method, where one has to match carefully the effective wave functions on the Abelian valley and the wave functions of reduced non-Abelian QM theory near the singularities. This gives the same result as original Witten's calculation.

[ { "created": "Wed, 29 Feb 2012 15:03:31 GMT", "version": "v1" } ]

2015-06-04

[ [ "Smilga", "A. V.", "" ] ]

The problem of counting the vacuum states in the supersymmetric 3d Yang-Mills-Chern-Simons theory is reconsidered. We resolve the controversy between its original calculation by Witten at large volumes and the calculation based on the evaluation of the effective Lagrangian in the small volume limit. We show that the latter calculation suffers from uncertainties associated with the singularities in the moduli space of classical vacua where the Born-Oppenheimer approximation breaks down. We also show that these singularities can be accurately treated in the Hamiltonian Born-Oppenheimer method, where one has to match carefully the effective wave functions on the Abelian valley and the wave functions of reduced non-Abelian QM theory near the singularities. This gives the same result as original Witten's calculation.

10.19016

9.079938

10.620186

9.137715

9.614442

9.2936

9.028083

9.44532

8.956359

11.506833

9.964515

9.48531

9.888435

9.321392

9.192119

9.618718

9.484398

9.355189

9.572212

9.716642

9.584435

1508.00884

David Schaich

David Schaich and Simon Catterall

Maximally supersymmetric Yang-Mills on the lattice

Contribution to the Sakata Memorial KMI Workshop on "Origin of Mass and Strong Coupling Gauge Theories" (SCGT15), 3--6 March 2015, Nagoya University

Int. J. Mod. Phys. A 32, 1747019 (2017)

10.1142/9789813231467_0028 10.1142/S0217751X17470194

null

hep-th hep-lat

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

We summarize recent progress in lattice studies of four-dimensional N=4 supersymmetric Yang--Mills theory and present preliminary results from ongoing investigations. Our work is based on a construction that exactly preserves a single supersymmetry at non-zero lattice spacing, and we review a new procedure to regulate flat directions by modifying the moduli equations in a manner compatible with this supersymmetry. This procedure defines an improved lattice action that we have begun to use in numerical calculations. We discuss some highlights of these investigations, including the static potential and an update on the question of a possible sign problem in the lattice theory.

[ { "created": "Tue, 4 Aug 2015 19:45:49 GMT", "version": "v1" } ]

2018-04-17

[ [ "Schaich", "David", "" ], [ "Catterall", "Simon", "" ] ]

We summarize recent progress in lattice studies of four-dimensional N=4 supersymmetric Yang--Mills theory and present preliminary results from ongoing investigations. Our work is based on a construction that exactly preserves a single supersymmetry at non-zero lattice spacing, and we review a new procedure to regulate flat directions by modifying the moduli equations in a manner compatible with this supersymmetry. This procedure defines an improved lattice action that we have begun to use in numerical calculations. We discuss some highlights of these investigations, including the static potential and an update on the question of a possible sign problem in the lattice theory.

10.883579

11.725954

11.29481

10.513534

10.38562

11.250889

11.481087

9.990478

10.488071

12.16133

10.57949

9.937253

10.528807

10.157349

9.867786

10.055357

10.238588

9.913722

10.304447

10.947746

9.949659

1012.4344

Harold Steinacker

Daniel N. Blaschke, Harold Steinacker, Michael Wohlgenannt

Heat kernel expansion and induced action for the matrix model Dirac operator

44 pages

JHEP 1103:002,2011

10.1007/JHEP03(2011)002

UWThPh-2010-14

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

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

We compute the quantum effective action induced by integrating out fermions in Yang-Mills matrix models on a 4-dimensional background, expanded in powers of a gauge-invariant UV cutoff. The resulting action is recast into the form of generalized matrix models, manifestly preserving the SO(D) symmetry of the bare action. This provides noncommutative (NC) analogs of the Seeley-de Witt coefficients for the emergent gravity which arises on NC branes, such as curvature terms. From the gauge theory point of view, this provides strong evidence that the NC N=4 SYM has a hidden SO(10) symmetry even at the quantum level, which is spontaneously broken by the space-time background. The geometrical view proves to be very powerful, and allows to predict non-trivial loop computations in the gauge theory.

[ { "created": "Mon, 20 Dec 2010 14:28:19 GMT", "version": "v1" } ]

2011-03-18

[ [ "Blaschke", "Daniel N.", "" ], [ "Steinacker", "Harold", "" ], [ "Wohlgenannt", "Michael", "" ] ]

We compute the quantum effective action induced by integrating out fermions in Yang-Mills matrix models on a 4-dimensional background, expanded in powers of a gauge-invariant UV cutoff. The resulting action is recast into the form of generalized matrix models, manifestly preserving the SO(D) symmetry of the bare action. This provides noncommutative (NC) analogs of the Seeley-de Witt coefficients for the emergent gravity which arises on NC branes, such as curvature terms. From the gauge theory point of view, this provides strong evidence that the NC N=4 SYM has a hidden SO(10) symmetry even at the quantum level, which is spontaneously broken by the space-time background. The geometrical view proves to be very powerful, and allows to predict non-trivial loop computations in the gauge theory.

12.260436

11.710875

13.258368

11.557265

11.772365

11.274723

11.394171

12.264689

11.246466

12.763908

10.905736

11.328838

12.924151

11.686469

11.79189

11.898562

11.337302

11.776794

11.781293

12.700607

11.638988

hep-th/9709054

Shahin S. Jabbari

H. Arfaei and M.M. Sheikh-Jabbari

Mixed Boundary Conditions and Brane-String Bound States

Latex file, 20 pages, No Figures, some paragraphs added

Nucl.Phys.B526:278-294,1998

10.1016/S0550-3213(98)00360-5

IPM-97-216

hep-th

null

In this article we consider open strings with mixed boundary conditions (a combination of Neumann and Dirichlet conditions at each end). We discuss how their end points show a $D_p$-brane with NS-NS charge, i.e. a bound state of a D-brane with a fundamental strings. We show that these branes are BPS saturated. In the case of one-branes, we show that their mass densities are in agreement with IIb SUGRA which is Sl(2,Z) invariant. Using Chan-Paton factors, we extend our results to the case of bound states of $n$ D-strings and $m$ F-strings. These string theoretic results are also checked in the effective field theory limit.

[ { "created": "Mon, 8 Sep 1997 07:26:18 GMT", "version": "v1" }, { "created": "Wed, 15 Oct 1997 13:05:46 GMT", "version": "v2" }, { "created": "Mon, 24 Nov 1997 13:03:25 GMT", "version": "v3" }, { "created": "Thu, 23 Apr 1998 11:02:56 GMT", "version": "v4" } ]

2009-10-07

[ [ "Arfaei", "H.", "" ], [ "Sheikh-Jabbari", "M. M.", "" ] ]

In this article we consider open strings with mixed boundary conditions (a combination of Neumann and Dirichlet conditions at each end). We discuss how their end points show a $D_p$-brane with NS-NS charge, i.e. a bound state of a D-brane with a fundamental strings. We show that these branes are BPS saturated. In the case of one-branes, we show that their mass densities are in agreement with IIb SUGRA which is Sl(2,Z) invariant. Using Chan-Paton factors, we extend our results to the case of bound states of $n$ D-strings and $m$ F-strings. These string theoretic results are also checked in the effective field theory limit.

8.442941

8.710283

9.265305

8.053569

8.738176

7.838255

8.341481

8.255409

8.158518

10.191065

7.958349

8.178825

8.434193

8.047336

8.141577

8.051639

8.235476

7.835977

7.810951

8.268993

8.059451

hep-th/0302136

Skenderis Kostas

Sebastian de Haro, Annamaria Sinkovics and Kostas Skenderis

On alpha'-corrections to D-brane solutions

37 pages, v2: PRD version

Phys.Rev. D68 (2003) 066001

10.1103/PhysRevD.68.066001

SWAT/310, UCLA/03/TEP/3, PUPT-2074, ITFA-2003-06

hep-th

null

We discuss the computation of the leading corrections to D-brane solutions due to higher derivative terms in the corresponding low energy effective action. We develop several alternative methods for analyzing the problem. In particular, we derive an effective one-dimensional action from which the field equations for spherically symmetric two-block brane solutions can be derived, show how to obtain first order equations, and discuss a few other approaches. We integrate the equations for extremal branes and obtain the corrections in terms of integrals of the evaluation of the higher derivative terms on the lowest order solution. To obtain completely explicit results one would need to know all leading higher derivative corrections which at present are not available. One of the known higher derivative terms is the R^4 term, and we obtain the corrections to the D3 brane solution due to this term alone. We note, however, that (unknown at present) higher terms depending on F_5 are expected to modify our result. We analyze the thermodynamics of brane solutions when such quantum corrections are present. We find that the R^4 term induces a correction to the tension and the electric potential of the D3 brane but not to its charge, and the tension is still proportional to the electric potential times the charge. In the near-horizon limit the corrected solution becomes AdS_5 \times S^5 with the same cosmological constant as the lowest order solution but a different value of the (constant) dilaton.

[ { "created": "Mon, 17 Feb 2003 22:10:15 GMT", "version": "v1" }, { "created": "Sat, 28 Jun 2003 12:13:58 GMT", "version": "v2" } ]

2009-11-10

[ [ "de Haro", "Sebastian", "" ], [ "Sinkovics", "Annamaria", "" ], [ "Skenderis", "Kostas", "" ] ]

We discuss the computation of the leading corrections to D-brane solutions due to higher derivative terms in the corresponding low energy effective action. We develop several alternative methods for analyzing the problem. In particular, we derive an effective one-dimensional action from which the field equations for spherically symmetric two-block brane solutions can be derived, show how to obtain first order equations, and discuss a few other approaches. We integrate the equations for extremal branes and obtain the corrections in terms of integrals of the evaluation of the higher derivative terms on the lowest order solution. To obtain completely explicit results one would need to know all leading higher derivative corrections which at present are not available. One of the known higher derivative terms is the R^4 term, and we obtain the corrections to the D3 brane solution due to this term alone. We note, however, that (unknown at present) higher terms depending on F_5 are expected to modify our result. We analyze the thermodynamics of brane solutions when such quantum corrections are present. We find that the R^4 term induces a correction to the tension and the electric potential of the D3 brane but not to its charge, and the tension is still proportional to the electric potential times the charge. In the near-horizon limit the corrected solution becomes AdS_5 \times S^5 with the same cosmological constant as the lowest order solution but a different value of the (constant) dilaton.

7.95657

8.73933

8.882188

7.871345

8.914248

8.631459

8.720209

8.060534

8.080143

8.624492

7.694222

7.873908

8.213102

8.119298

7.961728

7.904496

8.028563

8.107664

7.962857

8.422115

7.866316

1303.0759

Maria J. Rodriguez

Alejandra Castro, Joshua M. Lapan, Alexander Maloney, and Maria J. Rodriguez

Black Hole Monodromy and Conformal Field Theory

20 pages, v2 minor corrections, updated references

null

10.1103/PhysRevD.88.044003

null

hep-th gr-qc

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

The analytic structure of solutions to the Klein-Gordon equation in a black hole background, as represented by monodromy data, is intimately related to black hole thermodynamics. It encodes the "hidden conformal symmetry" of a non-extremal black hole, and it explains why features of the inner event horizon appear in scattering data such as greybody factors. This indicates that hidden conformal symmetry is generic within a universality class of black holes.

[ { "created": "Mon, 4 Mar 2013 17:30:21 GMT", "version": "v1" }, { "created": "Tue, 23 Apr 2013 10:59:34 GMT", "version": "v2" } ]

2013-08-09

[ [ "Castro", "Alejandra", "" ], [ "Lapan", "Joshua M.", "" ], [ "Maloney", "Alexander", "" ], [ "Rodriguez", "Maria J.", "" ] ]

The analytic structure of solutions to the Klein-Gordon equation in a black hole background, as represented by monodromy data, is intimately related to black hole thermodynamics. It encodes the "hidden conformal symmetry" of a non-extremal black hole, and it explains why features of the inner event horizon appear in scattering data such as greybody factors. This indicates that hidden conformal symmetry is generic within a universality class of black holes.

10.67106

9.746564

11.4877

9.356744

10.129692

10.64447

9.948214

9.601975

8.760619

10.660558

8.877806

9.069306

9.307566

9.040973

9.407006

9.341709

8.9939

8.940245

8.971248

9.119345

9.049238

hep-th/9912152

Cumrun Vafa

T.R. Taylor and C. Vafa

RR Flux on Calabi-Yau and Partial Supersymmetry Breaking

14 pages, harvmac; final version for Physics Letters B

Phys.Lett.B474:130-137,2000

10.1016/S0370-2693(00)00005-8

HUTP-99/A073, NUB-3207

hep-th

null

We show how turning on Flux for RR (and NS-NS) field strengths on non-compact Calabi-Yau 3-folds can serve as a way to partially break supersymmetry from N=2 to N=1 by mass deformation. The freezing of the moduli of Calabi-Yau in the presence of the flux is the familiar phenomenon of freezing of fields in supersymmetric theories upon mass deformations.

[ { "created": "Thu, 16 Dec 1999 19:38:28 GMT", "version": "v1" }, { "created": "Wed, 26 Jan 2000 20:34:54 GMT", "version": "v2" } ]

2014-11-18

[ [ "Taylor", "T. R.", "" ], [ "Vafa", "C.", "" ] ]

We show how turning on Flux for RR (and NS-NS) field strengths on non-compact Calabi-Yau 3-folds can serve as a way to partially break supersymmetry from N=2 to N=1 by mass deformation. The freezing of the moduli of Calabi-Yau in the presence of the flux is the familiar phenomenon of freezing of fields in supersymmetric theories upon mass deformations.

14.542403

9.395351

12.476506

9.208155

10.098301

10.628996

9.781271

9.446734

10.111931

13.990716

9.508046

10.151115

12.230508

10.516012

10.270991

10.362942

10.277346

10.346313

10.259779

11.896719

10.106932

hep-th/9806054

Aleksandr Zheltukhin

S.N. Roshchupkin and A.A. Zheltukhin

Variational principle and a perturbative solution of non-linear string equations in curved space

22 pages, LATEX, no figures

Nucl.Phys. B543 (1999) 365-386

10.1016/S0550-3213(98)00838-4

null

hep-th

null

String dynamics in a curved space-time is studied on the basis of an action functional including a small parameter of rescaled tension $\epsilon=\gamma/\alpha^{\prime}$, where $\gamma$ is a metric parametrizing constant. A rescaled slow worldsheet time $T=\epsilon\tau$ is introduced, and general covariant non-linear string equation are derived. It is shown that in the first order of an $\epsilon $-expansion these equations are reduced to the known equation for geodesic derivation but complemented by a string oscillatory term. These equations are solved for the de Sitter and Friedmann -Robertson-Walker spaces. The primary string constraints are found to be split into a chain of perturbative constraints and their conservation and consistency are proved. It is established that in the proposed realization of the perturbative approach the string dynamics in the de Sitter space is stable for a large Hubble constant $H (\alpha^{\prime}H^{2}\gg1)$.

[ { "created": "Sat, 6 Jun 1998 16:00:23 GMT", "version": "v1" } ]

2009-10-31

[ [ "Roshchupkin", "S. N.", "" ], [ "Zheltukhin", "A. A.", "" ] ]

String dynamics in a curved space-time is studied on the basis of an action functional including a small parameter of rescaled tension $\epsilon=\gamma/\alpha^{\prime}$, where $\gamma$ is a metric parametrizing constant. A rescaled slow worldsheet time $T=\epsilon\tau$ is introduced, and general covariant non-linear string equation are derived. It is shown that in the first order of an $\epsilon $-expansion these equations are reduced to the known equation for geodesic derivation but complemented by a string oscillatory term. These equations are solved for the de Sitter and Friedmann -Robertson-Walker spaces. The primary string constraints are found to be split into a chain of perturbative constraints and their conservation and consistency are proved. It is established that in the proposed realization of the perturbative approach the string dynamics in the de Sitter space is stable for a large Hubble constant $H (\alpha^{\prime}H^{2}\gg1)$.

12.497868

13.099767

12.606183

11.781161

12.336443

12.871912

14.115009

12.021332

12.04115

14.234055

12.138955

11.525352

11.517238

11.223324

11.762693

12.026182

11.534944

11.429133

11.466188

11.865649

11.483003

0705.3789

Josef Karthauser

Josef L. P. Karthauser (University of Sussex), P. M. Saffin (University of Nottingham), Mark Hindmarsh (University of Sussex)

Cosmology with Twisted Tori

null

Phys.Rev.D76:104039,2007

10.1103/PhysRevD.76.104039

null

hep-th gr-qc

null

We consider the cosmological role of the scalar fields generated by the compactification of 11-dimensional Einstein gravity on a 7D elliptic twisted torus, which has the attractive features of giving rise to a positive semi-definite potential, and partially fixing the moduli. This compactification is therefore relevant for low energy M-theory, 11D supergravity. We find that slow-roll inflation with the moduli is not possible, but that there is a novel scaling solution in Friedmann cosmologies in which the massive moduli oscillate but maintain a constant energy density relative to the background barotropic fluid.

[ { "created": "Fri, 25 May 2007 15:26:39 GMT", "version": "v1" } ]

2008-11-26

[ [ "Karthauser", "Josef L. P.", "", "University of Sussex" ], [ "Saffin", "P. M.", "", "University of Nottingham" ], [ "Hindmarsh", "Mark", "", "University of Sussex" ] ]

We consider the cosmological role of the scalar fields generated by the compactification of 11-dimensional Einstein gravity on a 7D elliptic twisted torus, which has the attractive features of giving rise to a positive semi-definite potential, and partially fixing the moduli. This compactification is therefore relevant for low energy M-theory, 11D supergravity. We find that slow-roll inflation with the moduli is not possible, but that there is a novel scaling solution in Friedmann cosmologies in which the massive moduli oscillate but maintain a constant energy density relative to the background barotropic fluid.

12.074802

11.75047

13.016533

11.716237

12.427515

12.985396

11.387056

10.712

11.621202

13.86483

11.395994

11.573926

10.958686

11.062433

11.716572

11.672513

11.819409

11.617649

11.949259

11.730936

12.003434

hep-th/9310109

null

Salvatore De Martino, Silvio De Siena, Fabrizio Illuminati, and Giuseppe Vitiello

Minimum Uncertainty, Coherence and Squeezing in Diffusion Processes, and Stochastic Quantization

6 pages (LaTeX), to appear in Proceedings of the Third International Workshop on Squeezed States and Uncertainty Relations, NASA Conference Publications (in print)

null

hep-th cond-mat

null

We show that uncertainty relations, as well as minimum uncertainty coherent and squeezed states, are structural properties for diffusion processes. Through Nelson stochastic quantization we derive the stochastic image of the quantum mechanical coherent and squeezed states.

[ { "created": "Mon, 18 Oct 1993 10:53:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "De Martino", "Salvatore", "" ], [ "De Siena", "Silvio", "" ], [ "Illuminati", "Fabrizio", "" ], [ "Vitiello", "Giuseppe", "" ] ]

We show that uncertainty relations, as well as minimum uncertainty coherent and squeezed states, are structural properties for diffusion processes. Through Nelson stochastic quantization we derive the stochastic image of the quantum mechanical coherent and squeezed states.

26.323669

23.954262

26.071718

25.240273

22.117313

22.792171

25.17334

23.480967

22.586384

29.429865

23.740137

24.662031

23.817007

22.526705

23.705347

23.181894

23.275257

23.878435

24.681505

24.646418

21.339279

0805.4025

Hideki Maeda

Universal slow fall-off to the unique AdS infinity in Einstein-Gauss-Bonnet gravity

5 pages, no figures; v2, revised version, references added; v3, final version to appear in Physical Review D

Phys.Rev.D78:041503,2008

10.1103/PhysRevD.78.041503

CECS-PHY-08/07

hep-th gr-qc

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

In this paper, the following two propositions are proven under the dominant energy condition for the matter field in the higher-dimensional spherically symmetric spacetime in Einstein-Gauss-Bonnet gravity in the presence of a cosmological constant $\Lambda$. First, for $\Lambda\le 0$ and $\alpha \ge 0$ without a fine-tuning to give a unique anti-de Sitter vacuum, where $\alpha$ is the Gauss-Bonnet coupling constant, vanishing generalized Misner-Sharp mass is equivalent to the maximally symmetric spacetime. Under the fine-tuning, it is equivalent to the vacuum class I spacetime. Second, under the fine-tuning with $\alpha>0$, the asymptotically anti-de Sitter spacetime in the higher-dimensional Henneaux-Teitelboim sense is only a special class of the vacuum class I spacetime. The latter means the universal slow fall-off to the unique anti-de Sitter infinity in the presence of physically reasonable matter.

[ { "created": "Tue, 27 May 2008 17:21:15 GMT", "version": "v1" }, { "created": "Tue, 10 Jun 2008 19:28:07 GMT", "version": "v2" }, { "created": "Sat, 9 Aug 2008 22:48:15 GMT", "version": "v3" } ]

2010-05-12

[ [ "Maeda", "Hideki", "" ] ]

In this paper, the following two propositions are proven under the dominant energy condition for the matter field in the higher-dimensional spherically symmetric spacetime in Einstein-Gauss-Bonnet gravity in the presence of a cosmological constant $\Lambda$. First, for $\Lambda\le 0$ and $\alpha \ge 0$ without a fine-tuning to give a unique anti-de Sitter vacuum, where $\alpha$ is the Gauss-Bonnet coupling constant, vanishing generalized Misner-Sharp mass is equivalent to the maximally symmetric spacetime. Under the fine-tuning, it is equivalent to the vacuum class I spacetime. Second, under the fine-tuning with $\alpha>0$, the asymptotically anti-de Sitter spacetime in the higher-dimensional Henneaux-Teitelboim sense is only a special class of the vacuum class I spacetime. The latter means the universal slow fall-off to the unique anti-de Sitter infinity in the presence of physically reasonable matter.

7.599651

7.550265

7.077055

6.692257

7.266508

7.336096

8.098901

6.819555

7.432031

7.975802

7.244091

7.233995

6.997324

7.077311

6.997021

7.279553

7.464026

7.014915

7.128417

6.889953

7.20159

hep-th/9712249

Roman Paunov

H. Belich, G. Cuba and R. Paunov

Vertex Operator Representation of the Soliton Tau Functions in the $A_n^{(1)}$ Toda Models by Dressing Transformations

35 pages, LaTex

J.Math.Phys. 39 (1998) 5337-5363

10.1063/1.532575

CBPF-NF-061/97

hep-th nlin.SI solv-int

null

We study the relation between the group-algebraic approach and the dressing symmetry one to the soliton solutions of the $A_n^{(1)}$ Toda field theory in 1+1 dimensions. Originally solitons in the affine Toda models has been found by Olive, Turok and Underwood. Single solitons are created by exponentials of elements which ad-diagonalize the principal Heisenberg subalgebra. Alternatively Babelon and Bernard exploited the dressing symmetry to reproduce the known expressions for the fundamental tau functions in the sine-Gordon model. In this paper we show the equivalence between these two methods to construct solitons in the $A_n^{(n)}$ Toda models.

[ { "created": "Mon, 29 Dec 1997 22:40:49 GMT", "version": "v1" } ]

2009-10-30

[ [ "Belich", "H.", "" ], [ "Cuba", "G.", "" ], [ "Paunov", "R.", "" ] ]

We study the relation between the group-algebraic approach and the dressing symmetry one to the soliton solutions of the $A_n^{(1)}$ Toda field theory in 1+1 dimensions. Originally solitons in the affine Toda models has been found by Olive, Turok and Underwood. Single solitons are created by exponentials of elements which ad-diagonalize the principal Heisenberg subalgebra. Alternatively Babelon and Bernard exploited the dressing symmetry to reproduce the known expressions for the fundamental tau functions in the sine-Gordon model. In this paper we show the equivalence between these two methods to construct solitons in the $A_n^{(n)}$ Toda models.

9.046703

8.129217

10.978482

8.19024

8.435646

8.654438

8.576616

7.427276

8.310586

11.536125

7.736722

8.452998

9.240779

8.198829

8.182482

8.362275

8.187298

8.377358

8.236214

9.140937

8.015794

hep-th/0606024

Cecilia Albertsson

Cecilia Albertsson, Ronald A. Reid-Edwards

Worldsheet boundary conditions in Poisson-Lie T-duality

20 pages, Latex; v2: typos and wording corrected, references added; v3: three-dimensional example added, reference added, discussion clarified, published version

JHEP 0703:004,2007

10.1088/1126-6708/2007/03/004

YITP-06-25, Imperial/TP/06/RAR/03, QMUL-PH-06-07

hep-th

null

We apply canonical Poisson-Lie T-duality transformations to bosonic open string worldsheet boundary conditions, showing that the form of these conditions is invariant at the classical level, and therefore they are compatible with Poisson-Lie T-duality. In particular the conditions for conformal invariance are automatically preserved, rendering also the dual model conformal. The boundary conditions are defined in terms of a gluing matrix which encodes the properties of D-branes, and we derive the duality map for this matrix. We demonstrate explicitly the implications of this map for D-branes in two non-Abelian Drinfel'd doubles.

[ { "created": "Sun, 4 Jun 2006 04:13:02 GMT", "version": "v1" }, { "created": "Wed, 30 Aug 2006 03:26:30 GMT", "version": "v2" }, { "created": "Fri, 2 Mar 2007 02:58:10 GMT", "version": "v3" } ]

2010-10-27

[ [ "Albertsson", "Cecilia", "" ], [ "Reid-Edwards", "Ronald A.", "" ] ]

We apply canonical Poisson-Lie T-duality transformations to bosonic open string worldsheet boundary conditions, showing that the form of these conditions is invariant at the classical level, and therefore they are compatible with Poisson-Lie T-duality. In particular the conditions for conformal invariance are automatically preserved, rendering also the dual model conformal. The boundary conditions are defined in terms of a gluing matrix which encodes the properties of D-branes, and we derive the duality map for this matrix. We demonstrate explicitly the implications of this map for D-branes in two non-Abelian Drinfel'd doubles.

8.272938

7.738613

9.357145

6.950366

7.438715

7.056452

7.898667

6.490764

7.400795

9.151505

7.1159

7.677047

8.407673

7.367207

7.532745

7.554734

7.549512

7.374253

7.528145

7.822888

7.539116

hep-th/9111004

null

Daniel S. Freed, Frank Quinn

Chern-Simons Theory with Finite Gauge Group

44 pages + 1 figure (revised version, this revision fixes some mistakes, changes some notation, clarifies some arguments, redraws the figure, and generally improves the previous version.)

Commun.Math.Phys.156:435-472,1993

10.1007/BF02096860

null

hep-th math.QA

null

These theories, which are surely some of the simplest possible quantum field theories, were introduced in a paper of Dijkgraaf and Witten. The path integral reduces to a finite sum, so it is quite amenable to direct mathematical study. Although the theory exisits in arbitrary dimensions, it is most interesting in $2+1$~dimensions, where it has a ``modular structure.'' This is related to quantum groups, and the precise details may give clues as to what happens in other contexts. This paper is written using AMSTeX 2.1, which can be obtained via ftp from the American Mathematical Society (instructions included). 1 encapsulated postscript file was submitted separately in uuencoded tar-compressed format.

[ { "created": "Sun, 3 Nov 1991 21:50:31 GMT", "version": "v1" }, { "created": "Tue, 5 Nov 1991 13:53:17 GMT", "version": "v2" }, { "created": "Fri, 18 Dec 1992 19:30:57 GMT", "version": "v3" } ]

2010-11-01

[ [ "Freed", "Daniel S.", "" ], [ "Quinn", "Frank", "" ] ]

These theories, which are surely some of the simplest possible quantum field theories, were introduced in a paper of Dijkgraaf and Witten. The path integral reduces to a finite sum, so it is quite amenable to direct mathematical study. Although the theory exisits in arbitrary dimensions, it is most interesting in $2+1$~dimensions, where it has a ``modular structure.'' This is related to quantum groups, and the precise details may give clues as to what happens in other contexts. This paper is written using AMSTeX 2.1, which can be obtained via ftp from the American Mathematical Society (instructions included). 1 encapsulated postscript file was submitted separately in uuencoded tar-compressed format.

13.157953

9.200882

13.505088

10.035576

14.910661

13.03268

11.055066

9.333952

9.520808

17.988018

10.040135

11.658053

13.700171

12.110937

12.609681

12.27674

12.107334

11.860593

12.071726

13.525252

11.680439

hep-th/0203172

Antal Jevicki

Antal Jevicki and Jesse Thaler

Dynamics of Black Hole Formation in an Exactly Solvable Model

6 pages,3 figures. change to RevTex

Phys.Rev. D66 (2002) 024041

10.1103/PhysRevD.66.024041

Brown-HET-1304

hep-th gr-qc hep-ph

null

We consider the process of black hole formation in particle collisions in the exactly solvable framework of 2+1 dimensional Anti de Sitter gravity. An effective Hamiltonian describing the near horizon dynamics of a head on collision is given. The Hamiltonian exhibits a universal structure, with a formation of a horizon at a critical distance. Based on it we evaluate the action for the process and discuss the semiclassical amplitude for black hole formation. The derived amplitude is seen to contain no exponential suppression or enhancement. Coments on the CFT description of the process are made.

[ { "created": "Tue, 19 Mar 2002 16:21:12 GMT", "version": "v1" }, { "created": "Tue, 26 Mar 2002 20:51:15 GMT", "version": "v2" }, { "created": "Wed, 24 Apr 2002 19:10:03 GMT", "version": "v3" } ]

2009-11-07

[ [ "Jevicki", "Antal", "" ], [ "Thaler", "Jesse", "" ] ]

We consider the process of black hole formation in particle collisions in the exactly solvable framework of 2+1 dimensional Anti de Sitter gravity. An effective Hamiltonian describing the near horizon dynamics of a head on collision is given. The Hamiltonian exhibits a universal structure, with a formation of a horizon at a critical distance. Based on it we evaluate the action for the process and discuss the semiclassical amplitude for black hole formation. The derived amplitude is seen to contain no exponential suppression or enhancement. Coments on the CFT description of the process are made.

13.626072

11.683591

11.359866

10.869776

12.076997

11.15833

11.158796

11.299737

11.035542

13.477778

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11.597803

11.951288

11.620901

11.928082

11.640981

11.762486

12.032218

11.876494

11.802973

11.692434