LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0603129

James Cline

J.J. Blanco-Pillado, C.P. Burgess, J.M. Cline, C. Escoda, M. Gomez-Reino, R. Kallosh, A. Linde, F. Quevedo

Inflating in a Better Racetrack

20 pages, 7 figures. Brief discussion on the non-gaussianity of this model, one more figure of the field trajectories added as well as other minor changes to the text

JHEP 0609:002,2006

10.1088/1126-6708/2006/09/002

DAMTP-2006-20, SU-ITP-06-07

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

null

We present a new version of our racetrack inflation scenario which, unlike our original proposal, is based on an explicit compactification of type IIB string theory: the Calabi-Yau manifold P^4_[1,1,1,6,9]. The axion-dilaton and all complex structure moduli are stabilized by fluxes. The remaining 2 Kahler moduli are stabilized by a nonperturbative superpotential, which has been explicitly computed. For this model we identify situations for which a linear combination of the axionic parts of the two Kahler moduli acts as an inflaton. As in our previous scenario, inflation begins at a saddle point of the scalar potential and proceeds as an eternal topological inflation. For a certain range of inflationary parameters, we obtain the COBE-normalized spectrum of metric perturbations and an inflationary scale of M = 3 x 10^{14} GeV. We discuss possible changes of parameters of our model and argue that anthropic considerations favor those parameters that lead to a nearly flat spectrum of inflationary perturbations, which in our case is characterized by the spectral index n_s = 0.95.

[ { "created": "Thu, 16 Mar 2006 23:04:24 GMT", "version": "v1" }, { "created": "Tue, 23 May 2006 20:33:27 GMT", "version": "v2" } ]

2015-06-26

[ [ "Blanco-Pillado", "J. J.", "" ], [ "Burgess", "C. P.", "" ], [ "Cline", "J. M.", "" ], [ "Escoda", "C.", "" ], [ "Gomez-Reino", "M.", "" ], [ "Kallosh", "R.", "" ], [ "Linde", "A.", "" ], [ "Quevedo", "F.", "" ] ]

We present a new version of our racetrack inflation scenario which, unlike our original proposal, is based on an explicit compactification of type IIB string theory: the Calabi-Yau manifold P^4_[1,1,1,6,9]. The axion-dilaton and all complex structure moduli are stabilized by fluxes. The remaining 2 Kahler moduli are stabilized by a nonperturbative superpotential, which has been explicitly computed. For this model we identify situations for which a linear combination of the axionic parts of the two Kahler moduli acts as an inflaton. As in our previous scenario, inflation begins at a saddle point of the scalar potential and proceeds as an eternal topological inflation. For a certain range of inflationary parameters, we obtain the COBE-normalized spectrum of metric perturbations and an inflationary scale of M = 3 x 10^{14} GeV. We discuss possible changes of parameters of our model and argue that anthropic considerations favor those parameters that lead to a nearly flat spectrum of inflationary perturbations, which in our case is characterized by the spectral index n_s = 0.95.

6.577198

6.094866

7.501272

5.857011

6.22421

6.279195

6.064581

6.15708

6.071654

7.462572

6.157667

6.301398

6.669146

6.135907

6.182626

6.061097

6.132376

6.262999

6.113567

6.646897

6.206876

hep-th/9907153

Atsushi Nakamula

Masaru Kamata and Atsushi Nakamula

One-parameter family of selfdual solutions in classical Yang-Mills theory

11 pages, Latex, no figures

Phys.Lett. B463 (1999) 257-262

10.1016/S0370-2693(99)00981-8

null

hep-th

null

The ADHM construction, which yields (anti-)selfdual configurations in classical Yang-Mills theories, is applied to an infinite dimensional l^2 vector space, and as a consequence, a family of (anti-)selfdual configurations with a parameter q is obtained for SU(2) Yang-Mills theory. This l^2 formulation can be seen as a q-analog of Nahm's monopole construction, so that the configuration approaches the BPS monopole at q->1 limit.

[ { "created": "Mon, 19 Jul 1999 08:55:48 GMT", "version": "v1" } ]

2016-09-06

[ [ "Kamata", "Masaru", "" ], [ "Nakamula", "Atsushi", "" ] ]

The ADHM construction, which yields (anti-)selfdual configurations in classical Yang-Mills theories, is applied to an infinite dimensional l^2 vector space, and as a consequence, a family of (anti-)selfdual configurations with a parameter q is obtained for SU(2) Yang-Mills theory. This l^2 formulation can be seen as a q-analog of Nahm's monopole construction, so that the configuration approaches the BPS monopole at q->1 limit.

9.885832

9.777648

10.47057

8.342651

9.438594

9.037406

8.975688

8.845194

8.758788

11.45472

8.777616

9.151581

9.710645

9.140496

8.924085

9.118282

9.349483

8.937499

9.084799

9.467534

9.013929

1812.03870

Laurent Baulieu

On Stochastic Quantisation of Supersymmetric Theories

null

10.1016/j.physletb.2019.01.048

null

hep-th

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

We explain how stochastic TQFT supersymmetry can be made compatible with space supersymmetry. Taking the case of N=2 supersymmetric quantum mechanics, (the proof would be the same for the Wess-Zumino model), we determine the kernels that ensure the convergence of the stochastic process toward the standard path integral, under the condition that they are covariant under supersymmetry. They depend on a massive parameter M that can be chosen at will and modifies the course of the stochastic evolution, but the infinite stochastic time limit of the correlation functions is in fact independent on the choice of M.

[ { "created": "Mon, 10 Dec 2018 15:22:57 GMT", "version": "v1" } ]

2019-03-27

[ [ "Baulieu", "Laurent", "" ] ]

We explain how stochastic TQFT supersymmetry can be made compatible with space supersymmetry. Taking the case of N=2 supersymmetric quantum mechanics, (the proof would be the same for the Wess-Zumino model), we determine the kernels that ensure the convergence of the stochastic process toward the standard path integral, under the condition that they are covariant under supersymmetry. They depend on a massive parameter M that can be chosen at will and modifies the course of the stochastic evolution, but the infinite stochastic time limit of the correlation functions is in fact independent on the choice of M.

14.490412

14.354377

17.502275

13.829957

13.712488

15.521174

14.063095

15.037158

14.466018

15.883157

14.528527

13.649635

14.300385

13.907877

14.944229

14.659327

13.82525

14.130296

13.908603

15.085535

13.549162

hep-th/0205150

Martijn G. C. Eenink

A. Collinucci, M. de Roo, M. G. C. Eenink

Supersymmetric Yang-Mills theory at order alpha'^3

15 pages LaTeX

JHEP 0206 (2002) 024

10.1088/1126-6708/2002/06/024

UG-02/39

hep-th

null

We construct the order alpha'^3 terms in the supersymmetric Yang-Mills action in ten dimensions for an arbitrary gauge group. The result can be expressed in terms of the structure constants of the Yang-Mills group, and is therefore independent of abelian factors. The alpha'^3 invariant obtained here is independent of the alpha'^2 invariant, and we argue that additional superinvariants will occur at all odd orders of alpha'.

[ { "created": "Wed, 15 May 2002 14:57:13 GMT", "version": "v1" } ]

2009-11-07

[ [ "Collinucci", "A.", "" ], [ "de Roo", "M.", "" ], [ "Eenink", "M. G. C.", "" ] ]

We construct the order alpha'^3 terms in the supersymmetric Yang-Mills action in ten dimensions for an arbitrary gauge group. The result can be expressed in terms of the structure constants of the Yang-Mills group, and is therefore independent of abelian factors. The alpha'^3 invariant obtained here is independent of the alpha'^2 invariant, and we argue that additional superinvariants will occur at all odd orders of alpha'.

11.241638

10.479833

12.216999

9.514519

9.136319

11.048966

10.074806

10.193774

9.306844

13.553025

8.771253

9.172732

10.155107

9.337941

9.03891

9.442411

9.22103

8.993561

9.128876

10.166396

9.347134

2011.01960

Till Heckelbacher

Martin Enriquez-Rojo and Till Heckelbacher

Asymptotic symmetries in spatially flat FRW

44 pages

Phys. Rev. D 103, 064009 (2021)

10.1103/PhysRevD.103.064009

LMU-ASC 42/20

hep-th gr-qc

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

We perform an off-shell treatment of asymptotically decelerating spatially flat FRW spacetimes at future null infinity. We obtain supertranslation and superrotation-like asymptotic diffeomorphisms which are consistent with the global symmetries of FRW and we compute how the asymptotic data is transformed under them. Further, we study in detail the effect of these diffeomorphisms on some simple backgrounds including unperturbed FRW and Sultana-Dyer black hole. In particular, we investigate how these transformations act on several cosmologically perturbed backgrounds.

[ { "created": "Tue, 3 Nov 2020 19:04:33 GMT", "version": "v1" }, { "created": "Wed, 21 Jul 2021 14:36:03 GMT", "version": "v2" } ]

2021-07-22

[ [ "Enriquez-Rojo", "Martin", "" ], [ "Heckelbacher", "Till", "" ] ]

We perform an off-shell treatment of asymptotically decelerating spatially flat FRW spacetimes at future null infinity. We obtain supertranslation and superrotation-like asymptotic diffeomorphisms which are consistent with the global symmetries of FRW and we compute how the asymptotic data is transformed under them. Further, we study in detail the effect of these diffeomorphisms on some simple backgrounds including unperturbed FRW and Sultana-Dyer black hole. In particular, we investigate how these transformations act on several cosmologically perturbed backgrounds.

10.691677

13.254894

10.639877

9.73365

9.946739

10.788767

13.553714

9.977034

11.636898

12.63359

10.947115

10.661439

10.182432

9.931681

10.166468

10.490333

10.056732

9.980193

9.852545

10.551796

9.857417

hep-th/0609175

S. Stieberger

Stephan Stieberger, Tomasz R. Taylor

Multi-Gluon Scattering in Open Superstring Theory

34 pages, REVTeX, 2 figs

Phys.Rev.D74:126007,2006

10.1103/PhysRevD.74.126007

LMU-ASC 50/06

hep-th hep-ph math.NT

null

We discuss the amplitudes describing N-gluon scattering in type I superstring theory, on a disk world-sheet. After reviewing the general structure of amplitudes and the complications created by the presence of a large number of vertices at the boundary, we focus on the most promising case of maximally helicity violating (MHV) configurations because in this case, the zero Regge slope limit (alpha' -> 0) is particularly simple. We obtain the full-fledged MHV disk amplitudes for N=4,5 and N=6 gluons, expressed in terms of one, two and six functions of kinematic invariants, respectively. These functions represent certain boundary integrals - generalized Euler integrals - which for N>= 6 correspond to multiple hypergeometric series (generalized Kampe de Feriet functions). Their alpha'-expansions lead to Euler-Zagier sums. For arbitrary N, we show that the leading string corrections to the Yang-Mills amplitude, of order O(alpha'^2), originate from the well-known alpha'^2 Tr F^4 effective interactions of four gauge field strength tensors. By using iteration based on the soft gluon limit, we derive a simple formula valid to that order for arbitrary N. We argue that such a procedure can be extended to all orders in alpha'. If nature gracefully picked a sufficiently low string mass scale, our results would be important for studying string effects in multi-jet production at the Large Hadron Collider (LHC).

[ { "created": "Mon, 25 Sep 2006 20:23:54 GMT", "version": "v1" }, { "created": "Fri, 6 Oct 2006 21:25:05 GMT", "version": "v2" } ]

2008-11-26

[ [ "Stieberger", "Stephan", "" ], [ "Taylor", "Tomasz R.", "" ] ]

We discuss the amplitudes describing N-gluon scattering in type I superstring theory, on a disk world-sheet. After reviewing the general structure of amplitudes and the complications created by the presence of a large number of vertices at the boundary, we focus on the most promising case of maximally helicity violating (MHV) configurations because in this case, the zero Regge slope limit (alpha' -> 0) is particularly simple. We obtain the full-fledged MHV disk amplitudes for N=4,5 and N=6 gluons, expressed in terms of one, two and six functions of kinematic invariants, respectively. These functions represent certain boundary integrals - generalized Euler integrals - which for N>= 6 correspond to multiple hypergeometric series (generalized Kampe de Feriet functions). Their alpha'-expansions lead to Euler-Zagier sums. For arbitrary N, we show that the leading string corrections to the Yang-Mills amplitude, of order O(alpha'^2), originate from the well-known alpha'^2 Tr F^4 effective interactions of four gauge field strength tensors. By using iteration based on the soft gluon limit, we derive a simple formula valid to that order for arbitrary N. We argue that such a procedure can be extended to all orders in alpha'. If nature gracefully picked a sufficiently low string mass scale, our results would be important for studying string effects in multi-jet production at the Large Hadron Collider (LHC).

9.514962

9.588055

11.330829

9.48837

10.782343

10.374189

10.321804

10.279627

10.139314

11.504043

9.200393

9.29292

9.298425

9.196265

9.14826

9.219989

9.271783

9.26805

9.342457

9.697325

9.102523

1807.06579

Mafalda Dias

Mafalda Dias, Jonathan Frazer, Ander Retolaza, Alexander Westphal

Primordial Gravitational Waves and the Swampland

4 pages, 2 figures. References added to match published version

Fortsch.Phys. 67 (2019) no.1-2, 1800063

null

DESY-18-125

hep-th astro-ph.CO hep-ph

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

The swampland conjectures seek to distinguish effective field theories which can be consistently embedded in a theory of quantum gravity from those which can not (and are hence referred to as being in the swampland). We consider two such conjectures, known as the Swampland Distance and de Sitter Conjectures, showing that taken together they place bounds on the amplitude of primordial gravitational waves generated during single field slow-roll inflation. The bounds depend on two parameters which for reasonable estimates restrict the tensor-to-scalar ratio to be within reach of future surveys.

[ { "created": "Tue, 17 Jul 2018 17:45:50 GMT", "version": "v1" }, { "created": "Wed, 3 Apr 2019 01:41:26 GMT", "version": "v2" } ]

2019-04-04

[ [ "Dias", "Mafalda", "" ], [ "Frazer", "Jonathan", "" ], [ "Retolaza", "Ander", "" ], [ "Westphal", "Alexander", "" ] ]

The swampland conjectures seek to distinguish effective field theories which can be consistently embedded in a theory of quantum gravity from those which can not (and are hence referred to as being in the swampland). We consider two such conjectures, known as the Swampland Distance and de Sitter Conjectures, showing that taken together they place bounds on the amplitude of primordial gravitational waves generated during single field slow-roll inflation. The bounds depend on two parameters which for reasonable estimates restrict the tensor-to-scalar ratio to be within reach of future surveys.

6.913955

6.606888

6.770532

5.889678

6.257038

5.935123

6.115697

6.112366

5.767492

7.338552

5.574867

5.734251

5.625209

5.9825

6.040618

5.840972

5.905103

5.650395

5.835623

5.888009

5.711112

hep-th/0608031

Yuuichirou Shibusa

T. Aoyama, T. Kuroki and Y. Shibusa

Dynamical Generation of Non-Abelian Gauge Group via the Improved Perturbation Theory

31 pages, published version

Phys.Rev.D74:106004,2006

10.1103/PhysRevD.74.106004

RIKEN-TH-75

hep-th

null

It was suggested that the massive Yang-Mills-Chern-Simons matrix model has three phases and that in one of them a non-Abelian gauge symmetry is dynamically generated. The analysis was at the one-loop level around a classical solution of fuzzy sphere type. We obtain evidences that three phases are indeed realized as nonperturbative vacua by using the improved perturbation theory. It also gives a good example that even if we start from a trivial vacuum, the improved perturbation theory around it enables us to observe nontrivial vacua.

[ { "created": "Fri, 4 Aug 2006 08:37:27 GMT", "version": "v1" }, { "created": "Fri, 24 Nov 2006 07:46:22 GMT", "version": "v2" } ]

2008-11-26

[ [ "Aoyama", "T.", "" ], [ "Kuroki", "T.", "" ], [ "Shibusa", "Y.", "" ] ]

It was suggested that the massive Yang-Mills-Chern-Simons matrix model has three phases and that in one of them a non-Abelian gauge symmetry is dynamically generated. The analysis was at the one-loop level around a classical solution of fuzzy sphere type. We obtain evidences that three phases are indeed realized as nonperturbative vacua by using the improved perturbation theory. It also gives a good example that even if we start from a trivial vacuum, the improved perturbation theory around it enables us to observe nontrivial vacua.

10.089864

9.330248

10.2052

8.597172

9.635101

9.572092

9.906093

8.906674

9.006457

10.107199

9.122961

9.373713

9.62923

9.525927

9.31354

9.212276

9.089162

9.276378

9.249757

9.563515

9.283595

hep-th/0203140

Jeremy Michelson

(Twisted) Toroidal Compactification of pp-Waves

22 pages REVTeX 4 and AMSLaTeX. v3: References and a paragraph on nine dimensional Killing spinors were added. v4: A few typos corrected and a footnote was modified

Phys.Rev.D66:066002,2002

10.1103/PhysRevD.66.066002

RUNHETC-2002-08

hep-th

null

The maximally supersymmetric type IIB pp-wave is compactified on spatial circles, with and without an auxiliary rotational twist. All spatial circles of constant radius are identified. Without the twist, an S$^1$ compactification can preserve 24, 20 or 16 supercharges. $T^2$ compactifications can preserve 20, 18 or 16 supercharges; $T^3$ compactifications can preserve 18 or 16 supercharges and higher compactifications preserve 16 supercharges. The worldsheet theory of this background is discussed. The T-dual and decompactified type IIA and M-theoretic solutions which preserve 24 supercharges are given. Some comments are made regarding the AdS parent and the CFT description.

[ { "created": "Fri, 15 Mar 2002 00:25:45 GMT", "version": "v1" }, { "created": "Mon, 18 Mar 2002 00:28:51 GMT", "version": "v2" }, { "created": "Tue, 19 Mar 2002 19:36:46 GMT", "version": "v3" }, { "created": "Thu, 2 May 2002 14:28:55 GMT", "version": "v4" } ]

2008-11-26

[ [ "Michelson", "Jeremy", "" ] ]

The maximally supersymmetric type IIB pp-wave is compactified on spatial circles, with and without an auxiliary rotational twist. All spatial circles of constant radius are identified. Without the twist, an S$^1$ compactification can preserve 24, 20 or 16 supercharges. $T^2$ compactifications can preserve 20, 18 or 16 supercharges; $T^3$ compactifications can preserve 18 or 16 supercharges and higher compactifications preserve 16 supercharges. The worldsheet theory of this background is discussed. The T-dual and decompactified type IIA and M-theoretic solutions which preserve 24 supercharges are given. Some comments are made regarding the AdS parent and the CFT description.

9.809323

9.517381

10.402746

8.651888

9.218848

9.740092

9.290421

9.036258

8.958643

12.06291

8.412601

8.755739

10.263067

9.060877

8.705263

8.861725

9.164203

8.991865

9.015625

9.92643

8.889448

1003.4485

John Baez

John C. Baez, John Huerta

An Invitation to Higher Gauge Theory

60 pages, based on lectures at the 2nd School and Workshop on Quantum Gravity and Quantum Geometry at the 2009 Corfu Summer Institute

General Relativity and Gravitation 43 (2011), 2335-2392

10.1007/s10714-010-1070-9

null

hep-th gr-qc math.CT math.DG

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

In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge group, this generalization involves a gauge '2-group'. We focus on 6 examples. First, every abelian Lie group gives a Lie 2-group; the case of U(1) yields the theory of U(1) gerbes, which play an important role in string theory and multisymplectic geometry. Second, every group representation gives a Lie 2-group; the representation of the Lorentz group on 4d Minkowski spacetime gives the Poincar\'e 2-group, which leads to a spin foam model for Minkowski spacetime. Third, taking the adjoint representation of any Lie group on its own Lie algebra gives a 'tangent 2-group', which serves as a gauge 2-group in 4d BF theory, which has topological gravity as a special case. Fourth, every Lie group has an 'inner automorphism 2-group', which serves as the gauge group in 4d BF theory with cosmological constant term. Fifth, every Lie group has an 'automorphism 2-group', which plays an important role in the theory of nonabelian gerbes. And sixth, every compact simple Lie group gives a 'string 2-group'. We also touch upon higher structures such as the 'gravity 3-group' and the Lie 3-superalgebra that governs 11-dimensional supergravity.

[ { "created": "Tue, 23 Mar 2010 18:12:52 GMT", "version": "v1" }, { "created": "Wed, 18 Feb 2015 01:09:26 GMT", "version": "v2" } ]

2015-05-18

[ [ "Baez", "John C.", "" ], [ "Huerta", "John", "" ] ]

In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge group, this generalization involves a gauge '2-group'. We focus on 6 examples. First, every abelian Lie group gives a Lie 2-group; the case of U(1) yields the theory of U(1) gerbes, which play an important role in string theory and multisymplectic geometry. Second, every group representation gives a Lie 2-group; the representation of the Lorentz group on 4d Minkowski spacetime gives the Poincar\'e 2-group, which leads to a spin foam model for Minkowski spacetime. Third, taking the adjoint representation of any Lie group on its own Lie algebra gives a 'tangent 2-group', which serves as a gauge 2-group in 4d BF theory, which has topological gravity as a special case. Fourth, every Lie group has an 'inner automorphism 2-group', which serves as the gauge group in 4d BF theory with cosmological constant term. Fifth, every Lie group has an 'automorphism 2-group', which plays an important role in the theory of nonabelian gerbes. And sixth, every compact simple Lie group gives a 'string 2-group'. We also touch upon higher structures such as the 'gravity 3-group' and the Lie 3-superalgebra that governs 11-dimensional supergravity.

4.611766

5.294222

5.431921

5.138114

5.416265

5.310767

5.290675

5.028581

5.079768

5.529625

4.780268

4.771187

4.935321

4.657269

4.664943

4.666206

4.692565

4.602399

4.743397

4.862374

4.661918

2406.18182

John Gracey

J.A. Gracey

Perspective on properties of renormalization schemes at high loops

10 latex pages

null

LTH 1374

hep-th

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

We report on recent work on a class of renormalization schemes in QCD, termed the MOMt schemes. None of the renormalization group functions of the eight QCD MOMt schemes involve even zetas to five loops. A new scheme is introduced for scalar $\phi^3$ theory in six dimensions where the full Laurent series in the regularizing parameter of the Green's function is absorbed into the renormalization constants. Designated as the MaxSbar scheme it is equivalent to the MOMt scheme in the critical dimension.

[ { "created": "Wed, 26 Jun 2024 08:58:17 GMT", "version": "v1" } ]

2024-06-27

[ [ "Gracey", "J. A.", "" ] ]

We report on recent work on a class of renormalization schemes in QCD, termed the MOMt schemes. None of the renormalization group functions of the eight QCD MOMt schemes involve even zetas to five loops. A new scheme is introduced for scalar $\phi^3$ theory in six dimensions where the full Laurent series in the regularizing parameter of the Green's function is absorbed into the renormalization constants. Designated as the MaxSbar scheme it is equivalent to the MOMt scheme in the critical dimension.

20.506462

18.225142

17.200132

17.023144

21.389744

20.881552

20.541258

19.830952

16.786509

19.404608

18.657497

19.592915

16.972725

17.369879

19.481823

17.853889

18.452631

18.62208

16.63133

18.160322

17.999945

1708.08409

Anirban Basu

Low momentum expansion of one loop amplitudes in heterotic string theory

67 pages, LaTeX, 14 figures

null

10.1007/JHEP11(2017)139

null

hep-th

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

We consider the low momentum expansion of the four graviton and the two graviton--two gluon amplitudes in heterotic string theory at one loop in ten dimensions, and analyze contributions upto the D^2 R^4 interaction from the four graviton amplitude, and the D^4 R^2 F^2 interaction from the two graviton--two gluon amplitude. The calculations are performed by obtaining equations for the relevant modular graph functions that arise in the modular invariant integrals, and involve amalgamating techniques used in the type II theory and the calculation of the elliptic genus in the heterotic theory.

[ { "created": "Mon, 28 Aug 2017 16:43:00 GMT", "version": "v1" }, { "created": "Mon, 4 Sep 2017 15:26:42 GMT", "version": "v2" } ]

2018-01-17

[ [ "Basu", "Anirban", "" ] ]

We consider the low momentum expansion of the four graviton and the two graviton--two gluon amplitudes in heterotic string theory at one loop in ten dimensions, and analyze contributions upto the D^2 R^4 interaction from the four graviton amplitude, and the D^4 R^2 F^2 interaction from the two graviton--two gluon amplitude. The calculations are performed by obtaining equations for the relevant modular graph functions that arise in the modular invariant integrals, and involve amalgamating techniques used in the type II theory and the calculation of the elliptic genus in the heterotic theory.

9.533379

7.733098

10.596765

7.737782

8.75526

8.451989

7.919846

8.200641

7.443181

10.859694

7.166647

7.986089

9.012465

8.077994

8.283119

8.238123

7.722435

8.12289

7.936569

9.447904

8.357551

0801.0619

Changhyun Ahn

Meta-Stable Brane Configurations by Quartic Superpotential for Bifundamentals

30 pp, 8 figures; pages 7 and 14 improved; to appear in IJMPA

Int.J.Mod.Phys.A24:5697-5724,2009

10.1142/S0217751X09044711

KIAS-P08001

hep-th

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

The type IIA nonsupersymmetric meta-stable brane configuration consisting of three NS5-branes, D4-branes and anti-D4-branes where the electric gauge theory superpotential has a quartic term for the bifundamentals besides a mass term is constructed. By adding the orientifold 4-plane and 6-plane to this brane configuration, we also describe the intersecting brane configurations of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of corresponding gauge theories.

[ { "created": "Fri, 4 Jan 2008 01:27:38 GMT", "version": "v1" }, { "created": "Wed, 6 Aug 2008 04:56:43 GMT", "version": "v2" }, { "created": "Sat, 14 Mar 2009 03:06:38 GMT", "version": "v3" } ]

2010-03-04

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

The type IIA nonsupersymmetric meta-stable brane configuration consisting of three NS5-branes, D4-branes and anti-D4-branes where the electric gauge theory superpotential has a quartic term for the bifundamentals besides a mass term is constructed. By adding the orientifold 4-plane and 6-plane to this brane configuration, we also describe the intersecting brane configurations of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of corresponding gauge theories.

8.575365

5.919483

10.50557

6.141288

5.808812

6.176901

5.868635

5.567005

6.233674

11.227956

6.519823

7.332219

8.777516

7.614775

7.448957

7.600251

7.765416

7.574636

7.526745

8.907964

7.745993

hep-th/9604197

Armen Nersessian

A. Nersessian, V. Ter-Antonyan, M. Tsulaia

A note on quantum Bohlin transformation

6 pages, LaTeX

Mod.Phys.Lett. A11 (1996) 1605-1611

10.1142/S0217732396001600

null

hep-th

null

It is shown, that the reduction of the circular quantum oscillator by the $Z_2$-group action results to the two systems: a two-dimensional hydrogen atom, and a ``charge - charged magnetic vortex" one, with the spin $\frac 12$. Analogously, the $Z_N$-reduction of the two-dimensional system with the central potential $r^{2(N-1)}$ results into $N$ bound ``charge - magnetic vertex" systems with the interaction potential $r^{2(1/N-1)}$ and spins $\sigma=\frac kN$, $k =0,1,..., (N-1)$.

[ { "created": "Tue, 30 Apr 1996 18:25:05 GMT", "version": "v1" } ]

2015-06-26

[ [ "Nersessian", "A.", "" ], [ "Ter-Antonyan", "V.", "" ], [ "Tsulaia", "M.", "" ] ]

It is shown, that the reduction of the circular quantum oscillator by the $Z_2$-group action results to the two systems: a two-dimensional hydrogen atom, and a ``charge - charged magnetic vortex" one, with the spin $\frac 12$. Analogously, the $Z_N$-reduction of the two-dimensional system with the central potential $r^{2(N-1)}$ results into $N$ bound ``charge - magnetic vertex" systems with the interaction potential $r^{2(1/N-1)}$ and spins $\sigma=\frac kN$, $k =0,1,..., (N-1)$.

10.127126

8.985555

9.794164

9.099991

9.820297

9.151431

9.965071

9.683588

8.86346

10.688652

9.132809

9.306338

9.050511

8.617418

9.2839

9.179035

9.220795

9.015017

9.040373

9.195584

9.155851

2203.02747

Ugo Moschella

Emil Akhmedov, Henri Epstein and Ugo Moschella

The massless thermal field and the thermal fermion bosonization in two dimensions

null

10.1007/JHEP09(2022)123

null

hep-th

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

We come back to the issue of bosonization of fermions in two spacetime dimension and give a new costruction in the steady state case where left and right moving particles can coexist at two different temperatures. A crucial role in our construction is played by translation invariant infrared states and the corresponding field operators which are naturally linked to the infrared behaviour of the correlation functions. We present two applications: a simple new derivation in the free relativistic case of a formula by Bernard and Doyon and a full operator solution of the massless Thirring model in the steady state case where the left and right movers have two distinct temperatures.

[ { "created": "Sat, 5 Mar 2022 13:58:22 GMT", "version": "v1" }, { "created": "Tue, 30 Aug 2022 22:20:25 GMT", "version": "v2" } ]

2022-09-28

[ [ "Akhmedov", "Emil", "" ], [ "Epstein", "Henri", "" ], [ "Moschella", "Ugo", "" ] ]

We come back to the issue of bosonization of fermions in two spacetime dimension and give a new costruction in the steady state case where left and right moving particles can coexist at two different temperatures. A crucial role in our construction is played by translation invariant infrared states and the corresponding field operators which are naturally linked to the infrared behaviour of the correlation functions. We present two applications: a simple new derivation in the free relativistic case of a formula by Bernard and Doyon and a full operator solution of the massless Thirring model in the steady state case where the left and right movers have two distinct temperatures.

14.047168

12.059937

14.600963

12.534

12.896627

12.762792

11.352475

12.651367

12.066604

16.515497

12.614862

13.012145

13.239891

12.758031

12.904205

12.748453

13.250597

12.900296

13.434989

14.130876

12.723894

1811.11442

Chethan Gowdigere

Chethan N Gowdigere, Jagannath Santara and Sumedha

Conformal Bootstrap Signatures of the Tricritical Ising Universality Class

version published in Physical Review D, improved and additional figures, expanded version

Phys. Rev. D 101, 116020 (2020)

10.1103/PhysRevD.101.116020

null

hep-th cond-mat.stat-mech

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

We study the tricritical Ising universality class using conformal bootstrap techniques. By studying bootstrap constraints originating from multiple correlators on the CFT data of multiple OPEs, we are able to determine the scaling dimension of the spin field $\Delta_\sigma$ in various non-integer dimensions $2 \le d \le 3$. $\Delta_{\sigma}$ is connected to the critical exponent $\eta$ that governs the (tri-)critical behaviour of the two point function via the relation, $\eta = 2 - d + 2 \Delta_{\sigma}$. Our results for $\Delta_\sigma$ match with the exactly known values in two and three dimensions and are a conjecture for non-integer dimensions. We also compare our CFT results for $\Delta_\sigma$ with $\epsilon$-expansion results, available up to $\epsilon^3$ order. Our techniques can be naturally extended to study higher-order multi-critical points.

[ { "created": "Wed, 28 Nov 2018 08:38:50 GMT", "version": "v1" }, { "created": "Mon, 10 May 2021 06:22:27 GMT", "version": "v2" } ]

2021-05-11

[ [ "Gowdigere", "Chethan N", "" ], [ "Santara", "Jagannath", "" ], [ "Sumedha", "", "" ] ]

We study the tricritical Ising universality class using conformal bootstrap techniques. By studying bootstrap constraints originating from multiple correlators on the CFT data of multiple OPEs, we are able to determine the scaling dimension of the spin field $\Delta_\sigma$ in various non-integer dimensions $2 \le d \le 3$. $\Delta_{\sigma}$ is connected to the critical exponent $\eta$ that governs the (tri-)critical behaviour of the two point function via the relation, $\eta = 2 - d + 2 \Delta_{\sigma}$. Our results for $\Delta_\sigma$ match with the exactly known values in two and three dimensions and are a conjecture for non-integer dimensions. We also compare our CFT results for $\Delta_\sigma$ with $\epsilon$-expansion results, available up to $\epsilon^3$ order. Our techniques can be naturally extended to study higher-order multi-critical points.

6.666919

7.0722

6.603729

6.379297

7.34251

7.598735

6.440723

6.603689

6.031089

7.692285

6.662547

6.608806

6.316299

6.207398

6.57509

6.532315

6.27984

6.428643

6.144542

6.74127

6.094211

hep-th/9602177

Juergen Schulze

J\"urgen Schulze

Coulomb Gas on the Half Plane

27 pages, elsart, epsf, 4 figures, one example added, accepted for publication in Nuclear Physics B

Nucl.Phys. B489 (1997) 580-602

10.1016/S0550-3213(97)00021-7

null

hep-th

null

The Coulomb-gas description of minimal models is considered on the half plane. Screening prescriptions are developed by the perturbative expansion of the Liouville theory with imaginary coupling and with Neumann boundary condition on the bosonic field. To generate the conformal blocks of more general boundary conditions, we propose the insertion of boundary operations.

[ { "created": "Thu, 29 Feb 1996 22:14:21 GMT", "version": "v1" }, { "created": "Sun, 22 Dec 1996 00:30:31 GMT", "version": "v2" } ]

2009-10-30

[ [ "Schulze", "Jürgen", "" ] ]

The Coulomb-gas description of minimal models is considered on the half plane. Screening prescriptions are developed by the perturbative expansion of the Liouville theory with imaginary coupling and with Neumann boundary condition on the bosonic field. To generate the conformal blocks of more general boundary conditions, we propose the insertion of boundary operations.

18.028946

17.739803

22.019081

15.945498

15.221203

14.511812

15.578557

15.942487

15.757483

19.168692

15.347476

15.657801

20.297043

16.226425

16.338797

15.583065

16.510918

15.168694

15.696343

20.15361

15.389949

2203.07386

Andrea Fontanella

Andrea Fontanella and Stijn J. van Tongeren

Coset space actions for nonrelativistic strings

28 pages, v3: introduction and references improved, matching the published version in JHEP

null

10.1007/JHEP06(2022)080

HU-EP-22/09

hep-th

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

We formulate the stringy nonrelativistic limits of the flat space and AdS$_5\times$S$^5$ string as coset models, based on the string Bargmann and extended string Newton-Hooke algebras respectively. Our construction mimics the typical relativistic one, but differs in several interesting ways. Using our coset formulation we give a Lax representation of the equations of motion of both models.

[ { "created": "Mon, 14 Mar 2022 18:00:01 GMT", "version": "v1" }, { "created": "Fri, 18 Mar 2022 20:00:56 GMT", "version": "v2" }, { "created": "Tue, 21 Jun 2022 09:55:14 GMT", "version": "v3" } ]

2022-07-06

[ [ "Fontanella", "Andrea", "" ], [ "van Tongeren", "Stijn J.", "" ] ]

We formulate the stringy nonrelativistic limits of the flat space and AdS$_5\times$S$^5$ string as coset models, based on the string Bargmann and extended string Newton-Hooke algebras respectively. Our construction mimics the typical relativistic one, but differs in several interesting ways. Using our coset formulation we give a Lax representation of the equations of motion of both models.

13.133272

9.082026

13.556207

9.867476

10.477077

9.926394

9.899389

9.508374

10.007389

16.959808

9.798536

10.73249

12.957776

10.938044

10.944239

10.303887

10.406184

10.771028

10.994578

13.728801

10.102024

hep-th/0703170

Omid Saremi

Shear Waves, Sound Waves On A Shimmering Horizon

McGill University

null

hep-th

null

In the context of the so called ``membrane paradigm'' of black holes/branes, it has been known for sometime that the dynamics of small fluctuations on the stretched horizon can be viewed as corresponding to diffusion of a conserved charge in simple fluids. To study shear waves in this context properly, one must define a conserved stress tensor living on the stretched horizon. Then one is required to show that such a stress tensor satisfies the corresponding constitutive relations. These steps are missing in a previous treatment of the shear perturbations by Kovtun, Starinets and Son. In this note, we fill the gap by prescribing the stress tensor on the stretched horizon to be the Brown and York (or Balasubramanian-Kraus (BK) in the AdS/CFT context) holographic stress tensor. We are then able to show that such a conserved stress tensor satisfies the required constitutive relation on the stretched horizon using Einstein equations. We read off the shear viscosity from the constitutive relations in two different channels, shear and sound. We find an expression for the shear viscosity in both channels which are equal, as expected. Our expression is in agreement with a previous membrane paradigm formula reported by Kovtun, Starinets and Son.

[ { "created": "Mon, 19 Mar 2007 19:36:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Saremi", "Omid", "" ] ]

In the context of the so called ``membrane paradigm'' of black holes/branes, it has been known for sometime that the dynamics of small fluctuations on the stretched horizon can be viewed as corresponding to diffusion of a conserved charge in simple fluids. To study shear waves in this context properly, one must define a conserved stress tensor living on the stretched horizon. Then one is required to show that such a stress tensor satisfies the corresponding constitutive relations. These steps are missing in a previous treatment of the shear perturbations by Kovtun, Starinets and Son. In this note, we fill the gap by prescribing the stress tensor on the stretched horizon to be the Brown and York (or Balasubramanian-Kraus (BK) in the AdS/CFT context) holographic stress tensor. We are then able to show that such a conserved stress tensor satisfies the required constitutive relation on the stretched horizon using Einstein equations. We read off the shear viscosity from the constitutive relations in two different channels, shear and sound. We find an expression for the shear viscosity in both channels which are equal, as expected. Our expression is in agreement with a previous membrane paradigm formula reported by Kovtun, Starinets and Son.

7.709028

8.796986

8.137915

7.23539

8.372299

8.054946

8.205023

7.709005

7.913475

8.582262

7.47328

7.421927

7.710936

7.396598

7.561502

7.290048

7.513332

7.263522

7.560145

7.390853

7.277879

hep-th/0307005

Masatoshi Sato

Non-Abelian Statistics of Axion Strings

10 pages, 1 figure, references and comments added

Phys.Lett. B575 (2003) 126-130

10.1016/j.physletb.2003.09.047

null

hep-th

null

We examine an axion string coupled to a Majorana fermion. It is found that there exist a Majorana-Weyl zero mode on the string. Due to the zero mode, the axion strings obey non-abelian statistics.

[ { "created": "Tue, 1 Jul 2003 07:44:26 GMT", "version": "v1" }, { "created": "Tue, 16 Sep 2003 04:02:39 GMT", "version": "v2" } ]

2015-06-26

[ [ "Sato", "Masatoshi", "" ] ]

We examine an axion string coupled to a Majorana fermion. It is found that there exist a Majorana-Weyl zero mode on the string. Due to the zero mode, the axion strings obey non-abelian statistics.

10.276214

8.98803

8.442079

8.028457

8.821836

8.159508

8.65255

7.841999

8.126609

9.537127

8.638472

8.534106

9.193576

8.394741

8.747869

8.303705

8.285452

8.131528

8.174961

9.379655

8.544575

hep-th/9410163

R. Jagannathan

R. Chakrabarti and R. Jagannathan

On a nonstandard two-parametric quantum algebra and its connections with $U_{p,q}(gl(2))$ and $U_{p,q}(gl(1|1))$

17pages, LaTeX, Preprint No. imsc-94/43 Revised version: A note added at the end of the paper correcting and clarifying the bibliography

Z.Phys. C66 (1995) 523-528

10.1007/BF01556381

null

hep-th

null

A quantum algebra $U_{p,q}(\zeta ,H,X_\pm )$ associated with a nonstandard $R$-matrix with two deformation parameters$(p,q)$ is studied and, in particular, its universal ${\cal R}$-matrix is derived using Reshetikhin's method. Explicit construction of the $(p,q)$-dependent nonstandard $R$-matrix is obtained through a coloured generalized boson realization of the universal ${\cal R}$-matrix of the standard $U_{p,q}(gl(2))$ corresponding to a nongeneric case. General finite dimensional coloured representation of the universal ${\cal R}$-matrix of $U_{p,q}(gl(2))$ is also derived. This representation, in nongeneric cases, becomes a source for various $(p,q)$-dependent nonstandard $R$-matrices. Superization of $U_{p,q}(\zeta , H,X_\pm )$ leads to the super-Hopf algebra $U_{p,q}(gl(1|1))$. A contraction procedure then yields a $(p,q)$-deformed super-Heisenberg algebra $U_{p,q}(sh(1))$ and its universal ${\cal R}$-matrix.

[ { "created": "Fri, 21 Oct 1994 15:09:18 GMT", "version": "v1" }, { "created": "Tue, 25 Oct 1994 14:11:27 GMT", "version": "v2" } ]

2009-10-28

[ [ "Chakrabarti", "R.", "" ], [ "Jagannathan", "R.", "" ] ]

A quantum algebra $U_{p,q}(\zeta ,H,X_\pm )$ associated with a nonstandard $R$-matrix with two deformation parameters$(p,q)$ is studied and, in particular, its universal ${\cal R}$-matrix is derived using Reshetikhin's method. Explicit construction of the $(p,q)$-dependent nonstandard $R$-matrix is obtained through a coloured generalized boson realization of the universal ${\cal R}$-matrix of the standard $U_{p,q}(gl(2))$ corresponding to a nongeneric case. General finite dimensional coloured representation of the universal ${\cal R}$-matrix of $U_{p,q}(gl(2))$ is also derived. This representation, in nongeneric cases, becomes a source for various $(p,q)$-dependent nonstandard $R$-matrices. Superization of $U_{p,q}(\zeta , H,X_\pm )$ leads to the super-Hopf algebra $U_{p,q}(gl(1|1))$. A contraction procedure then yields a $(p,q)$-deformed super-Heisenberg algebra $U_{p,q}(sh(1))$ and its universal ${\cal R}$-matrix.

5.514483

5.745751

6.06952

5.340572

5.841341

5.388532

5.441966

5.496883

5.303541

6.100325

5.392989

5.571937

5.482194

5.454207

5.379051

5.467507

5.664895

5.411299

5.401401

5.645323

5.362398

1608.07795

Anastasios Petkou

E. G. Filothodoros, A. C. Petkou and N. D. Vlachos

$3d$ fermion-boson map with imaginary chemical potential

19 pages

Phys. Rev. D 95, 065029 (2017)

10.1103/PhysRevD.95.065029

null

hep-th

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

We study the three-dimensional $U(N)$ Gross-Neveu and CP$^{N-1}$ models in the canonical formalism with fixed $U(1)$ charge. For large-$N$ this is closely related to coupling the models to abelian Chern-Simons in a monopole background. We show that the presence of the imaginary chemical potential for the $U(1)$ charge makes the phase structure of the models remarkably similar. We calculate their respective large-$N$ free energy densities and show that they are mapped into each other in a precise way. Intriguingly, the free energy map involves the Bloch-Wigner function and its generalizations introduced by Zagier. We expect that our results are connected to the recently discussed $3d$ bosonization.

[ { "created": "Sun, 28 Aug 2016 10:00:14 GMT", "version": "v1" } ]

2017-04-05

[ [ "Filothodoros", "E. G.", "" ], [ "Petkou", "A. C.", "" ], [ "Vlachos", "N. D.", "" ] ]

We study the three-dimensional $U(N)$ Gross-Neveu and CP$^{N-1}$ models in the canonical formalism with fixed $U(1)$ charge. For large-$N$ this is closely related to coupling the models to abelian Chern-Simons in a monopole background. We show that the presence of the imaginary chemical potential for the $U(1)$ charge makes the phase structure of the models remarkably similar. We calculate their respective large-$N$ free energy densities and show that they are mapped into each other in a precise way. Intriguingly, the free energy map involves the Bloch-Wigner function and its generalizations introduced by Zagier. We expect that our results are connected to the recently discussed $3d$ bosonization.

7.990808

6.357149

8.740016

6.95943

7.050566

7.155035

7.324509

6.894745

7.041873

9.179536

6.694852

7.295995

8.003427

7.218455

7.338036

7.425196

7.137486

7.285276

7.378545

7.87468

7.356952

hep-th/0509097

Jeff Harvey

Jeffrey A. Harvey

TASI 2003 Lectures on Anomalies

59 pages, no figures

null

EFI 05-16

hep-th

null

These lecture notes review the structure of anomalies and present some of their applications in field theory, string theory and M theory. They expand on material presented at the TASI 2003 summer school and the 2005 International Spring School on String Theory in Hangzhou, China.

[ { "created": "Tue, 13 Sep 2005 18:15:29 GMT", "version": "v1" } ]

2007-05-23

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

These lecture notes review the structure of anomalies and present some of their applications in field theory, string theory and M theory. They expand on material presented at the TASI 2003 summer school and the 2005 International Spring School on String Theory in Hangzhou, China.

9.163645

7.643603

8.931806

7.142131

7.312387

7.445859

7.741765

6.92654

6.817183

8.247183

6.727525

6.958794

7.89337

6.655111

7.035138

7.317429

7.06114

7.199898

6.873937

7.566471

6.75888

2003.02827

Mich\`ele Levi

Mich\`ele Levi, Andrew J. McLeod, Matthew von Hippel

N$^3$LO gravitational spin-orbit coupling at order $G^4$

27 pp, 11 figures, 1 table, 30 pp PDF appendix, ancillary .m file, published

JHEP 2107 (2021) 115

10.1007/JHEP07(2021)115

null

hep-th gr-qc

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

In this paper we derive for the first time the N$^3$LO gravitational spin-orbit coupling at order $G^4$ in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects. This represents the first computation in a spinning sector involving three-loop integration. We provide a comprehensive account of the topologies in the worldline picture for the computation at order $G^4$. Our computation makes use of the publicly-available \texttt{EFTofPNG} code, which is extended using loop-integration techniques from particle amplitudes. We provide the results for each of the Feynman diagrams in this sector. The three-loop graphs in the worldline picture give rise to new features in the spinning sector, including divergent terms and logarithms from dimensional regularization, as well as transcendental numbers, all of which survive in the final result of the topologies at this order. This result enters at the 4.5PN order for maximally-rotating compact objects, and together with previous work in this line, paves the way for the completion of this PN accuracy.

[ { "created": "Thu, 5 Mar 2020 18:55:39 GMT", "version": "v1" }, { "created": "Wed, 13 Jan 2021 22:21:19 GMT", "version": "v2" }, { "created": "Mon, 19 Jul 2021 15:21:18 GMT", "version": "v3" } ]

2021-07-20

[ [ "Levi", "Michèle", "" ], [ "McLeod", "Andrew J.", "" ], [ "von Hippel", "Matthew", "" ] ]

In this paper we derive for the first time the N$^3$LO gravitational spin-orbit coupling at order $G^4$ in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects. This represents the first computation in a spinning sector involving three-loop integration. We provide a comprehensive account of the topologies in the worldline picture for the computation at order $G^4$. Our computation makes use of the publicly-available \texttt{EFTofPNG} code, which is extended using loop-integration techniques from particle amplitudes. We provide the results for each of the Feynman diagrams in this sector. The three-loop graphs in the worldline picture give rise to new features in the spinning sector, including divergent terms and logarithms from dimensional regularization, as well as transcendental numbers, all of which survive in the final result of the topologies at this order. This result enters at the 4.5PN order for maximally-rotating compact objects, and together with previous work in this line, paves the way for the completion of this PN accuracy.

8.91265

8.461653

9.087916

7.961075

8.591449

8.630902

9.112563

7.923923

7.979387

9.879647

8.312286

8.371964

8.625087

8.364219

8.439854

7.963706

8.499625

8.088773

8.509847

8.607406

8.390381

hep-th/0109215

Kazuyuki Fujii

Geometry of Generalized Coherent States : Some Calculations of Chern Characters

Latex File, 1+22 pages

null

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

null

This is a continuation of the preceding paper (hep-ph/0108219). First of all we make a brief review of generalized coherent states based on Lie algebra su(1,1) and prove that the resolution of unity can be obtained by the curvature form of some bundle. Next for a set of generalized coherent states we define a universal bundle over the infinite-dimensional Grassmann manifold and construct the pull-back bundle making use of a projector from the parameter space to this Grassmann one. We mainly study Chern characters of these bundles. Although the Chern characters in the infinite-dimensional case are in general not easy to calculate, we can perform them for the special cases. In this paper we report our calculations and propose some problems.

[ { "created": "Fri, 28 Sep 2001 02:24:51 GMT", "version": "v1" } ]

2007-05-23

[ [ "Fujii", "Kazuyuki", "" ] ]

This is a continuation of the preceding paper (hep-ph/0108219). First of all we make a brief review of generalized coherent states based on Lie algebra su(1,1) and prove that the resolution of unity can be obtained by the curvature form of some bundle. Next for a set of generalized coherent states we define a universal bundle over the infinite-dimensional Grassmann manifold and construct the pull-back bundle making use of a projector from the parameter space to this Grassmann one. We mainly study Chern characters of these bundles. Although the Chern characters in the infinite-dimensional case are in general not easy to calculate, we can perform them for the special cases. In this paper we report our calculations and propose some problems.

13.267367

13.080775

13.333884

11.903164

13.818216

13.113935

12.922605

12.179251

11.765846

12.616442

12.122087

12.083117

12.877271

11.795914

12.271371

12.162756

12.17251

11.80635

11.759625

11.957088

12.054058

hep-th/0606012

Boris Kors

Henriette Elvang, Daniel Z. Freedman, and Boris Kors

Anomaly Cancellation in Supergravity with Fayet-Iliopoulos Couplings

27 pages

JHEP 0611:068,2006

10.1088/1126-6708/2006/11/068

CERN-PH-TH/2006-086, MIT-CTP-3743

hep-th

null

We review and clarify the cancellation conditions for gauge anomalies which occur when N=1, D=4 supergravity is coupled to a Kahler non-linear sigma-model with gauged isometries and Fayet-Iliopoulos couplings. For a flat sigma-model target space and vanishing Fayet-Iliopoulos couplings, consistency requires just the conventional anomaly cancellation conditions. A consistent model with non-vanishing Fayet-Iliopoulos couplings is unlikely unless the Green-Schwarz mechanism is used. In this case the U(1) gauge boson becomes massive and the D-term potential receives corrections. A Green-Schwarz mechanism can remove both the abelian and certain non-abelian anomalies in models with a gauge non-invariant Kahler potential.

[ { "created": "Thu, 1 Jun 2006 14:40:56 GMT", "version": "v1" } ]

2009-11-11

[ [ "Elvang", "Henriette", "" ], [ "Freedman", "Daniel Z.", "" ], [ "Kors", "Boris", "" ] ]

We review and clarify the cancellation conditions for gauge anomalies which occur when N=1, D=4 supergravity is coupled to a Kahler non-linear sigma-model with gauged isometries and Fayet-Iliopoulos couplings. For a flat sigma-model target space and vanishing Fayet-Iliopoulos couplings, consistency requires just the conventional anomaly cancellation conditions. A consistent model with non-vanishing Fayet-Iliopoulos couplings is unlikely unless the Green-Schwarz mechanism is used. In this case the U(1) gauge boson becomes massive and the D-term potential receives corrections. A Green-Schwarz mechanism can remove both the abelian and certain non-abelian anomalies in models with a gauge non-invariant Kahler potential.

7.430214

6.464766

7.299378

6.309837

6.400592

6.87678

6.677264

6.447632

6.561133

7.517025

6.51168

6.790044

6.938189

6.599468

6.640024

6.645267

6.645606

6.769174

6.667619

6.729228

6.553113

1108.0551

Michele Maio

M. Maio

Simple current extensions and permutation orbifolds in string theory

5 pages, 4 figures, extended version of the Proceedings of the Cargese Summer School 2010 "Formal Developments and Applications"

Nucl. Phys. B (Proc. Suppl.) 216 (2011) 252

10.1016/j.nuclphysbps.2011.05.004

NIKHEF/2011-023

hep-th math-ph math.MP

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

We review extensions by integer spin simple currents in two-dimensional conformal field theories and their applications in string theory. In particular, we study the problem of resolving the fixed points of a simple current and apply the formalism to the permutation orbifold. In terms of string compactifications, we construct permutations of N=2 minimal models and use them as building blocks in heterotic Gepner models.

[ { "created": "Tue, 2 Aug 2011 11:52:28 GMT", "version": "v1" } ]

2011-08-03

[ [ "Maio", "M.", "" ] ]

We review extensions by integer spin simple currents in two-dimensional conformal field theories and their applications in string theory. In particular, we study the problem of resolving the fixed points of a simple current and apply the formalism to the permutation orbifold. In terms of string compactifications, we construct permutations of N=2 minimal models and use them as building blocks in heterotic Gepner models.

13.356875

10.497921

15.427358

10.443342

11.582047

11.09215

10.956272

10.758369

10.102103

16.614607

10.12348

11.898251

12.817591

10.845771

11.754459

11.923126

11.836766

12.17332

11.404398

13.858802

11.310828

0708.2144

Eric Woolgar

E. Woolgar

Some Applications of Ricci Flow in Physics

Minor corrections in Sections IV and VI. Invited talk at Theory Canada III meeting, June 2007; submitted to Proceedings. Dedicated to Rafael D Sorkin on the occasion of his 60th birthday

Can.J.Phys.86:645,2008

10.1139/P07-146

null

hep-th gr-qc math.DG

null

I discuss certain applications of the Ricci flow in physics. I first review how it arises in the renormalization group (RG) flow of a nonlinear sigma model. I then review the concept of a Ricci soliton and recall how a soliton was used to discuss the RG flow of mass in 2-dimensions. I then present recent results obtained with Oliynyk on the flow of mass in higher dimensions. The final section discusses one way in which Ricci flow may arise in general relativity, particularly for static metrics.

[ { "created": "Thu, 16 Aug 2007 06:50:14 GMT", "version": "v1" }, { "created": "Mon, 27 Aug 2007 04:52:23 GMT", "version": "v2" }, { "created": "Mon, 31 Dec 2007 04:03:04 GMT", "version": "v3" } ]

2009-11-13

[ [ "Woolgar", "E.", "" ] ]

I discuss certain applications of the Ricci flow in physics. I first review how it arises in the renormalization group (RG) flow of a nonlinear sigma model. I then review the concept of a Ricci soliton and recall how a soliton was used to discuss the RG flow of mass in 2-dimensions. I then present recent results obtained with Oliynyk on the flow of mass in higher dimensions. The final section discusses one way in which Ricci flow may arise in general relativity, particularly for static metrics.

8.706186

7.263993

7.626855

7.55528

7.55256

7.410306

7.396316

7.521315

7.376763

8.045269

7.508692

7.550793

7.435887

7.323264

7.271723

7.049301

7.166031

7.327007

7.540514

7.668597

7.588433

hep-th/9607201

John Schwarz

John H. Schwarz

Lectures on Superstring and M Theory Dualities

67 pages, latex, 1 figure; Lectures given at the ICTP Spring School (March 1996) and the TASI Summer School (June 1996), TASI96

Nucl.Phys.Proc.Suppl.55B:1-32,1997

10.1016/S0920-5632(97)00070-4

null

hep-th

null

These lectures begin by reviewing the evidence for S duality of the toroidally compactified heterotic string in 4d that was obtained in the period 1992--94. Next they review recently discovered dualities that relate all five of the 10d superstring theories and a quantum extension of 11d supergravity called M theory. The study of p-branes of various dimensions (some of which are D-branes) plays a central role. The final sections survey supersymmetric string vacua in 6d and some of the dual constructions by which they can be obtained. Special emphasis is given to a class of N=1 models that exhibit ``heterotic-heterotic duality.''

[ { "created": "Thu, 25 Jul 1996 23:44:00 GMT", "version": "v1" }, { "created": "Mon, 23 Sep 1996 19:53:09 GMT", "version": "v2" } ]

2010-11-19

[ [ "Schwarz", "John H.", "" ] ]

These lectures begin by reviewing the evidence for S duality of the toroidally compactified heterotic string in 4d that was obtained in the period 1992--94. Next they review recently discovered dualities that relate all five of the 10d superstring theories and a quantum extension of 11d supergravity called M theory. The study of p-branes of various dimensions (some of which are D-branes) plays a central role. The final sections survey supersymmetric string vacua in 6d and some of the dual constructions by which they can be obtained. Special emphasis is given to a class of N=1 models that exhibit ``heterotic-heterotic duality.''

10.753547

9.411861

10.67722

10.058558

10.288876

10.166967

9.68301

9.293891

9.112156

10.502883

9.328782

9.570809

9.605728

9.202765

9.060443

9.63396

9.255193

9.277806

9.403921

9.49778

8.521249

hep-th/0212258

Wolfgang Bietenholz

W. Bietenholz, F. Hofheinz and J. Nishimura

Non--Commutative Field Theories beyond Perturbation Theory

8 pages, 8 figures, talk presented at 35th Ahrenshoop Symposium

Fortsch.Phys. 51 (2003) 745-752

10.1002/prop.200310092

HU-EP-02/63

hep-th gr-qc hep-lat

null

We investigate two models in non-commutative (NC) field theory by means of Monte Carlo simulations. Even if we start from the Euclidean lattice formulation, such simulations are only feasible after mapping the systems onto dimensionally reduced matrix models. Using this technique, we measure Wilson loops in 2d NC gauge theory of rank 1. It turns out that they are non-perturbatively renormalizable, and the phase follows an Aharonov-Bohm effect if we identify \theta = 1/B. Next we study the 3d \lambda \phi^{4} model with two NC coordinates, where we present new results for the correlators and the dispersion relation. We further reveal the explicit phase diagram. The ordered regime splits into a uniform and a striped phase, as it was qualitatively conjectured before. We also confirm the recent observation by Ambjorn and Catterall that such stripes occur even in d=2, although they imply the spontaneous breaking of translation symmetry. However, in d=3 and d=2 we observe only patterns of two stripes to be stable in the range of parameters investigated.

[ { "created": "Fri, 20 Dec 2002 10:37:36 GMT", "version": "v1" } ]

2009-11-07

[ [ "Bietenholz", "W.", "" ], [ "Hofheinz", "F.", "" ], [ "Nishimura", "J.", "" ] ]

We investigate two models in non-commutative (NC) field theory by means of Monte Carlo simulations. Even if we start from the Euclidean lattice formulation, such simulations are only feasible after mapping the systems onto dimensionally reduced matrix models. Using this technique, we measure Wilson loops in 2d NC gauge theory of rank 1. It turns out that they are non-perturbatively renormalizable, and the phase follows an Aharonov-Bohm effect if we identify \theta = 1/B. Next we study the 3d \lambda \phi^{4} model with two NC coordinates, where we present new results for the correlators and the dispersion relation. We further reveal the explicit phase diagram. The ordered regime splits into a uniform and a striped phase, as it was qualitatively conjectured before. We also confirm the recent observation by Ambjorn and Catterall that such stripes occur even in d=2, although they imply the spontaneous breaking of translation symmetry. However, in d=3 and d=2 we observe only patterns of two stripes to be stable in the range of parameters investigated.

12.744451

13.026756

13.604914

12.297137

13.340457

13.875799

13.460774

12.869272

12.53861

15.011767

12.800894

12.318016

13.3779

12.355659

12.206032

12.573129

12.388587

12.772277

12.099756

13.526058

11.933543

1003.2850

Ram Brustein

Ram Brustein, A.J.M. Medved

Bounds on Black Hole Entropy in Unitary Theories of Gravity

16 pages, no figures

JHEP 1004:103,2010

10.1007/JHEP04(2010)103

null

hep-th

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

We consider unitary and weakly coupled theories of gravity that extend Einstein gravity and reduce to it asymptotically at large distances. Our discussion is restricted to such theories that, similarly to Einstein gravity, contain black holes as semiclassical states in a range of scales. We show that, at a given scale, the entropy of these black holes has to be larger than the number of elementary light species in the theory. Our bound follows from the observation that the black hole entropy has to be larger than the product of its mass and horizon radius (in units of Planck's constant divided by the speed of light) and the fact that, for any semiclassical black hole, this product has to be larger than the number of light species. For theories that obey our assumptions, the bound resolves the "species problem": the tension between the geometric, species-independent nature of black hole entropy and the proportionality of ordinary thermodynamic entropy to the number of species. We then show that, when black holes in Einstein's theory are compared to those in the extended theories at a fixed value of mass, the entropy of the Einstein black holes will always be minimal. Similar considerations are also applied to the entropy density of black branes in anti-de Sitter space.

[ { "created": "Mon, 15 Mar 2010 05:51:54 GMT", "version": "v1" } ]

2014-11-20

[ [ "Brustein", "Ram", "" ], [ "Medved", "A. J. M.", "" ] ]

We consider unitary and weakly coupled theories of gravity that extend Einstein gravity and reduce to it asymptotically at large distances. Our discussion is restricted to such theories that, similarly to Einstein gravity, contain black holes as semiclassical states in a range of scales. We show that, at a given scale, the entropy of these black holes has to be larger than the number of elementary light species in the theory. Our bound follows from the observation that the black hole entropy has to be larger than the product of its mass and horizon radius (in units of Planck's constant divided by the speed of light) and the fact that, for any semiclassical black hole, this product has to be larger than the number of light species. For theories that obey our assumptions, the bound resolves the "species problem": the tension between the geometric, species-independent nature of black hole entropy and the proportionality of ordinary thermodynamic entropy to the number of species. We then show that, when black holes in Einstein's theory are compared to those in the extended theories at a fixed value of mass, the entropy of the Einstein black holes will always be minimal. Similar considerations are also applied to the entropy density of black branes in anti-de Sitter space.

7.929837

7.531141

8.416515

7.534106

7.590945

8.177896

8.043272

7.856336

7.716234

7.953046

7.850296

7.605644

7.730539

7.447425

7.677073

7.5093

7.655082

7.607733

7.402126

7.607993

7.606881

hep-th/0204043

Shlomo S. Razamat

Marginal Deformations of N=4 SYM and of its Supersymmetric Orbifold Descendants

102 pages, MSc thesis

null

hep-th

null

In this thesis exactly marginal deformations of field theories living on D3-branes at low energies are studied. These theories include N=4 supersymmetric Yang-Mills theory and theories obtained from it via the orbifolding procedure.

[ { "created": "Thu, 4 Apr 2002 13:55:35 GMT", "version": "v1" } ]

2007-05-23

[ [ "Razamat", "Shlomo S.", "" ] ]

In this thesis exactly marginal deformations of field theories living on D3-branes at low energies are studied. These theories include N=4 supersymmetric Yang-Mills theory and theories obtained from it via the orbifolding procedure.

13.159167

5.984659

8.555409

6.300139

7.592918

6.382659

6.512136

6.436434

6.143025

9.47622

6.513261

7.327798

8.37632

7.36917

7.573967

6.948223

7.360708

7.1109

7.375667

8.736935

7.004129

1003.0797

Daniel Brattan Mr

Daniel K. Brattan

Charged, conformal non-relativistic hydrodynamics

31 pages, 1 figure, JHEP3 style, refs added, typos corrected, missing terms in spatial charge current and field corrections added, to be published in JHEP

JHEP 1010:015, 2010

10.1007/JHEP10(2010)015

null

hep-th

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

We embed a holographic model of an U(1) charged fluid with Galilean invariance in string theory and calculate its specific heat capacity and Prandtl number. Such theories are generated by a R-symmetry twist along a null direction of a N=1 superconformal theory. We study the hydrodynamic properties of such systems employing ideas from the fluid-gravity correspondence.

[ { "created": "Wed, 3 Mar 2010 13:14:36 GMT", "version": "v1" }, { "created": "Mon, 13 Sep 2010 16:44:41 GMT", "version": "v2" } ]

2010-12-01

[ [ "Brattan", "Daniel K.", "" ] ]

We embed a holographic model of an U(1) charged fluid with Galilean invariance in string theory and calculate its specific heat capacity and Prandtl number. Such theories are generated by a R-symmetry twist along a null direction of a N=1 superconformal theory. We study the hydrodynamic properties of such systems employing ideas from the fluid-gravity correspondence.

13.051468

10.604018

13.537719

9.803352

10.895748

10.781663

10.25743

10.779298

9.603384

12.797749

10.328685

10.901675

12.662349

11.472344

11.098236

11.067645

11.483389

11.193951

11.851916

12.456337

11.057826

hep-th/9411168

null

S. Bellucci, S. Krivonos and A. Sorin

Linearizing $W_{2,4}$ and $WB_2$ Algebras

13 pages, LaTeX

Phys.Lett. B347 (1995) 260-268

10.1016/0370-2693(95)00002-3

JINR E2-94-440,LNF-94/069(P)

hep-th

null

It has recently been shown that the $W_3$ and $W_3^{(2)}$ algebras can be considered as subalgebras in some linear conformal algebras. In this paper we show that the nonlinear algebras $W_{2,4}$ and $WB_2$ as well as Zamolodchikov's spin $5/2$ superalgebra also can be embedded as subalgebras into some linear conformal algebras with a finite set of currents. These linear algebras give rise to new realizations of the nonlinear algebras which could be suitable in the construction of $W$-string theories.

[ { "created": "Wed, 23 Nov 1994 12:21:37 GMT", "version": "v1" }, { "created": "Wed, 30 Nov 1994 12:04:31 GMT", "version": "v2" } ]

2009-10-28

[ [ "Bellucci", "S.", "" ], [ "Krivonos", "S.", "" ], [ "Sorin", "A.", "" ] ]

It has recently been shown that the $W_3$ and $W_3^{(2)}$ algebras can be considered as subalgebras in some linear conformal algebras. In this paper we show that the nonlinear algebras $W_{2,4}$ and $WB_2$ as well as Zamolodchikov's spin $5/2$ superalgebra also can be embedded as subalgebras into some linear conformal algebras with a finite set of currents. These linear algebras give rise to new realizations of the nonlinear algebras which could be suitable in the construction of $W$-string theories.

4.702174

3.968913

5.306117

4.135348

4.122244

4.126325

3.947582

4.119247

4.005301

5.219312

4.036226

4.136204

5.09912

4.303051

4.121352

4.170571

4.116723

4.239968

4.227427

4.928723

4.118923

hep-th/0112040

Kyungho Oh

Kyungho Oh and Radu Tatar

Duality and Confinement in N=1 Supersymmetric Theories from Geometric Transitions

52 pages, 10 figures, references added and minor corrections

Adv.Theor.Math.Phys. 6 (2003) 141-196

null

HUTP-01/A060, HU-EP-01/55

hep-th

null

We study large N dualities for a general class of N=1 theories realized on type IIB D5 branes wrapping 2-cycles of local Calabi-Yau threefolds or as effective field theories on D4 branes in type IIA brane configurations. We completely solve the issue of the classical moduli space for N=2, U(N_1)x ... x U(N_n) theories deformed by a general superpotential for the adjoint and bifundamental fields. The N=1 geometries in type IIB and its T-dual brane configurations are presented and they agree with the field theory analysis. We investigate the geometric transitions in the ten dimensional theories as well as in M-theory. Strong coupling effects in field theory are analyzed in the deformed geometry with fluxes. Gluino condensations are identified the normalizable deformation parameters while the vacuum expectation values of the bifundamental fields are with the non-normalizable ones. By lifting to M theory, we get a transition from finite coverings of non-hyperelliptic curves to non-hyperelliptic curves. We also discuss orientifold theories, Seiberg dualities and mirror symmetries.

[ { "created": "Wed, 5 Dec 2001 23:37:18 GMT", "version": "v1" }, { "created": "Sat, 8 Dec 2001 21:09:14 GMT", "version": "v2" }, { "created": "Thu, 10 Jan 2002 02:47:04 GMT", "version": "v3" }, { "created": "Wed, 15 May 2002 17:20:07 GMT", "version": "v4" }, { "created": "Fri, 26 Dec 2003 18:39:36 GMT", "version": "v5" } ]

2007-05-23

[ [ "Oh", "Kyungho", "" ], [ "Tatar", "Radu", "" ] ]

We study large N dualities for a general class of N=1 theories realized on type IIB D5 branes wrapping 2-cycles of local Calabi-Yau threefolds or as effective field theories on D4 branes in type IIA brane configurations. We completely solve the issue of the classical moduli space for N=2, U(N_1)x ... x U(N_n) theories deformed by a general superpotential for the adjoint and bifundamental fields. The N=1 geometries in type IIB and its T-dual brane configurations are presented and they agree with the field theory analysis. We investigate the geometric transitions in the ten dimensional theories as well as in M-theory. Strong coupling effects in field theory are analyzed in the deformed geometry with fluxes. Gluino condensations are identified the normalizable deformation parameters while the vacuum expectation values of the bifundamental fields are with the non-normalizable ones. By lifting to M theory, we get a transition from finite coverings of non-hyperelliptic curves to non-hyperelliptic curves. We also discuss orientifold theories, Seiberg dualities and mirror symmetries.

9.560143

8.367302

11.290172

8.422778

8.978415

8.587707

8.769436

9.118361

8.639848

12.560374

9.25331

9.171741

9.974802

9.18266

9.129323

8.962274

9.036543

9.173889

9.266018

10.004045

8.945703

2101.07297

Harold Steinacker

Stefan Fredenhagen and Harold C. Steinacker

Exploring the gravity sector of emergent higher-spin gravity: effective action and a solution

39 pages, v2: minor issues fixed, conclusion unchanged V3: Appendix E.1 corrected, no change of results or conclusions

JHEP 05 (2021) 183

10.1007/JHEP05(2021)183

UWThPh 2021-1

hep-th gr-qc

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

We elaborate the description of the semi-classical gravity sector of Yang-Mills matrix models on a covariant quantum FLRW background. The basic geometric structure is a frame, which arises from the Poisson structure on an underlying $S^2$ bundle over space-time. The equations of motion for the associated Weitzenb\"ock torsion obtained in arXiv:2002.02742 are rewritten in the form of Yang-Mills-type equations for the frame. An effective action is found which reproduces these equations of motion, which contains an Einstein-Hilbert term coupled to a dilaton, an axion and a Maxwell-type term for the dynamical frame. An explicit rotationally invariant solution is found, which describes a gravitational field coupled to the dilaton.

[ { "created": "Mon, 18 Jan 2021 19:32:39 GMT", "version": "v1" }, { "created": "Tue, 13 Jul 2021 10:20:18 GMT", "version": "v2" }, { "created": "Fri, 10 Mar 2023 20:39:12 GMT", "version": "v3" } ]

2023-03-14

[ [ "Fredenhagen", "Stefan", "" ], [ "Steinacker", "Harold C.", "" ] ]

We elaborate the description of the semi-classical gravity sector of Yang-Mills matrix models on a covariant quantum FLRW background. The basic geometric structure is a frame, which arises from the Poisson structure on an underlying $S^2$ bundle over space-time. The equations of motion for the associated Weitzenb\"ock torsion obtained in arXiv:2002.02742 are rewritten in the form of Yang-Mills-type equations for the frame. An effective action is found which reproduces these equations of motion, which contains an Einstein-Hilbert term coupled to a dilaton, an axion and a Maxwell-type term for the dynamical frame. An explicit rotationally invariant solution is found, which describes a gravitational field coupled to the dilaton.

11.828227

10.508295

10.795315

9.874636

10.168837

10.645781

10.556026

10.320117

9.735929

10.444089

10.335566

10.525484

10.557153

10.27931

10.269218

10.198428

10.049787

10.180522

10.703895

10.445016

10.140218

1109.3200

William Divine Linch III

Osvaldo Chandia, William D. Linch III, and Brenno Carlini Vallilo

The Covariant Superstring on K3

18 pages

null

hep-th

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

We compactify the pure spinor formalism on a K3 surface. The pure spinor splits into a six-dimensional pure spinor, a projective superspace harmonic, and 6 non-covariant variables. A homological algebra argument reduces the calculation of the cohomology of the Berkovits differential to a "small" Hilbert space which is the string-theoretic analogue of projective superspace. The description of the physical state conditions is facilitated by lifting to the full harmonic superspace, which is accomplished by the introduction of the missing harmonics as non-minimal variables. Finally, contact with the hybrid formalism is made by returning to the small Hilbert space and fermionizing the projective parameter.

[ { "created": "Wed, 14 Sep 2011 20:05:20 GMT", "version": "v1" }, { "created": "Tue, 27 Sep 2011 18:37:35 GMT", "version": "v2" } ]

2011-09-28

[ [ "Chandia", "Osvaldo", "" ], [ "Linch", "William D.", "III" ], [ "Vallilo", "Brenno Carlini", "" ] ]

We compactify the pure spinor formalism on a K3 surface. The pure spinor splits into a six-dimensional pure spinor, a projective superspace harmonic, and 6 non-covariant variables. A homological algebra argument reduces the calculation of the cohomology of the Berkovits differential to a "small" Hilbert space which is the string-theoretic analogue of projective superspace. The description of the physical state conditions is facilitated by lifting to the full harmonic superspace, which is accomplished by the introduction of the missing harmonics as non-minimal variables. Finally, contact with the hybrid formalism is made by returning to the small Hilbert space and fermionizing the projective parameter.

13.968161

12.904132

16.903793

12.533176

12.576648

12.99173

12.392152

13.117772

12.098776

17.937637

12.644727

12.457236

13.528971

12.515677

12.860448

12.721424

12.608097

12.52139

12.42417

13.307079

12.210422

hep-th/9610112

Miguel S. Costa

Miguel S. Costa and Malcolm J. Perry (D.A.M.T.P./ University of Cambridge)

Kaluza-Klein electrically charged black branes in M-theory

16 pages, uses latex and epsf macro, figures included

Class.Quant.Grav.14:603-614,1997

10.1088/0264-9381/14/3/007

null

hep-th

null

We present a class of Kaluza-Klein electrically charged black p-brane solutions of ten-dimensional, type IIA superstring theory. Uplifting to eleven dimensions these solutions are studied in the context of M-theory. They can be interpreted either as a p+1 extended object trapped around the eleventh dimension along which momentum is flowing or as a boost of the following backgrounds: the Schwarzschild black (p+1)-brane or the product of the (10-p)-dimensional Euclidean Schwarzschild manifold with the (p+1)-dimensional Minkowski spacetime.

[ { "created": "Wed, 16 Oct 1996 20:24:22 GMT", "version": "v1" } ]

2014-11-18

[ [ "Costa", "Miguel S.", "", "D.A.M.T.P./ University of\n Cambridge" ], [ "Perry", "Malcolm J.", "", "D.A.M.T.P./ University of\n Cambridge" ] ]

We present a class of Kaluza-Klein electrically charged black p-brane solutions of ten-dimensional, type IIA superstring theory. Uplifting to eleven dimensions these solutions are studied in the context of M-theory. They can be interpreted either as a p+1 extended object trapped around the eleventh dimension along which momentum is flowing or as a boost of the following backgrounds: the Schwarzschild black (p+1)-brane or the product of the (10-p)-dimensional Euclidean Schwarzschild manifold with the (p+1)-dimensional Minkowski spacetime.

7.844962

8.273793

8.743789

7.332466

8.251562

8.144103

8.187329

7.914008

7.895781

9.312881

7.494507

7.219952

7.693279

7.133636

7.052634

7.407

7.378527

7.262006

7.370335

7.739249

7.297179

hep-th/0006172

Bhaskar Dutta

R. Arnowitt and B. Dutta

Yukawa Textures in Horava-Witten M-Theory

28 pages, Revtex

Nucl.Phys.B592:143-163,2001

10.1016/S0550-3213(00)00608-8

null

hep-th hep-ph

null

Recent advances in 11 dimensional Horava-Witten M-theory based on non-standard embeddings with torus fibered Calabi-Yau manifolds have allowed the construction of three generation models with Wilson line breaking to the Standard Model gauge symmetry. Central to these constructions is the existence of a set of 5-branes in the bulk. We examine within this framework the general structure of the matter Yukawa couplings and show that M-theory offers an alternate possible way of achieving the CKM and quark mass hierarchies without introducing undue fine tuning or (as in conventional analysis) small parameters raised to high powers. A phenomenological example is presented in accord with all CKM and quark mass data requiring mainly that the 5-branes cluster near the second orbifold plane, and that the instanton charges of the physical orbifold plane vanish. An explicit example of a three generation model with vanishing physical plane instanton charges based on a torus fibered Calabi-Yau three fold with a del Pezzo base $dP_7$ and Wilson line breaking is constructed.

[ { "created": "Wed, 21 Jun 2000 20:35:16 GMT", "version": "v1" } ]

2008-11-26

[ [ "Arnowitt", "R.", "" ], [ "Dutta", "B.", "" ] ]

Recent advances in 11 dimensional Horava-Witten M-theory based on non-standard embeddings with torus fibered Calabi-Yau manifolds have allowed the construction of three generation models with Wilson line breaking to the Standard Model gauge symmetry. Central to these constructions is the existence of a set of 5-branes in the bulk. We examine within this framework the general structure of the matter Yukawa couplings and show that M-theory offers an alternate possible way of achieving the CKM and quark mass hierarchies without introducing undue fine tuning or (as in conventional analysis) small parameters raised to high powers. A phenomenological example is presented in accord with all CKM and quark mass data requiring mainly that the 5-branes cluster near the second orbifold plane, and that the instanton charges of the physical orbifold plane vanish. An explicit example of a three generation model with vanishing physical plane instanton charges based on a torus fibered Calabi-Yau three fold with a del Pezzo base $dP_7$ and Wilson line breaking is constructed.

10.856921

9.9431

10.767539

9.30539

9.797347

10.551349

10.015584

9.36382

9.345737

10.553429

10.335981

10.050587

10.536167

9.916873

10.177983

10.214161

10.021911

10.124301

9.924645

10.566797

10.480213

hep-th/0312010

Satoshi Nagaoka

Higher Dimensional Recombination of Intersecting D-branes

18 pages, 2 figures, JHEP style. v3:references added, minor corrections, English improved

JHEP 0402 (2004) 063

10.1088/1126-6708/2004/02/063

UT-Komaba/03-19

hep-th

null

We study recombinations of D-brane systems intersecting at more than one angle using super Yang-Mills theory. We find the condensation of an off-diagonal tachyon mode relates to the recombination, as was clarified for branes at one angle in hep-th/0303204. For branes at two angles, after the tachyon mode between two D2-branes condensed, D2-brane charge is distributed in the bulk near the intersection point. We also find that, when two intersection angles are equal, the off-diagonal lowest mode is massless, and a new stable non-abelian configuration, which is supersymmetric up to a quadratic order in the fluctuations, is obtained by the deformation by this mode.

[ { "created": "Mon, 1 Dec 2003 07:39:30 GMT", "version": "v1" }, { "created": "Tue, 23 Dec 2003 08:31:07 GMT", "version": "v2" }, { "created": "Fri, 27 Feb 2004 07:41:40 GMT", "version": "v3" } ]

2009-11-10

[ [ "Nagaoka", "Satoshi", "" ] ]

We study recombinations of D-brane systems intersecting at more than one angle using super Yang-Mills theory. We find the condensation of an off-diagonal tachyon mode relates to the recombination, as was clarified for branes at one angle in hep-th/0303204. For branes at two angles, after the tachyon mode between two D2-branes condensed, D2-brane charge is distributed in the bulk near the intersection point. We also find that, when two intersection angles are equal, the off-diagonal lowest mode is massless, and a new stable non-abelian configuration, which is supersymmetric up to a quadratic order in the fluctuations, is obtained by the deformation by this mode.

11.535265

11.554383

13.079634

10.55

11.493697

11.30605

11.245914

11.214454

10.496821

13.162453

11.281784

10.804716

11.706531

10.970407

11.146645

11.033411

10.66612

11.191085

10.766348

11.236258

10.701238

hep-th/0410175

Xiaojun Wang

Xiao-Jun Wang and Neng-Chao Xiao

A note on brane/flux annihilation and dS vacua in string theory

14 pages, 3 eps figures, v2: typos modified and references added

null

USTC-ICTS-04-21

hep-th

null

We reconsider the dynamics of p anti-D3 branes inside the Klebanov-Strassler geometry, in which M units of R-R 3-form flux and K units of NS-NS 3-form flux are presented in deformed conifold. We find that anti-D3 branes blow up into a spherical D5-brane at weak string coupling via quantum tunnelling. The D5-brane can be either stable or unstable, depending on number of background flux. The nucleation rate of D5-brane is suppressed by \exp{-Mp^2}. The classical mechanically the evolution of unstable D5-brane annihilates one unit of R-R flux and ends with (K-p) D3-branes. This observation is consistent with one by Kachru, Pearson and Verlinde, who shew that anti-D3 branes in KS geometry can blow up into a spherical NS5 brane at strong string coupling, because NS5-brane is lighter that D5-brane at strong string coupling. We also argue that the system can end with a meta-stable dS vacuum by fine tuning of number of background flux.

[ { "created": "Sat, 16 Oct 2004 03:50:32 GMT", "version": "v1" }, { "created": "Sat, 23 Oct 2004 09:51:35 GMT", "version": "v2" } ]

2007-05-23

[ [ "Wang", "Xiao-Jun", "" ], [ "Xiao", "Neng-Chao", "" ] ]

We reconsider the dynamics of p anti-D3 branes inside the Klebanov-Strassler geometry, in which M units of R-R 3-form flux and K units of NS-NS 3-form flux are presented in deformed conifold. We find that anti-D3 branes blow up into a spherical D5-brane at weak string coupling via quantum tunnelling. The D5-brane can be either stable or unstable, depending on number of background flux. The nucleation rate of D5-brane is suppressed by \exp{-Mp^2}. The classical mechanically the evolution of unstable D5-brane annihilates one unit of R-R flux and ends with (K-p) D3-branes. This observation is consistent with one by Kachru, Pearson and Verlinde, who shew that anti-D3 branes in KS geometry can blow up into a spherical NS5 brane at strong string coupling, because NS5-brane is lighter that D5-brane at strong string coupling. We also argue that the system can end with a meta-stable dS vacuum by fine tuning of number of background flux.

9.740958

8.475015

10.808191

8.364715

8.296368

7.816137

8.293188

8.622697

8.501182

10.794765

7.903049

8.238899

9.526989

8.980392

8.499378

7.909412

8.509766

8.617638

8.845797

9.63676

8.33609

0812.0552

Glenn Barnich

Glenn Barnich and Cedric Troessaert

Manifest spin 2 duality with electric and magnetic sources

32 pages Latex file, minor cosmetic changes, reference added

JHEP 0901:030,2009

10.1088/1126-6708/2009/01/030

ULB-TH/08-29

hep-th gr-qc

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

We extend the formulation of spin 2 fields on Minkowski space which makes the action manifestly invariant under duality rotations to the case of interactions with external electric and magnetic sources by adding suitable potentials for the longitudinal and trace parts. In this framework, the string singularity of the linearized Taub-NUT solution is resolved into a Coulomb-like solution. Suitable surface charges to measure energy-momentum and angular momentum of both electric and magnetic type are constructed.

[ { "created": "Tue, 2 Dec 2008 17:19:34 GMT", "version": "v1" }, { "created": "Fri, 9 Jan 2009 15:36:04 GMT", "version": "v2" } ]

2010-04-28

[ [ "Barnich", "Glenn", "" ], [ "Troessaert", "Cedric", "" ] ]

We extend the formulation of spin 2 fields on Minkowski space which makes the action manifestly invariant under duality rotations to the case of interactions with external electric and magnetic sources by adding suitable potentials for the longitudinal and trace parts. In this framework, the string singularity of the linearized Taub-NUT solution is resolved into a Coulomb-like solution. Suitable surface charges to measure energy-momentum and angular momentum of both electric and magnetic type are constructed.

14.027411

13.34093

16.685135

13.31986

13.323631

14.254193

13.087775

13.30346

12.973742

14.567346

12.15047

12.396587

14.192014

13.036745

12.990547

13.31537

13.703744

13.022478

12.971

13.889678

13.389119

1509.01065

Athanasios Lahanas

G. A. Diamandis, A. B. Lahanas and K. Tamvakis

Towards a formulation of $f(R)$ supergravity

21 pages, references added, typos corrected

Phys. Rev. D 92, 105023 (2015)

10.1103/PhysRevD.92.105023

null

hep-th gr-qc

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

The supersymmetric completion of $R+R^2$ gravity is known to be equivalent to standard supergravity coupled to two chiral supermultiples with a K\"ahler potential of the no-scale type. The generalization of this programme to $f(R)$ gravity can be carried out in an analogous framework in terms of four chiral multiplets with appropriately chosen superpotential and K\"ahler potential. Although the construction strategy has been known for sometime, we carry out this programme further by setting these theories in a closed form. The general framework considered can accommodate supergravity actions local in the scalar curvature, dual to ordinary $N = 1$ supergravities. Although these are in general plagued by ghosts, the framework studied in this work offers a possibility that these can decouple as can be seen in specific examples.

[ { "created": "Thu, 3 Sep 2015 13:13:16 GMT", "version": "v1" }, { "created": "Sat, 12 Sep 2015 07:45:34 GMT", "version": "v2" }, { "created": "Fri, 20 Nov 2015 12:51:37 GMT", "version": "v3" } ]

2015-11-23

[ [ "Diamandis", "G. A.", "" ], [ "Lahanas", "A. B.", "" ], [ "Tamvakis", "K.", "" ] ]

The supersymmetric completion of $R+R^2$ gravity is known to be equivalent to standard supergravity coupled to two chiral supermultiples with a K\"ahler potential of the no-scale type. The generalization of this programme to $f(R)$ gravity can be carried out in an analogous framework in terms of four chiral multiplets with appropriately chosen superpotential and K\"ahler potential. Although the construction strategy has been known for sometime, we carry out this programme further by setting these theories in a closed form. The general framework considered can accommodate supergravity actions local in the scalar curvature, dual to ordinary $N = 1$ supergravities. Although these are in general plagued by ghosts, the framework studied in this work offers a possibility that these can decouple as can be seen in specific examples.

13.589316

12.130697

13.067667

12.022145

11.298023

11.674675

12.73498

11.092171

11.41092

12.87197

11.980392

12.86368

12.426004

12.054521

12.227242

12.41228

12.052377

12.38519

12.124957

12.593781

12.396035

hep-th/9403026

Jean-Loup Gervais

Jean-Loup Gervais, Jean-Francois Roussel

Solving the Strongly Coupled 2D Gravity: 2. Fractional-Spin Operators, and Topological Three-Point Functions

45 pages Latex file, 14 figures (uuencoded)

Nucl.Phys. B426 (1994) 140-186

10.1016/0550-3213(94)90130-9

LPTENS-94/01

hep-th

null

Progress along the line of a previous article are reported. One main point is to include chiral operators with fractional quantum group spins (fourth or sixth of integers) which are needed to achieve modular invariance. We extend the study of the chiral bootstrap (recently completed by E. Cremmer, and the present authors) to the case of semi-infinite quantum-group representations which correspond to positive integral screening numbers. In particular, we prove the Bidenharn-Elliot and Racah identities for q-deformed 6-j symbols generalized to continuous spins. The decoupling of the family of physical chiral operators (with real conformal weights) at the special values C_{Liouville}= =7, 13, and 19, is shown to provide a full solution of Moore and Seiberg's equations, only involving operators with real conformal weights. Moreover, our study confirms the existence of the strongly coupled topological models. The three-point functions are shown to be given by a product of leg factors similar to the ones of the weakly coupled models. However, contrary to this latter case, the equality between the quantum group spins of the holomorphic and antiholomorphic components is not preserved by the local vertex operator. Thus the ``c=1'' barrier appears as connected with a deconfinement of chirality.

[ { "created": "Fri, 4 Mar 1994 13:57:37 GMT", "version": "v1" } ]

2009-10-28

[ [ "Gervais", "Jean-Loup", "" ], [ "Roussel", "Jean-Francois", "" ] ]

Progress along the line of a previous article are reported. One main point is to include chiral operators with fractional quantum group spins (fourth or sixth of integers) which are needed to achieve modular invariance. We extend the study of the chiral bootstrap (recently completed by E. Cremmer, and the present authors) to the case of semi-infinite quantum-group representations which correspond to positive integral screening numbers. In particular, we prove the Bidenharn-Elliot and Racah identities for q-deformed 6-j symbols generalized to continuous spins. The decoupling of the family of physical chiral operators (with real conformal weights) at the special values C_{Liouville}= =7, 13, and 19, is shown to provide a full solution of Moore and Seiberg's equations, only involving operators with real conformal weights. Moreover, our study confirms the existence of the strongly coupled topological models. The three-point functions are shown to be given by a product of leg factors similar to the ones of the weakly coupled models. However, contrary to this latter case, the equality between the quantum group spins of the holomorphic and antiholomorphic components is not preserved by the local vertex operator. Thus the ``c=1'' barrier appears as connected with a deconfinement of chirality.

18.341282

18.827665

19.25523

15.947455

19.47073

18.106457

19.213495

18.09264

17.899458

21.855724

17.243778

16.25597

17.905903

16.701019

17.003073

16.681601

17.056175

16.836647

16.663792

17.144093

17.001646

hep-th/0604161

Ofer Aharony

Ofer Aharony, Jacob Sonnenschein and Shimon Yankielowicz

A holographic model of deconfinement and chiral symmetry restoration

30 pages, 7 figures, latex. v2: minor corrections and added reference to parallel work

Annals Phys.322:1420-1443,2007

10.1016/j.aop.2006.11.002

WIS/05/06-APR-DPP, TAUP-2824/06

hep-th

null

We analyze the finite temperature behavior of the Sakai-Sugimoto model, which is a holographic dual of a theory which spontaneously breaks a U(N_f)_L x U(N_f)_R chiral flavor symmetry at zero temperature. The theory involved is a 4+1 dimensional supersymmetric SU(N_c) gauge theory compactified on a circle of radius R with anti-periodic boundary conditions for fermions, coupled to N_f left-handed quarks and N_f right-handed quarks which are localized at different points on the compact circle (separated by a distance L). In the supergravity limit which we analyze (corresponding in particular to the large N_c limit of the gauge theory), the theory undergoes a deconfinement phase transition at a temperature T_d = 1 / 2 \pi R. For quark separations obeying L > L_c = 0.97 * R the chiral symmetry is restored at this temperature, but for L < L_c = 0.97 * R there is an intermediate phase which is deconfined with broken chiral symmetry, and the chiral symmetry is restored at T = 0.154 / L. All of these phase transitions are of first order.

[ { "created": "Mon, 24 Apr 2006 15:16:08 GMT", "version": "v1" }, { "created": "Wed, 7 Jun 2006 07:15:05 GMT", "version": "v2" } ]

2009-09-29

[ [ "Aharony", "Ofer", "" ], [ "Sonnenschein", "Jacob", "" ], [ "Yankielowicz", "Shimon", "" ] ]

We analyze the finite temperature behavior of the Sakai-Sugimoto model, which is a holographic dual of a theory which spontaneously breaks a U(N_f)_L x U(N_f)_R chiral flavor symmetry at zero temperature. The theory involved is a 4+1 dimensional supersymmetric SU(N_c) gauge theory compactified on a circle of radius R with anti-periodic boundary conditions for fermions, coupled to N_f left-handed quarks and N_f right-handed quarks which are localized at different points on the compact circle (separated by a distance L). In the supergravity limit which we analyze (corresponding in particular to the large N_c limit of the gauge theory), the theory undergoes a deconfinement phase transition at a temperature T_d = 1 / 2 \pi R. For quark separations obeying L > L_c = 0.97 * R the chiral symmetry is restored at this temperature, but for L < L_c = 0.97 * R there is an intermediate phase which is deconfined with broken chiral symmetry, and the chiral symmetry is restored at T = 0.154 / L. All of these phase transitions are of first order.

4.456851

4.577232

5.051438

4.405767

4.278002

4.907569

4.443794

4.404956

4.345929

4.969326

4.422675

4.554334

4.672164

4.490869

4.400505

4.395302

4.6168

4.511813

4.533666

4.648338

4.334814

1710.05791

Alexander Krikun

Tomas Andrade, Alexander Krikun, Koenraad Schalm and Jan Zaanen

Doping the holographic Mott insulator

27 pages, 9 figures. Accepted in Nature Physics

null

10.1038/s41567-018-0217-6

null

hep-th cond-mat.str-el cond-mat.supr-con

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

Mott insulators form because of strong electron repulsions, being at the heart of strongly correlated electron physics. Conventionally these are understood as classical "traffic jams" of electrons described by a short-ranged entangled product ground state. Exploiting the holographic duality, which maps the physics of densely entangled matter onto gravitational black hole physics, we show how Mott-insulators can be constructed departing from entangled non-Fermi liquid metallic states, such as the strange metals found in cuprate superconductors. These "entangled Mott insulators" have traits in common with the "classical" Mott insulators, such as the formation of Mott gap in the optical conductivity, super-exchange-like interactions, and form "stripes" when doped. They also exhibit new properties: the ordering wave vectors are detached from the number of electrons in the unit cell, and the DC resistivity diverges algebraically instead of exponentially as function of temperature. These results may shed light on the mysterious ordering phenomena observed in underdoped cuprates.

[ { "created": "Mon, 16 Oct 2017 15:50:25 GMT", "version": "v1" }, { "created": "Sat, 2 Jun 2018 21:46:00 GMT", "version": "v2" } ]

2018-08-03

[ [ "Andrade", "Tomas", "" ], [ "Krikun", "Alexander", "" ], [ "Schalm", "Koenraad", "" ], [ "Zaanen", "Jan", "" ] ]

Mott insulators form because of strong electron repulsions, being at the heart of strongly correlated electron physics. Conventionally these are understood as classical "traffic jams" of electrons described by a short-ranged entangled product ground state. Exploiting the holographic duality, which maps the physics of densely entangled matter onto gravitational black hole physics, we show how Mott-insulators can be constructed departing from entangled non-Fermi liquid metallic states, such as the strange metals found in cuprate superconductors. These "entangled Mott insulators" have traits in common with the "classical" Mott insulators, such as the formation of Mott gap in the optical conductivity, super-exchange-like interactions, and form "stripes" when doped. They also exhibit new properties: the ordering wave vectors are detached from the number of electrons in the unit cell, and the DC resistivity diverges algebraically instead of exponentially as function of temperature. These results may shed light on the mysterious ordering phenomena observed in underdoped cuprates.

10.665396

11.703506

12.851661

11.948205

12.688492

12.621646

11.200599

11.498054

11.674244

14.661277

10.307494

10.40983

11.115436

10.732336

10.289361

10.245279

10.117822

10.727969

10.695137

10.994634

10.524284

1405.7388

Nelson R. F. Braga

Nelson R. F. Braga and Edmond Iancu

Anomalous dimensions from rotating open strings in AdS/CFT

V2: two related references included

null

10.1007/JHEP08(2014)104

null

hep-th

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

We propose a new entry within the dictionary of the AdS/CFT duality at strong coupling: in the limit of a large spin or a large R-charge, the anomalous dimension of the gauge theory operator dual to a semiclassical rotating string is proportional to the string proper length. This conjecture is motivated by a generalization to strings of the rule for computing anomalous dimensions of massive particles and supergravity fields in the anti-de Sitter space. We show that this proportionality holds for a rotating closed string in global AdS space, representing a high spin operator made of fields in the adjoint representation. It is also valid for closed strings rotating in $S^5$ (representing operators with large R-charge), for closed strings with multiple AdS spin, and for giant magnons. Based on this conjecture, we calculate the anomalous dimension $\delta$ of operators made of fields in the fundamental representation, associated with high spin mesons, and which are represented by rotating open strings attached to probe D7-branes. The result is a logarithmic dependence upon the spin, $\delta\sim \sqrt{\lambda}\ln S$, similar to the closed string case. We show that the operator properties --- anomalous dimension and spin --- are obtained from measurements made by a local observer in the anti-de Sitter space. For the open string case, this ensures that these quantities are independent of the mass scale introduced by the D7-branes (the quark mass), as expected on physical grounds. In contrast, properties of the gauge theory states, like the energy, correspond to measurements by a gauge theory observer and depend upon the mass scale --- once again, as expected.

[ { "created": "Wed, 28 May 2014 20:16:14 GMT", "version": "v1" }, { "created": "Thu, 12 Jun 2014 02:57:23 GMT", "version": "v2" } ]

2015-06-19

[ [ "Braga", "Nelson R. F.", "" ], [ "Iancu", "Edmond", "" ] ]

We propose a new entry within the dictionary of the AdS/CFT duality at strong coupling: in the limit of a large spin or a large R-charge, the anomalous dimension of the gauge theory operator dual to a semiclassical rotating string is proportional to the string proper length. This conjecture is motivated by a generalization to strings of the rule for computing anomalous dimensions of massive particles and supergravity fields in the anti-de Sitter space. We show that this proportionality holds for a rotating closed string in global AdS space, representing a high spin operator made of fields in the adjoint representation. It is also valid for closed strings rotating in $S^5$ (representing operators with large R-charge), for closed strings with multiple AdS spin, and for giant magnons. Based on this conjecture, we calculate the anomalous dimension $\delta$ of operators made of fields in the fundamental representation, associated with high spin mesons, and which are represented by rotating open strings attached to probe D7-branes. The result is a logarithmic dependence upon the spin, $\delta\sim \sqrt{\lambda}\ln S$, similar to the closed string case. We show that the operator properties --- anomalous dimension and spin --- are obtained from measurements made by a local observer in the anti-de Sitter space. For the open string case, this ensures that these quantities are independent of the mass scale introduced by the D7-branes (the quark mass), as expected on physical grounds. In contrast, properties of the gauge theory states, like the energy, correspond to measurements by a gauge theory observer and depend upon the mass scale --- once again, as expected.

7.347437

7.76633

8.692361

7.442522

8.348527

8.066821

8.072528

7.684999

7.600813

8.271533

7.900797

7.435297

7.383594

7.337913

7.490549

7.536803

7.507905

7.321176

7.381922

7.271776

7.33925

0709.3428

Soumitra SenGupta

Biswarup Mukhopadhyaya, Somasri Sen and Soumitra SenGupta

Bulk antisymmetric tensor fields in a Randall-Sundrum model

8 Pages, Latex

Phys.Rev.D76:121501,2007

10.1103/PhysRevD.76.121501

null

hep-th hep-ph

null

We consider bulk antisymmetric tensor fields of various ranks in a Randall-Sundrum scenario. We show that, rank-2 onwards, the zero-modes of the projections of these fields on the (3+1) dimensional visible brane become increasingly weaker as the rank of the tensor increases. All such tensor fields of rank 4 or more are absent from the dynamics in four dimensions. This leaves only the zero-mode graviton to have coupling $\sim 1/M_P$ with matter, thus explaining why the large-scale behaviour of the universe is governed by gravity only. We have also computed the masses of the heavier modes upto rank-3, and shown that they are relatively less likely to have detectable accelerator signals.

[ { "created": "Fri, 21 Sep 2007 12:53:51 GMT", "version": "v1" } ]

2008-11-26

[ [ "Mukhopadhyaya", "Biswarup", "" ], [ "Sen", "Somasri", "" ], [ "SenGupta", "Soumitra", "" ] ]

We consider bulk antisymmetric tensor fields of various ranks in a Randall-Sundrum scenario. We show that, rank-2 onwards, the zero-modes of the projections of these fields on the (3+1) dimensional visible brane become increasingly weaker as the rank of the tensor increases. All such tensor fields of rank 4 or more are absent from the dynamics in four dimensions. This leaves only the zero-mode graviton to have coupling $\sim 1/M_P$ with matter, thus explaining why the large-scale behaviour of the universe is governed by gravity only. We have also computed the masses of the heavier modes upto rank-3, and shown that they are relatively less likely to have detectable accelerator signals.

13.867918

13.460791

11.974821

11.853307

13.211741

12.672079

12.552446

11.160627

11.911039

14.200233

12.065223

13.048661

11.924926

12.157254

12.147843

12.600869

12.347599

12.415986

11.934485

12.415616

12.238812

1101.0877

Kuldeep Kumar

Rabin Banerjee, Biswajit Chakraborty and Kuldeep Kumar

Reply to "Comment on 'Noncommutative gauge theories and Lorentz symmetry'"

5 pages, LaTeX, appeared in Phys. Rev. D

Phys. Rev. D 77 (2008) 048702

10.1103/PhysRevD.77.048702

null

hep-th

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

This is a reply to "Comment on 'Noncommutative gauge theories and Lorentz symmetry,'" Phys. Rev. D 77 (2008) 048701 by Alfredo Iorio.

[ { "created": "Wed, 5 Jan 2011 04:08:56 GMT", "version": "v1" } ]

2011-01-06

[ [ "Banerjee", "Rabin", "" ], [ "Chakraborty", "Biswajit", "" ], [ "Kumar", "Kuldeep", "" ] ]

This is a reply to "Comment on 'Noncommutative gauge theories and Lorentz symmetry,'" Phys. Rev. D 77 (2008) 048701 by Alfredo Iorio.

9.827104

8.660921

9.042333

8.001793

7.457777

8.38122

9.369599

7.709114

9.624685

8.38745

7.85362

7.898752

8.720366

8.043666

8.216671

7.629258

8.503022

8.006663

8.186829

8.921415

7.460503

hep-th/0211098

Mina Aganagic

Mina Aganagic, Albrecht Klemm, Marcos Marino and Cumrun Vafa

Matrix Model as a Mirror of Chern-Simons Theory

harvmac, 54 pages, 13 figures

JHEP 0402 (2004) 010

10.1088/1126-6708/2004/02/010

HUTP-02/A057, HU-EP-02/47

hep-th

null

Using mirror symmetry, we show that Chern-Simons theory on certain manifolds such as lens spaces reduces to a novel class of Hermitian matrix models, where the measure is that of unitary matrix models. We show that this agrees with the more conventional canonical quantization of Chern-Simons theory. Moreover, large N dualities in this context lead to computation of all genus A-model topological amplitudes on toric Calabi-Yau manifolds in terms of matrix integrals. In the context of type IIA superstring compactifications on these Calabi-Yau manifolds with wrapped D6 branes (which are dual to M-theory on G2 manifolds) this leads to engineering and solving F-terms for N=1 supersymmetric gauge theories with superpotentials involving certain multi-trace operators.

[ { "created": "Mon, 11 Nov 2002 21:38:03 GMT", "version": "v1" } ]

2009-11-07

[ [ "Aganagic", "Mina", "" ], [ "Klemm", "Albrecht", "" ], [ "Marino", "Marcos", "" ], [ "Vafa", "Cumrun", "" ] ]

Using mirror symmetry, we show that Chern-Simons theory on certain manifolds such as lens spaces reduces to a novel class of Hermitian matrix models, where the measure is that of unitary matrix models. We show that this agrees with the more conventional canonical quantization of Chern-Simons theory. Moreover, large N dualities in this context lead to computation of all genus A-model topological amplitudes on toric Calabi-Yau manifolds in terms of matrix integrals. In the context of type IIA superstring compactifications on these Calabi-Yau manifolds with wrapped D6 branes (which are dual to M-theory on G2 manifolds) this leads to engineering and solving F-terms for N=1 supersymmetric gauge theories with superpotentials involving certain multi-trace operators.

5.809406

6.269613

8.186173

5.921466

5.95726

6.004037

5.63326

6.127738

6.232277

8.709315

5.914181

5.963889

7.052038

5.977615

5.78035

5.959448

6.11787

5.917909

6.098122

7.152772

6.019486

hep-th/0304045

Vasilis Niarchos

David Kutasov and Vasilis Niarchos

Tachyon Effective Actions In Open String Theory

harvmac, 19 pages; v2 two references added; v3 additional comments and a reference

Nucl.Phys. B666 (2003) 56-70

10.1016/S0550-3213(03)00498-X

null

hep-th

null

We argue that the Dirac-Born-Infeld (DBI) action coupled to a tachyon, that is known to reproduce some aspects of open string dynamics, can be obtained from open string theory in a certain limit, which generalizes the limit leading to the usual DBI action. This helps clarify which aspects of the full open string theory are captured by this action.

[ { "created": "Mon, 7 Apr 2003 17:34:44 GMT", "version": "v1" }, { "created": "Sun, 20 Apr 2003 22:39:14 GMT", "version": "v2" }, { "created": "Mon, 2 Jun 2003 17:07:45 GMT", "version": "v3" } ]

2010-04-05

[ [ "Kutasov", "David", "" ], [ "Niarchos", "Vasilis", "" ] ]

We argue that the Dirac-Born-Infeld (DBI) action coupled to a tachyon, that is known to reproduce some aspects of open string dynamics, can be obtained from open string theory in a certain limit, which generalizes the limit leading to the usual DBI action. This helps clarify which aspects of the full open string theory are captured by this action.

6.808741

5.849318

7.112065

5.74909

5.962774

5.909986

5.964097

5.650057

5.372953

6.967606

5.364534

5.748062

7.140191

6.062387

5.861913

5.784633

5.680763

5.737522

6.107793

6.723342

5.730308

hep-th/9509036

Alexander Kalloniatis

S.S. Pinsky (The Ohio-State University) and A.C. Kalloniatis (Max-Planck Institut fuer Kernphysik, Heidelberg)

Light-Front QCD(1+1) Coupled to Adjoint Scalar Matter

LaTex, 13 pages. Submitted to Physics Letters B

Phys.Lett. B365 (1996) 225-232

10.1016/0370-2693(95)01259-1

OHSTPY-HEP-TH-93-014

hep-th

null

We consider adjoint scalar matter coupled to QCD(1+1) in light-cone quantization on a finite `interval' with periodic boundary conditions. We work with the gauge group SU(2) which is modified to ${\rm{SU(2)/Z_2}}$ by the non-trivial topology. The model is interesting for various nonperturbative approaches because it is the sector of zero transverse momentum gluons of pure glue QCD(2+1), where the scalar field is the remnant of the transverse gluon component. We use the Hamiltonian formalism in the gauge $\partial_- A^+ = 0$. What survives is the dynamical zero mode of $A^+$, which in other theories gives topological structure and degenerate vacua. With a point-splitting regularization designed to preserve symmetry under large gauge transformations, an extra $A^+$ dependent term appears in the current $J^+$. This is reminiscent of an (unwanted) anomaly. In particular, the gauge invariant charge and the similarly regulated $P^+$ no longer commute with the Hamiltonian. We show that nonetheless one can construct physical states of definite momentum which are not {\it invariant} under large gauge transformations but do {\it transform} in a well-defined way. As well, in the physical subspace we recover vanishing {\it expectation values} of the commutators between the gauge invariant charge, momentum and Hamiltonian operators. It is argued that in this theory the vacuum is nonetheless trivial and the spectrum is consistent with the results of others who have treated the large N, SU(N), version of this theory in the continuum limit.

[ { "created": "Thu, 7 Sep 1995 15:14:05 GMT", "version": "v1" } ]

2009-10-28

[ [ "Pinsky", "S. S.", "", "The Ohio-State University" ], [ "Kalloniatis", "A. C.", "", "Max-Planck Institut fuer Kernphysik, Heidelberg" ] ]

We consider adjoint scalar matter coupled to QCD(1+1) in light-cone quantization on a finite `interval' with periodic boundary conditions. We work with the gauge group SU(2) which is modified to ${\rm{SU(2)/Z_2}}$ by the non-trivial topology. The model is interesting for various nonperturbative approaches because it is the sector of zero transverse momentum gluons of pure glue QCD(2+1), where the scalar field is the remnant of the transverse gluon component. We use the Hamiltonian formalism in the gauge $\partial_- A^+ = 0$. What survives is the dynamical zero mode of $A^+$, which in other theories gives topological structure and degenerate vacua. With a point-splitting regularization designed to preserve symmetry under large gauge transformations, an extra $A^+$ dependent term appears in the current $J^+$. This is reminiscent of an (unwanted) anomaly. In particular, the gauge invariant charge and the similarly regulated $P^+$ no longer commute with the Hamiltonian. We show that nonetheless one can construct physical states of definite momentum which are not {\it invariant} under large gauge transformations but do {\it transform} in a well-defined way. As well, in the physical subspace we recover vanishing {\it expectation values} of the commutators between the gauge invariant charge, momentum and Hamiltonian operators. It is argued that in this theory the vacuum is nonetheless trivial and the spectrum is consistent with the results of others who have treated the large N, SU(N), version of this theory in the continuum limit.

11.207272

11.538672

11.22274

11.028827

11.511009

11.653863

11.647243

11.168189

11.179048

12.936718

11.173206

10.780056

11.264454

10.633289

10.983647

10.651792

10.8529

10.56272

10.557846

11.01465

10.65812

0911.3578

Madad Ali Valuyan

M.A. Valuyan, and S.S. Gousheh

Dirichlet Casimir Energy for a Scalar Field in a Sphere: An Alternative Method

17 pages, 7 figures, 2 tables; Accepted for publication in Int. J. Mod. Phys. A

Int.J.Mod.Phys.A25:1165-1183,2010

10.1142/S0217751X10048408

null

hep-th

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

In this paper we compute the leading order of the Casimir energy for a free massless scalar field confined in a sphere in three spatial dimensions, with the Dirichlet boundary condition. When one tabulates all of the reported values of the Casimir energies for two closed geometries, cubical and spherical, in different space-time dimensions and with different boundary conditions, one observes a complicated pattern of signs. This pattern shows that the Casimir energy depends crucially on the details of the geometry, the number of the spatial dimensions, and the boundary conditions. The dependence of the \emph{sign} of the Casimir energy on the details of the geometry, for a fixed spatial dimensions and boundary conditions has been a surprise to us and this is our main motivation for doing the calculations presented in this paper. Moreover, all of the calculations for spherical geometries include the use of numerical methods combined with intricate analytic continuations to handle many different sorts of divergences which naturally appear in this category of problems. The presence of divergences is always a source of concern about the accuracy of the numerical results. Our approach also includes numerical methods, and is based on Boyer's method for calculating the electromagnetic Casimir energy in a perfectly conducting sphere. This method, however, requires the least amount of analytic continuations. The value that we obtain confirms the previously established result.

[ { "created": "Wed, 18 Nov 2009 15:43:14 GMT", "version": "v1" } ]

2010-05-27

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

In this paper we compute the leading order of the Casimir energy for a free massless scalar field confined in a sphere in three spatial dimensions, with the Dirichlet boundary condition. When one tabulates all of the reported values of the Casimir energies for two closed geometries, cubical and spherical, in different space-time dimensions and with different boundary conditions, one observes a complicated pattern of signs. This pattern shows that the Casimir energy depends crucially on the details of the geometry, the number of the spatial dimensions, and the boundary conditions. The dependence of the \emph{sign} of the Casimir energy on the details of the geometry, for a fixed spatial dimensions and boundary conditions has been a surprise to us and this is our main motivation for doing the calculations presented in this paper. Moreover, all of the calculations for spherical geometries include the use of numerical methods combined with intricate analytic continuations to handle many different sorts of divergences which naturally appear in this category of problems. The presence of divergences is always a source of concern about the accuracy of the numerical results. Our approach also includes numerical methods, and is based on Boyer's method for calculating the electromagnetic Casimir energy in a perfectly conducting sphere. This method, however, requires the least amount of analytic continuations. The value that we obtain confirms the previously established result.

8.2566

8.518277

8.953703

8.490285

8.569972

8.703961

8.769827

8.071529

8.177327

9.29245

8.135434

8.185431

8.232191

8.061573

8.232847

8.438193

8.289461

8.224554

8.077729

8.352742

8.103975

0808.0324

Wung-Hong Huang

Wung-Hong Huang, Kuo-Wei Huang

Thermodynamics on Noncommutative Geometry in Coherent State Formalism

Add analysis about thermodynamics of squeezed coherent state, Latex 12 pages

Phys.Lett.B670:416-420,2009

10.1016/j.physletb.2008.11.012

null

hep-th

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

The thermodynamics of ideal gas on the noncommutative geometry in the coherent state formalism is investigated. We first evaluate the statistical interparticle potential and see that there are residual "attraction (repulsion) potential" between boson (fermion) in the high temperature limit. The characters could be traced to the fact that, the particle with mass $m$ in noncommutative thermal geometry with noncommutativity $\theta$ and temperature $T$ will correspond to that in the commutative background with temperature $T(1+kTm\theta)^{-1}$. Such a correspondence implies that the ideal gas energy will asymptotically approach to a finite limiting value as that on commutative geometry at $T_\theta= (km\theta)^{-1}$. We also investigate the squeezed coherent states and see that they could have arbitrary mean energy. The thermal properties of those systems are calculated and compared to each other. We find that the heat capacity of the squeezed coherent states of boson and fermion on the noncommutative geometry have different values, contrast to that on the commutative geometry.

[ { "created": "Mon, 4 Aug 2008 08:56:04 GMT", "version": "v1" }, { "created": "Thu, 7 Aug 2008 13:03:58 GMT", "version": "v2" }, { "created": "Mon, 11 Aug 2008 14:31:35 GMT", "version": "v3" }, { "created": "Wed, 13 Aug 2008 09:25:11 GMT", "version": "v4" }, { "created": "Sun, 7 Sep 2008 14:34:12 GMT", "version": "v5" }, { "created": "Fri, 19 Dec 2008 09:03:56 GMT", "version": "v6" } ]

2009-01-16

[ [ "Huang", "Wung-Hong", "" ], [ "Huang", "Kuo-Wei", "" ] ]

The thermodynamics of ideal gas on the noncommutative geometry in the coherent state formalism is investigated. We first evaluate the statistical interparticle potential and see that there are residual "attraction (repulsion) potential" between boson (fermion) in the high temperature limit. The characters could be traced to the fact that, the particle with mass $m$ in noncommutative thermal geometry with noncommutativity $\theta$ and temperature $T$ will correspond to that in the commutative background with temperature $T(1+kTm\theta)^{-1}$. Such a correspondence implies that the ideal gas energy will asymptotically approach to a finite limiting value as that on commutative geometry at $T_\theta= (km\theta)^{-1}$. We also investigate the squeezed coherent states and see that they could have arbitrary mean energy. The thermal properties of those systems are calculated and compared to each other. We find that the heat capacity of the squeezed coherent states of boson and fermion on the noncommutative geometry have different values, contrast to that on the commutative geometry.

10.023697

10.260376

10.314247

9.520593

10.060056

10.095338

10.483739

9.63943

9.277295

10.07343

9.420231

9.286962

9.383699

9.373925

9.328199

9.51303

9.364675

9.032938

9.377109

9.224831

9.177563

hep-th/0701179

Seiji Terashima

Supertubes in Matrix model and DBI action

24 pages, references added, version to appear in JHEP

JHEP 0703:075,2007

10.1088/1126-6708/2007/03/075

YITP-07-01

hep-th

null

We show the equivalence between the supertube solutions with an arbitrary cross section in two different actions, the DBI action for the D2-brane and the matrix model action for the D0-branes. More precisely, the equivalence between the supertubes in the D2-brane picture and the D0-brane picture is shown in the boundary state formalism which is valid for all order in \alpha'. This is an application of the method using the infinitely many D0-branes and anti-D0-branes which was used to show other equivalence relations between two seemingly different D-brane systems, including the D-brane realization of the ADHM construction of instanton. We also apply this method to the superfunnel type solutions successfully.

[ { "created": "Fri, 19 Jan 2007 12:30:59 GMT", "version": "v1" }, { "created": "Wed, 7 Feb 2007 11:24:15 GMT", "version": "v2" }, { "created": "Thu, 8 Mar 2007 07:05:34 GMT", "version": "v3" } ]

2010-10-27

[ [ "Terashima", "Seiji", "" ] ]

We show the equivalence between the supertube solutions with an arbitrary cross section in two different actions, the DBI action for the D2-brane and the matrix model action for the D0-branes. More precisely, the equivalence between the supertubes in the D2-brane picture and the D0-brane picture is shown in the boundary state formalism which is valid for all order in \alpha'. This is an application of the method using the infinitely many D0-branes and anti-D0-branes which was used to show other equivalence relations between two seemingly different D-brane systems, including the D-brane realization of the ADHM construction of instanton. We also apply this method to the superfunnel type solutions successfully.

8.820403

7.679956

10.072804

7.6486

8.409479

8.720394

8.536364

7.726304

8.053269

8.986184

7.732361

7.954732

8.563421

8.022479

8.463257

7.878973

7.979273

7.876956

7.877508

8.759076

7.974853

0712.1873

Mohammad Reza Setare

M. R. Setare, J. Sadeghi, A. R. Amani

Shape invariance method for quintom model in the bent brane background

13 pages, no figure

Phys.Lett.B660:299-306,2008

10.1016/j.physletb.2008.01.024

null

hep-th

null

In the present paper, we study the braneworld scenarios in the presence of quintom dark energy coupled by gravity. The first-order formalism for the bent brane (for both de Sitter and anti-de Sitter geometry), leads us to discuss the shape invariance method in the bent brane systems. So, by using the fluctuations of metric and quintom fields we obtain the Schrodinger equation. Then we factorize the corresponding Hamiltonian in terms of multiplication of the first-order differential operators. These first-order operators lead us to obtain the energy spectrum with the help of shape invariance method.

[ { "created": "Wed, 12 Dec 2007 06:26:56 GMT", "version": "v1" } ]

2008-11-26

[ [ "Setare", "M. R.", "" ], [ "Sadeghi", "J.", "" ], [ "Amani", "A. R.", "" ] ]

In the present paper, we study the braneworld scenarios in the presence of quintom dark energy coupled by gravity. The first-order formalism for the bent brane (for both de Sitter and anti-de Sitter geometry), leads us to discuss the shape invariance method in the bent brane systems. So, by using the fluctuations of metric and quintom fields we obtain the Schrodinger equation. Then we factorize the corresponding Hamiltonian in terms of multiplication of the first-order differential operators. These first-order operators lead us to obtain the energy spectrum with the help of shape invariance method.

11.552752

10.528586

12.037691

9.935308

9.892383

10.01089

10.868162

11.43829

10.11467

10.670222

10.515924

10.127372

10.456585

10.093242

9.979674

10.453441

9.925516

9.973701

10.513531

10.878331

10.496827

1812.10209

Sok-Hyon Won

Ok Song An, Yong Hae Ko, Sok-Hyon Won

Super-Weyl Anomaly from Holography and Rigid Supersymmetry Algebra on Two-Sphere

17 pages

Phys. Rev. D 99, 106007 (2019)

10.1103/PhysRevD.99.106007

null

hep-th

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

Operators transform anomalously under the symmetry in the presence of quantum anomalies. We study this aspect of the super-Weyl anomaly in $\mathcal N=(1,1)$ superconformal field theories (SCFTs), in the context of AdS/CFT. In particular, we carry out holographic renormalization for $(1,1)$ pure AdS$_3$ supergravity that is supposed to be a gravity dual of the $\mathcal N=(1,1)$ SCFT, and derive holographic superconformal Ward identities with corresponding anomalies. We show that the obtained super-Weyl anomaly of the $\mathcal N=(1,1)$ SCFT induces a quantum correction term in the transformation law of the supercurrent under the rigid supersymmetry. We demonstrate that the correction term does not affect the $\mathcal N=(1,1)$ rigid supersymmetry algebra on two-sphere.

[ { "created": "Wed, 26 Dec 2018 03:00:21 GMT", "version": "v1" } ]

2019-05-22

[ [ "An", "Ok Song", "" ], [ "Ko", "Yong Hae", "" ], [ "Won", "Sok-Hyon", "" ] ]

Operators transform anomalously under the symmetry in the presence of quantum anomalies. We study this aspect of the super-Weyl anomaly in $\mathcal N=(1,1)$ superconformal field theories (SCFTs), in the context of AdS/CFT. In particular, we carry out holographic renormalization for $(1,1)$ pure AdS$_3$ supergravity that is supposed to be a gravity dual of the $\mathcal N=(1,1)$ SCFT, and derive holographic superconformal Ward identities with corresponding anomalies. We show that the obtained super-Weyl anomaly of the $\mathcal N=(1,1)$ SCFT induces a quantum correction term in the transformation law of the supercurrent under the rigid supersymmetry. We demonstrate that the correction term does not affect the $\mathcal N=(1,1)$ rigid supersymmetry algebra on two-sphere.

6.057178

5.531048

6.662919

5.801009

6.29151

5.875253

5.760075

5.744217

5.511689

6.860242

6.129939

5.846089

6.338712

5.94464

5.838721

5.950654

5.806899

6.161142

6.008214

6.286454

6.04617

hep-th/0307210

Paul Heslop

P.J. Heslop and P.S. Howe

Aspects of N=4 SYM

49 pages. Added reference and acknowledgements

JHEP 0401 (2004) 058

10.1088/1126-6708/2004/01/058

KCL-TH-03-12

hep-th

null

The properties of gauge-invariant composite operators and their correlation functions in N=4 SYM are discussed in the analytic superspace formalism. A complete classification of the different types of operators in the theory is given. Operators can be either protected or unprotected according to whether they do not or do have anomalous dimensions, and the analytic superspace formalism allows one to identify which type a given operator is in a straightforward manner. A simple discussion is given of the behaviour of reducible multiplets at threshold. It is pointed out that there is a class of ``semi-protected'' operators which do not have anomalous dimensions but which do not necessarily have non-renormalised three-point functions when the other two operators in the correlator are protected, although two-point functions of such operators are non-renormalised. A complete discussion of superconformal invariants in analytic superspace is given. The paper includes a modified discussion of the transformation rules of analytic superfields which clarifies the $U(1)_Y$ properties of operators and correlation functions and, in particular, explicit examples are given of three-point correlation functions which violate this symmetry. A tensor, $\cE$, invariant under $SL(n|m)$ but not under $GL(n|m)$, is introduced and used in the discussion of $U(1)_Y$ and in the construction of invariants.

[ { "created": "Tue, 22 Jul 2003 10:39:42 GMT", "version": "v1" }, { "created": "Wed, 8 Oct 2003 15:33:59 GMT", "version": "v2" } ]

2009-11-10

[ [ "Heslop", "P. J.", "" ], [ "Howe", "P. S.", "" ] ]

The properties of gauge-invariant composite operators and their correlation functions in N=4 SYM are discussed in the analytic superspace formalism. A complete classification of the different types of operators in the theory is given. Operators can be either protected or unprotected according to whether they do not or do have anomalous dimensions, and the analytic superspace formalism allows one to identify which type a given operator is in a straightforward manner. A simple discussion is given of the behaviour of reducible multiplets at threshold. It is pointed out that there is a class of ``semi-protected'' operators which do not have anomalous dimensions but which do not necessarily have non-renormalised three-point functions when the other two operators in the correlator are protected, although two-point functions of such operators are non-renormalised. A complete discussion of superconformal invariants in analytic superspace is given. The paper includes a modified discussion of the transformation rules of analytic superfields which clarifies the $U(1)_Y$ properties of operators and correlation functions and, in particular, explicit examples are given of three-point correlation functions which violate this symmetry. A tensor, $\cE$, invariant under $SL(n|m)$ but not under $GL(n|m)$, is introduced and used in the discussion of $U(1)_Y$ and in the construction of invariants.

6.861635

7.507971

7.406765

6.765628

7.090326

6.649669

6.612197

6.746874

6.615593

8.033706

6.756658

6.595843

6.968839

6.637091

6.539217

6.670103

6.63802

6.591598

6.616441

6.929346

6.679262

1907.07298

Aleksandr N. Pinzul

Felipe Rodrigues de Almeida, Aleksandr Pinzul and Allen Stern

Non-commutative $AdS_2/CFT_1$ duality: the case of massive and interacting scalar fields

34 pages

Phys. Rev. D 100, 086005 (2019)

10.1103/PhysRevD.100.086005

null

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

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

We continue the study of the nocommutative $AdS_2 / CFT_1$ correspondence. We extend our previous results obtained for a free massless scalar field to the case of a massive scalar field. Both the free and interacting cases are considered. For both cases it is confirmed that to the leading order in noncommutative corrections the 2- and 3-point correlation functions have the form that is assumed by some (yet unspecified) dual $CFT$. We also argue that there does not exist a map which connects the commutative model to its non-commutative counterpart, and therefore the conformal behaviour of the noncommutative correlators is a non-trivial result.

[ { "created": "Wed, 17 Jul 2019 01:21:41 GMT", "version": "v1" } ]

2019-10-16

[ [ "de Almeida", "Felipe Rodrigues", "" ], [ "Pinzul", "Aleksandr", "" ], [ "Stern", "Allen", "" ] ]

We continue the study of the nocommutative $AdS_2 / CFT_1$ correspondence. We extend our previous results obtained for a free massless scalar field to the case of a massive scalar field. Both the free and interacting cases are considered. For both cases it is confirmed that to the leading order in noncommutative corrections the 2- and 3-point correlation functions have the form that is assumed by some (yet unspecified) dual $CFT$. We also argue that there does not exist a map which connects the commutative model to its non-commutative counterpart, and therefore the conformal behaviour of the noncommutative correlators is a non-trivial result.

8.398298

7.435116

8.797991

7.560367

7.805033

7.856664

7.922544

7.968616

7.435066

8.358273

7.456105

7.903644

7.863911

7.59734

7.870479

8.022962

7.89498

7.731655

7.507513

7.730274

7.657104

hep-th/0012201

Matteo Bertolini

M. Bertolini and M. Trigiante

How much can supergravity teach us about microscopic features of BPS black holes?

17 pages, latex. To appear in the proceedings of the IX Marcel Grossman Meeting (Rome, July 2000), the TMR conference "Integrability Nonperturbative Effects And Symmetry In Quantum Field Theory" (Paris, September 2000) and the RTN conference ``The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions'' (Berlin, October 2000)

null

NORDITA-2000/125 HE, SPIN-2000/36

hep-th

null

We review recent results in the study of regular four dimensional BPS black holes in toroidally compactified type II (or M) theory. We discuss the generating solution for this kind of black holes, its microscopic description(s), and compute the corresponding microscopic entropy. These achievements, which provide a description of the fundamental degrees of freedom accounting for the entropy of any regular BPS black hole in the theory under consideration, are inscribed within a research project aimed to the study of the microscopic properties of this kind of solutions in relation to U--duality invariants computed on the corresponding macroscopic (supergravity) description.

[ { "created": "Wed, 20 Dec 2000 22:46:09 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bertolini", "M.", "" ], [ "Trigiante", "M.", "" ] ]

We review recent results in the study of regular four dimensional BPS black holes in toroidally compactified type II (or M) theory. We discuss the generating solution for this kind of black holes, its microscopic description(s), and compute the corresponding microscopic entropy. These achievements, which provide a description of the fundamental degrees of freedom accounting for the entropy of any regular BPS black hole in the theory under consideration, are inscribed within a research project aimed to the study of the microscopic properties of this kind of solutions in relation to U--duality invariants computed on the corresponding macroscopic (supergravity) description.

12.231078

11.517175

13.791629

11.527647

10.639599

11.196185

11.041021

11.287302

10.93938

13.292116

11.388302

11.692922

12.692262

11.448685

11.84586

11.38156

11.602206

11.616685

11.586051

12.416525

11.616331

0910.3225

Joan Simon

Small Black holes vs horizonless solutions in AdS

10 pages; v2 improved entropy discussion and new references included

Phys.Rev.D81:024003,2010

10.1103/PhysRevD.81.024003

null

hep-th

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

It is argued that the appropriate macroscopic description of half-BPS mesonic chiral operators in generic $d=4$ ${\cal N}=1$ toric gauge theories is in terms of the geometric quantization of smooth horizonless configurations. The relevance of different ensemble macroscopic descriptions is emphasized : lorentzian vs euclidean configurations as (semiclassical) microstates vs saddle points in an euclidean path integral.

[ { "created": "Fri, 16 Oct 2009 20:46:35 GMT", "version": "v1" }, { "created": "Fri, 20 Nov 2009 10:34:13 GMT", "version": "v2" } ]

2010-01-27

[ [ "Simon", "Joan", "" ] ]

It is argued that the appropriate macroscopic description of half-BPS mesonic chiral operators in generic $d=4$ ${\cal N}=1$ toric gauge theories is in terms of the geometric quantization of smooth horizonless configurations. The relevance of different ensemble macroscopic descriptions is emphasized : lorentzian vs euclidean configurations as (semiclassical) microstates vs saddle points in an euclidean path integral.

20.610147

16.997099

19.125666

16.63773

18.670523

17.463799

18.056541

16.474566

17.99296

22.038624

18.180159

16.941444

17.076939

16.157656

16.661663

17.081858

17.492126

17.815498

16.659302

17.925928

16.705349

1708.03048

Jason Wien

Donald Marolf and Jason Wien

The Torus Operator in Holography

42 pages, 24 figures, introduction rewritten for clarity, appendix added

null

10.1007/JHEP01(2018)105

null

hep-th gr-qc

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

We consider the non-local operator ${\mathcal T}$ defined in 2-dimensional CFTs by the path integral over a torus with two punctures. Using the AdS/CFT correspondence, we study the spectrum and ground state of this operator in holographic such CFTs in the limit of large central charge $c$. In one region of moduli space, we argue that the operator retains a finite gap and has a ground state that differs from the CFT vacuum only by order one corrections. In this region the torus operator is much like the cylinder operator. But in another region of moduli space we find a puzzle. Although our ${\mathcal T}$ is of the manifestly positive form $A^\dagger A$, studying the most tractable phases of $\text{Tr}( {\mathcal T}^n)$ suggests that ${\mathcal T}$ has negative eigenvalues. It seems clear that additional phases must become relevant at large $n$, perhaps leading to novel behavior associated with a radically different ground state or a much higher density of states. By studying the action of two such torus operators on the CFT ground state, we also provide evidence that, even at large $n$, the relevant bulk saddles have $t=0$ surfaces with small genus.

[ { "created": "Thu, 10 Aug 2017 02:00:29 GMT", "version": "v1" }, { "created": "Sun, 29 Oct 2017 20:06:43 GMT", "version": "v2" }, { "created": "Fri, 15 Dec 2017 01:27:43 GMT", "version": "v3" } ]

2018-03-14

[ [ "Marolf", "Donald", "" ], [ "Wien", "Jason", "" ] ]

We consider the non-local operator ${\mathcal T}$ defined in 2-dimensional CFTs by the path integral over a torus with two punctures. Using the AdS/CFT correspondence, we study the spectrum and ground state of this operator in holographic such CFTs in the limit of large central charge $c$. In one region of moduli space, we argue that the operator retains a finite gap and has a ground state that differs from the CFT vacuum only by order one corrections. In this region the torus operator is much like the cylinder operator. But in another region of moduli space we find a puzzle. Although our ${\mathcal T}$ is of the manifestly positive form $A^\dagger A$, studying the most tractable phases of $\text{Tr}( {\mathcal T}^n)$ suggests that ${\mathcal T}$ has negative eigenvalues. It seems clear that additional phases must become relevant at large $n$, perhaps leading to novel behavior associated with a radically different ground state or a much higher density of states. By studying the action of two such torus operators on the CFT ground state, we also provide evidence that, even at large $n$, the relevant bulk saddles have $t=0$ surfaces with small genus.

10.332887

10.977088

10.939487

10.171928

10.296803

10.785336

11.538653

10.537841

10.091622

13.157279

10.294325

9.977571

10.787839

10.183784

10.370962

10.070032

10.36363

10.178745

10.152429

10.949517

9.874023

hep-th/0001015

Alice Rogers

Canonical Quantization and Topological Theories

LaTeX, 8 pages, talk given at QG99, Third Meeting on Constrained Dynamics and Quantum Gravity, Villasimius (Sardinia, Italy) September 13-17, 1999

Nucl.Phys.Proc.Suppl. 88 (2000) 377-380

10.1016/S0920-5632(00)00806-9

KCL-MTH-99-50

hep-th

null

The canonical quantization of the topological particle is described; it is shown that BRST quantization of the model gives the supersymmetric quantum mechanical model considered by Witten when investigating Morse theory, and the rigorous path integral method appropriate for this model is discussed. Possibilities for the extension of this work to two dimensional models are briefly considered.

[ { "created": "Tue, 4 Jan 2000 16:36:29 GMT", "version": "v1" } ]

2009-10-31

[ [ "Rogers", "Alice", "" ] ]

The canonical quantization of the topological particle is described; it is shown that BRST quantization of the model gives the supersymmetric quantum mechanical model considered by Witten when investigating Morse theory, and the rigorous path integral method appropriate for this model is discussed. Possibilities for the extension of this work to two dimensional models are briefly considered.

15.872146

14.688181

17.360981

13.815887

12.634836

12.795117

13.652451

13.956939

13.627695

17.156763

14.652555

14.149741

16.735849

15.178122

14.383627

14.236396

14.389554

14.475308

14.45412

16.745403

14.151695

1111.5852

Fabian Ruehle

Michael Blaszczyk, Stefan Groot Nibbelink, Fabian Ruehle

Gauged Linear Sigma Models for toroidal orbifold resolutions

71 pages, 2 figures

JHEP 1205:053,2012

10.1007/JHEP05(2012)053

null

hep-th

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

Toroidal orbifolds and their resolutions are described within the framework of (2,2) Gauged Linear Sigma Models (GLSMs). Our procedure describes two-tori as hypersurfaces in (weighted) projective spaces. The description is chosen such that the orbifold singularities correspond to the zeros of their homogeneous coordinates. The individual orbifold singularities are resolved using a GLSM guise of non-compact toric resolutions, i.e. replacing discrete orbifold actions by Abelian worldsheet gaugings. Given that we employ the same global coordinates for both the toroidal orbifold and its resolutions, our GLSM formalism confirms the gluing procedure on the level of divisors discussed by Lust et al. Using our global GLSM description we can study the moduli space of such toroidal orbifolds as a whole. In particular, changes in topology can be described as phase transitions of the underlying GLSM. Finally, we argue that certain partially resolvable GLSMs, in which a certain number of fixed points can never be resolved, might be useful for the study of mini-landscape orbifold MSSMs.

[ { "created": "Thu, 24 Nov 2011 21:15:08 GMT", "version": "v1" } ]

2012-06-18

[ [ "Blaszczyk", "Michael", "" ], [ "Nibbelink", "Stefan Groot", "" ], [ "Ruehle", "Fabian", "" ] ]

Toroidal orbifolds and their resolutions are described within the framework of (2,2) Gauged Linear Sigma Models (GLSMs). Our procedure describes two-tori as hypersurfaces in (weighted) projective spaces. The description is chosen such that the orbifold singularities correspond to the zeros of their homogeneous coordinates. The individual orbifold singularities are resolved using a GLSM guise of non-compact toric resolutions, i.e. replacing discrete orbifold actions by Abelian worldsheet gaugings. Given that we employ the same global coordinates for both the toroidal orbifold and its resolutions, our GLSM formalism confirms the gluing procedure on the level of divisors discussed by Lust et al. Using our global GLSM description we can study the moduli space of such toroidal orbifolds as a whole. In particular, changes in topology can be described as phase transitions of the underlying GLSM. Finally, we argue that certain partially resolvable GLSMs, in which a certain number of fixed points can never be resolved, might be useful for the study of mini-landscape orbifold MSSMs.

12.314409

11.828746

13.103812

11.547832

11.977719

12.619576

12.507513

12.056593

11.573769

14.38977

11.200959

11.190837

12.005898

11.407977

12.422482

12.067369

11.712562

11.178573

11.29678

11.585105

11.463254

1409.6754

Sebastian Fischetti

Sebastian Fischetti, Donald Marolf, Aron C. Wall

A paucity of bulk entangling surfaces: AdS wormholes with de Sitter interiors

27+10 pages. v2: minor modifications to address referee comments. v3: fixed typos

Class. Quant. Grav. 32 (2015) 6, 065011

10.1088/0264-9381/32/6/065011

null

hep-th gr-qc

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

We study and construct spacetimes, dubbed planar AdS-dS-wormholes, satisfying the null energy condition and having two asymptotically AdS boundaries connected through a (non-traversable) inflating wormhole. As for other wormholes, it is natural to expect dual descriptions in terms of two disconnected CFTs in appropriate entangled states. But for our cases certain expected bulk entangling surfaces used by the Hubeny-Rangamani-Takayanagi (HRT) prescription to compute CFT entropy do not exist. In particular, no real codimension-2 extremal surface can run from one end of the wormhole to the other. According to HRT, the mutual information between any two finite-sized subregions (one in each CFT) must then vanish at leading order in large $N$ -- though the leading-order mutual information per unit area between the two CFTs taken as wholes may be nonzero. Some planar AdS-dS-wormholes also fail to have plane-symmetric surfaces that would compute the total entropy of either CFT. We suggest this to remain true of less-symmetric surfaces so that the HRT entropy is ill-defined and some modified prescription is required. It may be possible to simply extend HRT or the closely-related maximin construction by a limiting procedure, though complex extremal surfaces could also play an important role.

[ { "created": "Tue, 23 Sep 2014 20:48:57 GMT", "version": "v1" }, { "created": "Thu, 27 Aug 2015 20:58:01 GMT", "version": "v2" }, { "created": "Tue, 19 Jan 2016 14:54:16 GMT", "version": "v3" } ]

2016-01-20

[ [ "Fischetti", "Sebastian", "" ], [ "Marolf", "Donald", "" ], [ "Wall", "Aron C.", "" ] ]

We study and construct spacetimes, dubbed planar AdS-dS-wormholes, satisfying the null energy condition and having two asymptotically AdS boundaries connected through a (non-traversable) inflating wormhole. As for other wormholes, it is natural to expect dual descriptions in terms of two disconnected CFTs in appropriate entangled states. But for our cases certain expected bulk entangling surfaces used by the Hubeny-Rangamani-Takayanagi (HRT) prescription to compute CFT entropy do not exist. In particular, no real codimension-2 extremal surface can run from one end of the wormhole to the other. According to HRT, the mutual information between any two finite-sized subregions (one in each CFT) must then vanish at leading order in large $N$ -- though the leading-order mutual information per unit area between the two CFTs taken as wholes may be nonzero. Some planar AdS-dS-wormholes also fail to have plane-symmetric surfaces that would compute the total entropy of either CFT. We suggest this to remain true of less-symmetric surfaces so that the HRT entropy is ill-defined and some modified prescription is required. It may be possible to simply extend HRT or the closely-related maximin construction by a limiting procedure, though complex extremal surfaces could also play an important role.

11.535373

12.752165

13.700752

11.36494

11.836211

13.024278

13.124278

12.388962

11.944505

13.764762

11.322373

11.271778

11.747481

11.037908

11.345859

11.488499

11.401019

10.977278

11.248067

12.064029

11.128635

hep-th/0202204

Hrvoje Nikolic

H. Nikolic

The general-covariant and gauge-invariant theory of quantum particles in classical backgrounds

34 pages, revised, to appear in Int. J. Mod. Phys. D

Int.J.Mod.Phys.D12:407-444,2003

10.1142/S0218271803002779

null

hep-th gr-qc

null

A new approach to the concept of particles and their production in quantum field theory is developed. A local operator describing the current of particle density is constructed for scalar and spinor fields in arbitrary gravitational and electromagnetic backgrounds. This enables one to describe particles in a local, general-covariant and gauge-invariant way. However, the current depends on the choice of a 2-point function. There is a choice that leads to the local non-conservation of the current in a gravitational or an electromagnetic background, which describes local particle production consistent with the usual global description based on the Bogoliubov transformation. The most natural choice based on the Green function calculated using the Schwinger-DeWitt method leads to the local conservation of the current, provided that interactions with quantum fields are absent. Interactions with quantum fields lead to the local non-conservation of the current which describes local particle production consistent with the usual global description based on the interaction picture.

[ { "created": "Thu, 28 Feb 2002 13:53:37 GMT", "version": "v1" }, { "created": "Tue, 15 Oct 2002 09:11:47 GMT", "version": "v2" } ]

2014-11-18

[ [ "Nikolic", "H.", "" ] ]

A new approach to the concept of particles and their production in quantum field theory is developed. A local operator describing the current of particle density is constructed for scalar and spinor fields in arbitrary gravitational and electromagnetic backgrounds. This enables one to describe particles in a local, general-covariant and gauge-invariant way. However, the current depends on the choice of a 2-point function. There is a choice that leads to the local non-conservation of the current in a gravitational or an electromagnetic background, which describes local particle production consistent with the usual global description based on the Bogoliubov transformation. The most natural choice based on the Green function calculated using the Schwinger-DeWitt method leads to the local conservation of the current, provided that interactions with quantum fields are absent. Interactions with quantum fields lead to the local non-conservation of the current which describes local particle production consistent with the usual global description based on the interaction picture.

7.106788

7.766936

7.407395

6.790151

7.277844

7.1968

7.547246

6.86553

7.032808

7.926939

7.001492

7.00084

7.041256

7.058293

6.953943

7.304325

7.073993

6.868908

6.942891

7.095934

7.010652

2208.05700

Peter M. Lavrov

P.M. Lavrov

On interactions of massless spin 3 and scalar fields

11 pages, v2: ref added, minor corrections, v3: typos corrected, section Discussion extended, published version, v4:in Section 4 and Discussion correction of conclusions about cubic vertices made

Eur. Phys. J. C (2022) 82:1059

10.1140/epjc/s10052-022-11038-w

null

hep-th math-ph math.MP

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

Using new approach for the deformation procedure in the case of reducible gauge theories (Lavrov in Eur. Phys. J. C 82:429, 2022), it is shown that in the model of massless spin 3 field and a real scalar field local cubic and quartic vertices invariant under original gauge transformations can be explicitly constructed.

[ { "created": "Thu, 11 Aug 2022 08:52:08 GMT", "version": "v1" }, { "created": "Thu, 18 Aug 2022 05:26:49 GMT", "version": "v2" }, { "created": "Fri, 30 Sep 2022 11:20:20 GMT", "version": "v3" }, { "created": "Thu, 24 Nov 2022 02:56:56 GMT", "version": "v4" }, { "created": "Thu, 27 Apr 2023 10:08:27 GMT", "version": "v5" } ]

2023-04-28

[ [ "Lavrov", "P. M.", "" ] ]

Using new approach for the deformation procedure in the case of reducible gauge theories (Lavrov in Eur. Phys. J. C 82:429, 2022), it is shown that in the model of massless spin 3 field and a real scalar field local cubic and quartic vertices invariant under original gauge transformations can be explicitly constructed.

18.813818

13.441805

15.065152

12.033585

11.852411

13.23551

12.57873

12.055328

12.488592

21.07432

12.704903

13.400064

13.950381

13.053188

12.694377

12.476886

12.47841

12.42972

13.131183

14.629707

13.366321

1610.05886

Shu Lin

Er-dong Guo and Shu Lin

Quark Mass Correction to Chiral Separation Effect and Pseudoscalar Condensate

23 pages, 5 figures. additional normalizable modes included, published version

null

10.1007/JHEP01(2017)111

null

hep-th hep-ph nucl-th

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

We derived an analytic structure of the quark mass correction to chiral separation effect (CSE) in small mass regime. We confirmed this structure by a D3/D7 holographic model study in a finite density, finite magnetic field background. The quark mass correction to CSE can be related to correlators of pseudo-scalar condensate, quark number density and quark condensate in static limit. We found scaling relations of these correlators with spatial momentum in the small momentum regime. They characterize medium responses to electric field, inhomogeneous quark mass and chiral shift. Beyond the small momentum regime, we found existence of normalizable mode, which possibly leads to formation of spiral phase. The normalizable mode exists beyond a critical magnetic field, whose magnitude decreases with quark chemical potential.

[ { "created": "Wed, 19 Oct 2016 07:10:48 GMT", "version": "v1" }, { "created": "Fri, 17 Nov 2017 00:44:53 GMT", "version": "v2" } ]

2017-11-20

[ [ "Guo", "Er-dong", "" ], [ "Lin", "Shu", "" ] ]

We derived an analytic structure of the quark mass correction to chiral separation effect (CSE) in small mass regime. We confirmed this structure by a D3/D7 holographic model study in a finite density, finite magnetic field background. The quark mass correction to CSE can be related to correlators of pseudo-scalar condensate, quark number density and quark condensate in static limit. We found scaling relations of these correlators with spatial momentum in the small momentum regime. They characterize medium responses to electric field, inhomogeneous quark mass and chiral shift. Beyond the small momentum regime, we found existence of normalizable mode, which possibly leads to formation of spiral phase. The normalizable mode exists beyond a critical magnetic field, whose magnitude decreases with quark chemical potential.

10.16776

12.555738

11.138221

10.72537

10.595739

11.386793

11.126012

11.631305

11.414847

12.057709

10.411145

10.499382

10.410719

10.168863

10.439547

10.315897

10.399377

10.517148

10.262301

10.382701

10.165261

1510.08486

Slava Rychkov

Slava Rychkov, Pierre Yvernay

Remarks on the Convergence Properties of the Conformal Block Expansion

12pp

null

10.1016/j.physletb.2016.01.004

CERN PH-TH/2015-253

hep-th

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

We show how to refine conformal block expansion convergence estimates from hep-th/1208.6449. In doing so we find a novel explicit formula for the 3d conformal blocks on the real axis.

[ { "created": "Wed, 28 Oct 2015 21:01:24 GMT", "version": "v1" } ]

2016-02-17

[ [ "Rychkov", "Slava", "" ], [ "Yvernay", "Pierre", "" ] ]

We show how to refine conformal block expansion convergence estimates from hep-th/1208.6449. In doing so we find a novel explicit formula for the 3d conformal blocks on the real axis.

19.372112

27.918264

23.824299

21.674936

29.049095

28.365046

24.580259

24.728172

22.589394

24.970587

20.562042

20.606842

22.823303

18.558165

19.993879

22.22636

18.945967

21.8696

19.420174

20.485527

19.788855

2001.07117

Subham Dutta Chowdhury

Soumangsu Chakraborty, Subham Dutta Chowdhury, Tushar Gopalka, Suman Kundu, Shiraz Minwalla, Amiya Mishra

Classification of all 3 particle S-matrices quadratic in photons or gravitons

added references

null

10.1007/JHEP04(2020)110

null

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

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

We explicitly construct every kinematically allowed three particle graviton-graviton-$P$ and photon-photon-$P$ S-matrix in every dimension and for every choice of the little group representation of the massive particle $P$. We also explicitly construct the spacetime Lagrangian that generates each of these couplings. In the case of gravitons we demonstrate that this Lagrangian always involves (derivatives of) two factors of the Riemann tensor, and so is always of fourth or higher order in derivatives. This result verifies one of the assumptions made in the recent preprint \cite{Chowdhury:2019kaq} while attempting to establish the rigidity of the Einstein tree level S-matrix within the space of local classical theories coupled to a collection of particles of bounded spin.

[ { "created": "Mon, 20 Jan 2020 14:23:47 GMT", "version": "v1" }, { "created": "Fri, 28 Feb 2020 09:46:30 GMT", "version": "v2" } ]

2020-05-20

[ [ "Chakraborty", "Soumangsu", "" ], [ "Chowdhury", "Subham Dutta", "" ], [ "Gopalka", "Tushar", "" ], [ "Kundu", "Suman", "" ], [ "Minwalla", "Shiraz", "" ], [ "Mishra", "Amiya", "" ] ]

We explicitly construct every kinematically allowed three particle graviton-graviton-$P$ and photon-photon-$P$ S-matrix in every dimension and for every choice of the little group representation of the massive particle $P$. We also explicitly construct the spacetime Lagrangian that generates each of these couplings. In the case of gravitons we demonstrate that this Lagrangian always involves (derivatives of) two factors of the Riemann tensor, and so is always of fourth or higher order in derivatives. This result verifies one of the assumptions made in the recent preprint \cite{Chowdhury:2019kaq} while attempting to establish the rigidity of the Einstein tree level S-matrix within the space of local classical theories coupled to a collection of particles of bounded spin.

10.267456

10.004748

10.435286

9.418861

10.550076

10.368064

9.412518

9.852256

9.402753

11.181212

9.541285

9.540752

10.351442

9.537059

9.794642

9.559234

9.440966

9.382355

9.556535

10.687651

9.629959

1210.4238

Masato Nozawa

Hideo Kodama and Masato Nozawa

Classification and stability of vacua in maximal gauged supergravity

26 pages, 2 tables; v2: improved arguments on vacuum classification, typos corrected; v3: final version to appear in JHEP

null

10.1007/JHEP01(2013)045

KEK-TH-1582; KEK-Cosmo-105

hep-th gr-qc

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

This article presents a systematic study of critical points for the SL(8, R)-type gauging in four dimensional maximal gauged supergravity. We determine all the possible vacua for which the origin of the moduli space becomes a critical point. We formulate a new tool which enables us to find analytically the mass spectrum of the corresponding vacua in terms of eigenvalues of the embedding tensor. When the cosmological constant is nonvanishing, it turns out that many vacua obtained by the dyonic embedding admit a single deformation parameter of the theory, in agreement with the results of the recent paper by Dall'Agata, Inverso and Trigiante [arXiv:1209.0760]. Nevertheless, it is shown that the resulting mass spectrum is independent of the deformation parameter and can be classified according to the unbroken gauge symmetry at the vacua, rather than the underlying gauging. We also show that the generic Minkowski vacua exhibit instability.

[ { "created": "Tue, 16 Oct 2012 03:13:29 GMT", "version": "v1" }, { "created": "Mon, 29 Oct 2012 02:21:28 GMT", "version": "v2" }, { "created": "Mon, 7 Jan 2013 05:17:55 GMT", "version": "v3" } ]

2015-06-11

[ [ "Kodama", "Hideo", "" ], [ "Nozawa", "Masato", "" ] ]

This article presents a systematic study of critical points for the SL(8, R)-type gauging in four dimensional maximal gauged supergravity. We determine all the possible vacua for which the origin of the moduli space becomes a critical point. We formulate a new tool which enables us to find analytically the mass spectrum of the corresponding vacua in terms of eigenvalues of the embedding tensor. When the cosmological constant is nonvanishing, it turns out that many vacua obtained by the dyonic embedding admit a single deformation parameter of the theory, in agreement with the results of the recent paper by Dall'Agata, Inverso and Trigiante [arXiv:1209.0760]. Nevertheless, it is shown that the resulting mass spectrum is independent of the deformation parameter and can be classified according to the unbroken gauge symmetry at the vacua, rather than the underlying gauging. We also show that the generic Minkowski vacua exhibit instability.

8.059524

8.873146

10.014895

8.352302

8.776226

9.008883

9.08901

8.297984

8.821187

10.343296

8.520382

8.417344

8.228027

8.048463

8.203996

8.263816

8.172277

8.133564

8.147774

8.448185

8.334262

hep-th/0506054

Ichiro Oda

Ichiro Oda, Mario Tonin

Worldline Approach of Topological BF Theory

12 pages, no figures, references added

Phys.Lett. B623 (2005) 155-164

10.1016/j.physletb.2005.07.037

EDO-EP-50, DFPD 05/TH/17

hep-th

null

We present a worldline description of topological non-abelian BF theory in arbitrary space-time dimensions. It is shown that starting with a trivial classical action defined on the worldline, the BRST cohomology has a natural representation as the sum of the de Rham cohomology. Based on this observation, we construct a second-quantized action of the BF theory. Interestingly enough, this theory naturally gives us a minimal solution to the Batalin-Vilkovisky master equation of the BF theory. Our formalism sheds some light not only on an interplay between the Witten-type and the Schwarz-type topological quantum field theories but also on the role of the Batalin-Vilkovisky antifields and ghosts as geometrical and elementary objects.

[ { "created": "Tue, 7 Jun 2005 08:03:24 GMT", "version": "v1" }, { "created": "Tue, 14 Jun 2005 10:22:26 GMT", "version": "v2" } ]

2010-04-05

[ [ "Oda", "Ichiro", "" ], [ "Tonin", "Mario", "" ] ]

We present a worldline description of topological non-abelian BF theory in arbitrary space-time dimensions. It is shown that starting with a trivial classical action defined on the worldline, the BRST cohomology has a natural representation as the sum of the de Rham cohomology. Based on this observation, we construct a second-quantized action of the BF theory. Interestingly enough, this theory naturally gives us a minimal solution to the Batalin-Vilkovisky master equation of the BF theory. Our formalism sheds some light not only on an interplay between the Witten-type and the Schwarz-type topological quantum field theories but also on the role of the Batalin-Vilkovisky antifields and ghosts as geometrical and elementary objects.

8.941916

8.802686

9.760891

7.925461

8.094954

8.304564

8.53616

8.156091

8.239773

10.348454

7.904526

8.684756

8.908167

8.161313

8.296108

8.42163

8.199563

8.451401

8.197097

8.802862

8.364899

1601.06851

Yu Nakayama

Bootstrapping critical Ising model on three-dimensional real projective space

5 pages with appendix, v2: published version with updates

Phys. Rev. Lett. 116, 141602 (2016)

10.1103/PhysRevLett.116.141602

IPMU16-0008

hep-th cond-mat.stat-mech

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

Given a conformal data on a flat Euclidean space, we use crosscap conformal bootstrap equations to numerically solve the Lee-Yang model as well as the critical Ising model on a three-dimensional real projective space. We check the rapid convergence of our bootstrap program in two-dimensions from the exact solutions available. Based on the comparison, we estimate that our systematic error on the numerically solved one-point functions of the critical Ising model on a three-dimensional real projective space is less than one percent. Our method opens up a novel way to solve conformal field theories on non-trivial geometries.

[ { "created": "Mon, 25 Jan 2016 23:55:32 GMT", "version": "v1" }, { "created": "Tue, 19 Apr 2016 01:58:05 GMT", "version": "v2" } ]

2016-04-20

[ [ "Nakayama", "Yu", "" ] ]

Given a conformal data on a flat Euclidean space, we use crosscap conformal bootstrap equations to numerically solve the Lee-Yang model as well as the critical Ising model on a three-dimensional real projective space. We check the rapid convergence of our bootstrap program in two-dimensions from the exact solutions available. Based on the comparison, we estimate that our systematic error on the numerically solved one-point functions of the critical Ising model on a three-dimensional real projective space is less than one percent. Our method opens up a novel way to solve conformal field theories on non-trivial geometries.

9.146725

9.6114

11.8001

8.865164

9.255293

9.694579

8.878351

8.943106

8.847057

13.201103

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8.893787

8.952288

8.915413

9.068795

8.814602

8.622035

8.597497

8.856048

9.544488

8.580419

0808.1583

Paul K. Townsend

Igor A. Bandos and Paul K. Townsend

SDiff Gauge Theory and the M2 Condensate

38 pp. Minor revision of version 2

JHEP 0902:013,2009

10.1088/1126-6708/2009/02/013

DAMTP=2008-65

hep-th

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

We develop a general formalism for the construction, in $D$-dimensional Minkowski space, of gauge theories for which the gauge group is the infinite-dimensional group SDiff$_n$ of volume-preserving diffeomorphisms of some closed $n$-dimensional manifold. We then focus on the D=3 SDiff$_3$ superconformal gauge theory describing a condensate of M2-branes; in particular, we derive its ${\cal N}=8$ superfield equations from a pure-spinor superspace action, and we describe its relationship to the D=3 SDiff$_2$ super-Yang-Mills theory describing a condensate of D2-branes.

[ { "created": "Mon, 11 Aug 2008 21:02:11 GMT", "version": "v1" }, { "created": "Wed, 3 Dec 2008 18:57:41 GMT", "version": "v2" }, { "created": "Sun, 18 Jan 2009 10:21:38 GMT", "version": "v3" } ]

2009-02-09

[ [ "Bandos", "Igor A.", "" ], [ "Townsend", "Paul K.", "" ] ]

We develop a general formalism for the construction, in $D$-dimensional Minkowski space, of gauge theories for which the gauge group is the infinite-dimensional group SDiff$_n$ of volume-preserving diffeomorphisms of some closed $n$-dimensional manifold. We then focus on the D=3 SDiff$_3$ superconformal gauge theory describing a condensate of M2-branes; in particular, we derive its ${\cal N}=8$ superfield equations from a pure-spinor superspace action, and we describe its relationship to the D=3 SDiff$_2$ super-Yang-Mills theory describing a condensate of D2-branes.

5.504058

5.390814

5.819268

4.970437

5.370853

4.972049

5.62949

5.216999

5.009133

6.262764

5.10985

5.185267

5.494746

5.320563

5.195876

5.224463

5.126837

5.225053

5.088523

5.669111

5.191711

2205.10326

Vincent Rivasseau

Mohamed Ouerfelli, Vincent Rivasseau and Mohamed Tamaazousti

The Tensor Track VII: From Quantum Gravity to Artificial Intelligence

23 pages, 7 figures, 1 table

null

hep-th cs.NA math-ph math.MP math.NA

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

Assuming some familiarity with quantum field theory and with the tensor track approach that one of us presented in the previous series Tensor Track I to VI, we provide, as usual, the developments in quantum gravity of the last two years. Next we present in some detail two algorithms inspired by Random Tensor Theory which has been developed in the quantum gravity context. One is devoted to the detection and recovery of a signal in a random tensor, that can be associated to the noise, with new theoretical guarantees for more general cases such as tensors with different dimensions. The other, SMPI, is more ambitious but maybe less rigorous. It is devoted to significantly and fundamentally improve the performance of algorithms for Tensor principal component analysis but without complete theoretical guarantees yet. Then we sketch all sorts of application relevant to information theory and artificial intelligence and provide their corresponding bibliography.

[ { "created": "Sat, 30 Apr 2022 20:18:26 GMT", "version": "v1" } ]

2023-01-06

[ [ "Ouerfelli", "Mohamed", "" ], [ "Rivasseau", "Vincent", "" ], [ "Tamaazousti", "Mohamed", "" ] ]

Assuming some familiarity with quantum field theory and with the tensor track approach that one of us presented in the previous series Tensor Track I to VI, we provide, as usual, the developments in quantum gravity of the last two years. Next we present in some detail two algorithms inspired by Random Tensor Theory which has been developed in the quantum gravity context. One is devoted to the detection and recovery of a signal in a random tensor, that can be associated to the noise, with new theoretical guarantees for more general cases such as tensors with different dimensions. The other, SMPI, is more ambitious but maybe less rigorous. It is devoted to significantly and fundamentally improve the performance of algorithms for Tensor principal component analysis but without complete theoretical guarantees yet. Then we sketch all sorts of application relevant to information theory and artificial intelligence and provide their corresponding bibliography.

29.919037

37.652233

35.073704

29.326433

34.826218

34.727318

31.420496

30.537649

31.202959

37.631752

30.473864

31.085674

31.806526

30.71879

30.912951

30.012379

31.962229

30.361774

32.575783

32.188015

29.301022

hep-th/9603082

Per Stjernberg

Ulf H. Danielsson and P\"ar Stjernberg (Uppsala University)

Notes on Equivalences and Higgs Branches in N=2 Supersymmetric Yang-Mills Theory

11 pages, Latex

Phys.Lett. B380 (1996) 68-74

10.1016/0370-2693(96)00431-5

UUITP-4/96

hep-th

null

In this paper we investigate how various equivalences between effective field theories of $N=2$ SUSY Yang-Mills theory with matter can be understood through Higgs breaking, i.e. by giving expectation values to squarks. We give explicit expressions for the flat directions for a wide class of examples.

[ { "created": "Wed, 13 Mar 1996 15:56:03 GMT", "version": "v1" } ]

2016-08-15

[ [ "Danielsson", "Ulf H.", "", "Uppsala University" ], [ "Stjernberg", "Pär", "", "Uppsala University" ] ]

In this paper we investigate how various equivalences between effective field theories of $N=2$ SUSY Yang-Mills theory with matter can be understood through Higgs breaking, i.e. by giving expectation values to squarks. We give explicit expressions for the flat directions for a wide class of examples.

15.045065

10.559325

11.531404

11.781447

11.9144

11.351885

10.580851

11.154016

11.020629

14.110834

11.555728

11.548611

12.044179

10.72689

11.049079

11.806899

10.918864

11.133439

10.959637

12.033728

11.109358

2212.07344

Xing-Yue Wei

Sung-Soo Kim, Yuji Sugimoto, Xing-Yue Wei, Futoshi Yagi

$DE$-type little strings from glued brane webs

v2: 97 pages, 32 figures, typos corrected and clarifications added

JHEP05(2023)214

10.1007/JHEP05(2023)214

null

hep-th

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

We propose brane web configurations for $D$-type and $E$-type $\mathcal{N}=(1,0)$ little string theories based on a trivalent or quadrivalent gluing of 5-brane web diagrams. Tri-/quadri-valent gluing is a powerful way of computing 5d/6d partition functions for supersymmetric gauge theories based on the topological vertex. We generalize the gluing techniques to little string theories by introducing a new compact direction and compute their supersymmetric partition functions on Omega-deformed $\mathbb{R}^4\times T^2$. As concrete examples, we consider little string theories arising from Type IIB NS5-branes probing $D_4$ or $D_5$ singularity. Their effective gauge theory descriptions as the affine $D_4$ or $D_5$ quiver gauge theory can be realized with quadrivalent or trivalent gluing, respectively. Based on these gluings of 5-brane webs, we compute their refined partition functions and compare them with the known results. We extend the computation of the partition function to little string theory engineered from IIB NS5-branes probing $E_6$ singularity based on a trivalent gluing. We also discuss the generalization to higher rank cases and the symmetries of the partition functions.

[ { "created": "Wed, 14 Dec 2022 17:13:32 GMT", "version": "v1" }, { "created": "Mon, 29 May 2023 13:33:19 GMT", "version": "v2" } ]

2023-05-30

[ [ "Kim", "Sung-Soo", "" ], [ "Sugimoto", "Yuji", "" ], [ "Wei", "Xing-Yue", "" ], [ "Yagi", "Futoshi", "" ] ]

We propose brane web configurations for $D$-type and $E$-type $\mathcal{N}=(1,0)$ little string theories based on a trivalent or quadrivalent gluing of 5-brane web diagrams. Tri-/quadri-valent gluing is a powerful way of computing 5d/6d partition functions for supersymmetric gauge theories based on the topological vertex. We generalize the gluing techniques to little string theories by introducing a new compact direction and compute their supersymmetric partition functions on Omega-deformed $\mathbb{R}^4\times T^2$. As concrete examples, we consider little string theories arising from Type IIB NS5-branes probing $D_4$ or $D_5$ singularity. Their effective gauge theory descriptions as the affine $D_4$ or $D_5$ quiver gauge theory can be realized with quadrivalent or trivalent gluing, respectively. Based on these gluings of 5-brane webs, we compute their refined partition functions and compare them with the known results. We extend the computation of the partition function to little string theory engineered from IIB NS5-branes probing $E_6$ singularity based on a trivalent gluing. We also discuss the generalization to higher rank cases and the symmetries of the partition functions.

6.425642

5.956986

7.303125

5.826695

6.166669

6.010659

5.998451

5.517612

5.728878

7.282967

5.755684

5.861284

6.653134

5.989074

5.913435

6.065351

5.994104

5.915803

6.016622

6.678387

6.154442

1012.4972

Ta-Sheng Tai

Seiberg-Witten prepotential from WZNW conformal block: Langlands duality and Selberg trace formula

8 pages

Mod.Phys.Lett.A27:1250129,2012

10.1142/S0217732312501295

null

hep-th

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

We show how SU(2) $N_f=4$ Seiberg-Witten prepotentials are derived form $\hat{\mathfrak{sl}}_{2,k}$ ($k\to2$) four-point conformal blocks via considering Langlands duality.

[ { "created": "Wed, 22 Dec 2010 13:43:21 GMT", "version": "v1" } ]

2012-08-06

[ [ "Tai", "Ta-Sheng", "" ] ]

We show how SU(2) $N_f=4$ Seiberg-Witten prepotentials are derived form $\hat{\mathfrak{sl}}_{2,k}$ ($k\to2$) four-point conformal blocks via considering Langlands duality.

13.960028

11.15101

18.31851

11.229276

12.810424

12.71121

12.833077

11.430937

10.990438

19.799652

11.396999

11.513443

13.688867

11.966302

11.683494

12.215446

11.618468

10.834142

11.511623

13.698697

11.603326

1705.00292

Pablo Bueno

Nikolay Bobev, Pablo Bueno and Yannick Vreys

Comments on Squashed-sphere Partition Functions

40 pages, 7 figures, 1 table; v2: additional comments and clarifications added, updated bibliography

JHEP 1707 (2017) 093

10.1007/JHEP07(2017)093

null

hep-th gr-qc

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

We study the partition function of odd-dimensional conformal field theories placed on spheres with a squashed metric. We establish that the round sphere provides a local extremum for the free energy which, in general, is not a global extremum. In addition, we show that the leading quadratic correction to the free energy around this extremum is proportional to the coefficient, $C_T$, determining the two-point function of the energy-momentum tensor in the CFT. For three-dimensional CFTs, we compute explicitly this proportionality constant for a class of squashing deformations which preserve an $SU(2)\times U(1)$ isometry group on the sphere. In addition, we evaluate the free energy as a function of the squashing parameter for theories of free bosons, free fermions, as well as CFTs holographically dual to Einstein gravity with a negative cosmological constant. We observe that, after suitable normalization, the dependence of the free energy on the squashing parameter for all these theories is nearly universal for a large region of parameter space and is well approximated by a simple quadratic function arising from holography. We generalize our results to five-dimensional CFTs and, in this context, we also study theories holographically dual to six-dimensional Gauss-Bonnet gravity.

[ { "created": "Sun, 30 Apr 2017 09:46:45 GMT", "version": "v1" }, { "created": "Wed, 17 May 2017 07:43:41 GMT", "version": "v2" } ]

2017-07-21

[ [ "Bobev", "Nikolay", "" ], [ "Bueno", "Pablo", "" ], [ "Vreys", "Yannick", "" ] ]

We study the partition function of odd-dimensional conformal field theories placed on spheres with a squashed metric. We establish that the round sphere provides a local extremum for the free energy which, in general, is not a global extremum. In addition, we show that the leading quadratic correction to the free energy around this extremum is proportional to the coefficient, $C_T$, determining the two-point function of the energy-momentum tensor in the CFT. For three-dimensional CFTs, we compute explicitly this proportionality constant for a class of squashing deformations which preserve an $SU(2)\times U(1)$ isometry group on the sphere. In addition, we evaluate the free energy as a function of the squashing parameter for theories of free bosons, free fermions, as well as CFTs holographically dual to Einstein gravity with a negative cosmological constant. We observe that, after suitable normalization, the dependence of the free energy on the squashing parameter for all these theories is nearly universal for a large region of parameter space and is well approximated by a simple quadratic function arising from holography. We generalize our results to five-dimensional CFTs and, in this context, we also study theories holographically dual to six-dimensional Gauss-Bonnet gravity.

5.047489

5.189708

5.273669

4.897887

5.120188

5.04158

4.734159

4.776612

4.91707

5.79653

4.776898

4.813129

5.119719

4.87102

4.941733

4.972114

4.931442

4.815354

4.826552

5.086741

4.849026

hep-th/0304186

Jelper Striet

F.A.Bais and J.Striet

Charge instabilities due to local charge conjugation symmetry in (2+1)-dimensions

Latex, 26 pages, 12 figures

Nucl.Phys. B666 (2003) 243-268

10.1016/S0550-3213(03)00497-8

ITFA-2003-20

hep-th hep-ph

null

Alice electrodynamics (AED) is a theory of electrodynamics in which charge conjugation is a local gauge symmetry. In this paper we investigate a charge instability in alice electrodynamics in (2+1)-dimensions due to this local charge conjugation. The instability manifests itself through the creation of a pair of alice fluxes. The final state is one in which the charge is completely delocalized, i.e., it is carried as cheshire charge by the flux pair that gets infinitely separated. We determine the decay rate in terms of the parameters of the model. The relation of this phenomenon with other salient features of 2-dimensional compact QED, such as linear confinement due to instantons/monopoles, is discussed.

[ { "created": "Tue, 22 Apr 2003 10:02:16 GMT", "version": "v1" }, { "created": "Tue, 10 Jun 2003 07:52:24 GMT", "version": "v2" } ]

2009-11-10

[ [ "Bais", "F. A.", "" ], [ "Striet", "J.", "" ] ]

Alice electrodynamics (AED) is a theory of electrodynamics in which charge conjugation is a local gauge symmetry. In this paper we investigate a charge instability in alice electrodynamics in (2+1)-dimensions due to this local charge conjugation. The instability manifests itself through the creation of a pair of alice fluxes. The final state is one in which the charge is completely delocalized, i.e., it is carried as cheshire charge by the flux pair that gets infinitely separated. We determine the decay rate in terms of the parameters of the model. The relation of this phenomenon with other salient features of 2-dimensional compact QED, such as linear confinement due to instantons/monopoles, is discussed.

11.613898

11.069416

11.525135

10.402565

11.85777

10.451991

10.949968

10.884591

10.568423

13.704081

11.835242

10.317952

10.230491

9.953911

10.551152

10.123835

10.20056

10.321108

10.230009

10.94151

11.435298

1602.00607

Merab Gogberashvili Prof

Merab Gogberashvili, Irakli Mantidze, Otari Sakhelashvili and Tsotne Shengelia

Standing Waves Braneworlds

Journal version of the review paper, 39 pages, 15 figures

Int. J. Mod. Phys., D 25 (2016) 1630019

10.1142/S0218271816300196

null

hep-th gr-qc

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

The class of non-stationary braneworld models generated by the coupled gravitational and scalar fields is reviewed. The model represents a brane in a space-time with single time and one large (infinite) and several small (compact) space-like extra dimensions. In some particular cases the model has the solutions corresponding to the bulk gravi-scalar standing waves bounded by the brane. Pure gravitational localization mechanism of matter particles on the node of standing waves, where the brane is placed, is discussed. Cosmological applications of the model also considered.

[ { "created": "Fri, 29 Jan 2016 08:47:59 GMT", "version": "v1" }, { "created": "Wed, 18 May 2016 06:24:40 GMT", "version": "v2" } ]

2016-05-19

[ [ "Gogberashvili", "Merab", "" ], [ "Mantidze", "Irakli", "" ], [ "Sakhelashvili", "Otari", "" ], [ "Shengelia", "Tsotne", "" ] ]

The class of non-stationary braneworld models generated by the coupled gravitational and scalar fields is reviewed. The model represents a brane in a space-time with single time and one large (infinite) and several small (compact) space-like extra dimensions. In some particular cases the model has the solutions corresponding to the bulk gravi-scalar standing waves bounded by the brane. Pure gravitational localization mechanism of matter particles on the node of standing waves, where the brane is placed, is discussed. Cosmological applications of the model also considered.

14.164404

14.421535

11.635642

12.187151

13.407171

13.169657

13.360795

12.77141

12.992854

15.411547

13.47357

14.07473

13.577101

13.142259

12.975051

12.934611

13.881535

13.173642

13.828042

13.194303

13.461769

2212.14702

Hugo Camargo

Hugo A. Camargo, Viktor Jahnke, Keun-Young Kim, Mitsuhiro Nishida

Krylov Complexity in Free and Interacting Scalar Field Theories with Bounded Power Spectrum

V4: Added a clarification about the numerical fitting of the growth rate of the Lanczos coefficients in Sec. 3.2. (See Eqs. 3.25-3.27 and above paragraphs)

null

10.1007/JHEP05(2023)226

null

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

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

We study a notion of operator growth known as Krylov complexity in free and interacting massive scalar quantum field theories in $d$-dimensions at finite temperature. We consider the effects of mass, one-loop self-energy due to perturbative interactions, and finite ultraviolet cutoffs in continuous momentum space. These deformations change the behavior of Lanczos coefficients and Krylov complexity and induce effects such as the "staggering" of the former into two families, a decrease in the exponential growth rate of the latter, and transitions in their asymptotic behavior. We also discuss the relation between the existence of a mass gap and the property of staggering, and the relation between our ultraviolet cutoffs in continuous theories and lattice theories.

[ { "created": "Fri, 30 Dec 2022 13:45:42 GMT", "version": "v1" }, { "created": "Wed, 25 Jan 2023 08:19:23 GMT", "version": "v2" }, { "created": "Thu, 18 May 2023 02:23:28 GMT", "version": "v3" }, { "created": "Mon, 1 Apr 2024 01:24:55 GMT", "version": "v4" } ]

2024-04-02

[ [ "Camargo", "Hugo A.", "" ], [ "Jahnke", "Viktor", "" ], [ "Kim", "Keun-Young", "" ], [ "Nishida", "Mitsuhiro", "" ] ]

We study a notion of operator growth known as Krylov complexity in free and interacting massive scalar quantum field theories in $d$-dimensions at finite temperature. We consider the effects of mass, one-loop self-energy due to perturbative interactions, and finite ultraviolet cutoffs in continuous momentum space. These deformations change the behavior of Lanczos coefficients and Krylov complexity and induce effects such as the "staggering" of the former into two families, a decrease in the exponential growth rate of the latter, and transitions in their asymptotic behavior. We also discuss the relation between the existence of a mass gap and the property of staggering, and the relation between our ultraviolet cutoffs in continuous theories and lattice theories.

13.124267

12.298895

16.051065

10.963137

11.952801

11.033148

12.175307

12.093158

11.494291

13.751418

10.561317

11.145414

12.835376

11.723834

11.366078

11.706863

11.564341

11.543496

11.418712

12.695213

11.339787

0812.3507

Chang-Young Ee

Ee Chang-Young, Daeho Lee, Youngone Lee

Coordinate Dependence of Chern-Simons Theory on Noncommutative AdS3

LaTeX 24 pages, action added, minor corrections

null

hep-th

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

We investigate the coordinate dependence of noncommutative theory by studying the solutions of noncommutative $U(1,1)\times U(1,1)$ Chern-Simons theory on $AdS_3$ in the polar and rectangular coordinates. We assume that only the space coordinates are noncommuting. The two coordinate systems are equivalent only up to first order in the noncommutativity parameter $\theta$. We investigate the effect of this non-exact equivalence between the two coordinate systems in two cases, a conical solution and a BTZ black hole solution, using the Seiberg-Witten map. In each case, the noncommutative solutions in the two coordinate systems obtained from the corresponding same commutative solution turn out to be different even in the first order in $\theta$.

[ { "created": "Thu, 18 Dec 2008 11:03:35 GMT", "version": "v1" }, { "created": "Fri, 19 Dec 2008 02:48:15 GMT", "version": "v2" }, { "created": "Sun, 4 Jan 2009 04:18:55 GMT", "version": "v3" }, { "created": "Fri, 6 Mar 2009 06:27:53 GMT", "version": "v4" } ]

2009-03-06

[ [ "Chang-Young", "Ee", "" ], [ "Lee", "Daeho", "" ], [ "Lee", "Youngone", "" ] ]

We investigate the coordinate dependence of noncommutative theory by studying the solutions of noncommutative $U(1,1)\times U(1,1)$ Chern-Simons theory on $AdS_3$ in the polar and rectangular coordinates. We assume that only the space coordinates are noncommuting. The two coordinate systems are equivalent only up to first order in the noncommutativity parameter $\theta$. We investigate the effect of this non-exact equivalence between the two coordinate systems in two cases, a conical solution and a BTZ black hole solution, using the Seiberg-Witten map. In each case, the noncommutative solutions in the two coordinate systems obtained from the corresponding same commutative solution turn out to be different even in the first order in $\theta$.

5.887105

5.776459

6.147055

5.535568

5.841704

6.421482

5.972729

5.539576

5.619748

6.187704

5.774653

5.66647

5.978071

5.730058

5.751721

5.87239

5.760582

5.736397

5.788503

5.923298

5.740542

hep-th/0309061

V. Parameswaran Nair

V.P. Nair

Yang-Mills theory, 2+1 and 3+1 dimensions

11 pages, LaTeX, Talk at "Space-time and Fundamental Interactions: Quantum Aspects", conference in honor of A.P. Balachandran's 65th birthday, Italy, May 2003; to be published in Mod. Phys. Lett

null

10.1142/S0217732303012647

CCNY-HEP 03/6

hep-th

null

I review the analysis of (2+1)-dimensional Yang-Mills ($YM_{2+1})$ theory via the use of gauge-invariant matrix variables. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for $YM_{3+1}$ at nonzero temperature and the extension of our analysis to the Yang-Mills-Chern-Simons theory are discussed. A possible extension to 3+1 dimensions is also briefly considered.

[ { "created": "Fri, 5 Sep 2003 03:51:29 GMT", "version": "v1" } ]

2009-11-10

[ [ "Nair", "V. P.", "" ] ]

I review the analysis of (2+1)-dimensional Yang-Mills ($YM_{2+1})$ theory via the use of gauge-invariant matrix variables. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for $YM_{3+1}$ at nonzero temperature and the extension of our analysis to the Yang-Mills-Chern-Simons theory are discussed. A possible extension to 3+1 dimensions is also briefly considered.

9.192968

7.267259

9.2645

7.154668

7.630737

7.054593

7.429385

7.300783

7.068749

8.643214

7.375867

7.484872

8.624934

7.892118

8.060737

7.911651

7.967983

7.732123

7.754123

8.214448

7.829882

1706.03782

Daniel Carney

Daniel Carney, Laurent Chaurette, Dominik Neuenfeld and Gordon Walter Semenoff

Infrared quantum information

5 pages. v2: slightly expanded remarks on black holes, including explicit proposal for BH entropy; refs and acknowledgements added. version submitted to PRL

Phys. Rev. Lett. 119, 180502 (2017)

10.1103/PhysRevLett.119.180502

null

hep-th gr-qc quant-ph

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

We discuss information-theoretic properties of low-energy photons and gravitons in the S-matrix. Given an incoming n-particle momentum eigenstate, we demonstrate that unobserved soft photons decohere nearly all outgoing momentum superpositions of charged particles, while the universality of gravity implies that soft gravitons decohere nearly all outgoing momentum superpositions of all the hard particles. Using this decoherence, we compute the entanglement entropy of the soft bosons and show that it is infrared-finite when the leading divergences are re-summed a la Bloch and Nordsieck.

[ { "created": "Mon, 12 Jun 2017 18:00:09 GMT", "version": "v1" }, { "created": "Thu, 15 Jun 2017 22:02:17 GMT", "version": "v2" } ]

2017-11-08

[ [ "Carney", "Daniel", "" ], [ "Chaurette", "Laurent", "" ], [ "Neuenfeld", "Dominik", "" ], [ "Semenoff", "Gordon Walter", "" ] ]

We discuss information-theoretic properties of low-energy photons and gravitons in the S-matrix. Given an incoming n-particle momentum eigenstate, we demonstrate that unobserved soft photons decohere nearly all outgoing momentum superpositions of charged particles, while the universality of gravity implies that soft gravitons decohere nearly all outgoing momentum superpositions of all the hard particles. Using this decoherence, we compute the entanglement entropy of the soft bosons and show that it is infrared-finite when the leading divergences are re-summed a la Bloch and Nordsieck.

9.210034

10.6923

9.539874

9.09757

9.860054

9.905927

9.702159

10.254967

8.853882

11.572185

8.99786

9.24332

9.6895

9.02387

8.643186

9.314756

9.010151

8.919399

8.800575

9.212629

8.899077

1507.02641

Ehsan Hatefi

On New Bulk Singularity Structures, RR Couplings in Asymmetric Picture and Their All Order $\alpha'$ Corrections

34 pages, minor clarifications added. Published version in EPJC

Eur. Phys. J. C (2017) 77:520

10.1140/epjc/s10052-017-5108-y

null

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

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

We have analyzed in detail four and five point functions of the string theory amplitudes, including a closed string Ramond-Ramond (RR) in an asymmetric picture and either two or three transverse scalar fields in both IIA and IIB. The complete forms of these S-matrices are derived and these asymmetric S-matrices are also compared with their own symmetric results. This leads us to explore two different kinds of bulk singularity structures as well as various new couplings in asymmetric picture of the amplitude in type II string theory. All order $\alpha'$ higher derivative corrections to these new couplings have been discovered as well. Several remarks for these two new bulk singularity structures and for contact interactions of the S-Matrix have also been made.

[ { "created": "Thu, 9 Jul 2015 18:32:16 GMT", "version": "v1" }, { "created": "Mon, 4 Jan 2016 19:21:40 GMT", "version": "v2" }, { "created": "Sun, 30 Apr 2017 19:50:26 GMT", "version": "v3" }, { "created": "Tue, 25 Jul 2017 10:03:36 GMT", "version": "v4" } ]

2017-08-08

[ [ "Hatefi", "Ehsan", "" ] ]

We have analyzed in detail four and five point functions of the string theory amplitudes, including a closed string Ramond-Ramond (RR) in an asymmetric picture and either two or three transverse scalar fields in both IIA and IIB. The complete forms of these S-matrices are derived and these asymmetric S-matrices are also compared with their own symmetric results. This leads us to explore two different kinds of bulk singularity structures as well as various new couplings in asymmetric picture of the amplitude in type II string theory. All order $\alpha'$ higher derivative corrections to these new couplings have been discovered as well. Several remarks for these two new bulk singularity structures and for contact interactions of the S-Matrix have also been made.

16.699112

11.635055

17.195793

14.50152

12.379121

12.33749

12.389503

12.133717

12.852115

19.626873

13.053699

14.320372

16.703169

14.977684

14.28421

13.973703

13.93895

14.371046

15.24593

16.849112

14.753824

1811.01023

Yusuke Yamada

Renata Kallosh, Andrei Linde, Yusuke Yamada

Planck 2018 and Brane Inflation Revisited

29 pages, 8 figures

null

10.1007/JHEP01(2019)008

null

hep-th astro-ph.CO gr-qc

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

We revisit phenomenological as well as string-theoretical aspects of D-brane inflation cosmological models. Phenomenologically these models stand out on par with $\alpha$-attractors, as models with Planck-compatible values of $n_s$, moving down to the sweet spot in the data with decreasing value of $r$. On the formal side we present a new supersymmetric version of these models in the context of de Sitter supergravity with a nilpotent multiplet and volume modulus stabilization. The geometry of the nilpotent multiplet is evaluated in the framework of string theory.

[ { "created": "Fri, 2 Nov 2018 18:00:24 GMT", "version": "v1" } ]

2019-01-30

[ [ "Kallosh", "Renata", "" ], [ "Linde", "Andrei", "" ], [ "Yamada", "Yusuke", "" ] ]

We revisit phenomenological as well as string-theoretical aspects of D-brane inflation cosmological models. Phenomenologically these models stand out on par with $\alpha$-attractors, as models with Planck-compatible values of $n_s$, moving down to the sweet spot in the data with decreasing value of $r$. On the formal side we present a new supersymmetric version of these models in the context of de Sitter supergravity with a nilpotent multiplet and volume modulus stabilization. The geometry of the nilpotent multiplet is evaluated in the framework of string theory.

13.503291

12.721479

13.339409

12.023249

13.091064

13.034673

12.761891

10.880336

12.352165

14.04632

12.055696

12.271762

12.50887

11.828179

12.28283

12.045758

12.189723

11.482458

12.111974

12.372102

11.786874

hep-th/0104044

Michael Gutperle

Michael Gutperle and Wafic A. Sabra

A Supersymmetric Solution in N=2 Gauged Supergravity with the Universal Hypermultiplet

15 pages, Latex, no figures

Phys.Lett. B511 (2001) 311-318

10.1016/S0370-2693(01)00643-8

HUTP-01/A017

hep-th

null

We present supersymmetric solutions for the theory of gauged supergravity in five dimensions obtained by gauging the shift symmetry of the axion of the universal hypermultiplet. This gauged theory can also be obtained by dimensionally reducing M-theory on a Calabi-Yau threefold with background flux. The solution found preserves half of the N=2 supersymmetry, carries electric fields and has nontrivial scalar field representing the CY-volume. We comment on the possible solutions of more general hypermultiplet gauging.

[ { "created": "Thu, 5 Apr 2001 21:06:37 GMT", "version": "v1" } ]

2009-11-07

[ [ "Gutperle", "Michael", "" ], [ "Sabra", "Wafic A.", "" ] ]

We present supersymmetric solutions for the theory of gauged supergravity in five dimensions obtained by gauging the shift symmetry of the axion of the universal hypermultiplet. This gauged theory can also be obtained by dimensionally reducing M-theory on a Calabi-Yau threefold with background flux. The solution found preserves half of the N=2 supersymmetry, carries electric fields and has nontrivial scalar field representing the CY-volume. We comment on the possible solutions of more general hypermultiplet gauging.

9.051991

8.347293

10.575307

8.590445

8.978506

8.808487

8.576053

7.398609

7.923313

11.656568

8.675519

8.131197

10.054369

8.431343

8.412351

8.50253

8.412578

8.62339

8.284976

10.144443

8.311828

hep-th/9903181

Changhyun Ahn

Changhyun Ahn and Hoil Kim

Branes at $\C^4/\Ga$ Singularity from Toric Geometry

1 figure, 4 tables, latex file and 26 pages:v1 added mathematical results on projective crepant resolutions by Dais et al and refs added:v2 typos corrected and the beginning paragrphs in section 3 clarified

JHEP 9904 (1999) 012

10.1088/1126-6708/1999/04/012

SNUTP-99-011

hep-th

null

We study toric singularities of the form of $\C^4/\Ga$ for finite abelian groups $\Ga \subset SU(4)$. In particular, we consider the simplest case $\Ga=\Z_2 \times \Z_2 \times \Z_2$ and find explicitly charge matrices for partial resolutions of this orbifold by extending the method by Morrison and Plesser. We obtain three kinds of algebraic equations, $z_1 z_2 z_3 z_4=z_5^2, z_1 z_2 z_3=z_4^2 z_5 $ and $z_1 z_2 z_5 = z_3 z_4$ where $z_i$'s parametrize $\C^5$. When we put $N$ D1 branes at this singularity, it is known that the field theory on the worldvolume of $N$ D1 branes is T-dual to $2 \times 2 \times 2 $ brane cub model. We analyze geometric interpretation for field theory parameters and moduli space.

[ { "created": "Mon, 22 Mar 1999 08:06:49 GMT", "version": "v1" }, { "created": "Tue, 30 Mar 1999 06:19:51 GMT", "version": "v2" }, { "created": "Fri, 9 Apr 1999 12:07:15 GMT", "version": "v3" } ]

2009-10-31

[ [ "Ahn", "Changhyun", "" ], [ "Kim", "Hoil", "" ] ]

We study toric singularities of the form of $\C^4/\Ga$ for finite abelian groups $\Ga \subset SU(4)$. In particular, we consider the simplest case $\Ga=\Z_2 \times \Z_2 \times \Z_2$ and find explicitly charge matrices for partial resolutions of this orbifold by extending the method by Morrison and Plesser. We obtain three kinds of algebraic equations, $z_1 z_2 z_3 z_4=z_5^2, z_1 z_2 z_3=z_4^2 z_5 $ and $z_1 z_2 z_5 = z_3 z_4$ where $z_i$'s parametrize $\C^5$. When we put $N$ D1 branes at this singularity, it is known that the field theory on the worldvolume of $N$ D1 branes is T-dual to $2 \times 2 \times 2 $ brane cub model. We analyze geometric interpretation for field theory parameters and moduli space.

6.494656

6.396145

7.105575

6.117596

6.8555

6.75881

6.561615

6.590453

6.365494

8.142928

6.056787

6.097259

6.540292

6.143359

6.255868

6.091756

6.178093

6.179845

6.272621

6.527718

5.996265

hep-th/0009112

Yaron Oz

Yaron Oz, Tony Pantev and Daniel Waldram

Brane-Antibrane Systems on Calabi-Yau Spaces

25 pages, Latex

JHEP 0102:045,2001

10.1088/1126-6708/2001/02/045

CERN-TH/2000-174

hep-th

null

We propose a correspondence between brane-antibrane systems and stable triples (E_1,E_2,T), where E_1,E_2 are holomorphic vector bundles and the tachyon T is a map between them. We demonstrate that, under the assumption of holomorphicity, the brane-antibrane field equations reduce to a set of vortex equations, which are equivalent to the mathematical notion of stability of the triple. We discuss some examples and show that the theory of stable triples suggests a new notion of BPS bound states and stability, and curious relations between brane-antibrane configurations and wrapped branes in higher dimensions.

[ { "created": "Thu, 14 Sep 2000 12:27:51 GMT", "version": "v1" } ]

2009-10-31

[ [ "Oz", "Yaron", "" ], [ "Pantev", "Tony", "" ], [ "Waldram", "Daniel", "" ] ]

We propose a correspondence between brane-antibrane systems and stable triples (E_1,E_2,T), where E_1,E_2 are holomorphic vector bundles and the tachyon T is a map between them. We demonstrate that, under the assumption of holomorphicity, the brane-antibrane field equations reduce to a set of vortex equations, which are equivalent to the mathematical notion of stability of the triple. We discuss some examples and show that the theory of stable triples suggests a new notion of BPS bound states and stability, and curious relations between brane-antibrane configurations and wrapped branes in higher dimensions.

7.784097

8.037155

8.453337

7.368215

7.696796

8.239033

7.995564

7.537905

7.389285

8.255918

7.833055

7.497376

8.005843

7.471837

7.300931

7.33168

7.231566

7.1884

7.562357

7.876452

7.294507

2303.12482

Azadeh Mohammadi

Dionisio Bazeia, Jo\~ao G. F. Campos and Azadeh Mohammadi

Kink-antikink collisions in the $\phi^8$ model: short-range to long-range journey

null

JHEP 05 (2023) 116

10.1007/JHEP05(2023)116

null

hep-th nlin.PS

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

We studied kink-antikink collisions in (1+1)-dimensional spacetime for all $Z_2$ symmetric $\phi^8$ models with four degenerate minima. Such a polynomial model has only one free parameter, allowing us to conduct an exhaustive analysis. We performed detailed simulations in all three sectors of the model. We observed resonance windows from both localized and delocalized modes, as well as a sector change with the formation of additional kink-antikink pairs. Furthermore, we were able to show how collisions are modified when two quadratic minima merge into a quartic one, causing the kinks to acquire a long-range character. We demonstrated that when the tail not facing the opposing kink is long-range, incoming kinks and antikinks decay directly into radiation, as suggested in \cite{campos2021interaction}, by forming a large number of small kink-antikink pairs. Finally, we briefly discussed whether our analysis could be generalized to other polynomial models.

[ { "created": "Wed, 22 Mar 2023 11:50:25 GMT", "version": "v1" }, { "created": "Fri, 23 Jun 2023 16:31:43 GMT", "version": "v2" } ]

2023-06-26

[ [ "Bazeia", "Dionisio", "" ], [ "Campos", "João G. F.", "" ], [ "Mohammadi", "Azadeh", "" ] ]

We studied kink-antikink collisions in (1+1)-dimensional spacetime for all $Z_2$ symmetric $\phi^8$ models with four degenerate minima. Such a polynomial model has only one free parameter, allowing us to conduct an exhaustive analysis. We performed detailed simulations in all three sectors of the model. We observed resonance windows from both localized and delocalized modes, as well as a sector change with the formation of additional kink-antikink pairs. Furthermore, we were able to show how collisions are modified when two quadratic minima merge into a quartic one, causing the kinks to acquire a long-range character. We demonstrated that when the tail not facing the opposing kink is long-range, incoming kinks and antikinks decay directly into radiation, as suggested in \cite{campos2021interaction}, by forming a large number of small kink-antikink pairs. Finally, we briefly discussed whether our analysis could be generalized to other polynomial models.

12.588783

10.542406

13.242749

11.098482

12.543823

11.435486

11.825111

11.338319

11.426067

14.311135

10.98616

11.675416

12.127656

11.282255

11.61989

11.420157

11.669255

11.629754

11.806066

12.434566

11.5046

1011.0463

Fernando C. Lombardo

C.D. Fosco, F.C. Lombardo, and F.D. Mazzitelli

Inertial forces and dissipation on accelerated boundaries

7 pages, no figures

Phys.Rev.D82:125039,2010

10.1103/PhysRevD.82.125039

null

hep-th quant-ph

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

We study dissipative effects due to inertial forces acting on matter fields confined to accelerated boundaries in $1+1$, $2+1$, and $3+1$ dimensions. These matter fields describe the internal degrees of freedom of `mirrors' and impose, on the surfaces where they are defined, boundary conditions on a fluctuating `vacuum' field. We construct different models, involving either scalar or Dirac matter fields coupled to a vacuum scalar field, and use effective action techniques to calculate the strength of dissipation. In the case of massless Dirac fields, the results could be used to describe the inertial forces on an accelerated graphene sheet.

[ { "created": "Mon, 1 Nov 2010 22:25:58 GMT", "version": "v1" } ]

2011-03-07

[ [ "Fosco", "C. D.", "" ], [ "Lombardo", "F. C.", "" ], [ "Mazzitelli", "F. D.", "" ] ]

We study dissipative effects due to inertial forces acting on matter fields confined to accelerated boundaries in $1+1$, $2+1$, and $3+1$ dimensions. These matter fields describe the internal degrees of freedom of `mirrors' and impose, on the surfaces where they are defined, boundary conditions on a fluctuating `vacuum' field. We construct different models, involving either scalar or Dirac matter fields coupled to a vacuum scalar field, and use effective action techniques to calculate the strength of dissipation. In the case of massless Dirac fields, the results could be used to describe the inertial forces on an accelerated graphene sheet.

10.8909

8.948481

9.775716

9.161942

9.278738

9.393385

9.523391

9.948982

9.18822

10.348698

9.088775

9.944592

9.912507

9.275685

9.955969

9.705562

9.442163

9.349131

9.659329

9.580201

9.757517

2106.09560

Romanczukiewicz Tomasz Ph.D.

Patrick Dorey, Anastasia Gorina, Ilya Perapechka, Tomasz Roma\'nczukiewicz and Yakov Shnir

Resonance structures in kink-antikink collisions in a deformed sine-Gordon model

40 pages, 31 figures

null

10.1007/JHEP09(2021)145

null

hep-th

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

We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the $\phi^4$ model, and a $\phi^6$-like model with three degenerate vacua. We find a rich variety of behaviours, including integrability breaking, resonance windows with increasingly irregular patterns, and new types of windows near the $\phi^6$-like regime. False vacua, extra kink modes and kink fragmentation play important roles in the explanations of these phenomena. Our numerical studies are backed up by detailed analytical considerations.

[ { "created": "Thu, 17 Jun 2021 14:40:48 GMT", "version": "v1" } ]

2021-10-13

[ [ "Dorey", "Patrick", "" ], [ "Gorina", "Anastasia", "" ], [ "Perapechka", "Ilya", "" ], [ "Romańczukiewicz", "Tomasz", "" ], [ "Shnir", "Yakov", "" ] ]

We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the $\phi^4$ model, and a $\phi^6$-like model with three degenerate vacua. We find a rich variety of behaviours, including integrability breaking, resonance windows with increasingly irregular patterns, and new types of windows near the $\phi^6$-like regime. False vacua, extra kink modes and kink fragmentation play important roles in the explanations of these phenomena. Our numerical studies are backed up by detailed analytical considerations.

9.048515

7.141112

8.795728

7.711415

7.291893

7.138049

7.086531

7.690567

6.977843

9.479513

7.133292

7.422091

8.665336

7.89075

7.479308

7.458698

7.569072

7.591386

7.560269

8.421107

7.619452

1806.09703

Pedro Liendo

Mikhail Isachenkov, Pedro Liendo, Yannick Linke, Volker Schomerus

Calogero-Sutherland Approach to Defect Blocks

v2: changes for clarity

null

10.1007/JHEP10(2018)204

null

hep-th

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

Extended objects such as line or surface operators, interfaces or boundaries play an important role in conformal field theory. Here we propose a systematic approach to the relevant conformal blocks which are argued to coincide with the wave functions of an integrable multi-particle Calogero-Sutherland problem. This generalizes a recent observation in 1602.01858 and makes extensive mathematical results from the modern theory of multi-variable hypergeometric functions available for studies of conformal defects. Applications range from several new relations with scalar four-point blocks to a Euclidean inversion formula for defect correlators.

[ { "created": "Mon, 25 Jun 2018 21:11:36 GMT", "version": "v1" }, { "created": "Fri, 9 Nov 2018 20:02:22 GMT", "version": "v2" } ]

2018-11-14

[ [ "Isachenkov", "Mikhail", "" ], [ "Liendo", "Pedro", "" ], [ "Linke", "Yannick", "" ], [ "Schomerus", "Volker", "" ] ]

Extended objects such as line or surface operators, interfaces or boundaries play an important role in conformal field theory. Here we propose a systematic approach to the relevant conformal blocks which are argued to coincide with the wave functions of an integrable multi-particle Calogero-Sutherland problem. This generalizes a recent observation in 1602.01858 and makes extensive mathematical results from the modern theory of multi-variable hypergeometric functions available for studies of conformal defects. Applications range from several new relations with scalar four-point blocks to a Euclidean inversion formula for defect correlators.

16.548183

14.015765

21.784941

13.430135

14.029124

13.109249

14.146352

14.744143

14.198354

21.562929

14.239316

13.868523

17.776197

15.621309

15.028743

14.261941

14.850536

15.222484

15.582553

18.349642

14.361428

hep-th/0008147

Marianne Rooman

M. Rooman and Ph. Spindel

Holonomies, anomalies and the Fefferman-Graham ambiguity in AdS3 gravity

LaTeX, 26 pages, 1 figure, modified version that will appear in Nucl. Phys. B

Nucl.Phys. B594 (2001) 329-353

10.1016/S0550-3213(00)00636-2

null

hep-th

null

Using the Chern-Simon formulation of (2+1) gravity, we derive, for the general asymptotic metrics given by the Fefferman-Graham-Lee theorems, the emergence of the Liouville mode associated to the boundary degrees of freedom of (2+1) dimensional anti de Sitter geometries. Holonomies are described through multi-valued gauge and Liouville fields and are found to algebraically couple the fields defined on the disconnected components of spatial infinity. In the case of flat boundary metrics, explicit expressions are obtained for the fields and holonomies. We also show the link between the variation under diffeomorphisms of the Einstein theory of gravitation and the Weyl anomaly of the conformal theory at infinity.

[ { "created": "Fri, 18 Aug 2000 09:57:13 GMT", "version": "v1" }, { "created": "Fri, 17 Nov 2000 08:34:00 GMT", "version": "v2" } ]

2009-10-31

[ [ "Rooman", "M.", "" ], [ "Spindel", "Ph.", "" ] ]

Using the Chern-Simon formulation of (2+1) gravity, we derive, for the general asymptotic metrics given by the Fefferman-Graham-Lee theorems, the emergence of the Liouville mode associated to the boundary degrees of freedom of (2+1) dimensional anti de Sitter geometries. Holonomies are described through multi-valued gauge and Liouville fields and are found to algebraically couple the fields defined on the disconnected components of spatial infinity. In the case of flat boundary metrics, explicit expressions are obtained for the fields and holonomies. We also show the link between the variation under diffeomorphisms of the Einstein theory of gravitation and the Weyl anomaly of the conformal theory at infinity.

12.407975

11.018443

12.722052

10.959733

11.089695

10.908051

10.916449

10.897676

11.424325

13.762198

10.935984

10.929945

12.250216

11.30931

11.047074

11.559566

10.876472

11.039624

11.334514

12.20342

11.023088

1812.09314

Xinan Zhou

Dalimil Maz\'a\v{c}, Leonardo Rastelli, Xinan Zhou

An Analytic Approach to BCFT$_d$

67 pages, 8 figures

null

10.1007/JHEP12(2019)004

PUPT-2580; YITP-44

hep-th

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

We develop an analytic approach to Boundary Conformal Field Theory (BCFT), focussing on the two-point function of a general pair of scalar primary operators. The resulting crossing equation can be thought of as a vector equation in an infinite-dimensional space ${\cal V}$ of analytic functions of a single complex variable. We argue that in a unitary theory, functions in ${\cal V}$ satisfy a boundedness condition in the Regge limit. We identify a useful basis for ${\cal V}$, consisting of bulk and boundary conformal blocks with scaling dimensions which appear in OPEs of the mean field theory correlator. Our main achievement is an explicit expression for the action of the dual basis (the basis of liner functionals on ${\cal V}$) on an arbitrary conformal block. The practical merit of our basis is that it trivializes the study of perturbations around mean field theory. Our results are equivalent to a BCFT version of the Polyakov bootstrap. Our derivation of the expressions for the functionals relies on the identification of the Polyakov blocks with (suitably improved) boundary and bulk Witten exchange diagrams in $AdS_{d+1}$. We also provide another conceptual perspective on the Polyakov block expansion and the associated functionals, by deriving a new Lorentzian OPE inversion formula for BCFT.

[ { "created": "Fri, 21 Dec 2018 18:52:42 GMT", "version": "v1" } ]

2020-01-29

[ [ "Mazáč", "Dalimil", "" ], [ "Rastelli", "Leonardo", "" ], [ "Zhou", "Xinan", "" ] ]

We develop an analytic approach to Boundary Conformal Field Theory (BCFT), focussing on the two-point function of a general pair of scalar primary operators. The resulting crossing equation can be thought of as a vector equation in an infinite-dimensional space ${\cal V}$ of analytic functions of a single complex variable. We argue that in a unitary theory, functions in ${\cal V}$ satisfy a boundedness condition in the Regge limit. We identify a useful basis for ${\cal V}$, consisting of bulk and boundary conformal blocks with scaling dimensions which appear in OPEs of the mean field theory correlator. Our main achievement is an explicit expression for the action of the dual basis (the basis of liner functionals on ${\cal V}$) on an arbitrary conformal block. The practical merit of our basis is that it trivializes the study of perturbations around mean field theory. Our results are equivalent to a BCFT version of the Polyakov bootstrap. Our derivation of the expressions for the functionals relies on the identification of the Polyakov blocks with (suitably improved) boundary and bulk Witten exchange diagrams in $AdS_{d+1}$. We also provide another conceptual perspective on the Polyakov block expansion and the associated functionals, by deriving a new Lorentzian OPE inversion formula for BCFT.

8.659827

8.728236

10.127515

8.400055

8.7751

8.829465

9.086646

8.563441

8.535716

11.375977

8.657784

8.529133

8.698226

8.501502

8.589618

8.551934

8.663323

8.459299

8.197492

8.947541

8.381172

hep-th/9511072

Mikhail Plyushchay

G. Grignani, M. Plyushchay and P. Sodano

A Pseudoclassical Model for $P,T-$Invariant Planar Fermions

24 pages, LaTeX, minor stylistic corrections, to appear in Nucl. Phys. B

Nucl.Phys. B464 (1996) 189-212

10.1016/0550-3213(96)00062-4

null

hep-th

null

A pseudoclassical model is proposed for the description of planar $P,T-$invariant massive fermions. The quantization of the model leads to the (2+1)-dimensional $P,T-$invariant fermion model used recently in $P,T-$conserving theories of high-T${}_c$ superconductors. The rich symmetry of the quantum model is elucidated through the analysis of the canonical structure of its pseudoclassical counterpart. We show that both the quantum $P,T-$invariant planar massive fermion model and the proposed pseudoclassical model --- for a particular choice of the parameter appearing in the Lagrangian --- have a U(1,1) dynamical symmetry as well as an $N=3$ supersymmetry. The hidden supersymmetry leads to a non-standard superextension of the (2+1)-dimensional Poincar\'e group. In the quantum theory the one particle states provide an irreducible representation of the extended supergroup labelled by the zero eigenvalue of the superspin. We discuss the gauge modification of the pseudoclassical model and compare our results with those obtained from the standard pseudoclassical model for massive planar fermions.

[ { "created": "Fri, 10 Nov 1995 14:44:46 GMT", "version": "v1" }, { "created": "Wed, 28 Feb 1996 00:30:14 GMT", "version": "v2" } ]

2009-10-28

[ [ "Grignani", "G.", "" ], [ "Plyushchay", "M.", "" ], [ "Sodano", "P.", "" ] ]

A pseudoclassical model is proposed for the description of planar $P,T-$invariant massive fermions. The quantization of the model leads to the (2+1)-dimensional $P,T-$invariant fermion model used recently in $P,T-$conserving theories of high-T${}_c$ superconductors. The rich symmetry of the quantum model is elucidated through the analysis of the canonical structure of its pseudoclassical counterpart. We show that both the quantum $P,T-$invariant planar massive fermion model and the proposed pseudoclassical model --- for a particular choice of the parameter appearing in the Lagrangian --- have a U(1,1) dynamical symmetry as well as an $N=3$ supersymmetry. The hidden supersymmetry leads to a non-standard superextension of the (2+1)-dimensional Poincar\'e group. In the quantum theory the one particle states provide an irreducible representation of the extended supergroup labelled by the zero eigenvalue of the superspin. We discuss the gauge modification of the pseudoclassical model and compare our results with those obtained from the standard pseudoclassical model for massive planar fermions.

7.058442

6.037256

7.307318

5.928648

6.067677

5.715847

6.274053

5.991505

6.00257

7.439616

6.04104

6.558653

6.89439

6.470631

6.371712

6.1271

6.323209

6.300646

6.449076

6.957346

6.454576

hep-th/0606082

Debashis Ghoshal

On the relation between p-adic and ordinary strings

13 pages harvmac (b), 2 eps figures; v2: revtex, shortened, published version

Phys. Rev. Lett. 97, 151601 (2006)

10.1103/PhysRevLett.97.151601

AEI-2006-045, HRI-P-0606001

hep-th

null

The amplitudes for the tree-level scattering of the open string tachyons, generalised to the field of p-adic numbers, define the p-adic string theory. There is empirical evidence of its relation to the ordinary string theory in the p_to_1 limit. We revisit this limit from a worldsheet perspective and argue that it is naturally thought of as a continuum limit in the sense of the renormalisation group.

[ { "created": "Fri, 9 Jun 2006 08:43:04 GMT", "version": "v1" }, { "created": "Fri, 27 Oct 2006 08:40:02 GMT", "version": "v2" } ]

2009-11-11

[ [ "Ghoshal", "Debashis", "" ] ]

The amplitudes for the tree-level scattering of the open string tachyons, generalised to the field of p-adic numbers, define the p-adic string theory. There is empirical evidence of its relation to the ordinary string theory in the p_to_1 limit. We revisit this limit from a worldsheet perspective and argue that it is naturally thought of as a continuum limit in the sense of the renormalisation group.

9.977378

8.711624

11.670837

10.472981

10.138485

10.290147

10.041962

10.577445

9.908463

11.512104

9.180129

9.205123

10.31057

9.186244

9.490284

10.053137

9.136115

9.46169

9.518105

10.552307

9.24313

2012.01816

Diana Lopez Nacir

Diana L. L\'opez Nacir and Juli\'an Rovner

Quantum backreaction of $O(N)$-symmetric scalar fields and de Sitter spacetimes at the renormalization point: renormalization schemes and the screening of the cosmological constant

14 pages, 3 figures; v2 agrees with the published version; in v2 we introduced new clarifications and we replaced the figures by new ones in order to fix a mistake in v1 and to provide additional details of the results

Phys. Rev. D 103, 125002 (2021)

10.1103/PhysRevD.103.125002

null

hep-th astro-ph.CO gr-qc

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

We consider a theory of $N$ self-interacting quantum scalar fields with quartic $O(N)$-symmetric potential, with a coupling constant $\lambda$, in a generic curved spacetime. We analyze the renormalization process of the Semiclassical Einstein Equations at leading order in the $1/N$ expansion for different renormailzation schemes, namely: the traditional one that sets the geometry of the spacetime to be Minkowski at the renormalization point, and new schemes (originally proposed in [1,2]) which set the geometry to be that of a fixed de Sitter spacetime. In particular, we study the quantum backreaction for fields in de Sitter spacetimes with masses much smaller than the expansion rate $H$. We find that the scheme that uses the classical de Sitter background solution at the renormalization point, stands out as the most appropriate to study the quantum effects on de Sitter spacetimes. Adopting such scheme we obtain the backreaction is suppressed by $H^2/M_{pl}^2$ with no logarithmic enhancement factor of $\ln{\lambda}$, giving only a small screening of the classical cosmological constant due to the backreaction of such quantum fields. We point out the use of the new schemes can also be more appropriate than the traditional one to study quantum effects in other spacetimes relevant for cosmology.

[ { "created": "Thu, 3 Dec 2020 10:43:22 GMT", "version": "v1" }, { "created": "Tue, 1 Jun 2021 23:57:51 GMT", "version": "v2" } ]

2021-06-03

[ [ "Nacir", "Diana L. López", "" ], [ "Rovner", "Julián", "" ] ]

We consider a theory of $N$ self-interacting quantum scalar fields with quartic $O(N)$-symmetric potential, with a coupling constant $\lambda$, in a generic curved spacetime. We analyze the renormalization process of the Semiclassical Einstein Equations at leading order in the $1/N$ expansion for different renormailzation schemes, namely: the traditional one that sets the geometry of the spacetime to be Minkowski at the renormalization point, and new schemes (originally proposed in [1,2]) which set the geometry to be that of a fixed de Sitter spacetime. In particular, we study the quantum backreaction for fields in de Sitter spacetimes with masses much smaller than the expansion rate $H$. We find that the scheme that uses the classical de Sitter background solution at the renormalization point, stands out as the most appropriate to study the quantum effects on de Sitter spacetimes. Adopting such scheme we obtain the backreaction is suppressed by $H^2/M_{pl}^2$ with no logarithmic enhancement factor of $\ln{\lambda}$, giving only a small screening of the classical cosmological constant due to the backreaction of such quantum fields. We point out the use of the new schemes can also be more appropriate than the traditional one to study quantum effects in other spacetimes relevant for cosmology.

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hep-th/9303012

null

J.J.M. Verbaarschot and I. Zahed

Spectral Density of the QCD Dirac Operator near Zero Virtuality

9 pages + 1 figure, SUNY-NTG-93/2

Phys.Rev.Lett. 70 (1993) 3852-3855

10.1103/PhysRevLett.70.3852

null

hep-th

null

We investigate the spectral properties of a random matrix model, which in the large $N$ limit, embodies the essentials of the QCD partition function at low energy. The exact spectral density and its pair correlation function are derived for an arbitrary number of flavors and zero topological charge. Their microscopic limit provide the master formulae for sum rules for the inverse powers of the eigenvalues of the QCD Dirac operator as recently discussed by Leutwyler and Smilga.

[ { "created": "Tue, 2 Mar 1993 17:56:41 GMT", "version": "v1" } ]

2009-10-22

[ [ "Verbaarschot", "J. J. M.", "" ], [ "Zahed", "I.", "" ] ]

We investigate the spectral properties of a random matrix model, which in the large $N$ limit, embodies the essentials of the QCD partition function at low energy. The exact spectral density and its pair correlation function are derived for an arbitrary number of flavors and zero topological charge. Their microscopic limit provide the master formulae for sum rules for the inverse powers of the eigenvalues of the QCD Dirac operator as recently discussed by Leutwyler and Smilga.

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