LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1712.04976

Marco Bertolini

Marco Bertolini, M. Ronen Plesser

(0,2) hybrid models

60 pages; v2: references added

null

10.1007/JHEP09(2018)067

null

hep-th

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

We introduce a class of (0,2) superconformal field theories based on hybrid geometries, generalizing various known constructions. We develop techniques for the computation of the complete massless spectrum when the theory can be interpreted as determining a perturbative heterotic string compactification. We provide evidence for surprising properties regarding RG flows and IR accidental symmetries in (0,2) hybrid CFTs. We also study the conditions for embedding a hybrid theory in a particular class of gauged linear sigma models. This perspective suggests that our construction generates models which cannot be realized or analyzed by previously known methods.

[ { "created": "Wed, 13 Dec 2017 19:50:10 GMT", "version": "v1" }, { "created": "Tue, 24 Jul 2018 06:52:10 GMT", "version": "v2" } ]

2018-10-17

[ [ "Bertolini", "Marco", "" ], [ "Plesser", "M. Ronen", "" ] ]

We introduce a class of (0,2) superconformal field theories based on hybrid geometries, generalizing various known constructions. We develop techniques for the computation of the complete massless spectrum when the theory can be interpreted as determining a perturbative heterotic string compactification. We provide evidence for surprising properties regarding RG flows and IR accidental symmetries in (0,2) hybrid CFTs. We also study the conditions for embedding a hybrid theory in a particular class of gauged linear sigma models. This perspective suggests that our construction generates models which cannot be realized or analyzed by previously known methods.

11.81111

12.568034

13.706032

11.844699

12.370467

11.832859

12.171651

11.28529

11.691868

14.726346

10.918878

11.781502

12.716047

11.823053

11.714337

11.972238

11.819525

11.603625

11.817513

13.198887

11.621707

1503.03570

Hongbo Cheng

Yue Zhong, Hongbo Cheng

The virial relation for the Q-balls in the thermal logarithmic potential revisited analytically

12 pages, 2 figures

Physics Letters B743(2015)347

10.1016/j.physletb.2015.02.053

null

hep-th

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

We study the properties of Q-balls dominated by the thermal logarithmic potential analytically instead of estimating the characters with only some specific values of model variables numerically. In particular the analytical expressions for radius and energy of this kind of Q-ball are obtained. According to these explicit expressions we demonstrate strictly that the large Q-balls enlarge and the small ones become smaller in the background with lower temperature. The energy per unit charge will not be divergent if the charge is enormous. We find that the lower temperature will lead the energy per unit charge of Q-ball smaller. We also prove rigorously the necessary conditions that the model parameters should satisfy to keep the stability of the Q-balls. When one of model parameters of Q-balls $K$ is positive, the Q-balls will not form or survive unless the temperature is high enough. In the case of negative $K$, the Q-balls are stable no matter the temperature is high or low.

[ { "created": "Thu, 12 Mar 2015 03:08:43 GMT", "version": "v1" } ]

2015-06-24

[ [ "Zhong", "Yue", "" ], [ "Cheng", "Hongbo", "" ] ]

We study the properties of Q-balls dominated by the thermal logarithmic potential analytically instead of estimating the characters with only some specific values of model variables numerically. In particular the analytical expressions for radius and energy of this kind of Q-ball are obtained. According to these explicit expressions we demonstrate strictly that the large Q-balls enlarge and the small ones become smaller in the background with lower temperature. The energy per unit charge will not be divergent if the charge is enormous. We find that the lower temperature will lead the energy per unit charge of Q-ball smaller. We also prove rigorously the necessary conditions that the model parameters should satisfy to keep the stability of the Q-balls. When one of model parameters of Q-balls $K$ is positive, the Q-balls will not form or survive unless the temperature is high enough. In the case of negative $K$, the Q-balls are stable no matter the temperature is high or low.

12.281477

11.99883

11.491046

11.276223

12.034993

11.792951

12.583979

11.726186

11.342407

12.617007

11.598989

12.34304

11.482045

11.537895

12.183877

12.094282

12.501103

12.045824

11.704243

12.216335

11.794002

1501.00480

I. V. Kanatchikov

I.V. Kanatchikov (St Andrews)

Ehrenfest Theorem in Precanonical Quantization

24 pages. v2: adapted to the Publisher style + intro rewritten + few changes in the text & typos corrected + new refs. added. v3: few minor typos corrected

J. Geom. Symmetry Phys. 37 (2015) 43-66

10.7546/jgsp-37-2015-43-66

null

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

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

We discuss the precanonical quantization of fields which is based on the De Donder--Weyl (DW) Hamiltonian formulation and treats the space and time variables on an equal footing. Classical field equations in DW Hamiltonian form are derived as the equations for the expectation values of precanonical quantum operators. This field-theoretic generalization of the Ehrenfest theorem demonstrates the consistency of three aspects of precanonical field quantization: (i) the precanonical representation of operators in terms of the Clifford (Dirac) algebra valued partial differential operators, (ii) the Dirac-like precanonical generalization of the Schr\"odinger equation without the distinguished time dimension, and (iii) the definition of the scalar product for calculation of expectation values of operators using the Clifford-valued precanonical wave functions.

[ { "created": "Fri, 2 Jan 2015 20:44:37 GMT", "version": "v1" }, { "created": "Tue, 20 Jan 2015 09:38:51 GMT", "version": "v2" }, { "created": "Mon, 6 Apr 2015 13:54:12 GMT", "version": "v3" } ]

2015-04-07

[ [ "Kanatchikov", "I. V.", "", "St Andrews" ] ]

We discuss the precanonical quantization of fields which is based on the De Donder--Weyl (DW) Hamiltonian formulation and treats the space and time variables on an equal footing. Classical field equations in DW Hamiltonian form are derived as the equations for the expectation values of precanonical quantum operators. This field-theoretic generalization of the Ehrenfest theorem demonstrates the consistency of three aspects of precanonical field quantization: (i) the precanonical representation of operators in terms of the Clifford (Dirac) algebra valued partial differential operators, (ii) the Dirac-like precanonical generalization of the Schr\"odinger equation without the distinguished time dimension, and (iii) the definition of the scalar product for calculation of expectation values of operators using the Clifford-valued precanonical wave functions.

6.409781

7.056509

6.626478

6.588486

7.280453

6.128188

6.719273

6.349469

7.472857

7.249273

6.602999

6.671588

6.160403

6.187446

6.150192

5.851095

6.179768

5.905693

6.272245

6.489744

6.258343

1304.0449

Kurt Hinterbichler

A. Emir Gumrukcuoglu, Kurt Hinterbichler, Chunshan Lin, Shinji Mukohyama, Mark Trodden

Cosmological Perturbations in Extended Massive Gravity

24 pages, 6 figures

Phys. Rev. D 88, 024023 (2013)

10.1103/PhysRevD.88.024023

null

hep-th astro-ph.CO

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

We study cosmological perturbations around self-accelerating solutions to two extensions of nonlinear massive gravity: the quasi-dilaton theory and the mass-varying theory. We examine stability of the cosmological solutions, and the extent to which the vanishing of the kinetic terms for scalar and vector perturbations of self-accelerating solutions in massive gravity is generic when the theory is extended. We find that these kinetic terms are in general non-vanishing in both extensions, though there are constraints on the parameters and background evolution from demanding that they have the correct sign. In particular, the self-accelerating solutions of the quasi-dilaton theory are always unstable to scalar perturbations with wavelength shorter than the Hubble length.

[ { "created": "Mon, 1 Apr 2013 20:00:00 GMT", "version": "v1" } ]

2013-07-19

[ [ "Gumrukcuoglu", "A. Emir", "" ], [ "Hinterbichler", "Kurt", "" ], [ "Lin", "Chunshan", "" ], [ "Mukohyama", "Shinji", "" ], [ "Trodden", "Mark", "" ] ]

We study cosmological perturbations around self-accelerating solutions to two extensions of nonlinear massive gravity: the quasi-dilaton theory and the mass-varying theory. We examine stability of the cosmological solutions, and the extent to which the vanishing of the kinetic terms for scalar and vector perturbations of self-accelerating solutions in massive gravity is generic when the theory is extended. We find that these kinetic terms are in general non-vanishing in both extensions, though there are constraints on the parameters and background evolution from demanding that they have the correct sign. In particular, the self-accelerating solutions of the quasi-dilaton theory are always unstable to scalar perturbations with wavelength shorter than the Hubble length.

5.739218

5.389813

6.165244

5.422339

5.967004

5.675705

5.563056

5.323587

5.655553

6.569253

5.275006

5.680891

5.668597

5.534097

5.588277

5.602393

5.498558

5.587014

5.462802

5.68243

5.439486

1001.4089

Dongsu Bak

Dongsu Bak and Sangheon Yun

Thermal Aspects of ABJM theory: Currents and Condensations

18 pages, references added, small corrections

Class.Quant.Grav.27:215011,2010

10.1088/0264-9381/27/21/215011

UOS 10101

hep-th

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

To study thermal aspects of the ABJM theory in the strongly coupled regime, we carry out the CP3 invariant dimensional reduction of the type IIA supergravity down to four dimensions. We then investigate zero and finite temperature responses of the operators which are dual to the AdS scalar and vector fields. Two scalar operators are shown to have finite-temperature condensations by coupling of constant source term. The currents dual to the massless and massive gauge fields are not induced by coupling of constant boundary vector potential, which implies that the phase described by black brane background is not superconducting. We also discuss a generalization to charged (dyonic) black holes.

[ { "created": "Mon, 25 Jan 2010 10:54:50 GMT", "version": "v1" }, { "created": "Mon, 1 Feb 2010 11:32:26 GMT", "version": "v2" }, { "created": "Tue, 6 Apr 2010 07:14:52 GMT", "version": "v3" } ]

2011-01-27

[ [ "Bak", "Dongsu", "" ], [ "Yun", "Sangheon", "" ] ]

To study thermal aspects of the ABJM theory in the strongly coupled regime, we carry out the CP3 invariant dimensional reduction of the type IIA supergravity down to four dimensions. We then investigate zero and finite temperature responses of the operators which are dual to the AdS scalar and vector fields. Two scalar operators are shown to have finite-temperature condensations by coupling of constant source term. The currents dual to the massless and massive gauge fields are not induced by coupling of constant boundary vector potential, which implies that the phase described by black brane background is not superconducting. We also discuss a generalization to charged (dyonic) black holes.

16.185894

15.521626

16.650122

15.080597

15.953484

17.795046

15.978203

16.271175

14.677039

18.398724

15.777843

14.143249

14.636169

14.396396

14.447172

14.032239

13.906048

14.507686

14.014899

14.643967

13.961588

1112.3403

Azat Gainutdinov

A. M. Gainutdinov, N. Read, H. Saleur

Continuum limit and symmetries of the periodic gl(1|1) spin chain

43 pp, few comments added

Nuclear Physics B 871 [FS] (2013) 245-288

10.1016/j.nuclphysb.2013.01.018

null

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

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

This paper is the first in a series devoted to the study of logarithmic conformal field theories (LCFT) in the bulk. Building on earlier work in the boundary case, our general strategy consists in analyzing the algebraic properties of lattice regularizations (quantum spin chains) of these theories. In the boundary case, a crucial step was the identification of the space of states as a bimodule over the Temperley Lieb (TL) algebra and the quantum group U_q sl(2). The extension of this analysis in the bulk case involves considerable difficulties, since the U_q sl(2) symmetry is partly lost, while the TL algebra is replaced by a much richer version (the Jones Temperley Lieb - JTL - algebra). Even the simplest case of the gl(1|1) spin chain - corresponding to the c=-2 symplectic fermions theory in the continuum limit - presents very rich aspects, which we will discuss in several papers. In this first work, we focus on the symmetries of the spin chain, that is, the centralizer of the JTL algebra in the alternating tensor product of the gl(1|1) fundamental representation and its dual. We prove that this centralizer is only a subalgebra of U_q sl(2) at q=i that we dub U_q^{odd} sl(2). We then begin the analysis of the continuum limit of the JTL algebra: using general arguments about the regularization of the stress energy-tensor, we identify families of JTL elements going over to the Virasoro generators L_n, \bar{L}_n in the continuum limit. We then discuss the SU(2) symmetry of the (continuum limit) symplectic fermions theory from the lattice and JTL point of view. The analysis of the spin chain as a bimodule over U_q^{odd} sl(2) and JTL is discussed in the second paper of this series.

[ { "created": "Thu, 15 Dec 2011 01:08:42 GMT", "version": "v1" }, { "created": "Tue, 7 Feb 2012 16:47:49 GMT", "version": "v2" }, { "created": "Fri, 22 Feb 2013 17:00:27 GMT", "version": "v3" } ]

2013-03-29

[ [ "Gainutdinov", "A. M.", "" ], [ "Read", "N.", "" ], [ "Saleur", "H.", "" ] ]

This paper is the first in a series devoted to the study of logarithmic conformal field theories (LCFT) in the bulk. Building on earlier work in the boundary case, our general strategy consists in analyzing the algebraic properties of lattice regularizations (quantum spin chains) of these theories. In the boundary case, a crucial step was the identification of the space of states as a bimodule over the Temperley Lieb (TL) algebra and the quantum group U_q sl(2). The extension of this analysis in the bulk case involves considerable difficulties, since the U_q sl(2) symmetry is partly lost, while the TL algebra is replaced by a much richer version (the Jones Temperley Lieb - JTL - algebra). Even the simplest case of the gl(1|1) spin chain - corresponding to the c=-2 symplectic fermions theory in the continuum limit - presents very rich aspects, which we will discuss in several papers. In this first work, we focus on the symmetries of the spin chain, that is, the centralizer of the JTL algebra in the alternating tensor product of the gl(1|1) fundamental representation and its dual. We prove that this centralizer is only a subalgebra of U_q sl(2) at q=i that we dub U_q^{odd} sl(2). We then begin the analysis of the continuum limit of the JTL algebra: using general arguments about the regularization of the stress energy-tensor, we identify families of JTL elements going over to the Virasoro generators L_n, \bar{L}_n in the continuum limit. We then discuss the SU(2) symmetry of the (continuum limit) symplectic fermions theory from the lattice and JTL point of view. The analysis of the spin chain as a bimodule over U_q^{odd} sl(2) and JTL is discussed in the second paper of this series.

6.044835

6.275448

6.988699

5.931531

6.187082

6.441507

6.145655

6.391123

6.165127

7.057364

6.197724

5.944539

5.992092

5.840792

6.104133

6.01229

5.911557

5.969335

5.974272

6.006586

5.971837

hep-th/9805184

David J. Toms

J. J. McKenzie-Smith and D. J. Toms

There is no new physics in the multiplicative anomaly

24 pages, RevTex, no figures

Phys.Rev. D58 (1998) 105001

10.1103/PhysRevD.58.105001

null

hep-th

null

We discuss the role of the multiplicative anomaly for a complex scalar field at finite temperature and density. It is argued that physical considerations must be applied to determine which of the many possible expressions for the effective action obtained by the functional integral method is correct. This is done by first studying the non-relativistic field where the thermodynamic potential is well-known. The relativistic case is also considered. We emphasize that the role of the multiplicative anomaly is not to lead to new physics, but rather to preserve the equality among the various expressions for the effective action.

[ { "created": "Wed, 27 May 1998 13:45:54 GMT", "version": "v1" } ]

2009-10-31

[ [ "McKenzie-Smith", "J. J.", "" ], [ "Toms", "D. J.", "" ] ]

We discuss the role of the multiplicative anomaly for a complex scalar field at finite temperature and density. It is argued that physical considerations must be applied to determine which of the many possible expressions for the effective action obtained by the functional integral method is correct. This is done by first studying the non-relativistic field where the thermodynamic potential is well-known. The relativistic case is also considered. We emphasize that the role of the multiplicative anomaly is not to lead to new physics, but rather to preserve the equality among the various expressions for the effective action.

8.645846

8.550404

9.06121

8.278121

8.214048

8.068759

8.152181

8.320915

8.063485

9.885578

7.856036

8.188482

8.830311

8.174384

8.384548

8.470429

8.256778

8.097774

8.382088

8.586872

7.921493

hep-th/9507136

Eduardo Fradkin

Daniel Cabra (Universidad de La Plata), Eduardo Fradkin (University of Illinois), Gerardo L.Rossini (Universidad de La Plata) and Fidel A.Schaposnik (Universidad de La Plata)

Gauge Invariance and Finite Temperature Effective Actions of Chern-Simons Gauge Theories with Fermions

Revtex, multicol

Phys.Lett. B383 (1996) 434-438

10.1016/0370-2693(96)00613-2

null

hep-th

null

We discuss the behavior of theories of fermions coupled to Chern-Simons gauge fields with a non-abelian gauge group in three dimensions and at finite temperature. Using non-perturbative arguments and gauge invariance, and in contradiction with perturbative results, we show that the coefficient of the Chern-Simons term of the effective actions for the gauge fields at finite temperature can be {\it at most} an integer function of the temperature. This is in a sense a generalized no-renormalization theorem. We also discuss the case of abelian theories and give indications that a similar condition should hold there too. We discuss consequences of our results to the thermodynamics of anyon superfluids and fractional quantum Hall systems.

[ { "created": "Tue, 25 Jul 1995 22:45:42 GMT", "version": "v1" } ]

2019-08-15

[ [ "Cabra", "Daniel", "", "Universidad de La Plata" ], [ "Fradkin", "Eduardo", "", "University of\n Illinois" ], [ "Rossini", "Gerardo L.", "", "Universidad de La Plata" ], [ "Schaposnik", "Fidel A.", "", "Universidad de La Plata" ] ]

We discuss the behavior of theories of fermions coupled to Chern-Simons gauge fields with a non-abelian gauge group in three dimensions and at finite temperature. Using non-perturbative arguments and gauge invariance, and in contradiction with perturbative results, we show that the coefficient of the Chern-Simons term of the effective actions for the gauge fields at finite temperature can be {\it at most} an integer function of the temperature. This is in a sense a generalized no-renormalization theorem. We also discuss the case of abelian theories and give indications that a similar condition should hold there too. We discuss consequences of our results to the thermodynamics of anyon superfluids and fractional quantum Hall systems.

7.555098

7.101767

7.642293

6.696964

7.068083

7.242715

7.076044

6.963492

7.021169

7.545138

6.98531

7.073462

7.261189

6.892683

6.992152

7.327571

7.036352

7.050974

7.08202

6.990722

6.920397

hep-th/0208034

Ivan K. Kostov

Integrable flows in c=1 string theory

sect.1 extended and typos corrected

J.Phys.A36:3153-3172,2003; AnnalesHenriPoincare4:S825-S849,2003

10.1088/0305-4470/36/12/317

null

hep-th

null

In these notes we review the method to construct integrable deformations of the compactified c=1 bosonic string theory by primary fields (momentum or winding modes), developed recently in collaboration with S. Alexandrov and V. Kazakov. The method is based on the formulation of the string theory as a matrix model. The flows generated by either momentum or winding modes (but not both) are integrable and satisfy the Toda lattice hierarchy.

[ { "created": "Mon, 5 Aug 2002 03:24:08 GMT", "version": "v1" }, { "created": "Fri, 6 Sep 2002 16:08:55 GMT", "version": "v2" }, { "created": "Sun, 8 Sep 2002 19:38:35 GMT", "version": "v3" } ]

2008-11-26

[ [ "Kostov", "Ivan K.", "" ] ]

In these notes we review the method to construct integrable deformations of the compactified c=1 bosonic string theory by primary fields (momentum or winding modes), developed recently in collaboration with S. Alexandrov and V. Kazakov. The method is based on the formulation of the string theory as a matrix model. The flows generated by either momentum or winding modes (but not both) are integrable and satisfy the Toda lattice hierarchy.

9.642806

8.181191

9.364538

8.354429

8.933714

8.945946

8.233137

9.002885

8.466692

9.884925

7.814287

8.442461

8.872109

8.515708

8.614985

8.36373

8.301066

7.96195

8.39854

8.94658

8.244422

2212.03993

Benjamin Burrington

Benjamin A. Burrington and A. W. Peet

Larger Twists and Higher $n$-Point Functions with Fractional Conformal Descendants in $S_N$ Orbifold CFTs at Large $N$

27 pages

null

10.1007/JHEP02(2023)229

null

hep-th

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

We consider correlation functions in symmetric product ($S_N$) orbifold CFTs at large $N$ with arbitrary seed CFT, expanding on our earlier work arXiv:2211.04633 . Using covering space techniques, we calculate descent relations using fractional Virasoro generators in correlators, writing correlators of descendants in terms of correlators of ancestors. We first consider the case three-point functions of the form ($m$-cycle)-($n$-cycle)-($q$-cycle) which lift to arbitrary primaries on the cover, and descendants thereof. In these examples we show that the final descent relations do not depend on the covering space data, nor on the specific details of the seed CFT. This makes these descent relations universal in all $S_N$ orbifold CFTs. Next, we explore four-point functions of the form (2-cycle)-($n$-cycle)-($n$-cycle)-(2-cycle) which lift to arbitrary primaries on the cover, and descendants thereof. In such cases a single parameter in the map $s$ parameterizes both the base space cross ratio $\zeta_z$ and the covering space cross ratio $\zeta_t$. We find that the descent relations for the four point functions depend only on base space data and the parameter $s$, which we argue is tantamount to writing the descent relations in terms of the base space data and the base space cross ratio. These descent relations again do not depend on the covering space data, nor the specifics of the seed CFT, making these universal as well.

[ { "created": "Wed, 7 Dec 2022 22:55:03 GMT", "version": "v1" } ]

2023-03-22

[ [ "Burrington", "Benjamin A.", "" ], [ "Peet", "A. W.", "" ] ]

We consider correlation functions in symmetric product ($S_N$) orbifold CFTs at large $N$ with arbitrary seed CFT, expanding on our earlier work arXiv:2211.04633 . Using covering space techniques, we calculate descent relations using fractional Virasoro generators in correlators, writing correlators of descendants in terms of correlators of ancestors. We first consider the case three-point functions of the form ($m$-cycle)-($n$-cycle)-($q$-cycle) which lift to arbitrary primaries on the cover, and descendants thereof. In these examples we show that the final descent relations do not depend on the covering space data, nor on the specific details of the seed CFT. This makes these descent relations universal in all $S_N$ orbifold CFTs. Next, we explore four-point functions of the form (2-cycle)-($n$-cycle)-($n$-cycle)-(2-cycle) which lift to arbitrary primaries on the cover, and descendants thereof. In such cases a single parameter in the map $s$ parameterizes both the base space cross ratio $\zeta_z$ and the covering space cross ratio $\zeta_t$. We find that the descent relations for the four point functions depend only on base space data and the parameter $s$, which we argue is tantamount to writing the descent relations in terms of the base space data and the base space cross ratio. These descent relations again do not depend on the covering space data, nor the specifics of the seed CFT, making these universal as well.

7.504882

7.810737

8.441099

7.470002

7.419953

7.290487

7.128886

7.512659

7.558285

9.15336

7.092916

7.692888

7.926629

7.521609

7.332034

7.484101

7.43616

7.580086

7.303278

7.853658

7.380728

2005.08906

Matias Leoni

$T\bar{T}$ deformation of classical Liouville field theory

25 pages, minor corrections, reference added

null

10.1007/JHEP07(2020)230

null

hep-th

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

We consider the irrelevant flow of classical Liouville field theory driven by the $T\bar T$ operator. After discussing properties of its exact action and equation of motion we construct an infinite set of conserved currents. We also find its vacuum solutions.

[ { "created": "Mon, 18 May 2020 17:27:11 GMT", "version": "v1" }, { "created": "Tue, 23 Jun 2020 21:10:40 GMT", "version": "v2" } ]

2020-08-26

[ [ "Leoni", "Matias", "" ] ]

We consider the irrelevant flow of classical Liouville field theory driven by the $T\bar T$ operator. After discussing properties of its exact action and equation of motion we construct an infinite set of conserved currents. We also find its vacuum solutions.

17.965881

12.633683

18.58712

14.296799

12.743536

13.856176

11.992483

13.33794

13.282723

19.875782

13.471621

14.260373

18.020315

15.038961

14.674279

14.496884

14.808802

14.533413

15.384706

16.936543

14.512511

2304.11184

Alex May

Alex May and Michelle Xu

Non-local computation and the black hole interior

null

hep-th quant-ph

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

In a two sided black hole, systems falling in from opposite asymptotic regions can meet inside the black hole and interact. This is the case even while the two CFTs describing each asymptotic region are non-interacting. Here, we relate these behind the horizon interactions to non-local quantum computations. This gives a quantum circuit perspective on these interactions, which applies whenever the interaction occurs in the past of a certain extremal surface that sits inside the black hole and in arbitrary dimension. Whenever our perspective applies, we obtain a boundary signature for these interior collisions which is stated in terms of the mutual information. We further revisit the connection discussed earlier between bulk interactions in one sided AdS geometries and non-local computation, and recycle some of our techniques to offer a new perspective on making that connection precise.

[ { "created": "Fri, 21 Apr 2023 18:00:05 GMT", "version": "v1" }, { "created": "Sun, 15 Oct 2023 21:16:47 GMT", "version": "v2" }, { "created": "Thu, 11 Jan 2024 16:36:03 GMT", "version": "v3" } ]

2024-01-12

[ [ "May", "Alex", "" ], [ "Xu", "Michelle", "" ] ]

In a two sided black hole, systems falling in from opposite asymptotic regions can meet inside the black hole and interact. This is the case even while the two CFTs describing each asymptotic region are non-interacting. Here, we relate these behind the horizon interactions to non-local quantum computations. This gives a quantum circuit perspective on these interactions, which applies whenever the interaction occurs in the past of a certain extremal surface that sits inside the black hole and in arbitrary dimension. Whenever our perspective applies, we obtain a boundary signature for these interior collisions which is stated in terms of the mutual information. We further revisit the connection discussed earlier between bulk interactions in one sided AdS geometries and non-local computation, and recycle some of our techniques to offer a new perspective on making that connection precise.

19.620022

18.974146

19.690882

17.483374

19.316786

17.644869

18.017124

18.563467

17.311199

22.270817

18.037252

17.364466

18.57159

18.128368

17.3969

18.216873

17.260553

17.409883

17.459681

17.940109

17.75104

hep-th/0009154

Silvio Paolo Sorella

C.D. Fosco, V.E.R. Lemes, L.E. Oxman, S.P. Sorella and O.S. Ventura

Dual description of U(1) charged fields in (2+1) dimensions

25 pages

Ann.Phys.290:27-44,2001

10.1006/aphy.2001.6133

UERJ/DFT-02/2000

hep-th

null

We show that the functional bosonization procedure can be generalized in such a way that, to any field theory with a conserved Abelian charge in (2+1) dimensions, there corresponds a dual Abelian gauge field theory. The properties of this mapping and of the dual theory are discussed in detail, presenting different explicit examples. In particular, the meaning and effect of the coefficient of the Chern-Simons term in the dual action is interpreted in terms of the spin and statistics connection.

[ { "created": "Wed, 20 Sep 2000 13:31:39 GMT", "version": "v1" } ]

2008-11-26

[ [ "Fosco", "C. D.", "" ], [ "Lemes", "V. E. R.", "" ], [ "Oxman", "L. E.", "" ], [ "Sorella", "S. P.", "" ], [ "Ventura", "O. S.", "" ] ]

We show that the functional bosonization procedure can be generalized in such a way that, to any field theory with a conserved Abelian charge in (2+1) dimensions, there corresponds a dual Abelian gauge field theory. The properties of this mapping and of the dual theory are discussed in detail, presenting different explicit examples. In particular, the meaning and effect of the coefficient of the Chern-Simons term in the dual action is interpreted in terms of the spin and statistics connection.

8.419592

8.331361

8.36821

7.538503

7.35462

7.611019

7.170799

7.46682

7.653767

9.108652

7.793283

7.723534

8.090431

7.73077

7.346066

7.961787

7.92487

7.741636

7.650293

8.146699

7.415175

hep-th/9910042

Alon Faraggi

Alon E. Faraggi

Superstring Phenomenology - A Personal Perspective

25 pages. Standard Latex & iopconf1.sty. To appear in the proceedings of Beyond the Desert 99 - Accelerator and non Accelerator Approaches, Castle Ringberg, Tegernsee, Germany, 6-12 June 1999

null

UMN-TH-1819-99; TPI-MINN-98/42

hep-th hep-ph

null

In the first part of this paper I review the construction of the realistic free fermionic models, as well as current attempts to study aspects of these models in the nonperturbative framework of M- and F-theories. I discuss the recent demonstration of a Minimal Superstring Standard Model, which contains in the observable sector, below the string scale, solely the MSSM charged spectrum, and provides further support to the assertion that the true string vacuum is connected to the Z_2 X Z_2 orbifold in the vicinity of the free fermionic point in the Narain moduli space. In the second part I review the recent formulation of quantum mechanics from an equivalence postulate, which offers a new perspective on the synthesis of gravity and quantum mechanics, and contemplate possible relations with string theory and beyond.

[ { "created": "Tue, 5 Oct 1999 22:21:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Faraggi", "Alon E.", "" ] ]

In the first part of this paper I review the construction of the realistic free fermionic models, as well as current attempts to study aspects of these models in the nonperturbative framework of M- and F-theories. I discuss the recent demonstration of a Minimal Superstring Standard Model, which contains in the observable sector, below the string scale, solely the MSSM charged spectrum, and provides further support to the assertion that the true string vacuum is connected to the Z_2 X Z_2 orbifold in the vicinity of the free fermionic point in the Narain moduli space. In the second part I review the recent formulation of quantum mechanics from an equivalence postulate, which offers a new perspective on the synthesis of gravity and quantum mechanics, and contemplate possible relations with string theory and beyond.

11.07024

10.248558

9.012534

9.254923

10.66148

10.585947

10.345094

8.923245

8.523939

10.527436

10.085066

10.260841

10.373559

10.404525

10.405964

9.900719

9.989239

10.259914

10.336935

11.005281

10.286828

1502.01544

Yutaka Ookouchi

Aya Kasai and Yutaka Ookouchi

Decay of False Vacuum via Fuzzy Monopole in String Theory

18 pages, 7 figures

Phys. Rev. D 91, 126002 (2015)

10.1103/PhysRevD.91.126002

null

hep-th

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

We investigate dielectric branes in false vacua in Type IIB string theory. The dielectric branes are supported against collapsing by lower energy vacua inside spherical or tube-like branes. We claim that such branes can be seeds for semi-classical (or quantum mechanical) decay of the false vacua, which makes the life-time of the false vacua shorter. Also, we discuss a topology change of a bubble corresponding to the fuzzy monopole triggered by dissolving fundamental strings.

[ { "created": "Thu, 5 Feb 2015 13:39:59 GMT", "version": "v1" } ]

2015-06-17

[ [ "Kasai", "Aya", "" ], [ "Ookouchi", "Yutaka", "" ] ]

We investigate dielectric branes in false vacua in Type IIB string theory. The dielectric branes are supported against collapsing by lower energy vacua inside spherical or tube-like branes. We claim that such branes can be seeds for semi-classical (or quantum mechanical) decay of the false vacua, which makes the life-time of the false vacua shorter. Also, we discuss a topology change of a bubble corresponding to the fuzzy monopole triggered by dissolving fundamental strings.

17.614693

16.294439

17.87534

14.271243

15.038263

15.164349

16.751341

15.313321

14.360072

19.196562

15.666923

14.75839

16.984711

15.048814

15.378241

15.340595

15.337267

15.126394

14.837353

16.617027

14.946424

1412.4855

Tomohiko Takahashi

Isao Kishimoto, Toru Masuda, Tomohiko Takahashi and Shoko Takemoto

Open String Fields as Matrices

9 pages; v2: adding one paragraph about overlaps and minor corrections; v3: final version

null

10.1093/ptep/ptv023

null

hep-th

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

We show that the action expanded around Erler-Maccaferri's N D-brane solution describes the N+1 D-brane system where one D-brane disappears due to tachyon condensation. String fields on multi-branes can be regarded as block matrices of a string field on a single D-brane in the same way as matrix theories.

[ { "created": "Tue, 16 Dec 2014 01:41:02 GMT", "version": "v1" }, { "created": "Sat, 10 Jan 2015 01:58:48 GMT", "version": "v2" }, { "created": "Fri, 20 Feb 2015 04:35:42 GMT", "version": "v3" } ]

2015-03-18

[ [ "Kishimoto", "Isao", "" ], [ "Masuda", "Toru", "" ], [ "Takahashi", "Tomohiko", "" ], [ "Takemoto", "Shoko", "" ] ]

We show that the action expanded around Erler-Maccaferri's N D-brane solution describes the N+1 D-brane system where one D-brane disappears due to tachyon condensation. String fields on multi-branes can be regarded as block matrices of a string field on a single D-brane in the same way as matrix theories.

13.558853

12.290182

17.604877

11.813924

12.666128

12.638069

12.915388

12.966188

12.599867

16.16054

11.188212

11.571415

13.416619

12.133142

12.253157

11.495168

12.1497

11.80847

11.74894

13.446744

11.348588

2105.04577

David Berenstein

David Berenstein, Yueshu Guan

Improved semiclassical model for real time evaporation of Matrix black holes

17 pages, 4 figures. v2: added references

null

10.1142/S0217751X21502195

null

hep-th

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

We study real time classical matrix mechanics of a simplified $2\times 2$ matrix model inspired by the black hole evaporation problem. This is a step towards making a quantitative model of real time evaporation of a black hole, which is realized as a bound state of D0-branes in string theory. The model we study is the reduction of Yang Mills in $2+1$ dimension to $0+1$ dimensions, which has been corrected with an additional potential that can be interpreted as a zero point energy for fermions. Our goal is to understand the lifetime of such a classical bound state object in the classical regime. To do so, we pay particular attention to when D-particles separate to check that the "off diagonal modes" of the matrices become adiabatic and use that information to improve on existing models of evaporation. It turns out that the naive expectation value of the lifetime with the fermionic correction is infinite. This is a logarithmic divergence that arises from very large excursions in the separation between the branes near the threshold for classical evaporation. The adiabatic behavior lets us get some analytic control of the dynamics in this regime to get this estimate. This divergence is cutoff in the quantum theory due to quantization of the adiabatic parameter, resulting in a long lifetime of the bound state, with a parametric dependence of order $\log(1/\hbar)$.

[ { "created": "Mon, 10 May 2021 18:00:04 GMT", "version": "v1" }, { "created": "Thu, 21 Oct 2021 21:07:51 GMT", "version": "v2" } ]

2021-12-01

[ [ "Berenstein", "David", "" ], [ "Guan", "Yueshu", "" ] ]

We study real time classical matrix mechanics of a simplified $2\times 2$ matrix model inspired by the black hole evaporation problem. This is a step towards making a quantitative model of real time evaporation of a black hole, which is realized as a bound state of D0-branes in string theory. The model we study is the reduction of Yang Mills in $2+1$ dimension to $0+1$ dimensions, which has been corrected with an additional potential that can be interpreted as a zero point energy for fermions. Our goal is to understand the lifetime of such a classical bound state object in the classical regime. To do so, we pay particular attention to when D-particles separate to check that the "off diagonal modes" of the matrices become adiabatic and use that information to improve on existing models of evaporation. It turns out that the naive expectation value of the lifetime with the fermionic correction is infinite. This is a logarithmic divergence that arises from very large excursions in the separation between the branes near the threshold for classical evaporation. The adiabatic behavior lets us get some analytic control of the dynamics in this regime to get this estimate. This divergence is cutoff in the quantum theory due to quantization of the adiabatic parameter, resulting in a long lifetime of the bound state, with a parametric dependence of order $\log(1/\hbar)$.

11.829217

12.601891

12.621346

11.640598

11.910109

11.110516

11.907643

11.795929

11.438695

12.965416

11.405182

11.715578

11.330378

11.155634

11.362174

11.774877

11.694213

12.137128

11.218617

11.753328

11.535078

1405.7365

Stefan Leichenauer

Disrupting Entanglement of Black Holes

20 pages, 3 figures; v2: references added

Phys. Rev. D 90, 046009 (2014)

10.1103/PhysRevD.90.046009

CALT-TH-2014-139

hep-th

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

We study entanglement in thermofield double states of strongly coupled CFTs by analyzing two-sided Reissner-Nordstrom solutions in AdS. The central object of study is the mutual information between a pair of regions, one on each asymptotic boundary of the black hole. For large regions the mutual information is positive and for small ones it vanishes; we compute the critical length scale, which goes to infinity for extremal black holes, of the transition. We also generalize the butterfly effect of Shenker and Stanford to a wide class of charged black holes, showing that mutual information is disrupted upon perturbing the system and waiting for a time of order $\log E/\delta E$ in units of the temperature. We conjecture that the parametric form of this timescale is universal.

[ { "created": "Wed, 28 May 2014 20:00:02 GMT", "version": "v1" }, { "created": "Mon, 23 Jun 2014 18:47:45 GMT", "version": "v2" } ]

2014-09-05

[ [ "Leichenauer", "Stefan", "" ] ]

We study entanglement in thermofield double states of strongly coupled CFTs by analyzing two-sided Reissner-Nordstrom solutions in AdS. The central object of study is the mutual information between a pair of regions, one on each asymptotic boundary of the black hole. For large regions the mutual information is positive and for small ones it vanishes; we compute the critical length scale, which goes to infinity for extremal black holes, of the transition. We also generalize the butterfly effect of Shenker and Stanford to a wide class of charged black holes, showing that mutual information is disrupted upon perturbing the system and waiting for a time of order $\log E/\delta E$ in units of the temperature. We conjecture that the parametric form of this timescale is universal.

7.781476

7.935853

8.482931

6.63643

7.880541

7.051162

7.414765

7.352952

6.98273

8.986157

7.378232

7.394241

7.897748

7.299882

7.372658

7.488235

7.516362

7.550142

7.296421

7.582205

7.123233

hep-th/9910123

Dr P. K. Panigrahi

N. Gurappa and Prasanta K. Panigrahi

Free harmonic oscillators, Jack polynomials and Calogero-Sutherland systems

18 pages, REVTeX, Minor corrections: two equations are corrected; final version

null

10.1103/PhysRevB.62.1943

null

hep-th cond-mat math-ph math.MP nlin.SI quant-ph solv-int

null

The algebraic structure and the relationships between the eigenspaces of the Calogero-Sutherland model (CSM) and the Sutherland model (SM) on a circle are investigated through the Cherednik operators. We find an exact connection between the simultaneous non-symmetric eigenfunctions of the $A_{N-1}$ Cherednik operators, from which the eigenfunctions of the CSM and SM are constructed, and the monomials. This construction, not only, allows one to write down a harmonic oscillator algebra involving the Cherednik operators, which yields the raising and lowering operators for both of these models, but also shows the connection of the CSM with free oscillators and the SM with free particles on a circle. We also point out the subtle differences between the excitations of the CSM and the SM.

[ { "created": "Fri, 15 Oct 1999 19:55:29 GMT", "version": "v1" }, { "created": "Tue, 26 Oct 1999 01:12:31 GMT", "version": "v2" }, { "created": "Wed, 27 Oct 1999 18:22:04 GMT", "version": "v3" } ]

2009-10-31

[ [ "Gurappa", "N.", "" ], [ "Panigrahi", "Prasanta K.", "" ] ]

The algebraic structure and the relationships between the eigenspaces of the Calogero-Sutherland model (CSM) and the Sutherland model (SM) on a circle are investigated through the Cherednik operators. We find an exact connection between the simultaneous non-symmetric eigenfunctions of the $A_{N-1}$ Cherednik operators, from which the eigenfunctions of the CSM and SM are constructed, and the monomials. This construction, not only, allows one to write down a harmonic oscillator algebra involving the Cherednik operators, which yields the raising and lowering operators for both of these models, but also shows the connection of the CSM with free oscillators and the SM with free particles on a circle. We also point out the subtle differences between the excitations of the CSM and the SM.

7.112154

6.945171

7.862535

7.030811

6.89444

6.705802

7.115223

7.047585

7.059837

7.226666

6.886539

6.805336

7.101939

6.683425

6.863388

6.851326

6.871039

6.693142

6.685458

7.150745

6.665393

2201.12007

Josef Kluson

J. Kluson

Note About String with Deformed Dispersion Relation

8 pages

null

hep-th

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

We study string theory with global momentum living on de Sitter space. We also show that this presumption leads to the string with deformed dispersion relation.

[ { "created": "Fri, 28 Jan 2022 09:36:17 GMT", "version": "v1" } ]

2022-01-31

[ [ "Kluson", "J.", "" ] ]

We study string theory with global momentum living on de Sitter space. We also show that this presumption leads to the string with deformed dispersion relation.

43.235981

31.846857

39.626087

32.340382

27.281532

26.340605

28.88645

30.52368

30.649958

43.523327

31.163643

30.624107

33.981377

32.816658

32.602707

33.265972

32.165482

32.616638

31.690071

35.577679

33.375465

2012.07096

Diego Trancanelli

Nadav Drukker, Marcia Tenser, Diego Trancanelli

Notes on hyperloops in N=4 Chern-Simons-matter theories

30 pages, 8 figures; v2: minor changes, added reference

null

10.1007/JHEP07(2021)159

null

hep-th

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

We present new circular Wilson loops in three-dimensional N=4 quiver Chern-Simons-matter theory on S^3. At any given node of the quiver, a two-parameter family of operators can be obtained by opportunely deforming the 1/4 BPS Gaiotto-Yin loop. Including then adjacent nodes, the coupling to the bifundamental matter fields allows to enlarge this family and to construct loop operators based on superconnections. We discuss their classification, which depends on both discrete data and continuous parameters subject to an identification. The resulting moduli spaces are conical manifolds, similar to the conifold of the 1/6 BPS loops of the ABJ(M) theory.

[ { "created": "Sun, 13 Dec 2020 16:35:49 GMT", "version": "v1" }, { "created": "Fri, 2 Jul 2021 17:22:22 GMT", "version": "v2" } ]

2021-07-22

[ [ "Drukker", "Nadav", "" ], [ "Tenser", "Marcia", "" ], [ "Trancanelli", "Diego", "" ] ]

We present new circular Wilson loops in three-dimensional N=4 quiver Chern-Simons-matter theory on S^3. At any given node of the quiver, a two-parameter family of operators can be obtained by opportunely deforming the 1/4 BPS Gaiotto-Yin loop. Including then adjacent nodes, the coupling to the bifundamental matter fields allows to enlarge this family and to construct loop operators based on superconnections. We discuss their classification, which depends on both discrete data and continuous parameters subject to an identification. The resulting moduli spaces are conical manifolds, similar to the conifold of the 1/6 BPS loops of the ABJ(M) theory.

12.088157

10.806651

13.492599

10.204862

12.796113

11.510054

11.212863

10.193236

9.991861

14.504964

10.160647

10.307467

12.047614

11.028753

10.978312

10.896193

11.089323

10.823819

10.504422

11.872491

10.693173

hep-th/0411061

Oliver DeWolfe

Oliver DeWolfe, Alexander Giryavets, Shamit Kachru and Washington Taylor

Enumerating Flux Vacua with Enhanced Symmetries

83 pages, 8 figures, harvmac. v2: references added, typos fixed, brief discussion of complex conjugation in sec. 5 added

JHEP 0502:037,2005

10.1088/1126-6708/2005/02/037

MIT-CTP-3545, PUPT-2142, SU-ITP-04/40, SLAC-PUB-10801

hep-th

null

We study properties of flux vacua in type IIB string theory in several simple but illustrative models. We initiate the study of the relative frequencies of vacua with vanishing superpotential W=0 and with certain discrete symmetries. For the models we investigate we also compute the overall rate of growth of the number of vacua as a function of the D3-brane charge associated to the fluxes, and the distribution of vacua on the moduli space. The latter two questions can also be addressed by the statistical theory developed by Ashok, Denef and Douglas, and our results are in good agreement with their predictions. Analysis of the first two questions requires methods which are more number-theoretic in nature. We develop some elementary techniques of this type, which are based on arithmetic properties of the periods of the compactification geometry at the points in moduli space where the flux vacua are located.

[ { "created": "Thu, 4 Nov 2004 18:26:00 GMT", "version": "v1" }, { "created": "Mon, 6 Dec 2004 22:02:05 GMT", "version": "v2" } ]

2009-10-07

[ [ "DeWolfe", "Oliver", "" ], [ "Giryavets", "Alexander", "" ], [ "Kachru", "Shamit", "" ], [ "Taylor", "Washington", "" ] ]

We study properties of flux vacua in type IIB string theory in several simple but illustrative models. We initiate the study of the relative frequencies of vacua with vanishing superpotential W=0 and with certain discrete symmetries. For the models we investigate we also compute the overall rate of growth of the number of vacua as a function of the D3-brane charge associated to the fluxes, and the distribution of vacua on the moduli space. The latter two questions can also be addressed by the statistical theory developed by Ashok, Denef and Douglas, and our results are in good agreement with their predictions. Analysis of the first two questions requires methods which are more number-theoretic in nature. We develop some elementary techniques of this type, which are based on arithmetic properties of the periods of the compactification geometry at the points in moduli space where the flux vacua are located.

7.873003

8.319466

8.611907

7.167587

8.330255

7.45109

7.456505

7.731747

7.634081

9.241418

7.227861

7.544421

7.809676

7.31775

7.506601

7.364818

7.204486

7.531854

7.389919

8.113922

7.499852

1803.02356

Javier Molina Dr

J. Molina-Vilaplana, A. del Campo

Complexity Functionals and Complexity Growth Limits in Continuous MERA Circuits

26 pages, improved presentation, new section on real time evolution, references added

JHEP08(2018)012

10.1007/JHEP08(2018)012

LA-UR-18-21985

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

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

Using the path integral associated to a cMERA tensor network, we provide an operational definition for the complexity of a cMERA circuit/state which is relevant to investigate the complexity of states in quantum field theory. In this framework, it is possible to explicitly establish the correspondence (Minimal) Complexity $=$ (Least) Action. Remarkably, it is also shown how the cMERA complexity action functional can be seen as the action of a Liouville field theory, thus establishing a connection with two dimensional quantum gravity. Concretely, the Liouville mode is identified with the variational parameter defining the cMERA circuit. The rate of complexity growth along the cMERA renormalization group flow is obtained and shown to saturate limits which are in close resemblance to the fundamental bounds to the speed of evolution in unitary quantum dynamics, known as quantum speed limits. We also show that the complexity of a cMERA circuit measured through these complexity functionals, can be cast in terms of the variationally-optimized amount of left-right entanglement created along the cMERA renormalization flow. Our results suggest that the patterns of entanglement in states of a QFT could determine their dual gravitational descriptions through a principle of least complexity.

[ { "created": "Tue, 6 Mar 2018 19:00:00 GMT", "version": "v1" }, { "created": "Thu, 15 Mar 2018 09:00:04 GMT", "version": "v2" }, { "created": "Thu, 22 Mar 2018 09:24:25 GMT", "version": "v3" }, { "created": "Wed, 27 Jun 2018 09:19:37 GMT", "version": "v4" } ]

2018-08-07

[ [ "Molina-Vilaplana", "J.", "" ], [ "del Campo", "A.", "" ] ]

Using the path integral associated to a cMERA tensor network, we provide an operational definition for the complexity of a cMERA circuit/state which is relevant to investigate the complexity of states in quantum field theory. In this framework, it is possible to explicitly establish the correspondence (Minimal) Complexity $=$ (Least) Action. Remarkably, it is also shown how the cMERA complexity action functional can be seen as the action of a Liouville field theory, thus establishing a connection with two dimensional quantum gravity. Concretely, the Liouville mode is identified with the variational parameter defining the cMERA circuit. The rate of complexity growth along the cMERA renormalization group flow is obtained and shown to saturate limits which are in close resemblance to the fundamental bounds to the speed of evolution in unitary quantum dynamics, known as quantum speed limits. We also show that the complexity of a cMERA circuit measured through these complexity functionals, can be cast in terms of the variationally-optimized amount of left-right entanglement created along the cMERA renormalization flow. Our results suggest that the patterns of entanglement in states of a QFT could determine their dual gravitational descriptions through a principle of least complexity.

9.783988

10.396852

11.965603

9.771139

10.663252

10.585011

9.838329

9.944745

9.883122

10.632559

9.762423

9.536881

10.068382

9.675909

9.671447

9.560054

9.367229

9.552549

9.682812

10.277235

9.871627

hep-th/9502016

null

E. S. Moreira, Jnr. (Queen Mary & Westfield College)

Massive quantum fields in a conical background

Propagator (11) is rewritten in a more convenient form and the one before that is amended. A more concise expression is given for the energy density of a twisted spinor. The references contain minor corrections

Nucl.Phys. B451 (1995) 365-378

10.1016/0550-3213(95)00357-X

QMW/95-5

hep-th gr-qc

null

Representations of the Klein-Gordon and Dirac propagators are determined in a $N$ dimensional conical background for massive fields twisted by an arbitrary angle $2\pi\sigma$. The Dirac propagator is shown to be obtained from the Klein-Gordon propagator twisted by angles $2\pi\sigma\pm {\cal D}/2$ where ${\cal D}$ is the cone deficit angle. Vacuum expectation values are determined by a point-splitting method in the proper time representation of the propagators. Analogies with the Aharonov-Bohm effect are pointed out throughout the paper and a conjecture on an extension to fields of arbitrary spin is given.

[ { "created": "Thu, 2 Feb 1995 17:54:01 GMT", "version": "v1" }, { "created": "Tue, 14 Mar 1995 18:20:13 GMT", "version": "v2" } ]

2009-10-28

[ [ "Moreira", "E. S.", "", "Queen Mary & Westfield College" ], [ "Jnr.", "", "", "Queen Mary & Westfield College" ] ]

Representations of the Klein-Gordon and Dirac propagators are determined in a $N$ dimensional conical background for massive fields twisted by an arbitrary angle $2\pi\sigma$. The Dirac propagator is shown to be obtained from the Klein-Gordon propagator twisted by angles $2\pi\sigma\pm {\cal D}/2$ where ${\cal D}$ is the cone deficit angle. Vacuum expectation values are determined by a point-splitting method in the proper time representation of the propagators. Analogies with the Aharonov-Bohm effect are pointed out throughout the paper and a conjecture on an extension to fields of arbitrary spin is given.

8.299388

8.153294

7.734809

7.418167

7.774516

8.074008

8.260477

7.866187

7.609161

8.26366

7.862371

7.842343

7.36198

7.426791

7.852294

7.487251

7.59137

7.729977

7.637358

7.989368

7.787458

1112.6418

Natalia Kiriushcheva

N. Kiriushcheva, P. G. Komorowski, and S. V. Kuzmin

Remarks on "Note about Hamiltonian formalism of healthy extended Ho\v{r}ava-Lifshitz gravity" by J. Kluso\v{n}

14 pages

null

hep-th gr-qc

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

We reassess the conclusion by Kluso\v{n} (J. High Energy Phys. 1007 (2010) 038) that the Hamiltonian formulation of the healthy extended Ho\v{r}ava-Lifshitz gravity does not present any problem.

[ { "created": "Thu, 29 Dec 2011 20:45:31 GMT", "version": "v1" } ]

2011-12-30

[ [ "Kiriushcheva", "N.", "" ], [ "Komorowski", "P. G.", "" ], [ "Kuzmin", "S. V.", "" ] ]

We reassess the conclusion by Kluso\v{n} (J. High Energy Phys. 1007 (2010) 038) that the Hamiltonian formulation of the healthy extended Ho\v{r}ava-Lifshitz gravity does not present any problem.

13.088506

10.240372

12.920119

10.329382

10.05549

9.226551

10.719099

9.417622

12.251082

12.652993

10.577541

9.996146

10.185713

10.016562

10.464108

10.292028

9.928979

9.93653

11.071263

10.028264

9.976483

hep-th/9607225

Euro Spallucci

A.Smailagic, E.Spallucci

Consistent two--dimensional chiral gravity

38 pages, LateX, to appear in Int.J.Mod.Phys.A

Int.J.Mod.Phys. A12 (1997) 3695-3722

10.1142/S0217751X97001900

null

hep-th

null

We study chiral induced gravity in the light-cone gauge and show that the theory is consistent for a particular choice of chiralities. The corresponding Kac--Moody central charge has no forbidden region of complex values. Generalized analysis of the critical exponents is given and their relation to the $SL(2,R)$ vacuum states is elucidated. All the parameters containing information about the theory can be traced back to the characteristics of the group of residual symmetry in the light--cone gauge.

[ { "created": "Tue, 30 Jul 1996 09:08:37 GMT", "version": "v1" } ]

2009-10-30

[ [ "Smailagic", "A.", "" ], [ "Spallucci", "E.", "" ] ]

We study chiral induced gravity in the light-cone gauge and show that the theory is consistent for a particular choice of chiralities. The corresponding Kac--Moody central charge has no forbidden region of complex values. Generalized analysis of the critical exponents is given and their relation to the $SL(2,R)$ vacuum states is elucidated. All the parameters containing information about the theory can be traced back to the characteristics of the group of residual symmetry in the light--cone gauge.

15.829144

14.741166

16.02162

14.109949

14.148463

13.643675

14.51923

14.250886

12.631831

17.344494

14.355718

13.421332

14.163255

13.424757

13.724972

13.818392

13.909004

13.799682

13.39541

14.191808

13.555905

hep-th/0701278

Evgeny Skvortsov D

E.D. Skvortsov and M.A. Vasiliev

Transverse Invariant Higher Spin Fields

12 pages, no figures. The general proof and the example of a spin-3 added

Phys.Lett.B664:301-306,2008

10.1016/j.physletb.2008.05.043

null

hep-th

null

It is shown that a symmetric massless bosonic higher-spin field can be described by a traceless tensor field with reduced (transverse) gauge invariance. The Hamiltonian analysis of the transverse gauge invariant higher-spin models is used to control a number of degrees of freedom.

[ { "created": "Tue, 30 Jan 2007 15:51:08 GMT", "version": "v1" }, { "created": "Fri, 25 May 2007 08:34:03 GMT", "version": "v2" } ]

2008-11-26

[ [ "Skvortsov", "E. D.", "" ], [ "Vasiliev", "M. A.", "" ] ]

It is shown that a symmetric massless bosonic higher-spin field can be described by a traceless tensor field with reduced (transverse) gauge invariance. The Hamiltonian analysis of the transverse gauge invariant higher-spin models is used to control a number of degrees of freedom.

11.532821

8.32491

12.245133

9.74619

9.060099

9.241896

9.902312

8.815962

9.14523

12.266143

9.589975

8.986228

11.315732

9.864675

9.329091

9.785822

9.463669

9.428502

10.246829

11.221263

8.874778

1206.1027

Fidel Schaposnik

H. Montani and F. A. Schaposnik

Lifshitz fermionic theories with z=2 anisotropic scaling

Typos corrected, comment added

null

10.1103/PhysRevD.86.065024

null

hep-th

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

We construct fermionic Lagrangians with anisotropic scaling z=2, the natural counterpart of the usual z=2 Lifshitz field theories for scalar fields. We analyze the issue of chiral symmetry, construct the Noether axial currents and discuss the chiral anomaly giving explicit results for two-dimensional case. We also exploit the connection between detailed balance and the dynamics of Lifshitz theories to find different z=2 fermionic Lagrangians and construct their supersymmetric extensions.

[ { "created": "Tue, 5 Jun 2012 19:15:36 GMT", "version": "v1" }, { "created": "Thu, 14 Jun 2012 12:17:30 GMT", "version": "v2" } ]

2013-05-30

[ [ "Montani", "H.", "" ], [ "Schaposnik", "F. A.", "" ] ]

We construct fermionic Lagrangians with anisotropic scaling z=2, the natural counterpart of the usual z=2 Lifshitz field theories for scalar fields. We analyze the issue of chiral symmetry, construct the Noether axial currents and discuss the chiral anomaly giving explicit results for two-dimensional case. We also exploit the connection between detailed balance and the dynamics of Lifshitz theories to find different z=2 fermionic Lagrangians and construct their supersymmetric extensions.

14.560884

10.961879

13.565143

10.626401

10.462802

10.904405

11.518617

10.961879

11.561725

13.96862

11.73328

12.729282

14.652753

12.530413

12.006722

12.067884

11.454445

12.039861

12.5977

14.811505

12.38755

1606.05141

Minkyoo Kim

Comments on the slope function

9 pages, no figure

null

hep-th

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

The exact slope function was first proposed in $SL(2)$ sector and generalized to $SU(2)$ sector later. In this note, we consider the slope function in $SU(1|1)$ sector of ${\cal N}=4$ SYM. We derive the quantity through the method invented by N. Gromov and discuss about its validity. Further, we give comments on the slope function in deformed SYM.

[ { "created": "Thu, 16 Jun 2016 11:13:28 GMT", "version": "v1" } ]

2016-06-17

[ [ "Kim", "Minkyoo", "" ] ]

The exact slope function was first proposed in $SL(2)$ sector and generalized to $SU(2)$ sector later. In this note, we consider the slope function in $SU(1|1)$ sector of ${\cal N}=4$ SYM. We derive the quantity through the method invented by N. Gromov and discuss about its validity. Further, we give comments on the slope function in deformed SYM.

12.266277

9.392634

12.403887

8.750879

9.290563

9.883047

9.776815

8.68985

9.03294

12.295598

9.255366

9.375349

11.430182

9.288479

8.917608

9.164023

8.927752

8.921732

9.556118

11.60357

9.119421

1212.5835

Andrew K. Waldron

S. Deser and A. Waldron

Acausality of Massive Gravity

4 pages, LaTeX, references added, PRL version

Phys. Rev. Lett. 110, 111101 (2013)

10.1103/PhysRevLett.110.111101

null

hep-th gr-qc

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

We show, by analyzing its characteristics, that the ghost-free, 5 degree of freedom, Wess--Zumino massive gravity model admits superluminal shock wave solutions and thus is acausal. Ironically, this pathology arises from the very constraint that removes the (sixth) Boulware-Deser ghost mode.

[ { "created": "Sun, 23 Dec 2012 21:24:10 GMT", "version": "v1" }, { "created": "Thu, 24 Jan 2013 20:36:40 GMT", "version": "v2" }, { "created": "Fri, 22 Feb 2013 01:17:19 GMT", "version": "v3" } ]

2013-03-18

[ [ "Deser", "S.", "" ], [ "Waldron", "A.", "" ] ]

We show, by analyzing its characteristics, that the ghost-free, 5 degree of freedom, Wess--Zumino massive gravity model admits superluminal shock wave solutions and thus is acausal. Ironically, this pathology arises from the very constraint that removes the (sixth) Boulware-Deser ghost mode.

14.962308

11.320443

15.187795

12.645766

13.130645

12.344258

12.370948

13.548507

11.940436

14.066821

12.280241

12.322886

12.49546

11.992961

12.530227

12.364826

12.217745

12.215972

12.307019

12.727671

11.948077

hep-th/0302150

Changhyun Ahn

Changhyun Ahn and Yutaka Ookouchi

Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model

55pp; two paragraphs in page 19 added to clarify the relation between confinement index and multiplication map index, refs added and to appear in JHEP; Konishi anomaly equations corrected and some comments on the degenerated cases for SO(7) and SO(8) added

JHEP 0303 (2003) 010

10.1088/1126-6708/2003/03/010

KIAS-P03016, TIT-HEP-493

hep-th

null

We extend the results of Cachazo, Seiberg and Witten to N=1 supersymmetric gauge theories with gauge groups SO(2N), SO(2N+1) and Sp(2N). By taking the superpotential which is an arbitrary polynomial of adjoint matter \Phi as a small perturbation of N=2 gauge theories, we examine the singular points preserving N=1 supersymmetry in the moduli space where mutually local monopoles become massless. We derive the matrix model complex curve for the whole range of the degree of perturbed superpotential. Then we determine a generalized Konishi anomaly equation implying the orientifold contribution. We turn to the multiplication map and the confinement index K and describe both Coulomb branch and confining branch. In particular, we construct a multiplication map from SO(2N+1) to SO(2KN-K+2) where K is an even integer as well as a multiplication map from SO(2N) to SO(2KN-2K+2) (K is a positive integer), a map from SO(2N+1) to SO(2KN-K+2) (K is an odd integer) and a map from Sp(2N) to Sp(2KN+2K-2). Finally we analyze some examples which show some duality: the same moduli space has two different semiclassical limits corresponding to distinct gauge groups.

[ { "created": "Wed, 19 Feb 2003 13:55:47 GMT", "version": "v1" }, { "created": "Thu, 6 Mar 2003 12:00:38 GMT", "version": "v2" }, { "created": "Sun, 11 May 2003 08:58:26 GMT", "version": "v3" } ]

2009-11-10

[ [ "Ahn", "Changhyun", "" ], [ "Ookouchi", "Yutaka", "" ] ]

We extend the results of Cachazo, Seiberg and Witten to N=1 supersymmetric gauge theories with gauge groups SO(2N), SO(2N+1) and Sp(2N). By taking the superpotential which is an arbitrary polynomial of adjoint matter \Phi as a small perturbation of N=2 gauge theories, we examine the singular points preserving N=1 supersymmetry in the moduli space where mutually local monopoles become massless. We derive the matrix model complex curve for the whole range of the degree of perturbed superpotential. Then we determine a generalized Konishi anomaly equation implying the orientifold contribution. We turn to the multiplication map and the confinement index K and describe both Coulomb branch and confining branch. In particular, we construct a multiplication map from SO(2N+1) to SO(2KN-K+2) where K is an even integer as well as a multiplication map from SO(2N) to SO(2KN-2K+2) (K is a positive integer), a map from SO(2N+1) to SO(2KN-K+2) (K is an odd integer) and a map from Sp(2N) to Sp(2KN+2K-2). Finally we analyze some examples which show some duality: the same moduli space has two different semiclassical limits corresponding to distinct gauge groups.

8.168412

7.41909

9.541937

7.930839

7.533569

8.161242

8.195641

7.90965

7.455901

10.465076

7.717951

7.8889

8.543703

7.777789

7.849597

7.898588

7.740499

8.004119

7.916768

8.61849

7.950252

2108.07825

Sucheta Majumdar

Oscar Fuentealba, Marc Henneaux, Sucheta Majumdar, Javier Matulich, Turmoli Neogi

Local supersymmetry and the square roots of Bondi-Metzner-Sachs supertranslations

7 pages, no figures

null

10.1103/PhysRevD.104.L121702

null

hep-th gr-qc

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

Super-BMS$_4$ algebras -- also called BMS$_4$ superalgebras -- are graded extensions of the BMS$_4$ algebra. They can be of two different types: they can contain either a finite number or an infinite number of fermionic generators. We show in this letter that, with suitable boundary conditions on the graviton and gravitino fields at spatial infinity, supergravity on asymptotically flat spaces possesses as superalgebra of asymptotic symmetries a (nonlinear) super-BMS$_4$ algebra containing an infinite number of fermionic generators, which we denote SBMS$_4$. These boundary conditions are not only invariant under SBMS$_4$, but also lead to a fully consistent canonical description of the supersymmetries, which have in particular well-defined Hamiltonian generators that close according to the nonlinear SBMS$_4$ algebra. One finds in particular that the graded brackets between the fermionic generators yield all the BMS$_4$ supertranslations, of which they provide therefore "square roots".

[ { "created": "Tue, 17 Aug 2021 18:02:05 GMT", "version": "v1" } ]

2021-12-22

[ [ "Fuentealba", "Oscar", "" ], [ "Henneaux", "Marc", "" ], [ "Majumdar", "Sucheta", "" ], [ "Matulich", "Javier", "" ], [ "Neogi", "Turmoli", "" ] ]

Super-BMS$_4$ algebras -- also called BMS$_4$ superalgebras -- are graded extensions of the BMS$_4$ algebra. They can be of two different types: they can contain either a finite number or an infinite number of fermionic generators. We show in this letter that, with suitable boundary conditions on the graviton and gravitino fields at spatial infinity, supergravity on asymptotically flat spaces possesses as superalgebra of asymptotic symmetries a (nonlinear) super-BMS$_4$ algebra containing an infinite number of fermionic generators, which we denote SBMS$_4$. These boundary conditions are not only invariant under SBMS$_4$, but also lead to a fully consistent canonical description of the supersymmetries, which have in particular well-defined Hamiltonian generators that close according to the nonlinear SBMS$_4$ algebra. One finds in particular that the graded brackets between the fermionic generators yield all the BMS$_4$ supertranslations, of which they provide therefore "square roots".

7.129678

6.956303

7.475595

6.675422

6.4175

6.342722

6.761223

6.518852

6.39782

7.68968

6.922966

6.400118

6.634364

6.437693

6.345634

6.394088

6.524316

6.459576

6.464265

6.846614

6.488208

1802.07890

Manoel Messias Ferreira Junior

Rodolfo Casana, Manoel M. Ferreira, Jr., Let\'icia Lisboa-Santos, Frederico E.P. dos Santos, Marco Schreck

Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms

27 pages, revised version, unitarity analysis included. Accepted to publication in Physical Review D 2008

Phys. Rev. D 97, 115043 (2018)

10.1103/PhysRevD.97.115043

null

hep-th

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

In this paper, we investigate an electrodynamics in which the physical modes are coupled to a Lorentz-violating (LV) background by means of a higher-derivative term. We analyze the modes associated with the dispersion relations (DRs) obtained from the poles of the propagator. More specifically, we study Maxwell's electrodynamics modified by a LV operator of mass dimension 6. The modification has the form ${D_{\beta\alpha}}\partial_{\sigma}F^{\sigma\beta}\partial_{\lambda} F^{\lambda\alpha}$, i.e., it possesses two additional derivatives coupled to a \textit{CPT}-even tensor $D_{\beta\alpha}$ that plays the role of the fixed background. We first evaluate the propagator and obtain the dispersion relations of the theory. By doing so, we analyze some configurations of the fixed background and search for sectors where the energy is well-defined and causality is assured. A brief analysis of unitarity is included for particular configurations. Afterwards, we perform the same kind of analysis for a more general dimension-6 model. We conclude that the modes of both Lagrange densities are possibly plagued by physical problems, including causality and unitarity violation, and that signal propagation may become physically meaningful only in the high-momentum regime.

[ { "created": "Thu, 22 Feb 2018 03:11:26 GMT", "version": "v1" }, { "created": "Mon, 4 Jun 2018 20:53:28 GMT", "version": "v2" } ]

2018-07-04

[ [ "Casana", "Rodolfo", "" ], [ "Ferreira,", "Manoel M.", "Jr." ], [ "Lisboa-Santos", "Letícia", "" ], [ "Santos", "Frederico E. P. dos", "" ], [ "Schreck", "Marco", "" ] ]

In this paper, we investigate an electrodynamics in which the physical modes are coupled to a Lorentz-violating (LV) background by means of a higher-derivative term. We analyze the modes associated with the dispersion relations (DRs) obtained from the poles of the propagator. More specifically, we study Maxwell's electrodynamics modified by a LV operator of mass dimension 6. The modification has the form ${D_{\beta\alpha}}\partial_{\sigma}F^{\sigma\beta}\partial_{\lambda} F^{\lambda\alpha}$, i.e., it possesses two additional derivatives coupled to a \textit{CPT}-even tensor $D_{\beta\alpha}$ that plays the role of the fixed background. We first evaluate the propagator and obtain the dispersion relations of the theory. By doing so, we analyze some configurations of the fixed background and search for sectors where the energy is well-defined and causality is assured. A brief analysis of unitarity is included for particular configurations. Afterwards, we perform the same kind of analysis for a more general dimension-6 model. We conclude that the modes of both Lagrange densities are possibly plagued by physical problems, including causality and unitarity violation, and that signal propagation may become physically meaningful only in the high-momentum regime.

9.329381

9.749606

9.788491

8.59596

9.746648

9.350818

9.205817

9.74684

9.431528

10.078044

8.716594

8.867163

9.122648

8.772305

8.778193

8.792616

9.083263

8.736966

8.982564

9.069894

8.810307

1711.08467

S. Josephine Suh

Alexei Kitaev and S. Josephine Suh

The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual

57 pages plus appendices, 6 figures. v.2: minor correction, additional references. v.3: minor addition, additional references; v.4: minor corrections; v.5: JHEP version

null

10.1007/JHEP05(2018)183

null

hep-th cond-mat.str-el

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

We give an exposition of the SYK model with several new results. A non-local correction to the Schwarzian effective action is found. The same action is obtained by integrating out the bulk degrees of freedom in a certain variant of dilaton gravity. We also discuss general properties of out-of-time-order correlators.

[ { "created": "Wed, 22 Nov 2017 19:00:06 GMT", "version": "v1" }, { "created": "Mon, 27 Nov 2017 04:19:52 GMT", "version": "v2" }, { "created": "Tue, 12 Dec 2017 07:05:25 GMT", "version": "v3" }, { "created": "Wed, 28 Mar 2018 05:18:58 GMT", "version": "v4" }, { "created": "Thu, 24 Jan 2019 22:40:17 GMT", "version": "v5" } ]

2019-01-28

[ [ "Kitaev", "Alexei", "" ], [ "Suh", "S. Josephine", "" ] ]

We give an exposition of the SYK model with several new results. A non-local correction to the Schwarzian effective action is found. The same action is obtained by integrating out the bulk degrees of freedom in a certain variant of dilaton gravity. We also discuss general properties of out-of-time-order correlators.

12.180468

10.441154

11.587979

9.90871

10.665956

10.20243

10.913264

9.935845

9.786361

11.280405

9.57998

10.848037

11.138651

10.567234

10.950524

10.639616

10.812458

10.726806

10.655658

11.179802

10.895886

hep-th/9303149

null

J. Ambjorn, S. Jain and G. Thorleifsson

Baby universes in 2d quantum gravity

9 pages, 7 figures (available as hard copies on request). Latex, NBI-HE-93-4

Phys.Lett. B307 (1993) 34-39

10.1016/0370-2693(93)90188-N

null

hep-th hep-lat

null

We investigate the fractal structure of $2d$ quantum gravity, both for pure gravity and for gravity coupled to multiple gaussian fields and for gravity coupled to Ising spins. The roughness of the surfaces is described in terms of baby universes and using numerical simulations we measure their distribution which is related to the string susceptibility exponent $\g_{string}$.

[ { "created": "Fri, 26 Mar 1993 15:56:07 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ambjorn", "J.", "" ], [ "Jain", "S.", "" ], [ "Thorleifsson", "G.", "" ] ]

We investigate the fractal structure of $2d$ quantum gravity, both for pure gravity and for gravity coupled to multiple gaussian fields and for gravity coupled to Ising spins. The roughness of the surfaces is described in terms of baby universes and using numerical simulations we measure their distribution which is related to the string susceptibility exponent $\g_{string}$.

12.447452

10.231586

12.368635

11.076363

11.144864

11.67074

9.354195

10.88174

10.528526

14.51266

10.76976

11.756088

12.173962

11.895726

11.817347

11.604948

11.580239

10.702203

12.137606

12.592623

11.713732

1512.04018

Seyedeh Fatemeh Razavi Amri

Jafar Sadeghi, Fatemeh Razavi

Conformal Transformations, Rotating String and Effects of angular velocity on Accelerating Quark-Antiquark pair in $AdS_3$

15 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1412.2428 by other authors

null

hep-th

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

In order to study quark and anti-quark interaction, one should consider all effects of the medium in motion of the pair. Because the pair, is not produced at rest in QGP. So the velocity of the pair, has some effects on its interactions that should be taken into account. In this paper we apply some conformal transformations for a rotat- ing string dual to a rotating heavy quark in $AdS_3$ which construct an accelerating string dual to an accelerating quark and anti-quark pair. So, we can have a comparison between when pair has angular velocity or not. Then we can study effects of angular velocity on the accelerating quark and anti-quark which are constructed by performing special con- formal transformations, conformal SO(2,2) transformation and particular $SL(2,R)_L$ and $SL(2,R)_R$ transformation. The accelerating quark and anti-quark show different behavior with increasing in angular velocity. With useful numerical solutions we show that quark and anti-quark can deccelerate to achieve each other or accelerate to get away from each other. We will see variable behaviors of the pair in different transformations. There are various behavior like, permanent behavior, increase or decrese in acceleration or we will consider uncertain behavior.

[ { "created": "Sun, 13 Dec 2015 08:51:23 GMT", "version": "v1" }, { "created": "Sun, 20 Dec 2015 18:44:13 GMT", "version": "v2" } ]

2015-12-22

[ [ "Sadeghi", "Jafar", "" ], [ "Razavi", "Fatemeh", "" ] ]

In order to study quark and anti-quark interaction, one should consider all effects of the medium in motion of the pair. Because the pair, is not produced at rest in QGP. So the velocity of the pair, has some effects on its interactions that should be taken into account. In this paper we apply some conformal transformations for a rotat- ing string dual to a rotating heavy quark in $AdS_3$ which construct an accelerating string dual to an accelerating quark and anti-quark pair. So, we can have a comparison between when pair has angular velocity or not. Then we can study effects of angular velocity on the accelerating quark and anti-quark which are constructed by performing special con- formal transformations, conformal SO(2,2) transformation and particular $SL(2,R)_L$ and $SL(2,R)_R$ transformation. The accelerating quark and anti-quark show different behavior with increasing in angular velocity. With useful numerical solutions we show that quark and anti-quark can deccelerate to achieve each other or accelerate to get away from each other. We will see variable behaviors of the pair in different transformations. There are various behavior like, permanent behavior, increase or decrese in acceleration or we will consider uncertain behavior.

14.07505

14.548292

15.311954

13.990909

14.59796

14.418686

16.061171

13.599237

13.174132

15.721552

13.6252

13.696934

14.330215

14.157449

13.817977

13.554072

13.886224

13.390207

14.03941

14.651202

13.605637

hep-th/0512263

Vladimir N. Plechko

V.N.Plechko

Fermions and Correlations in the Two-Dimensional Ising Model

Proceedings of the Bogolyubov Conference on Problems in Mathematical and Theoretical Physics, September 2--6, 2004, MIRAS--JINR, Moscow--Dubna, Russia. LaTeX, 9 pages

Phys.Part.Nucl. 36 (2005) S203-S208

null

hep-th cond-mat.stat-mech hep-lat nlin.SI

null

The anticommuting analysis with Grassmann variables is applied to the two-dimensional Ising model in statistical mechanics. The discussion includes the transformation of the partition function into a Gaussian fermionic integral, the momentum-space representation and the spin-fermion correspondence at the level of the correlation functions.

[ { "created": "Tue, 20 Dec 2005 23:38:56 GMT", "version": "v1" }, { "created": "Fri, 23 Dec 2005 17:35:29 GMT", "version": "v2" } ]

2007-05-23

[ [ "Plechko", "V. N.", "" ] ]

The anticommuting analysis with Grassmann variables is applied to the two-dimensional Ising model in statistical mechanics. The discussion includes the transformation of the partition function into a Gaussian fermionic integral, the momentum-space representation and the spin-fermion correspondence at the level of the correlation functions.

11.783919

13.349792

12.820894

10.86198

10.911742

10.803413

11.816191

10.649179

11.479896

12.891837

11.124413

10.834725

11.683927

11.103106

10.801659

11.462491

11.026513

11.04238

12.000144

12.259331

10.726626

1106.1680

Peter Arnold

Peter Arnold and Diana Vaman

Some new results for "jet" stopping in AdS/CFT

Talk at Quark Matter 2011; this is an extended (8 page, 8 figure) version of what is being submitted (4 pages) to the conference proceedings

null

10.1088/0954-3899/38/12/124175

null

hep-th hep-ph nucl-th

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

We give a breezy, qualitative overview of some of our recent results on studying jet stopping in strongly-coupled plasmas using gauge-gravity duality. Previously, people have found that the maximum stopping distance in such plasmas scales with energy as E^{1/3}. We show that there is an important distinction between typical and maximum stopping distances. For the strongly-coupled excitations that we study, we find that the typical stopping distance scales with energy as E^{1/4}.

[ { "created": "Wed, 8 Jun 2011 22:05:13 GMT", "version": "v1" } ]

2015-05-28

[ [ "Arnold", "Peter", "" ], [ "Vaman", "Diana", "" ] ]

We give a breezy, qualitative overview of some of our recent results on studying jet stopping in strongly-coupled plasmas using gauge-gravity duality. Previously, people have found that the maximum stopping distance in such plasmas scales with energy as E^{1/3}. We show that there is an important distinction between typical and maximum stopping distances. For the strongly-coupled excitations that we study, we find that the typical stopping distance scales with energy as E^{1/4}.

7.992845

6.640947

6.708896

6.777129

6.608341

6.337124

6.27542

6.314118

7.087506

7.490854

6.709009

7.767306

7.747736

7.134799

7.937789

7.490767

7.346245

7.447911

7.303959

7.481359

7.675914

1003.4725

Dmytro Volin

Quantum integrability and functional equations

PhD thesis. Contains also unpublished previously results and introduction to the subject of integrability in terms of functional equations. 210 pages+references; v2: references added, typos corrected

J. Phys. A: Math. Theor. 44 (2011) 124003

10.1088/1751-8113/44/12/124003

null

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

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

In this thesis a general procedure to represent the integral Bethe Ansatz equations in the form of the Reimann-Hilbert problem is given. This allows us to study in simple way integrable spin chains in the thermodynamic limit. Based on the functional equations we give the procedure that allows finding the subleading orders in the solution of various integral equations solved to the leading order by the Wiener-Hopf technics. The integral equations are studied in the context of the AdS/CFT correspondence, where their solution allows verification of the integrability conjecture up to two loops of the strong coupling expansion. In the context of the two-dimensional sigma models we analyze the large-order behavior of the asymptotic perturbative expansion. Obtained experience with the functional representation of the integral equations allowed us also to solve explicitly the crossing equations that appear in the AdS/CFT spectral problem.

[ { "created": "Wed, 24 Mar 2010 19:53:58 GMT", "version": "v1" }, { "created": "Wed, 28 Apr 2010 02:38:39 GMT", "version": "v2" } ]

2015-03-13

[ [ "Volin", "Dmytro", "" ] ]

In this thesis a general procedure to represent the integral Bethe Ansatz equations in the form of the Reimann-Hilbert problem is given. This allows us to study in simple way integrable spin chains in the thermodynamic limit. Based on the functional equations we give the procedure that allows finding the subleading orders in the solution of various integral equations solved to the leading order by the Wiener-Hopf technics. The integral equations are studied in the context of the AdS/CFT correspondence, where their solution allows verification of the integrability conjecture up to two loops of the strong coupling expansion. In the context of the two-dimensional sigma models we analyze the large-order behavior of the asymptotic perturbative expansion. Obtained experience with the functional representation of the integral equations allowed us also to solve explicitly the crossing equations that appear in the AdS/CFT spectral problem.

10.271366

11.079287

12.512685

10.317644

11.627517

10.439668

11.028467

11.008496

10.280585

12.445882

10.315839

9.988567

10.420682

9.718796

10.156417

10.121668

10.098598

10.120416

10.031349

10.780256

10.077533

1607.01125

Daeho Ro

Daeho Ro, Wonwoo Lee, Bum-Hoon Lee

Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation

9 pages, 9 figures, Typo corrections, Reference added, Published version

Phys. Rev. D 94, 104067 (2016)

10.1103/PhysRevD.94.104067

APCTP Pre2016-017

hep-th

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

We investigate various types of Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation, which describe the decay of the vacuum state at a hilltop potential through the tunneling without a barrier. It is shown that the vacuum states are modified by the non-minimally coupled higher-curvature term. Accordingly, we present the new type of solutions describing the tunneling from new vacuum states in anti-de Sitter and de Sitter backgrounds. The decay probabilities of vacuum states are also influenced. Consequently, we show that the semiclassical exponents can be decreased for specific parameter ranges, which make the tunneling probabilities enhanced.

[ { "created": "Tue, 5 Jul 2016 06:11:22 GMT", "version": "v1" }, { "created": "Sat, 19 Nov 2016 06:09:14 GMT", "version": "v2" } ]

2016-12-07

[ [ "Ro", "Daeho", "" ], [ "Lee", "Wonwoo", "" ], [ "Lee", "Bum-Hoon", "" ] ]

We investigate various types of Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation, which describe the decay of the vacuum state at a hilltop potential through the tunneling without a barrier. It is shown that the vacuum states are modified by the non-minimally coupled higher-curvature term. Accordingly, we present the new type of solutions describing the tunneling from new vacuum states in anti-de Sitter and de Sitter backgrounds. The decay probabilities of vacuum states are also influenced. Consequently, we show that the semiclassical exponents can be decreased for specific parameter ranges, which make the tunneling probabilities enhanced.

14.20857

12.849951

14.200465

12.182666

12.244466

12.791065

12.830346

11.786411

11.531767

13.634833

13.322126

12.373458

13.398542

12.527269

12.67841

12.47239

12.449389

12.874088

12.862423

13.151426

12.191418

hep-th/9907030

T. Damour

Thibault Damour and Gabriele Veneziano

Self-gravitating fundamental strings and black-holes

28 pages, Revtex, minor misprints and references corrected

Nucl.Phys. B568 (2000) 93-119

10.1016/S0550-3213(99)00596-9

IHES/P/99/54

hep-th gr-qc

null

The configuration of typical highly excited (M >> M_s ~ (alpha')^{-1/2}) string states is considered as the string coupling g is adiabatically increased. The size distribution of very massive single string states is studied and the mass shift, due to long-range gravitational, dilatonic and axionic attraction, is estimated. By combining the two effects, in any number of spatial dimensions d, the most probable size of a string state becomes of order l_s = sqrt{2 alpha'} when g^2 M / M_s ~ 1. Depending on the dimension d, the transition between a random-walk-size string state (for low g) and a compact (~ l_s) string state (when g^2 M / M_s ~ 1) can be very gradual (d=3), fast but continuous (d=4), or discontinuous (d > 4). Those compact string states look like nuggets of an ultradense state of string matter, with energy density rho ~ g^{-2} M_s^{d+1}. Our results extend and clarify previous work by Susskind, and by Horowitz and Polchinski, on the correspondence between self-gravitating string states and black holes.

[ { "created": "Tue, 6 Jul 1999 14:52:32 GMT", "version": "v1" }, { "created": "Wed, 15 Dec 1999 12:05:24 GMT", "version": "v2" } ]

2009-10-31

[ [ "Damour", "Thibault", "" ], [ "Veneziano", "Gabriele", "" ] ]

The configuration of typical highly excited (M >> M_s ~ (alpha')^{-1/2}) string states is considered as the string coupling g is adiabatically increased. The size distribution of very massive single string states is studied and the mass shift, due to long-range gravitational, dilatonic and axionic attraction, is estimated. By combining the two effects, in any number of spatial dimensions d, the most probable size of a string state becomes of order l_s = sqrt{2 alpha'} when g^2 M / M_s ~ 1. Depending on the dimension d, the transition between a random-walk-size string state (for low g) and a compact (~ l_s) string state (when g^2 M / M_s ~ 1) can be very gradual (d=3), fast but continuous (d=4), or discontinuous (d > 4). Those compact string states look like nuggets of an ultradense state of string matter, with energy density rho ~ g^{-2} M_s^{d+1}. Our results extend and clarify previous work by Susskind, and by Horowitz and Polchinski, on the correspondence between self-gravitating string states and black holes.

9.768316

8.739288

10.006814

8.605394

9.909187

9.528661

9.80047

9.555171

9.600034

10.793631

9.464876

8.755499

9.549941

8.753486

9.101755

8.840815

9.054234

8.986389

9.063776

9.430602

9.060336

1912.13474

Jun Nian

Kerr Black Hole Evaporation and Page Curve

15 pages, 18 figures; V2: published version, more computational details added in Sec. 3, and a new reference [33] added

null

LCTP-19-38

hep-th gr-qc

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

We compute the black hole entropy and the entanglement entropy of Hawking radiations due to photons during the evaporation of a 4d asymptotically flat Kerr black hole. The Page curve for the Kerr black hole is obtained in the original way \`a la Page, and it qualitatively mimics the curve for the Schwarzschild black hole but has some new features.

[ { "created": "Tue, 31 Dec 2019 18:20:29 GMT", "version": "v1" }, { "created": "Sat, 18 May 2024 10:45:58 GMT", "version": "v2" } ]

2024-05-21

[ [ "Nian", "Jun", "" ] ]

We compute the black hole entropy and the entanglement entropy of Hawking radiations due to photons during the evaporation of a 4d asymptotically flat Kerr black hole. The Page curve for the Kerr black hole is obtained in the original way \`a la Page, and it qualitatively mimics the curve for the Schwarzschild black hole but has some new features.

9.970551

8.108705

8.558335

8.414332

8.45233

7.952653

9.218114

8.292175

8.869944

9.619255

8.616047

9.033993

8.593217

8.71259

8.994359

8.627102

8.691924

8.646644

8.939249

8.894633

8.604757

hep-th/0609223

Jorge Ananias Neto

An improved Gauge Unfixing formalism and the Abelian Pure Chern Simons Theory

revised version. To appear in Brazilian Journal of Physics

Braz.J.Phys.37:1106-1110,2007

10.1590/S0103-97332007000700005

null

hep-th

null

We propose a variant scheme of the Gauge Unfixing formalism which modifies directly the original phase space variables of a constrained system. These new variables are gauge invariant quantities. We apply our procedure in a mixed constrained system that is the Abelian Pure Chern Simons Theory where several gains are obtained. In particular, from the gauge invariant Hamiltonian and using the inverse Legendre transformation, we obtain the same initial Abelian Pure Chern Simons Lagrangian as the gauge invariant Lagrangian. This result shows that the gauge symmetry of the action is certainly preserved.

[ { "created": "Fri, 29 Sep 2006 18:33:03 GMT", "version": "v1" }, { "created": "Thu, 5 Jul 2007 18:27:52 GMT", "version": "v2" } ]

2011-08-04

[ [ "Neto", "Jorge Ananias", "" ] ]

We propose a variant scheme of the Gauge Unfixing formalism which modifies directly the original phase space variables of a constrained system. These new variables are gauge invariant quantities. We apply our procedure in a mixed constrained system that is the Abelian Pure Chern Simons Theory where several gains are obtained. In particular, from the gauge invariant Hamiltonian and using the inverse Legendre transformation, we obtain the same initial Abelian Pure Chern Simons Lagrangian as the gauge invariant Lagrangian. This result shows that the gauge symmetry of the action is certainly preserved.

14.620394

13.88318

14.780065

12.729124

13.282452

13.864903

14.888891

13.021394

12.816863

17.953798

12.402536

13.443805

14.637714

13.287214

13.716493

12.888181

13.141024

12.870224

13.89177

15.362597

12.902422

0802.0775

Ed Threlfall

Nick Evans and Ed Threlfall

Mesonic quasinormal modes of the Sakai-Sugimoto model at high temperature

7 pages with 6 eps figures, typos corrected

Phys.Rev.D77:126008,2008

10.1103/PhysRevD.77.126008

NI-08-006, SHEP-08-07

hep-th

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

We examine the mesonic thermal spectrum of the Sakai-Sugimoto model of holographic QCD by finding the quasinormal frequencies of the supergravity dual. If flavour is added using D8 and anti-D8 branes there exist embeddings where the D-brane worldvolume contains a black hole. For these embeddings (the high-temperature phase of the Sakai-Sugimoto model) we determine the quasinormal spectra of scalar and vector mesons arising from the worldvolume DBI action of the D-brane. We stress the importance of a coordinate change that makes the in-falling quasinormal modes regular at the horizon allowing a simple numerical shooting technique. Finally we examine the effect of finite spatial momentum on quasinormal spectra.

[ { "created": "Wed, 6 Feb 2008 11:12:50 GMT", "version": "v1" }, { "created": "Mon, 7 Apr 2008 12:59:08 GMT", "version": "v2" } ]

2008-11-26

[ [ "Evans", "Nick", "" ], [ "Threlfall", "Ed", "" ] ]

We examine the mesonic thermal spectrum of the Sakai-Sugimoto model of holographic QCD by finding the quasinormal frequencies of the supergravity dual. If flavour is added using D8 and anti-D8 branes there exist embeddings where the D-brane worldvolume contains a black hole. For these embeddings (the high-temperature phase of the Sakai-Sugimoto model) we determine the quasinormal spectra of scalar and vector mesons arising from the worldvolume DBI action of the D-brane. We stress the importance of a coordinate change that makes the in-falling quasinormal modes regular at the horizon allowing a simple numerical shooting technique. Finally we examine the effect of finite spatial momentum on quasinormal spectra.

8.538897

9.159347

9.812837

8.397541

8.058279

8.490825

8.614373

8.896492

8.921556

10.324938

8.319898

8.495008

9.011595

8.652622

8.278243

8.360799

8.542709

8.487192

8.377005

8.799419

8.143573

1607.02084

Davide Fioravanti

Alfredo Bonini, Davide Fioravanti, Simone Piscaglia and Marco Rossi

The contribution of scalars to ${\cal N}=4$ SYM amplitudes

12 pages, typos corrected, final comments and formula (implicit in the previous version) added, published version (Phys. Rev. D)

Phys. Rev. D 95, 041902 (2017)

10.1103/PhysRevD.95.041902

null

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

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

We analyse the contribution of $2n$ scalars to the Operator Product Expansion series for MHV gluon scattering amplitudes/polygonal Wilson loops in planar ${\cal N}=4$ SYM. Hence, we sum up on $2n$ for large coupling $\lambda$: the logarithm of the amplitude is proportional to $\sqrt{\lambda}$, thus competing, unexpectedly, with the famous classical contribution. We give explicit expressions for the first terms at large $\lambda$ in case of two and four scalars. For finalising this analysis, we find profitable an explicit computation of the $2n$-scalar term at any coupling by means of Young tableaux, paralleling, under certain aspects, the Nekrasov-Okounkov expressions for $\mathcal N =2$ SYM prepotential.

[ { "created": "Thu, 7 Jul 2016 17:15:00 GMT", "version": "v1" }, { "created": "Fri, 18 Nov 2016 18:25:32 GMT", "version": "v2" }, { "created": "Mon, 30 Jan 2017 14:46:55 GMT", "version": "v3" } ]

2017-03-01

[ [ "Bonini", "Alfredo", "" ], [ "Fioravanti", "Davide", "" ], [ "Piscaglia", "Simone", "" ], [ "Rossi", "Marco", "" ] ]

We analyse the contribution of $2n$ scalars to the Operator Product Expansion series for MHV gluon scattering amplitudes/polygonal Wilson loops in planar ${\cal N}=4$ SYM. Hence, we sum up on $2n$ for large coupling $\lambda$: the logarithm of the amplitude is proportional to $\sqrt{\lambda}$, thus competing, unexpectedly, with the famous classical contribution. We give explicit expressions for the first terms at large $\lambda$ in case of two and four scalars. For finalising this analysis, we find profitable an explicit computation of the $2n$-scalar term at any coupling by means of Young tableaux, paralleling, under certain aspects, the Nekrasov-Okounkov expressions for $\mathcal N =2$ SYM prepotential.

15.329953

12.84395

16.713579

12.901047

13.020963

13.665538

13.919243

12.857695

12.856956

17.693069

13.078081

14.023646

14.450061

13.194661

13.415408

14.140845

13.769212

14.163136

13.399616

14.035303

13.534352

1004.0611

Bayram Tekin

Ibrahim Gullu, Tahsin Cagri Sisman, Bayram Tekin

Born-Infeld-Horava gravity

7 pages, typo corrected, matches the published version

Phys.Rev.D81:104018,2010

10.1103/PhysRevD.81.104018

null

hep-th gr-qc

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

We define various Born-Infeld gravity theories in 3+1 dimensions which reduce to Horava's model at the quadratic level in small curvature expansion. In their exact forms, our actions provide z->(infinity) extensions of Horava's gravity, but when small curvature expansion is used, they reproduce finite z models, including some half-integer ones.

[ { "created": "Mon, 5 Apr 2010 11:02:11 GMT", "version": "v1" }, { "created": "Fri, 30 Apr 2010 19:59:25 GMT", "version": "v2" }, { "created": "Wed, 23 Jun 2010 13:41:58 GMT", "version": "v3" } ]

2010-06-24

[ [ "Gullu", "Ibrahim", "" ], [ "Sisman", "Tahsin Cagri", "" ], [ "Tekin", "Bayram", "" ] ]

We define various Born-Infeld gravity theories in 3+1 dimensions which reduce to Horava's model at the quadratic level in small curvature expansion. In their exact forms, our actions provide z->(infinity) extensions of Horava's gravity, but when small curvature expansion is used, they reproduce finite z models, including some half-integer ones.

18.939381

17.947901

21.408018

16.381968

19.055849

20.312929

18.921755

16.60766

17.13133

20.51008

16.66972

18.816898

18.553263

17.608

17.482008

17.731833

17.609856

17.471914

16.895065

18.619226

16.983727

hep-th/0509200

Massimiliano Rinaldi

Olindo Corradini and Massimiliano Rinaldi

Self-T-Dual Brane Cosmology and the Cosmological Constant Problem

Minor corrections, comments & references added. Accepted for publication

JCAP 0601 (2006) 020

10.1088/1475-7516/2006/01/020

null

hep-th gr-qc

null

We consider a codimension-one brane embedded in a gravity-dilaton bulk action, whose symmetries are compatible with T-duality along the space-like directions parallel to the brane, and the bulk time-like direction. The equations of motions in the string frame allow for a smooth background obtained by the union of two symmetric patches of AdS space. The Poincar\'{e} invariance of the solution appears to hold independently of the value of the brane vacuum energy, through a self-tuning property of the dilaton ground state. Moreover, the effective cosmology displays a bounce, at which the scale factor does not shrink to zero. Finally, by exploiting the T-duality symmetry, we show how to construct an ever-expanding Universe, along the lines of the Pre-Big Bang scenario.

[ { "created": "Tue, 27 Sep 2005 15:11:15 GMT", "version": "v1" }, { "created": "Wed, 12 Oct 2005 10:31:56 GMT", "version": "v2" }, { "created": "Wed, 25 Jan 2006 09:26:58 GMT", "version": "v3" } ]

2009-11-11

[ [ "Corradini", "Olindo", "" ], [ "Rinaldi", "Massimiliano", "" ] ]

We consider a codimension-one brane embedded in a gravity-dilaton bulk action, whose symmetries are compatible with T-duality along the space-like directions parallel to the brane, and the bulk time-like direction. The equations of motions in the string frame allow for a smooth background obtained by the union of two symmetric patches of AdS space. The Poincar\'{e} invariance of the solution appears to hold independently of the value of the brane vacuum energy, through a self-tuning property of the dilaton ground state. Moreover, the effective cosmology displays a bounce, at which the scale factor does not shrink to zero. Finally, by exploiting the T-duality symmetry, we show how to construct an ever-expanding Universe, along the lines of the Pre-Big Bang scenario.

10.652209

10.223629

10.034778

9.459473

10.081178

9.883332

11.000326

9.850947

9.557158

10.45827

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9.807099

9.734962

9.997919

9.935053

9.703199

9.950073

9.727887

9.652463

10.097911

9.681302

hep-th/9301056

null

Haye Hinrichsen and Vladimir Rittenberg

Quantum Groups, Correlation Functions and Infrared Divergences

7 pages, BONN-HE-93-02

Phys.Lett. B304 (1993) 115-120

10.1016/0370-2693(93)91409-G

null

hep-th

null

We show in two simple examples that for one-dimensional quantum chains with quantum group symmetries, the correlation functions of local operators are, in general, infrared divergent. If one considers, however, correlation functions invariant under the quantum group, the divergences cancel out.

[ { "created": "Thu, 14 Jan 1993 12:54:25 GMT", "version": "v1" } ]

2009-10-22

[ [ "Hinrichsen", "Haye", "" ], [ "Rittenberg", "Vladimir", "" ] ]

We show in two simple examples that for one-dimensional quantum chains with quantum group symmetries, the correlation functions of local operators are, in general, infrared divergent. If one considers, however, correlation functions invariant under the quantum group, the divergences cancel out.

9.455638

8.217269

9.891833

7.31145

7.382565

7.447814

7.864891

7.892374

8.284729

8.949119

8.074843

8.108917

9.126133

8.150764

7.986262

8.189211

7.785769

8.13969

8.200354

8.651443

7.784217

1701.05489

Tapobrata Sarkar

Pratim Roy, Tapobrata Sarkar

A Note on Subregion Holographic Complexity

1 + 19 Pages, 4 figures

Phys. Rev. D 96, 026022 (2017)

10.1103/PhysRevD.96.026022

null

hep-th

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

The volume inside a Ryu-Takayanagi surface has been conjectured to be related to the complexity of subregions of the boundary field theory. Here, we study the behaviour of this volume analytically, when the entangling surface has a strip geometry. We perform systematic expansions in the low and high temperature regimes for AdS-Schwarzschild and RN-AdS black holes. In the latter regime, we point out spurious divergences that might occur due to the limitations of a near horizon expansion. A similar analysis is performed for extremal black holes, and at large charge, we find that there might be some new features of the volume as compared to the area. Finally, we numerically study a four dimensional RN-AdS black hole in global AdS, the entangling surface being a sphere. We find that the holographic complexity captures essentially the same information as the entanglement entropy, as far as phase transitions are concerned.

[ { "created": "Thu, 19 Jan 2017 15:59:06 GMT", "version": "v1" } ]

2017-08-02

[ [ "Roy", "Pratim", "" ], [ "Sarkar", "Tapobrata", "" ] ]

The volume inside a Ryu-Takayanagi surface has been conjectured to be related to the complexity of subregions of the boundary field theory. Here, we study the behaviour of this volume analytically, when the entangling surface has a strip geometry. We perform systematic expansions in the low and high temperature regimes for AdS-Schwarzschild and RN-AdS black holes. In the latter regime, we point out spurious divergences that might occur due to the limitations of a near horizon expansion. A similar analysis is performed for extremal black holes, and at large charge, we find that there might be some new features of the volume as compared to the area. Finally, we numerically study a four dimensional RN-AdS black hole in global AdS, the entangling surface being a sphere. We find that the holographic complexity captures essentially the same information as the entanglement entropy, as far as phase transitions are concerned.

8.41284

8.030961

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8.737258

8.093373

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8.106709

7.877925

7.975741

8.030682

7.790179

7.938022

8.079423

7.898481

1204.0395

El Hassan Saidi

Mutation Symmetries in BPS Quiver Theories: Building the BPS Spectra

LaTeX, 98 pages, 18 figures, Appendix I on groupoids added

Journal of High Energy Physics, 2012, Volume 2012, Number 8, 18

10.1007/JHEP08(2012)018

null

hep-th

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

We study the basic features of BPS quiver mutations in 4D $\mathcal{N}=2$ supersymmetric quantum field theory with $G=ADE$ gauge symmetries.\ We show, for these gauge symmetries, that there is an isotropy group $\mathcal{G}_{Mut}^{G}$ associated to a set of quiver mutations capturing information about the BPS spectra. In the strong coupling limit, it is shown that BPS chambers correspond to finite and closed groupoid orbits with an isotropy symmetry group $\mathcal{G}_{strong}^{G}$ isomorphic to the discrete dihedral groups $Dih_{2h_{G}}$ contained in Coxeter$(G) $ with $% h_{G}$ the Coxeter number of G. These isotropy symmetries allow to determine the BPS spectrum of the strong coupling chamber; and give another way to count the total number of BPS and anti-BPS states of $\mathcal{N}=2$ gauge theories. We also build the matrix realization of these mutation groups $% \mathcal{G}_{strong}^{G}$ from which we read directly the electric-magnetic charges of the BPS and anti-BPS states of $\mathcal{N}=2$ QFT$_{4}$ as well as their matrix intersections. We study as well the quiver mutation symmetries in the weak coupling limit and give their links with infinite Coxeter groups. We show amongst others that $\mathcal{G}_{weak}^{su_{2}}$ is contained in ${GL}({2,}\mathbb{Z}) $; and isomorphic to the infinite Coxeter ${I_{2}^{\infty}}$. Other issues such as building $\mathcal{G}%_{weak}^{so_{4}}$ and $\mathcal{G}_{weak}^{su_{3}}$ are also studied.

[ { "created": "Mon, 2 Apr 2012 12:55:45 GMT", "version": "v1" }, { "created": "Tue, 14 Aug 2012 15:12:08 GMT", "version": "v2" } ]

2015-06-04

[ [ "Saidi", "El Hassan", "" ] ]

We study the basic features of BPS quiver mutations in 4D $\mathcal{N}=2$ supersymmetric quantum field theory with $G=ADE$ gauge symmetries.\ We show, for these gauge symmetries, that there is an isotropy group $\mathcal{G}_{Mut}^{G}$ associated to a set of quiver mutations capturing information about the BPS spectra. In the strong coupling limit, it is shown that BPS chambers correspond to finite and closed groupoid orbits with an isotropy symmetry group $\mathcal{G}_{strong}^{G}$ isomorphic to the discrete dihedral groups $Dih_{2h_{G}}$ contained in Coxeter$(G) $ with $% h_{G}$ the Coxeter number of G. These isotropy symmetries allow to determine the BPS spectrum of the strong coupling chamber; and give another way to count the total number of BPS and anti-BPS states of $\mathcal{N}=2$ gauge theories. We also build the matrix realization of these mutation groups $% \mathcal{G}_{strong}^{G}$ from which we read directly the electric-magnetic charges of the BPS and anti-BPS states of $\mathcal{N}=2$ QFT$_{4}$ as well as their matrix intersections. We study as well the quiver mutation symmetries in the weak coupling limit and give their links with infinite Coxeter groups. We show amongst others that $\mathcal{G}_{weak}^{su_{2}}$ is contained in ${GL}({2,}\mathbb{Z}) $; and isomorphic to the infinite Coxeter ${I_{2}^{\infty}}$. Other issues such as building $\mathcal{G}%_{weak}^{so_{4}}$ and $\mathcal{G}_{weak}^{su_{3}}$ are also studied.

7.698299

8.53537

8.580542

7.987088

8.467996

8.276676

8.169318

7.995933

7.727098

9.035966

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8.08557

7.758609

7.708092

7.755455

7.681304

7.726291

7.539621

8.515568

7.668292

1912.10425

Urs Schreiber

Hisham Sati, Urs Schreiber

Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams

62 pages; v2: section 4 expanded and introduction re-arranged; v3: discussion of M2/M5-brane states added

Adv. Theor. Math. Phys., Vol 26, No 4 (2022) 957-1051

10.4310/ATMP.2022.v26.n4.a4

null

hep-th math.AT math.GT math.QA

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

We introduce a differential refinement of Cohomotopy cohomology theory, defined on Penrose diagram spacetimes, whose cocycle spaces are unordered configuration spaces of points. First we prove that brane charge quantization in this differential 4-Cohomotopy theory implies intersecting p/(p+2)-brane moduli given by ordered configurations of points in the transversal 3-space. Then we show that the higher (co-)observables on these brane moduli, conceived as the (co-)homology of the Cohomotopy cocycle space, are given by weight systems on horizontal chord diagrams and reflect a multitude of effects expected in the microscopic quantum theory of Dp/D(p+2)-brane intersections: condensation to stacks of coincident branes and their Chan-Paton factors, BMN matrix model and fuzzy funnel states, M2-brane 3-algebras, the Hanany-Witten rules, AdS3-gravity observables, supersymmetric indices of Coulomb branches as well as gauge/gravity duality between all these. We discuss this in the context of the hypothesis that the M-theory C-field is charge-quantized in Cohomotopy theory.

[ { "created": "Sun, 22 Dec 2019 11:44:09 GMT", "version": "v1" }, { "created": "Thu, 16 Jan 2020 09:19:53 GMT", "version": "v2" }, { "created": "Mon, 3 Feb 2020 13:48:23 GMT", "version": "v3" } ]

2024-02-07

[ [ "Sati", "Hisham", "" ], [ "Schreiber", "Urs", "" ] ]

We introduce a differential refinement of Cohomotopy cohomology theory, defined on Penrose diagram spacetimes, whose cocycle spaces are unordered configuration spaces of points. First we prove that brane charge quantization in this differential 4-Cohomotopy theory implies intersecting p/(p+2)-brane moduli given by ordered configurations of points in the transversal 3-space. Then we show that the higher (co-)observables on these brane moduli, conceived as the (co-)homology of the Cohomotopy cocycle space, are given by weight systems on horizontal chord diagrams and reflect a multitude of effects expected in the microscopic quantum theory of Dp/D(p+2)-brane intersections: condensation to stacks of coincident branes and their Chan-Paton factors, BMN matrix model and fuzzy funnel states, M2-brane 3-algebras, the Hanany-Witten rules, AdS3-gravity observables, supersymmetric indices of Coulomb branches as well as gauge/gravity duality between all these. We discuss this in the context of the hypothesis that the M-theory C-field is charge-quantized in Cohomotopy theory.

10.623642

12.626925

14.089359

12.080807

12.181557

13.080476

12.214661

12.23201

11.787483

15.755274

12.027744

11.002107

11.764127

10.647481

11.188658

10.892964

11.307188

10.928655

10.841376

11.719699

10.864889

1406.3547

Fabiano M. Andrade

Fabiano M. Andrade and Edilberto O. Silva

The 2D $\kappa$-Dirac oscillator

4 pages, 2 figures, Accepted for publication in Physics Letters B

Phys. Lett. B 738, 44 (2014)

10.1016/j.physletb.2014.09.017

null

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

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

In this Letter, 2D Dirac oscillator in the quantum deformed framework generated by the $\kappa$-Poincar\'{e}-Hopf algebra is considered. The problem is formulated using the $\kappa$-deformed Dirac equation. The resulting theory reveals that the energies and wave functions of the oscillator are modified by the deformation parameter.

[ { "created": "Fri, 13 Jun 2014 14:24:16 GMT", "version": "v1" }, { "created": "Thu, 4 Sep 2014 14:26:18 GMT", "version": "v2" } ]

2014-09-24

[ [ "Andrade", "Fabiano M.", "" ], [ "Silva", "Edilberto O.", "" ] ]

In this Letter, 2D Dirac oscillator in the quantum deformed framework generated by the $\kappa$-Poincar\'{e}-Hopf algebra is considered. The problem is formulated using the $\kappa$-deformed Dirac equation. The resulting theory reveals that the energies and wave functions of the oscillator are modified by the deformation parameter.

7.804681

5.424309

6.929318

5.696169

6.139243

5.027185

5.355221

6.034394

5.476448

7.154876

5.562891

5.827724

6.544198

6.31463

6.083725

6.17155

6.209022

6.167157

6.275167

6.691495

6.157042

hep-th/0008023

Yasuaki Hikida

Yasuaki Hikida, Masatoshi Nozaki and Tadashi Takayanagi

Tachyon Condensation on Fuzzy Sphere and Noncommutative Solitons

16 pages,2 figures,minor changes,references added,to appear in Nucl.Phys.B

Nucl.Phys. B595 (2001) 319-331

10.1016/S0550-3213(00)00693-3

UT-903

hep-th

null

We study a brane-antibrane system and a non-BPS D-brane in SU(2) WZW model. We first discuss the tachyon condensation using the vertex operator formalism and find the generation of codimension two D-branes after the condensation. Our result is consistent with the recent interpretation that a D2-brane is a bound state of D0-branes. Then we investigate the world volume effective theory on a non-BPS D-brane. It becomes a field theory on the ``fuzzy sphere'' when the level is sent to infinity. The most interesting feature is that there exist the noncommutative tachyonic solitons and we can identify them with D0-branes. We also discuss the brane-antibrane system from the world volume point of view and comment on the relation to the noncommutative version of the index theorem.

[ { "created": "Wed, 2 Aug 2000 14:16:54 GMT", "version": "v1" }, { "created": "Wed, 16 Aug 2000 08:56:35 GMT", "version": "v2" }, { "created": "Wed, 6 Dec 2000 07:17:51 GMT", "version": "v3" } ]

2009-10-31

[ [ "Hikida", "Yasuaki", "" ], [ "Nozaki", "Masatoshi", "" ], [ "Takayanagi", "Tadashi", "" ] ]

We study a brane-antibrane system and a non-BPS D-brane in SU(2) WZW model. We first discuss the tachyon condensation using the vertex operator formalism and find the generation of codimension two D-branes after the condensation. Our result is consistent with the recent interpretation that a D2-brane is a bound state of D0-branes. Then we investigate the world volume effective theory on a non-BPS D-brane. It becomes a field theory on the ``fuzzy sphere'' when the level is sent to infinity. The most interesting feature is that there exist the noncommutative tachyonic solitons and we can identify them with D0-branes. We also discuss the brane-antibrane system from the world volume point of view and comment on the relation to the noncommutative version of the index theorem.

6.258794

5.570732

6.830148

5.691788

5.435934

5.774137

5.862936

5.445897

5.643579

6.826447

5.481379

5.791232

6.482658

5.893261

5.91617

5.980319

5.743801

5.850805

5.977229

6.435817

5.994105

2012.04635

Abdulrahim Al Balushi

Abdulrahim Al Balushi, Zhencheng Wang, Donald Marolf

Traversability of Multi-Boundary Wormholes

v3, fixed some typos

null

10.1007/JHEP04(2021)083

null

hep-th

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

We generalize the Gao-Jafferis-Wall construction of traversable two-sided wormholes to multi-boundary wormholes. In our construction, we take the background spacetime to be multi-boundary black holes in AdS$_3$. We work in the hot limit where the dual CFT state in certain regions locally resembles the thermofield double state. Furthermore, in these regions, the hot limit makes the causal shadow exponentially small. Based on these two features of the hot limit, and with the three-boundary wormhole as our main example, we show that traversability between any two asymptotic regions in a multi-boundary wormhole can be triggered using a double-trace deformation. In particular, the two boundary regions need not have the same temperature and angular momentum. We discuss the non-trivial angular dependence of traversability in our construction, as well as the effect of the causal shadow region.

[ { "created": "Tue, 8 Dec 2020 18:53:45 GMT", "version": "v1" }, { "created": "Tue, 12 Jan 2021 23:10:33 GMT", "version": "v2" }, { "created": "Fri, 9 Apr 2021 18:04:36 GMT", "version": "v3" } ]

2021-04-28

[ [ "Balushi", "Abdulrahim Al", "" ], [ "Wang", "Zhencheng", "" ], [ "Marolf", "Donald", "" ] ]

We generalize the Gao-Jafferis-Wall construction of traversable two-sided wormholes to multi-boundary wormholes. In our construction, we take the background spacetime to be multi-boundary black holes in AdS$_3$. We work in the hot limit where the dual CFT state in certain regions locally resembles the thermofield double state. Furthermore, in these regions, the hot limit makes the causal shadow exponentially small. Based on these two features of the hot limit, and with the three-boundary wormhole as our main example, we show that traversability between any two asymptotic regions in a multi-boundary wormhole can be triggered using a double-trace deformation. In particular, the two boundary regions need not have the same temperature and angular momentum. We discuss the non-trivial angular dependence of traversability in our construction, as well as the effect of the causal shadow region.

9.644007

8.5679

10.834346

8.805688

8.369219

9.130392

8.968203

9.37226

8.885709

12.218947

8.871267

9.032599

9.131701

8.956301

8.568678

8.653534

8.778952

8.756452

9.064694

9.235353

8.754817

2006.06247

Yutaka Sakamura

KK-mode contribution to the crossover scale for the brane-induced force

28 pages, no figure

null

KEK-TH-2228

hep-th

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

We discuss contributions of the KK modes to the crossover length scale $r_{\rm c}$ for the brane-induced force when the brane is given by a solitonic background field. We work in a 5D scalar model with a domain-wall background that mimics the DGP model. In spite of the infinite number of the KK modes, the crossover scale remains finite due to the warping effect on the ambient space of the domain wall. The inclusion of the KK modes relaxes the hierarchy among the model parameters that is required to realize a phenomenologically viable size of $r_{\rm c}$. We also discuss whether a nontrivial dilaton background enlarges $r_{\rm c}$ or not.

[ { "created": "Thu, 11 Jun 2020 08:14:02 GMT", "version": "v1" } ]

2020-06-12

[ [ "Sakamura", "Yutaka", "" ] ]

We discuss contributions of the KK modes to the crossover length scale $r_{\rm c}$ for the brane-induced force when the brane is given by a solitonic background field. We work in a 5D scalar model with a domain-wall background that mimics the DGP model. In spite of the infinite number of the KK modes, the crossover scale remains finite due to the warping effect on the ambient space of the domain wall. The inclusion of the KK modes relaxes the hierarchy among the model parameters that is required to realize a phenomenologically viable size of $r_{\rm c}$. We also discuss whether a nontrivial dilaton background enlarges $r_{\rm c}$ or not.

10.293334

9.534172

8.641483

8.645421

9.564803

8.852062

8.564352

9.122273

9.571147

9.793172

8.827976

8.666471

8.934111

8.998458

8.516283

8.930748

8.672473

8.79388

9.12662

9.034764

8.653516

hep-th/0006187

Bervillier

C. Bagnuls, C. Bervillier, D. I. Meiron and B. G. Nickel

Addendum-erratum to: ``Nonasymptotic critical behavior from field theory at d=3. II. The ordered-phase case. Phys. Rev. B35, 3585 (1987)

One figure and one table added, some additions in the text

Phys.Rev.B35:3585-3607,1987; Addendum-erratum.B35:3585,1987

10.1103/PhysRevB.35.3585

T00/97

hep-th cond-mat.stat-mech

null

This note is intended to emphasize the existence of estimated Feynman integrals in three dimensions for the free energy of the O(1) scalar theory up to five loops which may be useful for other work. We also correct some misprints of the published paper.

[ { "created": "Fri, 23 Jun 2000 14:49:43 GMT", "version": "v1" }, { "created": "Thu, 29 Jun 2000 08:11:46 GMT", "version": "v2" }, { "created": "Fri, 11 Jan 2002 17:18:36 GMT", "version": "v3" } ]

2009-12-15

[ [ "Bagnuls", "C.", "" ], [ "Bervillier", "C.", "" ], [ "Meiron", "D. I.", "" ], [ "Nickel", "B. G.", "" ] ]

This note is intended to emphasize the existence of estimated Feynman integrals in three dimensions for the free energy of the O(1) scalar theory up to five loops which may be useful for other work. We also correct some misprints of the published paper.

17.222107

17.13991

15.547225

15.358336

16.451933

14.414004

15.522328

15.660104

16.241955

16.244057

17.657511

15.99108

16.228394

15.767097

15.594238

16.178886

15.733354

16.942898

15.813364

14.998288

17.368793

1710.06509

Mohamed Anber

Mohamed M. Anber, Vito Pellizzani

On the representation (in)dependence of $k$-strings in pure Yang-Mills theory via supersymmetry

11 pages, 3 figures, typos corrected

Phys. Rev. D 96, 114015 (2017)

10.1103/PhysRevD.96.114015

null

hep-th hep-lat hep-ph

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

We exploit a conjectured continuity between super Yang-Mills on $\mathbb R^3\times \mathbb S^1$ and pure Yang-Mills to study $k$-strings in the latter theory. As expected, we find that Wilson-loop correlation functions depend on the N-ality of a representation ${\cal R}$ to the leading order. However, the next-to-leading order correction is not universal and is given by the group characters, in the representation ${\cal R}$, of the permutation group. We also study W-bosons in super Yang-Mills and show that they are deconfined on the string worldsheet, and therefore, can change neither the string N-ality nor its tension. This phenomenon mirrors the fact that soft gluons do not screen probe charges with non-zero N-ality in pure Yang-Mills. Finally, we comment on the scaling law of $k$-strings in super Yang-Mills and compare our findings with strings in Seiberg-Witten theory, deformed Yang-Mills theory, and holographic studies that were performed in the 't Hooft large-$N$ limit.

[ { "created": "Tue, 17 Oct 2017 21:42:05 GMT", "version": "v1" }, { "created": "Thu, 28 Dec 2017 19:40:10 GMT", "version": "v2" } ]

2018-01-01

[ [ "Anber", "Mohamed M.", "" ], [ "Pellizzani", "Vito", "" ] ]

We exploit a conjectured continuity between super Yang-Mills on $\mathbb R^3\times \mathbb S^1$ and pure Yang-Mills to study $k$-strings in the latter theory. As expected, we find that Wilson-loop correlation functions depend on the N-ality of a representation ${\cal R}$ to the leading order. However, the next-to-leading order correction is not universal and is given by the group characters, in the representation ${\cal R}$, of the permutation group. We also study W-bosons in super Yang-Mills and show that they are deconfined on the string worldsheet, and therefore, can change neither the string N-ality nor its tension. This phenomenon mirrors the fact that soft gluons do not screen probe charges with non-zero N-ality in pure Yang-Mills. Finally, we comment on the scaling law of $k$-strings in super Yang-Mills and compare our findings with strings in Seiberg-Witten theory, deformed Yang-Mills theory, and holographic studies that were performed in the 't Hooft large-$N$ limit.

7.344991

8.160904

8.173738

7.701068

8.097459

8.39976

7.835917

7.628925

7.711631

9.214237

7.417396

7.5652

7.538336

7.30375

7.554385

7.641086

7.388968

7.28451

7.175968

7.419747

7.272838

1306.4004

Mukund Rangamani

Veronika E. Hubeny, Henry Maxfield, Mukund Rangamani, Erik Tonni

Holographic entanglement plateaux

27 pages + appendices. 12 pdf figures. 5 avi animations + 7 additional figures as ancillary files. v2: minor changes, fixed links to ancillary files. v3: minor clarifications and improvements to the discussion. published version (modulo additional clarifying footnotes)

null

10.1007/JHEP08(2013)092

DCPT-13/23

hep-th gr-qc

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

We consider the entanglement entropy for holographic field theories in finite volume. We show that the Araki-Lieb inequality is saturated for large enough subregions, implying that the thermal entropy can be recovered from the knowledge of the region and its complement. We observe that this actually is forced upon us in holographic settings due to non-trivial features of the causal wedges associated with a given boundary region. In the process, we present an infinite set of extremal surfaces in Schwarzschild-AdS geometry anchored on a given entangling surface. We also offer some speculations regarding the homology constraint required for computing holographic entanglement entropy.

[ { "created": "Mon, 17 Jun 2013 20:11:53 GMT", "version": "v1" }, { "created": "Fri, 21 Jun 2013 05:16:54 GMT", "version": "v2" }, { "created": "Mon, 14 Oct 2013 16:52:01 GMT", "version": "v3" } ]

2015-06-16

[ [ "Hubeny", "Veronika E.", "" ], [ "Maxfield", "Henry", "" ], [ "Rangamani", "Mukund", "" ], [ "Tonni", "Erik", "" ] ]

We consider the entanglement entropy for holographic field theories in finite volume. We show that the Araki-Lieb inequality is saturated for large enough subregions, implying that the thermal entropy can be recovered from the knowledge of the region and its complement. We observe that this actually is forced upon us in holographic settings due to non-trivial features of the causal wedges associated with a given boundary region. In the process, we present an infinite set of extremal surfaces in Schwarzschild-AdS geometry anchored on a given entangling surface. We also offer some speculations regarding the homology constraint required for computing holographic entanglement entropy.

9.978727

9.923316

11.150055

9.244014

9.678653

8.716563

8.368351

9.031942

9.564515

11.284405

9.357725

9.563593

10.787903

9.459773

9.636986

9.533972

9.594245

9.756289

9.346768

10.115

9.4863

hep-th/0609200

P. Pickl

Peter Pickl and Detlef Duerr

Adiabatic Pair Creation in Heavy Ion and Laser Fields

null

Europhys.Lett.81:40001,2008

10.1209/0295-5075/81/40001

null

hep-th

null

The planned generation of lasers and heavy ion colliders renews the hope to see electron-positron pair creation in strong classical fields (so called spontaneous pair creation). This adiabatic relativistic effect has however not been described in a unified manner. We discuss here the theory of adiabatic pair creation yielding the momentum distribution of scattered pairs in overcritical fields. Our conclusion about the possibility of adiabatic pair creation is different from earlier predictions for laser fields.

[ { "created": "Thu, 28 Sep 2006 14:39:58 GMT", "version": "v1" }, { "created": "Mon, 11 Dec 2006 11:59:22 GMT", "version": "v2" }, { "created": "Wed, 20 Jun 2007 09:34:39 GMT", "version": "v3" } ]

2008-11-26

[ [ "Pickl", "Peter", "" ], [ "Duerr", "Detlef", "" ] ]

The planned generation of lasers and heavy ion colliders renews the hope to see electron-positron pair creation in strong classical fields (so called spontaneous pair creation). This adiabatic relativistic effect has however not been described in a unified manner. We discuss here the theory of adiabatic pair creation yielding the momentum distribution of scattered pairs in overcritical fields. Our conclusion about the possibility of adiabatic pair creation is different from earlier predictions for laser fields.

17.935148

23.241215

18.836367

18.058199

18.882597

20.781725

20.309835

19.950317

17.067085

19.687109

17.49304

16.367151

16.010033

16.019508

16.030313

17.28907

16.105837

16.423471

15.190739

15.550917

16.442705

hep-th/0703082

Deger Nihat Sadik

Nihat Sadik Deger

A Note on Intersections of S-branes with p-branes

16 pages, revtex4, v2: minor improvements, references added, v3: minor improvements, references added, to appear in Phys.Rev. D

Phys.Rev.D75:126002,2007

10.1103/PhysRevD.75.126002

null

hep-th

null

We first investigate intersections of an S-brane with a single p-brane and show that in addition to the already known solutions, it is possible to place the S-brane so that the radial part of the p-brane is not included in its worldvolume. This leads to a new set of solutions. Secondly, we consider intersections of an S-brane with a supersymmetric Dp_1-Dp_2 intersection and find the list of allowed solutions for both positions of the S-brane. Among them there are D1-D5-S1 and D1-D5-S5 intersections which might be appropriate for studying time dependent AdS/CFT correspondence.

[ { "created": "Thu, 8 Mar 2007 16:38:23 GMT", "version": "v1" }, { "created": "Mon, 12 Mar 2007 14:40:33 GMT", "version": "v2" }, { "created": "Wed, 9 May 2007 13:33:24 GMT", "version": "v3" } ]

2008-11-26

[ [ "Deger", "Nihat Sadik", "" ] ]

We first investigate intersections of an S-brane with a single p-brane and show that in addition to the already known solutions, it is possible to place the S-brane so that the radial part of the p-brane is not included in its worldvolume. This leads to a new set of solutions. Secondly, we consider intersections of an S-brane with a supersymmetric Dp_1-Dp_2 intersection and find the list of allowed solutions for both positions of the S-brane. Among them there are D1-D5-S1 and D1-D5-S5 intersections which might be appropriate for studying time dependent AdS/CFT correspondence.

8.465761

7.769253

7.947244

7.784908

8.170884

7.919634

8.594628

8.365312

7.973558

8.985665

7.721414

7.800397

8.237085

7.861578

8.178031

7.84455

8.036099

8.186934

7.808501

8.341567

7.684618

hep-th/9404188

null

A. Fring and R.Koberle

Boundary Bound States in Affine Toda Field Theory

16 p., Latex

Int.J.Mod.Phys. A10 (1995) 739-752

10.1142/S0217751X95000346

null

hep-th

null

We demonstrate that the generalization of the Coleman-Thun mechanism may be applied to the situation, when considering scattering processes in 1+1-dimensions in the presence of reflecting boundaries. For affine Toda field theories we find that the binding energies of the bound states are always half the sum over a set of masses having the same colour with respect to the bicolouration of the Dynkin diagram. For the case of $E_6$-affine Toda field theory we compute explicitly the spectrum of all higher boundary bound states. The complete set of states constitutes a closed bootstrap.

[ { "created": "Sat, 30 Apr 1994 10:09:01 GMT", "version": "v1" } ]

2015-06-26

[ [ "Fring", "A.", "" ], [ "Koberle", "R.", "" ] ]

We demonstrate that the generalization of the Coleman-Thun mechanism may be applied to the situation, when considering scattering processes in 1+1-dimensions in the presence of reflecting boundaries. For affine Toda field theories we find that the binding energies of the bound states are always half the sum over a set of masses having the same colour with respect to the bicolouration of the Dynkin diagram. For the case of $E_6$-affine Toda field theory we compute explicitly the spectrum of all higher boundary bound states. The complete set of states constitutes a closed bootstrap.

13.919909

15.230376

17.042545

12.842028

14.038033

14.705403

14.424638

13.409187

12.790894

16.288143

12.562479

12.561319

13.395023

12.603231

12.307923

12.863908

13.23961

13.038675

12.356934

12.833295

12.519092

hep-th/0211249

Riccardo Argurio

Riccardo Argurio, Vanicson L. Campos, Gabriele Ferretti, Rainer Heise

Baryonic Corrections to Superpotentials from Perturbation Theory

8 pages

Phys.Lett.B553:332-336,2003

10.1016/S0370-2693(02)03202-1

null

hep-th

null

We study the corrections induced by a baryon vertex to the superpotential of SQCD with gauge group SU(N) and N quark flavors. We first compute the corrections order by order using a standard field theory technique and derive the corresponding glueball superpotential by "integrating in" the glueball field. The structure of the corrections matches with the expectations from the recently introduced perturbative techniques. We then compute the first non-trivial contribution using this new technique and find exact quantitative agreement. This involves cancellations between diagrams that go beyond the planar approximation.

[ { "created": "Tue, 26 Nov 2002 14:29:13 GMT", "version": "v1" } ]

2010-12-03

[ [ "Argurio", "Riccardo", "" ], [ "Campos", "Vanicson L.", "" ], [ "Ferretti", "Gabriele", "" ], [ "Heise", "Rainer", "" ] ]

We study the corrections induced by a baryon vertex to the superpotential of SQCD with gauge group SU(N) and N quark flavors. We first compute the corrections order by order using a standard field theory technique and derive the corresponding glueball superpotential by "integrating in" the glueball field. The structure of the corrections matches with the expectations from the recently introduced perturbative techniques. We then compute the first non-trivial contribution using this new technique and find exact quantitative agreement. This involves cancellations between diagrams that go beyond the planar approximation.

11.094419

10.791471

11.820317

10.525295

10.826898

11.119453

10.979773

10.147447

10.496702

12.807816

9.64793

10.375527

11.419764

10.557803

10.46699

10.08696

10.642676

10.502176

10.541361

11.036692

10.204507

hep-th/0109131

Kento Ichikawa

Solution Generating Technique for Noncommutative Orbifolds

13 pages, 1 figure

Prog.Theor.Phys. 108 (2002) 383-397

10.1143/PTP.108.383

Prog. Theor. Phys. Vol. 108 No.2 (2002) p383

hep-th

null

We propose the relationships between the noncommutative solitons and the (fractional) D-branes on the C^2/Z_n orbifold and extend the solution generating technique for the orbifold. As applications, we determine how tachyon condensations occur in various D-Dbar systems on the orbifolds. The calculations give results consistent with BSFT. The extended solution generating technique enables us to calculate more general decay modes of D-Dbar systems.

[ { "created": "Mon, 17 Sep 2001 20:48:16 GMT", "version": "v1" }, { "created": "Thu, 20 Sep 2001 02:21:16 GMT", "version": "v2" }, { "created": "Sat, 12 Oct 2002 02:50:36 GMT", "version": "v3" } ]

2009-11-07

[ [ "Ichikawa", "Kento", "" ] ]

We propose the relationships between the noncommutative solitons and the (fractional) D-branes on the C^2/Z_n orbifold and extend the solution generating technique for the orbifold. As applications, we determine how tachyon condensations occur in various D-Dbar systems on the orbifolds. The calculations give results consistent with BSFT. The extended solution generating technique enables us to calculate more general decay modes of D-Dbar systems.

14.170518

10.948992

13.758248

10.24601

10.921681

10.883014

10.354624

11.840069

11.223529

15.814866

11.112123

12.404402

13.838391

12.445286

11.709775

11.500862

11.860887

11.969121

12.258875

13.577674

12.305802

hep-th/0303076

Elie Gorbatov

Michael Dine, Elie Gorbatov, Igor R. Klebanov, Michael Krasnitz

Closed String Tachyons and Their Implications for Non-Supersymmetric Strings

10 pages, no figures, references added

JHEP 0407 (2004) 034

10.1088/1126-6708/2004/07/034

SCIPP-2003/09; MIFP-03-04; PUPT-2075

hep-th

null

Closed string tachyons have long been somewhat mysterious. We note that there is often a regime in the classical moduli space in which one can systematically compute the effective action for such fields. In this regime, the tachyon is light, and cannot be integrated out. Instead, one must consider the combined dynamics of gravitons, moduli, tachyons and other light fields. We compute the action and find that the quartic term for the tachyon is positive in the field definition where the tachyon has no derivative coupling to the radion. We study the evolution of isotropic, homogeneous configurations and find that typically the system is driven to regions where the calculation is no longer under control.

[ { "created": "Sun, 9 Mar 2003 22:27:16 GMT", "version": "v1" }, { "created": "Tue, 15 Apr 2003 00:51:57 GMT", "version": "v2" } ]

2009-11-10

[ [ "Dine", "Michael", "" ], [ "Gorbatov", "Elie", "" ], [ "Klebanov", "Igor R.", "" ], [ "Krasnitz", "Michael", "" ] ]

Closed string tachyons have long been somewhat mysterious. We note that there is often a regime in the classical moduli space in which one can systematically compute the effective action for such fields. In this regime, the tachyon is light, and cannot be integrated out. Instead, one must consider the combined dynamics of gravitons, moduli, tachyons and other light fields. We compute the action and find that the quartic term for the tachyon is positive in the field definition where the tachyon has no derivative coupling to the radion. We study the evolution of isotropic, homogeneous configurations and find that typically the system is driven to regions where the calculation is no longer under control.

9.710864

9.589569

10.025764

8.761839

9.766665

10.056641

9.990809

9.335724

9.249572

9.969211

9.559778

9.276854

8.586521

8.743893

9.109773

9.107397

9.180538

9.078474

8.749871

8.62886

8.877424

hep-th/0201236

Marotta Raffaele

Raffaele Marotta

Gauge Theories on Bound States of Fractional Branes

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

Fortsch.Phys. 50 (2002) 930-935

10.1002/1521-3978(200209)50:8/9<930::AID-PROP930>3.0.CO;2-6

DSF 1/2002

hep-th

null

We study the N=2 super Yang Mills theory living in the world volume of a bound state made of fractional D3/D7 branes at the orbifold R^{1,5}*R^4/ Z_2, by using the probe technique. We also discuss the boundary action for the system.

[ { "created": "Tue, 29 Jan 2002 14:45:04 GMT", "version": "v1" } ]

2015-06-26

[ [ "Marotta", "Raffaele", "" ] ]

We study the N=2 super Yang Mills theory living in the world volume of a bound state made of fractional D3/D7 branes at the orbifold R^{1,5}*R^4/ Z_2, by using the probe technique. We also discuss the boundary action for the system.

12.321147

8.569185

15.792544

10.171853

11.056413

12.367836

9.321416

9.895151

9.489005

16.971498

9.673483

10.797081

14.133358

10.417489

11.8049

11.393688

12.332597

10.815294

10.308102

13.408884

11.643026

2312.17308

Clay C\'ordova

Clay Cordova, Giovanni Rizi

Non-Invertible Symmetry in Calabi-Yau Conformal Field Theories

66 pages, 1 figure

null

hep-th

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

We construct examples of non-invertible global symmetries in two-dimensional superconformal field theories described by sigma models into Calabi-Yau target spaces. Our construction provides some of the first examples of non-invertible symmetry in irrational conformal field theories. Our approach begins at a Gepner point in the conformal manifold where the sigma model specializes to a rational conformal field theory and we can identify all supersymmetric topological Verlinde lines. By deforming away from this special locus using exactly marginal operators, we then identify submanifolds in moduli space where some non-invertible symmetry persists. For instance, along ten-dimensional loci in the complex structure moduli space of quintic Calabi-Yau threefolds there is a symmetry characterized by a Fibonacci fusion category. The symmetries we identify provide new constraints on spectra and correlation functions. As an application we show how they constrain conformal perturbation theory, consistent with recent results about scaling dimensions in the K3 sigma model near its Gepner point.

[ { "created": "Thu, 28 Dec 2023 18:53:50 GMT", "version": "v1" } ]

2024-01-01

[ [ "Cordova", "Clay", "" ], [ "Rizi", "Giovanni", "" ] ]

We construct examples of non-invertible global symmetries in two-dimensional superconformal field theories described by sigma models into Calabi-Yau target spaces. Our construction provides some of the first examples of non-invertible symmetry in irrational conformal field theories. Our approach begins at a Gepner point in the conformal manifold where the sigma model specializes to a rational conformal field theory and we can identify all supersymmetric topological Verlinde lines. By deforming away from this special locus using exactly marginal operators, we then identify submanifolds in moduli space where some non-invertible symmetry persists. For instance, along ten-dimensional loci in the complex structure moduli space of quintic Calabi-Yau threefolds there is a symmetry characterized by a Fibonacci fusion category. The symmetries we identify provide new constraints on spectra and correlation functions. As an application we show how they constrain conformal perturbation theory, consistent with recent results about scaling dimensions in the K3 sigma model near its Gepner point.

8.322017

7.916848

10.042496

8.200961

8.132483

7.995119

7.994156

7.646643

8.09281

10.953472

7.599628

8.12113

8.683359

7.99992

8.095962

8.11725

8.240026

8.094554

7.960928

8.56979

7.840305

1407.7406

Kunihito Uzawa

Colliding $p$-branes in the dynamical intersecting brane system

81 pages, 12 figures

Phys.Rev. D90 (2014) 025024

10.1103/PhysRevD.90.025024

null

hep-th gr-qc

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

We discuss the dynamics of intersecting $p$-branes with cosmological constants in the higher-dimensional gravity theories. For the delocalized brane case, these solutions describe an asymptotically de Sitter or power-law expanding universe, while for the partially localized intersecting branes, they describe homogeneous and isotropic universes at each position of the overall transverse space. We then apply these time-dependent branes to the study on the collision of two 0-branes and show that the 0$-$8-brane system or the smeared $0-p_I$-brane system can provide an example of colliding branes if they have the same brane charges and only one overall transverse space. Finally, we argue some applications of the solutions in supergravity models.

[ { "created": "Mon, 28 Jul 2014 13:21:18 GMT", "version": "v1" } ]

2014-07-29

[ [ "Uzawa", "Kunihito", "" ] ]

We discuss the dynamics of intersecting $p$-branes with cosmological constants in the higher-dimensional gravity theories. For the delocalized brane case, these solutions describe an asymptotically de Sitter or power-law expanding universe, while for the partially localized intersecting branes, they describe homogeneous and isotropic universes at each position of the overall transverse space. We then apply these time-dependent branes to the study on the collision of two 0-branes and show that the 0$-$8-brane system or the smeared $0-p_I$-brane system can provide an example of colliding branes if they have the same brane charges and only one overall transverse space. Finally, we argue some applications of the solutions in supergravity models.

13.080463

12.592454

13.588387

11.96242

12.705235

12.714636

12.357612

12.123116

12.325504

13.505612

11.714136

11.927025

11.838172

11.420963

12.506309

11.795281

12.147012

12.167624

12.125684

12.081835

11.655649

hep-th/9811224

Tomasz Taylor

A. Fotopoulos and T.R. Taylor

Remarks on Two-Loop Free Energy in N=4 Supersymmetric Yang-Mills Theory at Finite Temperature

5 pages, 1 figure; final form, Physical Review D

Phys.Rev.D59:061701,1999

10.1103/PhysRevD.59.061701

NUB-3192

hep-th hep-ph

null

The strong coupling behavior of finite temperature free energy in N=4 supersymmetric SU(N) Yang-Mills theory has been recently discussed by Gubser, Klebanov and Tseytlin in the context of AdS-SYM correspondence. In this note, we focus on the weak coupling behavior. As a result of a two-loop computation we obtain, in the large N 't Hooft limit, $F(g^2N\to 0)\approx -\frac{\pi^2}{6}N^2V_3T^4(1-\frac{3}{2\pi^2}g^2N)$. Comparison with the strong coupling expansion provides further indication that free energy is a smooth monotonic function of the coupling constant.

[ { "created": "Wed, 25 Nov 1998 19:34:58 GMT", "version": "v1" }, { "created": "Tue, 1 Dec 1998 00:37:17 GMT", "version": "v2" }, { "created": "Thu, 14 Jan 1999 20:15:38 GMT", "version": "v3" } ]

2009-12-30

[ [ "Fotopoulos", "A.", "" ], [ "Taylor", "T. R.", "" ] ]

The strong coupling behavior of finite temperature free energy in N=4 supersymmetric SU(N) Yang-Mills theory has been recently discussed by Gubser, Klebanov and Tseytlin in the context of AdS-SYM correspondence. In this note, we focus on the weak coupling behavior. As a result of a two-loop computation we obtain, in the large N 't Hooft limit, $F(g^2N\to 0)\approx -\frac{\pi^2}{6}N^2V_3T^4(1-\frac{3}{2\pi^2}g^2N)$. Comparison with the strong coupling expansion provides further indication that free energy is a smooth monotonic function of the coupling constant.

5.516988

5.295987

6.060052

4.951756

5.3033

5.720161

5.419193

4.959921

5.240886

7.024453

5.173246

4.98657

5.623429

5.242847

5.124691

5.169127

4.921814

5.19956

5.235551

5.815702

5.008585

2206.08944

Diandian Wang

Gary T. Horowitz, Diandian Wang, Xiaohua Ye

An infinity of black holes

31 pages, 14 figs; v2: minor improvements and corrections

Class.Quant.Grav. 39 (2022) 225014

10.1088/1361-6382/ac994b

null

hep-th gr-qc

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

In general relativity (without matter), there is typically a one parameter family of static, maximally symmetric black hole solutions labelled by their mass. We show that there are situations with many more black holes. We study asymptotically anti-de Sitter solutions in six and seven dimensions having a conformal boundary which is a product of spheres cross time. We show that the number of families of static, maximally symmetric black holes depends on the ratio, $\lambda$, of the radii of the boundary spheres. As $\lambda$ approaches a critical value, $\lambda_{c}$, the number of such families becomes infinite. In each family, we can take the size of the black hole to zero, obtaining an infinite number of static, maximally symmetric non-black hole solutions. We discuss several applications of these results, including Hawking-Page phase transitions and the phase diagram of dual field theories on a product of spheres, new positive energy conjectures, and more.

[ { "created": "Fri, 17 Jun 2022 18:00:01 GMT", "version": "v1" }, { "created": "Tue, 8 Nov 2022 00:31:41 GMT", "version": "v2" } ]

2022-11-09

[ [ "Horowitz", "Gary T.", "" ], [ "Wang", "Diandian", "" ], [ "Ye", "Xiaohua", "" ] ]

In general relativity (without matter), there is typically a one parameter family of static, maximally symmetric black hole solutions labelled by their mass. We show that there are situations with many more black holes. We study asymptotically anti-de Sitter solutions in six and seven dimensions having a conformal boundary which is a product of spheres cross time. We show that the number of families of static, maximally symmetric black holes depends on the ratio, $\lambda$, of the radii of the boundary spheres. As $\lambda$ approaches a critical value, $\lambda_{c}$, the number of such families becomes infinite. In each family, we can take the size of the black hole to zero, obtaining an infinite number of static, maximally symmetric non-black hole solutions. We discuss several applications of these results, including Hawking-Page phase transitions and the phase diagram of dual field theories on a product of spheres, new positive energy conjectures, and more.

6.322033

6.314591

6.492639

5.942932

6.180092

6.022015

6.096334

5.8822

5.784628

7.487587

5.825579

6.158812

6.122469

5.901023

6.10312

6.133183

6.229947

6.051101

6.004951

6.084623

5.905714

1104.5502

Vyacheslav Lysov

Vyacheslav Lysov and Andrew Strominger

From Petrov-Einstein to Navier-Stokes

Added references, discussion and appendix detailing alternate boundary conditions with fixed mean curvature

null

hep-th gr-qc physics.flu-dyn

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

We consider a p+1-dimensional timelike hypersurface \Sigma_c embedded with a flat induced metric in a p+2-dimensional Einstein geometry. It is shown that imposing a Petrov type I condition on the geometry reduces the degrees of freedom in the extrinsic curvature of \Sigma_c to those of a fluid in \Sigma_c. Moreover, expanding around a limit in which the mean curvature of the embedding diverges, the leading-order Einstein constraint equations on \Sigma_c are shown to reduce to the non-linear incompressible Navier-Stokes equation for a fluid moving in \Sigma_c.

[ { "created": "Thu, 28 Apr 2011 20:06:13 GMT", "version": "v1" }, { "created": "Fri, 3 Jun 2011 13:49:10 GMT", "version": "v2" } ]

2011-06-06

[ [ "Lysov", "Vyacheslav", "" ], [ "Strominger", "Andrew", "" ] ]

We consider a p+1-dimensional timelike hypersurface \Sigma_c embedded with a flat induced metric in a p+2-dimensional Einstein geometry. It is shown that imposing a Petrov type I condition on the geometry reduces the degrees of freedom in the extrinsic curvature of \Sigma_c to those of a fluid in \Sigma_c. Moreover, expanding around a limit in which the mean curvature of the embedding diverges, the leading-order Einstein constraint equations on \Sigma_c are shown to reduce to the non-linear incompressible Navier-Stokes equation for a fluid moving in \Sigma_c.

8.971776

7.273878

8.625919

6.929477

7.51697

7.451584

7.136644

7.225522

7.364704

9.361003

7.473725

7.777303

8.395648

7.895799

7.468896

7.781946

7.521737

7.760722

7.952648

8.464333

7.981831

2109.14637

Hannah Tillim

John March-Russell, Hannah Tillim

Axiverse Strings

5 pages, 2 figures

null

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

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

If the QCD axion solves the strong CP problem then light axion-like-particles (ALPs) are expected to be ubiquitous in string theory - the string axiverse. Such ALPs can be the QCD axion and constitute dark matter (DM) or radiation, quintessence, and lead to new forces. String ALPs are also expected to give rise to a multiplicity of cosmologically important global axion strings. We study the properties of these axiverse cosmic strings including the vital effects of moduli stabilization, and find that the string cores provide `portals' to different decompactifications - to be precise, the cores explore the large K\"ahler or complex structure boundary of moduli space. As usual for global strings the tension $T_1\sim \Lambda^2 \log(L\Lambda)$ with inter-string separation, $L$, while $\Lambda$ can be small $\ll M_{\rm pl}$. At long distances from the string there are potential new signatures involving variations in Standard Model (SM) parameters (Yukawa couplings, gauge couplings, masses) and equivalence principle violations.

[ { "created": "Wed, 29 Sep 2021 18:00:06 GMT", "version": "v1" } ]

2021-10-01

[ [ "March-Russell", "John", "" ], [ "Tillim", "Hannah", "" ] ]

If the QCD axion solves the strong CP problem then light axion-like-particles (ALPs) are expected to be ubiquitous in string theory - the string axiverse. Such ALPs can be the QCD axion and constitute dark matter (DM) or radiation, quintessence, and lead to new forces. String ALPs are also expected to give rise to a multiplicity of cosmologically important global axion strings. We study the properties of these axiverse cosmic strings including the vital effects of moduli stabilization, and find that the string cores provide `portals' to different decompactifications - to be precise, the cores explore the large K\"ahler or complex structure boundary of moduli space. As usual for global strings the tension $T_1\sim \Lambda^2 \log(L\Lambda)$ with inter-string separation, $L$, while $\Lambda$ can be small $\ll M_{\rm pl}$. At long distances from the string there are potential new signatures involving variations in Standard Model (SM) parameters (Yukawa couplings, gauge couplings, masses) and equivalence principle violations.

13.147737

14.987803

13.336808

13.246178

14.542937

14.553686

14.582664

15.56007

13.601287

13.872383

14.064724

13.431076

12.519318

12.597163

13.092816

13.100732

13.398971

13.490928

12.590761

13.24243

12.820081

1810.12712

Tony Pinhero

Tony Pinhero, Supratik Pal

A New Class of Non-canonical Conformal Attractors for Multifield Inflation

23 pages, 5 figures, Published version

JCAP 2003 (2020) no.03, 022

10.1088/1475-7516/2020/03/022

null

hep-th astro-ph.CO

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

We propose a new broad class of multi-field non-canonical inflationary models as an extension of multi-field conformal cosmological attractors. This also generalizes the recently discovered class of non-canonical conformal attractors for single field inflation. Kinetic terms of this class of models are phenomenologically arising from ${\cal N}=1$ supergravity and from ${\cal N}=1$ superconformal theory, with two conformal scalar compensator fields in the latter. We show that the inflationary dynamics and predictions of this class of models are stable with respect to the significant modification of both radial and angular part of the potential, but it is very sensitive to its minuscule modification in the geometry of the field space metric. We also show that our framework can pass the latest observational constraints set by Planck 2018.

[ { "created": "Tue, 30 Oct 2018 12:57:22 GMT", "version": "v1" }, { "created": "Mon, 16 Mar 2020 06:44:41 GMT", "version": "v2" } ]

2020-03-17

[ [ "Pinhero", "Tony", "" ], [ "Pal", "Supratik", "" ] ]

We propose a new broad class of multi-field non-canonical inflationary models as an extension of multi-field conformal cosmological attractors. This also generalizes the recently discovered class of non-canonical conformal attractors for single field inflation. Kinetic terms of this class of models are phenomenologically arising from ${\cal N}=1$ supergravity and from ${\cal N}=1$ superconformal theory, with two conformal scalar compensator fields in the latter. We show that the inflationary dynamics and predictions of this class of models are stable with respect to the significant modification of both radial and angular part of the potential, but it is very sensitive to its minuscule modification in the geometry of the field space metric. We also show that our framework can pass the latest observational constraints set by Planck 2018.

9.422048

9.202122

9.445793

8.72755

9.656235

9.32058

8.934888

9.472019

9.50349

10.289328

9.153785

9.192823

9.469028

8.906468

9.224364

9.189084

9.153142

9.182321

9.191077

9.19065

9.012563

0803.0230

Ludvig Faddeev

L. D. Faddeev, A. Yu. Volkov

Discrete evolution for the zero-modes of the Quantum Liouville Model

15 pages

J.Phys.A41:194008,2008

10.1088/1751-8113/41/19/194008

null

hep-th math.QA

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

The dynamical system for the zero modes of the Liouville Model, which is separated from the full dynamics for the discrete shifts of time $ t \to t + \pi $, is investigated. The structure of the modular double in quantum case is introduced.

[ { "created": "Mon, 3 Mar 2008 12:52:55 GMT", "version": "v1" } ]

2008-11-26

[ [ "Faddeev", "L. D.", "" ], [ "Volkov", "A. Yu.", "" ] ]

The dynamical system for the zero modes of the Liouville Model, which is separated from the full dynamics for the discrete shifts of time $ t \to t + \pi $, is investigated. The structure of the modular double in quantum case is introduced.

28.341583

22.536564

31.924604

25.981377

23.388285

27.485439

27.241652

24.08456

24.370687

29.368996

22.526733

22.939394

26.072824

25.391375

25.210676

22.595406

22.75091

27.770231

23.16855

25.552456

22.209505

1501.01550

Haitang Yang

Dimitri Polyakov, Peng Wang, Houwen Wu and Haitang Yang

Non-commutativity from the double sigma model

V2,15pages, references added and typos corrected. Latex2e

JHEP03(2015)011

10.1007/JHEP03(2015)011

CTP-SCU/2015001

hep-th

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

We show how non-commutativity arises from commutativity in the double sigma model. We demonstrate that this model is intrinsically non-commutative by calculating the propagators. In the simplest phase configuration, there are two dual copies of commutative theories. In general rotated frames, one gets a non-commutative theory and a commutative partner. Thus a non-vanishing $B$ also leads to a commutative theory. Our results imply that $O\left(D,D\right)$ symmetry unifies not only the big and small torus physics, but also the commutative and non-commutative theories. The physical interpretations of the metric and other parameters in the double sigma model are completely dictated by the boundary conditions. The open-closed relation is also an $O(D,D)$ rotation and naturally leads to the Seiberg-Witten map. Moreover, after applying a second dual rotation, we identify the description parameter in the Seiberg-Witten map as an $O(D,D)$ group parameter and all theories are non-commutative under this composite rotation. As a bonus, the propagators of general frames in double sigma model for open string are also presented.

[ { "created": "Wed, 7 Jan 2015 16:42:16 GMT", "version": "v1" }, { "created": "Sun, 11 Jan 2015 18:49:53 GMT", "version": "v2" } ]

2015-06-23

[ [ "Polyakov", "Dimitri", "" ], [ "Wang", "Peng", "" ], [ "Wu", "Houwen", "" ], [ "Yang", "Haitang", "" ] ]

We show how non-commutativity arises from commutativity in the double sigma model. We demonstrate that this model is intrinsically non-commutative by calculating the propagators. In the simplest phase configuration, there are two dual copies of commutative theories. In general rotated frames, one gets a non-commutative theory and a commutative partner. Thus a non-vanishing $B$ also leads to a commutative theory. Our results imply that $O\left(D,D\right)$ symmetry unifies not only the big and small torus physics, but also the commutative and non-commutative theories. The physical interpretations of the metric and other parameters in the double sigma model are completely dictated by the boundary conditions. The open-closed relation is also an $O(D,D)$ rotation and naturally leads to the Seiberg-Witten map. Moreover, after applying a second dual rotation, we identify the description parameter in the Seiberg-Witten map as an $O(D,D)$ group parameter and all theories are non-commutative under this composite rotation. As a bonus, the propagators of general frames in double sigma model for open string are also presented.

11.300379

11.707573

12.779811

10.98509

11.498178

11.654171

11.309959

11.651406

10.737345

12.865291

11.137756

10.950397

11.74452

10.849747

10.917889

10.908901

11.1466

10.906574

10.871036

11.549082

10.846869

1804.00466

Partouche Herve

Thibaut Coudarchet and Herve Partouche

Quantum no-scale regimes and moduli dynamics

1+65 pages, 9 figures, 1 appendix

null

10.1016/j.nuclphysb.2018.06.009

CPHT-RR009.022018

hep-th gr-qc hep-ph

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

We analyze quantum no-scale regimes (QNSR) in perturbative heterotic string compactified on tori, with total spontaneous breaking of supersymmetry. We show that for marginal deformations initially at any point in moduli space, the dynamics of a flat, homogeneous and isotropic universe can always be attracted to a QNSR. This happens independently of the characteristics of the 1-loop effective potential $V_{1-loop}$, which can be initially positive, negative or vanishing, and maximal, minimal or at a saddle point. In all cases, the classical no-scale structure is restored at the quantum level, during the cosmological evolution. This is shown analytically by considering moduli evolutions entirely in the vicinity of their initial values. Global attractor mechanisms are analyzed numerically and depend drastically on the sign of $V_{1-loop}$. We find that all initially expanding cosmological evolutions along which $V_{1-loop}$ is positive are attracted to the QNSR describing a flat, ever-expanding universe. On the contrary, when $V_{1-loop}$ can reach negative values, the expansion comes to a halt and the universe eventually collapses into a Big Crunch, unless the initial conditions are tuned in a tiny region of the phase space. This suggests that flat, ever-expanding universes with positive potentials are way more natural than their counterparts with negative potentials.

[ { "created": "Mon, 2 Apr 2018 12:10:46 GMT", "version": "v1" }, { "created": "Mon, 18 Jun 2018 21:41:22 GMT", "version": "v2" } ]

2018-08-01

[ [ "Coudarchet", "Thibaut", "" ], [ "Partouche", "Herve", "" ] ]

We analyze quantum no-scale regimes (QNSR) in perturbative heterotic string compactified on tori, with total spontaneous breaking of supersymmetry. We show that for marginal deformations initially at any point in moduli space, the dynamics of a flat, homogeneous and isotropic universe can always be attracted to a QNSR. This happens independently of the characteristics of the 1-loop effective potential $V_{1-loop}$, which can be initially positive, negative or vanishing, and maximal, minimal or at a saddle point. In all cases, the classical no-scale structure is restored at the quantum level, during the cosmological evolution. This is shown analytically by considering moduli evolutions entirely in the vicinity of their initial values. Global attractor mechanisms are analyzed numerically and depend drastically on the sign of $V_{1-loop}$. We find that all initially expanding cosmological evolutions along which $V_{1-loop}$ is positive are attracted to the QNSR describing a flat, ever-expanding universe. On the contrary, when $V_{1-loop}$ can reach negative values, the expansion comes to a halt and the universe eventually collapses into a Big Crunch, unless the initial conditions are tuned in a tiny region of the phase space. This suggests that flat, ever-expanding universes with positive potentials are way more natural than their counterparts with negative potentials.

7.879888

7.966379

8.613036

8.02016

8.014134

7.581993

7.854413

7.817658

7.443702

8.607701

7.711046

7.549889

7.881714

7.52405

7.471204

7.638649

7.596282

7.682059

7.631577

7.708715

7.594033

hep-th/9710069

Igor Kanatczikow

I. V. Kanatchikov

On Field Theoretic Generalizations of a Poisson Algebra

10 pages, LaTeX2e. Missprint in Ref. 1 is corrected (hep-th/9709229 instead of ...029)

Rept.Math.Phys. 40 (1997) 225

10.1016/S0034-4877(97)85919-8

null

hep-th dg-ga gr-qc math-ph math.DG math.MP math.QA q-alg

null

A few generalizations of a Poisson algebra to field theory canonically formulated in terms of the polymomentum variables are discussed. A graded Poisson bracket on differential forms and an $(n+1)$-ary bracket on functions are considered. The Poisson bracket on differential forms gives rise to various generalizations of a Gerstenhaber algebra: the noncommutative (in the sense of Loday) and the higher-order (in the sense of the higher order graded Leibniz rule). The $(n+1)$-ary bracket fulfills the properties of the Nambu bracket including the ``fundamental identity'', thus leading to the Nambu-Poisson algebra. We point out that in the field theory context the Nambu bracket with a properly defined covariant analogue of Hamilton's function determines a joint evolution of several dynamical variables.

[ { "created": "Wed, 8 Oct 1997 10:28:09 GMT", "version": "v1" }, { "created": "Fri, 10 Oct 1997 23:49:08 GMT", "version": "v2" } ]

2009-10-30

[ [ "Kanatchikov", "I. V.", "" ] ]

A few generalizations of a Poisson algebra to field theory canonically formulated in terms of the polymomentum variables are discussed. A graded Poisson bracket on differential forms and an $(n+1)$-ary bracket on functions are considered. The Poisson bracket on differential forms gives rise to various generalizations of a Gerstenhaber algebra: the noncommutative (in the sense of Loday) and the higher-order (in the sense of the higher order graded Leibniz rule). The $(n+1)$-ary bracket fulfills the properties of the Nambu bracket including the ``fundamental identity'', thus leading to the Nambu-Poisson algebra. We point out that in the field theory context the Nambu bracket with a properly defined covariant analogue of Hamilton's function determines a joint evolution of several dynamical variables.

8.861885

9.135099

9.481565

8.768917

8.615596

8.829061

8.823108

8.741885

8.777963

9.68103

8.567683

8.221898

8.662737

8.288394

8.315279

8.190173

8.600513

8.391653

8.366003

8.163477

8.019287

2303.07638

Sangmin Lee

Hojin Lee, Sangmin Lee, Subhajit Mazumdar

Classical observables from partial wave amplitudes

48 pages, 3 figures; v2. minor corrections

null

10.1007/JHEP06(2023)096

null

hep-th

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

We study the formalism of Kosower-Maybee-O'Connell (KMOC) to extract classical impulse from quantum amplitude in the context of the partial wave expansion of a 2-to-2 elastic scattering. We take two complementary approaches to establish the connection. The first one takes advantage of Clebsch-Gordan relations for the base amplitudes of the partial wave expansion. The second one is a novel adaptation of the traditional saddle point approximation in the semi-classical limit. In the former, an interference between the S-matrix and its conjugate leads to a large degree of cancellation such that the saddle point approximation to handle a rapidly oscillating integral is no longer needed. As an example with a non-orbital angular momentum, we apply our methods to the charge-monopole scattering problem in the probe limit and reproduce both of the two angles characterizing the classical scattering. A spinor basis for the partial wave expansion, a non-relativistic avatar of the spinor-helicity variables, plays a crucial role throughout our computations.

[ { "created": "Tue, 14 Mar 2023 05:51:29 GMT", "version": "v1" }, { "created": "Thu, 15 Jun 2023 03:40:37 GMT", "version": "v2" } ]

2023-07-05

[ [ "Lee", "Hojin", "" ], [ "Lee", "Sangmin", "" ], [ "Mazumdar", "Subhajit", "" ] ]

We study the formalism of Kosower-Maybee-O'Connell (KMOC) to extract classical impulse from quantum amplitude in the context of the partial wave expansion of a 2-to-2 elastic scattering. We take two complementary approaches to establish the connection. The first one takes advantage of Clebsch-Gordan relations for the base amplitudes of the partial wave expansion. The second one is a novel adaptation of the traditional saddle point approximation in the semi-classical limit. In the former, an interference between the S-matrix and its conjugate leads to a large degree of cancellation such that the saddle point approximation to handle a rapidly oscillating integral is no longer needed. As an example with a non-orbital angular momentum, we apply our methods to the charge-monopole scattering problem in the probe limit and reproduce both of the two angles characterizing the classical scattering. A spinor basis for the partial wave expansion, a non-relativistic avatar of the spinor-helicity variables, plays a crucial role throughout our computations.

13.727787

12.022223

15.09192

11.034198

10.604303

11.756189

12.18117

10.402652

10.429065

14.669028

11.016063

11.612763

13.33195

11.801725

11.951521

11.561764

11.790676

11.787049

11.955183

13.509773

12.021234

hep-th/0410257

Marcelo Gomes

E. A. Asano, L. C. T. Brito, M. Gomes, A. Yu. Petrov, A. J. da Silva

Consistent Interactions of the 2+1 Dimensional Noncommutative Chern-Simons Field

minor corrections and some references added

Phys.Rev. D71 (2005) 105005

10.1103/PhysRevD.71.105005

null

hep-th

null

We consider 2+1 dimensional noncommutative models of scalar and fermionic fields coupled to the Chern-Simons field. We show that, at least up to one loop, the model containing only a fermionic field in the fundamental representation minimally coupled to the Chern-Simons field is consistent in the sense that there are no nonintegrable infrared divergences. By contrast, dangerous infrared divergences occur if the fermion field belongs to the adjoint representation or if the coupling of scalar matter is considered instead. The superfield formulation of the supersymmetric Chern-Simons model is also analyzed and shown to be free of nonintegrable infrared singularities and actually finite if the matter field belongs to the fundamental representation of the supergauge group. In the case of the adjoint representation this only happens in a particular gauge.

[ { "created": "Tue, 26 Oct 2004 21:30:33 GMT", "version": "v1" }, { "created": "Tue, 14 Dec 2004 12:34:30 GMT", "version": "v2" } ]

2009-11-10

[ [ "Asano", "E. A.", "" ], [ "Brito", "L. C. T.", "" ], [ "Gomes", "M.", "" ], [ "Petrov", "A. Yu.", "" ], [ "da Silva", "A. J.", "" ] ]

We consider 2+1 dimensional noncommutative models of scalar and fermionic fields coupled to the Chern-Simons field. We show that, at least up to one loop, the model containing only a fermionic field in the fundamental representation minimally coupled to the Chern-Simons field is consistent in the sense that there are no nonintegrable infrared divergences. By contrast, dangerous infrared divergences occur if the fermion field belongs to the adjoint representation or if the coupling of scalar matter is considered instead. The superfield formulation of the supersymmetric Chern-Simons model is also analyzed and shown to be free of nonintegrable infrared singularities and actually finite if the matter field belongs to the fundamental representation of the supergauge group. In the case of the adjoint representation this only happens in a particular gauge.

5.926444

5.310321

6.284735

5.277812

5.256189

5.344933

5.59533

5.292775

5.434354

6.291544

5.606463

5.612183

5.838073

5.679976

5.614357

5.726102

5.578121

5.648415

5.751126

5.896705

5.646033

2207.04060

Anthony Houppe

Bogdan Ganchev and Anthony Houppe and Nicholas P. Warner

Elliptical and Purely NS Superstrata

37 pages, 4 figures

null

10.1007/JHEP09(2022)067

null

hep-th

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

We analyze the BPS equations in the ``superstratum sector'' of three-dimensional gauged supergravity. We obtain multi-parameter supersymmetric solutions that include elliptical deformations of the supertubes that underlie standard superstrata. We uplift the three-dimensional solutions to obtain the corresponding six-dimensional geometries. This yields new families of elliptically-deformed, ambi-bolar hyper-K\"ahler geometries in four dimensions with a non-tri-holomorphic $U(1)$ isometry. We also find a new family of scaling superstrata whose S-dual lives entirely within the NS-sector of supergravity, and will thus be more amenable to exact analysis using string probes. In all these new superstrata, including the scaling ones, if the momentum charge is non-zero we find that the ellipse stays away from the degeneration locus in which the ellipse becomes flat.

[ { "created": "Fri, 8 Jul 2022 18:00:00 GMT", "version": "v1" } ]

2022-09-28

[ [ "Ganchev", "Bogdan", "" ], [ "Houppe", "Anthony", "" ], [ "Warner", "Nicholas P.", "" ] ]

We analyze the BPS equations in the ``superstratum sector'' of three-dimensional gauged supergravity. We obtain multi-parameter supersymmetric solutions that include elliptical deformations of the supertubes that underlie standard superstrata. We uplift the three-dimensional solutions to obtain the corresponding six-dimensional geometries. This yields new families of elliptically-deformed, ambi-bolar hyper-K\"ahler geometries in four dimensions with a non-tri-holomorphic $U(1)$ isometry. We also find a new family of scaling superstrata whose S-dual lives entirely within the NS-sector of supergravity, and will thus be more amenable to exact analysis using string probes. In all these new superstrata, including the scaling ones, if the momentum charge is non-zero we find that the ellipse stays away from the degeneration locus in which the ellipse becomes flat.

14.990633

15.485472

18.547812

14.393643

14.86018

17.520445

15.562289

16.218424

14.909637

19.694803

13.29617

14.461932

15.35843

14.096042

14.093716

14.424452

14.385845

14.581984

14.535522

15.185818

13.575327

1608.07555

Xin Gao

Lara B. Anderson, Xin Gao, James Gray and Seung-Joo Lee

Multiple Fibrations in Calabi-Yau Geometry and String Dualities

55 pages, 9 figures, 2 tables

null

10.1007/JHEP10(2016)105

null

hep-th

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

In this work we explore the physics associated to Calabi-Yau (CY) n-folds that can be described as a fibration in more than one way. Beginning with F-theory vacua in various dimensions, we consider limits/dualities with M-theory, type IIA, and heterotic string theories. Our results include many M-/F-theory correspondences in which distinct F-theory vacua - associated to different elliptic fibrations of the same CY n-fold - give rise to the same M-theory limit in one dimension lower. Examples include 5-dimensional correspondences between 6-dimensional theories with Abelian, non-Abelian and superconformal structure, as well as examples of higher rank Mordell-Weil geometries. In addition, in the context of heterotic/F-theory duality, we investigate the role played by multiple K3- and elliptic fibrations in known and novel string dualities in 8-, 6- and 4-dimensional theories. Here we systematically summarize nested fibration structures and comment on the roles they play in T-duality, mirror symmetry, and 4-dimensional compactifications of F-theory with G-flux. This investigation of duality structures is made possible by geometric tools developed in a companion paper [1].

[ { "created": "Fri, 26 Aug 2016 18:29:36 GMT", "version": "v1" } ]

2016-11-23

[ [ "Anderson", "Lara B.", "" ], [ "Gao", "Xin", "" ], [ "Gray", "James", "" ], [ "Lee", "Seung-Joo", "" ] ]

In this work we explore the physics associated to Calabi-Yau (CY) n-folds that can be described as a fibration in more than one way. Beginning with F-theory vacua in various dimensions, we consider limits/dualities with M-theory, type IIA, and heterotic string theories. Our results include many M-/F-theory correspondences in which distinct F-theory vacua - associated to different elliptic fibrations of the same CY n-fold - give rise to the same M-theory limit in one dimension lower. Examples include 5-dimensional correspondences between 6-dimensional theories with Abelian, non-Abelian and superconformal structure, as well as examples of higher rank Mordell-Weil geometries. In addition, in the context of heterotic/F-theory duality, we investigate the role played by multiple K3- and elliptic fibrations in known and novel string dualities in 8-, 6- and 4-dimensional theories. Here we systematically summarize nested fibration structures and comment on the roles they play in T-duality, mirror symmetry, and 4-dimensional compactifications of F-theory with G-flux. This investigation of duality structures is made possible by geometric tools developed in a companion paper [1].

7.462714

7.865223

9.281926

7.670386

8.248696

8.012142

7.575515

8.329453

7.350923

9.350528

7.533883

7.668984

8.107487

7.585256

7.502143

7.701418

7.409513

7.637511

7.311138

7.928527

7.479939

hep-th/0103022

Alex Buchel

Alex Buchel, Andrew Frey

Comments on supergravity dual of pure N=1 Super Yang Mills theory with unbroken chiral symmetry

34 pages, LaTeX, v2: references added, v3: section 2 reduced, minor clarifications, to be published in PRD

Phys.Rev. D64 (2001) 064007

10.1103/PhysRevD.64.064007

NSF-ITP-01-16

hep-th

null

Maldacena and Nunez [hep-th/0008001] identified a gravity solution describing pure N=1 Yang-Mills (YM) in the IR. Their (smooth) supergravity solution exhibits confinement and the U(1)_R chiral symmetry breaking of the dual YM theory, while the singular solution corresponds to the gauge theory phase with unbroken U(1)_R chiral symmetry. In this paper we discuss supersymmetric type IIB compactifications on resolved conifolds with torsion. We rederive singular background of [hep-th/0008001] directly from the supersymmetry conditions. This solution is the relevant starting point to study non-BPS backgrounds dual to the high temperature phase of pure YM. We construct the simplest black hole solution in this background. We argue that it has a regular Schwarzschild horizon and provides a resolution of the IR singularity of the chirally symmetric extremal solution as suggested in [hep-th/0011146].

[ { "created": "Sun, 4 Mar 2001 20:06:27 GMT", "version": "v1" }, { "created": "Tue, 13 Mar 2001 21:55:49 GMT", "version": "v2" }, { "created": "Fri, 8 Jun 2001 00:05:48 GMT", "version": "v3" } ]

2009-11-07

[ [ "Buchel", "Alex", "" ], [ "Frey", "Andrew", "" ] ]

Maldacena and Nunez [hep-th/0008001] identified a gravity solution describing pure N=1 Yang-Mills (YM) in the IR. Their (smooth) supergravity solution exhibits confinement and the U(1)_R chiral symmetry breaking of the dual YM theory, while the singular solution corresponds to the gauge theory phase with unbroken U(1)_R chiral symmetry. In this paper we discuss supersymmetric type IIB compactifications on resolved conifolds with torsion. We rederive singular background of [hep-th/0008001] directly from the supersymmetry conditions. This solution is the relevant starting point to study non-BPS backgrounds dual to the high temperature phase of pure YM. We construct the simplest black hole solution in this background. We argue that it has a regular Schwarzschild horizon and provides a resolution of the IR singularity of the chirally symmetric extremal solution as suggested in [hep-th/0011146].

8.439418

8.696432

10.329429

7.799309

8.073095

7.97345

8.283886

8.630262

7.672601

11.459475

8.353098

8.115062

8.728858

8.299737

8.218131

8.224686

8.267213

7.9883

8.288692

9.266446

8.168654

0705.2716

Frank G\"ohmann

Herman E. Boos, Frank G\"ohmann, Andreas Kl\"umper and Junji Suzuki

Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field

35 pages

J.Phys.A40:10699-10728,2007

10.1088/1751-8113/40/35/001

null

hep-th cond-mat.str-el

null

We present a conjecture for the density matrix of a finite segment of the XXZ chain coupled to a heat bath and to a constant longitudinal magnetic field. It states that the inhomogeneous density matrix, conceived as a map which associates with every local operator its thermal expectation value, can be written as the trace of the exponential of an operator constructed from weighted traces of the elements of certain monodromy matrices related to $U_q (\hat{\mathfrak{sl}}_2)$ and only two transcendental functions pertaining to the one-point function and the neighbour correlators, respectively. Our conjecture implies that all static correlation functions of the XXZ chain are polynomials in these two functions and their derivatives with coefficients of purely algebraic origin.

[ { "created": "Fri, 18 May 2007 15:06:29 GMT", "version": "v1" } ]

2008-11-26

[ [ "Boos", "Herman E.", "" ], [ "Göhmann", "Frank", "" ], [ "Klümper", "Andreas", "" ], [ "Suzuki", "Junji", "" ] ]

We present a conjecture for the density matrix of a finite segment of the XXZ chain coupled to a heat bath and to a constant longitudinal magnetic field. It states that the inhomogeneous density matrix, conceived as a map which associates with every local operator its thermal expectation value, can be written as the trace of the exponential of an operator constructed from weighted traces of the elements of certain monodromy matrices related to $U_q (\hat{\mathfrak{sl}}_2)$ and only two transcendental functions pertaining to the one-point function and the neighbour correlators, respectively. Our conjecture implies that all static correlation functions of the XXZ chain are polynomials in these two functions and their derivatives with coefficients of purely algebraic origin.

10.445252

11.114372

12.367885

10.73736

11.054649

11.588768

12.39681

11.738281

10.790733

12.255769

11.281101

10.82004

10.506795

10.706337

10.930855

10.970625

10.82247

10.557843

10.636864

10.359026

10.604172

1502.01230

W. N. Polyzou

Marc Herrmann and Wayne Polyzou

The Light-Front Vacuum

17 Pages

Phys. Rev. D 91, 085043 (2015)

10.1103/PhysRevD.91.085043

null

hep-th nucl-th

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

Background: The vacuum in the light-front representation of quantum field theory is trivial while vacuum in the equivalent canonical representation of the same theory is non-trivial. Purpose: Understand the relation between the vacuum in light-front and canonical representations of quantum field theory and the role of zero-modes in this relation. Method: Vacuua are defined as linear functionals on an algebra of field operators. The role of the algebra in the definition of the vacuum is exploited to understand this relation. Results: The vacuum functional can be extended from the light-front Fock algebra to an algebra of local observables. The extension to the algebra of local observables is responsible for the inequivalence. The extension defines a unitary mapping between the physical representation of the local algebra and a sub-algebra of the light-front Fock algebra. Conclusion: There is a unitary mapping from the physical representation of the algebra of local observables to a sub-algebra of the light-front Fock algebra with the free light-front Fock vacuum. The dynamics appears in the mapping and the structure of the sub-algebra. This correspondence provides a formulation of locality and Poincar\'e invariance on the light-front Fock space.

[ { "created": "Wed, 4 Feb 2015 15:26:35 GMT", "version": "v1" } ]

2015-05-06

[ [ "Herrmann", "Marc", "" ], [ "Polyzou", "Wayne", "" ] ]

Background: The vacuum in the light-front representation of quantum field theory is trivial while vacuum in the equivalent canonical representation of the same theory is non-trivial. Purpose: Understand the relation between the vacuum in light-front and canonical representations of quantum field theory and the role of zero-modes in this relation. Method: Vacuua are defined as linear functionals on an algebra of field operators. The role of the algebra in the definition of the vacuum is exploited to understand this relation. Results: The vacuum functional can be extended from the light-front Fock algebra to an algebra of local observables. The extension to the algebra of local observables is responsible for the inequivalence. The extension defines a unitary mapping between the physical representation of the local algebra and a sub-algebra of the light-front Fock algebra. Conclusion: There is a unitary mapping from the physical representation of the algebra of local observables to a sub-algebra of the light-front Fock algebra with the free light-front Fock vacuum. The dynamics appears in the mapping and the structure of the sub-algebra. This correspondence provides a formulation of locality and Poincar\'e invariance on the light-front Fock space.

6.162481

6.103499

6.007257

5.756286

6.536776

6.50039

6.455844

5.665957

5.798102

6.490885

6.014158

5.736868

5.831111

5.806564

5.854514

5.825785

5.708223

5.847528

5.718645

5.831702

5.754316

1109.1249

Sang Pyo Kim

Sang Pyo Kim (Kunsan Nat'l Univ., Nat'l Taiwan Univ., and YITP, Kyoto Univ.)

QED Effective Action in Magnetic Field Backgrounds and Electromagnetic Duality

RevTex 8 pages; no figure; the abridged version of arXiv:1105.4382 (Secs. I and IV-VII and Appendix B3) published in Phys. Rev. D

Phys.Rev.D84:065004,2011

10.1103/PhysRevD.84.065004

null

hep-th astro-ph.HE hep-ph nucl-th

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

In the in-out formalism we advance a method of the inverse scattering matrix for calculating effective actions in pure magnetic field backgrounds. The one-loop effective actions are found in a localized magnetic field of Sauter type and approximately in a general magnetic field by applying the uniform semiclassical approximation. The effective actions exhibit the electromagnetic duality between a constant electric field and a constant magnetic field and between $E(x) = E sech^2 (x/L)$ and $B(x) = B sech^2 (x/L)$.

[ { "created": "Tue, 6 Sep 2011 18:00:15 GMT", "version": "v1" } ]

2015-05-30

[ [ "Kim", "Sang Pyo", "", "Kunsan Nat'l Univ., Nat'l Taiwan Univ., and YITP, Kyoto\n Univ." ] ]

In the in-out formalism we advance a method of the inverse scattering matrix for calculating effective actions in pure magnetic field backgrounds. The one-loop effective actions are found in a localized magnetic field of Sauter type and approximately in a general magnetic field by applying the uniform semiclassical approximation. The effective actions exhibit the electromagnetic duality between a constant electric field and a constant magnetic field and between $E(x) = E sech^2 (x/L)$ and $B(x) = B sech^2 (x/L)$.

13.832216

8.783095

12.243362

9.285514

10.6572

10.9329

10.339519

10.365825

9.255386

11.65223

10.031992

10.267094

11.232259

10.47764

10.303135

10.47627

10.716181

10.671169

10.825373

11.303269

11.051584

1104.0783

Marcos Marino

Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories

73 pages, 7 figures. v2: references and clarifications added, misprints corrected. v3: more references, clarifications, and corrections. v4: more corrections and clarifications, final version to appear in J. Phys. A

null

10.1088/1751-8113/44/46/463001

null

hep-th

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

In these lectures I give a pedagogical presentation of some of the recent progress in supersymmetric Chern-Simons-matter theories, coming from the use of localization and matrix model techniques. The goal is to provide a simple derivation of the exact interpolating function for the free energy of ABJM theory on the three-sphere, which implies in particular the N^{3/2} behavior at strong coupling. I explain in detail part of the background needed to understand this derivation, like holographic renormalization, localization of path integrals, and large N techniques in matrix models

[ { "created": "Tue, 5 Apr 2011 09:20:14 GMT", "version": "v1" }, { "created": "Thu, 26 May 2011 14:47:59 GMT", "version": "v2" }, { "created": "Fri, 10 Jun 2011 17:51:02 GMT", "version": "v3" }, { "created": "Thu, 6 Oct 2011 20:33:49 GMT", "version": "v4" }, { "created": "Fri, 15 Jun 2012 10:48:12 GMT", "version": "v5" } ]

2015-05-27

[ [ "Marino", "Marcos", "" ] ]

In these lectures I give a pedagogical presentation of some of the recent progress in supersymmetric Chern-Simons-matter theories, coming from the use of localization and matrix model techniques. The goal is to provide a simple derivation of the exact interpolating function for the free energy of ABJM theory on the three-sphere, which implies in particular the N^{3/2} behavior at strong coupling. I explain in detail part of the background needed to understand this derivation, like holographic renormalization, localization of path integrals, and large N techniques in matrix models

6.619448

6.046506

7.552832

6.124007

6.039514

6.074265

5.910442

5.693951

6.067355

7.466176

5.993479

6.20715

6.754632

6.372037

6.082842

6.296062

6.170133

6.08643

6.275775

6.84936

5.93342

2402.18473

Urs Schreiber

Hisham Sati and Urs Schreiber

Flux Quantization

34+6 pages, many figures, commissioned for the Encyclopedia of Mathematical Physics 2nd ed

null

hep-th math-ph math.AT math.DG math.KT math.MP

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

Flux- and charge-quantization laws for higher gauge fields of Maxwell type -- e.g. the common electromagnetic field (the "A-field") but also the B-, RR-, and C-fields considered in string/M-theory -- specify non-perturbative completions of these fields by encoding their solitonic behaviour and hence by specifying the discrete charges carried by the individual branes (higher-dimensional monopoles or solitons) that source the field fluxes. This article surveys the general (rational-)homotopy theoretic understanding of flux- and charge-quantization via the Chern-Dold character map generalized to the non-linear (self-sourcing) Bianchi identities that appear in higher-dimensional supergravity theories, notably for B&RR-fields in D=10, for the C-field in D=11 supergravity, and for the B-field on fivebrane worldvolumes.

[ { "created": "Wed, 28 Feb 2024 16:50:38 GMT", "version": "v1" } ]

2024-02-29

[ [ "Sati", "Hisham", "" ], [ "Schreiber", "Urs", "" ] ]

Flux- and charge-quantization laws for higher gauge fields of Maxwell type -- e.g. the common electromagnetic field (the "A-field") but also the B-, RR-, and C-fields considered in string/M-theory -- specify non-perturbative completions of these fields by encoding their solitonic behaviour and hence by specifying the discrete charges carried by the individual branes (higher-dimensional monopoles or solitons) that source the field fluxes. This article surveys the general (rational-)homotopy theoretic understanding of flux- and charge-quantization via the Chern-Dold character map generalized to the non-linear (self-sourcing) Bianchi identities that appear in higher-dimensional supergravity theories, notably for B&RR-fields in D=10, for the C-field in D=11 supergravity, and for the B-field on fivebrane worldvolumes.

15.602034

17.899448

17.928112

16.129623

16.674061

18.765627

19.82715

17.502037

16.77619

19.255213

15.964715

15.590833

14.748669

14.985642

15.081409

14.95949

15.153332

15.22379

15.164117

15.481038

14.946042

2007.04667

Zhenghao Zhong

Antoine Bourget, Julius F. Grimminger, Amihay Hanany, Rudolph Kalveks, Marcus Sperling and Zhenghao Zhong

Magnetic Lattices for Orthosymplectic Quivers

v2: 44 pages + appendices, matches JHEP version, added references and fixed typos

null

10.1007/JHEP12(2020)092

Imperial/TP/20/AH/07

hep-th

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

For any gauge theory, there may be a subgroup of the gauge group which acts trivially on the matter content. While many physical observables are not sensitive to this fact, the identification of the precise gauge group becomes crucial when the magnetic spectrum of the theory is considered. This question is addressed in the context of Coulomb branches for $3$d $\mathcal{N}=4$ quiver gauge theories, which are moduli spaces of dressed monopole operators. Since monopole operators are characterized by their magnetic charge, the identification of the gauge group is imperative for the determination of the magnetic lattice. It is well-known that the gauge group of unframed unitary quivers is the product of all unitary nodes in the quiver modded out by the diagonal $\mathrm{U}(1)$ acting trivially on the matter representation. This reasoning generalises to the notion that a choice of gauge group associated to a quiver is given by the product of the individual nodes quotiented by any subgroup that acts trivially on the matter content. For unframed (unitary-) orthosymplectic quivers composed of $\mathrm{SO}(\textrm{even})$, $\mathrm{USp}$, and possibly $\mathrm{U}$ gauge nodes, the maximal subgroup acting trivially is a diagonal $\mathbb{Z}_2$. For unframed unitary quivers with a single $\mathrm{SU}(N)$ node it is $\mathbb{Z}_N$. We use this notion to compute the Coulomb branch Hilbert series of many unitary-orthosymplectic quivers. Examples include nilpotent orbit closures of the exceptional E-type algebras and magnetic quivers that arise from brane physics. This includes Higgs branches of theories with 8 supercharges in dimensions $4$, $5$, and $6$. A crucial ingredient in the calculation of exact refined Hilbert series is the alternative construction of unframed magnetic quivers from resolved Slodowy slices, whose Hilbert series can be derived from Hall-Littlewood polynomials.

[ { "created": "Thu, 9 Jul 2020 09:50:57 GMT", "version": "v1" }, { "created": "Mon, 14 Dec 2020 13:34:12 GMT", "version": "v2" } ]

2020-12-30

[ [ "Bourget", "Antoine", "" ], [ "Grimminger", "Julius F.", "" ], [ "Hanany", "Amihay", "" ], [ "Kalveks", "Rudolph", "" ], [ "Sperling", "Marcus", "" ], [ "Zhong", "Zhenghao", "" ] ]

For any gauge theory, there may be a subgroup of the gauge group which acts trivially on the matter content. While many physical observables are not sensitive to this fact, the identification of the precise gauge group becomes crucial when the magnetic spectrum of the theory is considered. This question is addressed in the context of Coulomb branches for $3$d $\mathcal{N}=4$ quiver gauge theories, which are moduli spaces of dressed monopole operators. Since monopole operators are characterized by their magnetic charge, the identification of the gauge group is imperative for the determination of the magnetic lattice. It is well-known that the gauge group of unframed unitary quivers is the product of all unitary nodes in the quiver modded out by the diagonal $\mathrm{U}(1)$ acting trivially on the matter representation. This reasoning generalises to the notion that a choice of gauge group associated to a quiver is given by the product of the individual nodes quotiented by any subgroup that acts trivially on the matter content. For unframed (unitary-) orthosymplectic quivers composed of $\mathrm{SO}(\textrm{even})$, $\mathrm{USp}$, and possibly $\mathrm{U}$ gauge nodes, the maximal subgroup acting trivially is a diagonal $\mathbb{Z}_2$. For unframed unitary quivers with a single $\mathrm{SU}(N)$ node it is $\mathbb{Z}_N$. We use this notion to compute the Coulomb branch Hilbert series of many unitary-orthosymplectic quivers. Examples include nilpotent orbit closures of the exceptional E-type algebras and magnetic quivers that arise from brane physics. This includes Higgs branches of theories with 8 supercharges in dimensions $4$, $5$, and $6$. A crucial ingredient in the calculation of exact refined Hilbert series is the alternative construction of unframed magnetic quivers from resolved Slodowy slices, whose Hilbert series can be derived from Hall-Littlewood polynomials.

6.36779

6.195148

7.403338

6.340819

6.405514

6.404317

6.401642

6.348926

6.469265

7.796561

6.036302

6.14066

6.670192

6.228118

6.229568

6.175474

6.284168

6.328424

6.330501

6.61112

6.129391

hep-th/0409316

Vladimir Akulov

V.P.Akulov (CUNY), Sultan Catto (CUNY),\fbox{A.I.Pashnev}(JINR)Dubna

N=2 SuperTime Dependent Oscillator and spontaneous Breaking of Supersymmetry

12 pages, To appear in Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'03, 24-29 July, 2003), Dubna, Russian Federation

null

hep-th

null

Using the nonlinear realizations of the N=2 superVirasoro group we construct the action of the N=2 Superconformal Quantum Mechanics(SCQM) with additional harmonic potential.We show that SU(1,1|1) invariance group of this action is nontrivially embedded in the N=2 Super Virasoro group.The generalization for the (super)time dependent oscillator is constructed.In a particular case when the oscillator frequency depends on the proper-time anticommuting coordinates the unusual effect of spontaneous breaking of the supersymmetry takes place: the Masses of bosons and fermions can have different nonzero values.

[ { "created": "Thu, 30 Sep 2004 16:05:31 GMT", "version": "v1" } ]

2007-05-23

[ [ "Akulov", "V. P.", "", "CUNY" ], [ "Catto", "Sultan", "", "CUNY" ], [ "Pashnev}", "\\fbox{A. I.", "", "JINR" ], [ "Dubna", "", "" ] ]

Using the nonlinear realizations of the N=2 superVirasoro group we construct the action of the N=2 Superconformal Quantum Mechanics(SCQM) with additional harmonic potential.We show that SU(1,1|1) invariance group of this action is nontrivially embedded in the N=2 Super Virasoro group.The generalization for the (super)time dependent oscillator is constructed.In a particular case when the oscillator frequency depends on the proper-time anticommuting coordinates the unusual effect of spontaneous breaking of the supersymmetry takes place: the Masses of bosons and fermions can have different nonzero values.

11.642546

10.366045

11.120697

9.988179

10.290946

11.313498

10.241544

9.894094

9.487976

11.049878

9.911673

9.645133

10.415244

9.719131

9.723468

9.922752

9.673226

9.902968

9.990347

10.456701

10.035653

hep-th/9501102

null

A.L. Larsen (Obs. de Paris, DEMIRM), N. Sanchez (Obs. de Paris, DEMIRM)

The Effect of Spatial Curvature on the Classical and Quantum Strings

30 pages Latex + three tables and five figures (not included)

Int.J.Mod.Phys.A11:4005-4030,1996

10.1142/S0217751X96001887

DEMIRM-Obs. de Paris-95004

hep-th astro-ph gr-qc

null

We study the effects of the spatial curvature on the classical and quantum string dynamics. We find the general solution of the circular string motion in static Robertson-Walker spacetimes with closed or open sections. This is given closely and completely in terms of elliptic functions. The physical properties, string length, energy and pressure are computed and analyzed. We find the {\it back-reaction} effect of these strings on the spacetime: the self-consistent solution to the Einstein equations is a spatially closed $(K>0)$ spacetime with a selected value of the curvature index $K$ (the scale f* is normalized to unity). No self-consistent solutions with $K\leq 0$ exist. We semi-classically quantize the circular strings and find the mass $m$ in each case. For $K>0,$ the very massive strings, oscillating on the full hypersphere, have $m^2\sim K n^2\;\;(n\in N_0)$ {\it independent} of $\alpha'$ and the level spacing {\it grows} with $n,$ while the strings oscillating on one hemisphere (without crossing the equator) have $m^2\alpha'\sim n$ and a {\it finite} number of states $N\sim 1/(K\alpha').$ For $K<0,$ there are infinitely many string states with masses $m\log m\sim n,$ that is, the level spacing grows {\it slower} than $n.$ The stationary string solutions as well as the generic string fluctuations around the center of mass are also found and analyzed in closed form.

[ { "created": "Mon, 23 Jan 1995 15:26:39 GMT", "version": "v1" } ]

2010-11-01

[ [ "Larsen", "A. L.", "", "Obs. de Paris, DEMIRM" ], [ "Sanchez", "N.", "", "Obs. de Paris,\n DEMIRM" ] ]

We study the effects of the spatial curvature on the classical and quantum string dynamics. We find the general solution of the circular string motion in static Robertson-Walker spacetimes with closed or open sections. This is given closely and completely in terms of elliptic functions. The physical properties, string length, energy and pressure are computed and analyzed. We find the {\it back-reaction} effect of these strings on the spacetime: the self-consistent solution to the Einstein equations is a spatially closed $(K>0)$ spacetime with a selected value of the curvature index $K$ (the scale f* is normalized to unity). No self-consistent solutions with $K\leq 0$ exist. We semi-classically quantize the circular strings and find the mass $m$ in each case. For $K>0,$ the very massive strings, oscillating on the full hypersphere, have $m^2\sim K n^2\;\;(n\in N_0)$ {\it independent} of $\alpha'$ and the level spacing {\it grows} with $n,$ while the strings oscillating on one hemisphere (without crossing the equator) have $m^2\alpha'\sim n$ and a {\it finite} number of states $N\sim 1/(K\alpha').$ For $K<0,$ there are infinitely many string states with masses $m\log m\sim n,$ that is, the level spacing grows {\it slower} than $n.$ The stationary string solutions as well as the generic string fluctuations around the center of mass are also found and analyzed in closed form.

8.735077

8.897786

9.297337

8.60356

9.565763

8.756497

9.215371

8.580994

8.443488

9.606346

8.671075

8.489473

8.632795

8.467015

8.735862

8.48584

8.750607

8.375738

8.605448

8.539217

8.800271

2308.11377

Igor V. Volovich

Igor Volovich

Cosmological Constant and Maximum of Entropy for de Sitter Space

9 pages, 4 figures, refs added

null

hep-th

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

There are at least two cosmological constants calling for explanation. The first one describes the quasi-de Sitter inflation in the early universe, and the second describes the current acceleration of the universe associated with dark energy. An approach to the computation of the inflationary cosmological constant in the early universe is proposed. The tunneling and no-boundary proposals suggest that the ground state of the early universe is the de Sitter space. In this paper it is argued that the radius of the de Sitter space, i.e. the cosmological constant, can be computed using the principle of maximum entropy. The universe emerges from ``nothing" that corresponds to a minimum of entropy. The entropy reaches its maximal value for the 4-dimensional de Sitter space with the inflationary cosmological constant $\Lambda=3\pi\,\exp\{-\psi(3/2)\}$, where $\psi$ is the digamma function, $\Lambda\approx 9.087$ in Planck units.

[ { "created": "Tue, 22 Aug 2023 12:02:31 GMT", "version": "v1" }, { "created": "Fri, 1 Sep 2023 14:43:50 GMT", "version": "v2" }, { "created": "Tue, 30 Apr 2024 14:51:25 GMT", "version": "v3" } ]

2024-05-01

[ [ "Volovich", "Igor", "" ] ]

There are at least two cosmological constants calling for explanation. The first one describes the quasi-de Sitter inflation in the early universe, and the second describes the current acceleration of the universe associated with dark energy. An approach to the computation of the inflationary cosmological constant in the early universe is proposed. The tunneling and no-boundary proposals suggest that the ground state of the early universe is the de Sitter space. In this paper it is argued that the radius of the de Sitter space, i.e. the cosmological constant, can be computed using the principle of maximum entropy. The universe emerges from ``nothing" that corresponds to a minimum of entropy. The entropy reaches its maximal value for the 4-dimensional de Sitter space with the inflationary cosmological constant $\Lambda=3\pi\,\exp\{-\psi(3/2)\}$, where $\psi$ is the digamma function, $\Lambda\approx 9.087$ in Planck units.

6.781826

7.542149

6.498966

6.227546

6.977303

7.389224

7.036415

6.989518

7.138457

7.406724

6.516603

6.614508

6.478963

6.415127

6.77957

6.567996

6.578428

6.597863

6.486196

6.394346

6.4564

1609.01628

Tsunehide Kuroki

Tsunehide Kuroki and Fumihiko Sugino

One-point functions of non-SUSY operators at arbitrary genus in a matrix model for type IIA superstrings

37 pages, 2 figures, v2: figures improved, v3: typos corrected, published version in Nuclear Physics B

null

10.1016/j.nuclphysb.2017.03.018

OIQP-16-05

hep-th

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

In the previous paper, the authors pointed out correspondence between a supersymmetric double-well matrix model and two-dimensional type IIA superstring theory on a Ramond-Ramond background from the viewpoint of symmetry and spectrum. This was confirmed by agreement between planar correlation functions in the matrix model and tree-level amplitudes in the superstring theory. In order to investigate the correspondence further, in this paper we compute correlation functions to all order of genus expansion in the double scaling limit of the matrix model. One-point functions of operators protected by supersymmetry terminate at some finite order, whereas those of unprotected operators yield non-Borel summable series. The behavior of the latter is characteristic in string perturbation series, providing further evidence that the matrix model describes a string theory. Moreover, instanton corrections to the planar one-point functions are also computed, and universal logarithmic scaling behavior is found for non-supersymmetric operators.

[ { "created": "Tue, 6 Sep 2016 15:58:16 GMT", "version": "v1" }, { "created": "Fri, 16 Sep 2016 03:34:55 GMT", "version": "v2" }, { "created": "Sat, 1 Apr 2017 11:18:54 GMT", "version": "v3" } ]

2017-04-26

[ [ "Kuroki", "Tsunehide", "" ], [ "Sugino", "Fumihiko", "" ] ]

In the previous paper, the authors pointed out correspondence between a supersymmetric double-well matrix model and two-dimensional type IIA superstring theory on a Ramond-Ramond background from the viewpoint of symmetry and spectrum. This was confirmed by agreement between planar correlation functions in the matrix model and tree-level amplitudes in the superstring theory. In order to investigate the correspondence further, in this paper we compute correlation functions to all order of genus expansion in the double scaling limit of the matrix model. One-point functions of operators protected by supersymmetry terminate at some finite order, whereas those of unprotected operators yield non-Borel summable series. The behavior of the latter is characteristic in string perturbation series, providing further evidence that the matrix model describes a string theory. Moreover, instanton corrections to the planar one-point functions are also computed, and universal logarithmic scaling behavior is found for non-supersymmetric operators.

7.93827

6.519038

9.795192

7.126576

6.695839

7.636728

6.904689

6.683878

7.004734

11.093377

7.169966

7.442032

8.553843

7.583794

7.390936

7.583743

7.345362

7.385285

7.486233

8.261265

7.338766

hep-th/9407017

null

H. Aratyn, E. Nissimov, S. Pacheva and A.H. Zimerman

Two-Matrix String Model as Constrained (2+1)-Dimensional Integrable System

12+1 pgs., LaTeX, preprint: BGU-94 / 15 / June-PH, UICHEP-TH/94-6

Phys.Lett. B341 (1994) 19-30

10.1016/0370-2693(94)01255-5

null

hep-th nlin.SI solv-int

null

We show that the 2-matrix string model corresponds to a coupled system of $2+1$-dimensional KP and modified KP ($\KPm$) integrable equations subject to a specific ``symmetry'' constraint. The latter together with the Miura-Konopelchenko map for $\KPm$ are the continuum incarnation of the matrix string equation. The $\KPm$ Miura and B\"{a}cklund transformations are natural consequences of the underlying lattice structure. The constrained $\KPm$ system is equivalent to a $1+1$-dimensional generalized KP-KdV hierarchy related to graded ${\bf SL(3,1)}$. We provide an explicit representation of this hierarchy, including the associated ${\bf W(2,1)}$-algebra of the second Hamiltonian structure, in terms of free currents.

[ { "created": "Mon, 4 Jul 1994 20:33:44 GMT", "version": "v1" } ]

2009-10-28

[ [ "Aratyn", "H.", "" ], [ "Nissimov", "E.", "" ], [ "Pacheva", "S.", "" ], [ "Zimerman", "A. H.", "" ] ]

We show that the 2-matrix string model corresponds to a coupled system of $2+1$-dimensional KP and modified KP ($\KPm$) integrable equations subject to a specific ``symmetry'' constraint. The latter together with the Miura-Konopelchenko map for $\KPm$ are the continuum incarnation of the matrix string equation. The $\KPm$ Miura and B\"{a}cklund transformations are natural consequences of the underlying lattice structure. The constrained $\KPm$ system is equivalent to a $1+1$-dimensional generalized KP-KdV hierarchy related to graded ${\bf SL(3,1)}$. We provide an explicit representation of this hierarchy, including the associated ${\bf W(2,1)}$-algebra of the second Hamiltonian structure, in terms of free currents.

10.604218

10.484032

12.463514

9.578865

10.443913

10.983776

10.962413

10.010952

9.652541

14.375799

10.21751

9.756359

10.433539

10.061687

9.897994

9.941053

9.894861

9.845058

9.840327

10.413429

9.744963

hep-th/9203021

Hiroshi Suzuki

Joaquim Gomis and Hiroshi Suzuki

Covariant Currents in N=2 Super-Liouville Theory

30 pages

Nucl.Phys. B393 (1993) 126-148

10.1016/0550-3213(93)90241-G

null

hep-th

null

Based on a path integral prescription for anomaly calculation, we analyze an effective theory of the two-dimensional $N=2$ supergravity, i.e., $N=2$ super-Liouville theory. We calculate the anomalies associated with the BRST supercurrent and the ghost number supercurrent. From those expressions of anomalies, we construct covariant BRST and ghost number supercurrents in the effective theory. We then show that the (super-)coordinate BRST current algebra forms a superfield extension of the topological conformal algebra for an {\it arbitrary\/} type of conformal matter or, in terms of the string theory, for an arbitrary number of space-time dimensions. This fact is very contrast with $N=0$ and $N=1$ (super-)Liouville theory, where the topological algebra singles out a particular value of dimensions. Our observation suggests a topological nature of the two-dimensional $N=2$ supergravity as a quantum theory.

[ { "created": "Mon, 9 Mar 1992 06:03:43 GMT", "version": "v1" } ]

2009-10-22

[ [ "Gomis", "Joaquim", "" ], [ "Suzuki", "Hiroshi", "" ] ]

Based on a path integral prescription for anomaly calculation, we analyze an effective theory of the two-dimensional $N=2$ supergravity, i.e., $N=2$ super-Liouville theory. We calculate the anomalies associated with the BRST supercurrent and the ghost number supercurrent. From those expressions of anomalies, we construct covariant BRST and ghost number supercurrents in the effective theory. We then show that the (super-)coordinate BRST current algebra forms a superfield extension of the topological conformal algebra for an {\it arbitrary\/} type of conformal matter or, in terms of the string theory, for an arbitrary number of space-time dimensions. This fact is very contrast with $N=0$ and $N=1$ (super-)Liouville theory, where the topological algebra singles out a particular value of dimensions. Our observation suggests a topological nature of the two-dimensional $N=2$ supergravity as a quantum theory.

8.797668

8.509431

9.188227

8.444353

8.976319

9.177188

9.213342

8.253773

8.731708

10.016639

8.261488

8.668408

9.009648

8.595749

8.582237

8.517069

8.500634

8.388599

8.652365

9.083688

8.208645

0804.1890

Levent Akant

Equivariant Localization in Stochastic Quantization and Quenched Matrix Models

28 pages

null

hep-th

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

It is shown that Parisi-Sourlas supersymmetry of stochastic quantization is a Cartan model of equivariant cohomology. Equivariant cohomological structure of stochastic quantization of linear and non-linear sigma models are discussed. Witten's nonabelian localization principle is applied to the stochastic quantization of matrix models. As a result the equivalence between the original matrix model and the corresponding quenched Eguchi-Kawai model is established.

[ { "created": "Fri, 11 Apr 2008 13:01:26 GMT", "version": "v1" } ]

2008-04-14

[ [ "Akant", "Levent", "" ] ]

It is shown that Parisi-Sourlas supersymmetry of stochastic quantization is a Cartan model of equivariant cohomology. Equivariant cohomological structure of stochastic quantization of linear and non-linear sigma models are discussed. Witten's nonabelian localization principle is applied to the stochastic quantization of matrix models. As a result the equivalence between the original matrix model and the corresponding quenched Eguchi-Kawai model is established.

9.44448

8.089436

9.152479

7.784037

8.03893

7.907872

7.510843

7.989351

7.401382

11.116344

7.480314

8.169124

8.246413

7.90622

7.758554

7.735719

8.204747

7.72141

7.478353

8.022623

7.809171

0907.4986

Hassan Firouzjahi

Hassan Firouzjahi, Johanna Karouby, Shahram Khosravi and Robert Brandenberger

Zipping and Unzipping of Cosmic String Loops in Collision

references added, typos corrected, PRD version

Phys.Rev.D80:083508,2009

10.1103/PhysRevD.80.083508

null

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

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

In this paper the collision of two cosmic string loops is studied. After collision junctions are formed and the loops are entangled. We show that after their formation the junctions start to unzip and the loops disentangle. This analysis provides a theoretical understanding of the unzipping effect observed in numerical simulations of a network of cosmic strings with more than one type of cosmic strings. The unzipping phenomena have important effects in the evolution of cosmic string networks when junctions are formed upon collision, such as in a network of cosmic superstrings.

[ { "created": "Tue, 28 Jul 2009 20:03:25 GMT", "version": "v1" }, { "created": "Mon, 26 Oct 2009 08:14:07 GMT", "version": "v2" } ]

2009-11-06

[ [ "Firouzjahi", "Hassan", "" ], [ "Karouby", "Johanna", "" ], [ "Khosravi", "Shahram", "" ], [ "Brandenberger", "Robert", "" ] ]

In this paper the collision of two cosmic string loops is studied. After collision junctions are formed and the loops are entangled. We show that after their formation the junctions start to unzip and the loops disentangle. This analysis provides a theoretical understanding of the unzipping effect observed in numerical simulations of a network of cosmic strings with more than one type of cosmic strings. The unzipping phenomena have important effects in the evolution of cosmic string networks when junctions are formed upon collision, such as in a network of cosmic superstrings.

8.369656

7.994471

7.930534

7.528148

8.264277

8.430089

8.40432

8.275504

7.857662

8.212076

8.277294

8.073762

8.019758

7.891348

7.846628

7.931062

8.025389

8.107912

7.70338

7.995574

7.908119

1304.5778

Lenhard Ng

Mina Aganagic, Tobias Ekholm, Lenhard Ng, Cumrun Vafa

Topological Strings, D-Model, and Knot Contact Homology

154 pages, 25 figures; v2: modified mathematical approach in section 6.3 to change holomorphic disks to trees of holomorphic disks, and separated part of the discussion into a new section 6.4

Adv. Theor. Math. Phys. 18 (2014), no. 4, 827-956

10.4310/ATMP.2014.v18.n4.a3

null

hep-th math.AG math.GT math.SG

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

We study the connection between topological strings and contact homology recently proposed in the context of knot invariants. In particular, we establish the proposed relation between the Gromov-Witten disk amplitudes of a Lagrangian associated to a knot and augmentations of its contact homology algebra. This also implies the equality between the Q-deformed A-polynomial and the augmentation polynomial of knot contact homology (in the irreducible case). We also generalize this relation to the case of links and to higher rank representations for knots. The generalization involves a study of the quantum moduli space of special Lagrangian branes with higher Betti numbers probing the Calabi-Yau. This leads to an extension of SYZ, and a new notion of mirror symmetry, involving higher dimensional mirrors. The mirror theory is a topological string, related to D-modules, which we call the "D-model." In the present setting, the mirror manifold is the augmentation variety of the link. Connecting further to contact geometry, we study intersection properties of branches of the augmentation variety guided by the relation to D-modules. This study leads us to propose concrete geometric constructions of Lagrangian fillings for links. We also relate the augmentation variety with the large N limit of the colored HOMFLY, which we conjecture to be related to a Q-deformation of the extension of A-polynomials associated with the link complement.

[ { "created": "Sun, 21 Apr 2013 18:56:07 GMT", "version": "v1" }, { "created": "Mon, 23 Dec 2013 20:27:39 GMT", "version": "v2" } ]

2015-09-01

[ [ "Aganagic", "Mina", "" ], [ "Ekholm", "Tobias", "" ], [ "Ng", "Lenhard", "" ], [ "Vafa", "Cumrun", "" ] ]

We study the connection between topological strings and contact homology recently proposed in the context of knot invariants. In particular, we establish the proposed relation between the Gromov-Witten disk amplitudes of a Lagrangian associated to a knot and augmentations of its contact homology algebra. This also implies the equality between the Q-deformed A-polynomial and the augmentation polynomial of knot contact homology (in the irreducible case). We also generalize this relation to the case of links and to higher rank representations for knots. The generalization involves a study of the quantum moduli space of special Lagrangian branes with higher Betti numbers probing the Calabi-Yau. This leads to an extension of SYZ, and a new notion of mirror symmetry, involving higher dimensional mirrors. The mirror theory is a topological string, related to D-modules, which we call the "D-model." In the present setting, the mirror manifold is the augmentation variety of the link. Connecting further to contact geometry, we study intersection properties of branches of the augmentation variety guided by the relation to D-modules. This study leads us to propose concrete geometric constructions of Lagrangian fillings for links. We also relate the augmentation variety with the large N limit of the colored HOMFLY, which we conjecture to be related to a Q-deformation of the extension of A-polynomials associated with the link complement.

9.067708

10.490502

11.529851

9.717146

9.630763

10.693996

10.01561

10.565574

9.750937

11.669823

9.636223

9.019017

9.599165

8.946853

8.78374

9.021534

9.145535

9.269688

9.120317

9.4583

8.944769

0810.5384

Stanley Deser

S. Deser

Distended Topologically Massive Electrodynamics

Dedicated to the memory of Wolfgang Kummer, intrepid explorer of (a somewhat) lower dimension. To appear in Kummer memorial volume

Fundamental Interactions - A Memorial Volume for Wolfgang Kummer EDITORS: Daniel Grumiller, Anton Rebhan and Dimitri Vassilevich YEAR: 2009 PUBLISHER: World Scientific ISBN: 978-981-4273-07-7

null

hep-th gr-qc

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

We extend topologically massive electrodynamics, both by adding a higher derivative action to cast the entire three-term model in Chern-Simons (CS) form, and by embedding it in an AdS background. It can then be written as the sum of two CS terms, one of which vanishes at the "chiral" point, in analogy with its gravitational topologically massive counterpart. Separately we treat pure CS electrodynamics plus Einstein gravity interacting with point sources. The gravity/vector field equations decouple; their solutions are the familiar exterior "conical" metric and vector potentials.

[ { "created": "Wed, 29 Oct 2008 23:25:57 GMT", "version": "v1" } ]

2009-11-11

[ [ "Deser", "S.", "" ] ]

We extend topologically massive electrodynamics, both by adding a higher derivative action to cast the entire three-term model in Chern-Simons (CS) form, and by embedding it in an AdS background. It can then be written as the sum of two CS terms, one of which vanishes at the "chiral" point, in analogy with its gravitational topologically massive counterpart. Separately we treat pure CS electrodynamics plus Einstein gravity interacting with point sources. The gravity/vector field equations decouple; their solutions are the familiar exterior "conical" metric and vector potentials.

17.793941

19.389565

17.687283

16.006655

16.37771

16.547413

16.838999

17.262348

16.769119

19.641594

15.742808

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16.605968

16.8347

18.06197

17.427084

16.785303

15.913385

17.451071

16.687685

16.467283

hep-th/0207024

Gabriel Lopes Cardoso

Gabriel Lopes Cardoso and Dieter Lust

The holographic RG flow in a field theory on a curved background

14 pages, LaTeX

JHEP 0209:028,2002

10.1088/1126-6708/2002/09/028

HUB-EP-02/25

hep-th

null

As shown by Freedman, Gubser, Pilch and Warner, the RG flow in ${\cal N}=4$ super-Yang-Mills theory broken to an ${\cal N}=1$ theory by the addition of a mass term can be described in terms of a supersymmetric domain wall solution in five-dimensional ${\cal N}=8$ gauged supergravity. The FGPW flow is an example of a holographic RG flow in a field theory on a flat background. Here we put the field theory studied by Freedman, Gubser, Pilch and Warner on a curved $AdS_4$ background, and we construct the supersymmetric domain wall solution which describes the RG flow in this field theory. This solution is a curved (non Ricci flat) domain wall solution. This example demonstrates that holographic RG flows in supersymmetric field theories on a curved $AdS_4$ background can be described in terms of curved supersymmetric domain wall solutions.

[ { "created": "Tue, 2 Jul 2002 14:54:57 GMT", "version": "v1" } ]

2009-11-07

[ [ "Cardoso", "Gabriel Lopes", "" ], [ "Lust", "Dieter", "" ] ]

As shown by Freedman, Gubser, Pilch and Warner, the RG flow in ${\cal N}=4$ super-Yang-Mills theory broken to an ${\cal N}=1$ theory by the addition of a mass term can be described in terms of a supersymmetric domain wall solution in five-dimensional ${\cal N}=8$ gauged supergravity. The FGPW flow is an example of a holographic RG flow in a field theory on a flat background. Here we put the field theory studied by Freedman, Gubser, Pilch and Warner on a curved $AdS_4$ background, and we construct the supersymmetric domain wall solution which describes the RG flow in this field theory. This solution is a curved (non Ricci flat) domain wall solution. This example demonstrates that holographic RG flows in supersymmetric field theories on a curved $AdS_4$ background can be described in terms of curved supersymmetric domain wall solutions.

4.766325

4.011877

4.861692

3.780745

4.179605

4.234602

4.139337

4.088804

4.009459

5.035587

3.902467

3.864357

4.306745

3.94882

3.933758

3.891294

4.009543

3.853404

3.950999

4.441867

4.055931

hep-th/9207054

David Boulware

David G. Boulware

Quantum Field Theory in Spaces with Closed Time-Like Curves

48 pages

Phys.Rev. D46 (1992) 4421-4441

10.1103/PhysRevD.46.4421

null

hep-th gr-qc

null

Gott spacetime has closed timelike curves, but no locally anomalous stress-energy. A complete orthonormal set of eigenfunctions of the wave operator is found in the special case of a spacetime in which the total deficit angle is $2\pi$. A scalar quantum field theory is constructed using these eigenfunctions. The resultant interacting quantum field theory is not unitary because the field operators can create real, on-shell, particles in the acausal region. These particles propagate for finite proper time accumulating an arbitrary phase before being annihilated at the same spacetime point as that at which they were created. As a result, the effective potential within the acausal region is complex, and probability is not conserved. The stress tensor of the scalar field is evaluated in the neighborhood of the Cauchy horizon; in the case of a sufficiently small Compton wavelength of the field, the stress tensor is regular and cannot prevent the formation of the Cauchy horizon.

[ { "created": "Wed, 15 Jul 1992 15:57:32 GMT", "version": "v1" } ]

2009-10-22

[ [ "Boulware", "David G.", "" ] ]

Gott spacetime has closed timelike curves, but no locally anomalous stress-energy. A complete orthonormal set of eigenfunctions of the wave operator is found in the special case of a spacetime in which the total deficit angle is $2\pi$. A scalar quantum field theory is constructed using these eigenfunctions. The resultant interacting quantum field theory is not unitary because the field operators can create real, on-shell, particles in the acausal region. These particles propagate for finite proper time accumulating an arbitrary phase before being annihilated at the same spacetime point as that at which they were created. As a result, the effective potential within the acausal region is complex, and probability is not conserved. The stress tensor of the scalar field is evaluated in the neighborhood of the Cauchy horizon; in the case of a sufficiently small Compton wavelength of the field, the stress tensor is regular and cannot prevent the formation of the Cauchy horizon.

8.128642

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7.60266

7.965489

7.585019

7.814619

8.073071

7.825271

8.220077

7.802051

7.914947

1001.3595

Mauro Carfora

Renormalization Group and the Ricci flow

30 pages, 16 PNG figures, Conference talk at the Riemann International School of Mathematics: Advances in Number Theory and Geometry, Verbania April 19-24, 2009- Proceedings to appear in Milan Journal of Mathematics (Birkhauser)

null

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

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

We discuss from a geometric point of view the connection between the renormalization group flow for non--linear sigma models and the Ricci flow. This offers new perspectives in providing a geometrical landscape for 2D quantum field theories. In particular we argue that the structure of Ricci flow singularities suggests a natural way for extending, beyond the weak coupling regime, the embedding of the Ricci flow into the renormalization group flow.

[ { "created": "Wed, 20 Jan 2010 14:14:36 GMT", "version": "v1" } ]

2010-01-21

[ [ "Carfora", "Mauro", "" ] ]

We discuss from a geometric point of view the connection between the renormalization group flow for non--linear sigma models and the Ricci flow. This offers new perspectives in providing a geometrical landscape for 2D quantum field theories. In particular we argue that the structure of Ricci flow singularities suggests a natural way for extending, beyond the weak coupling regime, the embedding of the Ricci flow into the renormalization group flow.

9.210032

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8.082139

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