LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2303.08834

Tobias Hansen

Luis F. Alday, Tobias Hansen, Joao A. Silva

On the spectrum and structure constants of short operators in N=4 SYM at strong coupling

22 pages, v2: JHEP version

JHEP 08 (2023) 214

10.1007/JHEP08(2023)214

null

hep-th

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

We study short operators in planar $\mathcal{N}=4$ SYM at strong coupling, for general spin and $SO(6)$ symmetric traceless representations. At strong coupling their dimension grows like $\Delta \sim 2\sqrt{\delta} \lambda^{1/4}$ and their spectrum of degeneracies can be analysed by considering the massive spectrum of type II strings in flat space-time. We furthermore compute their structure constants with two arbitrary chiral primary operators. This is done by considering the four-point correlator of arbitrary chiral primary operators at strong coupling in planar $\mathcal{N}=4$ SYM, including the supergravity approximation plus the infinite tower of stringy corrections that contributes in the flat space limit. Our results are valid for generic rank $n$ symmetric traceless representations of $SO(6)$ and in particular for $n \gg 1$, as long as $n \ll \lambda^{1/4}$.

[ { "created": "Wed, 15 Mar 2023 18:00:01 GMT", "version": "v1" }, { "created": "Thu, 31 Aug 2023 17:28:18 GMT", "version": "v2" } ]

2023-09-01

[ [ "Alday", "Luis F.", "" ], [ "Hansen", "Tobias", "" ], [ "Silva", "Joao A.", "" ] ]

We study short operators in planar $\mathcal{N}=4$ SYM at strong coupling, for general spin and $SO(6)$ symmetric traceless representations. At strong coupling their dimension grows like $\Delta \sim 2\sqrt{\delta} \lambda^{1/4}$ and their spectrum of degeneracies can be analysed by considering the massive spectrum of type II strings in flat space-time. We furthermore compute their structure constants with two arbitrary chiral primary operators. This is done by considering the four-point correlator of arbitrary chiral primary operators at strong coupling in planar $\mathcal{N}=4$ SYM, including the supergravity approximation plus the infinite tower of stringy corrections that contributes in the flat space limit. Our results are valid for generic rank $n$ symmetric traceless representations of $SO(6)$ and in particular for $n \gg 1$, as long as $n \ll \lambda^{1/4}$.

7.762155

7.86191

7.917624

7.289931

7.365731

8.21949

7.213509

7.732275

7.263189

8.652061

6.982821

7.125853

7.260451

7.00652

6.894975

7.060623

6.989268

6.971884

7.00245

7.64778

7.103133

hep-th/9909034

Cihan Saclioglu

Solutions of the Einstein-Dirac and Seiberg-Witten Monopole Equations

22 pages. Rep. no: FGI-99-7

Class.Quant.Grav. 17 (2000) 485-495

10.1088/0264-9381/17/2/314

null

hep-th

null

We present unique solutions of the Seiberg-Witten Monopole Equations in which the U(1) curvature is covariantly constant, the monopole Weyl spinor consists of a single constant component, and the 4-manifold is a product of two Riemann surfaces of genuses p_1 and p_2. There are p_1 -1 magnetic vortices on one surface and p_2 - 1 electric ones on the other, with p_1 + p_2 \geq 2 p_1 = p_2= 1 being excluded). When p_1 = p_2, the electromagnetic fields are self-dual and one also has a solution of the coupled euclidean Einstein-Maxwell-Dirac equations, with the monopole condensate serving as cosmological constant. The metric is decomposable and the electromagnetic fields are covariantly constant as in the Bertotti-Robinson solution. The Einstein metric can also be derived from a K\"{a}hler potential satisfying the Monge-Amp\`{e}re equations.

[ { "created": "Tue, 7 Sep 1999 10:29:40 GMT", "version": "v1" } ]

2009-10-31

[ [ "Saclioglu", "Cihan", "" ] ]

We present unique solutions of the Seiberg-Witten Monopole Equations in which the U(1) curvature is covariantly constant, the monopole Weyl spinor consists of a single constant component, and the 4-manifold is a product of two Riemann surfaces of genuses p_1 and p_2. There are p_1 -1 magnetic vortices on one surface and p_2 - 1 electric ones on the other, with p_1 + p_2 \geq 2 p_1 = p_2= 1 being excluded). When p_1 = p_2, the electromagnetic fields are self-dual and one also has a solution of the coupled euclidean Einstein-Maxwell-Dirac equations, with the monopole condensate serving as cosmological constant. The metric is decomposable and the electromagnetic fields are covariantly constant as in the Bertotti-Robinson solution. The Einstein metric can also be derived from a K\"{a}hler potential satisfying the Monge-Amp\`{e}re equations.

6.122273

5.717052

6.262646

5.664735

5.793033

6.230687

5.789794

5.620593

5.465468

6.813156

5.815177

5.842954

6.070128

5.83137

5.932929

5.996191

5.860779

5.854693

5.755275

6.202046

5.871998

1502.00007

Ioannis Florakis

Carlo Angelantonj, Ioannis Florakis, Boris Pioline

Threshold corrections, generalised prepotentials and Eichler integrals

46 pages, eqs 4.38, 4.40-4.43 and 4.47 corrected

Nucl.Phys. B897 (2015) 781-820

10.1016/j.nuclphysb.2015.06.009

CERN-PH-TH-2015-011

hep-th math.NT

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

We continue our study of one-loop integrals associated to BPS-saturated amplitudes in $\mathcal{N}=2$ heterotic vacua. We compute their large-volume behaviour, and express them as Fourier series in the complexified volume, with Fourier coefficients given in terms of Niebur-Poincar\'e series in the complex structure modulus. The closure of Niebur-Poincar\'e series under modular derivatives implies that such integrals derive from holomorphic prepotentials $f_n$, generalising the familiar prepotential of $\mathcal{N}=2$ supergravity. These holomorphic prepotentials transform anomalously under T-duality, in a way characteristic of Eichler integrals. We use this observation to compute their quantum monodromies under the duality group. We extend the analysis to modular integrals with respect to Hecke congruence subgroups, which naturally arise in compactifications on non-factorisable tori and freely-acting orbifolds. In this case, we derive new explicit results including closed-form expressions for integrals involving the ${\varGamma}_0(N)$ Hauptmodul, a full characterisation of holomorphic prepotentials including their quantum monodromies, as well as concrete formulae for holomorphic Yukawa couplings.

[ { "created": "Fri, 30 Jan 2015 21:00:11 GMT", "version": "v1" }, { "created": "Fri, 26 Jun 2015 14:50:26 GMT", "version": "v2" } ]

2018-01-22

[ [ "Angelantonj", "Carlo", "" ], [ "Florakis", "Ioannis", "" ], [ "Pioline", "Boris", "" ] ]

We continue our study of one-loop integrals associated to BPS-saturated amplitudes in $\mathcal{N}=2$ heterotic vacua. We compute their large-volume behaviour, and express them as Fourier series in the complexified volume, with Fourier coefficients given in terms of Niebur-Poincar\'e series in the complex structure modulus. The closure of Niebur-Poincar\'e series under modular derivatives implies that such integrals derive from holomorphic prepotentials $f_n$, generalising the familiar prepotential of $\mathcal{N}=2$ supergravity. These holomorphic prepotentials transform anomalously under T-duality, in a way characteristic of Eichler integrals. We use this observation to compute their quantum monodromies under the duality group. We extend the analysis to modular integrals with respect to Hecke congruence subgroups, which naturally arise in compactifications on non-factorisable tori and freely-acting orbifolds. In this case, we derive new explicit results including closed-form expressions for integrals involving the ${\varGamma}_0(N)$ Hauptmodul, a full characterisation of holomorphic prepotentials including their quantum monodromies, as well as concrete formulae for holomorphic Yukawa couplings.

7.440249

7.972222

9.809167

7.287785

8.074759

7.865726

7.992087

7.422225

7.80454

9.947742

7.238441

7.325119

7.857063

7.202303

7.013752

7.344023

6.979174

7.173882

7.112437

7.698584

6.987796

0806.0190

Wen-Li Yang

Wen-Li Yang, Yao-Zhong Zhang and Xin Liu

Free field realization of current superalgebra $gl(m|n)_k$

Latex file, 15 pages

J.Math.Phys.48:053514,2007

10.1063/1.2739306

null

hep-th math-ph math.MP

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

We construct the free field representation of the affine currents, energy-momentum tensor and screening currents of the first kind of the current superalgebra $gl(m|n)_k$ uniformly for $m=n$ and $m\neq n$. The energy-momentum tensor is given by a linear combination of two Sugawara tensors associated with the two independent quadratic Casimir elements of $gl(m|n)$.

[ { "created": "Mon, 2 Jun 2008 00:07:44 GMT", "version": "v1" } ]

2008-11-26

[ [ "Yang", "Wen-Li", "" ], [ "Zhang", "Yao-Zhong", "" ], [ "Liu", "Xin", "" ] ]

We construct the free field representation of the affine currents, energy-momentum tensor and screening currents of the first kind of the current superalgebra $gl(m|n)_k$ uniformly for $m=n$ and $m\neq n$. The energy-momentum tensor is given by a linear combination of two Sugawara tensors associated with the two independent quadratic Casimir elements of $gl(m|n)$.

5.919266

5.684539

7.980025

5.209624

5.48845

5.471071

5.79424

5.517828

5.338089

8.111897

5.250304

5.687943

7.668773

5.498484

5.654986

5.626585

5.940589

5.545488

5.765485

7.309093

5.467203

1510.03915

J.ohn Madore

J. Madore

Kaluza-Klein Aspects of Noncommutative Geometry

13 pages, published in Differential Geometric Methods in Theoretical Physics, A. I. Solomon, ed., pp. 243--252. World Scientific Publishing, 1989

null

hep-th

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

Using some elementary methods from noncommutative geometry a structure is given to a point of space-time which is different from and simpler than that which would come from extra dimensions. The structure is described by a supplementary factor in the algebra which in noncommutative geometry replaces the algebra of functions. Using different examples of algebras it is shown that the extra structure can be used to describe spin or isospin.

[ { "created": "Tue, 13 Oct 2015 22:22:12 GMT", "version": "v1" } ]

2015-10-15

[ [ "Madore", "J.", "" ] ]

Using some elementary methods from noncommutative geometry a structure is given to a point of space-time which is different from and simpler than that which would come from extra dimensions. The structure is described by a supplementary factor in the algebra which in noncommutative geometry replaces the algebra of functions. Using different examples of algebras it is shown that the extra structure can be used to describe spin or isospin.

14.119108

14.295998

12.87666

12.615759

12.995446

13.253307

12.995338

12.525173

12.550016

13.186384

12.722822

12.644826

13.514241

12.416362

12.128257

11.893616

12.665627

12.411306

13.047945

12.472072

12.055156

hep-th/9312169

Bernard Nienhuis

V. V. Bazhanov, B. Nienhuis and S. O. Warnaar

Lattice Ising model in a field: E$_8$ scattering theory

11 pages, LaTeX

Phys.Lett.B322:198-206,1994

10.1016/0370-2693(94)91107-X

ITF-A-93-40

hep-th

null

Zamolodchikov found an integrable field theory related to the Lie algebra E$_8$, which describes the scaling limit of the Ising model in a magnetic field. He conjectured that there also exist solvable lattice models based on E$_8$ in the universality class of the Ising model in a field. The dilute A$_3$ model is a solvable lattice model with a critical point in the Ising universality class. The parameter by which the model can be taken away from the critical point acts like a magnetic field by breaking the $\Integer_2$ symmetry between the states. The expected direct relation of the model with E$_8$ has not been found hitherto. In this letter we study the thermodynamics of the dilute A$_3$ model and show that in the scaling limit it exhibits an appropriate E$_8$ structure, which naturally leads to the E$_8$ scattering theory for massive excitations over the ground state.

[ { "created": "Tue, 21 Dec 1993 09:32:46 GMT", "version": "v1" } ]

2011-02-11

[ [ "Bazhanov", "V. V.", "" ], [ "Nienhuis", "B.", "" ], [ "Warnaar", "S. O.", "" ] ]

Zamolodchikov found an integrable field theory related to the Lie algebra E$_8$, which describes the scaling limit of the Ising model in a magnetic field. He conjectured that there also exist solvable lattice models based on E$_8$ in the universality class of the Ising model in a field. The dilute A$_3$ model is a solvable lattice model with a critical point in the Ising universality class. The parameter by which the model can be taken away from the critical point acts like a magnetic field by breaking the $\Integer_2$ symmetry between the states. The expected direct relation of the model with E$_8$ has not been found hitherto. In this letter we study the thermodynamics of the dilute A$_3$ model and show that in the scaling limit it exhibits an appropriate E$_8$ structure, which naturally leads to the E$_8$ scattering theory for massive excitations over the ground state.

6.795424

6.562294

7.74456

6.556395

6.914001

6.830799

6.73846

6.837007

6.240458

7.982089

6.58279

6.316012

6.552627

6.347069

6.250324

6.317265

6.570147

6.251467

6.23802

6.622691

6.260886

2203.14350

Dimitra Karabali

Aspects of higher dimensional quantum Hall effect: Bosonization, entanglement entropy

15 pages, 7 figures. Talk given at the workshop on "Quantum Geometry, Field Theory and Gravity", Corfu Summer Institute 2021; Reference added

null

hep-th cond-mat.str-el

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

I give a brief review of higher dimensional quantum Hall effect (QHE) and how one can use a general framework to describe the lowest Landau level dynamics as a noncommutative field theory whose semiclassical limit leads to anomaly free bulk-edge effective actions in any dimension. I then present the case of QHE on complex projective spaces and focus on the entanglement entropy for integer QHE in even spatial dimensions. In the case of $\nu=1$, a semiclassical analysis shows that the entanglement entropy is proportional to the phase-space area of the entangling surface with a universal overall constant, same for any dimension as well as abelian or nonabelian background magnetic fields. This is modified for higher Landau levels.

[ { "created": "Sun, 27 Mar 2022 17:19:42 GMT", "version": "v1" }, { "created": "Sat, 9 Apr 2022 19:18:11 GMT", "version": "v2" } ]

2022-04-12

[ [ "Karabali", "Dimitra", "" ] ]

I give a brief review of higher dimensional quantum Hall effect (QHE) and how one can use a general framework to describe the lowest Landau level dynamics as a noncommutative field theory whose semiclassical limit leads to anomaly free bulk-edge effective actions in any dimension. I then present the case of QHE on complex projective spaces and focus on the entanglement entropy for integer QHE in even spatial dimensions. In the case of $\nu=1$, a semiclassical analysis shows that the entanglement entropy is proportional to the phase-space area of the entangling surface with a universal overall constant, same for any dimension as well as abelian or nonabelian background magnetic fields. This is modified for higher Landau levels.

10.666578

10.094401

12.845852

10.385662

10.05956

10.040143

9.629658

9.675185

10.711083

12.297514

9.609622

10.015433

10.827557

10.415478

10.12404

9.668781

10.213857

10.017623

10.200652

10.724651

10.250263

2004.09526

Adam Solomon

Adam R. Solomon and Mark Trodden

Non-canonical kinetic structures in the swampland

16+3 pages. v2: added references

JCAP 09 (2020) 049

10.1088/1475-7516/2020/09/049

null

hep-th astro-ph.CO gr-qc

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

We consider how the swampland criteria might be applied to models in which scalar fields have nontrivial kinetic terms, particularly in the context of $P(\phi,X)$ theories, popularly used in approaches to inflation, to its alternatives, and to the problem of late-time cosmic acceleration. By embedding such theories in canonical multi-field models, from which the original theory emerges as a low-energy effective field theory, we derive swampland constraints, and study the circumstances under which these might be evaded while preserving cosmologically interesting phenomenology. We further demonstrate how these successes are tied to the phenomenon of turning in field space in the multi-field picture. We study both the general problem and specific examples of particular interest, such as DBI inflation.

[ { "created": "Mon, 20 Apr 2020 18:00:02 GMT", "version": "v1" }, { "created": "Fri, 1 May 2020 16:24:22 GMT", "version": "v2" } ]

2023-11-08

[ [ "Solomon", "Adam R.", "" ], [ "Trodden", "Mark", "" ] ]

We consider how the swampland criteria might be applied to models in which scalar fields have nontrivial kinetic terms, particularly in the context of $P(\phi,X)$ theories, popularly used in approaches to inflation, to its alternatives, and to the problem of late-time cosmic acceleration. By embedding such theories in canonical multi-field models, from which the original theory emerges as a low-energy effective field theory, we derive swampland constraints, and study the circumstances under which these might be evaded while preserving cosmologically interesting phenomenology. We further demonstrate how these successes are tied to the phenomenon of turning in field space in the multi-field picture. We study both the general problem and specific examples of particular interest, such as DBI inflation.

11.574946

10.909689

12.184202

10.766165

11.771

12.376665

11.069688

11.282898

11.488653

12.118955

10.862892

11.510742

10.990535

10.829983

10.696241

11.192532

10.978184

10.983035

11.154208

11.264696

11.17929

1305.2429

Sungjay Lee

Sungjay Lee and Masahito Yamazaki

3d Chern-Simons Theory from M5-branes

28 pages, minor corrections and references added, comments on the gauge-fixing added. The version published in JHEP

JHEP1312:035,2013

10.1007/JHEP12(2013)035

DAMTP-2013-25, EFI-13-6, PUPT-2447

hep-th

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

We study 5d N=2 maximally supersymmetric Yang-Mills theory with a gauge group G on S^2 x M_3, where M_3 is a 3-manifold. By explicit localization computation we show that the path-integral of the 5d N=2 theory reduces to that of the 3d G_C Chern-Simons theory on M_3, where G_C is the complexification of G. This gives a direct derivation of the appearance of the Chern-Simons theory from the compactification of the 6d (2,0) theory, confirms the predictions from the 3d/3d correspondence for G=SU(N), and suggests the generalization of the correspondence to more general gauge groups.

[ { "created": "Fri, 10 May 2013 20:16:06 GMT", "version": "v1" }, { "created": "Mon, 20 May 2013 20:10:28 GMT", "version": "v2" }, { "created": "Tue, 1 Jul 2014 04:53:22 GMT", "version": "v3" } ]

2014-07-02

[ [ "Lee", "Sungjay", "" ], [ "Yamazaki", "Masahito", "" ] ]

We study 5d N=2 maximally supersymmetric Yang-Mills theory with a gauge group G on S^2 x M_3, where M_3 is a 3-manifold. By explicit localization computation we show that the path-integral of the 5d N=2 theory reduces to that of the 3d G_C Chern-Simons theory on M_3, where G_C is the complexification of G. This gives a direct derivation of the appearance of the Chern-Simons theory from the compactification of the 6d (2,0) theory, confirms the predictions from the 3d/3d correspondence for G=SU(N), and suggests the generalization of the correspondence to more general gauge groups.

4.321243

3.973714

4.60129

3.699756

3.975795

4.024273

3.952298

3.863024

3.958477

5.010414

3.775956

3.877646

4.308677

3.841336

3.869351

3.819151

3.832313

3.82255

3.898729

4.423691

3.8822

2110.14616

Brian R Williams

Kevin Costello and Brian R. Williams

Twisted heterotic/type I duality

null

hep-th math-ph math.MP math.QA

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

We formulate a twisted version of the conjectured duality between heterotic and type I string theories. Our formulation relates the chiral part of the heterotic string with a type I topological B-model on a Calabi-Yau five-fold. We provide a non-trivial check of this duality by showing that certain infinite-dimensional Lie algebras of global gauge transformations built from each theory are isomorphic. Matching the structure constants of the Lie algebras involves a detailed analysis of one-loop corrections on the type I side.

[ { "created": "Wed, 27 Oct 2021 17:38:09 GMT", "version": "v1" } ]

2021-10-28

[ [ "Costello", "Kevin", "" ], [ "Williams", "Brian R.", "" ] ]

We formulate a twisted version of the conjectured duality between heterotic and type I string theories. Our formulation relates the chiral part of the heterotic string with a type I topological B-model on a Calabi-Yau five-fold. We provide a non-trivial check of this duality by showing that certain infinite-dimensional Lie algebras of global gauge transformations built from each theory are isomorphic. Matching the structure constants of the Lie algebras involves a detailed analysis of one-loop corrections on the type I side.

8.997668

8.409769

10.113695

7.927346

8.191097

8.169008

8.081319

8.391602

7.693806

10.372808

7.794014

7.892677

9.12372

8.291313

8.146554

8.099769

8.137979

8.222372

7.860529

8.936036

8.001127

1108.4362

Hesam Soltanpanahi

K. Goldstein and H. Soltanpanahi

CFT Duals of Black Rings With Higher Derivative Terms

15 pages, typos fixed, The last version to appear in Classical and Quantum Gravity

Class. Quantum Grav. 29 (2012) 085016

10.1088/0264-9381/29/8/085016

WITS-CTP-79

hep-th

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

We study possible CFT duals of supersymmetric five dimensional black rings in the presence of supersymmetric higher derivative corrections to the N=2 supergravity action. A Virasoro algebra associated to an asymptotic symmetry group of solutions is defined by using the Kerr/CFT approach. We find the central charge and compute the microscopic entropy which is in precise agreement with the macroscopic entropy. Although apparently related to a different aspect of the near-horizon geometry and a different Virasoro algebra, we find that the c-extremization method leads to the same central charge and microscopic entropy computed in the Kerr/CFT approach. The relationship between these two point of view is clarified by relating the geometry to a self-dual orbifold of AdS3.

[ { "created": "Mon, 22 Aug 2011 15:59:31 GMT", "version": "v1" }, { "created": "Fri, 16 Mar 2012 12:12:52 GMT", "version": "v2" } ]

2012-04-04

[ [ "Goldstein", "K.", "" ], [ "Soltanpanahi", "H.", "" ] ]

We study possible CFT duals of supersymmetric five dimensional black rings in the presence of supersymmetric higher derivative corrections to the N=2 supergravity action. A Virasoro algebra associated to an asymptotic symmetry group of solutions is defined by using the Kerr/CFT approach. We find the central charge and compute the microscopic entropy which is in precise agreement with the macroscopic entropy. Although apparently related to a different aspect of the near-horizon geometry and a different Virasoro algebra, we find that the c-extremization method leads to the same central charge and microscopic entropy computed in the Kerr/CFT approach. The relationship between these two point of view is clarified by relating the geometry to a self-dual orbifold of AdS3.

8.117262

7.371032

9.59953

7.896854

8.453733

8.168369

7.4561

7.622906

7.859397

9.524942

7.257885

7.813691

8.830422

8.011844

8.157498

8.04814

7.93802

7.844121

8.154433

8.575408

7.86479

2406.02679

Gabriel Cuomo

Gabriel Cuomo, Leonardo Rastelli, Adar Sharon

Moduli Spaces in CFT: Bootstrap Equation in a Perturbative Example

27 pages + appendices, v2 minor edits and references updated

null

hep-th

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

Conformal field theories that exhibit spontaneous breaking of conformal symmetry (a moduli space of vacua) must satisfy a set of bootstrap constraints, involving the usual data (scaling dimensions and OPE coefficients) as well as new data such as the spectrum of asymptotic states in the broken vacuum and form factors. The simplest bootstrap equation arises by expanding a two-point function of local operators in two channels, at short distance using the OPE and at large distance using the EFT in the broken vacuum. We illustrate this equation in what is arguably the simplest perturbative model that exhibits conformal symmetry breaking, namely the real $ABC$ model in $d = 4 -\epsilon$ dimensions. We investigate the convergence properties of the bootstrap equation and check explicitly many of the non-trivial relations that it imposes on theory data.

[ { "created": "Tue, 4 Jun 2024 18:00:02 GMT", "version": "v1" }, { "created": "Sun, 11 Aug 2024 20:05:51 GMT", "version": "v2" } ]

2024-08-13

[ [ "Cuomo", "Gabriel", "" ], [ "Rastelli", "Leonardo", "" ], [ "Sharon", "Adar", "" ] ]

Conformal field theories that exhibit spontaneous breaking of conformal symmetry (a moduli space of vacua) must satisfy a set of bootstrap constraints, involving the usual data (scaling dimensions and OPE coefficients) as well as new data such as the spectrum of asymptotic states in the broken vacuum and form factors. The simplest bootstrap equation arises by expanding a two-point function of local operators in two channels, at short distance using the OPE and at large distance using the EFT in the broken vacuum. We illustrate this equation in what is arguably the simplest perturbative model that exhibits conformal symmetry breaking, namely the real $ABC$ model in $d = 4 -\epsilon$ dimensions. We investigate the convergence properties of the bootstrap equation and check explicitly many of the non-trivial relations that it imposes on theory data.

10.256735

10.213713

10.263775

9.384688

11.256864

10.804487

10.54712

10.279202

9.786407

11.338339

9.937189

9.816597

9.960876

9.469189

9.791402

9.750411

9.540375

9.788412

9.222694

9.982437

9.651517

hep-th/0504011

Diederik Roest

E.A. Bergshoeff, A. Collinucci, D. Roest, J.G. Russo, P.K. Townsend

Cosmological D-instantons and Cyclic Universes

21 pages, 4 figures. v2: minor changes

Class.Quant.Grav. 22 (2005) 2635-2652

10.1088/0264-9381/22/13/008

null

hep-th

null

For models of gravity coupled to hyperbolic sigma models, such as the metric-scalar sector of IIB supergravity, we show how smooth trajectories in the `augmented target space' connect FLRW cosmologies to non-extremal D-instantons through a cosmological singularity. In particular, we find closed cyclic universes that undergo an endless sequence of big-bang to big-crunch cycles separated by instanton `phases'. We also find `big-bounce' universes in which a collapsing closed universe bounces off its cosmological singularity to become an open expanding universe.

[ { "created": "Fri, 1 Apr 2005 19:52:11 GMT", "version": "v1" }, { "created": "Sat, 23 Apr 2005 10:52:49 GMT", "version": "v2" } ]

2009-11-11

[ [ "Bergshoeff", "E. A.", "" ], [ "Collinucci", "A.", "" ], [ "Roest", "D.", "" ], [ "Russo", "J. G.", "" ], [ "Townsend", "P. K.", "" ] ]

For models of gravity coupled to hyperbolic sigma models, such as the metric-scalar sector of IIB supergravity, we show how smooth trajectories in the `augmented target space' connect FLRW cosmologies to non-extremal D-instantons through a cosmological singularity. In particular, we find closed cyclic universes that undergo an endless sequence of big-bang to big-crunch cycles separated by instanton `phases'. We also find `big-bounce' universes in which a collapsing closed universe bounces off its cosmological singularity to become an open expanding universe.

10.915157

10.885916

12.08569

11.010468

12.232254

11.741212

12.44946

10.988789

10.625289

12.012186

10.246198

10.507613

11.466126

10.563662

10.4186

10.416673

10.210935

10.086337

10.150933

11.177286

10.32816

hep-th/9707086

Gerhard Kulzinger

E.L.Gubankova

Modified similarity renormalization of Hamiltonians. QED on the light front

posters presented on the workshop "Confinement, duality and non-perturbative aspects of QCD", 23 June-4 July, Cambridge, England; 9 pages, Latex, 4 eps-figures loaded, using special package with command "\usepackage{epsfig}"

null

hep-th

null

Modified similarity renormalization of Hamiltonians is proposed, that performes by means of flow equations the similarity transformation of Hamiltonian in the particle number space. This enables to renormalize in the energy space the field theoretical Hamiltonian and makes possible to work in a severe trancated Fock space for the renormalized Hamiltonian.

[ { "created": "Wed, 9 Jul 1997 13:22:53 GMT", "version": "v1" } ]

2007-05-23

[ [ "Gubankova", "E. L.", "" ] ]

Modified similarity renormalization of Hamiltonians is proposed, that performes by means of flow equations the similarity transformation of Hamiltonian in the particle number space. This enables to renormalize in the energy space the field theoretical Hamiltonian and makes possible to work in a severe trancated Fock space for the renormalized Hamiltonian.

23.732731

19.10887

22.639057

17.918034

21.063036

21.676435

21.384939

19.326284

21.181684

23.313807

20.659386

20.439039

21.832132

20.433363

22.391987

20.219412

19.518332

21.798897

18.974016

23.886578

20.067268

1710.09063

Robert de Mello Koch

Robert de Mello Koch and Lwazi Nkumane

From Gauss Graphs to Giants

16 pages; v2: matches published version

null

10.1007/JHEP02(2018)005

null

hep-th

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

We identify the operators in ${\cal N}=4$ super Yang-Mills theory that correspond to ${1\over 8}$-BPS giant gravitons in AdS$_5\times$S$^5$. Our evidence for the identification comes from (1) counting these operators and showing agreement with independent counts of the number of giant graviton states, and (2) by demonstrating a correspondence between correlation functions of the super Yang-Mills operators and overlaps of the giant graviton wave functions.

[ { "created": "Wed, 25 Oct 2017 03:19:34 GMT", "version": "v1" }, { "created": "Thu, 1 Feb 2018 16:14:01 GMT", "version": "v2" } ]

2018-03-14

[ [ "Koch", "Robert de Mello", "" ], [ "Nkumane", "Lwazi", "" ] ]

We identify the operators in ${\cal N}=4$ super Yang-Mills theory that correspond to ${1\over 8}$-BPS giant gravitons in AdS$_5\times$S$^5$. Our evidence for the identification comes from (1) counting these operators and showing agreement with independent counts of the number of giant graviton states, and (2) by demonstrating a correspondence between correlation functions of the super Yang-Mills operators and overlaps of the giant graviton wave functions.

4.961889

4.297696

5.824348

4.316895

4.394284

4.394153

3.845342

4.198194

4.195239

5.632452

4.457139

4.364207

5.010681

4.379796

4.409928

4.490816

4.273832

4.486371

4.361811

5.003786

4.428116

2012.04671

Hao Geng

Hao Geng, Andreas Karch, Carlos Perez-Pardavila, Suvrat Raju, Lisa Randall, Marcos Riojas, Sanjit Shashi

Information Transfer with a Gravitating Bath

48 pages, 10 figures, comments and references are welcomed;v2 published version on SciPost

null

10.21468/SciPostPhys.10.5.103

null

hep-th gr-qc

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

Late-time dominance of entanglement islands plays a critical role in addressing the information paradox for black holes in AdS coupled to an asymptotic non-gravitational bath. A natural question is how this observation can be extended to gravitational systems. To gain insight into this question, we explore how this story is modified within the context of Karch-Randall braneworlds when we allow the asymptotic bath to couple to dynamical gravity. We find that because of the inability to separate degrees of freedom by spatial location when defining the radiation region, the entanglement entropy of radiation emitted into the bath is a time-independent constant, consistent with recent work on black hole information in asymptotically flat space. If we instead consider an entanglement entropy between two sectors of a specific division of the Hilbert space, we then find non-trivial time-dependence, with the Page time a monotonically decreasing function of the brane angle -- provided both branes are below a particular angle. However, the properties of the entropy depend discontinuously on this angle, which is the first example of such discontinuous behavior for an AdS brane in AdS space.

[ { "created": "Tue, 8 Dec 2020 19:00:07 GMT", "version": "v1" }, { "created": "Tue, 11 May 2021 20:05:31 GMT", "version": "v2" } ]

2022-05-30

[ [ "Geng", "Hao", "" ], [ "Karch", "Andreas", "" ], [ "Perez-Pardavila", "Carlos", "" ], [ "Raju", "Suvrat", "" ], [ "Randall", "Lisa", "" ], [ "Riojas", "Marcos", "" ], [ "Shashi", "Sanjit", "" ] ]

Late-time dominance of entanglement islands plays a critical role in addressing the information paradox for black holes in AdS coupled to an asymptotic non-gravitational bath. A natural question is how this observation can be extended to gravitational systems. To gain insight into this question, we explore how this story is modified within the context of Karch-Randall braneworlds when we allow the asymptotic bath to couple to dynamical gravity. We find that because of the inability to separate degrees of freedom by spatial location when defining the radiation region, the entanglement entropy of radiation emitted into the bath is a time-independent constant, consistent with recent work on black hole information in asymptotically flat space. If we instead consider an entanglement entropy between two sectors of a specific division of the Hilbert space, we then find non-trivial time-dependence, with the Page time a monotonically decreasing function of the brane angle -- provided both branes are below a particular angle. However, the properties of the entropy depend discontinuously on this angle, which is the first example of such discontinuous behavior for an AdS brane in AdS space.

11.722949

11.95314

12.634339

10.276098

12.019967

11.926401

11.147083

10.99824

11.173775

14.27965

10.671296

11.161183

11.520497

10.916223

11.607352

11.566456

11.187778

11.094186

10.800065

11.644051

11.044254

hep-th/9905120

S. G. Rajeev

A Condensation of Interacting Bosons in Two Dimensional Space

Latex 13 pages, .eps figures

null

hep-th cond-mat.stat-mech physics.optics

null

We develop a theory of non-relativistic bosons in two spatial dimensions with a weak short range attractive interaction. In the limit as the range of the interaction becomes small, there is an ultra-violet divergence in the problem. We devise a scheme to remove this divergence and produce a completely finite formulation of the theory. This involves reformulating the dynamics in terms of a new operator whose eigenvalues give the {\it logarithm} of the energy levels. Then, a mean field theory is developed which allows us to describe the limit of a large number of bosons. The ground state is a new kind of condensate (soliton) of bosons that breaks translation invariance spontaneously. The ground state energy is negative and its magnitude grows {\it exponentially} with the number of particles, rather than like a power law as for conventional many body systems.

[ { "created": "Mon, 17 May 1999 17:14:15 GMT", "version": "v1" } ]

2007-05-23

[ [ "Rajeev", "S. G.", "" ] ]

We develop a theory of non-relativistic bosons in two spatial dimensions with a weak short range attractive interaction. In the limit as the range of the interaction becomes small, there is an ultra-violet divergence in the problem. We devise a scheme to remove this divergence and produce a completely finite formulation of the theory. This involves reformulating the dynamics in terms of a new operator whose eigenvalues give the {\it logarithm} of the energy levels. Then, a mean field theory is developed which allows us to describe the limit of a large number of bosons. The ground state is a new kind of condensate (soliton) of bosons that breaks translation invariance spontaneously. The ground state energy is negative and its magnitude grows {\it exponentially} with the number of particles, rather than like a power law as for conventional many body systems.

7.573605

7.443484

7.143782

7.233971

7.419066

7.531224

6.950943

7.218964

7.219602

7.583516

7.033528

6.961104

7.257405

7.067849

7.255409

7.108978

7.194319

7.244737

7.025374

7.507257

7.293527

hep-th/9511219

Takao Nakamura

Takao Nakamura and Shinji Hamamoto

Higher Derivatives and Canonical Formalisms

13pages Latex file

Prog.Theor.Phys. 95 (1996) 469-484

10.1143/PTP.95.469

null

hep-th

null

Path integral expressions for three canonical formalisms -- Ostrogradski's one, constrained one and generalized one -- of higher-derivative theories are given. For each fomalism we consider both nonsingular and singular cases. It is shown that three formalisms share the same path integral expressions. In paticular it is pointed out that the generalized canonical formalism is connected with the constrained one by a canonical transformation.

[ { "created": "Thu, 30 Nov 1995 07:52:42 GMT", "version": "v1" } ]

2009-10-28

[ [ "Nakamura", "Takao", "" ], [ "Hamamoto", "Shinji", "" ] ]

Path integral expressions for three canonical formalisms -- Ostrogradski's one, constrained one and generalized one -- of higher-derivative theories are given. For each fomalism we consider both nonsingular and singular cases. It is shown that three formalisms share the same path integral expressions. In paticular it is pointed out that the generalized canonical formalism is connected with the constrained one by a canonical transformation.

12.281951

10.599953

11.564553

9.680296

10.52527

11.035066

10.904701

10.143577

10.87647

10.986471

10.610207

10.178373

10.06767

10.685898

9.970939

10.092858

10.162124

10.153768

10.385117

10.289205

10.303448

hep-th/9311076

null

M. Leblanc, R. MacKenzie, P.K.Panigrahi, and R. Ray

Induced $B\wedge F$ term and photon mass generation in 3+1 dimensions

13 pages, UdeM-LPN-TH-162, CRM-1916

Int. J. Mod. Phys. A9 (1994) 4717-4726

10.1142/S0217751X94001886

null

hep-th

null

Analysing a 3+1 dimensional model with four-Fermi interactions, we show that topological $\BF$ terms (both abelian and non-abelian) can be induced radiatively by massive fermions at the one-loop level. It is further pointed out that a mechanism of photon (or non-abelian gauge field) mass generation distinct from the usual Higgs mechanism, through the $\BF$ term, is also implemented in the long-distance effective action of this model, provided a gap equation is satisfied.

[ { "created": "Fri, 12 Nov 1993 20:04:12 GMT", "version": "v1" } ]

2015-06-26

[ [ "Leblanc", "M.", "" ], [ "MacKenzie", "R.", "" ], [ "Panigrahi", "P. K.", "" ], [ "Ray", "R.", "" ] ]

Analysing a 3+1 dimensional model with four-Fermi interactions, we show that topological $\BF$ terms (both abelian and non-abelian) can be induced radiatively by massive fermions at the one-loop level. It is further pointed out that a mechanism of photon (or non-abelian gauge field) mass generation distinct from the usual Higgs mechanism, through the $\BF$ term, is also implemented in the long-distance effective action of this model, provided a gap equation is satisfied.

10.793411

8.940598

9.542725

8.814673

8.802755

9.351982

8.197097

8.974114

8.744719

10.047084

9.31588

8.989424

9.840372

9.373892

9.036859

9.038974

8.820311

9.306711

9.365816

9.994041

9.342747

hep-th/9709149

Tanmay Vachaspati

Tanmay Vachaspati (CWRU)

Field configurations with half-integer angular momentum in purely bosonic theories without topological charge

LaTeX, 3 pages. New title, significant revisions

Phys. Lett. B427, 323 (1998)

10.1016/S0370-2693(98)00361-X

CWRU-P11-97

hep-th hep-ph

null

It is shown that purely bosonic field theories can have configurations with half-integral angular momentum even when the topological magnetic charge of the configuration vanishes. This result is applicable whenever there is a non-Abelian gauge theory with particles that transform in the fundamental representation of the non-Abelian symmetry group.

[ { "created": "Fri, 19 Sep 1997 20:54:55 GMT", "version": "v1" }, { "created": "Mon, 3 Nov 1997 19:59:22 GMT", "version": "v2" }, { "created": "Mon, 27 Sep 1999 15:16:16 GMT", "version": "v3" } ]

2009-10-30

[ [ "Vachaspati", "Tanmay", "", "CWRU" ] ]

It is shown that purely bosonic field theories can have configurations with half-integral angular momentum even when the topological magnetic charge of the configuration vanishes. This result is applicable whenever there is a non-Abelian gauge theory with particles that transform in the fundamental representation of the non-Abelian symmetry group.

9.633789

8.524178

9.753713

8.78528

9.460561

9.224382

8.808873

8.688134

8.732999

10.132834

8.083571

8.99784

9.098028

8.899935

9.077933

9.157015

9.012203

8.766463

9.004853

9.372826

8.808697

hep-th/9508111

Stam Nicolis

E. G. Floratos (NRCPS Demokritos) and S. Nicolis (CNRS-LMPT Tours U.)

An SU(2) Analog of the Azbel--Hofstadter Hamiltonian

19 pages, LaTeX, 4 PostScript figures. Relation between Cartan and Cartesian deformation of SU(2) and numerical results added. Final version as will appear in J. Phys. A: Math. Gen

J.Phys.A31:3961-3975,1998

10.1088/0305-4470/31/17/007

null

hep-th cond-mat nlin.SI solv-int

null

Motivated by recent findings due to Wiegmann and Zabrodin, Faddeev and Kashaev concerning the appearence of the quantum U_q(sl(2)) symmetry in the problem of a Bloch electron on a two-dimensional magnetic lattice, we introduce a modification of the tight binding Azbel--Hofstadter Hamiltonian that is a specific spin-S Euler top and can be considered as its ``classical'' analog. The eigenvalue problem for the proposed model, in the coherent state representation, is described by the S-gap Lam\'e equation and, thus, is completely solvable. We observe a striking similarity between the shapes of the spectra of the two models for various values of the spin S.

[ { "created": "Tue, 22 Aug 1995 23:01:18 GMT", "version": "v1" }, { "created": "Thu, 24 Aug 1995 18:28:45 GMT", "version": "v2" }, { "created": "Mon, 23 Feb 1998 21:46:13 GMT", "version": "v3" } ]

2008-11-26

[ [ "Floratos", "E. G.", "", "NRCPS Demokritos" ], [ "Nicolis", "S.", "", "CNRS-LMPT Tours U." ] ]

Motivated by recent findings due to Wiegmann and Zabrodin, Faddeev and Kashaev concerning the appearence of the quantum U_q(sl(2)) symmetry in the problem of a Bloch electron on a two-dimensional magnetic lattice, we introduce a modification of the tight binding Azbel--Hofstadter Hamiltonian that is a specific spin-S Euler top and can be considered as its ``classical'' analog. The eigenvalue problem for the proposed model, in the coherent state representation, is described by the S-gap Lam\'e equation and, thus, is completely solvable. We observe a striking similarity between the shapes of the spectra of the two models for various values of the spin S.

11.719727

11.181449

14.258271

10.66106

12.202776

12.994323

11.379164

12.610743

10.500664

16.030876

10.319759

11.102788

12.464295

11.853626

11.782324

11.202916

11.816617

11.594184

11.809644

13.093072

11.329167

2108.04830

Zechuan Zheng

Vladimir Kazakov and Zechuan Zheng

Analytic and Numerical Bootstrap for One-Matrix Model and "Unsolvable" Two-Matrix Model

60 pages, 15 figures

null

10.1007/JHEP06(2022)030

null

hep-th

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

We propose the relaxation bootstrap method for the numerical solution of multi-matrix models in the large $N$ limit, developing and improving the recent proposal of H.Lin. It gives rigorous inequalities on the single trace moments of the matrices up to a given "cutoff" order (length) of the moments. The method combines usual loop equations on the moments and the positivity constraint on the correlation matrix of the moments. We have a rigorous proof of applicability of this method in the case of the one-matrix model where the condition of positivity of the saddle point solution appears to be equivalent to the presence of supports of the eigenvalue distribution only on the real axis and only with positive weight. We demonstrate the numerical efficiency of our method by solving the analytically "unsolvable" two-matrix model with $\mathrm{tr}[A,B]^2$ interaction and quartic potentials, even for solutions with spontaneously broken discrete symmetry. The region of values for computed moments allowed by inequalities quickly shrinks with the increase of the cutoff, allowing the precision of about 6 digits for generic values of couplings in the case of $\mathbb{Z}_2$ symmetric solutions. Our numerical data are checked against the known analytic results for particular values of parameters.

[ { "created": "Tue, 10 Aug 2021 18:00:01 GMT", "version": "v1" }, { "created": "Tue, 29 Mar 2022 17:20:22 GMT", "version": "v2" }, { "created": "Thu, 5 May 2022 12:31:53 GMT", "version": "v3" } ]

2022-06-22

[ [ "Kazakov", "Vladimir", "" ], [ "Zheng", "Zechuan", "" ] ]

We propose the relaxation bootstrap method for the numerical solution of multi-matrix models in the large $N$ limit, developing and improving the recent proposal of H.Lin. It gives rigorous inequalities on the single trace moments of the matrices up to a given "cutoff" order (length) of the moments. The method combines usual loop equations on the moments and the positivity constraint on the correlation matrix of the moments. We have a rigorous proof of applicability of this method in the case of the one-matrix model where the condition of positivity of the saddle point solution appears to be equivalent to the presence of supports of the eigenvalue distribution only on the real axis and only with positive weight. We demonstrate the numerical efficiency of our method by solving the analytically "unsolvable" two-matrix model with $\mathrm{tr}[A,B]^2$ interaction and quartic potentials, even for solutions with spontaneously broken discrete symmetry. The region of values for computed moments allowed by inequalities quickly shrinks with the increase of the cutoff, allowing the precision of about 6 digits for generic values of couplings in the case of $\mathbb{Z}_2$ symmetric solutions. Our numerical data are checked against the known analytic results for particular values of parameters.

13.710751

13.268951

14.828028

13.229349

14.348693

15.191826

14.144034

14.002218

12.874883

15.392771

12.842934

13.05098

13.37695

12.667729

13.298386

13.494649

13.313572

12.770859

12.864904

13.000755

12.750627

hep-th/0101011

Ivan K. Kostov

Vladimir Kazakov, Ivan Kostov, David Kutasov

A Matrix Model for the Two Dimensional Black Hole

51 pages, 2 figures

Nucl.Phys. B622 (2002) 141-188

10.1016/S0550-3213(01)00606-X

SPHT-t00/123, LPTENS-00/32, EFI-2000-2

hep-th

null

We construct and study a matrix model that describes two dimensional string theory in the Euclidean black hole background. A conjecture of V. Fateev, A. and Al. Zamolodchikov, relating the black hole background to condensation of vortices (winding modes around Euclidean time) plays an important role in the construction. We use the matrix model to study quantum corrections to the thermodynamics of two dimensional black holes.

[ { "created": "Sun, 31 Dec 2000 15:21:30 GMT", "version": "v1" }, { "created": "Mon, 27 Aug 2001 13:43:11 GMT", "version": "v2" } ]

2009-11-07

[ [ "Kazakov", "Vladimir", "" ], [ "Kostov", "Ivan", "" ], [ "Kutasov", "David", "" ] ]

We construct and study a matrix model that describes two dimensional string theory in the Euclidean black hole background. A conjecture of V. Fateev, A. and Al. Zamolodchikov, relating the black hole background to condensation of vortices (winding modes around Euclidean time) plays an important role in the construction. We use the matrix model to study quantum corrections to the thermodynamics of two dimensional black holes.

7.677995

6.027745

7.393971

6.418794

6.177645

5.982782

6.730808

6.566634

6.228672

8.857845

6.400244

6.739195

7.337005

7.330426

7.016512

6.934917

7.547245

7.12555

7.122228

7.817571

6.911689

1101.3548

Justin Khoury

Justin Khoury and Paul J. Steinhardt

Generating Scale-Invariant Perturbations from Rapidly-Evolving Equation of State

42 pages, 1 figure

Phys.Rev.D83:123502,2011

10.1103/PhysRevD.83.123502

null

hep-th

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

Recently, we introduced an ekpyrotic model based on a single, canonical scalar field that generates nearly scale invariant curvature fluctuations through a purely "adiabatic mechanism" in which the background evolution is a dynamical attractor. Despite the starkly different physical mechanism for generating fluctuations, the two-point function is identical to inflation. In this paper, we further explore this concept, focusing in particular on issues of non-gaussianity and quantum corrections. We find that the degeneracy with inflation is broken at three-point level: for the simplest case of an exponential potential, the three-point amplitude is strongly scale dependent, resulting in a breakdown of perturbation theory on small scales. However, we show that the perturbative breakdown can be circumvented -- and all issues raised in Linde et al. (arXiv:0912.0944) can be addressed -- by altering the potential such that power is suppressed on small scales. The resulting range of nearly scale invariant, gaussian modes can be as much as twelve e-folds, enough to span the scales probed by microwave background and large scale structure observations. On smaller scales, the spectrum is not scale invariant but is observationally acceptable.

[ { "created": "Tue, 18 Jan 2011 21:00:00 GMT", "version": "v1" } ]

2011-06-13

[ [ "Khoury", "Justin", "" ], [ "Steinhardt", "Paul J.", "" ] ]

Recently, we introduced an ekpyrotic model based on a single, canonical scalar field that generates nearly scale invariant curvature fluctuations through a purely "adiabatic mechanism" in which the background evolution is a dynamical attractor. Despite the starkly different physical mechanism for generating fluctuations, the two-point function is identical to inflation. In this paper, we further explore this concept, focusing in particular on issues of non-gaussianity and quantum corrections. We find that the degeneracy with inflation is broken at three-point level: for the simplest case of an exponential potential, the three-point amplitude is strongly scale dependent, resulting in a breakdown of perturbation theory on small scales. However, we show that the perturbative breakdown can be circumvented -- and all issues raised in Linde et al. (arXiv:0912.0944) can be addressed -- by altering the potential such that power is suppressed on small scales. The resulting range of nearly scale invariant, gaussian modes can be as much as twelve e-folds, enough to span the scales probed by microwave background and large scale structure observations. On smaller scales, the spectrum is not scale invariant but is observationally acceptable.

8.923198

8.696942

8.981983

8.173813

8.445332

8.434403

9.452637

8.305532

9.107015

9.479103

8.570143

8.296599

8.542729

8.481736

8.479692

8.359474

8.483689

8.577942

8.333344

8.342005

8.519942

1803.03068

Rong-Xin Miao

Chong-Sun Chu and Rong-Xin Miao

Weyl Anomaly Induced Current in Boundary Quantum Field Theories

6 pages, 1 figures, title changed, revision published in PRL

Phys. Rev. Lett. 121, 251602 (2018)

10.1103/PhysRevLett.121.251602

NCTS-TH/1802

hep-th cond-mat.other gr-qc

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

We show that when an external magnetic field parallel to the boundary is applied, the Weyl anomaly gives rises to a new anomalous current in the vicinity of the boundary. The induced current is a magnetization current in origin: the movement of the virtual charges near the boundary give rise to a nonuniform magnetization of the vacuum and hence a magnetization current. Unlike other previously studied anomalous current phenomena such as the chiral magnetic effect or the chiral vortical effect, this induced current does not rely on the presence of a material system and can occur in vacuum. Similar to the Casimir effect, our discovered phenomenon arises from the effect of the boundary on the quantum fluctuations of the vacuum. However this induced current is purely quantum mechanical and has no classical limit. We briefly comment on how this induced current may be observed experimentally.

[ { "created": "Thu, 8 Mar 2018 12:37:46 GMT", "version": "v1" }, { "created": "Wed, 19 Dec 2018 01:54:43 GMT", "version": "v2" }, { "created": "Thu, 20 Dec 2018 03:32:58 GMT", "version": "v3" } ]

2018-12-26

[ [ "Chu", "Chong-Sun", "" ], [ "Miao", "Rong-Xin", "" ] ]

We show that when an external magnetic field parallel to the boundary is applied, the Weyl anomaly gives rises to a new anomalous current in the vicinity of the boundary. The induced current is a magnetization current in origin: the movement of the virtual charges near the boundary give rise to a nonuniform magnetization of the vacuum and hence a magnetization current. Unlike other previously studied anomalous current phenomena such as the chiral magnetic effect or the chiral vortical effect, this induced current does not rely on the presence of a material system and can occur in vacuum. Similar to the Casimir effect, our discovered phenomenon arises from the effect of the boundary on the quantum fluctuations of the vacuum. However this induced current is purely quantum mechanical and has no classical limit. We briefly comment on how this induced current may be observed experimentally.

7.953363

8.044831

7.74735

7.400514

7.39684

8.136149

8.139351

7.763773

7.710993

8.31601

7.436671

7.709202

7.677267

7.587051

7.4746

7.434215

7.509276

7.476436

7.319222

7.76563

7.543773

0710.2188

Shingo Takeuchi

Naoyuki Kawahara (KEK), Jun Nishimura (KEK, SOKENDAI), Shingo Takeuchi (SOKENDAI)

High temperature expansion in supersymmetric matrix quantum mechanics

17 pages, 13 figures, (v2) some typos corrected

JHEP 0712:103,2007

10.1088/1126-6708/2007/12/103

KEK-TH-1193

hep-th hep-lat

null

We formulate the high temperature expansion in supersymmetric matrix quantum mechanics with 4, 8 and 16 supercharges. The models can be obtained by dimensionally reducing N=1 U(N) super Yang-Mills theory in D=4,6,10 to 1 dimension, respectively. While the non-zero frequency modes become weakly coupled at high temperature, the zero modes remain strongly coupled. We find, however, that the integration over the zero modes that remains after integrating out all the non-zero modes perturbatively, reduces to the evaluation of connected Green's functions in the bosonic IKKT model. We perform Monte Carlo simulation to compute these Green's functions, which are then used to obtain the coefficients of the high temperature expansion for various quantities up to the next-leading order. Our results nicely reproduce the asymptotic behaviors of the recent simulation results at finite temperature. In particular, the fermionic matrices, which decouple at the leading order, give rise to substantial effects at the next-leading order, reflecting finite temperature behaviors qualitatively different from the corresponding models without fermions.

[ { "created": "Thu, 11 Oct 2007 09:09:57 GMT", "version": "v1" }, { "created": "Thu, 8 Nov 2007 02:25:53 GMT", "version": "v2" } ]

2009-05-20

[ [ "Kawahara", "Naoyuki", "", "KEK" ], [ "Nishimura", "Jun", "", "KEK, SOKENDAI" ], [ "Takeuchi", "Shingo", "", "SOKENDAI" ] ]

We formulate the high temperature expansion in supersymmetric matrix quantum mechanics with 4, 8 and 16 supercharges. The models can be obtained by dimensionally reducing N=1 U(N) super Yang-Mills theory in D=4,6,10 to 1 dimension, respectively. While the non-zero frequency modes become weakly coupled at high temperature, the zero modes remain strongly coupled. We find, however, that the integration over the zero modes that remains after integrating out all the non-zero modes perturbatively, reduces to the evaluation of connected Green's functions in the bosonic IKKT model. We perform Monte Carlo simulation to compute these Green's functions, which are then used to obtain the coefficients of the high temperature expansion for various quantities up to the next-leading order. Our results nicely reproduce the asymptotic behaviors of the recent simulation results at finite temperature. In particular, the fermionic matrices, which decouple at the leading order, give rise to substantial effects at the next-leading order, reflecting finite temperature behaviors qualitatively different from the corresponding models without fermions.

8.244534

8.08487

8.483115

7.504624

8.513384

7.960181

8.434394

7.595404

7.928196

9.675981

7.741388

7.461488

8.311424

7.727381

7.788341

7.661634

7.789973

7.724911

7.840991

8.574386

7.605689

hep-th/0312027

Frieder Kleefeld

F. Kleefeld (CFIF, IST, Lisbon, Portugal)

Is a quantum theory of resonances really time asymmetric?

8 pages, no figures; contribution to the 2003 CFIF workshop on "Time Asymmetric Quantum Theory: the Theory of Resonances", Centro de Fisica das Interaccoes Fundamentais (CFIF), IST, Lisbon, Portugal, July 23-26, 2003

null

FK-2003-5

hep-th

null

The title "Time Asymmetric Quantum Theory: the Theory of Resonances" (without questionmark) of the CFIF workshop (23.-26.7.2003, Lisbon, Portugal) implies that the theoretical description of resonances is uniquely described by the formalism of A. Bohm et al. reflecting the title of the workshop. Our presentation in this workshop tries to introduce an apparently inequivalent, alternative feasible relativistic formalism provided by the author under the name "(Anti)Causal Quantum Theory" which is compared to the former.

[ { "created": "Tue, 2 Dec 2003 17:25:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kleefeld", "F.", "", "CFIF, IST, Lisbon, Portugal" ] ]

The title "Time Asymmetric Quantum Theory: the Theory of Resonances" (without questionmark) of the CFIF workshop (23.-26.7.2003, Lisbon, Portugal) implies that the theoretical description of resonances is uniquely described by the formalism of A. Bohm et al. reflecting the title of the workshop. Our presentation in this workshop tries to introduce an apparently inequivalent, alternative feasible relativistic formalism provided by the author under the name "(Anti)Causal Quantum Theory" which is compared to the former.

23.841381

28.325241

29.012901

24.213737

26.707699

25.410114

25.401783

26.392689

24.182936

29.129074

23.296658

25.059963

23.71191

23.447206

24.523743

24.552959

24.035074

23.941685

23.530767

24.290623

23.430574

hep-th/0107046

Tomohiko Takahashi

Tomohiko Takahashi and Seriko Tanimoto

Wilson Lines and Classical Solutions in Cubic Open String Field Theory

12 pages, LaTeX with PTPTeX.sty; minor corrections, comments added

Prog.Theor.Phys. 106 (2001) 863-872

10.1143/PTP.106.863

null

hep-th

null

We construct exact classical solutions in cubic open string field theory. By the redefinition of the string field, we find that the solutions correspond to finite deformations of the Wilson lines. The solutions have well-defined Fock space expressions, and they have no branch cut singularity of marginal parameters which was found in the analysis using level truncation approximation in Feynman-Siegel gauge. We also discuss marginal tachyon lump solutions at critical radius.

[ { "created": "Fri, 6 Jul 2001 06:00:25 GMT", "version": "v1" }, { "created": "Tue, 10 Jul 2001 06:52:14 GMT", "version": "v2" }, { "created": "Sat, 14 Jul 2001 01:25:42 GMT", "version": "v3" }, { "created": "Fri, 14 Dec 2001 09:34:53 GMT", "version": "v4" } ]

2009-11-07

[ [ "Takahashi", "Tomohiko", "" ], [ "Tanimoto", "Seriko", "" ] ]

We construct exact classical solutions in cubic open string field theory. By the redefinition of the string field, we find that the solutions correspond to finite deformations of the Wilson lines. The solutions have well-defined Fock space expressions, and they have no branch cut singularity of marginal parameters which was found in the analysis using level truncation approximation in Feynman-Siegel gauge. We also discuss marginal tachyon lump solutions at critical radius.

14.84581

10.733047

19.042349

11.033038

11.328864

12.831004

12.544969

10.836928

11.33403

18.634359

10.557156

12.325295

15.373003

12.525627

13.159384

13.169848

12.275283

12.686565

12.262231

15.164952

12.341812

0704.2334

Solange Odile Saliu

C. Bizdadea, E. M. Cioroianu, D. Cornea, S. O. Saliu, S. C. Sararu

No interactions for a collection of spin-two fields intermediated by a massive Rarita-Schwinger field

61 pages

Eur.Phys.J.C48:265-289,2006

10.1140/epjc/s2006-02620-9

null

hep-th

null

The cross-couplings among several massless spin-two fields (described in the free limit by a sum of Pauli-Fierz actions) in the presence of a massive Rarita-Schwinger field are investigated in the framework of the deformation theory based on local BRST cohomology. Under the hypotheses of locality, smoothness of the interactions in the coupling constant, Poincare invariance, Lorentz covariance, and the preservation of the number of derivatives on each field, we prove that there are no consistent cross-interactions among different gravitons with a positively defined metric in internal space in the presence of a massive Rarita-Schwinger field. The basic features of the couplings between a single Pauli-Fierz field and a massive Rarita-Schwinger field are also emphasized.

[ { "created": "Wed, 18 Apr 2007 12:05:05 GMT", "version": "v1" } ]

2008-11-26

[ [ "Bizdadea", "C.", "" ], [ "Cioroianu", "E. M.", "" ], [ "Cornea", "D.", "" ], [ "Saliu", "S. O.", "" ], [ "Sararu", "S. C.", "" ] ]

The cross-couplings among several massless spin-two fields (described in the free limit by a sum of Pauli-Fierz actions) in the presence of a massive Rarita-Schwinger field are investigated in the framework of the deformation theory based on local BRST cohomology. Under the hypotheses of locality, smoothness of the interactions in the coupling constant, Poincare invariance, Lorentz covariance, and the preservation of the number of derivatives on each field, we prove that there are no consistent cross-interactions among different gravitons with a positively defined metric in internal space in the presence of a massive Rarita-Schwinger field. The basic features of the couplings between a single Pauli-Fierz field and a massive Rarita-Schwinger field are also emphasized.

7.00739

3.067246

7.550897

4.480316

4.845085

4.623074

4.587508

3.42799

4.185682

8.149248

4.499072

5.476466

7.19521

6.226601

6.235977

6.402692

6.199732

5.921252

6.030064

7.273725

6.11453

0712.3910

Carl Bender

Carl M. Bender

Faster than Hermitian Time Evolution

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

SIGMA 3 (2007), 126, 10 pages

10.3842/SIGMA.2007.126

null

hep-th

null

For any pair of quantum states, an initial state |I> and a final quantum state |F>, in a Hilbert space, there are many Hamiltonians H under which |I> evolves into |F>. Let us impose the constraint that the difference between the largest and smallest eigenvalues of H, E_max and E_min, is held fixed. We can then determine the Hamiltonian H that satisfies this constraint and achieves the transformation from the initial state to the final state in the least possible time \tau. For Hermitian Hamiltonians, \tau has a nonzero lower bound. However, among non-Hermitian PT-symmetric Hamiltonians satisfying the same energy constraint, \tau can be made arbitrarily small without violating the time-energy uncertainty principle. The minimum value of \tau can be made arbitrarily small because for PT-symmetric Hamiltonians the path from the vector |I> to the vector |F>, as measured using the Hilbert-space metric appropriate for this theory, can be made arbitrarily short. The mechanism described here is similar to that in general relativity in which the distance between two space-time points can be made small if they are connected by a wormhole. This result may have applications in quantum computing.

[ { "created": "Sun, 23 Dec 2007 12:06:37 GMT", "version": "v1" }, { "created": "Thu, 27 Dec 2007 13:17:40 GMT", "version": "v2" } ]

2008-04-25

[ [ "Bender", "Carl M.", "" ] ]

For any pair of quantum states, an initial state |I> and a final quantum state |F>, in a Hilbert space, there are many Hamiltonians H under which |I> evolves into |F>. Let us impose the constraint that the difference between the largest and smallest eigenvalues of H, E_max and E_min, is held fixed. We can then determine the Hamiltonian H that satisfies this constraint and achieves the transformation from the initial state to the final state in the least possible time \tau. For Hermitian Hamiltonians, \tau has a nonzero lower bound. However, among non-Hermitian PT-symmetric Hamiltonians satisfying the same energy constraint, \tau can be made arbitrarily small without violating the time-energy uncertainty principle. The minimum value of \tau can be made arbitrarily small because for PT-symmetric Hamiltonians the path from the vector |I> to the vector |F>, as measured using the Hilbert-space metric appropriate for this theory, can be made arbitrarily short. The mechanism described here is similar to that in general relativity in which the distance between two space-time points can be made small if they are connected by a wormhole. This result may have applications in quantum computing.

5.736525

6.579362

6.429358

6.023017

6.176111

6.58691

6.285305

6.491756

6.445534

6.899734

6.038083

5.721462

5.82271

5.786378

6.029601

5.818219

5.810291

5.738348

5.928648

5.744392

5.788291

hep-th/0212203

Paolo Merlatti

P. Merlatti

N=1 super Yang-Mills theories and wrapped branes

1+8 pages, Proceedings of the Leuven RTN-workshop September 2002; typos corrected

Class.Quant.Grav. 20 (2003) S541-S546

10.1088/0264-9381/20/12/321

null

hep-th

null

I consider supergravity solutions of D5 branes wrapped on supersymmetric 2-cycles and use them to discuss relevant features of four-dimensional N=1 super Yang-Mills theories with gauge group SU(N). In particular, using a gravitational dual of the gaugino condensate, it is shown that is possible to obtain the complete NSVZ $\beta$-function. It is also described how different aspects of the gauge theory are nicely encoded in this supergravity solution.

[ { "created": "Tue, 17 Dec 2002 15:45:43 GMT", "version": "v1" }, { "created": "Thu, 23 Jan 2003 10:20:49 GMT", "version": "v2" } ]

2009-11-07

[ [ "Merlatti", "P.", "" ] ]

I consider supergravity solutions of D5 branes wrapped on supersymmetric 2-cycles and use them to discuss relevant features of four-dimensional N=1 super Yang-Mills theories with gauge group SU(N). In particular, using a gravitational dual of the gaugino condensate, it is shown that is possible to obtain the complete NSVZ $\beta$-function. It is also described how different aspects of the gauge theory are nicely encoded in this supergravity solution.

9.242469

6.50834

8.72156

6.535963

6.950016

6.414998

7.047793

6.914902

6.495997

9.013256

6.681617

7.091588

8.12633

7.173281

7.267476

7.426004

7.26121

7.147382

7.171127

8.265821

7.078018

hep-th/9508002

Stephen B. Selipsky

Nick Evans, Stephen D.H. Hsu, Myckola Schwetz and Stephen B. Selipsky

Exact Results And Soft Breaking Masses In Supersymmetric Gauge Theory

Final version to appear in Nucl. Phys. B; LaTex, 19 pgs, no figures. Corrected references and some formulae, with no effect on conclusions

Nucl.Phys. B456 (1995) 205-218

10.1016/0550-3213(95)00516-5

YCTP-P11-95

hep-th hep-ph

null

We give an explicit formalism connecting softly broken supersymmetric gauge theories (with QCD as one limit) to $N=2$ and $N=1$ supersymmetric theories possessing exact solutions, using spurion fields to embed these models in an enlarged $N=1$ model. The functional forms of effective Lagrangian terms resulting from soft supersymmetry breaking are constrained by the symmetries of the enlarged model, although not well enough to fully determine the vacuum structure of generic softly broken models. Nevertheless by perturbing the exact $N=1$ model results with sufficiently small soft breaking masses, we show that there exist nonsupersymmetric models that exhibit monopole condensation and confinement in the same modes as the $N=1$ case.

[ { "created": "Tue, 1 Aug 1995 20:12:43 GMT", "version": "v1" }, { "created": "Sun, 8 Oct 1995 21:44:22 GMT", "version": "v2" } ]

2009-10-28

[ [ "Evans", "Nick", "" ], [ "Hsu", "Stephen D. H.", "" ], [ "Schwetz", "Myckola", "" ], [ "Selipsky", "Stephen B.", "" ] ]

We give an explicit formalism connecting softly broken supersymmetric gauge theories (with QCD as one limit) to $N=2$ and $N=1$ supersymmetric theories possessing exact solutions, using spurion fields to embed these models in an enlarged $N=1$ model. The functional forms of effective Lagrangian terms resulting from soft supersymmetry breaking are constrained by the symmetries of the enlarged model, although not well enough to fully determine the vacuum structure of generic softly broken models. Nevertheless by perturbing the exact $N=1$ model results with sufficiently small soft breaking masses, we show that there exist nonsupersymmetric models that exhibit monopole condensation and confinement in the same modes as the $N=1$ case.

13.497784

12.969131

13.274036

12.01648

13.049631

13.542121

12.489923

12.070341

11.700245

13.576845

12.229779

12.396677

12.237607

11.939609

12.425927

12.343016

12.225423

12.153269

11.760851

12.327558

12.000519

hep-th/0512130

Zheng Ze Ma

The Bekenstein-Hawking Entropy of Higher-Dimensional Rotating Black Holes

9 pages, Latex, v2: arxiv-id for the references supplemented, v3: accepted for publication by Progress of Theoretical Physics

Prog.Theor.Phys.115:863-871,2006

10.1143/PTP.115.863

null

hep-th

null

A black hole can be regarded as a thermodynamic system described by a grand canonical ensemble. In this paper, we study the Bekenstein-Hawking entropy of higher-dimensional rotating black holes using the Euclidean path-integral method of Gibbons and Hawking. We give a general proof demonstrating that ignoring quantum corrections, the Bekenstein-Hawking entropy is equal to one-fourth of its horizon area for general higher-dimensional rotating black holes.

[ { "created": "Mon, 12 Dec 2005 16:38:56 GMT", "version": "v1" }, { "created": "Sat, 25 Feb 2006 11:41:01 GMT", "version": "v2" }, { "created": "Wed, 24 May 2006 14:39:14 GMT", "version": "v3" } ]

2008-11-26

[ [ "Ma", "Zheng Ze", "" ] ]

A black hole can be regarded as a thermodynamic system described by a grand canonical ensemble. In this paper, we study the Bekenstein-Hawking entropy of higher-dimensional rotating black holes using the Euclidean path-integral method of Gibbons and Hawking. We give a general proof demonstrating that ignoring quantum corrections, the Bekenstein-Hawking entropy is equal to one-fourth of its horizon area for general higher-dimensional rotating black holes.

5.724837

5.767137

5.135588

4.861432

5.363548

5.096078

5.845106

5.050657

5.076013

5.631431

5.161515

5.015087

4.918946

5.105667

5.042643

5.118886

5.038168

4.744402

5.132347

5.214964

4.936616

hep-th/9605007

R. Parthasarathy

K.S.Viswanathan and R.Parthasarathy

String Theory In Curved Space-Time

More discussions added in the Introduction and under Eq.64. Additional references included. 27 pages; Revtex

Phys.Rev. D55 (1997) 3800-3810

10.1103/PhysRevD.55.3800

SFU-HEP-04-96

hep-th gr-qc

null

Intrinsic and extrinsic geometric properties of string world sheets in curved space-time background are explored. In our formulation, the only dynamical degrees of freedom of the string are its immersion coordinates. Classical equation of motion and the space-time energy-momentum tensor of the string are obtained. The equations of motion for the extrinsic curvature action are second order for the scalar mean curvature of the world sheet. 1-loop divergent terms are calculated using the background field method. Asymptotic freedom of the extrinsic curvature coupling is established.

[ { "created": "Thu, 2 May 1996 07:22:25 GMT", "version": "v1" }, { "created": "Tue, 30 Jul 1996 10:04:56 GMT", "version": "v2" }, { "created": "Fri, 2 Aug 1996 06:24:21 GMT", "version": "v3" } ]

2009-10-30

[ [ "Viswanathan", "K. S.", "" ], [ "Parthasarathy", "R.", "" ] ]

Intrinsic and extrinsic geometric properties of string world sheets in curved space-time background are explored. In our formulation, the only dynamical degrees of freedom of the string are its immersion coordinates. Classical equation of motion and the space-time energy-momentum tensor of the string are obtained. The equations of motion for the extrinsic curvature action are second order for the scalar mean curvature of the world sheet. 1-loop divergent terms are calculated using the background field method. Asymptotic freedom of the extrinsic curvature coupling is established.

10.626302

9.615317

10.713895

9.352089

9.776081

9.434467

9.742008

9.466812

9.336697

10.556558

9.991976

9.594053

9.996377

9.718049

9.621734

9.427222

9.55377

9.710237

9.800135

10.277421

9.663029

1309.4169

Shinichi Deguchi

Shinichi Deguchi, Shouma Negishi, Satoshi Okano, Takafumi Suzuki

Canonical formalism and quantization of a massless spinning bosonic particle in four dimensions

23 pages, minor changes; published version

Int. J. Mod. Phys. A 29 (2014) 1450044

10.1142/S0217751X14500444

null

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

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

A twistor model of a free massless spinning particle in 4-dimensional Minkowski space is studied in terms of spacetime and spinor variables. This model is specified by a simple action, referred to here as the gauged Shirafuji action, that consists of twistor variables and gauge fields on the 1-dimensional parameter space. We consider the canonical formalism of the model by following the Dirac formulation for constrained Hamiltonian systems. In the subsequent quantization procedure, we obtain a plane-wave solution with momentum spinors. From this solution and coefficient functions, we construct positive-frequency and negative-frequency spinor wave functions defined on complexified Minkowski space. It is shown that the Fourier-Laplace transforms of the coefficient functions lead to the spinor wave functions expressed as the Penrose transforms of the corresponding holomorphic functions on twistor space. We also consider the exponential generating function for the spinor wave functions and derive a novel representation for each of the spinor wave functions.

[ { "created": "Tue, 17 Sep 2013 03:40:26 GMT", "version": "v1" }, { "created": "Thu, 9 Jan 2014 06:52:20 GMT", "version": "v2" }, { "created": "Thu, 27 Mar 2014 06:46:36 GMT", "version": "v3" } ]

2015-06-17

[ [ "Deguchi", "Shinichi", "" ], [ "Negishi", "Shouma", "" ], [ "Okano", "Satoshi", "" ], [ "Suzuki", "Takafumi", "" ] ]

A twistor model of a free massless spinning particle in 4-dimensional Minkowski space is studied in terms of spacetime and spinor variables. This model is specified by a simple action, referred to here as the gauged Shirafuji action, that consists of twistor variables and gauge fields on the 1-dimensional parameter space. We consider the canonical formalism of the model by following the Dirac formulation for constrained Hamiltonian systems. In the subsequent quantization procedure, we obtain a plane-wave solution with momentum spinors. From this solution and coefficient functions, we construct positive-frequency and negative-frequency spinor wave functions defined on complexified Minkowski space. It is shown that the Fourier-Laplace transforms of the coefficient functions lead to the spinor wave functions expressed as the Penrose transforms of the corresponding holomorphic functions on twistor space. We also consider the exponential generating function for the spinor wave functions and derive a novel representation for each of the spinor wave functions.

8.683722

8.305824

8.521391

8.150209

8.871574

8.813758

8.608927

7.950606

8.061905

9.217384

8.008345

8.431769

8.529659

8.331316

8.210099

8.29194

8.226995

8.249289

8.635204

8.720019

8.429706

0907.2647

Sergey Frolov Dr.

Gleb Arutyunov, Sergey Frolov

Simplified TBA equations of the AdS_5 x S^5 mirror model

17 pages

JHEP 0911:019,2009

10.1088/1126-6708/2009/11/019

ITP-UU-09-28, SPIN-09-25, TCDMATH 09-17, HMI-09-08

hep-th

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

We use the recently found integral representation for the dressing phase in the kinematic region of the mirror theory to simplify the TBA equations for the AdS_5 x S^5 mirror model. The resulting set of equations provides an efficient starting point for both analytic and numerical studies.

[ { "created": "Wed, 15 Jul 2009 17:57:42 GMT", "version": "v1" } ]

2009-11-13

[ [ "Arutyunov", "Gleb", "" ], [ "Frolov", "Sergey", "" ] ]

We use the recently found integral representation for the dressing phase in the kinematic region of the mirror theory to simplify the TBA equations for the AdS_5 x S^5 mirror model. The resulting set of equations provides an efficient starting point for both analytic and numerical studies.

12.196645

7.006474

11.203112

7.617035

6.689826

7.514441

6.994656

8.098625

8.012775

12.133106

7.500739

8.161397

10.191326

8.472092

8.058022

7.89317

7.99636

8.026056

7.974026

9.203537

7.958666

hep-th/0207003

James T. Liu

M.J. Duff, James T. Liu and H. Sati

Complementarity of the Maldacena and Karch-Randall Pictures

20 pages, Revtex 3, Discussion on the absence of a scalar ghost clarified; Additional details on the computation given

Phys.Rev. D69 (2004) 085012

10.1103/PhysRevD.69.085012

MCTP-02-39

hep-th

null

We perform a one-loop test of the holographic interpretation of the Karch-Randall model, whereby a massive graviton appears on an AdS_4 brane in an AdS_5 bulk. Within the AdS/CFT framework, we examine the quantum corrections to the graviton propagator on the brane, and demonstrate that they induce a graviton mass in exact agreement with the Karch-Randall result. Interestingly enough, at one loop order, the spin 0, spin 1/2 and spin 1 loops contribute to the dynamically generated (mass)^2 in the same 1: 3: 12 ratio as enters the Weyl anomaly and the 1/r^3 corrections to the Newtonian gravitational potential.

[ { "created": "Fri, 28 Jun 2002 22:13:53 GMT", "version": "v1" }, { "created": "Fri, 26 Jul 2002 18:11:01 GMT", "version": "v2" }, { "created": "Wed, 2 Jun 2004 13:56:16 GMT", "version": "v3" } ]

2009-11-07

[ [ "Duff", "M. J.", "" ], [ "Liu", "James T.", "" ], [ "Sati", "H.", "" ] ]

We perform a one-loop test of the holographic interpretation of the Karch-Randall model, whereby a massive graviton appears on an AdS_4 brane in an AdS_5 bulk. Within the AdS/CFT framework, we examine the quantum corrections to the graviton propagator on the brane, and demonstrate that they induce a graviton mass in exact agreement with the Karch-Randall result. Interestingly enough, at one loop order, the spin 0, spin 1/2 and spin 1 loops contribute to the dynamically generated (mass)^2 in the same 1: 3: 12 ratio as enters the Weyl anomaly and the 1/r^3 corrections to the Newtonian gravitational potential.

7.013643

7.02501

7.655811

6.800065

7.611585

6.858204

7.241692

6.910182

7.234015

8.282774

6.982388

6.591868

7.044899

6.645035

6.814719

6.974665

6.74323

6.456545

6.655346

6.926319

6.631134

hep-th/0005248

Christof Schmidhuber

Micrometer Gravitinos and the Cosmological Constant

estimate in section 4 refined; scale of supersymmetry breaking changes to 2-6 TeV

Nucl.Phys. B585 (2000) 385-394

10.1016/S0550-3213(00)00428-4

CERN-TH/2000-151

hep-th gr-qc hep-ex hep-ph

null

We compute the 4--dimensional cosmological constant in string compactifications in which the Standard Model fields live on a non-supersymmetric brane inside a supersymmetric bulk. The cosmological constant receives contributions only from the vacuum energy of the bulk supergravity fields, but not from the vacuum energy of the brane fields. The latter is absorbed in a warp factor. Supersymmetry breaking on the brane at the TeV scale implies supersymmetry breaking in the bulk at the micrometer scale. This produces a tiny cosmological constant that agrees with experiment within a few orders of magnitude. Our argument predicts superpartners of the graviton with mass of order $10^{-3}$ eV. They should be observable in short-distance tests of Einstein Gravity.

[ { "created": "Thu, 25 May 2000 20:22:20 GMT", "version": "v1" }, { "created": "Fri, 26 May 2000 16:08:02 GMT", "version": "v2" }, { "created": "Thu, 8 Jun 2000 23:07:31 GMT", "version": "v3" }, { "created": "Mon, 26 Jun 2000 20:41:04 GMT", "version": "v4" } ]

2009-10-31

[ [ "Schmidhuber", "Christof", "" ] ]

We compute the 4--dimensional cosmological constant in string compactifications in which the Standard Model fields live on a non-supersymmetric brane inside a supersymmetric bulk. The cosmological constant receives contributions only from the vacuum energy of the bulk supergravity fields, but not from the vacuum energy of the brane fields. The latter is absorbed in a warp factor. Supersymmetry breaking on the brane at the TeV scale implies supersymmetry breaking in the bulk at the micrometer scale. This produces a tiny cosmological constant that agrees with experiment within a few orders of magnitude. Our argument predicts superpartners of the graviton with mass of order $10^{-3}$ eV. They should be observable in short-distance tests of Einstein Gravity.

6.851922

6.864733

6.736547

6.369505

7.160288

6.993068

6.997208

6.237952

6.214771

6.924884

6.394439

6.214998

6.449653

6.219326

6.185122

6.469279

6.257458

6.439832

6.214754

6.139429

6.240783

1810.05337

Daniel Harlow

Daniel Harlow, Hirosi Ooguri

Constraints on symmetry from holography

5 pages, 2 figures. v2: ads/cft review added, journal version up to formatting

Phys. Rev. Lett. 122, 191601 (2019)

10.1103/PhysRevLett.122.191601

null

hep-th gr-qc hep-ph

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

In this letter we use the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to establish a set of old conjectures about symmetries in quantum gravity. These are that no global symmetries are possible, that internal gauge symmetries must come with dynamical objects that transform in all irreducible representations, and that internal gauge groups must be compact. These conjectures are not obviously true from a bulk perspective, they are nontrivial consequences of the non-perturbative consistency of the correspondence. More details of and background for these arguments are presented in an accompanying paper.

[ { "created": "Fri, 12 Oct 2018 03:26:15 GMT", "version": "v1" }, { "created": "Thu, 6 Jun 2019 15:41:26 GMT", "version": "v2" } ]

2019-06-07

[ [ "Harlow", "Daniel", "" ], [ "Ooguri", "Hirosi", "" ] ]

In this letter we use the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to establish a set of old conjectures about symmetries in quantum gravity. These are that no global symmetries are possible, that internal gauge symmetries must come with dynamical objects that transform in all irreducible representations, and that internal gauge groups must be compact. These conjectures are not obviously true from a bulk perspective, they are nontrivial consequences of the non-perturbative consistency of the correspondence. More details of and background for these arguments are presented in an accompanying paper.

8.109977

7.720671

8.200127

6.88515

6.788257

6.7814

6.681963

6.982232

6.858739

8.036684

6.872795

7.043299

7.464081

6.965278

7.028092

7.039955

6.997133

7.197151

6.890996

7.263974

7.252991

2201.09239

Nobuyuki Sawado

P. Klimas, N. Sawado, and S. Yanai

Nodal compact $Q$-ball/$Q$-shell in the $\mathbb{C}P^N$ nonlinear sigma model

22 pages, 12 figures

null

10.1103/PhysRevD.105.085004

null

hep-th gr-qc

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

Nodal, excited compactons in the $\mathbb{C}P^N$ models with V-shaped potentials are analyzed. It is shown that the solutions exist as compact $Q$-balls and $Q$-shells. The solutions have a discontinuity in the second derivative associated with the character of the potential, however, their energy and charge densities are both continuous. The excited $Q$-balls and $Q$-shells are analyzed as electrically neutral and electrically charged objects.

[ { "created": "Sun, 23 Jan 2022 12:10:40 GMT", "version": "v1" } ]

2022-04-20

[ [ "Klimas", "P.", "" ], [ "Sawado", "N.", "" ], [ "Yanai", "S.", "" ] ]

Nodal, excited compactons in the $\mathbb{C}P^N$ models with V-shaped potentials are analyzed. It is shown that the solutions exist as compact $Q$-balls and $Q$-shells. The solutions have a discontinuity in the second derivative associated with the character of the potential, however, their energy and charge densities are both continuous. The excited $Q$-balls and $Q$-shells are analyzed as electrically neutral and electrically charged objects.

10.005466

8.136037

8.920653

8.145095

8.03705

8.81788

8.128811

8.740973

8.093693

10.105572

7.576105

8.01403

8.506976

8.540593

8.098374

8.329071

8.247544

7.876998

8.029226

8.673316

8.474029

hep-th/9809028

Hiroshi Tsukahara

Hiroshi Tsukahara and Takeo Inami

The continuum limit of the integrable open XYZ spin-1/2 chain

8pages, LaTeX; typos in eq.(11) removed, one in reference corrected

null

10.1143/JPSJ.68.319

null

hep-th cond-mat

null

We show that the continuum limit of the integrable XYZ spin-1/2 chain on a half-line gives rise to the boundary sine-Gordon theory using the perturbation method.

[ { "created": "Fri, 4 Sep 1998 08:21:31 GMT", "version": "v1" }, { "created": "Tue, 8 Sep 1998 10:09:35 GMT", "version": "v2" } ]

2009-10-31

[ [ "Tsukahara", "Hiroshi", "" ], [ "Inami", "Takeo", "" ] ]

We show that the continuum limit of the integrable XYZ spin-1/2 chain on a half-line gives rise to the boundary sine-Gordon theory using the perturbation method.

10.887836

7.423417

14.726199

7.334765

7.671889

6.948497

6.910184

7.425656

7.558792

12.463508

7.751859

7.688794

12.609473

8.694917

8.875319

8.605419

8.359343

8.361064

8.793041

11.520737

8.533858

1404.7158

Andrew Royston

Gregory W. Moore, Andrew B. Royston and Dieter Van den Bleeken

Brane bending and monopole moduli

50 pages, 15 figures; v2: typo corrected

JHEP 10 (2014) 157

10.1007/JHEP10(2014)157

MIFPA-14-14

hep-th

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

We study intersecting brane systems that realize a class of singular monopole configurations in four-dimensional Yang-Mills-Higgs theory. Singular monopoles are solutions to the Bogomolny equation on R^3 with a prescribed number of singularities corresponding to the insertion of 't Hooft defects. We use the brane construction to motivate a recent conjecture on the conditions for which the moduli space of solutions is non-empty. We also show how branes provide physical intuition for various aspects of the dimension formula derived in {arXiv:1404.5616}, including the contribution to the dimension from the defects and its invariance under Weyl reflections of the 't Hooft charges. Along the way we uncover and illustrate new dynamical phenomena for the brane systems, including a description of smooth monopole extraction and bubbling from 't Hooft defects.

[ { "created": "Mon, 28 Apr 2014 20:15:13 GMT", "version": "v1" }, { "created": "Sat, 9 Jan 2016 14:18:19 GMT", "version": "v2" } ]

2016-01-12

[ [ "Moore", "Gregory W.", "" ], [ "Royston", "Andrew B.", "" ], [ "Bleeken", "Dieter Van den", "" ] ]

We study intersecting brane systems that realize a class of singular monopole configurations in four-dimensional Yang-Mills-Higgs theory. Singular monopoles are solutions to the Bogomolny equation on R^3 with a prescribed number of singularities corresponding to the insertion of 't Hooft defects. We use the brane construction to motivate a recent conjecture on the conditions for which the moduli space of solutions is non-empty. We also show how branes provide physical intuition for various aspects of the dimension formula derived in {arXiv:1404.5616}, including the contribution to the dimension from the defects and its invariance under Weyl reflections of the 't Hooft charges. Along the way we uncover and illustrate new dynamical phenomena for the brane systems, including a description of smooth monopole extraction and bubbling from 't Hooft defects.

8.377161

8.217502

9.015898

7.807929

8.355863

8.451386

8.172562

8.655424

8.011718

10.460151

8.21278

7.931546

9.202528

8.092169

8.175135

8.138678

8.165728

8.088805

8.14782

8.401026

8.086958

hep-th/0406063

Alexander Burinskii

Twistorial Analyticity and Three Stringy Systems of the Kerr Spinning Particle

14 p. latex, English improved and misprint in reference corrected

Phys.Rev. D70 (2004) 086006

10.1103/PhysRevD.70.086006

null

hep-th gr-qc quant-ph

null

The Kerr spinning particle has a remarkable analytical twistorial structure. Analyzing electromagnetic excitations of the Kerr circular string which are aligned to this structure, we obtain a simple stringy skeleton of the spinning particle which is formed by a topological coupling of the Kerr circular singular string and by an axial singular stringy system. We show that the chiral traveling waves, related to an orientifold world-sheet of the axial stringy system, are described by the massive Dirac equation, so we argue that the axial string may play the part of a stringy carrier of wave function and play also a dominant role in the scattering processes. A key role of the third, {\it complex} Kerr string is discussed. We conjecture that it may be one more alternative to the Witten twistor string, and a relation to the spinor helicity formalism is also discussed.

[ { "created": "Mon, 7 Jun 2004 13:08:56 GMT", "version": "v1" }, { "created": "Mon, 2 Aug 2004 11:20:27 GMT", "version": "v2" }, { "created": "Mon, 23 Aug 2004 09:57:06 GMT", "version": "v3" }, { "created": "Tue, 14 Sep 2004 10:56:30 GMT", "version": "v4" } ]

2016-09-06

[ [ "Burinskii", "Alexander", "" ] ]

The Kerr spinning particle has a remarkable analytical twistorial structure. Analyzing electromagnetic excitations of the Kerr circular string which are aligned to this structure, we obtain a simple stringy skeleton of the spinning particle which is formed by a topological coupling of the Kerr circular singular string and by an axial singular stringy system. We show that the chiral traveling waves, related to an orientifold world-sheet of the axial stringy system, are described by the massive Dirac equation, so we argue that the axial string may play the part of a stringy carrier of wave function and play also a dominant role in the scattering processes. A key role of the third, {\it complex} Kerr string is discussed. We conjecture that it may be one more alternative to the Witten twistor string, and a relation to the spinor helicity formalism is also discussed.

21.830801

17.957235

21.778393

18.690603

18.27581

17.933764

18.579487

17.650761

19.091146

22.58626

18.322529

20.76462

21.155571

20.033627

20.519419

20.320156

20.272808

20.080759

20.185915

21.255772

20.221025

hep-th/0201069

Kurt Haller

What can we learn about Gribov copies from a formulation of QCD in terms of gauge-invariant fields?

To appear in Proceedings of the 6th Workshop on Non-Perturbative QCD, Paris, France, June 5-9, 2001

null

10.1142/9789812778352_0050

null

hep-th

null

We review the procedure by which we implemented the non-Abelian Gauss's law and constructed gauge-invariant fields for QCD in the temporal (Weyl) gauge. We point out that the operator-valued transformation that transforms gauge-dependent temporal-gauge fields into gauge-invariant ones has the formal structure of a gauge transformation. We express the ``standard'' Hamiltonian for temporal-gauge QCD entirely in terms of gauge-invariant fields, calculate the commutation rules for these fields, and compare them to earlier work on Coulomb-gauge QCD. We also discuss multiplicities of gauge-invariant temporal-gauge fields that belong to different topological sectors and that, in previous work, were shown to be based on the same underlying gauge-dependent temporal-gauge fields. We relate these multiplicities of gauge-invariant fields to Gribov copies. We argue that Gribov copies appear in the temporal gauge, but not when the theory is represented in terms of gauge-dependent fields and Gauss's law is left unimplemented. There are Gribov copies of the gauge-invariant gauge field, which can be constructed when Gauss's law is implemented.

[ { "created": "Thu, 10 Jan 2002 20:29:27 GMT", "version": "v1" } ]

2017-08-23

[ [ "Haller", "Kurt", "" ] ]

We review the procedure by which we implemented the non-Abelian Gauss's law and constructed gauge-invariant fields for QCD in the temporal (Weyl) gauge. We point out that the operator-valued transformation that transforms gauge-dependent temporal-gauge fields into gauge-invariant ones has the formal structure of a gauge transformation. We express the ``standard'' Hamiltonian for temporal-gauge QCD entirely in terms of gauge-invariant fields, calculate the commutation rules for these fields, and compare them to earlier work on Coulomb-gauge QCD. We also discuss multiplicities of gauge-invariant temporal-gauge fields that belong to different topological sectors and that, in previous work, were shown to be based on the same underlying gauge-dependent temporal-gauge fields. We relate these multiplicities of gauge-invariant fields to Gribov copies. We argue that Gribov copies appear in the temporal gauge, but not when the theory is represented in terms of gauge-dependent fields and Gauss's law is left unimplemented. There are Gribov copies of the gauge-invariant gauge field, which can be constructed when Gauss's law is implemented.

8.008176

6.860592

8.109721

7.209272

7.13731

7.157405

7.014531

7.073082

6.952391

8.63605

7.092227

7.416367

7.549829

7.413185

7.537301

7.522393

7.633951

7.40795

7.538013

7.752798

7.738513

0809.1876

Joshua Davis

Joshua L. Davis, Per Kraus, Akhil Shah

Gravity Dual of a Quantum Hall Plateau Transition

27 pages, 6 figures, harvmac; v2, references and minor comments added, version to be submitted to JHEP; v3, corrections to section 4

JHEP 0811:020,2008

10.1088/1126-6708/2008/11/020

null

hep-th cond-mat.mes-hall

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

We show how to model the transition between distinct quantum Hall plateaus in terms of D-branes in string theory. A low energy theory of 2+1 dimensional fermions is obtained by considering the D3-D7 system, and the plateau transition corresponds to moving the branes through one another. We study the transition at strong coupling using gauge/gravity duality and the probe approximation. Strong coupling leads to a novel kind of plateau transition: at low temperatures the transition remains discontinuous due to the effects of dynamical symmetry breaking and mass generation, and at high temperatures is only partially smoothed out.

[ { "created": "Wed, 10 Sep 2008 23:18:08 GMT", "version": "v1" }, { "created": "Fri, 26 Sep 2008 18:27:25 GMT", "version": "v2" }, { "created": "Wed, 10 Jun 2009 22:48:54 GMT", "version": "v3" } ]

2009-06-11

[ [ "Davis", "Joshua L.", "" ], [ "Kraus", "Per", "" ], [ "Shah", "Akhil", "" ] ]

We show how to model the transition between distinct quantum Hall plateaus in terms of D-branes in string theory. A low energy theory of 2+1 dimensional fermions is obtained by considering the D3-D7 system, and the plateau transition corresponds to moving the branes through one another. We study the transition at strong coupling using gauge/gravity duality and the probe approximation. Strong coupling leads to a novel kind of plateau transition: at low temperatures the transition remains discontinuous due to the effects of dynamical symmetry breaking and mass generation, and at high temperatures is only partially smoothed out.

10.136496

9.923701

10.410212

9.212006

9.511218

8.993199

9.170957

10.271585

9.054875

12.286681

9.472206

9.349022

9.875238

9.427376

8.891428

9.029215

9.004171

8.982842

9.352172

10.279495

9.269126

hep-th/9502062

Justin D. Hayward

J. D. Hayward

String-Motivated Model

13 pages, published version, now in Latex, minor revisions, references amended

Phys.Rev. D52 (1995) 1019-1025

10.1103/PhysRevD.52.1019

DAMTP-R95/05

hep-th gr-qc

null

The two-dimensional model which emerges from low-energy considerations of string theory is written down. Solutions of this classical model are noted, including some examples which have nontrivial tachyon field. One such represents the classical backreaction of the tachyon field on the black hole for a two parameter set of tachyon potentials. Assuming the classical black hole background in the `Eddington-Finkelstein' gauge, the tachyon equation is separable and the radial part is solved by a hypergeometric function, which is in general of complex argument. A semi-classical prescription for including the quantum effects of the tachyon field is described, and the resulting equations of motion are found. Special solutions of these equations are written down.

[ { "created": "Fri, 10 Feb 1995 19:38:00 GMT", "version": "v1" }, { "created": "Tue, 8 Aug 1995 11:20:21 GMT", "version": "v2" } ]

2009-10-28

[ [ "Hayward", "J. D.", "" ] ]

The two-dimensional model which emerges from low-energy considerations of string theory is written down. Solutions of this classical model are noted, including some examples which have nontrivial tachyon field. One such represents the classical backreaction of the tachyon field on the black hole for a two parameter set of tachyon potentials. Assuming the classical black hole background in the `Eddington-Finkelstein' gauge, the tachyon equation is separable and the radial part is solved by a hypergeometric function, which is in general of complex argument. A semi-classical prescription for including the quantum effects of the tachyon field is described, and the resulting equations of motion are found. Special solutions of these equations are written down.

10.965257

11.080197

10.836512

10.122039

11.254352

10.799419

9.915249

10.312998

10.114612

11.562373

9.996117

10.570169

10.327826

9.986043

10.207013

10.523783

10.104089

10.379882

10.162896

10.189657

9.936629

0709.2186

Timm Wrase

Daniel Robbins and Timm Wrase

D-Terms from Generalized NS-NS Fluxes in Type II

31+1 pages, uses utarticle.cls; v2: references added

JHEP 0712:058,2007

10.1088/1126-6708/2007/12/058

UTTG-07-07

hep-th

null

Orientifolds of type II string theory admit a certain set of generalized NS-NS fluxes, including not only the three-form field strength H, but also metric and non-geometric fluxes, which are related to H by T-duality. We describe in general how these fluxes appear as parameters of an effective N=1 supergravity theory in four dimensions, and in particular how certain generalized NS-NS fluxes can act as charges for R-R axions, leading to D-term contributions to the effective scalar potential. We illustrate these phenomena in type IIB with the example of a certain orientifold of T^6/Z_4.

[ { "created": "Thu, 13 Sep 2007 23:17:51 GMT", "version": "v1" }, { "created": "Fri, 5 Oct 2007 18:10:36 GMT", "version": "v2" } ]

2009-06-11

[ [ "Robbins", "Daniel", "" ], [ "Wrase", "Timm", "" ] ]

Orientifolds of type II string theory admit a certain set of generalized NS-NS fluxes, including not only the three-form field strength H, but also metric and non-geometric fluxes, which are related to H by T-duality. We describe in general how these fluxes appear as parameters of an effective N=1 supergravity theory in four dimensions, and in particular how certain generalized NS-NS fluxes can act as charges for R-R axions, leading to D-term contributions to the effective scalar potential. We illustrate these phenomena in type IIB with the example of a certain orientifold of T^6/Z_4.

7.466525

6.450038

7.590831

6.279982

6.715298

6.467577

6.050886

6.1054

5.986781

7.721098

5.708596

6.063315

6.108242

6.009367

6.041564

5.942754

6.112869

6.069952

5.880971

6.292796

6.029305

hep-th/0111199

Piljin Yi

Yoji Michishita and Piljin Yi

D-Brane Probe and Closed String Tachyons

LaTeX, 17 pages, typos fixed, references updated

Phys.Rev. D65 (2002) 086006

10.1103/PhysRevD.65.086006

KIAS-P01052

hep-th

null

We consider a D-brane probe in unstable string background associated with flux branes. The twist in spacetime metric reponsible for the supersymmetry breaking is shown to manifest itself in mixing of open Wilson lines with the phases of some adjoint matter fields, resulting in a nonlocal and nonsupersymmetric form of Yang-Mills theory as the probe dynamics. This provides a setup where one can study fate of a large class of unstable closed string theories that include as a limit type 0 theories and various orbifolds of type II and type 0 theories. We discuss the limit of ${\bf C}/Z_n$ orbifold in some detail and speculate on couplings with closed string tachyons.

[ { "created": "Thu, 22 Nov 2001 08:52:43 GMT", "version": "v1" }, { "created": "Tue, 4 Dec 2001 05:51:18 GMT", "version": "v2" } ]

2009-11-07

[ [ "Michishita", "Yoji", "" ], [ "Yi", "Piljin", "" ] ]

We consider a D-brane probe in unstable string background associated with flux branes. The twist in spacetime metric reponsible for the supersymmetry breaking is shown to manifest itself in mixing of open Wilson lines with the phases of some adjoint matter fields, resulting in a nonlocal and nonsupersymmetric form of Yang-Mills theory as the probe dynamics. This provides a setup where one can study fate of a large class of unstable closed string theories that include as a limit type 0 theories and various orbifolds of type II and type 0 theories. We discuss the limit of ${\bf C}/Z_n$ orbifold in some detail and speculate on couplings with closed string tachyons.

15.199172

14.207595

16.683182

13.945078

14.195785

14.217896

14.415163

14.854722

14.108886

18.402325

14.332149

14.75971

15.256383

13.838305

13.610844

14.182871

13.793168

14.163732

13.794421

15.457273

14.302205

hep-th/9208020

Yuri Makeenko

S.Khokhlachev and Yu.Makeenko

The Problem of Large-N Phase Transition in Kazakov-Migdal Model of Induced QCD

10 pages, ITEP-YM-5-92

Phys.Lett. B297 (1992) 345-352

10.1016/0370-2693(92)91273-C

null

hep-th hep-lat

null

We study the lattice gauge model proposed recently by Kazakov and Migdal for inducing QCD. We discuss an extra local Z_N which is a symmetry of the model and propose of how to construct observables. We discuss the role of the large-N phase transition which should occur before the one associated with the continuum limit in order that the model describes continuum QCD. We formulate the mean field approach to study the large-N phase transition for an arbitrary potential and show that no first order phase transition occurs for the quadratic potential.

[ { "created": "Thu, 6 Aug 1992 19:03:42 GMT", "version": "v1" } ]

2009-10-22

[ [ "Khokhlachev", "S.", "" ], [ "Makeenko", "Yu.", "" ] ]

We study the lattice gauge model proposed recently by Kazakov and Migdal for inducing QCD. We discuss an extra local Z_N which is a symmetry of the model and propose of how to construct observables. We discuss the role of the large-N phase transition which should occur before the one associated with the continuum limit in order that the model describes continuum QCD. We formulate the mean field approach to study the large-N phase transition for an arbitrary potential and show that no first order phase transition occurs for the quadratic potential.

14.9152

13.21804

14.413723

12.25328

12.672678

12.293886

12.674894

13.169603

12.797962

14.763772

12.987855

13.258029

14.387347

13.674527

13.897552

14.037269

13.902712

13.950844

13.82544

14.100533

13.843393

1302.7297

Michele Cirafici

Defects in Cohomological Gauge Theory and Donaldson-Thomas Invariants

43 pages; v2: reference added

null

hep-th math-ph math.AG math.MP

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

Donaldson-Thomas theory on a Calabi-Yau can be described in terms of a certain six-dimensional cohomological gauge theory. We introduce a certain class of defects in this gauge theory which generalize surface defects in four dimensions. These defects are associated with divisors and are defined by prescribing certain boundary conditions for the gauge fields. We discuss generalized instanton moduli spaces when the theory is defined with a defect and propose a generalization of Donaldson-Thomas invariants. These invariants arise by studying torsion free coherent sheaves on Calabi-Yau varieties with a certain parabolic structure along a divisor, determined by the defect. We discuss the case of the affine space as a concrete example. In this case the moduli space of parabolic sheaves admits an alternative description in terms of the representation theory of a certain quiver. The latter can be used to compute the invariants explicitly via equivariant localization. We also briefly discuss extensions of our work to other higher dimensional field theories.

[ { "created": "Thu, 28 Feb 2013 19:39:56 GMT", "version": "v1" }, { "created": "Fri, 24 May 2013 10:53:19 GMT", "version": "v2" } ]

2013-05-27

[ [ "Cirafici", "Michele", "" ] ]

Donaldson-Thomas theory on a Calabi-Yau can be described in terms of a certain six-dimensional cohomological gauge theory. We introduce a certain class of defects in this gauge theory which generalize surface defects in four dimensions. These defects are associated with divisors and are defined by prescribing certain boundary conditions for the gauge fields. We discuss generalized instanton moduli spaces when the theory is defined with a defect and propose a generalization of Donaldson-Thomas invariants. These invariants arise by studying torsion free coherent sheaves on Calabi-Yau varieties with a certain parabolic structure along a divisor, determined by the defect. We discuss the case of the affine space as a concrete example. In this case the moduli space of parabolic sheaves admits an alternative description in terms of the representation theory of a certain quiver. The latter can be used to compute the invariants explicitly via equivariant localization. We also briefly discuss extensions of our work to other higher dimensional field theories.

7.900982

7.754473

8.248496

7.655894

7.544778

7.379733

7.705975

7.176713

6.97804

8.910356

7.384905

7.189674

7.472179

7.292639

7.15205

7.211332

7.077556

7.113518

7.175748

7.750478

7.090554

hep-th/9301052

Ruth Gregory

R.Gregory and R.Laflamme

Black Strings and p-Branes are Unstable

11 pages plain TeX, 2 figures (not included), EFI-93-02 (TeX corrected)

Phys.Rev.Lett.70:2837-2840,1993

10.1103/PhysRevLett.70.2837

null

hep-th gr-qc

null

We investigate the evolution of small perturbations around black strings and branes which are low energy solutions of string theory. For simplicity we focus attention on the zero charge case and show that there are unstable modes for a range of time frequency and wavelength in the extra $10-D$ dimensions. These perturbations can be stabililized if the extra dimensions are compactified to a scale smaller than the minimum wavelength for which instability occurs and thus will not affect large astrophysical black holes in four dimensions. We comment on the implications of this result for the Cosmic Censorship Hypothesis.

[ { "created": "Wed, 13 Jan 1993 20:31:31 GMT", "version": "v1" }, { "created": "Fri, 15 Jan 1993 17:58:56 GMT", "version": "v2" } ]

2009-01-23

[ [ "Gregory", "R.", "" ], [ "Laflamme", "R.", "" ] ]

We investigate the evolution of small perturbations around black strings and branes which are low energy solutions of string theory. For simplicity we focus attention on the zero charge case and show that there are unstable modes for a range of time frequency and wavelength in the extra $10-D$ dimensions. These perturbations can be stabililized if the extra dimensions are compactified to a scale smaller than the minimum wavelength for which instability occurs and thus will not affect large astrophysical black holes in four dimensions. We comment on the implications of this result for the Cosmic Censorship Hypothesis.

11.757184

12.975042

12.255564

11.161265

12.255167

11.033248

11.622495

11.217114

10.810898

12.005368

10.961784

11.380515

11.421474

11.417691

11.251009

11.227761

11.400462

11.34647

11.072856

11.275868

10.967497

1512.03803

Dionysios Anninos

Dionysios Anninos, Frederik Denef and Ruben Monten

Grassmann Matrix Quantum Mechanics

25 pages + appendices

null

10.1007/JHEP04(2016)138

null

hep-th

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

We explore quantum mechanical theories whose fundamental degrees of freedom are rectangular matrices with Grassmann valued matrix elements. We study particular models where the low energy sector can be described in terms of a bosonic Hermitian matrix quantum mechanics. We describe the classical curved phase space that emerges in the low energy sector. The phase space lives on a compact Kahler manifold parameterized by a complex matrix, of the type discovered some time ago by Berezin. The emergence of a semiclassical bosonic matrix quantum mechanics at low energies requires that the original Grassmann matrices be in the long rectangular limit. We discuss possible holographic interpretations of such matrix models which, by construction, are endowed with a finite dimensional Hilbert space.

[ { "created": "Fri, 11 Dec 2015 20:54:09 GMT", "version": "v1" } ]

2016-05-25

[ [ "Anninos", "Dionysios", "" ], [ "Denef", "Frederik", "" ], [ "Monten", "Ruben", "" ] ]

We explore quantum mechanical theories whose fundamental degrees of freedom are rectangular matrices with Grassmann valued matrix elements. We study particular models where the low energy sector can be described in terms of a bosonic Hermitian matrix quantum mechanics. We describe the classical curved phase space that emerges in the low energy sector. The phase space lives on a compact Kahler manifold parameterized by a complex matrix, of the type discovered some time ago by Berezin. The emergence of a semiclassical bosonic matrix quantum mechanics at low energies requires that the original Grassmann matrices be in the long rectangular limit. We discuss possible holographic interpretations of such matrix models which, by construction, are endowed with a finite dimensional Hilbert space.

10.437209

9.900898

11.815307

9.929621

10.58725

9.96499

10.123755

10.604875

10.415436

11.866999

9.678355

10.558392

10.90498

10.074335

10.074277

10.573005

10.147106

10.448346

10.381552

10.964078

9.99677

hep-th/0509081

James Dent

R. Arnowitt and J. Dent

Gravitational Forces in the Randall-Sundrum Model with a Scalar Stabilizing Field

22 pages, Fig.1 added

Phys.Rev.D75:064001,2007

10.1103/PhysRevD.75.064001

null

hep-th gr-qc hep-ph

null

We consider the problem of gravitational forces between point particles on the branes in a five dimensional (5D) Randall-Sundrum model with two branes (at $y_1$ and $y_2$) and $S^1/Z_2$ symmetry of the fifth dimension. The matter on the branes is viewed as a perturbation on the vacuum metric and treated to linear order. In previous work \cite{ad} it was seen that the trace of the transverse part of the 4D metric on the TeV brane, $f^T(y_2)$, contributed a Newtonian potential enhanced by $e^{2\beta y_2} \cong 10^{32}$ and thus produced gross disagreement with experiment. In this work we include a scalar stabilizing field $\phi$ and solve the coupled Einstein and scalar equations to leading order for the case where $\phi_{0}^2/M_{5}^3$ is small and the vacuum field $\phi_{0}(y)$ is a decreasing function of $y$. $f^T$ then grows a mass factor $e^{-\mu r}$ where however, $\mu$ is suppressed from its natural value, $\mathcal{O}(M_{Pl})$, by an exponential factor $e^{-(1+\lambda_b)\beta y_2}$, $\lambda_b > 0$. Thus agreement with experiment depends on the interplay between the enhancing and decaying exponentials. Current data eliminates a significant part of the parameter space, and the Randall-Sundrum model will be sensitive to any improvements on the tests of the Newtonian force law at smaller distances.

[ { "created": "Mon, 12 Sep 2005 14:57:35 GMT", "version": "v1" }, { "created": "Fri, 23 Sep 2005 16:46:27 GMT", "version": "v2" }, { "created": "Thu, 1 Mar 2007 20:16:54 GMT", "version": "v3" } ]

2008-11-26

[ [ "Arnowitt", "R.", "" ], [ "Dent", "J.", "" ] ]

We consider the problem of gravitational forces between point particles on the branes in a five dimensional (5D) Randall-Sundrum model with two branes (at $y_1$ and $y_2$) and $S^1/Z_2$ symmetry of the fifth dimension. The matter on the branes is viewed as a perturbation on the vacuum metric and treated to linear order. In previous work \cite{ad} it was seen that the trace of the transverse part of the 4D metric on the TeV brane, $f^T(y_2)$, contributed a Newtonian potential enhanced by $e^{2\beta y_2} \cong 10^{32}$ and thus produced gross disagreement with experiment. In this work we include a scalar stabilizing field $\phi$ and solve the coupled Einstein and scalar equations to leading order for the case where $\phi_{0}^2/M_{5}^3$ is small and the vacuum field $\phi_{0}(y)$ is a decreasing function of $y$. $f^T$ then grows a mass factor $e^{-\mu r}$ where however, $\mu$ is suppressed from its natural value, $\mathcal{O}(M_{Pl})$, by an exponential factor $e^{-(1+\lambda_b)\beta y_2}$, $\lambda_b > 0$. Thus agreement with experiment depends on the interplay between the enhancing and decaying exponentials. Current data eliminates a significant part of the parameter space, and the Randall-Sundrum model will be sensitive to any improvements on the tests of the Newtonian force law at smaller distances.

7.673779

8.787949

7.810199

7.345393

8.027287

7.671348

8.524809

7.83404

7.442118

8.441754

7.785697

7.669852

7.55579

7.492076

7.719927

7.829428

7.704614

7.73851

7.630262

7.591845

7.726832

hep-th/0201089

Nicolas Couchoud

Nicolas Couchoud (LPTHE and LPTENS, Paris)

D-branes and orientifolds of SO(3)

11 pages, no figure, uses JHEP3.cls. V2 : minor corrections

JHEP 0203 (2002) 026

10.1088/1126-6708/2002/03/026

LPTHE-02-03, LPTENS-02/05

hep-th

null

We study branes and orientifolds on the group manifold of SO(3). We consider particularly the case of the equatorial branes, which are projective planes. We show that a Dirac-Born-Infeld action can be defined on them, although they are not orientable. We find that there are two orientifold projections with the same spacetime action, which differ by their action on equatorial branes.

[ { "created": "Mon, 14 Jan 2002 15:32:07 GMT", "version": "v1" }, { "created": "Thu, 21 Mar 2002 15:52:15 GMT", "version": "v2" } ]

2009-11-07

[ [ "Couchoud", "Nicolas", "", "LPTHE and LPTENS, Paris" ] ]

We study branes and orientifolds on the group manifold of SO(3). We consider particularly the case of the equatorial branes, which are projective planes. We show that a Dirac-Born-Infeld action can be defined on them, although they are not orientable. We find that there are two orientifold projections with the same spacetime action, which differ by their action on equatorial branes.

8.966727

8.375317

10.756377

8.620022

7.499437

8.343694

8.89752

8.051611

7.812076

10.55745

7.630127

7.880895

9.198248

8.382169

8.269372

8.011437

7.919449

8.122395

8.321685

9.366174

8.028084

hep-th/9912122

Damiano Anselmi

D. Anselmi

Irreversibility and higher-spin conformal field theory

25 pages. Presentation reorganized, with the final section moved to the beginning. CQG in press

Class.Quant.Grav. 17 (2000) 2847-2866

10.1088/0264-9381/17/15/301

CERN-TH/99-383

hep-th

null

I discuss the properties of the central charges c and a for higher-derivative and higher-spin theories (spin 2 included). Ordinary gravity does not admit a straightforward identification of c and a in the trace anomaly, because it is not conformal. On the other hand, higher-derivative theories can be conformal, but have negative c and a. A third possibility is to consider higher-spin conformal field theories. They are not unitary, but have a variety of interesting properties. Bosonic conformal tensors have a positive-definite action, equal to the square of a field strength, and a higher-derivative gauge invariance. There exists a conserved spin-2 current (not the canonical stress tensor) defining positive central charges c and a. I calculate the values of c and a and study the operator-product structure. Higher-spin conformal spinors have no gauge invariance, admit a standard definition of c and a and can be coupled to Abelian and non-Abelian gauge fields in a renormalizable way. At the quantum level, they contribute to the one-loop beta function with the same sign as ordinary matter, admit a conformal window and non-trivial interacting fixed points. There are composite operators of high spin and low dimension, which violate the Ferrara-Gatto-Grillo theorem. Finally, other theories, such as conformal antisymmetric tensors, exhibit more severe internal problems. This research is motivated by the idea that fundamental quantum field theories should be renormalization-group (RG) interpolations between ultraviolet and infrared conformal fixed points, and quantum irreversibility should be a general principle of nature.

[ { "created": "Tue, 14 Dec 1999 18:52:17 GMT", "version": "v1" }, { "created": "Tue, 30 May 2000 18:41:31 GMT", "version": "v2" } ]

2009-10-31

[ [ "Anselmi", "D.", "" ] ]

I discuss the properties of the central charges c and a for higher-derivative and higher-spin theories (spin 2 included). Ordinary gravity does not admit a straightforward identification of c and a in the trace anomaly, because it is not conformal. On the other hand, higher-derivative theories can be conformal, but have negative c and a. A third possibility is to consider higher-spin conformal field theories. They are not unitary, but have a variety of interesting properties. Bosonic conformal tensors have a positive-definite action, equal to the square of a field strength, and a higher-derivative gauge invariance. There exists a conserved spin-2 current (not the canonical stress tensor) defining positive central charges c and a. I calculate the values of c and a and study the operator-product structure. Higher-spin conformal spinors have no gauge invariance, admit a standard definition of c and a and can be coupled to Abelian and non-Abelian gauge fields in a renormalizable way. At the quantum level, they contribute to the one-loop beta function with the same sign as ordinary matter, admit a conformal window and non-trivial interacting fixed points. There are composite operators of high spin and low dimension, which violate the Ferrara-Gatto-Grillo theorem. Finally, other theories, such as conformal antisymmetric tensors, exhibit more severe internal problems. This research is motivated by the idea that fundamental quantum field theories should be renormalization-group (RG) interpolations between ultraviolet and infrared conformal fixed points, and quantum irreversibility should be a general principle of nature.

4.491734

7.732551

7.924964

6.888832

7.502497

7.967263

7.693747

6.492281

7.17839

8.26445

7.124238

5.905709

6.08459

5.798313

6.022228

6.103667

6.532827

5.938527

5.950744

6.950782

5.638733

2203.15830

Erickson Tjoa

Erickson Tjoa and Finnian Gray

Holographic reconstruction of asymptotically flat spacetimes

10 pages, single column; Essay written for the Gravity Research Foundation 2022 Awards for Essays on Gravitation --- Honourable Mention. Submitted to IJMPD for consideration as part of GRF special issue. arXiv admin note: text overlap with arXiv:2204.13133

null

10.1142/S0218271822420123

null

hep-th gr-qc quant-ph

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

We present a "holographic" reconstruction of bulk spacetime geometry using correlation functions of a massless field living at the "future boundary" of the spacetime, namely future null infinity $\mathscr{I}^+$. It is holographic in the sense that there exists a one-to-one correspondence between correlation functions of a massless field in four-dimensional spacetime $\mathcal{M}$ and those of another massless field living in three-dimensional null boundary $\mathscr{I}^+$. The idea is to first reconstruct the bulk metric $g_{\mu\nu}$ by "inverting" the bulk correlation functions and re-express the latter in terms of boundary correlators via the correspondence. This effectively allows asymptotic observers close to $\mathscr{I}^+$ to reconstruct the deep interior of the spacetime using only correlation functions localized near $\mathscr{I}^+$.

[ { "created": "Tue, 29 Mar 2022 18:02:53 GMT", "version": "v1" }, { "created": "Thu, 12 May 2022 02:33:16 GMT", "version": "v2" }, { "created": "Mon, 23 May 2022 21:06:26 GMT", "version": "v3" } ]

2022-12-07

[ [ "Tjoa", "Erickson", "" ], [ "Gray", "Finnian", "" ] ]

We present a "holographic" reconstruction of bulk spacetime geometry using correlation functions of a massless field living at the "future boundary" of the spacetime, namely future null infinity $\mathscr{I}^+$. It is holographic in the sense that there exists a one-to-one correspondence between correlation functions of a massless field in four-dimensional spacetime $\mathcal{M}$ and those of another massless field living in three-dimensional null boundary $\mathscr{I}^+$. The idea is to first reconstruct the bulk metric $g_{\mu\nu}$ by "inverting" the bulk correlation functions and re-express the latter in terms of boundary correlators via the correspondence. This effectively allows asymptotic observers close to $\mathscr{I}^+$ to reconstruct the deep interior of the spacetime using only correlation functions localized near $\mathscr{I}^+$.

5.550696

5.90092

5.720831

5.377821

5.44577

5.314746

5.610118

5.587467

5.576286

5.669711

5.300042

5.290583

5.278447

5.345738

5.207423

5.409424

5.252698

5.218076

5.322055

5.538105

5.139878

2307.11641

Chandrasekhar Bhamidipati

Aditya Singh, Poulami Mukherjee and Chandrasekhar Bhamidipati

Thermodynamic curvature of charged black holes with $AdS_2$ horizons

v1: 12 pages, 3 figures; v2: 17 pages, 5 figures, changes due to quantum corrections addressed in subsection 3.2, conclusions added accordingly, references and acknowledgements added

null

hep-th

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

Sign and magnitude of the thermodynamic curvature provides empirical information about the nature of microstructures of a general thermodynamic system. For charged black holes in AdS, thermodynamic curvature is positive for large charge or chemical potential, and diverges for extremal black holes, indicating strongly repulsive nature. We compute the thermodynamic curvature at low temperatures, for charged black holes with AdS$_2$ near horizon geometry, and containing a zero temperature horizon radius $r_h$, in a spacetime which asymptotically approaches $AdS_D$ (for $D>3$). In the semi-classical analysis at low temperatures, the curvature shows a novel crossover from negative to positive side, indicating the shift from attraction to repulsion dominated regime near $T=0$, before diverging as $1/(\gamma T)$, where $\gamma$ is the coefficient of leading low temperature correction to entropy. Accounting for quantum fluctuations, the curvature computed in the canonical ensemble is positive, whereas the one in the grand canonical ensemble, continues to show a crossover from negative to positive side. Moreover, the divergence of curvature at $T=0$ is cured irrespective of the ensemble used, resulting in a universal constant.

[ { "created": "Fri, 21 Jul 2023 15:19:45 GMT", "version": "v1" }, { "created": "Fri, 4 Aug 2023 17:24:56 GMT", "version": "v2" } ]

2023-08-07

[ [ "Singh", "Aditya", "" ], [ "Mukherjee", "Poulami", "" ], [ "Bhamidipati", "Chandrasekhar", "" ] ]

Sign and magnitude of the thermodynamic curvature provides empirical information about the nature of microstructures of a general thermodynamic system. For charged black holes in AdS, thermodynamic curvature is positive for large charge or chemical potential, and diverges for extremal black holes, indicating strongly repulsive nature. We compute the thermodynamic curvature at low temperatures, for charged black holes with AdS$_2$ near horizon geometry, and containing a zero temperature horizon radius $r_h$, in a spacetime which asymptotically approaches $AdS_D$ (for $D>3$). In the semi-classical analysis at low temperatures, the curvature shows a novel crossover from negative to positive side, indicating the shift from attraction to repulsion dominated regime near $T=0$, before diverging as $1/(\gamma T)$, where $\gamma$ is the coefficient of leading low temperature correction to entropy. Accounting for quantum fluctuations, the curvature computed in the canonical ensemble is positive, whereas the one in the grand canonical ensemble, continues to show a crossover from negative to positive side. Moreover, the divergence of curvature at $T=0$ is cured irrespective of the ensemble used, resulting in a universal constant.

10.60196

9.571858

9.940248

9.00017

9.632879

10.213313

10.028814

9.218781

10.040743

10.601672

9.5914

9.111351

9.207215

9.119927

9.396281

9.265654

9.11568

9.086291

9.217304

9.441074

9.863887

2106.15946

Sara Murciano

Pasquale Calabrese, J\'er\^ome Dubail and Sara Murciano

Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models

31 pages, v2: minor changes

JHEP 2021, 67 (2021)

10.1007/JHEP10(2021)067

null

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

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

We consider the problem of the decomposition of the R\'enyi entanglement entropies in theories with a non-abelian symmetry by doing a thorough analysis of Wess-Zumino-Witten (WZW) models. We first consider $SU(2)_k$ as a case study and then generalise to an arbitrary non-abelian Lie group. We find that at leading order in the subsystem size $L$ the entanglement is equally distributed among the different sectors labelled by the irreducible representation of the associated algebra. We also identify the leading term that breaks this equipartition: it does not depend on $L$ but only on the dimension of the representation. Moreover, a $\log\log L$ contribution to the R\'enyi entropies exhibits a universal form related to the underlying symmetry group of the model, i.e. the dimension of the Lie group.

[ { "created": "Wed, 30 Jun 2021 09:55:23 GMT", "version": "v1" }, { "created": "Fri, 15 Oct 2021 12:13:36 GMT", "version": "v2" } ]

2021-10-18

[ [ "Calabrese", "Pasquale", "" ], [ "Dubail", "Jérôme", "" ], [ "Murciano", "Sara", "" ] ]

We consider the problem of the decomposition of the R\'enyi entanglement entropies in theories with a non-abelian symmetry by doing a thorough analysis of Wess-Zumino-Witten (WZW) models. We first consider $SU(2)_k$ as a case study and then generalise to an arbitrary non-abelian Lie group. We find that at leading order in the subsystem size $L$ the entanglement is equally distributed among the different sectors labelled by the irreducible representation of the associated algebra. We also identify the leading term that breaks this equipartition: it does not depend on $L$ but only on the dimension of the representation. Moreover, a $\log\log L$ contribution to the R\'enyi entropies exhibits a universal form related to the underlying symmetry group of the model, i.e. the dimension of the Lie group.

6.263513

6.112877

6.661031

5.821376

6.121834

6.340988

6.387137

5.79224

6.148029

6.818966

5.908062

5.91976

6.187352

5.958982

5.942896

6.057175

6.065484

5.961246

5.751247

6.139816

5.98653

1509.02215

Marcelo B. Hott

A. E. R. Chumbes, J. M. Hoff da Silva, M. B. Hott

Refining thick brane models via electroweak data

12 pages, 1 figure

null

hep-th

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

After discussing the localization of Abelian and non-Abelian gauge fields and Higgs fields on a thick brane, we introduce a procedure of dimensional reduction and its consequences to the rescaled parameters of the boson sector of the Standard Model. The parameters encodes some power dependence on the extra dimension, usually narrow, warp factor and hence it also depend on the position related with the extra dimension inside the thick brane. In this vein, the observable parameters may be used to refine the braneworld models via the brane thickness.

[ { "created": "Mon, 7 Sep 2015 22:49:38 GMT", "version": "v1" } ]

2015-09-09

[ [ "Chumbes", "A. E. R.", "" ], [ "da Silva", "J. M. Hoff", "" ], [ "Hott", "M. B.", "" ] ]

After discussing the localization of Abelian and non-Abelian gauge fields and Higgs fields on a thick brane, we introduce a procedure of dimensional reduction and its consequences to the rescaled parameters of the boson sector of the Standard Model. The parameters encodes some power dependence on the extra dimension, usually narrow, warp factor and hence it also depend on the position related with the extra dimension inside the thick brane. In this vein, the observable parameters may be used to refine the braneworld models via the brane thickness.

20.996326

20.115183

18.17034

17.700111

18.234911

19.305557

21.128492

19.163221

18.146351

19.675959

19.272736

19.267653

18.221521

18.669001

17.433277

18.975914

19.185987

18.883755

19.231606

18.437508

19.253399

hep-th/9407119

Vincent G. J. Rodgers

V.G.J. Rodgers

A 2D Inspired 4D Theory of Gravity

8 pages, UI-94-11 (minor typos corrected in eq 11 and eq 2)

Phys.Lett. B336 (1994) 343-346

10.1016/0370-2693(94)90543-6

null

hep-th

null

Coadjoint orbits of the Virasoro and Kac-Moody algebras provide geometric actions for matter coupled to gravity and gauge fields in two dimensions. However, the Gauss' law constraints that arise from these actions are not necessarily endemic to two-dimensional topologies. Indeed the constraints associated with Yang-Mills naturally arise from the coadjoint orbit construction of the WZW model. One may in fact use a Yang-Mills theory to provide dynamics to the otherwise fixed coadjoint vectors that define the orbits. In this letter we would like to exhibit an analogue of the Yang-Mills classical action for the diffeomorphism sector. With this analogue one may postulate a 4D theory of gravitation that is related to an underlying two dimensional theory. Instead of quadratic differentials, a (1,3) pseudo tensor becomes the dynamical variable. We briefly discuss how this tensor may be classically coupled to matter.

[ { "created": "Wed, 20 Jul 1994 04:30:32 GMT", "version": "v1" }, { "created": "Fri, 22 Jul 1994 03:42:50 GMT", "version": "v2" } ]

2009-10-28

[ [ "Rodgers", "V. G. J.", "" ] ]

Coadjoint orbits of the Virasoro and Kac-Moody algebras provide geometric actions for matter coupled to gravity and gauge fields in two dimensions. However, the Gauss' law constraints that arise from these actions are not necessarily endemic to two-dimensional topologies. Indeed the constraints associated with Yang-Mills naturally arise from the coadjoint orbit construction of the WZW model. One may in fact use a Yang-Mills theory to provide dynamics to the otherwise fixed coadjoint vectors that define the orbits. In this letter we would like to exhibit an analogue of the Yang-Mills classical action for the diffeomorphism sector. With this analogue one may postulate a 4D theory of gravitation that is related to an underlying two dimensional theory. Instead of quadratic differentials, a (1,3) pseudo tensor becomes the dynamical variable. We briefly discuss how this tensor may be classically coupled to matter.

12.899549

12.762506

12.396561

12.012819

13.447997

12.814361

12.116655

11.837011

11.531347

13.442432

12.772375

11.657368

12.253901

11.430212

11.567062

11.674851

11.436282

11.777083

11.860069

12.414406

11.66506

2311.18683

Lilia Anguelova

Lilia Anguelova, Calin Iuliu Lazaroiu

Consistency Condition for Slow-roll and Rapid-turn Inflation

16 pages, contribution to the proceedings of the 15th international workshop "Lie Theory and its Applications in Physics", Varna, 2023; appendix with examples added

null

hep-th astro-ph.CO gr-qc

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

We summarize our work on a consistency condition for inflation in two-field cosmological models, in the regime of rapid turn and third-order slow roll. To ensure a sustained inflationary period of this type, one needs to satisfy a certain relation between the scalar potential and the scalar field-space metric. We explain the derivation of this condition. Furthermore, we argue that, generically, the rapid-turn phase tends to be short-lived.

[ { "created": "Thu, 30 Nov 2023 16:29:23 GMT", "version": "v1" }, { "created": "Mon, 11 Mar 2024 13:27:58 GMT", "version": "v2" } ]

2024-03-12

[ [ "Anguelova", "Lilia", "" ], [ "Lazaroiu", "Calin Iuliu", "" ] ]

We summarize our work on a consistency condition for inflation in two-field cosmological models, in the regime of rapid turn and third-order slow roll. To ensure a sustained inflationary period of this type, one needs to satisfy a certain relation between the scalar potential and the scalar field-space metric. We explain the derivation of this condition. Furthermore, we argue that, generically, the rapid-turn phase tends to be short-lived.

13.297042

13.298107

14.252711

12.36144

13.062469

12.387326

12.36981

11.1604

12.396907

14.157685

11.876467

12.412671

13.030614

12.063344

12.797016

12.631716

12.644534

12.403666

12.46103

12.848432

12.520262

1009.3854

Stuart Dowker

J.S.Dowker

Entanglement entropy for even spheres

11 pages. Minor corrections. Extended discussion of conformal anomaly on spheres including that for GJMS operators. References added

null

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

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

The coefficient of the logarithmic term in the entropy on even spheres is re-computed by the local technique of integrating the finite temperature energy density up to the horizon on static d--dimensional de Sitter space and thence finding the entropy by thermodynamics. Numeric evaluation yields the known answer i.e. (minus) the conformal anomaly on the d-sphere. The de Sitter quantities are obtained by conformal transformation of the Rindler ones, themselves obtained, for convenience, from those around a cosmic string. The expressions are given in terms of generalised Bernoulli polynomials for which an identity is derived. The arising spherical conformal anomaly is discussed and a formula is given for it for Branson's higher GJMS Laplacian, P_2k, as an oscillating polynomial in the level, k.

[ { "created": "Mon, 20 Sep 2010 15:40:22 GMT", "version": "v1" }, { "created": "Mon, 27 Sep 2010 13:01:58 GMT", "version": "v2" } ]

2010-09-29

[ [ "Dowker", "J. S.", "" ] ]

The coefficient of the logarithmic term in the entropy on even spheres is re-computed by the local technique of integrating the finite temperature energy density up to the horizon on static d--dimensional de Sitter space and thence finding the entropy by thermodynamics. Numeric evaluation yields the known answer i.e. (minus) the conformal anomaly on the d-sphere. The de Sitter quantities are obtained by conformal transformation of the Rindler ones, themselves obtained, for convenience, from those around a cosmic string. The expressions are given in terms of generalised Bernoulli polynomials for which an identity is derived. The arising spherical conformal anomaly is discussed and a formula is given for it for Branson's higher GJMS Laplacian, P_2k, as an oscillating polynomial in the level, k.

20.957767

20.295973

20.715069

19.130974

18.80007

18.572817

18.864338

18.462105

18.740456

24.13888

18.438505

19.082825

20.443762

19.52351

19.432499

18.623207

18.822435

18.608549

19.058439

20.368069

18.569798

0705.0756

Yakov Itin

Yakov Itin (Institute of Mathematics, Hebrew University of Jerusalem)

A generalized photon propagator

null

J.Phys.A40:F737-F744,2007

10.1088/1751-8113/40/30/F06

null

hep-th

null

A covariant gauge independent derivation of the generalized dispersion relation of electromagnetic waves in a medium with local and linear constitutive law is presented. A generalized photon propagator is derived. For Maxwell constitutive tensor, the standard light cone structure and the standard Feynman propagator are reinstated.

[ { "created": "Mon, 7 May 2007 19:34:42 GMT", "version": "v1" } ]

2008-11-26

[ [ "Itin", "Yakov", "", "Institute of Mathematics, Hebrew University of Jerusalem" ] ]

A covariant gauge independent derivation of the generalized dispersion relation of electromagnetic waves in a medium with local and linear constitutive law is presented. A generalized photon propagator is derived. For Maxwell constitutive tensor, the standard light cone structure and the standard Feynman propagator are reinstated.

15.758716

12.24658

11.689323

11.395261

12.641872

11.900037

13.499325

10.338542

11.728374

11.429234

12.580564

11.624436

12.288422

11.749873

12.151772

12.657897

11.649802

11.935862

12.315493

12.24159

12.080262

2108.05121

Alexey Loginov

A. Yu. Loginov

A differential relation between the energy and electric charge of a dyon

9 pages, 3 figures

Phys. Lett. B 822, 136662 (2021)

10.1016/j.physletb.2021.136662

null

hep-th

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

The differential relation between the energy and electric charge of a dyon is derived. The relation expresses the derivative of the energy with respect to the electric charge in terms of the boundary value for the temporal component of the dyon's electromagnetic potential. The use of the Hamiltonian formalism and transition to the unitary gauge make it possible to show that this derivative is proportional to the phase frequency of the electrically charged massive gauge fields forming the dyon's core. It follows from the differential relation that the energy and electric charge of the non-BPS dyon cannot be arbitrarily large. Finally, the dyon's properties are investigated numerically at different values of the model parameters.

[ { "created": "Wed, 11 Aug 2021 09:47:39 GMT", "version": "v1" } ]

2022-03-01

[ [ "Loginov", "A. Yu.", "" ] ]

The differential relation between the energy and electric charge of a dyon is derived. The relation expresses the derivative of the energy with respect to the electric charge in terms of the boundary value for the temporal component of the dyon's electromagnetic potential. The use of the Hamiltonian formalism and transition to the unitary gauge make it possible to show that this derivative is proportional to the phase frequency of the electrically charged massive gauge fields forming the dyon's core. It follows from the differential relation that the energy and electric charge of the non-BPS dyon cannot be arbitrarily large. Finally, the dyon's properties are investigated numerically at different values of the model parameters.

8.388299

8.770209

8.721166

8.323209

8.676313

8.746394

8.930898

9.220301

8.440994

9.324706

8.509299

8.348373

8.00673

8.343139

8.31705

8.382672

8.188321

8.553056

8.541226

8.159797

8.079013

1503.06139

Axel Cort\'es Cubero

Nontrivial Thermodynamics in 't Hooft's Large-$N$ Limit

Version accepted for publication in Phys. Rev. D. Improved discussion of the thermodynamic Bethe anzatz at large N, references updated. 13 pages, RevTex

Phys. Rev. D 91, 105025 (2015)

10.1103/PhysRevD.91.105025

null

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

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

We study the finite volume/temperature correlation functions of the (1+1)-dimensional ${\rm SU}(N)$ principal chiral sigma model in the planar limit. The exact S-matrix of the sigma model is known to simplify drastically at large $N$, and this leads to trivial thermodynamic Bethe ansatz (TBA) equations. The partition function, if derived using the TBA, can be shown to be that of free particles. We show that the correlation functions and expectation values of operators at finite volume/temperature are not those of the free theory, and that the TBA does not give enough information to calculate them. Our analysis is done using the Leclair-Mussardo formula for finite-volume correlators, and knowledge of the exact infinite-volume form factors. We present analytical results for the one-point function of the energy-momentum tensor, and the two-point function of the renormalized field operator. The results for the energy-momentum tensor can be used to define a nontrivial partition function.

[ { "created": "Thu, 19 Mar 2015 19:47:58 GMT", "version": "v1" }, { "created": "Mon, 11 May 2015 15:16:50 GMT", "version": "v2" } ]

2015-06-03

[ [ "Cubero", "Axel Cortés", "" ] ]

We study the finite volume/temperature correlation functions of the (1+1)-dimensional ${\rm SU}(N)$ principal chiral sigma model in the planar limit. The exact S-matrix of the sigma model is known to simplify drastically at large $N$, and this leads to trivial thermodynamic Bethe ansatz (TBA) equations. The partition function, if derived using the TBA, can be shown to be that of free particles. We show that the correlation functions and expectation values of operators at finite volume/temperature are not those of the free theory, and that the TBA does not give enough information to calculate them. Our analysis is done using the Leclair-Mussardo formula for finite-volume correlators, and knowledge of the exact infinite-volume form factors. We present analytical results for the one-point function of the energy-momentum tensor, and the two-point function of the renormalized field operator. The results for the energy-momentum tensor can be used to define a nontrivial partition function.

6.367205

6.367214

7.485593

6.090121

6.36373

6.466413

6.038502

5.883199

6.319314

7.112309

5.893058

6.211786

6.293765

6.103662

6.168926

6.398464

6.099794

6.06504

6.069369

6.339911

6.228242

hep-th/0410108

Eunsang Kim

Eunsang Kim and Hoil Kim

Noncommutative Riemann Conditions

17pages, no figures

null

hep-th

null

In this paper we study the holomorphic bundles over a noncommutative complex torus. We define a noncommutative abelian variety as a kind of deformation of abelian variety and we show that for a restricted deformation parameter, one can define a noncommutative abelian variety. Also, along the cohomological deformation, we discuss the noncommutative analogue of usual Riemann conditions. This will be done by using the real cohomologies instead of the rational ones.

[ { "created": "Mon, 11 Oct 2004 07:00:17 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kim", "Eunsang", "" ], [ "Kim", "Hoil", "" ] ]

In this paper we study the holomorphic bundles over a noncommutative complex torus. We define a noncommutative abelian variety as a kind of deformation of abelian variety and we show that for a restricted deformation parameter, one can define a noncommutative abelian variety. Also, along the cohomological deformation, we discuss the noncommutative analogue of usual Riemann conditions. This will be done by using the real cohomologies instead of the rational ones.

9.252995

9.843465

11.048618

8.988847

9.615418

9.01825

9.576613

9.000695

8.163648

11.824843

8.908386

9.023111

9.692522

9.051165

8.853877

8.881284

8.783862

8.895718

8.865438

10.079467

8.784447

hep-th/0212270

V. P. Nair

Yasuhiro Abe and V.P. Nair

Noncommutative gravity: fuzzy sphere and others

LaTeX, 13 pages, section on CP^2 added + minor changes

Phys.Rev. D68 (2003) 025002

10.1103/PhysRevD.68.025002

CCNY-HEP5/02

hep-th

null

Gravity on noncommutative analogues of compact spaces can give a finite mode truncation of ordinary commutative gravity. We obtain the actions for gravity on the noncommutative two-sphere and on the noncommutative ${\bf CP}^2$ in terms of finite dimensional $(N\times N)$-matrices. The commutative large $N$ limit is also discussed.

[ { "created": "Fri, 20 Dec 2002 21:22:48 GMT", "version": "v1" }, { "created": "Thu, 1 May 2003 20:33:50 GMT", "version": "v2" } ]

2009-11-07

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

Gravity on noncommutative analogues of compact spaces can give a finite mode truncation of ordinary commutative gravity. We obtain the actions for gravity on the noncommutative two-sphere and on the noncommutative ${\bf CP}^2$ in terms of finite dimensional $(N\times N)$-matrices. The commutative large $N$ limit is also discussed.

9.760738

8.763923

9.969037

8.172065

7.884885

8.490763

7.611042

8.042903

7.044619

10.641824

8.155298

8.485332

8.940732

8.318926

8.49879

8.608936

8.442234

8.49138

8.446627

9.347717

8.165149

1910.10640

Dan Radu Grigore

Third Order Anomalies in the Causal Approach

39 pages. arXiv admin note: substantial text overlap with arXiv:1302.1692

null

hep-th math-ph math.MP

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

We consider gauge models in the causal approach and study the third order of the perturbation theory. We are interested in the computation of the anomalies in this order of the perturbation theory and for this purpose we analyse in detail the causal splitting of the distributions with causal support relevant to tree and loop anomalies.

[ { "created": "Tue, 22 Oct 2019 07:09:43 GMT", "version": "v1" } ]

2019-10-24

[ [ "Grigore", "Dan Radu", "" ] ]

We consider gauge models in the causal approach and study the third order of the perturbation theory. We are interested in the computation of the anomalies in this order of the perturbation theory and for this purpose we analyse in detail the causal splitting of the distributions with causal support relevant to tree and loop anomalies.

19.74432

15.104523

19.16276

16.075216

15.123163

16.53801

15.567948

15.380173

17.018368

20.695387

16.470036

17.165066

17.879845

18.451544

17.406401

17.524036

16.481035

17.292133

17.367783

19.74663

16.777929

1802.06559

Thiago Rocha Araujo

Thiago Araujo

Remarks on BMS${}_3$ invariant field theories: correlation functions and nonunitary CFTs

21 pages; v2: presentation improved, typos corrected, references added

Phys. Rev. D 98, 026014 (2018)

10.1103/PhysRevD.98.026014

APCTP Pre2018-002

hep-th

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

We use the isomorphism between the BMS${}_3$ and the $W(2,2)$ algebras to reconsider some generic aspects of CFTs with the BMS${}_3$ algebra defined as a chiral symmetry. For unitarity theories, it is known that the extended symmetry generator acts trivially, and the resulting theory is equivalent to a CFT with a Virasoro symmetry only. For nonunitary CFTs, we define an operator depending on a nilpotent variable, and we organize the Verma module through the action of this new operator. Finally, we find the conditions imposed by the modified Ward identity.

[ { "created": "Mon, 19 Feb 2018 09:18:37 GMT", "version": "v1" }, { "created": "Sat, 14 Jul 2018 09:09:24 GMT", "version": "v2" } ]

2018-07-17

[ [ "Araujo", "Thiago", "" ] ]

We use the isomorphism between the BMS${}_3$ and the $W(2,2)$ algebras to reconsider some generic aspects of CFTs with the BMS${}_3$ algebra defined as a chiral symmetry. For unitarity theories, it is known that the extended symmetry generator acts trivially, and the resulting theory is equivalent to a CFT with a Virasoro symmetry only. For nonunitary CFTs, we define an operator depending on a nilpotent variable, and we organize the Verma module through the action of this new operator. Finally, we find the conditions imposed by the modified Ward identity.

10.595306

10.068246

11.4789

10.003389

9.830409

10.234376

10.882666

10.310129

9.834987

12.144151

9.741202

9.613857

10.998303

9.813625

9.918895

9.884081

10.113916

9.654914

10.071844

10.585912

9.721627

hep-th/0001169

Ergin Sezgin

P.S. Howe, A. Kaya, E. Sezgin and P. Sundell

Codimension One Branes

38 pages, latex, cover page corrected

Nucl.Phys.B587:481-513,2000

10.1016/S0550-3213(00)00294-7

null

hep-th

null

We study codimension one branes, i.e. p-branes in (p+2)-dimensions, in the superembedding approach for the cases where the worldvolume superspace is embedded in a minimal target superspace with half supersymmetry breaking. This singles out the cases p=1,2,3,5,9. For p=3,5,9 the superembedding geometry naturally involves a fundamental super 2-form potential on the worldvolume whose generalised field strength obeys a constraint deducible from considering an open supermembrane ending on the p-brane. This constraint, together with the embedding constraint, puts the system on-shell for p=5 but overconstrains the 9-brane in D=11 such that the Goldstone superfield is frozen. For p=3 these two constraints give rise to an off-shell linear multiplet on the worldvolume. An alternative formulation of this case is given in which the linear multiplet is dualised to an off-shell scalar multiplet. Actions are constructed for both cases and are shown to give equivalent equations of motion. After gauge fixing a local Sp(1) symmetry associated with shifts in the Sp(1)_R Goldstone modes, we find that the auxiliary fields in the scalar multiplet parametrise a two-sphere. For completeness we also discuss briefly the cases p=1,2 where the equations of motion (for off-shell multiplets) are obtained from an action principle.

[ { "created": "Tue, 25 Jan 2000 19:51:30 GMT", "version": "v1" }, { "created": "Wed, 26 Jan 2000 18:41:25 GMT", "version": "v2" } ]

2010-12-03

[ [ "Howe", "P. S.", "" ], [ "Kaya", "A.", "" ], [ "Sezgin", "E.", "" ], [ "Sundell", "P.", "" ] ]

We study codimension one branes, i.e. p-branes in (p+2)-dimensions, in the superembedding approach for the cases where the worldvolume superspace is embedded in a minimal target superspace with half supersymmetry breaking. This singles out the cases p=1,2,3,5,9. For p=3,5,9 the superembedding geometry naturally involves a fundamental super 2-form potential on the worldvolume whose generalised field strength obeys a constraint deducible from considering an open supermembrane ending on the p-brane. This constraint, together with the embedding constraint, puts the system on-shell for p=5 but overconstrains the 9-brane in D=11 such that the Goldstone superfield is frozen. For p=3 these two constraints give rise to an off-shell linear multiplet on the worldvolume. An alternative formulation of this case is given in which the linear multiplet is dualised to an off-shell scalar multiplet. Actions are constructed for both cases and are shown to give equivalent equations of motion. After gauge fixing a local Sp(1) symmetry associated with shifts in the Sp(1)_R Goldstone modes, we find that the auxiliary fields in the scalar multiplet parametrise a two-sphere. For completeness we also discuss briefly the cases p=1,2 where the equations of motion (for off-shell multiplets) are obtained from an action principle.

8.645219

8.697728

9.941053

8.048306

8.741698

8.538539

8.580932

8.769564

8.462785

9.906014

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8.356879

8.803199

8.422192

8.664509

8.345685

8.797085

8.23258

8.408939

8.729095

8.327884

1505.05069

Herman Verlinde

Poking Holes in AdS/CFT: Bulk Fields from Boundary States

5 pages, 3 figures. Version 2: definition of the bulk operators is modified via the inclusion of an alternating sign: it creates a cross-cap instead of a hole with reflecting boundary. Other main conclusions are unaltered

null

hep-th

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

We propose an intrinsic CFT definition of local bulk operators in AdS3/CFT2 in terms of twisted Ishibashi boundary states. The bulk field Phi(X) creates a cross cap, a circular hole with opposite edge points identified, in the CFT space-time. The size of the hole is parameterized by the holographic radial coordinate y. Our definition is state-independent, non-perturbative, and does not presume or utilize a semi-classical bulk geometry. We argue that, at large central charge, the matrix element between highly excited states satisfies the bulk wave equation in the AdS black hole background.

[ { "created": "Tue, 19 May 2015 16:25:42 GMT", "version": "v1" }, { "created": "Fri, 17 Jul 2015 17:39:23 GMT", "version": "v2" } ]

2015-07-20

[ [ "Verlinde", "Herman", "" ] ]

We propose an intrinsic CFT definition of local bulk operators in AdS3/CFT2 in terms of twisted Ishibashi boundary states. The bulk field Phi(X) creates a cross cap, a circular hole with opposite edge points identified, in the CFT space-time. The size of the hole is parameterized by the holographic radial coordinate y. Our definition is state-independent, non-perturbative, and does not presume or utilize a semi-classical bulk geometry. We argue that, at large central charge, the matrix element between highly excited states satisfies the bulk wave equation in the AdS black hole background.

11.939876

12.737586

15.230993

12.398403

13.775461

12.504973

12.145106

11.915161

11.379101

15.859983

11.621428

11.127837

13.04905

11.489672

11.202057

11.117201

11.567275

11.364295

12.02566

12.506843

11.404107

hep-th/9801008

Ram Brustein

String Cosmology: An Update

11 pages, 1 eps figure, Latex, based on talk at COSMO97

null

10.1142/9789814447263_0077

BGU-PH-98/01

hep-th astro-ph gr-qc

null

A string cosmology scenario ("pre-big-bang") postulates that the evolution of the Universe starts from a state of very small curvature and coupling, undergoes a long phase of dilaton-driven kinetic inflation and at some later time joins smoothly standard radiation dominated cosmological evolution, thus giving rise to a singularity free inflationary cosmology. I report on recent progress in understanding some outstanding issues such as initial conditions, graceful exit transition and generation of inhomogeneity perturbations.

[ { "created": "Sun, 4 Jan 1998 10:13:32 GMT", "version": "v1" } ]

2016-10-26

[ [ "Brustein", "Ram", "" ] ]

A string cosmology scenario ("pre-big-bang") postulates that the evolution of the Universe starts from a state of very small curvature and coupling, undergoes a long phase of dilaton-driven kinetic inflation and at some later time joins smoothly standard radiation dominated cosmological evolution, thus giving rise to a singularity free inflationary cosmology. I report on recent progress in understanding some outstanding issues such as initial conditions, graceful exit transition and generation of inhomogeneity perturbations.

13.301824

12.076798

11.919087

12.361186

12.446225

11.331131

11.737063

11.694441

12.310462

14.380993

11.085508

11.536211

12.42098

11.384113

12.330687

11.395127

11.321934

11.355409

11.463901

11.993416

11.17395

1012.2475

Jorge Escobedo

Jorge Escobedo, Nikolay Gromov, Amit Sever and Pedro Vieira

Tailoring Three-Point Functions and Integrability

52 pages, 6 figures. v2: Typos corrected, references added and updated

JHEP 1109:028,2011

10.1007/JHEP09(2011)028

null

hep-th

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

We use Integrability techniques to compute structure constants in N=4 SYM to leading order. Three closed spin chains, which represent the single trace gauge-invariant operators in N=4 SYM, are cut into six open chains which are then sewed back together into some nice pants, the three-point function. The algebraic and coordinate Bethe ansatz tools necessary for this task are reviewed. Finally, we discuss the classical limit of our results, anticipating some predictions for quasi-classical string correlators in terms of algebraic curves.

[ { "created": "Sat, 11 Dec 2010 18:21:21 GMT", "version": "v1" }, { "created": "Sat, 30 Apr 2011 14:24:33 GMT", "version": "v2" } ]

2011-09-12

[ [ "Escobedo", "Jorge", "" ], [ "Gromov", "Nikolay", "" ], [ "Sever", "Amit", "" ], [ "Vieira", "Pedro", "" ] ]

We use Integrability techniques to compute structure constants in N=4 SYM to leading order. Three closed spin chains, which represent the single trace gauge-invariant operators in N=4 SYM, are cut into six open chains which are then sewed back together into some nice pants, the three-point function. The algebraic and coordinate Bethe ansatz tools necessary for this task are reviewed. Finally, we discuss the classical limit of our results, anticipating some predictions for quasi-classical string correlators in terms of algebraic curves.

16.270399

15.07293

21.488743

15.526607

15.274483

15.772316

16.928839

14.924296

15.442479

20.82653

15.290457

13.878826

15.926367

14.472127

14.364726

14.561533

14.725613

13.820306

14.173011

15.716801

14.627918

2106.13268

Dieter Van den Bleeken

Emine \c{S}eyma Kutluk and Dieter Van den Bleeken

Geodesic motion on the group of boundary diffeomorphisms from Einstein's equations

28 pages, 2 figures. version submitted for publication

null

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

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

In arXiv:1904.12869 it was shown how in an adiabatic limit the vacuum Einstein equations on a compact spatial region can be re-expressed as geodesic equations on the group of diffeomorphisms of the boundary. This is reminiscent of the program initiated by V. Arnold to reformulate models of continuum mechanics in terms of geodesic motion on diffeomorphism groups. We revisit some of the results of arXiv:1904.12869 in this light, pointing out parallels and differences with the typical examples in geometric continuum mechanics. We work out the case of 2 spatial dimensions in some detail.

[ { "created": "Thu, 24 Jun 2021 18:40:22 GMT", "version": "v1" }, { "created": "Wed, 11 Aug 2021 16:09:15 GMT", "version": "v2" } ]

2021-08-12

[ [ "Kutluk", "Emine Şeyma", "" ], [ "Bleeken", "Dieter Van den", "" ] ]

In arXiv:1904.12869 it was shown how in an adiabatic limit the vacuum Einstein equations on a compact spatial region can be re-expressed as geodesic equations on the group of diffeomorphisms of the boundary. This is reminiscent of the program initiated by V. Arnold to reformulate models of continuum mechanics in terms of geodesic motion on diffeomorphism groups. We revisit some of the results of arXiv:1904.12869 in this light, pointing out parallels and differences with the typical examples in geometric continuum mechanics. We work out the case of 2 spatial dimensions in some detail.

6.867101

7.118758

7.151803

6.644137

6.556588

6.358811

6.692343

6.675793

6.733384

7.17575

6.708519

6.600459

6.639383

6.457204

6.291983

6.2966

6.399408

6.684476

6.472501

6.495949

6.448069

2406.07395

Hyun-Sik Jeong

Byoungjoon Ahn, Hyun-Sik Jeong, Keun-Young Kim, Kwan Yun

Holographic reconstruction of black hole spacetime: machine learning and entanglement entropy

44 pages, 14 figures

null

IFT-UAM/CSIC-24-88

hep-th cond-mat.dis-nn gr-qc

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

We investigate the bulk reconstruction of AdS black hole spacetime emergent from quantum entanglement within a machine learning framework. Utilizing neural ordinary differential equations alongside Monte-Carlo integration, we develop a method tailored for continuous training functions to extract the general isotropic bulk metric from entanglement entropy data. To validate our approach, we first apply our machine learning algorithm to holographic entanglement entropy data derived from the Gubser-Rocha and superconductor models, which serve as representative models of strongly coupled matters in holography. Our algorithm successfully extracts the corresponding bulk metrics from these data. Additionally, we extend our methodology to many-body systems by employing entanglement entropy data from a fermionic tight-binding chain at half filling, exemplifying critical one-dimensional systems, and derive the associated bulk metric. We find that the metrics for a tight-binding chain and the Gubser-Rocha model are similar. We speculate this similarity is due to the metallic property of these models.

[ { "created": "Tue, 11 Jun 2024 16:03:17 GMT", "version": "v1" } ]

2024-06-12

[ [ "Ahn", "Byoungjoon", "" ], [ "Jeong", "Hyun-Sik", "" ], [ "Kim", "Keun-Young", "" ], [ "Yun", "Kwan", "" ] ]

We investigate the bulk reconstruction of AdS black hole spacetime emergent from quantum entanglement within a machine learning framework. Utilizing neural ordinary differential equations alongside Monte-Carlo integration, we develop a method tailored for continuous training functions to extract the general isotropic bulk metric from entanglement entropy data. To validate our approach, we first apply our machine learning algorithm to holographic entanglement entropy data derived from the Gubser-Rocha and superconductor models, which serve as representative models of strongly coupled matters in holography. Our algorithm successfully extracts the corresponding bulk metrics from these data. Additionally, we extend our methodology to many-body systems by employing entanglement entropy data from a fermionic tight-binding chain at half filling, exemplifying critical one-dimensional systems, and derive the associated bulk metric. We find that the metrics for a tight-binding chain and the Gubser-Rocha model are similar. We speculate this similarity is due to the metallic property of these models.

11.945434

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11.992915

10.841195

11.053237

9.711307

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10.593645

10.46102

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10.368502

10.486061

10.090355

10.660278

10.251753

10.770772

10.213835

10.265767

11.3103

10.168601

hep-th/9411242

Eugene Tyurin

On Conformal Properties of the Dualized Sigma-Models

12 pages, LaTeX 2e with fleqn.sty (removed the Stony Brook emblem which was causing problems)

Phys. Lett. B348 (1995) 386

10.1016/0370-2693(95)00175-K

ITP-SB-94-58

hep-th

null

We have calculated the first-order beta-functions for a sigma-model ( with dilaton) dualized with respect to an arbitrary Lie group that acts without isotropy. We find that non-abelian duality preserves conformal invariance for semi-simple groups, but in general there is an extra contribution to the beta-function proportional to the trace of the structure constants, which cannot be absorbed into an additional dilaton shift. Two particular examples, a Bianchi V cosmological background and the G \otimes G WZW model, are discussed.

[ { "created": "Thu, 1 Dec 1994 03:36:00 GMT", "version": "v1" }, { "created": "Thu, 1 Dec 1994 23:37:00 GMT", "version": "v2" } ]

2009-10-28

[ [ "Tyurin", "Eugene", "" ] ]

We have calculated the first-order beta-functions for a sigma-model ( with dilaton) dualized with respect to an arbitrary Lie group that acts without isotropy. We find that non-abelian duality preserves conformal invariance for semi-simple groups, but in general there is an extra contribution to the beta-function proportional to the trace of the structure constants, which cannot be absorbed into an additional dilaton shift. Two particular examples, a Bianchi V cosmological background and the G \otimes G WZW model, are discussed.

12.671651

11.249062

13.449261

10.675706

11.529658

11.050307

11.12828

11.761482

10.787566

14.327444

10.961032

11.721302

12.90468

11.51668

11.1194

11.080842

11.711788

11.309021

11.521025

12.844022

11.630744

hep-th/0507035

Ulf Lindstr\"om

P.S. Howe, U. Lindstrom and V. Stojevic

Special holonomy sigma models with boundaries

20 pages. Minor errors corrected, some new results on the symmetry algebra added, and a connection for the bi-G_2 structure derived

JHEP0601:159,2006

10.1088/1126-6708/2006/01/159

KCL-TH-05-08, UUITP-10/05, HIP-2005-28/TH

hep-th

null

A study of (1,1) supersymmetric two-dimensional non-linear sigma models with boundary on special holonomy target spaces is presented. In particular, the consistency of the boundary conditions under the various symmetries is studied. Models both with and without torsion are discussed.

[ { "created": "Mon, 4 Jul 2005 17:53:11 GMT", "version": "v1" }, { "created": "Thu, 15 Dec 2005 10:32:22 GMT", "version": "v2" } ]

2009-11-11

[ [ "Howe", "P. S.", "" ], [ "Lindstrom", "U.", "" ], [ "Stojevic", "V.", "" ] ]

A study of (1,1) supersymmetric two-dimensional non-linear sigma models with boundary on special holonomy target spaces is presented. In particular, the consistency of the boundary conditions under the various symmetries is studied. Models both with and without torsion are discussed.

12.038547

7.341911

12.305391

7.86048

7.671909

7.255219

7.588189

7.405372

7.958019

14.232052

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12.414326

9.085772

8.741767

8.756647

8.973818

9.121739

8.497305

10.891551

8.509564

hep-th/0610210

Alessandro Tomasiello

Anton Kapustin and Alessandro Tomasiello

The general (2,2) gauged sigma model with three--form flux

24 pages. v2: typos fixed, other minor corrections

JHEP0711:053,2007

10.1088/1126-6708/2007/11/053

SU-ITP-06/28, CALT-68-2612

hep-th

null

We find the conditions under which a Riemannian manifold equipped with a closed three-form and a vector field define an on--shell N=(2,2) supersymmetric gauged sigma model. The conditions are that the manifold admits a twisted generalized Kaehler structure, that the vector field preserves this structure, and that a so--called generalized moment map exists for it. By a theorem in generalized complex geometry, these conditions imply that the quotient is again a twisted generalized Kaehler manifold; this is in perfect agreement with expectations from the renormalization group flow. This method can produce new N=(2,2) models with NS flux, extending the usual Kaehler quotient construction based on Kaehler gauged sigma models.

[ { "created": "Wed, 18 Oct 2006 19:55:46 GMT", "version": "v1" }, { "created": "Wed, 25 Oct 2006 19:04:52 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kapustin", "Anton", "" ], [ "Tomasiello", "Alessandro", "" ] ]

We find the conditions under which a Riemannian manifold equipped with a closed three-form and a vector field define an on--shell N=(2,2) supersymmetric gauged sigma model. The conditions are that the manifold admits a twisted generalized Kaehler structure, that the vector field preserves this structure, and that a so--called generalized moment map exists for it. By a theorem in generalized complex geometry, these conditions imply that the quotient is again a twisted generalized Kaehler manifold; this is in perfect agreement with expectations from the renormalization group flow. This method can produce new N=(2,2) models with NS flux, extending the usual Kaehler quotient construction based on Kaehler gauged sigma models.

8.291031

7.745443

10.117555

7.118442

7.940435

7.737784

7.587384

8.149137

7.587891

10.340569

7.624412

7.427733

8.513524

7.636293

7.602449

7.411897

7.493865

7.538902

7.597938

8.337141

7.302223

0806.3165

Christopher Eling

Hydrodynamics of spacetime and vacuum viscosity

24 pages, 1 figure; v2: references added, typos fixed; v3: clarified and expanded discussion in a few places, added references

JHEP0811:048,2008

10.1088/1126-6708/2008/11/048

null

hep-th gr-qc

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

It has recently been shown that the Einstein equation can be derived by demanding a non-equilibrium entropy balance law dS = dQ/T + dS_i hold for all local acceleration horizons through each point in spacetime. The entropy change dS is proportional to the change in horizon area while dQ and T are the energy flux across the horizon and Unruh temperature seen by an accelerating observer just inside the horizon. The internal entropy production term dS_i is proportional to the squared shear of the horizon and the ratio of the proportionality constant to the area entropy density is \hbar/4\pi. Here we will show that this derivation can be reformulated in the language of hydrodynamics. We postulate that the vacuum thermal state in the Rindler wedge of spacetime obeys the holographic principle. Hydrodynamic perturbations of this state exist and are manifested in the dynamics of a stretched horizon fluid at the horizon boundary. Using the equations of hydrodynamics we derive the entropy balance law and show the Einstein equation is a consequence of vacuum hydrodynamics. This result implies that \hbar/4\pi is the shear viscosity to entropy density ratio of the local vacuum thermal state. The value \hbar/4\pi has attracted much attention as the shear viscosity to entropy density ratio for all gauge theories with an Einstein gravity dual. It has also been conjectured as the universal lower bound on the ratio. We argue that our picture of the vacuum thermal state is consistent with the physics of the gauge/gravity dualities and then consider possible applications to open questions.

[ { "created": "Thu, 19 Jun 2008 10:05:00 GMT", "version": "v1" }, { "created": "Wed, 25 Jun 2008 19:52:34 GMT", "version": "v2" }, { "created": "Fri, 14 Nov 2008 10:52:16 GMT", "version": "v3" } ]

2008-12-18

[ [ "Eling", "Christopher", "" ] ]

It has recently been shown that the Einstein equation can be derived by demanding a non-equilibrium entropy balance law dS = dQ/T + dS_i hold for all local acceleration horizons through each point in spacetime. The entropy change dS is proportional to the change in horizon area while dQ and T are the energy flux across the horizon and Unruh temperature seen by an accelerating observer just inside the horizon. The internal entropy production term dS_i is proportional to the squared shear of the horizon and the ratio of the proportionality constant to the area entropy density is \hbar/4\pi. Here we will show that this derivation can be reformulated in the language of hydrodynamics. We postulate that the vacuum thermal state in the Rindler wedge of spacetime obeys the holographic principle. Hydrodynamic perturbations of this state exist and are manifested in the dynamics of a stretched horizon fluid at the horizon boundary. Using the equations of hydrodynamics we derive the entropy balance law and show the Einstein equation is a consequence of vacuum hydrodynamics. This result implies that \hbar/4\pi is the shear viscosity to entropy density ratio of the local vacuum thermal state. The value \hbar/4\pi has attracted much attention as the shear viscosity to entropy density ratio for all gauge theories with an Einstein gravity dual. It has also been conjectured as the universal lower bound on the ratio. We argue that our picture of the vacuum thermal state is consistent with the physics of the gauge/gravity dualities and then consider possible applications to open questions.

7.759292

8.757859

7.615099

7.533102

8.429898

8.477214

8.353628

7.527169

8.1749

8.135581

7.823318

7.499124

7.597085

7.474896

7.440556

7.667839

7.769386

7.526754

7.699192

8.091558

7.661192

2010.02939

Claudio Coriano

Claudio Corian\`o and Paul H. Frampton

Swampland Conjectures and Cosmological Expansion

13 pages

null

hep-th gr-qc

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

Swampland conjectures (SCs) of string theory require that a constant cosmological constant $\Lambda$ be replaced by a time-dependent scalar-field quintessence with constrained parameters. The constraints limit the duration of the present expansion era because, although the SCs may be fulfilled at the present time, they will be violated at a finite time in the future allowing only an order-one number of e-foldings. In contrast, cyclic cosmology requires $\sim94$ e-foldings of the present universe before turnaround from expansion to contraction. This presents a dilemma to the original SCs. One possibility is that one of the SCs, the range conjecture, be significantly weakened. A second possibility, difficult to believe, is that cyclic cosmology vastly overestimates the number of e-foldings. A third possibility, which is the least disfavoured, is that string theory is not the correct theory of quantum gravity.

[ { "created": "Tue, 6 Oct 2020 18:00:03 GMT", "version": "v1" }, { "created": "Thu, 3 Dec 2020 22:06:58 GMT", "version": "v2" } ]

2020-12-07

[ [ "Corianò", "Claudio", "" ], [ "Frampton", "Paul H.", "" ] ]

Swampland conjectures (SCs) of string theory require that a constant cosmological constant $\Lambda$ be replaced by a time-dependent scalar-field quintessence with constrained parameters. The constraints limit the duration of the present expansion era because, although the SCs may be fulfilled at the present time, they will be violated at a finite time in the future allowing only an order-one number of e-foldings. In contrast, cyclic cosmology requires $\sim94$ e-foldings of the present universe before turnaround from expansion to contraction. This presents a dilemma to the original SCs. One possibility is that one of the SCs, the range conjecture, be significantly weakened. A second possibility, difficult to believe, is that cyclic cosmology vastly overestimates the number of e-foldings. A third possibility, which is the least disfavoured, is that string theory is not the correct theory of quantum gravity.

10.820065

11.199351

9.394343

9.661028

11.147097

10.871186

10.367605

10.172724

9.611265

10.036897

10.033387

9.551762

9.376829

9.297521

9.18755

9.441252

9.406973

9.550875

9.50324

9.709751

9.681854

0906.1754

Dirk Kreimer

Guillaume van Baalen, Dirk Kreimer, David Uminsky, Karen Yeats

The QCD beta-function from global solutions to Dyson-Schwinger equations

34 pages, 4 figures

Annals Phys.325:300-324,2010

10.1016/j.aop.2009.10.011

null

hep-th

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

We study quantum chromodynamics from the viewpoint of untruncated Dyson-Schwinger equations turned to an ordinary differential equation for the gluon anomalous dimension. This nonlinear equation is parameterized by a function P(x) which is unknown beyond perturbation theory. Still, very mild assumptions on P(x) lead to stringent restrictions for possible solutions to Dyson-Schwinger equations. We establish that the theory must have asymptotic freedom beyond perturbation theory and also investigate the low energy regime and the possibility for a mass gap in the asymptotically free theory.

[ { "created": "Tue, 9 Jun 2009 14:57:31 GMT", "version": "v1" }, { "created": "Wed, 21 Oct 2009 22:06:25 GMT", "version": "v2" } ]

2010-01-21

[ [ "van Baalen", "Guillaume", "" ], [ "Kreimer", "Dirk", "" ], [ "Uminsky", "David", "" ], [ "Yeats", "Karen", "" ] ]

We study quantum chromodynamics from the viewpoint of untruncated Dyson-Schwinger equations turned to an ordinary differential equation for the gluon anomalous dimension. This nonlinear equation is parameterized by a function P(x) which is unknown beyond perturbation theory. Still, very mild assumptions on P(x) lead to stringent restrictions for possible solutions to Dyson-Schwinger equations. We establish that the theory must have asymptotic freedom beyond perturbation theory and also investigate the low energy regime and the possibility for a mass gap in the asymptotically free theory.

11.231305

11.452468

11.337622

10.750871

11.62273

12.729431

11.471926

10.898733

10.302059

11.279657

10.316355

10.796988

10.966482

10.542052

10.806174

10.593746

10.6872

10.341858

10.476283

10.29139

10.000639

2304.04656

Saebyeok Jeong

Saebyeok Jeong, Norton Lee, and Nikita Nekrasov

Parallel surface defects, Hecke operators, and quantum Hitchin system

89+23 pages, 3 figures; v2. typos corrected, references added

null

CERN-TH-2023-057, CGP23015

hep-th math-ph math.MP

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

We examine two types of half-BPS surface defects $-$ regular monodromy surface defect and canonical surface defect $-$ in four-dimensional gauge theory with $\mathcal{N}=2$ supersymmetry and $\Omega_{\varepsilon_1,\varepsilon_2}$-background. Mathematically, we investigate integrals over the moduli spaces of parabolic framed sheaves over $\mathbb{P}^2$. Using analytic methods of $\mathcal{N}=2$ theories, we demonstrate that the former gives a twisted $\mathcal{D}$-module on $\text{Bun}_{G_{\mathbb{C}}}$ while the latter acts as a Hecke operator. In the limit $\varepsilon_2 \to 0$, the cluster decomposition implies the Hecke eigensheaf property for the regular monodromy surface defect. The eigenvalues are given by the opers associated to the canonical surface defect. We derive, in our $\mathcal{N}=2$ gauge theoretical framework, that the twisted $\mathcal{D}$-modules assigned to the opers in the geometric Langlands correspondence represent the spectral equations for quantum Hitchin integrable system. A duality to topologically twisted four-dimensional $\mathcal{N}=4$ theory is discussed, in which the two surface defects are mapped to Dirichlet boundary and 't Hooft line defect. This is consistent with earlier works on the $\mathcal{N}=4$ theory approach to the geometric Langlands correspondence.

[ { "created": "Mon, 10 Apr 2023 15:29:47 GMT", "version": "v1" }, { "created": "Sat, 22 Apr 2023 19:19:12 GMT", "version": "v2" } ]

2023-04-25

[ [ "Jeong", "Saebyeok", "" ], [ "Lee", "Norton", "" ], [ "Nekrasov", "Nikita", "" ] ]

We examine two types of half-BPS surface defects $-$ regular monodromy surface defect and canonical surface defect $-$ in four-dimensional gauge theory with $\mathcal{N}=2$ supersymmetry and $\Omega_{\varepsilon_1,\varepsilon_2}$-background. Mathematically, we investigate integrals over the moduli spaces of parabolic framed sheaves over $\mathbb{P}^2$. Using analytic methods of $\mathcal{N}=2$ theories, we demonstrate that the former gives a twisted $\mathcal{D}$-module on $\text{Bun}_{G_{\mathbb{C}}}$ while the latter acts as a Hecke operator. In the limit $\varepsilon_2 \to 0$, the cluster decomposition implies the Hecke eigensheaf property for the regular monodromy surface defect. The eigenvalues are given by the opers associated to the canonical surface defect. We derive, in our $\mathcal{N}=2$ gauge theoretical framework, that the twisted $\mathcal{D}$-modules assigned to the opers in the geometric Langlands correspondence represent the spectral equations for quantum Hitchin integrable system. A duality to topologically twisted four-dimensional $\mathcal{N}=4$ theory is discussed, in which the two surface defects are mapped to Dirichlet boundary and 't Hooft line defect. This is consistent with earlier works on the $\mathcal{N}=4$ theory approach to the geometric Langlands correspondence.

6.345007

6.67146

7.650245

6.19668

6.479392

6.301389

6.743986

6.480309

6.436671

7.795608

6.053085

6.337752

6.860893

6.364152

6.232891

6.10895

6.196828

6.207397

6.229955

6.759271

6.221749

1102.0076

Yuji Tachikawa

On W-algebras and the symmetries of defects of 6d N=(2,0) theory

16 pages; v2: Corrections to Sec. 2, conclusions unchanged. Additional references

JHEP 1103:043,2011

10.1007/JHEP03(2011)043

IPMU-11-0014

hep-th

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

We consider 6d N=(2,0) theory on N M5-branes, together with a 4d defect labeled by a Young diagram Y specifying its global symmetry G_Y. A recent conjecture states that a compactification of this system leads to a 2d theory with W-algebra symmetry depending on Y. We provide a check of the conjecture by reproducing the level of the current subalgebra \hat{G}_Y of this W-algebra from the property of the 4d defect.

[ { "created": "Tue, 1 Feb 2011 04:52:17 GMT", "version": "v1" }, { "created": "Thu, 24 Feb 2011 04:07:41 GMT", "version": "v2" } ]

2011-03-14

[ [ "Tachikawa", "Yuji", "" ] ]

We consider 6d N=(2,0) theory on N M5-branes, together with a 4d defect labeled by a Young diagram Y specifying its global symmetry G_Y. A recent conjecture states that a compactification of this system leads to a 2d theory with W-algebra symmetry depending on Y. We provide a check of the conjecture by reproducing the level of the current subalgebra \hat{G}_Y of this W-algebra from the property of the 4d defect.

8.338483

7.484699

9.953648

6.726247

7.542081

7.577833

7.300683

7.715584

7.28138

10.420431

7.263505

7.631672

8.492635

7.279088

7.601323

7.219411

7.404901

7.45

7.394994

8.470912

7.334244

2310.05912

Chethan Krishnan

Chethan Krishnan, Vyshnav Mohan

State-independent Black Hole Interiors from the Crossed Product

v3: Discussion on status of state dependence (and firewalls) in Section 1.1. JHEP version + improved discussion in Sections 3 and 5. Results and Conclusions unchanged. v4: Removed an irrelevant extra tex file from the submission, otherwise identical to v3

null

hep-th gr-qc

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

Opinion is divided about the nature of state dependence in the black hole interior. Some argue that it is a necessary feature, while others argue it is a bug. In this paper, we consider the extended half-sided modular translation $U(s_0)$ (with $s_0 > 0$) of Leutheusser and Liu that takes us inside the horizon. We note that we can use this operator to construct a modular Hamiltonian $H$ and a conjugation $J$ on the infalling time-evolved wedges. The original thermofield double translates to a new cyclic and separating vector in the shifted algebra. We use these objects and the Connes cocycle to repeat Witten's crossed product construction in this new setting, and to obtain a Type II$_\infty$ algebra that is independent of the various choices, in particular that of the cyclic separating vector. Our emergent times are implicitly boundary-dressed. But if one admits an ``extra'' observer in the interior, we argue that the (state-independent) algebra can be Type I or Type II$_1$ instead of Type II$_\infty$, depending on whether the observer's light cone contains an entire Cauchy slice or not. Along with these general considerations, we present some specific calculations in the setting of the Poincare BTZ black hole. We identify a generalization of modular translations in BTZ-Kruskal coordinates that is pointwise (as opposed to non-local) and is analytically tractable, exploiting a connection with the covering AdS-space. These evolutions can reach the singularity.

[ { "created": "Mon, 9 Oct 2023 17:58:12 GMT", "version": "v1" }, { "created": "Thu, 2 Nov 2023 01:24:22 GMT", "version": "v2" }, { "created": "Mon, 20 May 2024 16:31:28 GMT", "version": "v3" }, { "created": "Thu, 30 May 2024 01:32:19 GMT", "version": "v4" } ]

2024-05-31

[ [ "Krishnan", "Chethan", "" ], [ "Mohan", "Vyshnav", "" ] ]

Opinion is divided about the nature of state dependence in the black hole interior. Some argue that it is a necessary feature, while others argue it is a bug. In this paper, we consider the extended half-sided modular translation $U(s_0)$ (with $s_0 > 0$) of Leutheusser and Liu that takes us inside the horizon. We note that we can use this operator to construct a modular Hamiltonian $H$ and a conjugation $J$ on the infalling time-evolved wedges. The original thermofield double translates to a new cyclic and separating vector in the shifted algebra. We use these objects and the Connes cocycle to repeat Witten's crossed product construction in this new setting, and to obtain a Type II$_\infty$ algebra that is independent of the various choices, in particular that of the cyclic separating vector. Our emergent times are implicitly boundary-dressed. But if one admits an ``extra'' observer in the interior, we argue that the (state-independent) algebra can be Type I or Type II$_1$ instead of Type II$_\infty$, depending on whether the observer's light cone contains an entire Cauchy slice or not. Along with these general considerations, we present some specific calculations in the setting of the Poincare BTZ black hole. We identify a generalization of modular translations in BTZ-Kruskal coordinates that is pointwise (as opposed to non-local) and is analytically tractable, exploiting a connection with the covering AdS-space. These evolutions can reach the singularity.

16.157576

15.77526

18.192259

16.160923

16.330091

16.804407

17.807829

16.633036

14.703423

20.525831

16.85294

14.876508

15.389042

15.363974

15.308323

15.124511

14.976297

14.819552

14.95346

15.860025

16.007158

hep-th/9803004

Avinash Dhar

Avinash Dhar and Gautam Mandal

Probing 4-Dimensional Nonsupersymmetric Black Holes Carrying D0- and D6-brane charges

26 pages, latex, no figures. A new section containing U-duality invariant formulae for entropy and mass of the general non-extremal black hole has been added and some corresponding changes made in the abstract and sections 1, 5 and 7. References added

Nucl.Phys. B531 (1998) 256-274

10.1016/S0550-3213(98)00497-0

TIFR-TH-98/05

hep-th

null

We discuss a 4-dimensional nonsupersymmetric black hole solution to low energy type IIA string theory which carries D0- and D6-brane charges. For equal charges this solution reduces to the one discussed recently by Sheinblatt. We present a new parametrization of the solution in terms of four numbers which reveals the underlying brane and antibrane structure of the black hole arbitrarily far from extremality. In this parametrization, the entropy of the general nonextremal black hole takes on a simple U-duality invariant form. A Yang-Mills solution for the brane configuration corresponding to the extremal case is constructed and a computation of the 1-loop matrix theory potential for the scattering of a 0-brane probe off this brane configuration done. We find that this agrees with the 1-loop potential obtained from a supergravity calculation in the limit in which the ratio of the 0-brane to 6-brane charges is large.

[ { "created": "Sun, 1 Mar 1998 14:32:27 GMT", "version": "v1" }, { "created": "Mon, 16 Mar 1998 10:37:38 GMT", "version": "v2" } ]

2009-10-31

[ [ "Dhar", "Avinash", "" ], [ "Mandal", "Gautam", "" ] ]

We discuss a 4-dimensional nonsupersymmetric black hole solution to low energy type IIA string theory which carries D0- and D6-brane charges. For equal charges this solution reduces to the one discussed recently by Sheinblatt. We present a new parametrization of the solution in terms of four numbers which reveals the underlying brane and antibrane structure of the black hole arbitrarily far from extremality. In this parametrization, the entropy of the general nonextremal black hole takes on a simple U-duality invariant form. A Yang-Mills solution for the brane configuration corresponding to the extremal case is constructed and a computation of the 1-loop matrix theory potential for the scattering of a 0-brane probe off this brane configuration done. We find that this agrees with the 1-loop potential obtained from a supergravity calculation in the limit in which the ratio of the 0-brane to 6-brane charges is large.

7.823149

6.901045

9.52536

7.145586

7.575673

7.231811

7.033541

7.176054

7.106468

9.920127

7.079951

7.580492

7.765719

7.51397

7.3939

7.520951

7.506951

7.513377

7.410658

8.117322

7.414645

hep-th/9705079

Guy Michaud

G. Michaud and R. C. Myers

Hermitian D-brane solutions

14 pages, Latex, no figures

Phys. Rev. D 56, 3698 (1997)

10.1103/PhysRevD.56.3698

McGill/97-08

hep-th

null

A low-energy background field solution describing D-membrane configurations is constructed which is distinguished by the appearance of a Hermitian metric on the internal space. This metric is composed of a number of independent harmonic functions on the transverse space. Thus this construction generalizes the usual harmonic superposition rule. The BPS bound of these solutions is shown to be saturated indicating that they are supersymmetric. By means of T-duality, we construct more solutions of the IIA and IIB theories.

[ { "created": "Mon, 12 May 1997 23:44:44 GMT", "version": "v1" } ]

2016-08-25

[ [ "Michaud", "G.", "" ], [ "Myers", "R. C.", "" ] ]

A low-energy background field solution describing D-membrane configurations is constructed which is distinguished by the appearance of a Hermitian metric on the internal space. This metric is composed of a number of independent harmonic functions on the transverse space. Thus this construction generalizes the usual harmonic superposition rule. The BPS bound of these solutions is shown to be saturated indicating that they are supersymmetric. By means of T-duality, we construct more solutions of the IIA and IIB theories.

12.995057

10.812019

14.393661

10.546997

10.697786

11.45675

10.63784

10.284665

9.721806

13.768178

10.750996

11.138202

13.119048

11.00789

11.001603

11.016746

10.78904

11.088731

11.038018

11.963849

10.497435

0705.4141

Brett McInnes

Initial Conditions for Bubble Universes

Further clarifications; 28 pages including three eps files. This is the final [accepted for publication] version

Phys.Rev.D77:123530,2008

10.1103/PhysRevD.77.123530

null

hep-th gr-qc

null

The "bubble universes" of Coleman and De Luccia play a crucial role in string cosmology. Since our own Universe is supposed to be of this kind, bubble cosmology should supply definite answers to the long-standing questions regarding cosmological initial conditions. In particular, it must explain how an initial singularity is avoided, and also how the initial conditions for Inflation were established. We argue that the simplest non-anthropic approach to these problems involves a requirement that the spatial sections defined by distinguished bubble observers should not be allowed to have arbitrarily small volumes. Casimir energy is a popular candidate for a quantum effect which can ensure this, but [because it violates energy conditions] there is a danger that it could lead to non-perturbative instabilities in string theory. We make a simple proposal for the initial conditions of a bubble universe, and show that our proposal ensures that the system is non-perturbatively stable. Thus, low-entropy conditions can be established at the beginning of a bubble universe without violating the Second Law of thermodynamics and without leading to instability in string theory. These conditions are inherited from the ambient spacetime.

[ { "created": "Tue, 29 May 2007 04:26:14 GMT", "version": "v1" }, { "created": "Fri, 3 Aug 2007 07:50:47 GMT", "version": "v2" }, { "created": "Thu, 29 Nov 2007 08:06:41 GMT", "version": "v3" }, { "created": "Thu, 6 Mar 2008 05:02:22 GMT", "version": "v4" }, { "created": "Sat, 17 May 2008 02:31:38 GMT", "version": "v5" } ]

2008-11-26

[ [ "McInnes", "Brett", "" ] ]

The "bubble universes" of Coleman and De Luccia play a crucial role in string cosmology. Since our own Universe is supposed to be of this kind, bubble cosmology should supply definite answers to the long-standing questions regarding cosmological initial conditions. In particular, it must explain how an initial singularity is avoided, and also how the initial conditions for Inflation were established. We argue that the simplest non-anthropic approach to these problems involves a requirement that the spatial sections defined by distinguished bubble observers should not be allowed to have arbitrarily small volumes. Casimir energy is a popular candidate for a quantum effect which can ensure this, but [because it violates energy conditions] there is a danger that it could lead to non-perturbative instabilities in string theory. We make a simple proposal for the initial conditions of a bubble universe, and show that our proposal ensures that the system is non-perturbatively stable. Thus, low-entropy conditions can be established at the beginning of a bubble universe without violating the Second Law of thermodynamics and without leading to instability in string theory. These conditions are inherited from the ambient spacetime.

11.30038

12.545724

11.15973

10.341587

12.354633

12.342798

12.408566

11.080031

11.013628

11.739943

11.028861

11.070105

11.020313

10.851039

11.165199

10.954151

11.013189

10.909362

10.817248

11.094769

10.969356

hep-th/9910173

Freydoon Mansouri

Robert L. Karp, Freydoon Mansouri, Jung S. Rno

Product Integral Formalism and Non-Abelian Stokes Theorem

Latex; condensed version of hep-th/9903221, to appear in Jour. Math. Phys

J.Math.Phys. 40 (1999) 6033-6043

10.1063/1.533068

uctp117.99

hep-th

null

We make use of the properties of product integrals to obtain a surface product integral representation for the Wilson loop operator. The result can be interpreted as the non-abelian version of Stokes' theorem.

[ { "created": "Thu, 21 Oct 1999 21:43:16 GMT", "version": "v1" } ]

2009-10-31

[ [ "Karp", "Robert L.", "" ], [ "Mansouri", "Freydoon", "" ], [ "Rno", "Jung S.", "" ] ]

We make use of the properties of product integrals to obtain a surface product integral representation for the Wilson loop operator. The result can be interpreted as the non-abelian version of Stokes' theorem.

13.369425

8.294362

9.694493

8.778693

9.760315

9.295147

9.051065

7.933362

8.159568

11.967591

8.529119

9.223524

10.038242

9.91259

10.525755

10.477818

10.554895

10.060464

10.158998

10.961411

9.416277

2312.13384

Cezar Condeescu

C. Condeescu, D. M. Ghilencea and A. Micu

Weyl quadratic gravity as a gauge theory and non-metricity vs torsion duality

13 pages

null

hep-th gr-qc hep-ph

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

We review (non-supersymmetric) gauge theories of four-dimensional space-time symmetries and their quadratic action. The only true gauge theory of such a symmetry (with a physical gauge boson) that has an exact geometric interpretation, generates Einstein gravity in its spontaneously broken phase and is anomaly-free, is that of Weyl gauge symmetry (of dilatations). Gauging the full conformal group does not generate a true gauge theory of physical (dynamical) associated gauge bosons. Regarding the Weyl gauge symmetry, it is naturally realised in Weyl conformal geometry, where it admits two different but equivalent geometric formulations, of same quadratic action: one non-metric but torsion-free, the other Weyl gauge-covariant and metric (with respect to a new differential operator). To clarify the origin of this intriguing result, a third equivalent formulation of this gauge symmetry is constructed using the standard, modern approach on the tangent space (uplifted to space-time by the vielbein), which is metric but has vectorial torsion. This shows an interesting duality vectorial non-metricity vs vectorial torsion of the corresponding formulations, related by a projective transformation. We comment on the physical meaning of these results.

[ { "created": "Wed, 20 Dec 2023 19:17:26 GMT", "version": "v1" }, { "created": "Fri, 19 Jan 2024 10:56:55 GMT", "version": "v2" }, { "created": "Fri, 16 Feb 2024 13:09:21 GMT", "version": "v3" }, { "created": "Tue, 13 Aug 2024 19:46:32 GMT", "version": "v4" } ]

2024-08-15

[ [ "Condeescu", "C.", "" ], [ "Ghilencea", "D. M.", "" ], [ "Micu", "A.", "" ] ]

We review (non-supersymmetric) gauge theories of four-dimensional space-time symmetries and their quadratic action. The only true gauge theory of such a symmetry (with a physical gauge boson) that has an exact geometric interpretation, generates Einstein gravity in its spontaneously broken phase and is anomaly-free, is that of Weyl gauge symmetry (of dilatations). Gauging the full conformal group does not generate a true gauge theory of physical (dynamical) associated gauge bosons. Regarding the Weyl gauge symmetry, it is naturally realised in Weyl conformal geometry, where it admits two different but equivalent geometric formulations, of same quadratic action: one non-metric but torsion-free, the other Weyl gauge-covariant and metric (with respect to a new differential operator). To clarify the origin of this intriguing result, a third equivalent formulation of this gauge symmetry is constructed using the standard, modern approach on the tangent space (uplifted to space-time by the vielbein), which is metric but has vectorial torsion. This shows an interesting duality vectorial non-metricity vs vectorial torsion of the corresponding formulations, related by a projective transformation. We comment on the physical meaning of these results.

14.010883

15.413402

15.289254

13.688926

15.798849

14.402623

15.758681

14.057601

15.094669

15.535812

13.939148

13.940198

14.19217

13.270983

13.776593

14.031348

13.742742

13.623346

13.388714

14.137565

13.756651

hep-th/9812145

Francesco Fucito

D. Bellisai, F. Fucito, A. Tanzini, G. Travaglini

Non-Perturbative Results in Global SUSY and Topological Field Theories

5 pages,talk delivered at ichep98

null

hep-th

null

In this lecture we review some non-perturbative results obtained in globally supersymmetric theories and show how they can be obtained in the framework of topological theories.

[ { "created": "Thu, 17 Dec 1998 11:59:21 GMT", "version": "v1" } ]

2019-08-17

[ [ "Bellisai", "D.", "" ], [ "Fucito", "F.", "" ], [ "Tanzini", "A.", "" ], [ "Travaglini", "G.", "" ] ]

In this lecture we review some non-perturbative results obtained in globally supersymmetric theories and show how they can be obtained in the framework of topological theories.

10.669708

7.29333

8.311597

7.066379

6.729629

7.57583

6.316453

7.665111

6.511518

7.803621

6.892443

7.302795

8.288141

7.210345

7.454907

6.972354

6.899247

7.179726

7.39986

8.073069

7.158957

1507.00343

Tom Pugh

Thomas W. Grimm, Tom G. Pugh, Matthias Weissenbacher

The effective action of warped M-theory reductions with higher-derivative terms - Part II

26 pages

null

10.1007/JHEP12(2015)117

MPP-2015-149

hep-th

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

We study the three-dimensional effective action obtained by reducing eleven-dimensional supergravity with higher-derivative terms on a background solution including a warp-factor, an eight-dimensional compact manifold, and fluxes. The dynamical fields are K\"ahler deformations and vectors from the M-theory three-form. We show that the potential is only induced by fluxes and the naive contributions obtained from higher-curvature terms on a Calabi-Yau background vanish once the back-reaction to the full solution is taken into account. For the resulting three-dimensional action we analyse the K\"ahler potential and complex coordinates and show compatibility with N=2 supersymmetry. We argue that the higher-order result is also compatible with a no-scale condition. We find that the complex coordinates should be formulated as divisor integrals for which a non-trivial interplay between the warp-factor terms and the higher-curvature terms allow a derivation of the moduli space metric. This leads us to discuss higher-derivative corrections to the M5-brane action.

[ { "created": "Wed, 1 Jul 2015 20:00:34 GMT", "version": "v1" } ]

2016-01-27

[ [ "Grimm", "Thomas W.", "" ], [ "Pugh", "Tom G.", "" ], [ "Weissenbacher", "Matthias", "" ] ]

We study the three-dimensional effective action obtained by reducing eleven-dimensional supergravity with higher-derivative terms on a background solution including a warp-factor, an eight-dimensional compact manifold, and fluxes. The dynamical fields are K\"ahler deformations and vectors from the M-theory three-form. We show that the potential is only induced by fluxes and the naive contributions obtained from higher-curvature terms on a Calabi-Yau background vanish once the back-reaction to the full solution is taken into account. For the resulting three-dimensional action we analyse the K\"ahler potential and complex coordinates and show compatibility with N=2 supersymmetry. We argue that the higher-order result is also compatible with a no-scale condition. We find that the complex coordinates should be formulated as divisor integrals for which a non-trivial interplay between the warp-factor terms and the higher-curvature terms allow a derivation of the moduli space metric. This leads us to discuss higher-derivative corrections to the M5-brane action.

11.887118

11.746769

12.996854

11.200361

12.129147

12.661449

11.59714

12.062214

11.346876

14.333628

11.542781

11.534388

12.532916

11.465495

11.81119

11.632732

12.0995

11.731368

11.681837

12.39178

11.393691

1406.5613

Andrei Smilga

A.V. Smilga

Spontaneous generation of the Newton constant in the renormalizable gravity theory

5 pages, no figures. I have retyped my old preprint published in the Proceedings of the conference on Group Theoretical Methods in Physics (Zvenigorod, 1982). I suggested there an idea that the fundamental theory of gravity interactions might be asymptotically free conformal supergravity, with Einstein's action being generated as an effective low-energy theory by the dimensional transmutation mechanism. While retyping, I've only corrected most flagrant English mistakes and inserted few commas

null

ITEP-63-1982

hep-th

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

The conformal supergravity is suggested as a realistic theory for gravity interactions. It displays the spontaneous breaking of the conformal symmetry which results in appearance of the term proportional to the scalar curvature R in the effective potential with respect to small metric fluctuations.

[ { "created": "Sat, 21 Jun 2014 14:08:06 GMT", "version": "v1" } ]

2014-08-10

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

The conformal supergravity is suggested as a realistic theory for gravity interactions. It displays the spontaneous breaking of the conformal symmetry which results in appearance of the term proportional to the scalar curvature R in the effective potential with respect to small metric fluctuations.

17.686409

17.121168

15.573595

15.95537

16.730671

17.906439

16.264851

18.405273

16.776958

15.883956

15.249096

15.642024

15.988046

15.02184

15.790033

15.57925

15.385099

16.698229

15.825139

14.767828

15.004533

1311.2898

Astrid Eichhorn

Pietro Don\`a, Astrid Eichhorn and Roberto Percacci

Matter matters in asymptotically safe quantum gravity

26 pages, 14 figures

Phys.Rev.D 89 (2014) 8, 084035

10.1103/PhysRevD.89.084035

null

hep-th gr-qc hep-ph

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

We investigate the compatibility of minimally coupled scalar, fermion and gauge fields with asymptotically safe quantum gravity, using nonperturbative functional Renormalization Group methods. We study d=4,5 and 6 dimensions and within certain approximations find that for a given number of gauge fields there is a maximal number of scalar and fermion degrees of freedom compatible with an interacting fixed point at positive Newton coupling. The bounds impose severe constraints on grand unification with fundamental Higgs scalars. Supersymmetry and universal extra dimensions are also generally disfavored. The standard model and its extensions accommodating right-handed neutrinos, the axion and dark-matter models with a single scalar are compatible with a fixed point.

[ { "created": "Tue, 12 Nov 2013 19:55:33 GMT", "version": "v1" }, { "created": "Mon, 2 Dec 2013 19:04:09 GMT", "version": "v2" }, { "created": "Sat, 15 Feb 2014 00:30:26 GMT", "version": "v3" } ]

2024-02-27

[ [ "Donà", "Pietro", "" ], [ "Eichhorn", "Astrid", "" ], [ "Percacci", "Roberto", "" ] ]

We investigate the compatibility of minimally coupled scalar, fermion and gauge fields with asymptotically safe quantum gravity, using nonperturbative functional Renormalization Group methods. We study d=4,5 and 6 dimensions and within certain approximations find that for a given number of gauge fields there is a maximal number of scalar and fermion degrees of freedom compatible with an interacting fixed point at positive Newton coupling. The bounds impose severe constraints on grand unification with fundamental Higgs scalars. Supersymmetry and universal extra dimensions are also generally disfavored. The standard model and its extensions accommodating right-handed neutrinos, the axion and dark-matter models with a single scalar are compatible with a fixed point.

8.723698

9.852932

8.949707

8.469644

8.644812

9.069611

9.146567

8.647156

8.491288

8.99952

8.239863

8.331327

8.174421

7.979464

8.206308

8.195702

8.223666

8.0198

8.275148

8.338486

8.236299

1112.6410

Alexey Koshelev

Alexey S. Koshelev

Modified non-local gravity

To be published in the proceedings of BW2011 workshop; v2: references added

null

hep-th astro-ph.CO gr-qc

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

In this note I provide an extended version of the talk given at BW2011 workshop. The concise introduction to the non-local SFT motivated models is given with an emphasis on the non-local generalization of gravity. A number of open questions and future directions in the development of such models is outlined.

[ { "created": "Thu, 29 Dec 2011 20:34:48 GMT", "version": "v1" }, { "created": "Wed, 8 Feb 2012 23:09:59 GMT", "version": "v2" } ]

2012-02-10

[ [ "Koshelev", "Alexey S.", "" ] ]

In this note I provide an extended version of the talk given at BW2011 workshop. The concise introduction to the non-local SFT motivated models is given with an emphasis on the non-local generalization of gravity. A number of open questions and future directions in the development of such models is outlined.

17.547304

13.305214

13.084269

12.417588

13.418866

12.128211

13.798276

12.851661

11.98247

13.413483

13.746251

12.252446

13.043271

13.041619

13.276252

12.906282

12.157834

12.579096

13.033003

12.610448

12.969502

hep-th/0407236

Jose Barbon

J.L.F. Barbon and E. Rabinovici

Touring the Hagedorn Ridge

29 pages, 18 figures, contribution to I.I. Kogan memorial volume, references added

null

10.1142/9789812775344_0048

CERN-PH-TH/2004-141

hep-th

null

We review aspects of the Hagedorn regime in critical string theories, from basic facts about the ideal gas approximation to the proposal of a global picture inspired by general ideas of holography. It was suggested that the condensation of thermal winding modes triggers a first-order phase transition. We propose, by an Euclidean analogue of the string/black hole correspondence principle, that the transition is actually related to a topology change in spacetime. Similar phase transitions induced by unstable winding modes can be studied in toy models. There, using T-duality of supersymmetric cycles, one can identify a topology change of the Gregory--Laflamme type, which we associate with large-N phase transitions of Yang--Mills theories on tori. This essay is dedicated to the memory of Ian Kogan.

[ { "created": "Tue, 27 Jul 2004 15:32:01 GMT", "version": "v1" }, { "created": "Thu, 30 Sep 2004 16:32:12 GMT", "version": "v2" } ]

2016-11-23

[ [ "Barbon", "J. L. F.", "" ], [ "Rabinovici", "E.", "" ] ]

We review aspects of the Hagedorn regime in critical string theories, from basic facts about the ideal gas approximation to the proposal of a global picture inspired by general ideas of holography. It was suggested that the condensation of thermal winding modes triggers a first-order phase transition. We propose, by an Euclidean analogue of the string/black hole correspondence principle, that the transition is actually related to a topology change in spacetime. Similar phase transitions induced by unstable winding modes can be studied in toy models. There, using T-duality of supersymmetric cycles, one can identify a topology change of the Gregory--Laflamme type, which we associate with large-N phase transitions of Yang--Mills theories on tori. This essay is dedicated to the memory of Ian Kogan.

14.346566

13.449001

15.603663

14.078553

14.510647

14.007831

14.079705

13.638608

13.266879

18.251204

14.042145

14.119792

14.660465

13.641905

13.556134

14.006779

13.567129

13.730732

13.579915

14.813615

13.902466

1607.01767

Partouche Herve

Costas Kounnas and Herve Partouche

Super no-scale models in string theory

1+46 pages, 1 figure

null

10.1016/j.nuclphysb.2016.10.001

LPTENS-16/04, CPHT-RR033.062016

hep-th gr-qc hep-ph

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

We consider "super no-scale models" in the framework of the heterotic string, where the N=4,2,1 --> 0 spontaneous breaking of supersymmetry is induced by geometrical fluxes realizing a stringy Scherk-Schwarz perturbative mechanism. Classically, these backgrounds are characterized by a boson/fermion degeneracy at the massless level, even if supersymmetry is broken. At the 1-loop level, the vacuum energy is exponentially suppressed, provided the supersymmetry breaking scale is small, m_{3/2} << M_{string}. We show that the "super no-scale string models" under consideration are free of Hagedorn-like tachyonic singularities, even when the supersymmetry breaking scale is large, m_{3/2} ~ M_{string}. The vacuum energy decreases monotonically and converges exponentially to zero, when m_{3/2} varies from M_{string} to 0. We also show that all Wilson lines associated to asymptotically free gauge symmetries are dynamically stabilized by the 1-loop effective potential, while those corresponding to non-asymtotically free gauge groups lead to instabilities and condense. The Wilson lines of the conformal gauge symmetries remain massless. When stable, the stringy super no-scale models admit low energy effective actions, where decoupling gravity yields theories in flat spacetime, with softly broken supersymmetry.

[ { "created": "Wed, 6 Jul 2016 19:55:52 GMT", "version": "v1" }, { "created": "Thu, 13 Oct 2016 14:39:51 GMT", "version": "v2" } ]

2016-12-21

[ [ "Kounnas", "Costas", "" ], [ "Partouche", "Herve", "" ] ]

We consider "super no-scale models" in the framework of the heterotic string, where the N=4,2,1 --> 0 spontaneous breaking of supersymmetry is induced by geometrical fluxes realizing a stringy Scherk-Schwarz perturbative mechanism. Classically, these backgrounds are characterized by a boson/fermion degeneracy at the massless level, even if supersymmetry is broken. At the 1-loop level, the vacuum energy is exponentially suppressed, provided the supersymmetry breaking scale is small, m_{3/2} << M_{string}. We show that the "super no-scale string models" under consideration are free of Hagedorn-like tachyonic singularities, even when the supersymmetry breaking scale is large, m_{3/2} ~ M_{string}. The vacuum energy decreases monotonically and converges exponentially to zero, when m_{3/2} varies from M_{string} to 0. We also show that all Wilson lines associated to asymptotically free gauge symmetries are dynamically stabilized by the 1-loop effective potential, while those corresponding to non-asymtotically free gauge groups lead to instabilities and condense. The Wilson lines of the conformal gauge symmetries remain massless. When stable, the stringy super no-scale models admit low energy effective actions, where decoupling gravity yields theories in flat spacetime, with softly broken supersymmetry.

7.302705

6.788754

8.267637

7.1044

7.357316

7.498275

7.153203

7.768158

7.275826

8.718451

7.021312

6.890681

7.42239

6.954123

7.033844

6.952434

7.062314

6.993897

6.923316

7.391616

7.04514

1111.2823

Eugenio Megias

Karl Landsteiner, Eugenio Megias, Luis Melgar, Francisco Pena-Benitez

Gravitational Anomaly and Hydrodynamics

11 pages, 2 figures, 1 table; based on a talk at Seventh International Conference Quantum Theory and Symmetries (QTS-7), Prague, Czech Republic, August 7-13, 2011; v2 expanded discussion in Sections 3 and 4, added fig. 2 and references

null

10.1088/1742-6596/343/1/012073

IFT-UAM/CSIC-11-75; UAB-FT-698

hep-th hep-ph

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

We study the anomalous induced current of a vortex in a relativistic fluid via the chiral vortical effect, which is analogous to the anomalous current induced by a magnetic field via the chiral magnetic effect. We perform this analysis at weak and strong coupling. We discuss inequivalent implementations to the chemical potential for an anomalous symmetry. At strong coupling we use a holographic model with a pure gauge and mixed gauge-gravitational Chern-Simons term in the action. We discuss the holographic renormalization and show that the Chern-Simons terms do not induce new divergences. Strong and weak coupling results agree precisely. We also point out that the holographic calculation can be done without a singular gauge field configuration on the horizon of the black hole.

[ { "created": "Fri, 11 Nov 2011 19:12:18 GMT", "version": "v1" }, { "created": "Fri, 18 Nov 2011 18:42:43 GMT", "version": "v2" } ]

2015-06-03

[ [ "Landsteiner", "Karl", "" ], [ "Megias", "Eugenio", "" ], [ "Melgar", "Luis", "" ], [ "Pena-Benitez", "Francisco", "" ] ]

We study the anomalous induced current of a vortex in a relativistic fluid via the chiral vortical effect, which is analogous to the anomalous current induced by a magnetic field via the chiral magnetic effect. We perform this analysis at weak and strong coupling. We discuss inequivalent implementations to the chemical potential for an anomalous symmetry. At strong coupling we use a holographic model with a pure gauge and mixed gauge-gravitational Chern-Simons term in the action. We discuss the holographic renormalization and show that the Chern-Simons terms do not induce new divergences. Strong and weak coupling results agree precisely. We also point out that the holographic calculation can be done without a singular gauge field configuration on the horizon of the black hole.

7.753633

6.994317

8.576637

6.995146

7.369368

7.08389

7.73199

7.113979

7.329254

8.444891

6.935884

7.352577

8.012476

7.552436

7.717301

7.474565

7.392394

7.497732

7.642691

8.12539

7.222071

2208.00832

Yilber Fabian Bautista

Scattering Amplitude Techniques in Classical Gauge Theories and Gravity

PhD Thesis

null

hep-th gr-qc

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

In this thesis we present a study of the computation of classical observables in gauge theories and gravity directly from scattering amplitudes. In particular, we discuss the direct application of modern amplitude techniques in the one, and two-body problems for both, scattering and bounded scenarios, and in both, classical electrodynamics and gravity, with particular emphasis on spin effects in general, and in four spacetime dimensions. Among these observables we have the conservative linear impulse and the radiated waveform in the two-body problem, and the differential cross section for the scattering of waves off classical spinning compact objects. Implications of classical soft theorems in the computation of classical radiation are also discussed. Furthermore, formal aspects of the double copy for massive spinning matter, and its application in a classical two-body context are considered. Finally, the relation between the minimal coupling gravitational Compton amplitude and the scattering of gravitational waves off the Kerr black hole is presented.

[ { "created": "Mon, 1 Aug 2022 13:19:34 GMT", "version": "v1" } ]

2022-08-02

[ [ "Bautista", "Yilber Fabian", "" ] ]

In this thesis we present a study of the computation of classical observables in gauge theories and gravity directly from scattering amplitudes. In particular, we discuss the direct application of modern amplitude techniques in the one, and two-body problems for both, scattering and bounded scenarios, and in both, classical electrodynamics and gravity, with particular emphasis on spin effects in general, and in four spacetime dimensions. Among these observables we have the conservative linear impulse and the radiated waveform in the two-body problem, and the differential cross section for the scattering of waves off classical spinning compact objects. Implications of classical soft theorems in the computation of classical radiation are also discussed. Furthermore, formal aspects of the double copy for massive spinning matter, and its application in a classical two-body context are considered. Finally, the relation between the minimal coupling gravitational Compton amplitude and the scattering of gravitational waves off the Kerr black hole is presented.

12.678482

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11.302844

11.816975

11.587317

11.372061

12.038084

11.786694

1212.1959

Jia-ju Zhang

Bin Chen and Jia-ju Zhang

RN/CFT Correspondence From Thermodynamics

32 pages, references added, published version

JHEP 1301 (2013) 155

10.1007/JHEP01(2013)155

null

hep-th gr-qc

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

Recent studies suggest that in the Kerr/CFT correspondence, much universal information of the dual CFT, including the central charges and the temperatures, is fully encoded in the thermodynamics of the outer and inner horizons of the Kerr(-Newman) black holes. In this paper, we study holographic descriptions of Reissner-Nordstr\"om (RN) black holes in arbitrary dimensions by using the thermodynamics method.We refine the thermodynamics method proposed in arXiv:1206.2015 by imposing the "quantization" condition so that we can fix the ambiguity in determining the central charges of the dual CFT of RN black holes. Using the refined thermodynamics method, we find the holographic CFT duals for the RN black holes, and confirm these pictures by using conventional analysis of asymptotic symmetry group and the hidden conformal symmetry in the low-frequency scattering. In particular, we revisit the four-dimensional dyonic RN black hole and find a novel magnetic picture, besides the known electric CFT dual picture. We show how to generate a class of dual dyonic pictures by $SL(2,Z)$ transformations.

[ { "created": "Mon, 10 Dec 2012 03:19:43 GMT", "version": "v1" }, { "created": "Sun, 27 Jan 2013 07:26:28 GMT", "version": "v2" } ]

2013-04-10

[ [ "Chen", "Bin", "" ], [ "Zhang", "Jia-ju", "" ] ]

Recent studies suggest that in the Kerr/CFT correspondence, much universal information of the dual CFT, including the central charges and the temperatures, is fully encoded in the thermodynamics of the outer and inner horizons of the Kerr(-Newman) black holes. In this paper, we study holographic descriptions of Reissner-Nordstr\"om (RN) black holes in arbitrary dimensions by using the thermodynamics method.We refine the thermodynamics method proposed in arXiv:1206.2015 by imposing the "quantization" condition so that we can fix the ambiguity in determining the central charges of the dual CFT of RN black holes. Using the refined thermodynamics method, we find the holographic CFT duals for the RN black holes, and confirm these pictures by using conventional analysis of asymptotic symmetry group and the hidden conformal symmetry in the low-frequency scattering. In particular, we revisit the four-dimensional dyonic RN black hole and find a novel magnetic picture, besides the known electric CFT dual picture. We show how to generate a class of dual dyonic pictures by $SL(2,Z)$ transformations.

8.782971

7.42684

9.271551

8.123463

8.471669

7.994084

8.602277

7.710238

8.066148

9.581026

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8.174801

8.835251

8.400048

8.228179

8.362691

8.487241

8.103342

8.038892

8.961414

8.257565

hep-th/9808053

Olaf Lechtenfeld

Chandrashekar Devchand and Olaf Lechtenfeld

String-induced Yang-Mills coupling to self-dual gravity

20 pages, no figures

Nucl.Phys. B539 (1999) 309-328

10.1016/S0550-3213(98)00732-9

ITP-UH-15/98

hep-th

null

By considering N=2 string amplitudes we determine the (2+2)-dimensional target space action for the physical degrees of freedom: self-dual gravity and self-dual Yang-Mills, together with their respective infinite towers of higher-spin inequivalent picture states. Novel `stringy' couplings amongst these fields are essential ingredients of an action principle for the effective target space field theory. We discuss the covariant description of this theory in terms of self-dual fields on a hyperspace parametrised by the target space coordinate and a commuting chiral spinor.

[ { "created": "Mon, 10 Aug 1998 12:39:51 GMT", "version": "v1" } ]

2009-10-31

[ [ "Devchand", "Chandrashekar", "" ], [ "Lechtenfeld", "Olaf", "" ] ]

By considering N=2 string amplitudes we determine the (2+2)-dimensional target space action for the physical degrees of freedom: self-dual gravity and self-dual Yang-Mills, together with their respective infinite towers of higher-spin inequivalent picture states. Novel `stringy' couplings amongst these fields are essential ingredients of an action principle for the effective target space field theory. We discuss the covariant description of this theory in terms of self-dual fields on a hyperspace parametrised by the target space coordinate and a commuting chiral spinor.

13.904296

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