LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2303.08852

Gwena\"el Ferrando

Gwena\"el Ferrando, Amit Sever, Adar Sharon, and Elior Urisman

A Large Twist Limit for Any Operator

54 pages, 16 figures

null

10.1007/JHEP06(2023)028

null

hep-th

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

We argue that for any single-trace operator in ${\cal N}=4$ SYM theory there is a large twist double-scaling limit in which the Feynman graphs have an iterative structure. Such structure can be recast using a graph-building operator. Generically, this operator mixes between single-trace operators with different scaling limits. The mixing captures both the finite coupling spectrum and corrections away from the large twist limit. We first consider a class of short operators with gluons and fermions for which such mixing problems do not arise, and derive their finite coupling spectra. We then focus on a class of long operators with gluons that do mix. We invert their graph-building operator and prove its integrability. The picture that emerges from this work opens the door to a systematic expansion of ${\cal N}=4$ SYM theory around the large twist limit.

[ { "created": "Wed, 15 Mar 2023 18:12:12 GMT", "version": "v1" } ]

2023-06-21

[ [ "Ferrando", "Gwenaël", "" ], [ "Sever", "Amit", "" ], [ "Sharon", "Adar", "" ], [ "Urisman", "Elior", "" ] ]

We argue that for any single-trace operator in ${\cal N}=4$ SYM theory there is a large twist double-scaling limit in which the Feynman graphs have an iterative structure. Such structure can be recast using a graph-building operator. Generically, this operator mixes between single-trace operators with different scaling limits. The mixing captures both the finite coupling spectrum and corrections away from the large twist limit. We first consider a class of short operators with gluons and fermions for which such mixing problems do not arise, and derive their finite coupling spectra. We then focus on a class of long operators with gluons that do mix. We invert their graph-building operator and prove its integrability. The picture that emerges from this work opens the door to a systematic expansion of ${\cal N}=4$ SYM theory around the large twist limit.

11.968336

11.553871

12.353712

10.51604

11.430482

10.845383

11.294312

11.25898

10.842655

14.257004

10.626456

11.281899

11.511405

11.114015

11.11472

11.203069

11.365732

10.964332

11.28105

11.275129

10.981891

1406.1525

Laura Mersini-Houghton

Backreaction of Hawking Radiation on a Gravitationally Collapsing Star I: Black Holes?

8 pgs

PLB30496 Phys Lett B, 16 September 2014

10.1016/j.physletb.2014.09.018

null

hep-th gr-qc hep-ph

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

Particle creation leading to Hawking radiation is produced by the changing gravitational field of the collapsing star. The two main initial conditions in the far past placed on the quantum field from which particles arise, are the Hartle Hawking vacuum and the Unruh vacuum. The former leads to a time symmetric thermal bath of radiation, while the latter to a flux of radiation coming out of the collapsing star. The energy of Hawking radiation in the interior of the collapsing star is negative and equal in magnitude to its value at future infinity. This work investigates the backreaction of Hawking radiation on the interior of a gravitationally collapsing star, in a Hartle-Hawking initial vacuum. It shows that due to the negative energy Hawking radiation in the interior, the collapse of the star stops at a finite radius, before the singularity and the event horizon of a black hole have a chance to form. That is, the star bounces instead of collapsing to a black hole. A trapped surface near the last stage of the star's collapse to its minimum size may still exist temporarily. Its formation depends on the details of collapse. Results for the case of Hawking flux of radiation with the Unruh initial state, will be given in a companion paper II.

[ { "created": "Thu, 5 Jun 2014 21:11:44 GMT", "version": "v1" } ]

2014-09-22

[ [ "Mersini-Houghton", "Laura", "" ] ]

Particle creation leading to Hawking radiation is produced by the changing gravitational field of the collapsing star. The two main initial conditions in the far past placed on the quantum field from which particles arise, are the Hartle Hawking vacuum and the Unruh vacuum. The former leads to a time symmetric thermal bath of radiation, while the latter to a flux of radiation coming out of the collapsing star. The energy of Hawking radiation in the interior of the collapsing star is negative and equal in magnitude to its value at future infinity. This work investigates the backreaction of Hawking radiation on the interior of a gravitationally collapsing star, in a Hartle-Hawking initial vacuum. It shows that due to the negative energy Hawking radiation in the interior, the collapse of the star stops at a finite radius, before the singularity and the event horizon of a black hole have a chance to form. That is, the star bounces instead of collapsing to a black hole. A trapped surface near the last stage of the star's collapse to its minimum size may still exist temporarily. Its formation depends on the details of collapse. Results for the case of Hawking flux of radiation with the Unruh initial state, will be given in a companion paper II.

7.874486

8.382986

7.918286

7.660423

7.811886

8.230202

8.163049

8.296416

8.198395

9.109479

7.796824

7.857034

7.439223

7.72668

7.719296

7.783564

7.782347

7.734576

7.893923

7.772497

7.894987

hep-th/0001117

Sergey Afanas'ev

S. B. Afanas'ev

Quantization of the space-time based on a formless finite fundamental element

LaTex

null

hep-th

null

The concept of the space (space-time) of the formless finite fundamental elements (FFFE) is suggested. This space can be defined as a set of coverings of the continual space by non-overlapping simply connected regions of any form and arbitrary sizes with some probability measure. The average sizes of each fundamental element are equal to the fundamental length. This definition enables to describe correctly the passage from the space of the formless finite fundamental elements to the continual space in the limit of zero value of the fundamental length. FFFE space-time functional integral construction is suggested. A wave function of a separate FFFE and the overall wave function of a manifold are introduced. It is shown that many other constructions of the discrete space-time (the Regge coverings, the lattice space-time etc.) are the special cases of this space-time. A vacuum action problem is analyzed. One term of this action is proportional to the volume of a fundamental element. It is possible to direct the way for this term to yield the Nambu-Goto action in consideration the string as one-dimensional excitation of a number of FFFEs. Fermionic and bosonic fields in the space-time of FFFEs are excited states of elements. Space-time supersymmetry leads to supposition that the maximal possible number of fermionic excitations at one FFFE is equal to the number of elements in all space-time. The compactification in this space-time means the condition of the neighbour elements absence in compactificated dimensions.

[ { "created": "Wed, 19 Jan 2000 16:16:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Afanas'ev", "S. B.", "" ] ]

The concept of the space (space-time) of the formless finite fundamental elements (FFFE) is suggested. This space can be defined as a set of coverings of the continual space by non-overlapping simply connected regions of any form and arbitrary sizes with some probability measure. The average sizes of each fundamental element are equal to the fundamental length. This definition enables to describe correctly the passage from the space of the formless finite fundamental elements to the continual space in the limit of zero value of the fundamental length. FFFE space-time functional integral construction is suggested. A wave function of a separate FFFE and the overall wave function of a manifold are introduced. It is shown that many other constructions of the discrete space-time (the Regge coverings, the lattice space-time etc.) are the special cases of this space-time. A vacuum action problem is analyzed. One term of this action is proportional to the volume of a fundamental element. It is possible to direct the way for this term to yield the Nambu-Goto action in consideration the string as one-dimensional excitation of a number of FFFEs. Fermionic and bosonic fields in the space-time of FFFEs are excited states of elements. Space-time supersymmetry leads to supposition that the maximal possible number of fermionic excitations at one FFFE is equal to the number of elements in all space-time. The compactification in this space-time means the condition of the neighbour elements absence in compactificated dimensions.

13.98684

15.79959

14.129663

13.410432

15.335633

14.574965

16.34141

14.764803

13.656572

15.780098

13.963753

14.035327

13.815717

13.662896

13.468258

13.768857

13.405781

14.051797

13.677589

13.979833

13.922007

hep-th/9903140

Zarembo

G. W. Semenoff, K. Zarembo

Solitons on Branes

15 pages, 2 figures; v2: two references added, version to be published in Nucl.Phys. B

Nucl.Phys. B556 (1999) 247-261

10.1016/S0550-3213(99)00365-X

ITEP-TH-7/99

hep-th

null

We examine the possibility that gauge field configurations on stacks of parallel Dp branes support topological solitons. We give an exhaustive list of possible soliton charges for p<7. We also discuss how configurations carrying the soliton charges can be constructed from intersecting branes.

[ { "created": "Tue, 16 Mar 1999 15:07:44 GMT", "version": "v1" }, { "created": "Thu, 15 Jul 1999 22:04:00 GMT", "version": "v2" } ]

2009-10-31

[ [ "Semenoff", "G. W.", "" ], [ "Zarembo", "K.", "" ] ]

We examine the possibility that gauge field configurations on stacks of parallel Dp branes support topological solitons. We give an exhaustive list of possible soliton charges for p<7. We also discuss how configurations carrying the soliton charges can be constructed from intersecting branes.

11.546962

10.122611

9.889488

9.207874

8.960545

9.98737

9.503327

9.765303

9.235528

11.089093

9.475091

9.940568

10.547168

9.546481

9.513871

9.648668

9.555786

9.653359

9.296346

10.368124

9.806001

2308.04490

Dhruva K.S

Sachin Jain and Dhruva K.S

A Spin on the Bulk Locality of Slightly Broken Higher Spin Theories

55 pages including appendices, 1 figure

null

hep-th

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

In this paper, we investigate if it is possible to express correlation functions in Large N Chern-Simons (CS) matter theories/ Slightly Broken Higher Spin (SBHS) theories purely in terms of single trace twist conformal blocks (TCBs). For this, we first develop the machinery for spinning TCBs. We do this both by explicitly solving the spinning TCB eigenvalue equation taking into account consistency with the operator product expansion (OPE) and crossing symmetry, and also by employing weight shifting and spin raising operators and acting with them on scalar seeds. Using these results we show that spinning correlators in theories with exact higher spin symmetry can be entirely expressed in terms of single trace TCBs. However, when the higher spin symmetry is slightly broken at large- N, even though the scalar four-point function is given by single-trace TCBs, the spinning correlators in general, are not. Our results suggest that it may be possible to identify a sub-sector of SBHS theory which has a local bulk dual.

[ { "created": "Tue, 8 Aug 2023 18:00:16 GMT", "version": "v1" } ]

2023-08-10

[ [ "Jain", "Sachin", "" ], [ "S", "Dhruva K.", "" ] ]

In this paper, we investigate if it is possible to express correlation functions in Large N Chern-Simons (CS) matter theories/ Slightly Broken Higher Spin (SBHS) theories purely in terms of single trace twist conformal blocks (TCBs). For this, we first develop the machinery for spinning TCBs. We do this both by explicitly solving the spinning TCB eigenvalue equation taking into account consistency with the operator product expansion (OPE) and crossing symmetry, and also by employing weight shifting and spin raising operators and acting with them on scalar seeds. Using these results we show that spinning correlators in theories with exact higher spin symmetry can be entirely expressed in terms of single trace TCBs. However, when the higher spin symmetry is slightly broken at large- N, even though the scalar four-point function is given by single-trace TCBs, the spinning correlators in general, are not. Our results suggest that it may be possible to identify a sub-sector of SBHS theory which has a local bulk dual.

8.47585

8.063718

8.53069

8.240026

8.245283

8.253357

8.068162

8.177277

7.922724

10.149583

7.989778

8.099415

8.461318

7.982704

8.269699

8.060985

8.243121

8.120963

8.01626

8.440442

8.099705

1202.4934

Ralph Blumenhagen

Ralph Blumenhagen, Andreas Deser, Erik Plauschinn and Felix Rennecke

Palatini-Lovelock-Cartan Gravity - Bianchi Identities for Stringy Fluxes

25 pages, notation improved, refs added

null

10.1088/0264-9381/29/13/135004

MPP-2012-10; ITP-UU-12/07; SPIN-12/06

hep-th gr-qc

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

A Palatini-type action for Einstein and Gauss-Bonnet gravity with non-trivial torsion is proposed. Three-form flux is incorporated via a deformation of the Riemann tensor, and consistency of the Palatini variational principle requires the flux to be covariantly constant and to satisfy a Jacobi identity. Studying gravity actions of third order in the curvature leads to a conjecture about general Palatini-Lovelock-Cartan gravity. We point out potential relations to string-theoretic Bianchi identities and, using the Schouten-Nijenhuis bracket, derive a set of Bianchi identities for the non-geometric Q- and R-fluxes which include derivative and curvature terms. Finally, the problem of relating torsional gravity to higher-order corrections of the bosonic string-effective action is revisited.

[ { "created": "Wed, 22 Feb 2012 15:06:04 GMT", "version": "v1" }, { "created": "Wed, 29 Feb 2012 19:40:51 GMT", "version": "v2" } ]

2015-06-04

[ [ "Blumenhagen", "Ralph", "" ], [ "Deser", "Andreas", "" ], [ "Plauschinn", "Erik", "" ], [ "Rennecke", "Felix", "" ] ]

A Palatini-type action for Einstein and Gauss-Bonnet gravity with non-trivial torsion is proposed. Three-form flux is incorporated via a deformation of the Riemann tensor, and consistency of the Palatini variational principle requires the flux to be covariantly constant and to satisfy a Jacobi identity. Studying gravity actions of third order in the curvature leads to a conjecture about general Palatini-Lovelock-Cartan gravity. We point out potential relations to string-theoretic Bianchi identities and, using the Schouten-Nijenhuis bracket, derive a set of Bianchi identities for the non-geometric Q- and R-fluxes which include derivative and curvature terms. Finally, the problem of relating torsional gravity to higher-order corrections of the bosonic string-effective action is revisited.

10.440351

9.306254

11.905063

9.485655

10.097487

9.946767

10.491513

9.62538

8.758345

11.807231

9.982479

8.887048

9.814229

9.670884

9.292597

9.379691

9.341159

9.5914

9.348495

9.961149

9.426128

0912.3250

Albrecht Klemm

Thomas W. Grimm, Tae-Won Ha, Albrecht Klemm, Denis Klevers

Five-Brane Superpotentials and Heterotic/F-theory Duality

43 pages, v2: minor corrections

Nucl.Phys.B838:458-491,2010

10.1016/j.nuclphysb.2010.06.011

null

hep-th

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

Under heterotic/F-theory duality it was argued that a wide class of heterotic five-branes is mapped into the geometry of an F-theory compactification manifold. In four-dimensional compactifications this identifies a five-brane wrapped on a curve in the base of an elliptically fibered Calabi-Yau threefold with a specific F-theory Calabi-Yau fourfold containing the blow-up of the five-brane curve. We argue that this duality can be reformulated by first constructing a non-Calabi-Yau heterotic threefold by blowing up the curve of the five-brane into a divisor with five-brane flux. Employing heterotic/F-theory duality this leads us to the construction of a Calabi-Yau fourfold and four-form flux. Moreover, we obtain an explicit map between the five-brane superpotential and an F-theory flux superpotential. The map of the open-closed deformation problem of a five-brane in a compact Calabi-Yau threefold into a deformation problem of complex structures on a dual Calabi-Yau fourfold with four-form flux provides a powerful tool to explicitly compute the five-brane superpotential.

[ { "created": "Wed, 16 Dec 2009 21:00:06 GMT", "version": "v1" }, { "created": "Fri, 11 Jun 2010 17:24:33 GMT", "version": "v2" } ]

2011-03-28

[ [ "Grimm", "Thomas W.", "" ], [ "Ha", "Tae-Won", "" ], [ "Klemm", "Albrecht", "" ], [ "Klevers", "Denis", "" ] ]

Under heterotic/F-theory duality it was argued that a wide class of heterotic five-branes is mapped into the geometry of an F-theory compactification manifold. In four-dimensional compactifications this identifies a five-brane wrapped on a curve in the base of an elliptically fibered Calabi-Yau threefold with a specific F-theory Calabi-Yau fourfold containing the blow-up of the five-brane curve. We argue that this duality can be reformulated by first constructing a non-Calabi-Yau heterotic threefold by blowing up the curve of the five-brane into a divisor with five-brane flux. Employing heterotic/F-theory duality this leads us to the construction of a Calabi-Yau fourfold and four-form flux. Moreover, we obtain an explicit map between the five-brane superpotential and an F-theory flux superpotential. The map of the open-closed deformation problem of a five-brane in a compact Calabi-Yau threefold into a deformation problem of complex structures on a dual Calabi-Yau fourfold with four-form flux provides a powerful tool to explicitly compute the five-brane superpotential.

5.873954

5.858406

7.444398

5.809203

6.127881

6.229373

6.369616

6.200104

6.079734

7.587542

5.792195

5.753939

6.312155

5.750867

5.772083

5.702125

5.718603

5.733643

5.609766

6.172521

5.726429

2007.11759

KaiXin Zhu

Kai-Xin Zhu, Fu-Wen Shu and Dong-Hui Du

Holographic complexity for nonlinearly charged Lifshitz black holes

23 pages, 5 figures

null

10.1088/1361-6382/aba843

null

hep-th gr-qc

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

Using "complexity=action" proposal we study the late time growth rate of holographic complexity for nonlinear charged Lifshitz black hole with a single horizon or two horizons. As a toy model, we consider two kinds of such black holes: nonlinear charged Lifshitz black hole and nonlinear logarithmic charged Lifshitz black hole. We find that for the black hole with two horizons, the action growth bound is satisfied. But for the black hole with a single horizon, whether the Lloyd bound is violated depends on the specific value of dimensionless coupling constants $\beta_{1},\beta_{2}$, spacetime dimension $D$ and dynamical exponent $z$.

[ { "created": "Thu, 23 Jul 2020 02:23:18 GMT", "version": "v1" } ]

2020-09-18

[ [ "Zhu", "Kai-Xin", "" ], [ "Shu", "Fu-Wen", "" ], [ "Du", "Dong-Hui", "" ] ]

Using "complexity=action" proposal we study the late time growth rate of holographic complexity for nonlinear charged Lifshitz black hole with a single horizon or two horizons. As a toy model, we consider two kinds of such black holes: nonlinear charged Lifshitz black hole and nonlinear logarithmic charged Lifshitz black hole. We find that for the black hole with two horizons, the action growth bound is satisfied. But for the black hole with a single horizon, whether the Lloyd bound is violated depends on the specific value of dimensionless coupling constants $\beta_{1},\beta_{2}$, spacetime dimension $D$ and dynamical exponent $z$.

8.04156

5.167359

6.363562

5.50062

5.749889

5.446989

4.99416

5.036337

4.984432

7.086668

5.47109

5.647549

6.393461

5.647467

5.419621

5.427413

5.545251

5.547268

5.620262

6.353108

5.604056

hep-th/9710188

Carlo Ungarelli

A. Buonanno, K. Meissner, C. Ungarelli, G. Veneziano

Quantum Inhomogeneities in String Cosmology

30 pages, RevteX, epsfig, 5 figures

JHEP 9801 (1998) 004

10.1088/1126-6708/1998/01/004

null

hep-th gr-qc

null

Within two specific string cosmology scenarios --differing in the way the pre- and post-big bang phases are joined-- we compute the size and spectral slope of various types of cosmologically amplified quantum fluctuations that arise in generic compactifications of heterotic string theory. By further imposing that these perturbations become the dominant source of energy at the onset of the radiation era, we obtain physical bounds on the background's moduli, and discuss the conditions under which both a (quasi-) scale-invariant spectrum of axionic perturbations and sufficiently large seeds for the galactic magnetic fields are generated. We also point out a potential problem with achieving the exit to the radiation era when the string coupling is near its present value.

[ { "created": "Fri, 24 Oct 1997 16:34:12 GMT", "version": "v1" } ]

2009-10-30

[ [ "Buonanno", "A.", "" ], [ "Meissner", "K.", "" ], [ "Ungarelli", "C.", "" ], [ "Veneziano", "G.", "" ] ]

Within two specific string cosmology scenarios --differing in the way the pre- and post-big bang phases are joined-- we compute the size and spectral slope of various types of cosmologically amplified quantum fluctuations that arise in generic compactifications of heterotic string theory. By further imposing that these perturbations become the dominant source of energy at the onset of the radiation era, we obtain physical bounds on the background's moduli, and discuss the conditions under which both a (quasi-) scale-invariant spectrum of axionic perturbations and sufficiently large seeds for the galactic magnetic fields are generated. We also point out a potential problem with achieving the exit to the radiation era when the string coupling is near its present value.

12.767522

13.692793

12.801038

11.769692

12.106725

14.16258

12.608822

12.234711

11.240047

13.596362

11.760921

12.026629

11.534105

11.373047

12.138075

11.738513

11.331243

11.93948

11.56071

11.758025

11.339904

2210.13479

Ricardo Schiappa

Marcos Marino, Ricardo Schiappa, Maximilian Schwick

New Instantons for Matrix Models

71 pages, 22 figures, 4 tables, jheppub-nosort.sty

null

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

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

The complete, nonperturbative content of random matrix models is described by resurgent-transseries -- general solutions to their corresponding string-equations. These transseries include exponentially-suppressed multi-instanton amplitudes obtained by eigenvalue tunneling, but they also contain exponentially-enhanced and mixed instanton-like sectors with no known matrix model interpretation. This work shows how these sectors can be also described by eigenvalue tunneling in matrix models -- but on the non-physical sheet of the spectral curve describing their large-N limit. This picture further explains the full resurgence of random matrices via analysis of all possible eigenvalue integration-contours. How to calculate these "anti" eigenvalue-tunneling amplitudes is explained in detail and in various examples, such as the cubic and quartic matrix models, and their double-scaling limit to Painleve I. This further provides direct matrix-model derivations of their resurgent Stokes data, which were recently obtained by different techniques.

[ { "created": "Mon, 24 Oct 2022 18:00:01 GMT", "version": "v1" } ]

2022-10-26

[ [ "Marino", "Marcos", "" ], [ "Schiappa", "Ricardo", "" ], [ "Schwick", "Maximilian", "" ] ]

The complete, nonperturbative content of random matrix models is described by resurgent-transseries -- general solutions to their corresponding string-equations. These transseries include exponentially-suppressed multi-instanton amplitudes obtained by eigenvalue tunneling, but they also contain exponentially-enhanced and mixed instanton-like sectors with no known matrix model interpretation. This work shows how these sectors can be also described by eigenvalue tunneling in matrix models -- but on the non-physical sheet of the spectral curve describing their large-N limit. This picture further explains the full resurgence of random matrices via analysis of all possible eigenvalue integration-contours. How to calculate these "anti" eigenvalue-tunneling amplitudes is explained in detail and in various examples, such as the cubic and quartic matrix models, and their double-scaling limit to Painleve I. This further provides direct matrix-model derivations of their resurgent Stokes data, which were recently obtained by different techniques.

15.560022

15.95661

18.002069

14.835595

16.197937

14.188208

14.964541

13.656926

14.2789

19.760693

14.841578

14.123873

15.124861

14.359449

14.587845

14.558007

14.194559

14.828798

15.197093

15.941198

14.025342

2007.05741

Jarah Evslin

Normal Ordering Normal Modes

26 pages, no figures

null

10.1140/epjc/s10052-021-08890-7

null

hep-th

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

In a soliton sector of a quantum field theory, it is often convenient to expand the quantum fields in terms of normal modes. Normal mode creation and annihilation operators can be normal ordered, and their normal ordered products have vanishing expectation values in the one-loop soliton ground state. The Hamiltonian of the theory, however, is usually normal ordered in the basis of operators which create plane waves. In this paper we find the Wick map between the two normal orderings. For concreteness, we restrict our attention to Schrodinger picture scalar fields in 1+1 dimensions, although we expect that our results readily generalize beyond this case. We find that plane wave ordered $n$-point functions of fields are sums of terms which factorize into $j$-point functions of zero modes, breather and continuum normal modes. We find a recursion formula in $j$ and, for products of fields at the same point, we solve the recursion formula at all $j$.

[ { "created": "Sat, 11 Jul 2020 10:48:45 GMT", "version": "v1" } ]

2021-02-24

[ [ "Evslin", "Jarah", "" ] ]

In a soliton sector of a quantum field theory, it is often convenient to expand the quantum fields in terms of normal modes. Normal mode creation and annihilation operators can be normal ordered, and their normal ordered products have vanishing expectation values in the one-loop soliton ground state. The Hamiltonian of the theory, however, is usually normal ordered in the basis of operators which create plane waves. In this paper we find the Wick map between the two normal orderings. For concreteness, we restrict our attention to Schrodinger picture scalar fields in 1+1 dimensions, although we expect that our results readily generalize beyond this case. We find that plane wave ordered $n$-point functions of fields are sums of terms which factorize into $j$-point functions of zero modes, breather and continuum normal modes. We find a recursion formula in $j$ and, for products of fields at the same point, we solve the recursion formula at all $j$.

9.775721

10.143627

9.987646

9.772693

9.920209

9.981769

10.035078

9.88418

9.715932

9.606377

9.776277

9.554982

8.852354

9.370002

9.195406

9.398367

9.355838

9.263376

9.398455

8.850423

9.054551

2008.12399

Jamie Law-Smith

Michael Dine, Jamie A.P. Law-Smith, Shijun Sun, Duncan Wood, Yan Yu

Obstacles to Constructing de Sitter Space in String Theory

20 pages. v2: references added; v3, v4: typos fixed

null

10.1007/JHEP02(2021)050

null

hep-th hep-ph

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

There have been many attempts to construct de Sitter space-times in string theory. While arguably there have been some successes, this has proven challenging, leading to the de Sitter swampland conjecture: quantum theories of gravity do not admit stable or metastable de Sitter space. Here we explain that, within controlled approximations, one lacks the tools to construct de Sitter space in string theory. Such approximations would require the existence of a set of (arbitrarily) small parameters, subject to severe constraints. But beyond this one also needs an understanding of big-bang and big-crunch singularities that is not currently accessible to standard approximations in string theory. The existence or non-existence of metastable de Sitter space in string theory remains a matter of conjecture.

[ { "created": "Thu, 27 Aug 2020 22:51:50 GMT", "version": "v1" }, { "created": "Wed, 2 Sep 2020 23:59:22 GMT", "version": "v2" }, { "created": "Mon, 28 Dec 2020 15:35:12 GMT", "version": "v3" }, { "created": "Thu, 4 Feb 2021 18:51:34 GMT", "version": "v4" } ]

2021-02-10

[ [ "Dine", "Michael", "" ], [ "Law-Smith", "Jamie A. P.", "" ], [ "Sun", "Shijun", "" ], [ "Wood", "Duncan", "" ], [ "Yu", "Yan", "" ] ]

There have been many attempts to construct de Sitter space-times in string theory. While arguably there have been some successes, this has proven challenging, leading to the de Sitter swampland conjecture: quantum theories of gravity do not admit stable or metastable de Sitter space. Here we explain that, within controlled approximations, one lacks the tools to construct de Sitter space in string theory. Such approximations would require the existence of a set of (arbitrarily) small parameters, subject to severe constraints. But beyond this one also needs an understanding of big-bang and big-crunch singularities that is not currently accessible to standard approximations in string theory. The existence or non-existence of metastable de Sitter space in string theory remains a matter of conjecture.

8.503349

8.081429

8.865336

8.320715

8.54908

8.063087

8.143875

8.37129

8.06021

9.038754

7.677483

8.114669

8.097031

7.88712

8.006457

8.139059

8.057401

7.755521

7.838261

8.277612

7.912042

2301.10514

Aleksandr Ivanov

A. V. Ivanov, N. V. Kharuk

Ordered Exponential and Its Features in Yang-Mills Effective Action

LaTeX, 13 pages

2023 Commun. Theor. Phys. 75 085202

10.1088/1572-9494/acde4e

null

hep-th math-ph math.MP

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

In this paper we discuss some non-trivial relations for ordered exponentials on smooth Riemannian manifolds. As an example of application, we study a dependence of the four-dimensional quantum Yang-Mills effective action on the background filed and gauge transformations. Also, we formulate some open questions about a structure of divergences.

[ { "created": "Wed, 25 Jan 2023 10:46:47 GMT", "version": "v1" } ]

2024-01-19

[ [ "Ivanov", "A. V.", "" ], [ "Kharuk", "N. V.", "" ] ]

In this paper we discuss some non-trivial relations for ordered exponentials on smooth Riemannian manifolds. As an example of application, we study a dependence of the four-dimensional quantum Yang-Mills effective action on the background filed and gauge transformations. Also, we formulate some open questions about a structure of divergences.

16.888332

13.269221

15.454306

13.105748

13.899968

13.458576

14.932287

13.456433

12.918849

15.677661

13.614842

13.237145

14.667898

14.046227

13.362265

13.542254

13.747183

14.473459

13.505065

15.403021

14.195846

2011.07023

Pavel Slepov

Irina Ya. Aref'eva, Kristina Rannu and Pavel Slepov

Holographic Anisotropic Model for Heavy Quarks in Anisotropic Hot Dense QGP with External Magnetic Field

38 pages, 26 figures, 2 tables, refs added, small rearrangement of Sect.2

JHEP 07, 161 (2021)

10.1007/JHEP07(2021)161

null

hep-th hep-ph

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

We present a five-dimensional fully anisotropic holographic model for heavy quarks supported by Einstein-dilaton-three-Maxwell action; one of the Maxwell fields is related to an external magnetic field. Influence of the external magnetic field on the 5-dim black hole solution and the confinement/deconfinement phase diagram is considered. The effect of the inverse magnetic catalyses is revealed and positions of critical end points are found.

[ { "created": "Fri, 13 Nov 2020 17:13:45 GMT", "version": "v1" }, { "created": "Tue, 17 Nov 2020 18:52:58 GMT", "version": "v2" } ]

2022-03-24

[ [ "Aref'eva", "Irina Ya.", "" ], [ "Rannu", "Kristina", "" ], [ "Slepov", "Pavel", "" ] ]

We present a five-dimensional fully anisotropic holographic model for heavy quarks supported by Einstein-dilaton-three-Maxwell action; one of the Maxwell fields is related to an external magnetic field. Influence of the external magnetic field on the 5-dim black hole solution and the confinement/deconfinement phase diagram is considered. The effect of the inverse magnetic catalyses is revealed and positions of critical end points are found.

13.810371

6.589478

13.976179

9.174944

10.193897

8.121412

8.798438

8.448792

8.897313

14.248832

8.727025

12.114578

12.940324

12.037825

11.98757

11.968091

11.595245

12.367951

11.74582

12.073507

11.465926

hep-th/9311115

Irina Ya. Aref'eva

I.Ya. Aref'eva

Regge Regime in QCD and Asymmetric Lattice Gauge Theory

LATEX, 13 pages, SMI-15-93

Phys.Lett.B325:171-182,1994

10.1016/0370-2693(94)90089-2

null

hep-th hep-lat hep-ph

null

We study the Regge regime of QCD as a special regime of lattice gauge theory on an asymmetric lattice. This lattice has a spacing $a_0 $ in the longitudinal direction and a spacing $a_t $ in the transversal direction. The limit $\frac{a_{0}}{a_{t}} \to 0$ corresponds to correlation functions with small longitudinal and large transversal coordinates, i.e. large $s$ and small $t$. On this lattice the longitudinal dynamics is described by the usual two-dimensional chiral field in finite volume and the transversal dynamics is emerged through an effective interaction of boundary terms of the longitudinal dynamics. The effective interaction depends crucially on the spectrum of the two-dimensional chiral field. Massless exitations produce an effective 2-dimensional action which is different from the action recently proposed by H.Verlinde and E.Verlinde. Massive exitations give raise to an effective action located on the contour in the longitudinal plane.

[ { "created": "Thu, 18 Nov 1993 14:56:16 GMT", "version": "v1" } ]

2011-07-19

[ [ "Aref'eva", "I. Ya.", "" ] ]

We study the Regge regime of QCD as a special regime of lattice gauge theory on an asymmetric lattice. This lattice has a spacing $a_0 $ in the longitudinal direction and a spacing $a_t $ in the transversal direction. The limit $\frac{a_{0}}{a_{t}} \to 0$ corresponds to correlation functions with small longitudinal and large transversal coordinates, i.e. large $s$ and small $t$. On this lattice the longitudinal dynamics is described by the usual two-dimensional chiral field in finite volume and the transversal dynamics is emerged through an effective interaction of boundary terms of the longitudinal dynamics. The effective interaction depends crucially on the spectrum of the two-dimensional chiral field. Massless exitations produce an effective 2-dimensional action which is different from the action recently proposed by H.Verlinde and E.Verlinde. Massive exitations give raise to an effective action located on the contour in the longitudinal plane.

9.217611

9.636238

9.684241

9.250978

10.345915

9.124428

9.456939

9.533759

8.960305

10.016732

9.259227

8.880628

9.26357

8.871597

9.353242

8.938476

9.164993

8.700962

9.014499

9.42307

9.064258

1212.2721

Nan Bai

Nan Bai, Yi-Hong Gao, Guan-Bu Qi, Xiao-Bao Xu

Holographic insulator/superconductor phase transition in Born-Infeld electrodynamics

11 pages, 6 figures typos fixed

null

hep-th

http://creativecommons.org/licenses/by/3.0/

We studied holographic insulator/superconductor phase transition in the framework of Born-Infeld electrodynamics both numerically and analytically. First we numerically study the effects of the Born-Infeld electrodynamics on the phase transition, find that the critical chemical potential is not changed by the Born-Infeld parameter. Then we employ the variational method for the Sturm-Liouville eigenvalue problem to analytically study the phase transition. The analytical results obtained are found to be consistent with the numerical results.

[ { "created": "Wed, 12 Dec 2012 07:49:01 GMT", "version": "v1" }, { "created": "Fri, 14 Dec 2012 09:42:59 GMT", "version": "v2" }, { "created": "Wed, 19 Dec 2012 00:23:55 GMT", "version": "v3" }, { "created": "Fri, 21 Dec 2012 12:45:40 GMT", "version": "v4" } ]

2012-12-24

[ [ "Bai", "Nan", "" ], [ "Gao", "Yi-Hong", "" ], [ "Qi", "Guan-Bu", "" ], [ "Xu", "Xiao-Bao", "" ] ]

We studied holographic insulator/superconductor phase transition in the framework of Born-Infeld electrodynamics both numerically and analytically. First we numerically study the effects of the Born-Infeld electrodynamics on the phase transition, find that the critical chemical potential is not changed by the Born-Infeld parameter. Then we employ the variational method for the Sturm-Liouville eigenvalue problem to analytically study the phase transition. The analytical results obtained are found to be consistent with the numerical results.

4.434878

3.395267

3.796181

3.396356

3.471869

3.440233

3.484117

3.425994

3.392234

3.900741

3.55547

3.91478

4.191227

3.919791

4.227018

3.942029

4.098728

3.83693

4.043868

4.246733

4.022969

hep-th/0405194

Keisuke Ohashi

Youichi Isozumi, Muneto Nitta, Keisuke Ohashi and Norisuke Sakai

Non-Abelian Walls in Supersymmetric Gauge Theories

62 pages, 17 figures, the final version in PRD

Phys.Rev. D70 (2004) 125014

10.1103/PhysRevD.70.125014

TIT/HEP-524

hep-th hep-ph math.DG

null

The Bogomol'nyi-Prasad-Sommerfield (BPS) multi-wall solutions are constructed in supersymmetric U(N_C) gauge theories in five dimensions with N_F(>N_C) hypermultiplets in the fundamental representation. Exact solutions are obtained with full generic moduli for infinite gauge coupling and with partial moduli for finite gauge coupling. The generic wall solutions require nontrivial configurations for either gauge fields or off-diagonal components of adjoint scalars depending on the gauge. Effective theories of moduli fields are constructed as world-volume gauge theories. Nambu-Goldstone and quasi-Nambu-Goldstone scalars are distinguished and worked out. Total moduli space of the BPS non-Abelian walls including all topological sectors is found to be the complex Grassmann manifold SU(N_F) / [SU(N_C) x SU(N_F-N_C) x U(1)] endowed with a deformed metric.

[ { "created": "Sat, 22 May 2004 12:21:46 GMT", "version": "v1" }, { "created": "Fri, 4 Mar 2005 07:30:10 GMT", "version": "v2" } ]

2007-05-23

[ [ "Isozumi", "Youichi", "" ], [ "Nitta", "Muneto", "" ], [ "Ohashi", "Keisuke", "" ], [ "Sakai", "Norisuke", "" ] ]

The Bogomol'nyi-Prasad-Sommerfield (BPS) multi-wall solutions are constructed in supersymmetric U(N_C) gauge theories in five dimensions with N_F(>N_C) hypermultiplets in the fundamental representation. Exact solutions are obtained with full generic moduli for infinite gauge coupling and with partial moduli for finite gauge coupling. The generic wall solutions require nontrivial configurations for either gauge fields or off-diagonal components of adjoint scalars depending on the gauge. Effective theories of moduli fields are constructed as world-volume gauge theories. Nambu-Goldstone and quasi-Nambu-Goldstone scalars are distinguished and worked out. Total moduli space of the BPS non-Abelian walls including all topological sectors is found to be the complex Grassmann manifold SU(N_F) / [SU(N_C) x SU(N_F-N_C) x U(1)] endowed with a deformed metric.

7.890823

6.242405

8.235733

6.173253

6.265843

5.89144

6.018676

6.027299

6.642451

8.364667

6.06334

6.85009

7.740608

7.032494

7.06607

6.85678

6.973155

6.979604

6.968401

7.69475

6.912433

hep-th/0310035

Kentaroh Yoshida

Makoto Sakaguchi, Kentaroh Yoshida (KEK)

Dirichlet Branes of the Covariant Open Supermembrane in AdS_4 x S^7 and AdS_7 x S^4

16 pages, LaTeX, some clarifications and references added

Nucl.Phys. B681 (2004) 137-151

10.1016/j.nuclphysb.2004.01.008

KEK-TH-904

hep-th

null

We discuss an open supermembrane theory in the AdS_4 x S^7 and AdS_7 x S^4 backgrounds. The possible Dirichlet branes of an open supermembrane are classified by analyzing the covariant Wess-Zumino term. All of the allowed configurations are related to those on the pp-wave background via the Penrose limit.

[ { "created": "Sat, 4 Oct 2003 07:43:59 GMT", "version": "v1" }, { "created": "Wed, 15 Oct 2003 04:58:00 GMT", "version": "v2" } ]

2010-04-05

[ [ "Sakaguchi", "Makoto", "", "KEK" ], [ "Yoshida", "Kentaroh", "", "KEK" ] ]

We discuss an open supermembrane theory in the AdS_4 x S^7 and AdS_7 x S^4 backgrounds. The possible Dirichlet branes of an open supermembrane are classified by analyzing the covariant Wess-Zumino term. All of the allowed configurations are related to those on the pp-wave background via the Penrose limit.

7.691212

5.866038

9.142738

5.763622

6.51694

6.002326

6.199986

5.683824

5.826991

9.692663

5.611506

6.334493

8.107265

6.408208

6.497305

6.387629

6.38363

6.345222

6.279225

7.672355

6.222879

1512.06924

Joseph A. Minahan

Localizing gauge theories on $S^d$

17 pages; v2: Typos corrected

null

10.1007/JHEP04(2016)152

UUITP-07/15

hep-th

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

We conjecture the form of the one-loop determinants for localized gauge theories with eight supersymmetries on $d$-dimensional spheres. Combining this with results for the localized action, we investigate the strong coupling behavior in the large $N$ limit for a continuous range of $d$. In particular, we find the $N$ dependence of the free energy for supersymmetric Yang-Mills with only a vector multiplet in $3<d<4$ and for maximally supersymmetric Yang-Mills in $3< d<6$. We also argue that this gives an effective way to regularize divergences after localization in $d=4$ for ${\mathcal N}=2$ gauge theories and $d=6$ for the maximally supersymmetric case.

[ { "created": "Tue, 22 Dec 2015 01:08:15 GMT", "version": "v1" }, { "created": "Fri, 29 Apr 2016 09:47:56 GMT", "version": "v2" } ]

2016-05-25

[ [ "Minahan", "Joseph A.", "" ] ]

We conjecture the form of the one-loop determinants for localized gauge theories with eight supersymmetries on $d$-dimensional spheres. Combining this with results for the localized action, we investigate the strong coupling behavior in the large $N$ limit for a continuous range of $d$. In particular, we find the $N$ dependence of the free energy for supersymmetric Yang-Mills with only a vector multiplet in $3<d<4$ and for maximally supersymmetric Yang-Mills in $3< d<6$. We also argue that this gives an effective way to regularize divergences after localization in $d=4$ for ${\mathcal N}=2$ gauge theories and $d=6$ for the maximally supersymmetric case.

6.846231

6.690567

7.323096

6.660978

6.421018

6.82994

6.394605

6.356306

6.297327

7.506473

6.804105

6.604156

7.100578

6.522516

6.47596

6.418373

6.541159

6.356202

6.494483

6.755899

6.334829

hep-th/0411187

Michelle Cyrier

Michelle Cyrier, Monica Guica, David Mateos, and Andrew Strominger

Microscopic Entropy of the Black Ring

5 pages; v2: References and acknowledgements added

Phys.Rev.Lett.94:191601,2005

10.1103/PhysRevLett.94.191601

null

hep-th

null

A surprising new seven-parameter supersymmetric black ring solution of five-dimensional supergravity has recently been discovered. In this paper, M-theory is used to give an exact microscopic accounting of its entropy.

[ { "created": "Sat, 20 Nov 2004 22:09:30 GMT", "version": "v1" }, { "created": "Mon, 13 Dec 2004 17:46:57 GMT", "version": "v2" } ]

2009-09-17

[ [ "Cyrier", "Michelle", "" ], [ "Guica", "Monica", "" ], [ "Mateos", "David", "" ], [ "Strominger", "Andrew", "" ] ]

A surprising new seven-parameter supersymmetric black ring solution of five-dimensional supergravity has recently been discovered. In this paper, M-theory is used to give an exact microscopic accounting of its entropy.

15.989109

9.380582

15.392936

10.638528

9.512638

9.213333

8.545644

9.953362

9.080513

15.767687

9.680254

10.363377

14.118123

10.840997

11.074609

11.159156

10.910841

11.419287

11.220777

12.897052

10.609842

1106.5314

Tomohiko Takahashi

Shoko Inatomi, Isao Kishimoto, Tomohiko Takahashi

Homotopy Operators and One-Loop Vacuum Energy at the Tachyon Vacuum

16 pages, LaTeX with PTPTeX.cls;v2: comments and footnotes added

Prog. Theor. Phys. 126 (2011), 1077-1089

10.1143/PTP.126.1077

null

hep-th

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

We construct the homotopy operators for the BRST operator in the theory around the identity-based solutions, which are believed to represent the tachyon vacuum in cubic bosonic open string field theory. Using the homotopy operators, we find that the one-loop vacuum energy at the tachyon vacuum is independent of moduli such as interbrane distances, which are included in the BRST operator. We also revisit the cohomology problem, which was solved earlier without the homotopy operators.

[ { "created": "Mon, 27 Jun 2011 06:54:49 GMT", "version": "v1" }, { "created": "Tue, 31 Jan 2012 06:26:06 GMT", "version": "v2" } ]

2012-02-01

[ [ "Inatomi", "Shoko", "" ], [ "Kishimoto", "Isao", "" ], [ "Takahashi", "Tomohiko", "" ] ]

We construct the homotopy operators for the BRST operator in the theory around the identity-based solutions, which are believed to represent the tachyon vacuum in cubic bosonic open string field theory. Using the homotopy operators, we find that the one-loop vacuum energy at the tachyon vacuum is independent of moduli such as interbrane distances, which are included in the BRST operator. We also revisit the cohomology problem, which was solved earlier without the homotopy operators.

9.43232

9.732246

10.713601

9.181437

8.62877

9.938345

9.952413

8.727154

9.01484

12.898642

9.235796

9.296277

9.332014

9.254164

9.041138

9.226604

9.032495

9.175698

8.79655

9.477095

9.113817

2309.02180

Evan Owen

Simplicial Lattice Study of the 2d Ising CFT

PhD Thesis, Boston University 2023, 61 pages

null

hep-th hep-lat

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

I derive a formulation of the 2-dimensional critical Ising model on non-uniform simplicial lattices. Surprisingly, the derivation leads to a set of geometric constraints that a lattice must satisfy in order for the model to have a well-defined continuum limit. I perform Monte Carlo simulations of the critical Ising model on discretizations of several non-trivial manifolds including a twisted torus and a 2-sphere and I show that the simulations are in agreement with the 2d Ising CFT in the continuum limit. I discuss the inherent benefits of using non-uniform simplicial lattices to study quantum field theory and how the methods developed here can potentially be generalized for use with other theories.

[ { "created": "Tue, 5 Sep 2023 12:33:41 GMT", "version": "v1" } ]

2023-09-06

[ [ "Owen", "Evan", "" ] ]

I derive a formulation of the 2-dimensional critical Ising model on non-uniform simplicial lattices. Surprisingly, the derivation leads to a set of geometric constraints that a lattice must satisfy in order for the model to have a well-defined continuum limit. I perform Monte Carlo simulations of the critical Ising model on discretizations of several non-trivial manifolds including a twisted torus and a 2-sphere and I show that the simulations are in agreement with the 2d Ising CFT in the continuum limit. I discuss the inherent benefits of using non-uniform simplicial lattices to study quantum field theory and how the methods developed here can potentially be generalized for use with other theories.

6.853839

7.250316

6.948734

6.454828

6.767961

6.56671

6.98449

7.129659

6.733799

7.260423

6.452234

6.485937

6.828383

6.590793

6.595447

6.715755

6.706343

6.554254

6.760539

6.922861

6.429136

1705.09550

Igor Bandos

An analytic superfield formalism for tree superamplitudes in D=10 and D=11

LaTeX, 51pp. V2: improved and completed; to be published in JHEP; 63pp

null

10.1007/JHEP05(2018)103

null

hep-th gr-qc hep-ph

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

Tree amplitudes of 10D supersymmetric Yang-Mills theory (SYM) and 11D supergravity (SUGRA) are collected in multi-particle counterparts of analytic on-shell superfields. These have essentially the same form as their chiral 4D counterparts describing ${\cal N}=4$ SYM and ${\cal N}=8$ SUGRA, but with components dependent on a different set of bosonic variables. These are the D=10 and D=11 spinor helicity variables, the set of which includes the spinor frame variable (Lorentz harmonics) and a scalar density, and generalized homogeneous coordinates of the coset $\frac{SO(D-2)}{SO(D-4)\otimes U(1)}$ (internal harmonics). We present an especially convenient parametrization of the spinor harmonics (Lorentz covariant gauge fixed with the use of an auxiliary gauge symmetry) and use this to find (a gauge fixed version of) the 3-point tree superamplitudes of 10D SYM and 11D SUGRA which generalize the 4 dimensional anti-MHV superamplitudes.

[ { "created": "Fri, 26 May 2017 12:34:29 GMT", "version": "v1" }, { "created": "Mon, 7 May 2018 09:48:46 GMT", "version": "v2" } ]

2018-06-13

[ [ "Bandos", "Igor", "" ] ]

Tree amplitudes of 10D supersymmetric Yang-Mills theory (SYM) and 11D supergravity (SUGRA) are collected in multi-particle counterparts of analytic on-shell superfields. These have essentially the same form as their chiral 4D counterparts describing ${\cal N}=4$ SYM and ${\cal N}=8$ SUGRA, but with components dependent on a different set of bosonic variables. These are the D=10 and D=11 spinor helicity variables, the set of which includes the spinor frame variable (Lorentz harmonics) and a scalar density, and generalized homogeneous coordinates of the coset $\frac{SO(D-2)}{SO(D-4)\otimes U(1)}$ (internal harmonics). We present an especially convenient parametrization of the spinor harmonics (Lorentz covariant gauge fixed with the use of an auxiliary gauge symmetry) and use this to find (a gauge fixed version of) the 3-point tree superamplitudes of 10D SYM and 11D SUGRA which generalize the 4 dimensional anti-MHV superamplitudes.

8.286552

7.697018

8.424604

7.258687

7.847938

7.358788

7.56935

7.524393

7.314121

9.562984

7.213168

7.074541

7.648882

7.387044

7.314302

7.202924

7.1082

6.919094

7.276008

7.627686

7.35297

0910.2387

Rong-Gen Cai

Rong-Gen Cai, Li-Ming Cao, Ya-Peng Hu, Nobuyoshi Ohta

Generalized Misner-Sharp Energy in f(R) Gravity

Revtex, 17 pages, v2: some references added, to appear in PRD

Phys.Rev.D80:104016,2009

10.1103/PhysRevD.80.104016

KU-TP 036

hep-th gr-qc

http://creativecommons.org/licenses/by/3.0/

We study generalized Misner-Sharp energy in $f(R)$ gravity in a spherically symmetric spacetime. We find that unlike the cases of Einstein gravity and Gauss-Bonnet gravity, the existence of the generalized Misner-Sharp energy depends on a constraint condition in the $f(R)$ gravity. When the constraint condition is satisfied, one can define a generalized Misner-Sharp energy, but it cannot always be written in an explicit quasi-local form. However, such a form can be obtained in a FRW universe and for static spherically symmetric solutions with constant scalar curvature. In the FRW universe, the generalized Misner-Sharp energy is nothing but the total matter energy inside a sphere with radius $r$, which acts as the boundary of a finite region under consideration. The case of scalar-tensor gravity is also briefly discussed.

[ { "created": "Tue, 13 Oct 2009 13:07:57 GMT", "version": "v1" }, { "created": "Wed, 28 Oct 2009 01:08:51 GMT", "version": "v2" } ]

2010-04-29

[ [ "Cai", "Rong-Gen", "" ], [ "Cao", "Li-Ming", "" ], [ "Hu", "Ya-Peng", "" ], [ "Ohta", "Nobuyoshi", "" ] ]

We study generalized Misner-Sharp energy in $f(R)$ gravity in a spherically symmetric spacetime. We find that unlike the cases of Einstein gravity and Gauss-Bonnet gravity, the existence of the generalized Misner-Sharp energy depends on a constraint condition in the $f(R)$ gravity. When the constraint condition is satisfied, one can define a generalized Misner-Sharp energy, but it cannot always be written in an explicit quasi-local form. However, such a form can be obtained in a FRW universe and for static spherically symmetric solutions with constant scalar curvature. In the FRW universe, the generalized Misner-Sharp energy is nothing but the total matter energy inside a sphere with radius $r$, which acts as the boundary of a finite region under consideration. The case of scalar-tensor gravity is also briefly discussed.

5.264181

5.107169

4.974309

4.865756

4.941714

5.160529

5.165293

4.97219

5.01733

5.188359

4.810785

5.17429

4.957454

4.909744

5.019437

5.145102

4.897117

5.02192

5.062863

4.997964

4.927117

1605.00146

Andreas W. Aste

Andreas Aste

Weyl, Majorana and Dirac fields from a unified perspective

28 pages, 2 figures, one new section and two references added

Symmetry 2016, 8(9), 87

10.3390/sym8090087

null

hep-th

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

A self-contained derivation of the formalism describing Weyl, Majorana and Dirac fields from a unified perspective is given based on a concise description of the representation theory of the proper orthochronous Lorentz group. Lagrangian methods play no role in the present exposition, which covers several fundamental aspects of relativistic field theory which are commonly not included in introductory courses when treating fermionic fields via the Dirac equation in the first place.

[ { "created": "Sat, 30 Apr 2016 17:42:42 GMT", "version": "v1" }, { "created": "Fri, 12 Aug 2016 11:21:55 GMT", "version": "v2" } ]

2016-09-01

[ [ "Aste", "Andreas", "" ] ]

A self-contained derivation of the formalism describing Weyl, Majorana and Dirac fields from a unified perspective is given based on a concise description of the representation theory of the proper orthochronous Lorentz group. Lagrangian methods play no role in the present exposition, which covers several fundamental aspects of relativistic field theory which are commonly not included in introductory courses when treating fermionic fields via the Dirac equation in the first place.

10.977941

11.866034

12.215499

10.728419

12.099303

11.892793

11.506021

10.800065

10.609986

13.310747

10.626855

11.642247

11.190928

11.209599

11.053506

11.599589

11.839332

11.102613

10.657817

11.040251

10.967731

hep-th/9906028

Nelson Vanegas

Regularization of Automorphic Functions of Manifolds with Special K\"ahler Geometry

LaTeX2e, 31 Pages

null

UdeA-PE-02

hep-th

null

In this paper we find automorphic functions of coset manifolds with special K\"ahler geometry. We use \zeta-functions to regularize an infinite product over integers which belong to a duality-invariant lattice, this product is known to produce duality-invariant functions. In turn these functions correspond to Eisenstein series which can be understood as string theory amplitudes that receive contributions from BPS states. The Ansatz is constructed using the coset manifold SU(1,n)\over SU(n) \times U(1) as an example but it can be generalized. Automorphic functions play an important role in the calculation of threshold corrections to gauge coupling and other stringy phenomena. We also find some connections between the theory of Abelian varieties and moduli spaces of Calabi-Yau manifolds

[ { "created": "Thu, 3 Jun 1999 23:46:49 GMT", "version": "v1" } ]

2007-05-23

[ [ "Vanegas", "Nelson", "" ] ]

In this paper we find automorphic functions of coset manifolds with special K\"ahler geometry. We use \zeta-functions to regularize an infinite product over integers which belong to a duality-invariant lattice, this product is known to produce duality-invariant functions. In turn these functions correspond to Eisenstein series which can be understood as string theory amplitudes that receive contributions from BPS states. The Ansatz is constructed using the coset manifold SU(1,n)\over SU(n) \times U(1) as an example but it can be generalized. Automorphic functions play an important role in the calculation of threshold corrections to gauge coupling and other stringy phenomena. We also find some connections between the theory of Abelian varieties and moduli spaces of Calabi-Yau manifolds

11.45613

9.760605

12.078136

10.285884

10.798297

11.133365

10.396964

11.398103

9.573601

12.885527

10.141478

10.366556

10.897591

10.452186

10.209414

10.336159

10.360343

10.035146

10.325391

11.335881

10.353421

hep-th/0201113

Matthias R. Gaberdiel

Matthias R Gaberdiel

D-branes from conformal field theory

19 pages, LaTeX, 4 figures; to appear in the Proceedings of the RTN meeting `The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions', Corfu, September 2001; v2: minor corrections

null

10.1002/1521-3978(200209)50:8/9<783::AID-PROP783>3.0.CO;2-J

KCL-MTH-02-02

hep-th

null

An introduction to the construction of D-branes using conformal field theory methods is given. A number of examples are discussed in detail, in particular the construction of all conformal D-branes for the theory of a single free boson on a circle.

[ { "created": "Tue, 15 Jan 2002 21:17:56 GMT", "version": "v1" }, { "created": "Tue, 29 Jan 2002 11:42:52 GMT", "version": "v2" } ]

2015-06-26

[ [ "Gaberdiel", "Matthias R", "" ] ]

An introduction to the construction of D-branes using conformal field theory methods is given. A number of examples are discussed in detail, in particular the construction of all conformal D-branes for the theory of a single free boson on a circle.

6.352744

4.349186

6.457684

4.667898

5.217608

4.825329

5.276395

5.029283

4.695834

7.250326

5.168712

5.186769

6.635121

5.289809

5.279702

5.416543

5.323655

5.057965

5.301697

6.13886

5.536734

1110.3902

Gyungchoon Go

Gyungchoon Go, O-Kab Kwon, D. D. Tolla

${\cal N}=3$ Supersymmetric Effective Action of D2-branes in Massive IIA String Theory

22 pages, positive definite form of potential is added, some comments are changed

null

10.1103/PhysRevD.85.026006

null

hep-th

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

We obtain a new-type of ${\cal N}=3$ Yang-Mills Chern-Simons theory from the Mukhi-Papageorgakis Higgsing of the ${\cal N}=3$ Gaiotto-Tomasiello theory. This theory has ${\cal N}=1$ BPS fuzzy funnel solution which is expressed in terms of the seven generators of SU(3), excluding $T_8$. We propose that this is an effective theory of multiple D2-branes with D6- and D8-branes background in massive IIA string theory.

[ { "created": "Tue, 18 Oct 2011 08:09:43 GMT", "version": "v1" }, { "created": "Thu, 22 Dec 2011 08:09:49 GMT", "version": "v2" } ]

2013-05-30

[ [ "Go", "Gyungchoon", "" ], [ "Kwon", "O-Kab", "" ], [ "Tolla", "D. D.", "" ] ]

We obtain a new-type of ${\cal N}=3$ Yang-Mills Chern-Simons theory from the Mukhi-Papageorgakis Higgsing of the ${\cal N}=3$ Gaiotto-Tomasiello theory. This theory has ${\cal N}=1$ BPS fuzzy funnel solution which is expressed in terms of the seven generators of SU(3), excluding $T_8$. We propose that this is an effective theory of multiple D2-branes with D6- and D8-branes background in massive IIA string theory.

8.267905

8.317502

9.67033

7.473285

7.679093

8.533943

7.876702

8.020037

7.280204

10.381193

6.996034

7.195328

8.125604

7.488797

7.174509

7.375485

7.327688

7.425748

7.437094

8.449197

7.175929

2101.01681

Pietro Longhi

On the BPS spectrum of 5d SU(2) super-Yang-Mills

8 pages; v2 some updates due to an implicit assumption; v3 added appendix with proof of assumption, and some clarifications

Phys. Rev. Lett. 126, 211601 (2021)

10.1103/PhysRevLett.126.211601

null

hep-th math.AG

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

We provide a closed-form expression for the motivic Kontsevich-Soibelman invariant for M-theory in the background of the toric Calabi-Yau threefold $K_{\mathbb{F}_0}$. This encodes the refined BPS spectrum of $SU(2)$ 5d ${\cal N}=1$ Yang-Mills theory on $S^1\times \mathbb{R}^4$, corresponding to rank-zero Donaldson-Thomas invariants for $K_{\mathbb{F}_0}$, anywhere on the Coulomb branch.

[ { "created": "Tue, 5 Jan 2021 17:55:09 GMT", "version": "v1" }, { "created": "Wed, 6 Jan 2021 18:48:16 GMT", "version": "v2" }, { "created": "Fri, 8 Jan 2021 12:32:09 GMT", "version": "v3" } ]

2021-06-02

[ [ "Longhi", "Pietro", "" ] ]

We provide a closed-form expression for the motivic Kontsevich-Soibelman invariant for M-theory in the background of the toric Calabi-Yau threefold $K_{\mathbb{F}_0}$. This encodes the refined BPS spectrum of $SU(2)$ 5d ${\cal N}=1$ Yang-Mills theory on $S^1\times \mathbb{R}^4$, corresponding to rank-zero Donaldson-Thomas invariants for $K_{\mathbb{F}_0}$, anywhere on the Coulomb branch.

5.881925

4.576403

6.599998

4.921016

4.999913

4.879022

5.177992

4.831652

4.729189

5.889193

4.652492

5.035969

5.51556

4.872255

5.01927

5.221402

5.144542

4.925585

4.925613

5.301225

5.055144

hep-th/0507007

Nejat Yilmaz

Tekin Dereli, Nejat T. Yilmaz

Dualisation of the Symmetric Space Sigma Model with Couplings

17 pages

Nucl.Phys.B705:60-70,2005

10.1016/j.nuclphysb.2004.11.006

null

hep-th

null

The first-order formulation of the G/K symmetric space sigma model of the scalar cosets of the supergravity theories is discussed when there is coupling of (m-1)-form matter fields. The Lie superalgebra which enables the dualized coset formulation is constructed for a general scalar coset G/K with matter coupling where G is a non-compact real form of a semi-simple Lie group and K is its maximal compact subgroup.

[ { "created": "Fri, 1 Jul 2005 10:40:19 GMT", "version": "v1" } ]

2010-01-15

[ [ "Dereli", "Tekin", "" ], [ "Yilmaz", "Nejat T.", "" ] ]

The first-order formulation of the G/K symmetric space sigma model of the scalar cosets of the supergravity theories is discussed when there is coupling of (m-1)-form matter fields. The Lie superalgebra which enables the dualized coset formulation is constructed for a general scalar coset G/K with matter coupling where G is a non-compact real form of a semi-simple Lie group and K is its maximal compact subgroup.

15.146199

13.731682

16.698236

13.198714

14.204478

12.924056

14.13714

12.595692

13.693522

16.78688

12.891712

13.221942

14.137413

13.415244

13.296189

12.872065

12.590022

12.66783

13.771849

14.537601

13.048682

2006.16641

Yermek Aldabergenov

Yermek Aldabergenov, Andrea Addazi, Sergei V. Ketov

Primordial black holes from modified supergravity

30 pages, 17 figures, 4 tables. Update v3: Section 6 is revised and main results are improved. Added two references

Eur. Phys. J. C, 80 (2020) 10, 917

10.1140/epjc/s10052-020-08506-6

IPMU20-0074

hep-th astro-ph.CO gr-qc

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

The modified supergravity approach is applied to describe a formation of Primordial Black Holes (PBHs) after Starobinsky inflation. Our approach naturally leads to the two-(scalar)-field attractor-type double inflation, whose first stage is driven by scalaron and whose second stage is driven by another scalar field which belongs to a supergravity multiplet. The scalar potential and the kinetic terms are derived, the vacua are studied, and the inflationary dynamics of those two scalars is investigated. We numerically compute the power spectra and we find the ultra-slow-roll regime leading to an enhancement (peak) in the scalar power spectrum. This leads to an efficient formation of PBHs. We estimate the masses of PBHs and we find their density fraction (as part of Dark Matter). We show that our modified supergravity models are in agreement with inflationary observables, while they predict the PBH masses in a range between $10^{16}$ g and $10^{20}$ g. In this sense, modified supergravity provides a natural top-down approach for explaining and unifying the origin of inflation and the PBHs Dark Matter.

[ { "created": "Tue, 30 Jun 2020 10:07:15 GMT", "version": "v1" }, { "created": "Mon, 6 Jul 2020 08:10:35 GMT", "version": "v2" }, { "created": "Sat, 26 Sep 2020 09:51:06 GMT", "version": "v3" } ]

2020-10-12

[ [ "Aldabergenov", "Yermek", "" ], [ "Addazi", "Andrea", "" ], [ "Ketov", "Sergei V.", "" ] ]

The modified supergravity approach is applied to describe a formation of Primordial Black Holes (PBHs) after Starobinsky inflation. Our approach naturally leads to the two-(scalar)-field attractor-type double inflation, whose first stage is driven by scalaron and whose second stage is driven by another scalar field which belongs to a supergravity multiplet. The scalar potential and the kinetic terms are derived, the vacua are studied, and the inflationary dynamics of those two scalars is investigated. We numerically compute the power spectra and we find the ultra-slow-roll regime leading to an enhancement (peak) in the scalar power spectrum. This leads to an efficient formation of PBHs. We estimate the masses of PBHs and we find their density fraction (as part of Dark Matter). We show that our modified supergravity models are in agreement with inflationary observables, while they predict the PBH masses in a range between $10^{16}$ g and $10^{20}$ g. In this sense, modified supergravity provides a natural top-down approach for explaining and unifying the origin of inflation and the PBHs Dark Matter.

8.280359

7.980071

8.454578

8.123834

8.068972

8.418592

8.406507

7.944333

8.096081

8.619026

7.972965

8.176787

8.106975

7.992241

8.023705

8.122128

7.915098

7.95379

7.84752

8.26874

7.98661

1808.09136

Bobby Ezhuthachan

Suchetan Das, Bobby Ezhuthachan

Modular Hamiltonians and large diffeomorphisms in $AdS_3$

17 pages

null

10.1007/JHEP12(2018)096

null

hep-th

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

We generalize the work of Kabat and Lifshytz (arXiv:1703.06523), of reconstructing bulk scalar fields using the intersecting modular hamiltonian approach discussed therein, to any locally $AdS_3$ space related to $AdS_3$ by large diffeomorphisms. We present several checks for our result including matcing with their result in appropriate limits as well as consistency with bulk diffeomorphisms. As a further check, from our expressions we also compute the first correction due to gravitational dressing to the bulk scalar field in $AdS_3$ and match with known results in the literature.

[ { "created": "Tue, 28 Aug 2018 06:26:06 GMT", "version": "v1" }, { "created": "Wed, 12 Sep 2018 10:13:40 GMT", "version": "v2" } ]

2019-01-30

[ [ "Das", "Suchetan", "" ], [ "Ezhuthachan", "Bobby", "" ] ]

We generalize the work of Kabat and Lifshytz (arXiv:1703.06523), of reconstructing bulk scalar fields using the intersecting modular hamiltonian approach discussed therein, to any locally $AdS_3$ space related to $AdS_3$ by large diffeomorphisms. We present several checks for our result including matcing with their result in appropriate limits as well as consistency with bulk diffeomorphisms. As a further check, from our expressions we also compute the first correction due to gravitational dressing to the bulk scalar field in $AdS_3$ and match with known results in the literature.

12.626239

14.428906

15.920835

13.345998

12.826074

12.272848

13.633565

12.69945

13.662756

14.230265

12.70642

11.892982

12.251459

11.442141

11.704703

11.894696

11.664259

12.078652

12.221066

12.043605

10.950033

hep-th/0111132

Gogberashvili Merab Jakob

Merab Gogberashvili and Paul Midodashvili

Localization of Fields on a Brane in Six Dimensions

6 pages, LaTeX, no figures, two references added, minor changes. Version to appear in Europhysics Letters

Europhys.Lett.61:308-313,2003

10.1209/epl/i2003-00324-1

null

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

null

Universe is considered as a brane in infinite (2+4)-space.It is shown that zero modes of all kinds of matter fields and 4-gravity are localized on the brane by increasing transversal gravitational potential.

[ { "created": "Wed, 14 Nov 2001 20:48:17 GMT", "version": "v1" }, { "created": "Thu, 14 Nov 2002 15:03:18 GMT", "version": "v2" } ]

2010-12-17

[ [ "Gogberashvili", "Merab", "" ], [ "Midodashvili", "Paul", "" ] ]

Universe is considered as a brane in infinite (2+4)-space.It is shown that zero modes of all kinds of matter fields and 4-gravity are localized on the brane by increasing transversal gravitational potential.

34.414097

16.504156

23.652195

16.871601

19.389431

18.134958

18.801754

19.684626

17.243856

23.354763

22.284866

20.694174

22.027103

20.817541

21.796007

22.875061

21.184965

20.89687

21.341955

23.551712

23.785683

2402.13694

Onkar Parrikar

Ritam Basu, Anirban Ganguly, Souparna Nath, Onkar Parrikar

Complexity Growth and the Krylov-Wigner function

30 pages, 6 figures

null

hep-th quant-ph

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

For any state in a $D$-dimensional Hilbert space with a choice of basis, one can define a discrete version of the Wigner function -- a quasi-probability distribution which represents the state on a discrete phase space. The Wigner function can, in general, take on negative values, and the amount of negativity in the Wigner function has an operational meaning as a resource for quantum computation. In this note, we study the growth of Wigner negativity for a generic initial state under time evolution with chaotic Hamiltonians. We introduce the Krylov-Wigner function, i.e., the Wigner function defined with respect to the Krylov basis (with appropriate phases), and show that this choice of basis minimizes the early time growth of Wigner negativity in the large $D$ limit. We take this as evidence that the Krylov basis (with appropriate phases) is ideally suited for a dual, semi-classical description of chaotic quantum dynamics at large $D$. We also numerically study the time evolution of the Krylov-Wigner function and its negativity in random matrix theory for an initial pure state. We observe that the negativity broadly shows three phases: it rises gradually for a time of $O(\sqrt{D})$, then hits a sharp ramp and finally saturates close to its upper bound of $\sqrt{D}$.

[ { "created": "Wed, 21 Feb 2024 10:54:12 GMT", "version": "v1" } ]

2024-02-22

[ [ "Basu", "Ritam", "" ], [ "Ganguly", "Anirban", "" ], [ "Nath", "Souparna", "" ], [ "Parrikar", "Onkar", "" ] ]

For any state in a $D$-dimensional Hilbert space with a choice of basis, one can define a discrete version of the Wigner function -- a quasi-probability distribution which represents the state on a discrete phase space. The Wigner function can, in general, take on negative values, and the amount of negativity in the Wigner function has an operational meaning as a resource for quantum computation. In this note, we study the growth of Wigner negativity for a generic initial state under time evolution with chaotic Hamiltonians. We introduce the Krylov-Wigner function, i.e., the Wigner function defined with respect to the Krylov basis (with appropriate phases), and show that this choice of basis minimizes the early time growth of Wigner negativity in the large $D$ limit. We take this as evidence that the Krylov basis (with appropriate phases) is ideally suited for a dual, semi-classical description of chaotic quantum dynamics at large $D$. We also numerically study the time evolution of the Krylov-Wigner function and its negativity in random matrix theory for an initial pure state. We observe that the negativity broadly shows three phases: it rises gradually for a time of $O(\sqrt{D})$, then hits a sharp ramp and finally saturates close to its upper bound of $\sqrt{D}$.

6.322951

6.658552

6.759168

5.853754

6.428673

6.264738

6.280829

6.432318

6.43051

7.30422

6.127455

6.032947

6.150342

5.96083

5.956061

6.010979

6.126933

5.917111

6.041656

5.974427

5.9124

0711.2272

Dmitry V. Belyaev

Dmitry V. Belyaev, Peter van Nieuwenhuizen

Tensor calculus for supergravity on a manifold with boundary

20 pages, JHEP format; published version

JHEP0802:047,2008

10.1088/1126-6708/2008/02/047

DESY-07-208, YITP-SB-07-33

hep-th hep-ph

null

Using the simple setting of 3D N=1 supergravity, we show how the tensor calculus of supergravity can be extended to manifolds with boundary. We present an extension of the standard F-density formula which yields supersymmetric bulk-plus-boundary actions. To construct additional separately supersymmetric boundary actions, we decompose bulk supergravity and bulk matter multiplets into co-dimension one submultiplets. As an illustration we obtain the supersymmetric extension of the York-Gibbons-Hawking extrinsic curvature boundary term. We emphasize that our construction does not require any boundary conditions on off-shell fields. This gives a significant improvement over the existing orbifold supergravity tensor calculus.

[ { "created": "Wed, 14 Nov 2007 20:51:59 GMT", "version": "v1" }, { "created": "Thu, 14 Feb 2008 15:01:59 GMT", "version": "v2" } ]

2008-11-26

[ [ "Belyaev", "Dmitry V.", "" ], [ "van Nieuwenhuizen", "Peter", "" ] ]

Using the simple setting of 3D N=1 supergravity, we show how the tensor calculus of supergravity can be extended to manifolds with boundary. We present an extension of the standard F-density formula which yields supersymmetric bulk-plus-boundary actions. To construct additional separately supersymmetric boundary actions, we decompose bulk supergravity and bulk matter multiplets into co-dimension one submultiplets. As an illustration we obtain the supersymmetric extension of the York-Gibbons-Hawking extrinsic curvature boundary term. We emphasize that our construction does not require any boundary conditions on off-shell fields. This gives a significant improvement over the existing orbifold supergravity tensor calculus.

10.658445

11.072913

11.269326

9.612397

10.239721

9.869985

10.683432

10.378518

10.747679

13.706335

10.34378

10.256454

10.935922

10.225325

10.244432

10.097969

10.382639

10.247773

10.487051

11.115355

10.277179

hep-th/0010057

Heinrich Saller

Heinrich Saller (MPI fuer Physik)

Residual Representations of Spacetime

30 pages, latex, macros included

Int.J.Theor.Phys. 40 (2001) 1209-1248

null

MPI-PTH/00-41

hep-th

null

Spacetime is modelled by binary relations - by the classes of the automorphisms $\GL(\C^2)$ of a complex 2-dimensional vector space with respect to the definite unitary subgroup $\U(2)$. In extension of Feynman propagators for particle quantum fields representing only the tangent spacetime structure, global spacetime representations are given, formulated as residues using energy-momentum distributions with the invariants as singularities. The associatated quantum fields are characterized by two invariant masses - for time and position - supplementing the one mass for the definite unitary particle sector with another mass for the indefinite unitary interaction sector without asymptotic particle interpretation.

[ { "created": "Mon, 9 Oct 2000 12:06:58 GMT", "version": "v1" } ]

2007-05-23

[ [ "Saller", "Heinrich", "", "MPI fuer Physik" ] ]

Spacetime is modelled by binary relations - by the classes of the automorphisms $\GL(\C^2)$ of a complex 2-dimensional vector space with respect to the definite unitary subgroup $\U(2)$. In extension of Feynman propagators for particle quantum fields representing only the tangent spacetime structure, global spacetime representations are given, formulated as residues using energy-momentum distributions with the invariants as singularities. The associatated quantum fields are characterized by two invariant masses - for time and position - supplementing the one mass for the definite unitary particle sector with another mass for the indefinite unitary interaction sector without asymptotic particle interpretation.

28.567928

27.904211

29.485497

27.541489

28.016689

32.421242

29.594406

29.267389

26.553707

33.514202

26.460918

25.475449

24.998772

25.200157

25.536718

26.789106

26.173292

25.592073

25.338957

25.227016

26.443682

1004.0632

Alexei Kotov

A.Kotov, T.Strobl

Generalizing Geometry - Algebroids and Sigma Models

52 pages, Contribution to the Handbook on Pseudo-Riemannian Geometry and Supersymmetry, ed. V. Cortes

null

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

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

In this contribution we review some of the interplay between sigma models in theoretical physics and novel geometrical structures such as Lie (n-)algebroids. The first part of the article contains the mathematical background, the definition of various algebroids as well as of Dirac structures, a joint generalization of Poisson, presymplectic, but also complex structures. Proofs are given in detail. The second part deals with sigma models. Topological ones, in particular the AKSZ and the Dirac sigma models, as generalizations of the Poisson sigma models to higher dimensions and to Dirac structures, respectively, but also physical ones, that reduce to standard Yang Mills theories for the "flat" choice of a Lie algebra: Lie algebroid Yang Mills theories and possible action functionals for nonabelian gerbes and general higher gauge theories. Characteristic classes associated to Dirac structures and to higher principal bundles are also mentioned.

[ { "created": "Mon, 5 Apr 2010 13:39:34 GMT", "version": "v1" } ]

2010-04-06

[ [ "Kotov", "A.", "" ], [ "Strobl", "T.", "" ] ]

In this contribution we review some of the interplay between sigma models in theoretical physics and novel geometrical structures such as Lie (n-)algebroids. The first part of the article contains the mathematical background, the definition of various algebroids as well as of Dirac structures, a joint generalization of Poisson, presymplectic, but also complex structures. Proofs are given in detail. The second part deals with sigma models. Topological ones, in particular the AKSZ and the Dirac sigma models, as generalizations of the Poisson sigma models to higher dimensions and to Dirac structures, respectively, but also physical ones, that reduce to standard Yang Mills theories for the "flat" choice of a Lie algebra: Lie algebroid Yang Mills theories and possible action functionals for nonabelian gerbes and general higher gauge theories. Characteristic classes associated to Dirac structures and to higher principal bundles are also mentioned.

9.914926

11.829082

12.252774

10.619591

11.695577

11.875671

11.94765

10.845427

10.237708

12.575976

10.456276

9.886061

10.273742

10.097006

9.907436

9.882988

10.106078

10.15251

9.866089

10.599241

9.788491

1809.02328

Kentaro Hara

Kentaro Hara, Akifumi Sako, Hyun Seok Yang

Hermitian-Einstein metrics from noncommutative $U\left(1 \right)$ instantons

null

10.1063/1.5063528

null

hep-th math-ph math.MP

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

We show that Hermitian-Einstein metrics can be locally constructed by a map from (anti-)self-dual two-forms on Euclidean ${\mathbb R}^4$ to symmetric two-tensors introduced in "Gravitational instantons from gauge theory," H. S. Yang and M. Salizzoni, Phys. Rev. Lett. (2006) 201602, [hep-th/0512215]. This correspondence is valid not only for a commutative space but also for a noncommutative space. We choose $U(1)$ instantons on a noncommutative ${\mathbb C}^2$ as the self-dual two-form, from which we derive a family of Hermitian-Einstein metrics. We also discuss the condition when the metric becomes K\"ahler.

[ { "created": "Fri, 7 Sep 2018 07:13:02 GMT", "version": "v1" } ]

2019-10-02

[ [ "Hara", "Kentaro", "" ], [ "Sako", "Akifumi", "" ], [ "Yang", "Hyun Seok", "" ] ]

We show that Hermitian-Einstein metrics can be locally constructed by a map from (anti-)self-dual two-forms on Euclidean ${\mathbb R}^4$ to symmetric two-tensors introduced in "Gravitational instantons from gauge theory," H. S. Yang and M. Salizzoni, Phys. Rev. Lett. (2006) 201602, [hep-th/0512215]. This correspondence is valid not only for a commutative space but also for a noncommutative space. We choose $U(1)$ instantons on a noncommutative ${\mathbb C}^2$ as the self-dual two-form, from which we derive a family of Hermitian-Einstein metrics. We also discuss the condition when the metric becomes K\"ahler.

6.997414

6.961123

7.670916

6.596535

8.015707

6.994619

6.751793

7.072767

6.859984

7.398896

6.919499

6.447647

6.905454

6.592719

6.524928

6.350134

6.492318

6.535878

6.759515

6.673457

6.48949

hep-th/9602008

Andrei Demichev

M. Chaichian (University of Helsinki) and A.P.Demichev (CBPF/CNPQ, Rio de Janeiro)

Polynomial Algebras and Higher Spins

8 pages, LaTeX

null

10.1016/0375-9601(96)00631-7

HU-SEFT R 1996-02

hep-th

null

Polynomial relations for generators of $su(2)$ Lie algebra in arbitrary representations are found. They generalize usual relation for Pauli operators in spin 1/2 case and permit to construct modified Holstein-Primakoff transformations in finite dimensional Fock spaces. The connection between $su(2)$ Lie algebra and q-oscillators with a root of unity q-parameter is considered. The meaning of the polynomial relations from the point of view of quantum mechanics on a sphere are discussed.

[ { "created": "Fri, 2 Feb 1996 20:05:00 GMT", "version": "v1" } ]

2009-10-30

[ [ "Chaichian", "M.", "", "University of Helsinki" ], [ "Demichev", "A. P.", "", "CBPF/CNPQ, Rio\n de Janeiro" ] ]

Polynomial relations for generators of $su(2)$ Lie algebra in arbitrary representations are found. They generalize usual relation for Pauli operators in spin 1/2 case and permit to construct modified Holstein-Primakoff transformations in finite dimensional Fock spaces. The connection between $su(2)$ Lie algebra and q-oscillators with a root of unity q-parameter is considered. The meaning of the polynomial relations from the point of view of quantum mechanics on a sphere are discussed.

11.223025

10.441284

11.147088

9.561477

10.338278

9.175967

10.347363

9.713122

9.607993

12.867275

9.581849

9.214934

9.930576

9.350894

9.261916

9.219396

9.181285

9.314976

9.250959

10.12145

9.780042

hep-th/9812191

David Kastor

David Kastor and Euy Soo Na

Electric Dipole Moment of a BPS Monopole

8 pages, references and note added

Phys.Rev.D60:025002,1999

10.1103/PhysRevD.60.025002

UMHEP-457

hep-th

null

Monopole ``superpartner'' solutions are constructed by acting with finite, broken supersymmetry transformations on a bosonic N=2 BPS monopole. The terms beyond first order in this construction represent the backreaction of the the fermionic zero-mode state on the other fields. Because of the quantum nature of the fermionic zero-modes, the superpartner solution is necessarily operator valued. We extract the electric dipole moment operator and show that it is proportional to the fermion zero-mode angular momentum operator with a gyroelectric ratio g=2. The magnetic quadrupole operator is shown to vanish identically on all states. We comment on the usefulness of the monopole superpartner solution for a study of the long-range spin dependent dynamics of BPS monopoles.

[ { "created": "Mon, 21 Dec 1998 20:38:07 GMT", "version": "v1" }, { "created": "Mon, 4 Jan 1999 21:17:12 GMT", "version": "v2" } ]

2008-11-26

[ [ "Kastor", "David", "" ], [ "Na", "Euy Soo", "" ] ]

Monopole ``superpartner'' solutions are constructed by acting with finite, broken supersymmetry transformations on a bosonic N=2 BPS monopole. The terms beyond first order in this construction represent the backreaction of the the fermionic zero-mode state on the other fields. Because of the quantum nature of the fermionic zero-modes, the superpartner solution is necessarily operator valued. We extract the electric dipole moment operator and show that it is proportional to the fermion zero-mode angular momentum operator with a gyroelectric ratio g=2. The magnetic quadrupole operator is shown to vanish identically on all states. We comment on the usefulness of the monopole superpartner solution for a study of the long-range spin dependent dynamics of BPS monopoles.

11.959727

11.998668

13.070436

10.677116

12.320057

12.438964

13.078958

10.989985

12.317381

12.742602

11.253024

11.431984

11.821033

10.966556

10.944633

10.507794

10.921176

10.861012

11.268518

11.838923

11.075995

hep-th/0612068

Mokhtar Hassaine

Eloy Ay\'on-Beato and Mokhtar Hassa\"ine

Higher-dimensional AdS waves and pp-waves with conformally related sources

13 pages

Phys.Rev.D75:064025,2007

10.1103/PhysRevD.75.064025

CECS-PHY-06/26

hep-th gr-qc

null

AdS waves and pp-waves can only be supported by pure radiation fields, for which the only nonvanishing component of the energy-momentum tensor is the energy density along the retarded time. We show that the nonminimal coupling of self-gravitating scalar fields to the higher-dimensional versions of these exact gravitational waves can be done consistently. In both cases, the resulting pure radiation constraints completely fix the scalar field dependence and the form of the allowed self-interactions. More significantly, we establish that the two sets of pure radiation constraints are conformally related for any nonminimal coupling, in spite of the fact that the involved gravitational fields are not necessarily related. In this correspondence, the potential supporting the AdS waves emerges from the self-interaction associated to the pp-waves and a self-dual condition naturally satisfied by the pp-wave scalar fields.

[ { "created": "Fri, 8 Dec 2006 01:09:27 GMT", "version": "v1" } ]

2016-08-16

[ [ "Ayón-Beato", "Eloy", "" ], [ "Hassaïne", "Mokhtar", "" ] ]

AdS waves and pp-waves can only be supported by pure radiation fields, for which the only nonvanishing component of the energy-momentum tensor is the energy density along the retarded time. We show that the nonminimal coupling of self-gravitating scalar fields to the higher-dimensional versions of these exact gravitational waves can be done consistently. In both cases, the resulting pure radiation constraints completely fix the scalar field dependence and the form of the allowed self-interactions. More significantly, we establish that the two sets of pure radiation constraints are conformally related for any nonminimal coupling, in spite of the fact that the involved gravitational fields are not necessarily related. In this correspondence, the potential supporting the AdS waves emerges from the self-interaction associated to the pp-waves and a self-dual condition naturally satisfied by the pp-wave scalar fields.

11.355891

11.520671

11.674795

10.35929

11.773425

11.417301

11.548196

11.347455

10.673159

11.995296

10.893928

11.070419

10.857739

10.572668

10.427536

10.371568

10.94765

10.260653

10.384595

10.782987

10.59212

hep-th/0408025

Hidenori Sonoda

Two dimensional non-linear sigma models as a limit of the linear sigma models

13 pages, 3 figures, LaTeX, revised with an addition of Appendix B

Prog.Theor.Phys. 113 (2005) 1377-1390

10.1143/PTP.113.1377

KOBE-TH-04-03

hep-th

null

We show how to obtain the O(N) non-linear sigma model in two dimensions as a strong coupling limit of the corresponding linear sigma model. In taking the strong coupling limit, the squared mass parameter must be given a specific coupling dependence that assures the finiteness of the physical mass scale. The relation discussed in this paper, which applies to the renormalized theories as opposed to the regularized theories, is an example of a general relation between the linear and non-linear models in two and three dimensions.

[ { "created": "Tue, 3 Aug 2004 18:31:53 GMT", "version": "v1" }, { "created": "Wed, 29 Dec 2004 12:22:11 GMT", "version": "v2" } ]

2009-11-10

[ [ "Sonoda", "Hidenori", "" ] ]

We show how to obtain the O(N) non-linear sigma model in two dimensions as a strong coupling limit of the corresponding linear sigma model. In taking the strong coupling limit, the squared mass parameter must be given a specific coupling dependence that assures the finiteness of the physical mass scale. The relation discussed in this paper, which applies to the renormalized theories as opposed to the regularized theories, is an example of a general relation between the linear and non-linear models in two and three dimensions.

9.451765

8.664773

9.827718

8.614497

8.785797

9.293769

8.984053

8.510431

8.616919

10.023235

8.425555

8.22162

9.216112

8.57261

8.613234

8.48419

8.54723

8.602271

8.770537

9.130219

8.681559

2407.02554

Alice L\"uscher

Pietro Benetti Genolini, Jerome P. Gauntlett, Yusheng Jiao, Alice L\"uscher, James Sparks

Localization of the free energy in supergravity

6 pages

null

hep-th

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

We derive a general formula for the gravitational free energy of Euclidean supersymmetric solutions to $D=4$, $\mathcal{N}=2$ gauged supergravity coupled to vector multiplet matter. This allows one to compute the free energy without solving any supergravity equations, just assuming the solutions exist. As well as recovering some known results in the literature with ease, we also present new supergravity results that match with holographically dual field theory computations.

[ { "created": "Tue, 2 Jul 2024 18:00:00 GMT", "version": "v1" } ]

2024-07-04

[ [ "Genolini", "Pietro Benetti", "" ], [ "Gauntlett", "Jerome P.", "" ], [ "Jiao", "Yusheng", "" ], [ "Lüscher", "Alice", "" ], [ "Sparks", "James", "" ] ]

We derive a general formula for the gravitational free energy of Euclidean supersymmetric solutions to $D=4$, $\mathcal{N}=2$ gauged supergravity coupled to vector multiplet matter. This allows one to compute the free energy without solving any supergravity equations, just assuming the solutions exist. As well as recovering some known results in the literature with ease, we also present new supergravity results that match with holographically dual field theory computations.

7.997067

7.104153

8.785998

7.154006

7.39771

7.231567

7.455512

6.795339

6.85288

8.958362

7.239566

7.330964

8.211988

7.442922

7.30404

7.566058

7.513983

7.675539

7.227437

8.052563

7.305252

hep-th/9201038

null

L. Feher, L. O'Raifeartaigh, P. Ruelle and I. Tsutsui

Rational vs Polynomial Character of W$_n^l$-Algebras

18 pages

null

10.1016/0370-2693(92)90015-V

null

hep-th

null

The constraints proposed recently by Bershadsky to produce $W^l_n$ algebras are a mixture of first and second class constraints and are degenerate. We show that they admit a first-class subsystem from which they can be recovered by gauge-fixing, and that the non-degenerate constraints can be handled by previous methods. The degenerate constraints present a new situation in which the natural primary field basis for the gauge-invariants is rational rather than polynomial. We give an algorithm for constructing the rational basis and converting the base elements to polynomials.

[ { "created": "Tue, 21 Jan 1992 03:18:51 GMT", "version": "v1" }, { "created": "Wed, 26 Feb 1992 20:24:11 GMT", "version": "v2" } ]

2009-10-22

[ [ "Feher", "L.", "" ], [ "O'Raifeartaigh", "L.", "" ], [ "Ruelle", "P.", "" ], [ "Tsutsui", "I.", "" ] ]

The constraints proposed recently by Bershadsky to produce $W^l_n$ algebras are a mixture of first and second class constraints and are degenerate. We show that they admit a first-class subsystem from which they can be recovered by gauge-fixing, and that the non-degenerate constraints can be handled by previous methods. The degenerate constraints present a new situation in which the natural primary field basis for the gauge-invariants is rational rather than polynomial. We give an algorithm for constructing the rational basis and converting the base elements to polynomials.

19.018305

19.343405

20.687031

17.240791

19.627756

16.59903

16.912384

18.031021

17.032526

23.706545

15.573123

16.711946

19.866858

17.638588

17.807554

16.622559

17.126541

17.237934

18.362963

19.461342

16.393827

hep-th/0312138

Wolfgang Behr

Wolfgang Behr, Andreas Sykora

NC Wilson lines and the inverse Seiberg-Witten map for nondegenerate star products

8 pages

Eur.Phys.J. C35 (2004) 145-148

10.1140/epjc/s2004-01778-4

MPP-2003-138

hep-th

null

Open Wilson lines are known to be the observables of noncommutative gauge theory with Moyal-Weyl star product. We generalize these objects to more general star products. As an application we derive a formula for the inverse Seiberg-Witten map for star products with invertible Poisson structures.

[ { "created": "Fri, 12 Dec 2003 15:08:33 GMT", "version": "v1" } ]

2009-11-10

[ [ "Behr", "Wolfgang", "" ], [ "Sykora", "Andreas", "" ] ]

Open Wilson lines are known to be the observables of noncommutative gauge theory with Moyal-Weyl star product. We generalize these objects to more general star products. As an application we derive a formula for the inverse Seiberg-Witten map for star products with invertible Poisson structures.

13.081549

8.698533

10.214355

7.731132

9.644768

8.737491

8.743003

8.665939

8.436353

12.8042

9.011743

7.333593

8.769185

7.883937

8.279421

7.93009

7.907766

8.051131

8.019772

8.657952

8.916295

1804.06727

Behrouz Mirza

Masoumeh Tavakoli, Behrouz Mirza, Zeinab Sherkatghanad

Holographic entanglement entropy for charged accelerating AdS black holes

10 pages, 6 figures

Nuclear Physics B 943 (2019) 114620

10.1016/j.nuclphysb.2019.114620

null

hep-th gr-qc

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

We investigate the holographic entanglement entropy in the Rindler-AdS space-time to obtain an exact solution for the corresponding minimal surface. Moreover, the holographic entanglement entropy of the charged single accelerated AdS Black holes in four dimensions is investigated. We obtain the volume of the codimension one-time slice in the bulk geometry enclosed by the minimal surface for both the RindlerAdS space-time and the charged accelerated AdS Black holes in the bulk. It is shown that the holographic entanglement entropy and the volume enclosed by the minimal hyper-surface in both the Rindler spacetime and the charged single accelerated AdS Black holes (C-metric) in the bulk decrease with increasing acceleration parameter. Behavior of the entanglement entropy, subregion size and value of the acceleration parameter are investigated. It is shown that for jAj < 0:2 a larger subregion on the boundary is equivalent to less information about the space-time.

[ { "created": "Mon, 16 Apr 2018 10:37:09 GMT", "version": "v1" }, { "created": "Mon, 1 Jul 2019 12:46:22 GMT", "version": "v2" } ]

2019-07-02

[ [ "Tavakoli", "Masoumeh", "" ], [ "Mirza", "Behrouz", "" ], [ "Sherkatghanad", "Zeinab", "" ] ]

We investigate the holographic entanglement entropy in the Rindler-AdS space-time to obtain an exact solution for the corresponding minimal surface. Moreover, the holographic entanglement entropy of the charged single accelerated AdS Black holes in four dimensions is investigated. We obtain the volume of the codimension one-time slice in the bulk geometry enclosed by the minimal surface for both the RindlerAdS space-time and the charged accelerated AdS Black holes in the bulk. It is shown that the holographic entanglement entropy and the volume enclosed by the minimal hyper-surface in both the Rindler spacetime and the charged single accelerated AdS Black holes (C-metric) in the bulk decrease with increasing acceleration parameter. Behavior of the entanglement entropy, subregion size and value of the acceleration parameter are investigated. It is shown that for jAj < 0:2 a larger subregion on the boundary is equivalent to less information about the space-time.

8.955696

9.171643

10.435525

8.954364

9.465795

8.840688

9.740657

9.343472

8.818947

10.436722

8.788675

9.342667

9.043029

8.976916

9.248619

9.587349

9.239446

9.257383

8.998612

9.114458

9.178591

2207.04048

Gopal Yadav

Gopal Yadav and Aalok Misra

Entanglement entropy and Page curve from the ${\cal M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling

v4:1+77 Pages, LaTeX, 11 figures; title changed; Explanatory text added; to appear in PRD

null

10.1103/PhysRevD.107.106015

null

hep-th gr-qc

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

Obtaining the Page curve in the context of eternal black holes associated with top-down non-conformal holographic thermal duals at intermediate coupling, has been entirely unexplored in the literature. We fill this gap in the context of a doubly holographic setup relevant to the M-theory dual of thermal QCD-like theories at $T>T_c$ at intermediate coupling. Remarkably, excluding the higher derivative terms, the entanglement entropy(EE) of the Hawking radiation from the on-shell Wald EE (for appropriate choices of constants of integration appearing in the embeddings) increases almost linearly with the boundary time due to dominance of EE contribution from the Hartman-Maldacena(HM)-like surface $S_{EE}^{HM, \beta^0}, \beta\sim l_p^6$. Curiously, this imparts a "Swiss-Cheese" structure to the surface $S_{EE}^{HM, \beta^0}$ at a given time (less than the Page time $t_{P}$), in $\mathbb{R}_{\geq0} \times \mathbb{C}$ effecting what could be dubbed as a "Large N Scenario" (LNS). Then, after $t_{P}$, the EE contribution from the Island Surface (IS) $S_{EE}^{IS, \beta^0}$ dominates and saturates the linear time growth of the EE of Hawking radiation and leads to the Page curve. Requiring $S_{EE}^{IS, \beta^0}/S_{BH}\sim2$ up to LO in the non-conformal analog of "$c G_N^{(11)}/r_h^9$", and positivity of $t_{P}$, set respectively a lower and upper bound on the horizon radius $r_h$ (the non-extremality parameter). With the inclusion of the $O(R^4)$ terms in M theory, the turning point associated with the HM-like surface/IS being in the deep IR, results in a relationship between $l_p$ and $r_h$ along with a conjectural $e^{-{\cal O}(1) N^{1/3}}$-suppression (motivated by $S_{EE}^{IS, \beta^0}/S_{BH}\sim2$). We obtain a hierarchy with respect to this N-dependent exponential in $S_{EE}^{HM, \beta^0}, S_{EE}^{IS, \beta^0} (O(\beta^0))$ and $S_{EE}^{HM, \beta}, S_{EE}^{HM, \beta} (O(\beta))$.

[ { "created": "Thu, 7 Jul 2022 18:00:03 GMT", "version": "v1" }, { "created": "Thu, 1 Sep 2022 06:24:49 GMT", "version": "v2" }, { "created": "Fri, 16 Dec 2022 07:00:16 GMT", "version": "v3" }, { "created": "Tue, 9 May 2023 20:13:37 GMT", "version": "v4" } ]

2023-06-07

[ [ "Yadav", "Gopal", "" ], [ "Misra", "Aalok", "" ] ]

Obtaining the Page curve in the context of eternal black holes associated with top-down non-conformal holographic thermal duals at intermediate coupling, has been entirely unexplored in the literature. We fill this gap in the context of a doubly holographic setup relevant to the M-theory dual of thermal QCD-like theories at $T>T_c$ at intermediate coupling. Remarkably, excluding the higher derivative terms, the entanglement entropy(EE) of the Hawking radiation from the on-shell Wald EE (for appropriate choices of constants of integration appearing in the embeddings) increases almost linearly with the boundary time due to dominance of EE contribution from the Hartman-Maldacena(HM)-like surface $S_{EE}^{HM, \beta^0}, \beta\sim l_p^6$. Curiously, this imparts a "Swiss-Cheese" structure to the surface $S_{EE}^{HM, \beta^0}$ at a given time (less than the Page time $t_{P}$), in $\mathbb{R}_{\geq0} \times \mathbb{C}$ effecting what could be dubbed as a "Large N Scenario" (LNS). Then, after $t_{P}$, the EE contribution from the Island Surface (IS) $S_{EE}^{IS, \beta^0}$ dominates and saturates the linear time growth of the EE of Hawking radiation and leads to the Page curve. Requiring $S_{EE}^{IS, \beta^0}/S_{BH}\sim2$ up to LO in the non-conformal analog of "$c G_N^{(11)}/r_h^9$", and positivity of $t_{P}$, set respectively a lower and upper bound on the horizon radius $r_h$ (the non-extremality parameter). With the inclusion of the $O(R^4)$ terms in M theory, the turning point associated with the HM-like surface/IS being in the deep IR, results in a relationship between $l_p$ and $r_h$ along with a conjectural $e^{-{\cal O}(1) N^{1/3}}$-suppression (motivated by $S_{EE}^{IS, \beta^0}/S_{BH}\sim2$). We obtain a hierarchy with respect to this N-dependent exponential in $S_{EE}^{HM, \beta^0}, S_{EE}^{IS, \beta^0} (O(\beta^0))$ and $S_{EE}^{HM, \beta}, S_{EE}^{HM, \beta} (O(\beta))$.

9.072062

9.68049

10.02607

9.033722

9.223814

9.510226

9.373525

9.393999

9.055021

10.354406

8.924426

8.795063

9.15946

8.676063

8.781159

8.740462

8.752288

8.698606

8.540683

8.911505

8.744812

hep-th/0402001

Ashok Das

Ashok Das, Jorge Gamboa, Fernando M\'endez and Justo L\'opez-Sarri\'on

Chiral bosonization for non-commutative fields

16 pages, JHEP style, version published in JHEP

JHEP0405:022,2004

10.1088/1126-6708/2004/05/022

null

hep-th

null

A model of chiral bosons on a non-commutative field space is constructed and new generalized bosonization (fermionization) rules for these fields are given. The conformal structure of the theory is characterized by a level of the Kac-Moody algebra equal to $(1+ \theta^2)$ where $\theta$ is the non-commutativity parameter and chiral bosons living in a non-commutative fields space are described by a rational conformal field theory with the central charge of the Virasoro algebra equal to 1. The non-commutative chiral bosons are shown to correspond to a free fermion moving with a speed equal to $ c^{\prime} = c \sqrt{1+\theta^2} $ where $c$ is the speed of light. Lorentz invariance remains intact if $c$ is rescaled by $c \to c^{\prime}$. The dispersion relation for bosons and fermions, in this case, is given by $\omega = c^{\prime} | k|$.

[ { "created": "Mon, 2 Feb 2004 19:10:43 GMT", "version": "v1" }, { "created": "Sat, 29 May 2004 11:01:24 GMT", "version": "v2" } ]

2009-11-10

[ [ "Das", "Ashok", "" ], [ "Gamboa", "Jorge", "" ], [ "Méndez", "Fernando", "" ], [ "López-Sarrión", "Justo", "" ] ]

A model of chiral bosons on a non-commutative field space is constructed and new generalized bosonization (fermionization) rules for these fields are given. The conformal structure of the theory is characterized by a level of the Kac-Moody algebra equal to $(1+ \theta^2)$ where $\theta$ is the non-commutativity parameter and chiral bosons living in a non-commutative fields space are described by a rational conformal field theory with the central charge of the Virasoro algebra equal to 1. The non-commutative chiral bosons are shown to correspond to a free fermion moving with a speed equal to $ c^{\prime} = c \sqrt{1+\theta^2} $ where $c$ is the speed of light. Lorentz invariance remains intact if $c$ is rescaled by $c \to c^{\prime}$. The dispersion relation for bosons and fermions, in this case, is given by $\omega = c^{\prime} | k|$.

5.518041

5.475532

5.519718

5.118879

5.420585

5.280491

5.425765

5.166716

4.794796

6.100535

5.072269

5.157171

5.38495

5.046547

5.006074

4.897959

4.998142

4.973557

5.186262

5.242599

4.994932

1412.3460

Lorenzo G. Vitale Mr.

Slava Rychkov, Lorenzo G. Vitale

Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions

41 pages, 27 pictures. Python code included with submission; v2: improved discussion of the work of Coser et al; v3: exponentially suppressed correction terms in the finite volume Hamiltonian made explicit; v4: Eq. (4.7) corrected; v5: refs updated; v6: errors corrected in appendix on perturbative checks

Phys. Rev. D 91, 085011 (2015)

10.1103/PhysRevD.91.085011

CERN-PH-TH-2014-254

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

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

We defend the Fock-space Hamiltonian truncation method, which allows to calculate numerically the spectrum of strongly coupled quantum field theories, by putting them in a finite volume and imposing a UV cutoff. The accuracy of the method is improved via an analytic renormalization procedure inspired by the usual effective field theory. As an application, we study the two-dimensional Phi^4 theory for a wide range of couplings. The theory exhibits a quantum phase transition between the symmetry-preserving and symmetry-breaking phases. We extract quantitative predictions for the spectrum and the critical coupling and make contact with previous results from the literature. Future directions to further improve the accuracy of the method and enlarge its scope of applications are outlined.

[ { "created": "Wed, 10 Dec 2014 21:00:12 GMT", "version": "v1" }, { "created": "Tue, 16 Dec 2014 08:35:21 GMT", "version": "v2" }, { "created": "Tue, 17 Feb 2015 16:19:14 GMT", "version": "v3" }, { "created": "Thu, 3 Dec 2015 15:09:11 GMT", "version": "v4" }, { "created": "Fri, 4 Dec 2015 06:59:58 GMT", "version": "v5" }, { "created": "Mon, 20 Aug 2018 13:25:49 GMT", "version": "v6" } ]

2018-08-21

[ [ "Rychkov", "Slava", "" ], [ "Vitale", "Lorenzo G.", "" ] ]

We defend the Fock-space Hamiltonian truncation method, which allows to calculate numerically the spectrum of strongly coupled quantum field theories, by putting them in a finite volume and imposing a UV cutoff. The accuracy of the method is improved via an analytic renormalization procedure inspired by the usual effective field theory. As an application, we study the two-dimensional Phi^4 theory for a wide range of couplings. The theory exhibits a quantum phase transition between the symmetry-preserving and symmetry-breaking phases. We extract quantitative predictions for the spectrum and the critical coupling and make contact with previous results from the literature. Future directions to further improve the accuracy of the method and enlarge its scope of applications are outlined.

9.973409

8.555675

8.92126

7.999662

8.735149

9.164622

8.542692

8.425345

8.042065

9.347497

8.052323

8.460679

8.557057

8.335526

8.653239

8.535943

8.594855

8.300762

8.11895

8.551657

8.709098

hep-th/0301236

Nejat Tevfik Yilmaz

N.T.Yilmaz

Dualisation of the General Scalar Coset in Supergravity Theories

22 pages

Nucl.Phys.B664:357-370,2003

10.1016/S0550-3213(03)00461-9

null

hep-th

null

The dualised formulation of the symmetric space sigma model is peformed for a general scalar coset G/K where G is a maximally non-compact group and K is it's maximal compact subgroup.By using the twisted self-duality condition the general form of the first-order equations are obtained.The results are applied to the example of SL(2,R)/SO(2) scalar manifold of the IIB supergravity.

[ { "created": "Wed, 29 Jan 2003 15:26:35 GMT", "version": "v1" }, { "created": "Thu, 30 Jan 2003 12:09:44 GMT", "version": "v2" }, { "created": "Mon, 21 Jul 2003 13:34:58 GMT", "version": "v3" } ]

2008-11-26

[ [ "Yilmaz", "N. T.", "" ] ]

The dualised formulation of the symmetric space sigma model is peformed for a general scalar coset G/K where G is a maximally non-compact group and K is it's maximal compact subgroup.By using the twisted self-duality condition the general form of the first-order equations are obtained.The results are applied to the example of SL(2,R)/SO(2) scalar manifold of the IIB supergravity.

12.988283

10.419174

12.2297

9.53099

10.853487

11.140988

9.469167

10.595615

10.158865

15.054987

10.615923

10.370158

12.497676

11.238513

10.889121

11.465607

11.335408

10.869225

11.618468

11.97159

10.953295

hep-th/0508207

Louis J. Clavelli

L. Clavelli

Properties of a future susy universe

17 pages, 3 figures; intermediate extensions/revisions available at http://www.bama.ua.edu/~lclavell/Susyria.pdf

Int.J.Mod.Phys. E15 (2006) 1157-1174

10.1142/S0218301306004818

UAHEP053

hep-th astro-ph hep-ph

null

In the string landscape picture, the effective potential is characterized by an enormous number of local minima of which only a minuscule fraction are suitable for the evolution of life. In this "multiverse", random transitions are continually made between the various minima with the most likely transitions being to minima of lower vacuum energy. The inflationary era in the very early universe ended with such a transition to our current phase which is described by a broken supersymmetry and a small, positive vacuum energy. However, it is likely that an exactly supersymmetric (susy) phase of zero vacuum energy as in the original superstring theory also exists and that, at some time in the future, there will be a transition to this susy world. In this article we make some preliminary estimates of the consequences of such a transition.

[ { "created": "Sun, 28 Aug 2005 20:52:18 GMT", "version": "v1" }, { "created": "Fri, 28 Oct 2005 23:51:07 GMT", "version": "v2" } ]

2009-11-11

[ [ "Clavelli", "L.", "" ] ]

In the string landscape picture, the effective potential is characterized by an enormous number of local minima of which only a minuscule fraction are suitable for the evolution of life. In this "multiverse", random transitions are continually made between the various minima with the most likely transitions being to minima of lower vacuum energy. The inflationary era in the very early universe ended with such a transition to our current phase which is described by a broken supersymmetry and a small, positive vacuum energy. However, it is likely that an exactly supersymmetric (susy) phase of zero vacuum energy as in the original superstring theory also exists and that, at some time in the future, there will be a transition to this susy world. In this article we make some preliminary estimates of the consequences of such a transition.

8.729653

8.327948

8.414445

8.14094

8.676029

8.593673

9.897808

7.903569

8.049778

9.785551

8.216346

7.767606

7.885641

7.755447

8.200736

7.737157

7.764655

7.915813

7.759551

8.139514

8.010261

hep-th/0206253

Plamen Bojilov

P. Bozhilov

Probe Branes Dynamics in Nonconstant Background Fields

8 pages, LaTeX, no figures. Talk at First Advanced Research Workshop on Gravity, Astrophysics, and Strings at the Black Sea, Kiten, June 10-16, 2002, Bulgaria. To be published in the proceedings

null

hep-th

null

We consider probe p-branes dynamics in string theory backgrounds of general type. We use an action, which interpolates between Nambu-Goto and Polyakov type actions. This allows us to give a unified description for the tensile and tensionless branes. Firstly, we perform our analysis in the frequently used static gauge. Then, we obtain exact brane solutions in more general gauges. The same approach is used to study the Dirichlet p-brane dynamics and here exact solutions are also found. As an illustration, we apply our results to the brane world scenario in the framework of the mirage cosmology approach.

[ { "created": "Fri, 28 Jun 2002 10:35:33 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bozhilov", "P.", "" ] ]

We consider probe p-branes dynamics in string theory backgrounds of general type. We use an action, which interpolates between Nambu-Goto and Polyakov type actions. This allows us to give a unified description for the tensile and tensionless branes. Firstly, we perform our analysis in the frequently used static gauge. Then, we obtain exact brane solutions in more general gauges. The same approach is used to study the Dirichlet p-brane dynamics and here exact solutions are also found. As an illustration, we apply our results to the brane world scenario in the framework of the mirage cosmology approach.

9.370951

8.165505

10.551349

8.700686

8.525364

8.50575

8.010221

8.61147

8.625084

10.064946

8.387023

8.597188

9.151944

8.651102

8.66622

8.399748

8.560566

8.512601

8.521387

9.337716

8.564359

1812.06843

Hideo Suganuma

Hideo Suganuma (Kyoto U.)

Non-Abelian Higgs Theory in a Strong Magnetic Field and Confinement

8 pages, 2 figures

null

hep-th hep-ph

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

The non-abelian Higgs (NAH) theory is studied in a strong magnetic field. For simplicity, we study the SU(2) NAH theory with the Higgs triplet in a constant strong magnetic field $\vec B$, where the lowest-Landau-level (LLL) approximation can be used. Without magnetic fields, charged vector fields $A_\mu^\pm$ have a large mass $M$ due to Higgs condensation, while the photon field $A_\mu$ remains to be massless. In a strong constant magnetic field near and below the critical value $eB_c \equiv M^2$, the charged vector fields $A_\mu^\pm$ behave as 1+1-dimensional quasi-massless fields, and give a strong correlation along the magnetic-field direction between off-diagonal charges coupled with $A_\mu^\pm$. This may lead a new type of confinement caused by charged vector fields $A_\mu^\pm$.

[ { "created": "Mon, 17 Dec 2018 15:36:09 GMT", "version": "v1" } ]

2018-12-18

[ [ "Suganuma", "Hideo", "", "Kyoto U." ] ]

The non-abelian Higgs (NAH) theory is studied in a strong magnetic field. For simplicity, we study the SU(2) NAH theory with the Higgs triplet in a constant strong magnetic field $\vec B$, where the lowest-Landau-level (LLL) approximation can be used. Without magnetic fields, charged vector fields $A_\mu^\pm$ have a large mass $M$ due to Higgs condensation, while the photon field $A_\mu$ remains to be massless. In a strong constant magnetic field near and below the critical value $eB_c \equiv M^2$, the charged vector fields $A_\mu^\pm$ behave as 1+1-dimensional quasi-massless fields, and give a strong correlation along the magnetic-field direction between off-diagonal charges coupled with $A_\mu^\pm$. This may lead a new type of confinement caused by charged vector fields $A_\mu^\pm$.

6.791175

7.24532

6.53148

6.298222

6.980634

7.125234

6.716867

6.987311

6.263211

6.732987

6.59433

6.633462

6.469262

6.3199

6.566249

6.50667

6.606064

6.577075

6.410117

6.709679

6.362949

0811.1583

Robert Richter

L. E. Ibanez, R. Richter

Stringy Instantons and Yukawa Couplings in MSSM-like Orientifold Models

33 pages, 8 figures, v2: corrected typos, added references

JHEP 0903:090,2009

10.1088/1126-6708/2009/03/090

IFT-UAM/CSIC-08-74, UPR-1202-T

hep-th hep-ph

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

Type IIA orientifold constructions with intersecting D6-branes and their IIB duals in terms of magnetized D9/D7-branes constitute one of the most promising avenues for the construction of semirealistic MSSM-like compactifications. One generic problem with these constructions is, that there are many Yukawa couplings, which vanish due to additional U(1) symmetries in the theory. In this paper we consider a number of such settings and study, under what conditions stringy instanton effects can give rise to non-perturbative contributions to the Yukawa couplings, so that all perturbatively forbidden terms are induced. We find specific settings, in which indeed Yukawa couplings for all fermions are obtained. For some cases we provide specific local examples of rigid O(1) Instantons within the T^6/ Z2 x Z2' toroidal orientifold with torsion, giving rise to the required amplitudes. A potential problem in these settings is, that the same instantons, providing for Yukawa coupling contributions, may give rise to too large mu-terms for the Higgs multiplets. We show how this problem may be overcome in explicit models with a doubled Higgs system.

[ { "created": "Mon, 10 Nov 2008 23:00:11 GMT", "version": "v1" }, { "created": "Wed, 10 Dec 2008 21:12:26 GMT", "version": "v2" } ]

2009-04-02

[ [ "Ibanez", "L. E.", "" ], [ "Richter", "R.", "" ] ]

Type IIA orientifold constructions with intersecting D6-branes and their IIB duals in terms of magnetized D9/D7-branes constitute one of the most promising avenues for the construction of semirealistic MSSM-like compactifications. One generic problem with these constructions is, that there are many Yukawa couplings, which vanish due to additional U(1) symmetries in the theory. In this paper we consider a number of such settings and study, under what conditions stringy instanton effects can give rise to non-perturbative contributions to the Yukawa couplings, so that all perturbatively forbidden terms are induced. We find specific settings, in which indeed Yukawa couplings for all fermions are obtained. For some cases we provide specific local examples of rigid O(1) Instantons within the T^6/ Z2 x Z2' toroidal orientifold with torsion, giving rise to the required amplitudes. A potential problem in these settings is, that the same instantons, providing for Yukawa coupling contributions, may give rise to too large mu-terms for the Higgs multiplets. We show how this problem may be overcome in explicit models with a doubled Higgs system.

9.721683

8.498364

9.188882

8.684206

9.002324

8.772265

8.976729

8.642149

8.476943

10.500892

8.375375

8.402012

8.479843

8.268332

8.404019

8.50404

8.598299

8.566043

8.506877

9.092649

8.453626

2205.12293

Miguel Montero

Miguel Montero, Cumrun Vafa, Irene Valenzuela

The Dark Dimension and the Swampland

13 pages + refs; 2 figures. v2: further details and references added; v3: Published version

J. High Energ. Phys. 2023, 22 (2023)

10.1007/JHEP02(2023)022

null

hep-th hep-ph

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

Motivated by principles from the Swampland program, which characterize requirements for a consistent UV completion of quantum gravity, combined with observational data, we are led to a unique corner of the quantum gravity landscape. In particular, using the Distance/Duality conjecture and the smallness of dark energy, we predict the existence of a light tower of states and a unique extra mesoscopic dimension of length $l\sim \Lambda^{-\frac{1}{4}}\sim 10^{-6}\, m$, with extra massless fermions propagating on it. This automatically leads to a candidate for a tower of sterile neutrinos, and an associated active neutrino mass scale $m_{\nu}\sim \langle H\rangle^2\, \Lambda^{-\frac{1}{12}}M_{pl}^{-\frac{2}{3}}$. Moreover, assuming the mechanism for stabilization of this dark dimension leads to similar masses for active and sterile neutrinos we are led to the prediction of a Higgs vev $\langle H\rangle \sim \Lambda^{\frac{1}{6}}M_{pl}^{\frac{1}{3}}$. Another prediction of the scenario is a species scale ${\hat M} \sim \Lambda^ {\frac{1}{12}}M_{pl}^{\frac{2}{3}}\sim 10^{9}-10^{10} GeV$, corresponding to the higher-dimensional Planck scale. This energy scale may be related to the resolution of the instability of the Higgs effective potential present at a scale of $\sim 10^{11}\, GeV$. We also speculate about the interplay between this energy scale and the GZK limit on ultra-high energy cosmic rays.

[ { "created": "Tue, 24 May 2022 18:03:30 GMT", "version": "v1" }, { "created": "Tue, 30 Aug 2022 15:06:34 GMT", "version": "v2" }, { "created": "Fri, 3 Mar 2023 16:04:43 GMT", "version": "v3" } ]

2023-03-06

[ [ "Montero", "Miguel", "" ], [ "Vafa", "Cumrun", "" ], [ "Valenzuela", "Irene", "" ] ]

Motivated by principles from the Swampland program, which characterize requirements for a consistent UV completion of quantum gravity, combined with observational data, we are led to a unique corner of the quantum gravity landscape. In particular, using the Distance/Duality conjecture and the smallness of dark energy, we predict the existence of a light tower of states and a unique extra mesoscopic dimension of length $l\sim \Lambda^{-\frac{1}{4}}\sim 10^{-6}\, m$, with extra massless fermions propagating on it. This automatically leads to a candidate for a tower of sterile neutrinos, and an associated active neutrino mass scale $m_{\nu}\sim \langle H\rangle^2\, \Lambda^{-\frac{1}{12}}M_{pl}^{-\frac{2}{3}}$. Moreover, assuming the mechanism for stabilization of this dark dimension leads to similar masses for active and sterile neutrinos we are led to the prediction of a Higgs vev $\langle H\rangle \sim \Lambda^{\frac{1}{6}}M_{pl}^{\frac{1}{3}}$. Another prediction of the scenario is a species scale ${\hat M} \sim \Lambda^ {\frac{1}{12}}M_{pl}^{\frac{2}{3}}\sim 10^{9}-10^{10} GeV$, corresponding to the higher-dimensional Planck scale. This energy scale may be related to the resolution of the instability of the Higgs effective potential present at a scale of $\sim 10^{11}\, GeV$. We also speculate about the interplay between this energy scale and the GZK limit on ultra-high energy cosmic rays.

7.206938

7.159412

6.756294

6.532029

6.619964

6.74

6.631897

6.567561

6.551602

7.374468

6.489907

6.694362

6.913656

6.641603

6.675714

6.917572

6.808591

6.69919

6.660005

6.817832

6.902678

hep-th/0210220

Andrei Starinets

G.Policastro, D.T.Son and A.O.Starinets

From AdS/CFT correspondence to hydrodynamics. II. Sound waves

18 pages, 2 figures; typos in eqs. 3.4d and 3.5d corrected

JHEP 0212:054,2002

10.1088/1126-6708/2002/12/054

DAMTP-2002-129, INT-PUB-02-47

hep-th gr-qc hep-ph

null

As a non-trivial check of the non-supersymmetric gauge/gravity duality, we use a near-extremal black brane background to compute the retarded Green's functions of the stress-energy tensor in N=4 super-Yang-Mills (SYM) theory at finite temperature. For the long-distance, low-frequency modes of the diagonal components of the stress-energy tensor, hydrodynamics predicts the existence of a pole in the correlators corresponding to propagation of sound waves in the N=4 SYM plasma. The retarded Green's functions obtained from gravity do indeed exhibit this pole, with the correct values for the sound speed and the rate of attenuation.

[ { "created": "Tue, 22 Oct 2002 22:12:28 GMT", "version": "v1" }, { "created": "Fri, 31 Jan 2003 01:20:09 GMT", "version": "v2" }, { "created": "Tue, 26 Jul 2005 01:21:02 GMT", "version": "v3" } ]

2009-07-09

[ [ "Policastro", "G.", "" ], [ "Son", "D. T.", "" ], [ "Starinets", "A. O.", "" ] ]

As a non-trivial check of the non-supersymmetric gauge/gravity duality, we use a near-extremal black brane background to compute the retarded Green's functions of the stress-energy tensor in N=4 super-Yang-Mills (SYM) theory at finite temperature. For the long-distance, low-frequency modes of the diagonal components of the stress-energy tensor, hydrodynamics predicts the existence of a pole in the correlators corresponding to propagation of sound waves in the N=4 SYM plasma. The retarded Green's functions obtained from gravity do indeed exhibit this pole, with the correct values for the sound speed and the rate of attenuation.

5.792833

4.71383

6.648732

4.948215

4.658339

4.626732

4.649426

4.710332

5.072239

6.728177

4.839769

4.821549

5.380141

5.015087

4.866067

4.940392

4.945086

5.01674

4.841217

5.438737

5.019727

hep-th/9809068

Ryu Sasaki

A.J. Bordner (YITP, Kyoto), R. Sasaki (YITP, Kyoto) and K. Takasaki (Dept. Fund. Sci., Kyoto)

Calogero-Moser Models II: Symmetries and Foldings

36 pages, LaTeX2e with amsfonts.sty, no figures

Prog.Theor.Phys. 101 (1999) 487-518

10.1143/PTP.101.487

YITP-98-60, KUCP-0121

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

null

Universal Lax pairs (the root type and the minimal type) are presented for Calogero-Moser models based on simply laced root systems, including E_8. They exist with and without spectral parameter and they work for all of the four choices of potentials: the rational, trigonometric, hyperbolic and elliptic. For the elliptic potential, the discrete symmetries of the simply laced models, originating from the automorphism of the extended Dynkin diagrams, are combined with the periodicity of the potential to derive a class of Calogero-Moser models known as the `twisted non-simply laced models'. For untwisted non-simply laced models, two kinds of root type Lax pairs (based on long roots and short roots) are derived which contain independent coupling constants for the long and short roots. The BC_n model contains three independent couplings, for the long, middle and short roots. The G_2 model based on long roots exhibits a new feature which deserves further study.

[ { "created": "Thu, 10 Sep 1998 08:20:14 GMT", "version": "v1" }, { "created": "Mon, 26 Oct 1998 08:40:52 GMT", "version": "v2" }, { "created": "Tue, 22 Dec 1998 08:19:08 GMT", "version": "v3" } ]

2009-10-31

[ [ "Bordner", "A. J.", "", "YITP, Kyoto" ], [ "Sasaki", "R.", "", "YITP, Kyoto" ], [ "Takasaki", "K.", "", "Dept. Fund. Sci., Kyoto" ] ]

Universal Lax pairs (the root type and the minimal type) are presented for Calogero-Moser models based on simply laced root systems, including E_8. They exist with and without spectral parameter and they work for all of the four choices of potentials: the rational, trigonometric, hyperbolic and elliptic. For the elliptic potential, the discrete symmetries of the simply laced models, originating from the automorphism of the extended Dynkin diagrams, are combined with the periodicity of the potential to derive a class of Calogero-Moser models known as the `twisted non-simply laced models'. For untwisted non-simply laced models, two kinds of root type Lax pairs (based on long roots and short roots) are derived which contain independent coupling constants for the long and short roots. The BC_n model contains three independent couplings, for the long, middle and short roots. The G_2 model based on long roots exhibits a new feature which deserves further study.

8.008163

7.997836

9.993016

7.623032

8.204734

7.857023

8.085131

7.661547

7.046569

10.201736

7.58229

7.581518

8.168539

7.793108

7.638081

7.785825

7.492297

7.528021

7.657566

8.123165

7.735743

hep-th/9703012

null

N. Khviengia, Z. Khviengia, H. Lu and C.N. Pope

Towards a Field Theory of F-theory

Latex, 21 pages. Typos corrected, references added, and discussion extended

Class.Quant.Grav.15:759-773,1998

10.1088/0264-9381/15/4/005

CTP-TAMU-13/97, LPTENS-97/07

hep-th

null

We make a proposal for a bosonic field theory in twelve dimensions that admits the bosonic sector of eleven-dimensional supergravity as a consistent truncation. It can also be consistently truncated to a ten-dimensional Lagrangian that contains all the BPS p-brane solitons of the type IIB theory. The mechanism allowing the consistent truncation in the latter case is unusual, in that additional fields with an off-diagonal kinetic term are non-vanishing and yet do not contribute to the dynamics of the ten-dimensional theory. They do, however, influence the oxidation of solutions back to twelve dimensions. We present a discussion of the oxidations of all the basic BPS solitons of M-theory and the type IIB string to D=12. In particular, the NS-NS and R-R strings of the type IIB theory arise as the wrappings of membranes in D=12 around one or other circle of the compactifying 2-torus.

[ { "created": "Sun, 2 Mar 1997 18:17:45 GMT", "version": "v1" }, { "created": "Sat, 8 Mar 1997 23:16:42 GMT", "version": "v2" } ]

2009-10-07

[ [ "Khviengia", "N.", "" ], [ "Khviengia", "Z.", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ] ]

We make a proposal for a bosonic field theory in twelve dimensions that admits the bosonic sector of eleven-dimensional supergravity as a consistent truncation. It can also be consistently truncated to a ten-dimensional Lagrangian that contains all the BPS p-brane solitons of the type IIB theory. The mechanism allowing the consistent truncation in the latter case is unusual, in that additional fields with an off-diagonal kinetic term are non-vanishing and yet do not contribute to the dynamics of the ten-dimensional theory. They do, however, influence the oxidation of solutions back to twelve dimensions. We present a discussion of the oxidations of all the basic BPS solitons of M-theory and the type IIB string to D=12. In particular, the NS-NS and R-R strings of the type IIB theory arise as the wrappings of membranes in D=12 around one or other circle of the compactifying 2-torus.

8.027208

7.694083

9.086646

7.970805

8.067191

7.588057

7.666652

7.892333

8.283453

9.578046

7.621887

7.679121

8.075091

8.010085

7.849521

7.980694

7.852227

7.627279

7.691273

7.898404

7.653313

0812.4908

Alexander Burinskii

Twistor String Structure of the Kerr-Schild Geometry and Consistency of the Dirac-Kerr System

11 p. 2 figs. Dedicated to Jubilee of Prof. S.D.Odintsov, based on the talk at the 5th Math. Phys. Meeting, July 2008, Belgrad

THE PROBLEMS OF MODERN COSMOLOGY. A volume in honour of Professor S.D. Odintsov in the occasion of his 50 th birthday. pp.129-136, Tomsk, 2009

null

hep-th gr-qc quant-ph

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

Kerr-Schild (KS) geometry of the rotating black-holes and spinning particles is based on the associated with Kerr theorem twistor structure which is defined by an analytic curve $F(Z)=0$ in the projective twistor space $Z \in CP^3 .$ On the other hand, there is a complex Newman representation which describes the source of Kerr-Newman solution as a "particle" propagating along a complex world-line $X(\t)\in CM^4,$ and this world-line determines the parameters of the Kerr generating function $F(Z).$ The complex world line is really a world-sheet, $\t= t + i \sigma,$ and the Kerr source may be considered as a complex Euclidean string extended in the imaginary time direction $\sigma$. The Kerr twistor structure turns out to be adjoined to the Kerr complex string source, forming a natural twistor-string construction similar to the Nair-Witten twistor-string. We show that twistor polarization of the Kerr-Newman solution may be matched with the {\it massless} solutions of the Dirac equation, providing consistency of the Dirac-Kerr model of spinning particle (electron). It allows us to extend the Nair-Witten concept on the scattering of the gauge amplitudes in twistor space to include massive KS particles.

[ { "created": "Mon, 29 Dec 2008 14:08:49 GMT", "version": "v1" } ]

2009-03-04

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

Kerr-Schild (KS) geometry of the rotating black-holes and spinning particles is based on the associated with Kerr theorem twistor structure which is defined by an analytic curve $F(Z)=0$ in the projective twistor space $Z \in CP^3 .$ On the other hand, there is a complex Newman representation which describes the source of Kerr-Newman solution as a "particle" propagating along a complex world-line $X(\t)\in CM^4,$ and this world-line determines the parameters of the Kerr generating function $F(Z).$ The complex world line is really a world-sheet, $\t= t + i \sigma,$ and the Kerr source may be considered as a complex Euclidean string extended in the imaginary time direction $\sigma$. The Kerr twistor structure turns out to be adjoined to the Kerr complex string source, forming a natural twistor-string construction similar to the Nair-Witten twistor-string. We show that twistor polarization of the Kerr-Newman solution may be matched with the {\it massless} solutions of the Dirac equation, providing consistency of the Dirac-Kerr model of spinning particle (electron). It allows us to extend the Nair-Witten concept on the scattering of the gauge amplitudes in twistor space to include massive KS particles.

12.955991

13.120803

13.216921

11.744123

13.145624

12.931722

13.11947

12.184466

12.264415

14.635729

11.835807

12.601278

12.659647

12.557687

12.964884

12.955654

12.518727

12.122186

12.629253

12.73536

12.230365

hep-th/0605167

Rachid Ahl Laamara

R. Ahl Laamara, L.B Drissi, H. Jehjouh, E H Saidi

Pure fermionic twistor like model & target space supersymmetry

null

hep-th

null

Using world line fermions $\Upsilon_{\pm}^{m}=\Upsilon_{\pm}^{m}(\tau) $ valued in vector representation of $SO(d,4-d) $ with $d=2,3,4,$ we develop a pure fermionic analog of Penrose twistor construction. First, we show that Fermi antisymmetry requiring $(\Upsilon_{\pm}^{m}) ^{2}=0$ can be solved by using twistor like variables. Then we study the corresponding dual twistor like field action and show that quantum spectrum exhibits naturally 4D $\mathcal{N}=1$ target space supersymmetry. Higher spin world line field solutions of the constraint $(\Pi_{s}^{m}) ^{2}=0$, $s\in \mathbb{Z}$ are also discussed.

[ { "created": "Wed, 17 May 2006 13:25:34 GMT", "version": "v1" } ]

2007-05-23

[ [ "Laamara", "R. Ahl", "" ], [ "Drissi", "L. B", "" ], [ "Jehjouh", "H.", "" ], [ "Saidi", "E H", "" ] ]

Using world line fermions $\Upsilon_{\pm}^{m}=\Upsilon_{\pm}^{m}(\tau) $ valued in vector representation of $SO(d,4-d) $ with $d=2,3,4,$ we develop a pure fermionic analog of Penrose twistor construction. First, we show that Fermi antisymmetry requiring $(\Upsilon_{\pm}^{m}) ^{2}=0$ can be solved by using twistor like variables. Then we study the corresponding dual twistor like field action and show that quantum spectrum exhibits naturally 4D $\mathcal{N}=1$ target space supersymmetry. Higher spin world line field solutions of the constraint $(\Pi_{s}^{m}) ^{2}=0$, $s\in \mathbb{Z}$ are also discussed.

12.615948

11.288145

11.948051

11.235435

12.018534

11.314472

11.608094

11.532954

11.516131

13.348582

11.713499

10.906454

12.019786

10.832455

10.988454

10.925508

11.180567

11.101227

10.697317

12.298313

11.02055

0906.4926

Balt van Rees

Kostas Skenderis, Marika Taylor, Balt C. van Rees

Topologically Massive Gravity and the AdS/CFT Correspondence

54 pages, v2: added comments and references

JHEP 0909:045,2009

10.1088/1126-6708/2009/09/045

null

hep-th

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

We set up the AdS/CFT correspondence for topologically massive gravity (TMG) in three dimensions. The first step in this procedure is to determine the appropriate fall off conditions at infinity. These cannot be fixed a priori as they depend on the bulk theory under consideration and are derived by solving asymptotically the non-linear field equations. We discuss in detail the asymptotic structure of the field equations for TMG, showing that it contains leading and subleading logarithms, determine the map between bulk fields and CFT operators, obtain the appropriate counterterms needed for holographic renormalization and compute holographically one- and two-point functions at and away from the 'chiral point' (mu = 1). The 2-point functions at the chiral point are those of a logarithmic CFT (LCFT) with c_L = 0, c_R = 3l/G_N and b = -3l/G_N, where b is a parameter characterizing different c = 0 LCFTs. The bulk correlators away from the chiral point (mu \neq 1) smoothly limit to the LCFT ones as mu \to 1. Away from the chiral point, the CFT contains a state of negative norm and the expectation value of the energy momentum tensor in that state is also negative, reflecting a corresponding bulk instability due to negative energy modes.

[ { "created": "Fri, 26 Jun 2009 13:23:52 GMT", "version": "v1" }, { "created": "Wed, 5 Aug 2009 13:41:11 GMT", "version": "v2" } ]

2009-09-29

[ [ "Skenderis", "Kostas", "" ], [ "Taylor", "Marika", "" ], [ "van Rees", "Balt C.", "" ] ]

We set up the AdS/CFT correspondence for topologically massive gravity (TMG) in three dimensions. The first step in this procedure is to determine the appropriate fall off conditions at infinity. These cannot be fixed a priori as they depend on the bulk theory under consideration and are derived by solving asymptotically the non-linear field equations. We discuss in detail the asymptotic structure of the field equations for TMG, showing that it contains leading and subleading logarithms, determine the map between bulk fields and CFT operators, obtain the appropriate counterterms needed for holographic renormalization and compute holographically one- and two-point functions at and away from the 'chiral point' (mu = 1). The 2-point functions at the chiral point are those of a logarithmic CFT (LCFT) with c_L = 0, c_R = 3l/G_N and b = -3l/G_N, where b is a parameter characterizing different c = 0 LCFTs. The bulk correlators away from the chiral point (mu \neq 1) smoothly limit to the LCFT ones as mu \to 1. Away from the chiral point, the CFT contains a state of negative norm and the expectation value of the energy momentum tensor in that state is also negative, reflecting a corresponding bulk instability due to negative energy modes.

6.533776

6.495568

7.380354

6.124514

6.814827

6.79621

6.579402

6.736012

6.330953

7.672785

6.241892

6.587517

6.696553

6.321455

6.46002

6.530996

6.468192

6.348241

6.309193

6.536182

6.264329

hep-th/0305136

Anton Kapustin

Anton Kapustin, Yi Li

Topological Correlators in Landau-Ginzburg Models with Boundaries

21 pages, latex. v2: minor typos corrected, references added. v3: a couple minor corrections, reference added

Adv.Theor.Math.Phys.7:727-749,2004

null

hep-th math.AG

null

We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of type B. We also allow arbitrary operator insertions on the boundary and in the bulk. The answer is given by an explicit formula which can be regarded as an open-string generalization of C. Vafa's formula for closed-string topological correlators. We discuss how to extend our results to the case of Landau-Ginzburg orbifolds.

[ { "created": "Fri, 16 May 2003 07:01:44 GMT", "version": "v1" }, { "created": "Sat, 31 May 2003 00:33:41 GMT", "version": "v2" }, { "created": "Fri, 13 Jun 2003 17:50:30 GMT", "version": "v3" }, { "created": "Tue, 23 Dec 2003 21:02:50 GMT", "version": "v4" } ]

2008-11-26

[ [ "Kapustin", "Anton", "" ], [ "Li", "Yi", "" ] ]

We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of type B. We also allow arbitrary operator insertions on the boundary and in the bulk. The answer is given by an explicit formula which can be regarded as an open-string generalization of C. Vafa's formula for closed-string topological correlators. We discuss how to extend our results to the case of Landau-Ginzburg orbifolds.

6.306809

5.574319

7.606562

5.702844

5.831148

5.629666

5.700004

5.835021

6.03201

9.60661

5.678236

5.996008

7.052395

5.913581

6.017729

5.983318

6.257636

6.151329

5.863243

6.669421

5.765091

2306.17192

Tal Miller

The conformal manifold of three dimensional $\mathcal{N}=4$ supersymmetric star-shaped-quiver theories

Masters thesis

null

hep-th

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

In this thesis we calculate the dimension of the conformal manifold (DCM) for a class of 3d $\mathcal{N}=4$ supersymmetric theories called the star-shaped-quiver (SSQ) theories. These theories are the mirror dual theories of class $\mathfrak{s}$ theories, constructed as a compactification of the 4d class $\mathcal{S}$ theories on a circle $\mathbb{S}^{1}$. The 4d class $\mathcal{S}$ theories themselves are constructed as a compactification of the 6d $\mathcal{N}=\left(2,0\right)$ superconformal field theories on a Riemann surface $C_{g,s}$ (with genus $g$ and $s$ punctures). The IR fixed point of these theories can be strongly coupled, and an interesting probe of the fixed point is the conformal manifold, the space of all exactly marginal deformations. The supersymmetric index is a tool, developed in recent years, that allows to calculate the DCM for supersymmetric theories. The index encodes within it the exactly marginal operators, but to deduce the DCM involves a few more tools that transform the problem into a group-theoretic one. We employ these tools for the SSQ theories, first calculate the supersymmetric index and then calculate the DCM. Our results are that the DCM of the 3d SSQ (or class $\mathfrak{s}$) theories scales as $\sim g^{4}$ and $\sim s^{2}$, which is significanly larger that the DCM of the related 4d class $\mathcal{S}$ theories which scales linearly with $g$ and $s$.

[ { "created": "Wed, 28 Jun 2023 08:33:44 GMT", "version": "v1" } ]

2023-07-03

[ [ "Miller", "Tal", "" ] ]

In this thesis we calculate the dimension of the conformal manifold (DCM) for a class of 3d $\mathcal{N}=4$ supersymmetric theories called the star-shaped-quiver (SSQ) theories. These theories are the mirror dual theories of class $\mathfrak{s}$ theories, constructed as a compactification of the 4d class $\mathcal{S}$ theories on a circle $\mathbb{S}^{1}$. The 4d class $\mathcal{S}$ theories themselves are constructed as a compactification of the 6d $\mathcal{N}=\left(2,0\right)$ superconformal field theories on a Riemann surface $C_{g,s}$ (with genus $g$ and $s$ punctures). The IR fixed point of these theories can be strongly coupled, and an interesting probe of the fixed point is the conformal manifold, the space of all exactly marginal deformations. The supersymmetric index is a tool, developed in recent years, that allows to calculate the DCM for supersymmetric theories. The index encodes within it the exactly marginal operators, but to deduce the DCM involves a few more tools that transform the problem into a group-theoretic one. We employ these tools for the SSQ theories, first calculate the supersymmetric index and then calculate the DCM. Our results are that the DCM of the 3d SSQ (or class $\mathfrak{s}$) theories scales as $\sim g^{4}$ and $\sim s^{2}$, which is significanly larger that the DCM of the related 4d class $\mathcal{S}$ theories which scales linearly with $g$ and $s$.

4.656882

4.714715

5.38101

4.455696

4.760302

4.557129

4.77054

4.693872

4.663037

5.308851

4.685171

4.453084

4.774886

4.568861

4.535609

4.556137

4.591322

4.433268

4.517136

4.651534

4.490221

1110.5902

David Tong

Stefano Bolognesi and David Tong

Magnetic Catalysis in AdS4

22 pages, 4 figures. v2: References added, factors of 2 corrected, extra comments added in appendix. v3: extra comments about fermion modes in a hard wall background. v4: A final factor of 2

null

10.1088/0264-9381/29/19/194003

null

hep-th

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

We study the formation of fermion condensates in Anti de Sitter space. In particular, we describe a novel version of magnetic catalysis that arises for fermions in asymptotically AdS4 geometries which cap off in the infra-red with a hard wall. We show that the presence of a magnetic field induces a fermion condensate in the bulk that spontaneously breaks CP symmetry. From the perspective of the dual boundary theory, this corresponds to a strongly coupled version of magnetic catalysis in d=2+1.

[ { "created": "Wed, 26 Oct 2011 19:58:22 GMT", "version": "v1" }, { "created": "Sat, 19 Nov 2011 10:43:23 GMT", "version": "v2" }, { "created": "Tue, 17 Jan 2012 14:01:16 GMT", "version": "v3" }, { "created": "Thu, 26 Apr 2012 19:32:29 GMT", "version": "v4" } ]

2015-05-30

[ [ "Bolognesi", "Stefano", "" ], [ "Tong", "David", "" ] ]

We study the formation of fermion condensates in Anti de Sitter space. In particular, we describe a novel version of magnetic catalysis that arises for fermions in asymptotically AdS4 geometries which cap off in the infra-red with a hard wall. We show that the presence of a magnetic field induces a fermion condensate in the bulk that spontaneously breaks CP symmetry. From the perspective of the dual boundary theory, this corresponds to a strongly coupled version of magnetic catalysis in d=2+1.

7.066895

6.22918

7.309443

6.266444

6.501536

6.663365

5.997717

6.049128

6.451971

7.015281

6.417453

6.675477

6.800681

6.610504

6.532259

6.788908

6.599764

6.767444

6.386833

6.951637

6.50863

1408.2540

Roberto Gobbetti

Guido D'Amico, Roberto Gobbetti, Matthew Kleban, Marjorie Schillo

D-brane scattering and annihilation

25+7 pages, 5 figures

null

10.1007/JHEP01(2015)050

null

hep-th astro-ph.CO

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

We study the dynamics of parallel brane-brane and brane-antibrane scattering in string theory in flat spacetime, focusing on the pair production of open strings that stretch between the branes. We are particularly interested in the case of scattering at small impact parameter $b < l_s$, where there is a tachyon in the spectrum when a brane and an antibrane approach within a string length. Our conclusion is that despite the tachyon, branes and antibranes can pass through each other with only a very small probability of annihilating, so long as $g_s$ is small and the relative velocity $v$ is neither too small nor too close to 1. Our analysis is relevant also to the case of charged open string production in world-volume electric fields, and we make use of this T-dual scenario in our analysis. We briefly discuss the application of our results to a stringy model of inflation involving moving branes.

[ { "created": "Mon, 11 Aug 2014 20:16:19 GMT", "version": "v1" } ]

2015-06-22

[ [ "D'Amico", "Guido", "" ], [ "Gobbetti", "Roberto", "" ], [ "Kleban", "Matthew", "" ], [ "Schillo", "Marjorie", "" ] ]

We study the dynamics of parallel brane-brane and brane-antibrane scattering in string theory in flat spacetime, focusing on the pair production of open strings that stretch between the branes. We are particularly interested in the case of scattering at small impact parameter $b < l_s$, where there is a tachyon in the spectrum when a brane and an antibrane approach within a string length. Our conclusion is that despite the tachyon, branes and antibranes can pass through each other with only a very small probability of annihilating, so long as $g_s$ is small and the relative velocity $v$ is neither too small nor too close to 1. Our analysis is relevant also to the case of charged open string production in world-volume electric fields, and we make use of this T-dual scenario in our analysis. We briefly discuss the application of our results to a stringy model of inflation involving moving branes.

6.843804

7.090087

8.205988

6.646901

7.018368

6.929418

7.088816

6.43654

6.55067

7.638635

6.687334

6.401077

6.940567

6.487255

6.893486

6.564751

6.630337

6.690436

6.563198

6.818805

6.64171

0904.0381

Gorsky Alexander

A. Gorsky and A. Zhiboedov

One-loop derivation of the Wilson polygon - MHV amplitude duality

29 pages

J.Phys.A42:355214,2009

10.1088/1751-8113/42/35/355214

null

hep-th

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

We discuss the origin of the Wilson polygon - MHV amplitude duality at the perturbative level. It is shown that the duality for the MHV amplitudes at one-loop level can be proven upon the peculiar change of variables in Feynman parametrization and the use of the relation between Feynman integrals at the different space-time dimensions. Some generalization of the duality which implies the insertion of the particular vertex operator at the Wilson triangle is found for the 3-point function. We discuss analytical structure of Wilson loop diagrams and present the corresponding Landau equations. The geometrical interpretation of the loop diagram in terms of the hyperbolic geometry is discussed.

[ { "created": "Thu, 2 Apr 2009 13:04:22 GMT", "version": "v1" } ]

2010-12-17

[ [ "Gorsky", "A.", "" ], [ "Zhiboedov", "A.", "" ] ]

We discuss the origin of the Wilson polygon - MHV amplitude duality at the perturbative level. It is shown that the duality for the MHV amplitudes at one-loop level can be proven upon the peculiar change of variables in Feynman parametrization and the use of the relation between Feynman integrals at the different space-time dimensions. Some generalization of the duality which implies the insertion of the particular vertex operator at the Wilson triangle is found for the 3-point function. We discuss analytical structure of Wilson loop diagrams and present the corresponding Landau equations. The geometrical interpretation of the loop diagram in terms of the hyperbolic geometry is discussed.

10.961212

9.941596

11.901638

9.664329

10.873024

10.586058

11.829465

9.760121

10.129856

11.676079

9.802822

10.340985

10.870916

10.354897

10.346725

10.844427

10.67194

10.207505

10.309509

10.913379

10.55045

1106.4566

Hong Lu

Haishan Liu, H. Lu and Zhao-Long Wang

Killing Spinors for the Bosonic String and the Kaluza-Klein Theory with Scalar Potentials

Latex, 17 pages, typos corrected and further comments added

null

10.1140/epjc/s10052-011-1853-5

CAS-KITPC/ITP-271, KIAS-P11036

hep-th

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

The paper consists mainly of two parts. In the first part, we obtain well-defined Killing spinor equations for the low-energy effective action of the bosonic string with the conformal anomaly term. We show that the conformal anomaly term is the only scalar potential that one can add into the action that is consistent with the Killing spinor equations. In the second part, we demonstrate that the Kaluza-Klein theory can be gauged so that the Killing spinors are charged under the Kaluza-Klein vector. This gauging process generates a scalar potential with a maximum that gives rise to an AdS spacetime. We also construct solutions of these theories.

[ { "created": "Wed, 22 Jun 2011 20:39:29 GMT", "version": "v1" }, { "created": "Mon, 22 Aug 2011 08:28:35 GMT", "version": "v2" } ]

2015-05-28

[ [ "Liu", "Haishan", "" ], [ "Lu", "H.", "" ], [ "Wang", "Zhao-Long", "" ] ]

The paper consists mainly of two parts. In the first part, we obtain well-defined Killing spinor equations for the low-energy effective action of the bosonic string with the conformal anomaly term. We show that the conformal anomaly term is the only scalar potential that one can add into the action that is consistent with the Killing spinor equations. In the second part, we demonstrate that the Kaluza-Klein theory can be gauged so that the Killing spinors are charged under the Kaluza-Klein vector. This gauging process generates a scalar potential with a maximum that gives rise to an AdS spacetime. We also construct solutions of these theories.

6.658196

6.277251

6.988785

6.115909

6.449106

6.056177

6.18368

6.015635

6.363499

7.031885

6.153778

6.139105

6.586863

6.426971

6.333128

6.535572

6.207403

6.21722

6.236734

6.454938

6.258593

0909.4081

Thomas S. Levi

Thomas S. Levi, Joris Raeymaekers, Dieter Van den Bleeken, Walter Van Herck, Bert Vercnocke

Godel space from wrapped M2-branes

21 pages+appendices, 3 figures

JHEP 1001:082,2010

10.1007/JHEP01(2010)082

WITS-CTP-041, KUL-TF-09/20

hep-th

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

We show that M-theory admits a supersymmetric compactification to the Godel universe of the form Godel3 x S2 x CY3. We interpret this geometry as coming from the backreaction of M2-branes wrapping the S2 in an AdS3 x S2 x CY3 flux compactification. In the black hole deconstruction proposal similar states give rise to the entropy of a D4-D0 black hole. The system is effectively described by a three-dimensional theory consisting of an axion-dilaton coupled to gravity with a negative cosmological constant. Other embeddings of the three-dimensional theory imply similar supersymmetric Godel compactifications of type IIA/IIB string theory and F-theory.

[ { "created": "Wed, 23 Sep 2009 18:40:43 GMT", "version": "v1" } ]

2010-04-28

[ [ "Levi", "Thomas S.", "" ], [ "Raeymaekers", "Joris", "" ], [ "Bleeken", "Dieter Van den", "" ], [ "Van Herck", "Walter", "" ], [ "Vercnocke", "Bert", "" ] ]

We show that M-theory admits a supersymmetric compactification to the Godel universe of the form Godel3 x S2 x CY3. We interpret this geometry as coming from the backreaction of M2-branes wrapping the S2 in an AdS3 x S2 x CY3 flux compactification. In the black hole deconstruction proposal similar states give rise to the entropy of a D4-D0 black hole. The system is effectively described by a three-dimensional theory consisting of an axion-dilaton coupled to gravity with a negative cosmological constant. Other embeddings of the three-dimensional theory imply similar supersymmetric Godel compactifications of type IIA/IIB string theory and F-theory.

9.07821

8.117398

10.764689

8.120237

7.986759

8.762656

8.897277

8.133101

8.019338

10.607323

8.104553

8.245038

9.347087

8.494234

8.161918

8.595126

7.90159

8.426134

8.118384

9.645437

8.349422

hep-th/9703019

Juan Carlos Perez Bueno

J. A. de Azcarraga, J. M. Izquierdo and J. C. Perez Bueno

On the generalizations of Poisson structures

Latex file. 12 pages. Trivial changes, a misprint (subindices) corrected. To appear in J. Phys. A (letters)

J.Phys. A30 (1997) L607-L616

10.1088/0305-4470/30/18/001

DAMTP/97-12

hep-th dg-ga math.DG math.QA q-alg

null

The characterization of the Nambu-Poisson n-tensors as a subfamily of the Generalized-Poisson ones recently introduced (and here extended to the odd order case) is discussed. The homology and cohomology complexes of both structures are compared, and some physical considerations are made.

[ { "created": "Mon, 3 Mar 1997 18:18:49 GMT", "version": "v1" }, { "created": "Mon, 14 Jul 1997 16:18:09 GMT", "version": "v2" } ]

2009-10-30

[ [ "de Azcarraga", "J. A.", "" ], [ "Izquierdo", "J. M.", "" ], [ "Bueno", "J. C. Perez", "" ] ]

The characterization of the Nambu-Poisson n-tensors as a subfamily of the Generalized-Poisson ones recently introduced (and here extended to the odd order case) is discussed. The homology and cohomology complexes of both structures are compared, and some physical considerations are made.

16.859484

19.485443

17.022306

15.647414

16.472672

19.384476

19.559502

16.251038

15.707121

18.795605

17.67725

16.168083

16.10545

15.525978

16.097668

16.572117

16.657558

16.076151

15.803418

16.510281

15.263508

2006.12924

Eugenio R. Bezerra de Mello

D\^eivid R. da Silva and E. R. Bezerra de Mello

Electromagnetic Casimir effect in a Lorentz symmetry violation model

16 pages, 1 figure

null

hep-th

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

In this paper, we study the electromagnetic Casimir effects in the context of Lorentz symmetry violations. Two distinct approaches are considered: the first one is based on Horava-Lifshitz methodology, which explicitly presents a space-time anisotropy, while the second is a model that includes higher-derivatives in the field strength tensor and a preferential direction in the space-time. We assume that the electromagnetic field obeys the standard boundary conditions on two large parallel plates. Our main objectives are to investigate how the Casimir energy and pressure are modified in both Lorentz violation scenarios.

[ { "created": "Tue, 23 Jun 2020 11:58:51 GMT", "version": "v1" } ]

2020-06-24

[ [ "da Silva", "Dêivid R.", "" ], [ "de Mello", "E. R. Bezerra", "" ] ]

In this paper, we study the electromagnetic Casimir effects in the context of Lorentz symmetry violations. Two distinct approaches are considered: the first one is based on Horava-Lifshitz methodology, which explicitly presents a space-time anisotropy, while the second is a model that includes higher-derivatives in the field strength tensor and a preferential direction in the space-time. We assume that the electromagnetic field obeys the standard boundary conditions on two large parallel plates. Our main objectives are to investigate how the Casimir energy and pressure are modified in both Lorentz violation scenarios.

7.863151

6.382067

7.956131

6.419373

6.508259

6.490874

6.273286

6.608854

6.071262

8.007303

6.550499

6.621124

7.340231

7.020863

7.038873

6.889532

6.867978

6.747003

7.031606

7.453118

6.952465

hep-th/0311040

David H. Lyth

Which is the best inflation model?

To appear in the proceedings of "String Phenomenoloy 03" (Durham, 2003)

null

hep-th

null

Reasonable-looking models of inflation are compared, taking into account the possibility that the curvature perturbation might originate from some "curvaton" field different from the inflaton.

[ { "created": "Wed, 5 Nov 2003 18:15:22 GMT", "version": "v1" } ]

2007-05-23

[ [ "Lyth", "David H.", "" ] ]

Reasonable-looking models of inflation are compared, taking into account the possibility that the curvature perturbation might originate from some "curvaton" field different from the inflaton.

19.0404

13.08775

13.292525

12.77013

16.080986

13.437069

13.645148

12.543349

13.234295

14.000957

15.251586

12.183464

12.703239

12.112334

12.017107

11.9861

11.038486

11.831589

11.655183

12.723335

16.012911

hep-th/0504216

Nikolay Pletnev

I.L. Buchbinder, N.G. Pletnev

Construction of one-loop ${\cal N}=4$ SYM effective action on the mixed branch in the harmonic superspace approach

35 pages, JHEP style

JHEP 0509 (2005) 073

10.1088/1126-6708/2005/09/073

null

hep-th

null

We develop a systematic approach to construct the one-loop ${\cal N}=4$ SYM effective action depending on both ${\cal N}=2$ vector multiplet and hypermultiplet background fields. Beginning with the formulation of ${\cal N}=4$ SYM theory in terms of ${\cal N}=2$ harmonic superfields, we construct the one-loop effective action using the covariant ${\cal N}=2$ harmonic supergraphs and calculate it in ${\cal N}=2$ harmonic superfield form for constant Abelian strength $F_{mn}$ and corresponding constant hypermultiplet fields. The hypermultiplet-dependent effective action is derived and given by integral over the analytic subspace of harmonic superspace. We show that each term in the Schwinger-De Witt expansion of the low-energy effective action is written as integral over full ${\cal N}=2$ superspace.

[ { "created": "Wed, 27 Apr 2005 08:39:25 GMT", "version": "v1" }, { "created": "Mon, 18 Jul 2005 08:43:57 GMT", "version": "v2" } ]

2009-11-11

[ [ "Buchbinder", "I. L.", "" ], [ "Pletnev", "N. G.", "" ] ]

We develop a systematic approach to construct the one-loop ${\cal N}=4$ SYM effective action depending on both ${\cal N}=2$ vector multiplet and hypermultiplet background fields. Beginning with the formulation of ${\cal N}=4$ SYM theory in terms of ${\cal N}=2$ harmonic superfields, we construct the one-loop effective action using the covariant ${\cal N}=2$ harmonic supergraphs and calculate it in ${\cal N}=2$ harmonic superfield form for constant Abelian strength $F_{mn}$ and corresponding constant hypermultiplet fields. The hypermultiplet-dependent effective action is derived and given by integral over the analytic subspace of harmonic superspace. We show that each term in the Schwinger-De Witt expansion of the low-energy effective action is written as integral over full ${\cal N}=2$ superspace.

5.762834

5.334203

6.521377

5.340983

5.338933

5.418535

5.323517

5.227901

5.564905

6.991657

5.371046

5.485126

5.868027

5.492856

5.668793

5.371408

5.661222

5.460018

5.521682

5.716783

5.558376

hep-th/0606145

Alin Tirziu

J.A. Minahan, A. Tirziu and A.A. Tseytlin

Infinite spin limit of semiclassical string states

38 pages, 3 figures; v2: comments on derivation of bound states of magnons from discrete Bethe equations added in section 4 and appendix C, references added, Imperial-TP-AT-6-4, HUTP-06/A0024

JHEP 0608:049,2006

10.1088/1126-6708/2006/08/049

null

hep-th

null

Motivated by recent works of Hofman and Maldacena and Dorey we consider a special infinite spin limit of semiclassical spinning string states in AdS5 x S5. We discuss examples of known folded and circular 2-spin string solutions and demonstrate explicitly that the 1-loop superstring correction to the classical expression for the energy vanishes in the limit when one of the spins is much larger that the other. We also give a general discussion of this limit at the level of integral equations describing finite gap solutions of the string sigma model and argue that the corresponding asymptotic form of the string and gauge Bethe equations is the same.

[ { "created": "Thu, 15 Jun 2006 18:49:26 GMT", "version": "v1" }, { "created": "Wed, 21 Jun 2006 16:51:10 GMT", "version": "v2" } ]

2009-11-11

[ [ "Minahan", "J. A.", "" ], [ "Tirziu", "A.", "" ], [ "Tseytlin", "A. A.", "" ] ]

Motivated by recent works of Hofman and Maldacena and Dorey we consider a special infinite spin limit of semiclassical spinning string states in AdS5 x S5. We discuss examples of known folded and circular 2-spin string solutions and demonstrate explicitly that the 1-loop superstring correction to the classical expression for the energy vanishes in the limit when one of the spins is much larger that the other. We also give a general discussion of this limit at the level of integral equations describing finite gap solutions of the string sigma model and argue that the corresponding asymptotic form of the string and gauge Bethe equations is the same.

9.681706

7.433882

10.773964

7.487103

7.975201

7.604335

7.566945

7.709443

7.979327

11.782594

7.722057

8.1196

9.351536

8.702236

8.608672

8.480507

8.263381

8.649289

8.642796

8.9709

8.847131

hep-th/0208181

Yannick Meurice

Y. Meurice

Complex singularities of the critical potential in the large-N limit

9 pages, 9 figures, uses revtex

Phys.Rev. D67 (2003) 025006

10.1103/PhysRevD.67.025006

null

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

null

We show with two numerical examples that the conventional expansion in powers of the field for the critical potential of 3-dimensional O(N) models in the large-N limit, does not converge for values of phi^2 larger than some critical value. This can be explained by the existence of conjugated branch points in the complex phi^2 plane. Pade approximants [L+3/L] for the critical potential apparently converge at large phi^2. This allows high-precision calculation of the fixed point in a more suitable set of coordinates. We argue that the singularities are generic and not an artifact of the large-N limit. We show that ignoring these singularities may lead to inaccurate approximations.

[ { "created": "Sun, 25 Aug 2002 20:35:03 GMT", "version": "v1" }, { "created": "Wed, 4 Sep 2002 20:24:04 GMT", "version": "v2" } ]

2009-11-07

[ [ "Meurice", "Y.", "" ] ]

We show with two numerical examples that the conventional expansion in powers of the field for the critical potential of 3-dimensional O(N) models in the large-N limit, does not converge for values of phi^2 larger than some critical value. This can be explained by the existence of conjugated branch points in the complex phi^2 plane. Pade approximants [L+3/L] for the critical potential apparently converge at large phi^2. This allows high-precision calculation of the fixed point in a more suitable set of coordinates. We argue that the singularities are generic and not an artifact of the large-N limit. We show that ignoring these singularities may lead to inaccurate approximations.

11.116596

10.734491

12.272265

10.122893

11.803586

10.888117

10.284984

10.908644

10.466022

12.553128

10.168121

10.514411

11.314971

10.504402

10.54996

10.527101

10.249846

10.571024

10.23576

11.093882

10.361025

hep-th/9412233

null

A.A. Slavnov

Generalized Pauli-Villars regularization for undoubled lattice fermions

10 pages LATEX file

Phys.Lett. B348 (1995) 553-559

10.1016/0370-2693(95)00202-V

SMI-9-94

hep-th

null

A manifestly gauge invariant formulation of chiral theories with fermions on the lattice is developed. It combines SLAC lattice derivative \cite{DWY}, \cite{ACS}, \cite{S} and generalized Pauli-Villars regularization \cite{FS}. The theory is free of fermion doubling, requires only local gauge invariant counterterms and produces correct results when applied to exactly solvable two dimensional models.

[ { "created": "Thu, 29 Dec 1994 08:13:48 GMT", "version": "v1" } ]

2009-10-28

[ [ "Slavnov", "A. A.", "" ] ]

A manifestly gauge invariant formulation of chiral theories with fermions on the lattice is developed. It combines SLAC lattice derivative \cite{DWY}, \cite{ACS}, \cite{S} and generalized Pauli-Villars regularization \cite{FS}. The theory is free of fermion doubling, requires only local gauge invariant counterterms and produces correct results when applied to exactly solvable two dimensional models.

13.428029

15.567634

13.445914

12.857269

14.2706

11.812642

14.331397

12.793791

14.850487

17.836098

13.122045

12.654031

13.359082

12.895274

12.308337

12.611542

12.330953

12.403482

12.350505

13.316381

12.881325

hep-th/0412198

Dafni Marchioro

Nathan Berkovits, Dafni Z. Marchioro (IFT/UNESP - Sao Paulo)

Relating the Green-Schwarz and Pure Spinor Formalisms for the Superstring

16 pages, JHEP format, fixed typos and added 2 footnotes

JHEP 0501:018,2005

10.1088/1126-6708/2005/01/018

IFT-P.058/2004

hep-th

null

Although it is not known how to covariantly quantize the Green-Schwarz (GS) superstring, there exists a semi-light-cone gauge choice in which the GS superstring can be quantized in a conformally invariant manner. In this paper, we prove that BRST quantization of the GS superstring in semi-light-cone gauge is equivalent to BRST quantization using the pure spinor formalism for the superstring.

[ { "created": "Fri, 17 Dec 2004 19:40:02 GMT", "version": "v1" }, { "created": "Sat, 18 Dec 2004 13:12:19 GMT", "version": "v2" } ]

2011-08-11

[ [ "Berkovits", "Nathan", "", "IFT/UNESP - Sao Paulo" ], [ "Marchioro", "Dafni Z.", "", "IFT/UNESP - Sao Paulo" ] ]

Although it is not known how to covariantly quantize the Green-Schwarz (GS) superstring, there exists a semi-light-cone gauge choice in which the GS superstring can be quantized in a conformally invariant manner. In this paper, we prove that BRST quantization of the GS superstring in semi-light-cone gauge is equivalent to BRST quantization using the pure spinor formalism for the superstring.

5.243344

4.318396

5.178742

4.304233

4.175324

4.013389

4.162549

4.076862

4.427385

5.454254

4.212325

4.460101

4.872553

4.625395

4.538783

4.736814

4.51849

4.614058

4.464518

5.123079

4.748564

1309.2098

Li Li

Rong-Gen Cai, Song He, Li Li, Li-Fang Li

A Holographic Study on Vector Condensate Induced by a Magnetic Field

v3: minor changes, references added, to appear in JHEP

JHEP 1312 (2013) 036

10.1007/JHEP12(2013)036

null

hep-th

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

We study a holographic model with vector condensate by coupling the anti-de Sitter gravity to an Abelian gauge field and a charged vector field in $(3+1)$ dimensional spacetime. In this model there exists a non-minimal coupling of the vector filed to the gauge field. We find that there is a critical temperature below which the charged vector condenses via a second order phase transition. The DC conductivity becomes infinite and the AC conductivity develops a gap in the condensed phase. We study the effect of a background magnetic field on the system. It is found that the background magnetic field can induce the condensate of the vector field even in the case without chemical potential/charge density. In the case with non-vanishing charge density, the transition temperature raises with the applied magnetic field, and the condensate of the charged vector operator forms a vortex lattice structure in the spatial directions perpendicular to the magnetic field.

[ { "created": "Mon, 9 Sep 2013 10:24:57 GMT", "version": "v1" }, { "created": "Mon, 16 Sep 2013 13:37:41 GMT", "version": "v2" }, { "created": "Mon, 2 Dec 2013 07:10:36 GMT", "version": "v3" } ]

2014-01-27

[ [ "Cai", "Rong-Gen", "" ], [ "He", "Song", "" ], [ "Li", "Li", "" ], [ "Li", "Li-Fang", "" ] ]

We study a holographic model with vector condensate by coupling the anti-de Sitter gravity to an Abelian gauge field and a charged vector field in $(3+1)$ dimensional spacetime. In this model there exists a non-minimal coupling of the vector filed to the gauge field. We find that there is a critical temperature below which the charged vector condenses via a second order phase transition. The DC conductivity becomes infinite and the AC conductivity develops a gap in the condensed phase. We study the effect of a background magnetic field on the system. It is found that the background magnetic field can induce the condensate of the vector field even in the case without chemical potential/charge density. In the case with non-vanishing charge density, the transition temperature raises with the applied magnetic field, and the condensate of the charged vector operator forms a vortex lattice structure in the spatial directions perpendicular to the magnetic field.

5.975058

5.411651

6.024623

5.3353

5.630809

5.444281

5.309734

5.05864

5.20661

7.092309

5.373326

5.530382

5.914149

5.546775

5.752828

5.647962

5.535408

5.701886

5.599323

6.142679

5.798186

1504.00349

Marco Matone

A Surprising Relation for the Effective Coupling Constants of N=2 Super Yang-Mills Theories

7 pages

JHEP06(2015)109

10.1007/JHEP06(2015)109

null

hep-th math.AG

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

We show that the effective coupling constants $\tau$ of supersymmetric gauge theories described by hyperelliptic curves do not distinguish between the lattices of the two kinds of heterotic string. In particular, the following relation $$ \Theta_{D_{16}^+}(\tau)=\Theta_{E_8}^2(\tau) $$ holds. This is reminiscent of the relation, by $T$-duality, of the two heterotic strings. We suggest that such a relation extends to all curves describing effective supersymmetric gauge theories.

[ { "created": "Wed, 1 Apr 2015 19:48:46 GMT", "version": "v1" } ]

2015-06-18

[ [ "Matone", "Marco", "" ] ]

We show that the effective coupling constants $\tau$ of supersymmetric gauge theories described by hyperelliptic curves do not distinguish between the lattices of the two kinds of heterotic string. In particular, the following relation $$ \Theta_{D_{16}^+}(\tau)=\Theta_{E_8}^2(\tau) $$ holds. This is reminiscent of the relation, by $T$-duality, of the two heterotic strings. We suggest that such a relation extends to all curves describing effective supersymmetric gauge theories.

9.432551

9.306864

9.32186

9.195181

9.659116

9.282094

10.160173

8.801624

9.220243

10.234197

8.648537

8.788647

9.344656

9.519135

9.364137

9.393336

9.635303

8.935401

9.506743

10.039991

9.01564

1104.2798

Fabio Ferrari Ruffino

Classifying A-field and B-field configurations in the presence of D-branes - Part II: Stacks of D-branes

29 pages

Nuclear Physics, Section B 858 (2012), pp. 377-404

10.1016/j.nuclphysb.2012.01.013

null

hep-th math-ph math.MP

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

In the paper arXiv:0810.4291 we have shown, in the context of type II superstring theory, the classification of the allowed B-field and A-field configurations in the presence of anomaly-free D-branes, the mathematical framework being provided by the geometry of gerbes. Here we complete the discussion considering in detail the case of a stack of D-branes, carrying a non-abelian gauge theory, which was just sketched in the previous paper. In this case we have to mix the geometry of abelian gerbes, describing the B-field, with the one of higher-rank bundles, ordinary or twisted. We describe in detail the various cases that arise according to such a classification, as we did for a single D-brane, showing under which hypoteses the A-field turns out to be a connection on a canonical gauge bundle. We also generalize to the non-abelian setting the discussion about "gauge bundles with non integral Chern classes", relating them to twisted bundles with connection. Finally, we analyze the geometrical nature of the Wilson loop for each kind of gauge theory on a D-brane or stack of D-branes.

[ { "created": "Thu, 14 Apr 2011 15:13:09 GMT", "version": "v1" }, { "created": "Sun, 26 Jun 2011 17:10:31 GMT", "version": "v2" }, { "created": "Tue, 15 Nov 2011 17:28:07 GMT", "version": "v3" }, { "created": "Mon, 16 Jan 2012 11:33:33 GMT", "version": "v4" }, { "created": "Fri, 27 Jan 2012 19:20:37 GMT", "version": "v5" } ]

2012-01-30

[ [ "Ruffino", "Fabio Ferrari", "" ] ]

In the paper arXiv:0810.4291 we have shown, in the context of type II superstring theory, the classification of the allowed B-field and A-field configurations in the presence of anomaly-free D-branes, the mathematical framework being provided by the geometry of gerbes. Here we complete the discussion considering in detail the case of a stack of D-branes, carrying a non-abelian gauge theory, which was just sketched in the previous paper. In this case we have to mix the geometry of abelian gerbes, describing the B-field, with the one of higher-rank bundles, ordinary or twisted. We describe in detail the various cases that arise according to such a classification, as we did for a single D-brane, showing under which hypoteses the A-field turns out to be a connection on a canonical gauge bundle. We also generalize to the non-abelian setting the discussion about "gauge bundles with non integral Chern classes", relating them to twisted bundles with connection. Finally, we analyze the geometrical nature of the Wilson loop for each kind of gauge theory on a D-brane or stack of D-branes.

9.270713

10.250855

9.792742

9.169041

10.646189

10.28735

9.580466

9.123168

8.978767

10.344474

9.202783

8.697119

8.918687

8.882684

9.033362

8.998443

8.831492

8.975925

8.811301

8.95461

8.969764

1203.5921

Christian Saemann

Christian Saemann and Richard J. Szabo

Groupoid Quantization of Loop Spaces

19 pages, Proceedings of the Corfu Summer Institute 2011 - School and Workshops on Elementary Particle Physics and Gravity, September 4-18, 2011, Corfu, Greece

null

HWM-12-02, EMPG-12-03

hep-th math-ph math.MP

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

We review the various contexts in which quantized 2-plectic manifolds are expected to appear within closed string theory and M-theory. We then discuss how the quantization of a 2-plectic manifold can be reduced to ordinary quantization of its loop space, which is a symplectic manifold. We demonstrate how the latter can be quantized using groupoids. After reviewing the necessary background, we present the groupoid quantization of the loop space of R^3 in some detail.

[ { "created": "Tue, 27 Mar 2012 10:36:16 GMT", "version": "v1" } ]

2012-03-28

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

We review the various contexts in which quantized 2-plectic manifolds are expected to appear within closed string theory and M-theory. We then discuss how the quantization of a 2-plectic manifold can be reduced to ordinary quantization of its loop space, which is a symplectic manifold. We demonstrate how the latter can be quantized using groupoids. After reviewing the necessary background, we present the groupoid quantization of the loop space of R^3 in some detail.

6.81869

5.524151

6.440684

5.585573

5.705326

5.459597

5.760676

5.797738

5.691549

7.18136

5.743812

6.272667

6.604855

6.180407

6.054567

6.025951

5.911193

6.289666

6.087546

6.446099

5.965425

1011.5672

Alexey Koshelev

Federico Galli and Alexey S. Koshelev

Perturbative stability of SFT-based cosmological models

Version accepted for publicatin in JCAP, 19 pages, 6 figures, uses jcappub.sty

null

10.1088/1475-7516/2011/05/012

null

hep-th astro-ph.CO gr-qc

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

We review the appearance of multiple scalar fields in linearized SFT based cosmological models with a single non-local scalar field. Some of these local fields are canonical real scalar fields and some are complex fields with unusual coupling. These systems only admit numerical or approximate analysis. We introduce a modified potential for multiple scalar fields that makes the system exactly solvable in the cosmological context of Friedmann equations and at the same time preserves the asymptotic behavior expected from SFT. The main part of the paper consists of the analysis of inhomogeneous cosmological perturbations in this system. We show numerically that perturbations corresponding to the new type of complex fields always vanish. As an example of application of this model we consider an explicit construction of the phantom divide crossing and prove the perturbative stability of this process at the linear order. The issue of ghosts and ways to resolve it are briefly discussed.

[ { "created": "Thu, 25 Nov 2010 19:17:52 GMT", "version": "v1" }, { "created": "Tue, 14 Jun 2011 13:10:41 GMT", "version": "v2" } ]

2013-12-03

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

We review the appearance of multiple scalar fields in linearized SFT based cosmological models with a single non-local scalar field. Some of these local fields are canonical real scalar fields and some are complex fields with unusual coupling. These systems only admit numerical or approximate analysis. We introduce a modified potential for multiple scalar fields that makes the system exactly solvable in the cosmological context of Friedmann equations and at the same time preserves the asymptotic behavior expected from SFT. The main part of the paper consists of the analysis of inhomogeneous cosmological perturbations in this system. We show numerically that perturbations corresponding to the new type of complex fields always vanish. As an example of application of this model we consider an explicit construction of the phantom divide crossing and prove the perturbative stability of this process at the linear order. The issue of ghosts and ways to resolve it are briefly discussed.

14.255906

13.36823

13.788812

13.357006

13.707297

15.280636

14.209796

12.953727

13.263449

14.561999

13.158214

13.497252

13.363093

13.251187

13.318855

13.447764

13.337095

13.067122

13.387593

13.452061

13.445083

hep-th/9406202

Centro De Estudios Cientificos De Santia

J.Zanelli

Quantization of the Gravitational Constant in Odd-Dimensional Gravity

9 pages, LaTeX

Phys.Rev. D51 (1995) 490-492

10.1103/PhysRevD.51.490

null

hep-th gr-qc

null

It is pointed out that the action recently proposed by Ba\~nados et al. for gravitation in odd dimensions higher (and lower) than four, provides a natural quantization for the gravitational constant. These theories possess no dimensionful parameters and hence they may be power counting renormalizable.

[ { "created": "Tue, 28 Jun 1994 21:24:33 GMT", "version": "v1" } ]

2009-10-28

[ [ "Zanelli", "J.", "" ] ]

It is pointed out that the action recently proposed by Ba\~nados et al. for gravitation in odd dimensions higher (and lower) than four, provides a natural quantization for the gravitational constant. These theories possess no dimensionful parameters and hence they may be power counting renormalizable.

18.544813

12.543089

12.020219

12.217736

13.089455

12.958394

12.910653

12.286963

12.869478

12.306034

11.789231

12.667738

12.362079

12.441212

12.254076

12.332323

12.959243

11.783591

12.688136

12.516321

11.504073

1708.08943

Challenger Mishra

Andre Lukas and Challenger Mishra

Discrete Symmetries of Complete Intersection Calabi-Yau Manifolds

23 pages; minor changes: updated a reference, removed unclear sentence

null

10.1007/s00220-020-03838-6

null

hep-th

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

In this paper, we classify non-freely acting discrete symmetries of complete intersection Calabi- Yau manifolds and their quotients by freely-acting symmetries. These non-freely acting symmetries can appear as symmetries of low-energy theories resulting from string compactifications on these Calabi-Yau manifolds, particularly in the context of the heterotic string. Hence, our results are relevant for four-dimensional model building with discrete symmetries and they give an indication which symmetries of this kind can be expected from string theory. For the 1695 known quotients of complete intersection manifolds by freely-acting discrete symmetries, non-freely-acting, generic symmetries arise in 381 cases and are, therefore, a relatively common feature of these manifolds. We find that 9 different discrete groups appear, ranging in group order from 2 to 18, and that both regular symmetries and R-symmetries are possible.

[ { "created": "Tue, 29 Aug 2017 18:03:39 GMT", "version": "v1" }, { "created": "Thu, 31 Aug 2017 11:41:43 GMT", "version": "v2" }, { "created": "Mon, 2 Oct 2017 09:30:49 GMT", "version": "v3" } ]

2020-09-04

[ [ "Lukas", "Andre", "" ], [ "Mishra", "Challenger", "" ] ]

In this paper, we classify non-freely acting discrete symmetries of complete intersection Calabi- Yau manifolds and their quotients by freely-acting symmetries. These non-freely acting symmetries can appear as symmetries of low-energy theories resulting from string compactifications on these Calabi-Yau manifolds, particularly in the context of the heterotic string. Hence, our results are relevant for four-dimensional model building with discrete symmetries and they give an indication which symmetries of this kind can be expected from string theory. For the 1695 known quotients of complete intersection manifolds by freely-acting discrete symmetries, non-freely-acting, generic symmetries arise in 381 cases and are, therefore, a relatively common feature of these manifolds. We find that 9 different discrete groups appear, ranging in group order from 2 to 18, and that both regular symmetries and R-symmetries are possible.

6.890615

6.744523

7.220288

6.295579

6.247757

6.760444

6.667097

6.325812

6.522764

7.503288

6.73618

6.306234

6.652994

6.400174

6.559724

6.489962

6.243553

6.374403

6.360984

6.464863

6.338661

hep-th/0504049

Jorgen Rasmussen

Adil Belhaj, Jorgen Rasmussen, El Hassan Saidi, Abdellah Sebbar

Non-commutative ADE geometries as holomorphic wave equations

17 pages, v2: version to be published

Nucl.Phys. B727 (2005) 499-512

10.1016/j.nuclphysb.2005.08.039

GNPHE/0501-VACBT/0501

hep-th

null

Borrowing ideas from the relation between classical and quantum mechanics, we study a non-commutative elevation of the ADE geometries involved in building Calabi-Yau manifolds. We derive the corresponding geometric hamiltonians and the holomorphic wave equations representing these non-commutative geometries. The spectrum of the holomorphic waves is interpreted as the quantum moduli space. Quantum A_1 geometry is analyzed in some details and is found to be linked to the Whittaker differential equation.

[ { "created": "Wed, 6 Apr 2005 16:45:38 GMT", "version": "v1" }, { "created": "Fri, 9 Sep 2005 01:19:08 GMT", "version": "v2" } ]

2009-11-11

[ [ "Belhaj", "Adil", "" ], [ "Rasmussen", "Jorgen", "" ], [ "Saidi", "El Hassan", "" ], [ "Sebbar", "Abdellah", "" ] ]

Borrowing ideas from the relation between classical and quantum mechanics, we study a non-commutative elevation of the ADE geometries involved in building Calabi-Yau manifolds. We derive the corresponding geometric hamiltonians and the holomorphic wave equations representing these non-commutative geometries. The spectrum of the holomorphic waves is interpreted as the quantum moduli space. Quantum A_1 geometry is analyzed in some details and is found to be linked to the Whittaker differential equation.

15.086798

13.348495

14.568958

12.113688

14.036368

13.041477

12.769897

12.824113

13.159296

15.031968

12.166542

12.690214

12.477966

12.716279

12.476979

12.796598

12.40259

12.611178

12.886762

12.847574

12.091868

2106.11786

Carlo Alberto Cremonini

C.A.Cremonini and P.A.Grassi

Cohomology of Lie Superalgebras: Forms, Pseudoforms, and Integral Forms

null

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

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

We study the cohomology of Lie superalgebras for the full complex of forms: superforms, pseudoforms and integral forms. We use the technique of spectral sequences to abstractly compute the Chevalley-Eilenberg cohomology. We first focus on the superalgebra $\mathfrak{osp}(2|2)$ and show that there exist non-empty cohomology spaces among pseudoforms related to sub-superalgebras. We then extend some classical theorems by Koszul, as to include pseudoforms and integral forms. Further, we conjecture that the algebraic Poincar\'e duality extends to Lie superalgebras, as long as all the complexes of forms are taken into account and we prove that this holds true for $\mathfrak{osp}(2|2)$. We finally construct the cohomology representatives explicitly by using a distributional realisation of pseudoforms and integral forms. On one hand, these results show that the cohomology of Lie superalgebras is actually larger than expected, whereas one restricts to superforms only; on the other hand, we show the emergence of completely new cohomology classes represented by pseudoforms. These classes realise as integral form classes of sub-superstructures.

[ { "created": "Tue, 22 Jun 2021 13:54:11 GMT", "version": "v1" } ]

2021-06-25

[ [ "Cremonini", "C. A.", "" ], [ "Grassi", "P. A.", "" ] ]

We study the cohomology of Lie superalgebras for the full complex of forms: superforms, pseudoforms and integral forms. We use the technique of spectral sequences to abstractly compute the Chevalley-Eilenberg cohomology. We first focus on the superalgebra $\mathfrak{osp}(2|2)$ and show that there exist non-empty cohomology spaces among pseudoforms related to sub-superalgebras. We then extend some classical theorems by Koszul, as to include pseudoforms and integral forms. Further, we conjecture that the algebraic Poincar\'e duality extends to Lie superalgebras, as long as all the complexes of forms are taken into account and we prove that this holds true for $\mathfrak{osp}(2|2)$. We finally construct the cohomology representatives explicitly by using a distributional realisation of pseudoforms and integral forms. On one hand, these results show that the cohomology of Lie superalgebras is actually larger than expected, whereas one restricts to superforms only; on the other hand, we show the emergence of completely new cohomology classes represented by pseudoforms. These classes realise as integral form classes of sub-superstructures.

8.122354

8.558778

8.77736

7.987856

8.468648

8.185506

8.67509

8.090213

8.219285

9.361856

8.334788

7.762541

8.34077

8.017502

7.823634

7.692729

7.767488

7.82275

7.934793

8.080966

7.557782

hep-th/9402072

Wolfgang Bietenholz

W. Bietenholz

Goldstone Bosons in a Finite Volume: The Partition Function to Three Loops

59 pages, published in Helv. Phys. Acta 66(6) p.633

Helv.Phys.Acta 66 (1993) 633-691

null

hep-th hep-lat nucl-th

null

A system of Goldstone bosons - stemming from a symmetry breaking $O(N) \to O(N-1)$ - in a finite volume at finite temperature is considered. In the framework of dimensional regularization, the partition function is calculated to 3 loops for 3 and 4 dimensions, where Polyakov's measure for the functional integration is applied. Although the underlying theory is the non-linear $\sigma $ model, the 3 loop result turns out to be renormalizable in the sense that all the singularities can be absorbed by the couplings occuring so far. In finite volume, this property is highly non trivial and confirms the method for the measure. We also show that the result coincides with the one obtained using the Faddeev- Popov measure. This is also true for the maximal generalization of Polyakov's measure: none of the additional invariant terms that can be added contributes to the dimensionally regularized system. Our phenomenological Lagrangian describes e.g. 2 flavor chiral QCD as well as the classical Heisenberg model, but there are also points of contact with the Higgs model, superconductors etc. Moreover the finite size corrections to the susceptibility might improve the inerpretation of Monte Carlo results on the lattice.

[ { "created": "Fri, 11 Feb 1994 19:16:54 GMT", "version": "v1" } ]

2009-09-25

[ [ "Bietenholz", "W.", "" ] ]

A system of Goldstone bosons - stemming from a symmetry breaking $O(N) \to O(N-1)$ - in a finite volume at finite temperature is considered. In the framework of dimensional regularization, the partition function is calculated to 3 loops for 3 and 4 dimensions, where Polyakov's measure for the functional integration is applied. Although the underlying theory is the non-linear $\sigma $ model, the 3 loop result turns out to be renormalizable in the sense that all the singularities can be absorbed by the couplings occuring so far. In finite volume, this property is highly non trivial and confirms the method for the measure. We also show that the result coincides with the one obtained using the Faddeev- Popov measure. This is also true for the maximal generalization of Polyakov's measure: none of the additional invariant terms that can be added contributes to the dimensionally regularized system. Our phenomenological Lagrangian describes e.g. 2 flavor chiral QCD as well as the classical Heisenberg model, but there are also points of contact with the Higgs model, superconductors etc. Moreover the finite size corrections to the susceptibility might improve the inerpretation of Monte Carlo results on the lattice.

12.08155

12.495355

12.39844

11.584231

11.617463

11.688802

12.690816

11.665052

11.858505

12.901486

11.392814

11.575378

12.036853

11.507628

11.835982

11.458422

11.752013

11.283309

11.762472

11.551947

11.529337

hep-th/0503150

Gautam Bhattacharya Professor

Gautam Bhattacharya

Criteria for Exact Solubility of Relativistic Field Theories by Scattering Transform

15 pages

null

hep-th

null

Scattering transform is a well known powerful tool for quantisation of field theories in (1+1) dimensions. Conventionally only those models whose classical counterparts admit a Lax pair (origin of which is always mysterious) have been quantised in this way. In relativistic quantum field theories we show that the scattering transforms can be constructed ab initio from its invariance under Lorentz transformation (both proper and improper), irreducible transformation nature of scalar and Dirac fields, the existence of a momentum scale associated with asymptotic nature of the scattering transform and the closure of short distance operator product algebra. For single fields it turns out that theories quantisable by scattering transforms are restricted to sine-Gordon type for spin-0 and Massive Thirring type for spin-1/2 if the target space of the scattering transform matrix is assumed to be parity invariant. There are interesting unexplored extensions if the target space is given chirality.

[ { "created": "Sat, 19 Mar 2005 15:54:40 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bhattacharya", "Gautam", "" ] ]

Scattering transform is a well known powerful tool for quantisation of field theories in (1+1) dimensions. Conventionally only those models whose classical counterparts admit a Lax pair (origin of which is always mysterious) have been quantised in this way. In relativistic quantum field theories we show that the scattering transforms can be constructed ab initio from its invariance under Lorentz transformation (both proper and improper), irreducible transformation nature of scalar and Dirac fields, the existence of a momentum scale associated with asymptotic nature of the scattering transform and the closure of short distance operator product algebra. For single fields it turns out that theories quantisable by scattering transforms are restricted to sine-Gordon type for spin-0 and Massive Thirring type for spin-1/2 if the target space of the scattering transform matrix is assumed to be parity invariant. There are interesting unexplored extensions if the target space is given chirality.

17.825455

16.780127

18.342194

16.390759

18.592276

16.925674

15.573684

16.535437

16.244644

17.945963

17.105312

14.990476

15.608707

14.940677

15.654642

15.339937

14.762561

15.247449

14.963507

16.08161

16.565449

hep-th/0603113

Arutyunov Gleb E

G. Arutyunov, A. A. Tseytlin

On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory

23 pages, Latex

JHEP 0605:033,2006

10.1088/1126-6708/2006/05/033

ITP-UU-06-09, SPIN-06-07, Imperial-TP-AT-6-1

hep-th

null

We consider the highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory containing operators of the form tr(Z^{L-M} \psi^M) where Z is a complex scalar and \psi is a component of gaugino. We show that this state corresponds to the operator tr(\psi^L) and can be viewed as an analogue of the antiferromagnetic state in the su(2) sector. We find perturbative expansions of the energy of this state in both weak and strong 't Hooft coupling regimes using asymptotic gauge theory Bethe ansatz equations. We also discuss a possible analog of this state in the conjectured string Bethe ansatz equations.

[ { "created": "Tue, 14 Mar 2006 16:51:46 GMT", "version": "v1" } ]

2009-11-11

[ [ "Arutyunov", "G.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We consider the highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory containing operators of the form tr(Z^{L-M} \psi^M) where Z is a complex scalar and \psi is a component of gaugino. We show that this state corresponds to the operator tr(\psi^L) and can be viewed as an analogue of the antiferromagnetic state in the su(2) sector. We find perturbative expansions of the energy of this state in both weak and strong 't Hooft coupling regimes using asymptotic gauge theory Bethe ansatz equations. We also discuss a possible analog of this state in the conjectured string Bethe ansatz equations.

7.179817

6.519964

8.069315

6.364929

6.347357

6.37141

6.366786

5.945621

6.203855

8.476842

5.982191

6.429554

6.708257

6.55975

6.159823

6.143822

6.449165

6.477541

6.610545

6.95162

6.246469

hep-th/9405077

Victor Gurarie

V. Gurarie

Probability Density, Diagrammatic Technique, and Epsilon Expansion in the Theory of Wave Turbulence

26 pages, PUPT-1462

Nucl.Phys. B441 (1995) 569-594

10.1016/0550-3213(95)00108-5

null

hep-th cond-mat

null

We apply the methods of Field Theory to study the turbulent regimes of statistical systems. First we show how one can find their probability densities. For the case of the theory of wave turbulence with four-wave interaction we calculate them explicitly and study their properties. Using those densities we show how one can in principle calculate any correlation function in this theory by means of direct perturbative expansion in powers of the interaction. Then we give the general form of the corrections to the kinetic equation and develop an appropriate diagrammatic technique. This technique, while resembling that of $\varphi^4$ theory, has many new distinctive features. The role of the $\epsilon=d-4$ parameter is played here by the parameter $\kappa=\beta + d - \alpha - \gamma$ where $\beta$ is the dimension of the interaction, $d$ is the space dimension, $\alpha$ is the dimension of the energy spectrum and $\gamma$ is the ``classical'' wave density dimension. If $\kappa > 0$ then the Kolmogorov index is exact, and if $\kappa < 0$ then we expect it to be modified by the interaction. For $\kappa$ a small negative number, $\alpha<1$ and a special form of the interaction we compute this modification explicitly with the additional assumption of the irrelevance of the IR divergencies which still needs to be verified.

[ { "created": "Wed, 11 May 1994 22:25:32 GMT", "version": "v1" }, { "created": "Tue, 31 May 1994 00:31:43 GMT", "version": "v2" } ]

2009-10-28

[ [ "Gurarie", "V.", "" ] ]

We apply the methods of Field Theory to study the turbulent regimes of statistical systems. First we show how one can find their probability densities. For the case of the theory of wave turbulence with four-wave interaction we calculate them explicitly and study their properties. Using those densities we show how one can in principle calculate any correlation function in this theory by means of direct perturbative expansion in powers of the interaction. Then we give the general form of the corrections to the kinetic equation and develop an appropriate diagrammatic technique. This technique, while resembling that of $\varphi^4$ theory, has many new distinctive features. The role of the $\epsilon=d-4$ parameter is played here by the parameter $\kappa=\beta + d - \alpha - \gamma$ where $\beta$ is the dimension of the interaction, $d$ is the space dimension, $\alpha$ is the dimension of the energy spectrum and $\gamma$ is the ``classical'' wave density dimension. If $\kappa > 0$ then the Kolmogorov index is exact, and if $\kappa < 0$ then we expect it to be modified by the interaction. For $\kappa$ a small negative number, $\alpha<1$ and a special form of the interaction we compute this modification explicitly with the additional assumption of the irrelevance of the IR divergencies which still needs to be verified.

8.794549

10.055617

9.475825

9.175836

9.078636

10.241433

9.54719

9.492653

9.358335

10.112622

8.798884

8.517243

8.844537

8.782654

8.726942

8.690581

8.41561

8.899813

8.651391

8.832513

8.585894

0805.3924

Dmitri Gal'tsov

Dmitri V. Gal'tsov and Nikolai G. Scherbluk

Generating technique for $U(1)^3 5D$ supergravity

A typo in Sec. VII B corrected, some references added

Phys.Rev.D78:064033,2008

10.1103/PhysRevD.78.064033

DTP-MSU/08-11

hep-th gr-qc

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

We develop generating technique for solutions of $U(1)^3 5D$ supergravity via dimensional reduction to three dimensions. This theory, which recently attracted attention in connection with black rings, can be viewed as consistent truncation of the $T^6$ compactification of the eleven-dimensional supergravity. Its further reduction to three dimensions accompanied by dualisation of the vector fields leads to 3D gravity coupled sigma model on the homogeneous space $SO(4,4)/SO(4)\times SO(4)$ or $SO(4,4)/SO(2,2)\times SO(2,2)$ depending on the signature of the three-space. We construct a $8\times 8$ matrix representation of these cosets in terms of lower-dimensional blocks. Using it we express solution generating transformations in terms of the potentials and identify those preserving asymptotic conditions relevant to black holes and black rings. As an application, we derive the doubly rotating black hole solution with three independent charges. A suitable contraction of the above cosets is used to construct a new representation of the coset $G_{2(2)}/(SL(2,R)\times SL(2,R))$ relevant for minimal five-dimensional supergravity.

[ { "created": "Mon, 26 May 2008 11:15:10 GMT", "version": "v1" }, { "created": "Wed, 18 Jun 2008 10:11:02 GMT", "version": "v2" } ]

2009-02-20

[ [ "Gal'tsov", "Dmitri V.", "" ], [ "Scherbluk", "Nikolai G.", "" ] ]

We develop generating technique for solutions of $U(1)^3 5D$ supergravity via dimensional reduction to three dimensions. This theory, which recently attracted attention in connection with black rings, can be viewed as consistent truncation of the $T^6$ compactification of the eleven-dimensional supergravity. Its further reduction to three dimensions accompanied by dualisation of the vector fields leads to 3D gravity coupled sigma model on the homogeneous space $SO(4,4)/SO(4)\times SO(4)$ or $SO(4,4)/SO(2,2)\times SO(2,2)$ depending on the signature of the three-space. We construct a $8\times 8$ matrix representation of these cosets in terms of lower-dimensional blocks. Using it we express solution generating transformations in terms of the potentials and identify those preserving asymptotic conditions relevant to black holes and black rings. As an application, we derive the doubly rotating black hole solution with three independent charges. A suitable contraction of the above cosets is used to construct a new representation of the coset $G_{2(2)}/(SL(2,R)\times SL(2,R))$ relevant for minimal five-dimensional supergravity.

7.271812

6.627018

7.811556

6.816043

6.811752

6.608578

6.909474

6.352526

6.956025

8.637281

6.627836

7.080367

7.172477

6.898132

7.041373

6.943409

6.686156

7.002618

6.960883

7.610777

6.838542

2211.09148

Mianqi Wang

Andreas Karch and Mianqi Wang

Universal Behavior of Entanglement Entropies in Interface CFTs from General Holographic Spacetimes

28 pages

null

10.1007/JHEP06(2023)145

null

hep-th

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

In previous work universal behavior was conjectured for the behavior of the logarithmic terms in the entanglement entropy of intervals in 1+1 dimensional interface conformal field theories (ICFTs). These putative universal terms were exhibited both in free field theories as well as a large class of holographic models. In this work we demonstrate that this same behavior in fact is realized in any holographic ICFT, significantly strengthening the case for the conjecture.

[ { "created": "Wed, 16 Nov 2022 19:00:52 GMT", "version": "v1" }, { "created": "Sun, 16 Apr 2023 22:28:31 GMT", "version": "v2" } ]

2023-07-12

[ [ "Karch", "Andreas", "" ], [ "Wang", "Mianqi", "" ] ]

In previous work universal behavior was conjectured for the behavior of the logarithmic terms in the entanglement entropy of intervals in 1+1 dimensional interface conformal field theories (ICFTs). These putative universal terms were exhibited both in free field theories as well as a large class of holographic models. In this work we demonstrate that this same behavior in fact is realized in any holographic ICFT, significantly strengthening the case for the conjecture.

10.000424

7.723421

9.818069

8.042165

8.037094

8.382426

8.026086

7.880675

8.160625

9.758797

8.170598

8.301405

9.040694

8.153922

8.092225

8.127743

8.142377

7.976992

8.083654

8.845463

8.062797

hep-th/0108002

Subrata Bal

Subrata Bal and Hiroyuki Takata (IMSc,india)

Interaction between two Fuzzy Spheres

Latex file, 13 pages

Int.J.Mod.Phys. A17 (2002) 2445-2458

10.1142/S0217751X02010728

IMSC/2001/04/23

hep-th

null

We have calculated interactions between two fuzzy spheres in 3 dimension. It depends on the distance r between the spheres and the radii rho_1, rho_2. There is no force between the spheres when they are far from each other (long distance case). We have also studied the interaction for r=0 case. We find that an attractive force exists between two fuzzy sphere surfaces.

[ { "created": "Wed, 1 Aug 2001 18:03:40 GMT", "version": "v1" } ]

2009-11-07

[ [ "Bal", "Subrata", "", "IMSc,india" ], [ "Takata", "Hiroyuki", "", "IMSc,india" ] ]

We have calculated interactions between two fuzzy spheres in 3 dimension. It depends on the distance r between the spheres and the radii rho_1, rho_2. There is no force between the spheres when they are far from each other (long distance case). We have also studied the interaction for r=0 case. We find that an attractive force exists between two fuzzy sphere surfaces.

11.955676

11.015052

10.27587

9.766425

9.827934

9.551888

9.894552

9.404258

10.228517

11.286132

9.050433

9.760466

10.293199

9.448236

9.735517

10.028377

9.572546

9.796782

9.467982

10.268427

9.682165

1905.13058

Sudip Karan

Sudip Karan, Gourav Banerjee and Binata Panda

Seeley-DeWitt Coefficients in $\mathcal{N}=2$ Einstein-Maxwell Supergravity Theory and Logarithmic Corrections to $\mathcal{N}=2$ Extremal Black Hole Entropy

V4: the Kerr-Newman results in eqs. (6.14) and (6.15) are simplified into a topological form

Journal of High Energy Physics 08(2019)056

10.1007/JHEP08(2019)056

null

hep-th gr-qc

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

We investigate the heat kernel method for one-loop effective action following the Seeley-DeWitt expansion technique of heat kernel with Seeley-DeWitt coefficients. We also review a general approach of computing the Seeley-DeWitt coefficients in terms of background or geometric invariants. We, then consider the Einstein-Maxwell theory embedded in minimal $\mathcal{N}=2$ supergravity in four dimensions and compute the first three Seeley-DeWitt coefficients of the kinetic operator of the bosonic and the fermionic fields in an arbitrary background field configuration. We find the applications of these results in the computation of logarithmic corrections to Bekenstein-Hawking entropy of the extremal Kerr-Newman, Kerr and Reissner-Nordstrom black holes in minimal $\mathcal{N}=2$ Einstein-Maxwell supergravity theory following the quantum entropy function formalism.

[ { "created": "Thu, 30 May 2019 14:01:24 GMT", "version": "v1" }, { "created": "Sun, 11 Aug 2019 06:23:12 GMT", "version": "v2" }, { "created": "Thu, 3 Dec 2020 12:43:05 GMT", "version": "v3" }, { "created": "Fri, 8 Mar 2024 12:17:06 GMT", "version": "v4" } ]

2024-03-11

[ [ "Karan", "Sudip", "" ], [ "Banerjee", "Gourav", "" ], [ "Panda", "Binata", "" ] ]

We investigate the heat kernel method for one-loop effective action following the Seeley-DeWitt expansion technique of heat kernel with Seeley-DeWitt coefficients. We also review a general approach of computing the Seeley-DeWitt coefficients in terms of background or geometric invariants. We, then consider the Einstein-Maxwell theory embedded in minimal $\mathcal{N}=2$ supergravity in four dimensions and compute the first three Seeley-DeWitt coefficients of the kinetic operator of the bosonic and the fermionic fields in an arbitrary background field configuration. We find the applications of these results in the computation of logarithmic corrections to Bekenstein-Hawking entropy of the extremal Kerr-Newman, Kerr and Reissner-Nordstrom black holes in minimal $\mathcal{N}=2$ Einstein-Maxwell supergravity theory following the quantum entropy function formalism.

6.341631

5.14514

6.260364

5.460789

6.028218

5.58329

5.449703

5.359202

5.298095

6.306304

5.542907

5.868934

5.882181

5.748801

5.422213

5.724239

5.7328

5.64893

5.638095

5.860873

5.712963

1302.2903

Daniel Blaschke

Daniel N. Blaschke, Harald Grosse and Jean-Christophe Wallet

Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences

21 pages, 3 figures; v2: minor corrections and references added

JHEP 1306:038,2013

10.1007/JHEP06(2013)038

LA-UR-13-20923

hep-th

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

In this work we clarify some properties of the one-loop IR divergences in non-Abelian gauge field theories on non-commutative 4-dimensional Moyal space. Additionally, we derive the tree-level Slavnov-Taylor identities relating the two, three and four point functions, and verify their consistency with the divergent one-loop level results. We also discuss the special case of two dimensions.

[ { "created": "Tue, 12 Feb 2013 20:37:17 GMT", "version": "v1" }, { "created": "Thu, 30 May 2013 17:49:10 GMT", "version": "v2" } ]

2013-06-17

[ [ "Blaschke", "Daniel N.", "" ], [ "Grosse", "Harald", "" ], [ "Wallet", "Jean-Christophe", "" ] ]

In this work we clarify some properties of the one-loop IR divergences in non-Abelian gauge field theories on non-commutative 4-dimensional Moyal space. Additionally, we derive the tree-level Slavnov-Taylor identities relating the two, three and four point functions, and verify their consistency with the divergent one-loop level results. We also discuss the special case of two dimensions.

9.302842

7.816087

8.333308

7.557838

8.168849

8.241626

7.549433

7.627665

7.219189

9.051562

7.785513

8.415169

8.217706

8.274315

8.359529

8.357927

8.060339

8.148434

8.435013

8.182866

8.063935

hep-th/0412208

Pavel Yu. Moshin

D.M. Gitman, P.Yu. Moshin, J.L. Tomazelli

On Superfield Covariant Quantization in General Coordinates

11 pages, no figures

Eur.Phys.J.C44:591-598,2005

10.1140/epjc/s2005-02375-9

null

hep-th

null

We propose a natural extension of the BRST-antiBRST superfield covariant scheme in general coordinates. Thus, the coordinate dependence of the basic scalar and tensor fields of the formalism is extended from the base supermanifold to the complete set of superfield variables.

[ { "created": "Fri, 17 Dec 2004 23:42:56 GMT", "version": "v1" } ]

2009-01-07

[ [ "Gitman", "D. M.", "" ], [ "Moshin", "P. Yu.", "" ], [ "Tomazelli", "J. L.", "" ] ]

We propose a natural extension of the BRST-antiBRST superfield covariant scheme in general coordinates. Thus, the coordinate dependence of the basic scalar and tensor fields of the formalism is extended from the base supermanifold to the complete set of superfield variables.

17.613361

15.570149

21.956772

15.522078

15.675658

14.865892

15.325108

14.553485

14.582535

18.401308

16.329159

16.437094

18.581259

15.531323

16.458002

16.205046

16.180992

15.264216

16.131243

17.45586

15.253142

0806.1844

Alexander Kamenshchik

A.A. Andrianov, F. Cannata, A.Yu. Kamenshchik, D. Regoli

Two-field cosmological models and large-scale cosmic magnetic fields

12 pages, 3 figures

JCAP 0810:019,2008

10.1088/1475-7516/2008/10/019

null

hep-th astro-ph gr-qc

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

We consider two different toy cosmological models based on two fields (one normal scalar and one phantom) realizing the same evolution of the Bang-to-Rip type. One of the fields (pseudoscalar) interacts with the magnetic field breaking the conformal invariance of the latter. The effects of the amplification of cosmic magnetic fields are studied and it is shown that the presence of such effects can discriminate between different cosmological models realizing the same global evolution of the universe.

[ { "created": "Wed, 11 Jun 2008 15:24:06 GMT", "version": "v1" } ]

2014-11-18

[ [ "Andrianov", "A. A.", "" ], [ "Cannata", "F.", "" ], [ "Kamenshchik", "A. Yu.", "" ], [ "Regoli", "D.", "" ] ]

We consider two different toy cosmological models based on two fields (one normal scalar and one phantom) realizing the same evolution of the Bang-to-Rip type. One of the fields (pseudoscalar) interacts with the magnetic field breaking the conformal invariance of the latter. The effects of the amplification of cosmic magnetic fields are studied and it is shown that the presence of such effects can discriminate between different cosmological models realizing the same global evolution of the universe.

12.384358

12.494953

10.873789

11.463628

10.447492

10.67604

11.637781

11.641335

12.33622

12.692626

12.068798

12.233858

11.591674

11.19005

11.552012

11.56652

12.687276

11.270122

11.727212

11.8689

11.48807

1008.0983

Nicholas Halmagyi

Iosif Bena, Gregory Giecold, Mariana Gra\~na, Nick Halmagyi, Francesco Orsi

Supersymmetric Consistent Truncations of IIB on T(1,1)

23 pages, v2 minor corrections

JHEP 1104:021,2011

10.1007/JHEP04(2011)021

null

hep-th

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

We study consistent Kaluza-Klein reductions of type IIB supergravity on T(1,1) down to five-dimensions. We find that the most general reduction containing singlets under the global SU(2)xSU(2) symmetry of T(1,1) is N=4 gauged supergravity coupled to three vector multiplets with a particular gauging due to topological and geometric flux. Key to this reduction is several modes which have not been considered before in the literature and our construction allows us to easily show that the Papadopoulos - Tseytlin ansatz for IIB solutions on T(1,1) is a consistent truncation. This explicit reduction provides an organizing principle for the linearized spectrum around the warped deformed conifold as well as the baryonic branch and should have applications to the physics of flux compactifications with warped throats.

[ { "created": "Thu, 5 Aug 2010 14:27:20 GMT", "version": "v1" }, { "created": "Thu, 31 Mar 2011 20:35:54 GMT", "version": "v2" } ]

2011-04-20

[ [ "Bena", "Iosif", "" ], [ "Giecold", "Gregory", "" ], [ "Graña", "Mariana", "" ], [ "Halmagyi", "Nick", "" ], [ "Orsi", "Francesco", "" ] ]

We study consistent Kaluza-Klein reductions of type IIB supergravity on T(1,1) down to five-dimensions. We find that the most general reduction containing singlets under the global SU(2)xSU(2) symmetry of T(1,1) is N=4 gauged supergravity coupled to three vector multiplets with a particular gauging due to topological and geometric flux. Key to this reduction is several modes which have not been considered before in the literature and our construction allows us to easily show that the Papadopoulos - Tseytlin ansatz for IIB solutions on T(1,1) is a consistent truncation. This explicit reduction provides an organizing principle for the linearized spectrum around the warped deformed conifold as well as the baryonic branch and should have applications to the physics of flux compactifications with warped throats.

7.768808

7.192511

9.292043

7.087108

7.212511

7.218143

7.130827

7.05975

7.067392

11.097064

7.223431

7.229843

8.254845

7.188207

7.249486

7.102797

7.240919

7.430859

7.299937

8.016569

7.009899

hep-th/9907173

Paolo Valtancoli

Perturbative Analysis of the Two-body Problem in (2+1)-AdS gravity

19 pages, no figures, LaTeX file

Int.J.Mod.Phys. A16 (2001) 2945-2964

10.1142/S0217751X01004232

DFF 1/7/99

hep-th

null

We derive a perturbative scheme to treat the interaction between point sources and AdS-gravity. The interaction problem is equivalent to the search of a polydromic mapping $X^A= X^A(x^\mu)$, endowed with 0(2,2) monodromies, between the physical coordinate system and a Minkowskian 4-dimensional coordinate system, which is however constrained to live on a hypersurface. The physical motion of point sources is therefore mapped to a geodesic motion on this hypersuface. We impose an instantaneous gauge which induces a set of equations defining such a polydromic mapping. Their consistency leads naturally to the Einstein equations in the same gauge. We explore the restriction of the monodromy group to O(2,1), and we obtain the solution of the fields perturbatively in the cosmological constant.

[ { "created": "Thu, 22 Jul 1999 09:14:14 GMT", "version": "v1" } ]

2009-10-31

[ [ "Valtancoli", "Paolo", "" ] ]

We derive a perturbative scheme to treat the interaction between point sources and AdS-gravity. The interaction problem is equivalent to the search of a polydromic mapping $X^A= X^A(x^\mu)$, endowed with 0(2,2) monodromies, between the physical coordinate system and a Minkowskian 4-dimensional coordinate system, which is however constrained to live on a hypersurface. The physical motion of point sources is therefore mapped to a geodesic motion on this hypersuface. We impose an instantaneous gauge which induces a set of equations defining such a polydromic mapping. Their consistency leads naturally to the Einstein equations in the same gauge. We explore the restriction of the monodromy group to O(2,1), and we obtain the solution of the fields perturbatively in the cosmological constant.

12.327364

12.915489

12.733574

11.291284

13.638243

12.206456

12.281535

12.521235

12.096799

13.586386

12.20335

11.572883

11.915624

11.901286

11.706922

11.646055

12.466084

11.503374

12.310024

11.851606

11.7686

1301.1535

Stephane Dartois

S. Dartois, V. Rivasseau and A. Tanasa

The 1/N expansion of multi-orientable random tensor models

18 pages, 17 figures

Annales Henri Poincare Volume 15, Issue 5 (2014), Page 965-984

10.1007/s00023-013-0262-8

null

hep-th gr-qc math.CO

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

Multi-orientable group field theory (GFT) has been introduced in A. Tanasa, J. Phys. A 45 (2012) 165401, arXiv:1109.0694, as a quantum field theoretical simplification of GFT, which retains a larger class of tensor graphs than the colored one. In this paper we define the associated multi-orientable identically independent distributed multi-orientable tensor model and we derive its 1/N expansion. In order to obtain this result, a partial classification of general tensor graphs is performed and the combinatorial notion of jacket is extended to the multi-orientable graphs. We prove that the leading sector is given, as in the case of colored models, by the so-called melon graphs.

[ { "created": "Tue, 8 Jan 2013 13:55:37 GMT", "version": "v1" } ]

2014-04-24

[ [ "Dartois", "S.", "" ], [ "Rivasseau", "V.", "" ], [ "Tanasa", "A.", "" ] ]

Multi-orientable group field theory (GFT) has been introduced in A. Tanasa, J. Phys. A 45 (2012) 165401, arXiv:1109.0694, as a quantum field theoretical simplification of GFT, which retains a larger class of tensor graphs than the colored one. In this paper we define the associated multi-orientable identically independent distributed multi-orientable tensor model and we derive its 1/N expansion. In order to obtain this result, a partial classification of general tensor graphs is performed and the combinatorial notion of jacket is extended to the multi-orientable graphs. We prove that the leading sector is given, as in the case of colored models, by the so-called melon graphs.

7.884434

8.840315

10.960565

9.053683

9.724529

9.983963

8.716451

8.666218

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Aleksandr Zheltukhin

A. A. Zheltukhin

Linear space of spinor monomials and realization of the Nambu-Goldstone fermion in the Volkov-Akulov and Komargodski-Seiberg Lagrangians

10 pages

null

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

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

The analytical algorithm previously proposed by the author for matching the Volkov-Akulov (VA) and Komargodski-Seiberg (KS) actions describing the Nambu-Goldstone (NG) fermion, is discussed. The essence of the algotithm is explained, its consistency is proved and the recent results obtained with computer assistance are reproduced, when the proper Fierz rearrangements for Majorana bispinors are taken into account. We reveal a linear space of composite spinorial monomials $\Delta_{m}$ which are the solutions of the scalar constraint $(\partial^{m}\bar\psi\Delta_{m})=0$. This space is used to clarify relations between the KS and VA realizations of the NG fermionic field $\psi$.

[ { "created": "Sun, 12 Dec 2010 18:13:05 GMT", "version": "v1" } ]

2010-12-14

[ [ "Zheltukhin", "A. A.", "" ] ]

The analytical algorithm previously proposed by the author for matching the Volkov-Akulov (VA) and Komargodski-Seiberg (KS) actions describing the Nambu-Goldstone (NG) fermion, is discussed. The essence of the algotithm is explained, its consistency is proved and the recent results obtained with computer assistance are reproduced, when the proper Fierz rearrangements for Majorana bispinors are taken into account. We reveal a linear space of composite spinorial monomials $\Delta_{m}$ which are the solutions of the scalar constraint $(\partial^{m}\bar\psi\Delta_{m})=0$. This space is used to clarify relations between the KS and VA realizations of the NG fermionic field $\psi$.

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