LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9411221

null

Alex Deckmyn, Ruud Siebelink, Walter Troost and Alexander Sevrin

On the Lagrangian Realization of Non-Critical ${\cal W}$-Strings

19 pages, LaTeX (REVTEX macro's)

Phys. Rev. D 51, 6970 (1995)

10.1103/PhysRevD.51.6970

Preprint-KUL-TF-94/38 and CERN-TH.7477/94

hep-th

null

A large class of non-critical string theories with extended worldsheet gauge symmetry are described by two coupled, gauged Wess-Zumino-Witten Models. We give a detailed analysis of the gauge invariant action and in particular the gauge fixing procedure and the resulting BRST symmetries. The results are applied to the example of ${\cal W}_3$ strings.

[ { "created": "Tue, 29 Nov 1994 18:56:23 GMT", "version": "v1" } ]

2016-08-24

[ [ "Deckmyn", "Alex", "" ], [ "Siebelink", "Ruud", "" ], [ "Troost", "Walter", "" ], [ "Sevrin", "Alexander", "" ] ]

A large class of non-critical string theories with extended worldsheet gauge symmetry are described by two coupled, gauged Wess-Zumino-Witten Models. We give a detailed analysis of the gauge invariant action and in particular the gauge fixing procedure and the resulting BRST symmetries. The results are applied to the example of ${\cal W}_3$ strings.

9.43546

7.107136

9.76107

6.68313

7.670411

7.323517

7.636912

7.168791

7.208655

9.250826

7.024963

6.987114

8.022097

7.42734

7.297087

7.244931

7.058135

7.143432

7.45919

7.720048

7.300318

1110.6355

Jacopo Viti

Gesualdo Delfino and Jacopo Viti

Crossing probability and number of crossing clusters in off-critical percolation

13 pages, 5 figures. Published version with references, appendix and comparison with numerics added

J. Phys. A: Math. Theor. 45 (2012) 032005

10.1088/1751-8113/45/3/032005

null

hep-th cond-mat.stat-mech

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

We consider two-dimensional percolation in the scaling limit close to criticality and use integrable field theory to obtain universal predictions for the probability that at least one cluster crosses between opposite sides of a rectangle of sides much larger than the correlation length and for the mean number of such crossing clusters.

[ { "created": "Fri, 28 Oct 2011 14:46:59 GMT", "version": "v1" }, { "created": "Mon, 19 Dec 2011 17:43:25 GMT", "version": "v2" } ]

2014-10-09

[ [ "Delfino", "Gesualdo", "" ], [ "Viti", "Jacopo", "" ] ]

We consider two-dimensional percolation in the scaling limit close to criticality and use integrable field theory to obtain universal predictions for the probability that at least one cluster crosses between opposite sides of a rectangle of sides much larger than the correlation length and for the mean number of such crossing clusters.

9.818931

9.755333

11.075607

9.689536

9.894927

10.321489

8.729986

9.456997

9.586575

13.277572

10.047285

9.182069

10.384165

9.360952

8.591944

9.1223

8.524921

9.648236

9.418691

10.516802

9.002758

hep-th/9806084

Tatsuo Suzuki

Kazuyuki Fujii, Yasushi Homma and Tatsuo Suzuki

Nonlinear Grassmann Sigma Models in Any Dimension and An Infinite Number of Conserved Currents

11 pages, AMSLaTex

Phys.Lett. B438 (1998) 290-294

10.1016/S0370-2693(98)00981-2

null

hep-th

null

We first consider nonlinear Grassmann sigma models in any dimension and next construct their submodels. For these models we construct an infinite number of nontrivial conserved currents. Our result is independent of time-space dimensions and, therfore, is a full generalization of that of authors (Alvarez, Ferreira and Guillen). Our result also suggests that our method may be applied to other nonlinear sigma models such as chiral models, $G/H$ sigma models in any dimension.

[ { "created": "Thu, 11 Jun 1998 09:03:30 GMT", "version": "v1" } ]

2009-10-31

[ [ "Fujii", "Kazuyuki", "" ], [ "Homma", "Yasushi", "" ], [ "Suzuki", "Tatsuo", "" ] ]

We first consider nonlinear Grassmann sigma models in any dimension and next construct their submodels. For these models we construct an infinite number of nontrivial conserved currents. Our result is independent of time-space dimensions and, therfore, is a full generalization of that of authors (Alvarez, Ferreira and Guillen). Our result also suggests that our method may be applied to other nonlinear sigma models such as chiral models, $G/H$ sigma models in any dimension.

14.694382

12.04624

15.404893

12.650176

12.175558

11.202094

12.658129

12.407721

12.313831

17.211771

12.419026

12.834097

14.638392

13.78027

12.848285

13.131613

12.468557

12.728822

13.879601

14.151422

13.396655

1708.05323

Fei Yan

Andrew Neitzke, Fei Yan

Line defect Schur indices, Verlinde algebras and $U(1)_r$ fixed points

64 pages, 21 figures. v2 published version, references updated

JHEP11(2017)035

10.1007/JHEP11(2017)035

UTTG-05-17

hep-th math.AG math.RT

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

Given an $\mathcal{N}=2$ superconformal field theory, we reconsider the Schur index $\mathcal{I}_L(q)$ in the presence of a half line defect $L$. Recently Cordova-Gaiotto-Shao found that $\mathcal{I}_L(q)$ admits an expansion in terms of characters of the chiral algebra $\mathcal{A}$ introduced by Beem et al., with simple coefficients $v_{L,\beta}(q)$. We report a puzzling new feature of this expansion: the $q \to 1$ limit of the coefficients $v_{L_,\beta}(q)$ is linearly related to the vacuum expectation values $\langle L \rangle$ in $U(1)_r$-invariant vacua of the theory compactified on $S^1$. This relation can be expressed algebraically as a commutative diagram involving three algebras: the algebra generated by line defects, the algebra of functions on $U(1)_r$-invariant vacua, and a Verlinde-like algebra associated to $\mathcal{A}$. Our evidence is experimental, by direct computation in the Argyres-Douglas theories of type $(A_1,A_2)$, $(A_1,A_4)$, $(A_1, A_6)$, $(A_1, D_3)$ and $(A_1, D_5)$. In the latter two theories, which have flavor symmetries, the Verlinde-like algebra which appears is a new deformation of algebras previously considered.

[ { "created": "Thu, 17 Aug 2017 14:56:41 GMT", "version": "v1" }, { "created": "Tue, 12 Dec 2017 18:59:09 GMT", "version": "v2" } ]

2017-12-13

[ [ "Neitzke", "Andrew", "" ], [ "Yan", "Fei", "" ] ]

Given an $\mathcal{N}=2$ superconformal field theory, we reconsider the Schur index $\mathcal{I}_L(q)$ in the presence of a half line defect $L$. Recently Cordova-Gaiotto-Shao found that $\mathcal{I}_L(q)$ admits an expansion in terms of characters of the chiral algebra $\mathcal{A}$ introduced by Beem et al., with simple coefficients $v_{L,\beta}(q)$. We report a puzzling new feature of this expansion: the $q \to 1$ limit of the coefficients $v_{L_,\beta}(q)$ is linearly related to the vacuum expectation values $\langle L \rangle$ in $U(1)_r$-invariant vacua of the theory compactified on $S^1$. This relation can be expressed algebraically as a commutative diagram involving three algebras: the algebra generated by line defects, the algebra of functions on $U(1)_r$-invariant vacua, and a Verlinde-like algebra associated to $\mathcal{A}$. Our evidence is experimental, by direct computation in the Argyres-Douglas theories of type $(A_1,A_2)$, $(A_1,A_4)$, $(A_1, A_6)$, $(A_1, D_3)$ and $(A_1, D_5)$. In the latter two theories, which have flavor symmetries, the Verlinde-like algebra which appears is a new deformation of algebras previously considered.

5.108862

5.327438

6.49421

5.06654

5.466817

5.272567

5.28573

4.84837

5.095561

6.475612

5.180242

4.987263

5.331282

4.994173

4.857617

4.951837

5.003873

4.983676

4.953042

5.415512

5.032682

1106.0213

Glenn Barnich

Glenn Barnich and Cedric Troessaert

BMS charge algebra

25 pages Latex file, extended discussions in sections 3 and 5

null

10.1007/JHEP12(2011)105

ULB-TH/11-10

hep-th gr-qc

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

The surface charges associated with the symmetries of asymptotically flat four dimensional spacetimes at null infinity are constructed. They realize the symmetry algebra in general only up to a field-dependent central extension that satisfies a suitably generalized cocycle condition. This extension vanishes when using the globally well defined BMS algebra. For the Kerr black hole and the enlarged BMS algebra with both supertranslations and superrotations, some of the supertranslations charges diverge whereas there are no divergences for the superrotation charges. The central extension is proportional to the rotation parameter and involves divergent integrals on the sphere.

[ { "created": "Wed, 1 Jun 2011 15:58:36 GMT", "version": "v1" }, { "created": "Tue, 25 Oct 2011 15:30:14 GMT", "version": "v2" } ]

2015-05-28

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

The surface charges associated with the symmetries of asymptotically flat four dimensional spacetimes at null infinity are constructed. They realize the symmetry algebra in general only up to a field-dependent central extension that satisfies a suitably generalized cocycle condition. This extension vanishes when using the globally well defined BMS algebra. For the Kerr black hole and the enlarged BMS algebra with both supertranslations and superrotations, some of the supertranslations charges diverge whereas there are no divergences for the superrotation charges. The central extension is proportional to the rotation parameter and involves divergent integrals on the sphere.

11.982689

10.08747

10.715788

9.709969

10.528815

10.897214

10.34809

9.377542

10.829309

12.909388

10.011995

10.675101

10.663981

10.186096

10.596881

10.508244

10.767626

10.154274

10.350718

10.905209

10.322892

1310.2772

Emil Nissimov

Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva, Mahary Vasihoun

Dynamical Volume Element in Scale-Invariant and Supergravity Theories

6 pages, invited talk at Second Bulgarian National Congress in Physics, Sept. 2013; v.2 - important key word added in abstract, minor typos corrected

Bulgarian Journal of Physics 40 (2013) 121-126

null

hep-th

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

The use in the action integral of a volume element of the form $\Phi d^{D}x$, where $\Phi$ is a metric-independent measure density, can yield new interesting results in all types of known generally coordinate-invariant theories: (1) 4-D theories of gravity plus matter fields; (2) reparametrization invariant theories of extended objects (strings and branes); (3) supergravity theories. In case (1) we obtain interesting insights concerning the cosmological constant problem, inflation and quintessence without the fifth force problem. In case (2) the above formalism leads to dynamically induced tension and to string models of non-abelian confinement. In case (3), we show that the modified-measure supergravity generates an arbitrary dynamically induced cosmological constant, i.e., a new mechanism of dynamical supersymmetry breaking.

[ { "created": "Thu, 10 Oct 2013 11:10:56 GMT", "version": "v1" }, { "created": "Tue, 29 Oct 2013 19:04:01 GMT", "version": "v2" } ]

2013-11-15

[ [ "Guendelman", "Eduardo", "" ], [ "Nissimov", "Emil", "" ], [ "Pacheva", "Svetlana", "" ], [ "Vasihoun", "Mahary", "" ] ]

The use in the action integral of a volume element of the form $\Phi d^{D}x$, where $\Phi$ is a metric-independent measure density, can yield new interesting results in all types of known generally coordinate-invariant theories: (1) 4-D theories of gravity plus matter fields; (2) reparametrization invariant theories of extended objects (strings and branes); (3) supergravity theories. In case (1) we obtain interesting insights concerning the cosmological constant problem, inflation and quintessence without the fifth force problem. In case (2) the above formalism leads to dynamically induced tension and to string models of non-abelian confinement. In case (3), we show that the modified-measure supergravity generates an arbitrary dynamically induced cosmological constant, i.e., a new mechanism of dynamical supersymmetry breaking.

11.306668

8.394299

10.130132

9.16783

8.490078

8.887669

8.881011

8.461736

9.313518

11.354072

9.572954

10.026263

10.315484

10.363728

10.134671

10.258701

10.117713

9.961444

10.04274

10.615479

10.397264

1511.08955

Michael Gutperle

Michael Gutperle and John D. Miller

Entanglement entropy at holographic interfaces

15 pages, 2 figures, pdflatex. v2: reference added, typos corrected

Phys. Rev. D 93, 026006 (2016)

10.1103/PhysRevD.93.026006

null

hep-th

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

In this note we calculate the holographic entanglement entropy in the presence of a conformal interface for a geometric configuration in which the entangling region ${\cal A}$ lies on one side of the interface. For the supersymmetric Janus solution we find exact agreement between the holographic and CFT calculation of the entanglement entropy.

[ { "created": "Sun, 29 Nov 2015 01:50:53 GMT", "version": "v1" }, { "created": "Wed, 6 Jan 2016 19:32:53 GMT", "version": "v2" } ]

2016-01-20

[ [ "Gutperle", "Michael", "" ], [ "Miller", "John D.", "" ] ]

In this note we calculate the holographic entanglement entropy in the presence of a conformal interface for a geometric configuration in which the entangling region ${\cal A}$ lies on one side of the interface. For the supersymmetric Janus solution we find exact agreement between the holographic and CFT calculation of the entanglement entropy.

6.049926

5.17899

6.782648

5.11523

5.266128

4.92437

4.880111

4.919729

5.319763

8.410796

4.978243

5.081159

6.379156

5.508392

5.305538

5.252625

5.375082

5.154762

5.18031

6.337161

5.060572

hep-th/9903133

Osamu Abe

A New Basis Function Approach to 't Hooft-Bergknoff-Eller Equations

16 pages, 3 figures

Phys. Rev. D 60, 105040 (1999)

10.1103/PhysRevD.60.105040

HUEAP-012

hep-th

null

We analytically and numerically investigate the 't Hooft-Bergknoff-Eller equations, the lowest order mesonic Light-Front Tamm-Dancoff equations for U(N_C) and SU(N_C) gauge theories. We find the wavefunction can be well approximated by new basis functions and obtain an analytic formula for the mass of the lightest bound state. Its value is consistent with the precedent results.

[ { "created": "Tue, 16 Mar 1999 04:40:27 GMT", "version": "v1" }, { "created": "Wed, 17 Mar 1999 01:38:53 GMT", "version": "v2" }, { "created": "Thu, 24 Jun 1999 23:52:48 GMT", "version": "v3" } ]

2016-08-25

[ [ "Abe", "Osamu", "" ] ]

We analytically and numerically investigate the 't Hooft-Bergknoff-Eller equations, the lowest order mesonic Light-Front Tamm-Dancoff equations for U(N_C) and SU(N_C) gauge theories. We find the wavefunction can be well approximated by new basis functions and obtain an analytic formula for the mass of the lightest bound state. Its value is consistent with the precedent results.

15.048659

11.628201

16.164637

12.840252

12.746402

10.70312

13.198147

11.762063

10.157644

16.178139

12.137372

13.242417

14.549332

13.770092

14.443665

14.22424

13.397929

13.937208

13.500522

15.160355

13.576221

hep-th/9502078

Won-Tae Kim

Won T. Kim and Julian Lee

ADM, Bondi mass, and energy conservation in two-dimensional dilaton gravities

11 pages, latex, no figures

Int.J.Mod.Phys. A11 (1996) 553-562

10.1142/S0217751X96000250

SNUTP 95-005

hep-th

null

We show how a stress-energy pseudotensor can be constructed in two-dimensional dilatonic gravity theories (classical, CGHS and RST) and derive the expression for the ADM mass in these theories from it. We define the Bondi mass for these theories by using the pseudotensor formalism. The resulting expression is the generalization of the expression for the ADM mass. The boundary condition needed for the energy conservation is also investigated. It is shown that under appropriate boundary conditions, our definition of the Bondi mass is exactly the ADM mass minus the matter radiation energy at null infinity.

[ { "created": "Tue, 14 Feb 1995 06:02:41 GMT", "version": "v1" } ]

2015-06-26

[ [ "Kim", "Won T.", "" ], [ "Lee", "Julian", "" ] ]

We show how a stress-energy pseudotensor can be constructed in two-dimensional dilatonic gravity theories (classical, CGHS and RST) and derive the expression for the ADM mass in these theories from it. We define the Bondi mass for these theories by using the pseudotensor formalism. The resulting expression is the generalization of the expression for the ADM mass. The boundary condition needed for the energy conservation is also investigated. It is shown that under appropriate boundary conditions, our definition of the Bondi mass is exactly the ADM mass minus the matter radiation energy at null infinity.

9.828642

9.533151

9.251049

8.005039

8.534798

8.858764

9.532206

9.493035

8.480149

10.107218

8.371881

8.865263

9.328166

8.856672

9.119355

9.080206

8.892806

8.951982

8.995002

9.653079

8.820344

2304.01259

Dong-Yu Hong

Dong-Yu Hong, Zhuo-Hui Wang and Shuang-Yong Zhou

Causality bounds on scalar-tensor EFTs

76 pages, 15 figures; to appear in JHEP

null

hep-th astro-ph.CO gr-qc

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

We compute the causality/positivity bounds on the Wilson coefficients of scalar-tensor effective field theories. Two-sided bounds are obtained by extracting IR information from UV physics via dispersion relations of scattering amplitudes, making use of the full crossing symmetry. The graviton $t$-channel pole is carefully treated in the numerical optimization, taking into account the constraints with fixed impact parameters. It is shown that the typical sizes of the Wilson coefficients can be estimated by simply inspecting the dispersion relations. We carve out sharp bounds on the leading coefficients, particularly, the scalar-Gauss-Bonnet couplings, and discuss how some bounds vary with the leading $(\partial\phi)^4$ coefficient and as well as phenomenological implications of the causality bounds.

[ { "created": "Mon, 3 Apr 2023 18:00:05 GMT", "version": "v1" }, { "created": "Sat, 21 Oct 2023 10:27:16 GMT", "version": "v2" } ]

2023-10-24

[ [ "Hong", "Dong-Yu", "" ], [ "Wang", "Zhuo-Hui", "" ], [ "Zhou", "Shuang-Yong", "" ] ]

We compute the causality/positivity bounds on the Wilson coefficients of scalar-tensor effective field theories. Two-sided bounds are obtained by extracting IR information from UV physics via dispersion relations of scattering amplitudes, making use of the full crossing symmetry. The graviton $t$-channel pole is carefully treated in the numerical optimization, taking into account the constraints with fixed impact parameters. It is shown that the typical sizes of the Wilson coefficients can be estimated by simply inspecting the dispersion relations. We carve out sharp bounds on the leading coefficients, particularly, the scalar-Gauss-Bonnet couplings, and discuss how some bounds vary with the leading $(\partial\phi)^4$ coefficient and as well as phenomenological implications of the causality bounds.

15.71891

14.622023

15.871222

14.910301

14.275089

13.867132

13.581562

15.075356

14.742213

18.315046

14.475036

14.416946

15.40236

14.777129

14.291806

14.630988

14.578864

14.968181

14.67917

15.260396

14.607604

2112.06335

Ilya Kochergin

I. V. Kochergin

On Calabi-Yau manifolds in weighted projective spaces and their mirror GLSMs

20 pages, improved the display of references

null

10.1103/PhysRevD.105.066008

null

hep-th

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

The goal of the present paper is to calculate the complex structure moduli space K\"ahler potentials for hypersurfaces in weighted projective spaces and compare with the partition functions of their mirror GLSMs. We explicitly perform the K\"ahler potential computation and show that the corresponding formula is well-defined in case of quasismooth hypersurfaces. We then construct the mirror GLSM with an appropriate number of K\"ahler parameters and discuss the interpretation of its partition function in terms of mirror symmetry. Namely, it is shown that different contributions to the partition function are related to various charts of the complex structure moduli space.

[ { "created": "Sun, 12 Dec 2021 22:11:04 GMT", "version": "v1" }, { "created": "Tue, 14 Dec 2021 22:23:12 GMT", "version": "v2" }, { "created": "Tue, 4 Jan 2022 19:54:21 GMT", "version": "v3" }, { "created": "Thu, 20 Jan 2022 02:42:25 GMT", "version": "v4" } ]

2022-04-06

[ [ "Kochergin", "I. V.", "" ] ]

The goal of the present paper is to calculate the complex structure moduli space K\"ahler potentials for hypersurfaces in weighted projective spaces and compare with the partition functions of their mirror GLSMs. We explicitly perform the K\"ahler potential computation and show that the corresponding formula is well-defined in case of quasismooth hypersurfaces. We then construct the mirror GLSM with an appropriate number of K\"ahler parameters and discuss the interpretation of its partition function in terms of mirror symmetry. Namely, it is shown that different contributions to the partition function are related to various charts of the complex structure moduli space.

7.878398

7.943362

8.21587

8.006442

8.154632

8.081349

7.373682

7.613585

7.389958

9.562737

7.714957

7.751544

8.244916

7.6693

7.466119

7.64579

7.559298

7.662093

7.383161

8.218778

7.428523

1211.1983

D. S. Berman

Joel Berkeley, David S. Berman

The Navier-Stokes equation and solution generating symmetries from holography

LateX, 24 pages, v2 references added and some improved discussion, v3 improved discussion and typos fixed

null

10.1007/JHEP04(2013)092

null

hep-th gr-qc

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

The fluid-gravity correspondence provides us with explicit spacetime metrics that are holographically dual to (non-)relativistic nonlinear hydrodynamics. The vacuum Einstein equations, in the presence of a Killing vector, possess solution-generating symmetries known as spacetime Ehlers transformations. These form a subgroup of the larger generalized Ehlers group acting on spacetimes with arbitrary matter content. We apply this generalized Ehlers group, in the presence of Killing isometries, to vacuum metrics with hydrodynamic duals to develop a formalism for solution-generating transformations of Navier-Stokes fluids. Using this we provide examples of a linear energy scaling from RG flow under vanishing vorticity, and a set of Z_2 symmetries for fixed viscosity.

[ { "created": "Thu, 8 Nov 2012 21:05:44 GMT", "version": "v1" }, { "created": "Fri, 21 Dec 2012 09:25:20 GMT", "version": "v2" }, { "created": "Fri, 15 Feb 2013 09:13:32 GMT", "version": "v3" } ]

2015-06-12

[ [ "Berkeley", "Joel", "" ], [ "Berman", "David S.", "" ] ]

The fluid-gravity correspondence provides us with explicit spacetime metrics that are holographically dual to (non-)relativistic nonlinear hydrodynamics. The vacuum Einstein equations, in the presence of a Killing vector, possess solution-generating symmetries known as spacetime Ehlers transformations. These form a subgroup of the larger generalized Ehlers group acting on spacetimes with arbitrary matter content. We apply this generalized Ehlers group, in the presence of Killing isometries, to vacuum metrics with hydrodynamic duals to develop a formalism for solution-generating transformations of Navier-Stokes fluids. Using this we provide examples of a linear energy scaling from RG flow under vanishing vorticity, and a set of Z_2 symmetries for fixed viscosity.

11.819296

12.285967

11.384841

11.683817

12.243444

11.784895

11.39271

11.695776

11.372033

12.350367

11.254025

11.017873

11.533678

11.219099

10.784627

11.219843

10.828233

10.879895

11.291105

11.486472

11.238122

1503.08207

Steven B. Giddings

Hilbert space structure in quantum gravity: an algebraic perspective

24 pages, harvmac. v2: added refs

null

10.1007/JHEP12(2015)099

null

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

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

If quantum gravity respects the principles of quantum mechanics, suitably generalized, it may be that a more viable approach to the theory is through identifying the relevant quantum structures rather than by quantizing classical spacetime. This viewpoint is supported by difficulties of such quantization, and by the apparent lack of a fundamental role for locality. In finite or discrete quantum systems, important structure is provided by tensor factorizations of the Hilbert space. However, even in local quantum field theory properties of the generic type III von Neumann algebras and of long range gauge fields indicate that factorization of the Hilbert space is problematic. Instead it is better to focus on the structure of the algebra of observables, and in particular on its subalgebras corresponding to regions. This paper suggests that study of analogous algebraic structure in gravity gives an important perspective on the nature of the quantum theory. Significant departures from the subalgebra structure of local quantum field theory are found, working in the correspondence limit of long-distances/low-energies. Particularly, there are obstacles to identifying commuting algebras of localized operators. In addition to suggesting important properties of the algebraic structure, this and related observations pose challenges to proposals of a fundamental role for entanglement.

[ { "created": "Fri, 27 Mar 2015 20:00:17 GMT", "version": "v1" }, { "created": "Tue, 18 Aug 2015 21:52:01 GMT", "version": "v2" } ]

2016-01-27

[ [ "Giddings", "Steven B.", "" ] ]

If quantum gravity respects the principles of quantum mechanics, suitably generalized, it may be that a more viable approach to the theory is through identifying the relevant quantum structures rather than by quantizing classical spacetime. This viewpoint is supported by difficulties of such quantization, and by the apparent lack of a fundamental role for locality. In finite or discrete quantum systems, important structure is provided by tensor factorizations of the Hilbert space. However, even in local quantum field theory properties of the generic type III von Neumann algebras and of long range gauge fields indicate that factorization of the Hilbert space is problematic. Instead it is better to focus on the structure of the algebra of observables, and in particular on its subalgebras corresponding to regions. This paper suggests that study of analogous algebraic structure in gravity gives an important perspective on the nature of the quantum theory. Significant departures from the subalgebra structure of local quantum field theory are found, working in the correspondence limit of long-distances/low-energies. Particularly, there are obstacles to identifying commuting algebras of localized operators. In addition to suggesting important properties of the algebraic structure, this and related observations pose challenges to proposals of a fundamental role for entanglement.

12.042688

13.502067

13.199199

12.173172

12.250607

13.75426

12.995687

12.351547

12.58712

14.134663

12.320225

11.684809

11.921014

11.61781

11.88389

11.970665

11.636832

11.773737

11.811217

12.287385

11.600883

hep-th/9909159

A. Demichev

Masud Chaichian and Kazuhiko Nishijima

The Goto-Imamura-Schwinger Term and Renormalization Group

LaTeX, 14 pages

Fiz.Elem.Chast.Atom.Yadra 31N7B:56-69,2000

null

HIP-1999-61/TH

hep-th

null

In connection with the question of color confinement the origin of the Goto-Imamura-Schwinger term has been studied with the help of renormalization group. An emphasis has been laid on the difference between theories with and without a cut-off.

[ { "created": "Wed, 22 Sep 1999 16:56:52 GMT", "version": "v1" } ]

2014-11-18

[ [ "Chaichian", "Masud", "" ], [ "Nishijima", "Kazuhiko", "" ] ]

In connection with the question of color confinement the origin of the Goto-Imamura-Schwinger term has been studied with the help of renormalization group. An emphasis has been laid on the difference between theories with and without a cut-off.

16.976564

14.468091

15.559418

14.790848

13.009692

14.754479

14.008549

13.738513

14.190594

14.964473

14.223508

15.087322

14.276767

13.225527

13.996664

14.122085

14.038844

14.586232

14.359473

14.331431

14.042989

2011.03337

Myungbo Shim

Jung-Wook Kim, Myungbo Shim

Quantum corrections to tidal Love number for Schwarzschild black holes

5 pages, no figure; Published Version; any comments welcome

Phys. Rev. D 104, 046022 (2021)

10.1103/PhysRevD.104.046022

QMUL-PH-20-31

hep-th gr-qc

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

A sum rule for tidal Love number is derived from quantum field theory computations, which relates tidal susceptibility of a spinless body to transition rates of its single graviton emission processes. An analogous sum rule for electromagnetism is given as an example, which is substantiated by comparing to the solved problem of the hydrogen atom. Based on the semiclassical Hawking radiation spectrum, a finite nonvanishing value for quantum corrections to the Love number of Schwarzschild black holes in general relativity is computed using the sum rule, which is known to classically vanish.

[ { "created": "Fri, 6 Nov 2020 13:23:16 GMT", "version": "v1" }, { "created": "Tue, 16 Mar 2021 08:49:11 GMT", "version": "v2" }, { "created": "Sat, 21 Aug 2021 13:34:42 GMT", "version": "v3" } ]

2021-08-24

[ [ "Kim", "Jung-Wook", "" ], [ "Shim", "Myungbo", "" ] ]

A sum rule for tidal Love number is derived from quantum field theory computations, which relates tidal susceptibility of a spinless body to transition rates of its single graviton emission processes. An analogous sum rule for electromagnetism is given as an example, which is substantiated by comparing to the solved problem of the hydrogen atom. Based on the semiclassical Hawking radiation spectrum, a finite nonvanishing value for quantum corrections to the Love number of Schwarzschild black holes in general relativity is computed using the sum rule, which is known to classically vanish.

15.64092

15.898126

14.695506

14.194521

14.700387

15.259111

14.94821

15.393516

12.831125

13.85325

15.299782

14.695265

14.352552

14.782591

14.397749

15.23521

14.14788

13.936128

14.306903

15.205468

14.079711

1803.11302

Yong Zhang

Song He, Gongwang Yan, Chi Zhang and Yong Zhang

Scattering Forms, Worldsheet Forms and Amplitudes from Subspaces

25+4 pages, a dozen figures, lots of polytopes

null

10.1007/JHEP08(2018)040

null

hep-th math-ph math.MP

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

We present a general construction of two types of differential forms, based on any $(n{-}3)$-dimensional subspace in the kinematic space of $n$ massless particles. The first type is the so-called projective, scattering forms in kinematic space, while the second is defined in the moduli space of $n$-punctured Riemann spheres which we call worldsheet forms. We show that the pushforward of worldsheet forms, by summing over solutions of scattering equations, gives the corresponding scattering forms, which generalizes the results of [1711.09102]. The pullback of scattering forms to subspaces can have natural interpretations as amplitudes in terms of Bern-Carrasco-Johansson double-copy construction or Cachazo-He-Yuan formula. As an application of our formalism, we construct in this way a large class of $d\log$ scattering forms and worldsheet forms, which are in one-to-one correspondence with non-planar MHV leading singularities in ${\cal N}=4$ super-Yang-Mills. For every leading singularity function, we present a new determinant formula in moduli space, as well as a (combinatoric) polytope and associated scattering form in kinematic space. These include the so-called Cayley cases, where in each case the scattering form is the canonical forms of a convex polytope in the subspace, and scattering equations admit elegant rewritings as a map from the moduli space to the subspace.

[ { "created": "Fri, 30 Mar 2018 01:18:51 GMT", "version": "v1" }, { "created": "Tue, 10 Jul 2018 17:42:27 GMT", "version": "v2" } ]

2018-08-29

[ [ "He", "Song", "" ], [ "Yan", "Gongwang", "" ], [ "Zhang", "Chi", "" ], [ "Zhang", "Yong", "" ] ]

We present a general construction of two types of differential forms, based on any $(n{-}3)$-dimensional subspace in the kinematic space of $n$ massless particles. The first type is the so-called projective, scattering forms in kinematic space, while the second is defined in the moduli space of $n$-punctured Riemann spheres which we call worldsheet forms. We show that the pushforward of worldsheet forms, by summing over solutions of scattering equations, gives the corresponding scattering forms, which generalizes the results of [1711.09102]. The pullback of scattering forms to subspaces can have natural interpretations as amplitudes in terms of Bern-Carrasco-Johansson double-copy construction or Cachazo-He-Yuan formula. As an application of our formalism, we construct in this way a large class of $d\log$ scattering forms and worldsheet forms, which are in one-to-one correspondence with non-planar MHV leading singularities in ${\cal N}=4$ super-Yang-Mills. For every leading singularity function, we present a new determinant formula in moduli space, as well as a (combinatoric) polytope and associated scattering form in kinematic space. These include the so-called Cayley cases, where in each case the scattering form is the canonical forms of a convex polytope in the subspace, and scattering equations admit elegant rewritings as a map from the moduli space to the subspace.

8.785198

8.226213

9.658439

8.290699

8.752294

8.811844

8.583473

8.355923

8.002044

11.280932

8.61471

8.662008

8.799851

8.568624

8.663313

8.682523

8.697216

8.586903

8.607652

9.207399

8.477244

2107.08005

Eduardo Guendelman I

Eduardo Guendelman

Light Like Segment Compactification and Braneworlds with Dynamical String Tension

17 pages. References added. This version has been accepted for publication in European Physics Journal C. arXiv admin note: substantial text overlap with arXiv:2105.02279, arXiv:2104.08875

null

10.1140/epjc/s10052-021-09646-z

null

hep-th

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

Braneworld scenarios appear in dynamical string tension theories, where string tension is positive between two surfaces separated by a short distance and at the two surfaces themselves the string tensions become infinite, therefore producing an effective confinement of the strings and therefore of all matter and gravity to the space between these to surfaces. The specific model studied is in the context of the modified measure formulation the string where tension appear as an additional dynamical degree of freedom and these tensions are not universal, but rather each string generates its own tension, which can have a different value for each string. We consider a new background field that can couple to these strings, the tension scalar is capable then of changing locally along the world sheet and then the value of the tension of the string object changes accordingly along the world sheet. Sting tension appears dynamically and each string tension has a characteristic constant of integration that appears as a consequence of the dynamical tension generation . When many types of strings probing the same region of space are considered this tension scalar is constrained by the requirement of quantum conformal invariance. For the case of two types of strings probing the same region of space with different dynamically generated tensions (characterized by different constants of integration) , there are two different metrics, associated to the different strings, that have to satisfy vacuum Einsteins equations and the consistency of these two Einsteins equations determine that the tension field behaves. The two metrics are flat space in Minkowshi space and flat space after a special conformal transformation, then the strings are confined inside a light like Segment or alternatively as expanding Braneworlds where the strings are confined between two expanding bubbles.

[ { "created": "Fri, 16 Jul 2021 16:51:51 GMT", "version": "v1" }, { "created": "Sat, 11 Sep 2021 16:21:10 GMT", "version": "v2" } ]

2021-10-27

[ [ "Guendelman", "Eduardo", "" ] ]

Braneworld scenarios appear in dynamical string tension theories, where string tension is positive between two surfaces separated by a short distance and at the two surfaces themselves the string tensions become infinite, therefore producing an effective confinement of the strings and therefore of all matter and gravity to the space between these to surfaces. The specific model studied is in the context of the modified measure formulation the string where tension appear as an additional dynamical degree of freedom and these tensions are not universal, but rather each string generates its own tension, which can have a different value for each string. We consider a new background field that can couple to these strings, the tension scalar is capable then of changing locally along the world sheet and then the value of the tension of the string object changes accordingly along the world sheet. Sting tension appears dynamically and each string tension has a characteristic constant of integration that appears as a consequence of the dynamical tension generation . When many types of strings probing the same region of space are considered this tension scalar is constrained by the requirement of quantum conformal invariance. For the case of two types of strings probing the same region of space with different dynamically generated tensions (characterized by different constants of integration) , there are two different metrics, associated to the different strings, that have to satisfy vacuum Einsteins equations and the consistency of these two Einsteins equations determine that the tension field behaves. The two metrics are flat space in Minkowshi space and flat space after a special conformal transformation, then the strings are confined inside a light like Segment or alternatively as expanding Braneworlds where the strings are confined between two expanding bubbles.

18.931232

15.934856

20.880959

17.143559

18.658068

17.56679

16.867754

17.113295

17.794737

21.928991

17.132324

17.608583

18.901426

18.438583

18.315981

18.314932

17.660202

18.144533

18.154858

18.652271

17.706835

2010.15610

Per Berglund

Per Berglund, Tristan H\"ubsch and Djordje Minic

String Theory, the Dark Sector and the Hierarchy Problem

10 pages, typo fixed, reference added

LHEP 2021 (2021) 186

10.31526/lhep.2021.186

null

hep-th gr-qc

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

We discuss dark energy, dark matter and the hierarchy problem in the context of a general non-commutative formulation of string theory. In this framework dark energy is generated by the dynamical geometry of the dual spacetime while dark matter, on the other hand, comes from the degrees of freedom dual to the visible matter. This formulation of string theory is sensitive both to the IR and UV scales and the Higgs scale is radiatively stable by being a geometric mean of radiatively stable UV and IR scales. We also comment on various phenomenological signatures of this novel approach to dark energy, dark matter and the hierarchy problem. We find that this new view on the hierarchy problem is realized in a toy model based on a non-holomorphic deformation of the stringy cosmic string. Finally, we discuss a proposal for a new non-perturbative formulation of string theory, which sheds light on M theory and F theory, as well as on supersymmetry and holography.

[ { "created": "Thu, 29 Oct 2020 13:58:50 GMT", "version": "v1" }, { "created": "Thu, 14 Jan 2021 18:25:17 GMT", "version": "v2" } ]

2021-02-05

[ [ "Berglund", "Per", "" ], [ "Hübsch", "Tristan", "" ], [ "Minic", "Djordje", "" ] ]

We discuss dark energy, dark matter and the hierarchy problem in the context of a general non-commutative formulation of string theory. In this framework dark energy is generated by the dynamical geometry of the dual spacetime while dark matter, on the other hand, comes from the degrees of freedom dual to the visible matter. This formulation of string theory is sensitive both to the IR and UV scales and the Higgs scale is radiatively stable by being a geometric mean of radiatively stable UV and IR scales. We also comment on various phenomenological signatures of this novel approach to dark energy, dark matter and the hierarchy problem. We find that this new view on the hierarchy problem is realized in a toy model based on a non-holomorphic deformation of the stringy cosmic string. Finally, we discuss a proposal for a new non-perturbative formulation of string theory, which sheds light on M theory and F theory, as well as on supersymmetry and holography.

8.205828

8.561088

8.940873

8.023807

8.628254

8.183104

8.102493

8.435105

8.006065

8.535901

8.022003

8.008028

8.281129

8.160425

8.040602

8.09162

8.036739

7.979452

8.158825

8.070378

7.776909

hep-th/0003094

Luka Sustersic

Marijan Ribaric and Luka Sustersic

Realistic regularization of the QED Green functions

null

hep-th

null

Generalizing the 't Hooft and Veltman method of unitary regulators, we demonstrate for the first time the existence of local, Lorentz-invariant, physically motivated Lagrangians of quantum-electrodynamic phenomena such that: (i) Feynman diagrams are finite and equal the diagrams of QED but with regularized propagators. (ii) N-point Green functions are C-, P-, and T-invariant up to a phase factor, Lorentz-invariant and causal. (iii) No auxiliary particles or parameters are introduced.

[ { "created": "Mon, 13 Mar 2000 13:44:52 GMT", "version": "v1" }, { "created": "Mon, 2 Jul 2001 07:02:27 GMT", "version": "v2" } ]

2007-05-23

[ [ "Ribaric", "Marijan", "" ], [ "Sustersic", "Luka", "" ] ]

Generalizing the 't Hooft and Veltman method of unitary regulators, we demonstrate for the first time the existence of local, Lorentz-invariant, physically motivated Lagrangians of quantum-electrodynamic phenomena such that: (i) Feynman diagrams are finite and equal the diagrams of QED but with regularized propagators. (ii) N-point Green functions are C-, P-, and T-invariant up to a phase factor, Lorentz-invariant and causal. (iii) No auxiliary particles or parameters are introduced.

11.396804

6.965285

9.664534

7.959444

6.656658

7.003779

6.557921

7.338418

7.8982

11.397856

8.407494

9.325391

10.096609

9.209792

9.155704

9.28744

9.648857

9.018688

9.569215

10.54798

9.799473

hep-th/9404033

Nakano

Hiroaki Nakano

Scalar Mass and Cosmological Constant induced by ``Anomalous" $U(1)$ $D$-term

8p, KUNS-1257,HETH-94/05

null

hep-th

null

When the supersymmetric theory contains the ``anomalous" $U(1)$ gauge symmetry with Green-Schwarz anomaly cancellation mechanism in 4 dimensions, its Fayet-Iliopoulos $D$-term generates non-universal scalar masses and the positive cosmological constant after the supersymmetry breaking. Both give the new contributions to the known results from $F$-term. Our mechanism is naturally realized in many string models and in some cases, leads to remarkable cancellations between $F$- and $D$-term contributions, providing the universal scalar mass and vanishing cosmological constant. We illustrate how such a possibility can arise by taking a simple orbifold example.

[ { "created": "Wed, 6 Apr 1994 13:56:26 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nakano", "Hiroaki", "" ] ]

When the supersymmetric theory contains the ``anomalous" $U(1)$ gauge symmetry with Green-Schwarz anomaly cancellation mechanism in 4 dimensions, its Fayet-Iliopoulos $D$-term generates non-universal scalar masses and the positive cosmological constant after the supersymmetry breaking. Both give the new contributions to the known results from $F$-term. Our mechanism is naturally realized in many string models and in some cases, leads to remarkable cancellations between $F$- and $D$-term contributions, providing the universal scalar mass and vanishing cosmological constant. We illustrate how such a possibility can arise by taking a simple orbifold example.

9.520409

8.2715

8.302648

7.93374

8.443164

8.52689

8.548055

8.509244

7.953766

8.675698

8.641267

8.680511

8.176846

8.25587

8.603487

8.917603

8.204439

8.504263

8.288321

8.360771

9.03218

1205.0120

Zahra Rezaei

Boundary Super-Deformations, Boundary States, and Tachyon Condensation

18 pages, no figure

Phys. Rev. D 85, 086011 (2012)

10.1103/PhysRevD.85.086011

null

hep-th

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

The open string tachyon and U(1) gauge field as longitudinal fluctuations and the velocity as transverse fluctuation of an arbitrary dimensional D-brane are considered as boundary deformations of a closed superstring free action. The path integral approach will be applied to calculate the corresponding generalized boundary states using supersymmetrized boundary actions. Obtaining the disk partition functions from the boundary states and studying the effect of tachyon condensation on both of them in the NSNS and RR sectors, leads to results that differ from the established ones.

[ { "created": "Tue, 1 May 2012 09:05:05 GMT", "version": "v1" } ]

2013-12-31

[ [ "Rezaei", "Zahra", "" ] ]

The open string tachyon and U(1) gauge field as longitudinal fluctuations and the velocity as transverse fluctuation of an arbitrary dimensional D-brane are considered as boundary deformations of a closed superstring free action. The path integral approach will be applied to calculate the corresponding generalized boundary states using supersymmetrized boundary actions. Obtaining the disk partition functions from the boundary states and studying the effect of tachyon condensation on both of them in the NSNS and RR sectors, leads to results that differ from the established ones.

18.183952

14.45258

21.123203

14.392573

16.688391

16.255531

14.716718

13.608076

15.215205

22.507164

15.234698

15.56973

17.706108

15.358927

15.004582

15.677781

15.200518

15.042812

15.331196

17.12915

15.156942

hep-th/0106163

Benjamin Grinstein

Benjamin Grinstein (UCSD) and Detlef R. Nolte (IAS)

Bulk Observers in Non-Factorizable Geometries

11 pages, dedicated to the memory of Detlef Nolte

Phys.Rev. D64 (2001) 085017

10.1103/PhysRevD.64.085017

UCSD/PTH 01-11

hep-th

null

We consider five dimensional non-factorizable geometries where the transverse dimension is bounded and the remaining (parallel) dimensions are not. We study the construction of effective theories at distances much longer than the transverse size. An observer unable to resolve the transverse direction can only measure distances along the parallel dimensions, but the non-factorizable geometry makes the length of a curve along the parallel dimension sensitive to where on the transverse direction the curve lies. We show that long geodesics that differ in their endpoints only by shifts along the transverse direction all have the same length to within the observer's resolution. We argue that this is the correct notion of distance in the effective theory for a bulk observer. This allows us to present a consistent interpretation of what is measured by observers that live either on a brane or in the bulk.

[ { "created": "Mon, 18 Jun 2001 23:18:48 GMT", "version": "v1" } ]

2009-11-07

[ [ "Grinstein", "Benjamin", "", "UCSD" ], [ "Nolte", "Detlef R.", "", "IAS" ] ]

We consider five dimensional non-factorizable geometries where the transverse dimension is bounded and the remaining (parallel) dimensions are not. We study the construction of effective theories at distances much longer than the transverse size. An observer unable to resolve the transverse direction can only measure distances along the parallel dimensions, but the non-factorizable geometry makes the length of a curve along the parallel dimension sensitive to where on the transverse direction the curve lies. We show that long geodesics that differ in their endpoints only by shifts along the transverse direction all have the same length to within the observer's resolution. We argue that this is the correct notion of distance in the effective theory for a bulk observer. This allows us to present a consistent interpretation of what is measured by observers that live either on a brane or in the bulk.

9.474826

9.491367

9.543373

8.794436

10.472103

9.367875

9.524652

9.307179

9.491901

10.935898

9.269716

9.0471

9.446115

9.161319

8.824612

8.718507

9.177678

8.769403

9.04978

9.227019

8.604888

0705.4006

Anton Zabrodin

A. Zabrodin

Backlund transformations for difference Hirota equation and supersymmetric Bethe ansatz

22 pages, 2 figures, based on the talk given at the Workshop "Classical and Quantum Integrable Systems", Dubna, January 2007

null

10.1007/s11232-008-0047-2

ITEP-TH-21/07

hep-th nlin.SI

null

We consider GL(K|M)-invariant integrable supersymmetric spin chains with twisted boundary conditions and elucidate the role of Backlund transformations in solving the difference Hirota equation for eigenvalues of their transfer matrices. The nested Bethe ansatz technique is shown to be equivalent to a chain of successive Backlund transformations "undressing" the original problem to a trivial one.

[ { "created": "Mon, 28 May 2007 14:05:11 GMT", "version": "v1" } ]

2009-11-13

[ [ "Zabrodin", "A.", "" ] ]

We consider GL(K|M)-invariant integrable supersymmetric spin chains with twisted boundary conditions and elucidate the role of Backlund transformations in solving the difference Hirota equation for eigenvalues of their transfer matrices. The nested Bethe ansatz technique is shown to be equivalent to a chain of successive Backlund transformations "undressing" the original problem to a trivial one.

12.293905

12.246562

13.74362

10.442815

11.25297

11.486719

10.720717

11.605698

11.65123

15.472694

10.472727

10.84333

12.239799

11.302385

12.000565

11.57277

11.698916

11.397709

11.594278

13.664278

10.845169

hep-th/0602178

Allan Adams

Allan Adams, Nima Arkani-Hamed, Sergei Dubovsky, Alberto Nicolis, Riccardo Rattazzi

Causality, Analyticity and an IR Obstruction to UV Completion

34 pages, 10 figures; v2: analyticity arguments improved, discussion on non-commutative theories and minor clarifications added

JHEP 0610:014,2006

10.1088/1126-6708/2006/10/014

null

hep-th hep-ph

null

We argue that certain apparently consistent low-energy effective field theories described by local, Lorentz-invariant Lagrangians, secretly exhibit macroscopic non-locality and cannot be embedded in any UV theory whose S-matrix satisfies canonical analyticity constraints. The obstruction involves the signs of a set of leading irrelevant operators, which must be strictly positive to ensure UV analyticity. An IR manifestation of this restriction is that the "wrong" signs lead to superluminal fluctuations around non-trivial backgrounds, making it impossible to define local, causal evolution, and implying a surprising IR breakdown of the effective theory. Such effective theories can not arise in quantum field theories or weakly coupled string theories, whose S-matrices satisfy the usual analyticity properties. This conclusion applies to the DGP brane-world model modifying gravity in the IR, giving a simple explanation for the difficulty of embedding this model into controlled stringy backgrounds, and to models of electroweak symmetry breaking that predict negative anomalous quartic couplings for the W and Z. Conversely, any experimental support for the DGP model, or measured negative signs for anomalous quartic gauge boson couplings at future accelerators, would constitute direct evidence for the existence of superluminality and macroscopic non-locality unlike anything previously seen in physics, and almost incidentally falsify both local quantum field theory and perturbative string theory.

[ { "created": "Mon, 20 Feb 2006 20:30:07 GMT", "version": "v1" }, { "created": "Fri, 31 Mar 2006 22:47:25 GMT", "version": "v2" } ]

2009-11-11

[ [ "Adams", "Allan", "" ], [ "Arkani-Hamed", "Nima", "" ], [ "Dubovsky", "Sergei", "" ], [ "Nicolis", "Alberto", "" ], [ "Rattazzi", "Riccardo", "" ] ]

We argue that certain apparently consistent low-energy effective field theories described by local, Lorentz-invariant Lagrangians, secretly exhibit macroscopic non-locality and cannot be embedded in any UV theory whose S-matrix satisfies canonical analyticity constraints. The obstruction involves the signs of a set of leading irrelevant operators, which must be strictly positive to ensure UV analyticity. An IR manifestation of this restriction is that the "wrong" signs lead to superluminal fluctuations around non-trivial backgrounds, making it impossible to define local, causal evolution, and implying a surprising IR breakdown of the effective theory. Such effective theories can not arise in quantum field theories or weakly coupled string theories, whose S-matrices satisfy the usual analyticity properties. This conclusion applies to the DGP brane-world model modifying gravity in the IR, giving a simple explanation for the difficulty of embedding this model into controlled stringy backgrounds, and to models of electroweak symmetry breaking that predict negative anomalous quartic couplings for the W and Z. Conversely, any experimental support for the DGP model, or measured negative signs for anomalous quartic gauge boson couplings at future accelerators, would constitute direct evidence for the existence of superluminality and macroscopic non-locality unlike anything previously seen in physics, and almost incidentally falsify both local quantum field theory and perturbative string theory.

11.168365

11.835584

11.181634

11.347124

12.51939

11.740803

11.628673

11.681341

10.831274

12.15386

11.127651

11.093027

11.109146

10.973055

11.084306

11.313539

11.209476

10.894021

10.885467

11.108285

10.85854

1401.5721

Kurt Lechner

Francesco Azzurli, Kurt Lechner

Electromagnetic fields and potentials generated by massless charged particles

34 pages, no figures

null

10.1016/j.aop.2014.06.005

DFPD/2013/TH22

hep-th math-ph math.MP

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

We provide for the first time the exact solution of Maxwell's equations for a massless charged particle moving on a generic trajectory at the speed of light. In particular we furnish explicit expressions for the vector potential and the electromagnetic field, which were both previously unknown, finding that they entail different physical features for bounded and unbounded trajectories. With respect to the standard Lienard-Wiechert field the electromagnetic field acquires singular delta-like contributions whose support and dimensionality depend crucially on whether the motion is a) linear, b) accelerated unbounded, c) accelerated bounded. In the first two cases the particle generates a planar shock-wave-like electromagnetic field traveling along a straight line. In the second and third cases the field acquires, in addition, a delta-like contribution supported on a physical singularity-string attached to the particle. For generic accelerated motions a genuine radiation field is also present, represented by a regular principal-part type distribution diverging on the same singularity-string.

[ { "created": "Wed, 22 Jan 2014 16:29:59 GMT", "version": "v1" } ]

2015-06-18

[ [ "Azzurli", "Francesco", "" ], [ "Lechner", "Kurt", "" ] ]

We provide for the first time the exact solution of Maxwell's equations for a massless charged particle moving on a generic trajectory at the speed of light. In particular we furnish explicit expressions for the vector potential and the electromagnetic field, which were both previously unknown, finding that they entail different physical features for bounded and unbounded trajectories. With respect to the standard Lienard-Wiechert field the electromagnetic field acquires singular delta-like contributions whose support and dimensionality depend crucially on whether the motion is a) linear, b) accelerated unbounded, c) accelerated bounded. In the first two cases the particle generates a planar shock-wave-like electromagnetic field traveling along a straight line. In the second and third cases the field acquires, in addition, a delta-like contribution supported on a physical singularity-string attached to the particle. For generic accelerated motions a genuine radiation field is also present, represented by a regular principal-part type distribution diverging on the same singularity-string.

11.071446

11.867177

11.933859

11.131806

12.248317

13.225833

11.773355

10.451542

10.896218

11.219666

10.896078

11.345588

10.967746

10.651503

10.743647

11.157139

10.998895

10.875286

11.054621

10.62892

10.934647

2306.13714

Anamaria Hell

Anamaria Hell, Dieter Lust, George Zoupanos

On the Ghost Problem of Conformal Gravity

24 pages

J. High Energ. Phys. 2023, 168 (2023)

10.1007/JHEP08(2023)168

CERN-TH-2023-116, LMU-ASC 21/23, MPP-2023-134

hep-th gr-qc

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

We study the metric perturbations around the de Sitter and Minkowski backgrounds in Conformal Gravity. We confirm the presence of ghosts in both cases. In the de Sitter case, by applying the Maldacena boundary conditions - the Neumann boundary condition and the positive-frequency mode condition - to the metric, we show that one cannot recover a general solution for the perturbations. In turn, alongside the Neumann boundary condition, we derive an additional condition with which the perturbations of conformal gravity and dS perturbations of Einstein gravity with cosmological constant coincide. We further show that the Neumann boundary condition does not lead to a general solution in Minkowski space. Conversely, we derive the alternative boundary conditions, with which we attain an agreement between the perturbations of conformal and Einstein gravity in full generality, thus removing the ghost of conformal gravity.

[ { "created": "Fri, 23 Jun 2023 18:00:11 GMT", "version": "v1" }, { "created": "Thu, 24 Aug 2023 11:02:54 GMT", "version": "v2" } ]

2023-08-30

[ [ "Hell", "Anamaria", "" ], [ "Lust", "Dieter", "" ], [ "Zoupanos", "George", "" ] ]

We study the metric perturbations around the de Sitter and Minkowski backgrounds in Conformal Gravity. We confirm the presence of ghosts in both cases. In the de Sitter case, by applying the Maldacena boundary conditions - the Neumann boundary condition and the positive-frequency mode condition - to the metric, we show that one cannot recover a general solution for the perturbations. In turn, alongside the Neumann boundary condition, we derive an additional condition with which the perturbations of conformal gravity and dS perturbations of Einstein gravity with cosmological constant coincide. We further show that the Neumann boundary condition does not lead to a general solution in Minkowski space. Conversely, we derive the alternative boundary conditions, with which we attain an agreement between the perturbations of conformal and Einstein gravity in full generality, thus removing the ghost of conformal gravity.

8.13716

8.223269

7.955777

7.660099

8.066741

8.635167

8.258679

7.828108

7.987109

8.57655

8.259452

7.977385

8.099701

7.82788

7.893379

7.73129

7.760796

7.588831

7.630313

8.121706

7.782123

hep-th/0703053

Farvah Mahmoudi

Alexandre Arbey, Farvah Mahmoudi

One-loop quantum corrections to cosmological scalar field potentials

11 pages, 1 figure, accepted for publication in Phys. Rev. D

Phys.Rev.D75:063513,2007

10.1103/PhysRevD.75.063513

MTA-PHYS-0701

hep-th astro-ph gr-qc

null

We study the loop corrections to potentials of complex or coupled real scalar fields used in cosmology to account for dark energy, dark matter or dark fluid. We show that the SUGRA quintessence and dark matter scalar field potentials are stable against the quantum fluctuations, and we propose solutions to the instability of the potentials of coupled quintessence and dark fluid scalar fields. We also find that a coupling to fermions is very restricted, unless this coupling has a structure which already exists in the scalar field potential or which can be compensated by higher order corrections. Finally, we study the influence of the curvature and kinetic term corrections.

[ { "created": "Tue, 6 Mar 2007 16:59:39 GMT", "version": "v1" } ]

2008-11-26

[ [ "Arbey", "Alexandre", "" ], [ "Mahmoudi", "Farvah", "" ] ]

We study the loop corrections to potentials of complex or coupled real scalar fields used in cosmology to account for dark energy, dark matter or dark fluid. We show that the SUGRA quintessence and dark matter scalar field potentials are stable against the quantum fluctuations, and we propose solutions to the instability of the potentials of coupled quintessence and dark fluid scalar fields. We also find that a coupling to fermions is very restricted, unless this coupling has a structure which already exists in the scalar field potential or which can be compensated by higher order corrections. Finally, we study the influence of the curvature and kinetic term corrections.

14.02113

15.240714

15.073747

15.153231

15.497242

14.632899

16.642454

15.97674

15.617698

16.658882

13.147517

13.947861

13.961306

14.0093

13.667823

14.427348

14.142439

13.905056

14.075687

14.365842

13.862157

hep-th/0103201

Elena Poletaeva

Contact superconformal algebras and their representations

6 pages, LaTeX2e, submitted to W. Siegel et al., editors, Concise Encyclopedia of Supersymmetry, to be published by Kluwer Academic Publishers, Dordrecht, 2001

null

hep-th

null

This is a brief overview of my work on the realization of contact superconformal algebras in terms of pseudodifferential symbols on a supercircle. Also the 2-cocycles on K'(4) are given for this realization.

[ { "created": "Fri, 23 Mar 2001 13:47:36 GMT", "version": "v1" } ]

2007-05-23

[ [ "Poletaeva", "Elena", "" ] ]

This is a brief overview of my work on the realization of contact superconformal algebras in terms of pseudodifferential symbols on a supercircle. Also the 2-cocycles on K'(4) are given for this realization.

20.235498

13.295637

21.4373

14.246695

15.109137

15.474281

13.426465

14.803643

12.708825

21.42115

13.902264

14.77011

18.313679

15.121591

14.950127

14.552576

14.907948

14.752836

15.902289

18.763144

15.009925

1405.0997

Haruki Watanabe

Haruki Watanabe, Hitoshi Murayama

Englert-Brout-Higgs Mechanism in Nonrelativistic Systems

5 + 2 pages, including Supplemental Materials; v3: discussions clarified

Phys. Rev. D 90, 121703(R) (2014)

10.1103/PhysRevD.90.121703

IPMU14-0109, UCB-PTH-14/30

hep-th cond-mat.other cond-mat.quant-gas cond-mat.supr-con hep-ph

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

We study the general theory of Englert-Brout-Higgs mechanism without assuming Lorentz invariance. In the presence of a finite expectation value of non-Abelian matter charges, gauging those symmetries always results in spontaneous breaking of spatial rotation. If we impose the charge neutrality by assuming a background with the opposite charges, the dynamics of the background cannot be decoupled and has to be fully taken into account. In either case, the spectrum is continuous as the gauge coupling is switched off.

[ { "created": "Mon, 5 May 2014 19:12:52 GMT", "version": "v1" }, { "created": "Tue, 13 May 2014 19:56:54 GMT", "version": "v2" }, { "created": "Fri, 25 Jul 2014 23:18:23 GMT", "version": "v3" } ]

2015-06-26

[ [ "Watanabe", "Haruki", "" ], [ "Murayama", "Hitoshi", "" ] ]

We study the general theory of Englert-Brout-Higgs mechanism without assuming Lorentz invariance. In the presence of a finite expectation value of non-Abelian matter charges, gauging those symmetries always results in spontaneous breaking of spatial rotation. If we impose the charge neutrality by assuming a background with the opposite charges, the dynamics of the background cannot be decoupled and has to be fully taken into account. In either case, the spectrum is continuous as the gauge coupling is switched off.

12.805303

13.461515

13.325268

12.790662

14.188059

11.720626

11.69087

13.194428

11.867426

12.192638

12.421161

11.275682

12.466072

12.131037

11.974653

12.331956

11.678144

12.994658

12.136105

12.110166

11.76068

hep-th/9912124

Andrei Marshakov

A.Marshakov

Duality in Integrable Systems and Generating Functions for New Hamiltonians

Latex, 7 pp; minor corrections

Phys.Lett. B476 (2000) 420-426

10.1016/S0370-2693(00)00076-9

FIAN/TD-26/99, ITEP/TH-78/99

hep-th nlin.SI solv-int

null

Duality in the integrable systems arising in the context of Seiberg-Witten theory shows that their tau-functions indeed can be seen as generating functions for the mutually Poisson-commuting hamiltonians of the {\em dual} systems. We demonstrate that the $\Theta$-function coefficients of their expansion can be expressed entirely in terms of the co-ordinates of the Seiberg-Witten integrable system, being, thus, some set of hamiltonians for a dual system.

[ { "created": "Tue, 14 Dec 1999 23:47:53 GMT", "version": "v1" }, { "created": "Fri, 24 Dec 1999 16:59:54 GMT", "version": "v2" } ]

2009-10-31

[ [ "Marshakov", "A.", "" ] ]

Duality in the integrable systems arising in the context of Seiberg-Witten theory shows that their tau-functions indeed can be seen as generating functions for the mutually Poisson-commuting hamiltonians of the {\em dual} systems. We demonstrate that the $\Theta$-function coefficients of their expansion can be expressed entirely in terms of the co-ordinates of the Seiberg-Witten integrable system, being, thus, some set of hamiltonians for a dual system.

13.365686

11.584538

14.715276

11.835316

12.396865

12.808161

12.403964

11.886262

11.286244

15.757172

11.01547

11.310431

12.349309

11.637681

11.699673

11.091168

11.428362

11.498852

11.649246

12.790638

11.227129

hep-th/0009165

Subir Ghosh

Unified Study of Planar Field Theories

Accepted for publication in Annals of Physics (N.Y.)

Annals Phys. 291 (2001) 1-13

10.1006/aphy.2001.6141

null

hep-th

null

A "Master" gauge theory is constructed in 2+1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-Simons, Maxwell-Proca and Maxwell-Chern-Simons -Proca models are considered here. The Master theory in an enlarged phase space is constructed both in Lagrangian (Stuckelberg) and Hamiltonian (Batalin-Tyutin) frameworks, the latter being the more general one, which includes the former as a special case. Subsequently, BRST quantization of the latter is performed. Lastly, the master Lagrangian, constructed by Deser and Jackiw (Phys. Lett. B139, (1984) 371), to show the equivalence between the Maxwell-Chern-Simons and the self-dual model, is also reproduced from our Batalin-Tyutin extended model. Symplectic quantization procedure for constraint systems is adopted in the last demonstration.

[ { "created": "Thu, 21 Sep 2000 12:32:08 GMT", "version": "v1" }, { "created": "Fri, 22 Jun 2001 07:29:44 GMT", "version": "v2" } ]

2009-10-31

[ [ "Ghosh", "Subir", "" ] ]

A "Master" gauge theory is constructed in 2+1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-Simons, Maxwell-Proca and Maxwell-Chern-Simons -Proca models are considered here. The Master theory in an enlarged phase space is constructed both in Lagrangian (Stuckelberg) and Hamiltonian (Batalin-Tyutin) frameworks, the latter being the more general one, which includes the former as a special case. Subsequently, BRST quantization of the latter is performed. Lastly, the master Lagrangian, constructed by Deser and Jackiw (Phys. Lett. B139, (1984) 371), to show the equivalence between the Maxwell-Chern-Simons and the self-dual model, is also reproduced from our Batalin-Tyutin extended model. Symplectic quantization procedure for constraint systems is adopted in the last demonstration.

8.098655

7.317244

8.649713

6.82977

7.455839

7.143024

8.080246

7.18502

7.068274

8.900561

7.092738

7.045766

7.729687

7.198955

7.226712

7.323463

7.106867

7.091409

6.961307

7.681751

7.051354

hep-th/0003117

Jonathan Bagger

Richard Altendorfer, Jonathan Bagger and Dennis Nemeschansky

Supersymmetric Randall-Sundrum Scenario

Latex, 9 pages. Published version

Phys.Rev. D63 (2001) 125025

10.1103/PhysRevD.63.125025

null

hep-th hep-ph

null

We present the supersymmetric version of the minimal Randall-Sundrum model with two opposite tension branes.

[ { "created": "Tue, 14 Mar 2000 22:14:36 GMT", "version": "v1" }, { "created": "Tue, 23 May 2000 16:06:39 GMT", "version": "v2" }, { "created": "Fri, 11 May 2001 13:49:34 GMT", "version": "v3" } ]

2009-10-31

[ [ "Altendorfer", "Richard", "" ], [ "Bagger", "Jonathan", "" ], [ "Nemeschansky", "Dennis", "" ] ]

We present the supersymmetric version of the minimal Randall-Sundrum model with two opposite tension branes.

15.820455

10.011986

11.408538

7.1776

8.239364

8.199523

7.446832

7.552033

8.980688

10.323508

10.052286

11.371237

11.266001

11.229578

11.659324

12.100667

11.889425

11.855597

10.260268

11.308145

12.596303

1209.3030

Aram Saharian

E. R. Bezerra de Mello, A. A. Saharian, S. V. Abajyan

Fermionic vacuum polarization by a flat boundary in cosmic string spacetime

22 pages, 3 figures

Class. Quantum Grav. 30 (2013) 015002

10.1088/0264-9381/30/1/015002

null

hep-th gr-qc quant-ph

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

In this paper we investigate the fermionic condensate and the renormalized vacuum expectation value (VEV) of the energy-momentum tensor for a massive fermionic field induced by a flat boundary in the cosmic string spacetime. In this analysis we assume that the field operator obeys MIT bag boundary condition on the boundary. We explicitly decompose the VEVs into the boundary-free and boundary-induced parts. General formulas are provided for both parts which are valid for any value of the parameter associated with the cosmic string. For a massless field, the boundary-free part in the fermionic condensate and the boundary-induced part in the energy-momentum tensor vanish. For a massive field the radial stress is equal to the energy density for both boundary-free and boundary-induced parts. The boundary-induced part in the stress along the axis of the cosmic string vanishes. The total energy density is negative everywhere, whereas the effective pressure along the azimuthal direction is positive near the boundary and negative near the cosmic string. We show that for points away from the boundary, the boundary-induced parts in the fermionic condensate and in the VEV of the energy-momentum tensor vanish on the string.

[ { "created": "Wed, 12 Sep 2012 17:18:03 GMT", "version": "v1" } ]

2012-12-06

[ [ "de Mello", "E. R. Bezerra", "" ], [ "Saharian", "A. A.", "" ], [ "Abajyan", "S. V.", "" ] ]

In this paper we investigate the fermionic condensate and the renormalized vacuum expectation value (VEV) of the energy-momentum tensor for a massive fermionic field induced by a flat boundary in the cosmic string spacetime. In this analysis we assume that the field operator obeys MIT bag boundary condition on the boundary. We explicitly decompose the VEVs into the boundary-free and boundary-induced parts. General formulas are provided for both parts which are valid for any value of the parameter associated with the cosmic string. For a massless field, the boundary-free part in the fermionic condensate and the boundary-induced part in the energy-momentum tensor vanish. For a massive field the radial stress is equal to the energy density for both boundary-free and boundary-induced parts. The boundary-induced part in the stress along the axis of the cosmic string vanishes. The total energy density is negative everywhere, whereas the effective pressure along the azimuthal direction is positive near the boundary and negative near the cosmic string. We show that for points away from the boundary, the boundary-induced parts in the fermionic condensate and in the VEV of the energy-momentum tensor vanish on the string.

5.033166

3.650182

5.557628

4.112638

3.935086

3.944975

3.908566

3.690419

3.630504

5.549415

3.646751

4.349617

5.080536

4.687936

4.636024

4.543287

4.540237

4.508821

4.649942

5.210968

4.535002

hep-th/9510037

Mario Belloni

Mario Belloni, Lusheng Chen, and Kurt Haller (University of Connecticut)

Implementing Gauss's law in Yang-Mills theory and QCD

11 pages

Phys.Lett. B373 (1996) 185-192

10.1016/0370-2693(96)00112-8

UCONN-95-05

hep-th hep-ph

null

We construct a transformation that transforms perturbative states into states that implement Gauss's law for `pure gluonic' Yang-Mills theory and QCD. The fact that this transformation is not and cannot be unitary has special significance. Previous work has shown that only states that are unitarily equivalent to perturbative states necessarily give the same S-matrix elements as are obtained with Feynman rules.

[ { "created": "Sat, 7 Oct 1995 00:54:55 GMT", "version": "v1" } ]

2009-10-28

[ [ "Belloni", "Mario", "", "University of\n Connecticut" ], [ "Chen", "Lusheng", "", "University of\n Connecticut" ], [ "Haller", "Kurt", "", "University of\n Connecticut" ] ]

We construct a transformation that transforms perturbative states into states that implement Gauss's law for `pure gluonic' Yang-Mills theory and QCD. The fact that this transformation is not and cannot be unitary has special significance. Previous work has shown that only states that are unitarily equivalent to perturbative states necessarily give the same S-matrix elements as are obtained with Feynman rules.

14.403314

13.07401

13.762842

13.08897

12.979612

14.470326

13.301953

12.970242

12.458544

13.419474

13.600104

12.687717

12.852574

12.842539

13.237278

12.566721

13.824274

12.643464

12.922071

12.243041

12.812186

0907.1488

Sang-Woo Kim

Goro Ishiki, Sang-Woo Kim, Jun Nishimura, Asato Tsuchiya

Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3

24 pages, 4 figures

JHEP 0909:029,2009

10.1088/1126-6708/2009/09/029

OU-HET 623, KEK-TH-1317

hep-th hep-lat

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

Recently a novel large-N reduction has been proposed as a maximally supersymmetric regularization of N=4 super Yang-Mills theory on RxS^3 in the planar limit. This proposal, if it works, will enable us to study the theory non-perturbatively on a computer, and hence to test the AdS/CFT correspondence analogously to the recent works on the D0-brane system. We provide a nontrivial check of this proposal by performing explicit calculations in the large-N reduced model, which is nothing but the so-called plane wave matrix model, around a particular stable vacuum corresponding to RxS^3. At finite temperature and at weak coupling, we reproduce precisely the deconfinement phase transition in the N=4 super Yang-Mills theory on RxS^3. This phase transition is considered to continue to the strongly coupled regime, where it corresponds to the Hawking-Page transition on the AdS side. We also perform calculations around other stable vacua, and reproduce the phase transition in super Yang-Mills theory on the corresponding curved space-times such as RxS^3/Z_q and RxS^2.

[ { "created": "Thu, 9 Jul 2009 10:18:41 GMT", "version": "v1" } ]

2009-10-09

[ [ "Ishiki", "Goro", "" ], [ "Kim", "Sang-Woo", "" ], [ "Nishimura", "Jun", "" ], [ "Tsuchiya", "Asato", "" ] ]

Recently a novel large-N reduction has been proposed as a maximally supersymmetric regularization of N=4 super Yang-Mills theory on RxS^3 in the planar limit. This proposal, if it works, will enable us to study the theory non-perturbatively on a computer, and hence to test the AdS/CFT correspondence analogously to the recent works on the D0-brane system. We provide a nontrivial check of this proposal by performing explicit calculations in the large-N reduced model, which is nothing but the so-called plane wave matrix model, around a particular stable vacuum corresponding to RxS^3. At finite temperature and at weak coupling, we reproduce precisely the deconfinement phase transition in the N=4 super Yang-Mills theory on RxS^3. This phase transition is considered to continue to the strongly coupled regime, where it corresponds to the Hawking-Page transition on the AdS side. We also perform calculations around other stable vacua, and reproduce the phase transition in super Yang-Mills theory on the corresponding curved space-times such as RxS^3/Z_q and RxS^2.

6.758783

5.854841

8.12051

6.086419

6.172935

5.833162

5.422787

6.254102

6.151519

8.729449

6.147918

6.095548

7.04514

6.440181

6.50538

6.264105

6.252408

6.182762

6.502247

7.046392

6.389122

hep-th/9511187

Itzhak Bars

Solution of the SL(2,R) string in curved spacetime

LaTeX, 18 pages

null

USC-95/HEP-B3

hep-th

null

The SL(2,R) WZW model, one of the simplest models for strings propagating in curved space time, was believed to be non-unitary in the algebraic treatment involving affine current algebra. It is shown that this was an error that resulted from neglecting a zero mode that must be included to describe the correct physics of non-compact WZW models. In the presence of the zero mode the mass-shell condition is altered and unitarity is restored. The correct currents, including the zero mode, have logarithmic cuts on the worldsheet. This has physical consequences for the spectrum because a combination of zero modes must be quantized in order to impose periodic boundary conditions on mass shell in the physical sector. To arrive at these results and to solve the model completely, the SL(2,R) WZW model is quantized in a free field formalism that differs from previous ones in that the fields and the currents are Hermitean, there are cuts, and there is a new term that could be present more generally, but is excluded in the WZW model.

[ { "created": "Mon, 27 Nov 1995 09:32:06 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bars", "Itzhak", "" ] ]

The SL(2,R) WZW model, one of the simplest models for strings propagating in curved space time, was believed to be non-unitary in the algebraic treatment involving affine current algebra. It is shown that this was an error that resulted from neglecting a zero mode that must be included to describe the correct physics of non-compact WZW models. In the presence of the zero mode the mass-shell condition is altered and unitarity is restored. The correct currents, including the zero mode, have logarithmic cuts on the worldsheet. This has physical consequences for the spectrum because a combination of zero modes must be quantized in order to impose periodic boundary conditions on mass shell in the physical sector. To arrive at these results and to solve the model completely, the SL(2,R) WZW model is quantized in a free field formalism that differs from previous ones in that the fields and the currents are Hermitean, there are cuts, and there is a new term that could be present more generally, but is excluded in the WZW model.

11.596056

11.072817

12.079317

10.872187

12.063128

11.528234

11.648949

11.173526

10.233809

13.359391

10.685645

10.809963

11.270012

10.704152

10.99992

10.643107

10.804263

11.16472

10.672662

11.55664

10.522245

hep-th/9511206

Masao Jinzenji

On Quantum Cohomology Rings for Hypersurfaces in $CP^{N-1}$

32 pages, Revised version

J.Math.Phys. 38 (1997) 6613-6638

10.1063/1.532228

UT-HEP-734-95

hep-th

null

Using the torus action method, we construct one variable polynomial representation of quantum cohomology ring for degree $k$ hypersurface in $CP^{N-1}$ . The results interpolate the well-known result of $CP^{N-2}$ model and the one of Calabi-Yau hypersuface in $CP^{N-1}$. We find in $k\leq N-2$ case, principal relation of this ring have very simple form compatible with toric compactification of moduli space of holomorphic maps from $CP^{1}$ to $CP^{N-1}$.

[ { "created": "Wed, 29 Nov 1995 09:03:14 GMT", "version": "v1" }, { "created": "Fri, 12 Apr 1996 10:33:19 GMT", "version": "v2" } ]

2009-10-28

[ [ "Jinzenji", "Masao", "" ] ]

Using the torus action method, we construct one variable polynomial representation of quantum cohomology ring for degree $k$ hypersurface in $CP^{N-1}$ . The results interpolate the well-known result of $CP^{N-2}$ model and the one of Calabi-Yau hypersuface in $CP^{N-1}$. We find in $k\leq N-2$ case, principal relation of this ring have very simple form compatible with toric compactification of moduli space of holomorphic maps from $CP^{1}$ to $CP^{N-1}$.

8.885187

8.194369

10.042331

7.78385

7.911172

8.360883

8.319802

7.491605

7.925372

10.66467

8.081837

7.686562

8.940533

7.703226

7.986639

7.992622

8.112283

8.01141

7.668951

9.120467

7.944067

1409.1651

Rosy Chooi Gim Teh

Amin Soltanian, Rosy Teh, Khai-Ming Wong

Multiple bifurcations and transitions for electrically charged monopole-antimonopole chain and vortex-ring solutions

31 pages, 16 Figures

null

hep-th

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

The dependence of physical properties of the electrically charged two-poles monopole-antimonopole pair (MAP) solutions in the Higgs self-coupling constant is previously investigated. In this paper we study the three-poles monopole-antimonopole chain (MAC) solutions. The study includes $\phi$-winding number $n=2,3,4$, and $5$. For the case of $n=2$, there is no bifurcating branch along with the fundamental solution. Also no transition happens for this solution for the Higgs self-coupling interval of $0\leq \lambda \leq 144$. For the case of $n=3$, two transitions happen along the fundamental solution. Also at a higher energy, there are two bifurcating branches. The lower energy branch of these bifurcating branches, merges with the fundamental solution and both terminate at the convergence point and do not survive for larger values of $\lambda$. For $n=4$, a bifurcation is observed at higher energy in comparison with the fundamental solution. Here there are three transitions. One is observed along the fundamental solution and the others happen along the higher energy bifurcating branch. For the case of $n=5$, the pattern is more complex. A bifurcation in $\lambda = \lambda_{b1}$ happens with a higher energy than the fundamental solution. A second bifurcation is observed at $\lambda = \lambda_{b2}$. The two branches of the second bifurcation are both very close in energy to the lower energy branch of the first bifurcation, but they have different electrical and geometrical properties. Therefore, for the case of $n=5$, we have three distinct solution for the interval of $\lambda_{b1}\leq \lambda \leq \lambda_{b2}$ and five distinct solutions for $\lambda_{b2}\leq \lambda \leq 300$. Also two transitions are observed in the higher energy branch of the first bifurcation.

[ { "created": "Fri, 5 Sep 2014 03:06:57 GMT", "version": "v1" }, { "created": "Thu, 16 Oct 2014 06:15:30 GMT", "version": "v2" }, { "created": "Thu, 11 Dec 2014 07:47:18 GMT", "version": "v3" } ]

2014-12-12

[ [ "Soltanian", "Amin", "" ], [ "Teh", "Rosy", "" ], [ "Wong", "Khai-Ming", "" ] ]

The dependence of physical properties of the electrically charged two-poles monopole-antimonopole pair (MAP) solutions in the Higgs self-coupling constant is previously investigated. In this paper we study the three-poles monopole-antimonopole chain (MAC) solutions. The study includes $\phi$-winding number $n=2,3,4$, and $5$. For the case of $n=2$, there is no bifurcating branch along with the fundamental solution. Also no transition happens for this solution for the Higgs self-coupling interval of $0\leq \lambda \leq 144$. For the case of $n=3$, two transitions happen along the fundamental solution. Also at a higher energy, there are two bifurcating branches. The lower energy branch of these bifurcating branches, merges with the fundamental solution and both terminate at the convergence point and do not survive for larger values of $\lambda$. For $n=4$, a bifurcation is observed at higher energy in comparison with the fundamental solution. Here there are three transitions. One is observed along the fundamental solution and the others happen along the higher energy bifurcating branch. For the case of $n=5$, the pattern is more complex. A bifurcation in $\lambda = \lambda_{b1}$ happens with a higher energy than the fundamental solution. A second bifurcation is observed at $\lambda = \lambda_{b2}$. The two branches of the second bifurcation are both very close in energy to the lower energy branch of the first bifurcation, but they have different electrical and geometrical properties. Therefore, for the case of $n=5$, we have three distinct solution for the interval of $\lambda_{b1}\leq \lambda \leq \lambda_{b2}$ and five distinct solutions for $\lambda_{b2}\leq \lambda \leq 300$. Also two transitions are observed in the higher energy branch of the first bifurcation.

5.227893

5.528167

5.355037

4.951128

5.463046

5.421737

5.371005

5.201893

5.269887

5.788904

5.357674

5.107574

5.267703

5.057375

5.175241

5.160636

5.142236

5.216459

5.176237

5.29952

5.109521

2405.10362

David Osten

Eric Lescano and David Osten

Non-Relativistic Limits of Bosonic and Heterotic Double Field Theory

V2: 21 pages + references, relation to known results on NR-limit of bosonic DFT in introduction and section 3 clarified, new section 3.4 added

null

hep-th gr-qc

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

The known stringy non-relativistic (NR) limit of the universal NS-NS sector of supergravity has a finite Lagrangian due to non-trivial cancellations of divergent parts coming from the metric and the $B$-field. We demonstrate that in Double Field Theory (DFT) and generalised geometry these cancellations already happen at the level of the generalised metric, which is convergent in the limit $c \rightarrow \infty$, implying that the NR limit can be imposed before solving the strong constraint. We present the $c$-expansion of the generalised metric, which reproduces the Non-Riemannian formulation of DFT at the (finite) leading order, and the $c$-expansion of the generalised frame, which contains divergences. We also extend this approach to the non-Abelian gauge field of Heterotic DFT assuming a convergent expansion for the O$(D,D+n)$ generalised metric. From this proposal, we derive a novel $c$-expansion for the bosonic part of the heterotic supergravity which is, by construction, compatible with O$(D,D)$-symmetry.

[ { "created": "Thu, 16 May 2024 18:00:02 GMT", "version": "v1" }, { "created": "Thu, 23 May 2024 14:00:58 GMT", "version": "v2" } ]

2024-05-24

[ [ "Lescano", "Eric", "" ], [ "Osten", "David", "" ] ]

The known stringy non-relativistic (NR) limit of the universal NS-NS sector of supergravity has a finite Lagrangian due to non-trivial cancellations of divergent parts coming from the metric and the $B$-field. We demonstrate that in Double Field Theory (DFT) and generalised geometry these cancellations already happen at the level of the generalised metric, which is convergent in the limit $c \rightarrow \infty$, implying that the NR limit can be imposed before solving the strong constraint. We present the $c$-expansion of the generalised metric, which reproduces the Non-Riemannian formulation of DFT at the (finite) leading order, and the $c$-expansion of the generalised frame, which contains divergences. We also extend this approach to the non-Abelian gauge field of Heterotic DFT assuming a convergent expansion for the O$(D,D+n)$ generalised metric. From this proposal, we derive a novel $c$-expansion for the bosonic part of the heterotic supergravity which is, by construction, compatible with O$(D,D)$-symmetry.

8.075278

8.426515

9.325207

7.610562

8.668507

7.976489

8.697193

7.515674

8.235772

9.079555

7.79482

8.135226

7.998027

7.747879

7.738705

7.970003

7.859674

7.966934

7.75978

8.024346

7.763227

hep-th/0610125

Toshiharu Maeda

Hajime Aoki (1), Satoshi Iso (2) and Toshiharu Maeda (1) ((1) Saga Univ., (2) KEK)

Ginsparg-Wilson Dirac operator in the monopole backgrounds on the fuzzy 2-sphere

Latex2e, 37 pages, 3 figures

Phys.Rev.D75:085021,2007

10.1103/PhysRevD.75.085021

SAGA-HE-230, KEK-TH-1110

hep-th

null

In the previous papers, we studied the 't Hooft-Polyakov (TP) monopole configurations in the U(2) gauge theory on the fuzzy 2-sphere,and showed that they have nonzero topological charge in the formalism based on the Ginsparg-Wilson (GW) relation. In this paper, we will show an index theorem in the TP monopole background, which is defined in the projected space, and provide a meaning of the projection operator. We also extend the index theorem to general configurations which do not satisfy the equation of motion, and show that the configuration space can be classified into the topological sectors. We further calculate the spectrum of the GW Dirac operator in the TP monopole backgrounds, and consider the index theorem in these cases.

[ { "created": "Wed, 11 Oct 2006 08:09:31 GMT", "version": "v1" }, { "created": "Fri, 23 Mar 2007 05:57:20 GMT", "version": "v2" } ]

2008-11-26

[ [ "Aoki", "Hajime", "" ], [ "Iso", "Satoshi", "" ], [ "Maeda", "Toshiharu", "" ] ]

In the previous papers, we studied the 't Hooft-Polyakov (TP) monopole configurations in the U(2) gauge theory on the fuzzy 2-sphere,and showed that they have nonzero topological charge in the formalism based on the Ginsparg-Wilson (GW) relation. In this paper, we will show an index theorem in the TP monopole background, which is defined in the projected space, and provide a meaning of the projection operator. We also extend the index theorem to general configurations which do not satisfy the equation of motion, and show that the configuration space can be classified into the topological sectors. We further calculate the spectrum of the GW Dirac operator in the TP monopole backgrounds, and consider the index theorem in these cases.

7.373949

6.539155

7.575717

6.411422

7.312732

6.1846

6.366624

6.682201

6.462128

8.53806

6.509031

6.766102

7.025004

6.820907

6.736587

6.843723

6.780617

6.860236

6.666269

7.26978

6.86143

1511.09309

Daniele Binosi

D. Binosi, A. Quadri

The Cosmological Slavnov-Taylor Identity from BRST Symmetry in Single-Field Inflation

38 pages, no figures. Corrected an error in the bispectrum relations, so that original Maldacena's results are now recovered. Added new sections on the extended discussions of the in-in formalism in the BRST approach and higher order corrections in the squeezed limit (special conformal transformations). Revised version accepted for publication in JCAP

null

10.1088/1475-7516/2016/03/045

null

hep-th astro-ph.CO gr-qc

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

The cosmological Slavnov-Taylor (ST) identity of the Einstein-Hilbert action coupled to a single inflaton field is obtained from the Becchi-Rouet-Stora-Tyutin (BRST) symmetry associated with diffeomorphism invariance in the Arnowitt-Deser-Misner (ADM) formalism. The consistency conditions between the correlators of the scalar and tensor modes in the squeezed limit are then derived from the ST identity, together with the softly broken conformal symmetry. Maldacena's original relations connecting the 2- and 3-point correlators at horizon crossing are recovered, as well as the next-to-leading corrections, controlled by the special conformal transformations.

[ { "created": "Mon, 30 Nov 2015 13:55:40 GMT", "version": "v1" }, { "created": "Wed, 9 Mar 2016 15:30:44 GMT", "version": "v2" } ]

2016-04-06

[ [ "Binosi", "D.", "" ], [ "Quadri", "A.", "" ] ]

The cosmological Slavnov-Taylor (ST) identity of the Einstein-Hilbert action coupled to a single inflaton field is obtained from the Becchi-Rouet-Stora-Tyutin (BRST) symmetry associated with diffeomorphism invariance in the Arnowitt-Deser-Misner (ADM) formalism. The consistency conditions between the correlators of the scalar and tensor modes in the squeezed limit are then derived from the ST identity, together with the softly broken conformal symmetry. Maldacena's original relations connecting the 2- and 3-point correlators at horizon crossing are recovered, as well as the next-to-leading corrections, controlled by the special conformal transformations.

5.981674

5.55723

5.660859

5.438453

5.942132

5.63967

5.674976

5.545018

5.560331

5.648091

5.930853

5.498445

5.399156

5.519032

5.531992

5.518446

5.6583

5.604912

5.540032

5.239464

5.61876

0906.0582

Nicol\'as Grandi

Marcelo Botta-Cantcheff, Nicolas Grandi, Mauricio Sturla

Wormhole solutions to Horava gravity

17 pages, 1 figure. Replaced by revised version. Includes an appendix with the proof of the matching condition. References added. Accepted for publication in Phys.Rev.D

Phys.Rev.D82:124034,2010

10.1103/PhysRevD.82.124034

null

hep-th gr-qc

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

We present wormhole solutions to Horava non-relativistic gravity theory in vacuum. We show that, if the parameter $\lambda$ is set to one, transversable wormholes connecting two asymptotically de Sitter or anti-de Sitter regions exist. In the case of arbitrary $\lambda$, the asymptotic regions have a more complicated metric with constant curvature. We also show that, when the detailed balance condition is violated softly, tranversable and asymptotically Minkowski, de Sitter or anti-de Sitter wormholes exist.

[ { "created": "Tue, 2 Jun 2009 20:05:23 GMT", "version": "v1" }, { "created": "Mon, 15 Jun 2009 11:23:46 GMT", "version": "v2" }, { "created": "Tue, 30 Nov 2010 14:57:46 GMT", "version": "v3" } ]

2011-01-17

[ [ "Botta-Cantcheff", "Marcelo", "" ], [ "Grandi", "Nicolas", "" ], [ "Sturla", "Mauricio", "" ] ]

We present wormhole solutions to Horava non-relativistic gravity theory in vacuum. We show that, if the parameter $\lambda$ is set to one, transversable wormholes connecting two asymptotically de Sitter or anti-de Sitter regions exist. In the case of arbitrary $\lambda$, the asymptotic regions have a more complicated metric with constant curvature. We also show that, when the detailed balance condition is violated softly, tranversable and asymptotically Minkowski, de Sitter or anti-de Sitter wormholes exist.

7.475675

7.335226

7.973847

7.137848

7.546903

6.834025

7.329861

7.342609

7.468446

8.051502

7.39545

7.386938

7.839969

7.489231

7.319388

7.256465

7.08299

7.011511

7.473987

7.654791

7.51946

hep-th/9304055

null

P. Mayr and S. Stieberger

Dilaton, Antisymmetric Tensor and Gauge Fields in String Effective Theories at the One--loop Level

Latex, 20 pages, 3 figures (available upon request), MPI--Ph/93--19

Nucl.Phys. B412 (1994) 502-522

10.1016/0550-3213(94)90390-5

null

hep-th

null

We investigate the dependence of the gauge couplings on the dilaton field in string effective theories at the one--loop level. First we resolve the discrepancies between statements based on symmetry considerations and explicit calculations in string effective theories on this subject. A calculation of the relevant one--loop scattering amplitudes in string theory gives us further information and allows us to derive the exact form of the corresponding effective Lagrangian. In particular there is no dilaton dependent one--loop correction to the holomorphic $f$--function arising from massive string modes in the loop. In addition we address the coupling of the antisymmetric tensor field to the gauge bosons at one--loop. While the string S--matrix elements are not reproduced using the usual supersymmetric Lagrangian with the chiral superfield representation for the dilaton field, the analogue Lagrangian with the dilaton in a linear multiplet naturally gives the correct answer.

[ { "created": "Tue, 13 Apr 1993 21:23:34 GMT", "version": "v1" } ]

2009-10-22

[ [ "Mayr", "P.", "" ], [ "Stieberger", "S.", "" ] ]

We investigate the dependence of the gauge couplings on the dilaton field in string effective theories at the one--loop level. First we resolve the discrepancies between statements based on symmetry considerations and explicit calculations in string effective theories on this subject. A calculation of the relevant one--loop scattering amplitudes in string theory gives us further information and allows us to derive the exact form of the corresponding effective Lagrangian. In particular there is no dilaton dependent one--loop correction to the holomorphic $f$--function arising from massive string modes in the loop. In addition we address the coupling of the antisymmetric tensor field to the gauge bosons at one--loop. While the string S--matrix elements are not reproduced using the usual supersymmetric Lagrangian with the chiral superfield representation for the dilaton field, the analogue Lagrangian with the dilaton in a linear multiplet naturally gives the correct answer.

9.898592

9.337636

10.067199

9.69022

9.851548

9.784936

9.828588

10.321785

9.82605

10.911798

9.380544

9.428084

9.650822

9.447667

9.69506

9.646166

9.806421

9.577629

9.363411

10.011179

9.475174

1606.08012

Julien Serreau

U. Reinosa, J. Serreau, M. Tissier, A. Tresmontant

Yang-Mills correlators across the deconfinement phase transition

28 pages, 17 figures; published version

Phys. Rev. D 95, 045014 (2017)

10.1103/PhysRevD.95.045014

null

hep-th hep-lat hep-ph nucl-th

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

We compute the finite temperature ghost and gluon propagators of Yang-Mills theory in the Landau-DeWitt gauge. The background field that enters the definition of the latter is intimately related with the (gauge-invariant) Polyakov loop and serves as an equivalent order parameter for the deconfinement transition. We use an effective gauge-fixed description where the nonperturbative infrared dynamics of the theory is parametrized by a gluon mass which, as argued elsewhere, may originate from the Gribov ambiguity. In this scheme, one can perform consistent perturbative calculations down to infrared momenta, which have been shown to correctly describe the phase diagram of Yang-Mills theories in four dimensions as well as the zero-temperature correlators computed in lattice simulations. In this article, we provide the one-loop expressions of the finite temperature Landau-DeWitt ghost and gluon propagators for a large class of gauge groups and present explicit results for the SU(2) case. These are substantially different from those previously obtained in the Landau gauge, which corresponds to a vanishing background field. The nonanalyticity of the order parameter across the transition is directly imprinted onto the propagators in the various color modes. In the SU(2) case, this leads, for instance, to a cusp in the electric and magnetic gluon susceptibilities as well as similar signatures in the ghost sector. We mention the possibility that such distinctive features of the transition could be measured in lattice simulations in the background field gauge studied here.

[ { "created": "Sun, 26 Jun 2016 08:59:21 GMT", "version": "v1" }, { "created": "Wed, 1 Mar 2017 19:25:18 GMT", "version": "v2" } ]

2017-03-03

[ [ "Reinosa", "U.", "" ], [ "Serreau", "J.", "" ], [ "Tissier", "M.", "" ], [ "Tresmontant", "A.", "" ] ]

We compute the finite temperature ghost and gluon propagators of Yang-Mills theory in the Landau-DeWitt gauge. The background field that enters the definition of the latter is intimately related with the (gauge-invariant) Polyakov loop and serves as an equivalent order parameter for the deconfinement transition. We use an effective gauge-fixed description where the nonperturbative infrared dynamics of the theory is parametrized by a gluon mass which, as argued elsewhere, may originate from the Gribov ambiguity. In this scheme, one can perform consistent perturbative calculations down to infrared momenta, which have been shown to correctly describe the phase diagram of Yang-Mills theories in four dimensions as well as the zero-temperature correlators computed in lattice simulations. In this article, we provide the one-loop expressions of the finite temperature Landau-DeWitt ghost and gluon propagators for a large class of gauge groups and present explicit results for the SU(2) case. These are substantially different from those previously obtained in the Landau gauge, which corresponds to a vanishing background field. The nonanalyticity of the order parameter across the transition is directly imprinted onto the propagators in the various color modes. In the SU(2) case, this leads, for instance, to a cusp in the electric and magnetic gluon susceptibilities as well as similar signatures in the ghost sector. We mention the possibility that such distinctive features of the transition could be measured in lattice simulations in the background field gauge studied here.

6.945311

6.995419

7.397686

6.479982

7.358602

7.22913

6.610153

7.15798

6.896559

7.330516

6.829463

7.041952

6.732282

6.804091

6.970784

7.007702

7.100909

6.939514

6.704223

6.875689

7.06338

hep-th/0511049

Calin Iuliu Lazaroiu

C. I. Lazaroiu

Non-commutative moduli spaces of topological D-branes

null

Fortsch.Phys. 54 (2006) 430-434

10.1002/prop.200510287

null

hep-th

null

We give a general construction of extended moduli spaces of topological D-branes as non-commutative algebraic varieties. This shows that noncommutative symplectic geometry in the sense of Kontsevich arises naturally in String Theory.

[ { "created": "Fri, 4 Nov 2005 01:39:53 GMT", "version": "v1" } ]

2009-11-11

[ [ "Lazaroiu", "C. I.", "" ] ]

We give a general construction of extended moduli spaces of topological D-branes as non-commutative algebraic varieties. This shows that noncommutative symplectic geometry in the sense of Kontsevich arises naturally in String Theory.

7.46932

6.568053

8.875586

5.96939

6.45365

7.120205

6.321453

6.685241

6.285624

8.951555

6.714239

6.669781

8.704307

6.813989

6.448413

6.876762

6.935155

6.591283

6.786444

8.745313

6.373542

0902.0035

Hyun Seok Yang

Dark Energy and Emergent Spacetime

6 pages, A contribution for the Proceedings of the Workshop on Cosmology and Particle Astrophysics 2008, October 28 - November 1, APCTP, Korea

Int. J. Mod. Phys. CS1:266-271, 2011

10.1142/S2010194511000389

KIAS-P09006

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

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

A natural geometric framework of noncommutative spacetime is symplectic geometry rather than Riemannian geometry. The Darboux theorem in symplectic geometry then admits a novel form of the equivalence principle such that the electromagnetism in noncommutative spacetime can be regarded as a theory of gravity. Remarkably the emergent gravity reveals a noble picture about the origin of spacetime, dubbed as emergent spacetime, which is radically different from any previous physical theory all of which describe what happens in a given spacetime. In particular, the emergent gravity naturally explains the dynamical origin of flat spacetime, which is absent in Einstein gravity: A flat spacetime is not free gratis but a result of Planck energy condensation in a vacuum. This emergent spacetime picture, if it is correct anyway, turns out to be essential to resolve the cosmological constant problem, to understand the nature of dark energy and to explain why gravity is so weak compared to other forces.

[ { "created": "Mon, 2 Feb 2009 16:48:42 GMT", "version": "v1" }, { "created": "Thu, 12 Feb 2009 01:55:01 GMT", "version": "v2" }, { "created": "Thu, 30 Apr 2009 01:53:22 GMT", "version": "v3" } ]

2011-10-05

[ [ "Yang", "Hyun Seok", "" ] ]

A natural geometric framework of noncommutative spacetime is symplectic geometry rather than Riemannian geometry. The Darboux theorem in symplectic geometry then admits a novel form of the equivalence principle such that the electromagnetism in noncommutative spacetime can be regarded as a theory of gravity. Remarkably the emergent gravity reveals a noble picture about the origin of spacetime, dubbed as emergent spacetime, which is radically different from any previous physical theory all of which describe what happens in a given spacetime. In particular, the emergent gravity naturally explains the dynamical origin of flat spacetime, which is absent in Einstein gravity: A flat spacetime is not free gratis but a result of Planck energy condensation in a vacuum. This emergent spacetime picture, if it is correct anyway, turns out to be essential to resolve the cosmological constant problem, to understand the nature of dark energy and to explain why gravity is so weak compared to other forces.

9.973611

9.366673

9.677506

9.379825

9.599208

10.041749

9.456789

9.63949

9.043046

9.903807

9.053889

9.071455

9.175628

9.211071

8.907735

9.240256

9.32118

9.05744

9.247192

9.485352

9.14681

2002.04050

Erik Plauschinn

Martin Enriquez-Rojo, Erik Plauschinn

Swampland conjectures for type IIB orientifolds with closed-string U(1)s

26+3 pages

null

hep-th

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

We study the weak gravity conjecture, the swampland distance conjecture and the emergence proposal for $\mathcal{N}=1$ orientifold compactifications of type IIB string theory with O3-/O7-planes. We allow for orientifold projections with $h^{2,1}_+\neq 0$ which gives rise to closed-string $U(1)$ gauge fields, and our findings show that certain structures present for $\mathcal N=2$ compactifications are not present for $\mathcal N=1$. In particular, assumptions about stability have to be relaxed and we encounter an ambiguity for the emergence of gauge symmetries associated with the $h^{2,1}_+$ sector.

[ { "created": "Mon, 10 Feb 2020 19:07:26 GMT", "version": "v1" } ]

2020-02-12

[ [ "Enriquez-Rojo", "Martin", "" ], [ "Plauschinn", "Erik", "" ] ]

We study the weak gravity conjecture, the swampland distance conjecture and the emergence proposal for $\mathcal{N}=1$ orientifold compactifications of type IIB string theory with O3-/O7-planes. We allow for orientifold projections with $h^{2,1}_+\neq 0$ which gives rise to closed-string $U(1)$ gauge fields, and our findings show that certain structures present for $\mathcal N=2$ compactifications are not present for $\mathcal N=1$. In particular, assumptions about stability have to be relaxed and we encounter an ambiguity for the emergence of gauge symmetries associated with the $h^{2,1}_+$ sector.

7.243832

6.350719

7.901423

6.294197

7.206982

6.62488

6.601419

6.250022

6.102993

8.351961

6.318234

6.921044

7.251472

6.642967

6.848644

6.824408

6.954657

6.732127

6.733482

7.312444

6.592367

hep-th/0103192

Yusuke Kimura

Noncommutative Gauge Theories on Fuzzy Sphere and Fuzzy Torus from Matrix Model

30 Pages, references added and some comments corrected

Prog.Theor.Phys. 106 (2001) 445-469

10.1143/PTP.106.445

KEK-TH-752, TIT/HEP-465

hep-th

null

We consider a reduced model of four-dimensional Yang-Mills theory with a mass term. This matrix model has two classical solutions, two-dimensional fuzzy sphere and two-dimensional fuzzy torus. These classical solutions are constructed by embedding them into three or four dimensional flat space. They exist for finite size matrices, that is, the number of the quantum on these manifolds is finite. Noncommutative gauge theories on these noncommutative manifolds are derived by expanding the model around these classical solutions and studied by taking two large $N$ limits, a commutative limit and a large radius limit. The behaviors of gauge invariant operators are also discussed.

[ { "created": "Thu, 22 Mar 2001 17:22:07 GMT", "version": "v1" }, { "created": "Thu, 12 Apr 2001 11:04:21 GMT", "version": "v2" } ]

2009-11-07

[ [ "Kimura", "Yusuke", "" ] ]

We consider a reduced model of four-dimensional Yang-Mills theory with a mass term. This matrix model has two classical solutions, two-dimensional fuzzy sphere and two-dimensional fuzzy torus. These classical solutions are constructed by embedding them into three or four dimensional flat space. They exist for finite size matrices, that is, the number of the quantum on these manifolds is finite. Noncommutative gauge theories on these noncommutative manifolds are derived by expanding the model around these classical solutions and studied by taking two large $N$ limits, a commutative limit and a large radius limit. The behaviors of gauge invariant operators are also discussed.

10.305143

9.163132

10.938161

8.809854

10.554273

9.305271

8.686158

9.513631

9.285829

12.001183

8.785902

9.835236

11.051092

9.473844

9.363626

9.229646

9.427018

9.491852

9.396355

10.578078

9.703806

hep-th/0603128

Subir Ghosh

Subir Ghosh (Indian Statistical Institute)

Study of the "Non-Abelian" Current Algebra of a Non-linear $\sigma$-Model

Revised version, To appear in Phys.Lett.B

null

10.1016/j.physletb.2006.07.032

null

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

null

A particular form of non-linear $\sigma$-model, having a global gauge invariance, is studied. The detailed discussion on current algebra structures reveals the non-abelian nature of the invariance, with {\it{field dependent structure functions}}. Reduction of the field theory to a point particle framework yields a non-linear harmonic oscillator, which is a special case of similar models studied before in \cite{car}. The connection with noncommutative geometry is also established.

[ { "created": "Thu, 16 Mar 2006 12:12:14 GMT", "version": "v1" }, { "created": "Sun, 16 Jul 2006 20:15:29 GMT", "version": "v2" } ]

2009-11-11

[ [ "Ghosh", "Subir", "", "Indian Statistical Institute" ] ]

A particular form of non-linear $\sigma$-model, having a global gauge invariance, is studied. The detailed discussion on current algebra structures reveals the non-abelian nature of the invariance, with {\it{field dependent structure functions}}. Reduction of the field theory to a point particle framework yields a non-linear harmonic oscillator, which is a special case of similar models studied before in \cite{car}. The connection with noncommutative geometry is also established.

14.756245

12.902895

14.096234

12.7161

12.401395

12.699361

12.844027

12.315666

12.552311

15.666313

13.654075

13.403435

13.480989

12.816056

13.03513

12.817753

12.988149

12.76948

12.863361

13.623443

13.06634

1711.03469

Nava Gaddam

Panagiotis Betzios and Nava Gaddam and Olga Papadoulaki

Antipodal correlation on the meron wormhole and a bang-crunch universe

5 pages; v2 - discussion on semi-classical stability added, published

Phys. Rev. D 97, 126006 (2018)

10.1103/PhysRevD.97.126006

null

hep-th gr-qc

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

We present a covariant euclidean wormhole solution to Einstein Yang-Mills system and study scalar perturbations analytically. The fluctuation operator has a positive definite spectrum. We compute the Euclidean Green's function, which displays maximal antipodal correlation on the smallest three sphere. Upon analytic continuation, it corresponds to the Feynman propagator on a compact bang-crunch universe. We present the connection matrix that relates past and future modes. We thoroughly discuss the physical implications of the antipodal map in both the Euclidean and Lorentzian geometries.

[ { "created": "Thu, 9 Nov 2017 16:51:48 GMT", "version": "v1" }, { "created": "Tue, 12 Jun 2018 06:11:55 GMT", "version": "v2" } ]

2018-06-20

[ [ "Betzios", "Panagiotis", "" ], [ "Gaddam", "Nava", "" ], [ "Papadoulaki", "Olga", "" ] ]

We present a covariant euclidean wormhole solution to Einstein Yang-Mills system and study scalar perturbations analytically. The fluctuation operator has a positive definite spectrum. We compute the Euclidean Green's function, which displays maximal antipodal correlation on the smallest three sphere. Upon analytic continuation, it corresponds to the Feynman propagator on a compact bang-crunch universe. We present the connection matrix that relates past and future modes. We thoroughly discuss the physical implications of the antipodal map in both the Euclidean and Lorentzian geometries.

16.443493

16.631826

15.710263

14.143138

16.316715

15.977091

15.983366

16.309481

13.897429

16.670801

14.639213

14.807784

14.784015

15.587027

15.544604

14.497191

14.914895

14.429715

15.008881

15.039564

15.277095

2208.07842

David Tong

Avner Karasik, Kaan \"Onder and David Tong

Chiral Gauge Dynamics: Candidates for Non-Supersymmetric Dualities

41 pages. v2: minor typo fixed

null

10.1007/JHEP11(2022)122

null

hep-th

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

We study the dynamics of chiral SU(N) gauge theories. These contain Weyl fermions in the symmetric or anti-symmetric representation of the gauge group, together with further fermions in the fundamental and anti-fundamental. We revisit an old proposal of Bars and Yankielowicz who match the 't Hooft anomalies of this theory to free fermions. We show that there are novel and, in some cases, quite powerful constraints on the dynamics in the large N limit. In addition, we study these SU(N) theories with an extra Weyl fermion transforming in the adjoint representation. Here we show that all 21 't Hooft anomalies for global symmetries are matched with those of a Spin(8) gauge theory. This suggests a non-supersymmetric extension of the duality of Pouliot and Strassler. Finally, we also discuss some non-supersymmetric dualities with vector-like matter content for SO(N) and Sp(N) gauge theories and the constraints imposed by Weingarten inequalities.

[ { "created": "Tue, 16 Aug 2022 16:55:24 GMT", "version": "v1" }, { "created": "Tue, 18 Oct 2022 12:41:51 GMT", "version": "v2" } ]

2022-11-28

[ [ "Karasik", "Avner", "" ], [ "Önder", "Kaan", "" ], [ "Tong", "David", "" ] ]

We study the dynamics of chiral SU(N) gauge theories. These contain Weyl fermions in the symmetric or anti-symmetric representation of the gauge group, together with further fermions in the fundamental and anti-fundamental. We revisit an old proposal of Bars and Yankielowicz who match the 't Hooft anomalies of this theory to free fermions. We show that there are novel and, in some cases, quite powerful constraints on the dynamics in the large N limit. In addition, we study these SU(N) theories with an extra Weyl fermion transforming in the adjoint representation. Here we show that all 21 't Hooft anomalies for global symmetries are matched with those of a Spin(8) gauge theory. This suggests a non-supersymmetric extension of the duality of Pouliot and Strassler. Finally, we also discuss some non-supersymmetric dualities with vector-like matter content for SO(N) and Sp(N) gauge theories and the constraints imposed by Weingarten inequalities.

7.685585

7.591166

7.964345

7.252257

7.797383

7.676037

7.359527

6.901725

7.235676

8.520745

6.956359

7.416397

7.739322

7.512748

7.246656

7.483792

7.56567

7.450497

7.518604

7.855362

7.551363

1106.4796

David M. Schmidtt

Integrability vs Supersymmetry: Poisson Structures of The Pohlmeyer Reduction

33 pages, Published version

JHEP11(2011)067

10.1007/JHEP11(2011)067

null

hep-th math-ph math.MP

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

We construct recursively an infinite number of Poisson structures for the supersymmetric integrable hierarchy governing the Pohlmeyer reduction of superstring sigma models on the target spaces AdS_{n}\times S^n, n=2,3,5. These Poisson structures are all non-local and not relativistic except one, which is the canonical Poisson structure of the semi-symmetric space sine-Gordon model (SSSSG). We verify that the superposition of the first three Poisson structures corresponds to the canonical Poisson structure of the reduced sigma model. Using the recursion relations we construct commuting charges on the reduced sigma model out of those of the SSSSG model and in the process we explain the integrable origin of the Zukhovsky map and the twisted inner product used in the sigma model side. Then, we compute the complete Poisson superalgebra for the conserved Drinfeld-Sokolov supercharges associated to an exotic kind of extended non-local rigid 2d supersymmetry recently introduced in the SSSSG context. The superalgebra has a kink central charge which turns out to be a generalization to the SSSSG models of the well-known central extensions of the N=1 sine-Gordon and N=2 complex sine-Gordon model Poisson superalgebras computed from 2d superspace. The computation is done in two different ways concluding the proof of the existence of 2d supersymmetry in the reduced sigma model phase space under the boost invariant SSSSG Poisson structure.

[ { "created": "Thu, 23 Jun 2011 19:21:25 GMT", "version": "v1" }, { "created": "Sat, 23 Jul 2011 17:16:32 GMT", "version": "v2" }, { "created": "Thu, 17 Nov 2011 15:13:51 GMT", "version": "v3" } ]

2011-11-18

[ [ "Schmidtt", "David M.", "" ] ]

We construct recursively an infinite number of Poisson structures for the supersymmetric integrable hierarchy governing the Pohlmeyer reduction of superstring sigma models on the target spaces AdS_{n}\times S^n, n=2,3,5. These Poisson structures are all non-local and not relativistic except one, which is the canonical Poisson structure of the semi-symmetric space sine-Gordon model (SSSSG). We verify that the superposition of the first three Poisson structures corresponds to the canonical Poisson structure of the reduced sigma model. Using the recursion relations we construct commuting charges on the reduced sigma model out of those of the SSSSG model and in the process we explain the integrable origin of the Zukhovsky map and the twisted inner product used in the sigma model side. Then, we compute the complete Poisson superalgebra for the conserved Drinfeld-Sokolov supercharges associated to an exotic kind of extended non-local rigid 2d supersymmetry recently introduced in the SSSSG context. The superalgebra has a kink central charge which turns out to be a generalization to the SSSSG models of the well-known central extensions of the N=1 sine-Gordon and N=2 complex sine-Gordon model Poisson superalgebras computed from 2d superspace. The computation is done in two different ways concluding the proof of the existence of 2d supersymmetry in the reduced sigma model phase space under the boost invariant SSSSG Poisson structure.

10.133877

10.414552

12.223149

10.084876

11.277882

9.744854

9.988687

9.834496

10.280279

13.37005

9.852641

9.64813

10.974567

9.84446

9.494771

9.530288

9.616044

9.535821

9.6926

10.62013

9.443355

hep-th/9710154

Jerzy Plebanski

Hugo Garcia-Compean, Jerzy F. Plebanski, Maciej Przanowski

The Geometry of Deformation Quantization and Self-Dual Gravity

LaTeX, mprocl.sty, 3 pages, no figures, version to appear in the Eighth Marcel Grossmann Meeting

null

CINVESTAV-FIS 27/97

hep-th

null

A geometric formulation of the Moyal deformation for the Self-dual Yang-Mills theory and the Chiral Model approach to Self-dual gravity is given. We find in Fedosov's geometrical construction of deformation quantization the natural geometrical framework associated to the Moyal deformation of Self-dual gravity.

[ { "created": "Mon, 20 Oct 1997 15:46:04 GMT", "version": "v1" } ]

2007-05-23

[ [ "Garcia-Compean", "Hugo", "" ], [ "Plebanski", "Jerzy F.", "" ], [ "Przanowski", "Maciej", "" ] ]

A geometric formulation of the Moyal deformation for the Self-dual Yang-Mills theory and the Chiral Model approach to Self-dual gravity is given. We find in Fedosov's geometrical construction of deformation quantization the natural geometrical framework associated to the Moyal deformation of Self-dual gravity.

13.063643

7.91049

12.206236

8.314121

7.833639

8.10222

7.602695

8.129508

9.436582

14.148449

9.04255

10.171334

12.458499

10.837935

9.978149

10.192698

10.027085

11.066324

10.640583

11.832859

10.377924

1207.3355

Don N. Page

Generalized Jarzynski Equality

6 pages, LaTeX

null

Alberta-Thy-11-12

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

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

The Jarzynski equality equates the mean of the exponential of the negative of the work (per fixed temperature) done by a changing Hamiltonian on a system, initially in thermal equilibrium at that temperature, to the ratio of the final to the initial equilibrium partition functions of the system at that fixed temperature. It thus relates two thermal equilibrium quantum states. Here a generalization is given that relates any two quantum states of a system.

[ { "created": "Fri, 13 Jul 2012 20:00:04 GMT", "version": "v1" } ]

2012-07-17

[ [ "Page", "Don N.", "" ] ]

The Jarzynski equality equates the mean of the exponential of the negative of the work (per fixed temperature) done by a changing Hamiltonian on a system, initially in thermal equilibrium at that temperature, to the ratio of the final to the initial equilibrium partition functions of the system at that fixed temperature. It thus relates two thermal equilibrium quantum states. Here a generalization is given that relates any two quantum states of a system.

7.374657

7.566047

9.56123

7.075083

7.753136

9.18364

9.298137

7.534081

8.235456

9.775342

6.873423

7.272805

6.555264

7.031505

6.844053

6.849098

6.710141

6.600719

7.505031

7.147918

7.330524

1905.12014

Makoto Natsuume

Makoto Natsuume, Takashi Okamura

Holographic chaos, pole-skipping, and regularity

19 pages, PTEPHY; v2: a few clarifications, published version

Prog Theor Exp Phys (2020)

10.1093/ptep/ptz155

KEK-TH-2128

hep-th gr-qc

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

We investigate the "pole-skipping" phenomenon in holographic chaos. According to the pole-skipping, the energy-density Green's function is not unique at a special point in complex momentum plane. This arises because the bulk field equation has two regular near-horizon solutions at the special point. We study the regularity of two solutions more carefully using curvature invariants. In the upper-half $\omega$-plane, one solution, which is normally interpreted as the outgoing mode, is in general singular at the future horizon and produces a curvature singularity. However, at the special point, both solutions are indeed regular. Moreover, the incoming mode cannot be uniquely defined at the special point due to these solutions.

[ { "created": "Tue, 28 May 2019 18:19:22 GMT", "version": "v1" }, { "created": "Wed, 5 Feb 2020 07:32:15 GMT", "version": "v2" } ]

2020-02-12

[ [ "Natsuume", "Makoto", "" ], [ "Okamura", "Takashi", "" ] ]

We investigate the "pole-skipping" phenomenon in holographic chaos. According to the pole-skipping, the energy-density Green's function is not unique at a special point in complex momentum plane. This arises because the bulk field equation has two regular near-horizon solutions at the special point. We study the regularity of two solutions more carefully using curvature invariants. In the upper-half $\omega$-plane, one solution, which is normally interpreted as the outgoing mode, is in general singular at the future horizon and produces a curvature singularity. However, at the special point, both solutions are indeed regular. Moreover, the incoming mode cannot be uniquely defined at the special point due to these solutions.

11.711554

9.705298

13.198416

9.474925

10.499949

9.894149

9.829959

9.484626

10.10643

13.820098

9.695596

10.434373

11.660945

10.70184

10.637167

10.797625

10.964314

10.709438

10.997936

11.886937

10.42636

hep-th/0603037

Jamila Douari

Neumann Boundary Conditions from D1-Brane Description at the Presence of Electric Field

10 pages, v2: some equations are corrected and some points have been clarified

Phys.Lett.B644:83-87,2007

10.1016/j.physletb.2006.11.017

null

hep-th

null

We study the fluctuations of D1$\bot$D3 branes from D1-Brane description in the presence of world volume electric field. The fluctuations are found to obey Neumann boundary conditions separating the system into two regions depending on electric field $E$.

[ { "created": "Mon, 6 Mar 2006 13:50:52 GMT", "version": "v1" }, { "created": "Sat, 9 Sep 2006 18:48:31 GMT", "version": "v2" } ]

2010-10-27

[ [ "Douari", "Jamila", "" ] ]

We study the fluctuations of D1$\bot$D3 branes from D1-Brane description in the presence of world volume electric field. The fluctuations are found to obey Neumann boundary conditions separating the system into two regions depending on electric field $E$.

19.468025

12.565304

19.079535

12.256268

13.929311

13.177503

13.270404

12.313745

13.729443

22.49991

11.596194

13.439151

19.244146

14.995707

14.211911

14.122862

14.262542

14.228327

14.961777

17.816343

14.022109

hep-th/9509162

Kanehisa Takasaki

Toshio Nakatsu (Ritsumeikan University) and Kanehisa Takasaki (Kyoto University)

Whitham-Toda hierarchy and N = 2 supersymmetric Yang-Mills theory

13 pages, LaTeX

Mod.Phys.Lett. A11 (1996) 157-168

10.1142/S0217732396000187

KUCP-0083

hep-th

null

The exact solution of $N=2$ supersymmetric $SU(N)$ Yang-Mills theory is studied in the framework of the Whitham hierarchies. The solution is identified with a homogeneous solution of a Whitham hierarchy. This integrable hierarchy (Whitham-Toda hierarchy) describes modulation of a quasi-periodic solution of the (generalized) Toda lattice hierarchy associated with the hyperelliptic curves over the quantum moduli space. The relation between the holomorphic pre-potential of the low energy effective action and the $\tau$ function of the (generalized) Toda lattice hierarchy is also clarified.

[ { "created": "Thu, 28 Sep 1995 03:47:51 GMT", "version": "v1" } ]

2015-06-26

[ [ "Nakatsu", "Toshio", "", "Ritsumeikan University" ], [ "Takasaki", "Kanehisa", "", "Kyoto\n University" ] ]

The exact solution of $N=2$ supersymmetric $SU(N)$ Yang-Mills theory is studied in the framework of the Whitham hierarchies. The solution is identified with a homogeneous solution of a Whitham hierarchy. This integrable hierarchy (Whitham-Toda hierarchy) describes modulation of a quasi-periodic solution of the (generalized) Toda lattice hierarchy associated with the hyperelliptic curves over the quantum moduli space. The relation between the holomorphic pre-potential of the low energy effective action and the $\tau$ function of the (generalized) Toda lattice hierarchy is also clarified.

6.35382

5.451662

6.674027

5.811746

5.768589

5.470803

5.532753

5.179692

5.233379

7.578522

5.405794

5.6403

6.249378

5.528411

5.654033

5.710781

5.563266

5.590595

5.666779

6.294062

5.533188

hep-th/9410098

null

H. Boschi-Filho, C. Farina and A. de Souza Dutra

The Partition Function for an Anyon-Like Oscillator

LaTex, 9 pages, preprint IF/UFRJ

J.Phys. A28 (1995) L7-L12

10.1088/0022-3727/28/1/003

null

hep-th

null

We compute the partition function of an anyon-like harmonic oscillator. The well known results for both the bosonic and fermionic oscillators are then reobtained as particular cases as ours. The technique we employ is a non-relativistic version of the Green function method used in the computation of one-loop effective actions of quantum field theory.

[ { "created": "Thu, 13 Oct 1994 20:00:44 GMT", "version": "v1" } ]

2009-10-28

[ [ "Boschi-Filho", "H.", "" ], [ "Farina", "C.", "" ], [ "Dutra", "A. de Souza", "" ] ]

We compute the partition function of an anyon-like harmonic oscillator. The well known results for both the bosonic and fermionic oscillators are then reobtained as particular cases as ours. The technique we employ is a non-relativistic version of the Green function method used in the computation of one-loop effective actions of quantum field theory.

10.939724

9.575287

10.830595

9.837623

9.713099

10.466781

9.372902

9.700334

10.059639

11.316226

9.859058

10.450292

10.801787

10.576931

10.588007

10.190921

10.255392

10.533012

10.579851

10.964412

10.124612

1912.06025

Marc Geiller

Marc Geiller, Puttarak Jai-akson

Extended actions, dynamics of edge modes, and entanglement entropy

50 pages, 1 figure, published version

J. High Energ. Phys. 2020, 134 (2020)

10.1007/JHEP09(2020)134

null

hep-th gr-qc

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

In this work we propose a simple and systematic framework for including edge modes in gauge theories on manifolds with boundaries. We argue that this is necessary in order to achieve the factorizability of the path integral, the Hilbert space and the phase space, and that it explains how edge modes acquire a boundary dynamics and can contribute to observables such as the entanglement entropy. Our construction starts with a boundary action containing edge modes. In the case of Maxwell theory for example this is equivalent to coupling the gauge field to boundary sources in order to be able to factorize the theory between subregions. We then introduce a new variational principle which produces a systematic boundary contribution to the symplectic structure, and thereby provides a covariant realization of the extended phase space constructions which have appeared previously in the literature. When considering the path integral for the extended bulk + boundary action, integrating out the bulk degrees of freedom with chosen boundary conditions produces a residual boundary dynamics for the edge modes, in agreement with recent observations concerning the contribution of edge modes to the entanglement entropy. We put our proposal to the test with the familiar examples of Chern-Simons and BF theory, and show that it leads to consistent results. This therefore leads us to conjecture that this mechanism is generically true for any gauge theory, which can therefore all be expected to posses a boundary dynamics. We expect to be able to eventually apply this formalism to gravitational theories.

[ { "created": "Thu, 12 Dec 2019 15:24:14 GMT", "version": "v1" }, { "created": "Tue, 29 Sep 2020 21:44:58 GMT", "version": "v2" } ]

2020-10-01

[ [ "Geiller", "Marc", "" ], [ "Jai-akson", "Puttarak", "" ] ]

In this work we propose a simple and systematic framework for including edge modes in gauge theories on manifolds with boundaries. We argue that this is necessary in order to achieve the factorizability of the path integral, the Hilbert space and the phase space, and that it explains how edge modes acquire a boundary dynamics and can contribute to observables such as the entanglement entropy. Our construction starts with a boundary action containing edge modes. In the case of Maxwell theory for example this is equivalent to coupling the gauge field to boundary sources in order to be able to factorize the theory between subregions. We then introduce a new variational principle which produces a systematic boundary contribution to the symplectic structure, and thereby provides a covariant realization of the extended phase space constructions which have appeared previously in the literature. When considering the path integral for the extended bulk + boundary action, integrating out the bulk degrees of freedom with chosen boundary conditions produces a residual boundary dynamics for the edge modes, in agreement with recent observations concerning the contribution of edge modes to the entanglement entropy. We put our proposal to the test with the familiar examples of Chern-Simons and BF theory, and show that it leads to consistent results. This therefore leads us to conjecture that this mechanism is generically true for any gauge theory, which can therefore all be expected to posses a boundary dynamics. We expect to be able to eventually apply this formalism to gravitational theories.

9.607471

8.976715

9.31256

9.230953

9.451446

9.24808

9.073657

8.912243

9.215747

10.65454

9.074975

9.149174

9.13791

8.902452

9.104709

8.887442

8.899964

8.885617

9.0123

8.992042

9.064848

hep-th/9611163

Juan Maldacena

Juan M. Maldacena

N=2 Extremal Black Holes and Intersecting Branes

4 pages, no figures. Typos corrected

Phys.Lett. B403 (1997) 20-22

10.1016/S0370-2693(97)00412-7

RU-96-103

hep-th

null

Using a simple hypothesis about the degrees of freedom of intersecting branes we find a microscopic counting argument that reproduces the entropy of a class of BPS black holes of type IIA string theory on general Calabi Yau three folds.

[ { "created": "Thu, 21 Nov 1996 00:47:11 GMT", "version": "v1" }, { "created": "Mon, 10 Mar 1997 16:04:54 GMT", "version": "v2" } ]

2009-10-30

[ [ "Maldacena", "Juan M.", "" ] ]

Using a simple hypothesis about the degrees of freedom of intersecting branes we find a microscopic counting argument that reproduces the entropy of a class of BPS black holes of type IIA string theory on general Calabi Yau three folds.

11.663803

8.368038

11.715935

8.315957

8.240166

9.266994

8.231276

8.309873

9.232203

13.182014

8.32297

8.734414

10.554385

8.506036

8.783016

8.642971

9.037638

8.801282

8.44826

11.133595

8.496373

1412.4275

Nikolaos Brouzakis

Petros Asimakis, Nikolaos Brouzakis, Aris Katsis and Nikolaos Tetradis

Quantum Corrections in Classicalon Theories

8 pages, 1 figure, citation added

null

10.1016/j.physletb.2015.02.031

null

hep-th

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

We use the heat kernel in order to compute the one-loop effective action on a classicalon background. We find that the UV divergences are suppressed relative to the predictions of standard perturbation theory in the interior of the classicalon. There is a strong analogy with the suppression of quantum fluctuations in Galileon theories, within the regions where the Vainshtein mechanism operates (discussed in arXiv:1401.2775). Both classicalon and Galileon theories display reduced UV sensitivity on certain backgrounds.

[ { "created": "Sat, 13 Dec 2014 20:28:24 GMT", "version": "v1" }, { "created": "Tue, 16 Dec 2014 16:39:44 GMT", "version": "v2" }, { "created": "Tue, 17 Feb 2015 20:00:59 GMT", "version": "v3" } ]

2015-06-23

[ [ "Asimakis", "Petros", "" ], [ "Brouzakis", "Nikolaos", "" ], [ "Katsis", "Aris", "" ], [ "Tetradis", "Nikolaos", "" ] ]

We use the heat kernel in order to compute the one-loop effective action on a classicalon background. We find that the UV divergences are suppressed relative to the predictions of standard perturbation theory in the interior of the classicalon. There is a strong analogy with the suppression of quantum fluctuations in Galileon theories, within the regions where the Vainshtein mechanism operates (discussed in arXiv:1401.2775). Both classicalon and Galileon theories display reduced UV sensitivity on certain backgrounds.

13.975117

11.030121

11.377746

10.802726

11.552037

13.00654

11.318222

11.176122

11.205399

12.245257

11.038629

11.20077

11.817988

10.907838

11.600502

11.680514

11.50681

11.136877

11.381993

12.39686

11.497958

1604.06025

Everton Murilo Carvalho Abreu

Everton M. C. Abreu, Jorge A. Neto, Rafael L. Fernandes and Albert C. R. Mendes

Gauge-invariant extensions of the Proca model in a noncommutative space-time

14 pages

null

10.1142/S0217751X16501505

null

hep-th

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

The gauge invariance analysis of theories described in noncommutative (NC) space-times can lead us to interesting results since noncommutativity is one of the possible paths to investigate quantum effects in classical theories such as general relativity, for example. This theoretical possibility has motivated us to analyze the gauge invariance of the NC version of the Proca model, which is a second-class system, in Dirac's classification, since its classical formulation (commutative space-time) has its gauge invariance broken thanks to the mass term. To obtain such gauge invariant model, we have used the gauge unfixing method to construct a first-class NC version of the Proca model. We have also questioned if the gauge symmetries of NC theories, are affected necessarily or not by the NC parameter. In this way, we have calculated its respective symmetries in a standard way via Poisson brackets.

[ { "created": "Wed, 20 Apr 2016 16:29:33 GMT", "version": "v1" } ]

2016-10-12

[ [ "Abreu", "Everton M. C.", "" ], [ "Neto", "Jorge A.", "" ], [ "Fernandes", "Rafael L.", "" ], [ "Mendes", "Albert C. R.", "" ] ]

The gauge invariance analysis of theories described in noncommutative (NC) space-times can lead us to interesting results since noncommutativity is one of the possible paths to investigate quantum effects in classical theories such as general relativity, for example. This theoretical possibility has motivated us to analyze the gauge invariance of the NC version of the Proca model, which is a second-class system, in Dirac's classification, since its classical formulation (commutative space-time) has its gauge invariance broken thanks to the mass term. To obtain such gauge invariant model, we have used the gauge unfixing method to construct a first-class NC version of the Proca model. We have also questioned if the gauge symmetries of NC theories, are affected necessarily or not by the NC parameter. In this way, we have calculated its respective symmetries in a standard way via Poisson brackets.

10.921487

9.877819

11.342548

9.580581

10.481865

10.024911

10.38361

9.55315

9.703052

11.750619

9.404369

9.979767

10.916983

10.225038

10.292146

10.227078

9.788818

10.068107

10.190773

10.764771

9.981379

1110.2174

Fabio Zwirner

Francesca Catino, Giovanni Villadoro, Fabio Zwirner

On Fayet-Iliopoulos terms and de Sitter vacua in supergravity: some easy pieces

17 pages, no figures; v3: added sentence at the end of section 3.2

JHEP01 (2012) 002

10.1007/JHEP01(2012)002

DFPD-2011/TH/15; SLAC-PUB-14627

hep-th hep-ph

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

We clarify a number of issues on Fayet-Iliopoulos (FI) terms in supergravity, keeping the formalism at a minumum and making use of explicit examples. We explain why, if the U(1) vector is massive everywhere in field space, FI terms are not genuine and can always be redefined away or introduced when they are not present. We formulate a simple anomaly-free model with a genuine FI term, a classically stable de Sitter (dS) vacuum and no global symmetries. We explore the relation between N=2 and N=1 FI terms by discussing N=1 truncations of N=2 models with classically stable dS vacua.

[ { "created": "Mon, 10 Oct 2011 20:00:02 GMT", "version": "v1" }, { "created": "Tue, 18 Oct 2011 16:47:05 GMT", "version": "v2" }, { "created": "Fri, 30 Dec 2011 16:13:48 GMT", "version": "v3" } ]

2012-01-12

[ [ "Catino", "Francesca", "" ], [ "Villadoro", "Giovanni", "" ], [ "Zwirner", "Fabio", "" ] ]

We clarify a number of issues on Fayet-Iliopoulos (FI) terms in supergravity, keeping the formalism at a minumum and making use of explicit examples. We explain why, if the U(1) vector is massive everywhere in field space, FI terms are not genuine and can always be redefined away or introduced when they are not present. We formulate a simple anomaly-free model with a genuine FI term, a classically stable de Sitter (dS) vacuum and no global symmetries. We explore the relation between N=2 and N=1 FI terms by discussing N=1 truncations of N=2 models with classically stable dS vacua.

9.584908

9.440244

9.81076

8.9491

8.56712

9.627101

9.135247

8.461542

8.672603

9.782885

8.542636

9.105617

9.261292

8.817742

9.027213

8.727648

9.065099

9.119823

8.845781

9.750382

8.720392

1003.0745

Shesansu Pal

Shesansu Sekhar Pal

Weak Gravity Conjecture, Central Charges and $\eta/s$

1+14 pages; v2 A note and few references added

null

hep-th

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

We correlate the weak gravity conjecture (WGC), the KSS conjecture with chemical potential at extremality and the central charges by going through a particular example in five dimensional AdS spacetime with two unknown coefficients $c_1, c_2$, assuming WGC exists in AdS spacetime. The result that follows from this example suggests that WGC makes the KSS conjecture to hold in the extremal limit but only when one of the coefficient vanishes ($c_1=0, c_2\neq 0$ or $c_2=0, c_1\neq 0$) and when both the coefficients are non zero it can respect and/or violate the KSS conjecture depending on the choice to $c_1$ at extremality, even though $\eta/s$ do not depend on $c_1$ at extremality. Moreover, WGC is not fully compatible with the calculation of central charges even though the bounds on coefficient $c_1$ that follows from demanding WGC stays within the bounds that central charges predict. As usual, the KSS conjecture is violated, of course, in the non-extremal limit.

[ { "created": "Wed, 3 Mar 2010 08:02:33 GMT", "version": "v1" }, { "created": "Mon, 15 Mar 2010 09:27:54 GMT", "version": "v2" } ]

2010-03-16

[ [ "Pal", "Shesansu Sekhar", "" ] ]

We correlate the weak gravity conjecture (WGC), the KSS conjecture with chemical potential at extremality and the central charges by going through a particular example in five dimensional AdS spacetime with two unknown coefficients $c_1, c_2$, assuming WGC exists in AdS spacetime. The result that follows from this example suggests that WGC makes the KSS conjecture to hold in the extremal limit but only when one of the coefficient vanishes ($c_1=0, c_2\neq 0$ or $c_2=0, c_1\neq 0$) and when both the coefficients are non zero it can respect and/or violate the KSS conjecture depending on the choice to $c_1$ at extremality, even though $\eta/s$ do not depend on $c_1$ at extremality. Moreover, WGC is not fully compatible with the calculation of central charges even though the bounds on coefficient $c_1$ that follows from demanding WGC stays within the bounds that central charges predict. As usual, the KSS conjecture is violated, of course, in the non-extremal limit.

8.597181

9.188201

8.4011

8.29507

8.323953

9.186415

8.351105

8.36323

8.535205

9.033195

8.034312

8.273593

8.423815

8.570098

8.492588

8.573152

8.44453

8.501333

8.716347

8.658799

8.398513

2006.09390

Valentin Reys

Nikolay Bobev, Anthony M. Charles, Kiril Hristov, Valentin Reys

The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS$_4$ Holography

6 pages

Phys. Rev. Lett. 125, 131601 (2020)

10.1103/PhysRevLett.125.131601

null

hep-th

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

We study four-derivative corrections to four-dimensional $\mathcal{N}=2$ minimal gauged supergravity and show that they are controlled by two real constants. The solutions of the equations of motion in the two-derivative theory are not modified by the higher-derivative corrections. We use this to derive a general formula for the regularized on-shell action for any asymptotically locally AdS$_4$ solution of the theory and show how the higher-derivative corrections affect black hole thermodynamic quantities in a universal way. We employ our results in the context of holography to derive explicit expressions for the subleading corrections in the large $N$ expansion of supersymmetric partition functions on various compact manifolds for a large class of three-dimensional SCFTs.

[ { "created": "Tue, 16 Jun 2020 18:00:02 GMT", "version": "v1" } ]

2020-09-30

[ [ "Bobev", "Nikolay", "" ], [ "Charles", "Anthony M.", "" ], [ "Hristov", "Kiril", "" ], [ "Reys", "Valentin", "" ] ]

We study four-derivative corrections to four-dimensional $\mathcal{N}=2$ minimal gauged supergravity and show that they are controlled by two real constants. The solutions of the equations of motion in the two-derivative theory are not modified by the higher-derivative corrections. We use this to derive a general formula for the regularized on-shell action for any asymptotically locally AdS$_4$ solution of the theory and show how the higher-derivative corrections affect black hole thermodynamic quantities in a universal way. We employ our results in the context of holography to derive explicit expressions for the subleading corrections in the large $N$ expansion of supersymmetric partition functions on various compact manifolds for a large class of three-dimensional SCFTs.

4.600126

4.500709

5.193008

4.212576

4.365733

4.264216

4.193026

4.348341

4.318241

5.292351

4.346598

4.377439

4.914433

4.419833

4.491187

4.343764

4.422242

4.437049

4.33568

4.732425

4.469584

1810.12528

Kedar Kolekar

Kedar S. Kolekar, K. Narayan

On $AdS_2$ holography from redux, renormalization group flows and $c$-functions

Latex, 40pgs incl appendices; v2: minor tweaks, figure added; v3: minor clarifications added, matches version to be published

null

10.1007/JHEP02(2019)039

null

hep-th

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

Extremal black branes upon compactification in the near horizon throat region are known to give rise to $AdS_2$ dilaton-gravity-matter theories. Away from the throat region, the background has nontrivial profile. We interpret this as holographic renormalization group flow in the 2-dim dilaton-gravity-matter theories arising from dimensional reduction of the higher dimensional theories here. The null energy conditions allow us to formulate a holographic c-function in terms of the 2-dim dilaton for which we argue a c-theorem subject to appropriate boundary conditions which amount to restrictions on the ultraviolet theories containing these extremal branes. At the infrared $AdS_2$ fixed point, the c-function becomes the extremal black brane entropy. We discuss the behaviour of this inherited c-function in various explicit examples, in particular compactified nonconformal branes, and compare it with other discussions of holographic c-functions. We also adapt the holographic renormalization group formulated in terms of radial Hamiltonian flow to 2-dim dilaton-gravity-scalar theories, which while not Wilsonian, gives qualitative insight into the flow equations and $\beta$-functions.

[ { "created": "Tue, 30 Oct 2018 04:52:11 GMT", "version": "v1" }, { "created": "Wed, 7 Nov 2018 11:05:50 GMT", "version": "v2" }, { "created": "Mon, 28 Jan 2019 06:26:18 GMT", "version": "v3" } ]

2019-02-20

[ [ "Kolekar", "Kedar S.", "" ], [ "Narayan", "K.", "" ] ]

Extremal black branes upon compactification in the near horizon throat region are known to give rise to $AdS_2$ dilaton-gravity-matter theories. Away from the throat region, the background has nontrivial profile. We interpret this as holographic renormalization group flow in the 2-dim dilaton-gravity-matter theories arising from dimensional reduction of the higher dimensional theories here. The null energy conditions allow us to formulate a holographic c-function in terms of the 2-dim dilaton for which we argue a c-theorem subject to appropriate boundary conditions which amount to restrictions on the ultraviolet theories containing these extremal branes. At the infrared $AdS_2$ fixed point, the c-function becomes the extremal black brane entropy. We discuss the behaviour of this inherited c-function in various explicit examples, in particular compactified nonconformal branes, and compare it with other discussions of holographic c-functions. We also adapt the holographic renormalization group formulated in terms of radial Hamiltonian flow to 2-dim dilaton-gravity-scalar theories, which while not Wilsonian, gives qualitative insight into the flow equations and $\beta$-functions.

10.302447

10.188593

11.207251

10.089861

9.699754

10.15625

10.285596

9.792581

9.431238

11.717394

9.726925

9.993834

9.898002

9.583749

9.767388

9.46651

9.719319

9.479223

9.925147

10.111771

9.561349

2405.05168

Hai-Qing Zhang

Tian-Chi Ma, Han-Qing Shi, Hai-Qing Zhang

Asymmetric Symmetry Breaking: Unequal Probabilities of Vacuum Selection

5+2 pages, 3+2 figures, context improved, references added

null

hep-th cond-mat.supr-con gr-qc hep-ph

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

Spontaneous symmetry breaking is a fundamental notion in modern physics, ranging from high energy to condensed matter. However, the usual spontaneous symmetry breaking only considers the equal probability to select the vacua. In this work, we conceive a model to realize the unequal probability of the symmetry breaking, leading to an unbalanced number of ground states. Specifically, we study the probabilities of a scalar field to roll down from the top of a potential, where the top is only $C^1$ continuous. As the whole system is subject to random perturbations, we find that the probability for the field to roll down to the left or right side depends the square root of the second derivative of the potential at the top. We solve this problem theoretically by using the Fokker-Planck equations in stochastic process and verify our findings numerically. This study may potentially be a new mechanism to explain the origins of asymmetries in the Universe.

[ { "created": "Wed, 8 May 2024 16:06:22 GMT", "version": "v1" }, { "created": "Sat, 25 May 2024 06:35:10 GMT", "version": "v2" } ]

2024-05-28

[ [ "Ma", "Tian-Chi", "" ], [ "Shi", "Han-Qing", "" ], [ "Zhang", "Hai-Qing", "" ] ]

Spontaneous symmetry breaking is a fundamental notion in modern physics, ranging from high energy to condensed matter. However, the usual spontaneous symmetry breaking only considers the equal probability to select the vacua. In this work, we conceive a model to realize the unequal probability of the symmetry breaking, leading to an unbalanced number of ground states. Specifically, we study the probabilities of a scalar field to roll down from the top of a potential, where the top is only $C^1$ continuous. As the whole system is subject to random perturbations, we find that the probability for the field to roll down to the left or right side depends the square root of the second derivative of the potential at the top. We solve this problem theoretically by using the Fokker-Planck equations in stochastic process and verify our findings numerically. This study may potentially be a new mechanism to explain the origins of asymmetries in the Universe.

8.382137

8.58881

8.158844

8.299881

8.565772

8.164918

8.608477

8.158397

8.681937

8.695499

7.960002

8.144864

8.134202

7.927447

8.008143

7.990753

8.119956

7.886325

7.929181

8.185623

7.832386

0907.5555

Wen-Yu Wen

Hsien-Chung Kao, Wen-Yu Wen

Absorption cross section in warped AdS_3 black hole revisited

16+1 pages, typos corrected, references and footnotes added

JHEP 0909:102,2009

10.1088/1126-6708/2009/09/102

null

hep-th

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

We investigate the absorption cross section for minimal-coupled scalars in the warped AdS_3 black hole. According to our calculation, the cross section reduces to the horizon area in the low energy limit as usually expected in contrast to what was previously found. We also calculate the greybody factor and find that the effective temperatures for the two chiral CFT's are consistent with that derived from the quasinormal modes. Observing the conjectured warped AdS/CFT correspondence, we suspect that a specific sector of the CFT operators with the desired conformal dimension could be responsible for the peculiar thermal behaviour of the warped AdS_3 black hole.

[ { "created": "Fri, 31 Jul 2009 15:31:16 GMT", "version": "v1" }, { "created": "Wed, 23 Sep 2009 14:49:54 GMT", "version": "v2" } ]

2009-10-16

[ [ "Kao", "Hsien-Chung", "" ], [ "Wen", "Wen-Yu", "" ] ]

We investigate the absorption cross section for minimal-coupled scalars in the warped AdS_3 black hole. According to our calculation, the cross section reduces to the horizon area in the low energy limit as usually expected in contrast to what was previously found. We also calculate the greybody factor and find that the effective temperatures for the two chiral CFT's are consistent with that derived from the quasinormal modes. Observing the conjectured warped AdS/CFT correspondence, we suspect that a specific sector of the CFT operators with the desired conformal dimension could be responsible for the peculiar thermal behaviour of the warped AdS_3 black hole.

12.329727

10.222734

12.587151

10.197412

10.443891

10.479396

10.719677

10.149712

10.105047

12.454244

10.251925

10.0079

11.407115

10.068521

9.820741

10.146796

10.202905

10.089262

9.783465

11.469495

10.017048

1805.00991

Adalto R. Gomes

Adalto R. Gomes, F. C. Simas, K. Z. Nobrega, P. P. Avelino

False vacuum decay in kink scattering

16 pages, 17 figures

null

10.1007/JHEP10(2018)192

null

hep-th

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

In this work we consider kink-antikink and antikink-kink collisions in a modified $\phi^4$ model with a false vacuum characterized by a dimensionless parameter $\epsilon$. The usual $\phi^4$ model is recovered for $\epsilon=0$. We investigate the $\epsilon<<1$ regime where the kink in the presence of false vacuum can be understood as a small deformation of the standard kink for the $\phi^4$ model. We show that the attractive interaction between the kink-antikink pair leads to a rich scattering pattern, in some cases delaying considerably the false vacuum decay.

[ { "created": "Wed, 2 May 2018 19:32:18 GMT", "version": "v1" } ]

2018-11-14

[ [ "Gomes", "Adalto R.", "" ], [ "Simas", "F. C.", "" ], [ "Nobrega", "K. Z.", "" ], [ "Avelino", "P. P.", "" ] ]

In this work we consider kink-antikink and antikink-kink collisions in a modified $\phi^4$ model with a false vacuum characterized by a dimensionless parameter $\epsilon$. The usual $\phi^4$ model is recovered for $\epsilon=0$. We investigate the $\epsilon<<1$ regime where the kink in the presence of false vacuum can be understood as a small deformation of the standard kink for the $\phi^4$ model. We show that the attractive interaction between the kink-antikink pair leads to a rich scattering pattern, in some cases delaying considerably the false vacuum decay.

6.609666

5.585647

6.303977

5.504754

5.517191

5.727696

5.857158

5.553873

5.553617

6.849787

5.544677

5.761642

6.100507

5.87366

5.97612

5.956217

5.78912

5.984219

5.943963

5.911421

5.953824

1011.5147

Abolfazl Jafari

The photo-balls and static solutions in NCQED with time attended

4 pages

null

hep-th

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

We drive the potential of photon interaction from Feynman diagrams amplitudes, and we show that the photo-balls, can be produced in noncommutative electrodynamics with time attended but for the static and localized fields, the static solutions (the lumps) can not be exited.

[ { "created": "Mon, 22 Nov 2010 14:52:33 GMT", "version": "v1" }, { "created": "Tue, 8 Mar 2011 12:51:52 GMT", "version": "v2" }, { "created": "Thu, 26 May 2011 07:11:38 GMT", "version": "v3" } ]

2011-05-27

[ [ "Jafari", "Abolfazl", "" ] ]

We drive the potential of photon interaction from Feynman diagrams amplitudes, and we show that the photo-balls, can be produced in noncommutative electrodynamics with time attended but for the static and localized fields, the static solutions (the lumps) can not be exited.

68.900513

51.032234

56.346111

50.674698

61.599228

55.391109

62.862251

55.627686

56.200249

65.35247

52.789291

46.658859

60.220219

56.474415

52.853428

49.453362

53.936298

47.456455

58.79538

59.622654

51.173725

2312.05904

Kaberi Goswami

Kaberi Goswami, K. Narayan

Small Schwarzschild de Sitter black holes, the future boundary and islands

Latex, 34pgs, 1 fig, v2: references, clarifications added, matches published version. arXiv admin note: text overlap with arXiv:2207.10724

null

hep-th

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

We continue the study of 4-dimensional Schwarzschild de Sitter black holes in the regime where the black hole mass is small compared with the de Sitter scale, following arXiv:2207.10724 [hep-th]. The de Sitter temperature is very low compared with that of the black hole. We consider the future boundary as the location where the black hole Hawking radiation is collected. Using 2-dimensional tools, we find unbounded growth of the entanglement entropy of radiation as the radiation region approaches the entire future boundary. Self-consistently including appropriate late time islands emerging just inside the black hole horizon leads to a reasonable Page curve. We also discuss other potential island solutions which show inconsistencies.

[ { "created": "Sun, 10 Dec 2023 15:00:17 GMT", "version": "v1" }, { "created": "Fri, 12 Apr 2024 06:53:18 GMT", "version": "v2" } ]

2024-04-15

[ [ "Goswami", "Kaberi", "" ], [ "Narayan", "K.", "" ] ]

We continue the study of 4-dimensional Schwarzschild de Sitter black holes in the regime where the black hole mass is small compared with the de Sitter scale, following arXiv:2207.10724 [hep-th]. The de Sitter temperature is very low compared with that of the black hole. We consider the future boundary as the location where the black hole Hawking radiation is collected. Using 2-dimensional tools, we find unbounded growth of the entanglement entropy of radiation as the radiation region approaches the entire future boundary. Self-consistently including appropriate late time islands emerging just inside the black hole horizon leads to a reasonable Page curve. We also discuss other potential island solutions which show inconsistencies.

12.643252

10.954039

13.148991

11.545955

11.836098

12.125446

11.751414

12.061861

10.589708

14.063823

11.367864

11.655611

12.677086

11.593013

11.81015

11.721185

11.607377

11.953829

11.439526

12.656302

11.323251

1406.5290

Mahmut Elbistan

Topological Concepts for the Weyl Hamiltonians with the Berry Gauge Field

13 pages

null

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

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

The winding numbers for the even d+1 spacetime dimensional Weyl Hamiltonians are calculated in terms of the related Green's functions. It is shown that these winding numbers result in the divergence of the Dirac monopole fields, hence they are equal to the unit topological charge. It is demonstrated that the winding numbers are also equal to the Chern numbers which are expressed as the integral of the Berry field strength. Explicit calculations are presented for the 3+1 and 5+1 dimensional cases. Relevance of these topological invariants for the physical systems like the semiclassical chiral kinetic theory are discussed.

[ { "created": "Fri, 20 Jun 2014 07:07:48 GMT", "version": "v1" } ]

2014-06-23

[ [ "Elbistan", "Mahmut", "" ] ]

The winding numbers for the even d+1 spacetime dimensional Weyl Hamiltonians are calculated in terms of the related Green's functions. It is shown that these winding numbers result in the divergence of the Dirac monopole fields, hence they are equal to the unit topological charge. It is demonstrated that the winding numbers are also equal to the Chern numbers which are expressed as the integral of the Berry field strength. Explicit calculations are presented for the 3+1 and 5+1 dimensional cases. Relevance of these topological invariants for the physical systems like the semiclassical chiral kinetic theory are discussed.

10.192085

10.265286

11.061135

9.715225

9.623058

9.218222

10.264291

9.571937

9.424995

10.149784

8.872706

9.479933

10.132278

9.698394

9.754312

9.631755

9.560888

9.34675

9.663396

10.130031

9.575899

hep-th/0605099

Steven Thomas

Steven Thomas and John Ward

Non-Abelian (p,q) Strings in the Warped Deformed Conifold

18 pages, Latex, 1 figure; Added a discussion of the case when the warp factor parameter $b\neq 1$ and typos corrected

JHEP0612:057,2006

10.1088/1126-6708/2006/12/057

QMUL-PH-06-06

hep-th

null

We calculate the tension of $(p,q)$-strings in the warped deformed conifold using the non-Abelian DBI action. In the large flux limit, we find exact agreement with the recent expression obtained by Firouzjahi, Leblond and Henry-Tye up to and including order $1/M^2$ terms if $q$ is also taken to be large. Furthermore using the finite $q$ prescription for the symmetrised trace operation we anticipate the most general expression for the tension valid for any $(p,q)$. We find that even in this instance, corrections to the tension scale as $1/M^2$ which is not consistent with simple Casimir scaling.

[ { "created": "Tue, 9 May 2006 15:23:46 GMT", "version": "v1" }, { "created": "Wed, 17 May 2006 17:31:58 GMT", "version": "v2" } ]

2009-11-11

[ [ "Thomas", "Steven", "" ], [ "Ward", "John", "" ] ]

We calculate the tension of $(p,q)$-strings in the warped deformed conifold using the non-Abelian DBI action. In the large flux limit, we find exact agreement with the recent expression obtained by Firouzjahi, Leblond and Henry-Tye up to and including order $1/M^2$ terms if $q$ is also taken to be large. Furthermore using the finite $q$ prescription for the symmetrised trace operation we anticipate the most general expression for the tension valid for any $(p,q)$. We find that even in this instance, corrections to the tension scale as $1/M^2$ which is not consistent with simple Casimir scaling.

12.284197

11.977353

13.460928

11.494338

12.167095

12.242486

10.797425

11.137663

10.88151

14.201191

11.026573

10.895208

12.156636

10.965617

11.436184

11.142046

11.015868

10.897812

10.782048

11.783982

10.673457

1005.4408

Barak Kol

On Conformal Deformations II

16 pages

null

hep-th

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

The conformal index counts the number of exactly marginal deformations. In 4d the index is given by the number of chiral primary operators of dimension 3 moded out by the complexified global group, where the quotient is defined as usual by imposing a D-term. Here we show its consistency with the Leigh-Strassler method for weakly coupled theories, and we test it against known examples. In several examples this method discovers extra exactly marginal deformations beyond those of Leigh-Strassler. [This is an unpublished paper dated 3.3.03.]

[ { "created": "Mon, 24 May 2010 20:00:05 GMT", "version": "v1" }, { "created": "Thu, 3 Jun 2010 14:34:17 GMT", "version": "v2" } ]

2010-06-04

[ [ "Kol", "Barak", "" ] ]

The conformal index counts the number of exactly marginal deformations. In 4d the index is given by the number of chiral primary operators of dimension 3 moded out by the complexified global group, where the quotient is defined as usual by imposing a D-term. Here we show its consistency with the Leigh-Strassler method for weakly coupled theories, and we test it against known examples. In several examples this method discovers extra exactly marginal deformations beyond those of Leigh-Strassler. [This is an unpublished paper dated 3.3.03.]

16.547709

15.668308

17.394985

16.305426

19.021444

16.475908

17.985857

16.871658

15.195456

18.298338

16.194042

14.997863

16.59749

15.478277

16.018478

15.833329

15.751842

15.489962

15.840613

16.731308

15.280909

1706.10016

Guozhen Wu

Sen Hu, Guozhen Wu

Entanglement Entropy of $AdS_5 \times S^5$ with massive flavors

null

Mod. Phys. Lett. A, Vol. 33, No. 3 (2018) 1850008

10.1142/S0217732318500086

null

hep-th

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

We consider backreacted $AdS_5 \times S^5$ coupled with $N_f$ massive flavors introduced by D7-branes. The backreacted geometry is in the Veneziano limit with fixed $N_f/N_c$. By dividing one of the directions into a line segment with length $l$, we get two subspaces. Then we calculate the entanglement entropy between them. With the method provided by Klebanov, Kutasov and Murugan, we are able to find the cut-off independent part of the entanglement entropy and finally find that this geometry shows no phase transition as the case in pure $AdS_5 \times S^5$.

[ { "created": "Fri, 30 Jun 2017 04:30:08 GMT", "version": "v1" }, { "created": "Wed, 5 Jul 2017 13:44:01 GMT", "version": "v2" }, { "created": "Wed, 2 Aug 2017 03:23:23 GMT", "version": "v3" } ]

2018-01-25

[ [ "Hu", "Sen", "" ], [ "Wu", "Guozhen", "" ] ]

We consider backreacted $AdS_5 \times S^5$ coupled with $N_f$ massive flavors introduced by D7-branes. The backreacted geometry is in the Veneziano limit with fixed $N_f/N_c$. By dividing one of the directions into a line segment with length $l$, we get two subspaces. Then we calculate the entanglement entropy between them. With the method provided by Klebanov, Kutasov and Murugan, we are able to find the cut-off independent part of the entanglement entropy and finally find that this geometry shows no phase transition as the case in pure $AdS_5 \times S^5$.

8.098096

7.118161

8.837211

6.883677

6.984007

7.062404

7.149919

7.130958

7.108155

9.291229

7.126894

7.396224

7.602462

7.832727

7.266773

7.404328

7.039552

7.564427

7.568933

8.194799

7.382286

0805.3517

A. Yu. Petrov

M. A. Anacleto, C. Furtado, J. R. Nascimento, A. Yu. Petrov

On the dual equivalence between self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking

14 pages, minor corrections, version accepted to Physical Review D

Phys.Rev.D78:065014,2008

10.1103/PhysRevD.78.065014

null

hep-th

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

In this paper, we use gauge embedding procedure and master action approach to establish the equivalence between the self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking. As a result, new kinds of Lorentz-breaking terms arise.

[ { "created": "Thu, 22 May 2008 17:56:27 GMT", "version": "v1" }, { "created": "Mon, 26 May 2008 13:11:51 GMT", "version": "v2" }, { "created": "Tue, 10 Jun 2008 16:58:30 GMT", "version": "v3" }, { "created": "Wed, 13 Aug 2008 19:18:23 GMT", "version": "v4" } ]

2008-12-18

[ [ "Anacleto", "M. A.", "" ], [ "Furtado", "C.", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ] ]

In this paper, we use gauge embedding procedure and master action approach to establish the equivalence between the self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking. As a result, new kinds of Lorentz-breaking terms arise.

11.672942

7.39548

11.762913

7.544165

7.340211

6.77058

7.268258

6.913137

7.222719

12.929036

7.088699

8.196835

9.996844

8.601052

8.490586

8.276887

8.292778

8.23602

8.757468

9.82949

8.516582

2407.18866

Amr Ahmadain

Amr Ahmadain, Vasudev Shyam, Zihan Yan

A Comment on Deriving the Gibbons-Hawking-York Term From the String Worldsheet

11 pages

null

hep-th gr-qc

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

In this note, we show that the noncovariant metric boundary term obtained from the nonlinear sigma model worldsheet derivation of the bulk off-shell sphere partition function is closely related to the Einstein boundary term in the Gamma-Gamma noncovariant action. In fact, when expressed in terms of the trace of the extrinsic curvature tensor, we illustrate that this boundary term has one-half the coefficient of the Gibbons-Hawking-York boundary term required such that the total (bulk plus boundary) off-shell classical action has a well-posed variational principle with Dirichlet boundary conditions.

[ { "created": "Fri, 26 Jul 2024 16:53:23 GMT", "version": "v1" } ]

2024-07-29

[ [ "Ahmadain", "Amr", "" ], [ "Shyam", "Vasudev", "" ], [ "Yan", "Zihan", "" ] ]

In this note, we show that the noncovariant metric boundary term obtained from the nonlinear sigma model worldsheet derivation of the bulk off-shell sphere partition function is closely related to the Einstein boundary term in the Gamma-Gamma noncovariant action. In fact, when expressed in terms of the trace of the extrinsic curvature tensor, we illustrate that this boundary term has one-half the coefficient of the Gibbons-Hawking-York boundary term required such that the total (bulk plus boundary) off-shell classical action has a well-posed variational principle with Dirichlet boundary conditions.

12.152408

12.653729

11.833515

10.194892

10.707669

10.65301

10.532928

10.634129

12.391343

12.009537

11.756497

10.715101

10.682874

10.692411

10.489137

10.503073

10.474887

10.264556

10.896553

11.670566

10.885308

0902.4814

Patrick Meessen

P. Meessen, A. Palomo-Lozano

Cosmological solutions from fake N=2 EYM supergravity

30 pages. Comments and references added, typos corrected

JHEP 0905:042,2009

10.1088/1126-6708/2009/05/042

IFT-UAM/CSIC-09-08

hep-th

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

We characterise the (fake) supersymmetric solutions of Wick-rotated N=2 d=4 gauged supergravity coupled to non-Abelian vector multiplets. In the time-like case we obtain generalisations of Kastor & Traschen's cosmological black holes: they have a specific time-dependence and the base-space must be 3-dimensional hyperCR/Gauduchon-Tod space. In the null-case, we find that the metric has a holonomy contained in Sim(2), give a general characterisation of the solutions, and give some examples. Finally, we point out that in some cases the solutions we found are non-BPS solutions to N=2 d=4 supergravity coupled to vector multiplets.

[ { "created": "Fri, 27 Feb 2009 12:11:43 GMT", "version": "v1" }, { "created": "Wed, 11 Mar 2009 15:10:40 GMT", "version": "v2" }, { "created": "Fri, 13 Mar 2009 11:53:14 GMT", "version": "v3" } ]

2010-01-15

[ [ "Meessen", "P.", "" ], [ "Palomo-Lozano", "A.", "" ] ]

We characterise the (fake) supersymmetric solutions of Wick-rotated N=2 d=4 gauged supergravity coupled to non-Abelian vector multiplets. In the time-like case we obtain generalisations of Kastor & Traschen's cosmological black holes: they have a specific time-dependence and the base-space must be 3-dimensional hyperCR/Gauduchon-Tod space. In the null-case, we find that the metric has a holonomy contained in Sim(2), give a general characterisation of the solutions, and give some examples. Finally, we point out that in some cases the solutions we found are non-BPS solutions to N=2 d=4 supergravity coupled to vector multiplets.

10.570585

8.641817

12.491972

8.99404

9.080702

9.528066

9.587351

9.500321

8.688394

12.854452

8.717686

10.172348

11.485777

9.54827

10.07051

10.136225

9.788335

10.109606

9.874487

12.011209

9.515518

hep-th/9401109

Simon Philip Adrian Gill

S.W. Hawking

The Superscattering Matrix for Two Dimensional Black Holes

12 pages (R/94/4)

Phys.Rev. D50 (1994) 3982-3986

10.1103/PhysRevD.50.3982

null

hep-th

null

A consistent Euclidean semi classical calculation is given for the superscattering operator $\$ $ in the RST model for states with a constant flux of energy. The $\$ $ operator is CPT invariant. There is no loss of quantum coherence when the energy flux is less than a critical rate and complete loss when the energy flux is critical.

[ { "created": "Fri, 21 Jan 1994 18:44:43 GMT", "version": "v1" } ]

2009-10-28

[ [ "Hawking", "S. W.", "" ] ]

A consistent Euclidean semi classical calculation is given for the superscattering operator $\$ $ in the RST model for states with a constant flux of energy. The $\$ $ operator is CPT invariant. There is no loss of quantum coherence when the energy flux is less than a critical rate and complete loss when the energy flux is critical.

27.168133

18.306198

20.340082

18.851196

22.211946

19.406279

20.271208

16.796301

18.026285

24.719259

19.7826

18.395531

19.470341

19.086014

19.0366

19.330381

19.12179

19.097275

19.346209

20.885668

19.420679

2207.01161

Harold Blas

H. Blas, J.J. Monsalve, R. Quica\~no and J.R.V. Pereira

Majorana zero mode-soliton duality and in-gap and BIC bound states in modified Toda model coupled to fermion

68 pages, 25 figures, LaTex. New sections present a formula of the Atiyah-Patodi-Singer-type, for non-zero and zero modes. Figs with numerical kinks and bound states added

null

10.1007/JHEP09(2022)082

null

hep-th cond-mat.supr-con math-ph math.MP nlin.SI

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

A two-dimensional field theory of a fermion chirally coupled to Toda field plus a scalar self-coupling potential is considered. Using techniques of integrable systems we obtain analytical zero modes, in-gap states and bound states in the continuum (BIC) for topological configurations of the scalar field. Fermion-soliton duality mappings are uncovered for the bound state spectrum, which interpolates the weak and strong coupling sectors of the model and give rise to novel Thirring-like and multi-frequency sine-Gordon models, respectively. The non-perturbative effects of the back-reaction of the fermion bound states on the kink are studied and it is shown that the zero mode would catalyze the emergence of a new kink with lower topological charge and greater slope at the center, in the strong coupling limit of the model. For special topological charges and certain relative phases of the fermion components the kinks can host Majorana zero modes. The Noether, topological and a novel nonlocal charge densities satisfy a formula of the Atiyah-Patodi-Singer-type. Our results may find applications in several branches of non-linear physics, such as confinement in QCD$_2$, braneworld models, high $T_c$ superconductivity and topological quantum computation. We back up our results with numerical simulations for continuous families of topological sectors.

[ { "created": "Mon, 4 Jul 2022 02:07:24 GMT", "version": "v1" }, { "created": "Fri, 12 Aug 2022 19:40:18 GMT", "version": "v2" } ]

2022-09-28

[ [ "Blas", "H.", "" ], [ "Monsalve", "J. J.", "" ], [ "Quicaño", "R.", "" ], [ "Pereira", "J. R. V.", "" ] ]

A two-dimensional field theory of a fermion chirally coupled to Toda field plus a scalar self-coupling potential is considered. Using techniques of integrable systems we obtain analytical zero modes, in-gap states and bound states in the continuum (BIC) for topological configurations of the scalar field. Fermion-soliton duality mappings are uncovered for the bound state spectrum, which interpolates the weak and strong coupling sectors of the model and give rise to novel Thirring-like and multi-frequency sine-Gordon models, respectively. The non-perturbative effects of the back-reaction of the fermion bound states on the kink are studied and it is shown that the zero mode would catalyze the emergence of a new kink with lower topological charge and greater slope at the center, in the strong coupling limit of the model. For special topological charges and certain relative phases of the fermion components the kinks can host Majorana zero modes. The Noether, topological and a novel nonlocal charge densities satisfy a formula of the Atiyah-Patodi-Singer-type. Our results may find applications in several branches of non-linear physics, such as confinement in QCD$_2$, braneworld models, high $T_c$ superconductivity and topological quantum computation. We back up our results with numerical simulations for continuous families of topological sectors.

12.26314

12.232481

12.953956

11.37324

11.916502

12.173784

12.036867

12.120625

11.856991

13.590034

11.851597

11.897896

11.912919

11.785204

11.706029

11.696554

11.931814

11.307649

11.694793

12.098516

11.601995

0912.5191

Stepanyantz Konstantin

A.B.Pimenov, E.S.Shevtsova, K.V.Stepanyantz

Calculation of two-loop beta-function for general N=1 supersymmetric Yang--Mills theory with the higher covariant derivative regularization

9 pages, no figures, some references added

Phys.Lett.B686:293-297,2010

10.1016/j.physletb.2010.02.047

null

hep-th

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

For the general renormalizable N=1 supersymmetric Yang--Mills theory, regularized by higher covariant derivatives, a two-loop beta-function is calculated. It is shown that all integrals, needed for obtaining this function, can be easily calculated, because they are integrals of total derivatives.

[ { "created": "Mon, 28 Dec 2009 16:56:14 GMT", "version": "v1" }, { "created": "Sun, 24 Jan 2010 18:08:30 GMT", "version": "v2" } ]

2014-11-20

[ [ "Pimenov", "A. B.", "" ], [ "Shevtsova", "E. S.", "" ], [ "Stepanyantz", "K. V.", "" ] ]

For the general renormalizable N=1 supersymmetric Yang--Mills theory, regularized by higher covariant derivatives, a two-loop beta-function is calculated. It is shown that all integrals, needed for obtaining this function, can be easily calculated, because they are integrals of total derivatives.

8.549963

5.041694

6.765544

5.388942

5.698119

5.021421

5.262622

5.196963

5.527947

7.42379

5.747009

6.021349

7.053202

6.302118

6.141081

6.195443

6.202192

6.003617

6.280634

6.944012

6.190693

hep-th/0008105

Arkady Segal

A. Yu. Segal

Point particle in general background fields and generalized equivalence principle

21 pages, reference added, typos corrected

null

FIAN/TD/12/00

hep-th

null

The model of point particle in general external fields is considered and the generalized equivalence principle is suggested identifying all backgrounds which give rise to equivalent particle dynamics. The equivalence transformations for external fields are interpreted as gauge ones. The gauge group appears to be a semidirect product of all phase space canonical transformations to an abelian ideal of "hyperWeyl" transformations and includes U(1) and general coordinate symmetries as a subgroup. The implications of this gauge symmetry are considered and a connection of general backgrounds to the infinite collection of Fronsdal gauge fields is studied. Although the result is negative and no direct connection arises, it is discussed how higher spin fields could be found among general external fields if one relaxes somehow the equivalence principle. Besides, the particle action in general backgrounds is shown to reproduce the De Wit-Freedman point particle -- symmetric tensors first order interaction suggested many years ago, and generalizes their result to all orders in interaction.

[ { "created": "Sat, 12 Aug 2000 10:30:31 GMT", "version": "v1" }, { "created": "Wed, 16 Aug 2000 11:30:32 GMT", "version": "v2" } ]

2007-05-23

[ [ "Segal", "A. Yu.", "" ] ]

The model of point particle in general external fields is considered and the generalized equivalence principle is suggested identifying all backgrounds which give rise to equivalent particle dynamics. The equivalence transformations for external fields are interpreted as gauge ones. The gauge group appears to be a semidirect product of all phase space canonical transformations to an abelian ideal of "hyperWeyl" transformations and includes U(1) and general coordinate symmetries as a subgroup. The implications of this gauge symmetry are considered and a connection of general backgrounds to the infinite collection of Fronsdal gauge fields is studied. Although the result is negative and no direct connection arises, it is discussed how higher spin fields could be found among general external fields if one relaxes somehow the equivalence principle. Besides, the particle action in general backgrounds is shown to reproduce the De Wit-Freedman point particle -- symmetric tensors first order interaction suggested many years ago, and generalizes their result to all orders in interaction.

21.261393

21.770132

23.420399

18.450171

19.947985

23.471395

19.925053

21.010675

21.186625

27.504847

19.848501

18.871643

21.238649

19.675081

19.742767

19.303017

18.860628

19.477604

19.683714

21.766567

19.259892

1902.05175

Tadashi Okazaki

Davide Gaiotto, Tadashi Okazaki

Dualities of Corner Configurations and Supersymmetric Indices

108 pages, 22 figures, v3: published version in JHEP

JHEP 1911 (2019) 056

10.1007/JHEP11(2019)056

null

hep-th

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

We compute supersymmetric indices which count local operators at certain half-BPS interfaces and quarter-BPS junctions of interfaces in four-dimensional $\mathcal{N}=4$ Super Yang-Mills theory. We use the indices as very stringent tests of a variety of string theory-inspired conjectures about the action of S-duality on such defects.

[ { "created": "Thu, 14 Feb 2019 00:51:28 GMT", "version": "v1" }, { "created": "Tue, 19 Mar 2019 23:15:43 GMT", "version": "v2" }, { "created": "Sun, 17 Nov 2019 02:13:26 GMT", "version": "v3" } ]

2019-11-19

[ [ "Gaiotto", "Davide", "" ], [ "Okazaki", "Tadashi", "" ] ]

We compute supersymmetric indices which count local operators at certain half-BPS interfaces and quarter-BPS junctions of interfaces in four-dimensional $\mathcal{N}=4$ Super Yang-Mills theory. We use the indices as very stringent tests of a variety of string theory-inspired conjectures about the action of S-duality on such defects.

11.604219

8.776594

12.57448

8.950102

9.43586

9.449681

10.055999

9.355171

8.967001

15.807458

10.029448

9.815989

12.143415

10.345489

10.279263

9.801408

10.222573

9.679634

9.769797

12.815907

10.360844

1610.02038

Josiah Couch

Josiah Couch, Willy Fischler, Phuc H. Nguyen

Noether charge, black hole volume, and complexity

v4: Changed to match published version

JHEP 1703 (2017) 119

10.1007/JHEP03(2017)119

UTTG-16-16

hep-th gr-qc

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

In this paper, we study the physical significance of the thermodynamic volumes of AdS black holes using the Noether charge formalism of Iyer and Wald. After applying this formalism to study the extended thermodynamics of a few examples, we discuss how the extended thermodynamics interacts with the recent complexity = action proposal of Brown et al. (CA-duality). We, in particular, discover that their proposal for the late time rate of change of complexity has a nice decomposition in terms of thermodynamic quantities reminiscent of the Smarr relation. This decomposition strongly suggests a geometric, and via CA-duality holographic, interpretation for the thermodynamic volume of an AdS black hole. We go on to discuss the role of thermodynamics in complexity = action for a number of black hole solutions, and then point out the possibility of an alternate proposal, which we dub "complexity = volume 2.0". In this alternate proposal, the complexity would be thought of as the spacetime volume of the Wheeler-DeWitt patch. Finally, we provide evidence that, in certain cases, our proposal for complexity is consistent with the Lloyd bound whereas CA-duality is not.

[ { "created": "Thu, 6 Oct 2016 20:00:02 GMT", "version": "v1" }, { "created": "Mon, 14 Nov 2016 20:34:46 GMT", "version": "v2" }, { "created": "Mon, 6 Feb 2017 21:54:20 GMT", "version": "v3" }, { "created": "Wed, 12 Apr 2017 01:01:37 GMT", "version": "v4" } ]

2017-04-13

[ [ "Couch", "Josiah", "" ], [ "Fischler", "Willy", "" ], [ "Nguyen", "Phuc H.", "" ] ]

In this paper, we study the physical significance of the thermodynamic volumes of AdS black holes using the Noether charge formalism of Iyer and Wald. After applying this formalism to study the extended thermodynamics of a few examples, we discuss how the extended thermodynamics interacts with the recent complexity = action proposal of Brown et al. (CA-duality). We, in particular, discover that their proposal for the late time rate of change of complexity has a nice decomposition in terms of thermodynamic quantities reminiscent of the Smarr relation. This decomposition strongly suggests a geometric, and via CA-duality holographic, interpretation for the thermodynamic volume of an AdS black hole. We go on to discuss the role of thermodynamics in complexity = action for a number of black hole solutions, and then point out the possibility of an alternate proposal, which we dub "complexity = volume 2.0". In this alternate proposal, the complexity would be thought of as the spacetime volume of the Wheeler-DeWitt patch. Finally, we provide evidence that, in certain cases, our proposal for complexity is consistent with the Lloyd bound whereas CA-duality is not.

7.76087

7.602377

8.408434

7.22826

7.420421

7.249316

7.93527

7.417184

7.187624

8.554922

7.758247

7.586539

7.741421

7.326621

7.100405

7.428735

7.143445

7.41688

7.234755

7.611411

7.339879

hep-th/9905022

Alexandre Grezzi de Miranda Schmidt

Alfredo T. Suzuki and Alexandre G. M. Schmidt

Prescriptionless light-cone integrals

6 pages, no figures, Revtex style, reference [2] corrected

Eur.Phys.J.C12:361-365,2000

10.1007/s100529900229

null

hep-th

null

Perturbative quantum gauge field theory seen within the perspective of physical gauge choices such as the light-cone entails the emergence of troublesome poles of the type $(k\cdot n)^{-\alpha}$ in the Feynman integrals, and these come from the boson field propagator, where $\alpha = 1,2,...$ and $n^{\mu}$ is the external arbitrary four-vector that defines the gauge proper. This becomes an additional hurdle to overcome in the computation of Feynman diagrams, since any graph containing internal boson lines will inevitably produce integrands with denominators bearing the characteristic gauge-fixing factor. How one deals with them has been the subject of research for over decades, and several prescriptions have been suggested and tried in the course of time, with failures and successes. However, a more recent development in this front which applies the negative dimensional technique to compute light-cone Feynman integrals shows that we can altogether dispense with prescriptions to perform the calculations. An additional bonus comes attached to this new technique in that not only it renders the light-cone prescriptionless, but by the very nature of it, can also dispense with decomposition formulas or partial fractioning tricks used in the standard approach to separate pole products of the type $(k\cdot n)^{-\alpha}[(k-p)\cdot n]^{-\beta}$, $(\beta = 1,2,...)$. In this work we demonstrate how all this can be done.

[ { "created": "Tue, 4 May 1999 13:28:45 GMT", "version": "v1" }, { "created": "Tue, 11 May 1999 13:39:04 GMT", "version": "v2" } ]

2011-09-13

[ [ "Suzuki", "Alfredo T.", "" ], [ "Schmidt", "Alexandre G. M.", "" ] ]

Perturbative quantum gauge field theory seen within the perspective of physical gauge choices such as the light-cone entails the emergence of troublesome poles of the type $(k\cdot n)^{-\alpha}$ in the Feynman integrals, and these come from the boson field propagator, where $\alpha = 1,2,...$ and $n^{\mu}$ is the external arbitrary four-vector that defines the gauge proper. This becomes an additional hurdle to overcome in the computation of Feynman diagrams, since any graph containing internal boson lines will inevitably produce integrands with denominators bearing the characteristic gauge-fixing factor. How one deals with them has been the subject of research for over decades, and several prescriptions have been suggested and tried in the course of time, with failures and successes. However, a more recent development in this front which applies the negative dimensional technique to compute light-cone Feynman integrals shows that we can altogether dispense with prescriptions to perform the calculations. An additional bonus comes attached to this new technique in that not only it renders the light-cone prescriptionless, but by the very nature of it, can also dispense with decomposition formulas or partial fractioning tricks used in the standard approach to separate pole products of the type $(k\cdot n)^{-\alpha}[(k-p)\cdot n]^{-\beta}$, $(\beta = 1,2,...)$. In this work we demonstrate how all this can be done.

11.489034

12.762904

12.006622

11.285559

13.316245

12.535184

12.472865

12.258201

11.466178

12.534443

11.985852

11.323081

11.108102

11.017084

11.29758

11.599064

11.485313

11.149691

11.183691

11.356486

11.456404

2202.09846

George Savvidy K

George Savvidy

Maximally Chaotic Dynamical Systems and Fundamental Interactions

79 pages, 17 figures. Based on lectures at the International Bogolyubov Conference "Problems of Theoretical and MathematicalPhysics" at the Steklov Mathematical Institute, Moscow-Dubna, September 9-13, 2019 [arXiv:2001.01785] and seminars at the Niels Bohr Institute, at the CERN Theory Department and A. Alikhanian National Laboratory in Yerevan

null

10.1142/S0217751X22300010

NRCPS-HE-69-2021

hep-th astro-ph.GA math-ph math.MP nlin.CD

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

We give a general review on the application of Ergodic theory to the investigation of dynamics of the Yang-Mills gauge fields and of the gravitational systems, as well as its application in the Monte Carlo method and fluid dynamics. In ergodic theory the maximally chaotic dynamical systems (MCDS) can be defined as dynamical systems that have nonzero Kolmogorov entropy. The hyperbolic dynamical systems that fulfil the Anosov C-condition belong to the MCDS insofar as they have exponential instability of their phase trajectories and positive Kolmogorov entropy. It follows that the C-condition defines a rich class of MCDS that span over an open set in the space of all dynamical systems. The large class of Anosov-Kolmogorov MCDS is realised on Riemannian manifolds of negative sectional curvatures and on high-dimensional tori. The interest in MCDS is rooted in the attempts to understand the relaxation phenomena, the foundations of the statistical mechanics, the appearance of turbulence in fluid dynamics, the non-linear dynamics of Yang-Mills field and gravitating N-body systems as well as black hole thermodynamics. Our aim is to investigate classical- and quantum-mechanical properties of MCDS and their role in the theory of fundamental interactions.

[ { "created": "Sun, 20 Feb 2022 16:05:18 GMT", "version": "v1" } ]

2022-05-25

[ [ "Savvidy", "George", "" ] ]

We give a general review on the application of Ergodic theory to the investigation of dynamics of the Yang-Mills gauge fields and of the gravitational systems, as well as its application in the Monte Carlo method and fluid dynamics. In ergodic theory the maximally chaotic dynamical systems (MCDS) can be defined as dynamical systems that have nonzero Kolmogorov entropy. The hyperbolic dynamical systems that fulfil the Anosov C-condition belong to the MCDS insofar as they have exponential instability of their phase trajectories and positive Kolmogorov entropy. It follows that the C-condition defines a rich class of MCDS that span over an open set in the space of all dynamical systems. The large class of Anosov-Kolmogorov MCDS is realised on Riemannian manifolds of negative sectional curvatures and on high-dimensional tori. The interest in MCDS is rooted in the attempts to understand the relaxation phenomena, the foundations of the statistical mechanics, the appearance of turbulence in fluid dynamics, the non-linear dynamics of Yang-Mills field and gravitating N-body systems as well as black hole thermodynamics. Our aim is to investigate classical- and quantum-mechanical properties of MCDS and their role in the theory of fundamental interactions.

8.237276

9.26365

8.899749

8.379465

8.419168

9.029175

8.205028

8.509461

8.089293

9.337362

8.445478

8.16027

8.399196

8.227482

8.190447

8.495189

8.261108

8.191376

8.246928

8.188701

8.147954

hep-th/0608226

Alain Connes

Noncommutative Geometry and the standard model with neutrino mixing

Typos removed, to appear in JHEP

JHEP0611:081,2006

10.1088/1126-6708/2006/11/081

null

hep-th

null

We show that allowing the metric dimension of a space to be independent of its KO-dimension and turning the finite noncommutative geometry F-- whose product with classical 4-dimensional space-time gives the standard model coupled with gravity--into a space of KO-dimension 6 by changing the grading on the antiparticle sector into its opposite, allows to solve three problems of the previous noncommutative geometry interpretation of the standard model of particle physics: The finite geometry F is no longer put in "by hand" but a conceptual understanding of its structure and a classification of its metrics is given. The fermion doubling problem in the fermionic part of the action is resolved. The spectral action of our joint work with Chamseddine now automatically generates the full standard model coupled with gravity with neutrino mixing and see-saw mechanism for neutrino masses. The predictions of the Weinberg angle and the Higgs scattering parameter at unification scale are the same as in our joint work but we also find a mass relation (to be imposed at unification scale).

[ { "created": "Thu, 31 Aug 2006 14:00:09 GMT", "version": "v1" }, { "created": "Mon, 27 Nov 2006 16:15:58 GMT", "version": "v2" } ]

2009-11-11

[ [ "Connes", "Alain", "" ] ]

We show that allowing the metric dimension of a space to be independent of its KO-dimension and turning the finite noncommutative geometry F-- whose product with classical 4-dimensional space-time gives the standard model coupled with gravity--into a space of KO-dimension 6 by changing the grading on the antiparticle sector into its opposite, allows to solve three problems of the previous noncommutative geometry interpretation of the standard model of particle physics: The finite geometry F is no longer put in "by hand" but a conceptual understanding of its structure and a classification of its metrics is given. The fermion doubling problem in the fermionic part of the action is resolved. The spectral action of our joint work with Chamseddine now automatically generates the full standard model coupled with gravity with neutrino mixing and see-saw mechanism for neutrino masses. The predictions of the Weinberg angle and the Higgs scattering parameter at unification scale are the same as in our joint work but we also find a mass relation (to be imposed at unification scale).

13.801126

17.035681

16.171938

14.846968

13.826643

14.405478

15.576205

14.411159

14.793799

18.084963

13.817383

14.149917

14.517776

13.991686

14.357381

14.708001

14.159693

13.824945

14.043996

15.378171

13.605422

1410.8860

Ivan K. Kostov

Yunfeng Jiang, Ivan Kostov, Andrei Petrovskii, Didina Serban

String Bits and the Spin Vertex

34 pages, 6 figures, a sign correction in eq. (3.1) and appendix added

null

10.1016/j.nuclphysb.2015.05.029

t14/231

hep-th

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

We initiate a novel formalism for computing correlation functions of trace operators in the planar N=4 SYM theory. The central object in our formalism is the spin vertex, which is the weak coupling analogy of the string vertex in string field theory. We construct the spin vertex explicitly for all sectors at the leading order using a set of bosonic and fermionic oscillators. We prove that the vertex has trivial monodromy, or put in other words, it is a Yangian invariant. Since the monodromy of the vertex is the product of the monodromies of the three states, the Yangian invariance of the vertex implies an infinite exact symmetry for the three-point function. We conjecture that this infinite symmetry can be lifted to any loop order.

[ { "created": "Fri, 31 Oct 2014 19:33:43 GMT", "version": "v1" }, { "created": "Fri, 5 Dec 2014 08:29:13 GMT", "version": "v2" }, { "created": "Fri, 15 May 2015 22:47:43 GMT", "version": "v3" } ]

2015-12-09

[ [ "Jiang", "Yunfeng", "" ], [ "Kostov", "Ivan", "" ], [ "Petrovskii", "Andrei", "" ], [ "Serban", "Didina", "" ] ]

We initiate a novel formalism for computing correlation functions of trace operators in the planar N=4 SYM theory. The central object in our formalism is the spin vertex, which is the weak coupling analogy of the string vertex in string field theory. We construct the spin vertex explicitly for all sectors at the leading order using a set of bosonic and fermionic oscillators. We prove that the vertex has trivial monodromy, or put in other words, it is a Yangian invariant. Since the monodromy of the vertex is the product of the monodromies of the three states, the Yangian invariance of the vertex implies an infinite exact symmetry for the three-point function. We conjecture that this infinite symmetry can be lifted to any loop order.

7.035841

7.112582

8.302864

6.986728

6.833029

6.853881

7.363323

6.634949

6.937001

9.082382

7.117428

6.864297

7.531385

6.929799

6.6947

7.119911

6.862467

6.92572

6.823143

7.301871

6.824719

hep-th/0008210

Guy Bonneau

Guy Bonneau (LPTHE, Paris)

Regularisation : many recipes, but a unique principle : Ward identities and Normalisation conditions. The case of CPT violation in QED

14 pages, Latex file

Nucl.Phys. B593 (2001) 398-412

10.1016/S0550-3213(00)00625-8

PAR/LPTHE/00-08

hep-th hep-ph

null

We analyse the recent controversy on a possible Chern-Simons like term generated through radiative corrections in QED with a CPT violating term : we prove that, if the theory is correctly defined through Ward identities and normalisation conditions, no Chern-Simons term appears, without any ambiguity. This is related to the fact that such a term is a kind of minor modification of the gauge fixing term, and then no renormalised. The past year literature on that subject is discussed, and we insist on the fact that any absence of an {\sl a priori} divergence should be explained by some symmetry or some non-renormalisation theorem.

[ { "created": "Mon, 28 Aug 2000 15:07:43 GMT", "version": "v1" } ]

2009-10-31

[ [ "Bonneau", "Guy", "", "LPTHE, Paris" ] ]

We analyse the recent controversy on a possible Chern-Simons like term generated through radiative corrections in QED with a CPT violating term : we prove that, if the theory is correctly defined through Ward identities and normalisation conditions, no Chern-Simons term appears, without any ambiguity. This is related to the fact that such a term is a kind of minor modification of the gauge fixing term, and then no renormalised. The past year literature on that subject is discussed, and we insist on the fact that any absence of an {\sl a priori} divergence should be explained by some symmetry or some non-renormalisation theorem.

15.795206

14.80125

15.939054

14.22283

13.630415

15.12391

14.565269

15.129997

13.550538

16.683039

14.114188

15.192677

15.428609

15.072823

15.636267

15.158467

15.270674

15.365993

14.851372

15.48532

14.681617

hep-th/9307063

null

Jan Ambjorn and Charlotte F. Kristjansen

From 1-matrix model to Kontsevich model

17 pages, Latex

Mod.Phys.Lett. A8 (1993) 2875-2890

10.1142/S0217732393003263

nbi-he-93-30

hep-th

null

Loop equations of matrix models express the invariance of the models under field redefinitions. We use loop equations to prove that it is possible to define continuum times for the generic hermitian {1-matrix} model such that all correlation functions in the double scaling limit agree with the corresponding correlation functions of the Kontsevich model expressed in terms of kdV times. In addition the double scaling limit of the partition function of the hermitian matrix model agree with the $\tau$-function of the kdV hierarchy corresponding to the Kontsevich model (and not the square of the $\tau$-function) except for some complications at genus zero.

[ { "created": "Fri, 9 Jul 1993 11:50:49 GMT", "version": "v1" } ]

2015-06-26

[ [ "Ambjorn", "Jan", "" ], [ "Kristjansen", "Charlotte F.", "" ] ]

Loop equations of matrix models express the invariance of the models under field redefinitions. We use loop equations to prove that it is possible to define continuum times for the generic hermitian {1-matrix} model such that all correlation functions in the double scaling limit agree with the corresponding correlation functions of the Kontsevich model expressed in terms of kdV times. In addition the double scaling limit of the partition function of the hermitian matrix model agree with the $\tau$-function of the kdV hierarchy corresponding to the Kontsevich model (and not the square of the $\tau$-function) except for some complications at genus zero.

9.009444

8.244655

10.000567

7.839788

8.864722

7.945306

8.21276

8.358383

7.885998

9.493137

8.026974

8.08919

7.924233

7.875196

8.024683

8.256604

7.57267

8.327713

7.971947

8.300586

8.054963

1503.04594

Daisuke Kawai

Yuhma Asano, Daisuke Kawai and Kentaroh Yoshida

Chaos in the BMN matrix model

23 pages, 15 figures, v2: further clarifications and references added

null

KUNS-2546

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

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

We study classical chaotic motions in the Berenstein-Maldacena-Nastase (BMN) matrix model. For this purpose, it is convenient to focus upon a reduced system composed of two-coupled anharmonic oscillators by supposing an ansatz. We examine three ans\"atze: 1) two pulsating fuzzy spheres, 2) a single Coulomb-type potential, and 3) integrable fuzzy spheres. For the first two cases, we show the existence of chaos by computing Poincar\'e sections and a Lyapunov spectrum. The third case leads to an integrable system. As a result, the BMN matrix model is not integrable in the sense of Liouville, though there may be some integrable subsectors.

[ { "created": "Mon, 16 Mar 2015 10:30:33 GMT", "version": "v1" }, { "created": "Tue, 9 Jun 2015 16:47:13 GMT", "version": "v2" } ]

2015-06-10

[ [ "Asano", "Yuhma", "" ], [ "Kawai", "Daisuke", "" ], [ "Yoshida", "Kentaroh", "" ] ]

We study classical chaotic motions in the Berenstein-Maldacena-Nastase (BMN) matrix model. For this purpose, it is convenient to focus upon a reduced system composed of two-coupled anharmonic oscillators by supposing an ansatz. We examine three ans\"atze: 1) two pulsating fuzzy spheres, 2) a single Coulomb-type potential, and 3) integrable fuzzy spheres. For the first two cases, we show the existence of chaos by computing Poincar\'e sections and a Lyapunov spectrum. The third case leads to an integrable system. As a result, the BMN matrix model is not integrable in the sense of Liouville, though there may be some integrable subsectors.

6.703874

5.720097

6.990947

5.965751

6.034028

5.96709

5.684644

5.720794

6.019294

6.625557

5.964869

6.30016

6.259181

6.174072

6.299204

6.209294

6.092905

6.165019

6.212979

6.143951

6.103418

hep-th/9402056

Eduardo Ramos

Eduardo Ramos and Sonia Stanciu

On the Supersymmetric BKP-Hierarchy

15 pages, Plain TeX, QMW-PH-94-3

Nucl.Phys. B427 (1994) 338-350

10.1016/0550-3213(94)90280-1

null

hep-th

null

We prove that the supersymmetric BKP-hierarchy of Yu (SBKP_2) is hamiltonian with respect to a nonlinear extension of the N=1 Super-Virasoro algebra (W_SBKP) by fields of spin k, where k>3/2 and 2k = 0,3 mod 4. Moreover, we show how to associate in a similar manner an N=1 W-superalgebra with every integrable hierarchy of the SKdV-type. We also show using dressing transformations how to extend, in a way which is compatible with the hamiltonian structure, the SBKP_2-hierarchy by odd flows, as well as the equivalence of this extended hierarchy to the SBKP-hierarchy of Manin-Radul.

[ { "created": "Thu, 10 Feb 1994 00:08:39 GMT", "version": "v1" } ]

2009-10-28

[ [ "Ramos", "Eduardo", "" ], [ "Stanciu", "Sonia", "" ] ]

We prove that the supersymmetric BKP-hierarchy of Yu (SBKP_2) is hamiltonian with respect to a nonlinear extension of the N=1 Super-Virasoro algebra (W_SBKP) by fields of spin k, where k>3/2 and 2k = 0,3 mod 4. Moreover, we show how to associate in a similar manner an N=1 W-superalgebra with every integrable hierarchy of the SKdV-type. We also show using dressing transformations how to extend, in a way which is compatible with the hamiltonian structure, the SBKP_2-hierarchy by odd flows, as well as the equivalence of this extended hierarchy to the SBKP-hierarchy of Manin-Radul.

9.677245

10.750104

13.878853

9.553141

9.645366

10.879973

10.656484

11.541799

10.171089

12.568321

11.403289

9.971345

10.695862

10.572682

11.286801

10.601437

10.453957

10.813251

10.477212

10.325497

10.407517

hep-th/9506117

null

S.D. Odintsov and A. Wipf

Running surface couplings

11 pages, Latex file

Phys.Lett.B356:26-31,1995

10.1016/0370-2693(95)00806-V

preprint uni-jena- TPI 1/95

hep-th

null

We discuss the renormalization group improved effective action and running surface couplings in curved spacetime with boundary. Using scalar self-interacting theory as an example, we study the influence of the boundary effects to effective equations of motion in spherical cap and the relevance of surface running couplings to quantum cosmology and symmetry breaking phenomenon. Running surface couplings in the asymptotically free SU(2) gauge theory are found.

[ { "created": "Mon, 19 Jun 1995 12:00:57 GMT", "version": "v1" } ]

2009-09-17

[ [ "Odintsov", "S. D.", "" ], [ "Wipf", "A.", "" ] ]

We discuss the renormalization group improved effective action and running surface couplings in curved spacetime with boundary. Using scalar self-interacting theory as an example, we study the influence of the boundary effects to effective equations of motion in spherical cap and the relevance of surface running couplings to quantum cosmology and symmetry breaking phenomenon. Running surface couplings in the asymptotically free SU(2) gauge theory are found.

16.95611

15.381794

17.241016

14.516685

16.532995

15.256485

17.44623

14.596662

15.41328

19.249407

13.475491

16.148863

15.742478

15.787158

16.731464

16.599205

15.316036

15.558513

16.106981

15.82515

15.707337

hep-th/0512129

Matthias Schmidt

S. Charzy\'nski, G. Rudolph, M. Schmidt

On the Topology of the Reduced Classical Configuration Space of Lattice QCD

33 pages, 3 figures

J.Geom.Phys.58:1607-1623,2008

10.1016/j.geomphys.2008.07.005

null

hep-th math-ph math.MP

null

We study the topological structure of the quotient of $SU(3)\times SU(3)$ by diagonal conjugation. This is the simplest nontrivial example for the classical reduced configuration space of chromodynamics on a spatial lattice in the Hamiltonian approach. We construct a cell complex structure of the quotient in such a way that the closures of strata are subcomplexes and we compute the homology and cohomology groups of the strata and their closures.

[ { "created": "Mon, 12 Dec 2005 14:39:56 GMT", "version": "v1" }, { "created": "Mon, 31 Mar 2008 09:24:49 GMT", "version": "v2" } ]

2008-11-26

[ [ "Charzyński", "S.", "" ], [ "Rudolph", "G.", "" ], [ "Schmidt", "M.", "" ] ]

We study the topological structure of the quotient of $SU(3)\times SU(3)$ by diagonal conjugation. This is the simplest nontrivial example for the classical reduced configuration space of chromodynamics on a spatial lattice in the Hamiltonian approach. We construct a cell complex structure of the quotient in such a way that the closures of strata are subcomplexes and we compute the homology and cohomology groups of the strata and their closures.

8.2894

8.534745

8.182965

8.11767

9.165418

8.91712

9.332106

8.564301

9.340192

8.914153

8.581033

8.882661

7.78311

8.25001

8.467269

8.532993

8.96553

8.457217

8.275559

8.822704

8.382527

2108.08694

Bobby Eka Gunara

Emir Syahreza Fadhilla, Bobby Eka Gunara, and Ardian Nata Atmaja

BPS Skyrmions of Generalized Skyrme Model In Higher Dimensions

37 pages, 3 figures. Major revisions: discussion about submodels and the case of $B \ge 1% and appendices added, and some references added. Discussion and analysis improved. Accepted in JHEP

null

hep-th math-ph math.MP

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

In this work we consider the higher dimensional Skyrme model, with spatial dimension $d > 3$, focusing on its BPS submodels and their corresponding features. To accommodate the cases with a higher topological degree, $B\geq 1$, a modified generalized hedgehog ansatz is used where we assign an integer $n_i$ for each rotational plane, resulting in a topological degree that proportional to product of these integers. It is found via BPS Lagrangian method that there are only two possible BPS submodels for this spherically symmetric ansatz which shall be called as BPS Skyrme model and scale-invariant model. The properties of the higher dimensional version of both submodels are studied and it is found that the BPS Skyrmions with $B\geq1$ exist in the first submodel but there is only $B=1$ BPS Skyrmion in the second submodel. We also study the higher dimensional version of self-duality conditions in terms of strain tensor eigenvalues and find that, in general, the scale-invariant model has a stronger self-duality condition than the BPS Skyrme model.

[ { "created": "Thu, 19 Aug 2021 14:02:00 GMT", "version": "v1" }, { "created": "Thu, 18 Nov 2021 14:30:30 GMT", "version": "v2" }, { "created": "Tue, 2 Aug 2022 14:06:47 GMT", "version": "v3" } ]

2022-08-03

[ [ "Fadhilla", "Emir Syahreza", "" ], [ "Gunara", "Bobby Eka", "" ], [ "Atmaja", "Ardian Nata", "" ] ]

In this work we consider the higher dimensional Skyrme model, with spatial dimension $d > 3$, focusing on its BPS submodels and their corresponding features. To accommodate the cases with a higher topological degree, $B\geq 1$, a modified generalized hedgehog ansatz is used where we assign an integer $n_i$ for each rotational plane, resulting in a topological degree that proportional to product of these integers. It is found via BPS Lagrangian method that there are only two possible BPS submodels for this spherically symmetric ansatz which shall be called as BPS Skyrme model and scale-invariant model. The properties of the higher dimensional version of both submodels are studied and it is found that the BPS Skyrmions with $B\geq1$ exist in the first submodel but there is only $B=1$ BPS Skyrmion in the second submodel. We also study the higher dimensional version of self-duality conditions in terms of strain tensor eigenvalues and find that, in general, the scale-invariant model has a stronger self-duality condition than the BPS Skyrme model.

9.05399

8.450624

9.665956

8.399844

9.061127

8.586575

8.533581

8.441564

8.458736

9.94519

8.891941

8.541874

8.695874

8.56841

8.482424

8.549322

8.448074

8.439347

8.507098

8.841672

8.501457

1901.11292

Josef Kluson

J. Kluson

(m,n)-String and D1-Brane in Stringy Newton-Cartan Background

19 pages

null

10.1007/JHEP04(2019)163

null

hep-th gr-qc

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

This paper is devoted to the analysis of (m,n)-string in stringy Newton-Cartan background. We start with the Hamiltonian constraint for (m,n)-string in general background and perform limiting procedure on metric and NSNS and Ramond-Ramond two form background that leads to stringy Newton-Cartan gravity. We also analyze conditions that these background fields have to obey in order to define consistent world-sheet (m,n)-theory. We also discuss D1-brane with dynamical electric field in stringy Newton-Cartan gravity.

[ { "created": "Thu, 31 Jan 2019 09:59:30 GMT", "version": "v1" } ]

2019-05-22

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

This paper is devoted to the analysis of (m,n)-string in stringy Newton-Cartan background. We start with the Hamiltonian constraint for (m,n)-string in general background and perform limiting procedure on metric and NSNS and Ramond-Ramond two form background that leads to stringy Newton-Cartan gravity. We also analyze conditions that these background fields have to obey in order to define consistent world-sheet (m,n)-theory. We also discuss D1-brane with dynamical electric field in stringy Newton-Cartan gravity.

10.472829

8.071497

10.802705

8.226774

8.27908

8.010733

8.378501

9.108758

7.852139

11.420686

8.533022

8.096136

9.604569

8.497769

8.272545

8.232528

8.228732

8.271802

8.239513

9.287376

8.736349

2007.08913

Ioannis Lavdas

Ioannis Lavdas, Dieter Lust

Massive gravitons on the Landscape and the AdS Distance Conjecture

null

hep-th gr-qc

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

This work regards IIB string theory embeddings of massive and bi-metric $AdS_{4}$ gravity where the spectrum of the theory includes multiple massive gravitons. The corresponding geometry consists of multiple $AdS_{4}\times_{w}\mathcal{M}_{6}$ spacetimes coupled by Janus throats of different radii. In the second part of this work, the AdS distance conjecture is studied in the above context and it is shown that the scale of the predicted infinite tower of light states is related to the breakdown scale of the effective field theory.

[ { "created": "Fri, 17 Jul 2020 11:42:33 GMT", "version": "v1" } ]

2020-07-20

[ [ "Lavdas", "Ioannis", "" ], [ "Lust", "Dieter", "" ] ]

This work regards IIB string theory embeddings of massive and bi-metric $AdS_{4}$ gravity where the spectrum of the theory includes multiple massive gravitons. The corresponding geometry consists of multiple $AdS_{4}\times_{w}\mathcal{M}_{6}$ spacetimes coupled by Janus throats of different radii. In the second part of this work, the AdS distance conjecture is studied in the above context and it is shown that the scale of the predicted infinite tower of light states is related to the breakdown scale of the effective field theory.

12.020804

11.494395

13.761517

10.072433

10.988302

10.376507

11.445467

11.077287

11.222226

14.020457

10.898225

10.818784

11.076145

11.122463

11.031465

11.349471

10.910847

10.561275

10.985105

11.697268

11.135613

hep-th/9503043

Hidetoshi Awata

H. Awata, Y. Matsuo, S. Odake and J. Shiraishi

Excited States of Calogero-Sutherland Model and Singular Vectors of the $W_N$ Algebra

LaTeX, 29 pages, 2 figures, New sections for skew-Jack polynomial and example of singular vectors added

Nucl.Phys. B449 (1995) 347-374

10.1016/0550-3213(95)00286-2

RIMS-1009, YITP/U-95-3, SULDP-1995-2

hep-th cond-mat

null

Using the collective field method, we find a relation between the Jack symmetric polynomials, which describe the excited states of the Calogero-Sutherland model, and the singular vectors of the $W_N$ algebra. Based on this relation, we obtain their integral representations. We also give a direct algebraic method which leads to the same result, and integral representations of the skew-Jack polynomials.

[ { "created": "Tue, 7 Mar 1995 17:45:13 GMT", "version": "v1" }, { "created": "Wed, 8 Mar 1995 05:48:54 GMT", "version": "v2" }, { "created": "Thu, 9 Mar 1995 13:35:42 GMT", "version": "v3" }, { "created": "Thu, 11 May 1995 08:21:23 GMT", "version": "v4" } ]

2009-10-28

[ [ "Awata", "H.", "" ], [ "Matsuo", "Y.", "" ], [ "Odake", "S.", "" ], [ "Shiraishi", "J.", "" ] ]

Using the collective field method, we find a relation between the Jack symmetric polynomials, which describe the excited states of the Calogero-Sutherland model, and the singular vectors of the $W_N$ algebra. Based on this relation, we obtain their integral representations. We also give a direct algebraic method which leads to the same result, and integral representations of the skew-Jack polynomials.

9.804968

6.374598

11.847004

6.538424

6.296596

6.156139

6.601641

6.180663

6.577462

9.562402

6.880541

6.932434

9.401543

7.595758

7.462969

7.477799

7.320022

7.49537

7.302027

9.174994

7.038795

0801.3274

Zohar Komargodski

On collinear factorization of Wilson loops and MHV amplitudes in N=4 SYM

26 pages, 7 figures, JHEP format. v2: minor corrections. v3: minor improvements

JHEP 0805:019,2008

10.1088/1126-6708/2008/05/019

WIS/01/08-JAN-DPP

hep-th

null

We consider the (multi) Splitting function of Wilson loops and MHV gluon scattering S matrix elements in N=4 SYM. At strong coupling, one can utilize the methods of Alday and Maldacena and at weak coupling (one loop) the correspondence to light like Wilson loops is used. In both cases, the (multi) Splitting function corresponds to flattened cusps in the light like polygon, allowing for a clean disentanglement from the other gluons. We compute it in some cases and estimate some terms in other cases. We also prove the anomalous Ward identity of Drummond et al. in the strong coupling regime. Lastly, we briefly comment on a possible strategy for a proof of collinear factorization of Wilson loops at higher orders of perturbation theory.

[ { "created": "Mon, 21 Jan 2008 21:05:36 GMT", "version": "v1" }, { "created": "Tue, 11 Mar 2008 21:24:57 GMT", "version": "v2" }, { "created": "Thu, 17 Apr 2008 12:24:48 GMT", "version": "v3" } ]

2014-11-18

[ [ "Komargodski", "Zohar", "" ] ]

We consider the (multi) Splitting function of Wilson loops and MHV gluon scattering S matrix elements in N=4 SYM. At strong coupling, one can utilize the methods of Alday and Maldacena and at weak coupling (one loop) the correspondence to light like Wilson loops is used. In both cases, the (multi) Splitting function corresponds to flattened cusps in the light like polygon, allowing for a clean disentanglement from the other gluons. We compute it in some cases and estimate some terms in other cases. We also prove the anomalous Ward identity of Drummond et al. in the strong coupling regime. Lastly, we briefly comment on a possible strategy for a proof of collinear factorization of Wilson loops at higher orders of perturbation theory.

12.805308

15.208641

14.559752

12.582905

12.887459

13.225152

13.451412

12.893955

12.883757

15.654664

12.654619

12.738533

12.885444

12.065919

12.78903

12.367699

12.698725

12.632318

12.362507

13.179551

12.48168

1912.05780

Leo Rodriguez

Sathwik Bharadwaj, L. R. Ram-Mohan, Leo Rodriguez, Shanshan Rodriguez

Exploration of The Duality Between Generalized Geometry and Extraordinary Magnetoresistance

13 pages and 6 figures. Revised/edited for clarity and purpose. Several references added. Updated title based on suggestions and comments received. Version accepted for publication in Phys.Rev.B

Phys. Rev. B 101, 174417 (2020)

10.1103/PhysRevB.101.174417

null

hep-th cond-mat.mtrl-sci

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

We outline the duality between the extraordinary magnetoresistance (EMR), observed in semiconductor-metal hybrids, and non-symmetric gravity coupled to a diffusive $U(1)$ gauge field. The corresponding gravity theory may be interpreted as the generalized complex geometry of the semi-direct product of the symmetric metric and the antisymmetric Kalb-Ramond field: ($g_{\mu\nu}+\beta_{\mu\nu}$). We construct the four dimensional covariant field theory and compute the resulting equations of motion. The equations encode the most general form of EMR within a well defined variational principle, for specific lower dimensional embedded geometric scenarios. Our formalism also reveals the emergence of additional diffusive pseudo currents for a completely dynamic field theory of EMR. The proposed equations of motion now include terms that induce geometrical deformations in the device geometry in order to optimize the EMR. This bottom-up dual description between EMR and generalized geometry/gravity lends itself to a deeper insight into the EMR effect with the promise of potentially new physical phenomena and properties.

[ { "created": "Thu, 12 Dec 2019 05:47:41 GMT", "version": "v1" }, { "created": "Mon, 27 Apr 2020 06:06:12 GMT", "version": "v2" } ]

2023-05-24

[ [ "Bharadwaj", "Sathwik", "" ], [ "Ram-Mohan", "L. R.", "" ], [ "Rodriguez", "Leo", "" ], [ "Rodriguez", "Shanshan", "" ] ]

We outline the duality between the extraordinary magnetoresistance (EMR), observed in semiconductor-metal hybrids, and non-symmetric gravity coupled to a diffusive $U(1)$ gauge field. The corresponding gravity theory may be interpreted as the generalized complex geometry of the semi-direct product of the symmetric metric and the antisymmetric Kalb-Ramond field: ($g_{\mu\nu}+\beta_{\mu\nu}$). We construct the four dimensional covariant field theory and compute the resulting equations of motion. The equations encode the most general form of EMR within a well defined variational principle, for specific lower dimensional embedded geometric scenarios. Our formalism also reveals the emergence of additional diffusive pseudo currents for a completely dynamic field theory of EMR. The proposed equations of motion now include terms that induce geometrical deformations in the device geometry in order to optimize the EMR. This bottom-up dual description between EMR and generalized geometry/gravity lends itself to a deeper insight into the EMR effect with the promise of potentially new physical phenomena and properties.

16.707037

19.187181

18.285826

17.27755

17.697977

17.349184

17.590567

18.519844

17.588829

20.103632

16.158464

16.036419

16.234632

15.537368

15.887309

15.397336

15.90125

15.603629

16.657745

17.290991

15.77494