LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0312209

C. Hofman

Bartomeu Fiol, Christiaan Hofman and Ernesto Lozano-Tellechea

Causal Structure of d=5 Vacua and Axisymmetric Spacetimes

LaTeX, 36 pages, 3 figures; v2: added reference

JHEP 0402 (2004) 034

10.1088/1126-6708/2004/02/034

WIS/35/03-DEC-DPP

hep-th

null

We study the structure of closed timelike curves (CTCs) for the near horizon limit of the five dimensional BMPV black hole, in its overrotating regime. We argue that Bousso's holographic screens are inside the chronologically safe region, extending a similar observation of Boyda et al. hep-th/0212087 for Goedel type solutions. We then extend this result to quite generic axisymmetric spacetimes with CTCs, showing that causal geodesics can't escape the chronologically safe region. As a spin-off of our results, we fill a gap in the identification of all maximally supersymmetric solutions of minimal five dimensional supergravity, bringing this problem to a full conclusion.

[ { "created": "Wed, 17 Dec 2003 20:48:33 GMT", "version": "v1" }, { "created": "Thu, 22 Jan 2004 13:12:44 GMT", "version": "v2" } ]

2009-11-10

[ [ "Fiol", "Bartomeu", "" ], [ "Hofman", "Christiaan", "" ], [ "Lozano-Tellechea", "Ernesto", "" ] ]

We study the structure of closed timelike curves (CTCs) for the near horizon limit of the five dimensional BMPV black hole, in its overrotating regime. We argue that Bousso's holographic screens are inside the chronologically safe region, extending a similar observation of Boyda et al. hep-th/0212087 for Goedel type solutions. We then extend this result to quite generic axisymmetric spacetimes with CTCs, showing that causal geodesics can't escape the chronologically safe region. As a spin-off of our results, we fill a gap in the identification of all maximally supersymmetric solutions of minimal five dimensional supergravity, bringing this problem to a full conclusion.

10.926289

12.56215

12.164548

10.682448

10.878454

11.347112

11.783161

11.249012

11.032919

13.022592

11.803361

10.451991

11.425156

10.489974

10.355967

10.397592

10.597829

10.452963

10.257074

10.384479

10.046977

hep-th/9801159

Nick Evans

Nick Evans (Boston University)

Quark Condensates in Non-Supersymmetric MQCD

16 pages, 1 ps figure, corrected some typos, updated references

Nucl.Phys. B532 (1998) 124-136

10.1016/S0550-3213(98)00455-6

BUHEP-98-03

hep-th

null

A set of non-supersymmetric minimal area embeddings of an M-theory 5-brane are considered. The field theories on the surface of the 5-brane have the field content of N=2 SQCD with fundamental representation matter fields. By suitable choice of curve parameters the N=2 and N=1 superpartners may be decoupled leaving a semi-classical approximation to QCD with massive quarks. As supersymmetry breaking is introduced a quark condensate grows breaking the low energy $Z_{F}$ flavour symmetry. At $\theta =$ (odd) $\pi$ spontaneous CP violation is observed consistent with that of the QCD chiral lagrangian.

[ { "created": "Fri, 23 Jan 1998 18:33:10 GMT", "version": "v1" }, { "created": "Sun, 14 Jun 1998 16:05:24 GMT", "version": "v2" } ]

2009-10-31

[ [ "Evans", "Nick", "", "Boston University" ] ]

A set of non-supersymmetric minimal area embeddings of an M-theory 5-brane are considered. The field theories on the surface of the 5-brane have the field content of N=2 SQCD with fundamental representation matter fields. By suitable choice of curve parameters the N=2 and N=1 superpartners may be decoupled leaving a semi-classical approximation to QCD with massive quarks. As supersymmetry breaking is introduced a quark condensate grows breaking the low energy $Z_{F}$ flavour symmetry. At $\theta =$ (odd) $\pi$ spontaneous CP violation is observed consistent with that of the QCD chiral lagrangian.

14.274741

13.59549

13.994508

13.286511

12.985713

13.92367

13.163849

14.418087

13.479555

14.905948

12.492147

12.894552

12.746071

12.93306

13.721952

13.362796

13.382915

12.939203

13.449695

12.565259

12.501098

0705.3440

Klaus Bering

K. Bering

Semidensities, Second-Class Constraints and Conversion in Anti-Poisson Geometry

32 pages, LaTeX. v2: Minor changes. v3: Published version

J.Math.Phys.49:043516,2008

10.1063/1.2890672

null

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

null

We consider Khudaverdian's geometric version of a Batalin-Vilkovisky (BV) operator \Delta_E in the case of a degenerate anti-Poisson manifold. The characteristic feature of such an operator (aside from being a Grassmann-odd, nilpotent, second-order differential operator) is that it sends semidensities to semidensities. We find a local formula for the \Delta_E operator in arbitrary coordinates. As an important application of this setup, we consider the Dirac antibracket on an antisymplectic manifold with antisymplectic second-class constraints. We show that the entire Dirac construction, including the corresponding Dirac BV operator \Delta_{E_D}, exactly follows from conversion of the antisymplectic second-class constraints into first-class constraints on an extended manifold.

[ { "created": "Wed, 23 May 2007 18:09:57 GMT", "version": "v1" }, { "created": "Sun, 30 Sep 2007 09:48:48 GMT", "version": "v2" }, { "created": "Fri, 25 Apr 2008 19:12:48 GMT", "version": "v3" } ]

2008-11-26

[ [ "Bering", "K.", "" ] ]

We consider Khudaverdian's geometric version of a Batalin-Vilkovisky (BV) operator \Delta_E in the case of a degenerate anti-Poisson manifold. The characteristic feature of such an operator (aside from being a Grassmann-odd, nilpotent, second-order differential operator) is that it sends semidensities to semidensities. We find a local formula for the \Delta_E operator in arbitrary coordinates. As an important application of this setup, we consider the Dirac antibracket on an antisymplectic manifold with antisymplectic second-class constraints. We show that the entire Dirac construction, including the corresponding Dirac BV operator \Delta_{E_D}, exactly follows from conversion of the antisymplectic second-class constraints into first-class constraints on an extended manifold.

8.722985

8.039279

10.464565

7.68287

8.444016

8.140632

8.158395

8.413925

7.64778

10.798891

8.058334

8.353833

8.611905

7.943402

8.182667

7.782438

8.175492

7.90573

7.947393

8.962605

7.885684

1109.3552

Derek Harland

Derek Harland and Christoph N\"olle

Instantons and Killing spinors

40 pages, 2 figures v2: author email addresses and affiliations added

JHEP03(2012)082

10.1007/JHEP03(2012)082

ITP-UH-08/11; DCPT-11/47

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

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

We investigate instantons on manifolds with Killing spinors and their cones. Examples of manifolds with Killing spinors include nearly Kaehler 6-manifolds, nearly parallel G_2-manifolds in dimension 7, Sasaki-Einstein manifolds, and 3-Sasakian manifolds. We construct a connection on the tangent bundle over these manifolds which solves the instanton equation, and also show that the instanton equation implies the Yang-Mills equation, despite the presence of torsion. We then construct instantons on the cones over these manifolds, and lift them to solutions of heterotic supergravity. Amongst our solutions are new instantons on even-dimensional Euclidean spaces, as well as the well-known BPST, quaternionic and octonionic instantons.

[ { "created": "Fri, 16 Sep 2011 08:57:56 GMT", "version": "v1" }, { "created": "Tue, 20 Sep 2011 15:21:48 GMT", "version": "v2" } ]

2015-03-19

[ [ "Harland", "Derek", "" ], [ "Nölle", "Christoph", "" ] ]

We investigate instantons on manifolds with Killing spinors and their cones. Examples of manifolds with Killing spinors include nearly Kaehler 6-manifolds, nearly parallel G_2-manifolds in dimension 7, Sasaki-Einstein manifolds, and 3-Sasakian manifolds. We construct a connection on the tangent bundle over these manifolds which solves the instanton equation, and also show that the instanton equation implies the Yang-Mills equation, despite the presence of torsion. We then construct instantons on the cones over these manifolds, and lift them to solutions of heterotic supergravity. Amongst our solutions are new instantons on even-dimensional Euclidean spaces, as well as the well-known BPST, quaternionic and octonionic instantons.

5.055245

5.664999

6.0272

5.024531

5.480489

5.780964

5.369212

5.051914

5.057318

6.318558

5.147735

5.055247

5.281332

5.146271

5.073053

5.095501

4.968633

4.951858

5.074766

5.57244

4.977327

2107.09674

James Bonifacio

Bootstrap Bounds on Closed Hyperbolic Manifolds

32 pages, 10 figures

null

10.1007/JHEP02(2022)025

null

hep-th math.DG math.SP

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

The eigenvalues of the Laplace-Beltrami operator and the integrals of products of eigenfunctions must satisfy certain consistency conditions on compact Riemannian manifolds. These consistency conditions are derived by using spectral decompositions to write quadruple overlap integrals in terms of products of triple overlap integrals in multiple ways. In this paper, we show how these consistency conditions imply bounds on the Laplacian eigenvalues and triple overlap integrals of closed hyperbolic manifolds, in analogy to the conformal bootstrap bounds on conformal field theories. We find an upper bound on the gap between two consecutive nonzero eigenvalues of the Laplace-Beltrami operator in terms of the smaller eigenvalue, an upper bound on the smallest eigenvalue of the rough Laplacian on symmetric, transverse-traceless, rank-2 tensors, and bounds on integrals of products of eigenfunctions and eigentensors. Our strongest bounds involve numerically solving semidefinite programs and are presented as exclusion plots. We also prove the analytic bound $\lambda_{i+1} \leq 1/2+3 \lambda_i+\sqrt{\lambda_i^2+2 \lambda_i+1/4}$ for consecutive nonzero eigenvalues of the Laplace-Beltrami operator on closed orientable hyperbolic surfaces. We give examples of genus-2 surfaces that nearly saturate some of these bounds. To derive the consistency conditions, we make use of a transverse-traceless decomposition for symmetric tensors of arbitrary rank.

[ { "created": "Tue, 20 Jul 2021 18:00:00 GMT", "version": "v1" } ]

2022-02-23

[ [ "Bonifacio", "James", "" ] ]

The eigenvalues of the Laplace-Beltrami operator and the integrals of products of eigenfunctions must satisfy certain consistency conditions on compact Riemannian manifolds. These consistency conditions are derived by using spectral decompositions to write quadruple overlap integrals in terms of products of triple overlap integrals in multiple ways. In this paper, we show how these consistency conditions imply bounds on the Laplacian eigenvalues and triple overlap integrals of closed hyperbolic manifolds, in analogy to the conformal bootstrap bounds on conformal field theories. We find an upper bound on the gap between two consecutive nonzero eigenvalues of the Laplace-Beltrami operator in terms of the smaller eigenvalue, an upper bound on the smallest eigenvalue of the rough Laplacian on symmetric, transverse-traceless, rank-2 tensors, and bounds on integrals of products of eigenfunctions and eigentensors. Our strongest bounds involve numerically solving semidefinite programs and are presented as exclusion plots. We also prove the analytic bound $\lambda_{i+1} \leq 1/2+3 \lambda_i+\sqrt{\lambda_i^2+2 \lambda_i+1/4}$ for consecutive nonzero eigenvalues of the Laplace-Beltrami operator on closed orientable hyperbolic surfaces. We give examples of genus-2 surfaces that nearly saturate some of these bounds. To derive the consistency conditions, we make use of a transverse-traceless decomposition for symmetric tensors of arbitrary rank.

5.384152

5.336504

6.235285

5.382851

5.636123

5.478837

5.710154

5.508921

5.331875

6.224277

5.20168

5.275715

5.37328

5.169001

5.208891

5.11586

5.237033

5.167273

5.198418

5.349922

5.178908

hep-th/9508118

Waichi Ogura

Yukinori Yasui (Osaka City U.) and Waichi Ogura (Osaka U.)

Vortex Filament in Three-manifold and the Duistermaat-Heckman Formula

Revised to include Figure2 (a PostScript file). 15 pages, LaTex2e, 2 figures

null

10.1016/0375-9601(95)00906-X

OU-HET 219

hep-th

null

Symplectic geometry of the vortex filament in a curved three-manifold is investigated. There appears an infinite sequence of constants of motion in involution in the case of constant curvature. The Duistermaat-Heckman formula is examined perturbatively for the classical partition function in our model and verified up to the 3-loop order.

[ { "created": "Thu, 24 Aug 1995 08:22:35 GMT", "version": "v1" }, { "created": "Mon, 4 Sep 1995 06:57:39 GMT", "version": "v2" }, { "created": "Tue, 19 Sep 1995 12:31:35 GMT", "version": "v3" } ]

2009-10-28

[ [ "Yasui", "Yukinori", "", "Osaka City U." ], [ "Ogura", "Waichi", "", "Osaka U." ] ]

Symplectic geometry of the vortex filament in a curved three-manifold is investigated. There appears an infinite sequence of constants of motion in involution in the case of constant curvature. The Duistermaat-Heckman formula is examined perturbatively for the classical partition function in our model and verified up to the 3-loop order.

12.199884

11.234383

13.352933

10.746345

10.429035

12.108004

10.925877

10.708409

11.494261

16.40799

10.589721

11.024271

12.031116

11.181602

11.642352

11.285023

11.773959

11.341237

11.617629

12.345482

11.116654

hep-th/9704006

Hossein Sarmadi

E. Gava, K.S. Narain and M.H. Sarmadi

On the Bound States of p- and (p+2)-Branes

34 pages, Latex

Nucl.Phys. B504 (1997) 214-238

10.1016/S0550-3213(97)00508-7

IC/97/24

hep-th

null

We study bound states of D-p-branes and D-(p+2)-branes. By switching on a large magnetic field F on the (p+2) brane, the problem is shown to admit a perturbative analysis in an expansion in inverse powers of F. It is found that, to the leading order in 1/F, the quartic potential of the tachyonic state from the open string stretched between the p- and (p+2)-brane gives a vacuum energy which agrees with the prediction of the BPS mass formula for the bound state. We generalize the discussion to the case of m p-branes plus 1 (p+2)-brane with magnetic field. The T dual picture of this, namely several (p+2)-branes carrying some p-brane charges through magnetic flux is also discussed, where the perturbative treatment is available in the small F limit. We show that once again, in the same approximation, the tachyon condensates give rise to the correct BPS mass formula. The role of 't Hooft's toron configurations in the extension of the above results beyond the quartic approximation as well as the issue of the unbroken gauge symmetries are discussed. We comment on the connection between the present bound state problem and Kondo-like problems in the context of relevant boundary perturbations of boundary conformal field theories.

[ { "created": "Tue, 1 Apr 1997 18:59:17 GMT", "version": "v1" } ]

2009-10-30

[ [ "Gava", "E.", "" ], [ "Narain", "K. S.", "" ], [ "Sarmadi", "M. H.", "" ] ]

We study bound states of D-p-branes and D-(p+2)-branes. By switching on a large magnetic field F on the (p+2) brane, the problem is shown to admit a perturbative analysis in an expansion in inverse powers of F. It is found that, to the leading order in 1/F, the quartic potential of the tachyonic state from the open string stretched between the p- and (p+2)-brane gives a vacuum energy which agrees with the prediction of the BPS mass formula for the bound state. We generalize the discussion to the case of m p-branes plus 1 (p+2)-brane with magnetic field. The T dual picture of this, namely several (p+2)-branes carrying some p-brane charges through magnetic flux is also discussed, where the perturbative treatment is available in the small F limit. We show that once again, in the same approximation, the tachyon condensates give rise to the correct BPS mass formula. The role of 't Hooft's toron configurations in the extension of the above results beyond the quartic approximation as well as the issue of the unbroken gauge symmetries are discussed. We comment on the connection between the present bound state problem and Kondo-like problems in the context of relevant boundary perturbations of boundary conformal field theories.

7.657797

8.148599

9.011853

7.755022

8.188819

8.071067

8.208324

7.854598

7.693118

10.02982

7.753755

7.541801

8.284646

7.723134

7.60574

7.578943

7.702662

7.676771

7.551635

8.166298

7.424824

2112.01196

Ian Jack

I. Jack and D.R.T. Jones

Scaling dimensions at large charge for cubic $\phi^3$ theory in six dimensions

14 pages, 2 figures, reference added, typos corrected

null

10.1103/PhysRevD.105.045021

LTH1284

hep-th

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

The $O(N)$ model with scalar quartic interactions at its ultraviolet fixed point, and the $O(N)$ model with scalar cubic interactions at its infra-red fixed point are conjectured to be equivalent. This has been checked by comparing various features of the two models at their respective fixed points. Recently, the scaling dimensions of a family of operators of fixed charge $Q$ have been shown to match at the FPs up to $\cal{O}\left(\frac{1}{N^2}\right)$at leading order (LO) and next-to-leading order (NLO) in $Q$ using a semiclassical computation which is valid to all orders in the coupling. Here we perform a complementary but overlapping comparison using a perturbative calculation in six dimensions, up to three-loop order in the coupling, to compare these critical scaling dimensions beyond NLO in $Q$, in fact to all relevant orders in $Q$. We also obtain the corresponding results at $\cal{O}\left(\frac{1}{N^3}\right)$ for the cubic theory.

[ { "created": "Thu, 2 Dec 2021 13:08:22 GMT", "version": "v1" }, { "created": "Wed, 22 Dec 2021 09:22:15 GMT", "version": "v2" }, { "created": "Sun, 6 Feb 2022 11:24:14 GMT", "version": "v3" }, { "created": "Tue, 28 Jun 2022 16:22:39 GMT", "version": "v4" } ]

2022-06-29

[ [ "Jack", "I.", "" ], [ "Jones", "D. R. T.", "" ] ]

The $O(N)$ model with scalar quartic interactions at its ultraviolet fixed point, and the $O(N)$ model with scalar cubic interactions at its infra-red fixed point are conjectured to be equivalent. This has been checked by comparing various features of the two models at their respective fixed points. Recently, the scaling dimensions of a family of operators of fixed charge $Q$ have been shown to match at the FPs up to $\cal{O}\left(\frac{1}{N^2}\right)$at leading order (LO) and next-to-leading order (NLO) in $Q$ using a semiclassical computation which is valid to all orders in the coupling. Here we perform a complementary but overlapping comparison using a perturbative calculation in six dimensions, up to three-loop order in the coupling, to compare these critical scaling dimensions beyond NLO in $Q$, in fact to all relevant orders in $Q$. We also obtain the corresponding results at $\cal{O}\left(\frac{1}{N^3}\right)$ for the cubic theory.

7.038767

6.54936

7.496783

6.513779

6.877381

6.882556

6.704854

6.684648

6.891057

7.241679

6.638271

6.583612

7.062672

6.87314

6.787032

6.630344

6.79111

6.784137

6.752426

6.858915

6.853003

2110.01956

Matheus Ara\'ujo Marques

D. Bazeia, M.A. Liao and M.A. Marques

Impurity-like solutions in vortex systems coupled to a neutral field

6 pages, 5 figures

Phys. Lett. B 825 (2022) 136862

10.1016/j.physletb.2021.136862

null

hep-th

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

In this work, a Maxwell-Higgs system is coupled to a neutral scalar field that engenders $Z_2$ symmetry. At critical coupling, the resulting field equations may be identified with those of a Maxwell-Higgs model doped with an impurity whose form changes according to properties of the neutral scalar field, such as the topological sector and position of its zeros. This allows for an interpretation of parameters appearing in impurity models in terms of properties of the kink-like defect, and provides a convenient way to understand and generate impurities. By solving the first order equations, we found vortices with a novel internal structure in relation to standard solutions. The procedure was also adapted to generate impurities for Chern-Simons-Higgs theory.

[ { "created": "Tue, 5 Oct 2021 11:36:39 GMT", "version": "v1" } ]

2022-01-06

[ [ "Bazeia", "D.", "" ], [ "Liao", "M. A.", "" ], [ "Marques", "M. A.", "" ] ]

In this work, a Maxwell-Higgs system is coupled to a neutral scalar field that engenders $Z_2$ symmetry. At critical coupling, the resulting field equations may be identified with those of a Maxwell-Higgs model doped with an impurity whose form changes according to properties of the neutral scalar field, such as the topological sector and position of its zeros. This allows for an interpretation of parameters appearing in impurity models in terms of properties of the kink-like defect, and provides a convenient way to understand and generate impurities. By solving the first order equations, we found vortices with a novel internal structure in relation to standard solutions. The procedure was also adapted to generate impurities for Chern-Simons-Higgs theory.

14.067961

10.864613

13.32535

11.805798

11.7472

11.060713

11.606635

11.125044

11.258985

14.159197

11.530607

11.634624

13.566992

12.341547

12.008447

12.323501

11.915658

12.249698

12.4045

12.671898

12.629298

1309.1476

Alexandros Kehagias

Fotis Farakos, Sergio Ferrara, Alex Kehagias, Massimo Porrati

Supersymmetry Breaking by Higher Dimension Operators

28 pages

null

10.1016/j.nuclphysb.2013.12.016

null

hep-th hep-ph

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

We discuss a supersymmetry breaking mechanism for N = 1 theories triggered by higher dimensional op- erators. We consider such operators for real linear and chiral spinor superfields that break superymmetry and reduce to the Volkov-Akulov action. We also consider supersymmetry breaking induced by a higher dimensional operator of a nonminimal scalar (complex linear) multiplet. The latter differs from the stan- dard chiral multiplet in its auxiliary sector, which contains, in addition to the complex scalar auxiliary of a chiral superfield, a complex vector and two spinors auxiliaries. By adding an appropriate higher di- mension operator, the scalar auxiliary may acquire a nonzero vev triggering spontaneous supersymmetry breaking. We find that the spectrum of the theory in the supersymmetry breaking vacuum consists of a free chiral multiplet and a constraint chiral superfield describing the goldstino. Interestingly, the latter turns out to be one of the auxiliary fermions, which becomes dynamical in the supersymmetry breaking vacuum. In all cases we are considering here, there is no sgoldstino mode and thus the goldstino does not have a superpartner. The sgoldstino is decoupled since the goldstino is one of the auxiliaries, which is propagating only in the supersymmetry breaking vacuum. We also point out how higher dimension operators introduce a potential for the propagating scalar of the theory.

[ { "created": "Thu, 5 Sep 2013 20:03:46 GMT", "version": "v1" } ]

2015-06-17

[ [ "Farakos", "Fotis", "" ], [ "Ferrara", "Sergio", "" ], [ "Kehagias", "Alex", "" ], [ "Porrati", "Massimo", "" ] ]

We discuss a supersymmetry breaking mechanism for N = 1 theories triggered by higher dimensional op- erators. We consider such operators for real linear and chiral spinor superfields that break superymmetry and reduce to the Volkov-Akulov action. We also consider supersymmetry breaking induced by a higher dimensional operator of a nonminimal scalar (complex linear) multiplet. The latter differs from the stan- dard chiral multiplet in its auxiliary sector, which contains, in addition to the complex scalar auxiliary of a chiral superfield, a complex vector and two spinors auxiliaries. By adding an appropriate higher di- mension operator, the scalar auxiliary may acquire a nonzero vev triggering spontaneous supersymmetry breaking. We find that the spectrum of the theory in the supersymmetry breaking vacuum consists of a free chiral multiplet and a constraint chiral superfield describing the goldstino. Interestingly, the latter turns out to be one of the auxiliary fermions, which becomes dynamical in the supersymmetry breaking vacuum. In all cases we are considering here, there is no sgoldstino mode and thus the goldstino does not have a superpartner. The sgoldstino is decoupled since the goldstino is one of the auxiliaries, which is propagating only in the supersymmetry breaking vacuum. We also point out how higher dimension operators introduce a potential for the propagating scalar of the theory.

7.58871

8.619627

8.337986

7.67021

7.530704

7.806948

7.962383

8.030501

7.839569

8.916072

7.47067

7.656483

7.491997

7.499784

7.592985

7.71768

7.680049

7.612512

7.684869

7.91913

7.498384

hep-th/9306155

Vadim Kuznetsov

J. C. Eilbeck, V. Z. Enol'skii, Vadim B. Kuznetsov and A. V. Tsiganov

Linear $r$-matrix algebra for classical separable systems

15 pages

J.Phys. A27 (1994) 567-578

10.1088/0305-4470/27/2/038

University of Amsterdam Math 93-11

hep-th nlin.SI solv-int

null

We consider a hierarchy of the natural type Hamiltonian systems of $n$ degrees of freedom with polynomial potentials separable in general ellipsoidal and general paraboloidal coordinates. We give a Lax representation in terms of $2\times 2$ matrices for the whole hierarchy and construct the associated linear $r$-matrix algebra with the $r$-matrix dependent on the dynamical variables. A Yang-Baxter equation of dynamical type is proposed. Using the method of variable separation we provide the integration of the systems in classical mechanics conctructing the separation equations and, hence, the explicit form of action variables. The quantisation problem is discussed with the help of the separation variables.

[ { "created": "Tue, 29 Jun 1993 09:05:56 GMT", "version": "v1" } ]

2009-10-22

[ [ "Eilbeck", "J. C.", "" ], [ "Enol'skii", "V. Z.", "" ], [ "Kuznetsov", "Vadim B.", "" ], [ "Tsiganov", "A. V.", "" ] ]

We consider a hierarchy of the natural type Hamiltonian systems of $n$ degrees of freedom with polynomial potentials separable in general ellipsoidal and general paraboloidal coordinates. We give a Lax representation in terms of $2\times 2$ matrices for the whole hierarchy and construct the associated linear $r$-matrix algebra with the $r$-matrix dependent on the dynamical variables. A Yang-Baxter equation of dynamical type is proposed. Using the method of variable separation we provide the integration of the systems in classical mechanics conctructing the separation equations and, hence, the explicit form of action variables. The quantisation problem is discussed with the help of the separation variables.

12.082624

11.889502

14.130765

11.124943

11.74048

11.10373

11.283133

10.914005

12.539252

14.462266

11.785926

11.046398

12.587381

11.335193

11.423962

11.118639

12.073519

11.340342

11.856439

11.866147

11.241863

1509.09056

Pietro Antonio Grassi

P. Fr\'e, P.A. Grassi, and A.S. Sorin

Hyperinstantons, the Beltrami Equation, and Triholomorphic Maps

45 pages, Latex2e, 4 figures

null

10.1002/prop.201500061

null

hep-th

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

We consider the Beltrami equation for hydrodynamics and we show that its solutions can be viewed as instanton solutions of a more general system of equations. The latter are the equations of motion for an ${\cal N}=2$ sigma model on 4-dimensional worldvolume (which is taken locally HyperK\"ahler) with a 4-dimensional HyperK\"ahler target space. By means of the 4D twisting procedure originally introduced by Witten for gauge theories and later generalized to 4D sigma-models by Anselmi and Fr\'e, we show that the equations of motion describe triholomophic maps between the worldvolume and the target space. Therefore, the classification of the solutions to the 3-dimensional Beltrami equation can be performed by counting the triholomorphic maps. The counting is easily obtained by using several discrete symmetries. Finally, the similarity with holomorphic maps for ${\cal N}=2$ sigma on Calabi-Yau space prompts us to reformulate the problem of the enumeration of triholomorphic maps in terms of a topological sigma model.

[ { "created": "Wed, 30 Sep 2015 08:12:38 GMT", "version": "v1" } ]

2016-12-21

[ [ "Fré", "P.", "" ], [ "Grassi", "P. A.", "" ], [ "Sorin", "A. S.", "" ] ]

We consider the Beltrami equation for hydrodynamics and we show that its solutions can be viewed as instanton solutions of a more general system of equations. The latter are the equations of motion for an ${\cal N}=2$ sigma model on 4-dimensional worldvolume (which is taken locally HyperK\"ahler) with a 4-dimensional HyperK\"ahler target space. By means of the 4D twisting procedure originally introduced by Witten for gauge theories and later generalized to 4D sigma-models by Anselmi and Fr\'e, we show that the equations of motion describe triholomophic maps between the worldvolume and the target space. Therefore, the classification of the solutions to the 3-dimensional Beltrami equation can be performed by counting the triholomorphic maps. The counting is easily obtained by using several discrete symmetries. Finally, the similarity with holomorphic maps for ${\cal N}=2$ sigma on Calabi-Yau space prompts us to reformulate the problem of the enumeration of triholomorphic maps in terms of a topological sigma model.

8.590343

9.208212

9.216768

8.919669

8.82803

8.641354

9.321494

8.695807

8.587875

9.559878

8.621861

8.359061

8.710001

8.289876

8.214173

8.63444

8.377069

8.349747

8.316758

8.358628

8.086143

1002.3159

Kristan Jensen

Kristan Jensen, Andreas Karch, Dam T. Son, and Ethan G. Thompson

Holographic Berezinskii-Kosterlitz-Thouless Transitions

4 pages, 1 figure

Phys.Rev.Lett.105:041601,2010

10.1103/PhysRevLett.105.041601

INT-PUB-10-011

hep-th cond-mat.str-el

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

We find the first example of a quantum Berenzinskii-Kosterlitz-Thouless (BKT) phase transition in two spatial dimensions via holography. This transition occurs in the D3/D5 system at nonzero density and magnetic field. At any nonzero temperature, the BKT scaling is destroyed and the transition becomes second order with mean-field exponents. We go on to conjecture about the generality of quantum BKT transitions in two spatial dimensions.

[ { "created": "Wed, 17 Feb 2010 19:02:58 GMT", "version": "v1" } ]

2014-11-20

[ [ "Jensen", "Kristan", "" ], [ "Karch", "Andreas", "" ], [ "Son", "Dam T.", "" ], [ "Thompson", "Ethan G.", "" ] ]

We find the first example of a quantum Berenzinskii-Kosterlitz-Thouless (BKT) phase transition in two spatial dimensions via holography. This transition occurs in the D3/D5 system at nonzero density and magnetic field. At any nonzero temperature, the BKT scaling is destroyed and the transition becomes second order with mean-field exponents. We go on to conjecture about the generality of quantum BKT transitions in two spatial dimensions.

8.321596

5.676414

9.144106

7.043653

7.090935

6.330199

6.796415

6.204198

6.448309

8.016965

6.338679

7.065461

8.391633

7.213803

7.300641

7.117218

7.119067

6.68933

7.141286

8.259018

7.148665

1511.03008

Jian-Pin Wu

Xiao-Mei Kuang and Jian-Pin Wu

Transport coefficients from hyperscaling violating black brane: shear viscosity and conductivity

16 pages, 4 figures, references added

Phys.Lett. B773 (2017) 422-427

10.1016/j.physletb.2017.08.060

null

hep-th gr-qc

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

We investigate two transport coefficients, shear viscosity and conductivity, in a non-relativistic boundary filed theory without hyperscaling symmetry, which is dual to a bulk charged hyperscaling violating black brane. Employing matching method, we obtain that the ratio of shear viscosity and the entropy density is alway $1/4\pi$ at any temperature, which satisfies the Kovtun-Starinets-Son (KSS) bound. Besides, we also present the universal formulas of AC conductivity, which is closely dependent on the relation between geometrical parameters $z$ and $\theta$. The optical conductivity at high frequency limit behaves with a (non)-power law scaling or approaches to be constant, depending on the choice of $z$ and $\theta$. This feature is different from the observes in Lifshitz black brane that the optical conductivity always complies with a (non)-power law scaling in high frequency limit when the Lifshitz exponent $z>1$. We also argue that the temperate has no print on the exponent of (non)-power law scaling in large frequency while it will affect the strength of conductivity at low frequency.

[ { "created": "Tue, 10 Nov 2015 07:50:39 GMT", "version": "v1" }, { "created": "Mon, 16 Nov 2015 16:40:46 GMT", "version": "v2" } ]

2017-09-13

[ [ "Kuang", "Xiao-Mei", "" ], [ "Wu", "Jian-Pin", "" ] ]

We investigate two transport coefficients, shear viscosity and conductivity, in a non-relativistic boundary filed theory without hyperscaling symmetry, which is dual to a bulk charged hyperscaling violating black brane. Employing matching method, we obtain that the ratio of shear viscosity and the entropy density is alway $1/4\pi$ at any temperature, which satisfies the Kovtun-Starinets-Son (KSS) bound. Besides, we also present the universal formulas of AC conductivity, which is closely dependent on the relation between geometrical parameters $z$ and $\theta$. The optical conductivity at high frequency limit behaves with a (non)-power law scaling or approaches to be constant, depending on the choice of $z$ and $\theta$. This feature is different from the observes in Lifshitz black brane that the optical conductivity always complies with a (non)-power law scaling in high frequency limit when the Lifshitz exponent $z>1$. We also argue that the temperate has no print on the exponent of (non)-power law scaling in large frequency while it will affect the strength of conductivity at low frequency.

9.396743

8.524295

11.184947

8.477715

8.640398

8.65299

8.973062

8.814916

8.723561

11.165295

8.537525

8.94456

9.558994

8.883351

8.814369

8.868038

9.116921

9.021916

8.893538

9.692658

8.747868

1407.1256

Seiya Nishiyama

Seiya Nishiyama and Joao da Providencia

SO(2N)/U(N) Riccati-Hartree-Bogoliubov Equation Based on the SO(2N) Lie Algebra of the Fermion Operators

Published version, 19 pages. arXiv admin note: text overlap with arXiv:0712.4208

International Journal of Geometric Methods in Modern Physics Vol.12 (2015) 1550035 (26 pages)

10.1142/S0219887815500358

null

hep-th

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

In this paper we present the induced representation of SO(2N) canonical transformation group and introduce SO(2N)/U(N) coset variables. We give a derivation of the time dependent Hartree-Bogoliubov (TDHB) equation on the Kaehler coset space G/H=SO(2N)/U(N) from the Euler-Lagrange equation of motion for the coset variables. The TDHB wave function represents the TD behavior of Bose condensate of fermion pairs. It is a good approximation for the ground state of the fermion system with a pairing interaction, producing the spontaneous Bose condensation. To describe the classical motion on the coset manifold, we start from the local equation of motion. This equation becomes a Riccati-type equation. After giving a simple two-level model and a solution for a coset variable, we can get successfully a general solution of TDRHB equation for the coset variables. We obtain the Harish-Chandra decomposition for the SO(2N) matrix based on the nonlinear Moebius transformation together with the geodesic flow on the manifold.

[ { "created": "Fri, 4 Jul 2014 14:58:35 GMT", "version": "v1" }, { "created": "Mon, 7 Jul 2014 09:33:29 GMT", "version": "v2" }, { "created": "Mon, 9 Feb 2015 05:15:42 GMT", "version": "v3" } ]

2015-02-10

[ [ "Nishiyama", "Seiya", "" ], [ "da Providencia", "Joao", "" ] ]

In this paper we present the induced representation of SO(2N) canonical transformation group and introduce SO(2N)/U(N) coset variables. We give a derivation of the time dependent Hartree-Bogoliubov (TDHB) equation on the Kaehler coset space G/H=SO(2N)/U(N) from the Euler-Lagrange equation of motion for the coset variables. The TDHB wave function represents the TD behavior of Bose condensate of fermion pairs. It is a good approximation for the ground state of the fermion system with a pairing interaction, producing the spontaneous Bose condensation. To describe the classical motion on the coset manifold, we start from the local equation of motion. This equation becomes a Riccati-type equation. After giving a simple two-level model and a solution for a coset variable, we can get successfully a general solution of TDRHB equation for the coset variables. We obtain the Harish-Chandra decomposition for the SO(2N) matrix based on the nonlinear Moebius transformation together with the geodesic flow on the manifold.

10.54579

11.891824

11.985975

11.32337

11.412623

10.910797

11.715796

11.409617

10.617264

13.762589

11.09613

10.501806

11.076178

10.59144

10.08326

10.530107

10.217749

10.51686

10.347891

11.736282

10.680113

hep-th/9509026

Leon Takhtajan

Leon A. Takhtajan

Equivalence of Geometric h<1/2 and Standard c>25 Approaches to Two-Dimensional Quantum Gravity

10 pages, latex

Mod.Phys.Lett. A11 (1996) 93-101

10.1142/S0217732396000126

null

hep-th

null

We show equivalence between the standard weak coupling regime c>25 of the two-dimensional quantum gravity and regime h<1/2 of the original geometric approach of Polyakov [1,2], developed in [3,4,5].

[ { "created": "Wed, 6 Sep 1995 22:35:49 GMT", "version": "v1" } ]

2015-06-26

[ [ "Takhtajan", "Leon A.", "" ] ]

We show equivalence between the standard weak coupling regime c>25 of the two-dimensional quantum gravity and regime h<1/2 of the original geometric approach of Polyakov [1,2], developed in [3,4,5].

22.081259

17.095055

25.426342

17.223244

16.199436

17.618687

19.501896

20.763186

19.151224

22.528242

16.279541

17.078531

20.343231

17.871058

17.177958

17.150858

18.062965

18.211189

16.986261

21.240772

16.222042

hep-th/0311057

M. A. Gonzalez Leon

A. Alonso Izquierdo, M.A. Gonzalez Leon, W. Garcia Fuertes, M. de la Torre Mayado and J. Mateos Guilarte

Degenerate BPS Domain Walls: Classical and Quantum Dynamics

12 pages, 7 figures. To be published in the Proceedings of: Symmetries And Gravity In Field Theory, Workshop in honour of Prof. J. A. de Azcarraga. June 9-11, 2003. Salamanca (Spain). References added and minor corrections

null

hep-th

null

We discuss classical and quantum aspects of the dynamics of a family of domain walls arising in a generalized Wess-Zumino model. These domain walls can be embedded in ${\cal N}=1$ supergravity as exact solutions and are composed of two basic lumps.

[ { "created": "Fri, 7 Nov 2003 11:58:09 GMT", "version": "v1" }, { "created": "Wed, 17 Dec 2003 10:43:41 GMT", "version": "v2" } ]

2007-05-23

[ [ "Izquierdo", "A. Alonso", "" ], [ "Leon", "M. A. Gonzalez", "" ], [ "Fuertes", "W. Garcia", "" ], [ "Mayado", "M. de la Torre", "" ], [ "Guilarte", "J. Mateos", "" ] ]

We discuss classical and quantum aspects of the dynamics of a family of domain walls arising in a generalized Wess-Zumino model. These domain walls can be embedded in ${\cal N}=1$ supergravity as exact solutions and are composed of two basic lumps.

10.619411

7.00022

8.454206

7.665762

7.976631

8.458799

7.28631

7.144609

6.913627

8.738843

7.305244

8.114732

9.201012

8.212132

8.200438

8.091552

8.092489

8.2923

8.29905

8.812848

7.944777

1003.2840

Joohan Lee

Joohan Lee, Tae Hoon Lee, and Phillial Oh

Coupling of Brans-Dicke scalar field with Horava-Lifshitz gravity

7pages, LATEX

null

10.1016/j.physletb.2011.06.022

null

hep-th gr-qc

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

We look for a Brans-Dicke type of generalization of the Horava-Lifshitz gravity. It is shown that such a generalization is possible within the detailed balance condition. Classically, the resulting theory reduces in the IR limit to the usual Brans-Dicke theory with a negative cosmological constant for certain values of parameters. We then consider homogeneous and isotropic cosmology and study the effects of the new terms appearing in the model.

[ { "created": "Mon, 15 Mar 2010 02:37:26 GMT", "version": "v1" }, { "created": "Mon, 27 Dec 2010 16:19:02 GMT", "version": "v2" } ]

2015-05-18

[ [ "Lee", "Joohan", "" ], [ "Lee", "Tae Hoon", "" ], [ "Oh", "Phillial", "" ] ]

We look for a Brans-Dicke type of generalization of the Horava-Lifshitz gravity. It is shown that such a generalization is possible within the detailed balance condition. Classically, the resulting theory reduces in the IR limit to the usual Brans-Dicke theory with a negative cosmological constant for certain values of parameters. We then consider homogeneous and isotropic cosmology and study the effects of the new terms appearing in the model.

7.176768

5.848279

5.791042

5.544276

5.727079

6.18189

5.795437

5.675329

5.592834

5.964868

6.194827

5.75822

6.148396

5.832691

5.927587

5.946945

6.114329

5.862048

5.885385

5.947074

5.881014

0912.4326

M. P. Garcia del Moral

M.P. Garcia del Moral and A. Restuccia

Non-abelian D=11 Supermembrane

Contribution to the Proceedings of the Dubna International SQS'09 Workshop ("Supersymmetries and Quantum Symmetries-2009", July 29 - August 3, 2009. 12pg, Latex

Phys.Part.Nucl.Lett.8:202-208,2011

10.1134/S1547477111030071

FFUOV-09/10

hep-th

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

We obtain a U(M) action for supermembranes with central charges in the Light Cone Gauge (LCG). The theory realizes all of the symmetries and constraints of the supermembrane together with the invariance under a U(M) gauge group with M arbitrary. The worldvolume action has (LCG) N=8 supersymmetry and it corresponds to M parallel supermembranes minimally immersed on the target M9xT2 (MIM2). In order to ensure the invariance under the symmetries and to close the corresponding algebra, a star-product determined by the central charge condition is introduced. It is constructed with a nonconstant symplectic two-form where curvature terms are also present. The theory is in the strongly coupled gauge-gravity regime. At low energies, the theory enters in a decoupling limit and it is described by an ordinary N=8 SYM in the IR phase for any number of M2-branes.

[ { "created": "Tue, 22 Dec 2009 06:14:59 GMT", "version": "v1" } ]

2011-08-17

[ [ "del Moral", "M. P. Garcia", "" ], [ "Restuccia", "A.", "" ] ]

We obtain a U(M) action for supermembranes with central charges in the Light Cone Gauge (LCG). The theory realizes all of the symmetries and constraints of the supermembrane together with the invariance under a U(M) gauge group with M arbitrary. The worldvolume action has (LCG) N=8 supersymmetry and it corresponds to M parallel supermembranes minimally immersed on the target M9xT2 (MIM2). In order to ensure the invariance under the symmetries and to close the corresponding algebra, a star-product determined by the central charge condition is introduced. It is constructed with a nonconstant symplectic two-form where curvature terms are also present. The theory is in the strongly coupled gauge-gravity regime. At low energies, the theory enters in a decoupling limit and it is described by an ordinary N=8 SYM in the IR phase for any number of M2-branes.

12.96141

8.132791

15.587525

10.832526

13.878751

7.888573

8.528411

9.536654

10.2269

18.03401

11.228676

11.81373

13.953496

12.389573

12.803892

12.118637

11.953239

11.81549

12.429003

14.51244

11.99118

0902.1365

Carl Bender

Carl M. Bender and Philip D. Mannheim

PT symmetry and necessary and sufficient conditions for the reality of energy eigenvalues

11 pages, no figures

Phys.Lett.A374:1616-1620,2010

10.1016/j.physleta.2010.02.032

null

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

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

Despite its common use in quantum theory, the mathematical requirement of Dirac Hermiticity of a Hamiltonian is sufficient to guarantee the reality of energy eigenvalues but not necessary. By establishing three theorems, this paper gives physical conditions that are both necessary and sufficient. First, it is shown that if the secular equation is real, the Hamiltonian is necessarily PT symmetric. Second, if a linear operator C that obeys the two equations [C,H]=0 and C^2=1 is introduced, then the energy eigenvalues of a PT-symmetric Hamiltonian that is diagonalizable are real only if this C operator commutes with PT. Third, the energy eigenvalues of PT-symmetric Hamiltonians having a nondiagonalizable, Jordan-block form are real. These theorems hold for matrix Hamiltonians of any dimensionality.

[ { "created": "Mon, 9 Feb 2009 05:01:18 GMT", "version": "v1" } ]

2014-11-18

[ [ "Bender", "Carl M.", "" ], [ "Mannheim", "Philip D.", "" ] ]

Despite its common use in quantum theory, the mathematical requirement of Dirac Hermiticity of a Hamiltonian is sufficient to guarantee the reality of energy eigenvalues but not necessary. By establishing three theorems, this paper gives physical conditions that are both necessary and sufficient. First, it is shown that if the secular equation is real, the Hamiltonian is necessarily PT symmetric. Second, if a linear operator C that obeys the two equations [C,H]=0 and C^2=1 is introduced, then the energy eigenvalues of a PT-symmetric Hamiltonian that is diagonalizable are real only if this C operator commutes with PT. Third, the energy eigenvalues of PT-symmetric Hamiltonians having a nondiagonalizable, Jordan-block form are real. These theorems hold for matrix Hamiltonians of any dimensionality.

7.276575

7.128055

8.302527

6.820251

7.444153

7.761755

7.826148

7.019768

6.653165

7.814576

7.133237

6.93497

7.306881

6.931996

7.094813

6.963982

6.817564

6.968565

7.101498

7.389492

7.359305

hep-th/0310223

Raphael Bousso

Harmonic resolution as a holographic quantum number

19 pages

JHEP 0403 (2004) 054

10.1088/1126-6708/2004/03/054

null

hep-th

null

The Bekenstein bound takes the holographic principle into the realm of flat space, promising new insights on the relation of non-gravitational physics to quantum gravity. This makes it important to obtain a precise formulation of the bound. Conventionally, one specifies two macroscopic quantities, mass and spatial width, which cannot be simultaneously diagonalized. Thus, the counting of compatible states is not sharply defined. The resolution of this and other formal difficulties leads naturally to a definition in terms of discretized light-cone quantization. In this form, the area difference specified in the covariant bound converts to a single quantum number, the harmonic resolution K. The Bekenstein bound then states that the Fock space sector with K units of longitudinal momentum contains no more than exp(2 pi^2 K) independent discrete states. This conjecture can be tested unambiguously for a given Lagrangian, and it appears to hold true for realistic field theories, including models arising from string compactifications. For large K, it makes contact with more conventional but less well-defined formulations.

[ { "created": "Thu, 23 Oct 2003 19:48:38 GMT", "version": "v1" }, { "created": "Sat, 31 Jan 2004 00:01:31 GMT", "version": "v2" } ]

2009-11-10

[ [ "Bousso", "Raphael", "" ] ]

The Bekenstein bound takes the holographic principle into the realm of flat space, promising new insights on the relation of non-gravitational physics to quantum gravity. This makes it important to obtain a precise formulation of the bound. Conventionally, one specifies two macroscopic quantities, mass and spatial width, which cannot be simultaneously diagonalized. Thus, the counting of compatible states is not sharply defined. The resolution of this and other formal difficulties leads naturally to a definition in terms of discretized light-cone quantization. In this form, the area difference specified in the covariant bound converts to a single quantum number, the harmonic resolution K. The Bekenstein bound then states that the Fock space sector with K units of longitudinal momentum contains no more than exp(2 pi^2 K) independent discrete states. This conjecture can be tested unambiguously for a given Lagrangian, and it appears to hold true for realistic field theories, including models arising from string compactifications. For large K, it makes contact with more conventional but less well-defined formulations.

13.453437

12.815021

14.524087

12.811438

14.184366

14.402283

14.155313

13.658366

13.247675

15.376887

13.293447

13.206955

13.571266

13.495412

13.314686

13.314567

12.881828

12.527063

12.840528

13.716993

13.16095

hep-th/0103260

Bonneau Guy

G. Bonneau and P.Y. Casteill

Dualised sigma-models at the two-loop order

11 pages, latex file,some references added

Nucl.Phys. B607 (2001) 293-304

10.1016/S0550-3213(01)00216-4

PAR/LPTHE/01-14

hep-th

null

We adress ourselves the question of the quantum equivalence of non abelian dualised $\si$-models on the simple example of the T-dualised $SU(2) \si$-model. This theory is classically canonically equivalent to the standard chiral $SU(2) \si$-model. It is known that the equivalence also holds at the first order in perturbations with the same $\be$ functions. However, this model has been claimed to be non-renormalisable at the two-loop order. The aim of the present work is the proof that it is - at least up to this order - still possible to define a correct quantum theory. Its target space metric being only modified in a finite manner, all divergences are reabsorbed into coupling and fields (infinite) renormalisations.

[ { "created": "Fri, 30 Mar 2001 10:19:24 GMT", "version": "v1" }, { "created": "Tue, 10 Apr 2001 14:32:14 GMT", "version": "v2" } ]

2009-11-07

[ [ "Bonneau", "G.", "" ], [ "Casteill", "P. Y.", "" ] ]

We adress ourselves the question of the quantum equivalence of non abelian dualised $\si$-models on the simple example of the T-dualised $SU(2) \si$-model. This theory is classically canonically equivalent to the standard chiral $SU(2) \si$-model. It is known that the equivalence also holds at the first order in perturbations with the same $\be$ functions. However, this model has been claimed to be non-renormalisable at the two-loop order. The aim of the present work is the proof that it is - at least up to this order - still possible to define a correct quantum theory. Its target space metric being only modified in a finite manner, all divergences are reabsorbed into coupling and fields (infinite) renormalisations.

12.925516

10.938475

13.510137

12.103308

11.470101

11.50799

10.472392

11.795683

11.180237

14.361982

10.916623

11.119726

12.59905

12.264815

11.670595

11.857183

12.03406

12.032414

12.422672

12.934864

11.78235

hep-th/0010103

C. Hofman

Christiaan Hofman and Jae-Suk Park

Cohomological Yang-Mills Theories on Kahler 3-Folds

32 pages, LaTeX

Nucl.Phys.B600:133-162,2001

10.1016/S0550-3213(01)00024-4

SPIN-1999/26, ITFA-99-30, RUNHETC-2000-37, CU-TP-957

hep-th

null

We study topological gauge theories with N=(2,0) supersymmetry based on stable bundles on general Kahler 3-folds. In order to have a theory that is well defined and well behaved, we consider a model based on an extension of the usual holomorphic bundle by including a holomorphic 3-form. The correlation functions of the model describe complex 3-dimensional generalizations of Donaldson-Witten type invariants. We show that the path integral can be written as a sum of contributions from stable bundles and a complex 3-dimensional version of Seiberg-Witten monopoles. We study certain deformations of the theory, which allow us to consider the situation of reducible connections. We shortly discuss situations of reduced holonomy. Afterdimensional reduction to a Kahler 2-fold, the theory reduces to Vafa-Wittentheory. On a Calabi-Yau 3-fold, the supersymmetry is enhanced to N=(2,2). This model may be used to describe classical limits of certain compactifications of(matrix) string theory.

[ { "created": "Thu, 12 Oct 2000 18:23:58 GMT", "version": "v1" } ]

2011-07-19

[ [ "Hofman", "Christiaan", "" ], [ "Park", "Jae-Suk", "" ] ]

We study topological gauge theories with N=(2,0) supersymmetry based on stable bundles on general Kahler 3-folds. In order to have a theory that is well defined and well behaved, we consider a model based on an extension of the usual holomorphic bundle by including a holomorphic 3-form. The correlation functions of the model describe complex 3-dimensional generalizations of Donaldson-Witten type invariants. We show that the path integral can be written as a sum of contributions from stable bundles and a complex 3-dimensional version of Seiberg-Witten monopoles. We study certain deformations of the theory, which allow us to consider the situation of reducible connections. We shortly discuss situations of reduced holonomy. Afterdimensional reduction to a Kahler 2-fold, the theory reduces to Vafa-Wittentheory. On a Calabi-Yau 3-fold, the supersymmetry is enhanced to N=(2,2). This model may be used to describe classical limits of certain compactifications of(matrix) string theory.

7.929878

9.032945

8.964381

7.864015

8.19963

8.833443

8.622588

8.448105

7.637482

9.452006

8.51393

7.994256

8.584007

7.843824

7.775942

8.127318

7.830227

7.976831

7.801063

7.954925

7.812634

2212.00468

Michael Ponds

Sergei M. Kuzenko, James La Fontaine and Michael Ponds

Induced action for superconformal higher-spin multiplets using SCFT techniques

12 pages; V2: Comments and Appendix A added; V3: Published Version

null

10.1016/j.physletb.2023.137818

null

hep-th

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

Recently, the interacting $\mathcal{N}=1$ superconformal higher-spin theory in four dimensions has been proposed within the induced action approach. In this paper we initiate a program of computing perturbative corrections to the corresponding action and explicitly evaluate all quadratic terms. This is achieved by employing standard techniques from superconformal field theory.

[ { "created": "Thu, 1 Dec 2022 12:46:47 GMT", "version": "v1" }, { "created": "Thu, 8 Dec 2022 09:36:55 GMT", "version": "v2" }, { "created": "Tue, 14 Mar 2023 01:34:44 GMT", "version": "v3" } ]

2023-04-05

[ [ "Kuzenko", "Sergei M.", "" ], [ "La Fontaine", "James", "" ], [ "Ponds", "Michael", "" ] ]

Recently, the interacting $\mathcal{N}=1$ superconformal higher-spin theory in four dimensions has been proposed within the induced action approach. In this paper we initiate a program of computing perturbative corrections to the corresponding action and explicitly evaluate all quadratic terms. This is achieved by employing standard techniques from superconformal field theory.

10.101521

7.571395

10.749242

8.065099

8.904941

8.090386

8.329711

7.926262

8.066935

11.796127

8.574423

8.422865

9.557638

8.540921

8.477066

8.224628

8.333163

8.44381

8.757904

9.221092

8.513948

0706.0355

Douglas Lundholm

Volker Bach, Jens Hoppe, Douglas Lundholm

Dynamical Symmetries in Supersymmetric Matrix Models

null

Doc. Math. 13 (2008), 103-116

null

hep-th

null

We reveal a dynamical SU(2) symmetry in the asymptotic description of supersymmetric matrix models. We also consider a recursive approach for determining the ground state, and point out some additional properties of the model(s).

[ { "created": "Sun, 3 Jun 2007 22:35:53 GMT", "version": "v1" } ]

2008-11-12

[ [ "Bach", "Volker", "" ], [ "Hoppe", "Jens", "" ], [ "Lundholm", "Douglas", "" ] ]

We reveal a dynamical SU(2) symmetry in the asymptotic description of supersymmetric matrix models. We also consider a recursive approach for determining the ground state, and point out some additional properties of the model(s).

21.972139

17.152996

19.004408

17.587185

18.979326

18.619673

19.945305

18.219654

17.262993

20.105871

18.364683

19.530828

22.065039

19.276659

19.386496

19.145849

19.147635

19.203045

19.222984

21.5348

19.552013

hep-th/9511168

Trugenberger Carlo

M. C. Diamantini, P. Sodano, C. A. Trugenberger

Gauge Theories of Josephson Junction Arrays

39 pages, harvmac, two figures available on request

Nucl.Phys. B474 (1996) 641-677

10.1016/0550-3213(96)00309-4

CERN-TH/95-294

hep-th cond-mat

null

We show that the zero-temperature physics of planar Josephson junction arrays in the self-dual approximation is governed by an Abelian gauge theory with periodic mixed Chern-Simons term describing the charge-vortex coupling. The periodicity requires the existence of (Euclidean) topological excitations which determine the quantum phase structure of the model. The electric-magnetic duality leads to a quantum phase transition between a superconductor and a superinsulator at the self-dual point. We also discuss in this framework the recently proposed quantum Hall phases for charges and vortices in presence of external offset charges and magnetic fluxes: we show how the periodicity of the charge-vortex coupling can lead to transitions to anyon superconductivity phases. We finally generalize our results to three dimensions, where the relevant gauge theory is the so-called BF system, with an antisymmetric Kalb-Ramond gauge field.

[ { "created": "Thu, 23 Nov 1995 14:15:18 GMT", "version": "v1" } ]

2009-10-28

[ [ "Diamantini", "M. C.", "" ], [ "Sodano", "P.", "" ], [ "Trugenberger", "C. A.", "" ] ]

We show that the zero-temperature physics of planar Josephson junction arrays in the self-dual approximation is governed by an Abelian gauge theory with periodic mixed Chern-Simons term describing the charge-vortex coupling. The periodicity requires the existence of (Euclidean) topological excitations which determine the quantum phase structure of the model. The electric-magnetic duality leads to a quantum phase transition between a superconductor and a superinsulator at the self-dual point. We also discuss in this framework the recently proposed quantum Hall phases for charges and vortices in presence of external offset charges and magnetic fluxes: we show how the periodicity of the charge-vortex coupling can lead to transitions to anyon superconductivity phases. We finally generalize our results to three dimensions, where the relevant gauge theory is the so-called BF system, with an antisymmetric Kalb-Ramond gauge field.

9.721444

9.883688

11.173857

9.414155

9.996423

9.431818

9.597102

9.315032

9.542718

10.452118

8.998834

9.804314

10.206768

9.821909

9.80381

9.745101

9.909536

9.794724

9.94806

10.485842

9.569954

1511.03102

Yu-Xiao Liu

Yun-Zhi Du, Li Zhao, Xiang-Nan Zhou, Yi Zhong, and Yu-Xiao Liu

Localization of Gravitino Field on Thin Branes

v2: 18 pages, 14 figures

Annals Phys. 388 (2018) 69-88

10.1016/j.aop.2017.10.021

null

hep-th hep-ph

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

In this paper, we investigate the localization of a bulk gravitino field on the scalar-tensor branes and compare the result with that in the Randall-Sundrum-1 (RS1) model. The coupled chiral equations for the Kaluza-Klein (KK) modes of the gravitino field are obtained by fixing the gauge $\Psi_5=0$ and using the chiral KK decompositions. It is shown that, in the RS1 model for the left- and right-handed zero modes of the gravitino field, only one of them can be localized near one brane. For the massive modes, both chiral modes survive and the lower KK modes are localized near the IR brane from the four-dimensional physical coordinate point of view. However, for the scalar-tensor brane model, the localization of the gravitino chiral zero modes depends on the coupling parameter $\lambda$, and they will be not localized around anyone brane within a certain range of the parameter $\lambda$, which is quite different from the RS1 model. Furthermore, we also give the corresponding mass spectra of the massive KK gravitinos in the scalar-tensor model.

[ { "created": "Tue, 10 Nov 2015 13:30:08 GMT", "version": "v1" }, { "created": "Mon, 3 Apr 2017 10:29:00 GMT", "version": "v2" }, { "created": "Tue, 21 Nov 2017 11:29:02 GMT", "version": "v3" } ]

2017-11-22

[ [ "Du", "Yun-Zhi", "" ], [ "Zhao", "Li", "" ], [ "Zhou", "Xiang-Nan", "" ], [ "Zhong", "Yi", "" ], [ "Liu", "Yu-Xiao", "" ] ]

In this paper, we investigate the localization of a bulk gravitino field on the scalar-tensor branes and compare the result with that in the Randall-Sundrum-1 (RS1) model. The coupled chiral equations for the Kaluza-Klein (KK) modes of the gravitino field are obtained by fixing the gauge $\Psi_5=0$ and using the chiral KK decompositions. It is shown that, in the RS1 model for the left- and right-handed zero modes of the gravitino field, only one of them can be localized near one brane. For the massive modes, both chiral modes survive and the lower KK modes are localized near the IR brane from the four-dimensional physical coordinate point of view. However, for the scalar-tensor brane model, the localization of the gravitino chiral zero modes depends on the coupling parameter $\lambda$, and they will be not localized around anyone brane within a certain range of the parameter $\lambda$, which is quite different from the RS1 model. Furthermore, we also give the corresponding mass spectra of the massive KK gravitinos in the scalar-tensor model.

6.58886

5.988308

6.516529

5.90204

5.706816

6.203514

6.144939

5.936383

5.782094

6.884955

6.059404

6.103955

6.113498

5.955123

6.095566

5.937232

6.069499

5.889801

5.895181

6.2809

5.939032

hep-th/0404249

Keiichi Shigechi

Keiichi Shigechi, Miki Wadati and Ning Wang

WDVV equation and Triple-product Relation

Latex,11 pages,no figures

Nucl.Phys. B706 (2005) 518-530

10.1016/j.nuclphysb.2004.11.060

null

hep-th

null

We study the relation between the WDVV equations and the $\tau$-function of the noncommutative KP (NCKP) hierarchy. WDVV-like equations (Hirota triple-product relation) in the noncommutative context appear as a consequence of the non-trivial equation for $\tau$-function of the NC KP hierarchy, while the prepotential in the Seiberg-Witten (SW) theory has been identified to the $\tau$-function of the Whitham hierarchy. We show that the spectral curve for the SW theory is the same as the Toda-chain hierarchy. We also show that Whitham hierarchy includes commutative Toda/KP hierarchy as a construction. Further, we comment on the origin of the Hirota triple-product relation in the context of the SW theory.

[ { "created": "Fri, 30 Apr 2004 09:44:47 GMT", "version": "v1" } ]

2009-11-10

[ [ "Shigechi", "Keiichi", "" ], [ "Wadati", "Miki", "" ], [ "Wang", "Ning", "" ] ]

We study the relation between the WDVV equations and the $\tau$-function of the noncommutative KP (NCKP) hierarchy. WDVV-like equations (Hirota triple-product relation) in the noncommutative context appear as a consequence of the non-trivial equation for $\tau$-function of the NC KP hierarchy, while the prepotential in the Seiberg-Witten (SW) theory has been identified to the $\tau$-function of the Whitham hierarchy. We show that the spectral curve for the SW theory is the same as the Toda-chain hierarchy. We also show that Whitham hierarchy includes commutative Toda/KP hierarchy as a construction. Further, we comment on the origin of the Hirota triple-product relation in the context of the SW theory.

7.377757

7.283628

8.22115

7.398981

7.662383

7.563545

8.634077

7.808741

7.26615

8.912025

7.053144

7.256237

7.524169

7.049078

7.27202

7.403082

7.247879

7.114456

6.980971

7.560024

7.015258

hep-th/9905131

Askold Duviryak

A. Duviryak (Inst. for Cond. Matt. Phys.)

Classical mechanics of relativistic particle with colour

8 pages, presented at 3rd Int. Conf. "Symmetry in Nonlin. Math. Phys." (12-18 July 1999, Kyiv)

Proc. of Inst. of Math. of NAS of Ukraine, Vol. 30, pp. 473-480 (2000)

null

hep-th

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

Classical description of relativistic pointlike particle with intrinsic degrees of freedom such as isospin or colour is proposed. It is based on the Lagrangian of general form defined on the tangent bundle over a principal fibre bundle. It is shown that the dynamics splits into the external dynamics which describes the interaction of particle with gauge field in terms of Wong equations, and the internal dynamics which results in a spatial motion of particle via integrals of motion only. A relevant Hamiltonian description is built too.

[ { "created": "Tue, 18 May 1999 16:21:14 GMT", "version": "v1" }, { "created": "Wed, 23 Oct 2019 16:24:41 GMT", "version": "v2" } ]

2019-10-24

[ [ "Duviryak", "A.", "", "Inst. for Cond. Matt. Phys." ] ]

Classical description of relativistic pointlike particle with intrinsic degrees of freedom such as isospin or colour is proposed. It is based on the Lagrangian of general form defined on the tangent bundle over a principal fibre bundle. It is shown that the dynamics splits into the external dynamics which describes the interaction of particle with gauge field in terms of Wong equations, and the internal dynamics which results in a spatial motion of particle via integrals of motion only. A relevant Hamiltonian description is built too.

13.551304

12.274853

12.49925

11.712995

13.258102

13.320214

12.469774

12.493163

11.120798

13.391976

11.313514

11.891084

12.06268

12.045135

12.06522

11.971033

11.851665

11.579844

11.798662

12.138616

11.67681

2310.19050

Federica Muscolino

Alexander Kamenshchik and Federica Muscolino

Looking for Carroll particles in two time spacetime

11 pages, 1 figure

null

hep-th gr-qc quant-ph

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

We make an attempt to describe Carroll particles with a non-vanishing value of energy (i.e. the Carroll particles which always stay in rest) in the framework of two time physics, developed in the series of papers by I. Bars and his co-authors. In the spacetime with one additional time dimension and one additional space dimension one can localize the symmetry which exists between generalized coordinate and their conjugate momenta. Such a localization implies the introduction of the gauge fields, which in turn implies the appearance of some first-class constraints. Choosing different gauge-fixing conditions and solving the constraints one obtain different time parameters, Hamiltonians, and generally, physical systems in the standard one time spacetime. In this way such systems as non-relativistic particle, relativistic particles, hydrogen atoms and harmonic oscillators were described as dual systems in the framework of the two time physics. Here, we find a set of gauge fixing conditions which provides as with such a parametrization of the phase space variables in the two time world which gives the description of Carroll particle in the one time world. Besides, we construct the quantum theory of such a particle using an unexpected correspondence between our parametrization and that obtained by Bars for the hydrogen atom in 1999.

[ { "created": "Sun, 29 Oct 2023 15:51:41 GMT", "version": "v1" } ]

2023-10-31

[ [ "Kamenshchik", "Alexander", "" ], [ "Muscolino", "Federica", "" ] ]

We make an attempt to describe Carroll particles with a non-vanishing value of energy (i.e. the Carroll particles which always stay in rest) in the framework of two time physics, developed in the series of papers by I. Bars and his co-authors. In the spacetime with one additional time dimension and one additional space dimension one can localize the symmetry which exists between generalized coordinate and their conjugate momenta. Such a localization implies the introduction of the gauge fields, which in turn implies the appearance of some first-class constraints. Choosing different gauge-fixing conditions and solving the constraints one obtain different time parameters, Hamiltonians, and generally, physical systems in the standard one time spacetime. In this way such systems as non-relativistic particle, relativistic particles, hydrogen atoms and harmonic oscillators were described as dual systems in the framework of the two time physics. Here, we find a set of gauge fixing conditions which provides as with such a parametrization of the phase space variables in the two time world which gives the description of Carroll particle in the one time world. Besides, we construct the quantum theory of such a particle using an unexpected correspondence between our parametrization and that obtained by Bars for the hydrogen atom in 1999.

12.578217

12.927588

13.083408

12.022317

11.928796

12.479136

13.03553

12.162811

11.997189

13.461503

12.131844

11.310383

12.177703

11.720216

11.681467

11.705898

11.707305

11.356795

11.812287

12.400635

11.502814

2109.13781

Sebastian Dumitru

Sebastian Dumitru and Burt A. Ovrut

Heterotic $M$-Theory Hidden Sectors with an Anomalous $U(1)$ Gauge Symmetry

47 pages, extended the analysis to include the five-brane brane contribution

null

hep-th

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

The hidden sector of heterotic $M$-theory vacua whose gauge bundle contains an anomalous $U(1)$ factor is discussed in detail. The mathematical formalism for computing the inhomogeneous transformation of the dilaton and K\"ahler moduli axions under an anomalous $U(1)$ transformation is presented. Along with matter multiplets, which transform homogeneously under $U(1)$, the relevant part of the $U(1)$ invariant low energy hidden sector Lagrangian is presented and analyzed. A detailed mathematical formalism is given for rotating these field to a new basis of chiral superfields with normalized kinetic energy and a diagonal mass matrix. It is shown that the scalar and fermionic components of one such chiral superfield give rise to a massive $U(1)$ vector superfield, whose mass is composed of both anomalous and Higgs contributions associated with the inhomogeneous and homogeneous transformations respectively. Two explicit examples are presented, with vanishing and non-zero Fayet-Iliopoulos term respectively. The canonically normalized hidden sector Lagrangian given here is restricted to gauge interactions only. A study of higher order interactions of the moduli and matter multiplets, as well as the coupling to supergravity, will be presented elsewhere.

[ { "created": "Tue, 28 Sep 2021 15:00:06 GMT", "version": "v1" }, { "created": "Wed, 13 Oct 2021 22:17:07 GMT", "version": "v2" } ]

2021-10-15

[ [ "Dumitru", "Sebastian", "" ], [ "Ovrut", "Burt A.", "" ] ]

The hidden sector of heterotic $M$-theory vacua whose gauge bundle contains an anomalous $U(1)$ factor is discussed in detail. The mathematical formalism for computing the inhomogeneous transformation of the dilaton and K\"ahler moduli axions under an anomalous $U(1)$ transformation is presented. Along with matter multiplets, which transform homogeneously under $U(1)$, the relevant part of the $U(1)$ invariant low energy hidden sector Lagrangian is presented and analyzed. A detailed mathematical formalism is given for rotating these field to a new basis of chiral superfields with normalized kinetic energy and a diagonal mass matrix. It is shown that the scalar and fermionic components of one such chiral superfield give rise to a massive $U(1)$ vector superfield, whose mass is composed of both anomalous and Higgs contributions associated with the inhomogeneous and homogeneous transformations respectively. Two explicit examples are presented, with vanishing and non-zero Fayet-Iliopoulos term respectively. The canonically normalized hidden sector Lagrangian given here is restricted to gauge interactions only. A study of higher order interactions of the moduli and matter multiplets, as well as the coupling to supergravity, will be presented elsewhere.

8.194133

8.972368

8.305705

8.511342

8.831871

9.058652

8.252217

8.020475

8.343063

8.915874

7.9079

7.990106

7.884487

8.113188

8.066331

7.977854

7.741298

7.899455

7.766226

8.136084

7.81059

2008.10574

Christoph Nega

Kilian B\"onisch, Fabian Fischbach, Albrecht Klemm, Christoph Nega and Reza Safari

Analytic Structure of all Loop Banana Amplitudes

40 pages, 1 figure, new appendix concerning a pari program to compute equal mass amplitude, minor corrections the paper is now also published in JHEP but under the name "Analytic structure of all loop banana integrals", some changes are done in the published version

Journal of High Energy Physics 2021

10.1007/JHEP05(2021)066

BONN-TH-2020-06

hep-th hep-ph math.AG math.NT

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

Using the Gelfand-Kapranov-Zelevinsk\u{\i} system for the primitive cohomology of an infinite series of complete intersection Calabi-Yau manifolds, whose dimension is the loop order minus one, we completely clarify the analytic structure of all banana amplitudes with arbitrary masses. In particular, we find that the leading logarithmic structure in the high energy regime, which corresponds to the point of maximal unipotent monodromy, is determined by a novel $\widehat \Gamma$-class evaluation in the ambient spaces of the mirror, while the imaginary part of the amplitude in this regime is determined by the $\widehat \Gamma$-class of the mirror Calabi-Yau manifold itself. We provide simple closed all loop formulas for the former as well as for the Frobenius $\kappa$-constants, which determine the behaviour of the amplitudes, when the momentum square equals the sum of the masses squared, in terms of zeta values. We extend our previous work from three to four loops by providing for the latter case a complete set of (inhomogenous) Picard-Fuchs differential equations for arbitrary masses. This allows to evaluate the amplitude as well as other master integrals with raised powers of the propagators in very short time to very high numerical precision for all values of the physical parameters. Using a recent $p$-adic analysis of the periods we determine the value of the maximal cut equal mass four-loop amplitude at the attractor points in terms of periods of modular weight two and four Hecke eigenforms and the quasiperiods of their meromorphic cousins.

[ { "created": "Mon, 24 Aug 2020 17:25:17 GMT", "version": "v1" }, { "created": "Fri, 23 Oct 2020 10:09:26 GMT", "version": "v2" }, { "created": "Fri, 14 May 2021 13:56:14 GMT", "version": "v3" } ]

2021-05-17

[ [ "Bönisch", "Kilian", "" ], [ "Fischbach", "Fabian", "" ], [ "Klemm", "Albrecht", "" ], [ "Nega", "Christoph", "" ], [ "Safari", "Reza", "" ] ]

Using the Gelfand-Kapranov-Zelevinsk\u{\i} system for the primitive cohomology of an infinite series of complete intersection Calabi-Yau manifolds, whose dimension is the loop order minus one, we completely clarify the analytic structure of all banana amplitudes with arbitrary masses. In particular, we find that the leading logarithmic structure in the high energy regime, which corresponds to the point of maximal unipotent monodromy, is determined by a novel $\widehat \Gamma$-class evaluation in the ambient spaces of the mirror, while the imaginary part of the amplitude in this regime is determined by the $\widehat \Gamma$-class of the mirror Calabi-Yau manifold itself. We provide simple closed all loop formulas for the former as well as for the Frobenius $\kappa$-constants, which determine the behaviour of the amplitudes, when the momentum square equals the sum of the masses squared, in terms of zeta values. We extend our previous work from three to four loops by providing for the latter case a complete set of (inhomogenous) Picard-Fuchs differential equations for arbitrary masses. This allows to evaluate the amplitude as well as other master integrals with raised powers of the propagators in very short time to very high numerical precision for all values of the physical parameters. Using a recent $p$-adic analysis of the periods we determine the value of the maximal cut equal mass four-loop amplitude at the attractor points in terms of periods of modular weight two and four Hecke eigenforms and the quasiperiods of their meromorphic cousins.

10.859122

12.628898

12.359179

10.486406

11.301827

12.019883

11.575912

11.251951

10.811332

13.576632

11.124718

10.461686

10.731679

10.422292

10.572156

10.657475

10.293881

10.232348

10.610201

10.93334

10.472115

hep-th/9811126

Klemm Dietmar

Dietmar Klemm (University of Trento, Italy)

Rotating Black Branes wrapped on Einstein Spaces

11 pages, RevTeX, no figures, thermodynamical discussion and 2 references added

JHEP 9811:019,1998

10.1088/1126-6708/1998/11/019

UTF 426

hep-th gr-qc

null

We present new rotating black brane solutions which solve Einstein's equations with cosmological constant $\Lambda$ in arbitrary dimension $d$. For negative $\Lambda$, the branes naturally appear in AdS supergravity compactifications, and should therefore play some role in the AdS/CFT correspondence. The spacetimes are warped products of a four-dimensional part and an Einstein space of dimension $d-4$, which is not necessarily of constant curvature. As a special subcase, the solutions contain the higher dimensional generalization of the Kerr-AdS metric recently found by Hawking et al.

[ { "created": "Fri, 13 Nov 1998 15:09:25 GMT", "version": "v1" }, { "created": "Thu, 19 Nov 1998 16:05:47 GMT", "version": "v2" } ]

2010-02-03

[ [ "Klemm", "Dietmar", "", "University of Trento, Italy" ] ]

We present new rotating black brane solutions which solve Einstein's equations with cosmological constant $\Lambda$ in arbitrary dimension $d$. For negative $\Lambda$, the branes naturally appear in AdS supergravity compactifications, and should therefore play some role in the AdS/CFT correspondence. The spacetimes are warped products of a four-dimensional part and an Einstein space of dimension $d-4$, which is not necessarily of constant curvature. As a special subcase, the solutions contain the higher dimensional generalization of the Kerr-AdS metric recently found by Hawking et al.

7.334923

6.604047

6.745759

6.490613

6.874659

6.594119

7.429878

6.418183

6.59773

7.169478

6.297943

6.630201

6.580459

6.548342

6.552041

6.29952

6.364

6.122669

6.452707

6.943864

6.355306

0707.2859

Hendrik De Bie

Hendrik De Bie, Frank Sommen

A Clifford analysis approach to superspace

15 pages, accepted for publication in Annals of Physics

null

10.1016/j.aop.2007.04.012

null

hep-th math-ph math.MP

null

A new framework for studying superspace is given, based on methods from Clifford analysis. This leads to the introduction of both orthogonal and symplectic Clifford algebra generators, allowing for an easy and canonical introduction of a super-Dirac operator, a super-Laplace operator and the like. This framework is then used to define a super-Hodge coderivative, which, together with the exterior derivative, factorizes the Laplace operator. Finally both the cohomology of the exterior derivative and the homology of the Hodge operator on the level of polynomial-valued super-differential forms are studied. This leads to some interesting graphical representations and provides a better insight in the definition of the Berezin-integral.

[ { "created": "Thu, 19 Jul 2007 09:29:39 GMT", "version": "v1" } ]

2007-07-20

[ [ "De Bie", "Hendrik", "" ], [ "Sommen", "Frank", "" ] ]

A new framework for studying superspace is given, based on methods from Clifford analysis. This leads to the introduction of both orthogonal and symplectic Clifford algebra generators, allowing for an easy and canonical introduction of a super-Dirac operator, a super-Laplace operator and the like. This framework is then used to define a super-Hodge coderivative, which, together with the exterior derivative, factorizes the Laplace operator. Finally both the cohomology of the exterior derivative and the homology of the Hodge operator on the level of polynomial-valued super-differential forms are studied. This leads to some interesting graphical representations and provides a better insight in the definition of the Berezin-integral.

10.538773

11.238406

11.052301

9.451456

10.683832

11.245595

11.452179

10.95165

10.255277

11.862987

10.04209

10.352254

10.894556

10.04876

9.89768

10.553364

10.346766

10.134057

10.058111

10.243279

9.938643

hep-th/0605172

Andrew Cohen

Andrew G. Cohen and Daniel Z. Freedman

Sim(2) and SUSY

10 pages, revtex4. Note added and sign corrected

JHEP 0707:039,2007

10.1088/1126-6708/2007/07/039

MIT_CTP 3744

hep-th

null

The proposal of hep-ph/0601236, that the laws of physics in flat spacetime need be invariant only under a SIM(2) subgroup of the Lorentz group, is extended to include supersymmetry. $\mathcal{N}=1$ SUSY gauge theories which include SIM(2) couplings for the fermions in chiral multiplets are formulated. These theories contain two conserved supercharges rather than the usual four.

[ { "created": "Wed, 17 May 2006 18:29:09 GMT", "version": "v1" }, { "created": "Sun, 8 Apr 2007 13:52:46 GMT", "version": "v2" } ]

2009-10-08

[ [ "Cohen", "Andrew G.", "" ], [ "Freedman", "Daniel Z.", "" ] ]

The proposal of hep-ph/0601236, that the laws of physics in flat spacetime need be invariant only under a SIM(2) subgroup of the Lorentz group, is extended to include supersymmetry. $\mathcal{N}=1$ SUSY gauge theories which include SIM(2) couplings for the fermions in chiral multiplets are formulated. These theories contain two conserved supercharges rather than the usual four.

10.175409

9.252674

8.627068

8.595392

9.19456

9.237543

9.634915

9.652764

8.344231

8.763968

9.48403

9.053831

9.212738

9.078041

9.430721

9.71422

9.16827

9.42137

9.152658

8.877029

9.257304

2308.07695

Hiren Kakkad

Scattering Amplitudes in the Yang-Mills sector of Quantum Chromodynamics

Thesis, 236 pages

null

hep-th

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

We derive a new Minkowski space action for the pure gluonic sector of QCD that implements new interaction vertices local in the light-cone time with at least four legs and fixed helicities - the lowest vertex is the four-point MHV (Maximally Helicity Violating), higher point vertices include $\mathrm{N}^k \mathrm{MHV}$, where 1 $\leqslant$ k $\leqslant $ n-4 and n is the number of external legs. The abscense of triple point interaction vertices makes it efficient in calculating higher multiplicity pure gluonic scattering amplitudes. This formulation is obtained via a canonical transformation of the light-cone Yang-Mills action, with the field transformations based on Wilson line functionals. At the quantum level, the action can only provide cut-constructible parts of amplitudes in 4D. In order to remedy that, we constructed the one-loop effective action starting with the Yang-Mills theory, which explicitly provides the missing contributions. This work provides a new field-theory action-based method to efficiently calculate higher multiplicity pure gluonic scattering amplitudes up to one loop.

[ { "created": "Tue, 15 Aug 2023 10:52:07 GMT", "version": "v1" } ]

2023-08-16

[ [ "Kakkad", "Hiren", "" ] ]

We derive a new Minkowski space action for the pure gluonic sector of QCD that implements new interaction vertices local in the light-cone time with at least four legs and fixed helicities - the lowest vertex is the four-point MHV (Maximally Helicity Violating), higher point vertices include $\mathrm{N}^k \mathrm{MHV}$, where 1 $\leqslant$ k $\leqslant $ n-4 and n is the number of external legs. The abscense of triple point interaction vertices makes it efficient in calculating higher multiplicity pure gluonic scattering amplitudes. This formulation is obtained via a canonical transformation of the light-cone Yang-Mills action, with the field transformations based on Wilson line functionals. At the quantum level, the action can only provide cut-constructible parts of amplitudes in 4D. In order to remedy that, we constructed the one-loop effective action starting with the Yang-Mills theory, which explicitly provides the missing contributions. This work provides a new field-theory action-based method to efficiently calculate higher multiplicity pure gluonic scattering amplitudes up to one loop.

10.916771

10.744984

10.989845

10.407857

10.262972

10.294259

10.909189

10.716086

10.060749

11.67487

10.10477

10.545697

10.409974

10.039281

9.922232

10.256471

10.208138

10.392719

10.041715

10.148514

10.150462

1801.06858

Ferenc Niedermayer

Ferenc Niedermayer and Peter Weisz

Casimir squared correction to the standard rotator Hamiltonian for the O($n$) sigma-model in the delta-regime

25 pages, 1 figure

null

10.1007/JHEP05(2018)070

MPP-2017-214

hep-th hep-lat

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

In a previous paper we found that the isospin susceptibility of the O($n$) sigma-model calculated in the standard rotator approximation differs from the next-to-next to leading order chiral perturbation theory result in terms vanishing like $1/\ell\,,$ for $\ell=L_t/L\to\infty$ and further showed that this deviation could be described by a correction to the rotator spectrum proportional to the square of the quadratic Casimir invariant. Here we confront this expectation with analytic nonperturbative results on the spectrum in 2 dimensions, by Balog and Heged\"us for $n=3,4$ and by Gromov, Kazakov and Vieira for $n=4$. We also consider the case of 3 dimensions.

[ { "created": "Sun, 21 Jan 2018 17:28:33 GMT", "version": "v1" } ]

2018-06-13

[ [ "Niedermayer", "Ferenc", "" ], [ "Weisz", "Peter", "" ] ]

In a previous paper we found that the isospin susceptibility of the O($n$) sigma-model calculated in the standard rotator approximation differs from the next-to-next to leading order chiral perturbation theory result in terms vanishing like $1/\ell\,,$ for $\ell=L_t/L\to\infty$ and further showed that this deviation could be described by a correction to the rotator spectrum proportional to the square of the quadratic Casimir invariant. Here we confront this expectation with analytic nonperturbative results on the spectrum in 2 dimensions, by Balog and Heged\"us for $n=3,4$ and by Gromov, Kazakov and Vieira for $n=4$. We also consider the case of 3 dimensions.

11.157929

10.35911

12.478535

10.430619

10.392625

10.174717

11.268368

11.768576

9.900751

12.744064

9.684331

10.69128

10.79677

10.220736

10.160507

10.587399

10.738523

10.099466

10.479928

10.11201

10.227154

hep-th/0207108

Soo-Jong Rey

Exact Answers to Approximate Questions: Noncommutative Dipoles, Open Wilson Lines, and UV-IR Duality

short lecture at 2001 Les Houches summer school

null

SNUST 02-0701

hep-th

null

In this lecture, I put forward conjectures asserting that, in all noncommutative field theories, (1) open Wilson lines and their descendants constitute a complete set of interpolating operators of `noncommutative dipoles', obeying dipole relation, (2) infrared dynamics of the noncommutative dipoles is dual to ultraviolet dynamics of the elementary noncommutative fields, and (3) open string field theory is a sort of noncommutative field theory, whose open Wilson lines are interpolating operators for closed strings. I substantiate these conjectures by various intuitive arguments and explicit computations of one- and two-loop Feynman diagrammatics.

[ { "created": "Thu, 11 Jul 2002 14:56:04 GMT", "version": "v1" } ]

2007-05-23

[ [ "Rey", "Soo-Jong", "" ] ]

In this lecture, I put forward conjectures asserting that, in all noncommutative field theories, (1) open Wilson lines and their descendants constitute a complete set of interpolating operators of `noncommutative dipoles', obeying dipole relation, (2) infrared dynamics of the noncommutative dipoles is dual to ultraviolet dynamics of the elementary noncommutative fields, and (3) open string field theory is a sort of noncommutative field theory, whose open Wilson lines are interpolating operators for closed strings. I substantiate these conjectures by various intuitive arguments and explicit computations of one- and two-loop Feynman diagrammatics.

8.488839

8.76078

8.171465

8.004209

7.988688

8.311625

8.148662

7.655638

7.995492

8.422584

7.949133

7.845604

7.905227

7.694848

7.760069

8.153946

7.501794

7.860778

7.598222

7.804137

7.704205

hep-th/0207234

Kokorelis

Christos Kokorelis

Exact Standard model Structures from Intersecting D5-Branes

71 pages, 8 figures, LaTex, 45 tables, RR tadpoles unchanged, Brane recombination guarantees gauge breaking `homology flow' transitions between six, five and four stack D5 SM quivers

Nucl.Phys.B677:115-163,2004

10.1016/j.nuclphysb.2003.11.007

FTUAM-02-20, IFT-UAM/CSIC-02-17

hep-th hep-ph

null

We discuss the appearance of non-supersymmetric compactifications with exactly the Standard Model (SM) at low energies, in the context of IIB orientifold constructions with D5 branes intersecting at angles on the $T^4$ tori, of the orientifold of $T^4 \times (\C /Z_N)$. We discuss constructions where the Standard Model embedding is considering within four, five and six stacks of D5 branes. The appearance of the three generation observable Standard Model at low energies is accompanied by a gauged baryon number, thus ensuring automatic proton stability. Also, a compatibility with a low scale of order TeV is ensured by having a two dimensional space transverse to all branes. The present models complete the discussion of some recently constructed four stack models of D5 branes with the SM at low energy. By embedding the four, five and six stack Standard Model configurations into quiver diagrams, deforming them around the QCD intersection numbers, we find a rich variety of vacua that may have exactly the Standard Model at low energy. Also by using brane recombination on the U(1)'s, we show that the five and six vacua flow into their four stack counterparts. Thus string vacua with five and six stack deformations are continuously connected to the four stack vacua.

[ { "created": "Thu, 25 Jul 2002 17:53:43 GMT", "version": "v1" }, { "created": "Fri, 9 Aug 2002 20:43:25 GMT", "version": "v2" }, { "created": "Fri, 21 Mar 2003 16:07:22 GMT", "version": "v3" }, { "created": "Sun, 23 Mar 2003 10:55:16 GMT", "version": "v4" } ]

2014-11-18

[ [ "Kokorelis", "Christos", "" ] ]

We discuss the appearance of non-supersymmetric compactifications with exactly the Standard Model (SM) at low energies, in the context of IIB orientifold constructions with D5 branes intersecting at angles on the $T^4$ tori, of the orientifold of $T^4 \times (\C /Z_N)$. We discuss constructions where the Standard Model embedding is considering within four, five and six stacks of D5 branes. The appearance of the three generation observable Standard Model at low energies is accompanied by a gauged baryon number, thus ensuring automatic proton stability. Also, a compatibility with a low scale of order TeV is ensured by having a two dimensional space transverse to all branes. The present models complete the discussion of some recently constructed four stack models of D5 branes with the SM at low energy. By embedding the four, five and six stack Standard Model configurations into quiver diagrams, deforming them around the QCD intersection numbers, we find a rich variety of vacua that may have exactly the Standard Model at low energy. Also by using brane recombination on the U(1)'s, we show that the five and six vacua flow into their four stack counterparts. Thus string vacua with five and six stack deformations are continuously connected to the four stack vacua.

13.298443

12.630334

13.856804

12.813787

12.544082

12.964572

13.028731

13.02028

13.240137

16.052404

13.265677

12.981596

13.152644

13.442766

13.221879

13.546229

13.529816

12.794407

13.1967

13.59692

12.769698

hep-th/9801202

Ergin Sezgin

C.S. Chu, P.S. Howe and E. Sezgin

Strings and D-Branes with Boundaries

12 pages, Latex

Phys.Lett. B428 (1998) 59-67

10.1016/S0370-2693(98)00376-1

null

hep-th

null

The covariant field equations of ten-dimensional super D-branes are obtained by considering fundamental strings whose ends lie in the superworldsurface of the D-brane. By considering in a similar fashion Dp-branes ending on D(p+2)-branes we derive equations describing D-branes with dual potentials, as well as the vector potentials.

[ { "created": "Fri, 30 Jan 1998 00:29:18 GMT", "version": "v1" } ]

2009-10-31

[ [ "Chu", "C. S.", "" ], [ "Howe", "P. S.", "" ], [ "Sezgin", "E.", "" ] ]

The covariant field equations of ten-dimensional super D-branes are obtained by considering fundamental strings whose ends lie in the superworldsurface of the D-brane. By considering in a similar fashion Dp-branes ending on D(p+2)-branes we derive equations describing D-branes with dual potentials, as well as the vector potentials.

15.791777

15.702557

18.577822

13.785209

16.913561

16.576456

14.278741

13.826486

15.337308

20.397873

13.629617

13.124006

17.01461

14.322304

13.755345

14.044516

13.58008

14.236234

13.719162

16.789581

13.041744

hep-th/9510203

null

M. P. Fry

QED in strong, finite-flux magnetic fields

10 pages, postscript (in uuencoded compressed tar file)

Phys.Rev. D53 (1996) 980-983

10.1103/PhysRevD.53.980

null

hep-th

null

Lower bounds are placed on the fermionic determinants of Euclidean quantum electrodynamics in two and four dimensions in the presence of a smooth, finite-flux, static, unidirectional magnetic field $B(r) =(0,0,B(r))$, where $B(r) \geq 0$ or $B(r) \leq 0$, and $r$ is a point in the xy-plane.

[ { "created": "Tue, 24 Oct 1995 11:27:32 GMT", "version": "v1" } ]

2009-10-28

[ [ "Fry", "M. P.", "" ] ]

Lower bounds are placed on the fermionic determinants of Euclidean quantum electrodynamics in two and four dimensions in the presence of a smooth, finite-flux, static, unidirectional magnetic field $B(r) =(0,0,B(r))$, where $B(r) \geq 0$ or $B(r) \leq 0$, and $r$ is a point in the xy-plane.

6.996129

5.571118

7.787471

6.286469

7.499849

7.155386

6.844548

6.455293

6.081114

8.329036

6.220077

6.22937

7.26216

6.759822

6.611303

6.551316

6.393481

6.70796

7.093049

7.365081

6.445953

hep-th/0211216

Albrecht Klemm

Albrecht Klemm, Marcos Marino and Stefan Theisen

Gravitational corrections in supersymmetric gauge theory and matrix models

27 pages, one eps figure

JHEP 0303:051,2003

10.1088/1126-6708/2003/03/051

AEI-2002-090, HU-EP-02/48, HUTP-02/A060

hep-th

null

Gravitational corrections in N=1 and N=2 supersymmetric gauge theories are obtained from topological string amplitudes. We show how they are recovered in matrix model computations. This provides a test of the proposal by Dijkgraaf and Vafa beyond the planar limit. Both, matrix model and topological string theory, are used to check a conjecture of Nekrasov concerning these gravitational couplings in Seiberg-Witten theory. Our analysis is performed for those gauge theories which are related to the cubic matrix model, i.e. pure SU(2) Seiberg-Witten theory and N=2 U(N) SYM broken to N=1 via a cubic superpotential. We outline the computation of the topological amplitudes for the local Calabi-Yau manifolds which are relevant for these two cases.

[ { "created": "Fri, 22 Nov 2002 14:10:39 GMT", "version": "v1" } ]

2010-04-06

[ [ "Klemm", "Albrecht", "" ], [ "Marino", "Marcos", "" ], [ "Theisen", "Stefan", "" ] ]

Gravitational corrections in N=1 and N=2 supersymmetric gauge theories are obtained from topological string amplitudes. We show how they are recovered in matrix model computations. This provides a test of the proposal by Dijkgraaf and Vafa beyond the planar limit. Both, matrix model and topological string theory, are used to check a conjecture of Nekrasov concerning these gravitational couplings in Seiberg-Witten theory. Our analysis is performed for those gauge theories which are related to the cubic matrix model, i.e. pure SU(2) Seiberg-Witten theory and N=2 U(N) SYM broken to N=1 via a cubic superpotential. We outline the computation of the topological amplitudes for the local Calabi-Yau manifolds which are relevant for these two cases.

6.682108

6.22697

8.067554

5.801612

6.557184

6.61073

6.046416

6.141982

5.980575

8.505638

5.957938

5.931765

6.763546

6.104445

6.096248

6.031083

6.139576

6.133331

5.939002

6.870917

5.980071

1407.0305

Marcin Pi\k{a}tek dr.

Marcin Piatek, Artur R. Pietrykowski

Classical irregular block, N=2 pure gauge theory and Mathieu equation

47 pages, 3 figures

null

10.1007/JHEP12(2014)032

null

hep-th

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

Combining the semiclassical/Nekrasov-Shatashvili limit of the AGT conjecture and the Bethe/gauge correspondence results in a triple correspondence which identifies classical conformal blocks with twisted superpotentials and then with Yang-Yang functions. In this paper the triple correspondence is studied in the simplest, yet not completely understood case of pure SU(2) super-Yang-Mills gauge theory. A missing element of that correspondence is identified with the classical irregular block. Explicit tests provide a convincing evidence that such a function exists. In particular, it has been shown that the classical irregular block can be recovered from classical blocks on the torus and sphere in suitably defined decoupling limits of classical external conformal weights. These limits are "classical analogues" of known decoupling limits for corresponding quantum blocks. An exact correspondence between the classical irregular block and the SU(2) gauge theory twisted superpotential has been obtained as a result of another consistency check. The latter determines the spectrum of the 2-particle periodic Toda (sin-Gordon) Hamiltonian in accord with the Bethe/gauge correspondence. An analogue of this statement is found entirely within 2d CFT. Namely, considering the classical limit of the null vector decoupling equation for the degenerate irregular block a celebrated Mathieu's equation is obtained with an eigenvalue determined by the classical irregular block. As it has been checked this result reproduces a well known weak coupling expansion of Mathieu's eigenvalue. Finally, yet another new formulae for Mathieu's eigenvalue relating the latter to a solution of certain Bethe-like equation are found.

[ { "created": "Tue, 1 Jul 2014 16:21:43 GMT", "version": "v1" } ]

2015-06-22

[ [ "Piatek", "Marcin", "" ], [ "Pietrykowski", "Artur R.", "" ] ]

Combining the semiclassical/Nekrasov-Shatashvili limit of the AGT conjecture and the Bethe/gauge correspondence results in a triple correspondence which identifies classical conformal blocks with twisted superpotentials and then with Yang-Yang functions. In this paper the triple correspondence is studied in the simplest, yet not completely understood case of pure SU(2) super-Yang-Mills gauge theory. A missing element of that correspondence is identified with the classical irregular block. Explicit tests provide a convincing evidence that such a function exists. In particular, it has been shown that the classical irregular block can be recovered from classical blocks on the torus and sphere in suitably defined decoupling limits of classical external conformal weights. These limits are "classical analogues" of known decoupling limits for corresponding quantum blocks. An exact correspondence between the classical irregular block and the SU(2) gauge theory twisted superpotential has been obtained as a result of another consistency check. The latter determines the spectrum of the 2-particle periodic Toda (sin-Gordon) Hamiltonian in accord with the Bethe/gauge correspondence. An analogue of this statement is found entirely within 2d CFT. Namely, considering the classical limit of the null vector decoupling equation for the degenerate irregular block a celebrated Mathieu's equation is obtained with an eigenvalue determined by the classical irregular block. As it has been checked this result reproduces a well known weak coupling expansion of Mathieu's eigenvalue. Finally, yet another new formulae for Mathieu's eigenvalue relating the latter to a solution of certain Bethe-like equation are found.

10.427432

10.54617

12.581792

10.225859

11.660742

10.658766

10.529253

10.056392

10.1732

12.593841

10.230574

9.856903

10.523687

10.202372

10.438299

10.638216

10.23527

10.036923

10.08064

10.512974

10.085787

hep-th/0307245

Eric R. Sharpe

E. Sharpe

Lectures on D-branes and Sheaves

87 pages, LaTeX, 1 figure; v2: material on Freed-Witten added

null

ILL-(TH)-03-6

hep-th

null

These notes are a writeup of lectures given at the twelfth Oporto meeting on ``Geometry, Topology, and Physics,'' and at the Adelaide workshop ``Strings and Mathematics 2003,'' primarily geared towards a physics audience. We review current work relating boundary states in the open string B model on Calabi-Yau manifolds to sheaves. Such relationships provide us with a mechanism for counting open string states in situations where the physical spectrum calculation is nearly intractable -- after translating to mathematics, such calculations become easy. We describe several different approaches to these models, and also describe how these models are changed by varying physical circumstances -- flat B field backgrounds, orbifolds, and nonzero Higgs vevs. We also discuss mathematical interpretations of operator products, and how such mathematical interpretations can be checked physically. One of the motivations for this work is to understand the precise physical relationship between boundary states in the open string B model and derived categories in mathematics, and we outline what is currently known of the relationship.

[ { "created": "Thu, 24 Jul 2003 16:11:58 GMT", "version": "v1" }, { "created": "Wed, 6 Aug 2003 16:18:54 GMT", "version": "v2" } ]

2007-05-23

[ [ "Sharpe", "E.", "" ] ]

These notes are a writeup of lectures given at the twelfth Oporto meeting on ``Geometry, Topology, and Physics,'' and at the Adelaide workshop ``Strings and Mathematics 2003,'' primarily geared towards a physics audience. We review current work relating boundary states in the open string B model on Calabi-Yau manifolds to sheaves. Such relationships provide us with a mechanism for counting open string states in situations where the physical spectrum calculation is nearly intractable -- after translating to mathematics, such calculations become easy. We describe several different approaches to these models, and also describe how these models are changed by varying physical circumstances -- flat B field backgrounds, orbifolds, and nonzero Higgs vevs. We also discuss mathematical interpretations of operator products, and how such mathematical interpretations can be checked physically. One of the motivations for this work is to understand the precise physical relationship between boundary states in the open string B model and derived categories in mathematics, and we outline what is currently known of the relationship.

13.793434

13.933081

15.045592

12.492567

14.922866

14.177425

15.044606

13.847308

13.054925

16.640944

14.561371

12.651627

12.945178

12.610619

12.533964

12.57254

12.809669

12.221282

12.469943

13.177581

12.579225

2009.14667

F. David Wandler

Erich Poppitz and F. David Wandler

Topological terms and anomaly matching in effective field theories on $\mathbb{R}^3\times S^1$: I. Abelian symmetries and intermediate scales

70 pages, 9 figures. Version to appear in JHEP. Typos fixed, references added

null

10.1007/JHEP01(2021)091

null

hep-th hep-lat

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

We explicitly calculate the topological terms that arise in IR effective field theories for $SU(N)$ gauge theories on $\mathbb{R}^3 \times S^1$ by integrating out all but the lightest modes. We then show how these terms match all global-symmetry 't Hooft anomalies of the UV description. We limit our discussion to theories with abelian 0-form symmetries, namely those with one flavour of adjoint Weyl fermion and one or zero flavours of Dirac fermions. While anomaly matching holds as required, it takes a different form than previously thought. For example, cubic- and mixed-$U(1)$ anomalies are matched by local background-field-dependent topological terms (background TQFTs) instead of chiral-lagrangian Wess-Zumino terms. We also describe the coupling of 0-form and 1-form symmetry backgrounds in the magnetic dual of super-Yang-Mills theory in a novel way, valid throughout the RG flow and consistent with the monopole-instanton 't Hooft vertices. We use it to discuss the matching of the mixed chiral-center anomaly in the magnetic dual.

[ { "created": "Wed, 30 Sep 2020 13:41:55 GMT", "version": "v1" }, { "created": "Wed, 16 Dec 2020 20:18:20 GMT", "version": "v2" } ]

2021-02-03

[ [ "Poppitz", "Erich", "" ], [ "Wandler", "F. David", "" ] ]

We explicitly calculate the topological terms that arise in IR effective field theories for $SU(N)$ gauge theories on $\mathbb{R}^3 \times S^1$ by integrating out all but the lightest modes. We then show how these terms match all global-symmetry 't Hooft anomalies of the UV description. We limit our discussion to theories with abelian 0-form symmetries, namely those with one flavour of adjoint Weyl fermion and one or zero flavours of Dirac fermions. While anomaly matching holds as required, it takes a different form than previously thought. For example, cubic- and mixed-$U(1)$ anomalies are matched by local background-field-dependent topological terms (background TQFTs) instead of chiral-lagrangian Wess-Zumino terms. We also describe the coupling of 0-form and 1-form symmetry backgrounds in the magnetic dual of super-Yang-Mills theory in a novel way, valid throughout the RG flow and consistent with the monopole-instanton 't Hooft vertices. We use it to discuss the matching of the mixed chiral-center anomaly in the magnetic dual.

9.40274

9.668005

10.662848

8.462545

9.670734

9.62324

9.623826

9.386286

9.090107

10.671199

9.148153

9.068713

9.609826

9.116138

8.913987

8.965054

8.875186

9.488028

9.166619

9.567223

8.792803

1010.4418

Pulak Ranjan Giri

Debabrata Sinha, Pulak Ranjan Giri

A Family of Non-commutative geometries

5 pages, revtex

Mod. Phys. Lett. A26:2213-2221,2011

10.1142/S0217732311036619

null

hep-th cond-mat.mes-hall

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

It is shown that the non-commutativity in quantum Hall system may get modified. The self-adjoint extension of the corresponding Hamiltonian leads to a family of non-commutative geometries labeled by the self-adjoint extension parameters. We explicitly perform an exact calculation using a singular interaction and show that, when projected to a certain Landau level, the emergent non-commutative geometries of the projected coordinates belong to a one parameter family. There is a possibility of obtaining the filling fraction of fractional quantum Hall effect by suitably choosing the value of the self-adjoint extension parameter.

[ { "created": "Thu, 21 Oct 2010 10:45:52 GMT", "version": "v1" } ]

2011-09-28

[ [ "Sinha", "Debabrata", "" ], [ "Giri", "Pulak Ranjan", "" ] ]

It is shown that the non-commutativity in quantum Hall system may get modified. The self-adjoint extension of the corresponding Hamiltonian leads to a family of non-commutative geometries labeled by the self-adjoint extension parameters. We explicitly perform an exact calculation using a singular interaction and show that, when projected to a certain Landau level, the emergent non-commutative geometries of the projected coordinates belong to a one parameter family. There is a possibility of obtaining the filling fraction of fractional quantum Hall effect by suitably choosing the value of the self-adjoint extension parameter.

10.033459

8.805218

10.167334

8.362041

9.296863

9.143618

9.394758

8.634103

8.264579

10.031899

8.227153

8.659009

9.364079

9.093862

8.775718

8.690845

8.755331

8.990065

8.714039

9.433629

8.821812

1712.08016

Andrei Mironov

H. Awata, H. Kanno, A. Mironov, A. Morozov, K. Suetake, Y. Zenkevich

$(q,t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces

56 pages

J. High Energ. Phys. 2018 (2018) 192

10.1007/JHEP03(2018)192

FIAN/TD-30/17; IITP/TH-24/17; ITEP/TH-41/17

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

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

We describe the general strategy for lifting the Wess-Zumino-Witten model from the level of one-loop Kac-Moody $U_q(\widehat{\mathfrak{g}})_k$ to generic quantum toroidal algebras. A nearly exhaustive presentation is given for the two series $U_{q,t}(\widehat{\widehat{\mathfrak{gl}}}_1)$ and $U_{q,t}(\widehat{\widehat{\mathfrak{gl}}}_n)$, when screenings do not exist and thus all the correlators are purely algebraic, i.e. do not include additional hypergeometric type integrations/summations. Generalizing the construction of the intertwiner (refined topological vertex) of the Ding-Iohara-Miki (DIM) algebra, we obtain the intertwining operators of the Fock representations of the quantum toroidal algebra of type $A_n$. The correlation functions of these operators satisfy the $(q,t)$-Knizhnik-Zamolodchikov (KZ) equation, which features the ${\cal R}$-matrix. Matching with the Nekrasov function for the instanton counting on the ALE space is worked out explicitly. We also present an important application of the DIM formalism to the study of $6d$ gauge theories described by the double elliptic integrable systems. We show that the modular and periodicity properties of the gauge theories are neatly explained by the network matrix models providing solutions to the elliptic $(q,t)$-KZ equations.

[ { "created": "Thu, 21 Dec 2017 15:30:49 GMT", "version": "v1" }, { "created": "Tue, 20 Mar 2018 08:15:29 GMT", "version": "v2" } ]

2018-04-10

[ [ "Awata", "H.", "" ], [ "Kanno", "H.", "" ], [ "Mironov", "A.", "" ], [ "Morozov", "A.", "" ], [ "Suetake", "K.", "" ], [ "Zenkevich", "Y.", "" ] ]

We describe the general strategy for lifting the Wess-Zumino-Witten model from the level of one-loop Kac-Moody $U_q(\widehat{\mathfrak{g}})_k$ to generic quantum toroidal algebras. A nearly exhaustive presentation is given for the two series $U_{q,t}(\widehat{\widehat{\mathfrak{gl}}}_1)$ and $U_{q,t}(\widehat{\widehat{\mathfrak{gl}}}_n)$, when screenings do not exist and thus all the correlators are purely algebraic, i.e. do not include additional hypergeometric type integrations/summations. Generalizing the construction of the intertwiner (refined topological vertex) of the Ding-Iohara-Miki (DIM) algebra, we obtain the intertwining operators of the Fock representations of the quantum toroidal algebra of type $A_n$. The correlation functions of these operators satisfy the $(q,t)$-Knizhnik-Zamolodchikov (KZ) equation, which features the ${\cal R}$-matrix. Matching with the Nekrasov function for the instanton counting on the ALE space is worked out explicitly. We also present an important application of the DIM formalism to the study of $6d$ gauge theories described by the double elliptic integrable systems. We show that the modular and periodicity properties of the gauge theories are neatly explained by the network matrix models providing solutions to the elliptic $(q,t)$-KZ equations.

7.006281

7.039437

9.122437

7.13377

7.391616

7.541509

7.622536

6.881129

7.108596

10.044862

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7.637243

6.989827

6.99453

6.983902

7.184361

6.920329

7.004884

7.396692

7.015471

0709.3791

Hiroyuki Abe

Hiroyuki Abe, Yutaka Sakamura

Moduli stabilization in 5D gauged supergravity with universal hypermultiplet and boundary superpotentials

25 pages, 2 figures

Nucl.Phys.B796:224-245,2008

10.1016/j.nuclphysb.2007.12.009

YITP-07-57, OU-HET 586/2007

hep-th hep-ph

null

We study a four-dimensional effective theory of the five-dimensional (5D) gauged supergravity with a universal hypermultiplet and perturbative superpotential terms at the orbifold fixed points. Among eight independent isometries of the scalar manifold, we focus on three directions for gauging by the graviphoton. The class of models we consider includes the 5D heterotic M-theory and the supersymmetric Randall-Sundrum model as special limits of the gauging parameters. We analyze the vacuum structure of such models, especially the nature of moduli stabilization, from the viewpoint of the effective theory. We also discuss the uplifting of supersymmetric anti-de Sitter vacua.

[ { "created": "Mon, 24 Sep 2007 15:20:12 GMT", "version": "v1" } ]

2008-11-26

[ [ "Abe", "Hiroyuki", "" ], [ "Sakamura", "Yutaka", "" ] ]

We study a four-dimensional effective theory of the five-dimensional (5D) gauged supergravity with a universal hypermultiplet and perturbative superpotential terms at the orbifold fixed points. Among eight independent isometries of the scalar manifold, we focus on three directions for gauging by the graviphoton. The class of models we consider includes the 5D heterotic M-theory and the supersymmetric Randall-Sundrum model as special limits of the gauging parameters. We analyze the vacuum structure of such models, especially the nature of moduli stabilization, from the viewpoint of the effective theory. We also discuss the uplifting of supersymmetric anti-de Sitter vacua.

6.98795

5.921066

7.660915

5.708596

5.442864

5.864564

5.215109

5.808382

5.772446

8.196892

6.052743

6.542427

7.058152

6.801419

6.510917

6.420545

6.612861

6.595068

6.646534

7.272687

6.798861

hep-th/0701241

Kazuya Koyama

Kazuya Koyama, Andrew Mennim, V.A. Rubakov, David Wands and Takashi Hiramatsu

Primordial perturbations from slow-roll inflation on a brane

23 pages, 10 figures

JCAP 0704:001,2007

10.1088/1475-7516/2007/04/001

null

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

null

In this paper we quantise scalar perturbations in a Randall-Sundrum-type model of inflation where the inflaton field is confined to a single brane embedded in five-dimensional anti-de Sitter space-time. In the high energy regime, small-scale inflaton fluctuations are strongly coupled to metric perturbations in the bulk and gravitational back-reaction has a dramatic effect on the behaviour of inflaton perturbations on sub-horizon scales. This is in contrast to the standard four-dimensional result where gravitational back-reaction can be neglected on small scales. Nevertheless, this does not give rise to significant particle production, and the correction to the power spectrum of the curvature perturbations on super-horizon scales is shown to be suppressed by a slow-roll parameter. We calculate the complete first order slow-roll corrections to the spectrum of primordial curvature perturbations.

[ { "created": "Fri, 26 Jan 2007 14:23:26 GMT", "version": "v1" } ]

2010-10-27

[ [ "Koyama", "Kazuya", "" ], [ "Mennim", "Andrew", "" ], [ "Rubakov", "V. A.", "" ], [ "Wands", "David", "" ], [ "Hiramatsu", "Takashi", "" ] ]

In this paper we quantise scalar perturbations in a Randall-Sundrum-type model of inflation where the inflaton field is confined to a single brane embedded in five-dimensional anti-de Sitter space-time. In the high energy regime, small-scale inflaton fluctuations are strongly coupled to metric perturbations in the bulk and gravitational back-reaction has a dramatic effect on the behaviour of inflaton perturbations on sub-horizon scales. This is in contrast to the standard four-dimensional result where gravitational back-reaction can be neglected on small scales. Nevertheless, this does not give rise to significant particle production, and the correction to the power spectrum of the curvature perturbations on super-horizon scales is shown to be suppressed by a slow-roll parameter. We calculate the complete first order slow-roll corrections to the spectrum of primordial curvature perturbations.

5.64387

5.394833

5.251948

5.02666

5.281019

5.627165

5.311885

5.044785

5.148913

5.162093

5.299428

5.249786

5.026879

5.192937

5.214926

5.16937

5.110047

5.14035

5.1464

5.132506

5.236598

0801.3851

Zhong Chao Wu

Commutativity of Substitution and Variation in Actions of Quantum Field Theory

11 pages

Phys.Rev.D80:105001,2009

10.1103/PhysRevD.80.105001

ZJUT-08-01

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

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

There exists a paradox in quantum field theory: substituting a field configuration which solves a subset of the field equations into the action and varying it is not necessarily equivalent to substituting that configuration into the remaining field equations. We take the $S^4$ and Freund-Rubin-like instantons as two examples to clarify the paradox. One must match the specialized configuration field variables with the corresponding boundary conditions by adding appropriate Legendre terms to the action. Some comments are made regarding exceptional degenerate cases.

[ { "created": "Fri, 25 Jan 2008 20:09:17 GMT", "version": "v1" }, { "created": "Sun, 27 Jan 2008 19:24:40 GMT", "version": "v2" }, { "created": "Wed, 11 Nov 2009 21:56:40 GMT", "version": "v3" } ]

2009-11-11

[ [ "Wu", "Zhong Chao", "" ] ]

There exists a paradox in quantum field theory: substituting a field configuration which solves a subset of the field equations into the action and varying it is not necessarily equivalent to substituting that configuration into the remaining field equations. We take the $S^4$ and Freund-Rubin-like instantons as two examples to clarify the paradox. One must match the specialized configuration field variables with the corresponding boundary conditions by adding appropriate Legendre terms to the action. Some comments are made regarding exceptional degenerate cases.

19.482832

18.882355

18.655958

18.225784

19.153534

19.203329

19.535975

18.4589

16.871525

19.149849

15.981384

16.614496

17.75843

16.434429

16.807373

16.923044

17.763517

17.281105

16.437292

18.072325

16.825848

hep-th/9512213

Nobuyuki Sakai

Nobuyuki Sakai, Yoonbai Kim and Kei-ichi Maeda

Bubbles with an O(3) Symmetric Scalar Field in Curved Spacetime

3 pages, latex, uuencoded postscript figures; talk given at 7th Marcel Grossmann Meeting on General Relativity, Stanford University, July 24-29, 1994

null

WU-AP/41/95

hep-th astro-ph gr-qc

null

We study the first-order phase transition in a model of scalar field with $O(3)$ symmetry coupled to gravity, and, in high temperature limit, discuss the existence of new bubble solution with a global monopole at the center of the bubble.

[ { "created": "Thu, 28 Dec 1995 19:46:36 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sakai", "Nobuyuki", "" ], [ "Kim", "Yoonbai", "" ], [ "Maeda", "Kei-ichi", "" ] ]

We study the first-order phase transition in a model of scalar field with $O(3)$ symmetry coupled to gravity, and, in high temperature limit, discuss the existence of new bubble solution with a global monopole at the center of the bubble.

12.058812

9.193723

8.312263

7.675429

8.583689

7.687355

8.642726

7.842941

9.097685

8.328502

8.989137

9.585082

9.74278

9.420422

9.730757

9.608786

9.677627

9.198248

9.889462

9.424493

9.169881

hep-th/0604108

Michael McGuigan

Cosmological Constant Seesaw in String/M-Theory

25 pages, 0 figures

null

hep-th

null

In this paper we extend the Cosmological Constant Seesaw treatment of hep-th/0602112 to String/M-Theory where the cosmological constant is finite. We discuss how transitions between different $\lambda$, one of Planckian vacuum energy, can give rise to a large $M_{Pl}^4$ denominator in the Cosmological Constant Seesaw relation discussed by Banks, Motl and Carroll. We apply these ideas to 2d/3d String/M-Theory and show how the existence of a large N dual fermionic theory makes the demonstration of a transition between different $\lambda$ relatively straight forward. We also consider 2d/3d Heterotic String/M-Theory cosmology, a theory for which the large N dual is unknown. The minisuperspace associated to these models is 26/27 dimensional for the SO(24) theory and 10/11 dimensional for the $SO(8) \times E_8$ theory and consists of the $T$ fields as well as the dilaton and metric. 2d Heterotic String Quantum Cosmology is similar to critical string dynamics except for the inclusion of the 2d gauge fields. These 2d gauge fields have an important effect on the vacuum energy and on transitions between different $\lambda$ through the effects of Wilson lines. Finally we discuss the extension to existing higher dimensional string cosmologies possessing large N duals.

[ { "created": "Fri, 14 Apr 2006 22:44:12 GMT", "version": "v1" } ]

2007-05-23

[ [ "McGuigan", "Michael", "" ] ]

In this paper we extend the Cosmological Constant Seesaw treatment of hep-th/0602112 to String/M-Theory where the cosmological constant is finite. We discuss how transitions between different $\lambda$, one of Planckian vacuum energy, can give rise to a large $M_{Pl}^4$ denominator in the Cosmological Constant Seesaw relation discussed by Banks, Motl and Carroll. We apply these ideas to 2d/3d String/M-Theory and show how the existence of a large N dual fermionic theory makes the demonstration of a transition between different $\lambda$ relatively straight forward. We also consider 2d/3d Heterotic String/M-Theory cosmology, a theory for which the large N dual is unknown. The minisuperspace associated to these models is 26/27 dimensional for the SO(24) theory and 10/11 dimensional for the $SO(8) \times E_8$ theory and consists of the $T$ fields as well as the dilaton and metric. 2d Heterotic String Quantum Cosmology is similar to critical string dynamics except for the inclusion of the 2d gauge fields. These 2d gauge fields have an important effect on the vacuum energy and on transitions between different $\lambda$ through the effects of Wilson lines. Finally we discuss the extension to existing higher dimensional string cosmologies possessing large N duals.

11.153634

11.913774

11.740713

11.25479

11.999803

11.803485

11.354151

11.032682

11.111183

12.711774

10.634208

11.132048

11.117264

10.62854

10.895267

10.858335

10.99896

10.745821

10.993829

11.143905

10.821154

0710.0388

Alessandro Fabbri

R. Balbinot, A. Fabbri, S. Farese, R. Parentani

Hawking radiation from extremal and non-extremal black holes

18 pages, latex

Phys.Rev.D76:124010,2007

10.1103/PhysRevD.76.124010

null

hep-th gr-qc

null

The relationship between Hawking radiation emitted by non extremal and extremal Reissner Nordstrom black holes is critically analyzed. A careful study of a series of regular collapsing geometries reveals that the stress energy tensor stays regular in the extremal limit and is smoothly connected to that of non extremal black holes. The unexpected feature is that the late time transients which played little role in the non extremal case are necessary to preserve the well defined character of the flux in the extremal case. The known singular behavior of the static energy density of extremal black holes is recovered from our series by neglecting these transients, when performing what turns out to be an illegitimate late time limit. Although our results are derived in two dimensional settings, we explain why they should also apply to higher dimensional black holes.

[ { "created": "Mon, 1 Oct 2007 21:27:23 GMT", "version": "v1" } ]

2008-11-26

[ [ "Balbinot", "R.", "" ], [ "Fabbri", "A.", "" ], [ "Farese", "S.", "" ], [ "Parentani", "R.", "" ] ]

The relationship between Hawking radiation emitted by non extremal and extremal Reissner Nordstrom black holes is critically analyzed. A careful study of a series of regular collapsing geometries reveals that the stress energy tensor stays regular in the extremal limit and is smoothly connected to that of non extremal black holes. The unexpected feature is that the late time transients which played little role in the non extremal case are necessary to preserve the well defined character of the flux in the extremal case. The known singular behavior of the static energy density of extremal black holes is recovered from our series by neglecting these transients, when performing what turns out to be an illegitimate late time limit. Although our results are derived in two dimensional settings, we explain why they should also apply to higher dimensional black holes.

11.904834

11.132954

11.598193

11.255302

12.40672

11.475253

12.899001

11.225897

11.169332

11.463153

11.682503

11.483564

11.475293

11.409139

11.525766

11.953155

11.685433

11.47317

11.287275

11.110513

11.442261

1306.2512

Alessandro Sfondrini

Riccardo Borsato, Olof Ohlsson Sax, Alessandro Sfondrini, Bogdan Stefanski, Alessandro Torrielli

Dressing phases of AdS3/CFT2

29 pages, 4 figures; v2: note added, minor changes

null

10.1103/PhysRevD.88.066004

DMUS-MP-13/14; ITP-UU-13/14; SPIN-13/10

hep-th

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

We determine the all-loop dressing phases of the AdS3/CFT2 integrable system related to type IIB string theory on AdS3 x S3 x T4 by solving the recently found crossing relations and studying their singularity structure. The two resulting phases present a novel structure with respect to the ones appearing in AdS5/CFT4 and AdS4/CFT3. In the strongly-coupled regime, their leading order reduces to the universal Arutyunov-Frolov-Staudacher phase as expected. We also compute their sub-leading order and compare it with recent one-loop perturbative results, and comment on their weak-coupling expansion.

[ { "created": "Tue, 11 Jun 2013 13:01:32 GMT", "version": "v1" }, { "created": "Thu, 27 Jun 2013 12:06:50 GMT", "version": "v2" } ]

2013-09-18

[ [ "Borsato", "Riccardo", "" ], [ "Sax", "Olof Ohlsson", "" ], [ "Sfondrini", "Alessandro", "" ], [ "Stefanski", "Bogdan", "" ], [ "Torrielli", "Alessandro", "" ] ]

We determine the all-loop dressing phases of the AdS3/CFT2 integrable system related to type IIB string theory on AdS3 x S3 x T4 by solving the recently found crossing relations and studying their singularity structure. The two resulting phases present a novel structure with respect to the ones appearing in AdS5/CFT4 and AdS4/CFT3. In the strongly-coupled regime, their leading order reduces to the universal Arutyunov-Frolov-Staudacher phase as expected. We also compute their sub-leading order and compare it with recent one-loop perturbative results, and comment on their weak-coupling expansion.

6.749335

5.975277

8.306699

6.080443

5.98649

6.063922

6.268939

5.747489

5.968965

10.757801

6.379811

5.853548

7.421642

6.117994

6.072161

5.936224

6.087931

6.035512

6.101721

7.115991

6.011006

2012.02355

Nava Gaddam

Nava Gaddam and Nico Groenenboom

Soft graviton exchange and the information paradox

54 pages + Appendices; v3: typos corrected, references added; v4: corrected eqns 4.81 and 4.83 v5: Published version

Phys. Rev. D 109, 026007 (2024)

10.1103/PhysRevD.109.026007

null

hep-th gr-qc

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

We show that there is a remarkable phase in quantum gravity where gravitational scattering amplitudes mediated by virtual gravitons can be calculated explicitly in effective field theory, when the impact parameter $b$ satisfies $L_{Pl}\ll b \lesssim R_S$, with $R_S$ being the Schwarzschild radius. This phase captures collisions with energies satisfying $\sqrt{s}\gg \gamma M_{Pl}$ (with $\gamma \sim M_{Pl}/M_{BH}$) near the horizon. We call this the black hole eikonal phase, in contrast to its flat space analogue where collisions are trans-Planckian. Hawking's geometric optics approximation neglects gravitational interactions near the horizon, and results in thermal occupation numbers in the Bogoliubov coefficients. We show that these interactions are mediated by graviton exchange in $2 \rightarrow 2$ scattering near the horizon, and explicitly calculate the S-matrix non-perturbatively in $M_{Pl}/M_{BH}$. This involves a re-summation of infinitely many ladder diagrams near the horizon, all mediated by virtual soft gravitons. The S-matrix turns out to be a pure phase upon this re-summation and is agnostic of Planckian physics and any specific ultraviolet completion. In contrast to the flat space eikonal limit, the black hole eikonal phase captures collisions of extremely low energy near the horizon.

[ { "created": "Fri, 4 Dec 2020 01:17:45 GMT", "version": "v1" }, { "created": "Mon, 26 Apr 2021 21:18:52 GMT", "version": "v2" }, { "created": "Thu, 21 Jul 2022 10:24:01 GMT", "version": "v3" }, { "created": "Fri, 22 Jul 2022 10:27:13 GMT", "version": "v4" }, { "created": "Wed, 17 Jan 2024 15:35:32 GMT", "version": "v5" } ]

2024-01-18

[ [ "Gaddam", "Nava", "" ], [ "Groenenboom", "Nico", "" ] ]

We show that there is a remarkable phase in quantum gravity where gravitational scattering amplitudes mediated by virtual gravitons can be calculated explicitly in effective field theory, when the impact parameter $b$ satisfies $L_{Pl}\ll b \lesssim R_S$, with $R_S$ being the Schwarzschild radius. This phase captures collisions with energies satisfying $\sqrt{s}\gg \gamma M_{Pl}$ (with $\gamma \sim M_{Pl}/M_{BH}$) near the horizon. We call this the black hole eikonal phase, in contrast to its flat space analogue where collisions are trans-Planckian. Hawking's geometric optics approximation neglects gravitational interactions near the horizon, and results in thermal occupation numbers in the Bogoliubov coefficients. We show that these interactions are mediated by graviton exchange in $2 \rightarrow 2$ scattering near the horizon, and explicitly calculate the S-matrix non-perturbatively in $M_{Pl}/M_{BH}$. This involves a re-summation of infinitely many ladder diagrams near the horizon, all mediated by virtual soft gravitons. The S-matrix turns out to be a pure phase upon this re-summation and is agnostic of Planckian physics and any specific ultraviolet completion. In contrast to the flat space eikonal limit, the black hole eikonal phase captures collisions of extremely low energy near the horizon.

7.270247

7.477151

7.890766

7.493956

6.957698

7.380099

7.716536

7.192657

7.17962

8.267923

7.542088

7.096027

7.359767

7.190424

7.030117

7.306748

7.265619

7.251374

7.260841

7.416934

7.277839

1512.09106

Jay Armas

Jay Armas, Niels A. Obers and Marco Sanchioni

Gravitational Tension, Spacetime Pressure and Black Hole Volume

v3: 42pp, improved discussion in section 6, to be published in JHEP

JHEP 1609 (2016) 124

10.1007/JHEP09(2016)124

null

hep-th gr-qc

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

We study the first law of black hole thermodynamics in the presence of surrounding gravitational fields and argue that variations of these fields are naturally incorporated in the first law by defining gravitational tension or gravitational binding energy. We demonstrate that this notion can also be applied in Anti-de Sitter spacetime, in which the surrounding gravitational field is sourced by a cosmological fluid, therefore showing that spacetime volume and gravitational tension encode the same physics as spacetime pressure and black hole volume. We furthermore show that it is possible to introduce a definition of spacetime pressure and black hole volume for any spacetime with characteristic length scales which does not necessarily require a cosmological constant sourcing Einstein equations. However, we show that black hole volume is non-universal in the flat spacetime limit, questioning its significance. We illustrate these ideas by studying the resulting black hole volume of Kaluza-Klein black holes and of a toy model for a black hole binary system in five spacetime dimensions (the black saturn solution) as well as of several novel perturbative black hole solutions. These include the higher-dimensional Kerr-Newman solution in Anti-de Sitter spacetime as well as other black holes in plane wave and Lifshitz spacetimes.

[ { "created": "Wed, 30 Dec 2015 20:35:13 GMT", "version": "v1" }, { "created": "Fri, 18 Mar 2016 22:17:11 GMT", "version": "v2" }, { "created": "Thu, 1 Sep 2016 19:36:58 GMT", "version": "v3" } ]

2016-10-03

[ [ "Armas", "Jay", "" ], [ "Obers", "Niels A.", "" ], [ "Sanchioni", "Marco", "" ] ]

We study the first law of black hole thermodynamics in the presence of surrounding gravitational fields and argue that variations of these fields are naturally incorporated in the first law by defining gravitational tension or gravitational binding energy. We demonstrate that this notion can also be applied in Anti-de Sitter spacetime, in which the surrounding gravitational field is sourced by a cosmological fluid, therefore showing that spacetime volume and gravitational tension encode the same physics as spacetime pressure and black hole volume. We furthermore show that it is possible to introduce a definition of spacetime pressure and black hole volume for any spacetime with characteristic length scales which does not necessarily require a cosmological constant sourcing Einstein equations. However, we show that black hole volume is non-universal in the flat spacetime limit, questioning its significance. We illustrate these ideas by studying the resulting black hole volume of Kaluza-Klein black holes and of a toy model for a black hole binary system in five spacetime dimensions (the black saturn solution) as well as of several novel perturbative black hole solutions. These include the higher-dimensional Kerr-Newman solution in Anti-de Sitter spacetime as well as other black holes in plane wave and Lifshitz spacetimes.

11.650301

12.232371

12.441926

11.130909

11.604405

12.030523

11.575962

11.029739

11.640359

12.488952

11.053432

11.337265

11.152881

11.177153

11.690224

11.16377

11.566839

11.25552

10.786643

11.440158

11.212758

hep-th/9811230

Nikita Nekrasov

S.Gubser, N. Nekrasov, S. L. Shatashvili

Generalized Conifolds and 4d N=1 SCFT

harvmac 27pp; v2. refs added, typos corrected, abstract renormalized, v3. more of that sort, version to appear in JHEP

JHEP 9905:003,1999

10.1088/1126-6708/1999/05/003

HUTP-98/A051, ITEP-TH-64/98, YCTP-P29/98

hep-th

null

This paper lays groundwork for the detailed study of the non-trivial renormalization group flow connecting supersymmetric fixed points in four dimensions using string theory on AdS spaces. Specifically, we consider D3-branes placed at singularities of Calabi-Yau threefolds which generalize the conifold singularity and have an ADE classification. The $\mathcal{N}=1$ superconformal theories dictating their low-energy dynamics are infrared fixed points arising from deforming the corresponding ADE $\mathcal{N}=2$ superconformal field theories by mass terms for adjoint chiral fields. We probe the geometry with a single $D3$-brane and discuss the near-horizon supergravity solution for a large number $N$ of coincident $D3$-branes.

[ { "created": "Fri, 27 Nov 1998 22:10:19 GMT", "version": "v1" }, { "created": "Sat, 6 Feb 1999 23:19:41 GMT", "version": "v2" }, { "created": "Sun, 9 May 1999 16:38:51 GMT", "version": "v3" } ]

2017-09-07

[ [ "Gubser", "S.", "" ], [ "Nekrasov", "N.", "" ], [ "Shatashvili", "S. L.", "" ] ]

This paper lays groundwork for the detailed study of the non-trivial renormalization group flow connecting supersymmetric fixed points in four dimensions using string theory on AdS spaces. Specifically, we consider D3-branes placed at singularities of Calabi-Yau threefolds which generalize the conifold singularity and have an ADE classification. The $\mathcal{N}=1$ superconformal theories dictating their low-energy dynamics are infrared fixed points arising from deforming the corresponding ADE $\mathcal{N}=2$ superconformal field theories by mass terms for adjoint chiral fields. We probe the geometry with a single $D3$-brane and discuss the near-horizon supergravity solution for a large number $N$ of coincident $D3$-branes.

6.175877

5.903443

7.161481

5.926555

6.291405

5.732978

5.819073

5.972571

5.856729

7.550638

5.826824

5.922941

6.729893

5.966796

6.162436

5.910929

5.82353

6.120194

5.949518

6.769507

6.097575

1201.2448

Makoto Sakamoto

Hidden quantum-mechanical supersymmetry in extra dimensions

This review was given at 13th Regional Conference on Mathematical Physics, Antalya, Turkey, October 27-31, 2010

null

KOBE-TH-12-02

hep-th

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

We study higher dimensional field theories with extra dimensions from a 4d spectrum point of view. It is shown that 4d mass spectra of spinor, gauge and gravity field theories are governed by quantum-mechanical supersymmetry. The 4d massless modes turn out to correspond to zero energy vacuum states of the supersymmetry. Allowed boundary conditions on extra dimensions compatible with the supersymmetry are found to be severely restricted.

[ { "created": "Thu, 12 Jan 2012 00:20:19 GMT", "version": "v1" } ]

2012-01-13

[ [ "Sakamoto", "Makoto", "" ] ]

We study higher dimensional field theories with extra dimensions from a 4d spectrum point of view. It is shown that 4d mass spectra of spinor, gauge and gravity field theories are governed by quantum-mechanical supersymmetry. The 4d massless modes turn out to correspond to zero energy vacuum states of the supersymmetry. Allowed boundary conditions on extra dimensions compatible with the supersymmetry are found to be severely restricted.

11.927135

10.12999

10.581347

9.411119

10.886395

10.177617

10.084015

9.693868

9.893019

11.194044

9.65044

10.422587

10.582298

10.187013

9.829427

10.629499

9.660151

9.89998

9.704718

10.76985

10.26366

hep-th/0310212

Wung-Hong Huang

Thermal Instability of Giant Graviton in Matrix Model on PP-wave Background

Latex, 8 pages, typos corrected, mention the elliptic deformation of giant graviton

Phys.Rev. D69 (2004) 067701

10.1103/PhysRevD.69.067701

null

hep-th

null

The thermal instability of the giant graviton is investigated within the BMN matrix model. We calculate the one-loop thermal correction of the quantum fluctuation around the trivial vacuum and giant graviton respectively. From the exact formula of the free energy we see that at low temperature the giant graviton is unstable and will dissolve into vacuum fluctuation. However, at sufficient high temperature the trivial vacuum fluctuation will condense to form the giant graviton configuration. The transition temperature of the giant graviton is determined in our calculation.

[ { "created": "Thu, 23 Oct 2003 07:48:27 GMT", "version": "v1" }, { "created": "Tue, 2 Dec 2003 13:07:06 GMT", "version": "v2" }, { "created": "Tue, 23 Dec 2003 10:25:32 GMT", "version": "v3" } ]

2009-11-10

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

The thermal instability of the giant graviton is investigated within the BMN matrix model. We calculate the one-loop thermal correction of the quantum fluctuation around the trivial vacuum and giant graviton respectively. From the exact formula of the free energy we see that at low temperature the giant graviton is unstable and will dissolve into vacuum fluctuation. However, at sufficient high temperature the trivial vacuum fluctuation will condense to form the giant graviton configuration. The transition temperature of the giant graviton is determined in our calculation.

8.812171

7.454524

8.754798

7.504224

7.641349

7.881205

7.207306

7.395667

7.571075

9.430662

7.431937

7.915934

8.392019

7.989806

8.250304

7.760441

7.926215

8.516947

7.902685

8.896648

7.784719

hep-th/9910216

Peter Mayr

P. Mayr

Non-perturbative N=1 strings from geometric singularities

LaTex, 11 pp

Class.Quant.Grav.17:1205-1214,2000

10.1088/0264-9381/17/5/329

CERN-TH/99-327

hep-th

null

The study of curved D-brane geometries in type II strings implies a general relation between local singularities $\cx W$ of Calabi-Yau manifolds and gravity free supersymmetric QFT's. The minimal supersymmetric case is described by F-theory compactifications on $\cx W$ and can be used as a starting point to define minimal supersymmetric heterotic string compactifications on compact Calabi-Yau manifolds with holomorphic, stable gauge backgrounds. The geometric construction generalizes to non-perturbative vacua with five-branes and provides a framework to study non-perturbative dynamics of the heterotic theory.

[ { "created": "Wed, 27 Oct 1999 09:48:52 GMT", "version": "v1" } ]

2011-04-15

[ [ "Mayr", "P.", "" ] ]

The study of curved D-brane geometries in type II strings implies a general relation between local singularities $\cx W$ of Calabi-Yau manifolds and gravity free supersymmetric QFT's. The minimal supersymmetric case is described by F-theory compactifications on $\cx W$ and can be used as a starting point to define minimal supersymmetric heterotic string compactifications on compact Calabi-Yau manifolds with holomorphic, stable gauge backgrounds. The geometric construction generalizes to non-perturbative vacua with five-branes and provides a framework to study non-perturbative dynamics of the heterotic theory.

13.391862

11.678

15.564049

11.368349

11.489469

11.865335

11.062897

12.435953

10.491768

15.64656

11.941175

12.246821

14.095037

12.571399

11.723603

11.938457

11.948975

12.232866

13.021486

13.575715

12.311818

hep-th/0309057

Emilian Dudas

E. Dudas, J. Mourad and C. Timirgaziu

On cosmologically induced hierarchies in string theory

12 pages, LaTeX, interpretation of the solution clarified, typos corrected, references added

JCAP 0403 (2004) 005

10.1088/1475-7516/2004/03/005

CPHT RR 042.0703, LPT-ORSAY 03-57

hep-th

null

We propose, within a perturbative string theory example, a cosmological way to generate a large hierarchy between the observed Planck mass and the fundamental string scale. Time evolution results in three large space dimensions, one additional dimension transverse to our world and five small internal dimensions with a very slow time evolution. The evolution of the string coupling and internal space generate a large Planck mass. However due to an exact compensation between the time evolution of the internal space and that of the string coupling, the gauge and Yukawa couplings on our Universe are time independent.

[ { "created": "Thu, 4 Sep 2003 16:52:37 GMT", "version": "v1" }, { "created": "Fri, 12 Sep 2003 16:12:46 GMT", "version": "v2" } ]

2009-11-10

[ [ "Dudas", "E.", "" ], [ "Mourad", "J.", "" ], [ "Timirgaziu", "C.", "" ] ]

We propose, within a perturbative string theory example, a cosmological way to generate a large hierarchy between the observed Planck mass and the fundamental string scale. Time evolution results in three large space dimensions, one additional dimension transverse to our world and five small internal dimensions with a very slow time evolution. The evolution of the string coupling and internal space generate a large Planck mass. However due to an exact compensation between the time evolution of the internal space and that of the string coupling, the gauge and Yukawa couplings on our Universe are time independent.

13.082996

12.571186

12.590014

12.129613

14.610146

13.208539

13.719018

13.171877

12.312466

12.827918

12.80634

12.646361

12.396035

12.043817

12.401312

12.890617

11.932436

11.95574

11.923521

12.448209

12.419432

0812.4607

Orfeu Bertolami

Orfeu Bertolami and Carlos A. D. Zarro

Stability Conditions For a Noncommutative Scalar Field Coupled to Gravity

12 pages. Version to match the one to appear in Physics Letters B

Phys.Lett.B673:83-89,2009

10.1016/j.physletb.2009.02.001

DF/IST-8.2008

hep-th

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

We consider a noncommutative scalar field with a covariantly constant noncommutative parameter in a curved space-time background. For a potential as a noncommutative polynomial it is shown that the stability conditions are unaffected by the noncommutativity, a result that is valid irrespective whether space-time has horizons or not.

[ { "created": "Thu, 25 Dec 2008 13:24:12 GMT", "version": "v1" }, { "created": "Thu, 19 Feb 2009 13:59:06 GMT", "version": "v2" } ]

2011-08-02

[ [ "Bertolami", "Orfeu", "" ], [ "Zarro", "Carlos A. D.", "" ] ]

We consider a noncommutative scalar field with a covariantly constant noncommutative parameter in a curved space-time background. For a potential as a noncommutative polynomial it is shown that the stability conditions are unaffected by the noncommutativity, a result that is valid irrespective whether space-time has horizons or not.

10.138468

7.811916

8.685709

8.124296

7.966706

8.171132

8.155342

7.580213

8.447634

8.887069

7.765864

7.928892

8.694399

8.299113

8.3315

8.37483

8.319354

8.439052

8.233014

8.47156

8.115767

hep-th/9510109

Jorge Russo

A. Fabbri and J.G. Russo

Soluble models in 2d dilaton gravity

15 pages, harvmac, 3 figures

Phys.Rev.D53:6995-7002,1996

10.1103/PhysRevD.53.6995

CERN-TH/95-267, SISSA-ISAS/118/95/EP

hep-th

null

A one-parameter class of simple models of two-dimensional dilaton gravity, which can be exactly solved including back-reaction effects, is investigated at both classical and quantum levels. This family contains the RST model as a special case, and it continuously interpolates between models having a flat (Rindler) geometry and a constant curvature metric with a non-trivial dilaton field. The processes of formation of black hole singularities from collapsing matter and Hawking evaporation are considered in detail. Various physical aspects of these geometries are discussed, including the cosmological interpretation.

[ { "created": "Mon, 16 Oct 1995 17:11:48 GMT", "version": "v1" } ]

2011-09-09

[ [ "Fabbri", "A.", "" ], [ "Russo", "J. G.", "" ] ]

A one-parameter class of simple models of two-dimensional dilaton gravity, which can be exactly solved including back-reaction effects, is investigated at both classical and quantum levels. This family contains the RST model as a special case, and it continuously interpolates between models having a flat (Rindler) geometry and a constant curvature metric with a non-trivial dilaton field. The processes of formation of black hole singularities from collapsing matter and Hawking evaporation are considered in detail. Various physical aspects of these geometries are discussed, including the cosmological interpretation.

9.093574

7.045518

8.682772

7.922469

8.207341

8.437768

7.730025

8.057793

7.517296

9.516162

7.948605

8.021157

8.507287

8.158964

8.151531

7.717643

7.996839

7.946958

8.204285

8.451323

8.140867

hep-th/9401003

null

G. Bonneau, G. Valent

Local heterotic geometry in holomorphic coordinates

27 pages, latex file, report number PAR/LPTHE/93-56

Class.Quant.Grav.11:1133-1154,1994

10.1088/0264-9381/11/5/004

null

hep-th

null

In the same spirit as done for N=2 and N=4 supersymmetric non-linear $\si$ models in 2 space-time dimensions by Zumino and Alvarez- Gaum\'e and Freedman, we analyse the (2,0) and (4,0) heterotic geometry in holomorphic coordinates. We study the properties of the torsion tensor and give the conditions under which (2,0) geometry is conformally equivalent to a (2,2) one. Using additional isometries, we show that it is difficult to equip a manifold with a closed torsion tensor, but for the real 4 dimensional case where we exhibit new examples. We show that, contrarily to Callan, Harvey and Strominger 's claim for real 4 dimensional manifolds, (4,0) heterotic geometry is not necessarily conformally equivalent to a (4,4) K\"ahler Ricci flat geometry. We rather prove that, whatever the real dimension be, they are special quasi Ricci flat spaces, and we exemplify our results on Eguchi-Hanson and Taub-NUT metrics with torsion.

[ { "created": "Mon, 3 Jan 1994 16:07:57 GMT", "version": "v1" }, { "created": "Mon, 10 Jan 1994 16:59:39 GMT", "version": "v2" } ]

2010-04-06

[ [ "Bonneau", "G.", "" ], [ "Valent", "G.", "" ] ]

In the same spirit as done for N=2 and N=4 supersymmetric non-linear $\si$ models in 2 space-time dimensions by Zumino and Alvarez- Gaum\'e and Freedman, we analyse the (2,0) and (4,0) heterotic geometry in holomorphic coordinates. We study the properties of the torsion tensor and give the conditions under which (2,0) geometry is conformally equivalent to a (2,2) one. Using additional isometries, we show that it is difficult to equip a manifold with a closed torsion tensor, but for the real 4 dimensional case where we exhibit new examples. We show that, contrarily to Callan, Harvey and Strominger 's claim for real 4 dimensional manifolds, (4,0) heterotic geometry is not necessarily conformally equivalent to a (4,4) K\"ahler Ricci flat geometry. We rather prove that, whatever the real dimension be, they are special quasi Ricci flat spaces, and we exemplify our results on Eguchi-Hanson and Taub-NUT metrics with torsion.

9.662787

8.60189

10.192527

8.519782

9.480629

8.667192

9.206434

9.324551

8.985849

10.825181

8.816391

8.847802

9.17277

8.679789

8.354082

8.93402

8.890103

8.830966

8.52181

9.391195

8.582385

0812.1549

Matteo Cardella Dr.

Matteo Cardella

A novel method for computing torus amplitudes for $\mathbb{Z}_{N}$ orbifolds without the unfolding technique

15 pages, 2 figures,V2: style improved, typos corrected, references added

JHEP 0905:010,2009

10.1088/1126-6708/2009/05/010

null

hep-th

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

A novel method for computing torus amplitudes in orbifold compactifications is suggested. It applies universally for every Abelian $\mathbb{Z}_{N}$ orbifold without requiring the unfolding technique. This method follows from the possibility of obtaining integrals over fundamental domains of every Hecke congruence subgroup $\Gamma_{0}[N]$ by computing contour integrals over one-dimensional curves uniformly distributed in these domains.

[ { "created": "Mon, 8 Dec 2008 20:19:20 GMT", "version": "v1" }, { "created": "Sun, 8 Mar 2009 15:25:34 GMT", "version": "v2" } ]

2010-01-15

[ [ "Cardella", "Matteo", "" ] ]

A novel method for computing torus amplitudes in orbifold compactifications is suggested. It applies universally for every Abelian $\mathbb{Z}_{N}$ orbifold without requiring the unfolding technique. This method follows from the possibility of obtaining integrals over fundamental domains of every Hecke congruence subgroup $\Gamma_{0}[N]$ by computing contour integrals over one-dimensional curves uniformly distributed in these domains.

17.701385

14.296506

18.727806

15.226183

14.74515

13.723735

13.923821

14.685405

15.153512

22.433441

14.756948

15.078857

15.736951

15.02218

14.957339

14.951568

15.117208

14.825503

14.461562

16.745619

15.102974

2003.11034

Koen Stemerdink

Chris Hull, Eric Marcus, Koen Stemerdink, Stefan Vandoren

Black holes in string theory with duality twists

Main text 48 pages. v2: minor revisions

null

10.1007/JHEP07(2020)086

null

hep-th

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

We consider 5D supersymmetric black holes in string theory compactifications that partially break supersymmetry. We compactify type IIB on $T^4$ and then further compactify on a circle with a duality twist to give Minkowski vacua preserving partial supersymmetry ($\mathcal{N}=6,4,2,0$) in five dimensions. The effective supergravity theory is given by a Scherk-Schwarz reduction with a Scherk-Schwarz supergravity potential on the moduli space, and the lift of this to string theory imposes a quantization condition on the mass parameters. In this theory, we study black holes with three charges that descend from various ten-dimensional brane configurations. For each black hole we choose the duality twist to be a transformation that preserves the solution, so that it remains a supersymmetric solution of the twisted theory with partially broken supersymmetry. We discuss the quantum corrections arising from the twist to the pure gauge and mixed gauge-gravitational Chern-Simons terms in the action and the resulting corrections to the black hole entropy.

[ { "created": "Tue, 24 Mar 2020 18:00:03 GMT", "version": "v1" }, { "created": "Tue, 16 Jun 2020 12:46:50 GMT", "version": "v2" } ]

2020-08-26

[ [ "Hull", "Chris", "" ], [ "Marcus", "Eric", "" ], [ "Stemerdink", "Koen", "" ], [ "Vandoren", "Stefan", "" ] ]

We consider 5D supersymmetric black holes in string theory compactifications that partially break supersymmetry. We compactify type IIB on $T^4$ and then further compactify on a circle with a duality twist to give Minkowski vacua preserving partial supersymmetry ($\mathcal{N}=6,4,2,0$) in five dimensions. The effective supergravity theory is given by a Scherk-Schwarz reduction with a Scherk-Schwarz supergravity potential on the moduli space, and the lift of this to string theory imposes a quantization condition on the mass parameters. In this theory, we study black holes with three charges that descend from various ten-dimensional brane configurations. For each black hole we choose the duality twist to be a transformation that preserves the solution, so that it remains a supersymmetric solution of the twisted theory with partially broken supersymmetry. We discuss the quantum corrections arising from the twist to the pure gauge and mixed gauge-gravitational Chern-Simons terms in the action and the resulting corrections to the black hole entropy.

7.720936

7.292815

8.719547

7.46807

7.648751

7.340704

7.620557

7.485391

7.144263

8.901928

7.366643

7.43358

8.293872

7.268558

7.440494

7.463654

7.215866

7.252241

7.485431

7.888805

7.27817

hep-th/0203154

Oleg Ruchayskiy

Alexey Boyarsky, Jeffrey A. Harvey, Oleg Ruchayskiy

A Toy Model of the M5-brane: Anomalies of Monopole Strings in Five Dimensions

32 pages, LaTeX

Annals Phys. 301 (2002) 1-21

10.1006/aphy.2002.6294

null

hep-th

null

We study a five-dimensional field theory which contains a monopole (string) solution with chiral fermion zero modes. This monostring solution is a close analog of the fivebrane solution of M-theory. The cancellation of normal bundle anomalies parallels that for the M-theory fivebrane, in particular, the presence of a Chern-Simons term in the low-energy effective U(1) gauge theory plays a central role. We comment on the relationship between the the microscopic analysis of the world-volume theory and the low-energy analysis and draw some cautionary lessons for M-theory.

[ { "created": "Sun, 17 Mar 2002 22:35:08 GMT", "version": "v1" } ]

2009-11-07

[ [ "Boyarsky", "Alexey", "" ], [ "Harvey", "Jeffrey A.", "" ], [ "Ruchayskiy", "Oleg", "" ] ]

We study a five-dimensional field theory which contains a monopole (string) solution with chiral fermion zero modes. This monostring solution is a close analog of the fivebrane solution of M-theory. The cancellation of normal bundle anomalies parallels that for the M-theory fivebrane, in particular, the presence of a Chern-Simons term in the low-energy effective U(1) gauge theory plays a central role. We comment on the relationship between the the microscopic analysis of the world-volume theory and the low-energy analysis and draw some cautionary lessons for M-theory.

10.84535

9.064496

10.237022

8.554869

9.509982

9.66593

9.445003

9.149756

9.424299

12.488467

9.885073

9.696056

10.664839

9.661253

9.914456

9.890548

9.704046

9.921629

9.255225

10.81503

9.776897

hep-th/0411084

Eugen Radu

Eugen Radu and D. H. Tchrakian

New axially symmetric Yang-Mills-Higgs solutions with negative cosmological constant

18 pages, 7 figures; v2: typos corrected

Phys.Rev. D71 (2005) 064002

10.1103/PhysRevD.71.064002

null

hep-th gr-qc

null

We construct numerically new axially symmetric solutions of SU(2) Yang-Mills-Higgs theory in $(3+1)$ anti-de Sitter spacetime. Two types of finite energy, regular configurations are considered: multimonopole solutions with magnetic charge $n>1$ and monopole-antimonopole pairs with zero net magnetic charge. A somewhat detailed analysis of the boundary conditions for axially symmetric solutions is presented. The properties of these solutions are investigated, with a view to compare with those on a flat spacetime background. The basic properties of the gravitating generalizations of these configurations are also discussed.

[ { "created": "Mon, 8 Nov 2004 12:43:22 GMT", "version": "v1" }, { "created": "Tue, 15 Mar 2005 17:54:45 GMT", "version": "v2" } ]

2009-11-10

[ [ "Radu", "Eugen", "" ], [ "Tchrakian", "D. H.", "" ] ]

We construct numerically new axially symmetric solutions of SU(2) Yang-Mills-Higgs theory in $(3+1)$ anti-de Sitter spacetime. Two types of finite energy, regular configurations are considered: multimonopole solutions with magnetic charge $n>1$ and monopole-antimonopole pairs with zero net magnetic charge. A somewhat detailed analysis of the boundary conditions for axially symmetric solutions is presented. The properties of these solutions are investigated, with a view to compare with those on a flat spacetime background. The basic properties of the gravitating generalizations of these configurations are also discussed.

7.142947

5.829369

6.603572

6.212812

6.143085

5.912948

6.090142

6.267356

6.192751

7.222851

5.836309

6.589937

6.857831

6.433837

6.651557

6.502132

6.464829

6.553996

6.465646

6.964066

6.52564

1505.02645

A. Bashir

M. Jamil Aslam, A. Bashir, L.X. Gutierrez-Guerrero

Local Gauge Transformation for the Quark Propagator in an SU(N) Gauge Theory

8 pages, no figures

Phys. Rev. D 93, 076001 (2016)

10.1103/PhysRevD.93.076001

null

hep-th hep-ph nucl-th

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

In an SU(N) gauge field theory, the n-point Green functions, namely, propagators and vertices, transform under the simultaneous local gauge variations of the gluon vector potential and the quark matter field in such a manner that the physical observables remain invariant. In this article, we derive this intrinsically non perturbative transformation law for the quark propagator within the system of covariant gauges. We carry out its explicit perturbative expansion till O(g_s^6) and, for some terms, till O(g_s^8). We study the implications of this transformation for the quark-anti-quark condensate, multiplicative renormalizability of the massless quark propagator, as well as its relation with the quark-gluon vertex at the one-loop order. Setting the color factors C_F=1 and C_A=0, Landau-Khalatnikov-Fradkin transformation for the abelian case of quantum electrodynamics is trivially recovered.

[ { "created": "Mon, 11 May 2015 14:46:51 GMT", "version": "v1" } ]

2016-04-06

[ [ "Aslam", "M. Jamil", "" ], [ "Bashir", "A.", "" ], [ "Gutierrez-Guerrero", "L. X.", "" ] ]

In an SU(N) gauge field theory, the n-point Green functions, namely, propagators and vertices, transform under the simultaneous local gauge variations of the gluon vector potential and the quark matter field in such a manner that the physical observables remain invariant. In this article, we derive this intrinsically non perturbative transformation law for the quark propagator within the system of covariant gauges. We carry out its explicit perturbative expansion till O(g_s^6) and, for some terms, till O(g_s^8). We study the implications of this transformation for the quark-anti-quark condensate, multiplicative renormalizability of the massless quark propagator, as well as its relation with the quark-gluon vertex at the one-loop order. Setting the color factors C_F=1 and C_A=0, Landau-Khalatnikov-Fradkin transformation for the abelian case of quantum electrodynamics is trivially recovered.

8.228029

9.755559

8.585625

8.331359

8.978473

8.924383

8.663088

8.82676

7.905267

8.283773

8.398941

7.97766

8.042567

7.910123

8.536754

8.024286

7.877524

8.091943

7.704669

7.82093

8.236245

1912.06929

Amlan Chakraborty

Taushif Ahmed, Pulak Banerjee, Amlan Chakraborty, Prasanna K. Dhani, V. Ravindran, Satyajit Seth

Infrared structure of $\mathcal{N}$ = 4 SYM and leading transcendentality principle in gauge theory

10 pages, Contribution to the 14th International Symposium on Radiative Corrections (RADCOR2019), 9-13 September 2019, Palais des Papes, Avignon, France

PoS(RADCOR2019)059

null

MPP-2019-247

hep-th hep-ph

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

We present a detailed study on the infrared structure of $\mathcal{N}=4$ SYM and its connection to QCD. Calculation of collinear splitting functions helps to understand the structure and thus one can get infrared safe cross sections. We also demonstrate the factorization property that soft plus virtual part of the cross section satisfies and through factorization, we calculate soft distribution function up to third order in perturbation theory. We show that the soft distribution function is process independent that includes operators as well as external legs. In addition to this we compare our findings against the known results in QCD through principle of maximum transcendentality (PMT). We extend our analysis further for the case of three-point form factors involving stress tensor and find that it violates the PMT while comparing with the corresponding quantity in the standard model, observed for the first time at the level of form factor.

[ { "created": "Sat, 14 Dec 2019 21:14:22 GMT", "version": "v1" } ]

2019-12-30

[ [ "Ahmed", "Taushif", "" ], [ "Banerjee", "Pulak", "" ], [ "Chakraborty", "Amlan", "" ], [ "Dhani", "Prasanna K.", "" ], [ "Ravindran", "V.", "" ], [ "Seth", "Satyajit", "" ] ]

We present a detailed study on the infrared structure of $\mathcal{N}=4$ SYM and its connection to QCD. Calculation of collinear splitting functions helps to understand the structure and thus one can get infrared safe cross sections. We also demonstrate the factorization property that soft plus virtual part of the cross section satisfies and through factorization, we calculate soft distribution function up to third order in perturbation theory. We show that the soft distribution function is process independent that includes operators as well as external legs. In addition to this we compare our findings against the known results in QCD through principle of maximum transcendentality (PMT). We extend our analysis further for the case of three-point form factors involving stress tensor and find that it violates the PMT while comparing with the corresponding quantity in the standard model, observed for the first time at the level of form factor.

14.601913

13.691569

13.912906

12.342395

13.753274

15.196795

13.441035

13.65651

12.345638

15.309115

14.369768

13.666561

14.545361

13.327473

13.465021

13.948311

14.083226

14.054374

13.42346

14.228876

13.815596

hep-th/0202191

Seungjoon Hyun

Seungjoon Hyun and Hyeonjoon Shin

Dynamical Aspects on Duality between SYM and NCOS from D2-F1 Bound State

16 pages, latex2e, 2 figures; v2 : Improved version with corrections in eq. (33) and other minor corrections. One reference added

JHEP 0204 (2002) 044

10.1088/1126-6708/2002/04/044

KIAS-P01031

hep-th

null

It has been shown that (2+1)-dimensional N=8 super Yang-Mills (SYM) theory with electric flux is related to (2+1)- dimensional noncommutative open string (NCOS) theory by `2-11' flip. This implies that the instanton process in SYM theory, which corresponds to D0-brane exchange (M-momentum transfer) between D2-branes, is dual to the KK momentum exchange in NCOS theory, which is perturbative process in nature. In order to confirm this, we obtain the effective action of probe M2-brane on the background of tilted M2-branes, which would correspond to the one-loop effective action of SYM theory with non-perturbative instanton corrections. Then we consider the dual process in NCOS theory, which is the scattering amplitude of the wound graviton off the D2-F1 bound state involving KK-momentum transfer in x^2-direction. Both of them give the same interaction terms. Remarkably they also have the same behavior on the nontrivial velocity dependence. All these strongly support the duality between those two theories with completely different nature.

[ { "created": "Wed, 27 Feb 2002 13:51:07 GMT", "version": "v1" }, { "created": "Wed, 24 Apr 2002 09:56:26 GMT", "version": "v2" } ]

2009-11-07

[ [ "Hyun", "Seungjoon", "" ], [ "Shin", "Hyeonjoon", "" ] ]

It has been shown that (2+1)-dimensional N=8 super Yang-Mills (SYM) theory with electric flux is related to (2+1)- dimensional noncommutative open string (NCOS) theory by `2-11' flip. This implies that the instanton process in SYM theory, which corresponds to D0-brane exchange (M-momentum transfer) between D2-branes, is dual to the KK momentum exchange in NCOS theory, which is perturbative process in nature. In order to confirm this, we obtain the effective action of probe M2-brane on the background of tilted M2-branes, which would correspond to the one-loop effective action of SYM theory with non-perturbative instanton corrections. Then we consider the dual process in NCOS theory, which is the scattering amplitude of the wound graviton off the D2-F1 bound state involving KK-momentum transfer in x^2-direction. Both of them give the same interaction terms. Remarkably they also have the same behavior on the nontrivial velocity dependence. All these strongly support the duality between those two theories with completely different nature.

9.805297

9.312573

10.377477

8.956777

9.473274

9.450553

9.37018

9.085481

9.288036

11.527815

9.028105

9.103992

9.749525

9.185609

9.400035

9.22263

9.257319

9.453163

9.389301

10.11711

9.236561

1907.12110

Lin Chen

Bin Chen, Lin Chen and Cheng-Yong Zhang

Surface/State correspondence and $T\overline{T}$ deformation

7 pages, 4 figures

Phys. Rev. D 101, 106011 (2020)

10.1103/PhysRevD.101.106011

null

hep-th

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

The surface/state correspondence suggests that the bulk co-dimensional two surface could be dual to the quantum state in the holographic conformal field theory(CFT). Inspired by the cutoff-AdS/$T\overline{T}$-deformed-CFT correspondence, we propose that the quantum states of two-dimensional $T\overline{T}$-deformed holographic CFT are dual to some particular surfaces in the AdS$_3$ gravity. In particular, the time slice of the cut-off surface is dual to the ground state of the $T\overline{T}$-deformed CFT. We examine our proposal by studying the entanglement entropy and quantum information metric. We find that the complexity of the ground state in the deformed theory is consistent with the one of a particular cMERA and the holographic complexity via CV or CA prescription.

[ { "created": "Sun, 28 Jul 2019 17:10:18 GMT", "version": "v1" } ]

2020-05-20

[ [ "Chen", "Bin", "" ], [ "Chen", "Lin", "" ], [ "Zhang", "Cheng-Yong", "" ] ]

The surface/state correspondence suggests that the bulk co-dimensional two surface could be dual to the quantum state in the holographic conformal field theory(CFT). Inspired by the cutoff-AdS/$T\overline{T}$-deformed-CFT correspondence, we propose that the quantum states of two-dimensional $T\overline{T}$-deformed holographic CFT are dual to some particular surfaces in the AdS$_3$ gravity. In particular, the time slice of the cut-off surface is dual to the ground state of the $T\overline{T}$-deformed CFT. We examine our proposal by studying the entanglement entropy and quantum information metric. We find that the complexity of the ground state in the deformed theory is consistent with the one of a particular cMERA and the holographic complexity via CV or CA prescription.

8.386635

6.651754

9.596116

6.958625

7.503078

6.476634

7.225363

6.486412

6.614799

10.533321

7.099825

7.324827

8.256679

7.465787

7.532113

7.47714

7.465104

7.539121

7.154698

8.326295

7.534737

hep-th/0608105

Kazuo Ghoroku

Iver Brevik and Kazuo Ghoroku

Shear Viscosity of Yang-Mills Theory in the Confinement Phase

11 pages latex, 2 figures; minor changes in the discussion, reference added. To appear in Int. J. Mod. Phys. D

Int.J.Mod.Phys.D16:1249-1260,2007

10.1142/S0218271807010766

FIT HE-06-02

hep-th gr-qc

null

In terms of a simple holographic model, we study the absorption cross section and the shear viscosity of a pure Yang-Mills field at low temperature where the system is in the confinement phase. Then we expect that the glueball states are the dominant modes in this phase. In our holographic model an infrared cutoff r_m is introduced as a parameter which fixes the lowest mass of the glueball. As a result the critical temperature of gluon confinement T_c is estimated to be about 127 MeV. For T < T_c, we find that both the absorption cross section and the shear viscosity are independent of the temperature. Their values are frozen at the values corresponding to the critical point, for 0 < T < T_c. We discuss this behavior by considering the glueball mass and its temperature dependence.

[ { "created": "Wed, 16 Aug 2006 08:37:51 GMT", "version": "v1" }, { "created": "Mon, 26 Mar 2007 09:03:22 GMT", "version": "v2" } ]

2008-11-26

[ [ "Brevik", "Iver", "" ], [ "Ghoroku", "Kazuo", "" ] ]

In terms of a simple holographic model, we study the absorption cross section and the shear viscosity of a pure Yang-Mills field at low temperature where the system is in the confinement phase. Then we expect that the glueball states are the dominant modes in this phase. In our holographic model an infrared cutoff r_m is introduced as a parameter which fixes the lowest mass of the glueball. As a result the critical temperature of gluon confinement T_c is estimated to be about 127 MeV. For T < T_c, we find that both the absorption cross section and the shear viscosity are independent of the temperature. Their values are frozen at the values corresponding to the critical point, for 0 < T < T_c. We discuss this behavior by considering the glueball mass and its temperature dependence.

8.257518

8.935798

7.687925

8.100327

8.037704

8.533783

8.621466

8.693818

7.897897

8.582807

7.972963

7.769763

7.848334

7.715883

8.112031

8.104282

7.979325

8.135191

7.611872

7.728085

7.85152

hep-th/0401072

Richard Szabo

Giovanni Landi, Fedele Lizzi and Richard J. Szabo

Matrix Quantum Mechanics and Soliton Regularization of Noncommutative Field Theory

70 pages, 4 figures; v2: References added and updated

Adv.Theor.Math.Phys.8:1-82,2004

null

DSF-36-03, HWM-03-30, EMPG-03-22

hep-th math-ph math.MP

null

We construct an approximation to field theories on the noncommutative torus based on soliton projections and partial isometries which together form a matrix algebra of functions on the sum of two circles. The matrix quantum mechanics is applied to the perturbative dynamics of scalar field theory, to tachyon dynamics in string field theory, and to the Hamiltonian dynamics of noncommutative gauge theory in two dimensions. We also describe the adiabatic dynamics of solitons on the noncommutative torus and compare various classes of noncommutative solitons on the torus and the plane.

[ { "created": "Mon, 12 Jan 2004 13:20:40 GMT", "version": "v1" }, { "created": "Tue, 20 Jan 2004 12:28:20 GMT", "version": "v2" } ]

2008-11-26

[ [ "Landi", "Giovanni", "" ], [ "Lizzi", "Fedele", "" ], [ "Szabo", "Richard J.", "" ] ]

We construct an approximation to field theories on the noncommutative torus based on soliton projections and partial isometries which together form a matrix algebra of functions on the sum of two circles. The matrix quantum mechanics is applied to the perturbative dynamics of scalar field theory, to tachyon dynamics in string field theory, and to the Hamiltonian dynamics of noncommutative gauge theory in two dimensions. We also describe the adiabatic dynamics of solitons on the noncommutative torus and compare various classes of noncommutative solitons on the torus and the plane.

9.06288

8.042873

9.046932

7.93537

7.986679

8.056719

8.373902

8.609499

8.179363

8.52019

7.822608

8.023671

8.835793

8.157661

8.271476

8.032623

8.0416

8.132583

8.259572

8.590277

8.024666

1206.2015

Bin Chen

Bin Chen, Shen-xiu Liu and Jia-ju Zhang

Thermodynamics of Black Hole Horizons and Kerr/CFT Correspondence

29 pages; match published version

null

10.1007/JHEP11(2012)017

null

hep-th

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

In this paper we investigate the thermodynamics of the inner horizon and its implication on the holographic description of the black hole. We focus on the black holes with two physical horizons. Under reasonable assumption, we prove that the first law of thermodynamics of the outer horizon always indicates that of the inner horizon. As a result, the fact that the area product being mass-independent is equivalent to the relation $T_+S_+=T_-S_-$, with $T_\pm$ and $S_\pm$ being the Hawking temperatures and the entropies of the outer and inner horizon respectively. We find that the mass-independence of area product breaks down in general Myers-Perry black holes with spacetime dimension $d\geq6$ and Kerr-AdS black holes with $d\geq4$. Moreover we discuss the implication of the first laws of the outer and inner horizons on the thermodynamics of the right- and left-moving sectors of dual CFT in Kerr/CFT correspondence. We show that once the relation $T_+S_+=T_-S_-$ is satisfied, the central charges of two sectors must be same. Furthermore from the thermodynamics relations, we read the dimensionless temperatures of microscopic CFT, which are in exact agreement with the ones obtained from hidden conformal symmetry in the low frequency scattering off the black holes, and then determine the central charges. This method works well in well-known cases in Kerr/CFT correspondence, and reproduce successfully the holographic pictures for 4D Kerr-Newman and 5D Kerr black holes. We go on to predict the central charges and temperatures of a possible holographic CFT description dual to 5D doubly rotating black ring.

[ { "created": "Sun, 10 Jun 2012 10:25:26 GMT", "version": "v1" }, { "created": "Fri, 2 Nov 2012 00:33:25 GMT", "version": "v2" } ]

2015-06-05

[ [ "Chen", "Bin", "" ], [ "Liu", "Shen-xiu", "" ], [ "Zhang", "Jia-ju", "" ] ]

In this paper we investigate the thermodynamics of the inner horizon and its implication on the holographic description of the black hole. We focus on the black holes with two physical horizons. Under reasonable assumption, we prove that the first law of thermodynamics of the outer horizon always indicates that of the inner horizon. As a result, the fact that the area product being mass-independent is equivalent to the relation $T_+S_+=T_-S_-$, with $T_\pm$ and $S_\pm$ being the Hawking temperatures and the entropies of the outer and inner horizon respectively. We find that the mass-independence of area product breaks down in general Myers-Perry black holes with spacetime dimension $d\geq6$ and Kerr-AdS black holes with $d\geq4$. Moreover we discuss the implication of the first laws of the outer and inner horizons on the thermodynamics of the right- and left-moving sectors of dual CFT in Kerr/CFT correspondence. We show that once the relation $T_+S_+=T_-S_-$ is satisfied, the central charges of two sectors must be same. Furthermore from the thermodynamics relations, we read the dimensionless temperatures of microscopic CFT, which are in exact agreement with the ones obtained from hidden conformal symmetry in the low frequency scattering off the black holes, and then determine the central charges. This method works well in well-known cases in Kerr/CFT correspondence, and reproduce successfully the holographic pictures for 4D Kerr-Newman and 5D Kerr black holes. We go on to predict the central charges and temperatures of a possible holographic CFT description dual to 5D doubly rotating black ring.

6.878576

6.822785

7.086992

6.722255

6.87897

6.346959

6.635852

6.700313

6.543664

7.342752

6.632074

6.703135

6.900363

6.699538

6.680871

6.827899

6.720345

6.67279

6.789573

7.136137

6.697146

hep-th/0510040

Miguel Vazquez-Mozo

Luis Alvarez-Gaume, Miguel A. Vazquez-Mozo

Introductory Lectures on Quantum Field Theory

112 pages, 18 figures, LaTeX, cernrep style, feynmf. v4 typos corrected and references added. v3 includes a new section on Feynman diagrams and an expanded discussion on RG fixed points

CERN Yellow Report CERN-2010-001, pp. 1-96

null

CERN-PH-TH-2009-257

hep-th gr-qc hep-ph

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

In these lectures we present a few topics in Quantum Field Theory in detail. Some of them are conceptual and some more practical. They have been selected because they appear frequently in current applications to Particle Physics and String Theory.

[ { "created": "Wed, 5 Oct 2005 14:25:14 GMT", "version": "v1" }, { "created": "Tue, 27 Jun 2006 11:48:39 GMT", "version": "v2" }, { "created": "Fri, 12 Feb 2010 15:00:49 GMT", "version": "v3" }, { "created": "Wed, 20 Feb 2013 13:51:25 GMT", "version": "v4" } ]

2013-02-21

[ [ "Alvarez-Gaume", "Luis", "" ], [ "Vazquez-Mozo", "Miguel A.", "" ] ]

In these lectures we present a few topics in Quantum Field Theory in detail. Some of them are conceptual and some more practical. They have been selected because they appear frequently in current applications to Particle Physics and String Theory.

13.145238

10.239724

11.065028

10.429381

10.118008

10.962673

9.461453

11.30346

10.354905

12.394064

9.934972

10.103002

10.239939

10.140298

9.853197

9.758718

10.022731

10.171999

9.981799

10.609695

10.211214

hep-th/9201033

Yuri Makeenko

L. Chekhov and Yu. Makeenko

The Multicritical Kontsevich-Penner Model

13 pages

Mod.Phys.Lett. A7 (1992) 1223-1236

10.1142/S0217732392003700

null

hep-th

null

We consider the hermitian matrix model with an external field entering the quadratic term $\tr(\Lambda X\Lambda X)$ and Penner--like interaction term $\alpha N(\log(1+X)-X)$. An explicit solution in the leading order in $N$ is presented. The critical behaviour is given by the second derivative of the free energy in $\alpha$ which appears to be a pure logarithm, that is a feature of $c=1$ theories. Various critical regimes are possible, some of them corresponds to critical points of the usual Penner model, but there exists an infinite set of multi-critical points which differ by values of scaling dimensions of proper conformal operators. Their correlators with the puncture operator are given in genus zero by Legendre polynomials whose argument is determined by an analog of the string equation.

[ { "created": "Thu, 16 Jan 1992 21:28:00 GMT", "version": "v1" } ]

2015-06-26

[ [ "Chekhov", "L.", "" ], [ "Makeenko", "Yu.", "" ] ]

We consider the hermitian matrix model with an external field entering the quadratic term $\tr(\Lambda X\Lambda X)$ and Penner--like interaction term $\alpha N(\log(1+X)-X)$. An explicit solution in the leading order in $N$ is presented. The critical behaviour is given by the second derivative of the free energy in $\alpha$ which appears to be a pure logarithm, that is a feature of $c=1$ theories. Various critical regimes are possible, some of them corresponds to critical points of the usual Penner model, but there exists an infinite set of multi-critical points which differ by values of scaling dimensions of proper conformal operators. Their correlators with the puncture operator are given in genus zero by Legendre polynomials whose argument is determined by an analog of the string equation.

13.640112

13.624583

15.028914

13.311982

14.159062

14.41454

14.073235

13.77249

13.384551

16.414703

13.077348

13.629872

13.540423

12.814581

13.462745

13.082042

13.303174

12.719875

12.830671

13.730618

12.985133

0808.0696

Michael Pawellek

Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results

20 pages, 5 figures

Nucl.Phys.B810:527-541,2009

10.1016/j.nuclphysb.2008.10.001

FAU-TP3-08-06

hep-th

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

We consider the semiclassical quantization of sine-Gordon solitons on the circle with periodic and anti-periodic boundary conditions. The 1-loop quantum corrections to the mass of the solitons are determined using zeta function regularization in the integral representation. We compare the semiclassical results with exact numerical calculations in the literature and find excellent agreement even outside the plain semiclassical regime.

[ { "created": "Tue, 5 Aug 2008 17:42:56 GMT", "version": "v1" } ]

2009-02-02

[ [ "Pawellek", "Michael", "" ] ]

We consider the semiclassical quantization of sine-Gordon solitons on the circle with periodic and anti-periodic boundary conditions. The 1-loop quantum corrections to the mass of the solitons are determined using zeta function regularization in the integral representation. We compare the semiclassical results with exact numerical calculations in the literature and find excellent agreement even outside the plain semiclassical regime.

8.961182

7.335356

9.11647

7.665175

7.495111

7.472183

7.146147

7.037372

7.678909

8.90962

7.606756

7.567696

8.508465

7.953897

7.836097

7.998166

7.849779

7.786123

7.903122

8.396453

8.024584

hep-th/0204014

Chengbo Guan

Z. Chang, C. B. Guan

Dynamics of Massive Scalar Fields in dS Space and the dS/CFT Correspondence

latex, 14 pages and 3 figures

Int.J.Mod.Phys. A17 (2002) 4591-4600

10.1142/S0217751X02012302

null

hep-th

null

Global geometric properties of dS space are presented explicitly in various coordinates. A Robertson-Walker like metric is deduced, which is convenient to be used in study of dynamics in dS space. Singularities of wavefunctions of massive scalar fields at boundary are demonstrated. A bulk-boundary propagator is constructed by making use of the solutions of equations of motion. The dS/CFT correspondence and the Strominger's mass bound is shown.

[ { "created": "Tue, 2 Apr 2002 06:16:54 GMT", "version": "v1" } ]

2009-11-07

[ [ "Chang", "Z.", "" ], [ "Guan", "C. B.", "" ] ]

Global geometric properties of dS space are presented explicitly in various coordinates. A Robertson-Walker like metric is deduced, which is convenient to be used in study of dynamics in dS space. Singularities of wavefunctions of massive scalar fields at boundary are demonstrated. A bulk-boundary propagator is constructed by making use of the solutions of equations of motion. The dS/CFT correspondence and the Strominger's mass bound is shown.

16.954027

17.293692

16.965607

14.412733

16.701851

15.939074

15.206041

16.046787

15.033606

14.894334

14.852736

13.748552

14.901342

13.844127

14.208723

13.572268

13.592365

13.144029

13.405905

14.64837

13.055703

hep-th/0412207

Sebastian Franco

Sebastian Franco, Yang-Hui He, Christopher Herzog and Johannes Walcher

Chaotic Cascades for D-branes on Singularities

6 pages, 1 figure. Based on the presentation of S. F. at Cargese Summer School 2004. To appear in the proceedings. V.2.: references added

null

hep-th

null

We briefly review our work on the cascading renormalization group flows for gauge theories on D-branes probing Calabi-Yau singularities. Such RG flows are sometimes chaotic and exhibit duality walls. We construct supergravity solutions dual to logarithmic flows for these theories. We make new observations about a surface of conformal theories and more complicated supergravity solutions.

[ { "created": "Fri, 17 Dec 2004 23:05:25 GMT", "version": "v1" }, { "created": "Fri, 4 Feb 2005 20:56:43 GMT", "version": "v2" } ]

2007-05-23

[ [ "Franco", "Sebastian", "" ], [ "He", "Yang-Hui", "" ], [ "Herzog", "Christopher", "" ], [ "Walcher", "Johannes", "" ] ]

We briefly review our work on the cascading renormalization group flows for gauge theories on D-branes probing Calabi-Yau singularities. Such RG flows are sometimes chaotic and exhibit duality walls. We construct supergravity solutions dual to logarithmic flows for these theories. We make new observations about a surface of conformal theories and more complicated supergravity solutions.

19.535532

16.862799

23.032164

15.346891

16.480583

17.336271

15.761312

15.304447

14.71151

23.260799

16.084904

17.296974

17.821688

15.878958

17.249996

16.681429

16.845091

15.886501

16.888273

17.690702

15.948756

2203.09709

Tatsuya Ogawa

Yota Endo, Hideki Ishihara, and Tatsuya Ogawa

Relativistic Nontopological Soliton Stars in a U(1) Gauge Higgs Model

22 pages, 32 figures, final version accepted in PRD

null

10.1103/PhysRevD.105.104041

OCU-PHYS 558, AP-GR 179, NITEP 132

hep-th gr-qc

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

We study spherically symmetric nontopological soliton stars (NTS stars) numerically in the coupled system of a complex scalar field, a U(1) gauge field, a complex Higgs scalar field, and Einstein gravity, where the symmetry is broken spontaneously. The gravitational mass of NTS stars is limited by a maximum mass for a fixed breaking scale, and the maximum mass increases steeply as the breaking scale decreases. In the case of the breaking scale is much less than the Planck scale, the maximum mass of NTS stars becomes the astrophysical scale, and such a star is relativistically compact so that it has the innermost stable circular orbit. The first author contributed with a part of numerical calculations. The second did with planning and conducting the research, and the third did with all numerical calculations and finding new properties of the system.

[ { "created": "Fri, 18 Mar 2022 03:01:36 GMT", "version": "v1" }, { "created": "Wed, 23 Mar 2022 05:50:12 GMT", "version": "v2" }, { "created": "Thu, 14 Apr 2022 06:03:24 GMT", "version": "v3" } ]

2022-06-01

[ [ "Endo", "Yota", "" ], [ "Ishihara", "Hideki", "" ], [ "Ogawa", "Tatsuya", "" ] ]

We study spherically symmetric nontopological soliton stars (NTS stars) numerically in the coupled system of a complex scalar field, a U(1) gauge field, a complex Higgs scalar field, and Einstein gravity, where the symmetry is broken spontaneously. The gravitational mass of NTS stars is limited by a maximum mass for a fixed breaking scale, and the maximum mass increases steeply as the breaking scale decreases. In the case of the breaking scale is much less than the Planck scale, the maximum mass of NTS stars becomes the astrophysical scale, and such a star is relativistically compact so that it has the innermost stable circular orbit. The first author contributed with a part of numerical calculations. The second did with planning and conducting the research, and the third did with all numerical calculations and finding new properties of the system.

8.491861

9.742312

9.182018

8.28484

8.392732

8.287821

9.667656

8.145868

8.661031

9.528097

8.539807

8.776847

8.17942

8.251689

8.514211

8.594163

8.726724

8.334926

8.659117

8.089579

8.816413

hep-th/9812146

Jacques Bros

Jacques Bros, Daniel Iagolnitzer

Universality of low-energy scattering in three-dimensional field theory

4 pages, 2 figures, LaTex

Phys.Rev.D59:081701,1999

10.1103/PhysRevD.59.081701

SPhT t98/026

hep-th

null

Universal low-energy behaviour ${2 m c}\over{\ln |s-4m^2|}$ of the scattering function of particles of positive mass m near the threshold $s=4m^2$, and ${\pi} \over {\ln |s-4m^2|}$ for the corresponding S-wave phase-shift, is established for weakly coupled field theory models with a positive mass m in space-time dimension 3; c is a numerical constant independent of the model and couplings. This result is a non-perturbative property based on an exact analysis of the scattering function in terms of a two-particle irreducible (or Bethe-Salpeter) structure function. It also appears as generic by the same analysis in the framework of general relativistic quantum field theory.

[ { "created": "Thu, 17 Dec 1998 15:32:58 GMT", "version": "v1" } ]

2009-12-30

[ [ "Bros", "Jacques", "" ], [ "Iagolnitzer", "Daniel", "" ] ]

Universal low-energy behaviour ${2 m c}\over{\ln |s-4m^2|}$ of the scattering function of particles of positive mass m near the threshold $s=4m^2$, and ${\pi} \over {\ln |s-4m^2|}$ for the corresponding S-wave phase-shift, is established for weakly coupled field theory models with a positive mass m in space-time dimension 3; c is a numerical constant independent of the model and couplings. This result is a non-perturbative property based on an exact analysis of the scattering function in terms of a two-particle irreducible (or Bethe-Salpeter) structure function. It also appears as generic by the same analysis in the framework of general relativistic quantum field theory.

11.044447

11.5102

12.233868

10.81388

12.334311

12.336279

11.512546

11.932869

10.877432

12.159891

11.437818

10.357646

10.202312

9.661694

10.019547

10.016405

10.047692

10.07561

9.801394

9.961648

9.750304

hep-th/0312044

Mikhail Ivanov

M. G. Ivanov

String fluids and membrane media

6 pages, LaTeX, The paper is based upon talk at SQS'03 (Dubna); Discussion of different string fluid models and some references are added

null

hep-th

null

String (membrane) theory could be considered as degenerate case of relativistic continuous media theory. The paper presents models of media, which are continuous distributions of interacting membranes, strings or particles.

[ { "created": "Thu, 4 Dec 2003 13:47:12 GMT", "version": "v1" }, { "created": "Thu, 29 Jan 2004 15:29:41 GMT", "version": "v2" } ]

2007-05-23

[ [ "Ivanov", "M. G.", "" ] ]

String (membrane) theory could be considered as degenerate case of relativistic continuous media theory. The paper presents models of media, which are continuous distributions of interacting membranes, strings or particles.

26.186308

23.092884

24.45941

21.473644

21.398369

22.466156

24.661129

20.335924

20.074869

25.338539

23.149668

21.225706

22.037605

22.602518

22.144382

22.652176

21.708061

20.994234

22.926615

23.685139

20.905298

0802.0660

Niclas Wyllard

Mans Henningson, Niclas Wyllard

Zero-energy states of N = 4 SYM on T^3: S-duality and the mapping class group

17 pages

JHEP 0804:066,2008

10.1088/1126-6708/2008/04/066

null

hep-th

null

We continue our studies of the low-energy spectrum of N=4 super-Yang-Mills theory on a spatial three-torus. In two previous papers, we computed the spectrum of normalizable zero-energy states for all choices of gauge group and all values of the electric and magnetic 't Hooft fluxes, and checked its invariance under the SL_2(Z) S-duality group. In this paper, we refine the analysis by also decomposing the space of bound states into irreducible unitary representations of the SL_3(Z) mapping class group of the three-torus. We perform a detailed study of the S-dual pairs of theories with gauge groups Spin(2n+1) and Sp(2n). The predictions of S-duality (which commutes with the mapping class group) are fulfilled as expected, but the proof requires some surprisingly intricate combinatorial infinite product identities.

[ { "created": "Tue, 5 Feb 2008 16:32:03 GMT", "version": "v1" } ]

2014-11-18

[ [ "Henningson", "Mans", "" ], [ "Wyllard", "Niclas", "" ] ]

We continue our studies of the low-energy spectrum of N=4 super-Yang-Mills theory on a spatial three-torus. In two previous papers, we computed the spectrum of normalizable zero-energy states for all choices of gauge group and all values of the electric and magnetic 't Hooft fluxes, and checked its invariance under the SL_2(Z) S-duality group. In this paper, we refine the analysis by also decomposing the space of bound states into irreducible unitary representations of the SL_3(Z) mapping class group of the three-torus. We perform a detailed study of the S-dual pairs of theories with gauge groups Spin(2n+1) and Sp(2n). The predictions of S-duality (which commutes with the mapping class group) are fulfilled as expected, but the proof requires some surprisingly intricate combinatorial infinite product identities.

6.639759

5.943407

7.209251

5.904036

6.452744

6.383667

5.999357

6.330802

6.329225

7.446573

5.83533

6.08238

6.282897

6.277908

5.990123

6.053269

6.212839

6.223349

5.916359

6.568254

6.143247

hep-th/0610192

Nelson Pinto-Neto

Emanuel J. C. Pinho and Nelson Pinto-Neto

Scalar and Vector Perturbations in Quantum Cosmological Backgrounds

19 pages, no figure

Phys.Rev.D76:023506,2007

10.1103/PhysRevD.76.023506

null

hep-th

null

Generalizing a previous work concerning cosmological linear tensor perturbations, we show that the lagrangians and hamiltonians of cosmological linear scalar and vector perturbations can be put in simple form through the implementation of canonical transformations and redefinitions of the lapse function, without ever using the background classical equations of motion. In particular, if the matter content of the Universe is a perfect fluid, the hamiltonian of scalar perturbations can be reduced, as usual, to a hamiltonian of a scalar field with variable mass depending on background functions, independently of the fact that these functions satisfy the background Einstein's classical equations. These simple lagrangians and hamiltonians can then be used in situations where the background metric is also quantized, hence providing a substantial simplification over the direct approach originally developed by Halliwell and Hawking.

[ { "created": "Tue, 17 Oct 2006 11:45:08 GMT", "version": "v1" } ]

2008-11-26

[ [ "Pinho", "Emanuel J. C.", "" ], [ "Pinto-Neto", "Nelson", "" ] ]

Generalizing a previous work concerning cosmological linear tensor perturbations, we show that the lagrangians and hamiltonians of cosmological linear scalar and vector perturbations can be put in simple form through the implementation of canonical transformations and redefinitions of the lapse function, without ever using the background classical equations of motion. In particular, if the matter content of the Universe is a perfect fluid, the hamiltonian of scalar perturbations can be reduced, as usual, to a hamiltonian of a scalar field with variable mass depending on background functions, independently of the fact that these functions satisfy the background Einstein's classical equations. These simple lagrangians and hamiltonians can then be used in situations where the background metric is also quantized, hence providing a substantial simplification over the direct approach originally developed by Halliwell and Hawking.

9.64391

8.485892

8.567365

8.899396

8.86155

8.444587

8.571237

8.084203

8.238358

10.038721

8.765026

9.101934

8.5971

8.571829

8.682873

8.618734

8.772479

8.454225

8.69135

9.175326

8.754091

hep-th/9312170

Shahn Majid

Shahn Majid and Ulrich Meyer

Braided Matrix Structure of $q$-Minkowski Space and $q$-Poincare Group

12 pages

Z.Phys. C63 (1994) 357-362

10.1007/BF01411029

DAMTP/93-68

hep-th math.QA

null

We clarify the relation between the approach to $q$-Minkowski space of Carow-Watamura et al. with an approach based on the idea of $2\times 2$ braided Hermitean matrices. The latter are objects like super-matrices but with Bose-Fermi statistics replaced by braid statistics. We also obtain new R-matrix formulae for the $q$-Poincare group in this framework.

[ { "created": "Tue, 21 Dec 1993 17:26:11 GMT", "version": "v1" } ]

2009-10-22

[ [ "Majid", "Shahn", "" ], [ "Meyer", "Ulrich", "" ] ]

We clarify the relation between the approach to $q$-Minkowski space of Carow-Watamura et al. with an approach based on the idea of $2\times 2$ braided Hermitean matrices. The latter are objects like super-matrices but with Bose-Fermi statistics replaced by braid statistics. We also obtain new R-matrix formulae for the $q$-Poincare group in this framework.

10.683571

10.907838

13.096422

10.723072

10.655679

11.663241

11.200446

9.455112

11.572141

14.518212

10.163044

9.199971

9.648388

9.711913

9.687999

9.085136

9.662315

9.152845

9.59272

11.019906

9.138487

1410.4715

Daniele Marmiroli

Phase structure of $\mathcal{N}=2^*$ SYM on ellipsoids

41 pages

null

hep-th

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

We analyse the phase structure of an $\mathcal{N}=2$ massive deformation of $\mathcal{N}=4$ SYM theory on an four-dimensional ellipsoid using recent results on supersymmetric localisation. Besides the 't~Hooft coupling $\lambda$, the relevant parameters appearing in the theory and discriminating between the different phases are the hypermultiplet mass $M$ and the deformation (or squashing) parameter $Q$. The master field approximation of the matrix model associated to the analytically continued theory in the regime $Q\sim 2M$ and on the compact space, is exactly solvable and does not display any phase transition, similarly to $\mathcal{N}=2$ $SU(N)$ SYM with $2N$ massive hypermultiplets. In the strong coupling limit, equivalent in our settings to the decompactification of the four-dimensional ellipsoid, we find evidence that the theory undergoes an infinite number of phase transitions starting at finite coupling and accumulating at $\lambda=\infty$. Quite interestingly, the threshold points at which transitions occur can be pushed towards the weak coupling region by letting $Q$ approach $2M$.

[ { "created": "Fri, 17 Oct 2014 13:15:10 GMT", "version": "v1" } ]

2014-10-20

[ [ "Marmiroli", "Daniele", "" ] ]

We analyse the phase structure of an $\mathcal{N}=2$ massive deformation of $\mathcal{N}=4$ SYM theory on an four-dimensional ellipsoid using recent results on supersymmetric localisation. Besides the 't~Hooft coupling $\lambda$, the relevant parameters appearing in the theory and discriminating between the different phases are the hypermultiplet mass $M$ and the deformation (or squashing) parameter $Q$. The master field approximation of the matrix model associated to the analytically continued theory in the regime $Q\sim 2M$ and on the compact space, is exactly solvable and does not display any phase transition, similarly to $\mathcal{N}=2$ $SU(N)$ SYM with $2N$ massive hypermultiplets. In the strong coupling limit, equivalent in our settings to the decompactification of the four-dimensional ellipsoid, we find evidence that the theory undergoes an infinite number of phase transitions starting at finite coupling and accumulating at $\lambda=\infty$. Quite interestingly, the threshold points at which transitions occur can be pushed towards the weak coupling region by letting $Q$ approach $2M$.

6.983371

7.049118

8.073525

6.832956

7.538599

7.485074

7.336441

7.537594

7.149731

8.291827

7.182191

6.75644

7.278923

6.917416

6.995083

7.037895

6.88778

7.026738

6.995554

7.207201

6.867418

2303.10710

Claudio Coriano

Claudio Corian\`o, Stefano Lionetti, Matteo Maria Maglio

Parity-Odd 3-Point Functions from CFT in Momentum Space and the Chiral Anomaly

32 pages, 2 figures, revised version with typo corrections

null

10.1140/epjc/s10052-023-11661-1

null

hep-th hep-ph

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

We illustrate how the Conformal Ward Identities (CWI) in momentum space for parity-odd correlators determine the structure of a chiral anomaly interaction, taking the example of the VVA (vector/vector/axial-vector) and AAA correlators in momentum space. Only the conservation and the anomalous WIs, together with the Bose symmetry, are imposed from the outset for the determination of the correlators. We use a longitudinal/transverse decomposition of tensor structures and form factors. The longitudinal (L) component is fixed by the anomaly content and the anomaly pole, while in the transverse (T) sector we define a new parameterization. We relate the latter both to the Rosenberg original representation of the VVA and to the longitudinal/transverse (L/T) one, first introduced in the analysis of $g-2$ of the muon in the investigation of the diagram in the chiral limit of QCD. The correlators are completely identified by the conformal constraints whose solutions are fixed only by the anomaly coefficient, the residue of the anomaly pole. In both cases, our CFT result matches the one-loop perturbative expression, as expected. The CWIs for correlators of mixed chirality $J_L J J_R$ generate solutions in agreement with the all-orders nonrenormalization theorems of perturbative QCD and in the chiral limit.

[ { "created": "Sun, 19 Mar 2023 16:41:16 GMT", "version": "v1" }, { "created": "Wed, 22 Mar 2023 15:40:13 GMT", "version": "v2" }, { "created": "Fri, 7 Jul 2023 11:45:06 GMT", "version": "v3" }, { "created": "Mon, 9 Oct 2023 12:12:52 GMT", "version": "v4" } ]

2023-10-10

[ [ "Corianò", "Claudio", "" ], [ "Lionetti", "Stefano", "" ], [ "Maglio", "Matteo Maria", "" ] ]

We illustrate how the Conformal Ward Identities (CWI) in momentum space for parity-odd correlators determine the structure of a chiral anomaly interaction, taking the example of the VVA (vector/vector/axial-vector) and AAA correlators in momentum space. Only the conservation and the anomalous WIs, together with the Bose symmetry, are imposed from the outset for the determination of the correlators. We use a longitudinal/transverse decomposition of tensor structures and form factors. The longitudinal (L) component is fixed by the anomaly content and the anomaly pole, while in the transverse (T) sector we define a new parameterization. We relate the latter both to the Rosenberg original representation of the VVA and to the longitudinal/transverse (L/T) one, first introduced in the analysis of $g-2$ of the muon in the investigation of the diagram in the chiral limit of QCD. The correlators are completely identified by the conformal constraints whose solutions are fixed only by the anomaly coefficient, the residue of the anomaly pole. In both cases, our CFT result matches the one-loop perturbative expression, as expected. The CWIs for correlators of mixed chirality $J_L J J_R$ generate solutions in agreement with the all-orders nonrenormalization theorems of perturbative QCD and in the chiral limit.

13.287962

14.705771

13.116753

12.861255

13.646837

14.056247

13.563787

14.120294

13.137604

14.329122

13.373165

13.300958

12.852976

12.558951

12.794239

13.019891

12.586664

12.849412

12.711141

13.142123

12.577065

hep-th/0304241

Esko Keski-Vakkuri

Rahul Biswas, Esko Keski-Vakkuri, Robert G. Leigh, Sean Nowling and Eric Sharpe

The Taming of Closed Time-like Curves

37 pages, LaTeX2e, uses amssymb, amsmath and epsf macros, 8 eps and 3 ps figures; (v2): Two additional comments + one reference added; (v3): corrections in discussion of CTCs + some clarifications

JHEP 0401:064,2004

10.1088/1126-6708/2004/01/064

HIP-2003-28/TH, CERN-TH/2003-097

hep-th gr-qc

null

We consider a $R^{1,d}/Z_2$ orbifold, where $Z_2$ acts by time and space reversal, also known as the embedding space of the elliptic de Sitter space. The background has two potentially dangerous problems: time-nonorientability and the existence of closed time-like curves. We first show that closed causal curves disappear after a proper definition of the time function. We then consider the one-loop vacuum expectation value of the stress tensor. A naive QFT analysis yields a divergent result. We then analyze the stress tensor in bosonic string theory, and find the same result as if the target space would be just the Minkowski space $R^{1,d}$, suggesting a zero result for the superstring. This leads us to propose a proper reformulation of QFT, and recalculate the stress tensor. We find almost the same result as in Minkowski space, except for a potential divergence at the initial time slice of the orbifold, analogous to a spacelike Big Bang singularity. Finally, we argue that it is possible to define local S-matrices, even if the spacetime is globally time-nonorientable.

[ { "created": "Mon, 28 Apr 2003 15:09:40 GMT", "version": "v1" }, { "created": "Thu, 29 May 2003 11:08:31 GMT", "version": "v2" }, { "created": "Wed, 26 Nov 2003 09:20:50 GMT", "version": "v3" } ]

2009-11-10

[ [ "Biswas", "Rahul", "" ], [ "Keski-Vakkuri", "Esko", "" ], [ "Leigh", "Robert G.", "" ], [ "Nowling", "Sean", "" ], [ "Sharpe", "Eric", "" ] ]

We consider a $R^{1,d}/Z_2$ orbifold, where $Z_2$ acts by time and space reversal, also known as the embedding space of the elliptic de Sitter space. The background has two potentially dangerous problems: time-nonorientability and the existence of closed time-like curves. We first show that closed causal curves disappear after a proper definition of the time function. We then consider the one-loop vacuum expectation value of the stress tensor. A naive QFT analysis yields a divergent result. We then analyze the stress tensor in bosonic string theory, and find the same result as if the target space would be just the Minkowski space $R^{1,d}$, suggesting a zero result for the superstring. This leads us to propose a proper reformulation of QFT, and recalculate the stress tensor. We find almost the same result as in Minkowski space, except for a potential divergence at the initial time slice of the orbifold, analogous to a spacelike Big Bang singularity. Finally, we argue that it is possible to define local S-matrices, even if the spacetime is globally time-nonorientable.

9.172398

9.337614

10.081051

9.247088

8.914164

9.183897

9.751615

9.280828

9.229098

10.335594

9.214486

8.83075

9.245777

8.989042

8.693076

8.87391

8.997814

8.830511

9.101332

9.129393

8.857119

2301.13702

Carlo Angelantonj

Carlo Angelantonj, Ioannis Florakis and Giorgio Leone

Tachyons and Misaligned Supersymmetry in Closed String Vacua

32 pages. Improvement based on an exact Rademacher expansion of the Fourier coefficients of characters. Appendix A added. Refs added

null

10.1007/JHEP06(2023)174

null

hep-th

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

In a remarkable paper, Dienes discovered that the absence of physical tachyons in closed string theory is intimately related to oscillations in the net number of bosonic minus fermionic degrees of freedom, a pattern predicted by an underlying misaligned supersymmetry. The average of these oscillations was linked to an exponential growth controlled by an effective central charge C_{eff} smaller than the expected inverse Hagedorn temperature. Dienes also conjectured that C_{eff} should vanish when tachyons are absent. In this paper, we revisit this problem and show that boson-fermion oscillations are realised even when tachyons are present in the physical spectrum. In fact, we prove that the average growth rate C_{eff} is set by the mass of the lightest state, be it massless or tachyonic, and coincides with the effective inverse Hagedorn temperature of the associated thermal theory. We also provide a general proof that the necessary and sufficient condition for classical stability is the vanishing of the sector averaged sum which implies C_{eff}=0, in agreement with Dienes' conjecture.

[ { "created": "Tue, 31 Jan 2023 15:22:00 GMT", "version": "v1" }, { "created": "Thu, 2 Mar 2023 23:18:35 GMT", "version": "v2" } ]

2023-07-26

[ [ "Angelantonj", "Carlo", "" ], [ "Florakis", "Ioannis", "" ], [ "Leone", "Giorgio", "" ] ]

In a remarkable paper, Dienes discovered that the absence of physical tachyons in closed string theory is intimately related to oscillations in the net number of bosonic minus fermionic degrees of freedom, a pattern predicted by an underlying misaligned supersymmetry. The average of these oscillations was linked to an exponential growth controlled by an effective central charge C_{eff} smaller than the expected inverse Hagedorn temperature. Dienes also conjectured that C_{eff} should vanish when tachyons are absent. In this paper, we revisit this problem and show that boson-fermion oscillations are realised even when tachyons are present in the physical spectrum. In fact, we prove that the average growth rate C_{eff} is set by the mass of the lightest state, be it massless or tachyonic, and coincides with the effective inverse Hagedorn temperature of the associated thermal theory. We also provide a general proof that the necessary and sufficient condition for classical stability is the vanishing of the sector averaged sum which implies C_{eff}=0, in agreement with Dienes' conjecture.

8.476364

8.606987

8.329981

7.887726

8.407084

8.458182

8.651302

8.358101

7.991755

8.715241

7.827633

7.731806

7.946636

7.614111

7.514787

7.770935

7.819817

7.604368

7.718085

8.059893

7.62531

2404.18994

Pierre Heidmann

Rapha\"el Dulac and Pierre Heidmann

Building the Blocks of Schwarzschild

v2: published version; 36 pages + Appendix, 19 figures

null

10.1007/JHEP07(2024)234

null

hep-th gr-qc hep-ph

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

We demonstrate that the Schwarzschild black hole can be ``resolved'' into bound states of Reissner-Nordstr\"om black holes in four dimensions. These bound states closely resemble the Schwarzschild geometry from the asymptotic region up to an infinitesimal distance away from the Schwarzschild horizon. Below this scale, the horizon is replaced by novel spacetime structures supported by intense and entrapped electromagnetic flux. The flux originates from collinear black holes that can be brought arbitrarily close to extremality. We find that the charge distribution follows a universal pattern, with magnitudes scaling proportionally to the total mass and alternating in sign. Moreover, the bound states always have an entropy that constitutes a fraction of the Schwarzschild entropy. Constructed in four dimensions, the black holes are kept apart by struts, for which we analyze tensions and energies. These solutions pave the way for analogous constructions in supergravity and for a brane/anti-brane description of the Schwarzschild black hole in string theory.

[ { "created": "Mon, 29 Apr 2024 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 31 Jul 2024 10:39:43 GMT", "version": "v2" } ]

2024-08-01

[ [ "Dulac", "Raphaël", "" ], [ "Heidmann", "Pierre", "" ] ]

We demonstrate that the Schwarzschild black hole can be ``resolved'' into bound states of Reissner-Nordstr\"om black holes in four dimensions. These bound states closely resemble the Schwarzschild geometry from the asymptotic region up to an infinitesimal distance away from the Schwarzschild horizon. Below this scale, the horizon is replaced by novel spacetime structures supported by intense and entrapped electromagnetic flux. The flux originates from collinear black holes that can be brought arbitrarily close to extremality. We find that the charge distribution follows a universal pattern, with magnitudes scaling proportionally to the total mass and alternating in sign. Moreover, the bound states always have an entropy that constitutes a fraction of the Schwarzschild entropy. Constructed in four dimensions, the black holes are kept apart by struts, for which we analyze tensions and energies. These solutions pave the way for analogous constructions in supergravity and for a brane/anti-brane description of the Schwarzschild black hole in string theory.

11.873072

12.028645

11.644528

11.227921

12.088237

11.16007

11.429514

10.770448

11.641094

11.451242

11.095146

11.089596

11.703221

11.026582

11.162988

10.92425

11.136252

11.047733

11.3576

11.716628

11.059139

2110.15112

Nafiz Ishtiaque

Nafiz Ishtiaque, Seyed Faroogh Moosavian, Surya Raghavendran and Junya Yagi

Superspin chains from superstring theory

49+14 pages. v2: corrected typos in section 3.4.2

SciPost Phys. 13 (2022) 083

10.21468/SciPostPhys.13.4.083

null

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

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

We present a correspondence between two-dimensional $\mathcal{N} = (2,2)$ supersymmetric gauge theories and rational integrable $\mathfrak{gl}(m|n)$ spin chains with spin variables taking values in Verma modules. To explain this correspondence, we realize the gauge theories as configurations of branes in string theory and map them by dualities to brane configurations that realize line defects in four-dimensional Chern-Simons theory with gauge group $\mathrm{GL}(m|n)$. The latter configurations embed the superspin chains into superstring theory. We also provide a string theory derivation of a similar correspondence, proposed by Nekrasov, for rational $\mathfrak{gl}(m|n)$ spin chains with spins valued in finite-dimensional representations.

[ { "created": "Thu, 28 Oct 2021 13:53:11 GMT", "version": "v1" }, { "created": "Mon, 12 Dec 2022 03:16:04 GMT", "version": "v2" } ]

2022-12-13

[ [ "Ishtiaque", "Nafiz", "" ], [ "Moosavian", "Seyed Faroogh", "" ], [ "Raghavendran", "Surya", "" ], [ "Yagi", "Junya", "" ] ]

We present a correspondence between two-dimensional $\mathcal{N} = (2,2)$ supersymmetric gauge theories and rational integrable $\mathfrak{gl}(m|n)$ spin chains with spin variables taking values in Verma modules. To explain this correspondence, we realize the gauge theories as configurations of branes in string theory and map them by dualities to brane configurations that realize line defects in four-dimensional Chern-Simons theory with gauge group $\mathrm{GL}(m|n)$. The latter configurations embed the superspin chains into superstring theory. We also provide a string theory derivation of a similar correspondence, proposed by Nekrasov, for rational $\mathfrak{gl}(m|n)$ spin chains with spins valued in finite-dimensional representations.

6.020139

5.75493

7.499604

5.452393

5.762028

5.701634

5.996308

5.755049

5.336245

8.866931

5.701012

6.077824

6.376163

5.679901

5.786518

5.820907

5.966428

5.608379

5.613934

6.079863

5.667299

hep-th/9406084

Rim Chai Ho

K. H. Cho and S. U. Park

Deformed Algebras from Inverse Schwinger Method

14 pages, Jeonju University Report, Latex

J.Phys. A28 (1995) 1005-1016

10.1088/0305-4470/28/4/023

null

hep-th

null

We consider a problem which may be viewed as an inverse one to the Schwinger realization of Lie algebra, and suggest a procedure of deforming the so-obtained algebra. We illustrate the method through a few simple examples extending Schwinger's $su(1,1)$ construction. As results, various q-deformed algebras are (re-)produced as well as their undeformed counterparts. Some extensions of the method are pointed out briefly.

[ { "created": "Tue, 14 Jun 1994 12:24:56 GMT", "version": "v1" } ]

2009-10-28

[ [ "Cho", "K. H.", "" ], [ "Park", "S. U.", "" ] ]

We consider a problem which may be viewed as an inverse one to the Schwinger realization of Lie algebra, and suggest a procedure of deforming the so-obtained algebra. We illustrate the method through a few simple examples extending Schwinger's $su(1,1)$ construction. As results, various q-deformed algebras are (re-)produced as well as their undeformed counterparts. Some extensions of the method are pointed out briefly.

14.238698

13.225804

13.748975

12.176192

13.291552

14.133783

13.468292

12.319311

12.168757

15.416246

13.504056

12.321766

13.626019

12.743557

12.795066

12.805204

12.472756

12.418206

12.66438

13.342361

13.188944

hep-th/0406054

Artemio Gonzalez-Lopez

A. Enciso, F. Finkel, A. Gonzalez-Lopez, M.A. Rodriguez

Haldane-Shastry spin chains of BC_N type

LaTeX, 26 pages, 3 figures, to appear in Nucl. Phys. B

Nucl.Phys. B707 (2005) 553-576

10.1016/j.nuclphysb.2004.10.064

null

hep-th cond-mat.str-el nlin.SI

null

We introduce four types of SU(2M+1) spin chains which can be regarded as the BC_N versions of the celebrated Haldane-Shastry chain. These chains depend on two free parameters and, unlike the original Haldane-Shastry chain, their sites need not be equally spaced. We prove that all four chains are solvable by deriving an exact expression for their partition function using Polychronakos's "freezing trick". From this expression we deduce several properties of the spectrum, and advance a number of conjectures that hold for a wide range of values of the spin M and the number of particles. In particular, we conjecture that the level density is Gaussian, and provide a heuristic derivation of general formulas for the mean and the standard deviation of the energy.

[ { "created": "Sat, 5 Jun 2004 11:49:45 GMT", "version": "v1" }, { "created": "Thu, 9 Dec 2004 14:29:47 GMT", "version": "v2" } ]

2009-11-10

[ [ "Enciso", "A.", "" ], [ "Finkel", "F.", "" ], [ "Gonzalez-Lopez", "A.", "" ], [ "Rodriguez", "M. A.", "" ] ]

We introduce four types of SU(2M+1) spin chains which can be regarded as the BC_N versions of the celebrated Haldane-Shastry chain. These chains depend on two free parameters and, unlike the original Haldane-Shastry chain, their sites need not be equally spaced. We prove that all four chains are solvable by deriving an exact expression for their partition function using Polychronakos's "freezing trick". From this expression we deduce several properties of the spectrum, and advance a number of conjectures that hold for a wide range of values of the spin M and the number of particles. In particular, we conjecture that the level density is Gaussian, and provide a heuristic derivation of general formulas for the mean and the standard deviation of the energy.

7.568414

7.324795

8.965757

7.68436

8.017705

8.08012

7.938289

7.52301

7.566777

9.174101

7.516577

7.71032

8.239567

7.636826

7.66841

7.55879

7.580562

7.491012

7.545199

8.133363

7.650023

1607.01315

Nikolaos Mavromatos

Nick E. Mavromatos and Sarben Sarkar

Magnetic Monopoles from Global Monopoles in the presence of Kalb-Ramond Torsion

27 pages revtex, no figures, expanded version, updated references, updated discussion (within string theory) with details, justifying the induction of a magnetic-monopole type field by the Kalb-Ramond axion field, no effect on conclusions

Phys. Rev. D 95, 104025 (2017)

10.1103/PhysRevD.95.104025

KCL-PH-TH-2016-40

hep-th gr-qc hep-ph

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

Possible classical solutions for electromagnetic monopoles induced by gravitational (global) monopoles in the presence of torsion are found. Such solutions rely on a non-zero (Kalb-Ramond) torsion strength, which may characterise low energy theories inspired from string models. Bounds from the current run of the LHC experiments are used to constrain the parameters of the model, but because the production mechanism depends on the details of the model and its ultraviolet completion, such bounds are presently only indicative.

[ { "created": "Tue, 5 Jul 2016 16:24:00 GMT", "version": "v1" }, { "created": "Tue, 22 Nov 2016 17:31:10 GMT", "version": "v2" }, { "created": "Mon, 27 Feb 2017 11:18:14 GMT", "version": "v3" } ]

2017-05-24

[ [ "Mavromatos", "Nick E.", "" ], [ "Sarkar", "Sarben", "" ] ]

Possible classical solutions for electromagnetic monopoles induced by gravitational (global) monopoles in the presence of torsion are found. Such solutions rely on a non-zero (Kalb-Ramond) torsion strength, which may characterise low energy theories inspired from string models. Bounds from the current run of the LHC experiments are used to constrain the parameters of the model, but because the production mechanism depends on the details of the model and its ultraviolet completion, such bounds are presently only indicative.

16.282518

15.272764

13.831905

14.356071

14.287554

14.471503

14.779081

14.99896

13.360687

14.334073

15.043036

14.576515

14.85253

14.845318

14.870628

14.737188

14.3314

13.921343

13.953033

14.32866

14.113334

1507.05420

Timothy J. Hollowood

Calan Appadu and Timothy J. Hollowood

Beta Function of k Deformed AdS_5 x S^5 String Theory

26 pages, some typos corrected

null

10.1007/JHEP11(2015)095

null

hep-th

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

We calculate the one loop beta function for the would-be marginal coupling on the world sheet of the k deformed sigma models associated to a quantum group with q=exp(i pi/k). This includes the bosonic principal chiral models and symmetric space sigma models but also the k deformed semi-symmetric space sigma model describing strings in a deformation of AdS_5 x S^5. The world sheet sigma model is a current-current deformation of the gauged WZW model for the supergroup PSU(2,2|4) with level k. In the string theory context the beta function is shown to vanish because of the vanishing of the Killing form of PSU(2,2|4) which is another piece of evidence that the k deformed theories define consistent string theories.

[ { "created": "Mon, 20 Jul 2015 09:06:20 GMT", "version": "v1" }, { "created": "Thu, 3 Sep 2015 15:50:42 GMT", "version": "v2" } ]

2016-01-20

[ [ "Appadu", "Calan", "" ], [ "Hollowood", "Timothy J.", "" ] ]

We calculate the one loop beta function for the would-be marginal coupling on the world sheet of the k deformed sigma models associated to a quantum group with q=exp(i pi/k). This includes the bosonic principal chiral models and symmetric space sigma models but also the k deformed semi-symmetric space sigma model describing strings in a deformation of AdS_5 x S^5. The world sheet sigma model is a current-current deformation of the gauged WZW model for the supergroup PSU(2,2|4) with level k. In the string theory context the beta function is shown to vanish because of the vanishing of the Killing form of PSU(2,2|4) which is another piece of evidence that the k deformed theories define consistent string theories.

7.740445

7.10056

9.819194

7.228809

7.947019

7.879302

8.076133

7.196796

7.442721

10.031122

7.238761

7.667532

8.106892

7.419054

7.544818

7.467999

7.647576

7.540133

7.686442

7.889428

7.144275

2203.00021

Nicola Pedron

Michele Cicoli, Francisco G. Pedro, Nicola Pedron

Secondary GWs and PBHs in string inflation: formation and detectability

16 pages, 5 figures

null

10.1088/1475-7516/2022/08/030

null

hep-th astro-ph.CO gr-qc

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

We derive the spectrum and analyse the detectability prospects of secondary gravity waves (GWs) associated to primordial black hole (PBH) production in a class of string inflationary models called Fibre Inflation. The inflationary potential features a near inflection point that induces a period of ultra slow-roll responsible for an enhancement of the scalar perturbations which can lead to PBHs with different masses and contributions to dark matter (DM) in agreement with current observational bounds, including CMB constraints on the scalar spectral index and the tensor-to-scalar ratio. This enhancement of the curvature perturbations sources secondary GWs which can be detected by either LISA, ET or BBO, depending on the GW frequency but regardless of the amount of PBH DM since secondary GWs remain detectable even if the PBH contribution to DM is exponentially suppressed. The possibility to see a secondary GW signal is instead due to the presence of an ultra slow-roll epoch between CMB horizon exit and the end of inflation.

[ { "created": "Mon, 28 Feb 2022 19:00:04 GMT", "version": "v1" }, { "created": "Sat, 23 Jul 2022 15:16:30 GMT", "version": "v2" } ]

2022-08-24

[ [ "Cicoli", "Michele", "" ], [ "Pedro", "Francisco G.", "" ], [ "Pedron", "Nicola", "" ] ]

We derive the spectrum and analyse the detectability prospects of secondary gravity waves (GWs) associated to primordial black hole (PBH) production in a class of string inflationary models called Fibre Inflation. The inflationary potential features a near inflection point that induces a period of ultra slow-roll responsible for an enhancement of the scalar perturbations which can lead to PBHs with different masses and contributions to dark matter (DM) in agreement with current observational bounds, including CMB constraints on the scalar spectral index and the tensor-to-scalar ratio. This enhancement of the curvature perturbations sources secondary GWs which can be detected by either LISA, ET or BBO, depending on the GW frequency but regardless of the amount of PBH DM since secondary GWs remain detectable even if the PBH contribution to DM is exponentially suppressed. The possibility to see a secondary GW signal is instead due to the presence of an ultra slow-roll epoch between CMB horizon exit and the end of inflation.

8.130152

8.665118

7.749364

7.304529

7.829247

8.175358

7.999218

8.048491

7.596731

8.466516

8.320375

7.847932

7.414251

7.493794

7.836646

7.773057

7.706058

7.760184

7.629045

7.76277

7.702477

0711.2173

Ludwik Turko

Statistical ensemble equivalence problem

5 pages, Talk given at the conference ''New Trends in High Energy Physics'', Crimea 2007, Yalta, 15-22 September 2007

null

hep-th cond-mat.stat-mech

null

A problem of the equivalence of statistical ensembles is critically analyzed. It is shown, that although different probability distributions of statistical physics have the same behavior in the thermodynamic limit, there are physical observables -- semi-intensive variables -- which keep memory of the underlying ensembles. This property is an universal one and can be observed even in the simplest case of the grand canonical and canonical ensembles of the classical statistical physics.

[ { "created": "Wed, 14 Nov 2007 11:55:27 GMT", "version": "v1" } ]

2007-11-17

[ [ "Turko", "Ludwik", "" ] ]

A problem of the equivalence of statistical ensembles is critically analyzed. It is shown, that although different probability distributions of statistical physics have the same behavior in the thermodynamic limit, there are physical observables -- semi-intensive variables -- which keep memory of the underlying ensembles. This property is an universal one and can be observed even in the simplest case of the grand canonical and canonical ensembles of the classical statistical physics.

12.684898

14.255301

11.40249

10.996872

11.226596

12.873462

13.516184

11.453143

11.677042

11.735276

10.36058

11.504622

10.894863

11.42451

11.324706

11.739534

11.394041

11.386386

11.273965

11.228044

10.738046

1104.3135

Tristan Hubsch

Weaving Worldsheet Supermultiplets from the Worldlines Within

Extended version, with added discussion of complex and quaternionic tensor products demonstrating that certain quotient supermultiplets do not factorize over any ground field

Adv. in Th. Math. Phys. 17 (2013)1-72

10.4310/ATMP.2013.v17.n5.a2

null

hep-th

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

Using the fact that every worldsheet is ruled by two (light-cone) copies of worldlines, the recent classification of off-shell supermultiplets of N-extended worldline supersymmetry is extended to construct standard off-shell and also unidextrous (on the half-shell) supermultiplets of worldsheet (p,q)-supersymmetry with no central extension. In the process, a new class of error-correcting (even-split doubly-even linear block) codes is introduced and classified for $p+q \leq 8$, providing a graphical method for classification of such codes and supermultiplets. This also classifies quotients by such codes, of which many are not tensor products of worldline factors. Also, supermultiplets that admit a complex structure are found to be depictable by graphs that have a hallmark twisted reflection symmetry.

[ { "created": "Fri, 15 Apr 2011 19:27:55 GMT", "version": "v1" }, { "created": "Mon, 20 Jan 2014 03:23:19 GMT", "version": "v2" } ]

2016-03-08

[ [ "Hubsch", "Tristan", "" ] ]

Using the fact that every worldsheet is ruled by two (light-cone) copies of worldlines, the recent classification of off-shell supermultiplets of N-extended worldline supersymmetry is extended to construct standard off-shell and also unidextrous (on the half-shell) supermultiplets of worldsheet (p,q)-supersymmetry with no central extension. In the process, a new class of error-correcting (even-split doubly-even linear block) codes is introduced and classified for $p+q \leq 8$, providing a graphical method for classification of such codes and supermultiplets. This also classifies quotients by such codes, of which many are not tensor products of worldline factors. Also, supermultiplets that admit a complex structure are found to be depictable by graphs that have a hallmark twisted reflection symmetry.

19.626213

21.798813

23.3585

18.615782

19.793941

23.68749

20.319618

19.986635

18.738207

24.34795

19.423134

17.921995

20.636728

18.171803

18.257759

18.360044

18.688248

18.004108

19.061066

20.853119

18.448223

hep-th/0105248

Gaston Giribet

Prelogarithmic operators and Jordan blocks in SL(2)_k affine algebra

16 pages. Corrected some typos, references and comments added

Mod.Phys.Lett. A16 (2001) 821-834

10.1142/S0217732301004029

null

hep-th

null

The free field description of logarithmic and prelogarithmic operators in non compact Wess-Zumino-Witten model is analysed. We study the structure of the Jordan blocks of the SL(2)_k affine algebra and the role of the puncture operator in the theory in relation with the unitarity bound.

[ { "created": "Thu, 24 May 2001 13:46:02 GMT", "version": "v1" }, { "created": "Fri, 1 Jun 2001 17:01:19 GMT", "version": "v2" }, { "created": "Sun, 31 Mar 2002 20:34:03 GMT", "version": "v3" } ]

2009-11-07

[ [ "Giribet", "Gaston", "" ] ]

The free field description of logarithmic and prelogarithmic operators in non compact Wess-Zumino-Witten model is analysed. We study the structure of the Jordan blocks of the SL(2)_k affine algebra and the role of the puncture operator in the theory in relation with the unitarity bound.

14.862122

12.929068

15.980412

11.427801

12.749493

14.00576

13.049617

13.812203

12.613605

20.491512

12.350251

13.768733

16.061975

13.339613

13.18265

13.252009

13.323879

13.121463

13.463573

15.952574

13.327689