LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1407.5301

Bayram Tekin

Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin

AdS-plane wave and pp-wave solutions of generic gravity theories

34 pages, no figures, references added, discussions amplified, version to appear in Phys. Rev. D

Phys. Rev. D 90, 124005 (2014)

10.1103/PhysRevD.90.124005

null

hep-th gr-qc

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

We construct the AdS-plane wave solutions of generic gravity theory built on the arbitrary powers of the Riemann tensor and its derivatives in analogy with the pp-wave solutions. In constructing the wave solutions of the generic theory, we show that the most general two tensor built from the Riemann tensor and its derivatives can be written in terms of the traceless-Ricci tensor. Quadratic gravity theory plays a major role; therefore, we revisit the wave solutions in this theory. As examples to our general formalism, we work out the six-dimensional conformal gravity and its nonconformal deformation as well as the tricritical gravity, the Lanczos-Lovelock theory, and string-generated cubic curvature theory.

[ { "created": "Sun, 20 Jul 2014 14:56:34 GMT", "version": "v1" }, { "created": "Mon, 25 Aug 2014 11:29:49 GMT", "version": "v2" }, { "created": "Wed, 5 Nov 2014 08:43:21 GMT", "version": "v3" } ]

2014-12-10

[ [ "Gurses", "Metin", "" ], [ "Sisman", "Tahsin Cagri", "" ], [ "Tekin", "Bayram", "" ] ]

We construct the AdS-plane wave solutions of generic gravity theory built on the arbitrary powers of the Riemann tensor and its derivatives in analogy with the pp-wave solutions. In constructing the wave solutions of the generic theory, we show that the most general two tensor built from the Riemann tensor and its derivatives can be written in terms of the traceless-Ricci tensor. Quadratic gravity theory plays a major role; therefore, we revisit the wave solutions in this theory. As examples to our general formalism, we work out the six-dimensional conformal gravity and its nonconformal deformation as well as the tricritical gravity, the Lanczos-Lovelock theory, and string-generated cubic curvature theory.

10.721536

10.908046

11.247365

9.685541

12.182602

10.26363

10.357162

10.403598

9.800952

12.215799

10.425644

10.016137

10.783672

10.528802

10.410495

10.40843

10.26563

10.044699

10.365595

10.530251

10.228864

hep-th/9309012

Yuri Makeenko

Yu. Makeenko and K. Zarembo

Adjoint Fermion Matrix Models

20pp., Latex (4 Latex figures), SMI-93-5

Nucl.Phys. B422 (1994) 237-257

10.1016/0550-3213(94)00061-1

null

hep-th

null

We study fermionic one-matrix, two-matrix and $D$-dimensional gauge invariant matrix models. In all cases we derive loop equations which unambiguously determine the large-$N$ solution. For the one-matrix case the solution is obtained for an arbitrary interaction potential and turns out to be equivalent to the one for the Hermitean one-matrix model with a logarithmic potential and, therefore, belongs to the same universality class. The explicit solutions for the fermionic two-matrix and $D$-dimensional matrix models are obtained at large $N$ (or in the spherical approximation) for the quadratic potential.

[ { "created": "Thu, 2 Sep 1993 12:19:56 GMT", "version": "v1" } ]

2009-10-22

[ [ "Makeenko", "Yu.", "" ], [ "Zarembo", "K.", "" ] ]

We study fermionic one-matrix, two-matrix and $D$-dimensional gauge invariant matrix models. In all cases we derive loop equations which unambiguously determine the large-$N$ solution. For the one-matrix case the solution is obtained for an arbitrary interaction potential and turns out to be equivalent to the one for the Hermitean one-matrix model with a logarithmic potential and, therefore, belongs to the same universality class. The explicit solutions for the fermionic two-matrix and $D$-dimensional matrix models are obtained at large $N$ (or in the spherical approximation) for the quadratic potential.

6.243179

5.452745

6.564783

5.602841

5.802602

5.994767

5.506857

5.477279

5.644314

7.16306

5.475498

5.675825

6.237707

5.755619

5.670735

5.584036

5.682373

5.70342

5.952986

6.417029

5.668456

1307.4650

Daniel Blaschke

Daniel N. Blaschke, Francois Gieres, Franz Heindl, Manfred Schweda and Michael Wohlgenannt

BPHZ renormalization and its application to non-commutative field theory

27 pages, 4 figures; v2 references added, to appear in EPJC

Eur. Phys. J. C73:2566, 2013

10.1140/epjc/s10052-013-2566-8

LA-UR-13-24956

hep-th

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

In a recent work a modified BPHZ scheme has been introduced and applied to one-loop Feynman graphs in non-commutative phi^4-theory. In the present paper, we first review the BPHZ method and then we apply the modified BPHZ scheme as well as Zimmermann's forest formula to the sunrise graph, i.e. a typical higher-loop graph involving overlapping divergences. Furthermore, we show that the application of the modified BPHZ scheme to the IR-singularities appearing in non-planar graphs (UV/IR mixing problem) leads to the introduction of a 1/p^2 term and thereby to a renormalizable model. Finally, we address the application of this approach to gauge field theories.

[ { "created": "Wed, 17 Jul 2013 14:31:33 GMT", "version": "v1" }, { "created": "Tue, 3 Sep 2013 21:35:39 GMT", "version": "v2" } ]

2013-09-25

[ [ "Blaschke", "Daniel N.", "" ], [ "Gieres", "Francois", "" ], [ "Heindl", "Franz", "" ], [ "Schweda", "Manfred", "" ], [ "Wohlgenannt", "Michael", "" ] ]

In a recent work a modified BPHZ scheme has been introduced and applied to one-loop Feynman graphs in non-commutative phi^4-theory. In the present paper, we first review the BPHZ method and then we apply the modified BPHZ scheme as well as Zimmermann's forest formula to the sunrise graph, i.e. a typical higher-loop graph involving overlapping divergences. Furthermore, we show that the application of the modified BPHZ scheme to the IR-singularities appearing in non-planar graphs (UV/IR mixing problem) leads to the introduction of a 1/p^2 term and thereby to a renormalizable model. Finally, we address the application of this approach to gauge field theories.

8.004511

6.991561

7.944154

7.18018

7.748963

7.082052

7.262452

7.72751

7.322908

8.037413

7.11497

7.261931

7.491513

7.237556

6.973958

6.976455

6.835768

7.274199

7.208993

7.385993

7.107865

hep-th/9909206

Hugo Compean

H. Garcia-Compean, J.F. Plebanski, M. Przanowski and F.J. Turrubiates

Deformation Quantization of Classical Fields

35 pages, harvmac file, no figures, typos corrected, references added and error corrected in section 4

Int.J.Mod.Phys. A16 (2001) 2533-2558

10.1142/S0217751X01003652

CINVESTAV-FIS 59/99

hep-th math.QA quant-ph

null

We study the deformation quantization of scalar and abelian gauge classical free fields. Stratonovich-Weyl quantizer, star-products and Wigner functionals are obtained in field and oscillator variables. Abelian gauge theory is particularly intriguing since Wigner functional is factorized into a physical part and other one containing the constraints only. Some effects of non-trivial topology within deformation quantization formalism are also considered.

[ { "created": "Wed, 29 Sep 1999 21:18:49 GMT", "version": "v1" }, { "created": "Wed, 10 Nov 1999 22:21:21 GMT", "version": "v2" }, { "created": "Fri, 11 Feb 2000 15:26:58 GMT", "version": "v3" } ]

2009-10-31

[ [ "Garcia-Compean", "H.", "" ], [ "Plebanski", "J. F.", "" ], [ "Przanowski", "M.", "" ], [ "Turrubiates", "F. J.", "" ] ]

We study the deformation quantization of scalar and abelian gauge classical free fields. Stratonovich-Weyl quantizer, star-products and Wigner functionals are obtained in field and oscillator variables. Abelian gauge theory is particularly intriguing since Wigner functional is factorized into a physical part and other one containing the constraints only. Some effects of non-trivial topology within deformation quantization formalism are also considered.

17.487257

15.512114

20.77173

16.334835

17.553831

18.70792

17.766909

15.275995

18.490778

23.886841

17.150991

16.023245

19.547567

16.743591

15.942581

16.748703

16.30435

16.388195

16.224495

18.270823

16.653276

hep-th/9908121

Eduardo Eyras

Stable D8-branes and Tachyon Condensation in Type 0 Open String Theory

16 pages, LaTeX, 1 figure, minor changes, references added

JHEP 9910 (1999) 005

10.1088/1126-6708/1999/10/005

UG-16/99

hep-th

null

We consider non-BPS D8 (and D7) branes in type 0 open string theory and describe under which circumstances these branes are stable. We find stable non-BPS D7 and D8 in type 0 with and without D9-branes in the background. By extending the descent relations between D-branes to type 0 theories, the non-BPS D8-brane is considered as the result of a tachyon condensation of a D9 anti-D9 pair in type 0. We study the condensation of the open string tachyons in type 0 with generic gauge groups giving rise to different configurations involving non-BPS D8-branes and discuss the stability in each case. The results agree with the topological analysis of the vacuum manifold of the tachyon potential for each case.

[ { "created": "Wed, 18 Aug 1999 16:24:44 GMT", "version": "v1" }, { "created": "Sun, 10 Oct 1999 16:46:54 GMT", "version": "v2" } ]

2009-10-31

[ [ "Eyras", "Eduardo", "" ] ]

We consider non-BPS D8 (and D7) branes in type 0 open string theory and describe under which circumstances these branes are stable. We find stable non-BPS D7 and D8 in type 0 with and without D9-branes in the background. By extending the descent relations between D-branes to type 0 theories, the non-BPS D8-brane is considered as the result of a tachyon condensation of a D9 anti-D9 pair in type 0. We study the condensation of the open string tachyons in type 0 with generic gauge groups giving rise to different configurations involving non-BPS D8-branes and discuss the stability in each case. The results agree with the topological analysis of the vacuum manifold of the tachyon potential for each case.

7.028242

7.31779

7.559846

7.016585

7.388743

7.580775

7.399235

7.094159

6.995454

8.130001

6.955558

7.093646

7.212532

6.941082

6.982053

6.893262

6.981159

6.948647

6.898056

7.180627

6.896969

hep-th/0104253

Andrei Mironov

A.Mironov

Self-dual Hamiltonians as Deformations of Free Systems

5 pages, LaTeX (corrected misprints)

Theor.Math.Phys.129:1581-1585,2001; Teor.Mat.Fiz.129:327-332,2001

10.1023/A:1012843409301

null

hep-th

null

We formulate the problem of finding self-dual Hamiltonians (associated with integrable systems) as deformations of free systems given on various symplectic manifolds and discuss several known explicit examples, including recently found double elliptic Hamiltonians. We consider as basic the notion of self-duality, while the duality in integrable systems (of the Toda/Calogero/Ruijsenaars type) comes as a derivative notion (degenerations of self-dual systems). This is a talk presented at the Workshop "Classical and Quantum Integrable Systems", Protvino, January, 2001.

[ { "created": "Sun, 29 Apr 2001 12:08:56 GMT", "version": "v1" }, { "created": "Fri, 4 Jan 2002 16:49:53 GMT", "version": "v2" } ]

2014-11-18

[ [ "Mironov", "A.", "" ] ]

We formulate the problem of finding self-dual Hamiltonians (associated with integrable systems) as deformations of free systems given on various symplectic manifolds and discuss several known explicit examples, including recently found double elliptic Hamiltonians. We consider as basic the notion of self-duality, while the duality in integrable systems (of the Toda/Calogero/Ruijsenaars type) comes as a derivative notion (degenerations of self-dual systems). This is a talk presented at the Workshop "Classical and Quantum Integrable Systems", Protvino, January, 2001.

11.05111

11.590179

11.675661

10.440268

10.281791

11.013865

10.489491

10.051224

10.465755

13.388519

10.474442

10.303376

11.077366

10.262317

10.732298

10.487429

10.16914

10.254187

10.666812

11.000593

10.196527

hep-th/9707075

Angel Uranga

L.E.Ibanez, A.M.Uranga

D=6, N=1 String Vacua and Duality

52 pages, plain Latex. To appear in the proceedings of the APCTP Winter School on Duality, Mt. Sorak (Korea), February 1997

null

10.1142/9789814447287_0006

FTUAM-97/9

hep-th

null

We review the structure $D=6, N=1$ string vacua with emphasis on the different connections due to T-dualities and S-dualities. The topics discussed include: Anomaly cancellation; K3 and orbifold $D=6, N=1$ heterotic compactifications; T-dualities between $E_8\times E_8$ and $Spin(32)/Z_2$ heterotic vacua; non-perturbative heterotic vacua and small instantons; N=2 Type-II/Heterotic duality in D=4 ; F-theory/heterotic duality in D=6; and heterotic/heterotic duality in six and four dimensions.

[ { "created": "Tue, 8 Jul 1997 13:55:01 GMT", "version": "v1" } ]

2016-11-03

[ [ "Ibanez", "L. E.", "" ], [ "Uranga", "A. M.", "" ] ]

We review the structure $D=6, N=1$ string vacua with emphasis on the different connections due to T-dualities and S-dualities. The topics discussed include: Anomaly cancellation; K3 and orbifold $D=6, N=1$ heterotic compactifications; T-dualities between $E_8\times E_8$ and $Spin(32)/Z_2$ heterotic vacua; non-perturbative heterotic vacua and small instantons; N=2 Type-II/Heterotic duality in D=4 ; F-theory/heterotic duality in D=6; and heterotic/heterotic duality in six and four dimensions.

6.494153

5.926192

7.208374

5.805546

6.009051

5.894698

5.731884

5.682435

5.914063

7.308551

5.785108

5.839691

6.681516

5.841652

5.956923

5.872771

5.83662

5.88371

5.766172

6.98935

5.912737

1703.04407

Karl-Henning Rehren

Jens Mund, Karl-Henning Rehren, Bert Schroer

Helicity decoupling in the massless limit of massive tensor fields

30 pages. v4: As published. v3: Introduction completely rewritten; more quantitative treatment of the DVZ issue; references and comments added. v2: Deleted a passage erroneously claimed to be "unknown" in the appendix. An abridged version is arXiv:1703.04408

Nucl. Phys. B 924 (2017) 699-727

10.1016/j.nuclphysb.2017.09.022

null

hep-th math-ph math.MP

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

Massive and massless potentials play an essential role in the perturbative formulation of particle interactions. Many difficulties arise due to the indefinite metric in gauge theoretic approaches, or the increase with the spin of the UV dimension of massive potentials. All these problems can be evaded in one stroke: modify the potentials by suitable terms that leave unchanged the field strengths, but are not polynomial in the momenta. This feature implies a weaker localization property: the potentials are "string-localized". In this setting, several old issues can be solved directly in the physical Hilbert space of the respective particles: We can control the separation of helicities in the massless limit of higher spin fields and conversely we recover massive potentials with 2s+1 degrees of freedom by a smooth deformation of the massless potentials ("fattening"). We construct stress-energy tensors for massless fields of any helicity (thus evading the Weinberg-Witten theorem). We arrive at a simple understanding of the van Dam-Veltman-Zakharov discontinuity concerning, e.g., the distinction between a massless or a very light graviton. Finally, the use of string-localized fields opens new perspectives for interacting quantum field theories with, e.g., vector bosons or gravitons.

[ { "created": "Mon, 13 Mar 2017 14:17:20 GMT", "version": "v1" }, { "created": "Fri, 17 Mar 2017 11:37:21 GMT", "version": "v2" }, { "created": "Wed, 31 May 2017 17:28:35 GMT", "version": "v3" }, { "created": "Fri, 27 Oct 2017 16:32:37 GMT", "version": "v4" } ]

2017-11-28

[ [ "Mund", "Jens", "" ], [ "Rehren", "Karl-Henning", "" ], [ "Schroer", "Bert", "" ] ]

Massive and massless potentials play an essential role in the perturbative formulation of particle interactions. Many difficulties arise due to the indefinite metric in gauge theoretic approaches, or the increase with the spin of the UV dimension of massive potentials. All these problems can be evaded in one stroke: modify the potentials by suitable terms that leave unchanged the field strengths, but are not polynomial in the momenta. This feature implies a weaker localization property: the potentials are "string-localized". In this setting, several old issues can be solved directly in the physical Hilbert space of the respective particles: We can control the separation of helicities in the massless limit of higher spin fields and conversely we recover massive potentials with 2s+1 degrees of freedom by a smooth deformation of the massless potentials ("fattening"). We construct stress-energy tensors for massless fields of any helicity (thus evading the Weinberg-Witten theorem). We arrive at a simple understanding of the van Dam-Veltman-Zakharov discontinuity concerning, e.g., the distinction between a massless or a very light graviton. Finally, the use of string-localized fields opens new perspectives for interacting quantum field theories with, e.g., vector bosons or gravitons.

13.316791

13.897353

15.561514

13.028548

13.822744

13.653603

14.435908

13.853085

14.168845

16.051165

13.378592

13.648425

14.042074

13.536085

13.961934

14.008749

13.58965

13.574586

13.543914

14.343576

13.375032

1912.08332

Hai-Qing Zhang

Hua-Bi Zeng, Chuan-Yin Xia and Hai-Qing Zhang

Topological defects as relics of spontaneous symmetry breaking from black hole physics

14+3 pages, 5+2 figures

JHEP03(2021)136

10.1007/JHEP03(2021)136

null

hep-th cond-mat.str-el

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

Formation and evolution of topological defects in course of non-equilibrium symmetry breaking phase transitions is of wide interest in many areas of physics, from cosmology through condensed matter to low temperature physics. Its study in strongly coupled systems, in absence of quasiparticles, is especially challenging. We investigate breaking of U(1) symmetry and the resulting spontaneous formation of vortices in a $(2+1)$-dimensional holographic superconductor employing gauge/gravity duality, a `first-principles' approach to study strongly coupled systems. Magnetic fluxons with quantized fluxes are seen emerging in the post-transition superconducting phase. As expected in type II superconductors, they are trapped in the cores of the order parameter vortices. The dependence of the density of these topological defects on the quench time, the dispersion of the typical winding numbers in the superconductor, and the vortex-vortex correlations are consistent with predictions of the Kibble-Zurek mechanism.

[ { "created": "Wed, 18 Dec 2019 01:02:25 GMT", "version": "v1" }, { "created": "Tue, 16 Mar 2021 12:44:45 GMT", "version": "v2" } ]

2021-03-17

[ [ "Zeng", "Hua-Bi", "" ], [ "Xia", "Chuan-Yin", "" ], [ "Zhang", "Hai-Qing", "" ] ]

Formation and evolution of topological defects in course of non-equilibrium symmetry breaking phase transitions is of wide interest in many areas of physics, from cosmology through condensed matter to low temperature physics. Its study in strongly coupled systems, in absence of quasiparticles, is especially challenging. We investigate breaking of U(1) symmetry and the resulting spontaneous formation of vortices in a $(2+1)$-dimensional holographic superconductor employing gauge/gravity duality, a `first-principles' approach to study strongly coupled systems. Magnetic fluxons with quantized fluxes are seen emerging in the post-transition superconducting phase. As expected in type II superconductors, they are trapped in the cores of the order parameter vortices. The dependence of the density of these topological defects on the quench time, the dispersion of the typical winding numbers in the superconductor, and the vortex-vortex correlations are consistent with predictions of the Kibble-Zurek mechanism.

7.703163

7.997088

8.155314

7.291095

7.8235

8.394869

8.295509

7.663547

7.443942

8.226007

7.582478

7.59734

7.619474

7.475035

7.407452

7.752005

7.675996

7.294739

7.53084

7.787551

7.484715

2310.19865

Thomas Steingasser

Thomas Steingasser, Morgane K\"onig, David I. Kaiser

Finite-Temperature Instantons from First Principles

6 pages, 5 figures

null

MIT-CTP/5638

hep-th hep-ph

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

We derive the finite-temperature quantum-tunneling rate from first principles. The rate depends on both real- and imaginary-time; we demonstrate that the relevant instantons should therefore be defined on a Schwinger-Keldysh contour, and how the familiar Euclidean-time result arises from it in the limit of large physical times. We generalize previous results for general initial states, and identify distinct behavior in the high- and low-temperature limits, incorporating effects from background fields. We construct a consistent perturbative scheme that incorporates large finite-temperature effects.

[ { "created": "Mon, 30 Oct 2023 18:00:00 GMT", "version": "v1" }, { "created": "Mon, 19 Feb 2024 23:48:01 GMT", "version": "v2" } ]

2024-02-21

[ [ "Steingasser", "Thomas", "" ], [ "König", "Morgane", "" ], [ "Kaiser", "David I.", "" ] ]

We derive the finite-temperature quantum-tunneling rate from first principles. The rate depends on both real- and imaginary-time; we demonstrate that the relevant instantons should therefore be defined on a Schwinger-Keldysh contour, and how the familiar Euclidean-time result arises from it in the limit of large physical times. We generalize previous results for general initial states, and identify distinct behavior in the high- and low-temperature limits, incorporating effects from background fields. We construct a consistent perturbative scheme that incorporates large finite-temperature effects.

14.996798

18.015619

14.649019

14.142848

15.823891

15.49891

15.173183

15.202221

12.718526

15.752337

14.607436

14.854906

15.164493

14.099551

14.734434

14.53867

14.448074

14.059233

13.918648

14.46307

14.306899

hep-th/9703141

John Wheater

Ian I. Kogan and John F. Wheater

ND Tadpoles as New String States and Quantum Mechanical Particle-Wave Duality from World-Sheet T-Duality

10 pages plain LateX2e, 4 eps figures included using epsf. Revised version with extra references

Phys.Lett. B403 (1997) 31-37

10.1016/S0370-2693(97)00485-1

OUTP-97-14P

hep-th

null

We consider new objects in bosonic open string theory -- ND tadpoles, which have N(euman) boundary conditions at one end of the world-sheet and D(irichlet) at the other, must exist due to s-t duality in a string theory with both NN strings and D-branes. We demonstrate how to interpolate between N and D boundary conditions. In the case of mixed boundary conditions the action for a quantum particle is induced on the boundary. Quantum-mechanical particle-wave duality, a dual description of a quantum particle in either the coordinate or the momentum representation, is induced by world-sheet T-duality. The famous relation between compactification radii is equivalent to the quantization of the phase space area of a Planck cell. We also introduce a boundary operator - a ``Zipper'' which changes the boundary condition from N into D and vice versa.

[ { "created": "Thu, 20 Mar 1997 12:31:59 GMT", "version": "v1" }, { "created": "Wed, 26 Mar 1997 15:31:48 GMT", "version": "v2" } ]

2009-10-30

[ [ "Kogan", "Ian I.", "" ], [ "Wheater", "John F.", "" ] ]

We consider new objects in bosonic open string theory -- ND tadpoles, which have N(euman) boundary conditions at one end of the world-sheet and D(irichlet) at the other, must exist due to s-t duality in a string theory with both NN strings and D-branes. We demonstrate how to interpolate between N and D boundary conditions. In the case of mixed boundary conditions the action for a quantum particle is induced on the boundary. Quantum-mechanical particle-wave duality, a dual description of a quantum particle in either the coordinate or the momentum representation, is induced by world-sheet T-duality. The famous relation between compactification radii is equivalent to the quantization of the phase space area of a Planck cell. We also introduce a boundary operator - a ``Zipper'' which changes the boundary condition from N into D and vice versa.

16.591888

16.92087

17.669912

16.196764

17.982737

18.690836

17.444065

15.771111

16.078171

19.335022

16.517391

16.416546

17.244041

15.25762

15.672373

15.726509

15.745354

15.73208

15.882127

17.787231

15.756428

1003.1439

S. E. Korenblit

S.E. Korenblit, V.V. Semenov

Massless Thirring model in canonical quantization scheme

10 pages

S.E. Korenblit, V.V. Semenov, Massless Thirring model in canonical quantization scheme, Journal of Nonlinear Mathematical. Physics Vol. 18, N 1, (2011), 65-74

10.1142/S1402925111001167

null

hep-th

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

It is shown that the exact solvability of the massless Thirring model in the canonical quantization scheme originates from the intrinsic linearizability of its Heisenberg equations in the method of dynamical mappings. The corresponding role of inequivalent representations of free massless Dirac field is elucidated.

[ { "created": "Sun, 7 Mar 2010 06:21:49 GMT", "version": "v1" }, { "created": "Fri, 26 Aug 2011 20:22:20 GMT", "version": "v2" } ]

2015-05-18

[ [ "Korenblit", "S. E.", "" ], [ "Semenov", "V. V.", "" ] ]

It is shown that the exact solvability of the massless Thirring model in the canonical quantization scheme originates from the intrinsic linearizability of its Heisenberg equations in the method of dynamical mappings. The corresponding role of inequivalent representations of free massless Dirac field is elucidated.

12.037659

9.138766

12.301446

10.260949

11.595133

10.272049

11.029566

9.513427

10.069297

12.858467

10.142512

10.506722

10.868084

10.479877

10.424541

10.551158

10.738892

10.781195

10.432587

11.01366

10.533299

hep-th/0510198

Stefan Ulrych

S. Ulrych

The Poincare mass operator in terms of a hyperbolic algebra

5 pages Latex2e

Phys.Lett.B612:89-91 (2005)

10.1016/j.physletb.2005.03.011

null

hep-th

null

The Poincare mass operator can be represented in terms of a Cl(3,0) Clifford algebra. With this representation the quadratic Dirac equation and the Maxwell equations can be derived from the same mathematical structure.

[ { "created": "Sun, 23 Oct 2005 18:53:16 GMT", "version": "v1" } ]

2014-07-22

[ [ "Ulrych", "S.", "" ] ]

The Poincare mass operator can be represented in terms of a Cl(3,0) Clifford algebra. With this representation the quadratic Dirac equation and the Maxwell equations can be derived from the same mathematical structure.

16.080751

13.080731

14.253908

11.414645

10.320326

11.565932

11.095696

10.572972

11.952901

13.448562

11.984118

11.446203

14.446661

12.61593

12.67378

11.330388

12.091978

11.889771

12.091549

13.85078

11.853757

hep-th/9711136

Plamen Bojilov

P. Bozhilov

Tensionless branes and the null string critical dimension

12 pages, LaTeX 2.09. Title changed. Change in the transition from second class constraints to first class ones. Comments, conclusions, references, acknowledgments and report-no added

Mod.Phys.Lett.A13:2571-2583,1998

10.1142/S0217732398002734

JINR-E2-98-84

hep-th

null

BRST quantization is carried out for a model of p-branes with second class constraints. After extension of the phase space the constraint algebra coincides with the one of null string when p=1. It is shown that in this case one can or can not obtain critical dimension for the null string, depending on the choice of the operator ordering and corresponding vacuum states. When p>1, operator orderings leading to critical dimension in the p=1 case are not allowed. Admissable orderings give no restrictions on the dimension of the embedding space-time. Finally, a generalization to supersymmetric null branes is proposed.

[ { "created": "Tue, 18 Nov 1997 14:30:35 GMT", "version": "v1" }, { "created": "Mon, 6 Apr 1998 23:39:28 GMT", "version": "v2" } ]

2011-04-15

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

BRST quantization is carried out for a model of p-branes with second class constraints. After extension of the phase space the constraint algebra coincides with the one of null string when p=1. It is shown that in this case one can or can not obtain critical dimension for the null string, depending on the choice of the operator ordering and corresponding vacuum states. When p>1, operator orderings leading to critical dimension in the p=1 case are not allowed. Admissable orderings give no restrictions on the dimension of the embedding space-time. Finally, a generalization to supersymmetric null branes is proposed.

10.081498

9.737668

11.383972

8.500879

10.183685

8.528169

9.405287

8.942638

9.03947

10.77129

9.617778

9.078565

8.863536

9.158314

9.169808

9.132689

9.057397

8.744835

8.570549

9.026197

9.122445

1307.3190

A. Yu. Petrov

F. S. Gama, J. R. Nascimento, A. Yu. Petrov

On the effective superpotential in the generic higher-derivative superfield supersymmetric three-dimensional gauge theory

13 pages, minor corrections, reference added

Phys. Rev. D88, 045021 (2013)

10.1103/PhysRevD.88.045021

null

hep-th

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

We formulate a generic three-dimensional superfield higher-derivative gauge theory coupled to the matter, which, in certain cases reduces to the three-dimensional scalar super-QED, or supersymmetric Maxwell-Chern-Simons or Chern-Simons theories with matter. For this theory, we explicitly calculate the one-loop effective potential.

[ { "created": "Thu, 11 Jul 2013 17:23:12 GMT", "version": "v1" }, { "created": "Mon, 15 Jul 2013 11:48:34 GMT", "version": "v2" } ]

2013-08-29

[ [ "Gama", "F. S.", "" ], [ "Nascimento", "J. R.", "" ], [ "Petrov", "A. Yu.", "" ] ]

We formulate a generic three-dimensional superfield higher-derivative gauge theory coupled to the matter, which, in certain cases reduces to the three-dimensional scalar super-QED, or supersymmetric Maxwell-Chern-Simons or Chern-Simons theories with matter. For this theory, we explicitly calculate the one-loop effective potential.

11.064796

7.325813

10.168594

8.090622

8.237135

6.882437

6.792138

7.401337

7.680511

12.404023

7.780191

9.391748

11.08804

9.219652

9.881065

9.119673

9.693058

9.054185

9.571617

10.918312

9.170445

0706.1727

Michael Maziashvili

Comment on "Elementary Kaluza-Klein towers revisited"

3 pages

null

hep-th gr-qc

null

Recently the spectrum of KK modes in the framework of one flat extra-dimensional scenario was revisited in the paper Phys. Rev. D74 (2006) 124013, (hep-th/0607246) on the basis of self-adjoint extension of the quantum mechanical operator determining the KK masses. In this Letter we note that the range of allowed boundary conditions on the KK modes is overestimated in above mentioned paper and give all allowed possibilities.

[ { "created": "Tue, 12 Jun 2007 15:29:27 GMT", "version": "v1" }, { "created": "Fri, 21 Dec 2007 17:22:57 GMT", "version": "v2" } ]

2011-11-10

[ [ "Maziashvili", "Michael", "" ] ]

Recently the spectrum of KK modes in the framework of one flat extra-dimensional scenario was revisited in the paper Phys. Rev. D74 (2006) 124013, (hep-th/0607246) on the basis of self-adjoint extension of the quantum mechanical operator determining the KK masses. In this Letter we note that the range of allowed boundary conditions on the KK modes is overestimated in above mentioned paper and give all allowed possibilities.

13.036836

11.912074

9.958948

10.540717

9.346178

12.283618

10.943505

11.045237

11.169976

12.415051

10.672112

10.849105

11.239537

10.718689

11.192097

11.093535

10.686588

10.606174

11.076354

11.077381

10.747741

0909.5298

Daniela Klammer

Daniela Klammer, Harold Steinacker

Fermions and noncommutative emergent gravity II: Curved branes in extra dimensions

34 pages; minor changes

JHEP 1002:074,2010

10.1007/JHEP02(2010)074

UWTHPh-2009-09

hep-th

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

We study fermions coupled to Yang-Mills matrix models from the point of view of emergent gravity. The matrix model Dirac operator provides an appropriate coupling for fermions to the effective gravitational metric for general branes with nontrivial embedding, albeit with a non-standard spin connection. This generalizes previous results for 4-dimensional matrix models. Integrating out the fermions in a nontrivial geometrical background induces indeed the Einstein-Hilbert action of the effective metric, as well as additional terms which couple the Poisson tensor to the Riemann tensor, and a dilaton-like term.

[ { "created": "Tue, 29 Sep 2009 15:12:59 GMT", "version": "v1" }, { "created": "Thu, 14 Jan 2010 17:29:08 GMT", "version": "v2" } ]

2010-02-23

[ [ "Klammer", "Daniela", "" ], [ "Steinacker", "Harold", "" ] ]

We study fermions coupled to Yang-Mills matrix models from the point of view of emergent gravity. The matrix model Dirac operator provides an appropriate coupling for fermions to the effective gravitational metric for general branes with nontrivial embedding, albeit with a non-standard spin connection. This generalizes previous results for 4-dimensional matrix models. Integrating out the fermions in a nontrivial geometrical background induces indeed the Einstein-Hilbert action of the effective metric, as well as additional terms which couple the Poisson tensor to the Riemann tensor, and a dilaton-like term.

10.109898

8.993203

10.767451

9.022059

8.418016

8.795157

8.738897

8.617948

8.987446

11.447134

9.141771

9.723948

9.688424

9.395542

9.416101

9.328834

9.350597

9.336895

9.423556

9.77545

9.468406

1202.6613

Takahiro Nishinaka

The gravity duals of SO/USp superconformal quivers

27 pages, 13 figures; v2 minor corrections, typos corrected, Figure 13 replaced, references added

null

10.1007/JHEP07(2012)080

null

hep-th

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

We study the gravity duals of SO/USp superconformal quiver gauge theories realized by M5-branes wrapping on a Riemann surface ("G-curve") together with a Z_2-quotient. When the G-curve has no punctures, the gravity solutions are classified by the genus g of the G-curve and the torsion part of the four-form flux G_4. We also find that there is an interesting relation between anomaly contributions from two mysterious theories: T_{SO(2N)} theory with SO(2N)^3 flavor symmetry and \tilde{T}_{SO(2N)} theory with SO(2N) x USp(2N-2)^2 flavor symmetry. The dual gravity solutions for various SO/USp-type tails are also studied.

[ { "created": "Wed, 29 Feb 2012 17:23:35 GMT", "version": "v1" }, { "created": "Thu, 19 Apr 2012 15:40:16 GMT", "version": "v2" } ]

2015-06-04

[ [ "Nishinaka", "Takahiro", "" ] ]

We study the gravity duals of SO/USp superconformal quiver gauge theories realized by M5-branes wrapping on a Riemann surface ("G-curve") together with a Z_2-quotient. When the G-curve has no punctures, the gravity solutions are classified by the genus g of the G-curve and the torsion part of the four-form flux G_4. We also find that there is an interesting relation between anomaly contributions from two mysterious theories: T_{SO(2N)} theory with SO(2N)^3 flavor symmetry and \tilde{T}_{SO(2N)} theory with SO(2N) x USp(2N-2)^2 flavor symmetry. The dual gravity solutions for various SO/USp-type tails are also studied.

8.209586

7.953844

8.848829

7.530245

8.155841

8.034709

7.109736

7.385965

7.549581

10.630605

7.455023

7.492042

8.001375

7.504388

7.640217

7.685372

8.072467

7.235873

7.510123

8.158679

7.573522

2004.08387

Ivo Petr

Ladislav Hlavat\'y and Ivo Petr

T-folds as Poisson-Lie plurals

v3 - published version

Eur. Phys. J. C 80, 892 (2020)

10.1140/epjc/s10052-020-08446-1

null

hep-th gr-qc

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

In previous papers we have presented many purely bosonic solutions of Generalized Supergravity Equations obtained by Poisson-Lie T-duality and plurality of flat and Bianchi cosmologies. In this paper we focus on their compactifications and identify solutions that can be interpreted as T-folds. To recognize T-folds we adopt the language of Double Field Theory and discuss how Poisson-Lie T-duality/plurality fits into this framework. As a special case we confirm that all non-Abelian T-duals can be compactified as T-folds.

[ { "created": "Fri, 17 Apr 2020 10:26:17 GMT", "version": "v1" }, { "created": "Thu, 7 May 2020 11:35:36 GMT", "version": "v2" }, { "created": "Tue, 29 Sep 2020 14:24:48 GMT", "version": "v3" } ]

2020-09-30

[ [ "Hlavatý", "Ladislav", "" ], [ "Petr", "Ivo", "" ] ]

In previous papers we have presented many purely bosonic solutions of Generalized Supergravity Equations obtained by Poisson-Lie T-duality and plurality of flat and Bianchi cosmologies. In this paper we focus on their compactifications and identify solutions that can be interpreted as T-folds. To recognize T-folds we adopt the language of Double Field Theory and discuss how Poisson-Lie T-duality/plurality fits into this framework. As a special case we confirm that all non-Abelian T-duals can be compactified as T-folds.

12.607388

9.913308

14.02479

11.626208

11.232781

10.34744

10.014975

10.9095

11.374269

13.731986

10.407728

10.581513

12.103296

10.853578

11.219826

10.66992

11.348477

11.302096

10.909401

12.007756

11.189924

2301.12845

Poulami Nandi

Arpan Bhattacharyya, Poulami Nandi

Circuit Complexity for Carrollian Conformal (BMS) Field Theories

29 pages, v2: references added, published version

JHEP07(2023)105

10.1007/JHEP07(2023)105

null

hep-th

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

We systematically explore the construction of Nielsen's circuit complexity to a non-Lorentzian field theory keeping in mind its connection with flat holography. We consider a 2d boundary field theory dual to 3d asymptotically flat spacetimes with infinite-dimensional BMS_3 as the asymptotic symmetry algebra. We compute the circuit complexity functional in two distinct ways. For the Virasoro group, the complexity functional resembles the geometric action on its co-adjoint orbit. Using the limiting approach on the relativistic results, we show that it is possible to write BMS complexity in terms of the geometric action on BMS co-adjoint orbit. However, the limiting approach fails to capture essential information about the conserved currents generating BMS supertranslations. Hence, we refine our analysis using the intrinsic approach. Here, we use only the symmetry transformations and group product laws of BMS to write the complexity functional. The refined analysis shows a richer structure than only the geometric action. Lastly, we extremize and solve the equations of motion (for a simple solution) in terms of the group paths and connect our results with available literature.

[ { "created": "Mon, 30 Jan 2023 12:55:03 GMT", "version": "v1" }, { "created": "Mon, 17 Jul 2023 11:24:27 GMT", "version": "v2" } ]

2023-07-18

[ [ "Bhattacharyya", "Arpan", "" ], [ "Nandi", "Poulami", "" ] ]

We systematically explore the construction of Nielsen's circuit complexity to a non-Lorentzian field theory keeping in mind its connection with flat holography. We consider a 2d boundary field theory dual to 3d asymptotically flat spacetimes with infinite-dimensional BMS_3 as the asymptotic symmetry algebra. We compute the circuit complexity functional in two distinct ways. For the Virasoro group, the complexity functional resembles the geometric action on its co-adjoint orbit. Using the limiting approach on the relativistic results, we show that it is possible to write BMS complexity in terms of the geometric action on BMS co-adjoint orbit. However, the limiting approach fails to capture essential information about the conserved currents generating BMS supertranslations. Hence, we refine our analysis using the intrinsic approach. Here, we use only the symmetry transformations and group product laws of BMS to write the complexity functional. The refined analysis shows a richer structure than only the geometric action. Lastly, we extremize and solve the equations of motion (for a simple solution) in terms of the group paths and connect our results with available literature.

13.902814

12.079917

15.913637

13.110752

12.724566

13.293859

12.339447

13.717556

12.853299

15.565547

12.557768

13.319401

14.026154

13.402523

13.380493

13.570567

13.494058

13.217964

13.365138

14.501823

13.257274

1108.2381

Pawe{\l} Caputa

Pawel Caputa, Shinji Hirano

Observations on Open and Closed String Scattering Amplitudes at High Energies

17 pages, 5 figures; v2: references added

null

10.1007/JHEP02(2012)111

null

hep-th

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

We study massless open and closed string scattering amplitudes in flat space at high energies. Similarly to the case of AdS space, we demonstrate that, under the T-duality map, the open string amplitudes are given by the exponential of minus minimal surface areas whose boundaries are cusped closed loops formed by lightlike momentum vectors. We show further that the closed string amplitudes are obtained by gluing two copies of minimal surfaces along their cusped lightlike boundaries. This can be thought of as a manifestation of the Kawai-Lewellen-Tye (KLT) relation at high energies. We also discuss the KLT relation in AdS/CFT and its possible connection to amplitudes in N=8 supergravity as well as the correlator/amplitude duality.

[ { "created": "Thu, 11 Aug 2011 12:05:09 GMT", "version": "v1" }, { "created": "Fri, 19 Aug 2011 12:29:32 GMT", "version": "v2" } ]

2015-05-30

[ [ "Caputa", "Pawel", "" ], [ "Hirano", "Shinji", "" ] ]

We study massless open and closed string scattering amplitudes in flat space at high energies. Similarly to the case of AdS space, we demonstrate that, under the T-duality map, the open string amplitudes are given by the exponential of minus minimal surface areas whose boundaries are cusped closed loops formed by lightlike momentum vectors. We show further that the closed string amplitudes are obtained by gluing two copies of minimal surfaces along their cusped lightlike boundaries. This can be thought of as a manifestation of the Kawai-Lewellen-Tye (KLT) relation at high energies. We also discuss the KLT relation in AdS/CFT and its possible connection to amplitudes in N=8 supergravity as well as the correlator/amplitude duality.

6.941983

7.639995

7.818212

6.978868

7.329306

7.599181

8.141726

7.359219

6.83716

8.325037

7.080624

6.704089

7.056921

6.641162

6.587607

6.751783

6.692241

6.838817

6.790422

6.758455

6.374992

hep-th/0503180

Michael Gutperle

Eric D'Hoker, Michael Gutperle and D.H. Phong

Two-loop superstrings and S-duality

44 pages, LaTeX, epsfig, 1 figure

Nucl.Phys. B722 (2005) 81-118

10.1016/j.nuclphysb.2005.06.010

UCLA/05/TEP/08

hep-th math.CV

null

The two-loop contribution to the Type IIB low energy effective action term $D^4 R^4$, predicted by SL(2,Z) duality, is compared with that of the two-loop 4-point function derived recently in superstring perturbation theory through the method of projection onto super period matrices. For this, the precise overall normalization of the 4-point function is determined through factorization. The resulting contributions to $D^4 R^4$ match exactly, thus providing an indirect check of SL(2,Z) duality. The two-loop Heterotic low energy term $D^2F^4$ is evaluated in string perturbation theory; its form is closely related to the $D^4 R^4$ term in Type II, although its significance to duality is an open issue.

[ { "created": "Wed, 23 Mar 2005 18:08:58 GMT", "version": "v1" } ]

2009-11-11

[ [ "D'Hoker", "Eric", "" ], [ "Gutperle", "Michael", "" ], [ "Phong", "D. H.", "" ] ]

The two-loop contribution to the Type IIB low energy effective action term $D^4 R^4$, predicted by SL(2,Z) duality, is compared with that of the two-loop 4-point function derived recently in superstring perturbation theory through the method of projection onto super period matrices. For this, the precise overall normalization of the 4-point function is determined through factorization. The resulting contributions to $D^4 R^4$ match exactly, thus providing an indirect check of SL(2,Z) duality. The two-loop Heterotic low energy term $D^2F^4$ is evaluated in string perturbation theory; its form is closely related to the $D^4 R^4$ term in Type II, although its significance to duality is an open issue.

9.077429

7.935291

9.437485

8.546657

9.072265

8.540687

8.177491

8.318292

8.549973

10.387373

8.334029

8.686647

8.819536

8.541569

8.577643

8.569287

8.719889

8.666238

8.501457

9.046416

8.330999

1012.0911

Anton Kapustin

Anton Kapustin, Natalia Saulina

Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory

20 pages, latex; 17 jpg figures

null

hep-th math.QA

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

We study surface operators in 3d Topological Field Theory and their relations with 2d Rational Conformal Field Theory. We show that a surface operator gives rise to a consistent gluing of chiral and anti-chiral sectors in the 2d RCFT. The algebraic properties of the resulting 2d RCFT, such as the classification of symmetry-preserving boundary conditions, are expressed in terms of properties of the surface operator. We show that to every surface operator one may attach a Morita-equivalence class of symmetric Frobenius algebras in the ribbon category of bulk line operators. This provides a simple interpretation of the results of Fuchs, Runkel and Schweigert on the construction of 2d RCFTs from Frobenius algebras. We also show that every topological boundary condition in a 3d TFT gives rise to a commutative Frobenius algebra in the category of bulk line operators. We illustrate these general considerations by studying in detail surface operators in abelian Chern-Simons theory.

[ { "created": "Sat, 4 Dec 2010 12:33:11 GMT", "version": "v1" } ]

2015-03-17

[ [ "Kapustin", "Anton", "" ], [ "Saulina", "Natalia", "" ] ]

We study surface operators in 3d Topological Field Theory and their relations with 2d Rational Conformal Field Theory. We show that a surface operator gives rise to a consistent gluing of chiral and anti-chiral sectors in the 2d RCFT. The algebraic properties of the resulting 2d RCFT, such as the classification of symmetry-preserving boundary conditions, are expressed in terms of properties of the surface operator. We show that to every surface operator one may attach a Morita-equivalence class of symmetric Frobenius algebras in the ribbon category of bulk line operators. This provides a simple interpretation of the results of Fuchs, Runkel and Schweigert on the construction of 2d RCFTs from Frobenius algebras. We also show that every topological boundary condition in a 3d TFT gives rise to a commutative Frobenius algebra in the category of bulk line operators. We illustrate these general considerations by studying in detail surface operators in abelian Chern-Simons theory.

4.056173

4.425176

4.636855

3.979291

4.119508

3.994369

4.307221

4.00581

4.036759

4.681488

4.075071

3.944082

4.385382

3.965307

3.987803

4.053659

3.91659

4.107539

3.94323

4.235085

4.041556

hep-th/9411174

Nicholas Landsman

N.P. Landsman and U.A. Wiedemann

Massless particles, electromagnetism, and Rieffel induction

LaTeX, 52 pages

Rev.Math.Phys. 7 (1995) 923

10.1142/S0129055X95000359

null

hep-th

null

The connection between space-time covariant representations (obtained by inducing from the Lorentz group) and irreducible unitary representations (induced from Wigner's little group) of the Poincar\'{e} group is re-examined in the massless case. In the situation relevant to physics, it is found that these are related by Marsden-Weinstein reduction with respect to a gauge group. An analogous phenomenon is observed for classical massless relativistic particles. This symplectic reduction procedure can be (`second') quantized using a generalization of the Rieffel induction technique in operator algebra theory, which is carried through in detail for electro- magnetism. Starting from the so-called Fermi representation of the field algebra generated by the free abelian gauge field, we construct a new (`rigged') sesquilinear form on the representation space, which is positive semi-definite, and given in terms of a Gaussian weak distribution (promeasure) on the gauge group (taken to be a Hilbert Lie group). This eventually constructs the algebra of observables of quantum electro- magnetism (directly in its vacuum representation) as a representation of the so-called algebra of weak observables induced by the trivial representation of the gauge group.

[ { "created": "Wed, 23 Nov 1994 17:45:48 GMT", "version": "v1" } ]

2015-06-26

[ [ "Landsman", "N. P.", "" ], [ "Wiedemann", "U. A.", "" ] ]

The connection between space-time covariant representations (obtained by inducing from the Lorentz group) and irreducible unitary representations (induced from Wigner's little group) of the Poincar\'{e} group is re-examined in the massless case. In the situation relevant to physics, it is found that these are related by Marsden-Weinstein reduction with respect to a gauge group. An analogous phenomenon is observed for classical massless relativistic particles. This symplectic reduction procedure can be (`second') quantized using a generalization of the Rieffel induction technique in operator algebra theory, which is carried through in detail for electro- magnetism. Starting from the so-called Fermi representation of the field algebra generated by the free abelian gauge field, we construct a new (`rigged') sesquilinear form on the representation space, which is positive semi-definite, and given in terms of a Gaussian weak distribution (promeasure) on the gauge group (taken to be a Hilbert Lie group). This eventually constructs the algebra of observables of quantum electro- magnetism (directly in its vacuum representation) as a representation of the so-called algebra of weak observables induced by the trivial representation of the gauge group.

9.673218

10.847568

11.248403

10.290428

11.459493

11.948995

11.068099

10.38668

9.637916

12.022188

10.124129

10.093703

9.917521

9.639073

9.753412

9.807324

9.745035

9.701465

9.715427

9.716105

9.66337

hep-th/0006050

Sergey A. Cherkis

Sergey A. Cherkis and Anton Kapustin

Nahm Transform For Periodic Monopoles And N=2 Super Yang-Mills Theory

48 pages, AMS latex. v2: several minor errors corrected, exposition improved

Commun.Math.Phys. 218 (2001) 333-371

10.1007/PL00005558

IASSNS-HEP-00/44, UCLA-00TEP-17, CITUSC/00-25

hep-th math.AG math.DG

null

We study Bogomolny equations on $R^2\times S^1$. Although they do not admit nontrivial finite-energy solutions, we show that there are interesting infinite-energy solutions with Higgs field growing logarithmically at infinity. We call these solutions periodic monopoles. Using Nahm transform, we show that periodic monopoles are in one-to-one correspondence with solutions of Hitchin equations on a cylinder with Higgs field growing exponentially at infinity. The moduli spaces of periodic monopoles belong to a novel class of hyperk\"ahler manifolds and have applications to quantum gauge theory and string theory. For example, we show that the moduli space of $k$ periodic monopoles provides the exact solution of ${\cal N}=2$ super Yang-Mills theory with gauge group $SU(k)$ compactified on a circle of arbitrary radius.

[ { "created": "Wed, 7 Jun 2000 03:35:07 GMT", "version": "v1" }, { "created": "Fri, 7 Jul 2000 17:14:46 GMT", "version": "v2" } ]

2009-10-31

[ [ "Cherkis", "Sergey A.", "" ], [ "Kapustin", "Anton", "" ] ]

We study Bogomolny equations on $R^2\times S^1$. Although they do not admit nontrivial finite-energy solutions, we show that there are interesting infinite-energy solutions with Higgs field growing logarithmically at infinity. We call these solutions periodic monopoles. Using Nahm transform, we show that periodic monopoles are in one-to-one correspondence with solutions of Hitchin equations on a cylinder with Higgs field growing exponentially at infinity. The moduli spaces of periodic monopoles belong to a novel class of hyperk\"ahler manifolds and have applications to quantum gauge theory and string theory. For example, we show that the moduli space of $k$ periodic monopoles provides the exact solution of ${\cal N}=2$ super Yang-Mills theory with gauge group $SU(k)$ compactified on a circle of arbitrary radius.

4.523027

4.287153

4.91145

4.433907

4.505928

4.409636

4.41041

4.528363

4.514287

5.464876

4.473094

4.432891

4.769509

4.438695

4.303032

4.324191

4.436038

4.543422

4.448803

4.68763

4.422949

2312.13243

Alberto Guijosa

Daniel \'Avila, Alberto Guijosa, Rafael Olmedo

Asymptotically Nonrelativistic String Backgrounds

18+1 pages; v2: added references

null

hep-th

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

In recent years, interesting curved-space extensions of nonrelativistic (NR) string theory have been very actively pursued, where the background has a structure that is a stringy generalization of Newton-Cartan geometry. Here we show that the natural black branes of the NR theory, sourced by the familiar repertoire of stringy objects, generally have a different structure. The black string is our main example. We find that the source distorts the background significantly, generating a large throat within which physics is in fact relativistic. It is only far away from the throat that the background approaches the string Newton-Cartan form. We show that exactly the same is true for the longitudinal RR-charged black brane. On the other hand, the transverse RR-charged black brane turns out to have a proper string Newton-Cartan structure everywhere, not just asymptotically.

[ { "created": "Wed, 20 Dec 2023 18:13:28 GMT", "version": "v1" }, { "created": "Tue, 2 Jan 2024 21:46:46 GMT", "version": "v2" } ]

2024-01-04

[ [ "Ávila", "Daniel", "" ], [ "Guijosa", "Alberto", "" ], [ "Olmedo", "Rafael", "" ] ]

In recent years, interesting curved-space extensions of nonrelativistic (NR) string theory have been very actively pursued, where the background has a structure that is a stringy generalization of Newton-Cartan geometry. Here we show that the natural black branes of the NR theory, sourced by the familiar repertoire of stringy objects, generally have a different structure. The black string is our main example. We find that the source distorts the background significantly, generating a large throat within which physics is in fact relativistic. It is only far away from the throat that the background approaches the string Newton-Cartan form. We show that exactly the same is true for the longitudinal RR-charged black brane. On the other hand, the transverse RR-charged black brane turns out to have a proper string Newton-Cartan structure everywhere, not just asymptotically.

11.044549

10.561474

11.47028

10.185713

10.141601

9.765233

10.555165

10.731169

9.991246

12.378386

10.387901

10.075618

10.554864

10.041141

10.11794

9.92826

9.881742

10.297915

10.148783

10.614024

10.5336

1912.09950

Marco Peloso

Gianguido Dall'Agata, Sergio Gonzalez-Martin, Alexandros Papageorgiou, Marco Peloso

Warm dark energy

35 pages

null

10.1088/1475-7516/2020/08/032

null

hep-th astro-ph.CO hep-ph

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

Motivated by some of the recent swampland conjectures, we study the implementation for the late time acceleration of the Universe of a mechanism developed by Anber and Sorbo in the context of primordial inflation, in which an axion field can slowly roll in a steep potential due to additional friction provided by its coupling to some U(1) gauge field. We first study the realization of this mechanism in N = 2 supergravity models resulting from string compactifications on Calabi--Yau manifolds. We then study the transition between matter domination and the axion domination, and show that indeed the backreaction of the produced gauge field can sufficiently slow the motion of the axion, so to produce the present accelerated era. We finally study the transition from a pre-inflationary matter or radiation domination to primordial inflation. In the regime that we could explore numerically, the evolution is characterized by stages of faster axion roll (and consequent bursts of gauge field amplification) intermitted by stages of slower roll, with a pattern that "oscillates'' about the steady state Anber and Sorbo solution, but that does not appear to relax to it.

[ { "created": "Fri, 20 Dec 2019 17:19:10 GMT", "version": "v1" } ]

2020-09-02

[ [ "Dall'Agata", "Gianguido", "" ], [ "Gonzalez-Martin", "Sergio", "" ], [ "Papageorgiou", "Alexandros", "" ], [ "Peloso", "Marco", "" ] ]

Motivated by some of the recent swampland conjectures, we study the implementation for the late time acceleration of the Universe of a mechanism developed by Anber and Sorbo in the context of primordial inflation, in which an axion field can slowly roll in a steep potential due to additional friction provided by its coupling to some U(1) gauge field. We first study the realization of this mechanism in N = 2 supergravity models resulting from string compactifications on Calabi--Yau manifolds. We then study the transition between matter domination and the axion domination, and show that indeed the backreaction of the produced gauge field can sufficiently slow the motion of the axion, so to produce the present accelerated era. We finally study the transition from a pre-inflationary matter or radiation domination to primordial inflation. In the regime that we could explore numerically, the evolution is characterized by stages of faster axion roll (and consequent bursts of gauge field amplification) intermitted by stages of slower roll, with a pattern that "oscillates'' about the steady state Anber and Sorbo solution, but that does not appear to relax to it.

9.903932

11.057549

9.943427

9.563123

10.889441

10.080019

10.027017

10.368173

9.723899

10.899472

10.195923

9.597465

9.907347

9.708971

10.012267

9.67647

10.011673

9.805933

9.650408

10.109902

9.915134

1102.3042

Sergei Kuzenko

Sergei M. Kuzenko and Simon J. Tyler

Complex linear superfield as a model for Goldstino

8 pages; V2: references and comments added; V3: typos in eq. (4) corrected

JHEP 1104:057, 2011

10.1007/JHEP04(2011)057

null

hep-th

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

We propose a Goldstino model formulated in terms of a constrained complex linear superfield. Its comparison to other Goldstino models is given. Couplings to supersymmetric matter and supergravity are briefly described.

[ { "created": "Tue, 15 Feb 2011 11:34:50 GMT", "version": "v1" }, { "created": "Thu, 3 Mar 2011 10:00:26 GMT", "version": "v2" }, { "created": "Thu, 25 Aug 2016 06:36:57 GMT", "version": "v3" } ]

2016-08-26

[ [ "Kuzenko", "Sergei M.", "" ], [ "Tyler", "Simon J.", "" ] ]

We propose a Goldstino model formulated in terms of a constrained complex linear superfield. Its comparison to other Goldstino models is given. Couplings to supersymmetric matter and supergravity are briefly described.

15.273074

9.95682

14.226798

9.859632

9.534473

9.408992

9.478505

9.117625

9.410486

13.417445

10.322887

12.368353

12.888734

11.505755

11.30068

11.412313

11.056202

11.329116

11.789919

11.952824

11.950624

hep-th/9703113

Kelly Davis

K. Davis (Rutgers University)

Generalized Topological Sigma Model

Uses harvmac.tex , 19 pages ( w/b-option ), Typos fixed

null

RU-XX

hep-th

null

In this article we will examine a "generalized topological sigma model." This so-called "generalized topological sigma model" is the M-Theoretic analog of the standard topological sigma model of string theory. We find that the observables of the theory are elements in the cohomology ring of the moduli space of supersymmetric maps; in addition, we find that the correlation functions of such observables allow us to compute non-perturbative corrections to the four-fermion terms present in M-Theory on a six-dimensional Calabi-Yau.

[ { "created": "Sun, 16 Mar 1997 21:57:10 GMT", "version": "v1" }, { "created": "Sun, 13 Apr 1997 22:45:25 GMT", "version": "v2" }, { "created": "Mon, 21 Apr 1997 00:32:39 GMT", "version": "v3" } ]

2008-02-03

[ [ "Davis", "K.", "", "Rutgers University" ] ]

In this article we will examine a "generalized topological sigma model." This so-called "generalized topological sigma model" is the M-Theoretic analog of the standard topological sigma model of string theory. We find that the observables of the theory are elements in the cohomology ring of the moduli space of supersymmetric maps; in addition, we find that the correlation functions of such observables allow us to compute non-perturbative corrections to the four-fermion terms present in M-Theory on a six-dimensional Calabi-Yau.

7.632485

8.042189

8.290023

7.457796

7.806302

7.394408

7.34298

6.715709

6.829051

8.063405

7.015343

7.235116

7.292192

7.022565

7.147679

6.95197

7.017393

6.963384

6.999176

7.589001

7.077316

hep-th/0009167

Zygmunt Lalak

Adam Falkowski, Zygmunt Lalak, Stefan Pokorski

Five-Dimensional Gauged Supergravities with Universal Hypermultiplet and Warped Brane Worlds

15 pages, Latex

Phys.Lett.B509:337-345,2001

10.1016/S0370-2693(01)00269-6

null

hep-th

null

We present five dimensional gauged supergravity with universal hypermultiplet on M_4 \times S^1 / Z_2 coupled supersymmetrically to three-branes located at the fixed points. The construction is extended to the smooth picture with auxiliary singlet and four-form fields. The model admits the Randall-Sundrum solution as a BPS vacuum with vanishing energy. We give the form of all KK-tower modes for fields present in the model.

[ { "created": "Thu, 21 Sep 2000 22:12:50 GMT", "version": "v1" } ]

2014-11-18

[ [ "Falkowski", "Adam", "" ], [ "Lalak", "Zygmunt", "" ], [ "Pokorski", "Stefan", "" ] ]

We present five dimensional gauged supergravity with universal hypermultiplet on M_4 \times S^1 / Z_2 coupled supersymmetrically to three-branes located at the fixed points. The construction is extended to the smooth picture with auxiliary singlet and four-form fields. The model admits the Randall-Sundrum solution as a BPS vacuum with vanishing energy. We give the form of all KK-tower modes for fields present in the model.

17.238508

13.627383

18.32539

14.77764

13.932838

12.891552

14.322803

15.342867

13.73472

16.016687

14.942879

14.571644

14.647169

14.58685

15.375748

15.742004

14.480914

14.83109

13.903296

15.495765

15.148395

hep-th/9504015

null

Laurent Baulieu

On The Symmetries Of Topological Quantum Field Theories

23 pages, Latex, no figures, corrected due to the fact that some line lengths were exceeding 80 characters

Int.J.Mod.Phys. A10 (1995) 4483-4500

null

PAR--LPTHE 95--04

hep-th

null

We display properties of the general formalism which associates to any given gauge symmetry a topological action and a system of topological BRST and anti-BRST equations. We emphasize the distinction between the antighosts of the geometrical BRST equations and the antighosts occuring in field theory. We propose a transmutation mechanism between these objects. We illustrate our general presentation by examples.

[ { "created": "Wed, 5 Apr 1995 13:40:27 GMT", "version": "v1" }, { "created": "Thu, 6 Apr 1995 13:33:41 GMT", "version": "v2" } ]

2008-02-03

[ [ "Baulieu", "Laurent", "" ] ]

We display properties of the general formalism which associates to any given gauge symmetry a topological action and a system of topological BRST and anti-BRST equations. We emphasize the distinction between the antighosts of the geometrical BRST equations and the antighosts occuring in field theory. We propose a transmutation mechanism between these objects. We illustrate our general presentation by examples.

15.627371

13.178323

13.441049

12.39825

12.043326

12.247026

12.217294

12.838148

12.457801

14.786909

13.833819

13.118041

14.51625

13.555524

13.268505

13.399754

12.899401

13.528687

13.691657

14.011038

13.164916

1512.01579

Luca Pontiggia Mr

Yang-Hui He, Vishnu Jejjala, Luca Pontiggia

Patterns in Calabi-Yau Distributions

62 pages, 22 figures in main text, LaTeX, v.3: section 2.5 added; minor edits; matches version in CMP

Communications in Mathematical Physics, 354(2), 477-524 (2017)

10.1007/s00220-017-2907-9

null

hep-th math.AG

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

We explore the distribution of topological numbers in Calabi-Yau manifolds, using the Kreuzer-Skarke dataset of hypersurfaces in toric varieties as a testing ground. While the Hodge numbers are well-known to exhibit mirror symmetry, patterns in frequencies of combination thereof exhibit striking new patterns. We find pseudo-Voigt and Planckian distributions with high confidence and exact fit for many substructures. The patterns indicate typicality within the landscape of Calabi-Yau manifolds of various dimension.

[ { "created": "Wed, 2 Dec 2015 21:08:33 GMT", "version": "v1" }, { "created": "Tue, 15 Dec 2015 17:15:01 GMT", "version": "v2" }, { "created": "Tue, 27 Jun 2017 08:52:07 GMT", "version": "v3" } ]

2017-06-28

[ [ "He", "Yang-Hui", "" ], [ "Jejjala", "Vishnu", "" ], [ "Pontiggia", "Luca", "" ] ]

We explore the distribution of topological numbers in Calabi-Yau manifolds, using the Kreuzer-Skarke dataset of hypersurfaces in toric varieties as a testing ground. While the Hodge numbers are well-known to exhibit mirror symmetry, patterns in frequencies of combination thereof exhibit striking new patterns. We find pseudo-Voigt and Planckian distributions with high confidence and exact fit for many substructures. The patterns indicate typicality within the landscape of Calabi-Yau manifolds of various dimension.

18.44087

22.229292

23.546963

18.385109

20.205017

22.710443

20.596443

17.167284

18.515331

28.52969

17.461946

18.255342

19.165319

18.049326

17.950075

18.731466

18.438772

17.961222

17.702715

19.97575

17.191429

1908.03273

Brianna Grado-White

Zicao Fu, Brianna Grado-White, Donald Marolf

Traversable Asymptotically Flat Wormholes with Short Transit Times

23 pages, 5 figures

Class. Quantum Grav. 36 (2019) 245018

10.1088/1361-6382/ab56e4

null

hep-th gr-qc

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

We construct traversable wormholes by starting with simple four-dimensional classical solutions respecting the null energy condition and containing a pair of oppositely charged black holes connected by a non-traversable wormhole. We then consider the perturbative back-reaction of bulk quantum fields in Hartle-Hawking states. Our geometries have zero cosmological constant and are asymptotically flat except for a cosmic string stretching to infinity that is used to hold the black holes apart. Another cosmic string wraps the non-contractible cycle through the wormhole, and its quantum fluctuations provide the negative energy needed for traversability. Our setting is closely related to the non-perturbative construction of Maldacena, Milekhin, and Popov (MMP), but the analysis is complementary. In particular, we consider cases where back-reaction slows, but fails to halt, the collapse of the wormhole interior, so that the wormhole is traversable only at sufficiently early times. For non-extremal backgrounds, we find the integrated null energy along the horizon of the classical background to be exponentially small, and thus traversability to be exponentially fragile. Nevertheless, if there are no larger perturbations, and for appropriately timed signals, a wormhole with mouths separated by a distance $d$ becomes traversable with a minimum transit time $t_{\text{min transit}} = d + \text{logs}$. Thus $\frac{t_{\text{min transit}}}{d}$ is smaller than for the eternally traversable MMP wormholes by more than a factor of 2, and approaches the value that, at least in higher dimensions, would be the theoretical minimum. For contrast we also briefly consider a `cosmological wormhole' solution where the back-reaction has the opposite sign, so that negative energy from quantum fields makes the wormhole harder to traverse.

[ { "created": "Thu, 8 Aug 2019 21:49:14 GMT", "version": "v1" }, { "created": "Tue, 12 Nov 2019 18:07:34 GMT", "version": "v2" } ]

2020-01-03

[ [ "Fu", "Zicao", "" ], [ "Grado-White", "Brianna", "" ], [ "Marolf", "Donald", "" ] ]

We construct traversable wormholes by starting with simple four-dimensional classical solutions respecting the null energy condition and containing a pair of oppositely charged black holes connected by a non-traversable wormhole. We then consider the perturbative back-reaction of bulk quantum fields in Hartle-Hawking states. Our geometries have zero cosmological constant and are asymptotically flat except for a cosmic string stretching to infinity that is used to hold the black holes apart. Another cosmic string wraps the non-contractible cycle through the wormhole, and its quantum fluctuations provide the negative energy needed for traversability. Our setting is closely related to the non-perturbative construction of Maldacena, Milekhin, and Popov (MMP), but the analysis is complementary. In particular, we consider cases where back-reaction slows, but fails to halt, the collapse of the wormhole interior, so that the wormhole is traversable only at sufficiently early times. For non-extremal backgrounds, we find the integrated null energy along the horizon of the classical background to be exponentially small, and thus traversability to be exponentially fragile. Nevertheless, if there are no larger perturbations, and for appropriately timed signals, a wormhole with mouths separated by a distance $d$ becomes traversable with a minimum transit time $t_{\text{min transit}} = d + \text{logs}$. Thus $\frac{t_{\text{min transit}}}{d}$ is smaller than for the eternally traversable MMP wormholes by more than a factor of 2, and approaches the value that, at least in higher dimensions, would be the theoretical minimum. For contrast we also briefly consider a `cosmological wormhole' solution where the back-reaction has the opposite sign, so that negative energy from quantum fields makes the wormhole harder to traverse.

8.781374

9.853895

9.693271

9.100993

9.183774

9.585418

9.898379

8.932238

8.679318

10.50596

8.793225

8.793626

8.977054

8.767302

8.934423

8.778445

8.889985

8.973154

8.699336

9.255054

8.677335

1406.7336

Pablo Pisani

Sebasti\'an Franchino Vi\~nas and Pablo Pisani

Worldline approach to the Grosse-Wulkenhaar model

22 pages, 2 figures. Matches the published version. New section added where the degenerate case is also considered

JHEP 1411 (2014) 087

null

hep-th

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

We apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the quantum corrections to the effective background and the $\beta$-functions, which are known to vanish at the self-dual point. The case of degenerate noncommutativity is also considered. Our main result can be straightforwardly applied to any polynomial self-interaction of the scalar field and we consider that the worldline approach could be useful for studying effective actions of noncommutative gauge fields as well as in other non-local models or in higher-derivative field theories.

[ { "created": "Sat, 28 Jun 2014 00:20:59 GMT", "version": "v1" }, { "created": "Fri, 5 Dec 2014 17:02:47 GMT", "version": "v2" } ]

2014-12-08

[ [ "Viñas", "Sebastián Franchino", "" ], [ "Pisani", "Pablo", "" ] ]

We apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the quantum corrections to the effective background and the $\beta$-functions, which are known to vanish at the self-dual point. The case of degenerate noncommutativity is also considered. Our main result can be straightforwardly applied to any polynomial self-interaction of the scalar field and we consider that the worldline approach could be useful for studying effective actions of noncommutative gauge fields as well as in other non-local models or in higher-derivative field theories.

9.438382

7.835905

10.340268

7.958943

7.471147

8.240223

8.17227

8.305302

7.686661

9.847736

7.801145

8.018031

8.232506

7.728253

7.736652

7.752406

7.837384

7.857533

7.714797

8.523411

7.827869

1312.1326

Alexander Ochirov Mr.

Alexander Ochirov, Piotr Tourkine

BCJ duality and double copy in the closed string sector

46 pages, 8 figures, 2 tables; v3 significantly revised published version

JHEP 1405 (2014) 136

10.1007/JHEP05(2014)136

IPhT-t13/196

hep-th

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

This paper is focused on the loop-level understanding of the Bern-Carrasco-Johansson double copy procedure that relates the integrands of gauge theory and gravity scattering amplitudes. At four points, the first non-trivial example of that construction is one-loop amplitudes in N=2 super-Yang-Mills theory and the symmetric realization of N=4 matter-coupled supergravity. Our approach is to use both field and string theory in parallel to analyze these amplitudes. The closed string provides a natural framework to analyze the BCJ construction, in which the left- and right-moving sectors separately create the color and kinematics at the integrand level. At tree level, in a five-point example, we show that the Mafra-Schlotterer-Stieberger procedure gives a new direct proof of the color-kinematics double copy. We outline the extension of that argument to n points. At loop level, the field-theoretic BCJ construction of N=2 SYM amplitudes introduces new terms, unexpected from the string theory perspective. We discuss to what extent we can relate them to the terms coming from the interactions between left- and right-movers in the string-theoretic gravity construction.

[ { "created": "Wed, 4 Dec 2013 20:54:51 GMT", "version": "v1" }, { "created": "Wed, 18 Dec 2013 17:06:34 GMT", "version": "v2" }, { "created": "Sat, 19 Jul 2014 10:13:48 GMT", "version": "v3" } ]

2014-07-22

[ [ "Ochirov", "Alexander", "" ], [ "Tourkine", "Piotr", "" ] ]

This paper is focused on the loop-level understanding of the Bern-Carrasco-Johansson double copy procedure that relates the integrands of gauge theory and gravity scattering amplitudes. At four points, the first non-trivial example of that construction is one-loop amplitudes in N=2 super-Yang-Mills theory and the symmetric realization of N=4 matter-coupled supergravity. Our approach is to use both field and string theory in parallel to analyze these amplitudes. The closed string provides a natural framework to analyze the BCJ construction, in which the left- and right-moving sectors separately create the color and kinematics at the integrand level. At tree level, in a five-point example, we show that the Mafra-Schlotterer-Stieberger procedure gives a new direct proof of the color-kinematics double copy. We outline the extension of that argument to n points. At loop level, the field-theoretic BCJ construction of N=2 SYM amplitudes introduces new terms, unexpected from the string theory perspective. We discuss to what extent we can relate them to the terms coming from the interactions between left- and right-movers in the string-theoretic gravity construction.

9.180692

8.175591

10.057872

8.373373

8.512767

8.579279

8.397441

8.105062

8.552052

10.662985

8.233712

8.186279

8.961731

8.486417

8.421529

8.620211

8.201151

8.560639

8.421935

9.129726

8.353352

1402.6327

Joseph Polchinski

Eric Mintun, Joseph Polchinski, and Sichun Sun

The Field Theory of Intersecting D3-branes

30 pages. v2: added references, small updates. v3: grant info revised

null

10.1007/JHEP08(2015)118

null

hep-th

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

We examine the defect gauge theory on two perpendicular D3-branes with a 1+1 dimensional intersection, consisting of $U(1)$ fields on the D3-branes and charged hypermultiplets on the intersection. We argue that this gauge theory must have a magnetically charged soliton corresponding to the D-string stretched between the branes. We show that the hypermultiplets do source magnetic as well as electric fields, but the magnetic charges are confined if the hypermultiplet action is canonical. Considerations of periodicity of the hypermultiplet space lead to a nontrivial Gibbons-Hawking metric, and we show that there is then the expected magnetic kink solution. The hypermultiplet metric has a singularity, which we argue must be resolved by embedding in the full string theory. Another interesting feature is that the classical field equations have logarithmic divergences at the intersection, which lead to a classical renormalization group flow in the action.

[ { "created": "Tue, 25 Feb 2014 21:00:14 GMT", "version": "v1" }, { "created": "Sun, 26 Jul 2015 01:40:53 GMT", "version": "v2" }, { "created": "Wed, 12 Aug 2015 23:32:51 GMT", "version": "v3" } ]

2015-09-30

[ [ "Mintun", "Eric", "" ], [ "Polchinski", "Joseph", "" ], [ "Sun", "Sichun", "" ] ]

We examine the defect gauge theory on two perpendicular D3-branes with a 1+1 dimensional intersection, consisting of $U(1)$ fields on the D3-branes and charged hypermultiplets on the intersection. We argue that this gauge theory must have a magnetically charged soliton corresponding to the D-string stretched between the branes. We show that the hypermultiplets do source magnetic as well as electric fields, but the magnetic charges are confined if the hypermultiplet action is canonical. Considerations of periodicity of the hypermultiplet space lead to a nontrivial Gibbons-Hawking metric, and we show that there is then the expected magnetic kink solution. The hypermultiplet metric has a singularity, which we argue must be resolved by embedding in the full string theory. Another interesting feature is that the classical field equations have logarithmic divergences at the intersection, which lead to a classical renormalization group flow in the action.

9.445728

8.77714

10.616112

8.67376

9.257967

9.321734

9.544522

9.085626

9.006889

11.019071

9.084816

9.254746

9.651512

9.342459

8.969399

9.314427

9.233533

9.292897

9.485054

10.0384

8.989602

1710.07626

Pierre Corvilain

Pierre Corvilain, Thomas W. Grimm and Diego Regalado

Chiral anomalies on a circle and their cancellation in F-theory

39 pages, 3 figures. v2: references added and typos corrected

null

10.1007/JHEP04(2018)020

null

hep-th

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

We study in detail how four-dimensional local anomalies manifest themselves when the theory is compactified on a circle. By integrating out the Kaluza-Klein modes in a way that preserves the four-dimensional symmetries in the UV, we show that the three-dimensional theory contains field-dependent Chern-Simons terms that appear at one-loop. These vanish if and only if the four-dimensional anomaly is canceled, so the anomaly is not lost upon compactification. We extend this analysis to situations where anomalies are canceled through a Green-Schwarz mechanism. We then use these results to show automatic cancellation of local anomalies in F-theory compactifications that can be obtained as a limit of M-theory on a smooth Calabi-Yau fourfold with background flux.

[ { "created": "Fri, 20 Oct 2017 17:53:10 GMT", "version": "v1" }, { "created": "Fri, 9 Feb 2018 17:27:10 GMT", "version": "v2" }, { "created": "Wed, 28 Mar 2018 15:56:34 GMT", "version": "v3" } ]

2020-05-20

[ [ "Corvilain", "Pierre", "" ], [ "Grimm", "Thomas W.", "" ], [ "Regalado", "Diego", "" ] ]

We study in detail how four-dimensional local anomalies manifest themselves when the theory is compactified on a circle. By integrating out the Kaluza-Klein modes in a way that preserves the four-dimensional symmetries in the UV, we show that the three-dimensional theory contains field-dependent Chern-Simons terms that appear at one-loop. These vanish if and only if the four-dimensional anomaly is canceled, so the anomaly is not lost upon compactification. We extend this analysis to situations where anomalies are canceled through a Green-Schwarz mechanism. We then use these results to show automatic cancellation of local anomalies in F-theory compactifications that can be obtained as a limit of M-theory on a smooth Calabi-Yau fourfold with background flux.

6.601715

5.893719

7.105852

6.179708

6.092002

6.169675

5.82734

6.232553

6.035876

7.513471

6.042505

6.231915

6.464753

6.023098

6.206841

6.400215

5.9628

6.299101

6.132349

6.471732

6.112783

hep-th/9602101

null

Paolo Furlan, Ludmil K.Hadjiivanov and Ivan T.Todorov

Operator realization of the SU(2) WZNW model

18 pages, LATEX

Nucl.Phys. B474 (1996) 497-511

10.1016/0550-3213(96)00284-2

IC/95/398

hep-th

null

Decoupling the chiral dynamics in the canonical approach to the WZNW model requires an extended phase space that includes left and right monodromy variables. Earlier work on the subject, which traced back the quantum qroup symmetry of the model to the Lie-Poisson symmetry of the chiral symplectic form, left some open questions: - How to reconcile the monodromy invariance of the local 2D group valued field (i.e., equality of the left and right monodromies) with the fact that the latter obey different exchange relations? - What is the status of the quantum group symmetry in the 2D theory in which the chiral fields commute? - Is there a consistent operator formalism in the chiral and in the extended 2D theory in the continuum limit? We propose a constructive affirmative answer to these questions for G=SU(2) by presenting the chiral quantum fields as sums of chiral vertex operators and q-Bose creation and annihilation operators.

[ { "created": "Mon, 19 Feb 1996 13:01:21 GMT", "version": "v1" } ]

2009-10-30

[ [ "Furlan", "Paolo", "" ], [ "Hadjiivanov", "Ludmil K.", "" ], [ "Todorov", "Ivan T.", "" ] ]

Decoupling the chiral dynamics in the canonical approach to the WZNW model requires an extended phase space that includes left and right monodromy variables. Earlier work on the subject, which traced back the quantum qroup symmetry of the model to the Lie-Poisson symmetry of the chiral symplectic form, left some open questions: - How to reconcile the monodromy invariance of the local 2D group valued field (i.e., equality of the left and right monodromies) with the fact that the latter obey different exchange relations? - What is the status of the quantum group symmetry in the 2D theory in which the chiral fields commute? - Is there a consistent operator formalism in the chiral and in the extended 2D theory in the continuum limit? We propose a constructive affirmative answer to these questions for G=SU(2) by presenting the chiral quantum fields as sums of chiral vertex operators and q-Bose creation and annihilation operators.

10.843379

10.493672

12.378894

10.373283

11.381557

10.896372

11.268371

10.764371

10.57911

12.128022

10.188586

10.40786

10.963207

10.188127

10.548519

10.651442

10.801301

10.430485

10.247986

11.036226

10.67926

1105.3658

Marcelo Botta Cantcheff

Spacetime Geometry as Statistic Ensemble of Strings

14 pages, no figures

null

hep-th gr-qc

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

Jacobson theorem (Ref. \cite{jacobson}) shows that Einstein gravity may be understood as a thermodynamical equation of state; a microscopic realization of this result is however lacking. In this paper, we propose that this may be achieved by assuming the spacetime geometry as a macroscopic system, whose thermodynamical behavior is described by a statistical ensemble, whose microscopic components are low-dimensional geometries. We show that this picture is consistent with string theory by proposing a particular model for the microscopic geometry, where the spacetime metric plays the role of an ordinary thermodynamical potential in a special ensemble. In this scenario, Einstein equation is indeed recovered as an equation of state, and the black hole thermodynamics is reproduced in a thermodynamic limit (large length scales). The model presented here is background-independent and, in particular, it provides an alternative formulation of string theory.

[ { "created": "Wed, 18 May 2011 15:13:14 GMT", "version": "v1" } ]

2011-05-19

[ [ "Cantcheff", "Marcelo Botta", "" ] ]

Jacobson theorem (Ref. \cite{jacobson}) shows that Einstein gravity may be understood as a thermodynamical equation of state; a microscopic realization of this result is however lacking. In this paper, we propose that this may be achieved by assuming the spacetime geometry as a macroscopic system, whose thermodynamical behavior is described by a statistical ensemble, whose microscopic components are low-dimensional geometries. We show that this picture is consistent with string theory by proposing a particular model for the microscopic geometry, where the spacetime metric plays the role of an ordinary thermodynamical potential in a special ensemble. In this scenario, Einstein equation is indeed recovered as an equation of state, and the black hole thermodynamics is reproduced in a thermodynamic limit (large length scales). The model presented here is background-independent and, in particular, it provides an alternative formulation of string theory.

11.247148

10.348096

9.82653

9.523178

10.400856

11.15465

10.963473

9.463691

9.54217

10.40148

10.422359

9.20404

8.869047

8.659012

9.256413

9.195218

8.886497

9.211742

9.082585

9.074986

9.383239

2311.06485

Partha Paul

Shamik Banerjee, Harshal Kulkarni, Partha Paul

Celestial OPE in Self Dual Gravity

40 pages including references, 1 figure

null

hep-th

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

In this paper we compute the celestial operator product expansion between two outgoing positive helicity gravitons in the self dual gravity. It has been shown that the self dual gravity is a $ w_{1+\infty} $-invariant theory whose scattering amplitudes are one loop exact with all positive helicity gravitons. Celestial $w_{1+\infty}$ symmetry is generated by an infinite tower of (conformally soft) gravitons which are holomorphic conserved currents. We find that at any given order only a \textit{finite} number of $w_{1+\infty}$ descendants contribute to the OPE. This is somewhat surprising because the spectrum of conformal dimensions in celestial CFT is not bounded from below. However, this is consistent with our earlier analysis based on the representation theory of $w_{1+\infty}$. The phenomenon of truncation suggests that in some (unknown) formulation the spectrum of conformal dimensions in the dual two dimensional theory can be bounded from below.

[ { "created": "Sat, 11 Nov 2023 05:50:38 GMT", "version": "v1" } ]

2023-11-14

[ [ "Banerjee", "Shamik", "" ], [ "Kulkarni", "Harshal", "" ], [ "Paul", "Partha", "" ] ]

In this paper we compute the celestial operator product expansion between two outgoing positive helicity gravitons in the self dual gravity. It has been shown that the self dual gravity is a $ w_{1+\infty} $-invariant theory whose scattering amplitudes are one loop exact with all positive helicity gravitons. Celestial $w_{1+\infty}$ symmetry is generated by an infinite tower of (conformally soft) gravitons which are holomorphic conserved currents. We find that at any given order only a \textit{finite} number of $w_{1+\infty}$ descendants contribute to the OPE. This is somewhat surprising because the spectrum of conformal dimensions in celestial CFT is not bounded from below. However, this is consistent with our earlier analysis based on the representation theory of $w_{1+\infty}$. The phenomenon of truncation suggests that in some (unknown) formulation the spectrum of conformal dimensions in the dual two dimensional theory can be bounded from below.

6.85731

6.232891

7.541998

5.782885

6.077545

6.364346

6.158001

6.179862

6.482457

8.057306

6.205242

6.114677

6.670936

6.359434

6.173732

6.221783

6.088578

6.228414

6.356606

6.546579

6.229648

0901.3609

Aaron Amsel

Aaron J. Amsel, Geoffrey Comp\`ere

Supergravity at the boundary of AdS supergravity

23 pages, RevTeX

Phys.Rev.D79:085006,2009

10.1103/PhysRevD.79.085006

null

hep-th gr-qc

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

We give a general analysis of AdS boundary conditions for spin-3/2 Rarita-Schwinger fields and investigate boundary conditions preserving supersymmetry for a graviton multiplet in AdS_4. Linear Rarita-Schwinger fields in AdS_d are shown to admit mixed Dirichlet-Neumann boundary conditions when their mass is in the range $0 \leq |m| < 1/2l_{AdS}$. We also demonstrate that mixed boundary conditions are allowed for larger masses when the inner product is "renormalized" accordingly with the action. We then use the results obtained for |m| = 1/l_{AdS} to explore supersymmetric boundary conditions for N = 1 AdS_4 supergravity in which the metric and Rarita-Schwinger fields are fluctuating at the boundary. We classify boundary conditions that preserve boundary supersymmetry or superconformal symmetry. Under the AdS/CFT dictionary, Neumann boundary conditions in d=4 supergravity correspond to gauging the superconformal group of the 3-dimensional CFT describing M2-branes, while N = 1 supersymmetric mixed boundary conditions couple the CFT to N = 1 superconformal topologically massive gravity.

[ { "created": "Fri, 23 Jan 2009 06:47:22 GMT", "version": "v1" } ]

2009-07-09

[ [ "Amsel", "Aaron J.", "" ], [ "Compère", "Geoffrey", "" ] ]

We give a general analysis of AdS boundary conditions for spin-3/2 Rarita-Schwinger fields and investigate boundary conditions preserving supersymmetry for a graviton multiplet in AdS_4. Linear Rarita-Schwinger fields in AdS_d are shown to admit mixed Dirichlet-Neumann boundary conditions when their mass is in the range $0 \leq |m| < 1/2l_{AdS}$. We also demonstrate that mixed boundary conditions are allowed for larger masses when the inner product is "renormalized" accordingly with the action. We then use the results obtained for |m| = 1/l_{AdS} to explore supersymmetric boundary conditions for N = 1 AdS_4 supergravity in which the metric and Rarita-Schwinger fields are fluctuating at the boundary. We classify boundary conditions that preserve boundary supersymmetry or superconformal symmetry. Under the AdS/CFT dictionary, Neumann boundary conditions in d=4 supergravity correspond to gauging the superconformal group of the 3-dimensional CFT describing M2-branes, while N = 1 supersymmetric mixed boundary conditions couple the CFT to N = 1 superconformal topologically massive gravity.

6.592478

6.641107

7.33186

6.430982

7.180382

6.620436

6.773084

6.488707

6.641862

7.372198

6.930137

6.384403

6.777305

6.460537

6.502266

6.403394

6.271898

6.535848

6.603171

6.826867

6.410198

hep-th/0303088

Thomas Curtright

Thomas Curtright and Cosmas Zachos

Quantizing Dirac and Nambu Brackets

Talk given by the first author at the Coral Gables Conference, 14 December 2002, Fort Lauderdale, Florida

AIP Conf.Proc.672:165-182,2003

10.1063/1.1594404

ANL-HEP-CP-03-016

hep-th

null

We relate classical and quantum Dirac and Nambu brackets. At the classical level, we use the relations between the two brackets to gain some insight into the Jacobi identity for Dirac brackets, among other things. At the quantum level, we suggest that the Nambu bracket is the preferred method for introducing constraints, although at the expense of some unorthodox behavior, which we describe in detail.

[ { "created": "Tue, 11 Mar 2003 19:42:17 GMT", "version": "v1" } ]

2009-10-02

[ [ "Curtright", "Thomas", "" ], [ "Zachos", "Cosmas", "" ] ]

We relate classical and quantum Dirac and Nambu brackets. At the classical level, we use the relations between the two brackets to gain some insight into the Jacobi identity for Dirac brackets, among other things. At the quantum level, we suggest that the Nambu bracket is the preferred method for introducing constraints, although at the expense of some unorthodox behavior, which we describe in detail.

10.032328

10.101426

9.510543

8.918817

9.830618

10.917594

9.577717

9.895753

8.583187

10.289275

9.348827

9.176365

10.16004

9.116106

9.030948

9.709101

9.347985

9.350241

9.165645

9.960588

9.267094

hep-th/9601097

Piljin Yi

Kimyeong Lee, Erick J. Weinberg, and Piljin Yi

Electromagnetic Duality and $SU(3)$ Monopoles

LaTeX, 11 pages (a reference is added, the mass-dependence of the moduli space is clarified and corrected.)

Phys.Lett. B376 (1996) 97-102

10.1016/0370-2693(96)00286-9

CU-TP-734

hep-th

null

We consider the low-energy dynamics of a pair of distinct fundamental monopoles that arise in the $N=4$ supersymmetric $SU(3)$ Yang-Mills theory broken to $U(1)\times U(1)$. Both the long distance interactions and the short distance behavior indicate that the moduli space is $R^3\times(R^1 \times {\cal M}_0)/Z$ where ${\cal M}_0$ is the smooth Taub-NUT manifold, and we confirm this rigorously. By examining harmonic forms on the moduli space, we find a threshold bound state of two monopoles with a tower of BPS dyonic states built on it, as required by Montonen-Olive duality. We also present a conjecture for the metric of the moduli space for any number of distinct fundamental monopoles for an arbitrary gauge group.

[ { "created": "Thu, 18 Jan 1996 18:34:34 GMT", "version": "v1" }, { "created": "Thu, 25 Jan 1996 15:52:36 GMT", "version": "v2" }, { "created": "Sun, 28 Jan 1996 18:13:21 GMT", "version": "v3" } ]

2015-06-26

[ [ "Lee", "Kimyeong", "" ], [ "Weinberg", "Erick J.", "" ], [ "Yi", "Piljin", "" ] ]

We consider the low-energy dynamics of a pair of distinct fundamental monopoles that arise in the $N=4$ supersymmetric $SU(3)$ Yang-Mills theory broken to $U(1)\times U(1)$. Both the long distance interactions and the short distance behavior indicate that the moduli space is $R^3\times(R^1 \times {\cal M}_0)/Z$ where ${\cal M}_0$ is the smooth Taub-NUT manifold, and we confirm this rigorously. By examining harmonic forms on the moduli space, we find a threshold bound state of two monopoles with a tower of BPS dyonic states built on it, as required by Montonen-Olive duality. We also present a conjecture for the metric of the moduli space for any number of distinct fundamental monopoles for an arbitrary gauge group.

6.644634

5.762828

7.746588

5.948547

6.29898

5.867463

6.416076

5.821795

5.978703

8.427475

5.818544

6.071183

6.735896

6.063167

6.294678

6.356781

6.263533

6.212245

6.165773

6.780902

6.10014

1110.4048

Kallosh Renata

Sergio Ferrara and Renata Kallosh

Creation of Matter in the Universe and Groups of Type E7

15 pages, 2 tables

null

10.1007/JHEP12(2011)096

CERN-PH-TH/2011-242; SU-ITP-2011-48

hep-th

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

We relate the mechanism of matter creation in the universe after inflation to a simple and universal mathematical property of extended N > 1 supergravities and related compactifications of superstring theory. We show that in all such models, the inflaton field may decay into vector fields due to a nonminimal scalar-vector coupling. This coupling is compulsory for all scalars except N=2 hyperscalars. The proof is based on the fact that all extended supergravities described by symmetric coset spaces G/H have duality groups G of type E7, with exception of U(p,n) models. For N=2 we prove separately that special geometry requires a non-minimal scalar-vector coupling. Upon truncation to N=1 supergravity, extended models generically preserve the non-minimal scalar-vector coupling, with exception of U(p,n) models and hyperscalars. For some string theory/supergravity inflationary models, this coupling provides the only way to complete the process of creation of matter in the early universe.

[ { "created": "Tue, 18 Oct 2011 16:59:33 GMT", "version": "v1" }, { "created": "Sat, 26 Nov 2011 16:31:57 GMT", "version": "v2" } ]

2015-05-30

[ [ "Ferrara", "Sergio", "" ], [ "Kallosh", "Renata", "" ] ]

We relate the mechanism of matter creation in the universe after inflation to a simple and universal mathematical property of extended N > 1 supergravities and related compactifications of superstring theory. We show that in all such models, the inflaton field may decay into vector fields due to a nonminimal scalar-vector coupling. This coupling is compulsory for all scalars except N=2 hyperscalars. The proof is based on the fact that all extended supergravities described by symmetric coset spaces G/H have duality groups G of type E7, with exception of U(p,n) models. For N=2 we prove separately that special geometry requires a non-minimal scalar-vector coupling. Upon truncation to N=1 supergravity, extended models generically preserve the non-minimal scalar-vector coupling, with exception of U(p,n) models and hyperscalars. For some string theory/supergravity inflationary models, this coupling provides the only way to complete the process of creation of matter in the early universe.

11.51682

13.112985

14.884753

11.913423

12.294036

12.464346

12.308739

12.894284

12.550786

13.687023

12.118597

11.599227

12.389225

11.91663

11.751002

12.015328

11.574117

11.975083

11.423756

11.913018

11.700769

hep-th/9905230

Tomomi Muto

Brane Configurations for Three-dimensional Nonabelian Orbifolds

22 pages, 12 figures, T-duality interpretation of the McKay correspondence added

null

UT-KOMABA 99-7

hep-th

null

We study brane configurations corresponding to D-branes on complex three-dimensional orbifolds ${\bf C}^3/\Gamma$ with $\Gamma=\Delta(3n^2)$ and $\Delta(6n^2)$, nonabelian finite subgroups of SU(3). We first construct a brane configuration for ${\bf C}^3/{\bf Z}_n \times {\bf Z}_n$ by using D3-branes and a web of (p,q) 5-branes of type IIB string theory. Brane configurations for the nonabelian orbifolds are obtained by performing certain quotients on the configuration for ${\bf C}^3/{\bf Z}_n \times {\bf Z}_n$. Structure of the quiver diagrams of the groups $\Delta(3n^2)$ and $\Delta(6n^2)$ can be reproduced from the brane configurations. We point out that the brane configuration for ${\bf C}^3/\Gamma$ can be regarded as a physical realization of the quiver diagram of $\Gamma$. Based on this observation, we discuss that three-dimensional McKay correspondence may be interpreted as T-duality.

[ { "created": "Mon, 31 May 1999 21:26:21 GMT", "version": "v1" }, { "created": "Sun, 6 Jun 1999 12:59:34 GMT", "version": "v2" }, { "created": "Thu, 4 Nov 1999 00:23:31 GMT", "version": "v3" } ]

2007-05-23

[ [ "Muto", "Tomomi", "" ] ]

We study brane configurations corresponding to D-branes on complex three-dimensional orbifolds ${\bf C}^3/\Gamma$ with $\Gamma=\Delta(3n^2)$ and $\Delta(6n^2)$, nonabelian finite subgroups of SU(3). We first construct a brane configuration for ${\bf C}^3/{\bf Z}_n \times {\bf Z}_n$ by using D3-branes and a web of (p,q) 5-branes of type IIB string theory. Brane configurations for the nonabelian orbifolds are obtained by performing certain quotients on the configuration for ${\bf C}^3/{\bf Z}_n \times {\bf Z}_n$. Structure of the quiver diagrams of the groups $\Delta(3n^2)$ and $\Delta(6n^2)$ can be reproduced from the brane configurations. We point out that the brane configuration for ${\bf C}^3/\Gamma$ can be regarded as a physical realization of the quiver diagram of $\Gamma$. Based on this observation, we discuss that three-dimensional McKay correspondence may be interpreted as T-duality.

3.53757

3.244368

3.695394

3.324684

3.384435

3.32878

3.225237

3.249994

3.193586

3.931786

3.275992

3.42662

3.561461

3.374903

3.340522

3.366189

3.373379

3.38191

3.367111

3.651896

3.38873

hep-th/9602151

Igor Tyutin

D.M.Gitman and A.E.Gon\c{c}alves (Instituto de F\'isica, Universidade de S\~ao Paulo) and I.V.Tyutin (Lebedev Physical Institute)

Remark to the Comment on "New pseudoclassical model for Weyl particles"

3 pages, LaTeX, no figures

null

FIAN/TD/96-03

hep-th

null

We present here our considerations concerning the problem of classical consistency of pseudoclassical models touched upon in a recent comment on our paper "New pseudoclassical model for Weyl particle".

[ { "created": "Tue, 27 Feb 1996 12:12:20 GMT", "version": "v1" } ]

2016-08-15

[ [ "Gitman", "D. M.", "", "Instituto de Física, Universidade\n de São Paulo" ], [ "Gonçalves", "A. E.", "", "Instituto de Física, Universidade\n de São Paulo" ], [ "Tyutin", "I. V.", "", "Lebedev Physical Institute" ] ]

We present here our considerations concerning the problem of classical consistency of pseudoclassical models touched upon in a recent comment on our paper "New pseudoclassical model for Weyl particle".

26.898907

14.833463

20.887342

14.592326

12.515248

13.624084

12.973022

13.681111

15.524441

23.323553

15.776723

16.376244

17.712418

16.420778

15.825373

16.784159

17.242867

16.349728

17.073187

17.599573

18.571024

1907.07824

Jonah Kudler-Flam

Yuya Kusuki and Jonah Kudler-Flam and Shinsei Ryu

Derivation of holographic negativity in AdS$_3$/CFT$_2$

4+2 pages. v2: supplemental material fixed and references added to match published version in PRL. v3: assumption regarding OPE coefficient clarified

Phys. Rev. Lett. 123, 131603 (2019)

10.1103/PhysRevLett.123.131603

YITP-19-65

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

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

We present a derivation of the holographic dual of logarithmic negativity in AdS$_3$/CFT$_2$ that was recently conjectured in [Phys. Rev. D 99, 106014 (2019)]. This is given by the area of an extremal cosmic brane that terminates on the boundary of the entanglement wedge. The derivation consists of relating the recently introduced R\'enyi reflected entropy to the logarithmic negativity in holographic conformal field theories. Furthermore, we clarify previously mysterious aspects of negativity at large central charge seen in conformal blocks and comment on generalizations to generic dimensions, dynamical settings, and quantum corrections.

[ { "created": "Thu, 18 Jul 2019 00:39:32 GMT", "version": "v1" }, { "created": "Fri, 20 Sep 2019 16:58:05 GMT", "version": "v2" }, { "created": "Wed, 19 Jan 2022 22:14:51 GMT", "version": "v3" } ]

2022-01-21

[ [ "Kusuki", "Yuya", "" ], [ "Kudler-Flam", "Jonah", "" ], [ "Ryu", "Shinsei", "" ] ]

We present a derivation of the holographic dual of logarithmic negativity in AdS$_3$/CFT$_2$ that was recently conjectured in [Phys. Rev. D 99, 106014 (2019)]. This is given by the area of an extremal cosmic brane that terminates on the boundary of the entanglement wedge. The derivation consists of relating the recently introduced R\'enyi reflected entropy to the logarithmic negativity in holographic conformal field theories. Furthermore, we clarify previously mysterious aspects of negativity at large central charge seen in conformal blocks and comment on generalizations to generic dimensions, dynamical settings, and quantum corrections.

8.000662

7.248813

8.534433

7.482273

7.348673

7.127521

7.632498

7.699235

6.638328

10.459128

7.199617

7.628481

8.244861

7.497581

7.659523

7.612703

7.817935

7.591937

7.815685

7.995206

7.463518

1506.05224

Robert de Mello Koch

Robert de Mello Koch, Nirina Hasina Tahiridimbisoa and Christopher Mathwin

Anomalous Dimensions of Heavy Operators from Magnon Energies

48 pages. v2: references added, typos corrected

null

10.1007/JHEP03(2016)156

null

hep-th

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

We study spin chains with boundaries that are dual to open strings suspended between systems of giant gravitons and dual giant gravitons. The anomalous dimensions computed in the gauge theory are in complete quantitative agreement with energies computed in the dual string theory. The comparison makes use of a description in terms of magnons, generalizing results for a single maximal giant graviton. The symmetries of the problem determine the structure of the magnon boundary reflection/scattering matrix up to a phase. We compute a reflection/scattering matrix element at weak coupling and verify that it is consistent with the answer determined by symmetry. We find the reflection/scattering matrix does not satisfy the boundary Yang-Baxter equation so that the boundary condition on the open spin chain spoils integrability. We also explain the interpretation of the double coset ansatz in the magnon language.

[ { "created": "Wed, 17 Jun 2015 07:24:43 GMT", "version": "v1" }, { "created": "Sat, 23 Jan 2016 21:29:22 GMT", "version": "v2" } ]

2016-04-20

[ [ "Koch", "Robert de Mello", "" ], [ "Tahiridimbisoa", "Nirina Hasina", "" ], [ "Mathwin", "Christopher", "" ] ]

We study spin chains with boundaries that are dual to open strings suspended between systems of giant gravitons and dual giant gravitons. The anomalous dimensions computed in the gauge theory are in complete quantitative agreement with energies computed in the dual string theory. The comparison makes use of a description in terms of magnons, generalizing results for a single maximal giant graviton. The symmetries of the problem determine the structure of the magnon boundary reflection/scattering matrix up to a phase. We compute a reflection/scattering matrix element at weak coupling and verify that it is consistent with the answer determined by symmetry. We find the reflection/scattering matrix does not satisfy the boundary Yang-Baxter equation so that the boundary condition on the open spin chain spoils integrability. We also explain the interpretation of the double coset ansatz in the magnon language.

9.722313

9.162719

11.33146

9.74626

9.305162

9.493228

8.764274

9.261349

8.997728

11.661345

9.470816

8.820199

9.956948

9.212624

9.577098

9.030074

9.25011

9.324497

9.252467

9.525457

9.318467

hep-th/0410275

Kasper Peeters

Kasper Peeters, Jan Plefka and Marija Zamaklar

Splitting spinning strings in AdS/CFT

22 pages, 5 figures; v2: typo corrected

JHEP0411:054,2004

10.1088/1126-6708/2004/11/054

AEI-2004-094

hep-th

null

We study the semiclassical decay of macroscopic spinning strings in AdS_5 x S^5 through spontaneous splitting of the folded string worldsheet. Based on similar considerations in flat space this decay channel is expected to dominate the full quantum computation. The outgoing strings are uniquely specified by an infinite set of conserved (local) charges with a regular expansion in inverse powers of the initial angular momentum. We compute these charges and determine functional relations between them. Finally, a preliminary discussion of the corresponding calculation in the non-planar sector of the dual gauge theory is presented.

[ { "created": "Thu, 28 Oct 2004 14:59:22 GMT", "version": "v1" }, { "created": "Fri, 7 Jan 2005 10:31:30 GMT", "version": "v2" } ]

2008-11-26

[ [ "Peeters", "Kasper", "" ], [ "Plefka", "Jan", "" ], [ "Zamaklar", "Marija", "" ] ]

We study the semiclassical decay of macroscopic spinning strings in AdS_5 x S^5 through spontaneous splitting of the folded string worldsheet. Based on similar considerations in flat space this decay channel is expected to dominate the full quantum computation. The outgoing strings are uniquely specified by an infinite set of conserved (local) charges with a regular expansion in inverse powers of the initial angular momentum. We compute these charges and determine functional relations between them. Finally, a preliminary discussion of the corresponding calculation in the non-planar sector of the dual gauge theory is presented.

14.835428

11.983109

15.871552

11.76374

12.337276

13.257359

12.622056

11.767073

11.59231

16.784719

11.469856

12.526392

14.498074

12.788741

12.655491

12.353561

12.2936

12.608177

12.871101

13.860386

12.598818

0705.3253

Thomas Grimm

Thomas W. Grimm

Non-Perturbative Corrections and Modularity in N=1 Type IIB Compactifications

35 pages

JHEP 0710:004,2007

10.1088/1126-6708/2007/10/004

null

hep-th

null

Non-perturbative corrections and modular properties of four-dimensional type IIB Calabi-Yau orientifolds are discussed. It is shown that certain non-perturbative alpha' corrections survive in the large volume limit of the orientifold and periodically correct the Kahler potential. These corrections depend on the NS-NS two form and have to be completed by D-instanton contributions to transform covariantely under symmetries of the type IIB orientifold background. It is shown that generically also the D-instanton superpotential depends on the two-form moduli as well as on the complex dilaton. These contributions can arise through theta-functions with the dilaton as modular parameter. An orientifold of the Enriques Calabi-Yau allows to illustrate these general considerations. It is shown that this compactification leads to a controlled four-dimensional N=1 effective theory due to the absence of various quantum corrections. Making contact to the underlying topological string theory the D-instanton superpotential is proposed to be related to a specific modular form counting D3, D1, D(-1) degeneracies on the Enriques Calabi-Yau.

[ { "created": "Wed, 23 May 2007 18:15:01 GMT", "version": "v1" }, { "created": "Mon, 4 Jun 2007 22:29:52 GMT", "version": "v2" } ]

2009-04-30

[ [ "Grimm", "Thomas W.", "" ] ]

Non-perturbative corrections and modular properties of four-dimensional type IIB Calabi-Yau orientifolds are discussed. It is shown that certain non-perturbative alpha' corrections survive in the large volume limit of the orientifold and periodically correct the Kahler potential. These corrections depend on the NS-NS two form and have to be completed by D-instanton contributions to transform covariantely under symmetries of the type IIB orientifold background. It is shown that generically also the D-instanton superpotential depends on the two-form moduli as well as on the complex dilaton. These contributions can arise through theta-functions with the dilaton as modular parameter. An orientifold of the Enriques Calabi-Yau allows to illustrate these general considerations. It is shown that this compactification leads to a controlled four-dimensional N=1 effective theory due to the absence of various quantum corrections. Making contact to the underlying topological string theory the D-instanton superpotential is proposed to be related to a specific modular form counting D3, D1, D(-1) degeneracies on the Enriques Calabi-Yau.

8.791099

9.205718

10.354492

9.167533

8.980939

9.020344

9.454658

8.968145

8.381667

11.527749

8.868484

8.524259

8.860111

8.458438

8.654559

8.470595

8.821272

8.498782

8.697475

9.175779

8.442823

2101.01803

Jens Hoppe

Square-roots and Lax-pairs for supersymmetrizable systems

null

hep-th

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

Several examples are given illustrating the (presumably rather general) fact that bosonic Hamiltonians that are supersymmetrizable automatically possess Lax-pairs, and square-roots.

[ { "created": "Thu, 31 Dec 2020 18:32:02 GMT", "version": "v1" } ]

2021-01-07

[ [ "Hoppe", "Jens", "" ] ]

Several examples are given illustrating the (presumably rather general) fact that bosonic Hamiltonians that are supersymmetrizable automatically possess Lax-pairs, and square-roots.

26.581886

21.857956

24.925648

18.926697

19.28097

20.097469

23.056612

18.896997

21.811405

30.499727

19.705492

20.788961

23.263468

21.375452

19.35108

19.293137

21.398985

21.425797

20.43886

20.99478

19.305431

1108.6234

Brett McInnes

Kerr Black Holes Are Not Fragile

Programming errors fixed, numerical evidence for main claim strengthened; 23 pages, 8 figures; version to appear in Nuclear Physics B

Nucl.Phys. B857 (2012) 362-379

10.1016/j.nuclphysb.2011.12.015

null

hep-th gr-qc

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

Certain AdS black holes are "fragile", in the sense that, if they are deformed excessively, they become unstable to a fundamental non-perturbative stringy effect analogous to Schwinger pair-production [of branes]. Near-extremal topologically spherical AdS-Kerr black holes, which are natural candidates for string-theoretic models of the very rapidly rotating black holes that have actually been observed to exist, do represent a very drastic deformation of the AdS-Schwarzschild geometry. One therefore has strong reason to fear that these objects might be "fragile", which in turn could mean that asymptotically flat rapidly rotating black holes might be fragile in string theory. Here we show that this does not happen: despite the severe deformation implied by near-extremal angular momenta, brane pair production around topologically spherical AdS-Kerr black holes is always suppressed.

[ { "created": "Wed, 31 Aug 2011 14:06:19 GMT", "version": "v1" }, { "created": "Wed, 21 Dec 2011 14:55:24 GMT", "version": "v2" } ]

2015-05-30

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

Certain AdS black holes are "fragile", in the sense that, if they are deformed excessively, they become unstable to a fundamental non-perturbative stringy effect analogous to Schwinger pair-production [of branes]. Near-extremal topologically spherical AdS-Kerr black holes, which are natural candidates for string-theoretic models of the very rapidly rotating black holes that have actually been observed to exist, do represent a very drastic deformation of the AdS-Schwarzschild geometry. One therefore has strong reason to fear that these objects might be "fragile", which in turn could mean that asymptotically flat rapidly rotating black holes might be fragile in string theory. Here we show that this does not happen: despite the severe deformation implied by near-extremal angular momenta, brane pair production around topologically spherical AdS-Kerr black holes is always suppressed.

9.633898

10.205371

9.600535

9.220987

9.992952

10.346675

10.376255

9.65301

9.571178

11.342394

9.50154

9.766406

9.791131

9.739466

9.624859

9.641228

9.566199

9.674867

9.717567

10.14932

9.57613

1904.08509

Koichi Nagasaki

Interface in Kerr-AdS black hole spacetime

12 pages, 6 figures, One figure and some comments were added in the last section

Phys. Rev. D 100, 066032 (2019)

10.1103/PhysRevD.100.066032

null

hep-th

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

A defect solution in the AdS5 x S5 black hole spacetime is given. This is a generalization of the previous work to another spacetime. The equation of motion for a sort of non-local operator, "an interface," is given and its numerical solution is shown. This result gives a new example of holographic relation of complexity and will be a clue for solving problems about black hole complexity.

[ { "created": "Wed, 17 Apr 2019 21:21:57 GMT", "version": "v1" }, { "created": "Tue, 1 Oct 2019 23:03:05 GMT", "version": "v2" } ]

2019-10-09

[ [ "Nagasaki", "Koichi", "" ] ]

A defect solution in the AdS5 x S5 black hole spacetime is given. This is a generalization of the previous work to another spacetime. The equation of motion for a sort of non-local operator, "an interface," is given and its numerical solution is shown. This result gives a new example of holographic relation of complexity and will be a clue for solving problems about black hole complexity.

18.769758

15.19581

15.342878

13.196017

14.463738

15.719093

16.391273

15.629361

14.448218

16.330824

15.312386

15.523687

15.572203

15.407197

15.157932

15.686511

16.433413

16.036978

16.142994

15.514211

15.72427

hep-th/9612196

null

S. J. Gates Jr., M. T. Grisaru, M. E. Knutt-Wehlau, M. Rocek and O. A. Soloviev

N = 1 Supersymmetric Extension of the QCD Effective Action

UMDEPP 97-27, LaTeX, run twice, 13pp., no figures, correction of an author's name

Phys.Lett. B396 (1997) 167-176

10.1016/S0370-2693(97)00069-5

null

hep-th

null

We present a new 4D, N = 1 supersymmetric nonlinear sigma-model using complex linear and chiral superfields that generalizes the massless limit of the QCD effective action of Gasser and Leutwyler.

[ { "created": "Wed, 18 Dec 1996 21:56:42 GMT", "version": "v1" }, { "created": "Thu, 19 Dec 1996 15:19:17 GMT", "version": "v2" } ]

2009-10-30

[ [ "Gates", "S. J.", "Jr." ], [ "Grisaru", "M. T.", "" ], [ "Knutt-Wehlau", "M. E.", "" ], [ "Rocek", "M.", "" ], [ "Soloviev", "O. A.", "" ] ]

We present a new 4D, N = 1 supersymmetric nonlinear sigma-model using complex linear and chiral superfields that generalizes the massless limit of the QCD effective action of Gasser and Leutwyler.

10.576017

7.338912

8.923155

8.101743

8.112411

7.631495

7.515418

7.67663

7.517337

9.369662

8.499605

8.126922

9.376339

7.884345

8.086324

8.149623

8.168796

8.421164

7.950303

9.043119

8.595587

2111.09010

Ali Hajilou

Meson Excitation Time as a Probe of Holographic Critical Point

20 pages, 17 figures, Published in EPJC

Eur.Phys.J.C 83 (2023) 4, 301

10.1140/epjc/s10052-023-11453-7

null

hep-th

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

We study the time evolution of expectation value of Wilson loop as a non-local observable in a strongly coupled field theory with a critical point at finite temperature and nonzero chemical potential, which is dual to an asymptotically AdS charged black hole via gauge/gravity duality. Due to inject of energy into the plasma, the temperature and chemical potential increase to finite values and the plasma experiences an out-of-equilibrium process. By defining meson excitation time $t_{ex}$ as a time at which the meson falls into the final excited state, we investigate the behavior of $t_{ex}$ near the critical point as the system evolves towards the critical point. We observe that by increasing the interquark distance the dynamical critical exponent increases smoothly. Also, we obtain for slow quenches different values of the dynamical critical exponent, although for fast quenches our result for the dynamical critical exponent is in agreement with the one that is reported for studying the quasi-normal modes. Consequently, this indicates that in this model for fast quenches and small values of interquark distances the gauge invariant Wilson loop is a good non-local observable to probe the critical point.

[ { "created": "Wed, 17 Nov 2021 10:03:41 GMT", "version": "v1" }, { "created": "Fri, 12 May 2023 07:38:24 GMT", "version": "v2" } ]

2023-05-15

[ [ "Hajilou", "Ali", "" ] ]

We study the time evolution of expectation value of Wilson loop as a non-local observable in a strongly coupled field theory with a critical point at finite temperature and nonzero chemical potential, which is dual to an asymptotically AdS charged black hole via gauge/gravity duality. Due to inject of energy into the plasma, the temperature and chemical potential increase to finite values and the plasma experiences an out-of-equilibrium process. By defining meson excitation time $t_{ex}$ as a time at which the meson falls into the final excited state, we investigate the behavior of $t_{ex}$ near the critical point as the system evolves towards the critical point. We observe that by increasing the interquark distance the dynamical critical exponent increases smoothly. Also, we obtain for slow quenches different values of the dynamical critical exponent, although for fast quenches our result for the dynamical critical exponent is in agreement with the one that is reported for studying the quasi-normal modes. Consequently, this indicates that in this model for fast quenches and small values of interquark distances the gauge invariant Wilson loop is a good non-local observable to probe the critical point.

8.580075

8.059196

8.675017

7.833601

8.176914

8.037767

8.347978

8.101082

7.81019

8.585858

7.785535

8.121681

8.311127

8.137753

8.106005

7.948337

8.059422

8.021862

8.19645

8.509024

8.013092

1907.10637

Andrew Royston

Sophia K. Domokos and Andrew B. Royston

Nonabelian Probes In Holography

24 pages, no figures; v2: typo corrected, reference added, published version

JHEP 10 (2019) 027

10.1007/JHEP10(2019)027

null

hep-th math-ph math.MP

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

We find the range of parameters for which the open string physics on probe Dq-branes in the near-horizon geometry of Dp-branes decouples from gravity, and is well-approximated by a (q+1)-dimensional supersymmetric Yang-Mills-Higgs theory on a rigid curved spacetime. We study the vacua of these theories, which include moduli spaces of instantons, monopoles, and vortices. This intricate structure is made possible through couplings to the background Ramond-Ramond flux. The probe brane theories we study provide holographic descriptions of defects in dual field theories.

[ { "created": "Wed, 24 Jul 2019 18:03:35 GMT", "version": "v1" }, { "created": "Mon, 4 Nov 2019 18:55:19 GMT", "version": "v2" } ]

2019-11-05

[ [ "Domokos", "Sophia K.", "" ], [ "Royston", "Andrew B.", "" ] ]

We find the range of parameters for which the open string physics on probe Dq-branes in the near-horizon geometry of Dp-branes decouples from gravity, and is well-approximated by a (q+1)-dimensional supersymmetric Yang-Mills-Higgs theory on a rigid curved spacetime. We study the vacua of these theories, which include moduli spaces of instantons, monopoles, and vortices. This intricate structure is made possible through couplings to the background Ramond-Ramond flux. The probe brane theories we study provide holographic descriptions of defects in dual field theories.

8.228966

7.160673

9.450571

7.431219

7.635736

7.705569

7.388406

7.739097

7.432177

9.475108

7.595596

7.522585

8.62207

7.781516

7.688694

7.567876

7.632695

7.794446

7.793561

8.593349

7.703832

hep-th/0610047

W. A. Sabra

Jan B. Gutowski and Wafic A. Sabra

Non-Supersymmetric Charged Domain Walls

11 pages, one ref. added. To appear in Physics Letters B

Phys.Lett.B643:190-194,2006

10.1016/j.physletb.2006.10.056

null

hep-th

null

We present general non-supersymmtric domain wall solutions with non-trivial scalar and gauge fields for gauged five-dimensional N=2 supergravity coupled to abelian vector multiplets.

[ { "created": "Wed, 4 Oct 2006 13:37:54 GMT", "version": "v1" }, { "created": "Mon, 30 Oct 2006 11:44:47 GMT", "version": "v2" } ]

2008-11-26

[ [ "Gutowski", "Jan B.", "" ], [ "Sabra", "Wafic A.", "" ] ]

We present general non-supersymmtric domain wall solutions with non-trivial scalar and gauge fields for gauged five-dimensional N=2 supergravity coupled to abelian vector multiplets.

8.732744

5.964924

9.961522

6.361468

5.526637

5.819912

6.165599

5.829582

5.406507

13.056917

5.883761

5.816588

9.311714

6.48469

6.084642

6.172662

6.411164

6.2198

6.555217

10.119375

6.10323

2202.06890

Per Berglund

Per Berglund, Laurent Freidel, Tristan Hubsch, Jerzy Kowalski-Glikman, Robert G. Leigh, David Mattingly, Djordje Minic

Infrared Properties of Quantum Gravity: UV/IR Mixing, Gravitizing the Quantum -- Theory and Observation

Contribution to Snowmass 2021

null

hep-th gr-qc

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

We discuss the possible appearance of several rather exotic phenomena in quantum gravity, including UV/IR mixing, novel modifications of infrared phenomenology that extend effective field theory approaches, and the relaxation of the usual notions of locality. We discuss the relevance of such concepts in quantum gravity for quantum information science, cosmology and general quantum gravity phenomenology.

[ { "created": "Mon, 14 Feb 2022 17:23:52 GMT", "version": "v1" } ]

2022-02-15

[ [ "Berglund", "Per", "" ], [ "Freidel", "Laurent", "" ], [ "Hubsch", "Tristan", "" ], [ "Kowalski-Glikman", "Jerzy", "" ], [ "Leigh", "Robert G.", "" ], [ "Mattingly", "David", "" ], [ "Minic", "Djordje", "" ] ]

We discuss the possible appearance of several rather exotic phenomena in quantum gravity, including UV/IR mixing, novel modifications of infrared phenomenology that extend effective field theory approaches, and the relaxation of the usual notions of locality. We discuss the relevance of such concepts in quantum gravity for quantum information science, cosmology and general quantum gravity phenomenology.

17.505255

17.578495

16.06723

16.56547

19.833958

18.222021

18.189888

16.547476

17.500576

17.612696

17.991558

16.787893

16.281147

16.614643

17.35076

17.591679

17.547207

16.536268

17.676544

17.043562

16.123653

1003.1306

Deog Ki Hong

Deog Ki Hong and Ho-Ung Yee

Holographic aspects of three dimensional QCD from string theory

33 pages, 10 figures; v2: references added with comments, typos corrected; v3: more references added; v4: holographic baryon profile and the analysis of its baryon charge is significantly revised, correcting errors in the previous discussion

JHEP 1005:036,2010

10.1007/JHEP05(2010)036

PNUTP-10/A01, IC/2010/007

hep-th hep-ph

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

We study two aspects of 3D QCD with massless fermions in a holographic set-up from string theory, based on D3/D7 branes; parity anomaly and baryons as baby Skyrmions. We first give a novel account of parity anomaly of 3D QCD with odd number of flavors from the IR holographic viewpoint by observing a subtle point in D7 brane embeddings with a given fixed UV theory. We also discuss its UV origin in terms of weakly coupled D-brane pictures. We then focus on the parity-symmetric case of even number of N_F flavors, and study baryons in the holographic model. We identify the monopoles of U(N_F) gauge theory dynamically broken down to U(N_F/2)x U(N_F/2) in the holographic 4 dimensional bulk as a holographic counter-part of 3D baby-Skyrmions for baryons in large N limit, and work out some details how the mapping goes. In particular, we show that the correct baryon charges emerge from the Witten effect with a space-varying theta angle.

[ { "created": "Fri, 5 Mar 2010 16:49:56 GMT", "version": "v1" }, { "created": "Tue, 16 Mar 2010 13:36:24 GMT", "version": "v2" }, { "created": "Mon, 10 May 2010 00:50:12 GMT", "version": "v3" }, { "created": "Thu, 17 Jun 2010 17:27:13 GMT", "version": "v4" } ]

2015-03-13

[ [ "Hong", "Deog Ki", "" ], [ "Yee", "Ho-Ung", "" ] ]

We study two aspects of 3D QCD with massless fermions in a holographic set-up from string theory, based on D3/D7 branes; parity anomaly and baryons as baby Skyrmions. We first give a novel account of parity anomaly of 3D QCD with odd number of flavors from the IR holographic viewpoint by observing a subtle point in D7 brane embeddings with a given fixed UV theory. We also discuss its UV origin in terms of weakly coupled D-brane pictures. We then focus on the parity-symmetric case of even number of N_F flavors, and study baryons in the holographic model. We identify the monopoles of U(N_F) gauge theory dynamically broken down to U(N_F/2)x U(N_F/2) in the holographic 4 dimensional bulk as a holographic counter-part of 3D baby-Skyrmions for baryons in large N limit, and work out some details how the mapping goes. In particular, we show that the correct baryon charges emerge from the Witten effect with a space-varying theta angle.

10.557966

10.6738

10.84133

10.125996

9.639671

10.981499

10.18926

9.807859

9.995703

11.471226

9.754608

9.834991

10.170704

9.696181

9.317471

9.652574

9.362137

9.362528

9.424803

9.657292

9.573606

0805.2827

Pulak Ranjan Giri

Conformal anomaly in non-hermitian quantum mechanics

4 pages, No figure

Int.J.Mod.Phys.A25:155-161,2010

10.1142/S0217751X10047798

SINP/TNP/2008/12

hep-th

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

A model of an electron and a Dirac monopole interacting through an axially symmetric non-hermitian but \mathcal{PT}-symmetric potential is discussed in detail. The intriguing localization of the wave-packet as a result of the anomalous breaking of the scale symmetry is shown to provide a scale for the system. The symmetry algebra for the system, which is the conformal algebra SO(2,1), is discussed and is shown to belong to the enveloping algebra of the combined algebra, composed of the Virosoro algebra, \{L_n, n\in \mathbb{N}\} and an abelian algebra, \{P_n,n\in \mathbb{N}\}.

[ { "created": "Mon, 19 May 2008 10:17:47 GMT", "version": "v1" } ]

2010-02-02

[ [ "Giri", "Pulak Ranjan", "" ] ]

A model of an electron and a Dirac monopole interacting through an axially symmetric non-hermitian but \mathcal{PT}-symmetric potential is discussed in detail. The intriguing localization of the wave-packet as a result of the anomalous breaking of the scale symmetry is shown to provide a scale for the system. The symmetry algebra for the system, which is the conformal algebra SO(2,1), is discussed and is shown to belong to the enveloping algebra of the combined algebra, composed of the Virosoro algebra, \{L_n, n\in \mathbb{N}\} and an abelian algebra, \{P_n,n\in \mathbb{N}\}.

9.241788

9.53644

9.627434

8.548293

9.139618

8.75727

8.045967

8.828279

8.676358

10.328758

8.913795

7.843101

8.916306

8.123862

8.456811

8.036462

8.019087

8.295636

7.931563

8.70979

8.390525

1703.04373

Vladimir Kopeliovich Benedikt

Vladimir B.Kopeliovich (Moscow, INR & Moscow, MIPT), Irina K.Potashnikova (CCTVal, Valparaiso & Santa Maria U., Valparaiso)

Rescaling of quantized skyrmions: from nucleon to baryons with heavy flavor

9 pages, 3 tables, no figures. Several misprints corrected, including second authors name, few amendments made

Phys. Rev. D 96, 056020 (2017)

10.1103/PhysRevD.96.056020

null

hep-th hep-ph

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

The role of rescaling (expansion or squeezing) of quantized skyrmions is studied for the spectrum of baryons beginning with nucleon and $\Delta(1232)$, and with flavors strangeness, charm or beauty. The expansion of skyrmions due to the centrifugal forces has influence on the masses of baryons without flavor ($N$ and especially $\Delta$). The rescaling of skyrmions has smaller influence on the spectrum of strange baryons, it is more important for the case of charm, and is crucial for baryons with beauty quantum number, where strong squeezing takes place. Two competing tendencies are clearly observed: expansion of skyrmions when isospin (or spin) increases, and squeezing with increasing mass of the flavor. For the case of beauty baryon $\Lambda_b$ satisfactory agreement with data can be reached for the value $r_b= F_B/F_\pi \simeq 2.6 $, for the case of $\Sigma_b$ there should be $r_b\sim 2$, so for the beauty flavor the method seems to be not quite satisfactory because of certain intrinsic discrepances. Some pentaquark states with hidden strangeness, charm or beauty are considered as well.

[ { "created": "Mon, 13 Mar 2017 13:12:56 GMT", "version": "v1" }, { "created": "Fri, 17 Mar 2017 19:39:43 GMT", "version": "v2" } ]

2017-10-04

[ [ "Kopeliovich", "Vladimir B.", "", "Moscow, INR & Moscow, MIPT" ], [ "Potashnikova", "Irina K.", "", "CCTVal, Valparaiso & Santa Maria U., Valparaiso" ] ]

The role of rescaling (expansion or squeezing) of quantized skyrmions is studied for the spectrum of baryons beginning with nucleon and $\Delta(1232)$, and with flavors strangeness, charm or beauty. The expansion of skyrmions due to the centrifugal forces has influence on the masses of baryons without flavor ($N$ and especially $\Delta$). The rescaling of skyrmions has smaller influence on the spectrum of strange baryons, it is more important for the case of charm, and is crucial for baryons with beauty quantum number, where strong squeezing takes place. Two competing tendencies are clearly observed: expansion of skyrmions when isospin (or spin) increases, and squeezing with increasing mass of the flavor. For the case of beauty baryon $\Lambda_b$ satisfactory agreement with data can be reached for the value $r_b= F_B/F_\pi \simeq 2.6 $, for the case of $\Sigma_b$ there should be $r_b\sim 2$, so for the beauty flavor the method seems to be not quite satisfactory because of certain intrinsic discrepances. Some pentaquark states with hidden strangeness, charm or beauty are considered as well.

9.971477

10.841916

9.981237

9.74284

10.386056

11.558125

10.746058

11.191773

9.648331

11.225105

10.08456

10.007988

9.702867

9.541837

9.766012

9.874812

9.857224

9.93536

9.405334

9.320503

9.429152

hep-th/0012195

Jerome P. Gauntlett

Jerome P. Gauntlett, Nakwoo Kim and Daniel Waldram

M-Fivebranes Wrapped on Supersymmetric Cycles

26 pages, 6 figures. Exact solutions for certain BPS equations and central charges for certain AdS fixed points presented. Typos corrected. Version to appear in PRD

Phys.Rev. D63 (2001) 126001

10.1103/PhysRevD.63.126001

QMW-PH-00-16

hep-th

null

We construct supergravity solutions dual to the twisted field theories arising when M-theory fivebranes wrap general supersymmetric cycles. The solutions are constructed in maximal D=7 gauged supergravity and then uplifted to D=11. Our analysis covers Kahler, special Lagrangian and exceptional calibrated cycles. The metric on the cycles are Einstein, but do not necessarily have constant curvature. We find many new examples of AdS/CFT duality, corresponding to the IR superconformal fixed points of the twisted field theories.

[ { "created": "Wed, 20 Dec 2000 19:43:01 GMT", "version": "v1" }, { "created": "Thu, 24 May 2001 15:43:21 GMT", "version": "v2" } ]

2009-10-31

[ [ "Gauntlett", "Jerome P.", "" ], [ "Kim", "Nakwoo", "" ], [ "Waldram", "Daniel", "" ] ]

We construct supergravity solutions dual to the twisted field theories arising when M-theory fivebranes wrap general supersymmetric cycles. The solutions are constructed in maximal D=7 gauged supergravity and then uplifted to D=11. Our analysis covers Kahler, special Lagrangian and exceptional calibrated cycles. The metric on the cycles are Einstein, but do not necessarily have constant curvature. We find many new examples of AdS/CFT duality, corresponding to the IR superconformal fixed points of the twisted field theories.

7.97522

7.042295

10.563557

7.015783

6.859779

6.852759

6.711508

7.092631

7.680336

10.995603

7.210831

7.748507

8.612317

7.449753

7.67842

7.204618

7.171047

7.587985

7.694294

8.362912

7.480888

1006.1536

Paul Koerber

Lectures on Generalized Complex Geometry for Physicists

94 pages, 4 figures, 5 tables, lectures Sogang University August 2007 and Modave Summer School September 2008, v2: references added

Fortsch.Phys.59:169-242,2011

10.1002/prop.201000083

KUL-TF-10/04

hep-th

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

In these lectures we review Generalized Complex Geometry and discuss two main applications to string theory: the description of supersymmetric flux compactifications and the supersymmetric embedding of D-branes. We start by reviewing G-structures, and in particular SU(3)-structure and its torsion classes, before extending to Generalized Complex Geometry. We then discuss the supersymmetry conditions of type II supergravity in terms of differential conditions on pure spinors, and finally introduce generalized calibrations to describe D-branes. As examples we discuss in some detail AdS4 compactifications, which play a role as the geometric duals in the AdS4/CFT3-correspondence.

[ { "created": "Tue, 8 Jun 2010 11:46:38 GMT", "version": "v1" }, { "created": "Thu, 2 Sep 2010 13:00:18 GMT", "version": "v2" } ]

2011-02-18

[ [ "Koerber", "Paul", "" ] ]

In these lectures we review Generalized Complex Geometry and discuss two main applications to string theory: the description of supersymmetric flux compactifications and the supersymmetric embedding of D-branes. We start by reviewing G-structures, and in particular SU(3)-structure and its torsion classes, before extending to Generalized Complex Geometry. We then discuss the supersymmetry conditions of type II supergravity in terms of differential conditions on pure spinors, and finally introduce generalized calibrations to describe D-branes. As examples we discuss in some detail AdS4 compactifications, which play a role as the geometric duals in the AdS4/CFT3-correspondence.

6.773651

5.724855

9.48717

6.255333

6.361353

5.977861

6.106445

5.98686

6.520359

8.676429

5.970222

6.115434

7.1945

6.194938

6.327972

6.234363

6.133425

6.12364

6.395667

6.83796

6.138135

hep-th/9612222

Miao Li

Strings from IIB Matrices

11 pages, harvmac, a number of 2\pi factors are inserted, a reference is added

Nucl.Phys. B499 (1997) 149-158

10.1016/S0550-3213(97)00353-2

EFI-96-49

hep-th

null

D-string action is constructed from IIB matrices, a spacetime commutator is essential in this construction. This hints at the central role of the spacetime uncertainty relation in a unified formulation of strings. Vertex operators of fundamental strings are also discussed.

[ { "created": "Sun, 22 Dec 1996 00:28:18 GMT", "version": "v1" }, { "created": "Mon, 30 Dec 1996 18:12:06 GMT", "version": "v2" } ]

2015-06-26

[ [ "Li", "Miao", "" ] ]

D-string action is constructed from IIB matrices, a spacetime commutator is essential in this construction. This hints at the central role of the spacetime uncertainty relation in a unified formulation of strings. Vertex operators of fundamental strings are also discussed.

35.547733

25.583721

31.602669

21.555008

25.393738

22.483946

22.045534

20.713825

24.157066

29.857504

25.706575

21.320414

27.105612

22.181517

21.597

21.080967

20.85717

22.007771

22.471964

27.665388

24.77507

1106.4260

Nikolaos Mavromatos

Nick E. Mavromatos

Quantum Gravity, Flavour Vacua and Supersymmetry

Invited talk at Corfu 2010 School and Workshops, September 2010, Corfu EISA (Greece)

null

10.1002/prop.201100065

CERN-PH-TH/2011-148, KCL-PH-TH/2011-22, LCTS/2011-5

hep-th gr-qc hep-ph

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

I review a novel and non-perturbative way of breaking Supersymmetry in the flavour sector of electrically neutral particles, as a result of flavour mixing in the presence of stringy quantum gravity space-time foam backgrounds that violate Lorentz and CPT symmetries. In these models, part of the mixing may itself be induced dynamically by the interactions of the flavoured particles with the space-time foam.

[ { "created": "Tue, 21 Jun 2011 16:47:17 GMT", "version": "v1" } ]

2015-05-28

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

I review a novel and non-perturbative way of breaking Supersymmetry in the flavour sector of electrically neutral particles, as a result of flavour mixing in the presence of stringy quantum gravity space-time foam backgrounds that violate Lorentz and CPT symmetries. In these models, part of the mixing may itself be induced dynamically by the interactions of the flavoured particles with the space-time foam.

16.524

11.58425

11.905084

11.419425

12.651208

12.321561

11.735295

12.088525

12.110191

12.896188

11.79049

11.521599

11.854172

11.662201

11.454084

11.176449

12.153697

11.241739

11.204405

11.785687

11.631782

hep-th/0311092

Ashish Saxena

Samir D. Mathur, Ashish Saxena, Yogesh K. Srivastava

Constructing "hair" for the three charge hole

37 pages, 7 figures LaTex, Minor revision in the discussion

Nucl.Phys.B680:415-449,2004

10.1016/j.nuclphysb.2003.12.022

OHSTPY-HEP-T-03-012

hep-th gr-qc

null

It has been found that the states of the 2-charge extremal D1-D5 system are given by smooth geometries that have no singularity and no horizon individually, but a `horizon' does arise after `coarse-graining'. To see how this concept extends to the 3-charge extremal system, we construct a perturbation on the D1-D5 geometry that carries one unit of momentum charge $P$. The perturbation is found to be regular everywhere and normalizable, so we conclude that at least this state of the 3-charge system behaves like the 2-charge states. The solution is constructed by matching (to several orders) solutions in the inner and outer regions of the geometry. We conjecture the general form of `hair' expected for the 3-charge system, and the nature of the interior of black holes in general.

[ { "created": "Tue, 11 Nov 2003 02:51:47 GMT", "version": "v1" }, { "created": "Thu, 13 Nov 2003 20:01:42 GMT", "version": "v2" } ]

2008-11-26

[ [ "Mathur", "Samir D.", "" ], [ "Saxena", "Ashish", "" ], [ "Srivastava", "Yogesh K.", "" ] ]

It has been found that the states of the 2-charge extremal D1-D5 system are given by smooth geometries that have no singularity and no horizon individually, but a `horizon' does arise after `coarse-graining'. To see how this concept extends to the 3-charge extremal system, we construct a perturbation on the D1-D5 geometry that carries one unit of momentum charge $P$. The perturbation is found to be regular everywhere and normalizable, so we conclude that at least this state of the 3-charge system behaves like the 2-charge states. The solution is constructed by matching (to several orders) solutions in the inner and outer regions of the geometry. We conjecture the general form of `hair' expected for the 3-charge system, and the nature of the interior of black holes in general.

9.871298

8.820502

9.682681

8.875579

9.376121

8.56649

9.000775

8.907773

8.550493

10.384353

8.711841

8.374548

8.653296

8.339496

8.461217

8.087858

8.372247

8.392357

8.253739

8.795467

8.323884

hep-th/0703194

Pedro Castelo Ferreira Dr.

P. Castelo Ferreira

Effective Fractional Hall Effect with Pseudo-Photons

Some of topics covered in this e-print have been included in arXiv:1006.1631

null

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

null

At variational level in the framework of dimensional reduced 'U_e(1)\times U_g(1)' electromagnetism it is considered an anyon Landau-Ginzburg Chern-Simons model for the fractional Hall effect. The collective gauge fields are due to pseudo-photons (...). We show that the model contains both magnetic vortexes due to the internal photons (interpreted as quasi-particles) and electric vortexes due to the internal pseudo-photons (interpreted as quasi-holes) that account for the anyon quantized magnetic flux and fractional electric charges, respectively. The effective magnetic flux is the only effective effect attributed to the standard internal photon which ensures compatibility between the pseudo nature of Laughlin's wave functions and macroscopical parity 'P' and time-inversion 'T' symmetries. In this way the model preserves these symmetries both at variational level and at the level of the electromagnetic equations. In particular holds the usual fractional Hall conductances with the Hall conductance '\hat{\sigma}_H' being a pseudo-scalar consistently with the electric Hall current equation. The negative energy contribution of quasi-holes to the Laughlin's wave function (...) is justified and the quantization of magnetic flux is directly equivalent to the Dirac's quantization condition applied to the coupling constants, or fundamental unit charges 'e' and 'g'. If our framework proves to be correct, quantization of magnetic flux may be the most direct evidence for Dirac's quantization condition. Our results also indicate that pseudo-photons electric vortex may give a theoretical justification for the electric potential between layers of bi-layer Hall systems.

[ { "created": "Thu, 22 Mar 2007 00:31:55 GMT", "version": "v1" }, { "created": "Mon, 16 Apr 2007 09:32:22 GMT", "version": "v2" }, { "created": "Wed, 25 Apr 2007 19:04:58 GMT", "version": "v3" }, { "created": "Thu, 12 Jul 2007 10:40:15 GMT", "version": "v4" }, { "created": "Mon, 30 Jan 2012 15:10:11 GMT", "version": "v5" } ]

2012-01-31

[ [ "Ferreira", "P. Castelo", "" ] ]

At variational level in the framework of dimensional reduced 'U_e(1)\times U_g(1)' electromagnetism it is considered an anyon Landau-Ginzburg Chern-Simons model for the fractional Hall effect. The collective gauge fields are due to pseudo-photons (...). We show that the model contains both magnetic vortexes due to the internal photons (interpreted as quasi-particles) and electric vortexes due to the internal pseudo-photons (interpreted as quasi-holes) that account for the anyon quantized magnetic flux and fractional electric charges, respectively. The effective magnetic flux is the only effective effect attributed to the standard internal photon which ensures compatibility between the pseudo nature of Laughlin's wave functions and macroscopical parity 'P' and time-inversion 'T' symmetries. In this way the model preserves these symmetries both at variational level and at the level of the electromagnetic equations. In particular holds the usual fractional Hall conductances with the Hall conductance '\hat{\sigma}_H' being a pseudo-scalar consistently with the electric Hall current equation. The negative energy contribution of quasi-holes to the Laughlin's wave function (...) is justified and the quantization of magnetic flux is directly equivalent to the Dirac's quantization condition applied to the coupling constants, or fundamental unit charges 'e' and 'g'. If our framework proves to be correct, quantization of magnetic flux may be the most direct evidence for Dirac's quantization condition. Our results also indicate that pseudo-photons electric vortex may give a theoretical justification for the electric potential between layers of bi-layer Hall systems.

17.234621

17.348827

18.900263

16.897985

18.442625

18.106936

19.012167

16.759447

16.457754

19.849508

16.079309

16.991383

16.76272

16.543213

16.706718

16.747335

17.151423

16.134232

16.241488

16.886589

16.349081

hep-th/0412274

Johannes Walcher

Stability of Landau-Ginzburg branes

46 pages, LaTeX, summary added

J.Math.Phys. 46 (2005) 082305

10.1063/1.2007590

null

hep-th math.AG

null

We evaluate the ideas of Pi-stability at the Landau-Ginzburg point in moduli space of compact Calabi-Yau manifolds, using matrix factorizations to B-model the topological D-brane category. The standard requirement of unitarity at the IR fixed point is argued to lead to a notion of "R-stability" for matrix factorizations of quasi-homogeneous LG potentials. The D0-brane on the quintic at the Landau-Ginzburg point is not obviously unstable. Aiming to relate R-stability to a moduli space problem, we then study the action of the gauge group of similarity transformations on matrix factorizations. We define a naive moment map-like flow on the gauge orbits and use it to study boundary flows in several examples. Gauge transformations of non-zero degree play an interesting role for brane-antibrane annihilation. We also give a careful exposition of the grading of the Landau-Ginzburg category of B-branes, and prove an index theorem for matrix factorizations.

[ { "created": "Wed, 22 Dec 2004 15:31:44 GMT", "version": "v1" }, { "created": "Thu, 6 Jan 2005 21:23:03 GMT", "version": "v2" }, { "created": "Thu, 17 Feb 2005 13:54:07 GMT", "version": "v3" }, { "created": "Fri, 29 Jul 2005 19:06:09 GMT", "version": "v4" } ]

2009-11-10

[ [ "Walcher", "Johannes", "" ] ]

We evaluate the ideas of Pi-stability at the Landau-Ginzburg point in moduli space of compact Calabi-Yau manifolds, using matrix factorizations to B-model the topological D-brane category. The standard requirement of unitarity at the IR fixed point is argued to lead to a notion of "R-stability" for matrix factorizations of quasi-homogeneous LG potentials. The D0-brane on the quintic at the Landau-Ginzburg point is not obviously unstable. Aiming to relate R-stability to a moduli space problem, we then study the action of the gauge group of similarity transformations on matrix factorizations. We define a naive moment map-like flow on the gauge orbits and use it to study boundary flows in several examples. Gauge transformations of non-zero degree play an interesting role for brane-antibrane annihilation. We also give a careful exposition of the grading of the Landau-Ginzburg category of B-branes, and prove an index theorem for matrix factorizations.

13.212684

14.152784

15.751605

12.171799

12.615491

12.999069

12.61602

13.078767

12.530128

15.308355

12.401185

11.701818

13.413278

11.784226

11.735021

11.654163

11.806464

12.258349

12.269232

13.430656

12.02869

hep-th/0506105

Benjamin Doyon

Finite-temperature form factors in the free Majorana theory

40 pp.; v2: 42 pp., refs and acknowledgment added, typos corrected, description of general matrix elements corrected and extended; v3: 47 pp., appendix added

J.Stat.Mech.0511:P11006,2005

10.1088/1742-5468/2005/11/P11006

null

hep-th cond-mat.str-el

null

We study the large distance expansion of correlation functions in the free massive Majorana theory at finite temperature, alias the Ising field theory at zero magnetic field on a cylinder. We develop a method that mimics the spectral decomposition, or form factor expansion, of zero-temperature correlation functions, introducing the concept of "finite-temperature form factors". Our techniques are different from those of previous attempts in this subject. We show that an appropriate analytical continuation of finite-temperature form factors gives form factors in the quantization scheme on the circle. We show that finite-temperature form factor expansions are able to reproduce expansions in form factors on the circle. We calculate finite-temperature form factors of non-interacting fields (fields that are local with respect to the fundamental fermion field). We observe that they are given by a mixing of their zero-temperature form factors and of those of other fields of lower scaling dimension. We then calculate finite-temperature form factors of order and disorder fields. For this purpose, we derive the Riemann-Hilbert problem that completely specifies the set of finite-temperature form factors of general twist fields (order and disorder fields and their descendants). This Riemann-Hilbert problem is different from the zero-temperature one, and so are its solutions. Our results agree with the known form factors on the circle of order and disorder fields.

[ { "created": "Tue, 14 Jun 2005 19:02:33 GMT", "version": "v1" }, { "created": "Wed, 29 Jun 2005 16:29:58 GMT", "version": "v2" }, { "created": "Wed, 14 Dec 2005 11:52:28 GMT", "version": "v3" } ]

2011-02-16

[ [ "Doyon", "Benjamin", "" ] ]

We study the large distance expansion of correlation functions in the free massive Majorana theory at finite temperature, alias the Ising field theory at zero magnetic field on a cylinder. We develop a method that mimics the spectral decomposition, or form factor expansion, of zero-temperature correlation functions, introducing the concept of "finite-temperature form factors". Our techniques are different from those of previous attempts in this subject. We show that an appropriate analytical continuation of finite-temperature form factors gives form factors in the quantization scheme on the circle. We show that finite-temperature form factor expansions are able to reproduce expansions in form factors on the circle. We calculate finite-temperature form factors of non-interacting fields (fields that are local with respect to the fundamental fermion field). We observe that they are given by a mixing of their zero-temperature form factors and of those of other fields of lower scaling dimension. We then calculate finite-temperature form factors of order and disorder fields. For this purpose, we derive the Riemann-Hilbert problem that completely specifies the set of finite-temperature form factors of general twist fields (order and disorder fields and their descendants). This Riemann-Hilbert problem is different from the zero-temperature one, and so are its solutions. Our results agree with the known form factors on the circle of order and disorder fields.

7.415626

7.944431

8.406694

7.623754

7.812545

7.838188

7.991311

8.05246

7.542979

9.853691

7.782933

7.352761

8.080662

7.335146

7.587356

7.411129

7.570238

7.274409

7.33584

8.205156

7.31304

1805.03676

Keshav Dasgupta

Keshav Dasgupta, Jake Elituv, Maxim Emelin, Anh-Khoi Trinh

Non-Kahler Deformed Conifold, Ultra-Violet Completion and Supersymmetric Constraints in the Baryonic Branch

73 pages, 11 figures, LaTex; v2: Typos corrected and references added

null

hep-th

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

Gravity duals for a class of UV complete minimally supersymmetric non-conformal gauge theories require deformed conifolds with fluxes. However these manifolds do not allow for the standard Kahler or conformally Kahler metrics on them, instead the metrics are fully non-Kahler. We take a generic such configuration of a non-Kahler deformed conifold with fluxes and ask what constraints do supersymmetry impose in the Baryonic branch. We study the supersymmetry conditions and show that for the correct choices of the vielbeins and the complex structure all the equations may be consistently solved. The constraints now lead not only to the known cases in the literature but also to some new backgrounds. We also show how geometric features of these backgrounds, including the overall warp factor and the resolution parameters, can be seen on the field theory side from perturbative `probe-brane' type calculations by Higgsing the theory and studying one-loop 4-point functions of vector and chiral multiplets. Finally we discuss how UV completions of these gauge theories may be seen from our set-up, both from type IIB as well as from the T-dual type IIA brane constructions.

[ { "created": "Wed, 9 May 2018 18:08:10 GMT", "version": "v1" }, { "created": "Wed, 6 Jun 2018 04:51:22 GMT", "version": "v2" } ]

2018-06-07

[ [ "Dasgupta", "Keshav", "" ], [ "Elituv", "Jake", "" ], [ "Emelin", "Maxim", "" ], [ "Trinh", "Anh-Khoi", "" ] ]

Gravity duals for a class of UV complete minimally supersymmetric non-conformal gauge theories require deformed conifolds with fluxes. However these manifolds do not allow for the standard Kahler or conformally Kahler metrics on them, instead the metrics are fully non-Kahler. We take a generic such configuration of a non-Kahler deformed conifold with fluxes and ask what constraints do supersymmetry impose in the Baryonic branch. We study the supersymmetry conditions and show that for the correct choices of the vielbeins and the complex structure all the equations may be consistently solved. The constraints now lead not only to the known cases in the literature but also to some new backgrounds. We also show how geometric features of these backgrounds, including the overall warp factor and the resolution parameters, can be seen on the field theory side from perturbative `probe-brane' type calculations by Higgsing the theory and studying one-loop 4-point functions of vector and chiral multiplets. Finally we discuss how UV completions of these gauge theories may be seen from our set-up, both from type IIB as well as from the T-dual type IIA brane constructions.

12.070442

11.90044

12.696113

11.432945

11.029821

11.558874

11.090769

11.705412

11.185076

13.787826

10.945633

10.97278

11.848591

11.200596

11.406832

11.198897

10.981273

11.106726

11.148883

11.406686

10.872036

hep-th/9411083

Vadim Schechtman

V.Schechtman, H.Terao, A.Varchenko

Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors

10 pages, latex. A small error and a title in the bibliography are corrected

J. Pure Appl. Algebra 100 (1995) 93

null

hep-th alg-geom math.AG math.QA q-alg

null

In this note we strenghten a theorem by Esnault-Schechtman-Viehweg which states that one can compute the cohomology of a complement of hyperplanes in a complex affine space with coefficients in a local system using only logarithmic global differential forms, provided certain "Aomoto non-resonance conditions" for monodromies are fulfilled at some "edges" (intersections of hyperplanes). We prove that it is enough to check these conditions on a smaller subset of edges. We show that for certain known one dimensional local systems over configuration spaces of points in a projective line defined by a root system and a finite set of affine weights (these local systems arise in the geometric study of Knizhnik-Zamolodchikov differential equations), the Aomoto resonance conditions at non-diagonal edges coincide with Kac-Kazhdan conditions of reducibility of Verma modules over affine Lie algebras.

[ { "created": "Fri, 11 Nov 1994 15:32:53 GMT", "version": "v1" }, { "created": "Mon, 14 Nov 1994 15:37:11 GMT", "version": "v2" }, { "created": "Thu, 22 Dec 1994 13:30:20 GMT", "version": "v3" } ]

2008-02-03

[ [ "Schechtman", "V.", "" ], [ "Terao", "H.", "" ], [ "Varchenko", "A.", "" ] ]

In this note we strenghten a theorem by Esnault-Schechtman-Viehweg which states that one can compute the cohomology of a complement of hyperplanes in a complex affine space with coefficients in a local system using only logarithmic global differential forms, provided certain "Aomoto non-resonance conditions" for monodromies are fulfilled at some "edges" (intersections of hyperplanes). We prove that it is enough to check these conditions on a smaller subset of edges. We show that for certain known one dimensional local systems over configuration spaces of points in a projective line defined by a root system and a finite set of affine weights (these local systems arise in the geometric study of Knizhnik-Zamolodchikov differential equations), the Aomoto resonance conditions at non-diagonal edges coincide with Kac-Kazhdan conditions of reducibility of Verma modules over affine Lie algebras.

8.224101

10.131808

10.553472

9.285837

10.041232

9.783734

10.072428

9.713197

8.845622

11.543818

8.630195

8.629838

8.179819

7.927496

8.430895

8.467565

8.247952

8.097571

7.974934

8.510921

8.306327

2007.00672

Joan Quirant

Fernando Marchesano, David Prieto, Joan Quirant and Pramod Shukla

Systematics of Type IIA moduli stabilisation

41 pages + appendices, 2 figures; v2: minor corrections and references added

JHEP 11 (2020) 113

10.1007/JHEP11(2020)113

IFT-UAM/CSIC-20-95

hep-th

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

We analyse the flux-induced scalar potential for type IIA orientifolds in the presence of $p$-form, geometric and non-geometric fluxes. Just like in the Calabi-Yau case, the potential presents a bilinear structure, with a factorised dependence on axions and saxions. This feature allows one to perform a systematic search for vacua, which we implement for the case of geometric backgrounds. Guided by stability criteria, we consider configurations with a particular on-shell F-term pattern, for which we derive a no-go result for de Sitter extrema. We classify branches of supersymmetric and non-supersymmetric vacua, and argue that the latter are perturbatively stable for a large subset of them. Our solutions reproduce and generalise previous results in the literature, obtained either from the 4d or 10d viewpoint.

[ { "created": "Wed, 1 Jul 2020 18:00:02 GMT", "version": "v1" }, { "created": "Fri, 16 Oct 2020 10:22:28 GMT", "version": "v2" } ]

2022-04-29

[ [ "Marchesano", "Fernando", "" ], [ "Prieto", "David", "" ], [ "Quirant", "Joan", "" ], [ "Shukla", "Pramod", "" ] ]

We analyse the flux-induced scalar potential for type IIA orientifolds in the presence of $p$-form, geometric and non-geometric fluxes. Just like in the Calabi-Yau case, the potential presents a bilinear structure, with a factorised dependence on axions and saxions. This feature allows one to perform a systematic search for vacua, which we implement for the case of geometric backgrounds. Guided by stability criteria, we consider configurations with a particular on-shell F-term pattern, for which we derive a no-go result for de Sitter extrema. We classify branches of supersymmetric and non-supersymmetric vacua, and argue that the latter are perturbatively stable for a large subset of them. Our solutions reproduce and generalise previous results in the literature, obtained either from the 4d or 10d viewpoint.

9.785038

8.103559

10.415011

8.581335

8.296496

8.503955

8.692991

8.211899

8.725924

10.106312

8.822239

8.755567

9.68222

8.897733

8.828897

9.065918

8.664369

8.722136

8.709192

9.458056

8.6173

1211.3913

Senarath P. de Alwis

S. P. de Alwis

A Local Evaluation of Global Issues in SUSY breaking

14 pages

null

10.1007/JHEP01(2013)190

COLO-HEP-577

hep-th hep-ph

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

It is well known that there are different global (i.e. $M_{P}\rightarrow\infty$) limits of N=1 supergravity. We distinguish between these limits and their relevance to low energy phenomenology. We discuss a) fermion mass matrices and recently proved theorems in global SUSY b) stability issues and SUSY breaking d) R-symmetry and a recently derived bound on the superpotential and e) FI terms in global and local SUSY.

[ { "created": "Fri, 16 Nov 2012 15:01:36 GMT", "version": "v1" } ]

2015-06-12

[ [ "de Alwis", "S. P.", "" ] ]

It is well known that there are different global (i.e. $M_{P}\rightarrow\infty$) limits of N=1 supergravity. We distinguish between these limits and their relevance to low energy phenomenology. We discuss a) fermion mass matrices and recently proved theorems in global SUSY b) stability issues and SUSY breaking d) R-symmetry and a recently derived bound on the superpotential and e) FI terms in global and local SUSY.

13.454177

12.364302

11.013204

11.54425

12.294039

11.388959

12.335555

11.584334

11.820855

12.06833

11.712735

11.264704

11.486996

11.144282

11.849865

11.748164

11.224074

10.961063

10.798747

11.163844

11.409403

hep-th/0404041

Anton Kapustin

Gauge theory, topological strings, and S-duality

9 pages, latex. v2: a footnote has been added. The footnote corrects an inaccuracy in the original argument; the results are unchanged. v3: exposition improved

JHEP0409:034,2004

10.1088/1126-6708/2004/09/034

CALT-68-2490

hep-th

null

We offer a derivation of the duality between the topological U(1) gauge theory on a Calabi-Yau 3-fold and the topological A-model on the same manifold. This duality was conjectured recently by Iqbal, Nekrasov, Okounkov, and Vafa. We deduce it from the S-duality of the IIB superstring. We also argue that the mirror version of this duality relates the topological B-model on a Calabi-Yau 3-fold and a topological sector of the Type IIA Little String Theory on the same manifold.

[ { "created": "Mon, 5 Apr 2004 23:10:07 GMT", "version": "v1" }, { "created": "Tue, 1 Jun 2004 20:58:55 GMT", "version": "v2" }, { "created": "Sat, 24 Jul 2004 23:37:19 GMT", "version": "v3" } ]

2008-11-26

[ [ "Kapustin", "Anton", "" ] ]

We offer a derivation of the duality between the topological U(1) gauge theory on a Calabi-Yau 3-fold and the topological A-model on the same manifold. This duality was conjectured recently by Iqbal, Nekrasov, Okounkov, and Vafa. We deduce it from the S-duality of the IIB superstring. We also argue that the mirror version of this duality relates the topological B-model on a Calabi-Yau 3-fold and a topological sector of the Type IIA Little String Theory on the same manifold.

4.260947

3.769411

4.536886

3.771354

4.029622

4.097478

3.931902

3.957029

3.970523

4.488453

3.914502

3.699154

4.362743

3.933102

3.927277

3.843573

3.839519

3.930475

3.908078

4.414026

3.805484

1611.00360

Jonathan Maltz

Jonathan Maltz, Leonard Susskind

de Sitter as a Resonance

5 pages, 2 figures, to appear in PRL, Minor typos corrected

Phys. Rev. Lett. 118, 101602 (2017)

10.1103/PhysRevLett.118.101602

SU-ITP-16/18

hep-th

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

A quantum mechanical formulation of de Sitter cosmological spacetimes still eludes string theory. In this paper we conjecture a potentially rigorous framework in which the status of de Sitter space is the same as that of a resonance in a scattering process. We conjecture that transition amplitudes between certain states with asymptotically supersymmetric flat vacua contain resonant poles characteristic metastable intermediate states. A calculation employing constrained instantons illustrates this idea.

[ { "created": "Tue, 1 Nov 2016 20:00:00 GMT", "version": "v1" }, { "created": "Tue, 6 Dec 2016 23:40:52 GMT", "version": "v2" }, { "created": "Fri, 17 Feb 2017 21:59:37 GMT", "version": "v3" } ]

2017-03-15

[ [ "Maltz", "Jonathan", "" ], [ "Susskind", "Leonard", "" ] ]

A quantum mechanical formulation of de Sitter cosmological spacetimes still eludes string theory. In this paper we conjecture a potentially rigorous framework in which the status of de Sitter space is the same as that of a resonance in a scattering process. We conjecture that transition amplitudes between certain states with asymptotically supersymmetric flat vacua contain resonant poles characteristic metastable intermediate states. A calculation employing constrained instantons illustrates this idea.

18.438307

15.031162

19.21608

16.40933

19.923929

18.345779

19.642609

15.428531

16.395565

20.868582

16.215271

18.061586

18.691309

17.142391

18.15778

17.568256

18.550694

17.288832

17.301178

18.888281

17.313471

2307.00939

Shi Chen

Shi Chen, Yuya Tanizaki

Solitonic symmetry as non-invertible symmetry: cohomology theories with TQFT coefficients

43 pages, 0 figures

null

YITP-23-59

hep-th cond-mat.str-el math-ph math.MP

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

Originating from the topology of the path-integral target space $Y$, solitonic symmetry describes the conservation law of topological solitons and the selection rule of defect operators. As Ref.~\cite{Chen:2022cyw} exemplifies, the conventional treatment of solitonic symmetry as an invertible symmetry based on homotopy groups is inappropriate. In this paper, we develop a systematic framework to treat solitonic symmetries as non-invertible generalized symmetries. We propose that the non-invertible solitonic symmetries are generated by the partition functions of auxiliary topological quantum field theories (TQFTs) coupled with the target space $Y$. We then understand solitonic symmetries as non-invertible cohomology theories on $Y$ with TQFT coefficients. This perspective enables us to identify the invertible solitonic subsymmetries and also clarifies the topological origin of the non-invertibility in solitonic symmetry. We finally discuss how solitonic symmetry relies on and goes beyond the conventional wisdom of homotopy groups. This paper is aimed at a tentative general framework for solitonic symmetry, serving as a starting point for future developments.

[ { "created": "Mon, 3 Jul 2023 11:27:49 GMT", "version": "v1" }, { "created": "Sun, 6 Aug 2023 18:14:48 GMT", "version": "v2" } ]

2023-08-08

[ [ "Chen", "Shi", "" ], [ "Tanizaki", "Yuya", "" ] ]

Originating from the topology of the path-integral target space $Y$, solitonic symmetry describes the conservation law of topological solitons and the selection rule of defect operators. As Ref.~\cite{Chen:2022cyw} exemplifies, the conventional treatment of solitonic symmetry as an invertible symmetry based on homotopy groups is inappropriate. In this paper, we develop a systematic framework to treat solitonic symmetries as non-invertible generalized symmetries. We propose that the non-invertible solitonic symmetries are generated by the partition functions of auxiliary topological quantum field theories (TQFTs) coupled with the target space $Y$. We then understand solitonic symmetries as non-invertible cohomology theories on $Y$ with TQFT coefficients. This perspective enables us to identify the invertible solitonic subsymmetries and also clarifies the topological origin of the non-invertibility in solitonic symmetry. We finally discuss how solitonic symmetry relies on and goes beyond the conventional wisdom of homotopy groups. This paper is aimed at a tentative general framework for solitonic symmetry, serving as a starting point for future developments.

7.83019

8.28574

8.208923

7.876945

7.824392

7.656583

8.118463

7.487717

7.646501

8.710385

7.405071

7.513408

7.717382

7.568282

7.567068

7.56377

7.672575

7.456254

7.614419

7.680038

7.495338

hep-th/0011053

Jerzy Lukierski

P. Kosinski (Lodz Univ.), J. Lukierski (Wroclaw Univ.) and P. Maslanka (Lodz Univ.)

Quantum Deformations of Space-Time SUSY and Noncommutative Superfield Theory

LaTeX 2e, 1 figures (included), 13 pages, Invited lecture (J.L.) at NATO Advanced Research Workshop: "Noncommutative Structure in Mathematics and Physics", Kiev, 24-27.09.2000, to be published in Pro., Kluwer Acad. Press

null

hep-th

null

We review shortly present status of quantum deformations of Poincar\'{e} and conformal supersymmetries. After recalling the $\kappa$-deformation of $\hbox{D=4}$ Poincar\'{e} supersymmetries we describe the corresponding star product multiplication for chiral superfields. In order to describe the deformation of chiral vertices in momentum space the integration formula over $\kappa$-deformed chiral superspace is proposed.

[ { "created": "Wed, 8 Nov 2000 14:44:28 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kosinski", "P.", "", "Lodz Univ." ], [ "Lukierski", "J.", "", "Wroclaw Univ." ], [ "Maslanka", "P.", "", "Lodz Univ." ] ]

We review shortly present status of quantum deformations of Poincar\'{e} and conformal supersymmetries. After recalling the $\kappa$-deformation of $\hbox{D=4}$ Poincar\'{e} supersymmetries we describe the corresponding star product multiplication for chiral superfields. In order to describe the deformation of chiral vertices in momentum space the integration formula over $\kappa$-deformed chiral superspace is proposed.

8.24008

6.975888

8.003089

6.824876

7.692219

7.748948

7.874252

6.81259

6.981593

9.731636

7.091212

7.205799

7.782111

6.97965

7.479201

7.599231

7.305539

7.398463

7.279562

8.132337

7.449366

1603.00274

Johannes Oertel

Johannes Oertel, Ralf Sch\"utzhold

WKB approach to pair creation in spacetime-dependent fields

15 pages, 5 figures

Phys. Rev. D 99, 125014 (2019)

10.1103/PhysRevD.99.125014

null

hep-th

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

Besides tunneling in static potential landscapes, for example, the Wentzel-Kramers-Brillouin (WKB) approach is a powerful nonperturbative approximation tool to study particle creation due to time-dependent background fields, such as cosmological particle production or the Sauter-Schwinger effect, i.e., electron-positron pair creation in a strong electric field. However, our understanding of particle creation processes in background fields depending on both space and time is rather incomplete. In order to venture into this direction, we propose a generalization of the WKB method to truly spacetime-dependent fields and apply it to the case of a spacetime-dependent mass.

[ { "created": "Tue, 1 Mar 2016 13:51:42 GMT", "version": "v1" }, { "created": "Mon, 22 Oct 2018 12:12:08 GMT", "version": "v2" }, { "created": "Fri, 28 Jun 2019 09:47:50 GMT", "version": "v3" } ]

2019-07-03

[ [ "Oertel", "Johannes", "" ], [ "Schützhold", "Ralf", "" ] ]

Besides tunneling in static potential landscapes, for example, the Wentzel-Kramers-Brillouin (WKB) approach is a powerful nonperturbative approximation tool to study particle creation due to time-dependent background fields, such as cosmological particle production or the Sauter-Schwinger effect, i.e., electron-positron pair creation in a strong electric field. However, our understanding of particle creation processes in background fields depending on both space and time is rather incomplete. In order to venture into this direction, we propose a generalization of the WKB method to truly spacetime-dependent fields and apply it to the case of a spacetime-dependent mass.

6.340398

6.052616

6.005538

5.835126

6.244944

6.47394

6.170603

5.828142

5.613476

6.253075

5.984258

5.852375

5.875108

5.718036

5.809677

5.862744

5.830914

5.89407

5.765972

5.733364

5.744929

0711.1671

Mikhail V. Altaisky

Wavelet-Based Quantum Field Theory

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

SIGMA 3:105,2007

10.3842/SIGMA.2007.105

null

hep-th

null

The Euclidean quantum field theory for the fields $\phi_{\Delta x}(x)$, which depend on both the position $x$ and the resolution $\Delta x$, constructed in SIGMA 2 (2006), 046, hep-th/0604170, on the base of the continuous wavelet transform, is considered. The Feynman diagrams in such a theory become finite under the assumption there should be no scales in internal lines smaller than the minimal of scales of external lines. This regularisation agrees with the existing calculations of radiative corrections to the electron magnetic moment. The transition from the newly constructed theory to a standard Euclidean field theory is achieved by integration over the scale arguments.

[ { "created": "Sun, 11 Nov 2007 18:41:10 GMT", "version": "v1" } ]

2008-12-19

[ [ "Altaisky", "Mikhail V.", "" ] ]

The Euclidean quantum field theory for the fields $\phi_{\Delta x}(x)$, which depend on both the position $x$ and the resolution $\Delta x$, constructed in SIGMA 2 (2006), 046, hep-th/0604170, on the base of the continuous wavelet transform, is considered. The Feynman diagrams in such a theory become finite under the assumption there should be no scales in internal lines smaller than the minimal of scales of external lines. This regularisation agrees with the existing calculations of radiative corrections to the electron magnetic moment. The transition from the newly constructed theory to a standard Euclidean field theory is achieved by integration over the scale arguments.

9.982084

10.607571

10.360775

9.461255

10.057028

9.510887

10.044109

10.073581

9.024841

10.05731

9.345678

10.286818

9.799337

9.590847

9.67944

9.727159

10.110093

9.610089

9.682791

9.774002

9.786995

hep-th/9801069

Marco Frasca

Duality in Perturbation Theory and the Quantum Adiabatic Approximation

9 pages, revtex. Improved english and presentation. Final version accepted for publication by Physical Review A

Phys.Rev. A58 (1998) 3439

10.1103/PhysRevA.58.3439

null

hep-th chao-dyn cond-mat gr-qc hep-ph math-ph math.MP nlin.CD quant-ph

null

Duality is considered for the perturbation theory by deriving, given a series solution in a small parameter, its dual series with the development parameter being the inverse of the other. A dual symmetry in perturbation theory is identified. It is then shown that the dual to the Dyson series in quantum mechanics is given by a recent devised series having the adiabatic approximation as leading order. A simple application of this result is given by rederiving a theorem for strongly perturbed quantum systems.

[ { "created": "Mon, 12 Jan 1998 19:59:38 GMT", "version": "v1" }, { "created": "Sun, 28 Jun 1998 10:48:41 GMT", "version": "v2" }, { "created": "Thu, 23 Jul 1998 18:21:15 GMT", "version": "v3" } ]

2016-09-06

[ [ "Frasca", "Marco", "" ] ]

Duality is considered for the perturbation theory by deriving, given a series solution in a small parameter, its dual series with the development parameter being the inverse of the other. A dual symmetry in perturbation theory is identified. It is then shown that the dual to the Dyson series in quantum mechanics is given by a recent devised series having the adiabatic approximation as leading order. A simple application of this result is given by rederiving a theorem for strongly perturbed quantum systems.

15.458406

16.154453

15.826101

14.118321

14.839246

16.902472

14.971778

14.427176

15.852419

16.821341

14.09422

13.311192

14.125102

13.808231

13.714916

14.201969

13.459077

13.937506

13.562099

13.820738

13.870997

1011.0112

Koichi Murakami

Nobuyuki Ishibashi, Koichi Murakami

Light-cone Gauge NSR Strings in Noncritical Dimensions II -- Ramond Sector

33 pages; v2: minor modifications

JHEP 1101:008,2011

10.1007/JHEP01(2011)008

UTHEP-613, OIQP-10-10

hep-th

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

Light-cone gauge superstring theory in noncritical dimensions corresponds to a worldsheet theory with nonstandard longitudinal part in the conformal gauge. The longitudinal part of the worldsheet theory is a superconformal field theory called X^{\pm} CFT. We show that the X^{\pm} CFT combined with the super-reparametrization ghost system can be described by free variables. It is possible to express the correlation functions in terms of these free variables. Bosonizing the free variables, we construct the spin fields and BRST invariant vertex operators for the Ramond sector in the conformal gauge formulation. By using these vertex operators, we can rewrite the tree amplitudes of the noncritical light-cone gauge string field theory, with external lines in the (R,R) sector as well as those in the (NS,NS) sector, in a BRST invariant way.

[ { "created": "Sat, 30 Oct 2010 22:56:06 GMT", "version": "v1" }, { "created": "Tue, 9 Nov 2010 20:06:32 GMT", "version": "v2" } ]

2011-01-27

[ [ "Ishibashi", "Nobuyuki", "" ], [ "Murakami", "Koichi", "" ] ]

Light-cone gauge superstring theory in noncritical dimensions corresponds to a worldsheet theory with nonstandard longitudinal part in the conformal gauge. The longitudinal part of the worldsheet theory is a superconformal field theory called X^{\pm} CFT. We show that the X^{\pm} CFT combined with the super-reparametrization ghost system can be described by free variables. It is possible to express the correlation functions in terms of these free variables. Bosonizing the free variables, we construct the spin fields and BRST invariant vertex operators for the Ramond sector in the conformal gauge formulation. By using these vertex operators, we can rewrite the tree amplitudes of the noncritical light-cone gauge string field theory, with external lines in the (R,R) sector as well as those in the (NS,NS) sector, in a BRST invariant way.

7.249917

6.817833

8.370899

6.858556

7.198514

7.634239

7.504106

6.878904

6.726358

8.088354

7.102686

7.020317

7.421996

6.855126

7.314298

7.176951

7.425866

7.123095

6.974334

7.090399

7.033057

hep-th/9212060

Terry Gannon

The Classification of Affine SU(3) Modular Invariant Partition Functions

30 pages, (plain tex)

Commun.Math.Phys. 161 (1994) 233-264

10.1007/BF02099776

null

hep-th

null

A complete classification of the WZNW modular invariant partition functions is known for very few affine algebras and levels, the most significant being all levels of SU(2), and level 1 of all simple algebras. In this paper we solve the classification problem for SU(3) modular invariant partition functions. Our approach will also be applicable to other affine Lie algebras, and we include some preliminary work in that direction, including a sketch of a new proof for SU(2).

[ { "created": "Wed, 9 Dec 1992 21:51:00 GMT", "version": "v1" } ]

2015-06-26

[ [ "Gannon", "Terry", "" ] ]

A complete classification of the WZNW modular invariant partition functions is known for very few affine algebras and levels, the most significant being all levels of SU(2), and level 1 of all simple algebras. In this paper we solve the classification problem for SU(3) modular invariant partition functions. Our approach will also be applicable to other affine Lie algebras, and we include some preliminary work in that direction, including a sketch of a new proof for SU(2).

8.029657

7.782961

9.052863

7.441021

7.99548

8.370868

7.581565

7.615043

7.818956

8.521716

7.563597

8.306601

8.239009

7.726556

8.036224

7.9388

7.712508

7.796517

7.896671

8.153265

7.64445

1601.01945

W. N. Polyzou

Wayne Polyzou and Marc Herrmann

The light-front vacuum

8 pages; proceedings for light cone 2015

null

10.1007/s00601-016-1081-5

null

hep-th nucl-th

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

We discuss the relation between the trivial light-front vacuum and the non-trivial Heisenberg vacuum.

[ { "created": "Fri, 8 Jan 2016 17:02:03 GMT", "version": "v1" } ]

2016-04-20

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

We discuss the relation between the trivial light-front vacuum and the non-trivial Heisenberg vacuum.

18.803185

11.675232

8.677784

11.067912

12.599793

10.998783

12.910989

10.93679

9.155474

12.049814

10.235407

11.821571

13.074065

12.336402

13.40061

12.449714

12.921552

12.896708

11.56621

12.600064

13.56415

2011.11622

Simone Giombi

Simone Giombi, Jonah Hyman

On the Large Charge Sector in the Critical $O(N)$ Model at Large $N$

27 pages, 4 figures. v2: minor changes, references added

null

hep-th hep-ph

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

We study operators in the rank-$j$ totally symmetric representation of $O(N)$ in the critical $O(N)$ model in arbitrary dimension $d$, in the limit of large $N$ and large charge $j$ with $j/N\equiv \hat{j}$ fixed. The scaling dimensions of the operators in this limit may be obtained by a semiclassical saddle point calculation. Using the standard Hubbard-Stratonovich description of the critical $O(N)$ model at large $N$, we solve the relevant saddle point equation and determine the scaling dimensions as a function of $d$ and $\hat{j}$, finding agreement with all existing results in various limits. In $4<d<6$, we observe that the scaling dimension of the large charge operators becomes complex above a critical value of the ratio $j/N$, signaling an instability of the theory in that range of $d$. Finally, we also derive results for the correlation functions involving two "heavy" and one or two "light" operators. In particular, we determine the form of the "heavy-heavy-light" OPE coefficients as a function of the charges and $d$.

[ { "created": "Mon, 23 Nov 2020 18:51:17 GMT", "version": "v1" }, { "created": "Wed, 9 Dec 2020 15:34:09 GMT", "version": "v2" } ]

2020-12-10

[ [ "Giombi", "Simone", "" ], [ "Hyman", "Jonah", "" ] ]

We study operators in the rank-$j$ totally symmetric representation of $O(N)$ in the critical $O(N)$ model in arbitrary dimension $d$, in the limit of large $N$ and large charge $j$ with $j/N\equiv \hat{j}$ fixed. The scaling dimensions of the operators in this limit may be obtained by a semiclassical saddle point calculation. Using the standard Hubbard-Stratonovich description of the critical $O(N)$ model at large $N$, we solve the relevant saddle point equation and determine the scaling dimensions as a function of $d$ and $\hat{j}$, finding agreement with all existing results in various limits. In $4<d<6$, we observe that the scaling dimension of the large charge operators becomes complex above a critical value of the ratio $j/N$, signaling an instability of the theory in that range of $d$. Finally, we also derive results for the correlation functions involving two "heavy" and one or two "light" operators. In particular, we determine the form of the "heavy-heavy-light" OPE coefficients as a function of the charges and $d$.

5.847883

4.815608

6.217777

4.768399

5.073146

5.076583

4.85708

4.820549

4.641124

6.129022

4.873186

4.901924

5.657342

5.077782

4.963295

4.96907

4.956925

5.104042

5.133212

5.580112

5.061335

1701.04446

Orlando Alvarez

Emergent Gravity and Weyl's Volume Formula

41 pages, 8 figures

null

hep-th

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

In physical theories where the energy (action) is localized near a submanifold of Euclidean (Minkowski) space, there is a universal expression for the energy (or the action). We derive a multipole expansion for the energy that has a finite number of terms, and depends on intrinsic geometric invariants of the submanifold and extrinsic invariants of the embedding of the submanifold. This universal expression is a generalization of an exact formula of Hermann Weyl for the volume of a tube. We describe when our result is applicable, when our generalization gives an exact result, and when there are corrections (often exponentially small) to our formula. In special situations, dictated by spherical symmetry, the expression is a generalized Lovelock lagrangian for gravity, a class of theories that are interesting because they have no negative metric states. We discuss whether these results represent a true theory of emergent gravity by discussing simple models where a higher dimensional quantum field theory without a fundamental graviton leads to a gravity-like theory on a submanifold where all or some of the dynamical degrees of freedom are fluctuations of the metric on the submanifold.

[ { "created": "Mon, 16 Jan 2017 20:11:45 GMT", "version": "v1" } ]

2017-01-18

[ [ "Alvarez", "Orlando", "" ] ]

In physical theories where the energy (action) is localized near a submanifold of Euclidean (Minkowski) space, there is a universal expression for the energy (or the action). We derive a multipole expansion for the energy that has a finite number of terms, and depends on intrinsic geometric invariants of the submanifold and extrinsic invariants of the embedding of the submanifold. This universal expression is a generalization of an exact formula of Hermann Weyl for the volume of a tube. We describe when our result is applicable, when our generalization gives an exact result, and when there are corrections (often exponentially small) to our formula. In special situations, dictated by spherical symmetry, the expression is a generalized Lovelock lagrangian for gravity, a class of theories that are interesting because they have no negative metric states. We discuss whether these results represent a true theory of emergent gravity by discussing simple models where a higher dimensional quantum field theory without a fundamental graviton leads to a gravity-like theory on a submanifold where all or some of the dynamical degrees of freedom are fluctuations of the metric on the submanifold.

9.904108

10.129308

10.615173

9.795614

9.874346

10.398906

10.385642

9.860574

9.865597

11.245678

9.785985

9.590954

9.649794

9.491096

9.638336

9.720779

9.47281

9.624774

9.778291

10.098164

9.383013

0802.3518

Ctirad Klimcik

C. Klimcik

On integrability of the Yang-Baxter $\si$-model

22 pages

J.Math.Phys.50:043508,2009

10.1063/1.3116242

null

hep-th

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

We prove the integrability of the Yang-Baxter $\si$-model which is the Poisson-Lie deformation of the principal chiral model. We find also an explicit one-to-one map transforming every solution of the principal chiral model into a solution of the deformed model. With the help of this map, the standard procedure of the dressing of the principal chiral solutions can be directly transferred into the deformed Yang-Baxter context.

[ { "created": "Sun, 24 Feb 2008 17:03:05 GMT", "version": "v1" } ]

2009-11-19

[ [ "Klimcik", "C.", "" ] ]

We prove the integrability of the Yang-Baxter $\si$-model which is the Poisson-Lie deformation of the principal chiral model. We find also an explicit one-to-one map transforming every solution of the principal chiral model into a solution of the deformed model. With the help of this map, the standard procedure of the dressing of the principal chiral solutions can be directly transferred into the deformed Yang-Baxter context.

7.411229

5.989769

7.572859

6.400942

6.604896

6.608471

7.00561

6.499868

6.357381

8.447309

6.118848

6.648394

7.309863

6.787395

6.420853

6.806473

6.650552

6.461775

6.782853

7.205849

6.4607

1612.04355

Jakub Mielczarek Ph.D.

Jakub Mielczarek

Spin-Field Correspondence

12 pages, 1 figure. A mistake related to the large spin limit has been corrected. General conclusions remain unchanged

null

hep-th cond-mat.mes-hall gr-qc

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

In the recent article Phys.\ Lett.\ B {\bf 759} (2016) 424 a new class of field theories called Nonlinear Field Space Theory has been proposed. In this approach, the standard field theories are considered as linear approximations to some more general theories characterized by nonlinear field phase spaces. The case of spherical geometry is especially interesting due to its relation with the spin physics. Here, we explore this possibility showing that classical scalar field theory with such a field space can be viewed as a perturbation of a continuous spin system. In this picture, the spin precession and the scalar field excitations are dual descriptions of the same physics. The duality is studied on the example of the Heisenberg model. It is shown that the Heisenberg model coupled to a magnetic field leads to a non-relativistic scalar field theory, characterized by quadratic dispersion relation. Finally, on the basis of analysis of the relation between the spin phase space and the scalar field theory we propose the \emph{Spin-Field correspondence} between the known types of fields and the corresponding spin systems.

[ { "created": "Tue, 13 Dec 2016 20:45:25 GMT", "version": "v1" }, { "created": "Wed, 4 Jan 2017 10:42:21 GMT", "version": "v2" } ]

2017-01-05

[ [ "Mielczarek", "Jakub", "" ] ]

In the recent article Phys.\ Lett.\ B {\bf 759} (2016) 424 a new class of field theories called Nonlinear Field Space Theory has been proposed. In this approach, the standard field theories are considered as linear approximations to some more general theories characterized by nonlinear field phase spaces. The case of spherical geometry is especially interesting due to its relation with the spin physics. Here, we explore this possibility showing that classical scalar field theory with such a field space can be viewed as a perturbation of a continuous spin system. In this picture, the spin precession and the scalar field excitations are dual descriptions of the same physics. The duality is studied on the example of the Heisenberg model. It is shown that the Heisenberg model coupled to a magnetic field leads to a non-relativistic scalar field theory, characterized by quadratic dispersion relation. Finally, on the basis of analysis of the relation between the spin phase space and the scalar field theory we propose the \emph{Spin-Field correspondence} between the known types of fields and the corresponding spin systems.

8.87537

9.706066

8.301088

8.523683

8.413536

8.714433

8.978312

8.303165

8.458622

8.685189

8.48905

8.310126

8.367791

8.096999

8.125348

8.339376

8.278934

7.998726

8.208735

8.232759

8.120671

hep-th/0204021

Michael Volkov

Mikhail S. Volkov

The Semiclassical Instability of de Sitter Space

13 pages. Talk given at the workshop ``Quantum Gravity and Strings'', Dubna, June 2001

null

hep-th

null

The effect of the spontaneous nucleation of black holes in de Sitter space is reviewed, and the main steps of the calculation in Nucl.Phys. B 582, 313, 2000 of the one-loop amplitude of this process are summarized. The existence of such an effect suggests that de Sitter space is not a ground state of quantum gravity with a positive cosmological constant.

[ { "created": "Tue, 2 Apr 2002 18:27:49 GMT", "version": "v1" } ]

2007-05-23

[ [ "Volkov", "Mikhail S.", "" ] ]

The effect of the spontaneous nucleation of black holes in de Sitter space is reviewed, and the main steps of the calculation in Nucl.Phys. B 582, 313, 2000 of the one-loop amplitude of this process are summarized. The existence of such an effect suggests that de Sitter space is not a ground state of quantum gravity with a positive cosmological constant.

9.437858

8.130555

9.372415

7.313667

7.802246

8.926543

8.956378

7.685959

8.39299

7.804538

7.888495

7.887777

8.224387

8.289647

7.59678

8.235191

8.303009

7.873388

8.20771

8.500854

7.93024

2006.07557

Andreas Gustavsson

A nonabelian M5 brane Lagrangian in a supergravity background

30 pages

null

10.1007/JHEP10(2020)001

null

hep-th

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

We present a nonabelian Lagrangian that appears to have $(2,0)$ superconformal symmetry and that can be coupled to a supergravity background. But for our construction to work, we have to break this superconformal symmetry by imposing as a constraint on top of the Lagrangian that the fields have vanishing Lie derivatives along a Killing direction.

[ { "created": "Sat, 13 Jun 2020 04:18:33 GMT", "version": "v1" }, { "created": "Sat, 20 Jun 2020 12:32:39 GMT", "version": "v2" }, { "created": "Sun, 6 Sep 2020 09:18:14 GMT", "version": "v3" } ]

2020-10-28

[ [ "Gustavsson", "Andreas", "" ] ]

We present a nonabelian Lagrangian that appears to have $(2,0)$ superconformal symmetry and that can be coupled to a supergravity background. But for our construction to work, we have to break this superconformal symmetry by imposing as a constraint on top of the Lagrangian that the fields have vanishing Lie derivatives along a Killing direction.

10.850439

10.053664

10.740179

9.254004

9.731095

8.725042

9.310742

9.395208

8.721818

11.336471

8.891098

9.700666

10.151292

9.367058

9.445967

9.531887

9.550349

9.478024

9.218498

10.400105

9.348742

2407.05601

Changhyun Ahn

Changhyun Ahn and Man Hea Kim

A Supersymmetric Extension of $w_{1+\infty}$ Algebra in the Celestial Holography

58 pages

null

hep-th

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

We determine the ${\cal N}=1$ supersymmetric topological $W_{\infty} $ algebra by using the $\lambda $ deformed bosons $(\beta,\gamma)$ and fermions $(b,c)$ ghost system. By considering the real bosons and the real fermions at $\lambda=0$ (or $\lambda=\frac{1}{2}$), the ${\cal N}=1$ supersymmetric $W_{\frac{\infty}{2}}$ algebra is obtained. At $\lambda=\frac{1}{4}$, other ${\cal N}=1$ supersymmetric $W_{1+\infty}[\lambda=\frac{1}{4}]$ algebra is determined. We also obtain the extension of Lie superalgebra $PSU(2,2|{\cal N}=4)$ appearing in the worldsheet theory by using the symplectic bosons and the fermions. We identify the soft current algebra between the graviton, the gravitino, the photon (the gluon), the photino (the gluino) or the scalars, equivalent to ${\cal N}=1$ supersymmetric $W_{1+\infty}[\lambda]$ algebra, in two dimensions with the ${\cal N}=1$ supergravity theory in four dimensions discovered by Freedman, van Nieuwenhuizen and Ferrara in 1976 and its matter coupled theories, via celestial holography.

[ { "created": "Mon, 8 Jul 2024 04:31:37 GMT", "version": "v1" } ]

2024-07-09

[ [ "Ahn", "Changhyun", "" ], [ "Kim", "Man Hea", "" ] ]

We determine the ${\cal N}=1$ supersymmetric topological $W_{\infty} $ algebra by using the $\lambda $ deformed bosons $(\beta,\gamma)$ and fermions $(b,c)$ ghost system. By considering the real bosons and the real fermions at $\lambda=0$ (or $\lambda=\frac{1}{2}$), the ${\cal N}=1$ supersymmetric $W_{\frac{\infty}{2}}$ algebra is obtained. At $\lambda=\frac{1}{4}$, other ${\cal N}=1$ supersymmetric $W_{1+\infty}[\lambda=\frac{1}{4}]$ algebra is determined. We also obtain the extension of Lie superalgebra $PSU(2,2|{\cal N}=4)$ appearing in the worldsheet theory by using the symplectic bosons and the fermions. We identify the soft current algebra between the graviton, the gravitino, the photon (the gluon), the photino (the gluino) or the scalars, equivalent to ${\cal N}=1$ supersymmetric $W_{1+\infty}[\lambda]$ algebra, in two dimensions with the ${\cal N}=1$ supergravity theory in four dimensions discovered by Freedman, van Nieuwenhuizen and Ferrara in 1976 and its matter coupled theories, via celestial holography.

5.716517

5.801904

6.573384

5.777871

5.811112

5.787847

6.174956

5.729133

5.859297

6.700191

5.839995

5.773388

5.880981

5.689849

5.614686

5.640366

5.555336

5.628332

5.519931

5.921198

5.597768

1405.4388

Debaprasad Maity

Kinetic gravity braiding and natural inflation in the light of BICEP2 and PLANCK

This paper has been extensively written. The interested reader should read arXiv:1407.7692

null

hep-th gr-qc

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

Based on our previous work, we constructed a phenomenological model of inflation with the higher derivative axion field in the light of recent cosmological expertiments BICEP2 and PLANCK. In order to achieve observed values for the important cosmological parameters $(n_s,r)$ we employ higher derivative kinetic term called kinetic gravity braiding (KGB) for the axion in compatible with the constant shift symmetry. Phenomenologically we choose a particular form of the braiding function $M(\phi)$ which correctly reproduces the observed value of $(n_s, r)$ based on the recent cosmological observations. Furthermore we also find axion decay constant $f$ and the scale of inflation $\Lambda$ to be naturally sub-Planckian consistent with the reheating after the end of inflation. Within the sufficient number of e-folding ${\cal N}$, we also find sub-Planckian field excursion for the axion field $\Delta \phi \simeq f$.

[ { "created": "Sat, 17 May 2014 12:10:12 GMT", "version": "v1" }, { "created": "Thu, 12 Jun 2014 07:32:10 GMT", "version": "v2" }, { "created": "Sun, 18 Jan 2015 06:30:11 GMT", "version": "v3" } ]

2015-01-21

[ [ "Maity", "Debaprasad", "" ] ]

Based on our previous work, we constructed a phenomenological model of inflation with the higher derivative axion field in the light of recent cosmological expertiments BICEP2 and PLANCK. In order to achieve observed values for the important cosmological parameters $(n_s,r)$ we employ higher derivative kinetic term called kinetic gravity braiding (KGB) for the axion in compatible with the constant shift symmetry. Phenomenologically we choose a particular form of the braiding function $M(\phi)$ which correctly reproduces the observed value of $(n_s, r)$ based on the recent cosmological observations. Furthermore we also find axion decay constant $f$ and the scale of inflation $\Lambda$ to be naturally sub-Planckian consistent with the reheating after the end of inflation. Within the sufficient number of e-folding ${\cal N}$, we also find sub-Planckian field excursion for the axion field $\Delta \phi \simeq f$.

9.821939

8.300356

9.601647

8.560163

9.480274

8.493179

8.257146

8.357647

8.604047

10.080014

8.51583

8.985741

9.532703

9.367406

9.320946

9.241651

9.22058

9.047683

9.244604

9.532515

9.114457

1105.2878

Bin Chen

Bin Chen, Bo Ning and Jia-ju Zhang

Boundary Conditions for NHEK through Effective Action Approach

16 pages

null

10.1088/0256-307X/29/4/041101

null

hep-th

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

We study the asymptotic symmetry group(ASG) of the near horizon geometry of extreme Kerr black hole through the effective action approach developed in 1007.1031. By requiring a finite boundary effective action, we derive a new set of asymptotic Killing vectors and boundary conditions, which are much more relaxed than the ones proposed in 0907.0303, and still allow a copy of conformal group as its ASG. In the covariant formalism, the asymptotic charges are finite, with the corresponding central charge vanishing. By using the quasi-local charge and introducing a plausible cut-off, we find that the higher order terms of the asymptotic Killing vectors, which could not be determined through the effective action approach, contribute to the central charge as well. We also show that the boundary conditions suggested in 0809.4266 lead to a divergent first order boundary effective action.

[ { "created": "Sat, 14 May 2011 09:50:13 GMT", "version": "v1" } ]

2015-05-28

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

We study the asymptotic symmetry group(ASG) of the near horizon geometry of extreme Kerr black hole through the effective action approach developed in 1007.1031. By requiring a finite boundary effective action, we derive a new set of asymptotic Killing vectors and boundary conditions, which are much more relaxed than the ones proposed in 0907.0303, and still allow a copy of conformal group as its ASG. In the covariant formalism, the asymptotic charges are finite, with the corresponding central charge vanishing. By using the quasi-local charge and introducing a plausible cut-off, we find that the higher order terms of the asymptotic Killing vectors, which could not be determined through the effective action approach, contribute to the central charge as well. We also show that the boundary conditions suggested in 0809.4266 lead to a divergent first order boundary effective action.

9.475242

8.798554

10.126976

8.618357

8.911711

9.291797

9.078428

8.650628

8.778715

10.772341

8.562474

8.181861

9.259547

8.407453

8.154758

8.498071

8.63176

8.405458

8.563485

8.96928

8.091928

hep-th/9506169

Georg Maximilian Gandenberger

G.M. Gandenberger and N.J. MacKay

Exact S-matrices for d_{n+1}^{(2)} affine Toda solitons and their bound states

Some minor changes and misprints corrected. Version to appear in Nuclear Physics B, 40 pages, LATEX

Nucl.Phys. B457 (1995) 240-272

10.1016/0550-3213(95)00462-9

DAMTP-95-33

hep-th

null

We conjecture an exact S-matrix for the scattering of solitons in $d_{n+1}^{(2)}$ affine Toda field theory in terms of the R-matrix of the quantum group $U_q(c_n^{(1)})$. From this we construct the scattering amplitudes for all scalar bound states (breathers) of the theory. This S-matrix conjecture is justified by detailed examination of its pole structure. We show that a breather-particle identification holds by comparing the S-matrix elements for the lowest breathers with the S-matrix for the quantum particles in real affine Toda field theory, and discuss the implications for various forms of duality.

[ { "created": "Mon, 26 Jun 1995 18:01:26 GMT", "version": "v1" }, { "created": "Fri, 6 Oct 1995 10:46:38 GMT", "version": "v2" } ]

2009-10-28

[ [ "Gandenberger", "G. M.", "" ], [ "MacKay", "N. J.", "" ] ]

We conjecture an exact S-matrix for the scattering of solitons in $d_{n+1}^{(2)}$ affine Toda field theory in terms of the R-matrix of the quantum group $U_q(c_n^{(1)})$. From this we construct the scattering amplitudes for all scalar bound states (breathers) of the theory. This S-matrix conjecture is justified by detailed examination of its pole structure. We show that a breather-particle identification holds by comparing the S-matrix elements for the lowest breathers with the S-matrix for the quantum particles in real affine Toda field theory, and discuss the implications for various forms of duality.

7.816626

6.893963

8.065268

7.054049

7.085238

7.197741

6.964421

7.266479

7.282221

9.179735

6.977661

7.343562

8.084332

7.499883

7.292588

7.361834

7.340609

7.692733

7.548002

7.958936

7.235822

2202.06970

Stefano Lanza

Stefano Cremonesi, Stefano Lanza, Luca Martucci

Semiclassics of three-dimensional SCFTs from holography

77 pages + appendices, 7 figures

null

10.1007/JHEP10(2022)111

null

hep-th

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

We use holography to compute the large-$N$ effective field theory along the moduli space of vacua of an infinite class of three-dimensional $\mathcal{N}=2$ SCFTs admitting a dual M-theory description. We focus in particular on toric models and show how the spectrum of large $R$-charge SCFT chiral scalar operators corresponds to a set of explicit semiclassical solutions of our effective field theory, which describe bound states of backreacting giant gravitons and baryonic-like M5-branes. Our semiclassical description allows for a direct computation of the scaling dimensions of these operators and provides a starting point for a semiclassical investigation of the SCFT data in the large $R$-charge sector. We consider the models corresponding to the $Y^{12}(\mathbb{P}^2)$ and $Q^{111}$ Sasaki-Einstein spaces as explicit examples.

[ { "created": "Mon, 14 Feb 2022 19:00:02 GMT", "version": "v1" } ]

2022-11-09

[ [ "Cremonesi", "Stefano", "" ], [ "Lanza", "Stefano", "" ], [ "Martucci", "Luca", "" ] ]

We use holography to compute the large-$N$ effective field theory along the moduli space of vacua of an infinite class of three-dimensional $\mathcal{N}=2$ SCFTs admitting a dual M-theory description. We focus in particular on toric models and show how the spectrum of large $R$-charge SCFT chiral scalar operators corresponds to a set of explicit semiclassical solutions of our effective field theory, which describe bound states of backreacting giant gravitons and baryonic-like M5-branes. Our semiclassical description allows for a direct computation of the scaling dimensions of these operators and provides a starting point for a semiclassical investigation of the SCFT data in the large $R$-charge sector. We consider the models corresponding to the $Y^{12}(\mathbb{P}^2)$ and $Q^{111}$ Sasaki-Einstein spaces as explicit examples.

8.769867

8.465186

10.304843

8.141541

8.447164

8.388365

8.173676

8.092898

8.107164

10.573025

8.202709

8.773077

9.210139

8.3262

8.672212

8.664509

8.764656

8.726329

8.497011

9.260266

8.391079

1810.04993

Alexander Manashov

V.M. Braun, A.N. Manashov, S. Moch, M. Strohmaier

Conformal symmetry of QCD in $d$-dimensions

12 pages

null

10.1016/j.physletb.2019.04.027

DESY 18-175

hep-th

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

QCD in $d=4-2\epsilon$ space-time dimensions possesses a nontrivial critical point. Scale invariance usually implies conformal symmetry so that there are good reasons to expect that QCD at the critical point restricted to the gauge invariant subsector provides one with an example of a conformal field theory. The aim of this letter is to present a technical proof of this statement which is important both as a matter of principle and for applications.

[ { "created": "Thu, 11 Oct 2018 13:04:09 GMT", "version": "v1" } ]

2019-05-22

[ [ "Braun", "V. M.", "" ], [ "Manashov", "A. N.", "" ], [ "Moch", "S.", "" ], [ "Strohmaier", "M.", "" ] ]

QCD in $d=4-2\epsilon$ space-time dimensions possesses a nontrivial critical point. Scale invariance usually implies conformal symmetry so that there are good reasons to expect that QCD at the critical point restricted to the gauge invariant subsector provides one with an example of a conformal field theory. The aim of this letter is to present a technical proof of this statement which is important both as a matter of principle and for applications.

10.398204

10.398486

9.370875

8.941952

9.746548

9.90418

9.519757

9.235426

8.976841

10.199446

9.468719

8.543117

8.505361

8.570294

8.76243

8.594612

8.954892

8.60502

8.670208

8.491481

8.814535

1603.02661

Benjamin Mosk

Renata Kallosh, Anna Karlsson, Benjamin Mosk and Divyanshu Murli

Orthogonal Nilpotent Superfields from Linear Models

18 pages, minor textual changes, small corrections, no conceptual changes. Added appendix C and extended appendix B

JHEP05 (2016) 082

10.1007/JHEP05(2016)082

null

hep-th

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

We derive supersymmetry/supergravity models with constrained orthogonal nilpotent superfields from the linear models in the formal limit where the masses of the sgoldstino, inflatino and sinflaton tend to infinity. The case where the sinflaton mass remains finite leads to a model with a `relaxed' constraint, where the sinflaton remains an independent field. Our procedure is equivalent to a requirement that some of the components of the curvature of the moduli space tend to infinity.

[ { "created": "Tue, 8 Mar 2016 20:20:31 GMT", "version": "v1" }, { "created": "Wed, 30 Mar 2016 19:12:39 GMT", "version": "v2" } ]

2016-05-18

[ [ "Kallosh", "Renata", "" ], [ "Karlsson", "Anna", "" ], [ "Mosk", "Benjamin", "" ], [ "Murli", "Divyanshu", "" ] ]

We derive supersymmetry/supergravity models with constrained orthogonal nilpotent superfields from the linear models in the formal limit where the masses of the sgoldstino, inflatino and sinflaton tend to infinity. The case where the sinflaton mass remains finite leads to a model with a `relaxed' constraint, where the sinflaton remains an independent field. Our procedure is equivalent to a requirement that some of the components of the curvature of the moduli space tend to infinity.

14.070004

13.741788

14.886531

12.491596

13.013845

13.619469

13.698413

12.794294

11.849716

12.958492

13.41955

13.56502

13.030051

13.396792

12.667766

13.523495

13.758915

13.24253

12.697217

13.166903

13.94736

hep-th/0603120

Martin Cederwall

Ling Bao, Martin Cederwall, Bengt E.W. Nilsson

A Note on Topological M5-branes and String-Fivebrane Duality

11 pp, plain tex

JHEP0806:100,2008

10.1088/1126-6708/2008/06/100

null

hep-th

null

We derive the stability conditions for the M5-brane in topological M-theory using kappa-symmetry. The non-linearly self-dual 3-form on the world-volume is necessarily non-vanishing, as is the case also for the 2-form field strengths on coisotropic branes in topological string theory. It is demonstrated that the self-duality is consistent with the stability conditions, which are solved locally in terms of a tensor in the representation 6 of SU(3) in G_2. The double dimensional reduction of the M5-brane is the D4-brane, and its direct reduction is an NS5-brane. We show that the equation of motion for the 3-form on the NS5-brane wrapping a Calabi-Yau space is exactly the Kodaira-Spencer equation, providing support for a string-fivebrane duality in topological string theory.

[ { "created": "Wed, 15 Mar 2006 09:58:34 GMT", "version": "v1" }, { "created": "Wed, 14 Nov 2007 12:49:12 GMT", "version": "v2" } ]

2008-11-26

[ [ "Bao", "Ling", "" ], [ "Cederwall", "Martin", "" ], [ "Nilsson", "Bengt E. W.", "" ] ]

We derive the stability conditions for the M5-brane in topological M-theory using kappa-symmetry. The non-linearly self-dual 3-form on the world-volume is necessarily non-vanishing, as is the case also for the 2-form field strengths on coisotropic branes in topological string theory. It is demonstrated that the self-duality is consistent with the stability conditions, which are solved locally in terms of a tensor in the representation 6 of SU(3) in G_2. The double dimensional reduction of the M5-brane is the D4-brane, and its direct reduction is an NS5-brane. We show that the equation of motion for the 3-form on the NS5-brane wrapping a Calabi-Yau space is exactly the Kodaira-Spencer equation, providing support for a string-fivebrane duality in topological string theory.

7.383057

7.208029

8.136966

6.852535

7.193379

7.287837

7.807587

7.551133

6.825612

8.168759

7.232534

6.859195

7.464926

6.879385

6.847159

6.941752

6.735526

6.893872

6.795353

7.246212

6.998742

1510.01683

Vasco Gon\c{c}alves

Benjamin Basso, Vasco Goncalves, Shota Komatsu, Pedro Vieira

Gluing Hexagons at Three Loops

24 pages, 7 figures

null

hep-th

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

We perform extensive three-loop tests of the hexagon bootstrap approach for structure constants in planar $\mathcal{N}=4$ SYM theory. We focus on correlators involving two BPS operators and one non-BPS operator in the so-called $SL(2)$ sector. At three loops, such correlators receive wrapping corrections from mirror excitations flowing in either the adjacent or the opposing channel. Amusingly, we find that the first type of correction coincides exactly with the leading wrapping correction for the spectrum (divided by the one-loop anomalous dimension). We develop an efficient method for computing the second type of correction for operators with any spin. The results are in perfect agreement with the recently obtained three-loop perturbative data by Chicherin, Drummond, Heslop, Sokatchev [2] and by Eden [3]. We also derive the integrand for general multi-particle wrapping corrections, which turns out to take a remarkably simple form. As an application we estimate the loop order at which various new physical effects are expected to kick-in.

[ { "created": "Tue, 6 Oct 2015 18:10:59 GMT", "version": "v1" } ]

2015-10-07

[ [ "Basso", "Benjamin", "" ], [ "Goncalves", "Vasco", "" ], [ "Komatsu", "Shota", "" ], [ "Vieira", "Pedro", "" ] ]

We perform extensive three-loop tests of the hexagon bootstrap approach for structure constants in planar $\mathcal{N}=4$ SYM theory. We focus on correlators involving two BPS operators and one non-BPS operator in the so-called $SL(2)$ sector. At three loops, such correlators receive wrapping corrections from mirror excitations flowing in either the adjacent or the opposing channel. Amusingly, we find that the first type of correction coincides exactly with the leading wrapping correction for the spectrum (divided by the one-loop anomalous dimension). We develop an efficient method for computing the second type of correction for operators with any spin. The results are in perfect agreement with the recently obtained three-loop perturbative data by Chicherin, Drummond, Heslop, Sokatchev [2] and by Eden [3]. We also derive the integrand for general multi-particle wrapping corrections, which turns out to take a remarkably simple form. As an application we estimate the loop order at which various new physical effects are expected to kick-in.

8.737281

9.072562

10.389907

9.012771

9.121178

9.63699

9.59719

8.972547

9.341272

11.536739

8.632834

8.618482

9.18999

8.438555

8.76509

8.756232

8.479731

8.225258

8.723434

9.141163

7.981939

1512.02225

Stefano Cremonesi

Stefano Cremonesi, Alessandro Tomasiello

6d holographic anomaly match as a continuum limit

33 pages, 7 figures; v2: references added, minor changes; v3: typos fixed, details added in section 2.2.3

null

10.1007/JHEP05(2016)031

null

hep-th

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

An infinite class of analytic AdS_7 x S^3 solutions has recently been found. The S^3 is distorted into a "crescent roll" shape by the presence of D8-branes. These solutions are conjectured to be dual to a class of "linear quivers", with a large number of gauge groups coupled to (bi-)fundamental matter and tensor fields. In this paper we perform a precise quantitative check of this correspondence, showing that the a Weyl anomalies computed in field theory and gravity agree. In the holographic limit, where the number of gauge groups is large, the field theory result is a quadratic form in the gauge group ranks involving the inverse of the A_N Cartan matrix C. The agreement can be understood as a continuum limit, using the fact that C is a lattice analogue of a second derivative. The discrete data of the field theory, summarized by two partitions, become in this limit the continuous functions in the geometry. Conversely, the geometry of the internal space gets discretized at the quantum level to the discrete data of the two partitions.

[ { "created": "Mon, 7 Dec 2015 21:00:04 GMT", "version": "v1" }, { "created": "Wed, 10 Feb 2016 23:15:15 GMT", "version": "v2" }, { "created": "Wed, 28 Sep 2016 10:57:37 GMT", "version": "v3" } ]

2016-09-29

[ [ "Cremonesi", "Stefano", "" ], [ "Tomasiello", "Alessandro", "" ] ]

An infinite class of analytic AdS_7 x S^3 solutions has recently been found. The S^3 is distorted into a "crescent roll" shape by the presence of D8-branes. These solutions are conjectured to be dual to a class of "linear quivers", with a large number of gauge groups coupled to (bi-)fundamental matter and tensor fields. In this paper we perform a precise quantitative check of this correspondence, showing that the a Weyl anomalies computed in field theory and gravity agree. In the holographic limit, where the number of gauge groups is large, the field theory result is a quadratic form in the gauge group ranks involving the inverse of the A_N Cartan matrix C. The agreement can be understood as a continuum limit, using the fact that C is a lattice analogue of a second derivative. The discrete data of the field theory, summarized by two partitions, become in this limit the continuous functions in the geometry. Conversely, the geometry of the internal space gets discretized at the quantum level to the discrete data of the two partitions.

10.855951

10.176212

12.185969

9.704324

11.185211

10.470303

10.484776

10.159689

10.055026

13.59164

9.891047

9.903172

11.061004

9.966337

9.770642

9.68283

9.849634

10.261186

9.634963

11.249231

9.806192

1007.4687

Jose M. Isidro

J.M. Isidro, P. Fernandez de Cordoba, J.M. Rivera-Rebolledo and J.L.G. Santander

Remarks on the representation theory of the Moyal plane

10 pages, minor changes, refs. added

Adv.Math.Phys.2011:635790,2011

10.1155/2011/635790

null

hep-th

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

We present an explicit construction of a unitary representation of the commutator algebra satisfied by position and momentum operators on the Moyal plane.

[ { "created": "Tue, 27 Jul 2010 12:00:09 GMT", "version": "v1" }, { "created": "Mon, 2 Aug 2010 10:18:00 GMT", "version": "v2" }, { "created": "Sat, 2 Apr 2011 10:23:48 GMT", "version": "v3" } ]

2011-06-16

[ [ "Isidro", "J. M.", "" ], [ "de Cordoba", "P. Fernandez", "" ], [ "Rivera-Rebolledo", "J. M.", "" ], [ "Santander", "J. L. G.", "" ] ]

We present an explicit construction of a unitary representation of the commutator algebra satisfied by position and momentum operators on the Moyal plane.

13.543552

8.282632

9.714424

7.828207

8.50714

7.23658

7.242109

7.782811

7.754733

14.954716

7.291579

9.574963

9.627726

9.799665

9.948812

9.436414

8.994129

9.876873

9.300567

11.213312

9.385124