LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1802.04581

Richard Szabo

Zoltan Kokenyesi, Annamaria Sinkovics, Richard J. Szabo

AKSZ constructions for topological membranes on $G_2$-manifolds

36 pages; Final version to be published in Fortschritte der Physik

null

10.1002/prop.201800018

EMPG-18-03

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

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

We consider AKSZ constructions of BV actions for closed topological membranes, and their dimensional reductions to topological string sigma-models. Two inequivalent AKSZ constructions for topological membranes on $G_2$-manifolds are proposed, in each of which the two existing topological membrane theories appear as different gauge fixed versions. Their dimensional reductions give new AKSZ constructions for the topological A-model, which on further dimensional reduction gives an AKSZ formulation of supersymmetric quantum mechanics. We show that the two AKSZ membrane models originate through worldvolume dimensional reduction of a single AKSZ threebrane theory, which gives the standard 2-Courant bracket as the underlying derived bracket. Double dimensional reduction of the twisted topological threebrane theory on a circle yields the standard Courant sigma-model for string theory with NS-NS flux.

[ { "created": "Tue, 13 Feb 2018 12:15:36 GMT", "version": "v1" }, { "created": "Wed, 7 Mar 2018 14:35:24 GMT", "version": "v2" } ]

2018-05-09

[ [ "Kokenyesi", "Zoltan", "" ], [ "Sinkovics", "Annamaria", "" ], [ "Szabo", "Richard J.", "" ] ]

We consider AKSZ constructions of BV actions for closed topological membranes, and their dimensional reductions to topological string sigma-models. Two inequivalent AKSZ constructions for topological membranes on $G_2$-manifolds are proposed, in each of which the two existing topological membrane theories appear as different gauge fixed versions. Their dimensional reductions give new AKSZ constructions for the topological A-model, which on further dimensional reduction gives an AKSZ formulation of supersymmetric quantum mechanics. We show that the two AKSZ membrane models originate through worldvolume dimensional reduction of a single AKSZ threebrane theory, which gives the standard 2-Courant bracket as the underlying derived bracket. Double dimensional reduction of the twisted topological threebrane theory on a circle yields the standard Courant sigma-model for string theory with NS-NS flux.

11.236965

12.118028

12.889619

10.922067

13.237278

11.259959

11.831617

12.063264

11.165457

13.921791

10.605006

10.316658

11.445642

10.564221

10.742233

10.475449

10.286494

10.539501

10.333766

11.706895

10.063902

0809.0805

Hideo Suganuma

Hideo Suganuma (Kyoto U.), Kanabu Nawa (RCNP, Osaka U.) and Toru Kojo (RIKEN-BNL)

Baryons and Baryonic Matter in Holographic QCD from Superstring

null

Nucl.Phys.Proc.Suppl.186:248-251,2009

10.1016/j.nuclphysbps.2008.12.055

null

hep-th

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

We study baryons and baryonic matter in holographic QCD using a D4/D8/$\bar{\rm D8}$ multi-D-brane system in the superstring theory. We obtain the chiral soliton solution for baryons in the four-dimensional meson theory derived from the multi-D-brane system. For the analysis of finite baryon-density matter, we investigate the chiral soliton on $S^3$ in holographic QCD, and find the delocalization of the soliton, i.e., the swelling of baryons in dense matter.

[ { "created": "Thu, 4 Sep 2008 13:04:23 GMT", "version": "v1" } ]

2009-03-20

[ [ "Suganuma", "Hideo", "", "Kyoto U." ], [ "Nawa", "Kanabu", "", "RCNP, Osaka U." ], [ "Kojo", "Toru", "", "RIKEN-BNL" ] ]

We study baryons and baryonic matter in holographic QCD using a D4/D8/$\bar{\rm D8}$ multi-D-brane system in the superstring theory. We obtain the chiral soliton solution for baryons in the four-dimensional meson theory derived from the multi-D-brane system. For the analysis of finite baryon-density matter, we investigate the chiral soliton on $S^3$ in holographic QCD, and find the delocalization of the soliton, i.e., the swelling of baryons in dense matter.

6.106382

4.968171

5.659281

4.952411

4.955202

4.764224

4.642474

4.669525

4.6947

6.340299

4.850562

5.057663

6.024463

5.262256

5.262352

5.235354

5.203938

5.131508

5.187354

5.809458

5.270723

hep-th/0405220

Haba Zbigniew

Z. Haba (University of Wroclaw)

Dimensional reduction of quantum fields on a brane

Latex, 7 pages

Mod.Phys.Lett. A19 (2004) 2411-2418

10.1142/S0217732304015695

null

hep-th

null

If we restrict a quantum field defined on a regular D dimensional curved manifold to a d dimensional submanifold then the resulting field will still have the singularity of the original D dimensional model. We show that a singular background metric can force the restricted field to behave as a d dimensional quantum field.

[ { "created": "Tue, 25 May 2004 11:37:17 GMT", "version": "v1" } ]

2009-11-10

[ [ "Haba", "Z.", "", "University of Wroclaw" ] ]

If we restrict a quantum field defined on a regular D dimensional curved manifold to a d dimensional submanifold then the resulting field will still have the singularity of the original D dimensional model. We show that a singular background metric can force the restricted field to behave as a d dimensional quantum field.

17.656422

17.492886

18.204937

17.469503

15.65072

17.33243

15.680678

17.261158

16.943747

18.710932

13.206463

14.853061

16.523638

15.337798

15.335867

16.88834

15.756432

15.48906

15.402943

16.320164

14.982666

2106.10804

Greg Kaplanek

C.P. Burgess, R. Holman, G. Kaplanek

Quantum Hotspots: Mean Fields, Open EFTs, Nonlocality and Decoherence Near Black Holes

31 pages + appendices, 1 figure

Fortschr. Phys. 2022, 2200019

10.1002/prop.202200019

null

hep-th

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

Effective theories describing black hole exteriors resemble open quantum systems inasmuch as many unmeasurable degrees of freedom beyond the horizon interact with those we can see. A solvable Caldeira-Leggett type model of a quantum field that mixes with many unmeasured thermal degrees of freedom on a shared surface was proposed in arXiv:2106.09854 to provide a benchmark against which more complete black hole calculations might be compared. We here use this model to test two types of field-theoretic approximation schemes that also lend themselves to describing black hole behaviour: Open EFT techniques (as applied to the fields themselves, rather than Unruh-DeWitt detectors) and mean-field methods. Mean-field methods are of interest because the effective Hamiltonians to which they lead can be nonlocal; a possible source for the nonlocality that is sometimes entertained as being possible for black holes in the near-horizon regime. Open EFTs compute the evolution of the field state, allowing discussion of thermalization and decoherence even when these occur at such late times that perturbative methods fail (as they often do). Applying both of these methods to a solvable system identifies their domains of validity and shows how their predictions relate to more garden-variety perturbative tools.

[ { "created": "Mon, 21 Jun 2021 01:48:30 GMT", "version": "v1" } ]

2022-03-02

[ [ "Burgess", "C. P.", "" ], [ "Holman", "R.", "" ], [ "Kaplanek", "G.", "" ] ]

Effective theories describing black hole exteriors resemble open quantum systems inasmuch as many unmeasurable degrees of freedom beyond the horizon interact with those we can see. A solvable Caldeira-Leggett type model of a quantum field that mixes with many unmeasured thermal degrees of freedom on a shared surface was proposed in arXiv:2106.09854 to provide a benchmark against which more complete black hole calculations might be compared. We here use this model to test two types of field-theoretic approximation schemes that also lend themselves to describing black hole behaviour: Open EFT techniques (as applied to the fields themselves, rather than Unruh-DeWitt detectors) and mean-field methods. Mean-field methods are of interest because the effective Hamiltonians to which they lead can be nonlocal; a possible source for the nonlocality that is sometimes entertained as being possible for black holes in the near-horizon regime. Open EFTs compute the evolution of the field state, allowing discussion of thermalization and decoherence even when these occur at such late times that perturbative methods fail (as they often do). Applying both of these methods to a solvable system identifies their domains of validity and shows how their predictions relate to more garden-variety perturbative tools.

14.532084

15.119738

15.81732

14.771778

17.500528

14.884888

17.422457

15.624945

14.893744

15.839317

14.854046

14.564128

14.364472

14.280096

14.165298

14.040879

14.526031

14.486585

14.185533

14.477534

14.360203

hep-th/9609182

null

Francois Delduc, Francois Gieres and Stephane Gourmelen

d=2, N=2 Superconformal Symmetries and Models

43 pages, latex

Class.Quant.Grav. 14 (1997) 1623-1649

10.1088/0264-9381/14/7/005

LYCEN/9620, ENSLAPP-L-616/96

hep-th

null

We discuss the following aspects of two-dimensional N=2 supersymmetric theories defined on compact super Riemann surfaces: parametrization of (2,0) and (2,2) superconformal structures in terms of Beltrami coefficients and formulation of superconformal models on such surfaces (invariant actions, anomalies and compensating actions, Ward identities).

[ { "created": "Mon, 23 Sep 1996 19:28:20 GMT", "version": "v1" } ]

2009-10-30

[ [ "Delduc", "Francois", "" ], [ "Gieres", "Francois", "" ], [ "Gourmelen", "Stephane", "" ] ]

We discuss the following aspects of two-dimensional N=2 supersymmetric theories defined on compact super Riemann surfaces: parametrization of (2,0) and (2,2) superconformal structures in terms of Beltrami coefficients and formulation of superconformal models on such surfaces (invariant actions, anomalies and compensating actions, Ward identities).

10.281955

9.249686

12.710953

9.979342

9.648763

8.527392

10.021139

8.793985

8.723744

11.010014

9.311213

8.97881

10.175942

9.279149

9.251987

8.88954

8.867023

9.311943

9.127685

10.385056

9.091516

1912.04172

Lucrezia Ravera

Farhad Ali, Lucrezia Ravera

N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions

48 pages. Version accepted for publication in Journal of High Energy Physics

JHEP 2002 (2020) 128

10.1007/JHEP02(2020)128

null

hep-th

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

In this work we present the ultra-relativistic $\mathcal{N}$-extended AdS Chern-Simons supergravity theories in three spacetime dimensions invariant under $\mathcal{N}$-extended AdS Carroll superalgebras. We first consider the $(2,0)$ and $(1,1)$ cases; subsequently, we generalize our analysis to $\mathcal{N}=(\mathcal{N},0)$, with $\mathcal{N}$ even, and to $\mathcal{N}=(p,q)$, with $p,q>0$. The $\mathcal{N}$-extended AdS Carroll superalgebras are obtained through the Carrollian (i.e., ultra-relativistic) contraction applied to an $so(2)$ extension of $\mathfrak{osp}(2|2)\otimes \mathfrak{sp}(2)$, to $\mathfrak{osp}(2|1)\otimes \mathfrak{osp}(2,1)$, to an $\mathfrak{so}(\mathcal{N})$ extension of $\mathfrak{osp}(2|\mathcal{N})\otimes \mathfrak{sp}(2)$, and to the direct sum of an $\mathfrak{so}(p) \oplus \mathfrak{so}(q)$ algebra and $\mathfrak{osp}(2|p)\otimes \mathfrak{osp}(2,q)$, respectively. We also analyze the flat limit ($\ell \rightarrow \infty$, being $\ell$ the length parameter) of the aforementioned $\mathcal{N}$-extended Chern-Simons AdS Carroll supergravities, in which we recover the ultra-relativistic $\mathcal{N}$-extended (flat) Chern-Simons supergravity theories invariant under $\mathcal{N}$-extended super-Carroll algebras. The flat limit is applied at the level of the superalgebras, Chern-Simons actions, supersymmetry transformation laws, and field equations.

[ { "created": "Fri, 6 Dec 2019 16:39:34 GMT", "version": "v1" }, { "created": "Sun, 1 Mar 2020 20:24:02 GMT", "version": "v2" } ]

2020-03-03

[ [ "Ali", "Farhad", "" ], [ "Ravera", "Lucrezia", "" ] ]

In this work we present the ultra-relativistic $\mathcal{N}$-extended AdS Chern-Simons supergravity theories in three spacetime dimensions invariant under $\mathcal{N}$-extended AdS Carroll superalgebras. We first consider the $(2,0)$ and $(1,1)$ cases; subsequently, we generalize our analysis to $\mathcal{N}=(\mathcal{N},0)$, with $\mathcal{N}$ even, and to $\mathcal{N}=(p,q)$, with $p,q>0$. The $\mathcal{N}$-extended AdS Carroll superalgebras are obtained through the Carrollian (i.e., ultra-relativistic) contraction applied to an $so(2)$ extension of $\mathfrak{osp}(2|2)\otimes \mathfrak{sp}(2)$, to $\mathfrak{osp}(2|1)\otimes \mathfrak{osp}(2,1)$, to an $\mathfrak{so}(\mathcal{N})$ extension of $\mathfrak{osp}(2|\mathcal{N})\otimes \mathfrak{sp}(2)$, and to the direct sum of an $\mathfrak{so}(p) \oplus \mathfrak{so}(q)$ algebra and $\mathfrak{osp}(2|p)\otimes \mathfrak{osp}(2,q)$, respectively. We also analyze the flat limit ($\ell \rightarrow \infty$, being $\ell$ the length parameter) of the aforementioned $\mathcal{N}$-extended Chern-Simons AdS Carroll supergravities, in which we recover the ultra-relativistic $\mathcal{N}$-extended (flat) Chern-Simons supergravity theories invariant under $\mathcal{N}$-extended super-Carroll algebras. The flat limit is applied at the level of the superalgebras, Chern-Simons actions, supersymmetry transformation laws, and field equations.

3.040598

2.990066

3.239177

2.983166

2.992751

2.953309

2.986091

2.906775

2.893181

3.330316

2.97902

2.916591

3.081805

2.956461

2.859775

2.93467

2.956962

2.986163

2.916182

3.059218

2.951235

hep-th/9205034

Jean-Loup Gervais

Gravity-Matter Couplings from Liouville Theory

(40 pages, Latex file)

Nucl.Phys. B391 (1993) 287-332

10.1016/0550-3213(93)90150-N

LPTENS--91/22

hep-th

null

The three-point functions for minimal models coupled to gravity are derived in the operator approach to Liouville theory which is based on its $U_q(sl(2))$ quantum group structure. The result is shown to agree with matrix-model calculations on the sphere. The precise definition of the corresponding cosmological constant is given in the operator solution of the quantum Liouville theory. It is shown that the symmetry between quantum-group spins $J$ and $-J-1$ previously put forward by the author is the explanation of the continuation in the number of screening operators discovered by Goulian and Li. Contrary to the previous discussions of this problem, the present approach clearly separates the emission operators for each leg. This clarifies the structure of the dressing by gravity. It is shown, in particular that the end points are not treated on the same footing as the mid point. Since the outcome is completely symmetric this suggests the existence of a picture-changing mechanism in two dimensional gravity.

[ { "created": "Wed, 13 May 1992 15:51:29 GMT", "version": "v1" } ]

2009-10-22

[ [ "Gervais", "Jean-Loup", "" ] ]

The three-point functions for minimal models coupled to gravity are derived in the operator approach to Liouville theory which is based on its $U_q(sl(2))$ quantum group structure. The result is shown to agree with matrix-model calculations on the sphere. The precise definition of the corresponding cosmological constant is given in the operator solution of the quantum Liouville theory. It is shown that the symmetry between quantum-group spins $J$ and $-J-1$ previously put forward by the author is the explanation of the continuation in the number of screening operators discovered by Goulian and Li. Contrary to the previous discussions of this problem, the present approach clearly separates the emission operators for each leg. This clarifies the structure of the dressing by gravity. It is shown, in particular that the end points are not treated on the same footing as the mid point. Since the outcome is completely symmetric this suggests the existence of a picture-changing mechanism in two dimensional gravity.

13.311877

13.916389

15.583664

14.145747

16.095469

14.679209

14.45849

14.029469

14.246246

16.036217

13.110333

13.33134

14.031951

13.013588

13.348804

13.256841

13.701228

13.303945

13.274787

14.016109

12.671062

1511.05734

Sayantan Choudhury

Sayantan Choudhury, Sudhakar Panda

COSMOS-${\it e}'$-GTachyon from String Theory

206 pages, 26 figures, 1 table, Final version, Accepted for publication in European Physical Journal C

Eur.Phys.J. C74 (2016) no.76, 278

10.1140/epjc/s10052-016-4072-2

TIFR/TH/15-33

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

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

In this article, our prime objective is to study the inflationary paradigm from generalized tachyon (GTachyon) living on the world volume of a non-BPS string theory. The tachyon action is considered here is getting modified compared to the original action. One can quantify the amount of the modification via a power $q$ instead of $1/2$ in the effective action. Using this set up we study inflation from various types of tachyonic potentials, using which we constrain the index $q$ within, $1/2<q<2$, Regge slope $\alpha^{'}$, string coupling constant $g_{s}$ and mass scale of tachyon $M_s$, from the recent Planck 2015 and Planck+BICEP2/Keck Array joint data. We explicitly study the inflationary consequences from single field, assisted field and multi-field tachyon set up. Specifically for single field and assisted field case we derive the results in the quasi-de-Sitter background in which we will utilize the details of cosmological perturbations and quantum fluctuations. Also we derive the expressions for all inflationary observables using any arbitrary vacuum and Bunch-Davies vacuum. For single field and assisted field case we derive-the inflationary flow equations, new sets of consistency relations. Also we derive the field excursion formula for tachyon, which shows that assisted inflation is in more safer side compared to the single field case to validate effective field theory framework. Further we study the features of CMB Angular power spectrum from TT, TE and EE correlations from scalar fluctuations within the allowed range of $q$ for each potentials from single field set-up. We also put constraints from the temperature anisotropy and polarization spectra, which shows that our analysis is consistent with the Planck 2015 data. Finally, using $\delta N$ formalism we derive the expressions for inflationary observables in the context of multi-field tachyons.

[ { "created": "Wed, 18 Nov 2015 11:07:31 GMT", "version": "v1" }, { "created": "Thu, 19 Nov 2015 14:38:49 GMT", "version": "v2" }, { "created": "Fri, 20 Nov 2015 14:53:07 GMT", "version": "v3" }, { "created": "Tue, 12 Apr 2016 04:59:54 GMT", "version": "v4" } ]

2016-05-23

[ [ "Choudhury", "Sayantan", "" ], [ "Panda", "Sudhakar", "" ] ]

In this article, our prime objective is to study the inflationary paradigm from generalized tachyon (GTachyon) living on the world volume of a non-BPS string theory. The tachyon action is considered here is getting modified compared to the original action. One can quantify the amount of the modification via a power $q$ instead of $1/2$ in the effective action. Using this set up we study inflation from various types of tachyonic potentials, using which we constrain the index $q$ within, $1/2<q<2$, Regge slope $\alpha^{'}$, string coupling constant $g_{s}$ and mass scale of tachyon $M_s$, from the recent Planck 2015 and Planck+BICEP2/Keck Array joint data. We explicitly study the inflationary consequences from single field, assisted field and multi-field tachyon set up. Specifically for single field and assisted field case we derive the results in the quasi-de-Sitter background in which we will utilize the details of cosmological perturbations and quantum fluctuations. Also we derive the expressions for all inflationary observables using any arbitrary vacuum and Bunch-Davies vacuum. For single field and assisted field case we derive-the inflationary flow equations, new sets of consistency relations. Also we derive the field excursion formula for tachyon, which shows that assisted inflation is in more safer side compared to the single field case to validate effective field theory framework. Further we study the features of CMB Angular power spectrum from TT, TE and EE correlations from scalar fluctuations within the allowed range of $q$ for each potentials from single field set-up. We also put constraints from the temperature anisotropy and polarization spectra, which shows that our analysis is consistent with the Planck 2015 data. Finally, using $\delta N$ formalism we derive the expressions for inflationary observables in the context of multi-field tachyons.

10.777005

11.180773

11.44952

10.334363

11.537271

11.324587

11.793715

10.941521

10.488014

12.981456

10.538508

10.519591

10.6504

10.689588

10.416484

10.460227

10.341755

10.18786

10.595775

10.747356

10.120266

hep-th/0003033

Eduardo Eyras

Eduardo Eyras, Sudhakar Panda

The Spacetime Life of a Non-BPS D-particle

36 pages, LaTeX, no figures; amplitude for moving particles and analysis of short and long distance interactions included, some assumptions clarified, references added

Nucl.Phys. B584 (2000) 251-283

10.1016/S0550-3213(00)00376-X

DAMTP-2000-20, IC-2000-13, MRI-PHY/P20000201

hep-th

null

We investigate the classical geometry generated by a stable non-BPS D-particle. We consider the boundary state of a stable non-BPS D-particle in the covariant formalism in the type IIB theory orbifolded by (-1)^{F_L} I_4. We calculate the scattering amplitude between two D-particles in the non-compact and compact orbifold and analyse the short and long distance behaviour. At short distances we find no force at order $v^2$ for any radius, and at the critical radius we find a BPS-like behaviour up to $v^4$ corrections for long and short distances. Projecting the boundary state on the massless states of the orbifold closed string spectrum we obtain the large distance behaviour of the classical solution describing this non-BPS D-particle in the non-compact and compact cases. By using the non-BPS D-particle as a probe of the background geometry of another non-BPS D-particle, we recover the no-force condition at the critical radius and the $v^2$ behaviour of the probe. Moreover, assuming that the no-force persists for the complete geometry we derive part of the classical solution for the non-BPS D-particle.

[ { "created": "Sat, 4 Mar 2000 17:55:49 GMT", "version": "v1" }, { "created": "Mon, 27 Mar 2000 22:40:07 GMT", "version": "v2" } ]

2009-10-31

[ [ "Eyras", "Eduardo", "" ], [ "Panda", "Sudhakar", "" ] ]

We investigate the classical geometry generated by a stable non-BPS D-particle. We consider the boundary state of a stable non-BPS D-particle in the covariant formalism in the type IIB theory orbifolded by (-1)^{F_L} I_4. We calculate the scattering amplitude between two D-particles in the non-compact and compact orbifold and analyse the short and long distance behaviour. At short distances we find no force at order $v^2$ for any radius, and at the critical radius we find a BPS-like behaviour up to $v^4$ corrections for long and short distances. Projecting the boundary state on the massless states of the orbifold closed string spectrum we obtain the large distance behaviour of the classical solution describing this non-BPS D-particle in the non-compact and compact cases. By using the non-BPS D-particle as a probe of the background geometry of another non-BPS D-particle, we recover the no-force condition at the critical radius and the $v^2$ behaviour of the probe. Moreover, assuming that the no-force persists for the complete geometry we derive part of the classical solution for the non-BPS D-particle.

8.07675

7.985982

9.000906

7.535252

7.668787

7.444977

7.896764

7.063505

7.303206

9.698148

7.26882

7.447238

8.316949

7.514033

7.511881

7.421735

7.428068

7.498111

7.71915

8.183558

7.539208

1904.00716

Aritra Banerjee

Aritra Banerjee, Arpan Bhattacharyya, Soumangsu Chakraborty

Entanglement Entropy for $TT$ deformed CFT in general dimensions

Comments and clarifications added, references updated, version to appear in Nucl. Phys. B

Nucl.Phys. B (2019) 114775

10.1016/j.nuclphysb.2019.114775

YITP-19-22

hep-th

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

We consider deformation of a generic $d$ dimensional ($d\geq 2$) large-$N$ CFT on a sphere by a spin-0 operator which is bilinear in the components of the stress tensor. Such a deformation has been proposed to be holographically dual to an $AdS_{d+1}$ bulk with a hard radial cut-off. We compute the exact partition function and find the entanglement entropy from the field theory side in various dimensions and compare with the corresponding holographic results. We also compute renormalized entanglement entropy both in field theory and holography and find complete agreement between them.

[ { "created": "Mon, 1 Apr 2019 12:06:31 GMT", "version": "v1" }, { "created": "Fri, 20 Sep 2019 07:02:12 GMT", "version": "v2" } ]

2019-09-26

[ [ "Banerjee", "Aritra", "" ], [ "Bhattacharyya", "Arpan", "" ], [ "Chakraborty", "Soumangsu", "" ] ]

We consider deformation of a generic $d$ dimensional ($d\geq 2$) large-$N$ CFT on a sphere by a spin-0 operator which is bilinear in the components of the stress tensor. Such a deformation has been proposed to be holographically dual to an $AdS_{d+1}$ bulk with a hard radial cut-off. We compute the exact partition function and find the entanglement entropy from the field theory side in various dimensions and compare with the corresponding holographic results. We also compute renormalized entanglement entropy both in field theory and holography and find complete agreement between them.

7.13326

5.509364

7.40826

5.774957

6.019227

5.892164

5.656995

6.060558

5.848531

7.952218

5.805412

6.282327

6.823815

6.344589

6.512931

6.61636

6.406254

6.398718

6.193627

7.16957

6.444537

hep-th/9501020

Elias Kiritsis

Elias Kiritsis and Costas Kounnas

Infrared Regularization of Superstring Theory and the One-Loop Calculation of Coupling Constants

Version to appear in Nucl. Phys. B. (several parts have been expanded, and extra results have been added.)

Nucl.Phys. B442 (1995) 472-493

10.1016/0550-3213(95)00156-M

CERN-TH.7472/94, LPTENS-94/36

hep-th hep-ph

null

Infrared regularized versions of 4-D N=1 superstring ground states are constructed by curving the spacetime. A similar regularization can be performed in field theory. For the IR regularized string ground states we derive the exact one-loop effective action for non-zero U(1) or chromo-magnetic fields as well as gravitational and axionic-dilatonic fields. This effective action is IR and UV finite. Thus, the one-loop corrections to all couplings (gravitational, gauge and Yukawas) are unabiguously computed. These corrections are necessary for quantitative string superunification predictions at low energies. The one-loop corrections to the couplings are also found to satisfy Infrared Flow Equations.

[ { "created": "Fri, 6 Jan 1995 15:51:17 GMT", "version": "v1" }, { "created": "Wed, 11 Jan 1995 18:14:12 GMT", "version": "v2" }, { "created": "Wed, 18 Jan 1995 20:13:28 GMT", "version": "v3" }, { "created": "Tue, 4 Apr 1995 16:40:54 GMT", "version": "v4" }, { "created": "Thu, 20 Apr 1995 17:09:51 GMT", "version": "v5" } ]

2009-10-28

[ [ "Kiritsis", "Elias", "" ], [ "Kounnas", "Costas", "" ] ]

Infrared regularized versions of 4-D N=1 superstring ground states are constructed by curving the spacetime. A similar regularization can be performed in field theory. For the IR regularized string ground states we derive the exact one-loop effective action for non-zero U(1) or chromo-magnetic fields as well as gravitational and axionic-dilatonic fields. This effective action is IR and UV finite. Thus, the one-loop corrections to all couplings (gravitational, gauge and Yukawas) are unabiguously computed. These corrections are necessary for quantitative string superunification predictions at low energies. The one-loop corrections to the couplings are also found to satisfy Infrared Flow Equations.

14.838673

10.870315

14.129777

11.98946

12.435289

11.799027

12.13918

11.675224

12.010081

15.010046

11.829942

11.746984

13.320442

12.424152

12.046576

12.466661

12.920491

12.01167

12.415405

13.288555

13.009906

hep-th/0411091

Frank Meyer

Frank Meyer, Harold Steinacker

Noncommutative Gauge Theory on the q-Deformed Euclidean Plane

5 pages; Talk given by Frank Meyer at the 9th Adriatic Meeting, September 4th-14th, 2003, Dubrovnik

SpringerProc.Phys.98:293-297,2005

10.1007/3-540-26798-0_28

null

hep-th

null

In this talk we recall some concepts of Noncommutative Gauge Theories. In particular, we discuss the q-deformed two-dimensional Euclidean Plane which is covariant with respect to the q-deformed Euclidean group. A Seiberg-Witten map is constructed to express noncommutative fields in terms of their commutative counterparts.

[ { "created": "Mon, 8 Nov 2004 18:58:49 GMT", "version": "v1" } ]

2015-06-26

[ [ "Meyer", "Frank", "" ], [ "Steinacker", "Harold", "" ] ]

In this talk we recall some concepts of Noncommutative Gauge Theories. In particular, we discuss the q-deformed two-dimensional Euclidean Plane which is covariant with respect to the q-deformed Euclidean group. A Seiberg-Witten map is constructed to express noncommutative fields in terms of their commutative counterparts.

7.345556

6.506635

6.814484

6.083266

6.896936

6.225513

6.655873

6.16161

5.882204

6.991628

6.06611

5.95173

6.441131

6.20473

6.138127

5.858004

6.093187

5.953616

6.119728

6.584882

6.187012

1605.04554

Pavlo Gavrylenko

P. Gavrylenko, A. Marshakov

Free fermions, W-algebras and isomonodromic deformations

30 pages, Dedicated to 75-th birthday of Igor Tyutin

Theor. Math. Phys. 2016, 187:2, 649-677

10.1134/S0040577916050044

null

hep-th math-ph math.MP

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

We consider the theory of multicomponent free massless fermions in two dimensions and use it for construction of representations of W-algebras at integer Virasoro central charges. We define the vertex operators in this theory in terms of solutions of the corresponding isomonodromy problem. We use this construction to get some new insights on tau-functions of the multicomponent Toda type hierarchies for the class of solutions, given by the isomonodromy vertex operators and get useful representation for the tau-function of isomonodromic deformations.

[ { "created": "Sun, 15 May 2016 14:14:42 GMT", "version": "v1" } ]

2016-06-29

[ [ "Gavrylenko", "P.", "" ], [ "Marshakov", "A.", "" ] ]

We consider the theory of multicomponent free massless fermions in two dimensions and use it for construction of representations of W-algebras at integer Virasoro central charges. We define the vertex operators in this theory in terms of solutions of the corresponding isomonodromy problem. We use this construction to get some new insights on tau-functions of the multicomponent Toda type hierarchies for the class of solutions, given by the isomonodromy vertex operators and get useful representation for the tau-function of isomonodromic deformations.

11.583502

11.468612

13.367248

10.856513

11.070092

10.726087

11.421813

11.078257

11.274073

15.150897

10.458258

10.493164

11.537253

10.421802

10.558815

10.123393

10.852002

10.40593

10.40887

11.570168

10.384229

hep-th/0004186

Stefan Vandoren

A.V. Belitsky, S. Vandoren and P. van Nieuwenhuizen

Yang-Mills- and D-instantons

62 pages, typos corrected, table of contents and references added

Class.Quant.Grav. 17 (2000) 3521-3570

10.1088/0264-9381/17/17/305

null

hep-th hep-ph

null

In these lectures, which are written at an elementary and pedagogical level, we discuss general aspects of (single) instantons in SU(N_c) Yang-Mills theory, and then specialize to the case of N = 4 supersymmetry and the large N_c limit. We show how to determine the measure of collective coordinates and compute instanton corrections to certain correlation functions. We then relate this to D-instantons in type IIB supergravity. By taking the D-instantons to live in an $AdS_5\times S^5$ background, we perform explicit checks of the AdS/CFT correspondence.

[ { "created": "Wed, 26 Apr 2000 15:39:36 GMT", "version": "v1" }, { "created": "Wed, 24 May 2000 23:14:06 GMT", "version": "v2" } ]

2009-10-31

[ [ "Belitsky", "A. V.", "" ], [ "Vandoren", "S.", "" ], [ "van Nieuwenhuizen", "P.", "" ] ]

In these lectures, which are written at an elementary and pedagogical level, we discuss general aspects of (single) instantons in SU(N_c) Yang-Mills theory, and then specialize to the case of N = 4 supersymmetry and the large N_c limit. We show how to determine the measure of collective coordinates and compute instanton corrections to certain correlation functions. We then relate this to D-instantons in type IIB supergravity. By taking the D-instantons to live in an $AdS_5\times S^5$ background, we perform explicit checks of the AdS/CFT correspondence.

7.136501

6.496014

7.103867

6.200061

6.159896

7.169979

6.422732

6.697936

6.344734

7.892348

6.370116

6.368009

6.530797

6.299201

6.196664

6.555757

6.444518

6.185235

6.270485

6.701959

5.974381

hep-th/9710109

Sergey Korenblit

A. N. Vall, S. E. Korenblit, V. M. Leviant, A. V. Sinitskaya, A. B. Tanaev

Fine-Tuning Renormalization and Two-particle States in Nonrelativistic Four-fermion Model

13 pages, LaTex, no figures, to be published in IJMPA

Int.J.Mod.Phys.A12:5039-5052,1997; Phys.Atom.Nucl.60:1314-1321,1997; Yad.Fiz.60N8:1451-1458,1997

10.1142/S0217751X97002681

ISU-IAP-Th-97-01

hep-th

null

Various exact solutions of two-particle eigenvalue problems for nonrelativistic contact four-fermion current-current interaction are obtained. Specifics of Goldstone mode is investigated. The connection between a renormalization procedure and construction of self-adjoint extensions is revealed.

[ { "created": "Tue, 14 Oct 1997 05:01:17 GMT", "version": "v1" } ]

2014-11-18

[ [ "Vall", "A. N.", "" ], [ "Korenblit", "S. E.", "" ], [ "Leviant", "V. M.", "" ], [ "Sinitskaya", "A. V.", "" ], [ "Tanaev", "A. B.", "" ] ]

Various exact solutions of two-particle eigenvalue problems for nonrelativistic contact four-fermion current-current interaction are obtained. Specifics of Goldstone mode is investigated. The connection between a renormalization procedure and construction of self-adjoint extensions is revealed.

20.418592

14.737392

17.269745

14.358556

16.481617

15.560682

13.750795

16.288307

16.169119

20.210779

15.274202

15.548103

17.203516

16.095209

16.19368

15.154437

15.975837

16.040319

15.56986

18.464918

16.392372

hep-th/0411036

Takeshi Oota

Comments on Equations of Motion for Pure Spinors in Even Dimensions

15 pages; A reference added. The content of chapter 3 replaced. The title and the rest of the paper are modified accordingly

null

hep-th

null

A Berkovits type action for pure spinors in even dimensions is considered. The equations of motion for pure spinors are investigated by using explicit parameterizations which solve the pure spinor constraints. For general interactions, the equations of motions are shown to be modified from the naive ones. The extra terms contain a particular projector. If the interactions are restricted to the ``ghost number'' u(1) and the Lorentz so(p,q) current couplings, the action has a large ``gauge symmetry''. In this case, in some ``gauges'', the extra terms vanish and the equations of motion for the pure spinors retain the naive form even if the pure spinor constraints are taken into account.

[ { "created": "Tue, 2 Nov 2004 16:46:59 GMT", "version": "v1" }, { "created": "Sat, 20 Nov 2004 07:23:08 GMT", "version": "v2" } ]

2007-05-23

[ [ "Oota", "Takeshi", "" ] ]

A Berkovits type action for pure spinors in even dimensions is considered. The equations of motion for pure spinors are investigated by using explicit parameterizations which solve the pure spinor constraints. For general interactions, the equations of motions are shown to be modified from the naive ones. The extra terms contain a particular projector. If the interactions are restricted to the ``ghost number'' u(1) and the Lorentz so(p,q) current couplings, the action has a large ``gauge symmetry''. In this case, in some ``gauges'', the extra terms vanish and the equations of motion for the pure spinors retain the naive form even if the pure spinor constraints are taken into account.

13.000963

10.352918

12.329704

11.673487

12.351971

12.241115

11.852318

11.64608

11.266382

13.162576

11.18666

11.758017

11.058274

11.241995

11.545724

11.672936

11.291306

11.136901

10.869071

11.707235

11.103233

0903.4277

Raphael Benichou

Sujay K. Ashok, Raphael Benichou and Jan Troost

Conformal Current Algebra in Two Dimensions

33 pages, minor corrections

JHEP 0906:017,2009

10.1088/1126-6708/2009/06/017

LPTENS-09/16

hep-th

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

We construct a non-chiral current algebra in two dimensions consistent with conformal invariance. We show that the conformal current algebra is realized in non-linear sigma-models on supergroup manifolds with vanishing dual Coxeter number, with or without a Wess-Zumino term. The current algebra is computed using two distinct methods. First we exploit special algebraic properties of supergroups to compute the exact two- and three-point functions of the currents and from them we infer the current algebra. The algebra is also calculated by using conformal perturbation theory about the Wess-Zumino-Witten point and resumming the perturbation series. We also prove that these models realize a non-chiral Kac-Moody algebra and construct an infinite set of commuting operators that is closed under the action of the Kac-Moody generators. The supergroup models that we consider include models with applications to statistical mechanics, condensed matter and string theory. In particular, our results may help to systematically solve and clarify the quantum integrability of PSU(n|n) models and their cosets, which appear prominently in string worldsheet models on anti-deSitter spaces.

[ { "created": "Wed, 25 Mar 2009 09:47:33 GMT", "version": "v1" }, { "created": "Wed, 10 Jun 2009 12:59:49 GMT", "version": "v2" }, { "created": "Mon, 18 Oct 2010 08:34:45 GMT", "version": "v3" } ]

2010-10-19

[ [ "Ashok", "Sujay K.", "" ], [ "Benichou", "Raphael", "" ], [ "Troost", "Jan", "" ] ]

We construct a non-chiral current algebra in two dimensions consistent with conformal invariance. We show that the conformal current algebra is realized in non-linear sigma-models on supergroup manifolds with vanishing dual Coxeter number, with or without a Wess-Zumino term. The current algebra is computed using two distinct methods. First we exploit special algebraic properties of supergroups to compute the exact two- and three-point functions of the currents and from them we infer the current algebra. The algebra is also calculated by using conformal perturbation theory about the Wess-Zumino-Witten point and resumming the perturbation series. We also prove that these models realize a non-chiral Kac-Moody algebra and construct an infinite set of commuting operators that is closed under the action of the Kac-Moody generators. The supergroup models that we consider include models with applications to statistical mechanics, condensed matter and string theory. In particular, our results may help to systematically solve and clarify the quantum integrability of PSU(n|n) models and their cosets, which appear prominently in string worldsheet models on anti-deSitter spaces.

6.836775

7.442068

8.413688

7.305449

7.234228

7.028934

7.354785

6.839554

7.045545

8.634879

7.324926

6.815871

7.506521

6.939392

7.155515

7.223223

7.013698

6.91044

6.996325

7.231278

6.933792

1904.09389

Luiz Henrique De Campos Borges Phd

L. H. C. Borges and F. A. Barone

Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics

12 pages

Brazilian Journal of Physics (2019)

10.1007/s13538-019-00663-8

null

hep-th

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

This paper is dedicated to the study of interactions between external sources for the electromagnetic field in a model which exhibits Lorentz symmetry breaking. We investigate such interactions in the CPT-even photon sector of the Standard Model Extension (SME), where the Lorentz symmetry breaking is caused by a background tensor $K_{(F)\alpha\beta\sigma\tau}$. Since the background tensor is very tiny, we treat it perturbatively up to first order and we focus on physical phenomena which have no counterpart in Maxwell electrodynamics. We consider effects related to field sources describing point-like charges, straight line currents and Dirac strings. We also investigate the so called Aharonov-Bohm bound states in a Lorentz-symmetry breaking scenario. We use atomic experimental data to verify if we could impose upper bounds to the Lorentz-symmetry breaking parameters involved. We also use some overestimated constrains for the Lorentz-symmetry breaking parameters in order to investigate if the obtained results could be relevant for condensed matter systems.

[ { "created": "Sat, 20 Apr 2019 02:25:18 GMT", "version": "v1" } ]

2019-04-23

[ [ "Borges", "L. H. C.", "" ], [ "Barone", "F. A.", "" ] ]

This paper is dedicated to the study of interactions between external sources for the electromagnetic field in a model which exhibits Lorentz symmetry breaking. We investigate such interactions in the CPT-even photon sector of the Standard Model Extension (SME), where the Lorentz symmetry breaking is caused by a background tensor $K_{(F)\alpha\beta\sigma\tau}$. Since the background tensor is very tiny, we treat it perturbatively up to first order and we focus on physical phenomena which have no counterpart in Maxwell electrodynamics. We consider effects related to field sources describing point-like charges, straight line currents and Dirac strings. We also investigate the so called Aharonov-Bohm bound states in a Lorentz-symmetry breaking scenario. We use atomic experimental data to verify if we could impose upper bounds to the Lorentz-symmetry breaking parameters involved. We also use some overestimated constrains for the Lorentz-symmetry breaking parameters in order to investigate if the obtained results could be relevant for condensed matter systems.

8.967465

7.365414

8.749978

7.720229

7.628109

7.764427

7.860312

8.037353

7.595837

9.014752

7.672225

7.918767

8.917118

8.28609

8.012559

8.086486

8.295036

8.076884

8.239474

8.518653

8.116861

2111.11570

Gabriel Menezes

Generalized unitarity method for unstable particles

23 pages, 2 figures; v2: Extensively revised version, many discussions have been extended, conclusions unchanged. Published version

null

10.3390/universe9010028

null

hep-th hep-ph

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

In theories with unstable particles, unitarity is satisfied by the inclusion of only stable states in unitarity sums. Hence unitarity cuts are not to be taken through unstable particles. This raises a challenge to the generalized unitarity method, whose aim is to reconstruct amplitudes by analyzing sets of unitarity cuts. Nevertheless, under some general physical conditions, and perhaps some methodological modifications, we prove that the method is still reliable for one-loop amplitudes containing resonances. We discuss some simple examples which illustrate these features.

[ { "created": "Mon, 22 Nov 2021 23:09:32 GMT", "version": "v1" }, { "created": "Tue, 25 Oct 2022 00:52:48 GMT", "version": "v2" }, { "created": "Fri, 3 Mar 2023 22:47:23 GMT", "version": "v3" } ]

2023-03-07

[ [ "Menezes", "Gabriel", "" ] ]

In theories with unstable particles, unitarity is satisfied by the inclusion of only stable states in unitarity sums. Hence unitarity cuts are not to be taken through unstable particles. This raises a challenge to the generalized unitarity method, whose aim is to reconstruct amplitudes by analyzing sets of unitarity cuts. Nevertheless, under some general physical conditions, and perhaps some methodological modifications, we prove that the method is still reliable for one-loop amplitudes containing resonances. We discuss some simple examples which illustrate these features.

15.400927

14.44091

14.805119

13.025834

14.264885

14.717237

15.377698

13.89779

14.092689

16.385256

13.981459

13.861641

13.725492

12.989568

13.576337

13.327559

13.580909

13.897416

13.749283

14.306248

13.800849

1308.1115

Ricardo Schiappa

In\^es Aniceto, Ricardo Schiappa

Nonperturbative Ambiguities and the Reality of Resurgent Transseries

62 pages, 4 figures; v2: corrected typos, added small discussion on topological sectors, two new figures

null

10.1007/s00220-014-2165-z

null

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

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

In a wide range of quantum theoretical settings -- from quantum mechanics to quantum field theory, from gauge theory to string theory -- singularities in the complex Borel plane, usually associated to instantons or renormalons, render perturbation theory ill-defined as they give rise to nonperturbative ambiguities. These ambiguities are associated to choices of an integration contour in the resummation of perturbation theory, along (singular) Stokes directions in the complex Borel plane (rendering perturbative expansions non-Borel summable along any Stokes line). More recently, it has been shown that the proper framework to address these issues is that of resurgent analysis and transseries. In this context, the cancelation of all nonperturbative ambiguities is shown to be a consequence of choosing the transseries median resummation as the appropriate family of unambiguous real solutions along the coupling-constant real axis. While the median resummation is easily implemented for one-parameter transseries, once one considers more general multi-parameter transseries the procedure becomes highly dependent upon properly understanding Stokes transitions in the complex Borel plane. In particular, all Stokes coefficients must now be known in order to explicitly implement multi-parameter median resummations. In the cases where quantum-theoretical physical observables are described by resurgent functions and transseries, the methods described herein show how one may cancel nonperturbative ambiguities, and define these observables nonperturbatively starting out from perturbation theory. Along the way, structural results concerning resurgent transseries are also obtained.

[ { "created": "Mon, 5 Aug 2013 20:51:51 GMT", "version": "v1" }, { "created": "Mon, 13 Jan 2014 11:24:48 GMT", "version": "v2" } ]

2015-06-16

[ [ "Aniceto", "Inês", "" ], [ "Schiappa", "Ricardo", "" ] ]

In a wide range of quantum theoretical settings -- from quantum mechanics to quantum field theory, from gauge theory to string theory -- singularities in the complex Borel plane, usually associated to instantons or renormalons, render perturbation theory ill-defined as they give rise to nonperturbative ambiguities. These ambiguities are associated to choices of an integration contour in the resummation of perturbation theory, along (singular) Stokes directions in the complex Borel plane (rendering perturbative expansions non-Borel summable along any Stokes line). More recently, it has been shown that the proper framework to address these issues is that of resurgent analysis and transseries. In this context, the cancelation of all nonperturbative ambiguities is shown to be a consequence of choosing the transseries median resummation as the appropriate family of unambiguous real solutions along the coupling-constant real axis. While the median resummation is easily implemented for one-parameter transseries, once one considers more general multi-parameter transseries the procedure becomes highly dependent upon properly understanding Stokes transitions in the complex Borel plane. In particular, all Stokes coefficients must now be known in order to explicitly implement multi-parameter median resummations. In the cases where quantum-theoretical physical observables are described by resurgent functions and transseries, the methods described herein show how one may cancel nonperturbative ambiguities, and define these observables nonperturbatively starting out from perturbation theory. Along the way, structural results concerning resurgent transseries are also obtained.

9.642666

10.012971

11.167329

9.870714

9.733676

10.22051

10.527994

9.921378

9.925984

10.965291

9.353487

9.79642

9.85393

9.795848

9.85316

9.945428

9.852574

9.543011

9.592671

10.087251

9.410666

hep-th/0005090

Gregory Moore

Duiliu-Emanuel Diaconescu, Gregory Moore, and Edward Witten

E8 Gauge Theory, and a Derivation of K-Theory from M-Theory

95pp., harvmac b-mode, v2 minor corrections, v3 fixed eq. 8.40

Adv.Theor.Math.Phys.6:1031-1134,2003

null

IASSNS-HEP-00/39

hep-th

null

The partition function of Ramond-Ramond p-form fields in Type IIA supergravity on a ten-manifold X contains subtle phase factors that are associated with T-duality, self-duality, and the relation of the RR fields to K-theory. The analogous partition function of M-theory on X x S1 contains subtle phases that are similarly associated with E8 gauge theory. We analyze the detailed phase factors on the two sides and show that they agree, thereby testing M-theory/Type IIA duality as well as the K-theory formalism in an interesting way. We also show that certain D-brane states wrapped on nontrivial homology cycles are actually unstable, that (-1)^{F_L} symmetry in Type IIA superstring theory depends in general on a cancellation between a fermion anomaly and an anomaly of RR fields, and that Type IIA superstring theory with no wrapped branes is well-defined only on a spacetime with W_7=0.

[ { "created": "Wed, 10 May 2000 13:29:39 GMT", "version": "v1" }, { "created": "Fri, 28 Mar 2003 15:33:30 GMT", "version": "v2" }, { "created": "Tue, 23 Mar 2004 21:37:57 GMT", "version": "v3" } ]

2010-04-07

[ [ "Diaconescu", "Duiliu-Emanuel", "" ], [ "Moore", "Gregory", "" ], [ "Witten", "Edward", "" ] ]

The partition function of Ramond-Ramond p-form fields in Type IIA supergravity on a ten-manifold X contains subtle phase factors that are associated with T-duality, self-duality, and the relation of the RR fields to K-theory. The analogous partition function of M-theory on X x S1 contains subtle phases that are similarly associated with E8 gauge theory. We analyze the detailed phase factors on the two sides and show that they agree, thereby testing M-theory/Type IIA duality as well as the K-theory formalism in an interesting way. We also show that certain D-brane states wrapped on nontrivial homology cycles are actually unstable, that (-1)^{F_L} symmetry in Type IIA superstring theory depends in general on a cancellation between a fermion anomaly and an anomaly of RR fields, and that Type IIA superstring theory with no wrapped branes is well-defined only on a spacetime with W_7=0.

9.888223

10.193974

12.676358

9.648561

9.874708

10.160178

9.394483

9.029889

9.568316

12.658454

9.545319

8.998037

10.115475

9.107284

9.104548

9.096679

9.017751

9.248189

9.191626

9.941502

9.225085

hep-th/0409217

Shijong Ryang

Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models

16 pages, LaTeX, no figures

JHEP0410:059,2004

10.1088/1126-6708/2004/10/059

null

hep-th

null

From the SU(2) spin chain sigma model at the one-loop and two-loop orders we recover the classical circular string solution with two S^5 spins (J_1, J_2) in the AdS_5 x S^5 string theory. In the SL(2) sector of the one-loop spin chain sigma model we explicitly construct a solution which corresponds to the folded string solution with one AdS_5 spin S and one S^5 spin J. In the one-loop general sigma model we demonstrate that there exists a solution which reproduces the energy of the circular constant-radii string solution with three spins (S_1, S_2, J).

[ { "created": "Wed, 22 Sep 2004 02:26:51 GMT", "version": "v1" } ]

2008-11-26

[ [ "Ryang", "Shijong", "" ] ]

From the SU(2) spin chain sigma model at the one-loop and two-loop orders we recover the classical circular string solution with two S^5 spins (J_1, J_2) in the AdS_5 x S^5 string theory. In the SL(2) sector of the one-loop spin chain sigma model we explicitly construct a solution which corresponds to the folded string solution with one AdS_5 spin S and one S^5 spin J. In the one-loop general sigma model we demonstrate that there exists a solution which reproduces the energy of the circular constant-radii string solution with three spins (S_1, S_2, J).

7.763163

6.091187

8.128438

6.079378

6.323538

5.72828

6.013892

5.999751

6.01922

8.768042

6.200346

6.417157

6.991193

6.287189

5.974679

6.387973

6.165728

6.077344

6.503806

6.809096

6.445111

1404.3711

Lukas Witkowski

Arthur Hebecker, Sebastian C. Kraus and Lukas T. Witkowski

D7-Brane Chaotic Inflation

8 pages, 2 figures; v2: references added

Phys. Lett. B, 737 (2014) 16-22

10.1016/j.physletb.2014.08.028

null

hep-th astro-ph.CO

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

We analyze string-theoretic large-field inflation in the regime of spontaneously-broken supergravity with conventional moduli stabilization by fluxes and non-perturbative effects. The main ingredient is a shift-symmetric Kahler potential, supplemented by flux-induced shift symmetry breaking in the superpotential. The central technical observation is that all these features are present for D7-brane position moduli in Type IIB orientifolds, allowing for a realization of the axion monodromy proposal in a controlled string theory compactification. On the one hand, in the large complex structure regime the D7-brane position moduli inherit a shift symmetry from their mirror-dual Type IIA Wilson lines. On the other hand, the Type IIB flux superpotential generically breaks this shift symmetry and allows, by appealing to the large flux discretuum, to tune the relevant coefficients to be small. The shift-symmetric direction in D7-brane moduli space can then play the role of the inflaton: While the D7-brane circles a certain trajectory on the Calabi-Yau many times, the corresponding F-term energy density grows only very slowly, thanks to the above-mentioned tuning of the flux. Thus, the large-field inflationary trajectory can be realized in a regime where Kahler, complex structure and other brane moduli are stabilized in a conventional manner, as we demonstrate using the example of the Large Volume Scenario.

[ { "created": "Mon, 14 Apr 2014 19:40:25 GMT", "version": "v1" }, { "created": "Mon, 28 Apr 2014 16:22:07 GMT", "version": "v2" } ]

2014-08-26

[ [ "Hebecker", "Arthur", "" ], [ "Kraus", "Sebastian C.", "" ], [ "Witkowski", "Lukas T.", "" ] ]

We analyze string-theoretic large-field inflation in the regime of spontaneously-broken supergravity with conventional moduli stabilization by fluxes and non-perturbative effects. The main ingredient is a shift-symmetric Kahler potential, supplemented by flux-induced shift symmetry breaking in the superpotential. The central technical observation is that all these features are present for D7-brane position moduli in Type IIB orientifolds, allowing for a realization of the axion monodromy proposal in a controlled string theory compactification. On the one hand, in the large complex structure regime the D7-brane position moduli inherit a shift symmetry from their mirror-dual Type IIA Wilson lines. On the other hand, the Type IIB flux superpotential generically breaks this shift symmetry and allows, by appealing to the large flux discretuum, to tune the relevant coefficients to be small. The shift-symmetric direction in D7-brane moduli space can then play the role of the inflaton: While the D7-brane circles a certain trajectory on the Calabi-Yau many times, the corresponding F-term energy density grows only very slowly, thanks to the above-mentioned tuning of the flux. Thus, the large-field inflationary trajectory can be realized in a regime where Kahler, complex structure and other brane moduli are stabilized in a conventional manner, as we demonstrate using the example of the Large Volume Scenario.

8.656109

8.265487

9.578624

8.212619

8.675982

8.862142

8.634158

7.822351

8.018175

10.62954

8.386643

8.483584

8.822237

8.30224

8.428988

8.410427

8.576909

8.498229

8.575093

8.749929

8.342033

hep-th/9805013

Martin Lavelle

Martin Lavelle and David McMullan

Colour Charges and the Anti-Screening Contribution to the Interquark Potential

7 pages, LaTeX

Phys.Lett. B436 (1998) 339-343

10.1016/S0370-2693(98)00866-1

PLY-MS-98-11

hep-th hep-lat hep-ph

null

Asymptotic freedom arises from the dominance of anti-screening over screening in non-abelian gauge theories. In this paper we will present a simple and physically appealing derivation of the anti-screening contribution to the interquark potential. Our method allows us to identify the dominant gluonic distribution around static quarks. Extensions are discussed.

[ { "created": "Mon, 4 May 1998 11:19:40 GMT", "version": "v1" } ]

2009-10-31

[ [ "Lavelle", "Martin", "" ], [ "McMullan", "David", "" ] ]

Asymptotic freedom arises from the dominance of anti-screening over screening in non-abelian gauge theories. In this paper we will present a simple and physically appealing derivation of the anti-screening contribution to the interquark potential. Our method allows us to identify the dominant gluonic distribution around static quarks. Extensions are discussed.

11.271396

12.440393

9.758415

9.403607

11.568855

12.042659

9.886838

10.022477

9.626332

10.203188

10.812351

10.396488

9.740796

9.787424

10.174462

10.009824

10.593019

10.483759

9.650721

10.270756

10.53409

1901.07966

Vakhid Gani

Vakhid A. Gani, Aliakbar Moradi Marjaneh, Danial Saadatmand

Multi-kink scattering in the double sine-Gordon model

24 pages, 12 figures; v2: figures, discussion and references added; matches the published version

Eur. Phys. J. C 79 (2019) 620

10.1140/epjc/s10052-019-7125-5

null

hep-th cond-mat.mtrl-sci math-ph math.MP nlin.PS

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

We study collisions of two, three, and four kinks of the double sine-Gordon model. The initial conditions are taken in a special form in order to provide collision of all kinks in one point. We obtain dependences of the maximal energy densities on the model parameter. We also analyze the final states observed in these collisions.

[ { "created": "Wed, 23 Jan 2019 15:55:56 GMT", "version": "v1" }, { "created": "Sat, 27 Jul 2019 13:34:33 GMT", "version": "v2" } ]

2019-09-27

[ [ "Gani", "Vakhid A.", "" ], [ "Marjaneh", "Aliakbar Moradi", "" ], [ "Saadatmand", "Danial", "" ] ]

We study collisions of two, three, and four kinks of the double sine-Gordon model. The initial conditions are taken in a special form in order to provide collision of all kinks in one point. We obtain dependences of the maximal energy densities on the model parameter. We also analyze the final states observed in these collisions.

13.773556

7.486023

10.820789

8.267696

8.676764

8.880045

8.406634

8.479686

8.336062

11.578213

8.77836

9.244789

10.001998

9.472335

9.603692

10.270612

9.452947

9.557167

10.088293

9.995738

9.575317

hep-th/9906197

Phillial Oh

Gauged Nonlinear Sigma Model and Boundary Diffeomorphism Algebra

8 pages, Revtex

Phys.Lett. B464 (1999) 19-24

10.1016/S0370-2693(99)01041-2

SNUTP/99-032

hep-th

null

We consider Chern-Simons gauged nonlinear sigma model with boundary which has a manifest bulk diffeomorphism invariance. We find that the Gauss's law can be solved explicitly when the nonlinear sigma model is defined on the Hermitian symmetric space, and the original bulk theory completely reduces to a boundary nonlinear sigma model with the target space of Hermitian symmetric space. We also study the symplectic structure, compute the diffeomorphism algebra on the boundary, and find an (enlarged) Virasoro algebra with classical central term.

[ { "created": "Fri, 25 Jun 1999 05:21:43 GMT", "version": "v1" } ]

2009-10-31

[ [ "Oh", "Phillial", "" ] ]

We consider Chern-Simons gauged nonlinear sigma model with boundary which has a manifest bulk diffeomorphism invariance. We find that the Gauss's law can be solved explicitly when the nonlinear sigma model is defined on the Hermitian symmetric space, and the original bulk theory completely reduces to a boundary nonlinear sigma model with the target space of Hermitian symmetric space. We also study the symplectic structure, compute the diffeomorphism algebra on the boundary, and find an (enlarged) Virasoro algebra with classical central term.

8.809142

8.537847

9.684079

8.200938

8.098118

8.45204

8.866199

8.538258

8.843215

9.93448

8.361612

8.035397

9.666852

8.644173

8.059782

8.338622

8.404273

8.311422

8.26963

9.428414

8.208176

hep-th/0107074

Daniel Zwanziger

Laurent Baulieu and Daniel Zwanziger

Bulk Quantization of Gauge Theories: Confined and Higgs Phases

34 pages

JHEP 0108:015,2001

10.1088/1126-6708/2001/08/015

null

hep-th

null

We deepen the understanding of the quantization of the Yang-Mills field by showing that the concept of gauge fixing in 4 dimensions is replaced in the 5-dimensional formulation by a procedure that amounts to an $A$-dependent gauge transformation. The 5-dimensional formulation implements the restriction of the physical 4-dimensional gluon field to the Gribov region, while being a local description that is under control of BRST symmetries both of topological and gauge type. The ghosts decouple so the Euclidean probability density is everywhere positive, in contradistinction to the Faddeev-Popov method for which the determinant changes sign outside the Gribov region. We include in our discussion the coupling of the gauge theory to a Higgs field, including the case of spontaneously symmetry breaking. We introduce a minimizing functional on the gauge orbit that could be of interest for numerical gauge fixing in the simulations of spontaneously broken lattice gauge theories. Other new results are displayed, such as the identification of the Schwinger-Dyson equation of the five dimensional formulation in the (singular) Landau gauge with that of the ordinary Faddeev-Popov formulation, order by order in perturbation theory.

[ { "created": "Tue, 10 Jul 2001 21:08:52 GMT", "version": "v1" } ]

2016-09-06

[ [ "Baulieu", "Laurent", "" ], [ "Zwanziger", "Daniel", "" ] ]

We deepen the understanding of the quantization of the Yang-Mills field by showing that the concept of gauge fixing in 4 dimensions is replaced in the 5-dimensional formulation by a procedure that amounts to an $A$-dependent gauge transformation. The 5-dimensional formulation implements the restriction of the physical 4-dimensional gluon field to the Gribov region, while being a local description that is under control of BRST symmetries both of topological and gauge type. The ghosts decouple so the Euclidean probability density is everywhere positive, in contradistinction to the Faddeev-Popov method for which the determinant changes sign outside the Gribov region. We include in our discussion the coupling of the gauge theory to a Higgs field, including the case of spontaneously symmetry breaking. We introduce a minimizing functional on the gauge orbit that could be of interest for numerical gauge fixing in the simulations of spontaneously broken lattice gauge theories. Other new results are displayed, such as the identification of the Schwinger-Dyson equation of the five dimensional formulation in the (singular) Landau gauge with that of the ordinary Faddeev-Popov formulation, order by order in perturbation theory.

10.799259

11.393394

11.956962

10.560966

11.185796

11.405192

10.816536

10.799311

10.924403

11.660511

10.506442

10.585616

10.680093

10.505207

10.732748

10.99131

10.621897

10.610702

10.613665

10.458607

10.387029

2202.11881

Carlos M. Reyes

Carlos M. Reyes and Marco Schreck

Modified-gravity theories with nondynamical background fields

25 pages

null

10.1103/PhysRevD.106.044050

null

hep-th gr-qc

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

We study the dynamics of a modified-gravity theory, which is supplemented by an extended Gibbons-Hawking-York boundary term and incorporates diffeomorphism violation through nondynamical background fields denoted as $u$ and $s^{\mu\nu}$ in the literature. An ADM decomposition allows us to project the modified Einstein equations into purely spacelike hypersurfaces, which implies the field equations for the induced dynamical three-metric. We also obtain the Hamilton-Jacobi equations of motion for the canonical variables of the theory based on its Hamiltonian, which was derived in a previous work. The computations show that the dynamical field equations obtained from the Lagrangian and Hamiltonian approaches are consistent with each other. Connections to Brans-Dicke theory and ghost-free massive gravity are established.

[ { "created": "Thu, 24 Feb 2022 03:25:20 GMT", "version": "v1" } ]

2022-09-07

[ [ "Reyes", "Carlos M.", "" ], [ "Schreck", "Marco", "" ] ]

We study the dynamics of a modified-gravity theory, which is supplemented by an extended Gibbons-Hawking-York boundary term and incorporates diffeomorphism violation through nondynamical background fields denoted as $u$ and $s^{\mu\nu}$ in the literature. An ADM decomposition allows us to project the modified Einstein equations into purely spacelike hypersurfaces, which implies the field equations for the induced dynamical three-metric. We also obtain the Hamilton-Jacobi equations of motion for the canonical variables of the theory based on its Hamiltonian, which was derived in a previous work. The computations show that the dynamical field equations obtained from the Lagrangian and Hamiltonian approaches are consistent with each other. Connections to Brans-Dicke theory and ghost-free massive gravity are established.

9.867373

10.997636

8.681808

8.894193

9.64002

10.045331

10.862949

8.87956

9.592139

9.833948

9.594835

9.385802

9.387136

8.915774

9.689082

9.261688

9.566082

9.196525

9.57324

9.208675

9.173402

2211.13277

Allen Stern

A. Stern and A. Pinzul

Noncommutative $AdS_2$ II: The Correspondence Principle

To be published in "Particles, Fields and Topology: Celebrating A.P. Balachandran", a Festschrift volume for A.P. Balachandran

null

10.1142/9789811270437_0023

null

hep-th

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

Using the exact solutions to the field equation for a massive scalar field on noncommutative $AdS_2$, we apply the $AdS/CFT$ correspondence principle to obtain an exact result for the associated two-point function on the conformal boundary. The answer satisfies conformal invariance and has the correct commutative limit and massless limit.

[ { "created": "Wed, 23 Nov 2022 19:44:15 GMT", "version": "v1" } ]

2023-08-08

[ [ "Stern", "A.", "" ], [ "Pinzul", "A.", "" ] ]

Using the exact solutions to the field equation for a massive scalar field on noncommutative $AdS_2$, we apply the $AdS/CFT$ correspondence principle to obtain an exact result for the associated two-point function on the conformal boundary. The answer satisfies conformal invariance and has the correct commutative limit and massless limit.

8.298296

6.309835

7.261873

6.381552

6.696277

5.995997

6.06375

6.443182

6.032847

8.319407

6.259191

6.986968

7.493568

6.734298

7.126762

7.490034

6.951123

6.992146

6.806313

7.369462

7.007131

hep-th/9310008

Qmw Theory Group

D. Bailin, A. Love, W.A. Sabra and S. Thomas

String Loop Threshold Corrections \break For ${\bf Z}_N$ Coxeter Orbifolds

15 pages, QMW--TH--93/22, SUSX--TH--93/14

Mod.Phys.Lett. A9 (1994) 67-80

10.1142/S0217732394000083

null

hep-th

null

The moduli dependence of string loop threshold corrections to gauge coupling constants is investigated for those ${\bf Z}_N$ Coxeter orbifolds with the property that some twisted sectors have fixed planes for which the six-torus ${\bf T}_6$ can not be decomposed into a direct sum ${\bf T}_4 \bigoplus{\bf T}_2$ with the fixed plane lying in ${\bf T}_2.$

[ { "created": "Fri, 1 Oct 1993 17:13:45 GMT", "version": "v1" } ]

2015-06-26

[ [ "Bailin", "D.", "" ], [ "Love", "A.", "" ], [ "Sabra", "W. A.", "" ], [ "Thomas", "S.", "" ] ]

The moduli dependence of string loop threshold corrections to gauge coupling constants is investigated for those ${\bf Z}_N$ Coxeter orbifolds with the property that some twisted sectors have fixed planes for which the six-torus ${\bf T}_6$ can not be decomposed into a direct sum ${\bf T}_4 \bigoplus{\bf T}_2$ with the fixed plane lying in ${\bf T}_2.$

8.36599

4.529646

9.77452

5.760984

5.120627

5.458812

5.58414

4.660921

5.445278

8.846836

5.479525

6.496027

7.414892

7.191155

6.602123

6.777648

6.655413

6.399658

6.883814

7.655994

6.864023

hep-th/9808116

Mark Burgess

Effective field theories of non-equilibrium physics

Reformatted long equation, otherwise unchanged

Proceedings of the 5th Int. Workshop on Thermal Fields and Their Applications, Regensburg 1998

null

hep-th

null

Non equilibrium effective field theory is presented as an inhomogeneous field theory, using a formulation which is analogous to that of a gauge theory. This formulation underlines the importance of structural aspects of non-equilibrium, effective field theories. It is shown that, unless proper attention is paid to such structural features, hugely different answers can be obtained for a given model. The exactly soluble two-level atom is used as an example of both the covariant methodology and of the conclusions.

[ { "created": "Wed, 19 Aug 1998 15:22:45 GMT", "version": "v1" }, { "created": "Mon, 7 Sep 1998 09:04:01 GMT", "version": "v2" }, { "created": "Sat, 12 Sep 1998 13:08:40 GMT", "version": "v3" } ]

2007-05-23

[ [ "Burgess", "Mark", "" ] ]

Non equilibrium effective field theory is presented as an inhomogeneous field theory, using a formulation which is analogous to that of a gauge theory. This formulation underlines the importance of structural aspects of non-equilibrium, effective field theories. It is shown that, unless proper attention is paid to such structural features, hugely different answers can be obtained for a given model. The exactly soluble two-level atom is used as an example of both the covariant methodology and of the conclusions.

17.965273

17.005089

16.725897

16.35074

16.969973

16.608669

19.593105

16.892931

17.463541

21.521368

17.07827

16.453749

16.059977

15.716227

16.235655

16.486828

16.096523

16.404636

16.531656

16.918772

16.211136

0705.2191

Dmitry Krotov

Victor Alexandrov, Dmitry Krotov, Andrey Losev, Vyacheslav Lysov

On Pure Spinor Superfield Formalism

null

JHEP 0710:074,2007

10.1088/1126-6708/2007/10/074

INR/TH-24-2006, ITEP/TH -37/06

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

null

We show that a certain superfield formalism can be used to find an off-shell supersymmetric description for some supersymmetric field theories where conventional superfield formalism does not work. This "new" formalism contains even auxiliary variables in addition to conventional odd super-coordinates. The idea of this construction is similar to the pure spinor formalism developed by N.Berkovits. It is demonstrated that using this formalism it is possible to prove that the certain Chern-Simons-like (Witten's OSFT-like) theory can be considered as an off-shell version for some on-shell supersymmetric field theories. We use the simplest non-trivial model found in [2] to illustrate the power of this pure spinor superfield formalism. Then we redo all the calculations for the case of 10-dimensional Super-Yang-Mills theory. The construction of off-shell description for this theory is more subtle in comparison with the model of [2] and requires additional Z_2 projection. We discover experimentally (through a direct explicit calculation) a non-trivial Z_2 duality at the level of Feynman diagrams. The nature of this duality requires a better investigation.

[ { "created": "Tue, 15 May 2007 16:58:43 GMT", "version": "v1" }, { "created": "Thu, 31 May 2007 12:03:59 GMT", "version": "v2" } ]

2009-04-22

[ [ "Alexandrov", "Victor", "" ], [ "Krotov", "Dmitry", "" ], [ "Losev", "Andrey", "" ], [ "Lysov", "Vyacheslav", "" ] ]

We show that a certain superfield formalism can be used to find an off-shell supersymmetric description for some supersymmetric field theories where conventional superfield formalism does not work. This "new" formalism contains even auxiliary variables in addition to conventional odd super-coordinates. The idea of this construction is similar to the pure spinor formalism developed by N.Berkovits. It is demonstrated that using this formalism it is possible to prove that the certain Chern-Simons-like (Witten's OSFT-like) theory can be considered as an off-shell version for some on-shell supersymmetric field theories. We use the simplest non-trivial model found in [2] to illustrate the power of this pure spinor superfield formalism. Then we redo all the calculations for the case of 10-dimensional Super-Yang-Mills theory. The construction of off-shell description for this theory is more subtle in comparison with the model of [2] and requires additional Z_2 projection. We discover experimentally (through a direct explicit calculation) a non-trivial Z_2 duality at the level of Feynman diagrams. The nature of this duality requires a better investigation.

9.832276

10.575345

10.839226

9.76986

10.121613

10.571977

10.561304

10.537715

10.076838

10.810272

9.617105

9.744498

9.908637

9.506874

9.567305

9.585009

9.585269

9.763422

9.725399

9.888958

9.417301

1412.6098

Kurt Hinterbichler

Garrett Goon, Kurt Hinterbichler, Austin Joyce, Mark Trodden

Einstein Gravity, Massive Gravity, Multi-Gravity and Nonlinear Realizations

35 pages. v2 refs, comments added, appearing in JHEP

JHEP 1507 (2015) 101

10.1007/JHEP07(2015)101

null

hep-th gr-qc

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

The existence of a ghost free theory of massive gravity begs for an interpretation as a Higgs phase of General Relativity. We revisit the study of massive gravity as a Higgs phase. Absent a compelling microphysical model of spontaneous symmetry breaking in gravity, we approach this problem from the viewpoint of nonlinear realizations. We employ the coset construction to search for the most restrictive symmetry breaking pattern whose low energy theory will both admit the de Rham-Gabadadze-Tolley (dRGT) potentials and nonlinearly realize every symmetry of General Relativity, thereby providing a new perspective from which to build theories of massive gravity. In addition to the known ghost-free terms, we find a novel parity violating interaction which preserves the constraint structure of the theory, but which vanishes on the normal branch of the theory. Finally, the procedure is extended to the cases of bi-gravity and multi-vielbein theories. Analogous parity violating interactions exist here, too, and may be non-trivial for certain classes of multi-metric theories.

[ { "created": "Thu, 18 Dec 2014 21:00:02 GMT", "version": "v1" }, { "created": "Wed, 5 Aug 2015 19:06:21 GMT", "version": "v2" } ]

2015-08-06

[ [ "Goon", "Garrett", "" ], [ "Hinterbichler", "Kurt", "" ], [ "Joyce", "Austin", "" ], [ "Trodden", "Mark", "" ] ]

The existence of a ghost free theory of massive gravity begs for an interpretation as a Higgs phase of General Relativity. We revisit the study of massive gravity as a Higgs phase. Absent a compelling microphysical model of spontaneous symmetry breaking in gravity, we approach this problem from the viewpoint of nonlinear realizations. We employ the coset construction to search for the most restrictive symmetry breaking pattern whose low energy theory will both admit the de Rham-Gabadadze-Tolley (dRGT) potentials and nonlinearly realize every symmetry of General Relativity, thereby providing a new perspective from which to build theories of massive gravity. In addition to the known ghost-free terms, we find a novel parity violating interaction which preserves the constraint structure of the theory, but which vanishes on the normal branch of the theory. Finally, the procedure is extended to the cases of bi-gravity and multi-vielbein theories. Analogous parity violating interactions exist here, too, and may be non-trivial for certain classes of multi-metric theories.

9.099429

9.364734

9.459534

8.539743

9.516855

9.042379

9.365338

8.806849

9.119554

10.304936

8.965856

8.888552

9.239794

9.00668

8.612078

8.850898

8.320186

8.8754

8.952964

9.200994

8.717848

1103.2769

Robert Schabinger

Robert M. Schabinger

One-Loop N = 4 Super Yang-Mills Scattering Amplitudes to All Orders in the Dimensional Regularization Parameter

134 pages, 18 figures. "The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory" (arXiv:1009.1376) by Kosower et. al. refers to this work (ref. 25); in v2: added refs. and updated A.2; in v3: fixed Fig. 1 and eq. (2.7); in v4: incorporated referee suggestions in text (see arXiv:1104.3873), added refs., and fixed eqs. (6.41) and (6.42); in v5: fixed eq. (2.23) and Fig. 12

null

IFT-UAM/CSIC-11-11

hep-th

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

In this paper we discuss in detail computational methods and new results for one-loop virtual corrections to N = 4 super Yang-Mills scattering amplitudes calculated to all orders in epsilon, the dimensional regularization parameter. It is often the case that one-loop gauge theory computations are carried out to order epsilon^0, since higher order in epsilon contributions vanish in the small epsilon limit. We will show, however, that the higher order contributions are actually quite useful. In the context of maximally supersymmetric Yang-Mills, we consider two examples in detail to illustrate our point. First we will concentrate on computations with gluonic external states and argue that N = 4 supersymmetry implies a simple relation between all-orders-in-epsilon one-loop N = 4 super Yang-Mills amplitudes and the first and second stringy corrections to analogous tree-level superstring amplitudes. For our second example we will derive a new result for the all-orders-in-epsilon one-loop superamplitude for planar six-particle NMHV scattering, an object which allows one to easily obtain six-point NMHV amplitudes with arbitrary external states. We will then discuss the relevance of this computation to the evaluation of the ratio of the planar two-loop six-point NMHV superamplitude to the planar two-loop six-point MHV superamplitude, a quantity which is expected to have remarkable properties and has been the subject of much recent investigation. To make the presentation as self-contained as possible, we extensively review the prerequisites necessary to understand the main results of this work.

[ { "created": "Mon, 14 Mar 2011 20:00:03 GMT", "version": "v1" }, { "created": "Wed, 23 Mar 2011 03:06:02 GMT", "version": "v2" }, { "created": "Mon, 4 Apr 2011 00:26:45 GMT", "version": "v3" }, { "created": "Thu, 21 Apr 2011 02:57:09 GMT", "version": "v4" }, { "created": "Sat, 10 Jan 2015 14:06:37 GMT", "version": "v5" } ]

2015-03-19

[ [ "Schabinger", "Robert M.", "" ] ]

In this paper we discuss in detail computational methods and new results for one-loop virtual corrections to N = 4 super Yang-Mills scattering amplitudes calculated to all orders in epsilon, the dimensional regularization parameter. It is often the case that one-loop gauge theory computations are carried out to order epsilon^0, since higher order in epsilon contributions vanish in the small epsilon limit. We will show, however, that the higher order contributions are actually quite useful. In the context of maximally supersymmetric Yang-Mills, we consider two examples in detail to illustrate our point. First we will concentrate on computations with gluonic external states and argue that N = 4 supersymmetry implies a simple relation between all-orders-in-epsilon one-loop N = 4 super Yang-Mills amplitudes and the first and second stringy corrections to analogous tree-level superstring amplitudes. For our second example we will derive a new result for the all-orders-in-epsilon one-loop superamplitude for planar six-particle NMHV scattering, an object which allows one to easily obtain six-point NMHV amplitudes with arbitrary external states. We will then discuss the relevance of this computation to the evaluation of the ratio of the planar two-loop six-point NMHV superamplitude to the planar two-loop six-point MHV superamplitude, a quantity which is expected to have remarkable properties and has been the subject of much recent investigation. To make the presentation as self-contained as possible, we extensively review the prerequisites necessary to understand the main results of this work.

6.302277

5.222843

6.678703

5.809365

5.569069

5.437738

5.488993

5.654589

5.77686

7.537014

6.033738

6.020693

6.345018

6.103785

5.976157

6.031808

5.995658

6.149821

6.11161

6.634597

6.239138

hep-th/0208219

Andre Lukas

Nuno D. Antunes, Edmund J. Copeland, Mark Hindmarsh, Andre Lukas

Kinky Brane Worlds

31 pages, Latex, 6 eps-figures

Phys.Rev. D68 (2003) 066005

10.1103/PhysRevD.68.066005

SUSX-TH/02-018

hep-th hep-ph

null

We present a toy model for five-dimensional heterotic M-theory where bulk three-branes, originating in 11 dimensions from M five-branes, are modelled as kink solutions of a bulk scalar field theory. It is shown that the vacua of this defect model correspond to a class of topologically distinct M-theory compactifications. Topology change can then be analysed by studying the time evolution of the defect model. In the context of a four-dimensional effective theory, we study in detail the simplest such process, that is the time evolution of a kink and its collision with a boundary. We find that the kink is generically absorbed by the boundary thereby changing the boundary charge. This opens up the possibility of exploring the relation between more complicated defect configurations and the topology of brane-world models.

[ { "created": "Thu, 29 Aug 2002 16:57:08 GMT", "version": "v1" } ]

2009-11-07

[ [ "Antunes", "Nuno D.", "" ], [ "Copeland", "Edmund J.", "" ], [ "Hindmarsh", "Mark", "" ], [ "Lukas", "Andre", "" ] ]

We present a toy model for five-dimensional heterotic M-theory where bulk three-branes, originating in 11 dimensions from M five-branes, are modelled as kink solutions of a bulk scalar field theory. It is shown that the vacua of this defect model correspond to a class of topologically distinct M-theory compactifications. Topology change can then be analysed by studying the time evolution of the defect model. In the context of a four-dimensional effective theory, we study in detail the simplest such process, that is the time evolution of a kink and its collision with a boundary. We find that the kink is generically absorbed by the boundary thereby changing the boundary charge. This opens up the possibility of exploring the relation between more complicated defect configurations and the topology of brane-world models.

9.290093

10.036627

10.025611

9.199064

9.293737

9.221145

9.752242

9.256105

9.192131

11.055788

9.11946

9.311896

9.16698

9.133457

9.061171

9.260315

9.301283

9.248116

8.953183

8.906963

8.991783

0907.4195

Gernot Akemann

G. Akemann, E. Bittner, M. J. Phillips, L. Shifrin

A Wigner Surmise for Hermitian and Non-Hermitian Chiral Random Matrices

4 pages, 5 figures

Phys.Rev.E80:065201,2009

10.1103/PhysRevE.80.065201

null

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

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

We use the idea of a Wigner surmise to compute approximate distributions of the first eigenvalue in chiral Random Matrix Theory, for both real and complex eigenvalues. Testing against known results for zero and maximal non-Hermiticity in the microscopic large-N limit we find an excellent agreement, valid for a small number of exact zero-eigenvalues. New compact expressions are derived for real eigenvalues in the orthogonal and symplectic classes, and at intermediate non-Hermiticity for the unitary and symplectic classes. Such individual Dirac eigenvalue distributions are a useful tool in Lattice Gauge Theory and we illustrate this by showing that our new results can describe data from two-colour QCD simulations with chemical potential in the symplectic class.

[ { "created": "Fri, 24 Jul 2009 17:18:22 GMT", "version": "v1" } ]

2010-02-16

[ [ "Akemann", "G.", "" ], [ "Bittner", "E.", "" ], [ "Phillips", "M. J.", "" ], [ "Shifrin", "L.", "" ] ]

We use the idea of a Wigner surmise to compute approximate distributions of the first eigenvalue in chiral Random Matrix Theory, for both real and complex eigenvalues. Testing against known results for zero and maximal non-Hermiticity in the microscopic large-N limit we find an excellent agreement, valid for a small number of exact zero-eigenvalues. New compact expressions are derived for real eigenvalues in the orthogonal and symplectic classes, and at intermediate non-Hermiticity for the unitary and symplectic classes. Such individual Dirac eigenvalue distributions are a useful tool in Lattice Gauge Theory and we illustrate this by showing that our new results can describe data from two-colour QCD simulations with chemical potential in the symplectic class.

12.035151

11.633273

11.941885

11.253746

12.099533

12.696251

12.941592

12.268117

12.74339

13.222446

11.661281

11.280149

10.835265

10.729744

11.271987

11.389154

11.394117

11.543076

10.814956

11.497257

10.998508

1806.02206

Tim Morris Prof

Tim R. Morris

Quantum gravity, renormalizability and diffeomorphism invariance

64 pages

SciPost Phys. 5, 040 (2018)

10.21468/SciPostPhys.5.4.040

null

hep-th gr-qc

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

We show that the Wilsonian renormalization group (RG) provides a natural regularisation of the Quantum Master Equation such that to first order the BRST algebra closes on local functionals spanned by the eigenoperators with constant couplings. We then apply this to quantum gravity. Around the Gaussian fixed point, RG properties of the conformal factor of the metric allow the construction of a Hilbert space $\mathfrak{L}$ of renormalizable interactions, non-perturbative in $\hbar$, and involving arbitrarily high powers of the gravitational fluctuations. We show that diffeomorphism invariance is violated for interactions that lie inside $\mathfrak{L}$, in the sense that only a trivial quantum BRST cohomology exists for interactions at first order in the couplings. However by taking a limit to the boundary of $\mathfrak{L}$, the couplings can be constrained to recover Newton's constant, and standard realisations of diffeomorphism invariance, whilst retaining renormalizability. The limits are sufficiently flexible to allow this also at higher orders. This leaves open a number of questions that should find their answer at second order. We develop much of the framework that will allow these calculations to be performed.

[ { "created": "Wed, 6 Jun 2018 14:19:21 GMT", "version": "v1" } ]

2018-10-31

[ [ "Morris", "Tim R.", "" ] ]

We show that the Wilsonian renormalization group (RG) provides a natural regularisation of the Quantum Master Equation such that to first order the BRST algebra closes on local functionals spanned by the eigenoperators with constant couplings. We then apply this to quantum gravity. Around the Gaussian fixed point, RG properties of the conformal factor of the metric allow the construction of a Hilbert space $\mathfrak{L}$ of renormalizable interactions, non-perturbative in $\hbar$, and involving arbitrarily high powers of the gravitational fluctuations. We show that diffeomorphism invariance is violated for interactions that lie inside $\mathfrak{L}$, in the sense that only a trivial quantum BRST cohomology exists for interactions at first order in the couplings. However by taking a limit to the boundary of $\mathfrak{L}$, the couplings can be constrained to recover Newton's constant, and standard realisations of diffeomorphism invariance, whilst retaining renormalizability. The limits are sufficiently flexible to allow this also at higher orders. This leaves open a number of questions that should find their answer at second order. We develop much of the framework that will allow these calculations to be performed.

10.602665

10.779953

11.970724

10.373297

10.735197

10.82963

10.78332

10.777352

10.259638

12.637589

10.357816

10.26785

10.697457

10.087143

10.178709

10.168977

10.11

10.216029

10.367219

10.94982

10.059951

1308.2028

Ricardo Cardoso Paschoal

Everton M. C. Abreu, Marco A. De Andrade, Leonardo P. G. De Assis, Jos\'e A. Helay\"el-Neto, A. L. M. A. Nogueira and Ricardo C. Paschoal

Vortex Solutions and a Novel Role for R-parity in an N=2-Supersymmetric Model for Graphene

21 pages, 2 figures (with corrections in v2), added references, new commentaries added (but results remain unchanged). v3: just minor changes in acknowledgements

null

hep-th cond-mat.mes-hall cond-mat.mtrl-sci

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

In a previous work, we have been able to settle Jackiw's et al. chiral gauge theory for Dirac fermions in graphene in an N=1 supersymmetric framework, using a tau3-QED prescription, defined by means of a single pair of gauge charged superfields, but without preserving a global phase symmetry associated to the electric charge. In the present work, we propose another N=1-generalisation which indeed preserves this symmetry, namely, a straightforward extension built upon a set of two pairs of (chiral) gauge-charged superfields plus an extra pair of electrically neutral superfields. We then further proceed to establish, via a dimensional reduction procedure, an N=2 extension, allowing for the identification of non-perturbative features, as we put forward Bogomol'nyi equations and obtain vortex-like solutions saturating a topologically non-trivial bound. Remarkably, the bosonic projection of the N=2 functional space onto the saturated regime analysed herewith reveals to be free from extra scalar degrees of freedom that would otherwise demand a phenomenological interpretation. The investigation of Jackiw's model within an N=2 complex superspace is also motivated by the assumption that an R-parity-like symmetry could provide a route to incorporate the global phase-fermion number invariance as an external-like symmetry of the theory, thus associating the electric charge in graphene to the complex covariance (super-)space for the N=2-D=3 setup. We prove such a hypothesis to be realisable, as we build up the model endowed with all the symmetries required to further extend Jackiw's chiral gauge theory.

[ { "created": "Fri, 9 Aug 2013 03:34:43 GMT", "version": "v1" }, { "created": "Thu, 17 Apr 2014 19:47:06 GMT", "version": "v2" }, { "created": "Wed, 23 Apr 2014 06:20:17 GMT", "version": "v3" } ]

2014-04-24

[ [ "Abreu", "Everton M. C.", "" ], [ "De Andrade", "Marco A.", "" ], [ "De Assis", "Leonardo P. G.", "" ], [ "Helayël-Neto", "José A.", "" ], [ "Nogueira", "A. L. M. A.", "" ], [ "Paschoal", "Ricardo C.", "" ] ]

In a previous work, we have been able to settle Jackiw's et al. chiral gauge theory for Dirac fermions in graphene in an N=1 supersymmetric framework, using a tau3-QED prescription, defined by means of a single pair of gauge charged superfields, but without preserving a global phase symmetry associated to the electric charge. In the present work, we propose another N=1-generalisation which indeed preserves this symmetry, namely, a straightforward extension built upon a set of two pairs of (chiral) gauge-charged superfields plus an extra pair of electrically neutral superfields. We then further proceed to establish, via a dimensional reduction procedure, an N=2 extension, allowing for the identification of non-perturbative features, as we put forward Bogomol'nyi equations and obtain vortex-like solutions saturating a topologically non-trivial bound. Remarkably, the bosonic projection of the N=2 functional space onto the saturated regime analysed herewith reveals to be free from extra scalar degrees of freedom that would otherwise demand a phenomenological interpretation. The investigation of Jackiw's model within an N=2 complex superspace is also motivated by the assumption that an R-parity-like symmetry could provide a route to incorporate the global phase-fermion number invariance as an external-like symmetry of the theory, thus associating the electric charge in graphene to the complex covariance (super-)space for the N=2-D=3 setup. We prove such a hypothesis to be realisable, as we build up the model endowed with all the symmetries required to further extend Jackiw's chiral gauge theory.

16.516237

17.222881

16.662302

17.030437

17.467176

17.801907

16.873682

17.725239

16.751913

19.12631

16.481983

16.629992

16.517466

16.291655

16.464756

16.494436

16.93903

16.300314

16.552197

17.273937

16.214815

hep-th/9802152

Ichiro Oda

Ichiro Oda (Edogawa Univ.)

Path Integral Equivalence between Super D-string and IIB Superstring

9 pages, LaTex, replaced by a revised version

Phys.Lett. B430 (1998) 242-247

10.1016/S0370-2693(98)00530-9

EDO-EP-19

hep-th

null

We show that the super D-string action is exactly equivalent to the IIB Green-Schwarz superstring action with some "theta term" in terms of the path integral. Since the "theta term" imposes the Gauss law constraint on the physical state but contributes to neither the mass operator nor the constraints associated with the kappa symmetry and the reparametrization, this exact equivalence implies that the impossibility to disentangle the first and second class fermionic constraints covariantly in the super D-string action is generally inherited from the IIB Green-Schwarz superstring action except specific gauge choices which make the ground state massive, such as the static gauge. Moreover, it is shown that if the electric field is quantized to be integers, the super D-string action can be transformed to the IIB Green-Schwarz superstring action with $SL(2, Z)$ covariant tension.

[ { "created": "Sun, 22 Feb 1998 03:34:01 GMT", "version": "v1" }, { "created": "Sun, 8 Mar 1998 02:02:04 GMT", "version": "v2" } ]

2009-10-31

[ [ "Oda", "Ichiro", "", "Edogawa Univ." ] ]

We show that the super D-string action is exactly equivalent to the IIB Green-Schwarz superstring action with some "theta term" in terms of the path integral. Since the "theta term" imposes the Gauss law constraint on the physical state but contributes to neither the mass operator nor the constraints associated with the kappa symmetry and the reparametrization, this exact equivalence implies that the impossibility to disentangle the first and second class fermionic constraints covariantly in the super D-string action is generally inherited from the IIB Green-Schwarz superstring action except specific gauge choices which make the ground state massive, such as the static gauge. Moreover, it is shown that if the electric field is quantized to be integers, the super D-string action can be transformed to the IIB Green-Schwarz superstring action with $SL(2, Z)$ covariant tension.

9.818525

9.155306

10.773106

9.045833

9.674371

10.529312

9.603182

9.568909

9.288576

10.875877

9.303343

8.915899

9.823595

8.88989

9.130177

9.277804

9.183505

9.131977

9.095033

9.406435

9.196721

hep-th/9609043

Jorge Russo

J.G. Russo

Stability of the quantum supermembrane in a manifold with boundary

10 pages, harvmac (references added, minor changes)

Phys.Lett. B392 (1997) 49-54

10.1016/S0370-2693(96)01523-7

CERN-TH/96-251

hep-th

null

We point out an effect which may stabilize a supersymmetric membrane moving on a manifold with boundary, and lead to a light-cone Hamiltonian with a discrete spectrum of eigenvalues. The analysis is carried out explicitly for a closed supermembrane in the regularized $SU(N)$ matrix model version.

[ { "created": "Thu, 5 Sep 1996 10:50:38 GMT", "version": "v1" }, { "created": "Sun, 8 Sep 1996 17:15:48 GMT", "version": "v2" } ]

2009-10-30

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

We point out an effect which may stabilize a supersymmetric membrane moving on a manifold with boundary, and lead to a light-cone Hamiltonian with a discrete spectrum of eigenvalues. The analysis is carried out explicitly for a closed supermembrane in the regularized $SU(N)$ matrix model version.

20.013062

17.603165

19.821526

17.163599

16.037785

15.836946

18.332094

16.791595

16.343927

20.249592

15.073178

15.851364

18.037596

17.135248

16.048004

16.082827

15.859409

16.541075

16.656376

18.822657

15.931277

hep-th/0309170

Elie Gorbatov

Tom Banks, Michael Dine, Elie Gorbatov

Is There A String Theory Landscape

39 pages, Latex, ``Terminology surrounding the anthropic principle revised to conform with accepted usage. More history of the anthropic principle included. Various references added."

JHEP 0408:058,2004

10.1088/1126-6708/2004/08/058

SCIPP-2003/04

hep-th

null

We examine recent claims of a large set of flux compactification solutions of string theory. We conclude that the arguments for AdS solutions are plausible. The analysis of meta-stable dS solutions inevitably leads to situations where long distance effective field theory breaks down. We then examine whether these solutions are likely to lead to a description of the real world. We conclude that one must invoke a strong version of the anthropic principle. We explain why it is likely that this leads to a prediction of low energy supersymmetry breaking, but that many features of anthropically selected flux compactifications are likely to disagree with experiment.

[ { "created": "Wed, 17 Sep 2003 17:29:15 GMT", "version": "v1" }, { "created": "Sun, 16 Nov 2003 23:57:09 GMT", "version": "v2" } ]

2010-02-03

[ [ "Banks", "Tom", "" ], [ "Dine", "Michael", "" ], [ "Gorbatov", "Elie", "" ] ]

We examine recent claims of a large set of flux compactification solutions of string theory. We conclude that the arguments for AdS solutions are plausible. The analysis of meta-stable dS solutions inevitably leads to situations where long distance effective field theory breaks down. We then examine whether these solutions are likely to lead to a description of the real world. We conclude that one must invoke a strong version of the anthropic principle. We explain why it is likely that this leads to a prediction of low energy supersymmetry breaking, but that many features of anthropically selected flux compactifications are likely to disagree with experiment.

11.606572

10.262549

11.521483

10.24965

11.234439

10.309377

10.565044

10.789145

10.90874

12.432378

10.507636

10.575332

11.010711

10.167871

10.531383

10.553255

10.169107

10.658946

10.492944

11.062182

10.556643

hep-th/9310005

David Fairlie

D.B. Fairlie and J.A. Mulvey

Integrable Generalisations of the 2-dimensional Born Infeld Equation

11 pages, Latex, DTP/93/39

J.Phys. A27 (1994) 1317-1324

10.1088/0305-4470/27/4/024

null

hep-th

null

The Born-Infeld equation in two dimensions is generalised to higher dimensions whilst retaining Lorentz Invariance and complete integrability. This generalisation retains homogeneity in second derivatives of the field.

[ { "created": "Fri, 1 Oct 1993 14:25:12 GMT", "version": "v1" } ]

2009-10-22

[ [ "Fairlie", "D. B.", "" ], [ "Mulvey", "J. A.", "" ] ]

The Born-Infeld equation in two dimensions is generalised to higher dimensions whilst retaining Lorentz Invariance and complete integrability. This generalisation retains homogeneity in second derivatives of the field.

16.762213

13.080257

13.012081

12.950315

13.345231

13.619218

13.355608

13.109612

13.604835

15.495559

13.043603

14.381088

15.09006

14.185709

14.720937

13.759068

14.046264

14.22982

14.0498

15.833348

13.330457

hep-th/9912079

Andreas Recknagel

J. Froehlich, O. Grandjean, A. Recknagel, V. Schomerus

Fundamental strings in Dp-Dq brane systems

30 pages, Plain TeX, 2 ps-figures; references added

Nucl.Phys. B583 (2000) 381-410

10.1016/S0550-3213(00)00237-6

ETH-TH/99-29, HUTMP-99/B400, AEI-1999-39, DESY 99-179

hep-th

null

We study conformal field theory correlation functions relevant for string diagrams with open strings that stretch between several parallel branes of different dimensions. In the framework of conformal field theory, they involve boundary condition changing twist fields which intertwine between Neumann and Dirichlet conditions. A Knizhnik-Zamolodchikov-like differential equation for correlators of such boundary twist fields and ordinary string vertex operators is derived, and explicit integral formulas for its solutions are provided.

[ { "created": "Thu, 9 Dec 1999 19:07:53 GMT", "version": "v1" }, { "created": "Wed, 22 Dec 1999 13:45:29 GMT", "version": "v2" } ]

2009-10-31

[ [ "Froehlich", "J.", "" ], [ "Grandjean", "O.", "" ], [ "Recknagel", "A.", "" ], [ "Schomerus", "V.", "" ] ]

We study conformal field theory correlation functions relevant for string diagrams with open strings that stretch between several parallel branes of different dimensions. In the framework of conformal field theory, they involve boundary condition changing twist fields which intertwine between Neumann and Dirichlet conditions. A Knizhnik-Zamolodchikov-like differential equation for correlators of such boundary twist fields and ordinary string vertex operators is derived, and explicit integral formulas for its solutions are provided.

11.084216

10.566929

12.713332

10.534268

10.396829

9.984684

10.628631

9.809046

10.662458

13.787029

10.40081

10.171751

10.805438

9.874704

10.315934

10.042316

9.925267

9.903719

9.816471

10.748683

9.933393

0807.2352

Asato Tsuchiya

Takaaki Ishii, Goro Ishiki, Shinji Shimasaki, Asato Tsuchiya

N=4 Super Yang-Mills from the Plane Wave Matrix Model

39 pages, 6 figures, some sentences are improved, references added, typos corrected, version to appear in PRD

Phys.Rev.D78:106001,2008

10.1103/PhysRevD.78.106001

OU-HET 608, KEK-TH-1258

hep-th

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

We propose a nonperturbative definition of N=4 super Yang-Mills (SYM). We realize N=4 SYM on RxS^3 as the theory around a vacuum of the plane wave matrix model. Our regularization preserves sixteen supersymmetries and the gauge symmetry. We perform the 1-loop calculation to give evidences that the superconformal symmetry is restored in the continuum limit.

[ { "created": "Tue, 15 Jul 2008 11:48:06 GMT", "version": "v1" }, { "created": "Mon, 28 Jul 2008 01:52:35 GMT", "version": "v2" }, { "created": "Mon, 3 Nov 2008 13:50:07 GMT", "version": "v3" } ]

2008-11-26

[ [ "Ishii", "Takaaki", "" ], [ "Ishiki", "Goro", "" ], [ "Shimasaki", "Shinji", "" ], [ "Tsuchiya", "Asato", "" ] ]

We propose a nonperturbative definition of N=4 super Yang-Mills (SYM). We realize N=4 SYM on RxS^3 as the theory around a vacuum of the plane wave matrix model. Our regularization preserves sixteen supersymmetries and the gauge symmetry. We perform the 1-loop calculation to give evidences that the superconformal symmetry is restored in the continuum limit.

8.396564

6.555079

9.358606

6.356874

6.873671

7.683703

6.529927

7.008554

6.998657

9.135566

6.783329

7.353767

8.015965

7.006666

7.141521

7.414836

7.64703

7.168105

7.425333

8.073269

7.427226

hep-th/9212017

null

H. Lu, B.E.W. Nilsson, C.N. Pope, K.S. Stelle and P.C. West

The Low-level Spectrum of the $W_3$ String

31 pages, Plain Tex, CTP TAMU-70/92, Goteborg ITP 92-43, Imperial/TP/91-92/22, KCL-TH-92-8

Int.J.Mod.Phys.A8:4071-4102,1993

10.1142/S0217751X93001673

null

hep-th

null

We investigate the spectrum of physical states in the $W_3$ string theory, up to level 2 for a multi-scalar string, and up to level 4 for the two-scalar string. The (open) $W_3$ string has a photon as its only massless state. By using screening charges to study the null physical states in the two-scalar $W_3$ string, we are able to learn about the gauge symmetries of the states in the multi-scalar $W_3$ string.

[ { "created": "Wed, 2 Dec 1992 17:15:30 GMT", "version": "v1" } ]

2009-10-07

[ [ "Lu", "H.", "" ], [ "Nilsson", "B. E. W.", "" ], [ "Pope", "C. N.", "" ], [ "Stelle", "K. S.", "" ], [ "West", "P. C.", "" ] ]

We investigate the spectrum of physical states in the $W_3$ string theory, up to level 2 for a multi-scalar string, and up to level 4 for the two-scalar string. The (open) $W_3$ string has a photon as its only massless state. By using screening charges to study the null physical states in the two-scalar $W_3$ string, we are able to learn about the gauge symmetries of the states in the multi-scalar $W_3$ string.

8.402806

7.214171

8.177318

7.311641

7.346542

7.173228

7.437765

7.079069

6.797914

8.289686

6.647053

6.994228

8.058477

7.183371

7.249851

7.504463

7.31255

6.784796

7.215948

7.972065

6.852943

hep-th/9903168

Luiz Agostinho Ferreira

Orlando Alvarez, L.A. Ferreira and J. Sanchez Guillen

Integrable theories in any dimension: a perspective

Invited talk at the Meeting ''Trends in Theoretical Physics II'', Buenos Aires, Argentina, December 1998

null

10.1063/1.59672

null

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

null

We review the developments of a recently proposed approach to study integrable theories in any dimension. The basic idea consists in generalizing the zero curvature representation for two-dimensional integrable models to space-times of dimension $d+1$ by the introduction of a $d$-form connection. The method has been used to study several theories of physical interest, like self-dual Yang-Mills theories, Bogomolny equations, non-linear sigma models and Skyrme-type models. The local version of the generalized zero curvature involves a Lie algebra and a representation of it, leading to a number of conservation laws equal to the dimension of that representation. We discuss the conditions a given theory has to satisfy in order for its associated zero curvature to admit an infinite dimensional (reducible) representation. We also present the theory in the more abstract setting of the space of loops, which gives a deeper understanding and a more simple formulation of integrability in any dimension.

[ { "created": "Fri, 19 Mar 1999 19:08:22 GMT", "version": "v1" } ]

2009-10-31

[ [ "Alvarez", "Orlando", "" ], [ "Ferreira", "L. A.", "" ], [ "Guillen", "J. Sanchez", "" ] ]

We review the developments of a recently proposed approach to study integrable theories in any dimension. The basic idea consists in generalizing the zero curvature representation for two-dimensional integrable models to space-times of dimension $d+1$ by the introduction of a $d$-form connection. The method has been used to study several theories of physical interest, like self-dual Yang-Mills theories, Bogomolny equations, non-linear sigma models and Skyrme-type models. The local version of the generalized zero curvature involves a Lie algebra and a representation of it, leading to a number of conservation laws equal to the dimension of that representation. We discuss the conditions a given theory has to satisfy in order for its associated zero curvature to admit an infinite dimensional (reducible) representation. We also present the theory in the more abstract setting of the space of loops, which gives a deeper understanding and a more simple formulation of integrability in any dimension.

8.292826

8.481297

8.40428

7.888605

7.870873

7.926427

7.586584

7.68057

7.461229

9.099433

7.837357

7.677148

8.083113

7.767136

7.508037

7.587234

7.791596

7.622382

7.560448

8.242308

7.800732

hep-th/0108220

Axel Krause

Gottfried Curio and Axel Krause

G-Fluxes and Non-Perturbative Stabilisation of Heterotic M-Theory

32 pages, 6 figures, v2:references added, v3:emphasis on dominant open membranes, small gaugino condensation effects suppressed

Nucl.Phys. B643 (2002) 131-156

10.1016/S0550-3213(02)00752-6

HU-EP-01/31

hep-th

null

We examine heterotic M-theory compactified on a Calabi-Yau manifold with an additional parallel M5 brane. The dominant non-perturbative effect stems from open membrane instantons connecting the M5 with the boundaries. We derive the four-dimensional low-energy supergravity potential for this situation including subleading contributions as it turns out that the leading term vanishes after minimisation. At the minimum of the potential the M5 gets stabilised at the middle of the orbifold interval while the vacuum energy is shown to be manifestly positive. Moreover, induced by the non-trivial running of the Calabi-Yau volume along the orbifold which is driven by the G-fluxes, we find that the orbifold-length and the Calabi-Yau volume modulus are stabilised at values which are related by the G-flux of the visible boundary. Finally we determine the supersymmetry-breaking scale and the gravitino mass for this open membrane vacuum.

[ { "created": "Wed, 29 Aug 2001 18:51:19 GMT", "version": "v1" }, { "created": "Tue, 4 Sep 2001 16:28:30 GMT", "version": "v2" }, { "created": "Wed, 21 Aug 2002 12:26:21 GMT", "version": "v3" } ]

2010-04-05

[ [ "Curio", "Gottfried", "" ], [ "Krause", "Axel", "" ] ]

We examine heterotic M-theory compactified on a Calabi-Yau manifold with an additional parallel M5 brane. The dominant non-perturbative effect stems from open membrane instantons connecting the M5 with the boundaries. We derive the four-dimensional low-energy supergravity potential for this situation including subleading contributions as it turns out that the leading term vanishes after minimisation. At the minimum of the potential the M5 gets stabilised at the middle of the orbifold interval while the vacuum energy is shown to be manifestly positive. Moreover, induced by the non-trivial running of the Calabi-Yau volume along the orbifold which is driven by the G-fluxes, we find that the orbifold-length and the Calabi-Yau volume modulus are stabilised at values which are related by the G-flux of the visible boundary. Finally we determine the supersymmetry-breaking scale and the gravitino mass for this open membrane vacuum.

9.372906

10.047668

10.491868

9.140361

9.822485

9.511161

10.462353

9.041837

8.653947

10.741401

9.253105

9.612608

9.301702

9.378374

10.018557

9.573621

9.866392

9.816566

9.318679

9.329702

9.171906

1903.00109

Diego Pontello

Horacio Casini, Sergio Grillo and Diego Pontello

Relative entropy for coherent states from Araki formula

null

Phys. Rev. D 99, 125020 (2019)

10.1103/PhysRevD.99.125020

null

hep-th

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

We make a rigorous computation of the relative entropy between the vacuum state and a coherent state for a free scalar in the framework of AQFT. We study the case of the Rindler Wedge. Previous calculations including path integral methods and computations from the lattice, give a result for such relative entropy which involves integrals of expectation values of the energy-momentum stress tensor along the considered region. However, the stress tensor is in general non unique. That means that if we start with some stress tensor, then we can "improve" it adding a conserved term without modifying the Poincar\'e charges. On the other hand, the presence of such improving term affects the naive expectation for the relative entropy by a non vanishing boundary contribution along the entangling surface. In other words, this means that there is an ambiguity in the usual formula for the relative entropy coming from the non uniqueness of the stress tensor. The main motivation of this work is to solve this puzzle. We first show that all choices of stress tensor except the canonical one are not allowed by positivity and monotonicity of the relative entropy. Then we fully compute the relative entropy between the vacuum and a coherent state in the framework of AQFT using the Araki formula and the techniques of Modular theory. After all, both results coincides and give the usual expression for the relative entropy calculated with the canonical stress tensor.

[ { "created": "Thu, 28 Feb 2019 23:50:43 GMT", "version": "v1" }, { "created": "Wed, 20 Mar 2019 13:30:21 GMT", "version": "v2" }, { "created": "Thu, 4 Jul 2019 13:44:44 GMT", "version": "v3" } ]

2020-01-30

[ [ "Casini", "Horacio", "" ], [ "Grillo", "Sergio", "" ], [ "Pontello", "Diego", "" ] ]

We make a rigorous computation of the relative entropy between the vacuum state and a coherent state for a free scalar in the framework of AQFT. We study the case of the Rindler Wedge. Previous calculations including path integral methods and computations from the lattice, give a result for such relative entropy which involves integrals of expectation values of the energy-momentum stress tensor along the considered region. However, the stress tensor is in general non unique. That means that if we start with some stress tensor, then we can "improve" it adding a conserved term without modifying the Poincar\'e charges. On the other hand, the presence of such improving term affects the naive expectation for the relative entropy by a non vanishing boundary contribution along the entangling surface. In other words, this means that there is an ambiguity in the usual formula for the relative entropy coming from the non uniqueness of the stress tensor. The main motivation of this work is to solve this puzzle. We first show that all choices of stress tensor except the canonical one are not allowed by positivity and monotonicity of the relative entropy. Then we fully compute the relative entropy between the vacuum and a coherent state in the framework of AQFT using the Araki formula and the techniques of Modular theory. After all, both results coincides and give the usual expression for the relative entropy calculated with the canonical stress tensor.

9.226183

8.398014

9.413881

8.387911

8.337432

8.750558

8.708715

8.529896

8.38057

9.484682

8.318964

8.458333

8.690993

8.557014

8.565696

8.225441

8.366518

8.5589

8.530993

8.95705

8.522753

hep-th/0107085

Bayram Tekin

Fluctuations of a (Tensionless) Brane World

9 pages

null

OUTP-01-39-P

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

null

We compute the quantum fluctuations of a 3-brane with tension, energy density and stiffness. As a result of the fluctuations there are induced forces between massive objects living on the brane. We study various limiting cases of the induced potential between 2 and 3 massive objects. One quite interesting finding is that for tensionless brane world there are universal (mass independent) $1/r^3$ forces between the objects on the brane. These forces are in principle measurable.

[ { "created": "Tue, 10 Jul 2001 20:11:26 GMT", "version": "v1" } ]

2007-05-23

[ [ "Tekin", "Bayram", "" ] ]

We compute the quantum fluctuations of a 3-brane with tension, energy density and stiffness. As a result of the fluctuations there are induced forces between massive objects living on the brane. We study various limiting cases of the induced potential between 2 and 3 massive objects. One quite interesting finding is that for tensionless brane world there are universal (mass independent) $1/r^3$ forces between the objects on the brane. These forces are in principle measurable.

12.329891

10.351007

11.21905

10.423817

11.008688

10.160917

11.421479

10.488567

10.243613

11.216499

10.844419

10.717935

11.11007

10.899589

10.748177

10.850095

10.511462

10.538444

10.793254

11.075422

10.355021

hep-th/9210084

null

G.L. Rossini and F.A. Schaposnik

Fermionic Coset Models as Topological Models

14pp

Mod.Phys.Lett. A9 (1994) 193-204

10.1142/S0217732394000216

null

hep-th

null

By considering the fermionic realization of $G/H$ coset models, we show that the partition function for the $U(1)/U(1)$ model defines a Topological Quantum Field Theory and coincides with that for a 2-dimensional Abelian BF system. In the non-Abelian case, we prove the topological character of $G/G$ coset models by explicit computation, also finding a natural extension of 2-dimensional BF systems with non-Abelian symmetry.

[ { "created": "Fri, 16 Oct 1992 00:27:08 GMT", "version": "v1" } ]

2015-06-26

[ [ "Rossini", "G. L.", "" ], [ "Schaposnik", "F. A.", "" ] ]

By considering the fermionic realization of $G/H$ coset models, we show that the partition function for the $U(1)/U(1)$ model defines a Topological Quantum Field Theory and coincides with that for a 2-dimensional Abelian BF system. In the non-Abelian case, we prove the topological character of $G/G$ coset models by explicit computation, also finding a natural extension of 2-dimensional BF systems with non-Abelian symmetry.

9.39631

6.768482

9.401245

7.20461

7.077237

7.352723

7.433064

7.349147

7.249855

10.169505

7.096569

7.70915

9.274438

8.235592

7.882015

7.931809

7.793412

7.68391

7.65142

9.274565

7.451266

hep-th/9812050

Horikoshi Atsushi

Ken-Ichi Aoki, Atsushi Horikoshi, Masaki Taniguchi and Haruhiko Terao (Kanazawa University)

Non-Perturbative Renormalization Group and Quantum Tunnelling

Latex 9 pages, 12 eps figures, to be published in the Proceedings of the Workshop on the Exact Renormalization Group held in Faro, Portugal, in September 10-12 1998, World Scientific

null

KANAZAWA/98-22

hep-th hep-ph quant-ph

null

The non-perturbative renormalization group (NPRG) is applied to analysis of tunnelling in quantum mechanics. The vacuum energy and the energy gap of anharmonic oscillators are evaluated by solving the local potential approximated Wegner-Houghton equation (LPA W-H eqn.). We find that our results are very good in a strong coupling region, but not in a very weak coupling region, where the dilute gas instanton calculation works very well. So it seems that in analysis of quantum tunnelling, the dilute gas instanton and LPA W-H eqn. play complementary roles to each other. We also analyze the supersymmetric quantum mechanics and see if the dynamical supersymmetry (SUSY) breaking is described by NPRG method.

[ { "created": "Sun, 6 Dec 1998 10:04:32 GMT", "version": "v1" } ]

2007-05-23

[ [ "Aoki", "Ken-Ichi", "", "Kanazawa University" ], [ "Horikoshi", "Atsushi", "", "Kanazawa University" ], [ "Taniguchi", "Masaki", "", "Kanazawa University" ], [ "Terao", "Haruhiko", "", "Kanazawa University" ] ]

The non-perturbative renormalization group (NPRG) is applied to analysis of tunnelling in quantum mechanics. The vacuum energy and the energy gap of anharmonic oscillators are evaluated by solving the local potential approximated Wegner-Houghton equation (LPA W-H eqn.). We find that our results are very good in a strong coupling region, but not in a very weak coupling region, where the dilute gas instanton calculation works very well. So it seems that in analysis of quantum tunnelling, the dilute gas instanton and LPA W-H eqn. play complementary roles to each other. We also analyze the supersymmetric quantum mechanics and see if the dynamical supersymmetry (SUSY) breaking is described by NPRG method.

7.03056

6.824625

7.25005

6.176277

7.627082

7.481423

6.837769

6.414683

6.583066

7.881682

6.722217

6.997425

7.159177

6.975281

6.711771

6.623003

6.972462

6.691156

6.685834

7.150607

6.820357

hep-th/0204109

K. Lee

Chanju Kim (SNU), Kimyeong Lee (KIAS), Sang-Heon Yi (SNU)

Tales of D0 on D6 Branes: Matrix Mechanics of Identical Particles

a latex file, 11 page, no figure

Phys.Lett. B543 (2002) 107-114

10.1016/S0370-2693(02)02390-0

KIAS-P02022, SNUTP-02009

hep-th

null

We investigate a class of matrix model which describes the dynamics of identical particles in even dimentional space. We show that the degrees of freedom after some constraints are implimented is proportional to particle number and consist of those for positions and internal degrees. The particle dynamics is given by the metric on the smooth moduli space. The moduli space metric for two particles is found. The size of tightly packed $N$ particles grows like $\sqrt{N}$. Our matrix model is related to the matrix model for fractional quantum Hall effect, the ADHM formalism of U(1) instantons on noncommutative space, and supersymmetric D0 branes on D6 branes with nonzero B-field in type IIA theory.

[ { "created": "Sat, 13 Apr 2002 13:07:37 GMT", "version": "v1" } ]

2009-11-07

[ [ "Kim", "Chanju", "", "SNU" ], [ "Lee", "Kimyeong", "", "KIAS" ], [ "Yi", "Sang-Heon", "", "SNU" ] ]

We investigate a class of matrix model which describes the dynamics of identical particles in even dimentional space. We show that the degrees of freedom after some constraints are implimented is proportional to particle number and consist of those for positions and internal degrees. The particle dynamics is given by the metric on the smooth moduli space. The moduli space metric for two particles is found. The size of tightly packed $N$ particles grows like $\sqrt{N}$. Our matrix model is related to the matrix model for fractional quantum Hall effect, the ADHM formalism of U(1) instantons on noncommutative space, and supersymmetric D0 branes on D6 branes with nonzero B-field in type IIA theory.

12.69678

10.944362

12.570578

12.105991

11.851173

11.775413

11.160457

11.200934

11.28727

14.447392

11.222414

11.433093

11.907899

11.371118

11.57232

11.528741

11.488137

11.639832

11.087681

12.446777

11.47569

2311.01232

Alex Miranda

Saulo M. Diles, Alex S. Miranda, Luis A. H. Mamani, Alex M. Echemendia, and Vilson T. Zanchin

Third-order relativistic fluid dynamics at finite density in a general hydrodynamic frame

26 pages; v3: minor revisions, submitted to PRD

null

hep-th gr-qc hep-ph nucl-th physics.flu-dyn

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

The motion of water is governed by the Navier-Stokes equations, which are complemented by the continuity equation to ensure local mass conservation. In this work, we construct the relativistic generalization of these equations through a gradient expansion for a fluid with conserved charge in a curved $d$-dimensional spacetime. We adopt a general hydrodynamic frame approach and introduce the Irreducible-Structure (IS) algorithm, which is based on derivatives of both the expansion scalar and the shear and vorticity tensors. By this method, we systematically generate all permissible gradients up to a specified order and derive the most comprehensive constitutive relations for a charged fluid, accurate to third-order gradients. These constitutive relations are formulated to apply to ordinary, non-conformal, and conformally invariant charged fluids. Furthermore, we examine the hydrodynamic frame dependence of the transport coefficients for a non-conformal charged fluid up to the third order in the gradient expansion. The frame dependence of the scalar, vector, and tensor parts of the constitutive relations is obtained in terms of the field redefinitions of the fundamental hydrodynamic variables. Managing these frame dependencies is challenging due to their non-linear character. However, in the linear regime, these higher-order transformations become tractable, enabling the identification of a set of frame-invariant coefficients. An advantage of employing these coefficients is the possibility of studying the linear equations of motion in any chosen frame and, hence, we apply this approach to the Landau frame. Subsequently, these linear equations are solved in momentum space, yielding dispersion relations for shear, sound, and diffusive modes for a non-conformal charged fluid, expressed in terms of the frame-invariant transport coefficients.

[ { "created": "Thu, 2 Nov 2023 13:33:18 GMT", "version": "v1" }, { "created": "Mon, 6 Nov 2023 18:53:45 GMT", "version": "v2" }, { "created": "Wed, 6 Dec 2023 14:40:27 GMT", "version": "v3" } ]

2023-12-07

[ [ "Diles", "Saulo M.", "" ], [ "Miranda", "Alex S.", "" ], [ "Mamani", "Luis A. H.", "" ], [ "Echemendia", "Alex M.", "" ], [ "Zanchin", "Vilson T.", "" ] ]

The motion of water is governed by the Navier-Stokes equations, which are complemented by the continuity equation to ensure local mass conservation. In this work, we construct the relativistic generalization of these equations through a gradient expansion for a fluid with conserved charge in a curved $d$-dimensional spacetime. We adopt a general hydrodynamic frame approach and introduce the Irreducible-Structure (IS) algorithm, which is based on derivatives of both the expansion scalar and the shear and vorticity tensors. By this method, we systematically generate all permissible gradients up to a specified order and derive the most comprehensive constitutive relations for a charged fluid, accurate to third-order gradients. These constitutive relations are formulated to apply to ordinary, non-conformal, and conformally invariant charged fluids. Furthermore, we examine the hydrodynamic frame dependence of the transport coefficients for a non-conformal charged fluid up to the third order in the gradient expansion. The frame dependence of the scalar, vector, and tensor parts of the constitutive relations is obtained in terms of the field redefinitions of the fundamental hydrodynamic variables. Managing these frame dependencies is challenging due to their non-linear character. However, in the linear regime, these higher-order transformations become tractable, enabling the identification of a set of frame-invariant coefficients. An advantage of employing these coefficients is the possibility of studying the linear equations of motion in any chosen frame and, hence, we apply this approach to the Landau frame. Subsequently, these linear equations are solved in momentum space, yielding dispersion relations for shear, sound, and diffusive modes for a non-conformal charged fluid, expressed in terms of the frame-invariant transport coefficients.

8.596878

9.279129

8.762902

8.173092

8.855374

8.744854

8.949645

8.920544

8.884459

9.402343

8.653365

8.529287

8.433788

8.246498

8.378662

8.412314

8.425219

8.352971

8.326568

8.444079

8.260464

0812.2158

Danilo Diaz

Danilo E. D\'iaz

Holographic formula for the determinant of the scattering operator in thermal AdS

11 pages, published JPA version

J.Phys.A42:365401,2009

10.1088/1751-8113/42/36/365401

null

hep-th gr-qc math.DG

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

A 'holographic formula' expressing the functional determinant of the scattering operator in an asymptotically locally anti-de Sitter(ALAdS) space has been proposed in terms of a relative functional determinant of the scalar Laplacian in the bulk. It stems from considerations in AdS/CFT correspondence of a quantum correction to the partition function in the bulk and the corresponding subleading correction at large N on the boundary. In this paper we probe this prediction for a class of quotients of hyperbolic space by a discrete subgroup of isometries. We restrict to the simplest situation of an abelian group where the quotient geometry describes thermal AdS and also the non-spinning BTZ instanton. The bulk computation is explicitly done using the method of images and the answer can be encoded in a (Patterson-)Selberg zeta-function.

[ { "created": "Thu, 11 Dec 2008 14:41:43 GMT", "version": "v1" }, { "created": "Sat, 10 Jan 2009 21:27:15 GMT", "version": "v2" }, { "created": "Wed, 26 Aug 2009 15:30:41 GMT", "version": "v3" } ]

2009-09-28

[ [ "Díaz", "Danilo E.", "" ] ]

A 'holographic formula' expressing the functional determinant of the scattering operator in an asymptotically locally anti-de Sitter(ALAdS) space has been proposed in terms of a relative functional determinant of the scalar Laplacian in the bulk. It stems from considerations in AdS/CFT correspondence of a quantum correction to the partition function in the bulk and the corresponding subleading correction at large N on the boundary. In this paper we probe this prediction for a class of quotients of hyperbolic space by a discrete subgroup of isometries. We restrict to the simplest situation of an abelian group where the quotient geometry describes thermal AdS and also the non-spinning BTZ instanton. The bulk computation is explicitly done using the method of images and the answer can be encoded in a (Patterson-)Selberg zeta-function.

11.281311

11.142917

11.607569

11.172269

10.642994

11.327363

11.220046

11.145294

10.897731

12.899564

10.388255

10.430465

10.746032

10.688149

10.503296

10.637875

10.816622

10.539618

10.901499

10.802278

10.575193

1203.5152

Marc Henneaux

Marc Henneaux, Gustavo Lucena G\'omez, Jaesung Park, Soo-Jong Rey

Super-W(infinity) Asymptotic Symmetry of Higher-Spin AdS(3) Supergravity

References added. (N>2)-Extended supersymmetric models argued to be rigid with respect to lambda-deformation. Comments on G(3)-case added

null

10.1007/JHEP06(2012)037

null

hep-th

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

We consider (2+1)-dimensional (N, M)-extended higher-spin anti-de Sitter supergravity and study its asymptotic symmetries. The theory is described by the Chern-Simons action based on a real, infinite-dimensional higher-spin superalgebra. We specify consistent boundary conditions on the higher-spin super-gauge connection corresponding to asymptotically anti-de Sitter spacetimes. We then determine the residual gauge transformations that preserve these asymptotic conditions and compute their Poisson bracket algebra. We find that the asymptotic symmetry is enhanced from the higher-spin superalgebra to some (N,M)-extended super-W(infinity) nonlinear superalgebra. The latter has the same classical central charge as pure Einstein gravity. Special attention is paid to the (1,1)-case. Truncation to the bosonic sector yields the previously found W(infinity) algebra, while truncation to the underlying finite-dimensional superalgebra reproduces the N-extended superconformal algebra (in its nonlinear version for N>2). We discuss string theory realization of these higher-spin anti-de Sitter supergravity theories as well as relations to previous treatments of super-W(infinity) in the literature.

[ { "created": "Fri, 23 Mar 2012 01:51:29 GMT", "version": "v1" }, { "created": "Thu, 19 Apr 2012 15:05:05 GMT", "version": "v2" } ]

2015-06-04

[ [ "Henneaux", "Marc", "" ], [ "Gómez", "Gustavo Lucena", "" ], [ "Park", "Jaesung", "" ], [ "Rey", "Soo-Jong", "" ] ]

We consider (2+1)-dimensional (N, M)-extended higher-spin anti-de Sitter supergravity and study its asymptotic symmetries. The theory is described by the Chern-Simons action based on a real, infinite-dimensional higher-spin superalgebra. We specify consistent boundary conditions on the higher-spin super-gauge connection corresponding to asymptotically anti-de Sitter spacetimes. We then determine the residual gauge transformations that preserve these asymptotic conditions and compute their Poisson bracket algebra. We find that the asymptotic symmetry is enhanced from the higher-spin superalgebra to some (N,M)-extended super-W(infinity) nonlinear superalgebra. The latter has the same classical central charge as pure Einstein gravity. Special attention is paid to the (1,1)-case. Truncation to the bosonic sector yields the previously found W(infinity) algebra, while truncation to the underlying finite-dimensional superalgebra reproduces the N-extended superconformal algebra (in its nonlinear version for N>2). We discuss string theory realization of these higher-spin anti-de Sitter supergravity theories as well as relations to previous treatments of super-W(infinity) in the literature.

6.395506

6.283403

7.593383

6.246319

6.949211

6.29656

6.330529

6.209743

6.714324

8.052479

6.112561

6.381143

6.295328

6.065146

6.188904

6.30699

6.290092

6.073406

6.025478

6.324991

5.999928

0706.3991

Riccardo Argurio

Riccardo Argurio, Cyril Closset

A Quiver of Many Runaways

20+12 pages, 3 figures

JHEP 0709:080,2007

10.1088/1126-6708/2007/09/080

null

hep-th

null

We study the quantum corrections to the moduli space of the quiver gauge theory corresponding to regular and fractional D3-branes at the dP_1 singularity. We find that besides the known runaway behavior at the lowest step of the duality cascade, there is a runaway direction along a mesonic branch at every higher step of the cascade. Moreover, the algebra of the chiral operators which obtain the large expectation values is such that we reproduce Altmann's first order deformation of the dP_1 cone.

[ { "created": "Wed, 27 Jun 2007 09:56:05 GMT", "version": "v1" } ]

2009-11-18

[ [ "Argurio", "Riccardo", "" ], [ "Closset", "Cyril", "" ] ]

We study the quantum corrections to the moduli space of the quiver gauge theory corresponding to regular and fractional D3-branes at the dP_1 singularity. We find that besides the known runaway behavior at the lowest step of the duality cascade, there is a runaway direction along a mesonic branch at every higher step of the cascade. Moreover, the algebra of the chiral operators which obtain the large expectation values is such that we reproduce Altmann's first order deformation of the dP_1 cone.

12.129624

10.870173

14.292896

10.592945

11.772289

12.081483

11.521419

10.645909

10.456544

15.749487

11.097913

10.465095

12.151082

10.653917

10.832969

10.407477

10.814971

10.71592

10.446405

13.190576

10.438457

1406.2329

Julian Sonner

Julian Sonner, Adolfo del Campo and Wojciech H. Zurek

Universal far-from-equilibrium Dynamics of a Holographic Superconductor

33 pages; 8 figures

Nature Communications 6, 7406 (2015)

10.1038/ncomms8406

MIT-CTP 4553; LA-UR-14-24054

hep-th cond-mat.str-el

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

Symmetry breaking phase transitions are an example of non-equilibrium processes that require real time treatment, a major challenge in strongly coupled systems without long-lived quasiparticles. Holographic duality provides such an approach by mapping strongly coupled field theories in D dimensions into weakly coupled quantum gravity in D+1 anti-de Sitter spacetime. Here, we use holographic duality to study formation of topological defects -- winding numbers -- in the course of a superconducting transition in a strongly coupled theory in a 1D ring. When the system undergoes the transition on a given quench time, the condensate builds up with a delay that can be deduced using the Kibble-Zurek mechanism from the quench time and the universality class of the theory, as determined from the quasinormal mode spectrum of the dual model. Typical winding numbers deposited in the ring exhibit a universal fractional power law dependence on the quench time, also predicted by the Kibble-Zurek Mechanism.

[ { "created": "Mon, 9 Jun 2014 20:00:11 GMT", "version": "v1" }, { "created": "Fri, 26 Jun 2015 17:04:45 GMT", "version": "v2" } ]

2015-06-29

[ [ "Sonner", "Julian", "" ], [ "del Campo", "Adolfo", "" ], [ "Zurek", "Wojciech H.", "" ] ]

Symmetry breaking phase transitions are an example of non-equilibrium processes that require real time treatment, a major challenge in strongly coupled systems without long-lived quasiparticles. Holographic duality provides such an approach by mapping strongly coupled field theories in D dimensions into weakly coupled quantum gravity in D+1 anti-de Sitter spacetime. Here, we use holographic duality to study formation of topological defects -- winding numbers -- in the course of a superconducting transition in a strongly coupled theory in a 1D ring. When the system undergoes the transition on a given quench time, the condensate builds up with a delay that can be deduced using the Kibble-Zurek mechanism from the quench time and the universality class of the theory, as determined from the quasinormal mode spectrum of the dual model. Typical winding numbers deposited in the ring exhibit a universal fractional power law dependence on the quench time, also predicted by the Kibble-Zurek Mechanism.

9.134337

9.513781

9.811653

8.676893

9.180893

9.93879

9.482153

9.299246

9.066588

10.104238

9.110912

8.764227

8.94978

8.799096

9.173414

8.900839

8.656124

8.742652

8.762646

8.892832

8.788623

1304.1798

Ben Hoare

Lorenzo Bianchi, Valentina Forini, Ben Hoare

Two-dimensional S-matrices from unitarity cuts

23 pages, 1 figure; v2: 24 pages, minor corrections, reference and note added; v3: minor typos corrected

null

10.1007/JHEP07(2013)088

HU-EP-13/17

hep-th

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

Using unitarity methods, we compute, for several massive two-dimensional models, the cut-constructible part of the one-loop 2->2 scattering S-matrices from the tree-level amplitudes. We apply our method to various integrable theories, finding evidence that for supersymmetric models the one-loop S-matrix is cut-constructible, while for models without supersymmetry (but with integrability) the missing rational terms are proportional to the tree-level S-matrix and therefore can be interpreted as a shift in the coupling. Finally, applying our procedure to the world-sheet theory for the light-cone gauge-fixed AdS_5 x S^5 superstring we reproduce, at one-loop in the near-BMN expansion, the S-matrix known from integrability techniques.

[ { "created": "Fri, 5 Apr 2013 19:56:39 GMT", "version": "v1" }, { "created": "Sun, 30 Jun 2013 10:23:34 GMT", "version": "v2" }, { "created": "Wed, 18 Jun 2014 23:37:01 GMT", "version": "v3" } ]

2015-06-15

[ [ "Bianchi", "Lorenzo", "" ], [ "Forini", "Valentina", "" ], [ "Hoare", "Ben", "" ] ]

Using unitarity methods, we compute, for several massive two-dimensional models, the cut-constructible part of the one-loop 2->2 scattering S-matrices from the tree-level amplitudes. We apply our method to various integrable theories, finding evidence that for supersymmetric models the one-loop S-matrix is cut-constructible, while for models without supersymmetry (but with integrability) the missing rational terms are proportional to the tree-level S-matrix and therefore can be interpreted as a shift in the coupling. Finally, applying our procedure to the world-sheet theory for the light-cone gauge-fixed AdS_5 x S^5 superstring we reproduce, at one-loop in the near-BMN expansion, the S-matrix known from integrability techniques.

7.289365

6.442319

8.021697

6.832797

7.179832

7.101735

6.902977

6.436236

6.634974

8.44473

6.660117

6.886352

7.057117

6.730685

6.836685

6.908763

7.122233

6.628143

6.752179

7.470367

6.772269

1601.02660

Daniel Robbins

Katrin Becker, Melanie Becker, Daniel Robbins and Ning Su

Three-Point Disc Amplitudes in the RNS Formalism

40 pages

null

10.1016/j.nuclphysb.2016.03.038

MI-TH-1604

hep-th

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

We calculate all tree level string theory vacuum to Dp-brane disc amplitudes involving an arbitrary RR-state and two NS-NS vertex operators. This computation was earlier performed by K. Becker, Guo, and Robbins for the simplest case of a RR-state of type C_{p-3}. Here we use the aid of a computer to calculate all possible three-point amplitudes involving a RR-vertex operator of type C_{p+1+2k}.

[ { "created": "Mon, 11 Jan 2016 21:38:15 GMT", "version": "v1" } ]

2016-05-04

[ [ "Becker", "Katrin", "" ], [ "Becker", "Melanie", "" ], [ "Robbins", "Daniel", "" ], [ "Su", "Ning", "" ] ]

We calculate all tree level string theory vacuum to Dp-brane disc amplitudes involving an arbitrary RR-state and two NS-NS vertex operators. This computation was earlier performed by K. Becker, Guo, and Robbins for the simplest case of a RR-state of type C_{p-3}. Here we use the aid of a computer to calculate all possible three-point amplitudes involving a RR-vertex operator of type C_{p+1+2k}.

17.75123

15.986513

18.818653

15.503913

16.875706

17.367373

15.499475

18.711443

15.325921

19.546057

15.068788

17.110264

16.97464

15.867556

16.036097

15.955173

15.73368

15.596919

16.18462

16.464941

15.320168

hep-th/9206039

null

M. Leblanc, G. Lozano and H. Min

Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems

32 double-spaced pages

Annals Phys. 219 (1992) 328-348

10.1016/0003-4916(92)90350-U

null

hep-th

null

We study the nonrelativistic limit of the $N=2$ supersymmetric Chern-Simons matter system. We show that in addition to Galilean invariance the model admits a set of symmetries generated by fermionic charges, which can be interpreted as an {\it extended Galilean supersymmetry }. The system also possesses a hidden conformal invariance and then the full group of symmetries is the {\it extended superconformal Galilean} group. We also show that imposing extended superconformal Galilean symmetry determines the values of the coupling constants in such a way that their values in the bosonic sector agree with the values of Jackiw and Pi for which self-dual equation exist. We finally analyze the second quantized version of the model and the two-particle sector.

[ { "created": "Tue, 9 Jun 1992 17:32:49 GMT", "version": "v1" } ]

2015-06-26

[ [ "Leblanc", "M.", "" ], [ "Lozano", "G.", "" ], [ "Min", "H.", "" ] ]

We study the nonrelativistic limit of the $N=2$ supersymmetric Chern-Simons matter system. We show that in addition to Galilean invariance the model admits a set of symmetries generated by fermionic charges, which can be interpreted as an {\it extended Galilean supersymmetry }. The system also possesses a hidden conformal invariance and then the full group of symmetries is the {\it extended superconformal Galilean} group. We also show that imposing extended superconformal Galilean symmetry determines the values of the coupling constants in such a way that their values in the bosonic sector agree with the values of Jackiw and Pi for which self-dual equation exist. We finally analyze the second quantized version of the model and the two-particle sector.

7.201878

6.312106

6.919912

6.5323

6.476607

6.402993

6.677202

6.100032

6.493688

8.000349

6.497702

6.542932

7.488402

6.730006

6.819133

6.614289

6.699667

6.687548

6.868389

7.261341

6.720585

2308.00737

Hao Geng

Cameron V. Cogburn, A. Liam Fitzpatrick, Hao Geng

CFT and Lattice Correlators Near an RG Domain Wall between Minimal Models

24+19 pages, 11 figures; v2, more detailed numerical analysis added with a better matching with analytical results, references updated

null

hep-th cond-mat.stat-mech cond-mat.str-el cond-mat.supr-con

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

Conformal interfaces separating two conformal field theories (CFTs) provide maps between different CFTs, and naturally exist in nature as domain walls between different phases. One particularly interesting construction of a conformal interface is the renormalization group (RG) domain wall between CFTs. For a given Virasoro minimal model $\mathcal{M}_{k+3,k+2}$, an RG domain wall can be generated by a specific deformation which triggers an RG flow towards its adjacent Virasoro minimal model $\mathcal{M}_{k+2,k+1}$ with the deformation turned on over part of the space. An algebraic construction of this domain wall was proposed by Gaiotto in \cite{Gaiotto:2012np}. In this paper, we will provide a study of this RG domain wall for the minimal case $k=2$, which can be thought of as a nonperturbative check of the construction. In this case the wall is separating the Tricritical Ising Model (TIM) CFT and the Ising Model (IM) CFT. We will check the analytical results of correlation functions from the RG brane construction with the numerical density matrix renormalization group (DMRG) calculation using a lattice model proposed in \cite{Grover:2012bm,Grover:2013rc}, and find a perfect agreement. We comment on possible experimental realizations of this RG domain wall.

[ { "created": "Tue, 1 Aug 2023 18:00:00 GMT", "version": "v1" }, { "created": "Wed, 14 Feb 2024 19:01:43 GMT", "version": "v2" } ]

2024-02-16

[ [ "Cogburn", "Cameron V.", "" ], [ "Fitzpatrick", "A. Liam", "" ], [ "Geng", "Hao", "" ] ]

Conformal interfaces separating two conformal field theories (CFTs) provide maps between different CFTs, and naturally exist in nature as domain walls between different phases. One particularly interesting construction of a conformal interface is the renormalization group (RG) domain wall between CFTs. For a given Virasoro minimal model $\mathcal{M}_{k+3,k+2}$, an RG domain wall can be generated by a specific deformation which triggers an RG flow towards its adjacent Virasoro minimal model $\mathcal{M}_{k+2,k+1}$ with the deformation turned on over part of the space. An algebraic construction of this domain wall was proposed by Gaiotto in \cite{Gaiotto:2012np}. In this paper, we will provide a study of this RG domain wall for the minimal case $k=2$, which can be thought of as a nonperturbative check of the construction. In this case the wall is separating the Tricritical Ising Model (TIM) CFT and the Ising Model (IM) CFT. We will check the analytical results of correlation functions from the RG brane construction with the numerical density matrix renormalization group (DMRG) calculation using a lattice model proposed in \cite{Grover:2012bm,Grover:2013rc}, and find a perfect agreement. We comment on possible experimental realizations of this RG domain wall.

6.17126

6.654669

6.794694

6.177112

6.332914

6.435628

6.843065

6.350502

6.049724

7.155035

6.029762

5.915816

6.355228

5.947162

5.923152

6.183167

6.142133

6.052361

5.940924

6.289495

6.024472

1002.2454

Ion Vasile Vancea

M. A. Santos and I. V. Vancea

Entropic Law of Force, Emergent Gravity and the Uncertainty Principle

10 pages. Important discussion of the special relativistic case and the newtonian limit of the general relativistic case added. The paper has been reformatted. The authorship listing corrected. (It has been published by mistake out of order in the first version. We have been adhering to the Hardy-Littlewood Rule over the years.) Typos corrected. Four references added

null

10.1142/S0217732312500125

null

hep-th gr-qc physics.pop-ph quant-ph

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

The entropic formulation of the inertia and the gravity relies on quantum, geometrical and informational arguments. The fact that the results are completly classical is missleading. In this paper we argue that the entropic formulation provides new insights into the quantum nature of the inertia and the gravity. We use the entropic postulate to determine the quantum uncertainty in the law of inertia and in the law of gravity in the Newtonian Mechanics, the Special Relativity and in the General Relativity. These results are obtained by considering the most general quantum property of the matter represented by the Uncertainty Principle and by postulating an expression for the uncertainty of the entropy such that: i) it is the simplest quantum generalization of the postulate of the variation of the entropy and ii) it reduces to the variation of the entropy in the absence of the uncertainty.

[ { "created": "Fri, 12 Feb 2010 00:46:09 GMT", "version": "v1" }, { "created": "Sat, 27 Feb 2010 10:29:12 GMT", "version": "v2" }, { "created": "Wed, 26 Oct 2011 16:39:04 GMT", "version": "v3" } ]

2015-05-18

[ [ "Santos", "M. A.", "" ], [ "Vancea", "I. V.", "" ] ]

The entropic formulation of the inertia and the gravity relies on quantum, geometrical and informational arguments. The fact that the results are completly classical is missleading. In this paper we argue that the entropic formulation provides new insights into the quantum nature of the inertia and the gravity. We use the entropic postulate to determine the quantum uncertainty in the law of inertia and in the law of gravity in the Newtonian Mechanics, the Special Relativity and in the General Relativity. These results are obtained by considering the most general quantum property of the matter represented by the Uncertainty Principle and by postulating an expression for the uncertainty of the entropy such that: i) it is the simplest quantum generalization of the postulate of the variation of the entropy and ii) it reduces to the variation of the entropy in the absence of the uncertainty.

9.416757

10.155489

8.980405

8.744639

9.280643

9.3808

9.875507

9.640816

9.75375

9.105178

9.244814

9.333972

8.89037

9.109671

9.000962

9.276592

9.39852

9.046807

9.282696

8.975533

8.861837

hep-th/0405273

Jerzy Kowalski-Glikman

Introduction to Doubly Special Relativity

37 pages, submitted to Lecture Notes in Physics

Lect.NotesPhys.669:131-159,2005

10.1007/11377306_5

null

hep-th

null

In these notes, based on the lectures given at 40th Winter School on Theoretical Physics, I review some aspects of Doubly Special Relativity (DSR). In particular, I discuss relation between DSR and quantum gravity, the formal structure of DSR proposal based on $\kappa$-Poincar\'e algebra and non-commutative $\kappa$-Minkowski space-time, as well us some results and puzzles related to DSR phenomenology.

[ { "created": "Sat, 29 May 2004 10:45:08 GMT", "version": "v1" } ]

2009-11-10

[ [ "Kowalski-Glikman", "Jerzy", "" ] ]

In these notes, based on the lectures given at 40th Winter School on Theoretical Physics, I review some aspects of Doubly Special Relativity (DSR). In particular, I discuss relation between DSR and quantum gravity, the formal structure of DSR proposal based on $\kappa$-Poincar\'e algebra and non-commutative $\kappa$-Minkowski space-time, as well us some results and puzzles related to DSR phenomenology.

6.67592

5.351677

5.215564

5.250305

5.570119

5.425128

5.492363

5.241624

5.33166

5.857231

5.228424

5.391864

5.342005

5.22997

5.390506

5.301947

5.610785

5.088749

5.206406

5.134932

5.35254

2012.03320

Alexander Belavin

Alexander Belavin, Vladimir Belavin, Gleb Koshevoy

Periods of the multiple Berglund-Huebsch-Krawitz mirrors

Some important changes of the content and title, typos fixed

null

10.1007/s11005-021-01439-5

null

hep-th math-ph math.MP

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

We consider the multiple Calaby-Yau (CY) mirror phenomenon which appears in Berglund-H\"ubsch-Krawitz (BHK) mirror symmetry. We show that for any pair of Calabi--Yau orbifolds that are BHK mirrors of a loop--chain type pair of Calabi--Yau manifolds in the same weighted projective space the periods of the holomorphic nonvanishing form coincide.

[ { "created": "Sun, 6 Dec 2020 16:54:54 GMT", "version": "v1" }, { "created": "Tue, 25 May 2021 17:33:41 GMT", "version": "v2" } ]

2021-07-28

[ [ "Belavin", "Alexander", "" ], [ "Belavin", "Vladimir", "" ], [ "Koshevoy", "Gleb", "" ] ]

We consider the multiple Calaby-Yau (CY) mirror phenomenon which appears in Berglund-H\"ubsch-Krawitz (BHK) mirror symmetry. We show that for any pair of Calabi--Yau orbifolds that are BHK mirrors of a loop--chain type pair of Calabi--Yau manifolds in the same weighted projective space the periods of the holomorphic nonvanishing form coincide.

12.931368

10.449428

14.194344

9.743492

11.831027

11.416659

11.795397

10.601628

10.871719

15.21493

10.903474

9.797842

11.976611

10.012607

9.762674

9.993248

10.284245

9.686943

10.244539

11.551257

10.580455

hep-th/9504125

Funahashi Kunio

Kunio Funahashi, Taro Kashiwa, Shuji Nima and Seiji Sakoda

More about Path Integral for Spin

17 pages, latex, no figures

Nucl.Phys. B453 (1995) 508-528

10.1016/0550-3213(95)00453-Y

KYUSHU-HET-23

hep-th

null

Path integral for the $SU(2)$ spin system is reconsidered. We show that the Nielsen-Rohrlich(NR) formula is equivalent to the spin coherent state expression so that the phase space in the NR formalism is not topologically nontrivial. We also perform the WKB approximation in the NR formula and find that it gives the exact result.

[ { "created": "Tue, 25 Apr 1995 05:35:36 GMT", "version": "v1" } ]

2009-10-28

[ [ "Funahashi", "Kunio", "" ], [ "Kashiwa", "Taro", "" ], [ "Nima", "Shuji", "" ], [ "Sakoda", "Seiji", "" ] ]

Path integral for the $SU(2)$ spin system is reconsidered. We show that the Nielsen-Rohrlich(NR) formula is equivalent to the spin coherent state expression so that the phase space in the NR formalism is not topologically nontrivial. We also perform the WKB approximation in the NR formula and find that it gives the exact result.

13.532064

9.856428

11.015375

8.704192

10.215988

10.354013

9.957613

10.245008

9.81829

11.595545

9.796135

9.621343

9.404389

9.643305

9.590543

9.607254

9.521437

10.041631

9.422929

9.68464

9.961812

hep-th/0412199

Jeanine Pellet

J.F. Mathiot (LPC-Clermont)

Renormalized non-perturbative scalar and fermions models in Covariant Light Front Dynamics

null

Few Body Syst. 36 (2005) 173-176

10.1007/s00601-004-0096-5

null

hep-th

null

Within the framework of the Covariant formulation of Light-Front Dynamics, we develop a general non-perturbative renormalization scheme, based on the Fock decomposition of the state vector and its truncation. The explicit dependence of our formalism on the orientation of the light front, defined by a light-like four vector $\omega$, is essential in order to analyze the structure of the counterterms needed to renormalize the theory. We illustrate our framework for scalar and fermion models

[ { "created": "Fri, 17 Dec 2004 14:28:56 GMT", "version": "v1" } ]

2007-05-23

[ [ "Mathiot", "J. F.", "", "LPC-Clermont" ] ]

Within the framework of the Covariant formulation of Light-Front Dynamics, we develop a general non-perturbative renormalization scheme, based on the Fock decomposition of the state vector and its truncation. The explicit dependence of our formalism on the orientation of the light front, defined by a light-like four vector $\omega$, is essential in order to analyze the structure of the counterterms needed to renormalize the theory. We illustrate our framework for scalar and fermion models

10.107016

8.998949

9.015869

8.356112

9.67158

9.07552

9.585968

8.082263

7.198592

8.944208

8.868851

8.878614

8.591217

8.747292

8.544042

8.945931

9.07298

8.661801

8.172786

8.591681

8.654748

hep-th/9208013

null

M.D. Freeman and P. West

On the quantum KP hierarchy and its relation to the non-linear Schr\"odinger equation

16 pages, KCL-TH-92-2

Phys.Lett. B295 (1992) 59-66

10.1016/0370-2693(92)90089-M

null

hep-th

null

We establish a relation between the classical non-linear Schr\"odinger equation and the KP hierarchy, and we extend this relation to the quantum case by defining a quantum KP hierarchy. We present evidence that an integrable hierarchy of equations is obtained by quantizing the first Hamiltonian structure of the KdV equation. The connection between infinite-dimensional algebras and integrable models is discussed.

[ { "created": "Tue, 4 Aug 1992 08:23:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Freeman", "M. D.", "" ], [ "West", "P.", "" ] ]

We establish a relation between the classical non-linear Schr\"odinger equation and the KP hierarchy, and we extend this relation to the quantum case by defining a quantum KP hierarchy. We present evidence that an integrable hierarchy of equations is obtained by quantizing the first Hamiltonian structure of the KdV equation. The connection between infinite-dimensional algebras and integrable models is discussed.

7.047258

6.457189

7.231967

5.954596

6.003238

5.856539

6.271388

5.521915

5.605743

7.404131

5.796297

6.255687

7.174017

6.294013

6.198246

6.300719

6.420069

6.042553

6.173164

7.212195

6.130856

2401.04433

Hoang Nam Cao

Cao H. Nam

Non-singular cosmology from non-supersymmetric AdS instability conjecture

6 pages, 4 figures, new discussions added, Fig.2 modified, references added, version to be published in PRD

null

hep-th gr-qc hep-ph

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

We show that the non-supersymmetric AdS instability conjecture can point to how quantum gravity removes the initial Big Bang singularity, leading to a potential resolution for the past-incomplete inflationary universe. From the constraints on the dynamics of the universe realized as the nucleation of a thin-wall bubble mediating the decay of the non-supersymmetric AdS vacuum, we find the critical temperature $T_c$ and the critical scale factor $a_c$ for which the universe exists. These critical quantities are all finite and determined in terms of the parameters specifying the stringy 10D AdS vacuum solutions. Additionally, we derive the prediction of quantum gravity for $T_c$ and $a_c$ relying on the inflationary observations.

[ { "created": "Tue, 9 Jan 2024 08:56:51 GMT", "version": "v1" }, { "created": "Mon, 12 Aug 2024 16:01:06 GMT", "version": "v2" } ]

2024-08-13

[ [ "Nam", "Cao H.", "" ] ]

We show that the non-supersymmetric AdS instability conjecture can point to how quantum gravity removes the initial Big Bang singularity, leading to a potential resolution for the past-incomplete inflationary universe. From the constraints on the dynamics of the universe realized as the nucleation of a thin-wall bubble mediating the decay of the non-supersymmetric AdS vacuum, we find the critical temperature $T_c$ and the critical scale factor $a_c$ for which the universe exists. These critical quantities are all finite and determined in terms of the parameters specifying the stringy 10D AdS vacuum solutions. Additionally, we derive the prediction of quantum gravity for $T_c$ and $a_c$ relying on the inflationary observations.

14.007066

13.423396

13.736643

12.833087

12.441769

12.935808

12.926191

12.876908

13.270651

14.7318

12.476782

12.920042

12.849682

12.658346

12.906261

13.148793

13.182113

12.484094

13.203382

13.73401

13.001872

2201.03660

Kai Xu

Tristan C. Collins, Daniel Jafferis, Cumrun Vafa, Kai Xu, Shing-Tung Yau

On Upper Bounds in Dimension Gaps of CFT's

14 pages

null

hep-th

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

We consider CFT's arising from branes probing singularities of internal manifolds. We focus on holographic models with internal space including arbtirary Sasaki-Einstein manifolds coming from CY as well as arbitrary sphere quotients. In all these cases we show that there is a universal upper bound (depending only on the spacetime dimension) for the conformal dimension of the first non-trivial spin 2 operator in the dual CFT and a minimal diameter (in AdS units) for the internal space of the holographic dual and conjecture it holds for all CFT's.

[ { "created": "Mon, 10 Jan 2022 21:41:00 GMT", "version": "v1" } ]

2022-01-12

[ [ "Collins", "Tristan C.", "" ], [ "Jafferis", "Daniel", "" ], [ "Vafa", "Cumrun", "" ], [ "Xu", "Kai", "" ], [ "Yau", "Shing-Tung", "" ] ]

We consider CFT's arising from branes probing singularities of internal manifolds. We focus on holographic models with internal space including arbtirary Sasaki-Einstein manifolds coming from CY as well as arbitrary sphere quotients. In all these cases we show that there is a universal upper bound (depending only on the spacetime dimension) for the conformal dimension of the first non-trivial spin 2 operator in the dual CFT and a minimal diameter (in AdS units) for the internal space of the holographic dual and conjecture it holds for all CFT's.

10.398154

10.058599

10.433764

9.514557

10.569794

10.540406

10.555316

10.090556

9.948594

12.968411

10.134087

9.586249

10.089279

9.127421

9.597178

9.555511

9.684371

9.417817

9.460876

10.05145

9.394968

0704.0354

Dmitry I. Podolsky

D. Podolsky

General asymptotic solutions of the Einstein equations and phase transitions in quantum gravity

8 pages; reference added, acknoledgement added

null

HIP-2007-17/TH

hep-th gr-qc

null

We discuss generic properties of classical and quantum theories of gravity with a scalar field which are revealed at the vicinity of the cosmological singularity. When the potential of the scalar field is exponential and unbounded from below, the general solution of the Einstein equations has quasi-isotropic asymptotics near the singularity instead of the usual anisotropic Belinskii - Khalatnikov - Lifshitz (BKL) asymptotics. Depending on the strength of scalar field potential, there exist two phases of quantum gravity with scalar field: one with essentially anisotropic behavior of field correlation functions near the cosmological singularity, and another with quasi-isotropic behavior. The ``phase transition'' between the two phases is interpreted as the condensation of gravitons.

[ { "created": "Tue, 3 Apr 2007 09:42:49 GMT", "version": "v1" }, { "created": "Tue, 24 Apr 2007 10:45:13 GMT", "version": "v2" } ]

2007-05-23

[ [ "Podolsky", "D.", "" ] ]

We discuss generic properties of classical and quantum theories of gravity with a scalar field which are revealed at the vicinity of the cosmological singularity. When the potential of the scalar field is exponential and unbounded from below, the general solution of the Einstein equations has quasi-isotropic asymptotics near the singularity instead of the usual anisotropic Belinskii - Khalatnikov - Lifshitz (BKL) asymptotics. Depending on the strength of scalar field potential, there exist two phases of quantum gravity with scalar field: one with essentially anisotropic behavior of field correlation functions near the cosmological singularity, and another with quasi-isotropic behavior. The ``phase transition'' between the two phases is interpreted as the condensation of gravitons.

7.460574

7.987492

7.091632

6.967607

7.019057

7.471885

7.740312

6.866606

7.501081

7.28598

7.350918

7.536918

7.384467

7.166304

7.304575

7.519018

7.542083

7.208545

7.268394

7.232904

7.012359

hep-th/0005199

Kazuyuki Furuuchi

Equivalence of Projections as Gauge Equivalence on Noncommutative Space

19 pages, AMSLaTeX, v2: refined explanations, typos corrected

Commun.Math.Phys. 217 (2001) 579-593

10.1007/PL00005554

KEK-TH 695

hep-th math.QA

null

Projections play crucial roles in the ADHM construction on noncommutative $\R^4$. In this article a framework for the description of equivalence relations between projections is proposed. We treat the equivalence of projections as ``gauge equivalence'' on noncommutative space. We find an interesting application of this framework to the study of U(2) instanton on noncommutative $\R^4$: A zero winding number configuration with a hole at the origin is ``gauge equivalent'' to the noncommutative analog of the BPST instanton. Thus the ``gauge transformation'' in this case can be understood as a noncommutative resolution of the singular gauge transformation in ordinary $\R^4$.

[ { "created": "Mon, 22 May 2000 07:41:04 GMT", "version": "v1" }, { "created": "Thu, 1 Jun 2000 04:29:24 GMT", "version": "v2" } ]

2009-10-31

[ [ "Furuuchi", "Kazuyuki", "" ] ]

Projections play crucial roles in the ADHM construction on noncommutative $\R^4$. In this article a framework for the description of equivalence relations between projections is proposed. We treat the equivalence of projections as ``gauge equivalence'' on noncommutative space. We find an interesting application of this framework to the study of U(2) instanton on noncommutative $\R^4$: A zero winding number configuration with a hole at the origin is ``gauge equivalent'' to the noncommutative analog of the BPST instanton. Thus the ``gauge transformation'' in this case can be understood as a noncommutative resolution of the singular gauge transformation in ordinary $\R^4$.

8.518533

7.724716

8.860436

7.761129

7.767858

8.415572

7.973604

7.544814

7.997027

9.204384

7.415437

7.483027

8.404847

7.781849

7.507234

7.619768

7.309184

7.466585

8.071042

8.471445

7.834888

1211.6689

Ida G. Zadeh

Benjamin A. Burrington, Amanda W. Peet, Ida G. Zadeh

Twist-nontwist correlators in M^N/S_N orbifold CFTs

30 pages, 1 figure, additional reference added

null

10.1103/PhysRevD.87.106008

null

hep-th

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

We consider general 2D orbifold CFTs of the form M^N/S_N, with M a target space manifold and S_N the symmetric group, and generalize the Lunin-Mathur covering space technique in two ways. First, we consider excitations of twist operators by modes of fields that are not twisted by that operator, and show how to account for these excitations when computing correlation functions in the covering space. Second, we consider non-twist sector operators and show how to include the effects of these insertions in the covering space. We work two examples, one using a simple bosonic CFT, and one using the D1-D5 CFT at the orbifold point. We show that the resulting correlators have the correct form for a 2D CFT.

[ { "created": "Wed, 28 Nov 2012 18:06:33 GMT", "version": "v1" }, { "created": "Fri, 15 Feb 2013 01:44:19 GMT", "version": "v2" } ]

2015-06-12

[ [ "Burrington", "Benjamin A.", "" ], [ "Peet", "Amanda W.", "" ], [ "Zadeh", "Ida G.", "" ] ]

We consider general 2D orbifold CFTs of the form M^N/S_N, with M a target space manifold and S_N the symmetric group, and generalize the Lunin-Mathur covering space technique in two ways. First, we consider excitations of twist operators by modes of fields that are not twisted by that operator, and show how to account for these excitations when computing correlation functions in the covering space. Second, we consider non-twist sector operators and show how to include the effects of these insertions in the covering space. We work two examples, one using a simple bosonic CFT, and one using the D1-D5 CFT at the orbifold point. We show that the resulting correlators have the correct form for a 2D CFT.

7.949418

7.58246

8.652205

7.128521

7.189911

7.792388

7.653968

7.610703

7.467309

8.918385

7.186144

7.507104

8.232931

7.464232

7.362769

7.603184

7.393243

7.507629

7.693026

7.6597

7.455947

0807.2999

Harald Dorn

Harald Dorn, Charlotte Grosse Wiesmann

Matching gluon scattering amplitudes and Wilson loops in off-shell regularization

7 pages, 2 figures, typo corrected

Phys.Lett.B668:429-431,2008

10.1016/j.physletb.2008.09.009

HU-EP-08/25

hep-th

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

We construct a regularization for light-like polygonal Wilson loops in ${\cal N}=4$ SYM, which matches them to the off-shell MHV gluon scattering amplitudes. Explicit calculations are performed for the 1-loop four gluon case. The off light cone extrapolation has to be based on the local supersymmetric Wilson loop. The observed matching concerns Feynman gauge. Furthermore, the leading infrared divergent term is shown to be gauge parameter independent on 1-loop level.

[ { "created": "Fri, 18 Jul 2008 16:04:29 GMT", "version": "v1" }, { "created": "Mon, 28 Jul 2008 09:53:22 GMT", "version": "v2" } ]

2008-11-26

[ [ "Dorn", "Harald", "" ], [ "Wiesmann", "Charlotte Grosse", "" ] ]

We construct a regularization for light-like polygonal Wilson loops in ${\cal N}=4$ SYM, which matches them to the off-shell MHV gluon scattering amplitudes. Explicit calculations are performed for the 1-loop four gluon case. The off light cone extrapolation has to be based on the local supersymmetric Wilson loop. The observed matching concerns Feynman gauge. Furthermore, the leading infrared divergent term is shown to be gauge parameter independent on 1-loop level.

16.204157

16.042467

16.905485

13.147264

16.067308

14.584563

14.282728

13.720022

14.207503

16.837517

14.119189

14.015528

14.956669

14.00384

14.514895

14.274153

14.477183

14.292913

14.42708

15.533205

14.573579

2206.07445

Bernard S. Kay

Bernard S. Kay (York)

The black hole information loss puzzle, matter-gravity entanglement entropy and the second law

13 pages, 3 figures, references added, minor clarifications and improvements, more cautiously worded

null

hep-th gr-qc quant-ph

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

Since Hawking's 1974 discovery, we expect that a black hole formed by collapse will emit radiation and eventually disappear. Closely related to the information loss puzzle is the challenge to define an objective notion of physical entropy which increases throughout this process in a way consistent with unitarity. In recent years, this has been addressed with certain notions of coarse grained entropy. We have suggested instead that physical entropy should be identified with matter-gravity entanglement entropy and that this may offer an explanation of entropy increase both for the black hole collapse and evaporation system and also for other closed unitarily evolving systems, notably the universe as a whole. For this to work, it would have to be that the matter-gravity entanglement entropy of the late-time state of black hole evaporation is larger than the entropy of the freshly formed black hole. We argue here that this is possibly the case due to (usually neglected) photon-graviton interactions. If black hole evaporation is slowed down by putting the black hole in a slightly permeable box, we give plausibility arguments that the radiation remaining after a large black hole has evaporated will (be pure and) mainly consist of roughly equal numbers of photons and gravitons entangled with one another -- with a photon-graviton entanglement entropy possibly greater than the entropy of the freshly formed black hole. It also seems possible that, even in the absence of such a box, the matter-gravity entanglement entropy might still increase and the late-time state again be a pure state of (predominantly) photons highly entangled with soft gravitons that the Hawking-emitted photons themselves had radiated. More work is needed to find out if it is indeed so.

[ { "created": "Wed, 15 Jun 2022 10:46:34 GMT", "version": "v1" }, { "created": "Thu, 23 Feb 2023 15:59:05 GMT", "version": "v2" }, { "created": "Thu, 16 Mar 2023 16:49:23 GMT", "version": "v3" }, { "created": "Wed, 29 Mar 2023 20:57:32 GMT", "version": "v4" } ]

2023-03-31

[ [ "Kay", "Bernard S.", "", "York" ] ]

Since Hawking's 1974 discovery, we expect that a black hole formed by collapse will emit radiation and eventually disappear. Closely related to the information loss puzzle is the challenge to define an objective notion of physical entropy which increases throughout this process in a way consistent with unitarity. In recent years, this has been addressed with certain notions of coarse grained entropy. We have suggested instead that physical entropy should be identified with matter-gravity entanglement entropy and that this may offer an explanation of entropy increase both for the black hole collapse and evaporation system and also for other closed unitarily evolving systems, notably the universe as a whole. For this to work, it would have to be that the matter-gravity entanglement entropy of the late-time state of black hole evaporation is larger than the entropy of the freshly formed black hole. We argue here that this is possibly the case due to (usually neglected) photon-graviton interactions. If black hole evaporation is slowed down by putting the black hole in a slightly permeable box, we give plausibility arguments that the radiation remaining after a large black hole has evaporated will (be pure and) mainly consist of roughly equal numbers of photons and gravitons entangled with one another -- with a photon-graviton entanglement entropy possibly greater than the entropy of the freshly formed black hole. It also seems possible that, even in the absence of such a box, the matter-gravity entanglement entropy might still increase and the late-time state again be a pure state of (predominantly) photons highly entangled with soft gravitons that the Hawking-emitted photons themselves had radiated. More work is needed to find out if it is indeed so.

9.307221

9.984636

8.747065

8.773107

9.893707

9.746343

10.063033

8.946087

9.553838

9.331162

9.267303

8.99693

8.932644

8.901582

8.946218

8.905968

9.096115

8.984029

9.219731

9.003134

8.974011

1901.04448

Alon Faraggi

Alon E. Faraggi, Glyn Harries, Benjamin Percival and John Rizos

Towards machine learning in the classification of Z2xZ2 orbifold compactifications

8 pages. Standard LaTex. 3 figures. To appear in the proceedings of the DISCRETE 2018 international conference, Austrian Academy of Sciences, Vienna, 26-30 November 2018. Minor corrections

null

10.1088/1742-6596/1586/1/012032

LTH-1197

hep-th hep-ph

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

Systematic classification of Z2xZ2 orbifold compactifications of the heterotic-string was pursued by using its free fermion formulation. The method entails random generation of string vacua and analysis of their entire spectra, and led to discovery of spinor-vector duality and three generation exophobic string vacua. The classification was performed for string vacua with unbroken SO(10) GUT symmetry, and progressively extended to models in which the SO(10) symmetry is broken to the SO(6)xSO(4), SU(5)xU(1), SU(3)xSU(2)xU(1)^2 and SU(3)xU(1)xSU(2)^2 subgroups. Obtaining sizeable number of phenomenologically viable vacua in the last two cases requires identification of fertility conditions. Adaptation of machine learning tools to identify the fertility conditions will be useful when the frequency of viable models becomes exceedingly small in the total space of vacua.

[ { "created": "Mon, 14 Jan 2019 18:29:38 GMT", "version": "v1" }, { "created": "Wed, 20 Feb 2019 14:57:02 GMT", "version": "v2" } ]

2020-12-30

[ [ "Faraggi", "Alon E.", "" ], [ "Harries", "Glyn", "" ], [ "Percival", "Benjamin", "" ], [ "Rizos", "John", "" ] ]

Systematic classification of Z2xZ2 orbifold compactifications of the heterotic-string was pursued by using its free fermion formulation. The method entails random generation of string vacua and analysis of their entire spectra, and led to discovery of spinor-vector duality and three generation exophobic string vacua. The classification was performed for string vacua with unbroken SO(10) GUT symmetry, and progressively extended to models in which the SO(10) symmetry is broken to the SO(6)xSO(4), SU(5)xU(1), SU(3)xSU(2)xU(1)^2 and SU(3)xU(1)xSU(2)^2 subgroups. Obtaining sizeable number of phenomenologically viable vacua in the last two cases requires identification of fertility conditions. Adaptation of machine learning tools to identify the fertility conditions will be useful when the frequency of viable models becomes exceedingly small in the total space of vacua.

9.604027

8.875592

9.124462

8.063975

8.125025

8.084105

7.753047

7.295301

7.972314

9.582337

8.587588

8.015056

8.753978

8.490709

8.265374

8.356293

8.308129

8.500117

8.385524

8.656931

8.441211

1610.00443

Ashoke Sen

Equivalence of Two Contour Prescriptions in Superstring Perturbation Theory

LaTeX, 12 pages

null

10.1007/JHEP04(2017)025

null

hep-th

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

Conventional superstring perturbation theory based on the world-sheet approach gives divergent results for the S-matrix whenever the total center of mass energy of the incoming particles exceeds the threshold of production of any final state consistent with conservation laws. Two systematic approaches have been suggested for dealing with this difficulty. The first one involves deforming the integration cycles over the moduli space of punctured Riemann surfaces into complexified moduli space. The second one treats the amplitude as a sum of superstring field theory Feynman diagrams and deforms the integration contours over loop energies of the Feynman diagram into the complex plane. In this paper we establish the equivalence of the two prescriptions to all orders in perturbation theory. Since the second approach is known to lead to unitary amplitudes, this establishes the consistency of the first prescription with unitarity.

[ { "created": "Mon, 3 Oct 2016 08:45:03 GMT", "version": "v1" } ]

2017-04-26

[ [ "Sen", "Ashoke", "" ] ]

Conventional superstring perturbation theory based on the world-sheet approach gives divergent results for the S-matrix whenever the total center of mass energy of the incoming particles exceeds the threshold of production of any final state consistent with conservation laws. Two systematic approaches have been suggested for dealing with this difficulty. The first one involves deforming the integration cycles over the moduli space of punctured Riemann surfaces into complexified moduli space. The second one treats the amplitude as a sum of superstring field theory Feynman diagrams and deforms the integration contours over loop energies of the Feynman diagram into the complex plane. In this paper we establish the equivalence of the two prescriptions to all orders in perturbation theory. Since the second approach is known to lead to unitary amplitudes, this establishes the consistency of the first prescription with unitarity.

6.496174

7.302581

7.060127

6.309204

7.062126

6.232435

6.628043

6.896921

6.305711

6.86448

6.333821

6.543727

6.574723

6.311086

6.237947

6.481525

6.480622

6.475768

6.428185

6.479073

6.337121

1902.09607

Peter Millington

Clare Burrage, Christian K\"ading, Peter Millington, Ji\v{r}\'i Min\'a\v{r}

Influence functionals, decoherence and conformally coupled scalars

9 pages, JPCS format. Contribution to the proceedings of the 9th International Workshop DICE2018 Spacetime - Matter - Quantum Mechanics, 17-21 September 2018, Castiglioncello, Italy. Presented by P. Millington. This revision includes minor corrections, additional clarifications and updated references relative to the version of record

J. Phys.: Conf. Ser. 1275 (2019) no. 1, 012041

10.1088/1742-6596/1275/1/012041

null

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

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

Some of the simplest modifications to general relativity involve the coupling of additional scalar fields to the scalar curvature. By making a Weyl rescaling of the metric, these theories can be mapped to Einstein gravity with the additional scalar fields instead being coupled universally to matter. The resulting couplings to matter give rise to scalar fifth forces, which can evade the stringent constraints from local tests of gravity by means of so-called screening mechanisms. In this talk, we derive evolution equations for the matrix elements of the reduced density operator of a toy matter sector by means of the Feynman-Vernon influence functional. In particular, we employ a novel approach akin to the LSZ reduction more familiar to scattering-matrix theory. The resulting equations allow the analysis, for instance, of decoherence induced in atom-interferometry experiments by these classes of modified theories of gravity.

[ { "created": "Mon, 25 Feb 2019 20:53:03 GMT", "version": "v1" }, { "created": "Fri, 11 Oct 2019 11:44:29 GMT", "version": "v2" } ]

2019-10-14

[ [ "Burrage", "Clare", "" ], [ "Käding", "Christian", "" ], [ "Millington", "Peter", "" ], [ "Minář", "Jiří", "" ] ]

Some of the simplest modifications to general relativity involve the coupling of additional scalar fields to the scalar curvature. By making a Weyl rescaling of the metric, these theories can be mapped to Einstein gravity with the additional scalar fields instead being coupled universally to matter. The resulting couplings to matter give rise to scalar fifth forces, which can evade the stringent constraints from local tests of gravity by means of so-called screening mechanisms. In this talk, we derive evolution equations for the matrix elements of the reduced density operator of a toy matter sector by means of the Feynman-Vernon influence functional. In particular, we employ a novel approach akin to the LSZ reduction more familiar to scattering-matrix theory. The resulting equations allow the analysis, for instance, of decoherence induced in atom-interferometry experiments by these classes of modified theories of gravity.

10.522488

10.778092

10.677135

9.18787

10.479353

12.124218

11.316563

9.848338

10.346339

11.267858

10.409733

10.194049

9.765931

9.732028

10.071994

9.809927

9.881487

9.590163

10.023058

9.865757

10.058678

2307.15498

Davide Polvara

Patrick Dorey and Davide Polvara

From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions

45 pages, 18 figures. Typos in the abstract corrected

null

hep-th

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

Recently we showed how, in two-dimensional scalar theories, one-loop threshold diagrams can be cut into the product of one or more tree-level diagrams arXiv:2206.09368. Using this method on the ADE series of Toda models, we computed the double- and single-pole coefficients of the Laurent expansion of the S-matrix around a pole of arbitrary even order, finding agreement with the bootstrapped results. Here we generalise the cut method explained in arXiv:2206.09368 to multiple loops and use it to simplify large networks of singular diagrams. We observe that only a small number of cut diagrams survive and contribute to the expected bootstrapped result, while most of them cancel each other out through a mechanism inherited from the tree-level integrability of these models. The simplification mechanism between cut diagrams inside networks is reminiscent of Gauss's theorem in the space of Feynman diagrams.

[ { "created": "Fri, 28 Jul 2023 11:50:46 GMT", "version": "v1" }, { "created": "Sat, 26 Aug 2023 17:32:18 GMT", "version": "v2" } ]

2023-08-29

[ [ "Dorey", "Patrick", "" ], [ "Polvara", "Davide", "" ] ]

Recently we showed how, in two-dimensional scalar theories, one-loop threshold diagrams can be cut into the product of one or more tree-level diagrams arXiv:2206.09368. Using this method on the ADE series of Toda models, we computed the double- and single-pole coefficients of the Laurent expansion of the S-matrix around a pole of arbitrary even order, finding agreement with the bootstrapped results. Here we generalise the cut method explained in arXiv:2206.09368 to multiple loops and use it to simplify large networks of singular diagrams. We observe that only a small number of cut diagrams survive and contribute to the expected bootstrapped result, while most of them cancel each other out through a mechanism inherited from the tree-level integrability of these models. The simplification mechanism between cut diagrams inside networks is reminiscent of Gauss's theorem in the space of Feynman diagrams.

14.78397

13.898374

14.963784

14.157854

13.96559

13.682797

14.500967

14.099497

13.553556

16.349161

13.598742

13.401537

13.988647

13.710346

14.035564

13.501446

13.460058

13.723191

13.929192

14.395455

13.317191

hep-th/9502107

Andy Strominger

Katrin Becker, Melanie Becker and Andrew Strominger

Three-Dimensional Supergravity and the Cosmological Constant

12 pages, phyzzx

Phys.Rev.D51:6603-6607,1995

10.1103/PhysRevD.51.R6603

NSF-ITP-95-07

hep-th

null

Witten has argued that in $2+1$ dimensions local supersymmetry can ensure the vanishing of the cosmological constant without requiring the equality of bose and fermi masses. We find that this mechanism is implemented in a novel fashion in the (2+1)-dimensional supersymmetric abelian Higgs model coupled to supergravity. The vortex solitons are annihilated by half of the supersymmetry transformations. The covariantly constant spinors required to define these supersymmetries exist by virtue of a surprising cancellation between the Aharonov-Bohm phase and the phase associated with the holonomy of the spin connection. However the other half of the supersymmetry transformations, whose actions ordinarily generate the soliton supermultiplet, are not well-defined and bose-fermi degeneracy is consequently absent in the soliton spectrum.

[ { "created": "Thu, 16 Feb 1995 23:03:34 GMT", "version": "v1" } ]

2009-09-17

[ [ "Becker", "Katrin", "" ], [ "Becker", "Melanie", "" ], [ "Strominger", "Andrew", "" ] ]

Witten has argued that in $2+1$ dimensions local supersymmetry can ensure the vanishing of the cosmological constant without requiring the equality of bose and fermi masses. We find that this mechanism is implemented in a novel fashion in the (2+1)-dimensional supersymmetric abelian Higgs model coupled to supergravity. The vortex solitons are annihilated by half of the supersymmetry transformations. The covariantly constant spinors required to define these supersymmetries exist by virtue of a surprising cancellation between the Aharonov-Bohm phase and the phase associated with the holonomy of the spin connection. However the other half of the supersymmetry transformations, whose actions ordinarily generate the soliton supermultiplet, are not well-defined and bose-fermi degeneracy is consequently absent in the soliton spectrum.

8.001616

7.141667

8.084814

7.257141

7.020162

7.208535

6.902388

7.275951

6.943538

8.385404

6.981337

7.07362

7.700559

7.351292

7.199147

7.267749

7.221917

7.420669

7.203064

7.723705

7.436506

1003.3858

David F. Mota

Christian G. Boehmer, James Burnett, David F. Mota, Douglas J. Shaw

Dark spinor models in gravitation and cosmology

43 pages. Several new sections and details added. JHEP in print

JHEP 1007:053, 2010

10.1007/JHEP07(2010)053

null

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

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

We introduce and carefully define an entire class of field theories based on non-standard spinors. Their dominant interaction is via the gravitational field which makes them naturally dark; we refer to them as Dark Spinors. We provide a critical analysis of previous proposals for dark spinors noting that they violate Lorentz invariance. As a working assumption we restrict our analysis to non-standard spinors which preserve Lorentz invariance, whilst being non-local and explicitly construct such a theory. We construct the complete energy-momentum tensor and derive its components explicitly by assuming a specific projection operator. It is natural to next consider dark spinors in a cosmological setting. We find various interesting solutions where the spinor field leads to slow roll and fast roll de Sitter solutions. We also analyse models where the spinor is coupled conformally to gravity, and consider the perturbations and stability of the spinor.

[ { "created": "Fri, 19 Mar 2010 18:49:26 GMT", "version": "v1" }, { "created": "Wed, 16 Jun 2010 08:22:07 GMT", "version": "v2" } ]

2012-12-11

[ [ "Boehmer", "Christian G.", "" ], [ "Burnett", "James", "" ], [ "Mota", "David F.", "" ], [ "Shaw", "Douglas J.", "" ] ]

We introduce and carefully define an entire class of field theories based on non-standard spinors. Their dominant interaction is via the gravitational field which makes them naturally dark; we refer to them as Dark Spinors. We provide a critical analysis of previous proposals for dark spinors noting that they violate Lorentz invariance. As a working assumption we restrict our analysis to non-standard spinors which preserve Lorentz invariance, whilst being non-local and explicitly construct such a theory. We construct the complete energy-momentum tensor and derive its components explicitly by assuming a specific projection operator. It is natural to next consider dark spinors in a cosmological setting. We find various interesting solutions where the spinor field leads to slow roll and fast roll de Sitter solutions. We also analyse models where the spinor is coupled conformally to gravity, and consider the perturbations and stability of the spinor.

13.126995

12.658511

12.283952

11.361405

12.730882

12.047329

13.07351

11.971804

11.83671

12.866453

12.054961

12.151857

11.976382

12.221463

12.312989

12.298534

12.164763

12.033848

12.088614

12.33649

12.14156

hep-th/0608039

John R. Hiller

J.R. Hiller

Supersymmetric Two-Dimensional QCD at Finite Temperature

7 pages, 2 figures, ws-procs9x6.cls; to appear in the proceedings of the seventh workshop on Continuous Advances in QCD, Minneapolis, Minnesota, May 11-14, 2006

null

10.1142/9789812708267_0063

UMN-D-06-1

hep-th

null

Light-cone coordinates and supersymmetric discrete light-cone quantization are used to analyze the thermodynamics of two-dimensional supersymmetric quantum chromodynamics with a Chern-Simons term in the large-N_c approximation. This requires estimation of the entire spectrum of the theory, which is done with a new algorithm based on Lanczos iterations. Although this work is still in progress, some preliminary results are presented.

[ { "created": "Fri, 4 Aug 2006 20:55:22 GMT", "version": "v1" } ]

2017-08-23

[ [ "Hiller", "J. R.", "" ] ]

Light-cone coordinates and supersymmetric discrete light-cone quantization are used to analyze the thermodynamics of two-dimensional supersymmetric quantum chromodynamics with a Chern-Simons term in the large-N_c approximation. This requires estimation of the entire spectrum of the theory, which is done with a new algorithm based on Lanczos iterations. Although this work is still in progress, some preliminary results are presented.

9.738456

8.154472

9.08882

8.36904

8.828966

7.875789

8.415396

8.008118

8.429989

9.491747

8.184

9.211872

8.993597

8.933831

9.274783

9.484347

8.920186

8.565563

8.777439

9.528618

8.796225

1405.6529

Wung-Hong Huang

Landau Free Energy and Analytic Tricritical Point in Holographic Superfluid

Latex, 16 pages, correct singular function

Int. J. Mod. Phys. A 30 (2015) 1550035

10.1142/S0217751X15500359

null

hep-th

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

We investigate the analytical method in studying the holographic superfluid model which is described by Maxwell field minimally coupling to a charged scalar field in a fixed AdS black hole background. We propose a method that enables us to find exact value of coefficient in the solution and thus obtain higher-order expansion of the associated Landau free energy of the holographic superfluid with flow. We determine the critical value of superfluid velocity at the tricritical point of holographic superfluid and compare it with the numerical value.

[ { "created": "Mon, 26 May 2014 10:23:40 GMT", "version": "v1" }, { "created": "Mon, 2 Jun 2014 08:15:34 GMT", "version": "v2" }, { "created": "Tue, 24 Feb 2015 15:02:41 GMT", "version": "v3" } ]

2015-06-19

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

We investigate the analytical method in studying the holographic superfluid model which is described by Maxwell field minimally coupling to a charged scalar field in a fixed AdS black hole background. We propose a method that enables us to find exact value of coefficient in the solution and thus obtain higher-order expansion of the associated Landau free energy of the holographic superfluid with flow. We determine the critical value of superfluid velocity at the tricritical point of holographic superfluid and compare it with the numerical value.

11.81676

10.912769

12.505822

11.678793

11.177398

11.367297

10.32816

10.762829

11.241982

12.423208

11.157629

10.911974

12.276562

10.690109

10.548383

10.800274

10.760473

10.921543

10.894601

11.650073

11.363774

hep-th/0602150

Enrique Alvarez

Enrique \'Alvarez and Ant\'on F. Faedo

Renormalized Kaluza-Klein theories

LaTeX, 36 pages. A new section added; references improved, typos fixed

JHEP0605:046,2006

10.1088/1126-6708/2006/05/046

IFT-UAM/CSIC-06-06

hep-th hep-ph

null

Using six-dimensional quantum electrodynamics ($QED_6$) as an example we study the one-loop renormalization of the theory both from the six and four-dimensional points of view. Our main conclusion is that the properly renormalized four dimensional theory never forgets its higher dimensional origin. In particular, the coefficients of the neccessary extra counterterms in the four dimensional theory are determined in a precise way. We check our results by studying the reduction of $QED_4$ on a two-torus.

[ { "created": "Wed, 15 Feb 2006 10:14:25 GMT", "version": "v1" }, { "created": "Wed, 3 May 2006 13:53:18 GMT", "version": "v2" }, { "created": "Wed, 10 May 2006 10:33:36 GMT", "version": "v3" } ]

2009-11-11

[ [ "Álvarez", "Enrique", "" ], [ "Faedo", "Antón F.", "" ] ]

Using six-dimensional quantum electrodynamics ($QED_6$) as an example we study the one-loop renormalization of the theory both from the six and four-dimensional points of view. Our main conclusion is that the properly renormalized four dimensional theory never forgets its higher dimensional origin. In particular, the coefficients of the neccessary extra counterterms in the four dimensional theory are determined in a precise way. We check our results by studying the reduction of $QED_4$ on a two-torus.

9.519993

7.614851

9.138609

7.926255

7.604284

8.19687

7.789937

7.506296

7.52006

8.611989

7.919915

8.267292

8.980451

8.220216

8.146618

8.073838

8.313011

8.298754

8.118092

9.125761

8.211697

0904.2156

Francesco Fucito

Massimo Bianchi, Francesco Fucito and Jose F. Morales

Dynamical supersymmetry breaking from unoriented D-brane instantons

24 pages, 1 figure

JHEP 0908:040,2009

10.1088/1126-6708/2009/08/040

ROM2F/2009/06

hep-th

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

We study the non-perturbative dynamics of an unoriented Z_5-quiver theory of GUT kind with gauge group U(5) and chiral matter. At strong coupling the non-perturbative dynamics is described in terms of set of baryon/meson variables satisfying a quantum deformed constraint. We compute the effective superpotential of the theory and show that it admits a line of supersymmetric vacua and a phase where supersymmetry is dynamically broken via gaugino condensation.

[ { "created": "Tue, 14 Apr 2009 16:52:22 GMT", "version": "v1" } ]

2009-08-17

[ [ "Bianchi", "Massimo", "" ], [ "Fucito", "Francesco", "" ], [ "Morales", "Jose F.", "" ] ]

We study the non-perturbative dynamics of an unoriented Z_5-quiver theory of GUT kind with gauge group U(5) and chiral matter. At strong coupling the non-perturbative dynamics is described in terms of set of baryon/meson variables satisfying a quantum deformed constraint. We compute the effective superpotential of the theory and show that it admits a line of supersymmetric vacua and a phase where supersymmetry is dynamically broken via gaugino condensation.

11.108865

9.850076

11.385482

9.242149

9.96981

10.042733

10.025993

9.788428

9.790039

11.486407

9.794918

10.015591

10.342643

9.838353

9.694344

9.825265

10.516163

9.902989

10.368836

11.411698

9.289345

hep-th/9512111

Christian Adler

C. Adler

Braid group statistics in two-dimensional quantum field theory

19 pages, latex2e

Rev.Math.Phys. 8 (1996) 907-924

10.1142/S0129055X96000329

DESY 95-247

hep-th

null

Within the framework of algebraic quantum field theory, we construct explicitly localized morphisms of a Haag-Kastler net in 1+1-dimensional Minkowski space showing abelian braid group statistics. Moreover, we investigate the scattering theory of the corresponding quantum fields.

[ { "created": "Fri, 15 Dec 1995 13:19:43 GMT", "version": "v1" } ]

2015-06-26

[ [ "Adler", "C.", "" ] ]

Within the framework of algebraic quantum field theory, we construct explicitly localized morphisms of a Haag-Kastler net in 1+1-dimensional Minkowski space showing abelian braid group statistics. Moreover, we investigate the scattering theory of the corresponding quantum fields.

11.345499

8.803332

9.908717

8.821162

8.368928

9.650592

8.561635

9.346215

8.495227

12.608001

9.469646

9.182927

10.025884

9.55827

9.21093

9.242585

9.368689

9.223511

10.211346

9.370044

9.474738

2105.01700

Patricio Salgado

S. Lepe, C. Riquelme and P. Salgado

Black and White holes in four-dimensional Chern-Simons gravity

null

hep-th

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

We discuss a four-dimensional gravitational action which was obtained replacing a Randall-Sundrum type metric in the so called five-dimensional Einstein-Chern-Simons gravity action. We studied black hole solutions of the corresponding 4-dimensional gravitational field equations. It is found that for a spherically symmetric metric such equations lead to a spacetime with a cosmological constant inversely proportional to the square of the compactification radius and to one solution dependent on an arbitrary constant C. If this constant is negative, we find a Schwarzschid-de Sitter black hole. If C is positive, the solution can be understood as a white hole solution which is obtained applying to the solution with C<0 the discrete coordinate transformation PT accompanied by the transformation C -C, with C>0, corresponding to a transformation known as mass reversal.

[ { "created": "Tue, 4 May 2021 18:39:11 GMT", "version": "v1" }, { "created": "Mon, 24 Jan 2022 01:46:49 GMT", "version": "v2" }, { "created": "Fri, 8 Jul 2022 02:18:35 GMT", "version": "v3" }, { "created": "Tue, 11 Oct 2022 01:13:57 GMT", "version": "v4" } ]

2022-10-12

[ [ "Lepe", "S.", "" ], [ "Riquelme", "C.", "" ], [ "Salgado", "P.", "" ] ]

We discuss a four-dimensional gravitational action which was obtained replacing a Randall-Sundrum type metric in the so called five-dimensional Einstein-Chern-Simons gravity action. We studied black hole solutions of the corresponding 4-dimensional gravitational field equations. It is found that for a spherically symmetric metric such equations lead to a spacetime with a cosmological constant inversely proportional to the square of the compactification radius and to one solution dependent on an arbitrary constant C. If this constant is negative, we find a Schwarzschid-de Sitter black hole. If C is positive, the solution can be understood as a white hole solution which is obtained applying to the solution with C<0 the discrete coordinate transformation PT accompanied by the transformation C -C, with C>0, corresponding to a transformation known as mass reversal.

12.332411

12.936492

12.751845

11.920807

12.139942

13.428365

14.540652

12.403122

12.760036

13.570667

12.133737

12.527631

11.528675

11.779196

11.995021

12.532937

12.783687

11.698744

12.005091

11.657372

12.090799

2302.11096

Xin-Meng Wu

Matteo Baggioli, Yan Liu and Xin-Meng Wu

Entanglement entropy as an order parameter for strongly coupled nodal line semimetals

35 pages, 16 figures

JHEP05(2023)221

10.1007/JHEP05(2023)221

null

hep-th cond-mat.str-el

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

Topological semimetals are a class of many-body systems exhibiting novel macroscopic quantum phenomena at the interplay between high energy and condensed matter physics. They display a topological quantum phase transition (TQPT) which evades the standard Landau paradigm. In the case of Weyl semimetals, the anomalous Hall effect is a good non-local order parameter for the TQPT, as it is proportional to the separation between the Weyl nodes in momentum space. On the contrary, for nodal line semimetals (NLSM), the quest for an order parameter is still open. By taking advantage of a recently proposed holographic model for strongly-coupled NLSM, we explicitly show that entanglement entropy (EE) provides an optimal probe for nodal topology. We propose a generalized $c$-function, constructed from the EE, as an order parameter for the TQPT. Moreover, we find that the derivative of the renormalized EE with respect to the external coupling driving the TQPT diverges at the critical point, signaling the rise of non-local quantum correlations. Finally, we show that these quantum information quantities might be able to characterize not only the critical point but the whole quantum critical region at finite temperature.

[ { "created": "Wed, 22 Feb 2023 02:31:44 GMT", "version": "v1" }, { "created": "Thu, 1 Jun 2023 13:04:07 GMT", "version": "v2" } ]

2023-06-02

[ [ "Baggioli", "Matteo", "" ], [ "Liu", "Yan", "" ], [ "Wu", "Xin-Meng", "" ] ]

Topological semimetals are a class of many-body systems exhibiting novel macroscopic quantum phenomena at the interplay between high energy and condensed matter physics. They display a topological quantum phase transition (TQPT) which evades the standard Landau paradigm. In the case of Weyl semimetals, the anomalous Hall effect is a good non-local order parameter for the TQPT, as it is proportional to the separation between the Weyl nodes in momentum space. On the contrary, for nodal line semimetals (NLSM), the quest for an order parameter is still open. By taking advantage of a recently proposed holographic model for strongly-coupled NLSM, we explicitly show that entanglement entropy (EE) provides an optimal probe for nodal topology. We propose a generalized $c$-function, constructed from the EE, as an order parameter for the TQPT. Moreover, we find that the derivative of the renormalized EE with respect to the external coupling driving the TQPT diverges at the critical point, signaling the rise of non-local quantum correlations. Finally, we show that these quantum information quantities might be able to characterize not only the critical point but the whole quantum critical region at finite temperature.

5.78499

5.543549

6.071529

5.96503

5.376924

5.807556

5.550252

5.671704

5.562351

6.323501

5.421133

5.554542

5.737037

5.666932

5.700279

5.659016

5.627595

5.474162

5.506981

5.786812

5.658851

1709.05541

Eduardo da Hora

V. Almeida, R. Casana and E. da Hora

First-order vortices in a gauged $CP(2)$ model with a Chern-Simons term

7 pages, 6 figures

Phys. Rev. D 97, 016013 (2018)

10.1103/PhysRevD.97.016013

null

hep-th nlin.PS

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

We consider a gauged $CP(2)$ theory in the presence of the Chern-Simons action, focusing our attention on those time-independent solutions possessing radial symmetry. In this context, we develop a coherent first-order framework via the Bogomol'nyi prescription, from which we obtain the corresponding energy lower-bound and the first-order equations the model supports. We use these expressions to introduce effective BPS scenarios, solving the resulting first-order equations by means of the finite-difference scheme, this way attaining genuine field solutions engendering topological configurations. We depict the new profiles, commenting on the main properties they engender.

[ { "created": "Sat, 16 Sep 2017 17:27:12 GMT", "version": "v1" }, { "created": "Fri, 26 Jan 2018 16:41:33 GMT", "version": "v2" } ]

2018-01-29

[ [ "Almeida", "V.", "" ], [ "Casana", "R.", "" ], [ "da Hora", "E.", "" ] ]

We consider a gauged $CP(2)$ theory in the presence of the Chern-Simons action, focusing our attention on those time-independent solutions possessing radial symmetry. In this context, we develop a coherent first-order framework via the Bogomol'nyi prescription, from which we obtain the corresponding energy lower-bound and the first-order equations the model supports. We use these expressions to introduce effective BPS scenarios, solving the resulting first-order equations by means of the finite-difference scheme, this way attaining genuine field solutions engendering topological configurations. We depict the new profiles, commenting on the main properties they engender.

16.592672

10.376322

17.286713

13.238307

14.34464

11.816436

12.769951

11.118033

11.719598

19.302505

13.453254

14.720692

16.644342

14.799903

15.23864

15.101585

15.243789

14.876483

15.1483

17.13002

15.421083

1110.5069

Alexander Stoffers

Michael Spillane, Alexander Stoffers and Ismail Zahed

Jet quenching in shock waves

null

10.1007/JHEP02(2012)023

null

hep-th hep-ph nucl-th

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

We study the propagation of an ultrarelativistic light quark jet inside a shock wave using the holographic principle. The maximum stopping distance and its dependency on the energy of the jet is obtained.

[ { "created": "Sun, 23 Oct 2011 18:18:32 GMT", "version": "v1" } ]

2012-10-16

[ [ "Spillane", "Michael", "" ], [ "Stoffers", "Alexander", "" ], [ "Zahed", "Ismail", "" ] ]

We study the propagation of an ultrarelativistic light quark jet inside a shock wave using the holographic principle. The maximum stopping distance and its dependency on the energy of the jet is obtained.

16.048426

9.85759

11.148438

11.038813

11.740069

10.777428

11.114564

12.586388

10.683113

11.392167

11.373964

12.396032

11.613539

11.394478

11.785084

11.623628

11.935629

12.18634

11.461428

11.96398

11.87651

hep-th/0511165

Olaf Hohm

On the infinite-dimensional spin-2 symmetries in Kaluza-Klein theories

33 pages; v2: minor corrections and references added

Phys.Rev. D73 (2006) 044003

10.1103/PhysRevD.73.044003

null

hep-th

null

We consider the couplings of an infinite number of spin-2 fields to gravity appearing in Kaluza-Klein theories. They are constructed as the broken phase of a massless theory possessing an infinite-dimensional spin-2 symmetry. Focusing on a circle compactification of four-dimensional gravity we show that the resulting gravity/spin-2 system in D=3 has in its unbroken phase an interpretation as a Chern-Simons theory of the Kac-Moody algebra associated to the Poincare group and also fits into the geometrical framework of algebra-valued differential geometry developed by Wald. Assigning all degrees of freedom to scalar fields, the matter couplings in the unbroken phase are determined, and it is shown that their global symmetry algebra contains the Virasoro algebra together with an enhancement of the Ehlers group to its affine extension. The broken phase is then constructed by gauging a subgroup of the global symmetries. It is shown that metric, spin-2 fields and Kaluza-Klein vectors combine into a Chern-Simons theory for an extended algebra, in which the affine Poincare subalgebra acquires a central extension.

[ { "created": "Wed, 16 Nov 2005 16:24:47 GMT", "version": "v1" }, { "created": "Wed, 25 Jan 2006 17:02:13 GMT", "version": "v2" } ]

2009-11-11

[ [ "Hohm", "Olaf", "" ] ]

We consider the couplings of an infinite number of spin-2 fields to gravity appearing in Kaluza-Klein theories. They are constructed as the broken phase of a massless theory possessing an infinite-dimensional spin-2 symmetry. Focusing on a circle compactification of four-dimensional gravity we show that the resulting gravity/spin-2 system in D=3 has in its unbroken phase an interpretation as a Chern-Simons theory of the Kac-Moody algebra associated to the Poincare group and also fits into the geometrical framework of algebra-valued differential geometry developed by Wald. Assigning all degrees of freedom to scalar fields, the matter couplings in the unbroken phase are determined, and it is shown that their global symmetry algebra contains the Virasoro algebra together with an enhancement of the Ehlers group to its affine extension. The broken phase is then constructed by gauging a subgroup of the global symmetries. It is shown that metric, spin-2 fields and Kaluza-Klein vectors combine into a Chern-Simons theory for an extended algebra, in which the affine Poincare subalgebra acquires a central extension.

7.386133

8.52117

8.454123

7.831428

8.01509

8.342093

8.000614

8.00103

7.708989

9.38983

7.955227

7.622205

7.607487

7.510732

7.510886

7.327031

7.516428

7.458386

7.629158

7.399796

7.393998

0911.3230

Alexander A. Chernitskii

About spin particle solution in Born-Infeld nonlinear electrodynamics

The article for proceedings of the XIII Workshop on high energy spin physics (DSPIN-09), Dubna, Russia, September 1-5, 2009. 4 pages, 1 figure

XIII Advanced Research Workshop on High Energy Spin Physics (DSPIN-09) Proceedings, edited by A.V. Efremov and S.V. Goloskokov, JINR, Dubna, 2010, pp. 443-446

null

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

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

The axisymmetric static solution of Born-Infeld nonlinear electrodynamics with ring singularity is investigated. This solution is considered as a static part of massive charged particle with spin and magnetic moment. The method for obtaining the appropriate approximate solution is proposed. An approximate solution is found. The values of spin, mass, and magnetic moment is obtained for this approximate solution.

[ { "created": "Tue, 17 Nov 2009 08:14:54 GMT", "version": "v1" } ]

2010-06-29

[ [ "Chernitskii", "Alexander A.", "" ] ]

The axisymmetric static solution of Born-Infeld nonlinear electrodynamics with ring singularity is investigated. This solution is considered as a static part of massive charged particle with spin and magnetic moment. The method for obtaining the appropriate approximate solution is proposed. An approximate solution is found. The values of spin, mass, and magnetic moment is obtained for this approximate solution.

11.938529

11.536547

11.091456

11.398171

10.773008

11.042478

11.814013

10.805656

10.82795

10.517261

10.325123

10.7854

11.398989

11.314704

11.10812

10.722913

11.415895

11.069752

10.937403

11.521946

10.774451

hep-th/9407135

Ruibin Zhang

R. B. Zhang

The Quantum Super Yangian and Casimir Operators of $U_q(gl(M|N))$

10 pages in plain LaTex

Lett.Math.Phys. 33 (1995) 263-272

10.1007/BF00749628

null

hep-th

null

The quantum super Yangian $Y_q(gl(M|N))$ associated with the Perk - Schultz solution of the Yang - Baxter equation is introduced. Its structural properties are investigated, in particular, an extensive study of its central algebra is carried out. A $Z_2$ graded associative algebra epimorphism $Y_q(gl(M|N))--> U_q(gl(M|N))$ is established and constructed explicitly. Images of the central elements of the quantum super Yangian under this epimorphism yield the Casimir operators of the quantum supergroup $U_q(gl(M|N))$ constructed in an earlier publication.

[ { "created": "Thu, 21 Jul 1994 02:18:47 GMT", "version": "v1" } ]

2009-10-28

[ [ "Zhang", "R. B.", "" ] ]

The quantum super Yangian $Y_q(gl(M|N))$ associated with the Perk - Schultz solution of the Yang - Baxter equation is introduced. Its structural properties are investigated, in particular, an extensive study of its central algebra is carried out. A $Z_2$ graded associative algebra epimorphism $Y_q(gl(M|N))--> U_q(gl(M|N))$ is established and constructed explicitly. Images of the central elements of the quantum super Yangian under this epimorphism yield the Casimir operators of the quantum supergroup $U_q(gl(M|N))$ constructed in an earlier publication.

6.85992

7.856364

8.368082

7.626024

7.32345

7.736908

7.801296

7.203727

7.245547

7.745589

7.095179

6.902647

7.317396

6.60899

6.619206

6.622255

6.843649

6.72016

6.82675

7.213165

6.786845

2112.09444

Marina David

Marina David, Victor Godet, Zhihan Liu, Leopoldo A. Pando Zayas

Non-topological logarithmic corrections in minimal gauged supergravity

63 pages; v2: typographical errors fixed

null

10.1007/JHEP08(2022)043

null

hep-th gr-qc

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

We compute the logarithmic correction to the entropy of asymptotically AdS$_4$ black holes in minimal ${\cal N}=2$ gauged supergravity. We show that for extremal black holes the logarithmic correction computed in the near horizon geometry agrees with the result in the full geometry up to zero mode contributions, thus clarifying where the quantum degrees of freedom lie in AdS spacetimes. In contrast to flat space, we observe that the logarithmic correction for supersymmetric black holes can be non-topological in AdS as it is controlled by additional four-derivative terms other than the Euler density. The available microscopic data and results in 11d supergravity indicate that the full logarithmic correction is topological, which suggests that the topological nature of logarithmic corrections could serve as a diagnosis of whether a low-energy gravity theory admits an ultraviolet completion.

[ { "created": "Fri, 17 Dec 2021 11:25:55 GMT", "version": "v1" }, { "created": "Tue, 28 Nov 2023 14:30:35 GMT", "version": "v2" } ]

2023-11-29

[ [ "David", "Marina", "" ], [ "Godet", "Victor", "" ], [ "Liu", "Zhihan", "" ], [ "Zayas", "Leopoldo A. Pando", "" ] ]

We compute the logarithmic correction to the entropy of asymptotically AdS$_4$ black holes in minimal ${\cal N}=2$ gauged supergravity. We show that for extremal black holes the logarithmic correction computed in the near horizon geometry agrees with the result in the full geometry up to zero mode contributions, thus clarifying where the quantum degrees of freedom lie in AdS spacetimes. In contrast to flat space, we observe that the logarithmic correction for supersymmetric black holes can be non-topological in AdS as it is controlled by additional four-derivative terms other than the Euler density. The available microscopic data and results in 11d supergravity indicate that the full logarithmic correction is topological, which suggests that the topological nature of logarithmic corrections could serve as a diagnosis of whether a low-energy gravity theory admits an ultraviolet completion.

8.179069

7.944094

9.232183

8.142472

8.71907

8.574615

8.454781

7.922803

7.969419

10.108321

7.79107

7.899999

8.523437

7.912519

7.942436

8.038691

7.926296

7.814883

8.006396

8.725862

7.920561

2210.06745

Andrei Mikhailov

Insertion of vertex operators using BV formalism

LaTeX, 20pp; v2: improved presentation, added Section 3.6

null

hep-th

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

We develop a general framework for the insertion of vertex operator on the string worldsheet, in BV formalism. Such insertions correspond to deformations of the Master Action which breaks the gauge symmetry to a subgroup, and then restoring the full gauge symmetry by integrating over a cycle in the space of Lagrangian submanifolds. We provide the general construction, global on the moduli space, which was previously conjectured in a form local on the worldsheet. We explain how the enhancement of the gauge symmetry in equivariant BV formalism can be seen as an application of the general idea of BV effective action. We derive an integral formula for the deformation of the contraction operator due to the vertex insertion.

[ { "created": "Thu, 13 Oct 2022 05:15:57 GMT", "version": "v1" }, { "created": "Tue, 22 Aug 2023 17:57:51 GMT", "version": "v2" } ]

2023-08-24

[ [ "Mikhailov", "Andrei", "" ] ]

We develop a general framework for the insertion of vertex operator on the string worldsheet, in BV formalism. Such insertions correspond to deformations of the Master Action which breaks the gauge symmetry to a subgroup, and then restoring the full gauge symmetry by integrating over a cycle in the space of Lagrangian submanifolds. We provide the general construction, global on the moduli space, which was previously conjectured in a form local on the worldsheet. We explain how the enhancement of the gauge symmetry in equivariant BV formalism can be seen as an application of the general idea of BV effective action. We derive an integral formula for the deformation of the contraction operator due to the vertex insertion.

12.644502

11.061564

14.005106

11.4545

12.877293

12.174945

11.686731

11.317194

11.288123

13.894441

11.244204

11.396606

12.455986

11.738329

11.841254

12.158932

11.864209

11.588116

11.717048

11.720797

11.323583

1012.0050

Constantin Candu

Continuum Limit of gl(M/N) Spin Chains

null

JHEP 1107:069,2011

10.1007/JHEP07(2011)069

null

hep-th cond-mat.stat-mech cond-mat.str-el

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

We study the spectrum of an integrable antiferromagnetic Hamiltonian of the gl(M|N) spin chain of alternating fundamental and dual representations. After extensive numerical analysis, we identify the vacuum and low lying excitations and with this knowledge perform the continuum limit, while keeping a finite gap. All gl(n+N|N) spin chains with n,N>0 are shown to possess in the continuum limit 2n-2 multiplets of massive particles which scatter with gl(n) Gross-Neveu like S-matrices, namely their eigenvalues do not depend on N. We argue that the continuum theory is the gl(M|N) Gross-Neveu model. We then look for remaining particles in the gl(2m|1) chains. The results suggest there is a continuum of such particles, which in order to be fully understood require finite volume calculations.

[ { "created": "Tue, 30 Nov 2010 22:28:58 GMT", "version": "v1" } ]

2011-09-08

[ [ "Candu", "Constantin", "" ] ]

We study the spectrum of an integrable antiferromagnetic Hamiltonian of the gl(M|N) spin chain of alternating fundamental and dual representations. After extensive numerical analysis, we identify the vacuum and low lying excitations and with this knowledge perform the continuum limit, while keeping a finite gap. All gl(n+N|N) spin chains with n,N>0 are shown to possess in the continuum limit 2n-2 multiplets of massive particles which scatter with gl(n) Gross-Neveu like S-matrices, namely their eigenvalues do not depend on N. We argue that the continuum theory is the gl(M|N) Gross-Neveu model. We then look for remaining particles in the gl(2m|1) chains. The results suggest there is a continuum of such particles, which in order to be fully understood require finite volume calculations.

13.173749

14.596126

13.918831

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11.935805

12.759564

12.383056

12.364839

12.330465

12.394661

12.227364

12.281908

12.703288

12.107427

hep-th/0210193

Pedro J. Silva

String bits and the Myers effect

6 pages, talk given in the at the 24th annual Montreal-Rochester-Syracuse-Toronto (MRST) Conference on Theoretical Physics, May 15-1702 2002. Proceedings will be published by the American Institute of Physics

AIP Conf.Proc. 646 (2003) 77-82

null

SUGR-02/10-2

hep-th

null

Based on the non-abelian effective action for D1-branes, a new action for matrix string theory in non-trivial backgrounds is proposed. Once the background fields are included, new interactions bring the possibility of non-commutative solutions i.e. The Myers effect for ``string bits'' .

[ { "created": "Mon, 21 Oct 2002 12:47:42 GMT", "version": "v1" } ]

2007-05-23

[ [ "Silva", "Pedro J.", "" ] ]

Based on the non-abelian effective action for D1-branes, a new action for matrix string theory in non-trivial backgrounds is proposed. Once the background fields are included, new interactions bring the possibility of non-commutative solutions i.e. The Myers effect for ``string bits'' .

24.157619

17.813705

23.830288

17.65086

18.19157

17.209719

18.709976

18.711782

17.395632

24.056854

17.563377

19.259928

23.30538

19.387135

18.903063

18.719318

18.577707

18.298841

18.65547

24.058455

17.842571

hep-th/9610164

Kazuo Fujikawa

Kazuo Fujikawa(Univ. of Tokyo), Harunobu Kubo(Univ. of Yokyo) and C. H. Oh(National Univ. of Singapore)

A Schwinger term in q-deformed su(2) algebra

9 pages. A couple of clarifying comments have been added. This modified version has been published in Mod. Phys. Lett. A

Mod.Phys.Lett. A12 (1997) 403-410

10.1142/S0217732397000418

UT-761, 1996

hep-th cond-mat

null

An extra term generally appears in the q-deformed $su(2)$ algebra for the deformation parameter $q = \exp{ 2 \pi i\theta}$, if one combines the Biedenharn-Macfarlane construction of q-deformed $su(2)$, which is a generalization of Schwinger's construction of conventional $su(2)$, with the representation of the q-deformed oscillator algebra which is manifestly free of negative norm. This extra term introduced by the requirement of positive norm is analogous to the Schwinger term in current algebra. Implications of this extra term on the Bloch electron problem analyzed by Wiegmann and Zabrodin are briefly discussed.

[ { "created": "Tue, 22 Oct 1996 06:36:46 GMT", "version": "v1" }, { "created": "Mon, 24 Mar 1997 06:34:31 GMT", "version": "v2" } ]

2009-10-30

[ [ "Fujikawa", "Kazuo", "", "Univ. of Tokyo" ], [ "Kubo", "Harunobu", "", "Univ. of Yokyo" ], [ "Oh", "C. H.", "", "National Univ. of Singapore" ] ]

An extra term generally appears in the q-deformed $su(2)$ algebra for the deformation parameter $q = \exp{ 2 \pi i\theta}$, if one combines the Biedenharn-Macfarlane construction of q-deformed $su(2)$, which is a generalization of Schwinger's construction of conventional $su(2)$, with the representation of the q-deformed oscillator algebra which is manifestly free of negative norm. This extra term introduced by the requirement of positive norm is analogous to the Schwinger term in current algebra. Implications of this extra term on the Bloch electron problem analyzed by Wiegmann and Zabrodin are briefly discussed.

8.353863

8.271119

10.151834

7.529464

8.619818

7.542969

9.20633

7.117183

7.337281

8.619898

7.724806

7.726405

8.566679

7.461597

7.879446

7.304043

7.739519

7.700699

7.587832

8.786527

7.656281

2304.07141

Silvia Nagy

Arthur Lipstein and Silvia Nagy

Self-dual gravity and color/kinematics duality in AdS$_4$

Updated to match published version. Minor clarifications added

null

hep-th gr-qc

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

We show that self-dual gravity in Euclidean four-dimensional Anti-de Sitter space (AdS$_4$) can be described by a minimally coupled scalar field with a cubic interaction written in terms of a deformed Poisson bracket, providing a remarkably simple generalisation of the Plebanski action for self-dual gravity in flat space. This implies a novel symmetry algebra in self-dual gravity, notably an AdS$_4$ version of the so-called kinematic algebra. We also obtain the 3-point interaction vertex of self-dual gravity in AdS$_4$ from that of self-dual Yang-Mills by replacing the structure constants of the Lie group with the structure constants of the new kinematic algebra, implying that self-dual gravity in AdS$_4$ can be derived from self-dual Yang-Mills in this background via a double copy. This provides a concrete starting point for defining the double copy for Einstein gravity in AdS$_4$ by expanding around the self-dual sector. Moreover, we show that the new kinematic Lie algebra can be lifted to a deformed version of the $w_{1+\infty}$ algebra, which plays a prominent role in celestial holography.

[ { "created": "Fri, 14 Apr 2023 14:05:16 GMT", "version": "v1" }, { "created": "Mon, 15 May 2023 14:25:03 GMT", "version": "v2" }, { "created": "Tue, 1 Aug 2023 19:12:36 GMT", "version": "v3" } ]

2023-08-03

[ [ "Lipstein", "Arthur", "" ], [ "Nagy", "Silvia", "" ] ]

We show that self-dual gravity in Euclidean four-dimensional Anti-de Sitter space (AdS$_4$) can be described by a minimally coupled scalar field with a cubic interaction written in terms of a deformed Poisson bracket, providing a remarkably simple generalisation of the Plebanski action for self-dual gravity in flat space. This implies a novel symmetry algebra in self-dual gravity, notably an AdS$_4$ version of the so-called kinematic algebra. We also obtain the 3-point interaction vertex of self-dual gravity in AdS$_4$ from that of self-dual Yang-Mills by replacing the structure constants of the Lie group with the structure constants of the new kinematic algebra, implying that self-dual gravity in AdS$_4$ can be derived from self-dual Yang-Mills in this background via a double copy. This provides a concrete starting point for defining the double copy for Einstein gravity in AdS$_4$ by expanding around the self-dual sector. Moreover, we show that the new kinematic Lie algebra can be lifted to a deformed version of the $w_{1+\infty}$ algebra, which plays a prominent role in celestial holography.

5.568823

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5.037568

5.056815

5.015319

5.487388

5.14865

hep-th/9709012

Mourad

J. Mourad

Anomalies of the SO(32) five-brane and their cancellation

10 pages, LaTeX

Nucl.Phys. B512 (1998) 199-208

10.1016/S0550-3213(97)00774-8

LPTM 97/44

hep-th

null

The anomaly due to the chiral fermions on the world-volume of the SO(32) five-brane is calculated. It is shown that this contribution has the correct structure for it to be cancelled by the variation of the classical world-volume action. The cancellation mechanism requires a Green-Schwarz-like term in the classical action. The result confirms the field content of the SO(32) five-brane proposed by Witten.

[ { "created": "Mon, 1 Sep 1997 16:45:24 GMT", "version": "v1" } ]

2009-10-30

[ [ "Mourad", "J.", "" ] ]

The anomaly due to the chiral fermions on the world-volume of the SO(32) five-brane is calculated. It is shown that this contribution has the correct structure for it to be cancelled by the variation of the classical world-volume action. The cancellation mechanism requires a Green-Schwarz-like term in the classical action. The result confirms the field content of the SO(32) five-brane proposed by Witten.

7.238975

5.836906

7.253981

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6.415046

6.859637

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6.197095

6.700824

6.089258

6.251262

6.255204

6.253233

6.279207

6.088756

6.52253

6.063823

hep-th/0601206

O-Kab Kwon

Chanju Kim, Yoonbai Kim, O-Kab Kwon, Ho-Ung Yee

Tachyon Kinks in Boundary String Field Theory

LaTex, 29 pages, 17 Figures

JHEP0603:086,2006

10.1088/1126-6708/2006/03/086

null

hep-th

null

We study tachyon kinks with and without electromagnetic fields in the context of boundary string field theory. For the case of pure tachyon only an array of kink-antikink is obtained. In the presence of electromagnetic coupling, all possible static codimension-one soliton solutions such as array of kink-antikink, single topological BPS kink, bounce, half kink, as well as nonBPS topological kink are found, and their properties including the interpretation as branes are analyzed in detail. Spectrum of the obtained kinks coincides with that of Dirac-Born-Infeld type effective theory.

[ { "created": "Fri, 27 Jan 2006 20:14:05 GMT", "version": "v1" } ]

2009-11-11

[ [ "Kim", "Chanju", "" ], [ "Kim", "Yoonbai", "" ], [ "Kwon", "O-Kab", "" ], [ "Yee", "Ho-Ung", "" ] ]

We study tachyon kinks with and without electromagnetic fields in the context of boundary string field theory. For the case of pure tachyon only an array of kink-antikink is obtained. In the presence of electromagnetic coupling, all possible static codimension-one soliton solutions such as array of kink-antikink, single topological BPS kink, bounce, half kink, as well as nonBPS topological kink are found, and their properties including the interpretation as branes are analyzed in detail. Spectrum of the obtained kinks coincides with that of Dirac-Born-Infeld type effective theory.

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