LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1306.2962

Song He

Freddy Cachazo, Song He, Ellis Ye Yuan

Scattering in Three Dimensions from Rational Maps

21 pages

null

10.1007/JHEP10(2013)141

null

hep-th

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

The complete tree-level S-matrix of four dimensional ${\cal N}=4$ super Yang-Mills and ${\cal N} = 8$ supergravity has compact forms as integrals over the moduli space of certain rational maps. In this note we derive formulas for amplitudes in three dimensions by using the fact that when amplitudes are dressed with proper wave functions dimensional reduction becomes straightforward. This procedure leads to formulas in terms of rational maps for three dimensional maximally supersymmetric Yang-Mills and gravity theories. The integrand of the new formulas contains three basic structures: Parke-Taylor-like factors, Vandermonde determinants and resultants. Integrating out some of the Grassmann directions produces formulas for theories with less than maximal supersymmetry, which exposes yet a fourth kind of structure. Combining all four basic structures we start a search for consistent S-matrices in three dimensions. Very nicely, the most natural ones are those corresponding to ABJM and BLG theories. We also make a connection between the power of a resultant in the integrand, representations of the Poincar\'e group, infrared behavior and conformality of a theory. Extensions to other theories in three dimensions and to arbitrary dimensions are also discussed.

[ { "created": "Wed, 12 Jun 2013 20:05:27 GMT", "version": "v1" } ]

2015-06-16

[ [ "Cachazo", "Freddy", "" ], [ "He", "Song", "" ], [ "Yuan", "Ellis Ye", "" ] ]

The complete tree-level S-matrix of four dimensional ${\cal N}=4$ super Yang-Mills and ${\cal N} = 8$ supergravity has compact forms as integrals over the moduli space of certain rational maps. In this note we derive formulas for amplitudes in three dimensions by using the fact that when amplitudes are dressed with proper wave functions dimensional reduction becomes straightforward. This procedure leads to formulas in terms of rational maps for three dimensional maximally supersymmetric Yang-Mills and gravity theories. The integrand of the new formulas contains three basic structures: Parke-Taylor-like factors, Vandermonde determinants and resultants. Integrating out some of the Grassmann directions produces formulas for theories with less than maximal supersymmetry, which exposes yet a fourth kind of structure. Combining all four basic structures we start a search for consistent S-matrices in three dimensions. Very nicely, the most natural ones are those corresponding to ABJM and BLG theories. We also make a connection between the power of a resultant in the integrand, representations of the Poincar\'e group, infrared behavior and conformality of a theory. Extensions to other theories in three dimensions and to arbitrary dimensions are also discussed.

10.606729

9.882185

11.656797

9.867048

10.641106

10.199983

11.110937

10.202174

10.235824

12.582277

9.593744

9.885719

10.783326

10.016912

10.274136

10.126013

10.144918

9.89652

10.111209

10.739593

9.991252

hep-th/0005057

Martin Porrmann

The Concept of Particle Weights in Local Quantum Field Theory

PhD thesis, 124 pages, amslatex, mathptm

null

hep-th math-ph math.MP

null

The concept of particle weights has been introduced by Buchholz and the author in order to obtain a unified treatment of particles as well as (charged) infraparticles which do not permit a definition of mass and spin according to Wigner's theory. Particle weights arise as temporal limits of physical states in the vacuum sector and describe the asymptotic particle content. Following a thorough analysis of the underlying notion of localizing operators, we give a precise definition of this concept and investigate the characteristic properties. The decomposition of particle weights into pure components which are linked to irreducible representations of the quasi-local algebra has been a long-standing desideratum that only recently found its solution. We set out two approaches to this problem by way of disintegration theory, making use of a physically motivated assumption concerning the structure of phase space in quantum field theory. The significance of the pure particle weights ensuing from this disintegration is founded on the fact that they exhibit features of improper energy-momentum eigenstates, analogous to Dirac's conception, and permit a consistent definition of mass and spin even in an infraparticle situation.

[ { "created": "Sat, 6 May 2000 13:30:57 GMT", "version": "v1" } ]

2007-05-23

[ [ "Porrmann", "Martin", "" ] ]

The concept of particle weights has been introduced by Buchholz and the author in order to obtain a unified treatment of particles as well as (charged) infraparticles which do not permit a definition of mass and spin according to Wigner's theory. Particle weights arise as temporal limits of physical states in the vacuum sector and describe the asymptotic particle content. Following a thorough analysis of the underlying notion of localizing operators, we give a precise definition of this concept and investigate the characteristic properties. The decomposition of particle weights into pure components which are linked to irreducible representations of the quasi-local algebra has been a long-standing desideratum that only recently found its solution. We set out two approaches to this problem by way of disintegration theory, making use of a physically motivated assumption concerning the structure of phase space in quantum field theory. The significance of the pure particle weights ensuing from this disintegration is founded on the fact that they exhibit features of improper energy-momentum eigenstates, analogous to Dirac's conception, and permit a consistent definition of mass and spin even in an infraparticle situation.

13.810332

14.945244

15.744847

14.378798

14.805642

15.227783

15.47707

14.546207

15.698376

16.212395

14.752312

13.880925

14.119863

13.694452

13.667021

13.656438

13.559176

13.711654

13.834046

14.035806

14.159036

1603.01105

Luis E. Oxman

L. E. Oxman, D. Vercauteren

Exploring center vortices in SU(2) and SU(3) relativistic Yang-Mills-Higgs models

25 pages, 5 figures

null

10.1103/PhysRevD.95.025001

null

hep-th

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

We develop numerical tools and apply them to solve the relativistic Yang--Mills--Higgs equations in a model where the SU(N) symmetry is spontaneously broken to its center. In SU(2) and SU(3), we obtain the different field profiles for infinite and finite center vortices, with endpoints at external monopole sources. Exploration of parameter space permits the detection of a region where the equations get Abelianized. Finally, a general parametrization of the color structure of SU(2) fields leads us to a reference point where an Abelian-like BPS bound is reconciled with N-ality.

[ { "created": "Thu, 3 Mar 2016 14:05:58 GMT", "version": "v1" } ]

2017-02-01

[ [ "Oxman", "L. E.", "" ], [ "Vercauteren", "D.", "" ] ]

We develop numerical tools and apply them to solve the relativistic Yang--Mills--Higgs equations in a model where the SU(N) symmetry is spontaneously broken to its center. In SU(2) and SU(3), we obtain the different field profiles for infinite and finite center vortices, with endpoints at external monopole sources. Exploration of parameter space permits the detection of a region where the equations get Abelianized. Finally, a general parametrization of the color structure of SU(2) fields leads us to a reference point where an Abelian-like BPS bound is reconciled with N-ality.

18.274752

16.840246

17.693676

14.921888

16.328114

17.305248

17.288406

16.731262

15.002913

16.73069

15.896831

16.391926

16.76782

16.605692

15.951101

15.634242

15.617776

15.896117

16.33283

15.889195

16.49634

1201.5118

Vitor Cardoso

Vitor Cardoso, Leonardo Gualtieri, Carlos Herdeiro, Ulrich Sperhake, Paul M. Chesler, Luis Lehner, Seong Chan Park, Harvey S. Reall, Carlos F. Sopuerta, Daniela Alic, Oscar J. C. Dias, Roberto Emparan, Valeria Ferrari, Steven B. Giddings, Mahdi Godazgar, Ruth Gregory, Veronika E. Hubeny, Akihiro Ishibashi, Greg Landsberg, Carlos O. Lousto, David Mateos, Vicki Moeller, Hirotada Okawa, Paolo Pani, M. Andy Parker, Frans Pretorius, Masaru Shibata, Hajime Sotani, Toby Wiseman, Helvi Witek, Nicolas Yunes, Miguel Zilhao

NR/HEP: roadmap for the future

68 pages, 4 Figures

null

10.1088/0264-9381/29/24/244001

null

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

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

Physics in curved spacetime describes a multitude of phenomena, ranging from astrophysics to high energy physics. The last few years have witnessed further progress on several fronts, including the accurate numerical evolution of the gravitational field equations, which now allows highly nonlinear phenomena to be tamed. Numerical relativity simulations, originally developed to understand strong field astrophysical processes, could prove extremely useful to understand high-energy physics processes like trans-Planckian scattering and gauge-gravity dualities. We present a concise and comprehensive overview of the state-of-the-art and important open problems in the field(s), along with guidelines for the next years. This writeup is a summary of the "NR/HEP Workshop" held in Madeira, Portugal from August 31st to September 3rd 2011.

[ { "created": "Tue, 24 Jan 2012 21:00:04 GMT", "version": "v1" } ]

2015-06-03

[ [ "Cardoso", "Vitor", "" ], [ "Gualtieri", "Leonardo", "" ], [ "Herdeiro", "Carlos", "" ], [ "Sperhake", "Ulrich", "" ], [ "Chesler", "Paul M.", "" ], [ "Lehner", "Luis", "" ], [ "Park", "Seong Chan", "" ], [ "Reall", "Harvey S.", "" ], [ "Sopuerta", "Carlos F.", "" ], [ "Alic", "Daniela", "" ], [ "Dias", "Oscar J. C.", "" ], [ "Emparan", "Roberto", "" ], [ "Ferrari", "Valeria", "" ], [ "Giddings", "Steven B.", "" ], [ "Godazgar", "Mahdi", "" ], [ "Gregory", "Ruth", "" ], [ "Hubeny", "Veronika E.", "" ], [ "Ishibashi", "Akihiro", "" ], [ "Landsberg", "Greg", "" ], [ "Lousto", "Carlos O.", "" ], [ "Mateos", "David", "" ], [ "Moeller", "Vicki", "" ], [ "Okawa", "Hirotada", "" ], [ "Pani", "Paolo", "" ], [ "Parker", "M. Andy", "" ], [ "Pretorius", "Frans", "" ], [ "Shibata", "Masaru", "" ], [ "Sotani", "Hajime", "" ], [ "Wiseman", "Toby", "" ], [ "Witek", "Helvi", "" ], [ "Yunes", "Nicolas", "" ], [ "Zilhao", "Miguel", "" ] ]

Physics in curved spacetime describes a multitude of phenomena, ranging from astrophysics to high energy physics. The last few years have witnessed further progress on several fronts, including the accurate numerical evolution of the gravitational field equations, which now allows highly nonlinear phenomena to be tamed. Numerical relativity simulations, originally developed to understand strong field astrophysical processes, could prove extremely useful to understand high-energy physics processes like trans-Planckian scattering and gauge-gravity dualities. We present a concise and comprehensive overview of the state-of-the-art and important open problems in the field(s), along with guidelines for the next years. This writeup is a summary of the "NR/HEP Workshop" held in Madeira, Portugal from August 31st to September 3rd 2011.

11.386111

10.464034

10.909679

10.2879

10.940107

11.194272

10.901291

10.313898

11.321328

11.136896

10.395343

10.706988

10.008544

10.008499

10.285231

10.402

10.689692

9.969351

10.330465

10.202566

10.211018

hep-th/9608167

Shahin Sheikh Jabbari

H. Arfaei and M.M. Sheikh Jabbari

Different D-brane Interactions

Tex, 12 pages. Typographical errors are corrected, minor changes done, acknowledgements added

Phys.Lett.B394:288-296,1997

10.1016/S0370-2693(97)00022-1

IPM-96-163

hep-th

null

We use rotation of one D-brane with respect to the other to reveal the hidden structure of D-branes in type-II theories. This is done by calculation of the interaction amplitude for two different parallel and angled branes. The analysis of strings with different boundary conditions at the ends is also given. The stable configuration for two similar branes occurs when they are anti-parallel. For branes of different dimensions stability is attained for either parallel or anti-parallel configurations and when dimensions differ by four the amplitude vanishes at the stable point. The results serve as more evidence that D-branes are stringy descriptions of non-perturbative extended solutions of SUGRA theories, as low energy approximation of superstrings.

[ { "created": "Sun, 25 Aug 1996 20:48:47 GMT", "version": "v1" }, { "created": "Mon, 30 Sep 1996 14:31:41 GMT", "version": "v2" } ]

2009-10-07

[ [ "Arfaei", "H.", "" ], [ "Jabbari", "M. M. Sheikh", "" ] ]

We use rotation of one D-brane with respect to the other to reveal the hidden structure of D-branes in type-II theories. This is done by calculation of the interaction amplitude for two different parallel and angled branes. The analysis of strings with different boundary conditions at the ends is also given. The stable configuration for two similar branes occurs when they are anti-parallel. For branes of different dimensions stability is attained for either parallel or anti-parallel configurations and when dimensions differ by four the amplitude vanishes at the stable point. The results serve as more evidence that D-branes are stringy descriptions of non-perturbative extended solutions of SUGRA theories, as low energy approximation of superstrings.

14.236732

15.537394

15.310626

13.578486

13.384719

14.625628

13.802047

14.030161

13.571383

16.961281

13.555197

14.1229

13.743535

13.634404

13.936346

14.008613

13.805088

14.337453

14.302492

14.772092

13.622106

hep-th/9801167

Andrei G. Pronko

A.G. Izergin, A.G. Pronko, N.I. Abarenkova

Temperature correlators in the one-dimensional Hubbard model in the strong coupling limit

14 pages, LaTeX; some comments are added, a few misprints are corrected

Phys.Lett. A245 (1998) 537-547

10.1016/S0375-9601(98)00442-3

PDMI PREPRINT - 5/1998

hep-th

null

We consider the one-dimensional Hubbard model with the infinitely strong repulsion. The two-point dynamical temperature correlation functions are calculated. They are represented as Fredholm determinants of linear integrable integral operators.

[ { "created": "Mon, 26 Jan 1998 10:01:39 GMT", "version": "v1" }, { "created": "Tue, 27 Jan 1998 02:11:25 GMT", "version": "v2" }, { "created": "Tue, 19 May 1998 18:55:03 GMT", "version": "v3" } ]

2009-10-31

[ [ "Izergin", "A. G.", "" ], [ "Pronko", "A. G.", "" ], [ "Abarenkova", "N. I.", "" ] ]

We consider the one-dimensional Hubbard model with the infinitely strong repulsion. The two-point dynamical temperature correlation functions are calculated. They are represented as Fredholm determinants of linear integrable integral operators.

14.29

16.617456

18.146938

13.041081

13.802123

13.827906

15.998342

15.856332

13.435713

21.045624

13.047102

13.924562

18.846613

15.088334

15.568746

13.882593

15.333282

15.205341

16.121582

16.723206

13.68177

2106.08753

Nick Evans

Jesus Cruz Rojas, Nick Evans, Jack Mitchell

Domain Wall Fermions on the Brane

15 pages, 12 figures

Phys. Rev. D 104, 054029 (2021)

10.1103/PhysRevD.104.054029

null

hep-th hep-lat hep-ph

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

We study domain wall fermions and their condensation in the D3/probe D7 system. A spatially dependent mass term for the N=2 hypermultiplet can be arranged to isolate distinct two component fermions on two 2+1 dimensional domain walls. We argue that the system shows condensation/mass generation analogous to the D3/probe D5 anti-D5 system. The chiral condensate and pion mass can be directly computed on the domain wall. We provide evidence that these systems with the domains separated by a width w have a bare (current) quark mass that scales as 1/w when the spatial dependent mass is large. Adding a magnetic field does not induce chiral symmetry breaking between the separated domain wall fermions, but a similar phenomenological dilaton factor can be made strong enough to introduce spontaneous symmetry breaking. We show a Gell-Man-Oakes-Renner relation for the pions in that case and also for the case where the D7 probe is in a back-reacted dilaton flow geometry. The vacuum configurations can also be interpreted as having a spontaneously generated mass by a Nambu-Jona-Lasinio four fermion operator, depending on the choice of boundary conditions on fluctuations, according to Witten's multi-trace prescription.

[ { "created": "Wed, 16 Jun 2021 13:01:20 GMT", "version": "v1" } ]

2021-09-29

[ [ "Rojas", "Jesus Cruz", "" ], [ "Evans", "Nick", "" ], [ "Mitchell", "Jack", "" ] ]

We study domain wall fermions and their condensation in the D3/probe D7 system. A spatially dependent mass term for the N=2 hypermultiplet can be arranged to isolate distinct two component fermions on two 2+1 dimensional domain walls. We argue that the system shows condensation/mass generation analogous to the D3/probe D5 anti-D5 system. The chiral condensate and pion mass can be directly computed on the domain wall. We provide evidence that these systems with the domains separated by a width w have a bare (current) quark mass that scales as 1/w when the spatial dependent mass is large. Adding a magnetic field does not induce chiral symmetry breaking between the separated domain wall fermions, but a similar phenomenological dilaton factor can be made strong enough to introduce spontaneous symmetry breaking. We show a Gell-Man-Oakes-Renner relation for the pions in that case and also for the case where the D7 probe is in a back-reacted dilaton flow geometry. The vacuum configurations can also be interpreted as having a spontaneously generated mass by a Nambu-Jona-Lasinio four fermion operator, depending on the choice of boundary conditions on fluctuations, according to Witten's multi-trace prescription.

13.585464

13.988955

15.094991

13.953236

14.437037

14.519421

13.324934

13.165698

13.720222

16.661375

12.942513

13.245284

14.069736

13.609289

13.91834

13.107277

13.529355

13.532372

13.708868

13.957711

13.109481

hep-th/9912204

null

Ralph Blumenhagen, Lars Goerlich and Boris Kors

Supersymmetric 4D Orientifolds of Type IIA with D6-branes at Angles

28 pages, LaTeX, 6 figures; v2: slight modification of closed string spectra

JHEP 0001 (2000) 040

10.1088/1126-6708/2000/01/040

HUB-EP-99/63

hep-th

null

We study a certain class of four-dimensional N=1 supersymmetric orientifolds for which the world-sheet parity transformation is combined with a complex conjugation in the compact directions. We investigate in detail the orientifolds of the Z_3, Z_4, Z_6 and Z_6' toroidal orbifolds finding solutions to the tadpole cancellation conditions for all models. Generically, all the massless spectra turn out to be non-chiral.

[ { "created": "Tue, 21 Dec 1999 16:02:53 GMT", "version": "v1" }, { "created": "Mon, 10 Jan 2000 14:07:01 GMT", "version": "v2" } ]

2009-10-31

[ [ "Blumenhagen", "Ralph", "" ], [ "Goerlich", "Lars", "" ], [ "Kors", "Boris", "" ] ]

We study a certain class of four-dimensional N=1 supersymmetric orientifolds for which the world-sheet parity transformation is combined with a complex conjugation in the compact directions. We investigate in detail the orientifolds of the Z_3, Z_4, Z_6 and Z_6' toroidal orbifolds finding solutions to the tadpole cancellation conditions for all models. Generically, all the massless spectra turn out to be non-chiral.

6.488851

4.933259

6.925212

5.021225

4.86656

4.969307

4.968942

4.710254

5.12198

6.095539

4.967585

5.194489

6.108586

5.301476

5.310573

5.451137

5.45776

5.31945

5.257346

6.310401

5.476071

1510.00709

Benson Way

Benjamin E. Niehoff, Jorge E. Santos, and Benson Way

Towards a violation of cosmic censorship

21 pages, 1 figure

null

10.1088/0264-9381/33/18/185012

null

hep-th gr-qc

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

Numerical evidence suggests that the superradiant instability of Kerr-AdS black holes and "black resonators" evolves to smaller and smaller scales towards a "limiting" black resonator. Using $AdS_4$ supergravity, we argue that this putative endpoint to the superradiant instability does not exist.

[ { "created": "Fri, 2 Oct 2015 20:04:14 GMT", "version": "v1" } ]

2016-09-21

[ [ "Niehoff", "Benjamin E.", "" ], [ "Santos", "Jorge E.", "" ], [ "Way", "Benson", "" ] ]

Numerical evidence suggests that the superradiant instability of Kerr-AdS black holes and "black resonators" evolves to smaller and smaller scales towards a "limiting" black resonator. Using $AdS_4$ supergravity, we argue that this putative endpoint to the superradiant instability does not exist.

12.020362

10.664429

10.722939

10.348283

11.866456

11.227015

10.453157

9.420941

11.468603

13.892742

11.285715

12.283509

11.817437

11.347496

12.067725

12.03842

11.791244

11.639593

11.651098

12.050575

11.433082

hep-th/9903120

Yuji Sugawara

Yuji Sugawara (Univ. of Tokyo)

N=(0,4) Quiver $SCFT_2$ and Supergravity on $AdS_3 \times S^2$

31 pages, section 3 and 4 are improved, some errata are corrected, the final version to be published in JHEP

JHEP 9906:035,1999

10.1088/1126-6708/1999/06/035

UT-835

hep-th

null

We study the proposed duality between the 5-dimensional supergravity/superstring on $AdS_3\times S^2$ and the 2-dimensional N=(0,4) SCFT defined on the boundary of AdS-space. We construct explicitly the N=(0,4) SCFT by imposing the `quiver projection' developed by Douglas-Moore on the N=(4,4) SCFT of symmetric orbifold, which is proposed to be the dual of the 6-dimensional supergravity/superstring on $AdS_3\times S^3$. We explore in detail the spectrum of chiral primaries in this `quiver $SCFT_2$'. We compare it with the Kaluza-Klein spectrum on $AdS_3\times S^2$ and check the consistency between them. We further emphasize that orbifolding of bulk theory should {\em not} correspond to orbifolding of the boundary CFT in the usual sense of two dimensional CFT, rather corresponds to the quiver projection. We observe that these are not actually equivalent with each other when we focus on the multi-particle states.

[ { "created": "Mon, 15 Mar 1999 05:41:03 GMT", "version": "v1" }, { "created": "Wed, 5 May 1999 05:39:39 GMT", "version": "v2" }, { "created": "Tue, 6 Jul 1999 02:10:00 GMT", "version": "v3" } ]

2010-02-03

[ [ "Sugawara", "Yuji", "", "Univ. of Tokyo" ] ]

We study the proposed duality between the 5-dimensional supergravity/superstring on $AdS_3\times S^2$ and the 2-dimensional N=(0,4) SCFT defined on the boundary of AdS-space. We construct explicitly the N=(0,4) SCFT by imposing the `quiver projection' developed by Douglas-Moore on the N=(4,4) SCFT of symmetric orbifold, which is proposed to be the dual of the 6-dimensional supergravity/superstring on $AdS_3\times S^3$. We explore in detail the spectrum of chiral primaries in this `quiver $SCFT_2$'. We compare it with the Kaluza-Klein spectrum on $AdS_3\times S^2$ and check the consistency between them. We further emphasize that orbifolding of bulk theory should {\em not} correspond to orbifolding of the boundary CFT in the usual sense of two dimensional CFT, rather corresponds to the quiver projection. We observe that these are not actually equivalent with each other when we focus on the multi-particle states.

6.59445

6.510599

6.912053

6.308852

6.695407

6.127049

6.950228

6.249634

6.571143

7.223658

6.471751

6.378862

6.402804

6.486338

6.381155

6.226193

6.281826

6.143694

6.377082

6.608503

6.462186

2401.14449

Ben Heidenreich

Ben Heidenreich and Matteo Lotito

Proving the Weak Gravity Conjecture in Perturbative String Theory, Part I: The Bosonic String

33 pages plus appendices, 6 figures

null

ACF-T24-01

hep-th

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

We present a complete proof of the Weak Gravity Conjecture in any perturbative bosonic string theory in spacetime dimension $D\ge6$. Our proof works by relating the black hole extremality bound to long range forces, which are more easily calculated on the worldsheet, closing the gaps in partial arguments in the existing literature. We simultaneously establish a strict, sublattice form of the conjecture in the same class of theories. We close by discussing the scope and limitations of our analysis, along with possible extensions including an upcoming generalization of our work to the superstring.

[ { "created": "Thu, 25 Jan 2024 19:00:00 GMT", "version": "v1" } ]

2024-01-29

[ [ "Heidenreich", "Ben", "" ], [ "Lotito", "Matteo", "" ] ]

We present a complete proof of the Weak Gravity Conjecture in any perturbative bosonic string theory in spacetime dimension $D\ge6$. Our proof works by relating the black hole extremality bound to long range forces, which are more easily calculated on the worldsheet, closing the gaps in partial arguments in the existing literature. We simultaneously establish a strict, sublattice form of the conjecture in the same class of theories. We close by discussing the scope and limitations of our analysis, along with possible extensions including an upcoming generalization of our work to the superstring.

12.551208

11.581141

13.154613

11.200008

12.383018

12.833512

12.628551

11.119867

11.169086

15.725477

11.250497

11.406708

12.099917

11.996199

12.189012

11.797473

11.551913

11.475466

12.098802

12.237782

11.717763

1508.04139

Evgeny Skvortsov D

Nicolas Boulanger, Pan Kessel, E.D. Skvortsov, Massimo Taronna

Higher Spin Interactions in Four Dimensions: Vasiliev vs. Fronsdal

56 pages=40+Appendices; 1 figure; typos fixed, one ref added

null

10.1088/1751-8113/49/9/095402

null

hep-th

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

We consider four-dimensional Higher-Spin Theory at the first nontrivial order corresponding to the cubic action. All Higher-Spin interaction vertices are explicitly obtained from Vasiliev's equations. In particular, we obtain the vertices that are not determined solely by the Higher-Spin algebra structure constants. The dictionary between the Fronsdal fields and Higher-Spin connections is found and the corrections to the Fronsdal equations are derived. These corrections turn out to involve derivatives of arbitrary order. We observe that the vertices not determined by the Higher-Spin algebra produce naked infinities, when decomposed into the minimal derivative vertices and improvements. Therefore, standard methods can only be used to check a rather limited number of correlation functions within the HS AdS/CFT duality. A possible resolution of the puzzle is discussed.

[ { "created": "Mon, 17 Aug 2015 20:04:41 GMT", "version": "v1" }, { "created": "Sat, 12 Dec 2015 13:35:52 GMT", "version": "v2" } ]

2016-02-17

[ [ "Boulanger", "Nicolas", "" ], [ "Kessel", "Pan", "" ], [ "Skvortsov", "E. D.", "" ], [ "Taronna", "Massimo", "" ] ]

We consider four-dimensional Higher-Spin Theory at the first nontrivial order corresponding to the cubic action. All Higher-Spin interaction vertices are explicitly obtained from Vasiliev's equations. In particular, we obtain the vertices that are not determined solely by the Higher-Spin algebra structure constants. The dictionary between the Fronsdal fields and Higher-Spin connections is found and the corrections to the Fronsdal equations are derived. These corrections turn out to involve derivatives of arbitrary order. We observe that the vertices not determined by the Higher-Spin algebra produce naked infinities, when decomposed into the minimal derivative vertices and improvements. Therefore, standard methods can only be used to check a rather limited number of correlation functions within the HS AdS/CFT duality. A possible resolution of the puzzle is discussed.

13.002268

12.708399

14.250394

11.621267

12.613268

13.307013

11.574558

12.128453

12.458202

14.53615

12.166971

12.007808

12.1085

12.362654

12.269223

12.139089

12.389369

11.962329

12.278505

12.815406

11.992756

1910.02604

Ulf Leonhardt

Comment on Self-Stress on a Dielectric Ball and Casimir-Polder Forces

null

hep-th

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

In our paper [Ann. Phys. (NY) 395, 326 (2018)] we calculate the Casimir stress on a sphere immersed in a homogeneous background, assuming dispersionless dielectrics. Our results appear to challenge the conventional picture of Casimir forces. The paper [arXiv:1909.05721] criticises our approach without offering an alternative. In particular, the paper [arXiv:1909.05721] claims that we have made an unjustified mathematical step. This brief comment clarifies the matter.

[ { "created": "Mon, 7 Oct 2019 04:29:18 GMT", "version": "v1" } ]

2019-10-08

[ [ "Leonhardt", "Ulf", "" ] ]

In our paper [Ann. Phys. (NY) 395, 326 (2018)] we calculate the Casimir stress on a sphere immersed in a homogeneous background, assuming dispersionless dielectrics. Our results appear to challenge the conventional picture of Casimir forces. The paper [arXiv:1909.05721] criticises our approach without offering an alternative. In particular, the paper [arXiv:1909.05721] claims that we have made an unjustified mathematical step. This brief comment clarifies the matter.

9.110196

9.643427

9.140764

8.930154

8.938684

9.210163

10.191302

8.410571

9.588273

9.926269

8.587124

8.65351

8.627523

8.314998

8.459713

8.586949

8.620154

8.326258

8.563296

8.583969

8.534119

hep-th/0403147

Jianxin Lu

J. X. Lu and S. Roy

Supergravity approach to tachyon condensation on the brane-antibrane system

9 pages

Phys.Lett. B599 (2004) 313-318

10.1016/j.physletb.2004.08.047

USTC-ICTS-04-07, MCTP-04-17

hep-th

null

We study the tachyon condensation on the D-brane--antiD-brane system from the supergravity point of view. The non-supersymmetric supergravity solutions with symmetry ISO($p,1$) $\times$ SO($9-p$) are known to be characterized by three parameters. By interpreting this solution as coincident $N$ D$p$-branes and ${\bar N}$ ${\bar {\rm D}}p$-branes we give, for the first time, an explicit representation of the three parameters of supergravity solutions in terms of $N, \bar N$ and the tachyon vev. We demonstrate that the solution and the corresponding ADM mass capture all the required properties and give a correct description of the tachyon condensation advocated by Sen on the D-brane--antiD-brane system.

[ { "created": "Sun, 14 Mar 2004 03:35:40 GMT", "version": "v1" } ]

2009-11-10

[ [ "Lu", "J. X.", "" ], [ "Roy", "S.", "" ] ]

We study the tachyon condensation on the D-brane--antiD-brane system from the supergravity point of view. The non-supersymmetric supergravity solutions with symmetry ISO($p,1$) $\times$ SO($9-p$) are known to be characterized by three parameters. By interpreting this solution as coincident $N$ D$p$-branes and ${\bar N}$ ${\bar {\rm D}}p$-branes we give, for the first time, an explicit representation of the three parameters of supergravity solutions in terms of $N, \bar N$ and the tachyon vev. We demonstrate that the solution and the corresponding ADM mass capture all the required properties and give a correct description of the tachyon condensation advocated by Sen on the D-brane--antiD-brane system.

6.041543

5.633795

6.823329

5.700966

5.850051

5.729629

5.519967

5.75989

5.721038

7.526645

5.539546

5.508913

6.338635

5.66577

5.628757

5.699607

5.627927

5.701437

5.860326

6.386047

5.658577

hep-th/0609161

Oscar A. Bedoya

Oscar A. Bedoya, Osvaldo Chandia

One-loop Conformal Invariance of the Type II Pure Spinor Superstring in a Curved Background

24 pages, harvmac tex, references added to section 1

JHEP 0701:042,2007

10.1088/1126-6708/2007/01/042

IFT-P 033/2006

hep-th

null

We compute the one-loop beta function for the Type II superstring using the pure spinor formalism in a generic supergravity background. It is known that the classical pure spinor BRST symmetry puts the background fields on-shell. In this paper we show that the one-loop beta functions vanish as a consequence of the classical BRST symmetry of the action.

[ { "created": "Fri, 22 Sep 2006 20:47:43 GMT", "version": "v1" }, { "created": "Wed, 4 Oct 2006 21:49:33 GMT", "version": "v2" } ]

2010-10-27

[ [ "Bedoya", "Oscar A.", "" ], [ "Chandia", "Osvaldo", "" ] ]

We compute the one-loop beta function for the Type II superstring using the pure spinor formalism in a generic supergravity background. It is known that the classical pure spinor BRST symmetry puts the background fields on-shell. In this paper we show that the one-loop beta functions vanish as a consequence of the classical BRST symmetry of the action.

7.249703

6.201548

7.514355

5.80918

5.69663

5.746272

5.704001

5.390823

5.350171

8.129583

5.744537

6.119774

7.649216

6.628701

6.311592

6.472253

6.213382

6.474662

6.392497

7.624266

6.110862

hep-th/0203227

Aref'eva Irina

I.Ya.Aref'eva, A.A.Giryavets and A.S.Koshelev

NS Ghost Slivers

27 pages, LATEX

Phys.Lett. B536 (2002) 138-146

10.1016/S0370-2693(02)01759-8

null

hep-th

null

Neveu-Schwarz ghost slivers in pictures zero and minus one are constructed. In particular, using algebraic methods $\beta$, $\gamma$ ghost sliver in the -1 picture is obtained. The algebraic method consists in solving a projector equation in an algebra, where the multiplication is defined by a pure 3-string vertex without any insertions at the string midpoint. We show that this projector is a sliver in a twisted version of $\beta$, $\gamma$ conformal theory. We also show that the product of the twisted $b$, $c$ and $\beta$, $\gamma$ ghost slivers solves an equation that appears after a special rescaling of super VSFT.

[ { "created": "Sun, 24 Mar 2002 18:07:48 GMT", "version": "v1" } ]

2009-11-07

[ [ "Aref'eva", "I. Ya.", "" ], [ "Giryavets", "A. A.", "" ], [ "Koshelev", "A. S.", "" ] ]

Neveu-Schwarz ghost slivers in pictures zero and minus one are constructed. In particular, using algebraic methods $\beta$, $\gamma$ ghost sliver in the -1 picture is obtained. The algebraic method consists in solving a projector equation in an algebra, where the multiplication is defined by a pure 3-string vertex without any insertions at the string midpoint. We show that this projector is a sliver in a twisted version of $\beta$, $\gamma$ conformal theory. We also show that the product of the twisted $b$, $c$ and $\beta$, $\gamma$ ghost slivers solves an equation that appears after a special rescaling of super VSFT.

17.222086

15.76858

19.56716

14.823539

16.900343

17.257183

16.309164

15.810525

15.466045

21.07667

15.696568

14.606583

16.042433

15.123607

14.813328

14.330502

14.598088

14.531621

14.646278

15.888941

15.818896

1602.04926

Ahmed Farag Ali

Amani Ashour, Mir Faizal, Ahmed Farag Ali, Fay\c{c}al Hammad

Branes in Gravity's Rainbow

12 pages, REVTeX 4, 5 figures. Accepted for Publication in The European Physical Journal C

Eur.Phys.J. C76 (2016) no.5, 264

10.1140/epjc/s10052-016-4124-7

null

hep-th

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

In this work, we investigate the thermodynamics of black $p$-branes (BB) in the context of Gravity's Rainbow. We investigate this using rainbow functions that have been motivated from loop quantum gravity and $\kappa$-Minkowski noncommutative spacetime. Then for the sake of comparison, we examine a couple of other rainbow functions that have also appeared in the literature. We show that, for consistency, Gravity's Rainbow imposes a constraint on the minimum mass of the BB, a constraint that we interpret here as implying the existence of a black $p$-brane remnant. This interpretation is supported by the computation of the black $p$-brane's heat capacity that shows that the latter vanishes when the Schwarzschild radius takes on a value that is bigger than its extremal limit. We found that the same conclusion is reached for the third version of rainbow functions treated here but not with the second one for which only standard black $p$-brane thermodynamics is recovered.

[ { "created": "Tue, 16 Feb 2016 07:22:19 GMT", "version": "v1" }, { "created": "Fri, 29 Apr 2016 14:12:40 GMT", "version": "v2" } ]

2016-05-17

[ [ "Ashour", "Amani", "" ], [ "Faizal", "Mir", "" ], [ "Ali", "Ahmed Farag", "" ], [ "Hammad", "Fayçal", "" ] ]

In this work, we investigate the thermodynamics of black $p$-branes (BB) in the context of Gravity's Rainbow. We investigate this using rainbow functions that have been motivated from loop quantum gravity and $\kappa$-Minkowski noncommutative spacetime. Then for the sake of comparison, we examine a couple of other rainbow functions that have also appeared in the literature. We show that, for consistency, Gravity's Rainbow imposes a constraint on the minimum mass of the BB, a constraint that we interpret here as implying the existence of a black $p$-brane remnant. This interpretation is supported by the computation of the black $p$-brane's heat capacity that shows that the latter vanishes when the Schwarzschild radius takes on a value that is bigger than its extremal limit. We found that the same conclusion is reached for the third version of rainbow functions treated here but not with the second one for which only standard black $p$-brane thermodynamics is recovered.

7.531868

7.347425

7.257846

7.273237

7.359746

7.510665

8.14221

7.14952

7.481777

7.757298

7.627347

7.11217

7.30121

7.293984

7.045793

7.107994

7.379572

7.166852

7.160828

7.156056

7.069575

hep-th/9411191

York Xylander

C. Wieczerkowski, Y. Xylander

Improved actions, the perfect action, and scaling by perturbation theory in Wilsons renormalization group: the two dimensional $O(N)$-invariant non linear $\sigma$-model in the hierarchical approximation

13 pages in LaTeX, 5 uuencoded PS figures included with epsfig.sty (including of ps-files fixed)

Nucl.Phys. B440 (1995) 393-404

10.1016/0550-3213(95)00066-2

MS-TPI-94-14,DESY-94-223

hep-th hep-lat

null

We propose a method using perturbation theory in the running coupling constant and the idea of scaling to determine improved actions for lattice field theories combining Wilson's renormalization group with Symanzik's improvement program . The method is based on the analysis of a single renormalization group transformation. We test it on the hierarchical $O(N)$ invariant $\sigma$ model in two dimensions.

[ { "created": "Fri, 25 Nov 1994 15:46:36 GMT", "version": "v1" }, { "created": "Mon, 28 Nov 1994 09:25:42 GMT", "version": "v2" } ]

2009-10-28

[ [ "Wieczerkowski", "C.", "" ], [ "Xylander", "Y.", "" ] ]

We propose a method using perturbation theory in the running coupling constant and the idea of scaling to determine improved actions for lattice field theories combining Wilson's renormalization group with Symanzik's improvement program . The method is based on the analysis of a single renormalization group transformation. We test it on the hierarchical $O(N)$ invariant $\sigma$ model in two dimensions.

12.76002

10.762501

14.608213

11.531857

11.656606

13.079125

12.148422

11.652412

11.925477

13.761628

12.606811

11.759051

12.808228

11.737419

11.669333

11.631637

11.705585

11.388829

11.901445

12.864554

11.928384

2008.00179

Takahisa Igata

Takahisa Igata, Shinya Tomizawa

Stable circular orbits in higher-dimensional multi-black hole spacetimes

22 pages, 4 figures; v2: minor revisions, add references; v3: published version

Phys. Rev. D 102, 084003 (2020)

10.1103/PhysRevD.102.084003

KEK-TH-2248, KEK-Cosmo-262, TTI-MATHPHYS-1

hep-th gr-qc

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

We consider the dynamics of particles, particularly focusing on circular orbits in the higher-dimensional Majumdar-Papapetrou (MP) spacetimes with two equal mass black holes. It is widely known that in the 5D Schwarzschild-Tangherlini and Myers-Perry backgrounds, there are no stable circular orbits. In contrast, we show that in the 5D MP background, stable circular orbits can always exist when the separation of two black holes is large enough. More precisely, for a large separation, stable circular orbits exist from the vicinity of horizons to infinity; for a medium one, they appear only in a certain finite region bounded by the innermost stable circular orbit and the outermost stable circular orbit outside the horizons; for a small one, they do not appear at all. Moreover, we show that in MP spacetimes in more than 5D, they do not exist for any separations.

[ { "created": "Sat, 1 Aug 2020 05:55:16 GMT", "version": "v1" }, { "created": "Wed, 2 Sep 2020 07:48:26 GMT", "version": "v2" }, { "created": "Thu, 1 Oct 2020 15:27:13 GMT", "version": "v3" } ]

2020-10-07

[ [ "Igata", "Takahisa", "" ], [ "Tomizawa", "Shinya", "" ] ]

We consider the dynamics of particles, particularly focusing on circular orbits in the higher-dimensional Majumdar-Papapetrou (MP) spacetimes with two equal mass black holes. It is widely known that in the 5D Schwarzschild-Tangherlini and Myers-Perry backgrounds, there are no stable circular orbits. In contrast, we show that in the 5D MP background, stable circular orbits can always exist when the separation of two black holes is large enough. More precisely, for a large separation, stable circular orbits exist from the vicinity of horizons to infinity; for a medium one, they appear only in a certain finite region bounded by the innermost stable circular orbit and the outermost stable circular orbit outside the horizons; for a small one, they do not appear at all. Moreover, we show that in MP spacetimes in more than 5D, they do not exist for any separations.

5.081931

5.388922

4.751173

4.687815

5.207994

4.814131

5.416501

4.618797

5.104594

4.879835

4.988303

4.935288

4.845065

4.845163

4.917055

4.830049

5.03894

4.826079

5.072521

4.912132

4.881036

1401.0740

Anton Kapustin

Anton Kapustin, Nathan Seiberg

Coupling a QFT to a TQFT and Duality

53 pages, harvmac. v2: references added

null

10.1007/JHEP04(2014)001

null

hep-th hep-lat

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

We consider coupling an ordinary quantum field theory with an infinite number of degrees of freedom to a topological field theory. On R^d the new theory differs from the original one by the spectrum of operators. Sometimes the local operators are the same but there are different line operators, surface operators, etc. The effects of the added topological degrees of freedom are more dramatic when we compactify R^d, and they are crucial in the context of electric-magnetic duality. We explore several examples including Dijkgraaf-Witten theories and their generalizations both in the continuum and on the lattice. When we couple them to ordinary quantum field theories the topological degrees of freedom allow us to express certain characteristic classes of gauge fields as integrals of local densities, thus simplifying the analysis of their physical consequences.

[ { "created": "Fri, 3 Jan 2014 22:05:38 GMT", "version": "v1" }, { "created": "Thu, 16 Jan 2014 02:43:06 GMT", "version": "v2" } ]

2015-06-18

[ [ "Kapustin", "Anton", "" ], [ "Seiberg", "Nathan", "" ] ]

We consider coupling an ordinary quantum field theory with an infinite number of degrees of freedom to a topological field theory. On R^d the new theory differs from the original one by the spectrum of operators. Sometimes the local operators are the same but there are different line operators, surface operators, etc. The effects of the added topological degrees of freedom are more dramatic when we compactify R^d, and they are crucial in the context of electric-magnetic duality. We explore several examples including Dijkgraaf-Witten theories and their generalizations both in the continuum and on the lattice. When we couple them to ordinary quantum field theories the topological degrees of freedom allow us to express certain characteristic classes of gauge fields as integrals of local densities, thus simplifying the analysis of their physical consequences.

8.71226

8.643312

9.650695

9.053671

8.713326

8.484703

9.33413

8.43808

8.554445

10.865843

8.633707

8.356016

8.733459

8.306214

8.501333

8.663627

8.506366

8.509508

8.371165

8.71797

7.92132

hep-th/0408105

Friedel Epple

Induced Gravity on Intersecting Branes

references added, minor changes to discussion of path integral normalization on page 5

JHEP0409:021,2004

10.1088/1126-6708/2004/09/021

DAMTP-2004-82

hep-th

null

We establish Einstein-Hilbert gravity couplings in the effective action for Intersecting Brane Worlds. The four-dimensional induced Planck mass is determined by calculating graviton scattering amplitudes at one-loop in the string perturbation expansion. We derive a general formula linking the induced Planck mass for N=1 supersymmetric backgrounds directly to the string partition function. We carry out the computation explicitly for simple examples, obtaining analytic expressions.

[ { "created": "Thu, 12 Aug 2004 19:09:21 GMT", "version": "v1" }, { "created": "Fri, 13 Aug 2004 15:52:19 GMT", "version": "v2" }, { "created": "Sat, 16 Oct 2004 20:02:46 GMT", "version": "v3" } ]

2008-11-26

[ [ "Epple", "Friedel", "" ] ]

We establish Einstein-Hilbert gravity couplings in the effective action for Intersecting Brane Worlds. The four-dimensional induced Planck mass is determined by calculating graviton scattering amplitudes at one-loop in the string perturbation expansion. We derive a general formula linking the induced Planck mass for N=1 supersymmetric backgrounds directly to the string partition function. We carry out the computation explicitly for simple examples, obtaining analytic expressions.

12.221332

11.256252

13.282511

11.495261

11.059062

10.769015

10.593751

11.445909

11.641816

14.633663

11.244335

10.898841

12.665651

11.173745

11.749702

11.425787

11.798922

11.781394

11.316344

12.799149

11.106937

2102.04480

Yixuan Li

Black Holes and the Swampland: the Deep Throat revelations

29 pages, 2 figures. V2: reference added. V3: revised version accepted for publication in JHEP. V4: Added funding information

null

10.1007/JHEP06(2021)065

JHEP06(2021)065

hep-th

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

Multi-centered bubbling solutions are black hole microstate geometries that arise as smooth solutions of 5-dimensional $\mathcal{N}=2$ Supergravity. When these solutions reach the scaling limit, their resulting geometries develop an infinitely deep throat and look arbitrarily close to a black hole geometry. We depict a connection between the scaling limit in the moduli space of Microstate Geometries and the Swampland Distance Conjecture. The naive extension of the Distance Conjecture implies that the distance in moduli space between a reference point and a point approaching the scaling limit is set by the proper length of the throat as it approaches the scaling limit. Independently, we also compute a distance in the moduli space of 3-centre solutions, from the K\"ahler structure of its phase space using quiver quantum mechanics. We show that the two computations of the distance in moduli space do not agree and comment on the physical implications of this mismatch.

[ { "created": "Mon, 8 Feb 2021 19:00:07 GMT", "version": "v1" }, { "created": "Sat, 13 Mar 2021 15:42:51 GMT", "version": "v2" }, { "created": "Thu, 27 May 2021 08:59:30 GMT", "version": "v3" }, { "created": "Mon, 19 Jul 2021 16:27:28 GMT", "version": "v4" } ]

2021-07-20

[ [ "Li", "Yixuan", "" ] ]

Multi-centered bubbling solutions are black hole microstate geometries that arise as smooth solutions of 5-dimensional $\mathcal{N}=2$ Supergravity. When these solutions reach the scaling limit, their resulting geometries develop an infinitely deep throat and look arbitrarily close to a black hole geometry. We depict a connection between the scaling limit in the moduli space of Microstate Geometries and the Swampland Distance Conjecture. The naive extension of the Distance Conjecture implies that the distance in moduli space between a reference point and a point approaching the scaling limit is set by the proper length of the throat as it approaches the scaling limit. Independently, we also compute a distance in the moduli space of 3-centre solutions, from the K\"ahler structure of its phase space using quiver quantum mechanics. We show that the two computations of the distance in moduli space do not agree and comment on the physical implications of this mismatch.

9.048572

8.031116

10.11925

8.213635

8.530107

8.171461

8.591563

8.01862

8.084548

9.838772

8.308723

8.257094

8.583515

8.19063

8.28453

8.043254

7.974349

8.409867

8.039704

8.499339

8.384583

1906.02234

Marjorie Schillo

Adam Bzowski and Marjorie Schillo

Dimensional regularization for holographic RG flows

30 pages + references

null

10.1007/JHEP10(2019)025

null

hep-th

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

In this work, we present a holographic renormalization scheme for asymptotically anti-de Sitter spacetimes in which the dual renormalization scheme of the boundary field theory is dimensional regularization. This constitutes a new level of precision in the holographic dictionary and paves the way for the exact matching of scheme dependent quantities, such as holographic beta functions, with field theory computations. Furthermore, the renormalization procedure identifies a local source field which satisfies the equations of motion along renormalization group flows, resolving a long-standing puzzle regarding the Wilsonian coupling in holography. This identification of the source field also provides new insight into field theories deformed by marginal operators, which have been traditionally difficult to analyze due to altered bulk asymptotics. Finally, we demonstrate a new relation equating the analyticity of the holographic beta function to the absence of conformal anomalies, and conjecture that the conformal anomaly should vanish in the UV for all holographic constructions.

[ { "created": "Wed, 5 Jun 2019 18:18:31 GMT", "version": "v1" }, { "created": "Thu, 19 Sep 2019 14:23:57 GMT", "version": "v2" } ]

2019-10-23

[ [ "Bzowski", "Adam", "" ], [ "Schillo", "Marjorie", "" ] ]

In this work, we present a holographic renormalization scheme for asymptotically anti-de Sitter spacetimes in which the dual renormalization scheme of the boundary field theory is dimensional regularization. This constitutes a new level of precision in the holographic dictionary and paves the way for the exact matching of scheme dependent quantities, such as holographic beta functions, with field theory computations. Furthermore, the renormalization procedure identifies a local source field which satisfies the equations of motion along renormalization group flows, resolving a long-standing puzzle regarding the Wilsonian coupling in holography. This identification of the source field also provides new insight into field theories deformed by marginal operators, which have been traditionally difficult to analyze due to altered bulk asymptotics. Finally, we demonstrate a new relation equating the analyticity of the holographic beta function to the absence of conformal anomalies, and conjecture that the conformal anomaly should vanish in the UV for all holographic constructions.

9.320419

9.622009

9.563464

9.451967

10.037034

9.898554

9.821455

9.622303

9.386561

10.465433

9.305666

9.224238

9.122032

9.096106

9.144418

8.990896

9.344923

9.065395

9.110458

9.370173

8.836909

2305.00267

Ming Zhang

Ting-Feng Gong, Jie Jiang, Ming Zhang

Holographic thermodynamics of rotating black holes

21 pages, 5 captioned figures, published version

null

10.1007/JHEP06(2023)105

null

hep-th gr-qc

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

We provide mass/energy formulas for the extended thermodynamics, mixed thermodynamics, and holographic conformal field theory (CFT) thermodynamics for the charged and rotating Kerr-Newman Anti-de Sitter black holes. Then for the CFT thermal states dual to the black hole, we find the first-order phase transitions and criticality phenomena in the canonical ensemble with fixed angular momentum, volume, and central charge. We observe that the CFT states cannot be analogous to the Van der Waals fluids, despite the critical exponents falling into the universality class predicted by the mean field theory. Additionally, we examine the (de)confinement phase transitions within the grand canonical ensemble with fixed angular velocity, volume, and central charge of the CFT. Our findings suggest that the near zero temperature (de)confinement phase transitions can occur with the angular velocity of the CFT that solely depends on the CFT volume.

[ { "created": "Sat, 29 Apr 2023 14:34:37 GMT", "version": "v1" }, { "created": "Wed, 7 Jun 2023 07:34:44 GMT", "version": "v2" }, { "created": "Sat, 24 Jun 2023 09:04:39 GMT", "version": "v3" } ]

2023-06-27

[ [ "Gong", "Ting-Feng", "" ], [ "Jiang", "Jie", "" ], [ "Zhang", "Ming", "" ] ]

We provide mass/energy formulas for the extended thermodynamics, mixed thermodynamics, and holographic conformal field theory (CFT) thermodynamics for the charged and rotating Kerr-Newman Anti-de Sitter black holes. Then for the CFT thermal states dual to the black hole, we find the first-order phase transitions and criticality phenomena in the canonical ensemble with fixed angular momentum, volume, and central charge. We observe that the CFT states cannot be analogous to the Van der Waals fluids, despite the critical exponents falling into the universality class predicted by the mean field theory. Additionally, we examine the (de)confinement phase transitions within the grand canonical ensemble with fixed angular velocity, volume, and central charge of the CFT. Our findings suggest that the near zero temperature (de)confinement phase transitions can occur with the angular velocity of the CFT that solely depends on the CFT volume.

9.792817

8.00938

9.374537

8.091303

8.147122

8.728538

8.390771

8.010079

8.184665

9.759448

8.092462

8.51875

9.13236

8.70593

8.457244

8.908009

8.999148

8.619201

8.641646

9.210078

8.710229

2310.12042

Sebastian Grieninger

Sebastian Grieninger, Dmitri E. Kharzeev, Ismail Zahed

Entanglement entropy in a time-dependent holographic Schwinger pair creation

9 pages, 6 figures;

Phys. Rev. D 108, 126014 (2023)

10.1103/PhysRevD.108.126014

null

hep-th hep-ph nucl-th

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

We analyze the entanglement of a Schwinger pair created by a time-dependent pulse. In the semi-classical approximation, the pair creation by a pulse of external electric field is captured by a periodic worldline instanton. At strong gauge coupling, the gauge-gravity dual worldsheet instanton exhibits a falling wormhole in AdS. We identify the tunneling time at the boundary with the inverse Unruh temperature, and derive the pertinent entanglement entropy between the created pair using thermodynamics. The entanglement entropy is enhanced by the sub-barrier tunneling process, and partly depleted by the radiation in the post-barrier process.

[ { "created": "Wed, 18 Oct 2023 15:26:59 GMT", "version": "v1" }, { "created": "Sun, 17 Dec 2023 19:45:07 GMT", "version": "v2" } ]

2023-12-20

[ [ "Grieninger", "Sebastian", "" ], [ "Kharzeev", "Dmitri E.", "" ], [ "Zahed", "Ismail", "" ] ]

We analyze the entanglement of a Schwinger pair created by a time-dependent pulse. In the semi-classical approximation, the pair creation by a pulse of external electric field is captured by a periodic worldline instanton. At strong gauge coupling, the gauge-gravity dual worldsheet instanton exhibits a falling wormhole in AdS. We identify the tunneling time at the boundary with the inverse Unruh temperature, and derive the pertinent entanglement entropy between the created pair using thermodynamics. The entanglement entropy is enhanced by the sub-barrier tunneling process, and partly depleted by the radiation in the post-barrier process.

14.58086

15.016256

15.245897

14.202399

13.712559

14.858912

17.22839

14.388746

14.570024

15.596458

13.844925

14.245529

13.392685

14.228048

14.096291

14.017446

14.152251

14.260943

14.374072

13.160642

13.427516

1701.09035

Muge Boz

M. K. G\"um\"u\c{s} and M. Boz

Gauge fixing problem and the constrained quantization

15 pages. Two references are added and few typos are corrected in the second version

null

hep-th

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

In this work, the quantization of the Yang-Mills theory is worked out by means of Dirac's canonical quantization method, using the generalized Coulomb gauge fixing conditions. Following the construction of the matrix composed of all the second class constraints of the theory, its convenience within the framework of the canonical approach is discussed. Although this method can be used successfully in the quantization of the Abelian theories, it brings along difficulties for the non-Abelian case, which can not be handled easily even for the generalized Coulomb gauge of the Yang-Mills theory.

[ { "created": "Tue, 31 Jan 2017 13:47:01 GMT", "version": "v1" }, { "created": "Thu, 2 Feb 2017 11:36:56 GMT", "version": "v2" } ]

2017-02-03

[ [ "Gümüş", "M. K.", "" ], [ "Boz", "M.", "" ] ]

In this work, the quantization of the Yang-Mills theory is worked out by means of Dirac's canonical quantization method, using the generalized Coulomb gauge fixing conditions. Following the construction of the matrix composed of all the second class constraints of the theory, its convenience within the framework of the canonical approach is discussed. Although this method can be used successfully in the quantization of the Abelian theories, it brings along difficulties for the non-Abelian case, which can not be handled easily even for the generalized Coulomb gauge of the Yang-Mills theory.

9.701044

8.852594

8.722998

8.454016

9.253282

9.627283

9.234797

8.478117

8.875027

9.39336

8.583983

8.345846

8.491861

8.454082

8.761535

8.708395

8.556346

8.732128

8.617474

8.874534

8.727817

hep-th/0305148

Emil J. Martinec

The Annular Report on Non-Critical String Theory

29 pages (latex), 4 (.eps) figures. v2: minor changes, references added

null

EFI-03-22

hep-th gr-qc

null

Recent results on the annulus partition function in Liouville field theory are applied to non-critical string theory, both below and above the critical dimension. Liouville gravity coupled to $c\le 1$ matter has a dual formulation as a matrix model. Two well-known matrix model results are reproduced precisely using the worldsheet formulation: (1) the correlation function of two macroscopic loops, and (2) the leading non-perturbative effects. The latter identifies the eigenvalue instanton amplitudes of the matrix approach with disk instantons of the worldsheet approach, thus demonstrating that the matrix model is the effective dynamics of a D-brane realization of $d\le 1$ non-critical string theory. In the context of string theory above the critical dimension, i.e. $d\ge 25$, Liouville field theory realizes two-dimensional de Sitter gravity on the worldsheet. In this case, appropriate D-brane boundary conditions on the annulus realize the S-matrix for two-dimensional de Sitter gravity.

[ { "created": "Sun, 18 May 2003 14:51:33 GMT", "version": "v1" }, { "created": "Wed, 4 Jun 2003 17:13:08 GMT", "version": "v2" } ]

2007-05-23

[ [ "Martinec", "Emil J.", "" ] ]

Recent results on the annulus partition function in Liouville field theory are applied to non-critical string theory, both below and above the critical dimension. Liouville gravity coupled to $c\le 1$ matter has a dual formulation as a matrix model. Two well-known matrix model results are reproduced precisely using the worldsheet formulation: (1) the correlation function of two macroscopic loops, and (2) the leading non-perturbative effects. The latter identifies the eigenvalue instanton amplitudes of the matrix approach with disk instantons of the worldsheet approach, thus demonstrating that the matrix model is the effective dynamics of a D-brane realization of $d\le 1$ non-critical string theory. In the context of string theory above the critical dimension, i.e. $d\ge 25$, Liouville field theory realizes two-dimensional de Sitter gravity on the worldsheet. In this case, appropriate D-brane boundary conditions on the annulus realize the S-matrix for two-dimensional de Sitter gravity.

7.638923

7.254129

8.676271

7.146417

7.745383

7.288033

7.736154

7.374323

7.525347

9.675732

7.26749

7.338654

8.043257

7.738205

7.681055

7.535057

7.61965

7.331405

7.877964

8.16085

7.28987

hep-th/9304164

Carlo RovellI

Carlo Rovelli

The basis of the Ponzano-Regge-Turaev-Viro-Ooguri model is the loop representation basis

16 pages

Phys.Rev. D48 (1993) 2702-2707

10.1103/PhysRevD.48.2702

pitt-gr-4-93

hep-th math.QA

null

We show that the Hilbert space basis that defines the Ponzano-Regge- Turaev-Viro-Ooguri combinatorial definition of 3-d Quantum Gravity is the same as the one that defines the Loop Representation. We show how to compute lengths in Witten's 3-d gravity and how to reconstruct the 2-d geometry from a state of Witten's theory. We show that the non-degenerate geometries are contained in the Witten's Hilbert space. We sketch an extension of the combinatorial construction to the physical 4-d case, by defining a modification of Regge calculus in which areas, rather than lengths, are taken as independent variables. We provide an expression for the scalar product in the Loop representation in 4-d. We discuss the general form of a nonperturbative quantum theory of gravity, and argue that it should be given by a generalization of Atiyah's topological quantum field theories axioms.

[ { "created": "Sat, 1 May 1993 03:11:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Rovelli", "Carlo", "" ] ]

We show that the Hilbert space basis that defines the Ponzano-Regge- Turaev-Viro-Ooguri combinatorial definition of 3-d Quantum Gravity is the same as the one that defines the Loop Representation. We show how to compute lengths in Witten's 3-d gravity and how to reconstruct the 2-d geometry from a state of Witten's theory. We show that the non-degenerate geometries are contained in the Witten's Hilbert space. We sketch an extension of the combinatorial construction to the physical 4-d case, by defining a modification of Regge calculus in which areas, rather than lengths, are taken as independent variables. We provide an expression for the scalar product in the Loop representation in 4-d. We discuss the general form of a nonperturbative quantum theory of gravity, and argue that it should be given by a generalization of Atiyah's topological quantum field theories axioms.

8.607457

9.043855

8.350163

8.245957

8.632545

8.932644

9.211565

8.635153

8.471049

8.49966

8.185504

8.071033

8.286014

8.22115

8.120296

8.219677

8.141676

7.908811

8.457746

8.367434

7.910349

hep-th/0510260

Natalia Kiriushcheva

N. Kiriushcheva and S.V. Kuzmin

On Hamiltonian formulation of the Einstein-Hilbert action in two dimensions

9 pages

Mod.Phys.Lett.A21:899-906,2006

10.1142/S0217732306020202

null

hep-th

null

It is shown that the well-known triviality of the Einstein field equations in two dimensions is not a sufficient condition for the Einstein-Hilbert action to be a total divergence, if the general covariance is to be preserved, that is, a coordinate system is not fixed. Consequently, a Hamiltonian formulation is possible without any modification of the two dimensional Einstein-Hilbert action. We find the resulting constraints and the corresponding gauge transfromations of the metric tensor.

[ { "created": "Sun, 30 Oct 2005 18:54:25 GMT", "version": "v1" } ]

2009-11-11

[ [ "Kiriushcheva", "N.", "" ], [ "Kuzmin", "S. V.", "" ] ]

It is shown that the well-known triviality of the Einstein field equations in two dimensions is not a sufficient condition for the Einstein-Hilbert action to be a total divergence, if the general covariance is to be preserved, that is, a coordinate system is not fixed. Consequently, a Hamiltonian formulation is possible without any modification of the two dimensional Einstein-Hilbert action. We find the resulting constraints and the corresponding gauge transfromations of the metric tensor.

10.696703

10.071285

10.362146

9.122251

11.549982

10.482467

10.927347

9.670026

9.511059

10.784827

9.816941

9.531389

9.957027

9.763312

9.228115

9.473392

9.906995

9.197956

9.789775

10.093169

9.530978

hep-th/9901075

P. M. Sutcliffe

Michael Singer and Paul Sutcliffe

Symmetric Instantons and Skyrme Fields

22 pages plus 1 figure in GIF format

Nonlinearity 12 (1999) 987-1003

10.1088/0951-7715/12/4/315

null

hep-th

null

By explicit construction of the ADHM data, we prove the existence of a charge seven instanton with icosahedral symmetry. By computing the holonomy of this instanton we obtain a Skyrme field which approximates the minimal energy charge seven Skyrmion. We also present a one parameter family of tetrahedrally symmetric instantons whose holonomy gives a family of Skyrme fields which models a Skyrmion scattering process, where seven well-separated Skyrmions collide to form the icosahedrally symmetric Skyrmion.

[ { "created": "Mon, 18 Jan 1999 19:03:25 GMT", "version": "v1" } ]

2009-10-31

[ [ "Singer", "Michael", "" ], [ "Sutcliffe", "Paul", "" ] ]

By explicit construction of the ADHM data, we prove the existence of a charge seven instanton with icosahedral symmetry. By computing the holonomy of this instanton we obtain a Skyrme field which approximates the minimal energy charge seven Skyrmion. We also present a one parameter family of tetrahedrally symmetric instantons whose holonomy gives a family of Skyrme fields which models a Skyrmion scattering process, where seven well-separated Skyrmions collide to form the icosahedrally symmetric Skyrmion.

7.841739

6.581942

8.118694

7.233239

7.148803

6.879581

6.985015

6.367836

6.904699

8.41818

7.342456

7.146626

7.73682

7.048634

7.025285

7.056338

7.120129

7.014512

6.976111

7.624991

7.419268

2210.07025

Rijun Huang

Rijun Huang, Qingjun Jin, Yi Li

Wilson Lines and Boundary Operators of BCFW Shifts

28 pages, 5 figures, improve the writing and correct some typos

null

10.1007/JHEP12(2022)023

null

hep-th hep-ph

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

Boundary operators are gauge invariant operators whose form factors correspond to boundary contributions of BCFW shifts. In gauge theory, the boundary operators contain infinite series, which are constrained by gauge symmetry. We compute the boundary operators of all possible BCFW shifts in Yang-Mills theory and QCD, and show that the infinite series can be elegantly organized into Wilson lines, which are natural building blocks for non-local gauge invariant operators. We comment on their connection to jet functions and gauge invariant off-shell amplitudes. We also verify our results by studying various BCFW shifts of four and five-point amplitudes.

[ { "created": "Thu, 13 Oct 2022 13:36:25 GMT", "version": "v1" }, { "created": "Sun, 6 Nov 2022 13:58:57 GMT", "version": "v2" } ]

2022-12-12

[ [ "Huang", "Rijun", "" ], [ "Jin", "Qingjun", "" ], [ "Li", "Yi", "" ] ]

Boundary operators are gauge invariant operators whose form factors correspond to boundary contributions of BCFW shifts. In gauge theory, the boundary operators contain infinite series, which are constrained by gauge symmetry. We compute the boundary operators of all possible BCFW shifts in Yang-Mills theory and QCD, and show that the infinite series can be elegantly organized into Wilson lines, which are natural building blocks for non-local gauge invariant operators. We comment on their connection to jet functions and gauge invariant off-shell amplitudes. We also verify our results by studying various BCFW shifts of four and five-point amplitudes.

10.443479

8.990826

10.381917

9.323915

9.046132

9.178265

9.910109

9.178611

8.634462

9.724733

9.354975

9.664769

8.987489

9.30181

9.636497

9.289149

9.493911

9.561723

9.268441

9.674094

9.166985

2303.16305

Gregory Korchemsky

M. Beccaria, G.P. Korchemsky, A.A. Tseytlin

Non-planar corrections in orbifold/orientifold $\mathcal N=2$ superconformal theories from localization

54 pages. v2: minor clarifications

null

10.1007/JHEP05(2023)165

IPhT-T23/015, Imperial-TP-AT-2023-01

hep-th

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

We study non-planar corrections in two special $\mathcal N=2$ superconformal $SU(N)$ gauge theories that are planar-equivalent to $\mathcal N=4$ SYM theory: two-nodes quiver model with equal couplings and $\mathcal N=2$ vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. We focus on two observables in these theories that admit representation in terms of localization matrix model: free energy on 4-sphere and the expectation value of half-BPS circular Wilson loop. We extend the methods developed in arXiv:2207.11475 to derive a systematical expansion of non-planar corrections to these observables at strong 't Hooft coupling constant $\lambda$. We show that the leading non planar corrections are given by a power series in $\lambda^{3/2}/N^2$ with rational coefficients. Sending $N$ and the coupling constant $\lambda$ to infinity with $\lambda^{3/2}/N^2$ kept fixed corresponds to the familiar double scaling limit in matrix models. We find that in this limit the observables in the two models are related in a remarkably simple way: the free energies differ by the factor of $2$, whereas the Wilson loop expectation values coincide. Surprisingly, these relations hold only at strong coupling, they are not valid in the weak coupling regime. We also discuss a dual string theory interpretation of the leading corrections to the free energy in the double scaling limit suggesting their relation to curvature corrections in type IIB string effective action.

[ { "created": "Tue, 28 Mar 2023 20:57:06 GMT", "version": "v1" }, { "created": "Mon, 24 Apr 2023 08:06:23 GMT", "version": "v2" } ]

2023-06-07

[ [ "Beccaria", "M.", "" ], [ "Korchemsky", "G. P.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We study non-planar corrections in two special $\mathcal N=2$ superconformal $SU(N)$ gauge theories that are planar-equivalent to $\mathcal N=4$ SYM theory: two-nodes quiver model with equal couplings and $\mathcal N=2$ vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. We focus on two observables in these theories that admit representation in terms of localization matrix model: free energy on 4-sphere and the expectation value of half-BPS circular Wilson loop. We extend the methods developed in arXiv:2207.11475 to derive a systematical expansion of non-planar corrections to these observables at strong 't Hooft coupling constant $\lambda$. We show that the leading non planar corrections are given by a power series in $\lambda^{3/2}/N^2$ with rational coefficients. Sending $N$ and the coupling constant $\lambda$ to infinity with $\lambda^{3/2}/N^2$ kept fixed corresponds to the familiar double scaling limit in matrix models. We find that in this limit the observables in the two models are related in a remarkably simple way: the free energies differ by the factor of $2$, whereas the Wilson loop expectation values coincide. Surprisingly, these relations hold only at strong coupling, they are not valid in the weak coupling regime. We also discuss a dual string theory interpretation of the leading corrections to the free energy in the double scaling limit suggesting their relation to curvature corrections in type IIB string effective action.

5.671881

5.232849

6.374467

5.536543

5.747279

5.546353

5.531703

5.13345

5.381497

7.07302

5.475605

5.579289

5.837957

5.520988

5.678431

5.680972

5.585683

5.625599

5.598144

5.795089

5.524535

hep-th/9908141

Hajime Aoki

H. Aoki, N. Ishibashi, S. Iso, H. Kawai, Y. Kitazawa and T. Tada

Noncommutative Yang-Mills in IIB Matrix Model

21pages, LaTeX, no figures, typos corrected

Nucl.Phys. B565 (2000) 176-192

10.1016/S0550-3213(99)00633-1

KEK-TH-637, KUNS-1595

hep-th

null

We show that twisted reduced models can be interpreted as noncommutative Yang-Mills theory. Based upon this correspondence, we obtain noncommutative Yang-Mills theory with D-brane backgrounds in IIB matrix model. We propose that IIB matrix model with D-brane backgrounds serve as a concrete definition of noncommutative Yang-Mills. We investigate D-instanton solutions as local excitations on D3-branes. When instantons overlap, their interaction can be well described in gauge theory and AdS/CFT correspondence. We show that IIB matrix model gives us the consistent potential with IIB supergravity when they are well separated.

[ { "created": "Fri, 20 Aug 1999 17:21:27 GMT", "version": "v1" }, { "created": "Tue, 31 Aug 1999 09:17:27 GMT", "version": "v2" } ]

2009-10-31

[ [ "Aoki", "H.", "" ], [ "Ishibashi", "N.", "" ], [ "Iso", "S.", "" ], [ "Kawai", "H.", "" ], [ "Kitazawa", "Y.", "" ], [ "Tada", "T.", "" ] ]

We show that twisted reduced models can be interpreted as noncommutative Yang-Mills theory. Based upon this correspondence, we obtain noncommutative Yang-Mills theory with D-brane backgrounds in IIB matrix model. We propose that IIB matrix model with D-brane backgrounds serve as a concrete definition of noncommutative Yang-Mills. We investigate D-instanton solutions as local excitations on D3-branes. When instantons overlap, their interaction can be well described in gauge theory and AdS/CFT correspondence. We show that IIB matrix model gives us the consistent potential with IIB supergravity when they are well separated.

10.013399

8.287978

9.782494

8.490116

9.059711

7.747786

8.087862

8.318343

8.52522

10.358028

8.509107

8.883978

9.617105

9.177484

9.319275

9.080816

8.777196

9.025115

9.087213

9.543839

9.062839

2105.02129

Herman Verlinde

Wormholes in Quantum Mechanics

15 pages plus Appendix, 10 figures

null

hep-th

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

We introduce a geometric path integral definition of wormhole partition functions in a general class of 1D quantum systems obtained by quantizing a phase space. We compute the wormhole partition function in a semi-classical limit and in some simple examples. The partition function of the n-fold wormhole is found to be identical to the n-th Renyi entropy of a thermal mixed state of the doubled system. This mixed state incorporates three types of quantum statistical behavior: classically correlated, quantum entangled, and classically uncorrelated. We apply our prescription to 2D CFTs with Virasoro symmetry and recover the holographic dual formulation in terms of AdS3 gravity.

[ { "created": "Wed, 5 May 2021 15:35:12 GMT", "version": "v1" } ]

2021-05-06

[ [ "Verlinde", "Herman", "" ] ]

We introduce a geometric path integral definition of wormhole partition functions in a general class of 1D quantum systems obtained by quantizing a phase space. We compute the wormhole partition function in a semi-classical limit and in some simple examples. The partition function of the n-fold wormhole is found to be identical to the n-th Renyi entropy of a thermal mixed state of the doubled system. This mixed state incorporates three types of quantum statistical behavior: classically correlated, quantum entangled, and classically uncorrelated. We apply our prescription to 2D CFTs with Virasoro symmetry and recover the holographic dual formulation in terms of AdS3 gravity.

9.90421

10.562398

11.708873

9.666227

10.01577

10.560622

9.975851

9.489003

9.553535

11.394593

9.585749

10.01399

10.38765

9.934216

9.973083

9.92663

9.417278

9.960463

9.808254

10.333591

9.823876

hep-th/0404059

Yuichi Hoshino

Mass singularity and confining property in $QED_3$

22pages,4figures,revtex4,Notational sloppiness are crrected.Submitted to JHEP

JHEP0409:048,2004

10.1088/1126-6708/2004/09/048

null

hep-th

null

We discuss the properties of the position space fermion propagator in three dimensional QED which has been found previouly based on Ward-Takahashi-identity for soft-photon emission vertex and spectral representation.There is a new type of mass singularity which governs the long distance behaviour.It leads the propagator vanish at large distance.This term corresponds to dynamical mass in position space.Our model shows confining property and dynamical mass generation for arbitrary coupling constant.Since we used dispersion retation in deriving spectral function there is a physical mass which sets a mass scale.For finite cut off we obtain the full propagator in the dispersion integral as a superposition of different massses.Low energy behaviour of the proagator is modified to decrease by position dependent mass.In the limit of zero infrared cut-off the propagator vanishes with a new kind of infrared behaviour.

[ { "created": "Wed, 7 Apr 2004 07:51:56 GMT", "version": "v1" }, { "created": "Wed, 14 Jul 2004 01:07:15 GMT", "version": "v10" }, { "created": "Mon, 20 Sep 2004 11:32:38 GMT", "version": "v11" }, { "created": "Thu, 8 Apr 2004 01:26:09 GMT", "version": "v2" }, { "created": "Sun, 11 Apr 2004 01:15:58 GMT", "version": "v3" }, { "created": "Thu, 22 Apr 2004 07:59:04 GMT", "version": "v4" }, { "created": "Mon, 26 Apr 2004 10:14:38 GMT", "version": "v5" }, { "created": "Tue, 27 Apr 2004 00:42:41 GMT", "version": "v6" }, { "created": "Wed, 28 Apr 2004 12:44:53 GMT", "version": "v7" }, { "created": "Sat, 1 May 2004 02:41:26 GMT", "version": "v8" }, { "created": "Mon, 5 Jul 2004 10:32:17 GMT", "version": "v9" } ]

2008-11-26

[ [ "Hoshino", "Yuichi", "" ] ]

We discuss the properties of the position space fermion propagator in three dimensional QED which has been found previouly based on Ward-Takahashi-identity for soft-photon emission vertex and spectral representation.There is a new type of mass singularity which governs the long distance behaviour.It leads the propagator vanish at large distance.This term corresponds to dynamical mass in position space.Our model shows confining property and dynamical mass generation for arbitrary coupling constant.Since we used dispersion retation in deriving spectral function there is a physical mass which sets a mass scale.For finite cut off we obtain the full propagator in the dispersion integral as a superposition of different massses.Low energy behaviour of the proagator is modified to decrease by position dependent mass.In the limit of zero infrared cut-off the propagator vanishes with a new kind of infrared behaviour.

23.083244

20.029415

23.850864

20.456858

23.642921

20.706408

21.723164

21.532833

22.13109

26.890404

21.791861

22.283873

22.702221

22.125372

22.782492

22.872025

22.46179

23.164558

21.498163

22.647511

22.719965

1707.07390

Gabriele Tartaglino-Mazzucchelli

Sergei M. Kuzenko and Gabriele Tartaglino-Mazzucchelli

New nilpotent ${\cal N}= 2$ superfields

20 pages; V3: typos corrected

Phys. Rev. D 97, 026003 (2018)

10.1103/PhysRevD.97.026003

null

hep-th

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

We propose new off-shell models for spontaneously broken local ${\cal N}=2$ supersymmetry, in which the supergravity multiplet couples to nilpotent Goldstino superfields that contain either a gauge one-form or a gauge two-form in addition to spin-1/2 Goldstone fermions and auxiliary fields. In the case of ${\cal N}=2$ Poincar\'e supersymmetry, we elaborate on the concept of twisted chiral superfields and present a nilpotent ${\cal N}=2$ superfield that underlies the cubic nilpotency conditions given in arXiv:1707.03414 in terms of constrained ${\cal N}=1$ superfields.

[ { "created": "Mon, 24 Jul 2017 03:37:58 GMT", "version": "v1" }, { "created": "Thu, 17 Aug 2017 10:20:52 GMT", "version": "v2" }, { "created": "Tue, 9 Jan 2018 10:49:34 GMT", "version": "v3" } ]

2018-01-17

[ [ "Kuzenko", "Sergei M.", "" ], [ "Tartaglino-Mazzucchelli", "Gabriele", "" ] ]

We propose new off-shell models for spontaneously broken local ${\cal N}=2$ supersymmetry, in which the supergravity multiplet couples to nilpotent Goldstino superfields that contain either a gauge one-form or a gauge two-form in addition to spin-1/2 Goldstone fermions and auxiliary fields. In the case of ${\cal N}=2$ Poincar\'e supersymmetry, we elaborate on the concept of twisted chiral superfields and present a nilpotent ${\cal N}=2$ superfield that underlies the cubic nilpotency conditions given in arXiv:1707.03414 in terms of constrained ${\cal N}=1$ superfields.

5.932461

5.741444

6.805595

5.610254

5.628197

5.217035

5.935657

5.493486

5.453454

7.651518

5.695651

5.211409

5.888909

5.379564

5.570176

5.57325

5.43943

5.57615

5.393656

6.266828

5.340901

0911.0364

Brandon Carter

Fields In Nonaffine Bundles II. Gauge coupled generalization of harmonic mappings and their Bunting identities

12 page Latex file with some minor misprint corrections and added color for article originally published in black and white

Phys.Rev.D33:991-996,1986

10.1103/PhysRevD.33.991

null

hep-th

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

The general purpose bitensorially gauge-covariant differentiation procedure set up in the preceding article is specialised to the particular case of bundles with nonlinear fibres that are endowed with a torsion free Riemannian or pseudo-Riemannian structure. This formalism is used to generalize the class of harmonic mappings between Riemannian or pseudo-Riemannian spaces to a natural gauge coupled extension in the form of a class of field sections of a bundle having the original image space as fibre, with a nonintegrable gauge connection $\Amr$ belonging to the algebra of the isometry group of the fibre space. The Bunting identity that can be used for establishing uniqueness in the strictly positive Riemannian case with negative image space curvature is shown to be generalizable to this gauge coupled extension.

[ { "created": "Mon, 2 Nov 2009 17:55:10 GMT", "version": "v1" } ]

2009-11-05

[ [ "Carter", "Brandon", "" ] ]

The general purpose bitensorially gauge-covariant differentiation procedure set up in the preceding article is specialised to the particular case of bundles with nonlinear fibres that are endowed with a torsion free Riemannian or pseudo-Riemannian structure. This formalism is used to generalize the class of harmonic mappings between Riemannian or pseudo-Riemannian spaces to a natural gauge coupled extension in the form of a class of field sections of a bundle having the original image space as fibre, with a nonintegrable gauge connection $\Amr$ belonging to the algebra of the isometry group of the fibre space. The Bunting identity that can be used for establishing uniqueness in the strictly positive Riemannian case with negative image space curvature is shown to be generalizable to this gauge coupled extension.

18.925613

21.517237

22.166243

17.56798

21.290422

22.289818

21.950666

19.68445

18.976055

24.928841

19.256691

19.515148

19.530605

18.44503

19.464302

19.813433

19.351616

19.160522

19.197853

19.57205

18.624334

0712.3699

Klaus Bering

Igor A. Batalin and Klaus Bering

Odd Scalar Curvature in Anti-Poisson Geometry

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

Phys.Lett.B663:132-135,2008

10.1016/j.physletb.2008.03.066

null

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

null

Recent works have revealed that the recipe for field-antifield quantization of Lagrangian gauge theories can be considerably relaxed when it comes to choosing a path integral measure \rho if a zero-order term \nu_{\rho} is added to the \Delta operator. The effects of this odd scalar term \nu_{\rho} become relevant at two-loop order. We prove that \nu_{\rho} is essentially the odd scalar curvature of an arbitrary torsion-free connection that is compatible with both the anti-Poisson structure E and the density \rho. This extends a previous result for non-degenerate antisymplectic manifolds to degenerate anti-Poisson manifolds that admit a compatible two-form.

[ { "created": "Fri, 21 Dec 2007 13:57:01 GMT", "version": "v1" }, { "created": "Wed, 2 Jan 2008 11:20:30 GMT", "version": "v2" }, { "created": "Fri, 11 Apr 2008 12:28:02 GMT", "version": "v3" } ]

2008-11-26

[ [ "Batalin", "Igor A.", "" ], [ "Bering", "Klaus", "" ] ]

Recent works have revealed that the recipe for field-antifield quantization of Lagrangian gauge theories can be considerably relaxed when it comes to choosing a path integral measure \rho if a zero-order term \nu_{\rho} is added to the \Delta operator. The effects of this odd scalar term \nu_{\rho} become relevant at two-loop order. We prove that \nu_{\rho} is essentially the odd scalar curvature of an arbitrary torsion-free connection that is compatible with both the anti-Poisson structure E and the density \rho. This extends a previous result for non-degenerate antisymplectic manifolds to degenerate anti-Poisson manifolds that admit a compatible two-form.

14.076593

12.588174

13.771577

12.350248

12.568144

12.065142

13.29564

12.014918

12.189097

15.644411

12.360065

11.605864

12.973817

11.636386

12.074698

11.678558

11.409778

11.959373

11.932809

13.159522

12.174936

2212.04783

Nathan Moynihan

Mariana Carrillo Gonz\'alez, William T. Emond, Nathan Moynihan, Justinas Rumbutis and Chris D. White

Mini-twistors and the Cotton Double Copy

null

hep-th

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

The double copy relates quantities in gauge, gravity and related theories. A well-known procedure for relating exact classical solutions is the Weyl double copy in four spacetime dimensions, and a three-dimensional analogue of this -- the Cotton double copy -- has recently been found for topologically massive gauge theory and gravity. In this paper, we use twistor methods to provide a derivation of the position-space Cotton double copy, where this is seen to arise from combining appropriate data in so-called minitwistor space. Our methods rely on a massive generalisation of the Penrose transform linking spacetime fields with cohomology classes in minitwistor space. We identify the relevant transform from the twistor literature, but also show that it naturally arises from considering scattering amplitudes in momentum space. We show that the Cotton double copy in position space is only valid for type N solutions, but that a simple twistor space double copy is possible for non-type N solutions, where we use anyons to illustrate our arguments.

[ { "created": "Fri, 9 Dec 2022 11:24:20 GMT", "version": "v1" } ]

2022-12-12

[ [ "González", "Mariana Carrillo", "" ], [ "Emond", "William T.", "" ], [ "Moynihan", "Nathan", "" ], [ "Rumbutis", "Justinas", "" ], [ "White", "Chris D.", "" ] ]

The double copy relates quantities in gauge, gravity and related theories. A well-known procedure for relating exact classical solutions is the Weyl double copy in four spacetime dimensions, and a three-dimensional analogue of this -- the Cotton double copy -- has recently been found for topologically massive gauge theory and gravity. In this paper, we use twistor methods to provide a derivation of the position-space Cotton double copy, where this is seen to arise from combining appropriate data in so-called minitwistor space. Our methods rely on a massive generalisation of the Penrose transform linking spacetime fields with cohomology classes in minitwistor space. We identify the relevant transform from the twistor literature, but also show that it naturally arises from considering scattering amplitudes in momentum space. We show that the Cotton double copy in position space is only valid for type N solutions, but that a simple twistor space double copy is possible for non-type N solutions, where we use anyons to illustrate our arguments.

11.362039

10.008864

11.493581

9.922121

10.270487

9.930121

9.962778

9.920063

9.248695

13.103394

9.628068

9.935997

10.732795

10.15247

9.924756

10.210964

10.199636

10.095951

10.297401

10.89214

10.064612

hep-th/9707042

Ashoke Sen

Dynamics of Multiple Kaluza-Klein Monopoles in M- and String Theory

LaTeX file, 12 pages

Adv.Theor.Math.Phys.1:115-126,1998

null

MRI-PHY/P970716

hep-th

null

We analyse the world-volume theory of multiple Kaluza-Klein monopoles in string and M-theory by identifying the appropriate zero modes of various fields. The results are consistent with supersymmetry, and all conjectured duality symmetries. In particular for M-theory and type IIA string theory, the low energy dynamics of N Kaluza-Klein monopoles is described by supersymmetric U(N) gauge theory, and for type IIB string theory, the low energy dynamics is described by a (2,0) supersymmetric field theory in (5+1) dimensions with N tensor multiplets and tensionless self-dual strings. It is also argued that for the Kaluza-Klein monopoles in heterotic string theory, the apparently flat moduli space gets converted to the moduli space of BPS monopoles in SU(2) gauge theory when higher derivative corrections to the supergravity equations of motion are taken into account.

[ { "created": "Thu, 3 Jul 1997 16:39:22 GMT", "version": "v1" } ]

2008-11-26

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

We analyse the world-volume theory of multiple Kaluza-Klein monopoles in string and M-theory by identifying the appropriate zero modes of various fields. The results are consistent with supersymmetry, and all conjectured duality symmetries. In particular for M-theory and type IIA string theory, the low energy dynamics of N Kaluza-Klein monopoles is described by supersymmetric U(N) gauge theory, and for type IIB string theory, the low energy dynamics is described by a (2,0) supersymmetric field theory in (5+1) dimensions with N tensor multiplets and tensionless self-dual strings. It is also argued that for the Kaluza-Klein monopoles in heterotic string theory, the apparently flat moduli space gets converted to the moduli space of BPS monopoles in SU(2) gauge theory when higher derivative corrections to the supergravity equations of motion are taken into account.

5.702866

5.113878

6.643868

5.319549

5.542844

5.399451

4.969908

5.333272

5.315794

6.786769

5.066057

5.079548

5.608331

5.085991

5.260302

5.07105

5.135619

5.125154

5.121872

5.498177

5.012053

0903.3365

In\^es Aniceto

Michael C. Abbott, In\^es Aniceto and Olof Ohlsson Sax

Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J

22 pages, 3 figures, 2 tables. v2 adds note on breather solution, and minor clarifications

Phys.Rev.D80:026005,2009

10.1103/PhysRevD.80.026005

BROWN-HET 1580, UUITP-11/09

hep-th

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

This paper studies giant magnons in AdS_4 x CP^3 using both the string sigma-model and the algebraic curve. We complete the dictionary of solutions by finding the dyonic generalisation of the CP^1 string solution, which matches the `small' giant magnon in the algebraic curve, and by pointing out that the solution recently constructed by the dressing method is the `big' giant magnon. We then use the curve to compute finite-J corrections to all cases, which for the non-dyonic cases always match the AFZ result. For the dyonic RP^3 magnon we recover the S^5 answer, but for the `small' and `big' giant magnons we obtain new corrections.

[ { "created": "Thu, 19 Mar 2009 16:50:02 GMT", "version": "v1" }, { "created": "Thu, 21 May 2009 01:10:59 GMT", "version": "v2" } ]

2010-12-16

[ [ "Abbott", "Michael C.", "" ], [ "Aniceto", "Inês", "" ], [ "Sax", "Olof Ohlsson", "" ] ]

This paper studies giant magnons in AdS_4 x CP^3 using both the string sigma-model and the algebraic curve. We complete the dictionary of solutions by finding the dyonic generalisation of the CP^1 string solution, which matches the `small' giant magnon in the algebraic curve, and by pointing out that the solution recently constructed by the dressing method is the `big' giant magnon. We then use the curve to compute finite-J corrections to all cases, which for the non-dyonic cases always match the AFZ result. For the dyonic RP^3 magnon we recover the S^5 answer, but for the `small' and `big' giant magnons we obtain new corrections.

11.074551

9.499223

13.155355

9.47874

9.639812

9.743625

9.543848

9.005858

9.198656

14.098972

9.324888

9.453145

11.192494

9.711358

9.522408

9.625717

9.575876

9.662306

9.397344

10.748271

9.6945

1203.0582

Julio Oliva

Alex Giacomini, Gaston Giribet, Mauricio Leston, Julio Oliva, Sourya Ray

Scalar field perturbations in asymptotically Lifshitz black holes

13 pages, no figures. v2: 14 pages, references added. To appear on PRD

Phys. Rev. D 85, 124001 (2012)

10.1103/PhysRevD.85.124001

null

hep-th gr-qc

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

We consider scalar field perturbations about asymptotically Lifshitz black holes with dynamical exponent z in D dimensions. We show that, for suitable boundary conditions, these Lifshitz black holes are stable under scalar field perturbations. For z=2, we explicitly compute the quasinormal mode frecuencies, which result to be purely imaginary, and then obtain the damping-off of the scalar field perturbation in these backgrounds. The general analysis includes, in particular, the z=3 black hole solution of three-dimensional massive gravity.

[ { "created": "Fri, 2 Mar 2012 22:34:09 GMT", "version": "v1" }, { "created": "Thu, 3 May 2012 20:24:31 GMT", "version": "v2" } ]

2012-06-05

[ [ "Giacomini", "Alex", "" ], [ "Giribet", "Gaston", "" ], [ "Leston", "Mauricio", "" ], [ "Oliva", "Julio", "" ], [ "Ray", "Sourya", "" ] ]

We consider scalar field perturbations about asymptotically Lifshitz black holes with dynamical exponent z in D dimensions. We show that, for suitable boundary conditions, these Lifshitz black holes are stable under scalar field perturbations. For z=2, we explicitly compute the quasinormal mode frecuencies, which result to be purely imaginary, and then obtain the damping-off of the scalar field perturbation in these backgrounds. The general analysis includes, in particular, the z=3 black hole solution of three-dimensional massive gravity.

7.727639

7.31349

6.895553

6.531088

6.553382

6.782338

7.096949

6.291907

6.814581

7.814498

6.443209

6.694325

7.511414

6.840518

6.949953

6.793022

6.968656

6.587015

6.851944

7.067123

6.838309

1012.3192

Jeff Greensite

R. Alkofer, D. Diakonov, J. Pawlowski, H. Reinhardt, V. Zakharov, D. Zwanziger, and J. Greensite

Panel discussion: What {\it don't} we know about confinement?

8 pages. Roundtable discussion at the Quark Confinement and Hadron Spectrum 9 conference (Madrid, Aug. 29 - Sep. 3, 2010). To appear in the conference proceedings, published by the AIP. v2: References added. v3: Reference corrected

null

10.1063/1.3574936

null

hep-th hep-lat hep-ph

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

The participants in this discussion session of the QCHS 9 meeting were each asked the following question: "What would be the most useful piece of information that you could obtain, by whatever means, that would advance your own program, and/or our general understanding of confinement?" This proceedings contains a brief summary of each panel member's contribution to the discussion, provided by the panel members themselves.

[ { "created": "Tue, 14 Dec 2010 22:52:08 GMT", "version": "v1" }, { "created": "Fri, 17 Dec 2010 22:51:38 GMT", "version": "v2" }, { "created": "Tue, 4 Jan 2011 19:29:21 GMT", "version": "v3" } ]

2016-02-18

[ [ "Alkofer", "R.", "" ], [ "Diakonov", "D.", "" ], [ "Pawlowski", "J.", "" ], [ "Reinhardt", "H.", "" ], [ "Zakharov", "V.", "" ], [ "Zwanziger", "D.", "" ], [ "Greensite", "J.", "" ] ]

The participants in this discussion session of the QCHS 9 meeting were each asked the following question: "What would be the most useful piece of information that you could obtain, by whatever means, that would advance your own program, and/or our general understanding of confinement?" This proceedings contains a brief summary of each panel member's contribution to the discussion, provided by the panel members themselves.

14.554665

15.561205

13.028123

10.670556

14.903222

12.363589

14.010941

14.978845

10.756834

11.938293

12.931734

13.276306

11.624618

11.557875

13.207027

12.143542

12.064245

12.478339

11.323709

11.068857

12.293032

1603.07691

M. Abdul Wasay

Muhammad Abdul Wasay

Supersymmetric quantum mechanics and topology

26 pages

Adv.High Energy Phys. 2016 (2016) 3906746

10.1155/2016/3906746

null

hep-th

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

Supersymmetric quantum mechanical models are computed by the Path integral approach. In the $\beta\rightarrow0$ limit, the integrals localize to the zero modes. This allows us to perform the index computations exactly because of supersymmetric localization, and we will show how the geometry of target space enters the physics of sigma models resulting in the relationship between the supersymmetric model and the geometry of the target space in the form of topological invariants. Explicit computation details are given for the Euler characteristics of the target manifold, and the index of Dirac operator for the model on a spin manifold.

[ { "created": "Sun, 13 Mar 2016 08:30:28 GMT", "version": "v1" } ]

2016-03-31

[ [ "Wasay", "Muhammad Abdul", "" ] ]

Supersymmetric quantum mechanical models are computed by the Path integral approach. In the $\beta\rightarrow0$ limit, the integrals localize to the zero modes. This allows us to perform the index computations exactly because of supersymmetric localization, and we will show how the geometry of target space enters the physics of sigma models resulting in the relationship between the supersymmetric model and the geometry of the target space in the form of topological invariants. Explicit computation details are given for the Euler characteristics of the target manifold, and the index of Dirac operator for the model on a spin manifold.

11.664231

12.592652

14.025723

11.680503

12.028742

11.521399

12.635364

12.065734

11.351467

15.548396

11.922482

11.288327

13.358384

11.94892

11.488962

11.606724

11.848252

11.287789

11.93854

13.439363

11.506725

hep-th/0606034

Eric R. Sharpe

S. Hellerman, A. Henriques, T. Pantev, E. Sharpe, M. Ando

Cluster decomposition, T-duality, and gerby CFT's

61 pages, LaTeX; v2,3: typos fixed; v4: writing improved in several sections; v5: typos fixed

Adv.Theor.Math.Phys.11:751-818,2007

10.4310/ATMP.2007.v11.n5.a2

null

hep-th

null

In this paper we study CFT's associated to gerbes. These theories suffer from a lack of cluster decomposition, but this problem can be resolved: the CFT's are the same as CFT's for disconnected targets. Such theories also lack cluster decomposition, but in that form, the lack is manifestly not very problematic. In particular, we shall see that this matching of CFT's, this duality between noneffective gaugings and sigma models on disconnected targets, is a worldsheet duality related to T-duality. We perform a wide variety of tests of this claim, ranging from checking partition functions at arbitrary genus to D-branes to mirror symmetry. We also discuss a number of applications of these results, including predictions for quantum cohomology and Gromov-Witten theory and additional physical understanding of the geometric Langlands program.

[ { "created": "Mon, 5 Jun 2006 15:16:18 GMT", "version": "v1" }, { "created": "Tue, 6 Jun 2006 12:02:52 GMT", "version": "v2" }, { "created": "Fri, 16 Jun 2006 18:24:46 GMT", "version": "v3" }, { "created": "Fri, 18 Aug 2006 13:04:01 GMT", "version": "v4" }, { "created": "Wed, 13 Sep 2006 06:13:11 GMT", "version": "v5" } ]

2016-10-04

[ [ "Hellerman", "S.", "" ], [ "Henriques", "A.", "" ], [ "Pantev", "T.", "" ], [ "Sharpe", "E.", "" ], [ "Ando", "M.", "" ] ]

In this paper we study CFT's associated to gerbes. These theories suffer from a lack of cluster decomposition, but this problem can be resolved: the CFT's are the same as CFT's for disconnected targets. Such theories also lack cluster decomposition, but in that form, the lack is manifestly not very problematic. In particular, we shall see that this matching of CFT's, this duality between noneffective gaugings and sigma models on disconnected targets, is a worldsheet duality related to T-duality. We perform a wide variety of tests of this claim, ranging from checking partition functions at arbitrary genus to D-branes to mirror symmetry. We also discuss a number of applications of these results, including predictions for quantum cohomology and Gromov-Witten theory and additional physical understanding of the geometric Langlands program.

13.685184

14.750575

16.88809

12.986208

14.319265

14.279007

12.74779

12.937205

12.426434

16.038767

13.32239

12.891878

14.473228

12.546866

13.140431

13.379274

13.379291

13.118185

13.057201

14.074963

12.782757

hep-th/0512114

Alessandra Agostini

kappa-Minkowski representations on Hilbert spaces

23 pag. Latex, correction of a couple of typos, reference added, title slightly changed

J.Math.Phys.48:052305,2007

10.1063/1.2738360

null

hep-th

null

The algebra of functions on kappa-Minkowski noncommutative spacetime is studied as algebra of operators on Hilbert spaces. The representations of this algebra are constructed and classified. This new approach leads to a natural construction of integration in kappa-Minkowski spacetime in terms of the usual trace of operators.

[ { "created": "Fri, 9 Dec 2005 21:29:56 GMT", "version": "v1" }, { "created": "Wed, 13 Jun 2007 20:35:01 GMT", "version": "v2" }, { "created": "Fri, 15 Jun 2007 10:08:12 GMT", "version": "v3" } ]

2008-11-26

[ [ "Agostini", "Alessandra", "" ] ]

The algebra of functions on kappa-Minkowski noncommutative spacetime is studied as algebra of operators on Hilbert spaces. The representations of this algebra are constructed and classified. This new approach leads to a natural construction of integration in kappa-Minkowski spacetime in terms of the usual trace of operators.

8.912827

6.744218

7.767936

6.693603

6.669958

7.127496

6.211232

6.763529

6.120096

9.529553

6.864504

6.941978

7.799843

6.936325

7.093175

7.027816

7.187483

7.013845

7.218294

7.785672

6.91288

hep-th/0110066

Rey Soojong

Y. Kiem, S.-S. Kim, S.-J. Rey, H.-T. Sato

Anatomy of Two-Loop Effective Action in Noncommutative Field Theories

27 pages, Latex, 6 figures using pictex, v2. typos corrected

Nucl.Phys. B641 (2002) 256-284

10.1016/S0550-3213(02)00589-8

SNUST 01-0901, PUPT 2009

hep-th

null

We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation of the Feynman diagrammatics so that relation to string theory diagrammatics is made transparent in the Seiberg-Witten limit. We argue that the resulting two-loop effective action is expressible via open Wilson lines: one-particle-irreducible effective action is generating functional of connected diagrams for interacting open Wilson lines.

[ { "created": "Mon, 8 Oct 2001 10:44:54 GMT", "version": "v1" }, { "created": "Wed, 24 Oct 2001 06:54:57 GMT", "version": "v2" } ]

2010-04-05

[ [ "Kiem", "Y.", "" ], [ "Kim", "S. -S.", "" ], [ "Rey", "S. -J.", "" ], [ "Sato", "H. -T.", "" ] ]

We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation of the Feynman diagrammatics so that relation to string theory diagrammatics is made transparent in the Seiberg-Witten limit. We argue that the resulting two-loop effective action is expressible via open Wilson lines: one-particle-irreducible effective action is generating functional of connected diagrams for interacting open Wilson lines.

9.249572

9.173096

9.756915

8.462646

8.956961

9.152571

9.498254

8.533683

8.31004

9.666769

8.360981

9.114813

9.09325

8.348326

8.578628

8.870953

8.415903

8.702408

8.760117

8.885955

8.594784

1302.2050

Fabio Zwirner

Quantum corrections to broken N=8 supergravity

6 pages: contribution to the proceedings of ICHEP2012, The 36th International Conference on High Energy Physics, 4-11 July 2012, Melbourne, Australia

null

DFPD-2013-TH-02

hep-th hep-ph

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

The discovery of the Higgs boson and the non-discovery (so far) of additional particles at the TeV scale underline our poor understanding of the hierarchy problems in the physics of the fundamental interactions. Loosely motivated by this consideration, I review some recent results on the classical and quantum stability of Minkowski vacua in spontaneously broken N=8 supergravity.

[ { "created": "Fri, 8 Feb 2013 14:39:31 GMT", "version": "v1" } ]

2013-02-11

[ [ "Zwirner", "Fabio", "" ] ]

The discovery of the Higgs boson and the non-discovery (so far) of additional particles at the TeV scale underline our poor understanding of the hierarchy problems in the physics of the fundamental interactions. Loosely motivated by this consideration, I review some recent results on the classical and quantum stability of Minkowski vacua in spontaneously broken N=8 supergravity.

9.677359

8.641615

9.668797

8.047063

10.429791

10.110303

10.11266

9.191532

9.599211

9.58485

8.955242

9.058831

9.698116

9.122581

9.262223

9.30976

9.473042

9.264835

8.968349

9.699363

9.201766

1108.2909

Alexander Zhidenko

R. A. Konoplya and A. Zhidenko

Superradiance and instability of the charged Myers-Perry black holes in the G\"{o}del Universe

7 pages, 9 figures

Phys. Rev. D 84, 104022 (2011)

10.1103/PhysRevD.84.104022

null

hep-th gr-qc

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

We consider scalar field perturbations of the asymptotically G\"odel 5-dimensional charged rotating black holes with two equal angular momenta. It is shown that the spectrum of proper oscillations of the perturbation includes superradiant unstable modes. The reason for the instability is the confining Dirichlet boundary condition at the asymptotically far region of the G\"odel Universe. The confining box makes superradiant modes extract rotational energy from the black hole and, after repeated reflections from the black hole, grow unboundedly. A similar instability takes place for rotating black holes in the asymptotically anti-de Sitter (AdS) space-time.

[ { "created": "Sun, 14 Aug 2011 22:50:47 GMT", "version": "v1" }, { "created": "Mon, 5 Sep 2011 20:14:31 GMT", "version": "v2" } ]

2011-11-09

[ [ "Konoplya", "R. A.", "" ], [ "Zhidenko", "A.", "" ] ]

We consider scalar field perturbations of the asymptotically G\"odel 5-dimensional charged rotating black holes with two equal angular momenta. It is shown that the spectrum of proper oscillations of the perturbation includes superradiant unstable modes. The reason for the instability is the confining Dirichlet boundary condition at the asymptotically far region of the G\"odel Universe. The confining box makes superradiant modes extract rotational energy from the black hole and, after repeated reflections from the black hole, grow unboundedly. A similar instability takes place for rotating black holes in the asymptotically anti-de Sitter (AdS) space-time.

7.652417

7.27963

7.511446

7.20718

7.81195

7.099561

6.921204

6.794082

6.820596

7.64124

7.340233

7.112243

7.132989

6.923471

6.886251

7.101381

7.031468

7.26289

6.888611

7.317503

6.827573

1410.4815

Daniel Litim

Kevin Falls, Daniel F. Litim, Konstantinos Nikolakopoulos, Christoph Rahmede

Further evidence for asymptotic safety of quantum gravity

44 pages, 17 figures, explanations and Sec VII D added; to appear (PRD)

Phys. Rev. D 93, 104022 (2016)

10.1103/PhysRevD.93.104022

DO-TH 14/26, KA-TP-2014-30

hep-th gr-qc

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

The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using the renormalisation group, we find evidence for an interacting UV fixed point for polynomial actions up to the 34th power in the Ricci scalar. The extrapolation to infinite polynomial order is given, and the self-consistency of the fixed point is established using a bootstrap test. All details of our analysis are provided. We also clarify further aspects such as stability, convergence, the role of boundary conditions, and a partial degeneracy of eigenvalues. Within this setting we find strong support for the conjecture.

[ { "created": "Fri, 17 Oct 2014 18:23:56 GMT", "version": "v1" }, { "created": "Mon, 25 Apr 2016 17:36:28 GMT", "version": "v2" } ]

2016-05-18

[ [ "Falls", "Kevin", "" ], [ "Litim", "Daniel F.", "" ], [ "Nikolakopoulos", "Konstantinos", "" ], [ "Rahmede", "Christoph", "" ] ]

The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using the renormalisation group, we find evidence for an interacting UV fixed point for polynomial actions up to the 34th power in the Ricci scalar. The extrapolation to infinite polynomial order is given, and the self-consistency of the fixed point is established using a bootstrap test. All details of our analysis are provided. We also clarify further aspects such as stability, convergence, the role of boundary conditions, and a partial degeneracy of eigenvalues. Within this setting we find strong support for the conjecture.

10.812537

11.063385

10.462742

10.113252

10.708642

10.41592

10.395645

10.845603

10.134892

11.182851

10.564725

10.728345

11.054871

10.376699

10.652801

10.56204

10.805868

10.192966

10.918658

11.059667

10.562234

hep-th/9412161

null

D.V. Fursaev

Temperature and Entropy of a Quantum Black Hole and Conformal Anomaly

10 pages, Latex file

Phys.Rev.D51:5352-5355,1995

10.1103/PhysRevD.51.5352

JINR E2-94-484

hep-th

null

Attention is paid to the fact that temperature of a classical black hole can be derived from the extremality condition of its free energy with respect to variation of the mass of a hole. For a quantum Schwarzschild black hole evaporating massless particles the same condition is shown to result in the following one-loop temperature $T=(8\pi M)^{-1} (1+\sigma (8\pi M^2)^{-1})$ and entropy $S = 4\pi M^2 - \sigma\log M$ expressed in terms of the effective mass $M$ of a hole together with its radiation and the integral of the conformal anomaly $\sigma$ that depends on the field species. Thus, in the given case quantum corrections to $T$ and $S$ turn out to be completely provided by the anomaly. When it is absent ($\sigma=0$), which happens in a number of supersymmetric models, the one-loop expressions of $T$ and $S$ preserve the classical form. On the other hand, if the anomaly is negative ($\sigma<0$) an evaporating quantum hole seems to cease to heat up when its mass reaches the Planck scales.

[ { "created": "Mon, 19 Dec 1994 08:54:32 GMT", "version": "v1" } ]

2009-12-30

[ [ "Fursaev", "D. V.", "" ] ]

Attention is paid to the fact that temperature of a classical black hole can be derived from the extremality condition of its free energy with respect to variation of the mass of a hole. For a quantum Schwarzschild black hole evaporating massless particles the same condition is shown to result in the following one-loop temperature $T=(8\pi M)^{-1} (1+\sigma (8\pi M^2)^{-1})$ and entropy $S = 4\pi M^2 - \sigma\log M$ expressed in terms of the effective mass $M$ of a hole together with its radiation and the integral of the conformal anomaly $\sigma$ that depends on the field species. Thus, in the given case quantum corrections to $T$ and $S$ turn out to be completely provided by the anomaly. When it is absent ($\sigma=0$), which happens in a number of supersymmetric models, the one-loop expressions of $T$ and $S$ preserve the classical form. On the other hand, if the anomaly is negative ($\sigma<0$) an evaporating quantum hole seems to cease to heat up when its mass reaches the Planck scales.

7.70921

8.067708

7.526659

7.250923

8.560188

8.304216

8.595313

7.730475

7.456827

7.563361

7.895673

7.37385

7.40199

7.157447

7.664423

7.27954

7.456868

7.338532

7.379839

7.289039

7.380376

hep-th/0312035

Juan L. Manes

String Form Factors

18 pages, 3 figures. Typos corrected, 1 footnote (in Section 4) and 1 reference added

JHEP 0401 (2004) 033

10.1088/1126-6708/2004/01/033

EHU-FT/03-05

hep-th

null

We compute the cross section for scattering of light string probes by randomly excited closed strings. For high energy probes, the cross section factorizes and can be used to define effective form factors for the excited targets. These form factors are well defined without the need for infinite subtractions and contain information about the shape and size of typical strings. For highly excited strings the elastic form factor can be written in terms of the `plasma dispersion function', which describes charge screening in high temperature plasmas.

[ { "created": "Wed, 3 Dec 2003 14:20:11 GMT", "version": "v1" }, { "created": "Tue, 9 Dec 2003 15:15:44 GMT", "version": "v2" } ]

2009-11-10

[ [ "Manes", "Juan L.", "" ] ]

We compute the cross section for scattering of light string probes by randomly excited closed strings. For high energy probes, the cross section factorizes and can be used to define effective form factors for the excited targets. These form factors are well defined without the need for infinite subtractions and contain information about the shape and size of typical strings. For highly excited strings the elastic form factor can be written in terms of the `plasma dispersion function', which describes charge screening in high temperature plasmas.

13.796546

13.981495

13.474441

12.827477

14.279698

13.685447

14.116702

14.465621

13.691149

15.21089

13.065759

12.551276

12.893912

13.425518

13.115242

12.915995

13.111772

12.725535

13.161725

13.416709

12.903062

hep-th/0307212

Christian Brouder

Quantum field theory of degenerate systems

4 pages, no figure

null

hep-th

null

To set up a self-consistent quantum field theory of degenerate systems, the unperturbed state should be described by a density matrix instead of a pure state. This increases the combinatorial complexity of the many-body equations. Hopf algebraic techniques are used to deal with this complexity and show that the Schwinger-Dyson equations are modified in a non-trivial way. The hierarchy of Green functions is derived for degenerate systems, and the case of a single electron in a two-fold degenerate orbital is calculated in detail.

[ { "created": "Tue, 22 Jul 2003 12:49:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Brouder", "Christian", "" ] ]

To set up a self-consistent quantum field theory of degenerate systems, the unperturbed state should be described by a density matrix instead of a pure state. This increases the combinatorial complexity of the many-body equations. Hopf algebraic techniques are used to deal with this complexity and show that the Schwinger-Dyson equations are modified in a non-trivial way. The hierarchy of Green functions is derived for degenerate systems, and the case of a single electron in a two-fold degenerate orbital is calculated in detail.

9.54059

8.827558

8.902017

8.462868

8.755339

9.327425

8.949179

8.698323

8.469123

10.518602

8.46988

8.346707

8.365086

8.272286

8.160708

8.25675

8.50395

8.254213

8.190502

8.486411

8.597356

hep-th/0306250

de Mello Koch

Paul L. H. Cook, Robert de Mello Koch and Jeff Murugan

Non-Abelian BIonic Brane Intersections

17 pages uses harvmac; v2: small typos corrected, refs added

Phys.Rev.D68:126007,2003

10.1103/PhysRevD.68.126007

null

hep-th

null

We study "fuzzy funnel" solutions to the non-Abelian equations of motion of the D-string. Our funnel describes n^6/360 coincident D-strings ending on n^3/6 D7-branes, in terms of a fuzzy six-sphere which expands along the string. We also provide a dual description of this configuration in terms of the world volume theory of the D7-branes. Our work makes use of an interesting non-linear higher dimensional generalization of the instanton equations.

[ { "created": "Wed, 25 Jun 2003 16:42:45 GMT", "version": "v1" }, { "created": "Tue, 22 Jul 2003 13:01:12 GMT", "version": "v2" } ]

2008-11-26

[ [ "Cook", "Paul L. H.", "" ], [ "Koch", "Robert de Mello", "" ], [ "Murugan", "Jeff", "" ] ]

We study "fuzzy funnel" solutions to the non-Abelian equations of motion of the D-string. Our funnel describes n^6/360 coincident D-strings ending on n^3/6 D7-branes, in terms of a fuzzy six-sphere which expands along the string. We also provide a dual description of this configuration in terms of the world volume theory of the D7-branes. Our work makes use of an interesting non-linear higher dimensional generalization of the instanton equations.

12.660679

12.00069

15.232246

10.839685

10.411493

9.807702

10.301922

11.448744

9.824616

14.71953

10.935499

10.554364

11.719604

10.873119

10.593991

10.739378

10.082699

10.497898

10.380053

12.472723

10.92344

hep-th/0309238

Lubos Motl

Robbert Dijkgraaf, Lubos Motl

Matrix string theory, contact terms, and superstring field theory

26 pages, 3 EPS figures, JHEP3 LaTeX; references added

null

HUTP-03/A063, ITFA-2003-45, HEP-UK-0019

hep-th

null

In this note, we first explain the equivalence between the interaction Hamiltonian of Green-Schwarz light-cone gauge superstring field theory and the twist field formalism known from matrix string theory. We analyze the role of the large N limit in matrix string theory, in particular in relation with conformal perturbation theory around the orbifold SCFT that reproduces light-cone string perturbation theory. We show how the scaling with N is directly related to measures on the moduli space of Riemann surfaces. The scaling dimension 3 of the Mandelstam vertex as reproduced by the twist field interaction is in this way related to the dimension 3(h-1) of the moduli space. We analyze the structure and scaling of the higher order twist fields that represent the contact terms. We find one relevant twist field at each order. More generally, the structure of string field theory seems more transparent in the twist field formalism. Finally we also investigate the modifications necessary to describe the pp-wave backgrounds in the light-cone gauge and we interpret a diagram from the BMN limit as a stringy diagram involving the contact term.

[ { "created": "Thu, 25 Sep 2003 20:06:12 GMT", "version": "v1" }, { "created": "Thu, 16 Oct 2003 20:05:21 GMT", "version": "v2" } ]

2007-05-23

[ [ "Dijkgraaf", "Robbert", "" ], [ "Motl", "Lubos", "" ] ]

In this note, we first explain the equivalence between the interaction Hamiltonian of Green-Schwarz light-cone gauge superstring field theory and the twist field formalism known from matrix string theory. We analyze the role of the large N limit in matrix string theory, in particular in relation with conformal perturbation theory around the orbifold SCFT that reproduces light-cone string perturbation theory. We show how the scaling with N is directly related to measures on the moduli space of Riemann surfaces. The scaling dimension 3 of the Mandelstam vertex as reproduced by the twist field interaction is in this way related to the dimension 3(h-1) of the moduli space. We analyze the structure and scaling of the higher order twist fields that represent the contact terms. We find one relevant twist field at each order. More generally, the structure of string field theory seems more transparent in the twist field formalism. Finally we also investigate the modifications necessary to describe the pp-wave backgrounds in the light-cone gauge and we interpret a diagram from the BMN limit as a stringy diagram involving the contact term.

11.643942

12.340995

12.613951

11.321374

11.455073

11.660811

11.860977

10.981064

10.811251

12.080276

11.05934

11.047276

11.078161

10.726619

11.153871

11.205807

11.213449

11.09316

11.089569

11.052986

10.685436

2009.14368

Ryo Yokokura

Yoshimasa Hidaka, Muneto Nitta, Ryo Yokokura

Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics

30 + 39 pages, 46 figures; v2: references and discussions added, published version

JHEP 01 (2021) 173

10.1007/JHEP01(2021)173

KEK-TH-2254, J-PARC-TH-0225, RIKEN-iTHEMS-Report-20

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

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

We investigate a higher-group structure of massless axion electrodynamics in $(3+1)$ dimensions. By using the background gauging method, we show that the higher-form symmetries necessarily have a global semistrict 3-group (2-crossed module) structure, and exhibit 't Hooft anomalies of the 3-group. In particular, we find a cubic mixed 't Hooft anomaly between 0-form and 1-form symmetries, which is specific to the higher-group structure.

[ { "created": "Wed, 30 Sep 2020 01:11:03 GMT", "version": "v1" }, { "created": "Tue, 9 Feb 2021 14:28:47 GMT", "version": "v2" } ]

2021-02-10

[ [ "Hidaka", "Yoshimasa", "" ], [ "Nitta", "Muneto", "" ], [ "Yokokura", "Ryo", "" ] ]

We investigate a higher-group structure of massless axion electrodynamics in $(3+1)$ dimensions. By using the background gauging method, we show that the higher-form symmetries necessarily have a global semistrict 3-group (2-crossed module) structure, and exhibit 't Hooft anomalies of the 3-group. In particular, we find a cubic mixed 't Hooft anomaly between 0-form and 1-form symmetries, which is specific to the higher-group structure.

7.995769

6.150742

8.317943

6.452179

7.233712

6.878613

7.009042

6.15543

6.214189

8.899296

6.058619

6.772672

7.973722

6.866214

6.754658

6.86311

6.993516

7.080648

6.991912

7.817955

6.733932

1409.3874

Benson Way

Harvey S. Reall, Norihiro Tanahashi, and Benson Way

Shock Formation in Lovelock Theories

43 pages, 5 figures

Phys. Rev. D 91, 044013 (2015)

10.1103/PhysRevD.91.044013

null

hep-th gr-qc

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

We argue that Lovelock theories of gravity suffer from shock formation, unlike General Relativity. We consider the propagation of (i) a discontinuity in curvature, and (ii) weak, high frequency, gravitational waves. Such disturbances propagate along characteristic hypersurfaces of a "background" spacetime and their amplitude is governed by a transport equation. In GR the transport equation is linear. In Lovelock theories, it is nonlinear and its solutions can blow up, corresponding to the formation of a shock. We show that this effect is absent in some simple cases e.g. a flat background spacetime, and demonstrate its presence for a plane wave background. We comment on weak cosmic censorship, the evolution of shocks, and the nonlinear stability of Minkowski spacetime, in Lovelock theories.

[ { "created": "Fri, 12 Sep 2014 21:47:47 GMT", "version": "v1" } ]

2015-03-05

[ [ "Reall", "Harvey S.", "" ], [ "Tanahashi", "Norihiro", "" ], [ "Way", "Benson", "" ] ]

We argue that Lovelock theories of gravity suffer from shock formation, unlike General Relativity. We consider the propagation of (i) a discontinuity in curvature, and (ii) weak, high frequency, gravitational waves. Such disturbances propagate along characteristic hypersurfaces of a "background" spacetime and their amplitude is governed by a transport equation. In GR the transport equation is linear. In Lovelock theories, it is nonlinear and its solutions can blow up, corresponding to the formation of a shock. We show that this effect is absent in some simple cases e.g. a flat background spacetime, and demonstrate its presence for a plane wave background. We comment on weak cosmic censorship, the evolution of shocks, and the nonlinear stability of Minkowski spacetime, in Lovelock theories.

8.455575

8.582676

8.226584

7.969196

8.68766

8.274042

8.985192

8.106905

8.196192

8.871363

7.710711

8.200171

8.224566

7.961811

8.331155

7.904602

8.311254

8.041838

8.129741

8.367496

7.787022

1209.5357

Jeffrey Pennington

The six-point remainder function to all loop orders in the multi-Regge limit

25 pages, 1 figure

null

10.1007/JHEP01(2013)059

SLAC-PUB-15251

hep-th hep-ph

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

We present an all-orders formula for the six-point amplitude of planar maximally supersymmetric N=4 Yang-Mills theory in the leading-logarithmic approximation of multi-Regge kinematics. In the MHV helicity configuration, our results agree with an integral formula of Lipatov and Prygarin through at least 14 loops. A differential equation linking the MHV and NMHV helicity configurations has a natural action in the space of functions relevant to this problem---the single-valued harmonic polylogarithms introduced by Brown. These functions depend on a single complex variable and its conjugate, w and w*, which are quadratically related to the original kinematic variables. We investigate the all-orders formula in the near-collinear limit, which is approached as |w|->0. Up to power-suppressed terms, the resulting expansion may be organized by powers of log|w|. The leading term of this expansion agrees with the all-orders double-leading-logarithmic approximation of Bartels, Lipatov, and Prygarin. The explicit form for the sub-leading powers of log|w| is given in terms of modified Bessel functions.

[ { "created": "Mon, 24 Sep 2012 18:28:57 GMT", "version": "v1" } ]

2015-06-11

[ [ "Pennington", "Jeffrey", "" ] ]

We present an all-orders formula for the six-point amplitude of planar maximally supersymmetric N=4 Yang-Mills theory in the leading-logarithmic approximation of multi-Regge kinematics. In the MHV helicity configuration, our results agree with an integral formula of Lipatov and Prygarin through at least 14 loops. A differential equation linking the MHV and NMHV helicity configurations has a natural action in the space of functions relevant to this problem---the single-valued harmonic polylogarithms introduced by Brown. These functions depend on a single complex variable and its conjugate, w and w*, which are quadratically related to the original kinematic variables. We investigate the all-orders formula in the near-collinear limit, which is approached as |w|->0. Up to power-suppressed terms, the resulting expansion may be organized by powers of log|w|. The leading term of this expansion agrees with the all-orders double-leading-logarithmic approximation of Bartels, Lipatov, and Prygarin. The explicit form for the sub-leading powers of log|w| is given in terms of modified Bessel functions.

7.593578

7.653096

9.287363

7.609946

8.12795

7.921443

7.991506

7.385604

7.049469

9.663831

7.399923

7.64742

7.863845

7.460629

7.667881

7.519485

7.523842

7.440712

7.489649

7.891845

7.299952

1003.0684

Juan Manuel Romero

Juan M. Romero, R. Bernal-Jaquez, O. Gonzalez-Gaxiola

Is it possible to relate MOND with Horava Gravity?

9 pages,no figures. Minor changes. References added

Mod. Phys. Lett. A25:2501-2506,2010

10.1142/S0217732310033396

null

hep-th

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

In this work we present a scalar field theory invariant under space-time anisotropic transformations with a dynamic exponet $z$. It is shown that this theory possess symmetries similar to Horava gravity and that in the limit $z=0$ the equations of motion of the non-relativistic MOND theory are obtained. This result allow us to conjecture the existence of a Horava type gravity that in the limit $z=0$ is consistent with MOND.

[ { "created": "Tue, 2 Mar 2010 21:14:20 GMT", "version": "v1" }, { "created": "Mon, 12 Apr 2010 16:17:19 GMT", "version": "v2" }, { "created": "Fri, 15 Oct 2010 16:36:44 GMT", "version": "v3" } ]

2010-10-18

[ [ "Romero", "Juan M.", "" ], [ "Bernal-Jaquez", "R.", "" ], [ "Gonzalez-Gaxiola", "O.", "" ] ]

In this work we present a scalar field theory invariant under space-time anisotropic transformations with a dynamic exponet $z$. It is shown that this theory possess symmetries similar to Horava gravity and that in the limit $z=0$ the equations of motion of the non-relativistic MOND theory are obtained. This result allow us to conjecture the existence of a Horava type gravity that in the limit $z=0$ is consistent with MOND.

8.966509

8.699354

7.97225

7.844314

8.012977

7.793774

8.060442

7.731327

7.177378

8.515197

7.604424

7.817988

8.046157

7.829348

7.675971

7.750699

7.583416

7.590297

7.728929

7.957583

7.786173

1506.01368

Marco Scalisi

Cosmological $\alpha$-Attractors and de Sitter Landscape

14 pages, 3 figures. v3: minor clarifications and refs added. JHEP version

JHEP12(2015)134

10.1007/JHEP12(2015)134

null

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

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

We provide a unified description of cosmological $\alpha$-attractors and late-time acceleration, in excellent agreement with the latest Planck data. Our construction involves two superfields playing distinctive roles: one is the dynamical field and its evolution determines inflation and dark energy, the other is nilpotent and responsible for a landscape of vacua and supersymmetry breaking. We prove that the attractor nature of the theory is enhanced when combining the two sectors: cosmological attractors are very stable with respect to any possible value of the cosmological constant and, interestingly, to any generic coupling of the inflationary sector with the field responsible for uplifting. Finally, as related result, we show how specific couplings generate an arbitrary inflaton potential in a supergravity framework with varying Kahler curvature.

[ { "created": "Wed, 3 Jun 2015 19:56:03 GMT", "version": "v1" }, { "created": "Tue, 7 Jul 2015 19:14:52 GMT", "version": "v2" }, { "created": "Sat, 26 Dec 2015 19:48:05 GMT", "version": "v3" } ]

2015-12-29

[ [ "Scalisi", "Marco", "" ] ]

We provide a unified description of cosmological $\alpha$-attractors and late-time acceleration, in excellent agreement with the latest Planck data. Our construction involves two superfields playing distinctive roles: one is the dynamical field and its evolution determines inflation and dark energy, the other is nilpotent and responsible for a landscape of vacua and supersymmetry breaking. We prove that the attractor nature of the theory is enhanced when combining the two sectors: cosmological attractors are very stable with respect to any possible value of the cosmological constant and, interestingly, to any generic coupling of the inflationary sector with the field responsible for uplifting. Finally, as related result, we show how specific couplings generate an arbitrary inflaton potential in a supergravity framework with varying Kahler curvature.

12.630894

12.960408

12.965585

11.559139

13.029265

13.249866

13.361035

12.552359

11.83962

12.907526

12.534143

11.947891

12.216202

11.759346

12.368344

12.09832

12.116415

12.308278

11.943002

12.536529

11.864565

1509.07431

Parinya Karndumri

Non-semisimple gauging of a magical N=4 supergravity in three dimensions

22 pages, no figure, typos and operator dimension corrected

JHEP12(2015)153

10.1007/JHEP12(2015)153

null

hep-th

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

We construct a new $N=4$ non-semisimple gauged supergravity in three dimensions with $E_{6(2)}/SU(6)\times SU(2)$ scalar manifold and $SO(4)\ltimes \mathbf{T}^6$ gauge group. Depending on the values of the gauge coupling constants, the theory admits both the maximally supersymmetric $AdS_3$ vacuum preserving $SO(4)$ gauge symmetry and half-supersymmetric domain walls with unbroken $SO(4)$ symmetry. We give all scalar masses at the supersymmetric $AdS_3$ critical point corresponding to an $N=(4,0)$ superconformal field theory (SCFT) in two dimensions. The scalar potential also admits two flat directions corresponding to marginal deformations that preserve full supersymmetry and conformal symmetry. This $SO(4)\ltimes \mathbf{T}^6$ gauged supergravity is expected to arise from a dimensional reduction on a three-sphere of the minimal $N=(1,0)$ supergravity in six dimensions coupled to three tensor and four vector multiplets.

[ { "created": "Thu, 24 Sep 2015 16:48:21 GMT", "version": "v1" }, { "created": "Wed, 14 Oct 2015 14:30:38 GMT", "version": "v2" }, { "created": "Wed, 23 Dec 2015 11:12:28 GMT", "version": "v3" } ]

2015-12-24

[ [ "Karndumri", "Parinya", "" ] ]

We construct a new $N=4$ non-semisimple gauged supergravity in three dimensions with $E_{6(2)}/SU(6)\times SU(2)$ scalar manifold and $SO(4)\ltimes \mathbf{T}^6$ gauge group. Depending on the values of the gauge coupling constants, the theory admits both the maximally supersymmetric $AdS_3$ vacuum preserving $SO(4)$ gauge symmetry and half-supersymmetric domain walls with unbroken $SO(4)$ symmetry. We give all scalar masses at the supersymmetric $AdS_3$ critical point corresponding to an $N=(4,0)$ superconformal field theory (SCFT) in two dimensions. The scalar potential also admits two flat directions corresponding to marginal deformations that preserve full supersymmetry and conformal symmetry. This $SO(4)\ltimes \mathbf{T}^6$ gauged supergravity is expected to arise from a dimensional reduction on a three-sphere of the minimal $N=(1,0)$ supergravity in six dimensions coupled to three tensor and four vector multiplets.

4.608828

3.837194

5.513266

3.929203

4.061846

3.897797

3.795013

3.832319

3.708039

5.11831

3.979679

4.273351

4.800071

4.223535

4.216184

4.312761

4.097481

4.276186

4.315619

4.750514

4.205906

hep-th/0511237

Atsushi Higuchi

Possible Constraints on String Theory in Closed Space with Symmetries

8 pages, presented at NATO Advanced Research Workshop on Noncommutative Structures in Mathematics and Physics, Kiev, Ukraine, 24-27 Sep 2000

Noncommutative structures in mathematics and physics (Kluwer, 2001), pp. 465-473

null

hep-th astro-ph gr-qc

null

It is well known that certain quadratic constraints have to be imposed on linearized gravity in closed space with symmetries. We review this phenomenon and discuss one of the constraints which arise in linearized gravity on static flat torus in detail. Then we point out that the mode with negative kinetic energy, which is necessary for satisfying this constraint, appears to be missing in the free bosonic string spectrum.

[ { "created": "Wed, 23 Nov 2005 21:55:45 GMT", "version": "v1" } ]

2007-05-23

[ [ "Higuchi", "Atsushi", "" ] ]

It is well known that certain quadratic constraints have to be imposed on linearized gravity in closed space with symmetries. We review this phenomenon and discuss one of the constraints which arise in linearized gravity on static flat torus in detail. Then we point out that the mode with negative kinetic energy, which is necessary for satisfying this constraint, appears to be missing in the free bosonic string spectrum.

18.782713

15.165802

15.37863

14.41517

15.655635

16.204865

16.699404

14.49836

14.767777

16.329739

15.897534

14.321498

14.697058

14.447533

15.08543

14.748415

14.809525

14.284199

15.919792

14.956059

15.228234

1801.01172

Masafumi Shimojo

Masafumi Shimojo, Satoshi Ishihara, Hironobu Kataoka, Atsuko Matsukawa and Hikaru Sato

The superspace representation of Super Yang-Mills theory on NCG

arXiv admin note: text overlap with arXiv:1311.4671

Prog Theor Exp Phys (2018)

10.1093/ptep/pty046

null

hep-th

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

A few years ago, we found the supersymmetric(SUSY) counterpart of the spectral triple which specified noncommutative geometry(NCG). Based on "the triple", we considered the SUSY version of the spectral action principle and had derived the action of super Yang--Mills theory, minimal supersymmetric standard model, and supergravity. In these theories, we used vector notation in order to express a chiral or an anti-chiral matter superfield. We also represented the NCG algebra and the Dirac operator by matrices which operated on the space of matter field. In this paper, we represent the triple in the superspace coordinate system $(x^\mu,\theta,\bar{\theta})$. We also introduce "extracting operators" and the new definition of the supertrace so that we can also investigate the square of the Dirac operator on the Minkowskian manifold in the superspace. We finally re-construct the super Yang--Mills theory on NCG in the superspace coordinate to which we are familiar to describe SUSY theories.

[ { "created": "Mon, 25 Dec 2017 08:01:55 GMT", "version": "v1" } ]

2019-12-06

[ [ "Shimojo", "Masafumi", "" ], [ "Ishihara", "Satoshi", "" ], [ "Kataoka", "Hironobu", "" ], [ "Matsukawa", "Atsuko", "" ], [ "Sato", "Hikaru", "" ] ]

A few years ago, we found the supersymmetric(SUSY) counterpart of the spectral triple which specified noncommutative geometry(NCG). Based on "the triple", we considered the SUSY version of the spectral action principle and had derived the action of super Yang--Mills theory, minimal supersymmetric standard model, and supergravity. In these theories, we used vector notation in order to express a chiral or an anti-chiral matter superfield. We also represented the NCG algebra and the Dirac operator by matrices which operated on the space of matter field. In this paper, we represent the triple in the superspace coordinate system $(x^\mu,\theta,\bar{\theta})$. We also introduce "extracting operators" and the new definition of the supertrace so that we can also investigate the square of the Dirac operator on the Minkowskian manifold in the superspace. We finally re-construct the super Yang--Mills theory on NCG in the superspace coordinate to which we are familiar to describe SUSY theories.

11.162835

10.734425

12.268656

10.149184

10.734703

10.68268

10.447362

10.461816

10.150058

12.198108

10.171902

10.276031

10.621133

10.285369

10.463001

10.616909

10.27516

10.522681

10.401196

10.834823

10.469974

hep-th/0602083

Sean Nowling

Shinsuke Kawai, Esko Keski-Vakkuri, Robert G. Leigh, Sean Nowling

Fractional S-branes on a Spacetime Orbifold

22 pages, 6 eps figures

Phys.Rev.D73:106004,2006

10.1103/PhysRevD.73.106004

null

hep-th

null

Unstable D-branes are central objects in string theory, and exist also in time-dependent backgrounds. In this paper we take first steps to studying brane decay in spacetime orbifolds. As a concrete model we focus on the R^{1,d}/Z_2 orbifold. We point out that on a spacetime orbifold there exist two kinds of S-branes, fractional S-branes in addition to the usual ones. We investigate their construction in the open string and closed string boundary state approach. As an application of these constructions, we consider a scenario where an unstable brane nucleates at the origin of time of a spacetime, its initial energy then converting into energy flux in the form of closed strings. The dual open string description allows for a well-defined description of this process even if it originates at a singular origin of the spacetime.

[ { "created": "Wed, 8 Feb 2006 16:55:13 GMT", "version": "v1" } ]

2008-11-26

[ [ "Kawai", "Shinsuke", "" ], [ "Keski-Vakkuri", "Esko", "" ], [ "Leigh", "Robert G.", "" ], [ "Nowling", "Sean", "" ] ]

Unstable D-branes are central objects in string theory, and exist also in time-dependent backgrounds. In this paper we take first steps to studying brane decay in spacetime orbifolds. As a concrete model we focus on the R^{1,d}/Z_2 orbifold. We point out that on a spacetime orbifold there exist two kinds of S-branes, fractional S-branes in addition to the usual ones. We investigate their construction in the open string and closed string boundary state approach. As an application of these constructions, we consider a scenario where an unstable brane nucleates at the origin of time of a spacetime, its initial energy then converting into energy flux in the form of closed strings. The dual open string description allows for a well-defined description of this process even if it originates at a singular origin of the spacetime.

11.986465

11.778586

12.982183

10.458896

11.13132

10.319725

11.699715

10.215978

10.566689

14.331862

10.66464

10.925132

11.140816

10.867998

10.671983

10.386375

10.787492

10.77148

10.934406

11.186017

10.754836

hep-th/9802074

Misha Stephanov

Horatiu Nastase, Misha Stephanov, Peter van Nieuwenhuizen and Anton Rebhan

Topological boundary conditions, the BPS bound, and elimination of ambiguities in the quantum mass of solitons

38 pages

Nucl.Phys. B542 (1999) 471-514

10.1016/S0550-3213(98)00773-1

ITP-SB 98-9, TUW 98-01

hep-th

null

We fix the long-standing ambiguity in the 1-loop contribution to the mass of a 1+1-dimensional supersymmetric soliton by adopting a set of boundary conditions which follow from the symmetries of the action and which depend only on the topology of the sector considered, and by invoking a physical principle that ought to hold generally in quantum field theories with a topological sector: for vanishing mass and other dimensionful constants, the vacuum energies in the trivial and topological sectors have to become equal. In the two-dimensional N=1 supersymmetric case we find a result which for the supersymmetric sine-Gordon model agrees with the known exact solution of the S-matrix but seems to violate the BPS bound. We analyze the nontrivial relation between the quantum soliton mass and the quantum BPS bound and find a resolution. For N=2 supersymmetric theories, there are no one-loop corrections to the soliton mass and to the central charge (and also no ambiguities) so that the BPS bound is always saturated. Beyond 1-loop there are no ambiguities in any theory, which we explicitly check by a 2-loop calculation in the sine-Gordon model.

[ { "created": "Wed, 11 Feb 1998 19:55:05 GMT", "version": "v1" } ]

2009-10-31

[ [ "Nastase", "Horatiu", "" ], [ "Stephanov", "Misha", "" ], [ "van Nieuwenhuizen", "Peter", "" ], [ "Rebhan", "Anton", "" ] ]

We fix the long-standing ambiguity in the 1-loop contribution to the mass of a 1+1-dimensional supersymmetric soliton by adopting a set of boundary conditions which follow from the symmetries of the action and which depend only on the topology of the sector considered, and by invoking a physical principle that ought to hold generally in quantum field theories with a topological sector: for vanishing mass and other dimensionful constants, the vacuum energies in the trivial and topological sectors have to become equal. In the two-dimensional N=1 supersymmetric case we find a result which for the supersymmetric sine-Gordon model agrees with the known exact solution of the S-matrix but seems to violate the BPS bound. We analyze the nontrivial relation between the quantum soliton mass and the quantum BPS bound and find a resolution. For N=2 supersymmetric theories, there are no one-loop corrections to the soliton mass and to the central charge (and also no ambiguities) so that the BPS bound is always saturated. Beyond 1-loop there are no ambiguities in any theory, which we explicitly check by a 2-loop calculation in the sine-Gordon model.

8.831233

8.771014

9.482801

8.482095

9.00626

9.027109

9.167255

8.760573

8.211607

10.398884

8.340331

8.574558

8.75605

8.315483

8.754631

8.485128

8.402609

8.500588

8.661281

8.626554

8.460689

hep-th/9110054

Konstadinos Sfetsos

I. Bars and K. Sfetsos

Generalized Duality and Singular Strings in Higher Dimensions

17 pages

Mod.Phys.Lett. A7 (1992) 1091-1104

10.1142/S0217732392000963

null

hep-th

null

Deformations of gauged WZW actions are constructed for any pair $(G,H)$ by taking different embeddings of the gauge group $H\subset G$ as it acts on the left and right of the group element $g$. This leads to models that are dual to each other, generalizing the axial/vector duality of the two dimensional black hole manifold. The classical equations are completely solved for any pair $(G,H)$ and in particular for the anti de Sitter string based on $SO(d- 1,2)/SO(d-1,1)$ for which the normal modes are determined. Duality is demonstrated for models that have the same set of normal modes. Concentrating on $SO(2,2)/SO(2,1)$, the metric and dilaton fields of the $d=3$ string as well as some of the dual generalizations are obtained. They have curvature singularities and represent new singular solutions of Einstein's general relativity in three dimensions.

[ { "created": "Fri, 18 Oct 1991 20:36:24 GMT", "version": "v1" }, { "created": "Thu, 24 Oct 1991 03:57:58 GMT", "version": "v2" } ]

2009-10-22

[ [ "Bars", "I.", "" ], [ "Sfetsos", "K.", "" ] ]

Deformations of gauged WZW actions are constructed for any pair $(G,H)$ by taking different embeddings of the gauge group $H\subset G$ as it acts on the left and right of the group element $g$. This leads to models that are dual to each other, generalizing the axial/vector duality of the two dimensional black hole manifold. The classical equations are completely solved for any pair $(G,H)$ and in particular for the anti de Sitter string based on $SO(d- 1,2)/SO(d-1,1)$ for which the normal modes are determined. Duality is demonstrated for models that have the same set of normal modes. Concentrating on $SO(2,2)/SO(2,1)$, the metric and dilaton fields of the $d=3$ string as well as some of the dual generalizations are obtained. They have curvature singularities and represent new singular solutions of Einstein's general relativity in three dimensions.

9.108686

9.081653

10.018626

8.723495

8.524329

8.833259

8.82837

8.329768

8.859429

10.375243

8.0127

8.539883

9.087976

8.757063

8.430029

8.633314

8.447835

8.658105

8.693039

9.011946

8.616491

1807.07474

Matteo Baggioli

Lasma Alberte, Matteo Baggioli, Victor Cancer Castillo, Oriol Pujolas

Elasticity bounds from Effective Field Theory

v3: erratum added to the original paper published in PRD

Phys. Rev. D 100, 065015 (2019)

10.1103/PhysRevD.100.065015

CCTP-2018-3, ITCP-IPP 2017/22

hep-th cond-mat.soft cond-mat.stat-mech

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

Phonons in solid materials can be understood as the Goldstone bosons of the spontaneously broken spacetime symmetries. As such their low energy dynamics are greatly constrained and can be captured by standard effective field theory (EFT) methods. In particular, knowledge of the nonlinear stress-strain curves completely fixes the full effective Lagrangian at leading order in derivatives. We attempt to illustrate the potential of effective methods focusing on the so-called hyperelastic materials, which allow large elastic deformations. We find that the self-consistency of the EFT imposes a number of bounds on physical quantities, mainly on the maximum strain and maximum stress that can be supported by the medium. In particular, for stress-strain relations that at large deformations are characterized by a power-law behaviour $\sigma(\varepsilon)\sim \varepsilon^\nu$, the maximum strain exhibits a sharp correlation with the exponent $\nu$.

[ { "created": "Thu, 19 Jul 2018 14:56:19 GMT", "version": "v1" }, { "created": "Mon, 16 Sep 2019 09:06:49 GMT", "version": "v2" }, { "created": "Tue, 9 Jun 2020 14:18:21 GMT", "version": "v3" } ]

2020-06-11

[ [ "Alberte", "Lasma", "" ], [ "Baggioli", "Matteo", "" ], [ "Castillo", "Victor Cancer", "" ], [ "Pujolas", "Oriol", "" ] ]

Phonons in solid materials can be understood as the Goldstone bosons of the spontaneously broken spacetime symmetries. As such their low energy dynamics are greatly constrained and can be captured by standard effective field theory (EFT) methods. In particular, knowledge of the nonlinear stress-strain curves completely fixes the full effective Lagrangian at leading order in derivatives. We attempt to illustrate the potential of effective methods focusing on the so-called hyperelastic materials, which allow large elastic deformations. We find that the self-consistency of the EFT imposes a number of bounds on physical quantities, mainly on the maximum strain and maximum stress that can be supported by the medium. In particular, for stress-strain relations that at large deformations are characterized by a power-law behaviour $\sigma(\varepsilon)\sim \varepsilon^\nu$, the maximum strain exhibits a sharp correlation with the exponent $\nu$.

9.413779

9.395202

8.971869

9.209414

9.654613

9.216259

9.338847

9.166574

8.772872

9.395927

8.974813

8.783244

8.753813

8.672049

8.500041

8.547853

8.422226

8.270326

8.615187

8.910011

8.641234

hep-th/0410009

J. Mourad

Continuous spin and tensionless strings

13 pages; v2 added references; v3 discussion added

null

hep-th

null

A classical action is proposed which upon quantisation yields massless particles belonging to the continuous spin representation of the Poincar\'e group. The string generalisation of the action is identical to the tensionless extrinsic curvature action proposed by Savvidy. We show that the BRST quantisation of the string action gives a critical dimension of 28. The constraints result in a number of degrees of freedom which is the same as the bosonic string.

[ { "created": "Fri, 1 Oct 2004 13:08:13 GMT", "version": "v1" }, { "created": "Thu, 7 Oct 2004 13:08:01 GMT", "version": "v2" }, { "created": "Thu, 14 Apr 2005 14:38:02 GMT", "version": "v3" } ]

2007-05-23

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

A classical action is proposed which upon quantisation yields massless particles belonging to the continuous spin representation of the Poincar\'e group. The string generalisation of the action is identical to the tensionless extrinsic curvature action proposed by Savvidy. We show that the BRST quantisation of the string action gives a critical dimension of 28. The constraints result in a number of degrees of freedom which is the same as the bosonic string.

9.843884

8.811255

10.950388

8.23719

9.86167

8.66758

8.506378

8.471971

8.622552

10.551057

8.335865

8.212989

9.411727

8.587953

8.381128

8.21909

8.522818

8.423121

8.515071

9.335764

8.182275

1008.2506

Yu-Chieh Chung

On Global Flipped SU(5) GUTs in F-theory

45 pages, 12 tables, 1 figure; typos corrected, footnotes added, and a reference added

JHEP 1103:126,2011

10.1007/JHEP03(2011)126

MIFPA-10-38

hep-th

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

We construct an SU(4) spectral divisor and its factorization of types (3,1) and (2,2) based on the construction proposed in [1]. We calculate the chiral spectra of flipped SU(5) GUTs by using the spectral divisor construction. The results agree with those from the analysis of semi-local spectral covers. Our computations provide an example for the validity of the spectral divisor construction and suggest that the standard heterotic formulae are applicable to the case of F-theory on an elliptically fibered Calabi-Yau fourfold with no heterotic dual.

[ { "created": "Sun, 15 Aug 2010 09:12:09 GMT", "version": "v1" }, { "created": "Sun, 27 Mar 2011 01:57:35 GMT", "version": "v2" } ]

2011-03-31

[ [ "Chung", "Yu-Chieh", "" ] ]

We construct an SU(4) spectral divisor and its factorization of types (3,1) and (2,2) based on the construction proposed in [1]. We calculate the chiral spectra of flipped SU(5) GUTs by using the spectral divisor construction. The results agree with those from the analysis of semi-local spectral covers. Our computations provide an example for the validity of the spectral divisor construction and suggest that the standard heterotic formulae are applicable to the case of F-theory on an elliptically fibered Calabi-Yau fourfold with no heterotic dual.

10.99629

10.453289

11.61977

10.067331

10.532581

10.715275

10.611168

9.455445

10.316016

12.017356

9.630386

10.38002

10.334301

10.13112

10.084162

10.230171

9.980683

10.137329

10.17195

10.563004

10.095735

hep-th/0312234

Hiroaki Kanno

Tohru Eguchi and Hiroaki Kanno

Geometric transitions, Chern-Simons gauge theory and Veneziano type amplitudes

16 pages, 2 figures, (v2,3) minor changes, to appear in Phys. Lett. B

Phys.Lett. B585 (2004) 163-172

10.1016/j.physletb.2004.01.085

null

hep-th

null

We consider the geometric transition and compute the all-genus topological string amplitudes expressed in terms of Hopf link invariants and topological vertices of Chern-Simons gauge theory. We introduce an operator technique of 2-dimensional CFT which greatly simplifies the computations. We in particular show that in the case of local Calabi-Yau manifolds described by toric geometry basic amplitudes are written as vacuum expectation values of a product vertex operators and thus appear quite similar to the Veneziano amplitudes of the old dual resonance models. Topological string amplitudes can be easily evaluated using vertex operator algebra.

[ { "created": "Fri, 19 Dec 2003 03:37:09 GMT", "version": "v1" }, { "created": "Sat, 27 Dec 2003 05:47:54 GMT", "version": "v2" }, { "created": "Thu, 5 Feb 2004 05:04:57 GMT", "version": "v3" } ]

2009-11-10

[ [ "Eguchi", "Tohru", "" ], [ "Kanno", "Hiroaki", "" ] ]

We consider the geometric transition and compute the all-genus topological string amplitudes expressed in terms of Hopf link invariants and topological vertices of Chern-Simons gauge theory. We introduce an operator technique of 2-dimensional CFT which greatly simplifies the computations. We in particular show that in the case of local Calabi-Yau manifolds described by toric geometry basic amplitudes are written as vacuum expectation values of a product vertex operators and thus appear quite similar to the Veneziano amplitudes of the old dual resonance models. Topological string amplitudes can be easily evaluated using vertex operator algebra.

10.655821

10.262359

12.928975

10.05197

11.201028

10.80777

11.593593

10.197702

10.346401

11.833959

9.796642

10.468021

11.154485

10.257625

10.847635

10.342085

10.911273

10.129432

10.248281

10.849625

10.207451

1811.09641

Sa\v{s}o Grozdanov

On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections

V2: 20 pages, 1 figure. References added. Version to appear in JHEP

JHEP 1901 (2019) 048

10.1007/JHEP01(2019)048

MIT-CTP/5085

hep-th cond-mat.str-el gr-qc nlin.CD

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

Pole-skipping is a recently discovered signature of many-body quantum chaos in collective energy dynamics. It establishes a precise connection between resummed, all-order hydrodynamics and the underlying microscopic chaos. In this paper, we demonstrate the existence of pole-skipping in holographic conformal field theories with higher-derivative gravity duals. In particular, we first consider Einstein-Hilbert gravity deformed by curvature-squared ($R^2$) corrections and then type IIB supergravity theory with the $\alpha'^3 R^4$ term, where $\alpha'$ is set by the length of the fundamental string. The former case allows us to discuss the effects of leading-order $1/N_c$ corrections (with $N_c$ being the number of colours of the dual gauge group) and phenomenological coupling constant dependence. In Einstein-Gauss-Bonnet theory, pole-skipping turns out to be valid non-perturbatively in the Gauss-Bonnet coupling. The $\alpha'^3 R^4$ deformation enables us to study perturbative inverse 't Hooft coupling corrections ($\alpha'^3 \sim 1 / \lambda^{3/2}$) in $SU(N_c)$, $\mathcal{N} = 4$ supersymmetric Yang-Mills theory with infinite $N_c$. While the maximal Lyapunov exponent characterising quantum chaos remains uncorrected, the butterfly velocity is shown to depend both on $N_c$ and the coupling. Several implications of the relation between hydrodynamics and chaos are discussed, including an intriguing similarity between the dependence of the butterfly velocity and the ratio of shear viscosity to entropy density on stringy corrections.

[ { "created": "Fri, 23 Nov 2018 19:00:28 GMT", "version": "v1" }, { "created": "Thu, 3 Jan 2019 14:25:57 GMT", "version": "v2" } ]

2019-01-07

[ [ "Grozdanov", "Sašo", "" ] ]

Pole-skipping is a recently discovered signature of many-body quantum chaos in collective energy dynamics. It establishes a precise connection between resummed, all-order hydrodynamics and the underlying microscopic chaos. In this paper, we demonstrate the existence of pole-skipping in holographic conformal field theories with higher-derivative gravity duals. In particular, we first consider Einstein-Hilbert gravity deformed by curvature-squared ($R^2$) corrections and then type IIB supergravity theory with the $\alpha'^3 R^4$ term, where $\alpha'$ is set by the length of the fundamental string. The former case allows us to discuss the effects of leading-order $1/N_c$ corrections (with $N_c$ being the number of colours of the dual gauge group) and phenomenological coupling constant dependence. In Einstein-Gauss-Bonnet theory, pole-skipping turns out to be valid non-perturbatively in the Gauss-Bonnet coupling. The $\alpha'^3 R^4$ deformation enables us to study perturbative inverse 't Hooft coupling corrections ($\alpha'^3 \sim 1 / \lambda^{3/2}$) in $SU(N_c)$, $\mathcal{N} = 4$ supersymmetric Yang-Mills theory with infinite $N_c$. While the maximal Lyapunov exponent characterising quantum chaos remains uncorrected, the butterfly velocity is shown to depend both on $N_c$ and the coupling. Several implications of the relation between hydrodynamics and chaos are discussed, including an intriguing similarity between the dependence of the butterfly velocity and the ratio of shear viscosity to entropy density on stringy corrections.

6.323231

5.744534

6.604939

5.757385

6.078165

6.242899

5.99476

5.871396

5.582611

6.790399

5.80934

5.876417

6.014463

5.930158

5.86867

5.984066

5.934333

6.090687

5.835735

6.011747

5.964316

hep-th/9401040

M. B. Paranjape

T. Gisiger and M. B. Paranjape

Low Energy Skyrmion-Skyrmion Scattering

18 pages, UdeM-LPN-TH-94-187, plain tex

Phys.Rev. D50 (1994) 1010-1015

10.1103/PhysRevD.50.1010

null

hep-th

null

We study the scattering of two Skyrmions at low energy and large separation. We use the method proposed by Manton for truncating the degrees of freedom of the system from infinite to a manageable finite number. This corresponds to identifying the manifold consisting of the union of the low energy critical points of the potential along with the gradient flow curves joining these together and by positing that the dynamics is restricted here. The kinetic energy provides an induced metric on this manifold while restricting the full potential energy to the manifold defines a potential. The low energy dynamics is now constrained to these finite number of degrees of freedom. For large separation of the two Skyrmions the manifold is parametrised by the variables of the product ansatz. We find the interaction between two Skyrmions coming from the induced metric, which was independently found by Schroers. We find that the static potential is actually negligible in comparison to this interaction. Thus to lowest order, at large separation, the dynamics reduces to geodesic motion on the manifold. We consider the scattering to first order in the interaction using the perturbative method of Lagrange and find that the dynamics in the no spin or charge exchange sector reduces to the Kepler problem.

[ { "created": "Tue, 11 Jan 1994 03:55:05 GMT", "version": "v1" }, { "created": "Mon, 24 Jan 1994 16:58:59 GMT", "version": "v2" } ]

2009-10-28

[ [ "Gisiger", "T.", "" ], [ "Paranjape", "M. B.", "" ] ]

We study the scattering of two Skyrmions at low energy and large separation. We use the method proposed by Manton for truncating the degrees of freedom of the system from infinite to a manageable finite number. This corresponds to identifying the manifold consisting of the union of the low energy critical points of the potential along with the gradient flow curves joining these together and by positing that the dynamics is restricted here. The kinetic energy provides an induced metric on this manifold while restricting the full potential energy to the manifold defines a potential. The low energy dynamics is now constrained to these finite number of degrees of freedom. For large separation of the two Skyrmions the manifold is parametrised by the variables of the product ansatz. We find the interaction between two Skyrmions coming from the induced metric, which was independently found by Schroers. We find that the static potential is actually negligible in comparison to this interaction. Thus to lowest order, at large separation, the dynamics reduces to geodesic motion on the manifold. We consider the scattering to first order in the interaction using the perturbative method of Lagrange and find that the dynamics in the no spin or charge exchange sector reduces to the Kepler problem.

11.054908

13.076816

11.508374

11.263159

11.565535

12.18397

11.998172

11.814893

11.567484

12.262629

11.175695

11.16257

11.840631

11.140658

11.379533

10.78369

11.158979

10.777178

10.934258

11.291181

10.847582

hep-th/9310039

null

R. Fiore, D. Galeazzi, L. Masperi and A. Megevand

Strings And Non-Topological Solitons

12 pages. 5 figures

Mod.Phys.Lett. A9 (1994) 557-568

10.1142/S0217732394003798

CNEA-CAB IT3079/DFUC

hep-th

null

We have numerically calculated topological andnon-topological solitons in two spatial dimensions with Chern-Simons term. Their quantum stability, as well as that of the Maxwell vortex, is analyzed by means of bounce instantons which involve three-dimensional strings and non-topological solitons.

[ { "created": "Thu, 7 Oct 1993 11:59:20 GMT", "version": "v1" } ]

2009-10-22

[ [ "Fiore", "R.", "" ], [ "Galeazzi", "D.", "" ], [ "Masperi", "L.", "" ], [ "Megevand", "A.", "" ] ]

We have numerically calculated topological andnon-topological solitons in two spatial dimensions with Chern-Simons term. Their quantum stability, as well as that of the Maxwell vortex, is analyzed by means of bounce instantons which involve three-dimensional strings and non-topological solitons.

23.872545

20.839832

23.001028

20.756086

22.073563

23.443745

19.660812

20.019131

20.739614

24.056568

21.877876

20.747236

20.660843

20.011435

18.809807

20.120272

19.08337

19.798826

20.403687

20.978508

21.2355

1603.02768

Igor Samsonov

I.L. Buchbinder, E.A. Ivanov, I.B. Samsonov

The low-energy N=4 SYM effective action in diverse harmonic superspaces

102 pages, v2: references added

null

10.1134/S1063779617030042

null

hep-th

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

We review various superspace approaches to the description of the low-energy effective action in N=4 super Yang-Mills (SYM) theory. We consider the four-derivative part of the low-energy effective action in the Coulomb branch. The typical components of this effective action are the gauge field F^4/X^4 and the scalar field Wess-Zumino terms. We construct N=4 supersymmetric completions of these terms in the framework of different harmonic superspaces supporting N=2,3,4 supersymmetries. These approaches are complementary to each other in the sense that they make manifest different subgroups of the total SU(4) R-symmetry group. We show that the effective action acquires an extremely simple form in those superspaces which manifest the non-anomalous maximal subgroups of SU(4). The common characteristic feature of our construction is that we restore the superfield effective actions exclusively by employing the N=4 supersymmetry and/or superconformal PSU(2,2|4) symmetry.

[ { "created": "Wed, 9 Mar 2016 02:46:56 GMT", "version": "v1" }, { "created": "Sun, 27 Mar 2016 05:49:49 GMT", "version": "v2" }, { "created": "Fri, 1 Apr 2016 06:29:27 GMT", "version": "v3" } ]

2017-08-23

[ [ "Buchbinder", "I. L.", "" ], [ "Ivanov", "E. A.", "" ], [ "Samsonov", "I. B.", "" ] ]

We review various superspace approaches to the description of the low-energy effective action in N=4 super Yang-Mills (SYM) theory. We consider the four-derivative part of the low-energy effective action in the Coulomb branch. The typical components of this effective action are the gauge field F^4/X^4 and the scalar field Wess-Zumino terms. We construct N=4 supersymmetric completions of these terms in the framework of different harmonic superspaces supporting N=2,3,4 supersymmetries. These approaches are complementary to each other in the sense that they make manifest different subgroups of the total SU(4) R-symmetry group. We show that the effective action acquires an extremely simple form in those superspaces which manifest the non-anomalous maximal subgroups of SU(4). The common characteristic feature of our construction is that we restore the superfield effective actions exclusively by employing the N=4 supersymmetry and/or superconformal PSU(2,2|4) symmetry.

7.609569

6.765752

8.082531

6.806202

6.828207

6.9417

6.921355

6.540388

6.939953

9.089994

6.937529

7.177414

7.578386

6.984153

7.043129

6.887116

6.926663

6.900434

6.989192

7.651197

6.824272

hep-th/9902204

David Fairlie

D.B. Fairlie (University of Durham)

Dirac-Born -Infeld Equations

9 pages, LaTeX

Phys.Lett. B456 (1999) 141-146

10.1016/S0370-2693(99)00495-5

DTP/99/11

hep-th gr-qc

null

Properties of the Dirac-Born-Infeld Lagrangian analogous to those of the Nambu-Goto String are analysed. In particular the Lagrangian is shown to be constant or zero on the space of solutions of the equations of motion if the Lagrangian is taken to any power other than 1/2.

[ { "created": "Fri, 26 Feb 1999 12:43:51 GMT", "version": "v1" } ]

2009-10-31

[ [ "Fairlie", "D. B.", "", "University of Durham" ] ]

Properties of the Dirac-Born-Infeld Lagrangian analogous to those of the Nambu-Goto String are analysed. In particular the Lagrangian is shown to be constant or zero on the space of solutions of the equations of motion if the Lagrangian is taken to any power other than 1/2.

7.776628

6.777112

6.625946

6.742505

6.880947

6.968156

6.035505

6.051405

7.149459

7.771521

6.335959

6.667619

6.914747

6.807247

6.665009

6.671881

6.398427

6.695517

6.688367

6.889364

6.575887

hep-th/0205227

Danielsson

Ulf H. Danielsson

Inflation, holography, and the choice of vacuum in de Sitter space

16 pages. v2: references added and improved discussion about consistency of vacua

JHEP 0207 (2002) 040

10.1088/1126-6708/2002/07/040

null

hep-th

null

A family of de Sitter vacua introduced in hep-th/0203198 as plausible initial conditions for inflation, are discussed from the point of view of de Sitter holography. The vacua are argued to be physically acceptable and the inflationary picture provides a physical interpretation of a subfamily of de Sitter invariant vacua. Some speculations on the issue of vacuum choice and the connection between the CMBR and holography are also provided.

[ { "created": "Wed, 22 May 2002 18:14:54 GMT", "version": "v1" }, { "created": "Wed, 29 May 2002 09:46:04 GMT", "version": "v2" } ]

2009-11-07

[ [ "Danielsson", "Ulf H.", "" ] ]

A family of de Sitter vacua introduced in hep-th/0203198 as plausible initial conditions for inflation, are discussed from the point of view of de Sitter holography. The vacua are argued to be physically acceptable and the inflationary picture provides a physical interpretation of a subfamily of de Sitter invariant vacua. Some speculations on the issue of vacuum choice and the connection between the CMBR and holography are also provided.

12.42666

10.533191

11.768208

10.914645

10.680846

11.465853

10.496984

9.944624

10.163439

12.239436

10.222305

10.343822

11.481646

10.845103

10.873254

11.016271

10.890718

10.480148

10.69475

11.602157

10.579372

hep-th/9310140

Fis. Teorica. Valladolid.

A. Ballesteros, F.J. Herranz, M.A. del Olmo and M. Santander

4D Quantum Affine Algebras and Space--Time q-Symmetries

13 pages, AMS-TEX file

J.Math.Phys. 35 (1994) 4928-4940

10.1063/1.530823

UVA/93-101

hep-th math.QA

null

A global model of $q$-deformation for the quasi--orthogonal Lie algebras generating the groups of motions of the four--dimensional affine Cayley--Klein geometries is obtained starting from the three dimensional deformations. It is shown how the main algebraic classical properties of the CK systems can be implemented in the quantum case. Quantum deformed versions of either the space--time or space symmetry algebras (Poincar\'e (3+1), Galilei (3+1), 4D Euclidean as well as others) appear in this context as particular cases and several $q$-deformations for them are directly obtained.

[ { "created": "Thu, 21 Oct 1993 13:45:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Ballesteros", "A.", "" ], [ "Herranz", "F. J.", "" ], [ "del Olmo", "M. A.", "" ], [ "Santander", "M.", "" ] ]

A global model of $q$-deformation for the quasi--orthogonal Lie algebras generating the groups of motions of the four--dimensional affine Cayley--Klein geometries is obtained starting from the three dimensional deformations. It is shown how the main algebraic classical properties of the CK systems can be implemented in the quantum case. Quantum deformed versions of either the space--time or space symmetry algebras (Poincar\'e (3+1), Galilei (3+1), 4D Euclidean as well as others) appear in this context as particular cases and several $q$-deformations for them are directly obtained.

12.650251

11.021114

12.016938

10.65002

10.871437

11.983561

11.686573

11.117731

11.087961

13.781095

11.852883

11.033042

11.164901

10.92555

10.889305

10.873213

10.809512

10.788291

11.158774

11.372538

10.750178

hep-th/0205184

Andreas Brandhuber

Per Berglund, Andreas Brandhuber

Matter From G(2) Manifolds

29 pages; v2: typos, references

Nucl.Phys. B641 (2002) 351-375

10.1016/S0550-3213(02)00612-0

CITUSC/02-016, CALT-68-2385

hep-th

null

We describe how chiral matter charged under SU(N) and SO(2N) gauge groups arises from codimension seven singularities in compactifications of M-theory on manifolds with G(2) holonomy. The geometry of these spaces is that of a cone over a six-dimensional Einstein space which can be constructed by (multiple) unfolding of hyper-Kahler quotient spaces. In type IIA the corresponding picture is given by stacks of intersecting D6-branes and chiral matter arises from open strings stretching between them. Usually one obtains (bi)fundamental representations but by including orientifold six-planes in the type IIA picture we find more exotic representations like the anti-symmetric, which is important for the study of SU(5) grand unification, and trifundamental representations. We also exhibit many cases where the G(2) metrics can be described explicitly, although in general the metrics on the spaces constructed via unfolding are not known.

[ { "created": "Sat, 18 May 2002 01:48:13 GMT", "version": "v1" }, { "created": "Mon, 3 Jun 2002 09:57:56 GMT", "version": "v2" } ]

2010-04-05

[ [ "Berglund", "Per", "" ], [ "Brandhuber", "Andreas", "" ] ]

We describe how chiral matter charged under SU(N) and SO(2N) gauge groups arises from codimension seven singularities in compactifications of M-theory on manifolds with G(2) holonomy. The geometry of these spaces is that of a cone over a six-dimensional Einstein space which can be constructed by (multiple) unfolding of hyper-Kahler quotient spaces. In type IIA the corresponding picture is given by stacks of intersecting D6-branes and chiral matter arises from open strings stretching between them. Usually one obtains (bi)fundamental representations but by including orientifold six-planes in the type IIA picture we find more exotic representations like the anti-symmetric, which is important for the study of SU(5) grand unification, and trifundamental representations. We also exhibit many cases where the G(2) metrics can be described explicitly, although in general the metrics on the spaces constructed via unfolding are not known.

9.659551

8.53091

9.90254

8.676781

8.823394

9.291921

8.948271

8.630126

8.492199

10.655541

8.32435

8.928971

8.933603

8.700773

8.930859

8.663888

8.795492

8.670877

8.608563

9.014109

8.696644

hep-th/0501126

Jorge Conde

Propagators from characteristic surfaces

5 pages. To appear in the proceedings of 27th Spanish Relativity Meeting: Beyond General Relativity (ERES 2004), Madrid, Spain, 23-25 Sep 2004

null

IFT-UAM-CSIC 05-03

hep-th

null

We study the Goursat or characteristic problem, i.e. a hyperbolic equation with given data on a surface (the half of the standard Cauchy problem), with some kind of dimensional regularization procedure to deal with the divergences that appear. We will also comment some possible relation with a holographic setup.

[ { "created": "Mon, 17 Jan 2005 11:42:50 GMT", "version": "v1" } ]

2007-05-23

[ [ "Conde", "Jorge", "" ] ]

We study the Goursat or characteristic problem, i.e. a hyperbolic equation with given data on a surface (the half of the standard Cauchy problem), with some kind of dimensional regularization procedure to deal with the divergences that appear. We will also comment some possible relation with a holographic setup.

18.85391

18.386192

18.504255

19.022705

17.365679

20.799932

20.098959

17.023727

17.988842

21.015944

18.237341

16.06011

19.027874

16.73875

17.051573

17.322908

16.920038

16.276197

17.183498

17.881683

16.536959

hep-th/9604006

Alexey A. Deriglazov

A.A. Deriglazov and A.V. Galajinsky

The Green--Schwarz Superstring in Extended Configuration Space and Infinitely Reducible First Class Constraints Problem

14 pages, LaTeX

Phys.Rev. D54 (1996) 5195-5202

10.1103/PhysRevD.54.5195

null

hep-th

null

The Green--Schwarz superstring action is modified to include some set of additional (on-shell trivial) variables. A complete constraints system of the theory turns out to be reducible both in the original and in additional variable sectors. The initial $8s$ first class constraints and $8c$ second class ones are shown to be unified with $8c$ first and $8s$ second class constraints from the additional variables sector, resulting with $SO(1,9)$-covariant and linearly independent constraint sets. Residual reducibility proves to fall on second class constraints only.

[ { "created": "Tue, 2 Apr 1996 08:57:48 GMT", "version": "v1" } ]

2009-10-30

[ [ "Deriglazov", "A. A.", "" ], [ "Galajinsky", "A. V.", "" ] ]

The Green--Schwarz superstring action is modified to include some set of additional (on-shell trivial) variables. A complete constraints system of the theory turns out to be reducible both in the original and in additional variable sectors. The initial $8s$ first class constraints and $8c$ second class ones are shown to be unified with $8c$ first and $8s$ second class constraints from the additional variables sector, resulting with $SO(1,9)$-covariant and linearly independent constraint sets. Residual reducibility proves to fall on second class constraints only.

14.736113

12.952337

17.504629

13.482963

14.476479

15.418349

14.960046

13.878678

13.301

17.334005

12.729361

14.617721

13.223941

13.406487

14.195828

14.012744

13.753818

14.127954

14.386192

13.946721

13.214293

1908.05962

Mahdi Godazgar

Hadi Godazgar, Mahdi Godazgar, C.N. Pope

Taub-NUT from the Dirac monopole

16 pages; few typos corrected

Phys.Lett.B 798 (2019)

10.1016/j.physletb.2019.134938

null

hep-th gr-qc

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

Writing the metric of an asymptotically flat spacetime in Bondi coordinates provides an elegant way of formulating the Einstein equation as a characteristic value problem. In this setting, we find that a specific class of asymptotically flat spacetimes, including stationary solutions, contains a Maxwell gauge field as free data. Choosing this gauge field to correspond to the Dirac monopole, we derive the Taub-NUT solution in Bondi coordinates.

[ { "created": "Fri, 16 Aug 2019 13:11:12 GMT", "version": "v1" }, { "created": "Mon, 22 Feb 2021 20:37:39 GMT", "version": "v2" } ]

2021-02-24

[ [ "Godazgar", "Hadi", "" ], [ "Godazgar", "Mahdi", "" ], [ "Pope", "C. N.", "" ] ]

Writing the metric of an asymptotically flat spacetime in Bondi coordinates provides an elegant way of formulating the Einstein equation as a characteristic value problem. In this setting, we find that a specific class of asymptotically flat spacetimes, including stationary solutions, contains a Maxwell gauge field as free data. Choosing this gauge field to correspond to the Dirac monopole, we derive the Taub-NUT solution in Bondi coordinates.

10.4247

9.141651

8.454559

7.580615

9.10555

8.46082

8.366552

8.066314

8.71417

8.95075

8.187192

8.277582

8.074384

8.231794

8.500142

8.515808

8.311048

8.479843

8.450342

8.083797

8.442568

1304.6016

Helv\'ecio Geovani Fargnoli Filho

L. C. T. Brito, H. G. Fargnoli, A. P. Ba\^eta Scarpelli

Aspects of Quantum Corrections in a Lorentz-violating Extension of the Abelian Higgs Model

Subtle changes to match the published version. Some references added

Phys. Rev. D 87, 125023 (2013)

10.1103/PhysRevD.87.125023

null

hep-th

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

We investigate new aspects related to the abelian gauge-Higgs model with the addition of the Carroll-Field-Jackiw term. We focus on one-loop quantum corrections to the photon and Higgs sectors due to spontaneous breaking of gauge symmetry and show that new finite and definite Lorentz-breaking terms are induced. Specifically in the gauge sector, a CPT-even aether term is induced. Besides, aspects of the one-loop renormalization of the background vector dependent terms are discussed.

[ { "created": "Mon, 22 Apr 2013 16:57:53 GMT", "version": "v1" }, { "created": "Wed, 10 Jul 2013 18:52:51 GMT", "version": "v2" } ]

2013-07-11

[ [ "Brito", "L. C. T.", "" ], [ "Fargnoli", "H. G.", "" ], [ "Scarpelli", "A. P. Baêta", "" ] ]

We investigate new aspects related to the abelian gauge-Higgs model with the addition of the Carroll-Field-Jackiw term. We focus on one-loop quantum corrections to the photon and Higgs sectors due to spontaneous breaking of gauge symmetry and show that new finite and definite Lorentz-breaking terms are induced. Specifically in the gauge sector, a CPT-even aether term is induced. Besides, aspects of the one-loop renormalization of the background vector dependent terms are discussed.

12.827823

10.843592

14.044452

11.396238

11.353157

11.049237

10.8694

11.095459

10.943879

13.959572

10.578002

12.111189

12.53626

11.83487

12.363712

11.61666

11.830963

12.034098

11.793867

13.199753

11.619721

hep-th/9409120

null

T. A. Osborn and F. H. Molzahn

Moyal Quantum Mechanics: The Semiclassical Heisenberg Dynamics

50, MANIT-94-01

Annals Phys. 241 (1995) 79-127

10.1006/aphy.1995.1057

null

hep-th

null

The Moyal--Weyl description of quantum mechanics provides a comprehensive phase space representation of dynamics. The Weyl symbol image of the Heisenberg picture evolution operator is regular in $\hbar$. Its semiclassical expansion `coefficients,' acting on symbols that represent observables, are simple, globally defined differential operators constructed in terms of the classical flow. Two methods of constructing this expansion are discussed. The first introduces a cluster-graph expansion for the symbol of an exponentiated operator, which extends Groenewold's formula for the Weyl product of symbols. This Poisson bracket based cluster expansion determines the Jacobi equations for the semiclassical expansion of `quantum trajectories.' Their Green function solutions construct the regular $\hbar\downarrow0$ asymptotic series for the Heisenberg--Weyl evolution map. The second method directly substitutes such a series into the Moyal equation of motion and determines the $\hbar$ coefficients recursively. The Heisenberg--Weyl description of evolution involves no essential singularity in $\hbar$, no Hamilton--Jacobi equation to solve for the action, and no multiple trajectories, caustics or Maslov indices.

[ { "created": "Wed, 21 Sep 1994 03:08:31 GMT", "version": "v1" } ]

2015-06-26

[ [ "Osborn", "T. A.", "" ], [ "Molzahn", "F. H.", "" ] ]

The Moyal--Weyl description of quantum mechanics provides a comprehensive phase space representation of dynamics. The Weyl symbol image of the Heisenberg picture evolution operator is regular in $\hbar$. Its semiclassical expansion `coefficients,' acting on symbols that represent observables, are simple, globally defined differential operators constructed in terms of the classical flow. Two methods of constructing this expansion are discussed. The first introduces a cluster-graph expansion for the symbol of an exponentiated operator, which extends Groenewold's formula for the Weyl product of symbols. This Poisson bracket based cluster expansion determines the Jacobi equations for the semiclassical expansion of `quantum trajectories.' Their Green function solutions construct the regular $\hbar\downarrow0$ asymptotic series for the Heisenberg--Weyl evolution map. The second method directly substitutes such a series into the Moyal equation of motion and determines the $\hbar$ coefficients recursively. The Heisenberg--Weyl description of evolution involves no essential singularity in $\hbar$, no Hamilton--Jacobi equation to solve for the action, and no multiple trajectories, caustics or Maslov indices.

13.20069

15.640812

15.136838

13.702193

14.398634

14.781326

14.102873

15.210853

14.168308

14.98512

14.068095

12.493856

13.555233

12.802567

13.255651

12.647715

12.684524

12.917892

12.924882

13.620488

12.71787

2305.09451

Roland Bittleston

Roland Bittleston, Simon Heuveline and David Skinner

The Celestial Chiral Algebra of Self-Dual Gravity on Eguchi-Hanson Space

33 pages + 12 page appendix, 3 figures; v2: published in JHEP

JHEP 09 (2023) 008

10.1007/JHEP09(2023)008

null

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

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

We consider the twistor description of classical self-dual Einstein gravity in the presence of a defect operator wrapping a certain $\mathbb{CP}^1$. The backreaction of this defect deforms the flat twistor space to that of Eguchi-Hanson space. We show that the celestial chiral algebra of self-dual gravity on the Eguchi-Hanson background is likewise deformed to become the loop algebra of a certain scaling limit of the family of $W(\mu)$-algebras, where the scaling limit is controlled by the radius of the Eguchi-Hanson core. We construct this algebra by computing the Poisson algebra of holomorphic functions on the deformed twistor space, and check this result with a space-time calculation of the leading contribution to the gravitational splitting function. The loop algebra of a general $W(\mu)$-algebra (away from the scaling limit) similarly arises as the celestial chiral algebra of Moyal-deformed self-dual gravity on Eguchi-Hanson space. We also obtain corresponding results for self-dual Yang-Mills.

[ { "created": "Tue, 16 May 2023 14:13:46 GMT", "version": "v1" }, { "created": "Sat, 2 Sep 2023 13:12:51 GMT", "version": "v2" } ]

2023-09-06

[ [ "Bittleston", "Roland", "" ], [ "Heuveline", "Simon", "" ], [ "Skinner", "David", "" ] ]

We consider the twistor description of classical self-dual Einstein gravity in the presence of a defect operator wrapping a certain $\mathbb{CP}^1$. The backreaction of this defect deforms the flat twistor space to that of Eguchi-Hanson space. We show that the celestial chiral algebra of self-dual gravity on the Eguchi-Hanson background is likewise deformed to become the loop algebra of a certain scaling limit of the family of $W(\mu)$-algebras, where the scaling limit is controlled by the radius of the Eguchi-Hanson core. We construct this algebra by computing the Poisson algebra of holomorphic functions on the deformed twistor space, and check this result with a space-time calculation of the leading contribution to the gravitational splitting function. The loop algebra of a general $W(\mu)$-algebra (away from the scaling limit) similarly arises as the celestial chiral algebra of Moyal-deformed self-dual gravity on Eguchi-Hanson space. We also obtain corresponding results for self-dual Yang-Mills.

7.772061

7.518778

8.206385

6.872962

7.813103

7.191358

7.359842

7.189196

7.038614

9.001803

6.816364

7.361382

7.427977

7.077456

7.450433

7.410684

7.318279

7.178545

7.251747

7.699138

7.112085

2408.06791

Pawel Caputa

Pawel Caputa, Souradeep Purkayastha, Abhigyan Saha, Piotr Su{\l}kowski

Musings on SVD and pseudo entanglement entropies

52 pages, 20 figures

null

CALT-2024-029, YITP-24-97

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

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

Pseudo-entropy and SVD entropy are generalizations of the entanglement entropy that involve post-selection. In this work we analyze their properties as measures on the spaces of quantum states and argue that their excess provides useful characterization of a difference between two (i.e. pre-selected and post-selected) states, which shares certain features and in certain cases can be identified as a metric. In particular, when applied to link complement states that are associated to topological links via Chern-Simons theory, these generalized entropies and their excess provide a novel quantification of a difference between corresponding links. We discuss the dependence of such entropy measures on the level of Chern-Simons theory and determine their asymptotic values for certain link states. We find that imaginary part of the pseudo-entropy is sensitive to, and can diagnose chirality of knots. We also consider properties of these entropy measures for simpler quantum mechanical systems, such as generalized SU(2) and SU(1,1) coherent states, and tripartite GHZ and W states.

[ { "created": "Tue, 13 Aug 2024 10:23:52 GMT", "version": "v1" } ]

2024-08-14

[ [ "Caputa", "Pawel", "" ], [ "Purkayastha", "Souradeep", "" ], [ "Saha", "Abhigyan", "" ], [ "Sułkowski", "Piotr", "" ] ]

Pseudo-entropy and SVD entropy are generalizations of the entanglement entropy that involve post-selection. In this work we analyze their properties as measures on the spaces of quantum states and argue that their excess provides useful characterization of a difference between two (i.e. pre-selected and post-selected) states, which shares certain features and in certain cases can be identified as a metric. In particular, when applied to link complement states that are associated to topological links via Chern-Simons theory, these generalized entropies and their excess provide a novel quantification of a difference between corresponding links. We discuss the dependence of such entropy measures on the level of Chern-Simons theory and determine their asymptotic values for certain link states. We find that imaginary part of the pseudo-entropy is sensitive to, and can diagnose chirality of knots. We also consider properties of these entropy measures for simpler quantum mechanical systems, such as generalized SU(2) and SU(1,1) coherent states, and tripartite GHZ and W states.

12.731131

11.87586

13.615114

11.573482

12.121845

12.223356

12.197159

11.054718

10.292991

14.627549

11.947837

11.440379

12.468804

11.728806

11.657248

11.561672

11.663817

11.61053

11.579893

12.180287

12.180144

hep-th/0607007

Tom Banks

T. Banks

II_{\infty} Factors and M-theory in Asymptotically Flat Space-Time

JHEP LaTex, 20 pages

null

RU-06-08, SCIPP-06-07

hep-th

null

I discuss a formulation of M-theory at null infinity, which is based on general principles of holographic space-time, and is manifestly covariant. The construction utilizes a certain Type II Von Neumann algebra, which provides a kinematic framework, alternative to Fock Space, for describing the scattering states of eleven dimensional asymptotically flat M-theory. The construction provides a greatly clarified statement of the connection between SUSY and holography. I make preliminary remarks about dynamical equations for the S-matrix, and compactifications.

[ { "created": "Mon, 3 Jul 2006 19:18:45 GMT", "version": "v1" } ]

2007-05-23

[ [ "Banks", "T.", "" ] ]

I discuss a formulation of M-theory at null infinity, which is based on general principles of holographic space-time, and is manifestly covariant. The construction utilizes a certain Type II Von Neumann algebra, which provides a kinematic framework, alternative to Fock Space, for describing the scattering states of eleven dimensional asymptotically flat M-theory. The construction provides a greatly clarified statement of the connection between SUSY and holography. I make preliminary remarks about dynamical equations for the S-matrix, and compactifications.

18.325613

16.302986

18.759642

17.015892

17.457947

15.83835

17.591988

18.353287

16.228062

20.884424

15.859685

15.89821

17.354818

16.25182

15.851021

15.545316

15.408908

16.404219

16.539412

17.085062

15.891627

hep-th/9802157

Matteo Buzzacchi

She-Sheng Xue

Whether composite fermion states with ``wrong'' chiralities dissolve into cuts

24 pages, LaTex and 6 Feynman diagrams are not included

null

hep-th hep-lat hep-ph

null

In the possible scaling region for lattice chiral fermions advocated in hep-lat/9609037, no hard spontaneous symmetry breaking occurs and doublers are gauge-invariantly decoupled via mixing with composite three-fermion-states. However the strong coupling expansion breaks down due to no ``static limit'' for the low-energy limit ($p\sim 0$). We further analyze relevant Green functions of three-fermion-operators. It is shown that in the low-energy limit, the propagators of three-fermion-states with the ``wrong'' chiralities positively vanish due to the generalized form factors (the wave-function renormalizations) of these composite states vanishing as $O(p^4)$. This strongly implies that three-fermion-states with ``wrong'' chirality are ``decoupled'' in this limit.

[ { "created": "Mon, 23 Feb 1998 08:56:52 GMT", "version": "v1" } ]

2016-09-06

[ [ "Xue", "She-Sheng", "" ] ]

In the possible scaling region for lattice chiral fermions advocated in hep-lat/9609037, no hard spontaneous symmetry breaking occurs and doublers are gauge-invariantly decoupled via mixing with composite three-fermion-states. However the strong coupling expansion breaks down due to no ``static limit'' for the low-energy limit ($p\sim 0$). We further analyze relevant Green functions of three-fermion-operators. It is shown that in the low-energy limit, the propagators of three-fermion-states with the ``wrong'' chiralities positively vanish due to the generalized form factors (the wave-function renormalizations) of these composite states vanishing as $O(p^4)$. This strongly implies that three-fermion-states with ``wrong'' chirality are ``decoupled'' in this limit.

14.553076

14.63798

14.476734

13.304576

17.356871

14.704444

15.096504

14.245709

13.327314

14.801036

13.545454

13.633851

13.16932

13.407011

13.522676

13.618855

13.214495

13.569096

13.210841

13.707976

13.576402

1603.09183

Roldao da Rocha

R. J. Bueno Rogerio, J. M. Hoff da Silva, S. H. Pereira, Roldao da Rocha

A framework to a mass dimension one fermionic sigma model

6 pages, to appear in EPL

Europhysics Letters 113 (2016) 60001

10.1209/0295-5075/113/60001

null

hep-th gr-qc

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

In this paper a mass dimension one fermionic sigma model, realized by the eigenspinors of the charge conjugation operator with dual helicity (Elko spinors), is developed. Such spinors are chosen as a specific realization of mass dimension one spinors, wherein the non-commutative fermionic feature is ruled by torsion. Moreover, we analyse Elko spinors as a source of matter in a background in expansion. Moreover, we analyse Elko spinors as a source of matter in a background in expansion and we have found that such kind of mass dimension one fermions can serve not only as dark matter but they also induce an effective cosmological constant.

[ { "created": "Wed, 30 Mar 2016 13:32:11 GMT", "version": "v1" } ]

2016-04-06

[ [ "Rogerio", "R. J. Bueno", "" ], [ "da Silva", "J. M. Hoff", "" ], [ "Pereira", "S. H.", "" ], [ "da Rocha", "Roldao", "" ] ]

In this paper a mass dimension one fermionic sigma model, realized by the eigenspinors of the charge conjugation operator with dual helicity (Elko spinors), is developed. Such spinors are chosen as a specific realization of mass dimension one spinors, wherein the non-commutative fermionic feature is ruled by torsion. Moreover, we analyse Elko spinors as a source of matter in a background in expansion. Moreover, we analyse Elko spinors as a source of matter in a background in expansion and we have found that such kind of mass dimension one fermions can serve not only as dark matter but they also induce an effective cosmological constant.

11.660211

11.269265

11.059532

10.733311

10.828883

10.631875

11.088067

10.261867

10.626918

11.579491

10.955755

11.749198

11.811409

11.110875

10.693464

11.25279

11.027068

10.873599

11.240855

11.283877

11.52122

hep-th/9608020

Kazuo Gouroku

Kazuo Ghoroku

String loop correction and the condensation of tachyon in 2d gravity

13 pages, latex

null

FIT-HE-96-81

hep-th

null

Quantum theory of 2d gravity is examined by including a special quantum correction, which corresponds to the open string loop corrections and provides a new conformal anomaly for the corresponding $\sigma$ model. This anomaly leads to the condensation of the tachyon, and the resultant effective theory implies a possibility of extending the 2d gravity to the case of $c>1$.

[ { "created": "Mon, 5 Aug 1996 03:03:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ghoroku", "Kazuo", "" ] ]

Quantum theory of 2d gravity is examined by including a special quantum correction, which corresponds to the open string loop corrections and provides a new conformal anomaly for the corresponding $\sigma$ model. This anomaly leads to the condensation of the tachyon, and the resultant effective theory implies a possibility of extending the 2d gravity to the case of $c>1$.

15.286749

13.786596

14.643387

12.809254

12.154938

12.683193

12.701835

12.369075

13.064116

13.799483

12.755455

13.471915

13.774505

12.851605

13.272346

12.938031

13.407001

13.343325

13.175734

14.023787

13.073062

hep-th/9710121

Shahin S. Jabbari

M.M. Sheikh-Jabbari

Classification of Different Branes at Angles

Tex, 11 page, no figures

Phys.Lett.B420:279-284,1998

10.1016/S0370-2693(97)01550-5

IPM-97-247

hep-th

null

In this paper, we consider two D-branes rotated with respect to each other, and argue that in this way one can find brane configurations preserving ${1 \f 16}$ of SUSY. Also we classify different brane configurations preserving ${1 \f 2}$, ${1 \f 4}$, ${3 \f 16}$,${1 \f 8}$, ${1 \f 16}$ of SUSY.

[ { "created": "Wed, 15 Oct 1997 13:31:29 GMT", "version": "v1" } ]

2009-10-07

[ [ "Sheikh-Jabbari", "M. M.", "" ] ]

In this paper, we consider two D-branes rotated with respect to each other, and argue that in this way one can find brane configurations preserving ${1 \f 16}$ of SUSY. Also we classify different brane configurations preserving ${1 \f 2}$, ${1 \f 4}$, ${3 \f 16}$,${1 \f 8}$, ${1 \f 16}$ of SUSY.

6.594149

5.821845

6.487501

5.413968

5.419781

5.391132

5.8303

6.163966

5.432716

7.334363

5.218465

5.521993

5.941828

5.593618

5.630194

5.613656

5.463368

5.813092

5.208012

5.806189

5.369478

1405.4266

Ilarion Melnikov

Marco Bertolini, Ilarion V. Melnikov, and M. Ronen Plesser

Accidents in (0,2) Landau-Ginzburg theories

37 pages; expanded conformal perturbation theory discussion in v2; fixed an accident in section 3.5 in v3

null

10.1007/JHEP12(2014)157

MIFPA-14-17, NSF-KITP-14-043

hep-th

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

We study the role of accidental symmetries in two-dimensional (0,2) superconformal field theories obtained by RG flow from (0,2) Landau-Ginzburg theories. These accidental symmetries are ubiquitous, and, unlike in the case of (2,2) theories, their identification is key to correctly identifying the IR fixed point and its properties. We develop a number of tools that help to identify such accidental symmetries in the context of (0,2) Landau-Ginzburg models and provide a conjecture for a toric structure of the SCFT moduli space in a large class of models. We also give a self-contained discussion of aspects of (0,2) conformal perturbation theory.

[ { "created": "Fri, 16 May 2014 18:42:58 GMT", "version": "v1" }, { "created": "Mon, 6 Oct 2014 15:47:54 GMT", "version": "v2" }, { "created": "Thu, 23 Oct 2014 14:54:07 GMT", "version": "v3" } ]

2015-06-19

[ [ "Bertolini", "Marco", "" ], [ "Melnikov", "Ilarion V.", "" ], [ "Plesser", "M. Ronen", "" ] ]

We study the role of accidental symmetries in two-dimensional (0,2) superconformal field theories obtained by RG flow from (0,2) Landau-Ginzburg theories. These accidental symmetries are ubiquitous, and, unlike in the case of (2,2) theories, their identification is key to correctly identifying the IR fixed point and its properties. We develop a number of tools that help to identify such accidental symmetries in the context of (0,2) Landau-Ginzburg models and provide a conjecture for a toric structure of the SCFT moduli space in a large class of models. We also give a self-contained discussion of aspects of (0,2) conformal perturbation theory.

5.81266

5.38175

6.660847

5.404954

5.52604

5.614427

5.135389

5.21157

5.25373

6.731456

5.30465

5.215349

5.799037

5.376859

5.215555

5.153489

5.160813

5.094828

5.220509

5.858788

5.287015

hep-th/0208071

Kiwoon Choi

Kiwoon Choi and Ian-Woo Kim

One loop gauge couplings in AdS5

RevTeX, 22 pages, 2 figures, some typos corrected and notations changed

Phys.Rev. D67 (2003) 045005

10.1103/PhysRevD.67.045005

KAIST-TH 02/18

hep-th hep-ph

null

We calculate the full 1-loop corrections to the low energy coupling of bulk gauge boson in a slice of AdS5 which are induced by generic 5-dimensional scalar, Dirac fermion, and vector fields with arbitrary Z_2 times Z_2' orbifold boundary conditions. In supersymmetric limit, our results correctly reproduce the results obtained by an independent method based on 4-dimensional effective supergravity. This provides a nontrivial check of our results and assures the regularization scheme-independence of the results.

[ { "created": "Fri, 9 Aug 2002 13:26:24 GMT", "version": "v1" }, { "created": "Mon, 23 Sep 2002 15:06:18 GMT", "version": "v2" }, { "created": "Sat, 10 Jan 2004 03:49:24 GMT", "version": "v3" } ]

2009-11-07

[ [ "Choi", "Kiwoon", "" ], [ "Kim", "Ian-Woo", "" ] ]

We calculate the full 1-loop corrections to the low energy coupling of bulk gauge boson in a slice of AdS5 which are induced by generic 5-dimensional scalar, Dirac fermion, and vector fields with arbitrary Z_2 times Z_2' orbifold boundary conditions. In supersymmetric limit, our results correctly reproduce the results obtained by an independent method based on 4-dimensional effective supergravity. This provides a nontrivial check of our results and assures the regularization scheme-independence of the results.

9.813295

9.46535

8.417025

7.926211

9.519759

9.943215

9.210284

9.008883

8.698427

8.454083

8.700062

8.876202

9.046199

8.115643

8.949455

9.267738

8.774315

8.933543

8.159542

8.762894

8.696497

hep-th/0307286

Bindu Anubha Bambah

B. Bambah (1), C. Mukku (2) ((1) University of Hyderabad, Hyderabad, India, (2) Panjab University, Chandigarh, India)

Charged vs. Neutral particle creation in expanding Universes: A Quantum Field Theoretic Treatment

Presented by B. Bambah at the International Congress of Mathematical Physics, 2003 held in Lisbon, Portugal, July 2003

null

hep-th gr-qc

null

A complete quantum field theoretic study of charged and neutral particle creation in a rapidly/adiabatically expanding Friedman-Robertson-Walker metric for an O(4) scalar field theory with quartic interactions (admitting a phase transition) is given. Quantization is carried out by inclusion of quantum fluctuations. We show that the quantized Hamiltonian admits an su(1,1) invariance. The squeezing transformation diagonalizes the Hamiltonian and shows that the dynamical states are squeezed states. Allowing for different forms of the expansion parameter, we show how the neutral and charged particle production rates change as the expansion is rapid or adiabatic. The effects of the expansion rate versus the symmetry restoration rate on the squeezing parameter is shown.

[ { "created": "Wed, 30 Jul 2003 04:40:54 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bambah", "B.", "" ], [ "Mukku", "C.", "" ] ]

A complete quantum field theoretic study of charged and neutral particle creation in a rapidly/adiabatically expanding Friedman-Robertson-Walker metric for an O(4) scalar field theory with quartic interactions (admitting a phase transition) is given. Quantization is carried out by inclusion of quantum fluctuations. We show that the quantized Hamiltonian admits an su(1,1) invariance. The squeezing transformation diagonalizes the Hamiltonian and shows that the dynamical states are squeezed states. Allowing for different forms of the expansion parameter, we show how the neutral and charged particle production rates change as the expansion is rapid or adiabatic. The effects of the expansion rate versus the symmetry restoration rate on the squeezing parameter is shown.

11.582359

11.452703

10.091896

9.948119

10.493809

11.11349

11.410102

10.452325

10.879521

10.837179

10.686188

10.638627

10.093535

10.128079

10.595563

10.840004

10.63345

10.712738

10.465132

10.571233

10.465665

1108.3771

Papantonopoulos Eleftherios

Bertha Cuadros-Melgar, Eleftherios Papantonopoulos, Minas Tsoukalas and Vassilios Zamarias

Massive Gravity with Anisotropic Scaling

16 pages, 4 figures, change of title, discussion on the effect of Lorentz violating mass terms is added. To appear in PRD. arXiv admin note: text overlap with arXiv:0911.1299

Phys. Rev. D85, 124035 (2012)

10.1103/PhysRevD.85.124035

null

hep-th gr-qc

http://creativecommons.org/licenses/by-nc-sa/3.0/

We study a massive gravity theory which is Lorentz violating all the way from ultraviolet to infrared energy scales. At short distances the theory breaks diffeomorphism invariance and time and space scale differently. Dynamical metric fields are introduced which upon linearization over a Minkowski background correspond to Lorentz violating mass terms at large distances. We perform a scalar perturbation analysis and we show that with an appropriate choice of parameters the theory is healthy without ghosts, tachyons, strong coupling problems and instabilities

[ { "created": "Thu, 18 Aug 2011 14:52:32 GMT", "version": "v1" }, { "created": "Fri, 18 May 2012 12:02:32 GMT", "version": "v2" } ]

2012-07-13

[ [ "Cuadros-Melgar", "Bertha", "" ], [ "Papantonopoulos", "Eleftherios", "" ], [ "Tsoukalas", "Minas", "" ], [ "Zamarias", "Vassilios", "" ] ]

We study a massive gravity theory which is Lorentz violating all the way from ultraviolet to infrared energy scales. At short distances the theory breaks diffeomorphism invariance and time and space scale differently. Dynamical metric fields are introduced which upon linearization over a Minkowski background correspond to Lorentz violating mass terms at large distances. We perform a scalar perturbation analysis and we show that with an appropriate choice of parameters the theory is healthy without ghosts, tachyons, strong coupling problems and instabilities

10.268394

9.75012

8.804609

9.416431

10.074597

10.299572

10.216794

9.362748

9.434504

9.812914

9.336082

10.135038

9.358751

9.536513

9.450427

9.746415

9.66971

9.566808

9.470057

9.801195

9.540795

hep-th/0405018

Charles B. Thorn

Renormalization of Quantum Fields on the Lightcone Worldsheet I: Scalar Fields

18 pages, 3 figures

Nucl.Phys. B699 (2004) 427-452

10.1016/j.nuclphysb.2004.08.028

null

hep-th

null

We show that the lightcone worldsheet formalism, constructed to represent the sum of the bare planar diagrams of scalar \phi^3 field theory, survives the renormalization procedure in space-time dimensions D not greater than 6. Specifically this means that all the counter-terms, necessary to produce a successful renormalized perturbation expansion to all orders, can be represented as local terms in the lightcone worldsheet action. Because the worldsheet regulator breaks Lorentz invariance, we find the need for two non-covariant counter-terms, in addition to the usual mass, coupling and wave function renormalization. One of these can be simply interpreted as a rescaling of transverse coordinates with respect to longitudinal coordinates. The second one introduces couplings between the matter and ghost worldsheet fields on the boundaries.

[ { "created": "Mon, 3 May 2004 19:07:18 GMT", "version": "v1" } ]

2009-11-10

[ [ "Thorn", "Charles B.", "" ] ]

We show that the lightcone worldsheet formalism, constructed to represent the sum of the bare planar diagrams of scalar \phi^3 field theory, survives the renormalization procedure in space-time dimensions D not greater than 6. Specifically this means that all the counter-terms, necessary to produce a successful renormalized perturbation expansion to all orders, can be represented as local terms in the lightcone worldsheet action. Because the worldsheet regulator breaks Lorentz invariance, we find the need for two non-covariant counter-terms, in addition to the usual mass, coupling and wave function renormalization. One of these can be simply interpreted as a rescaling of transverse coordinates with respect to longitudinal coordinates. The second one introduces couplings between the matter and ghost worldsheet fields on the boundaries.

8.668943

8.429306

9.867319

8.088407

8.571173

8.088418

8.405644

7.991775

8.179029

9.595537

7.934245

8.574399

8.751015

8.452089

8.451321

8.302279

8.367976

8.571707

8.696755

8.951524

8.32999

hep-th/0512037

Mahdi Torabian

M. Ali-Akbari, M. M. Sheikh-Jabbari, M. Torabian

Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory

27 pages, LaTeX

JHEP 0603:065,2006

10.1088/1126-6708/2006/03/065

IPM/P-2005/080

hep-th

null

In this paper we consider all consistent extensions of the AdS_5 x S^5 superalgebra, psu(2,2|4), to incorporate brane charges by introducing both bosonic and fermionic (non)central extensions. We study the Inonu-Wigner contraction of the extended psu(2,2|4) under the Penrose limit to obtain the most general consistent extension of the plane-wave superalgebra and compare these extensions with the possible BPS (flat or spherical) brane configurations in the plane-wave background. We give an explicit realization of some of these extensions in terms of the Tiny Graviton Matrix Theory (TGMT)[hep-th/0406214] which is the 0+1 dimensional gauge theory conjectured to describe the DLCQ of strings on the AdS_5 x S^5 and/or the plane-wave background.

[ { "created": "Sun, 4 Dec 2005 16:32:02 GMT", "version": "v1" }, { "created": "Thu, 8 Dec 2005 15:22:55 GMT", "version": "v2" }, { "created": "Sat, 24 Dec 2005 11:30:05 GMT", "version": "v3" } ]

2009-11-11

[ [ "Ali-Akbari", "M.", "" ], [ "Sheikh-Jabbari", "M. M.", "" ], [ "Torabian", "M.", "" ] ]

In this paper we consider all consistent extensions of the AdS_5 x S^5 superalgebra, psu(2,2|4), to incorporate brane charges by introducing both bosonic and fermionic (non)central extensions. We study the Inonu-Wigner contraction of the extended psu(2,2|4) under the Penrose limit to obtain the most general consistent extension of the plane-wave superalgebra and compare these extensions with the possible BPS (flat or spherical) brane configurations in the plane-wave background. We give an explicit realization of some of these extensions in terms of the Tiny Graviton Matrix Theory (TGMT)[hep-th/0406214] which is the 0+1 dimensional gauge theory conjectured to describe the DLCQ of strings on the AdS_5 x S^5 and/or the plane-wave background.

7.599581

6.681377

9.41074

6.527012

7.43479

6.84439

6.876698

6.633163

6.135808

9.389688

6.469432

6.944211

7.620777

6.793029

6.911248

7.061771

6.867427

6.804729

7.059381

7.334775

6.838296

hep-th/0608199

Saharian

E.R. Bezerra de Mello, A.A. Saharian

Vacuum polarization by a composite topological defect

11 pages, 2 figures

Phys.Lett.B642:129-136,2006

10.1016/j.physletb.2006.09.014

null

hep-th gr-qc quant-ph

null

In this paper we analyze one-loop quantum effects of a scalar field induced by a composite topological defect consisting a cosmic string on a p-dimensional brane and a (m+1)-dimensional global monopole in the transverse extra dimensions. The corresponding Green function is presented as a sum of two terms. The first one corresponds to the bulk where the cosmic string is absent and the second one is induced by the presence of the string. For the points away from the cores of the topological defects the latter is finite in the coincidence limit and is used for the evaluation of the vacuum expectation values of the field square and energy-momentum tensor.

[ { "created": "Mon, 28 Aug 2006 12:30:26 GMT", "version": "v1" } ]

2008-11-26

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

In this paper we analyze one-loop quantum effects of a scalar field induced by a composite topological defect consisting a cosmic string on a p-dimensional brane and a (m+1)-dimensional global monopole in the transverse extra dimensions. The corresponding Green function is presented as a sum of two terms. The first one corresponds to the bulk where the cosmic string is absent and the second one is induced by the presence of the string. For the points away from the cores of the topological defects the latter is finite in the coincidence limit and is used for the evaluation of the vacuum expectation values of the field square and energy-momentum tensor.

8.043823

4.856333

8.065298

6.467927

5.979892

5.595441

5.694668

6.170407

6.142868

9.144361

6.010631

6.164742

7.62809

6.812711

6.889689

6.41358

6.530711

6.971577

6.847705

8.30988

6.960555

1512.01226

Anirbit

Anirbit Mukherjee

Renyi entropy of the critical O(N) model

20 pages

null

hep-th

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

In this article we explore a certain definition of "alternate quantization" for the critical O(N) model. We elaborate on a prescription to evaluate the Renyi entropy of alternately quantized critical O(N) model. We show that there exists new saddles of the q-Renyi free energy functional corresponding to putting certain combinations of the Kaluza-Klein modes into alternate quantization. This leads us to an analysis of trying to determine the true state of the theory by trying to ascertain the global minima among these saddle points.

[ { "created": "Thu, 3 Dec 2015 20:56:16 GMT", "version": "v1" } ]

2015-12-04

[ [ "Mukherjee", "Anirbit", "" ] ]

In this article we explore a certain definition of "alternate quantization" for the critical O(N) model. We elaborate on a prescription to evaluate the Renyi entropy of alternately quantized critical O(N) model. We show that there exists new saddles of the q-Renyi free energy functional corresponding to putting certain combinations of the Kaluza-Klein modes into alternate quantization. This leads us to an analysis of trying to determine the true state of the theory by trying to ascertain the global minima among these saddle points.

18.806282

17.243126

17.755369

14.965173

15.634638

15.385204

16.686394

16.616718

17.033146

17.598763

15.68408

15.593442

17.260878

15.999036

15.372496

15.738256

15.972451

16.030069

15.805249

17.335358

16.547132

1803.08985

P Klimas

L.A. Ferreira, P. Klimas, A. Wereszczynski and W.J. Zakrzewski

Some Comments on BPS systems

27 pages, 17 figures

null

10.1088/1751-8121/ab2ae6

null

hep-th nlin.SI

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

We look at simple BPS systems involving more than one field. We discuss the conditions that have to be imposed on various terms in Lagrangians involving many fields to produce BPS systems and then look in more detail at the simplest of such cases. We analyse in detail BPS systems involving 2 interacting Sine-Gordon like fields, both when one of them has a kink solution and the second one either a kink or an antikink solution. We take their solitonic static solutions and use them as initial conditions for their evolution in Lorentz covariant versions of such models. We send these structures towards themselves and find that when they interact weakly they can pass through each other with a phase shift which is related to the strength of their interaction. When they interact strongly they repel and reflect on each other. We use the method of a modified gradient flow in order to visualize the solutions in the space of fields.

[ { "created": "Fri, 23 Mar 2018 21:29:19 GMT", "version": "v1" }, { "created": "Wed, 23 Jan 2019 14:07:30 GMT", "version": "v2" } ]

2019-09-04

[ [ "Ferreira", "L. A.", "" ], [ "Klimas", "P.", "" ], [ "Wereszczynski", "A.", "" ], [ "Zakrzewski", "W. J.", "" ] ]

We look at simple BPS systems involving more than one field. We discuss the conditions that have to be imposed on various terms in Lagrangians involving many fields to produce BPS systems and then look in more detail at the simplest of such cases. We analyse in detail BPS systems involving 2 interacting Sine-Gordon like fields, both when one of them has a kink solution and the second one either a kink or an antikink solution. We take their solitonic static solutions and use them as initial conditions for their evolution in Lorentz covariant versions of such models. We send these structures towards themselves and find that when they interact weakly they can pass through each other with a phase shift which is related to the strength of their interaction. When they interact strongly they repel and reflect on each other. We use the method of a modified gradient flow in order to visualize the solutions in the space of fields.

10.512268

9.392998

11.067654

9.876859

9.334684

9.456115

9.941213

9.780706

9.094213

11.578656

9.479872

9.590106

10.276316

9.939734

9.811623

9.720508

9.806316

9.762726

10.220548

10.140824

9.603523

2302.08569

Giovanni Amelino-Camelia

Giovanni Amelino-Camelia, Giuseppe Fabiano, Domenico Frattulillo

Total momentum and other Noether charges for particles interacting in a quantum spacetime

9 pages, Latex

null

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

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

There has been strong interest in the fate of relativistic symmetries in some quantum spacetimes, also because of its possible relevance for high-precision experimental tests of relativistic properties. However, the main technical results obtained so far concern the description of suitably deformed relativistic-symmetry transformation rules, whereas the properties of the associated Noether charges, which are crucial for the phenomenology, are still poorly understood. We here tackle this problem focusing on first-quantized particles described within a Hamiltonian framework and using as toy model the so-called ``spatial kappa-Minkowski noncommutative spacetime'', where all the relevant conceptual challenges are present but, as here shown, in technically manageable fashion. We derive the Noether charges, including the much-debated total-momentum charges, and we expose a strong link between the properties of these Noether charges and the structure of the laws of interaction among particles.

[ { "created": "Thu, 16 Feb 2023 20:30:48 GMT", "version": "v1" } ]

2023-02-20

[ [ "Amelino-Camelia", "Giovanni", "" ], [ "Fabiano", "Giuseppe", "" ], [ "Frattulillo", "Domenico", "" ] ]

There has been strong interest in the fate of relativistic symmetries in some quantum spacetimes, also because of its possible relevance for high-precision experimental tests of relativistic properties. However, the main technical results obtained so far concern the description of suitably deformed relativistic-symmetry transformation rules, whereas the properties of the associated Noether charges, which are crucial for the phenomenology, are still poorly understood. We here tackle this problem focusing on first-quantized particles described within a Hamiltonian framework and using as toy model the so-called ``spatial kappa-Minkowski noncommutative spacetime'', where all the relevant conceptual challenges are present but, as here shown, in technically manageable fashion. We derive the Noether charges, including the much-debated total-momentum charges, and we expose a strong link between the properties of these Noether charges and the structure of the laws of interaction among particles.

13.66134

13.831905

14.341905

12.837166

14.100301

13.383109

14.006673

12.507182

12.772697

14.678596

12.691602

13.075917

12.736845

12.656797

12.622296

12.870343

12.845821

12.549041

12.525832

12.940022

13.105306