LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/0505020

Qing-Guo Huang

Qing-Guo Huang, Ke Ke and Miao Li

One conjecture and two observations on de Sitter space

12 pages, harvmac; references added; version for publication in JHEP

JHEP0602:045,2006

10.1088/1126-6708/2006/02/045

null

hep-th

null

We propose that the state represented by the Nariai black hole inside de Sitter space is the ground state of the de Sitter gravity, while the pure de Sitter space is the maximal energy state. With this point of view, we investigate thermodynamics of de Sitter space, we find that if there is a dual field theory, this theory can not be a CFT in a fixed dimension. Near the Nariai limit, we conjecture that the dual theory is effectively an 1+1 CFT living on the radial segment connecting the cosmic horizon and the black hole horizon. If we go beyond the de Sitter limit, the "imaginary" high temperature phase can be described by a CFT with one dimension lower than the spacetime dimension. Below the de Sitter limit, we are approaching a phase similar to the Hagedorn phase in 2+1 dimensions, the latter is also a maximal energy phase if we hold the volume fixed.

[ { "created": "Tue, 3 May 2005 08:25:34 GMT", "version": "v1" }, { "created": "Mon, 9 May 2005 08:38:59 GMT", "version": "v2" }, { "created": "Thu, 3 Nov 2005 02:39:54 GMT", "version": "v3" }, { "created": "Fri, 17 Feb 2006 09:33:52 GMT", "version": "v4" }, { "created": "Mon, 24 Apr 2006 03:23:44 GMT", "version": "v5" } ]

2009-11-11

[ [ "Huang", "Qing-Guo", "" ], [ "Ke", "Ke", "" ], [ "Li", "Miao", "" ] ]

We propose that the state represented by the Nariai black hole inside de Sitter space is the ground state of the de Sitter gravity, while the pure de Sitter space is the maximal energy state. With this point of view, we investigate thermodynamics of de Sitter space, we find that if there is a dual field theory, this theory can not be a CFT in a fixed dimension. Near the Nariai limit, we conjecture that the dual theory is effectively an 1+1 CFT living on the radial segment connecting the cosmic horizon and the black hole horizon. If we go beyond the de Sitter limit, the "imaginary" high temperature phase can be described by a CFT with one dimension lower than the spacetime dimension. Below the de Sitter limit, we are approaching a phase similar to the Hagedorn phase in 2+1 dimensions, the latter is also a maximal energy phase if we hold the volume fixed.

9.039042

9.204991

8.989501

8.648421

9.260368

8.629858

8.719028

8.637793

8.445702

9.747686

8.534072

8.407013

8.430593

8.363959

8.472119

8.497179

8.429735

8.515331

8.536137

8.443003

8.345874

0905.0709

Neil Turok

Ben Craps, Thomas Hertog, Neil Turok

A multitrace deformation of ABJM theory

14 pages, 4 figures; v3. Clarification of precise relation to $O(N)\times O(N)$ model and other minor comments added

Phys.Rev.D80:086007,2009

10.1103/PhysRevD.80.086007

null

hep-th

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

Motivated by the study of big crunch singularities in asymptotically $AdS_4$ spacetimes, we consider a marginal triple trace deformation of ABJM theory. The deformation corresponds to adding a potential which is unbounded below. In a 't Hooft large N limit, the beta function for the triple trace deformation vanishes, which is consistent with the near-boundary behavior of the bulk fields. At the next order in the 1/N expansion, the triple trace couplings exhibit non-trivial running, which we analyze explicitly in the limit of zero 't Hooft coupling, in which the model reduces to an $O(N)\times O(N)$ vector model with large N. In this limit, we establish the existence of a perturbative UV fixed point, and we comment on possible non-perturbative effects. We also show that the bulk analysis leading to big crunch singularities extends to the $\Zbar_k$ orbifold models dual to ABJM theory.

[ { "created": "Tue, 5 May 2009 21:34:47 GMT", "version": "v1" }, { "created": "Fri, 10 Jul 2009 22:19:41 GMT", "version": "v2" }, { "created": "Sun, 13 Sep 2009 22:26:11 GMT", "version": "v3" } ]

2009-10-29

[ [ "Craps", "Ben", "" ], [ "Hertog", "Thomas", "" ], [ "Turok", "Neil", "" ] ]

Motivated by the study of big crunch singularities in asymptotically $AdS_4$ spacetimes, we consider a marginal triple trace deformation of ABJM theory. The deformation corresponds to adding a potential which is unbounded below. In a 't Hooft large N limit, the beta function for the triple trace deformation vanishes, which is consistent with the near-boundary behavior of the bulk fields. At the next order in the 1/N expansion, the triple trace couplings exhibit non-trivial running, which we analyze explicitly in the limit of zero 't Hooft coupling, in which the model reduces to an $O(N)\times O(N)$ vector model with large N. In this limit, we establish the existence of a perturbative UV fixed point, and we comment on possible non-perturbative effects. We also show that the bulk analysis leading to big crunch singularities extends to the $\Zbar_k$ orbifold models dual to ABJM theory.

7.033259

7.270418

7.458125

6.806034

6.474049

6.6121

6.885638

6.626944

6.602083

8.425963

6.66403

6.962189

7.093576

6.667788

6.577057

6.656158

6.652555

6.464314

6.742367

7.132807

6.663081

2003.13700

Jeffrey Harvey

Jeffrey A. Harvey and Gregory W. Moore

Moonshine, Superconformal Symmetry, and Quantum Error Correction

only 53 pages

null

10.1007/JHEP05(2020)146

null

hep-th math.RT

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

Special conformal field theories can have symmetry groups which are interesting sporadic finite simple groups. Famous examples include the Monster symmetry group of a $c=24$ two-dimensional conformal field theory (CFT) constructed by Frenkel, Lepowsky and Meurman, and the Conway symmetry group of a $c=12$ CFT explored in detail by Duncan and Mack-Crane. The Mathieu moonshine connection between the K3 elliptic genus and the Mathieu group $M_{24}$ has led to the study of K3 sigma models with large symmetry groups. A particular K3 CFT with a maximal symmetry group preserving $(4,4)$ superconformal symmetry was studied in beautiful work by Gaberdiel, Taormina, Volpato, and Wendland. The present paper shows that in both the GTVW and $c=12$ theories the construction of superconformal generators can be understood via the theory of quantum error correcting codes. The automorphism groups of these codes lift to symmetry groups in the CFT preserving the superconformal generators. In the case of the $N=1$ supercurrent of the GTVW model our result, combined with a result of T. Johnson-Freyd implies the symmetry group is the maximal subgroup of $M_{24}$ known as the sextet group. (The sextet group is also known as the holomorph of the hexacode.) Building on \cite{gtvw} the Ramond-Ramond sector of the GTVW model is related to the Miracle Octad Generator which in turn leads to a role for the Golay code as a group of symmetries of RR states. Moreover, $(4,1)$ superconformal symmetry suffices to define and decompose the elliptic genus of a K3 sigma model into characters of the $N=4$ superconformal algebra. The symmetry group preserving $(4,1)$ is larger than that preserving $(4,4)$.

[ { "created": "Mon, 30 Mar 2020 18:00:02 GMT", "version": "v1" } ]

2020-06-24

[ [ "Harvey", "Jeffrey A.", "" ], [ "Moore", "Gregory W.", "" ] ]

Special conformal field theories can have symmetry groups which are interesting sporadic finite simple groups. Famous examples include the Monster symmetry group of a $c=24$ two-dimensional conformal field theory (CFT) constructed by Frenkel, Lepowsky and Meurman, and the Conway symmetry group of a $c=12$ CFT explored in detail by Duncan and Mack-Crane. The Mathieu moonshine connection between the K3 elliptic genus and the Mathieu group $M_{24}$ has led to the study of K3 sigma models with large symmetry groups. A particular K3 CFT with a maximal symmetry group preserving $(4,4)$ superconformal symmetry was studied in beautiful work by Gaberdiel, Taormina, Volpato, and Wendland. The present paper shows that in both the GTVW and $c=12$ theories the construction of superconformal generators can be understood via the theory of quantum error correcting codes. The automorphism groups of these codes lift to symmetry groups in the CFT preserving the superconformal generators. In the case of the $N=1$ supercurrent of the GTVW model our result, combined with a result of T. Johnson-Freyd implies the symmetry group is the maximal subgroup of $M_{24}$ known as the sextet group. (The sextet group is also known as the holomorph of the hexacode.) Building on \cite{gtvw} the Ramond-Ramond sector of the GTVW model is related to the Miracle Octad Generator which in turn leads to a role for the Golay code as a group of symmetries of RR states. Moreover, $(4,1)$ superconformal symmetry suffices to define and decompose the elliptic genus of a K3 sigma model into characters of the $N=4$ superconformal algebra. The symmetry group preserving $(4,1)$ is larger than that preserving $(4,4)$.

6.422597

7.520758

8.329735

6.859862

8.281477

8.115987

7.746806

7.276021

7.031992

8.851378

7.315851

6.458265

6.923825

6.445853

6.571877

6.520325

6.569206

6.407964

6.478483

6.703895

6.436538

1110.6494

Jos\'e Alejandro Rosabal Rodr\'iguez

Jos\'e A. Rosabal

Coleman de Luccia geometry reconsidered and ADS/CFT

10 pages, minor corrections made

null

hep-th gr-qc

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

We reconsidered the Coleman de Luccia solution building an AdS4 bubble expanding into a false flat vacuum. In this construction when junction conditions are imposed we find an upper bound to the radius of the AdS4 and a domain wall whose tension is a function of the minimum of the scalar potential. We prove that this solution is exactly the solution found by Coleman and de Luccia, but in addition there is a new condition that restricts the AdS4 radius and a precise relation between the tension and the minimum of the scalar potential. The applicability of the ADS/CFT correspondence is discussed.

[ { "created": "Sat, 29 Oct 2011 02:49:29 GMT", "version": "v1" }, { "created": "Fri, 11 Nov 2011 00:00:51 GMT", "version": "v2" } ]

2011-11-14

[ [ "Rosabal", "José A.", "" ] ]

We reconsidered the Coleman de Luccia solution building an AdS4 bubble expanding into a false flat vacuum. In this construction when junction conditions are imposed we find an upper bound to the radius of the AdS4 and a domain wall whose tension is a function of the minimum of the scalar potential. We prove that this solution is exactly the solution found by Coleman and de Luccia, but in addition there is a new condition that restricts the AdS4 radius and a precise relation between the tension and the minimum of the scalar potential. The applicability of the ADS/CFT correspondence is discussed.

13.5637

11.101666

11.407243

10.856919

12.079366

11.155178

11.509162

11.381977

11.454333

12.33934

11.335097

11.081608

11.613873

11.445281

11.428986

11.244522

11.580368

11.365287

11.17614

11.458283

11.085962

2308.03848

Alessandro Pini

Alessandro Pini, Paolo Vallarino

Wilson loop correlators at strong coupling in $\mathcal{N}=2$ quiver gauge theories

null

JHEP 11 (2023) 003

10.1007/JHEP11(2023)003

null

hep-th

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

We consider 4-dimensional $\mathcal{N} = 2$ superconformal quiver theories with $SU(N)^M$ gauge group and bi-fundamental matter and we evaluate correlation functions of $n$ coincident Wilson loops in the planar limit of the theory. Exploiting specific untwisted/twisted combinations of these operators and using supersymmetric localization, we are able to resum the whole perturbative expansion and find exact expressions for these correlators that are valid for all values of the 't Hooft coupling. Moreover, we analytically derive the leading strong coupling behaviour of the correlators, showing that they obey a remarkable simple rule. Our analysis is complemented by numerical checks based on a Pad\'e resummation of the perturbative series.

[ { "created": "Mon, 7 Aug 2023 18:01:09 GMT", "version": "v1" }, { "created": "Tue, 7 Nov 2023 12:41:08 GMT", "version": "v2" }, { "created": "Tue, 5 Dec 2023 13:01:07 GMT", "version": "v3" } ]

2023-12-06

[ [ "Pini", "Alessandro", "" ], [ "Vallarino", "Paolo", "" ] ]

We consider 4-dimensional $\mathcal{N} = 2$ superconformal quiver theories with $SU(N)^M$ gauge group and bi-fundamental matter and we evaluate correlation functions of $n$ coincident Wilson loops in the planar limit of the theory. Exploiting specific untwisted/twisted combinations of these operators and using supersymmetric localization, we are able to resum the whole perturbative expansion and find exact expressions for these correlators that are valid for all values of the 't Hooft coupling. Moreover, we analytically derive the leading strong coupling behaviour of the correlators, showing that they obey a remarkable simple rule. Our analysis is complemented by numerical checks based on a Pad\'e resummation of the perturbative series.

6.582957

6.089017

6.855031

5.959291

5.824553

5.893894

5.958513

5.929521

5.854313

7.210634

6.000732

6.171215

6.415693

6.086003

6.13996

6.080117

5.972023

6.145521

6.096674

6.290421

5.936533

1111.6567

Phillip Szepietowski

Nick Halmagyi, James T. Liu and Phillip Szepietowski

On N = 2 Truncations of IIB on T^{1,1}

32 pages, v2:references added

null

10.1007/JHEP07(2012)098

MCTP-11-41

hep-th

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

We study the N=4 gauged supergravity theory which arises from the consistent truncation of IIB supergravity on the coset T^{1,1}. We analyze three N=2 subsectors and in particular we clarify the relationship between true superpotentials for gauged supergravity and certain fake superpotentials which have been widely used in the literature. We derive a superpotential for the general reduction of type I supergravity on T^{1,1} and this together with a certain solution generating symmetry is tantamount to a superpotential for the baryonic branch of the Klebanov-Strassler solution.

[ { "created": "Mon, 28 Nov 2011 19:57:11 GMT", "version": "v1" }, { "created": "Sat, 10 Mar 2012 16:49:43 GMT", "version": "v2" } ]

2015-06-03

[ [ "Halmagyi", "Nick", "" ], [ "Liu", "James T.", "" ], [ "Szepietowski", "Phillip", "" ] ]

We study the N=4 gauged supergravity theory which arises from the consistent truncation of IIB supergravity on the coset T^{1,1}. We analyze three N=2 subsectors and in particular we clarify the relationship between true superpotentials for gauged supergravity and certain fake superpotentials which have been widely used in the literature. We derive a superpotential for the general reduction of type I supergravity on T^{1,1} and this together with a certain solution generating symmetry is tantamount to a superpotential for the baryonic branch of the Klebanov-Strassler solution.

7.702097

7.967911

8.763659

7.208633

8.137011

7.687896

7.781054

7.060117

6.97181

9.282048

7.532483

7.734911

7.920488

7.553697

7.500578

7.713199

7.283089

7.591986

7.336134

7.953653

7.4248

1711.08370

Rudnei O. Ramos

Robert Brandenberger, Qiuyue Liang, Rudnei O. Ramos and Siyi Zhou

Fluctuations through a Vibrating Bounce

17 pages, 5 figures

Phys. Rev. D 97, 043504 (2018)

10.1103/PhysRevD.97.043504

null

hep-th astro-ph.CO gr-qc

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

We study the evolution of cosmological perturbations in a non-singular bouncing cosmology with a bounce phase which has superimposed oscillations of the scale factor. We identify length scales for which the final spectrum of fluctuations obtains imprints of the non-trivial bounce dynamics. These imprints in the spectrum are manifested in the form of damped oscillation features at scales smaller than a characteristic value and an increased reddening of the spectrum at all the scales as the number of small bounces increases.

[ { "created": "Wed, 22 Nov 2017 16:21:28 GMT", "version": "v1" } ]

2018-02-14

[ [ "Brandenberger", "Robert", "" ], [ "Liang", "Qiuyue", "" ], [ "Ramos", "Rudnei O.", "" ], [ "Zhou", "Siyi", "" ] ]

We study the evolution of cosmological perturbations in a non-singular bouncing cosmology with a bounce phase which has superimposed oscillations of the scale factor. We identify length scales for which the final spectrum of fluctuations obtains imprints of the non-trivial bounce dynamics. These imprints in the spectrum are manifested in the form of damped oscillation features at scales smaller than a characteristic value and an increased reddening of the spectrum at all the scales as the number of small bounces increases.

12.409031

12.799713

11.747632

11.324509

12.280727

12.978003

11.477824

11.995592

12.694534

13.016052

12.703366

11.519312

12.126892

12.519668

12.066166

11.839061

12.186503

11.532444

12.090355

12.094291

11.760768

1401.2409

Pietro Menotti

On the monodromy problem for the four-punctured sphere

14 pages LaTeX, 1 figure. Notation improved; Sec.4 extended to include the complete second order computation

null

10.1088/1751-8113/47/41/415201

IFUP-TH/2014-1

hep-th

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

We consider the monodromy problem for the four-punctured sphere in which the character of one composite monodromy is fixed, by looking at the expansion of the accessory parameter in the modulus $x$ directly, without taking the limit of the quantum conformal blocks for infinite central charge. The integrals which appear in the expansion of the Volterra equation, involve products of two hypergeometric functions to first order and up to four hypergeometric functions to second order. It is shown that all such integrals can be computed analytically. We give the complete analytical evaluation of the accessory parameter to first and second order in the modulus. The results agree with the evaluation obtained by assuming the exponentiation hypothesis of the quantum conformal blocks in the limit of infinite central charge. Extension to higher orders is discussed.

[ { "created": "Fri, 10 Jan 2014 17:34:09 GMT", "version": "v1" }, { "created": "Thu, 23 Jan 2014 09:04:25 GMT", "version": "v2" }, { "created": "Sun, 6 Apr 2014 14:33:09 GMT", "version": "v3" } ]

2015-06-18

[ [ "Menotti", "Pietro", "" ] ]

We consider the monodromy problem for the four-punctured sphere in which the character of one composite monodromy is fixed, by looking at the expansion of the accessory parameter in the modulus $x$ directly, without taking the limit of the quantum conformal blocks for infinite central charge. The integrals which appear in the expansion of the Volterra equation, involve products of two hypergeometric functions to first order and up to four hypergeometric functions to second order. It is shown that all such integrals can be computed analytically. We give the complete analytical evaluation of the accessory parameter to first and second order in the modulus. The results agree with the evaluation obtained by assuming the exponentiation hypothesis of the quantum conformal blocks in the limit of infinite central charge. Extension to higher orders is discussed.

9.340147

10.136661

10.038403

9.081758

9.39029

10.175472

9.17453

9.155899

8.657493

11.268501

8.783244

9.216413

9.130978

9.434197

9.403289

9.309509

9.637298

8.853174

9.019163

9.046125

9.064416

0801.3583

Bibhas Majhi Ranjan

Rabin Banerjee, Bibhas Ranjan Majhi and Saurav Samanta

Noncommutative Black Hole Thermodynamics

LaTex, 17 pages, 2 figures, minor changes, references added, to appear in Phys. Rev. D

Phys.Rev.D77:124035,2008

10.1103/PhysRevD.77.124035

null

hep-th gr-qc

null

We give a general derivation, for any static spherically symmetric metric, of the relation $T_h=\frac{\cal K}{2\pi}$ connecting the black hole temperature ($T_h$) with the surface gravity ($\cal K$), following the tunneling interpretation of Hawking radiation. This derivation is valid even beyond the semi classical regime i. e. when quantum effects are not negligible. The formalism is then applied to a spherically symmetric, stationary noncommutative Schwarzschild space time. The effects of back reaction are also included. For such a black hole the Hawking temperature is computed in a closed form. A graphical analysis reveals interesting features regarding the variation of the Hawking temperature (including corrections due to noncommutativity and back reaction) with the small radius of the black hole. The entropy and tunneling rate valid for the leading order in the noncommutative parameter are calculated. We also show that the noncommutative Bekenstein-Hawking area law has the same functional form as the usual one.

[ { "created": "Wed, 23 Jan 2008 14:24:20 GMT", "version": "v1" }, { "created": "Tue, 6 May 2008 08:42:18 GMT", "version": "v2" } ]

2008-11-26

[ [ "Banerjee", "Rabin", "" ], [ "Majhi", "Bibhas Ranjan", "" ], [ "Samanta", "Saurav", "" ] ]

We give a general derivation, for any static spherically symmetric metric, of the relation $T_h=\frac{\cal K}{2\pi}$ connecting the black hole temperature ($T_h$) with the surface gravity ($\cal K$), following the tunneling interpretation of Hawking radiation. This derivation is valid even beyond the semi classical regime i. e. when quantum effects are not negligible. The formalism is then applied to a spherically symmetric, stationary noncommutative Schwarzschild space time. The effects of back reaction are also included. For such a black hole the Hawking temperature is computed in a closed form. A graphical analysis reveals interesting features regarding the variation of the Hawking temperature (including corrections due to noncommutativity and back reaction) with the small radius of the black hole. The entropy and tunneling rate valid for the leading order in the noncommutative parameter are calculated. We also show that the noncommutative Bekenstein-Hawking area law has the same functional form as the usual one.

7.658444

7.056038

6.905334

6.966572

6.747396

6.917147

7.363422

6.410132

6.627496

6.843832

6.898461

7.330739

7.097862

6.981696

7.032237

7.027687

7.216514

7.107808

7.20132

7.381038

7.239239

0904.2932

Katrin Becker

Katrin Becker, Chris Bertinato, Yu-Chieh Chung and Guangyu Guo

Supersymmetry breaking, heterotic strings and fluxes

26 pages, corrected typos, added references

Nucl.Phys.B823:428-447,2009

10.1016/j.nuclphysb.2009.07.025

MIFP-09-14, NSF-KITP-09-30

hep-th

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

In this paper we consider compactifications of heterotic strings in the presence of background flux. The background metric is a T^2 fibration over a K3 base times four-dimensional Minkowski space. Depending on the choice of three-form flux different amounts of supersymmetry are preserved (N=2,1,0). For supersymmetric solutions unbroken space-time supersymmetry determines all background fields except one scalar function which is related to the dilaton. The heterotic Bianchi identity gives rise to a differential equation for the dilaton which we discuss in detail for solutions preserving an N=2 supersymmetry. In this case the differential equation is of Laplace type and as a result the solvability is guaranteed.

[ { "created": "Sun, 19 Apr 2009 20:28:13 GMT", "version": "v1" }, { "created": "Mon, 4 May 2009 19:41:24 GMT", "version": "v2" } ]

2011-04-14

[ [ "Becker", "Katrin", "" ], [ "Bertinato", "Chris", "" ], [ "Chung", "Yu-Chieh", "" ], [ "Guo", "Guangyu", "" ] ]

In this paper we consider compactifications of heterotic strings in the presence of background flux. The background metric is a T^2 fibration over a K3 base times four-dimensional Minkowski space. Depending on the choice of three-form flux different amounts of supersymmetry are preserved (N=2,1,0). For supersymmetric solutions unbroken space-time supersymmetry determines all background fields except one scalar function which is related to the dilaton. The heterotic Bianchi identity gives rise to a differential equation for the dilaton which we discuss in detail for solutions preserving an N=2 supersymmetry. In this case the differential equation is of Laplace type and as a result the solvability is guaranteed.

7.623302

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6.761608

6.945346

6.759475

6.815741

6.203959

6.488428

7.989279

6.370535

6.556067

7.273883

6.767305

6.830554

6.659263

6.665837

6.563719

6.625834

7.064816

6.770603

1006.3510

M. Hossein Dehghani

M. H. Dehghani and R. B. Mann

Thermodynamics of Lovelock-Lifshitz Black Branes

16 pages, no figure, typos fixed

Phys.Rev.D82:064019,2010

10.1103/PhysRevD.82.064019

null

hep-th gr-qc

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

We investigate the thermodynamics of Lovelock-Lifshitz black branes. We begin by introducing the finite action of third order Lovelock gravity in the presence of a massive vector field for a flat boundary, and use it to compute the energy density of these black branes. Using the field equations, we find a conserved quantity along the $r$ coordinate that relates the metric parameters at the horizon and at infinity. Remarkably, though the subleading large-$r$ behavior of Lovelock-Lifshitz black branes differs substantively from their Einsteinian Lifshitz counterparts, we find that the relationship between the energy density, temperature, and entropy density is unchanged from Einsteinian gravity. Using the first law of thermodynamics to obtain the relationship between entropy and temperature, we find that it too is the same as the Einsteinian case, apart from a constant of integration that depends on the Lovelock coefficients.

[ { "created": "Thu, 17 Jun 2010 16:35:05 GMT", "version": "v1" }, { "created": "Thu, 16 Sep 2010 13:00:32 GMT", "version": "v2" } ]

2014-11-21

[ [ "Dehghani", "M. H.", "" ], [ "Mann", "R. B.", "" ] ]

We investigate the thermodynamics of Lovelock-Lifshitz black branes. We begin by introducing the finite action of third order Lovelock gravity in the presence of a massive vector field for a flat boundary, and use it to compute the energy density of these black branes. Using the field equations, we find a conserved quantity along the $r$ coordinate that relates the metric parameters at the horizon and at infinity. Remarkably, though the subleading large-$r$ behavior of Lovelock-Lifshitz black branes differs substantively from their Einsteinian Lifshitz counterparts, we find that the relationship between the energy density, temperature, and entropy density is unchanged from Einsteinian gravity. Using the first law of thermodynamics to obtain the relationship between entropy and temperature, we find that it too is the same as the Einsteinian case, apart from a constant of integration that depends on the Lovelock coefficients.

6.296943

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6.027279

6.143171

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6.131071

6.314313

6.051873

6.28353

6.106396

0707.0957

Andrea Fuster

A. Coley, A. Fuster and S. Hervik

Supergravity solutions with constant scalar invariants

12 pages; to appear in IJMPA

null

NIKHEF/2007-016

hep-th gr-qc

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

We study a class of constant scalar invariant (CSI) spacetimes, which belong to the higher-dimensional Kundt class, that are solutions of supergravity. We review the known CSI supergravity solutions in this class and we explicitly present a number of new exact CSI supergravity solutions, some of which are Einstein.

[ { "created": "Fri, 6 Jul 2007 12:29:38 GMT", "version": "v1" }, { "created": "Wed, 17 Dec 2008 08:27:00 GMT", "version": "v2" } ]

2008-12-17

[ [ "Coley", "A.", "" ], [ "Fuster", "A.", "" ], [ "Hervik", "S.", "" ] ]

We study a class of constant scalar invariant (CSI) spacetimes, which belong to the higher-dimensional Kundt class, that are solutions of supergravity. We review the known CSI supergravity solutions in this class and we explicitly present a number of new exact CSI supergravity solutions, some of which are Einstein.

11.229074

10.781896

10.044196

8.982009

10.635074

10.030626

10.581093

8.326534

9.832093

9.953039

10.247887

9.955411

9.821666

9.309481

10.245546

9.605502

9.971302

9.363702

10.178675

9.642432

9.503117

1807.07871

Isobel Kolb\'e

Sylvain Mogliacci, Isobel Kolb\'e, W. A. Horowitz

Geometrically confined thermal field theory: Finite size corrections and phase transitions

47 pages, 15 figures

Phys. Rev. D 102, 116017 (2020)

10.1103/PhysRevD.102.116017

INT-PUB-20-045

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

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

Motivated by the recent shocking results from RHIC and LHC that show quark-gluon plasma signatures in small systems, we study a simple model of a massless, noninteracting scalar field confined with Dirichlet boundary conditions. We use this system to investigate the finite size corrections to thermal field theoretically derived quantities compared to the usual Stefan-Boltzmann limit of an ideal gas not confined in any direction. Two equivalent expressions with different numerical convergence properties are found for the free energy in $D$ rectilinear spacetime dimensions with $c\le D-1$ spatial dimensions of finite extent. We find that the First Law of Thermodynamics generalizes such that the pressure depends on direction but that the Third Law is respected. For systems with finite dimension(s) but infinite volumes, such as a field constrained between two parallel plates or a rectangular tube, the relative fluctuations in energy are zero, and hence the canonical and microcanonical ensembles are equivalent. We present precise numerical results for the free energy, total internal energy, pressure, entropy, and heat capacity of our field between parallel plates, in a tube, and in finite volume boxes of various sizes in 4 spacetime dimensions. For temperatures and system sizes relevant for heavy ion phenomenology, we find large deviations from the Stefan-Boltzmann limit for these quantities, especially for the pressure. Further investigation of an isolated system of fields constrained between parallel plates reveals a divergent isoenergetic compressibility at a critical length $L_c\sim1/T$. We have thus discovered a new second order phase transition via a first principles calculation, a transition that is driven by the size of the system.

[ { "created": "Thu, 19 Jul 2018 17:44:23 GMT", "version": "v1" }, { "created": "Mon, 4 Jan 2021 19:04:55 GMT", "version": "v2" } ]

2021-01-06

[ [ "Mogliacci", "Sylvain", "" ], [ "Kolbé", "Isobel", "" ], [ "Horowitz", "W. A.", "" ] ]

Motivated by the recent shocking results from RHIC and LHC that show quark-gluon plasma signatures in small systems, we study a simple model of a massless, noninteracting scalar field confined with Dirichlet boundary conditions. We use this system to investigate the finite size corrections to thermal field theoretically derived quantities compared to the usual Stefan-Boltzmann limit of an ideal gas not confined in any direction. Two equivalent expressions with different numerical convergence properties are found for the free energy in $D$ rectilinear spacetime dimensions with $c\le D-1$ spatial dimensions of finite extent. We find that the First Law of Thermodynamics generalizes such that the pressure depends on direction but that the Third Law is respected. For systems with finite dimension(s) but infinite volumes, such as a field constrained between two parallel plates or a rectangular tube, the relative fluctuations in energy are zero, and hence the canonical and microcanonical ensembles are equivalent. We present precise numerical results for the free energy, total internal energy, pressure, entropy, and heat capacity of our field between parallel plates, in a tube, and in finite volume boxes of various sizes in 4 spacetime dimensions. For temperatures and system sizes relevant for heavy ion phenomenology, we find large deviations from the Stefan-Boltzmann limit for these quantities, especially for the pressure. Further investigation of an isolated system of fields constrained between parallel plates reveals a divergent isoenergetic compressibility at a critical length $L_c\sim1/T$. We have thus discovered a new second order phase transition via a first principles calculation, a transition that is driven by the size of the system.

10.761994

12.194973

11.235087

10.515927

11.837946

12.18544

11.708854

11.228374

10.501208

11.427806

10.656656

11.015898

10.876698

10.440569

10.923846

11.174773

11.138412

10.923487

10.543766

10.869859

10.659567

2312.11238

Sascha Gehrmann

Holger Frahm, Sascha Gehrmann and Gleb A. Kotousov

Scaling limit of the staggered six-vertex model with $U_q\big(\mathfrak{sl}(2)\big)$ invariant boundary conditions

35 pages, minor revisions made, SciPost style used

SciPost Phys. 16, 149 (2024)

10.21468/SciPostPhys.16.6.149

null

hep-th cond-mat.stat-mech math-ph math.MP

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

We study the scaling limit of a statistical system, which is a special case of the integrable inhomogeneous six-vertex model. It possesses $U_q\big(\mathfrak{sl}(2)\big)$ invariance due to the choice of open boundary conditions imposed. An interesting feature of the lattice theory is that the spectrum of scaling dimensions contains a continuous component. By applying the ODE/IQFT correspondence and the method of the Baxter $Q$ operator the corresponding density of states is obtained. In addition, the partition function appearing in the scaling limit of the lattice model is computed, which may be of interest for the study of nonrational CFTs in the presence of boundaries. As a side result of the research, a simple formula for the matrix elements of the $Q$ operator for the general, integrable, inhomogeneous six-vertex model was discovered, that has not yet appeared in the literature. It is valid for a certain one parameter family of diagonal open boundary conditions in the sector with the $z\,$-projection of the total spin operator being equal to zero.

[ { "created": "Mon, 18 Dec 2023 14:36:51 GMT", "version": "v1" }, { "created": "Tue, 19 Dec 2023 17:00:17 GMT", "version": "v2" }, { "created": "Thu, 4 Apr 2024 09:41:20 GMT", "version": "v3" } ]

2024-06-05

[ [ "Frahm", "Holger", "" ], [ "Gehrmann", "Sascha", "" ], [ "Kotousov", "Gleb A.", "" ] ]

We study the scaling limit of a statistical system, which is a special case of the integrable inhomogeneous six-vertex model. It possesses $U_q\big(\mathfrak{sl}(2)\big)$ invariance due to the choice of open boundary conditions imposed. An interesting feature of the lattice theory is that the spectrum of scaling dimensions contains a continuous component. By applying the ODE/IQFT correspondence and the method of the Baxter $Q$ operator the corresponding density of states is obtained. In addition, the partition function appearing in the scaling limit of the lattice model is computed, which may be of interest for the study of nonrational CFTs in the presence of boundaries. As a side result of the research, a simple formula for the matrix elements of the $Q$ operator for the general, integrable, inhomogeneous six-vertex model was discovered, that has not yet appeared in the literature. It is valid for a certain one parameter family of diagonal open boundary conditions in the sector with the $z\,$-projection of the total spin operator being equal to zero.

8.109924

7.63385

9.154727

7.149469

7.525014

7.887378

7.687212

7.526366

7.354227

9.287624

7.146099

7.573072

8.318514

7.656355

7.85104

7.411932

7.687687

7.584859

7.657822

8.120681

7.402949

2404.05918

Azadeh Mohammadi

Jo\'as Ven\^ancio, Lameque Filho, Herondy Mota and Azadeh Mohammadi

Thermal Casimir effect for a Dirac field on flat space with a nontrivial circular boundary condition

null

hep-th

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

This work investigates the thermal Casimir effect associated with a massive spinor field defined on a four-dimensional flat space with a circularly compactified spatial dimension whose periodicity is oriented along a vector in $xy$-plane. We employ the generalized zeta function method to establish a finite definition for the vacuum free energy density. This definition conveniently separates into the zero-temperature Casimir energy density and additional terms accounting for temperature corrections. The structure of existing divergences is analyzed from the asymptotic behavior of the spinor heat kernel function and removed in the renormalization by subtracting scheme. The only non-null heat coefficient is the one associated with the Euclidean divergence. We also address the need for a finite renormalization to treat the ambiguity in the zeta function regularization prescription \text{associated} with this Euclidean heat kernel coefficient and ensure that the renormalization procedure is unique. The high- and low-temperature asymptotic limits are also explored. In particular, we explicitly show that free energy density lacks a classical limit at high temperatures, and the entropy density agrees with the Nernst heat theorem at low temperatures.

[ { "created": "Tue, 9 Apr 2024 00:37:23 GMT", "version": "v1" } ]

2024-04-10

[ [ "Venâncio", "Joás", "" ], [ "Filho", "Lameque", "" ], [ "Mota", "Herondy", "" ], [ "Mohammadi", "Azadeh", "" ] ]

This work investigates the thermal Casimir effect associated with a massive spinor field defined on a four-dimensional flat space with a circularly compactified spatial dimension whose periodicity is oriented along a vector in $xy$-plane. We employ the generalized zeta function method to establish a finite definition for the vacuum free energy density. This definition conveniently separates into the zero-temperature Casimir energy density and additional terms accounting for temperature corrections. The structure of existing divergences is analyzed from the asymptotic behavior of the spinor heat kernel function and removed in the renormalization by subtracting scheme. The only non-null heat coefficient is the one associated with the Euclidean divergence. We also address the need for a finite renormalization to treat the ambiguity in the zeta function regularization prescription \text{associated} with this Euclidean heat kernel coefficient and ensure that the renormalization procedure is unique. The high- and low-temperature asymptotic limits are also explored. In particular, we explicitly show that free energy density lacks a classical limit at high temperatures, and the entropy density agrees with the Nernst heat theorem at low temperatures.

13.712415

12.976846

12.561413

12.522999

13.783989

13.632778

14.237755

12.958129

13.478691

14.12579

12.937773

12.647305

13.444177

13.031101

12.679864

12.646274

12.85425

13.005982

13.107742

13.800365

12.930578

hep-th/9502089

null

G. Bonelli, P.A. Marchetti and M. Matone

Algebraic-geometrical formulation of two-dimensional quantum gravity

10 pages, Latex file

Lett.Math.Phys. 36 (1996) 189-196

10.1007/BF00714381

DFPD 95/TH/05

hep-th alg-geom gr-qc math.AG math.QA nlin.SI q-alg solv-int

null

We find a volume form on moduli space of double punctured Riemann surfaces whose integral satisfies the Painlev\'e I recursion relations of the genus expansion of the specific heat of 2D gravity. This allows us to express the asymptotic expansion of the specific heat as an integral on an infinite dimensional moduli space in the spirit of Friedan-Shenker approach. We outline a conjectural derivation of such recursion relations using the Duistermaat-Heckman theorem.

[ { "created": "Tue, 14 Feb 1995 16:30:26 GMT", "version": "v1" } ]

2016-09-06

[ [ "Bonelli", "G.", "" ], [ "Marchetti", "P. A.", "" ], [ "Matone", "M.", "" ] ]

We find a volume form on moduli space of double punctured Riemann surfaces whose integral satisfies the Painlev\'e I recursion relations of the genus expansion of the specific heat of 2D gravity. This allows us to express the asymptotic expansion of the specific heat as an integral on an infinite dimensional moduli space in the spirit of Friedan-Shenker approach. We outline a conjectural derivation of such recursion relations using the Duistermaat-Heckman theorem.

11.735818

10.928683

12.16964

9.954971

11.81662

9.714355

10.619469

9.542374

10.161309

11.184883

9.633849

10.114744

10.158652

9.862575

9.718469

9.660254

9.707756

10.289579

9.876562

10.091163

9.341344

2012.12021

Rudra Prakash Malik

A. K. Rao, A. Tripathi, R. P. Malik

Supervariable and BRST Approaches to a Reparameterization Invariant Non-Relativistic System

LaTeX file, 31 pages, Version to appear in AHEP (2021)

Advances in High Energy Physics, vol. 2021, Article ID 5593434, 20 pages, 2021

10.1155/2021/5593434.

null

hep-th

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

We exploit the theoretical strength of the supervariable and Becchi-Rouet-Stora-Tyutin (BRST) formalisms to derive the proper (i.e. off-shell nilpotent and absolutely anticommuting) (anti-)BRST symmetry transformations for the reparameterization invariant model of a non-relativistic (NR) free particle whose space $(x)$ and time $(t)$ variables are function of an evolution parameter $(\tau)$. The infinitesimal reparameterization (i.e. 1D diffeomorphism) symmetry transformation of our theory is defined w.r.t. this evolution parameter $(\tau)$. We apply the modified Bonora-Tonin (BT) supervariable approach (MBTSA) as well as the (anti-)chiral supervariable approach (ACSA) to BRST formalism to discuss various aspects of our present system. For this purpose, our 1D ordinary theory (parameterized by $\tau$) is generalized onto a $(1, 2)$-dimensional supermanifold which is characterized by the superspace coordinates $Z^M = (\tau, \theta, \bar\theta)$ where a pair of Grassmannian variables satisfy the fermionic relationships: $\theta^2 = {\bar\theta}^2 = 0, \, \theta\,\bar\theta + \bar\theta\,\theta = 0$ and $\tau$ is the bosonic evolution parameter. In the context of ACSA, we take into account only the (1, 1)-dimensional (anti-)chiral super sub-manifolds of the general (1, 2)-dimensional supermanifold. The derivation of the universal Curci-Ferrari (CF)-type restriction, from various underlying theoretical methods, is a novel observation in our present endeavor. Furthermore, we note that the form of the gauge-fixing and Faddeev-Popov ghost terms for our NR and non-SUSY system is exactly same as that of the reparameterization invariant SUSY (i.e. spinning) and non-SUSY (i.e. scalar) relativistic particles. This is a novel observation, too.

[ { "created": "Tue, 22 Dec 2020 14:13:02 GMT", "version": "v1" }, { "created": "Thu, 24 Jun 2021 14:19:29 GMT", "version": "v2" } ]

2021-07-27

[ [ "Rao", "A. K.", "" ], [ "Tripathi", "A.", "" ], [ "Malik", "R. P.", "" ] ]

We exploit the theoretical strength of the supervariable and Becchi-Rouet-Stora-Tyutin (BRST) formalisms to derive the proper (i.e. off-shell nilpotent and absolutely anticommuting) (anti-)BRST symmetry transformations for the reparameterization invariant model of a non-relativistic (NR) free particle whose space $(x)$ and time $(t)$ variables are function of an evolution parameter $(\tau)$. The infinitesimal reparameterization (i.e. 1D diffeomorphism) symmetry transformation of our theory is defined w.r.t. this evolution parameter $(\tau)$. We apply the modified Bonora-Tonin (BT) supervariable approach (MBTSA) as well as the (anti-)chiral supervariable approach (ACSA) to BRST formalism to discuss various aspects of our present system. For this purpose, our 1D ordinary theory (parameterized by $\tau$) is generalized onto a $(1, 2)$-dimensional supermanifold which is characterized by the superspace coordinates $Z^M = (\tau, \theta, \bar\theta)$ where a pair of Grassmannian variables satisfy the fermionic relationships: $\theta^2 = {\bar\theta}^2 = 0, \, \theta\,\bar\theta + \bar\theta\,\theta = 0$ and $\tau$ is the bosonic evolution parameter. In the context of ACSA, we take into account only the (1, 1)-dimensional (anti-)chiral super sub-manifolds of the general (1, 2)-dimensional supermanifold. The derivation of the universal Curci-Ferrari (CF)-type restriction, from various underlying theoretical methods, is a novel observation in our present endeavor. Furthermore, we note that the form of the gauge-fixing and Faddeev-Popov ghost terms for our NR and non-SUSY system is exactly same as that of the reparameterization invariant SUSY (i.e. spinning) and non-SUSY (i.e. scalar) relativistic particles. This is a novel observation, too.

5.358125

4.263794

6.691855

4.486187

4.87499

4.34877

4.511581

4.380122

4.379425

6.969772

4.387888

4.819547

5.503727

5.021152

5.146717

5.01534

5.205204

4.881303

5.122869

5.586287

4.904511

hep-th/9812244

Olaf Lechtenfeld

Olaf Lechtenfeld and Boris Zupnik

Manifestly invariant actions for harmonic self-dual gauge theory

16 pages, no figures

null

ITP-UH-36/98, JINR E2-98-382

hep-th

null

We discuss alternative descriptions of four-dimensional self-dual Yang-Mills fields in harmonic space with additional commuting spinor coordinates. In particular, the linear analyticity equation and nonlinear covariant harmonic-field equations are studied. A covariant harmonic field can be treated as an infinite set of ordinary four-dimensional fields with higher spins. We analyze different constructions of invariant harmonic-field actions corresponding to the self-dual harmonic equations.

[ { "created": "Wed, 30 Dec 1998 17:41:25 GMT", "version": "v1" } ]

2007-05-23

[ [ "Lechtenfeld", "Olaf", "" ], [ "Zupnik", "Boris", "" ] ]

We discuss alternative descriptions of four-dimensional self-dual Yang-Mills fields in harmonic space with additional commuting spinor coordinates. In particular, the linear analyticity equation and nonlinear covariant harmonic-field equations are studied. A covariant harmonic field can be treated as an infinite set of ordinary four-dimensional fields with higher spins. We analyze different constructions of invariant harmonic-field actions corresponding to the self-dual harmonic equations.

18.005564

15.58761

18.721586

17.124649

16.712265

16.719194

16.625198

15.475366

16.840549

22.644936

15.85045

16.638296

18.379635

16.231222

17.288673

16.868212

15.85146

17.317726

16.487698

18.042213

16.753683

2305.10712

Brett McInnes

Slow Complexification

23 pages, 4 figures, references added, some discussions simplified, added a discussion of the possible relation of complexity with quantum teleportation. Version to appear in Nuclear Physics B

Nuclear Physics B, Volume 998, January 2024, 116401

null

hep-th gr-qc hep-ph

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

The fact that AdS black hole interior geometries are time-dependent presents two challenges: first, to holographic duality (the boundary matter tends to equilibrate, often very quickly), and, second, to the idea that wormholes can be traversable (the wormhole geometry is dynamic, and the wormhole is apt to collapse too quickly for traversal to be possible). As is well known, the first puzzle can be addressed by considering the quantum circuit complexity of the strongly coupled boundary matter, which can continue to grow long after equilibrium is established. We show that data from a phenomenological model of the Quark-Gluon Plasma indicate the existence of an upper bound on the rate of increase of the (specific) complexity, in agreement with a simple holographic model. We then point out that, in this model, this upper bound becomes stricter if angular momentum is added to the bulk black hole while fixing the temperature (at any value, so the black hole is \emph{not} near-extremal). We show that the dual phenomenon, a dramatic slowing of the black hole interior dynamics at high specific angular momentum, also occurs. We conjecture that sufficiently slow complexification of the field theories dual to rotating black holes is associated with traversability of the bulk wormhole, when quantum effects are taken into account.

[ { "created": "Thu, 18 May 2023 05:17:30 GMT", "version": "v1" }, { "created": "Thu, 27 Jul 2023 04:26:13 GMT", "version": "v2" }, { "created": "Wed, 22 Nov 2023 05:04:37 GMT", "version": "v3" } ]

2023-11-23

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

The fact that AdS black hole interior geometries are time-dependent presents two challenges: first, to holographic duality (the boundary matter tends to equilibrate, often very quickly), and, second, to the idea that wormholes can be traversable (the wormhole geometry is dynamic, and the wormhole is apt to collapse too quickly for traversal to be possible). As is well known, the first puzzle can be addressed by considering the quantum circuit complexity of the strongly coupled boundary matter, which can continue to grow long after equilibrium is established. We show that data from a phenomenological model of the Quark-Gluon Plasma indicate the existence of an upper bound on the rate of increase of the (specific) complexity, in agreement with a simple holographic model. We then point out that, in this model, this upper bound becomes stricter if angular momentum is added to the bulk black hole while fixing the temperature (at any value, so the black hole is \emph{not} near-extremal). We show that the dual phenomenon, a dramatic slowing of the black hole interior dynamics at high specific angular momentum, also occurs. We conjecture that sufficiently slow complexification of the field theories dual to rotating black holes is associated with traversability of the bulk wormhole, when quantum effects are taken into account.

11.461322

12.478386

11.764573

11.328943

12.916075

12.210247

12.131684

11.544083

11.532287

13.78724

11.454787

12.015956

11.72996

11.421716

11.777606

11.478503

11.728607

11.334341

11.82616

11.684143

11.285257

hep-th/9409123

null

M. Sakamoto and M. Tachibana

Topological Terms in String Theory on Orbifolds

15pages,LaTex,KOBE-TH-94-05

Prog.Theor.Phys. 93 (1995) 471-482

10.1143/PTP.93.471

null

hep-th

null

We study toroidal orbifold models with topologically invariant terms in the path integral formalism and give physical interpretations of the terms from an operator formalism point of view. We briefly discuss a possibility of a new class of modular invariant orbifold models.

[ { "created": "Wed, 21 Sep 1994 09:39:25 GMT", "version": "v1" } ]

2009-10-28

[ [ "Sakamoto", "M.", "" ], [ "Tachibana", "M.", "" ] ]

We study toroidal orbifold models with topologically invariant terms in the path integral formalism and give physical interpretations of the terms from an operator formalism point of view. We briefly discuss a possibility of a new class of modular invariant orbifold models.

18.569696

14.294897

20.754795

13.72309

12.637617

15.104555

15.217999

15.412689

14.850554

19.674519

14.008359

14.791091

18.387318

15.171596

13.883493

14.703669

14.190756

14.638701

14.701425

18.583935

15.209666

1309.4362

Marc Henneaux

Marc Henneaux, Alfredo Perez, David Tempo, Ricardo Troncoso

Chemical potentials in three-dimensional higher spin anti-de Sitter gravity

Minor misprints corrected

null

10.1007/JHEP12(2013)048

null

hep-th gr-qc

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

We indicate how to introduce chemical potentials for higher spin charges in higher spin anti-de Sitter gravity in a manner that manifestly preserves the original asymptotic W-symmetry. This is done by switching on a non-vanishing component of the connection along the temporal (thermal) circles. We first recall the procedure in the pure gravity case (no higher spin) where the only "chemical potentials" are the temperature and the chemical potential associated with the angular momentum. We then generalize to the higher spin case. We find that there is no tension with the W(N) or W(infinity) asymptotic algebra, which is obviously unchanged by the introduction of the chemical potentials. Our argument is non-perturbative.

[ { "created": "Tue, 17 Sep 2013 15:59:43 GMT", "version": "v1" }, { "created": "Sat, 21 Sep 2013 21:30:54 GMT", "version": "v2" }, { "created": "Fri, 7 Feb 2014 07:14:52 GMT", "version": "v3" } ]

2015-06-17

[ [ "Henneaux", "Marc", "" ], [ "Perez", "Alfredo", "" ], [ "Tempo", "David", "" ], [ "Troncoso", "Ricardo", "" ] ]

We indicate how to introduce chemical potentials for higher spin charges in higher spin anti-de Sitter gravity in a manner that manifestly preserves the original asymptotic W-symmetry. This is done by switching on a non-vanishing component of the connection along the temporal (thermal) circles. We first recall the procedure in the pure gravity case (no higher spin) where the only "chemical potentials" are the temperature and the chemical potential associated with the angular momentum. We then generalize to the higher spin case. We find that there is no tension with the W(N) or W(infinity) asymptotic algebra, which is obviously unchanged by the introduction of the chemical potentials. Our argument is non-perturbative.

10.072104

8.266587

10.406551

8.898897

8.988691

9.72396

8.975248

9.010197

8.731594

11.571195

9.185472

8.835144

10.0164

8.722739

8.919927

8.725016

8.761546

8.910664

8.832659

10.288521

8.743191

0907.2296

Marc Bellon

Marc Bellon (LPTHE)

Approximate Differential Equations for Renormalization Group Functions in Models Free of Vertex Divergencies

Clarification of the presentation of results. Equations and results unchanged. Match the published version. 12 pages

Nucl.Phys.B826:522-531,2010

10.1016/j.nuclphysb.2009.11.002

null

hep-th math-ph math.MP

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

I introduce an approximation scheme that allows to deduce differential equations for the renormalization group $\beta$-function from a Schwinger--Dyson equation for the propagator. This approximation is proven to give the dominant asymptotic behavior of the perturbative solution. In the supersymmetric Wess--Zumino model and a $\phi^3_6$ scalar model which do not have divergent vertex functions, this simple Schwinger--Dyson equation for the propagator captures the main quantum corrections.

[ { "created": "Tue, 14 Jul 2009 07:12:03 GMT", "version": "v1" }, { "created": "Mon, 5 Oct 2009 08:41:02 GMT", "version": "v2" }, { "created": "Wed, 18 Nov 2009 12:24:14 GMT", "version": "v3" } ]

2009-11-23

[ [ "Bellon", "Marc", "", "LPTHE" ] ]

I introduce an approximation scheme that allows to deduce differential equations for the renormalization group $\beta$-function from a Schwinger--Dyson equation for the propagator. This approximation is proven to give the dominant asymptotic behavior of the perturbative solution. In the supersymmetric Wess--Zumino model and a $\phi^3_6$ scalar model which do not have divergent vertex functions, this simple Schwinger--Dyson equation for the propagator captures the main quantum corrections.

8.825159

7.960499

8.026579

8.346557

8.157094

8.055763

8.546702

8.224945

8.00071

9.123676

8.103813

7.90972

8.314865

7.774045

7.880452

7.904164

7.892148

7.816221

7.895882

8.364906

7.905131

hep-th/0302067

Sean Carroll

Sean M. Carroll and Monica M. Guica

Sidestepping the Cosmological Constant with Football-Shaped Extra Dimensions

null

EFI-2003-05

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

null

We present an exact solution for a factorizable brane-world spacetime with two extra dimensions and explicit brane sources. The compactification manifold has the topology of a two-sphere, and is stabilized by a bulk cosmological constant and magnetic flux. The geometry of the sphere is locally round except for conical singularities at the locations of two antipodal branes, deforming the sphere into an American-style football. The bulk magnetic flux needs to be fine-tuned to obtain flat geometry on the branes. Once this is done, the brane geometry is insensitive to the brane vacuum energy, which only affects the conical deficit angle of the extra dimensions. Solutions of this form provide a new arena in which to explore brane-world phenomenology and the effects of extra dimensions on the cosmological constant problem.

[ { "created": "Tue, 11 Feb 2003 02:29:46 GMT", "version": "v1" } ]

2007-05-23

[ [ "Carroll", "Sean M.", "" ], [ "Guica", "Monica M.", "" ] ]

We present an exact solution for a factorizable brane-world spacetime with two extra dimensions and explicit brane sources. The compactification manifold has the topology of a two-sphere, and is stabilized by a bulk cosmological constant and magnetic flux. The geometry of the sphere is locally round except for conical singularities at the locations of two antipodal branes, deforming the sphere into an American-style football. The bulk magnetic flux needs to be fine-tuned to obtain flat geometry on the branes. Once this is done, the brane geometry is insensitive to the brane vacuum energy, which only affects the conical deficit angle of the extra dimensions. Solutions of this form provide a new arena in which to explore brane-world phenomenology and the effects of extra dimensions on the cosmological constant problem.

8.174581

8.126973

8.974195

8.09514

7.711276

7.381052

8.016556

7.527416

7.762285

9.345523

8.13978

7.820731

8.143513

7.855206

7.83438

7.906765

7.955654

7.950803

7.914323

7.992298

7.852497

hep-th/0205048

Horatiu Stefan Nastase

David Berenstein and Horatiu Nastase

On lightcone string field theory from Super Yang-Mills and holography

40 pages, 17 figures, latex; v2: typos corrected, references added, Comments on extra diagrams added (page 30)

null

hep-th

null

We investigate the issues of holography and string interactions in the duality between SYM and the pp wave background. We argue that the Penrose diagram of the maximally supersymmetric pp-wave has a one dimensional boundary. This fact suggests that the holographic dual of the pp-wave can be described by a quantum mechanical system. We believe this quantum mechanical system should be formulated as a matrix model. From the SYM point of view this matrix model is built out of the lowest lying KK modes of the SYM theory on an $S^3$ compactification, and it relates to a wave which has been compactified along one of the null directions. String interactions are defined by finite time amplitudes on this matrix model. For closed strings they arise as in AdS-CFT, by free SYM diagrams. For open strings, they arise from the diagonalization of the hamiltonian to first order in perturbation theory. Estimates of the leading behaviour of amplitudes in SYM and string theory agree, although they are performed in very different regimes. Corrections are organized in powers of $1/(\mu \alpha ' p^+)^2$ and $g^2(\mu \alpha ' p^+)^4$.

[ { "created": "Tue, 7 May 2002 17:02:09 GMT", "version": "v1" }, { "created": "Wed, 15 May 2002 17:39:19 GMT", "version": "v2" } ]

2007-05-23

[ [ "Berenstein", "David", "" ], [ "Nastase", "Horatiu", "" ] ]

We investigate the issues of holography and string interactions in the duality between SYM and the pp wave background. We argue that the Penrose diagram of the maximally supersymmetric pp-wave has a one dimensional boundary. This fact suggests that the holographic dual of the pp-wave can be described by a quantum mechanical system. We believe this quantum mechanical system should be formulated as a matrix model. From the SYM point of view this matrix model is built out of the lowest lying KK modes of the SYM theory on an $S^3$ compactification, and it relates to a wave which has been compactified along one of the null directions. String interactions are defined by finite time amplitudes on this matrix model. For closed strings they arise as in AdS-CFT, by free SYM diagrams. For open strings, they arise from the diagonalization of the hamiltonian to first order in perturbation theory. Estimates of the leading behaviour of amplitudes in SYM and string theory agree, although they are performed in very different regimes. Corrections are organized in powers of $1/(\mu \alpha ' p^+)^2$ and $g^2(\mu \alpha ' p^+)^4$.

9.046751

9.408992

10.30615

9.073543

9.878926

9.560254

9.912422

9.038526

9.247045

11.127808

9.141446

9.124114

9.795208

9.19943

9.399106

9.704056

9.265384

9.159624

9.082267

9.620885

8.835453

hep-th/0508116

Michael Creutz

Hidden symmetries in two dimensional field theory

15 pages. Revision adds numerous references and puts things in better historical context

Annals Phys. 321 (2006) 2782-2792

10.1016/j.aop.2006.01.003

null

hep-th hep-lat

null

The bosonization process elegantly shows the equivalence of massless scalar and fermion fields in two space-time dimensions. However, with multiple fermions the technique often obscures global symmetries. Witten's non-Abelian bosonization makes these symmetries explicit, but at the expense of a somewhat complicated bosonic action. Frenkel and Kac have presented an intricate mathematical formalism relating the various approaches. Here I reduce these arguments to the simplest case of a single massless scalar field. In particular, using only elementary quantum field theory concepts, I expose a hidden $SU(2)\times SU(2)$ chiral symmetry in this trivial theory. I then discuss in what sense this field should be interpreted as a Goldstone boson.

[ { "created": "Tue, 16 Aug 2005 13:30:25 GMT", "version": "v1" }, { "created": "Tue, 31 Jan 2006 16:05:02 GMT", "version": "v2" } ]

2009-11-11

[ [ "Creutz", "Michael", "" ] ]

The bosonization process elegantly shows the equivalence of massless scalar and fermion fields in two space-time dimensions. However, with multiple fermions the technique often obscures global symmetries. Witten's non-Abelian bosonization makes these symmetries explicit, but at the expense of a somewhat complicated bosonic action. Frenkel and Kac have presented an intricate mathematical formalism relating the various approaches. Here I reduce these arguments to the simplest case of a single massless scalar field. In particular, using only elementary quantum field theory concepts, I expose a hidden $SU(2)\times SU(2)$ chiral symmetry in this trivial theory. I then discuss in what sense this field should be interpreted as a Goldstone boson.

10.465555

9.911895

11.238954

10.289408

9.917795

11.010591

9.907417

10.01136

9.939315

10.902328

10.17675

9.995264

10.629779

10.249147

10.131779

10.015724

10.082264

9.961543

9.921118

10.304364

10.117435

hep-th/0406165

Kazuyuki Furuuchi

Holomorphically Covariant Matrix Models

12 pages

null

IHES/P/04/30

hep-th

null

We present a method to construct matrix models on arbitrary simply connected oriented real two dimensional Riemannian manifolds. The actions and the path integral measure are invariant under holomorphic transformations of matrix coordinates.

[ { "created": "Mon, 21 Jun 2004 09:21:45 GMT", "version": "v1" } ]

2007-05-23

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

We present a method to construct matrix models on arbitrary simply connected oriented real two dimensional Riemannian manifolds. The actions and the path integral measure are invariant under holomorphic transformations of matrix coordinates.

13.938601

12.472018

13.350113

11.242472

12.083946

12.15726

11.161677

11.086262

11.458136

16.014767

11.455645

11.242057

13.362564

11.085222

11.582964

11.033508

11.254197

11.154716

11.635873

13.518437

11.593529

2003.07958

Nick Early

Freddy Cachazo, Nick Early

Minimal Kinematics: An All $k$ and $n$ Peek into ${\rm Trop}^+{\rm G}(k,n)$

null

SIGMA 17 (2021), 078, 22 pages

10.3842/SIGMA.2021.078

null

hep-th math.CO

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

In this note we present a formula for the Cachazo-Early-Guevara-Mizera (CEGM) generalized biadjoint amplitudes for all $k$ and $n$ on what we call the minimal kinematics. We prove that on the minimal kinematics, the scattering equations on the configuration space of $n$ points on $\mathbb{CP}^{k-1}$ has a unique solution, and that this solution is in the image of a Veronese embedding. The minimal kinematics is an all $k$ generalization of the one recently introduced by Early for $k=2$ and uses a choice of cyclic ordering. We conjecture an explicit formula for $m_n^{(k)}(\mathbb{I},\mathbb{I})$ which we have checked analytically through $n=10$ for all $k$. The answer is a simple rational function which has only simple poles; the poles have the combinatorial structure of the circulant graph ${\rm C}_n^{(1,2,\dots, k-2)}$. Generalized biadjoint amplitudes can also be evaluated using the positive tropical Grassmannian ${\rm Tr}^+{\rm G}(k,n)$ in terms of generalized planar Feynman diagrams. We find perfect agreement between both definitions for all cases where the latter is known in the literature. In particular, this gives the first strong consistency check on the $90\,608$ planar arrays for ${\rm Tr}^+{\rm G}(4,8)$ recently computed by Cachazo, Guevara, Umbert and Zhang. We also introduce another class of special kinematics called planar-basis kinematics which generalizes the one introduced by Cachazo, He and Yuan for $k=2$ and uses the planar basis recently introduced by Early for all $k$. Based on numerical computations through $n=8$ for all $k$, we conjecture that on the planar-basis kinematics $m_n^{(k)}(\mathbb{I},\mathbb{I})$ evaluates to the multidimensional Catalan numbers, suggesting the possibility of novel combinatorial interpretations. For $k=2$ these are the standard Catalan numbers.

[ { "created": "Tue, 17 Mar 2020 21:43:46 GMT", "version": "v1" }, { "created": "Mon, 14 Dec 2020 19:20:09 GMT", "version": "v2" }, { "created": "Wed, 25 Aug 2021 05:25:18 GMT", "version": "v3" } ]

2021-08-26

[ [ "Cachazo", "Freddy", "" ], [ "Early", "Nick", "" ] ]

In this note we present a formula for the Cachazo-Early-Guevara-Mizera (CEGM) generalized biadjoint amplitudes for all $k$ and $n$ on what we call the minimal kinematics. We prove that on the minimal kinematics, the scattering equations on the configuration space of $n$ points on $\mathbb{CP}^{k-1}$ has a unique solution, and that this solution is in the image of a Veronese embedding. The minimal kinematics is an all $k$ generalization of the one recently introduced by Early for $k=2$ and uses a choice of cyclic ordering. We conjecture an explicit formula for $m_n^{(k)}(\mathbb{I},\mathbb{I})$ which we have checked analytically through $n=10$ for all $k$. The answer is a simple rational function which has only simple poles; the poles have the combinatorial structure of the circulant graph ${\rm C}_n^{(1,2,\dots, k-2)}$. Generalized biadjoint amplitudes can also be evaluated using the positive tropical Grassmannian ${\rm Tr}^+{\rm G}(k,n)$ in terms of generalized planar Feynman diagrams. We find perfect agreement between both definitions for all cases where the latter is known in the literature. In particular, this gives the first strong consistency check on the $90\,608$ planar arrays for ${\rm Tr}^+{\rm G}(4,8)$ recently computed by Cachazo, Guevara, Umbert and Zhang. We also introduce another class of special kinematics called planar-basis kinematics which generalizes the one introduced by Cachazo, He and Yuan for $k=2$ and uses the planar basis recently introduced by Early for all $k$. Based on numerical computations through $n=8$ for all $k$, we conjecture that on the planar-basis kinematics $m_n^{(k)}(\mathbb{I},\mathbb{I})$ evaluates to the multidimensional Catalan numbers, suggesting the possibility of novel combinatorial interpretations. For $k=2$ these are the standard Catalan numbers.

6.515419

6.140184

7.541489

6.275951

6.192771

6.230373

6.4496

5.906597

6.039162

8.047048

6.0691

6.34859

6.769109

6.391922

6.429112

6.502051

6.291678

6.524928

6.326237

6.707701

6.298982

1610.00326

Chen Zhang

Instability of Chern-Simons Theory with Fermions at Large N

null

hep-th hep-ph

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

We study the (in)stability around the dynamical gap solution of the $U(N)$ Chern-Simons gauge theory with fundamental fermions (massless or massive) coupled in $D=3$ at large $N$. Explicit analyses on both the Auxiliary-Field (AF) and the Cornwall-Jackiw-Tomboulis (CJT) effective potentials are given. In both approaches we manage to analytically identify the saddle-point instability around the gap solution. We also give a comparison with the QCD-like theories. This study can help understanding the scale symmetry breaking picture of this theory.

[ { "created": "Sun, 2 Oct 2016 18:05:59 GMT", "version": "v1" } ]

2016-10-04

[ [ "Zhang", "Chen", "" ] ]

We study the (in)stability around the dynamical gap solution of the $U(N)$ Chern-Simons gauge theory with fundamental fermions (massless or massive) coupled in $D=3$ at large $N$. Explicit analyses on both the Auxiliary-Field (AF) and the Cornwall-Jackiw-Tomboulis (CJT) effective potentials are given. In both approaches we manage to analytically identify the saddle-point instability around the gap solution. We also give a comparison with the QCD-like theories. This study can help understanding the scale symmetry breaking picture of this theory.

12.561291

12.055368

11.658323

10.57093

12.083364

10.591929

10.894613

11.02334

10.755849

13.263299

10.512613

10.934297

11.670579

10.800112

10.766843

10.627088

10.847056

11.439296

10.59061

11.313317

10.693556

hep-th/0406041

Marek Rogatko

Uniqueness Theorem for Generalized Maxwell Electric and Magnetic Black Holes in Higher Dimensions

7 pages, RevTex, to be published in Phys.Rev.D15

Phys.Rev. D70 (2004) 044023

10.1103/PhysRevD.70.044023

null

hep-th gr-qc

null

Based on the conformal energy theorem we prove the uniqueness theorem for static higher dimensional electrically and magnetically charged black holes being the solution of Einstein (n-2)-gauge forms equations of motion. Black hole spacetime contains an asymptotically flat spacelike hypersurface with compact interior and non-degenerate components of the event horizon.

[ { "created": "Fri, 4 Jun 2004 07:17:57 GMT", "version": "v1" } ]

2009-11-10

[ [ "Rogatko", "Marek", "" ] ]

Based on the conformal energy theorem we prove the uniqueness theorem for static higher dimensional electrically and magnetically charged black holes being the solution of Einstein (n-2)-gauge forms equations of motion. Black hole spacetime contains an asymptotically flat spacelike hypersurface with compact interior and non-degenerate components of the event horizon.

15.706057

7.192713

13.351148

9.764502

9.10039

8.57285

8.605331

8.427722

9.841515

16.078375

9.871096

12.002097

13.249431

12.763426

11.358544

11.656109

11.837122

11.847445

12.713896

14.953506

13.305325

1910.02404

Anurag Kaushal

Parijat Banerjee, Adwait Gaikwad, Anurag Kaushal and Gautam Mandal

Quantum quench and thermalization to GGE in arbitrary dimensions and the odd-even effect

27+12 pages, 6 figures

null

10.1007/JHEP09(2020)027

TIFR/TH/19-34

hep-th cond-mat.stat-mech

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

In many quantum quench experiments involving cold atom systems the post-quench system can be described by a quantum field theory of free scalars or fermions, typically in a box or in an external potential. We work with free scalars in arbitrary dimensions generalizing the techniques employed in our earlier work \cite{Mandal:2015kxi} in 1+1 dimensions. In this paper, we generalize to $d$ spatial dimensions for arbitrary $d$. The system is considered in a box much larger than any other scale of interest. We start with the ground state, or a squeezed state, with a high mass and suddenly quench the system to zero mass ("critical quench"). We explicitly compute time-dependence of local correlators and show that at long times they are described by a generalized Gibbs ensemble (GGE), which, in special cases, reduce to a thermal (Gibbs) ensemble. The equilibration of {\it local} correlators can be regarded as `subsystem thermalization' which we simply call 'thermalization' here (the notion of thermalization here also includes equlibration to GGE). The rate of approach to equilibrium is exponential or power law depending on whether $d$ is odd or even respectively. As in 1+1 dimensions, details of the quench protocol affect the long time behaviour; this underlines the importance of irrelevant operators at IR in non-equilibrium situations. We also discuss quenches from a high mass to a lower non-zero mass, and find that in this case the approach to equilibrium is given by a power law in time, for all spatial dimensions $d$, even or odd.

[ { "created": "Sun, 6 Oct 2019 09:39:35 GMT", "version": "v1" } ]

2023-08-29

[ [ "Banerjee", "Parijat", "" ], [ "Gaikwad", "Adwait", "" ], [ "Kaushal", "Anurag", "" ], [ "Mandal", "Gautam", "" ] ]

In many quantum quench experiments involving cold atom systems the post-quench system can be described by a quantum field theory of free scalars or fermions, typically in a box or in an external potential. We work with free scalars in arbitrary dimensions generalizing the techniques employed in our earlier work \cite{Mandal:2015kxi} in 1+1 dimensions. In this paper, we generalize to $d$ spatial dimensions for arbitrary $d$. The system is considered in a box much larger than any other scale of interest. We start with the ground state, or a squeezed state, with a high mass and suddenly quench the system to zero mass ("critical quench"). We explicitly compute time-dependence of local correlators and show that at long times they are described by a generalized Gibbs ensemble (GGE), which, in special cases, reduce to a thermal (Gibbs) ensemble. The equilibration of {\it local} correlators can be regarded as `subsystem thermalization' which we simply call 'thermalization' here (the notion of thermalization here also includes equlibration to GGE). The rate of approach to equilibrium is exponential or power law depending on whether $d$ is odd or even respectively. As in 1+1 dimensions, details of the quench protocol affect the long time behaviour; this underlines the importance of irrelevant operators at IR in non-equilibrium situations. We also discuss quenches from a high mass to a lower non-zero mass, and find that in this case the approach to equilibrium is given by a power law in time, for all spatial dimensions $d$, even or odd.

8.351154

8.696451

9.220846

8.448389

9.241499

8.848345

9.489279

8.935624

8.539104

9.957355

8.404141

8.371975

8.438515

8.30152

8.473938

8.296449

8.334926

8.140973

8.27313

8.560427

8.332802

1012.5044

Kirsten Schn\"ulle

Burkhard Kleihaus, Jutta Kunz and Kirsten Schn\"ulle

Charged Balanced Black Rings in Five Dimensions

7 pages, 7 figures

null

10.1016/j.physletb.2011.03.072

null

hep-th gr-qc

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

We present balanced black ring solutions of pure Einstein-Maxwell theory in five dimensions. The solutions are asymptotically flat, and their tension and gravitational self-attraction are balanced by the repulsion due to rotation and electrical charge. Hence the solutions are free of conical singularities and possess a regular horizon which exhibits the topology S1 x S2 of a torus. We discuss the global charges and the horizon properties of the solutions and show that they satisfy a Smarr relation. We construct these black rings numerically, restricting to the case of black rings with a rotation in the direction of the S1.

[ { "created": "Wed, 22 Dec 2010 17:22:20 GMT", "version": "v1" } ]

2015-05-20

[ [ "Kleihaus", "Burkhard", "" ], [ "Kunz", "Jutta", "" ], [ "Schnülle", "Kirsten", "" ] ]

We present balanced black ring solutions of pure Einstein-Maxwell theory in five dimensions. The solutions are asymptotically flat, and their tension and gravitational self-attraction are balanced by the repulsion due to rotation and electrical charge. Hence the solutions are free of conical singularities and possess a regular horizon which exhibits the topology S1 x S2 of a torus. We discuss the global charges and the horizon properties of the solutions and show that they satisfy a Smarr relation. We construct these black rings numerically, restricting to the case of black rings with a rotation in the direction of the S1.

9.278061

8.746707

7.618005

6.966738

7.794376

7.980276

7.503549

7.40361

8.132959

8.086735

8.213775

7.761792

7.873989

7.793675

7.995052

8.088573

7.913193

7.973473

7.965506

7.948026

7.821087

1403.1449

Per Sundin

Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)

11 pages, FeynMP. Version 2; footnote added and typos fixed, published version

null

10.1016/j.physletb.2014.04.022

null

hep-th

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

In this note we study worldsheet two- and four-point functions at the one-loop level for the type IIA superstring in AdS(3) x S(3) x M(4) . We first address the regularization ambiguity that appears in the dispersion relation derived from integrability. We demonstrate that only the regulator treating all fields equally respects worldsheet supersymmetry. This is done in an implicit regularization scheme where all divergent terms are collected into master tadpole-type integrals. We then investigate one-loop two-body scattering on the string worldsheet and verify that a recent proposal for the dressing phase reproduces explicit worldsheet computations. All calculations are done in a near-BMN like expansion of the Green-Schwarz superstring equipped with quartic fermions.

[ { "created": "Thu, 6 Mar 2014 14:21:49 GMT", "version": "v1" }, { "created": "Sat, 12 Apr 2014 10:00:27 GMT", "version": "v2" } ]

2015-06-19

[ [ "Sundin", "Per", "" ] ]

In this note we study worldsheet two- and four-point functions at the one-loop level for the type IIA superstring in AdS(3) x S(3) x M(4) . We first address the regularization ambiguity that appears in the dispersion relation derived from integrability. We demonstrate that only the regulator treating all fields equally respects worldsheet supersymmetry. This is done in an implicit regularization scheme where all divergent terms are collected into master tadpole-type integrals. We then investigate one-loop two-body scattering on the string worldsheet and verify that a recent proposal for the dressing phase reproduces explicit worldsheet computations. All calculations are done in a near-BMN like expansion of the Green-Schwarz superstring equipped with quartic fermions.

13.129834

12.666787

16.333422

12.058468

12.248345

12.466468

11.712207

12.271029

12.067208

17.644876

12.258293

12.241882

14.176333

12.283366

12.953056

12.249084

12.58888

12.171032

12.681104

14.172956

12.321564

1305.3547

Richard Eager

Richard Eager and Johannes Schmude

Superconformal Indices and M2-Branes

40 pages, 2 figures

null

hep-th

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

We derive the superconformal index of the world-volume theory on M2-branes probing the cone over an arbitrary Sasaki-Einstein seven-manifold. The index is expressed in terms of the cohomology groups of the cone. We match our supergravity results with known results from gauge theory. Along the way we derive the spectrum of short Kaluza-Klein multiplets on generic Sasaki-Einstein seven-manifolds.

[ { "created": "Wed, 15 May 2013 17:09:19 GMT", "version": "v1" } ]

2013-05-16

[ [ "Eager", "Richard", "" ], [ "Schmude", "Johannes", "" ] ]

We derive the superconformal index of the world-volume theory on M2-branes probing the cone over an arbitrary Sasaki-Einstein seven-manifold. The index is expressed in terms of the cohomology groups of the cone. We match our supergravity results with known results from gauge theory. Along the way we derive the spectrum of short Kaluza-Klein multiplets on generic Sasaki-Einstein seven-manifolds.

5.319972

4.699772

6.700354

4.746254

4.688512

4.682536

4.375192

4.690662

4.445793

7.2106

4.628204

4.69216

5.479903

4.718351

4.763855

4.761607

4.737988

4.687726

4.731648

5.574582

4.591749

1910.07727

Sridip Pal

Sridip Pal, Zhengdi Sun

Tauberian-Cardy formula with spin

Multiple figures and inequalities! v2: ref updated, Eq 1.30 modified

JHEP 01 (2020) 135

10.1007/JHEP01(2020)135

null

hep-th math-ph math.MP

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

We prove a $2$ dimensional Tauberian theorem in context of $2$ dimensional conformal field theory. The asymptotic density of states with conformal weight $(h,\bar{h})\to (\infty,\infty)$ for any arbitrary spin is derived using the theorem. We further rigorously show that the error term is controlled by the twist parameter and insensitive to spin. The sensitivity of the leading piece towards spin is discussed. We identify a universal piece in microcanonical entropy when the averaging window is large. An asymptotic spectral gap on $(h,\bar{h})$ plane, hence the asymptotic twist gap is derived. We prove an universal inequality stating that in a compact unitary $2$D CFT without any conserved current $Ag\leq \frac{\pi(c-1)r^2}{24}$ is satisfied, where $g$ is the twist gap over vacuum and $A$ is the minimal "areal gap", generalizing the minimal gap in dimension to $(h',\bar{h}')$ plane and $r=\frac{4\sqrt{3}}{\pi}\simeq 2.21$. We investigate density of states in the regime where spin is parametrically larger than twist with both going to infinity. Moreover, the large central charge regime is studied. We also probe finite twist, large spin behavior of density of states.

[ { "created": "Thu, 17 Oct 2019 06:15:46 GMT", "version": "v1" }, { "created": "Tue, 14 Jan 2020 14:49:08 GMT", "version": "v2" } ]

2020-05-21

[ [ "Pal", "Sridip", "" ], [ "Sun", "Zhengdi", "" ] ]

We prove a $2$ dimensional Tauberian theorem in context of $2$ dimensional conformal field theory. The asymptotic density of states with conformal weight $(h,\bar{h})\to (\infty,\infty)$ for any arbitrary spin is derived using the theorem. We further rigorously show that the error term is controlled by the twist parameter and insensitive to spin. The sensitivity of the leading piece towards spin is discussed. We identify a universal piece in microcanonical entropy when the averaging window is large. An asymptotic spectral gap on $(h,\bar{h})$ plane, hence the asymptotic twist gap is derived. We prove an universal inequality stating that in a compact unitary $2$D CFT without any conserved current $Ag\leq \frac{\pi(c-1)r^2}{24}$ is satisfied, where $g$ is the twist gap over vacuum and $A$ is the minimal "areal gap", generalizing the minimal gap in dimension to $(h',\bar{h}')$ plane and $r=\frac{4\sqrt{3}}{\pi}\simeq 2.21$. We investigate density of states in the regime where spin is parametrically larger than twist with both going to infinity. Moreover, the large central charge regime is studied. We also probe finite twist, large spin behavior of density of states.

12.450435

13.08782

13.727031

11.448478

12.861806

13.016518

13.581232

12.806612

11.638428

14.74735

11.842071

11.781698

11.925253

11.692119

11.32066

11.941037

11.757099

11.846696

11.65493

12.32722

11.538667

hep-th/0009092

Peter Horvathy

M. Hassa\"ine and P. A. Horv\'athy

Symmetries of fluid dynamics with polytropic exponent

10 pages, LaTex, no figures. Revised version: A new proof of the Schrodinger symmetry and two more references added. To appear in Phys. Lett. A

Phys.Lett. A279 (2001) 215-222

10.1016/S0375-9601(00)00834-3

null

hep-th

null

The symmetries of the general Euler equations of fluid dynamics with polytropic exponent are determined using the Kaluza-Klein type framework of Duval et $\it{al}$. In the standard polytropic case the recent results of O'Raifeartaigh and Sreedhar are confirmed and generalized. Similar results are proved for polytropic exponent $\gamma=-1$, which corresponds to the dimensional reduction of $d$-branes. The relation between the duality transformation used in describing supernova explosion and Cosmology is explained.

[ { "created": "Tue, 12 Sep 2000 12:48:24 GMT", "version": "v1" }, { "created": "Fri, 15 Sep 2000 09:58:13 GMT", "version": "v2" }, { "created": "Fri, 29 Sep 2000 10:24:26 GMT", "version": "v3" }, { "created": "Tue, 28 Nov 2000 13:04:25 GMT", "version": "v4" }, { "created": "Tue, 19 Dec 2000 10:03:11 GMT", "version": "v5" } ]

2016-08-15

[ [ "Hassaïne", "M.", "" ], [ "Horváthy", "P. A.", "" ] ]

The symmetries of the general Euler equations of fluid dynamics with polytropic exponent are determined using the Kaluza-Klein type framework of Duval et $\it{al}$. In the standard polytropic case the recent results of O'Raifeartaigh and Sreedhar are confirmed and generalized. Similar results are proved for polytropic exponent $\gamma=-1$, which corresponds to the dimensional reduction of $d$-branes. The relation between the duality transformation used in describing supernova explosion and Cosmology is explained.

16.005241

15.33042

19.637821

15.196679

17.571611

17.66218

16.194632

15.251707

14.745729

18.486259

14.624064

13.64789

14.949942

14.589602

15.07538

14.153952

14.152521

14.640636

14.011548

14.799335

13.456862

0707.3055

Tim Jones

Ian Jack, D.R. Timothy Jones, Philipp Kant, Luminita Mihaila

The four-loop DRED gauge beta-function and fermion mass anomalous dimension for general gauge groups

44 pages, added references (v2) minor changes (v3)

JHEP 0709:058,2007

10.1088/1126-6708/2007/09/058

LTH751, TTP/07-17, SFB/CPP-07-40, NSF-KITP-07-153

hep-th

null

We present four-loop results for the gauge beta-function and the fermion mass anomalous dimension for a gauge theory with a general gauge group and a multiplet of fermions transforming according to an arbitrary representation, calculated using the dimensional reduction scheme. In the special case of a supersymmetric theory we confirm previous calculations of both the gauge beta-function and the gaugino mass beta-function.

[ { "created": "Fri, 20 Jul 2007 12:04:38 GMT", "version": "v1" }, { "created": "Fri, 27 Jul 2007 15:54:54 GMT", "version": "v2" }, { "created": "Thu, 23 Aug 2007 15:35:16 GMT", "version": "v3" } ]

2009-11-18

[ [ "Jack", "Ian", "" ], [ "Jones", "D. R. Timothy", "" ], [ "Kant", "Philipp", "" ], [ "Mihaila", "Luminita", "" ] ]

We present four-loop results for the gauge beta-function and the fermion mass anomalous dimension for a gauge theory with a general gauge group and a multiplet of fermions transforming according to an arbitrary representation, calculated using the dimensional reduction scheme. In the special case of a supersymmetric theory we confirm previous calculations of both the gauge beta-function and the gaugino mass beta-function.

6.166803

6.905278

5.793979

5.789752

5.969846

7.089175

5.830081

6.796272

5.31215

5.632644

6.186411

6.144775

5.953329

5.467514

5.709862

6.243871

5.587652

6.531906

5.679765

5.603624

6.052676

2201.10163

Michael Ponds

Models for (super)conformal higher-spin fields on curved backgrounds

PhD thesis, 302 pages. Based on arXiv:1806.06643, arXiv:1812.05331, arXiv:1902.08010, arXiv:1910.10440, arXiv:1912.00652, arXiv:2005.08657, arXiv:2011.11300, 2101.05524, arXiv:2103.11673 and arXiv:2107.12201

null

hep-th math-ph math.MP

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

This thesis is devoted to the construction of theories describing the consistent propagation of (super)conformal higher-spin fields on curved three- and four-dimensional (super)spaces. In the first half of this thesis we systematically derive models for conformal fields of arbitrary rank on various types of curved spacetimes. On generic conformally-flat backgrounds in three $(3d)$ and four $(4d)$ dimensions, we obtain closed-form expressions for the actions which are manifestly gauge and Weyl invariant. Similar results are provided for generalised conformal fields, which have higher-depth gauge transformations. In three dimensions, conformally-flat spacetimes are the most general backgrounds allowing consistent propagation. In four dimensions, it is widely expected that gauge invariance can be extended to Bach-flat backgrounds, although no complete models for spin greater than two exist. We confirm these expectations for the first time by constructing a number of complete gauge-invariant models for conformal fields with higher spin. In the second half of this thesis we employ superspace techniques to extend the above results to conformal higher-spin theories possessing off-shell supersymmetry. Several novel applications of our results are also provided. In particular, transverse projection operators are constructed in $4d$ anti-de Sitter (AdS$_4$) space, and their poles are shown to be associated with partially-massless fields. This allows us to demonstrate that on such backgrounds, the (super)conformal higher-spin kinetic operator factorises into products of second order operators. Similar conclusions are drawn in AdS$_3$ (super)space. Finally, we make use of the (super)conformal higher-spin models in $3d$ Minkowski and AdS (super)space to build topologically massive gauge theories.

[ { "created": "Tue, 25 Jan 2022 08:08:02 GMT", "version": "v1" } ]

2022-01-26

[ [ "Ponds", "Michael", "" ] ]

This thesis is devoted to the construction of theories describing the consistent propagation of (super)conformal higher-spin fields on curved three- and four-dimensional (super)spaces. In the first half of this thesis we systematically derive models for conformal fields of arbitrary rank on various types of curved spacetimes. On generic conformally-flat backgrounds in three $(3d)$ and four $(4d)$ dimensions, we obtain closed-form expressions for the actions which are manifestly gauge and Weyl invariant. Similar results are provided for generalised conformal fields, which have higher-depth gauge transformations. In three dimensions, conformally-flat spacetimes are the most general backgrounds allowing consistent propagation. In four dimensions, it is widely expected that gauge invariance can be extended to Bach-flat backgrounds, although no complete models for spin greater than two exist. We confirm these expectations for the first time by constructing a number of complete gauge-invariant models for conformal fields with higher spin. In the second half of this thesis we employ superspace techniques to extend the above results to conformal higher-spin theories possessing off-shell supersymmetry. Several novel applications of our results are also provided. In particular, transverse projection operators are constructed in $4d$ anti-de Sitter (AdS$_4$) space, and their poles are shown to be associated with partially-massless fields. This allows us to demonstrate that on such backgrounds, the (super)conformal higher-spin kinetic operator factorises into products of second order operators. Similar conclusions are drawn in AdS$_3$ (super)space. Finally, we make use of the (super)conformal higher-spin models in $3d$ Minkowski and AdS (super)space to build topologically massive gauge theories.

7.275115

7.067729

7.677009

7.085255

7.214877

6.954368

7.685448

7.089182

7.087976

8.09281

7.048253

7.0231

7.20457

7.074568

6.958207

6.905993

7.098708

7.031112

6.912169

7.321422

6.846496

0806.4348

Nele Vandersickel

David Dudal, John Gracey, Silvio Paolo Sorella, Nele Vandersickel, Henri Verschelde

A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results

38 pages, 9 figures, the content of section V has been extended and adapted

Phys.Rev.D78:065047,2008

10.1103/PhysRevD.78.065047

LTH-789

hep-th hep-lat hep-ph

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

Recent lattice data have reported an infrared suppressed, positivity violating gluon propagator which is nonvanishing at zero momentum and a ghost propagator which is no longer enhanced. This paper discusses how to obtain analytical results which are in qualitative agreement with these lattice data within the Gribov-Zwanziger framework. This framework allows one to take into account effects related to the existence of gauge copies, by restricting the domain of integration in the path integral to the Gribov region. We elaborate to great extent on a previous short paper by presenting additional results, also confirmed by the numerical simulations. A detailed discussion on the soft breaking of the BRST symmetry arising in the Gribov-Zwanziger approach is provided.

[ { "created": "Thu, 26 Jun 2008 15:43:19 GMT", "version": "v1" }, { "created": "Mon, 4 Aug 2008 14:13:25 GMT", "version": "v2" } ]

2008-11-26

[ [ "Dudal", "David", "" ], [ "Gracey", "John", "" ], [ "Sorella", "Silvio Paolo", "" ], [ "Vandersickel", "Nele", "" ], [ "Verschelde", "Henri", "" ] ]

Recent lattice data have reported an infrared suppressed, positivity violating gluon propagator which is nonvanishing at zero momentum and a ghost propagator which is no longer enhanced. This paper discusses how to obtain analytical results which are in qualitative agreement with these lattice data within the Gribov-Zwanziger framework. This framework allows one to take into account effects related to the existence of gauge copies, by restricting the domain of integration in the path integral to the Gribov region. We elaborate to great extent on a previous short paper by presenting additional results, also confirmed by the numerical simulations. A detailed discussion on the soft breaking of the BRST symmetry arising in the Gribov-Zwanziger approach is provided.

8.786834

7.634778

10.123076

7.991759

8.256728

7.833411

7.71082

7.940117

7.62391

8.5548

8.001619

8.04938

8.422126

8.02269

8.040922

7.759392

7.798662

8.143288

7.80615

8.255874

8.562186

2104.04788

Zbigniew Haba

Z. Haba

The impact of a random metric upon a diffusing particle

8 pages

null

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

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

We show that if the singularity of the quantized gravity propagator is $\vert {\bf x}\vert^{-2\gamma}$ then the mean value of the fourth power of the distance achieved in time $t$ by a diffusing particle behaves as $t^{2(1-\gamma)}$ for a small $t$.

[ { "created": "Sat, 10 Apr 2021 15:10:41 GMT", "version": "v1" }, { "created": "Fri, 21 May 2021 15:03:14 GMT", "version": "v2" } ]

2021-05-24

[ [ "Haba", "Z.", "" ] ]

We show that if the singularity of the quantized gravity propagator is $\vert {\bf x}\vert^{-2\gamma}$ then the mean value of the fourth power of the distance achieved in time $t$ by a diffusing particle behaves as $t^{2(1-\gamma)}$ for a small $t$.

11.661777

13.633928

10.788653

8.972724

10.97548

8.248311

9.166893

9.37641

10.445332

12.038703

9.507765

10.073979

10.182932

9.982739

9.269632

9.278574

9.123588

9.473487

10.530861

10.744617

9.364213

2304.04684

Juntao Wang

Wei Cui, Hongfei Shu, Wei Song, Juntao Wang

Correlation Functions in the TsT/$T{\bar T}$ Correspondence

35 pages; references added

null

hep-th

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

We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS$_3\times {\cal N}$ with NS-NS flux and a single-trace $T\bar{T}$ deformation of the symmetric orbifold CFT. We present a non-perturbative calculation of two-point correlation functions using string theory and demonstrate their consistency with those of the $T\bar{T}$ deformation. The two-point correlation function of the deformed theory on the plane, written in momentum space, is obtained from that of the undeformed theory by replacing $h$ with $h+2{\tilde \lambda\over w} p\bar p$, where $h$ is the spacetime conformal weight, $\tilde \lambda$ is a deformation parameter, $p$ and $\bar p$ are the momenta, and $w$ labels the twisted sectors in the deformed symmetric product. At $w=1$, the non-perturbative result satisfies the Callan-Symanzik equation for double-trace $T\bar T$ deformed CFT derived in \cite{Cardy:2019qao}. We also perform conformal perturbations on both the worldsheet CFT and the symmetric orbifold CFT as a sanity check. The perturbative and non-perturbative matching between results on the two sides provides further evidence of the conjectured TsT/$T\bar{T}$ correspondence.

[ { "created": "Mon, 10 Apr 2023 16:00:59 GMT", "version": "v1" }, { "created": "Wed, 10 May 2023 14:27:27 GMT", "version": "v2" } ]

2023-05-11

[ [ "Cui", "Wei", "" ], [ "Shu", "Hongfei", "" ], [ "Song", "Wei", "" ], [ "Wang", "Juntao", "" ] ]

We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS$_3\times {\cal N}$ with NS-NS flux and a single-trace $T\bar{T}$ deformation of the symmetric orbifold CFT. We present a non-perturbative calculation of two-point correlation functions using string theory and demonstrate their consistency with those of the $T\bar{T}$ deformation. The two-point correlation function of the deformed theory on the plane, written in momentum space, is obtained from that of the undeformed theory by replacing $h$ with $h+2{\tilde \lambda\over w} p\bar p$, where $h$ is the spacetime conformal weight, $\tilde \lambda$ is a deformation parameter, $p$ and $\bar p$ are the momenta, and $w$ labels the twisted sectors in the deformed symmetric product. At $w=1$, the non-perturbative result satisfies the Callan-Symanzik equation for double-trace $T\bar T$ deformed CFT derived in \cite{Cardy:2019qao}. We also perform conformal perturbations on both the worldsheet CFT and the symmetric orbifold CFT as a sanity check. The perturbative and non-perturbative matching between results on the two sides provides further evidence of the conjectured TsT/$T\bar{T}$ correspondence.

5.539929

5.256818

6.678809

5.323032

5.690426

5.34779

5.345428

5.161942

5.380177

7.182345

5.488692

5.195405

5.776827

5.287866

5.296925

5.333439

5.278203

5.227416

5.545126

5.627295

5.521448

hep-th/9201075

Saburo Higuchi o-2082

K.Amano and S.Higuchi

Topology change in ISO(2,1) Chern-Simons gravity

24 pages and 4 figures (not included)

Nucl.Phys. B377 (1992) 218-235

10.1016/0550-3213(92)90022-4

null

hep-th

null

In 2+1 dimensional gravity, a dreibein and the compatible spin connection can represent a space-time containing a closed spacelike surface $\Sigma$ only if the associated SO(2,1) bundle restricted to $\Sigma$ has the same non-triviality (Euler class) as that of the tangent bundle of $\Sigma.$ We impose this bundle condition on each external state of Witten's topology-changing amplitude. The amplitude is non-vanishing only if the combination of the space topologies satisfies a certain selection rule. We construct a family of transition paths which reproduce all the allowed combinations of genus $g \ge 2$ spaces.

[ { "created": "Thu, 30 Jan 1992 09:52:29 GMT", "version": "v1" } ]

2009-10-22

[ [ "Amano", "K.", "" ], [ "Higuchi", "S.", "" ] ]

In 2+1 dimensional gravity, a dreibein and the compatible spin connection can represent a space-time containing a closed spacelike surface $\Sigma$ only if the associated SO(2,1) bundle restricted to $\Sigma$ has the same non-triviality (Euler class) as that of the tangent bundle of $\Sigma.$ We impose this bundle condition on each external state of Witten's topology-changing amplitude. The amplitude is non-vanishing only if the combination of the space topologies satisfies a certain selection rule. We construct a family of transition paths which reproduce all the allowed combinations of genus $g \ge 2$ spaces.

12.818807

13.893715

12.322754

11.915008

12.35494

13.631849

14.031751

11.920966

12.284078

14.388981

13.172803

12.201569

12.233403

11.908973

11.888067

12.3404

12.26848

12.043283

11.827522

11.720604

11.884678

hep-th/9402044

Nathan Seiberg

Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories

19 pages, RU-94-18

Phys.Rev.D49:6857-6863,1994

10.1103/PhysRevD.49.6857

null

hep-th hep-ph

null

We consider four dimensional quantum field theories which have a continuous manifold of inequivalent exact ground states -- a moduli space of vacua. Classically, the singular points on the moduli space are associated with extra massless particles. Quantum mechanically these singularities can be smoothed out. Alternatively, new massless states appear there. These may be the elementary massless particles or new massless bound states.

[ { "created": "Tue, 8 Feb 1994 19:34:40 GMT", "version": "v1" } ]

2009-09-15

[ [ "Seiberg", "Nathan", "" ] ]

We consider four dimensional quantum field theories which have a continuous manifold of inequivalent exact ground states -- a moduli space of vacua. Classically, the singular points on the moduli space are associated with extra massless particles. Quantum mechanically these singularities can be smoothed out. Alternatively, new massless states appear there. These may be the elementary massless particles or new massless bound states.

10.103611

9.485542

11.766267

8.92383

10.025089

9.594003

9.955029

8.485771

8.497429

12.865414

9.263446

8.93374

10.862449

9.089879

9.065224

8.820543

8.72344

9.018651

9.13342

10.267489

8.742008

2308.04092

Davoud Kamani

Niloufar Barghi-Janyar and Davoud Kamani

Pair Production of the Open Superstrings from the Parallel-dressed D3-branes in the Compact Spacetime

14 pages, LaTeX2e, no figure

Eur. Phys. J. C (2023) 83:716

10.1140/epjc/s10052-023-11890-4

null

hep-th

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

We employ the boundary state formalism to compute the pair creation rate of the open superstrings from the interaction of two parallel D3-branes. The branes live in the partially compact spacetime. In addition, they have been dressed with the internal gauge potentials and the Kalb-Ramond field.

[ { "created": "Tue, 8 Aug 2023 07:16:19 GMT", "version": "v1" } ]

2023-08-14

[ [ "Barghi-Janyar", "Niloufar", "" ], [ "Kamani", "Davoud", "" ] ]

We employ the boundary state formalism to compute the pair creation rate of the open superstrings from the interaction of two parallel D3-branes. The branes live in the partially compact spacetime. In addition, they have been dressed with the internal gauge potentials and the Kalb-Ramond field.

17.02223

8.729158

14.078949

9.685306

10.973973

10.219932

9.507337

9.576249

10.103674

16.050522

9.867124

11.925144

13.82146

12.824022

12.503339

12.524969

11.844861

12.462551

12.545772

14.128457

12.605474

hep-th/0409241

Axel Krause

Axel Krause and Siew-Phang Ng

Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

31 pages, 9 figures; added references, clarified a few minor points

Int.J.Mod.Phys.A21:1091-1122,2006

10.1142/S0217751X0602516X

UMD-PP-05-019, BA-04-10

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

null

The recently proposed infrared modification of gravity through the introduction of a ghost scalar field results in a number of interesting cosmological and phenomenological implications. In this paper, we derive the exact cosmological solutions for a number of scenarios where at late stages, the ghost behaves like dark matter, or dark energy. The full solutions give valuable information about the non-linear regime beyond the asymptotic first order analysis presented in the literature. The generic feature is that these ghost cosmologies give rise to smooth transitions between radiation dominated phases (or more general power-law expansions) at early epochs and ghost dark matter resp. ghost dark energy dominated late epochs. The current age of our universe places us right at the non-linear transition phase. By studying the evolution backwards in time, we find that the dominance of the ghost over ordinary baryonic matter and radiative contributions persists back to the earliest times such that the Friedmann-Robertson-Walker geometry is dictated to a good approximation by the ghost alone. We also find that the Jeans instability occurs in the ghost dark energy scenario at late times, while it is absent in the ghost dark matter scenario.

[ { "created": "Fri, 24 Sep 2004 19:57:39 GMT", "version": "v1" }, { "created": "Thu, 30 Sep 2004 01:19:26 GMT", "version": "v2" } ]

2011-05-12

[ [ "Krause", "Axel", "" ], [ "Ng", "Siew-Phang", "" ] ]

The recently proposed infrared modification of gravity through the introduction of a ghost scalar field results in a number of interesting cosmological and phenomenological implications. In this paper, we derive the exact cosmological solutions for a number of scenarios where at late stages, the ghost behaves like dark matter, or dark energy. The full solutions give valuable information about the non-linear regime beyond the asymptotic first order analysis presented in the literature. The generic feature is that these ghost cosmologies give rise to smooth transitions between radiation dominated phases (or more general power-law expansions) at early epochs and ghost dark matter resp. ghost dark energy dominated late epochs. The current age of our universe places us right at the non-linear transition phase. By studying the evolution backwards in time, we find that the dominance of the ghost over ordinary baryonic matter and radiative contributions persists back to the earliest times such that the Friedmann-Robertson-Walker geometry is dictated to a good approximation by the ghost alone. We also find that the Jeans instability occurs in the ghost dark energy scenario at late times, while it is absent in the ghost dark matter scenario.

10.727918

12.0535

10.649116

10.210939

12.032199

11.532472

11.162639

11.009451

10.545267

11.084774

10.696312

10.344295

10.526174

10.247527

10.584402

10.381263

10.417102

10.686748

10.316601

10.422018

10.641281

hep-th/9603029

Me

Adriano Di Giacomo

Mechanisms of colour confinement

30 pages. Lectures delivered at the CXXX Course of the International School of Physics E. Fermi on ''SELECTED TOPICS IN NONPERTURBATIVE QCD''. Varenna 27 June - 7 July 1995

null

hep-th

null

The dual superconductivity of QCD vacuum as a mechanism for colour confinement is reviewed. Recent evidence from lattice of monopole condensation is presented.

[ { "created": "Wed, 6 Mar 1996 13:03:07 GMT", "version": "v1" } ]

2007-05-23

[ [ "Di Giacomo", "Adriano", "" ] ]

The dual superconductivity of QCD vacuum as a mechanism for colour confinement is reviewed. Recent evidence from lattice of monopole condensation is presented.

22.658794

9.8016

9.379264

10.16897

10.298658

13.996768

9.644398

9.988941

8.700066

11.850623

10.132212

10.946499

11.036753

10.560396

11.423766

11.435066

10.612086

12.05244

10.524881

9.984239

12.211714

hep-th/0703040

Kazuya Koyama

Kazuya Koyama and David Wands

Ekpyrotic collapse with multiple fields

13 pages, 1 figure

JCAP 0704:008,2007

10.1088/1475-7516/2007/04/008

null

hep-th astro-ph

null

A scale invariant spectrum of isocurvature perturbations is generated during collapse in the scaling solution in models where two or more fields have steep negative exponential potentials. The scale invariance of the spectrum is realised by a tachyonic instability in the isocurvature field. We show that this instability is due to the fact that the scaling solution is a saddle point in the phase space. The late time attractor is identified with a single field dominated ekpyrotic collapse in which a steep blue spectrum for isocurvature perturbations is found. Although quantum fluctuations do not necessarily to disrupt the classical solution, an additional preceding stage is required to establish classical homogeneity.

[ { "created": "Mon, 5 Mar 2007 13:20:09 GMT", "version": "v1" }, { "created": "Wed, 14 Mar 2007 17:08:54 GMT", "version": "v2" } ]

2010-10-27

[ [ "Koyama", "Kazuya", "" ], [ "Wands", "David", "" ] ]

A scale invariant spectrum of isocurvature perturbations is generated during collapse in the scaling solution in models where two or more fields have steep negative exponential potentials. The scale invariance of the spectrum is realised by a tachyonic instability in the isocurvature field. We show that this instability is due to the fact that the scaling solution is a saddle point in the phase space. The late time attractor is identified with a single field dominated ekpyrotic collapse in which a steep blue spectrum for isocurvature perturbations is found. Although quantum fluctuations do not necessarily to disrupt the classical solution, an additional preceding stage is required to establish classical homogeneity.

12.07518

10.822939

11.562728

11.118357

11.850128

11.751666

12.430487

10.945023

11.23003

11.77616

10.431541

11.317545

11.202746

10.907642

11.097701

11.453101

11.072774

11.573904

10.687204

11.734078

11.059258

hep-th/0612229

Arutyunov Gleb E

Gleb Arutyunov, Sergey Frolov, Marija Zamaklar

The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring

40 pages, v2: derivation of symmetries from the S-matrix and the Hopf algebra interpretation added, typos corrected, references added

JHEP 0704:002,2007

10.1088/1126-6708/2007/04/002

AEI-2006-099, ITP-UU-06-58, SPIN-06-48, TCDMATH 06-18

hep-th nlin.SI

null

We discuss the Zamolodchikov-Faddeev algebra for the superstring sigma-model on AdS_5 x S^5. We find the canonical su(2|2)^2 invariant S-matrix satisfying the standard Yang-Baxter and crossing symmetry equations. Its near-plane-wave expansion matches exactly the leading order term recently obtained by the direct perturbative computation. We also show that the S-matrix obtained by Beisert in the gauge theory framework does not satisfy the standard Yang-Baxter equation, and, as a consequence, the corresponding ZF algebra is twisted. The S-matrices in gauge and string theories however are physically equivalent and related by a non-local transformation of the basis states which is explicitly constructed.

[ { "created": "Wed, 20 Dec 2006 20:39:20 GMT", "version": "v1" }, { "created": "Tue, 23 Jan 2007 15:40:25 GMT", "version": "v2" }, { "created": "Tue, 20 Mar 2007 17:16:45 GMT", "version": "v3" } ]

2010-10-27

[ [ "Arutyunov", "Gleb", "" ], [ "Frolov", "Sergey", "" ], [ "Zamaklar", "Marija", "" ] ]

We discuss the Zamolodchikov-Faddeev algebra for the superstring sigma-model on AdS_5 x S^5. We find the canonical su(2|2)^2 invariant S-matrix satisfying the standard Yang-Baxter and crossing symmetry equations. Its near-plane-wave expansion matches exactly the leading order term recently obtained by the direct perturbative computation. We also show that the S-matrix obtained by Beisert in the gauge theory framework does not satisfy the standard Yang-Baxter equation, and, as a consequence, the corresponding ZF algebra is twisted. The S-matrices in gauge and string theories however are physically equivalent and related by a non-local transformation of the basis states which is explicitly constructed.

7.577981

7.165212

8.785131

6.968878

6.808931

7.075134

7.346217

7.016416

7.260538

9.121171

6.97211

7.223423

7.611493

7.103459

7.035655

6.886575

7.157346

6.830964

7.06878

7.747674

7.165411

2107.12796

Loriano Bonora

L. Bonora and R.P. Malik

BRST and superfield formalism. A review

56 pages, typos corrected, bibliography completed, to appear in "Universe"

Universe 2021, 7, 280

10.3390/universe708028

SISSA 17/2021/FISI

hep-th

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

This article, which is a review with substantial original material, is meant to offer a comprehensive description of the superfield representations of the BRST and anti-BRST algebras and their applications to some field-theoretic topics. After a review of the superfield formalism for gauge theories we present the same formalism for gerbes and diffeomorphism invariant theories. The application to diffeomorphisms leads, in particular, to a horizontal Riemannian geometry in the superspace. We then illustrate the application to the description of consistent gauge anomalies and Wess-Zumino terms, for which the formalism seems to be particularly tailor-made. The next subject covered is the higher spin YM-like theories and their anomalies. Finally, we show that the BRST superfield formalism applies as well to the N=1 super-YM theories formulated in the supersymmetric superspace, for the two formalisms go along with each other very well.

[ { "created": "Tue, 27 Jul 2021 13:11:17 GMT", "version": "v1" }, { "created": "Wed, 28 Jul 2021 13:49:37 GMT", "version": "v2" }, { "created": "Mon, 9 Aug 2021 17:05:13 GMT", "version": "v3" } ]

2021-08-12

[ [ "Bonora", "L.", "" ], [ "Malik", "R. P.", "" ] ]

This article, which is a review with substantial original material, is meant to offer a comprehensive description of the superfield representations of the BRST and anti-BRST algebras and their applications to some field-theoretic topics. After a review of the superfield formalism for gauge theories we present the same formalism for gerbes and diffeomorphism invariant theories. The application to diffeomorphisms leads, in particular, to a horizontal Riemannian geometry in the superspace. We then illustrate the application to the description of consistent gauge anomalies and Wess-Zumino terms, for which the formalism seems to be particularly tailor-made. The next subject covered is the higher spin YM-like theories and their anomalies. Finally, we show that the BRST superfield formalism applies as well to the N=1 super-YM theories formulated in the supersymmetric superspace, for the two formalisms go along with each other very well.

10.735796

10.089245

10.628839

10.228322

9.889729

10.055831

10.626823

10.087804

9.535345

11.575485

10.309576

9.828428

10.240869

9.939027

9.923824

10.029137

10.113722

10.399979

9.976027

10.299599

9.841017

0710.3040

Christian Brouder

Christian Brouder and Michael Duetsch

Relating on-shell and off-shell formalism in perturbative quantum field theory

The case of gauge fields was added. 16 pages

J.Math.Phys.49:052303,2008

10.1063/1.2918137

null

hep-th

null

In the on-shell formalism (mostly used in perturbative quantum field theory) the entries of the time ordered product T are on-shell fields (i.e. the basic fields satisfy the free field equations). With that, (multi)linearity of T is incompatible with the Action Ward identity. This can be circumvented by using the off-shell formalism in which the entries of T are off-shell fields. To relate on- and off-shell formalism correctly, a map sigma from on-shell fields to off-shell fields was introduced axiomatically by Duetsch and Fredenhagen. In that paper it was shown that, in the case of one real scalar field in N=4 dimensional Minkowski space, these axioms have a unique solution. However, this solution was given there only recursively. We solve this recurrence relation and give a fully explicit expression for sigma in the cases of the scalar, Dirac and gauge fields for arbitrary values of the dimension N.

[ { "created": "Tue, 16 Oct 2007 13:00:56 GMT", "version": "v1" }, { "created": "Fri, 22 Feb 2008 10:40:42 GMT", "version": "v2" } ]

2008-11-26

[ [ "Brouder", "Christian", "" ], [ "Duetsch", "Michael", "" ] ]

In the on-shell formalism (mostly used in perturbative quantum field theory) the entries of the time ordered product T are on-shell fields (i.e. the basic fields satisfy the free field equations). With that, (multi)linearity of T is incompatible with the Action Ward identity. This can be circumvented by using the off-shell formalism in which the entries of T are off-shell fields. To relate on- and off-shell formalism correctly, a map sigma from on-shell fields to off-shell fields was introduced axiomatically by Duetsch and Fredenhagen. In that paper it was shown that, in the case of one real scalar field in N=4 dimensional Minkowski space, these axioms have a unique solution. However, this solution was given there only recursively. We solve this recurrence relation and give a fully explicit expression for sigma in the cases of the scalar, Dirac and gauge fields for arbitrary values of the dimension N.

9.295723

8.973221

9.103868

8.403955

9.604686

9.711287

9.841064

9.330957

8.946563

9.811302

8.620017

8.338984

8.463505

8.317756

8.516673

8.484178

8.314051

8.20339

8.167029

8.394151

8.254188

hep-th/9610082

Gabriele Ferretti

Ulf H. Danielsson and Gabriele Ferretti

The Heterotic Life of the D-particle

20 pages, LaTeX

Int.J.Mod.Phys. A12 (1997) 4581-4596

10.1142/S0217751X97002474

UUITP-24/96

hep-th

null

We study the dynamics of D-particles (D0-branes) in type I' string theory and of the corresponding states in the dual heterotic description. We account for the presence of the two 8-orientifolds (8 dimensional orientifold planes) and sixteen D8-branes by deriving the appropriate quantum mechanical system. We recover the familiar condition of eight D8-branes for each 8-orientifold. We investigate bound states and compute the phase shifts for the scattering of such states and find that they agree with the expectations from the supergravity action. In the type I' regime we study the motion transverse to the 8-orientifold and find an interesting cancellation effect.

[ { "created": "Fri, 11 Oct 1996 12:52:42 GMT", "version": "v1" } ]

2009-10-30

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

We study the dynamics of D-particles (D0-branes) in type I' string theory and of the corresponding states in the dual heterotic description. We account for the presence of the two 8-orientifolds (8 dimensional orientifold planes) and sixteen D8-branes by deriving the appropriate quantum mechanical system. We recover the familiar condition of eight D8-branes for each 8-orientifold. We investigate bound states and compute the phase shifts for the scattering of such states and find that they agree with the expectations from the supergravity action. In the type I' regime we study the motion transverse to the 8-orientifold and find an interesting cancellation effect.

10.766142

10.809712

12.307729

10.85285

10.619299

10.811323

10.763987

10.459748

10.568988

12.923233

10.594827

10.482929

11.045753

10.330305

10.424751

10.356458

10.456228

10.513169

10.087191

11.143637

10.196173

hep-th/9712004

Paul K. Townsend

P.K. Townsend

M-theory from its superalgebra

43 pp. Cargese lectures 1997. Minor errors corrected, as in previous revisions

null

hep-th

null

These lectures explore what can be learnt about M-theory from its superalgebra. The first three lectures introduce the 'basic' branes of M-theory, and type II superstring theories, and show how the duality relations between them are encoded in the respective spacetime superalgebras. The fourth lecture introduces brane intersections and explains how they are encoded in the worldvolume superalgebras.

[ { "created": "Mon, 1 Dec 1997 17:13:12 GMT", "version": "v1" }, { "created": "Tue, 2 Dec 1997 16:49:13 GMT", "version": "v2" }, { "created": "Fri, 9 Jan 1998 14:15:55 GMT", "version": "v3" }, { "created": "Thu, 26 Feb 1998 00:29:19 GMT", "version": "v4" } ]

2007-05-23

[ [ "Townsend", "P. K.", "" ] ]

These lectures explore what can be learnt about M-theory from its superalgebra. The first three lectures introduce the 'basic' branes of M-theory, and type II superstring theories, and show how the duality relations between them are encoded in the respective spacetime superalgebras. The fourth lecture introduces brane intersections and explains how they are encoded in the worldvolume superalgebras.

7.545462

7.131998

9.335873

6.757215

6.827196

7.141901

7.190671

6.854521

6.89044

8.873059

6.825177

6.553752

7.44664

6.532637

6.842479

6.631753

6.807464

6.478426

6.594605

7.388453

6.4449

1610.00475

Hideo Suganuma

Kohei Matsumoto, Yuya Nakagawa and Hideo Suganuma (Kyoto U.)

A Study of the H-dibaryon in Holographic QCD

5 pages, 2 figures

null

10.7566/JPSCP.13.020014

null

hep-th hep-ph

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

We study the H-dibaryon (uuddss) in holographic QCD for the first time. Holographic QCD is derived from a QCD-equivalent D-brane system ($S^1$-compactified D4/D8/$\overline{\rm D8}$) in the superstring theory via the gauge/gravity correspondence. In holographic QCD, all baryons appear as topological chiral solitons of Nambu-Goldstone bosons and (axial) vector mesons. In this framework, the H-dibaryon can be described as an SO(3)-type hedgehog state. We present the formalism of the H-dibaryon in holographic QCD, and perform the calculation to investigate its properties in the chiral limit.

[ { "created": "Mon, 3 Oct 2016 10:14:27 GMT", "version": "v1" }, { "created": "Wed, 19 Oct 2016 17:13:31 GMT", "version": "v2" }, { "created": "Thu, 3 Nov 2016 17:10:25 GMT", "version": "v3" }, { "created": "Thu, 17 Nov 2016 22:50:53 GMT", "version": "v4" } ]

2017-03-08

[ [ "Matsumoto", "Kohei", "", "Kyoto U." ], [ "Nakagawa", "Yuya", "", "Kyoto U." ], [ "Suganuma", "Hideo", "", "Kyoto U." ] ]

We study the H-dibaryon (uuddss) in holographic QCD for the first time. Holographic QCD is derived from a QCD-equivalent D-brane system ($S^1$-compactified D4/D8/$\overline{\rm D8}$) in the superstring theory via the gauge/gravity correspondence. In holographic QCD, all baryons appear as topological chiral solitons of Nambu-Goldstone bosons and (axial) vector mesons. In this framework, the H-dibaryon can be described as an SO(3)-type hedgehog state. We present the formalism of the H-dibaryon in holographic QCD, and perform the calculation to investigate its properties in the chiral limit.

4.877288

4.339095

5.548502

4.659409

5.399395

4.474368

4.338802

4.276155

4.737007

5.8036

4.492972

4.851179

5.096166

4.681686

4.930355

5.101746

4.740517

4.612625

4.798184

4.891105

4.536869

hep-th/0501017

Sebastian Nowak

Lorentz invariance of scalar field action on $\kappa$-Minkowski space-time

11 pages

null

hep-th

null

We construct field theory on noncommutative $\kappa$-Minkowski space-time. Having the Lorentz action on the noncommutative space-time coordinates we show that the field lagrangian is invariant. We show that noncommutativity requires replacing the Leibnitz rule with the coproduct one.

[ { "created": "Tue, 4 Jan 2005 15:09:16 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nowak", "Sebastian", "" ] ]

We construct field theory on noncommutative $\kappa$-Minkowski space-time. Having the Lorentz action on the noncommutative space-time coordinates we show that the field lagrangian is invariant. We show that noncommutativity requires replacing the Leibnitz rule with the coproduct one.

9.641271

8.143637

8.092692

7.948199

7.768295

7.913377

8.316697

7.372915

7.372418

9.167743

8.228836

8.402036

8.235477

8.079355

8.585148

8.701829

8.105007

8.261007

8.13677

8.763393

8.305659

2106.04535

David Rosa Junior

D. R. Junior, L. E. Oxman, and G. M. Sim\~oes

From center-vortex ensembles to the confining flux tube

null

Universe 2021, 7(8), 253

10.3390/universe7080253

null

hep-th

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

In this review, we discuss the present status of the description of confining flux tubes in SU(N) pure Yang-Mills theory in terms of ensembles of percolating center vortices. This is based on three main pillars: modelling in the continuum the ensemble components detected in the lattice, the derivation of effective field representations, and contrasting the associated properties with Monte Carlo lattice results. The integration of the present knowledge about these points is essential to get closer to a unified physical picture for confinement. Here, we shall emphasize the last advances, which point to the importance of including the nonoriented center-vortex component and non-Abelian degrees when modelling the center-vortex ensemble measure. These inputs are responsible for the emergence of topological solitons and the possibility of accommodating the asymptotic scaling properties of the confining string tension.

[ { "created": "Tue, 8 Jun 2021 17:18:35 GMT", "version": "v1" }, { "created": "Tue, 10 Aug 2021 12:26:09 GMT", "version": "v2" } ]

2021-08-11

[ [ "Junior", "D. R.", "" ], [ "Oxman", "L. E.", "" ], [ "Simões", "G. M.", "" ] ]

In this review, we discuss the present status of the description of confining flux tubes in SU(N) pure Yang-Mills theory in terms of ensembles of percolating center vortices. This is based on three main pillars: modelling in the continuum the ensemble components detected in the lattice, the derivation of effective field representations, and contrasting the associated properties with Monte Carlo lattice results. The integration of the present knowledge about these points is essential to get closer to a unified physical picture for confinement. Here, we shall emphasize the last advances, which point to the importance of including the nonoriented center-vortex component and non-Abelian degrees when modelling the center-vortex ensemble measure. These inputs are responsible for the emergence of topological solitons and the possibility of accommodating the asymptotic scaling properties of the confining string tension.

16.659695

18.195473

17.76255

15.781316

15.856438

17.142345

17.221737

15.459038

16.475475

17.736406

15.792879

14.790855

15.875521

15.631377

15.223486

14.988997

15.804752

15.053591

15.231897

16.235886

14.775681

0810.4519

Amihay Hanany

Davide Forcella, Amihay Hanany, Alberto Zaffaroni

Master Space, Hilbert Series and Seiberg Duality

32 pages, 7 figures, 7 tables; minor corrections

JHEP 0907:018,2009

10.1088/1126-6708/2009/07/018

Bicocca-FT-08-16, CERN-PH-TH/2008-200, Imperial/TP/08/AH/09

hep-th

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

We analyze the action of Toric (Seiberg) duality on the combined mesonic and baryonic moduli space of quiver gauge theories obtained from D3 branes at Calabi-Yau singularities. We analyze in particular the structure of the master space, the complete moduli space for one brane, for different toric phases of a given singularity. We show that the Hilbert Series for the largest component of the master space of different phases is the same, when refined with all the non anomalous charges. This reflects the fact that the quiver gauge theories associated with different phases are related by Seiberg duality when the number of branes is greater than one.

[ { "created": "Fri, 24 Oct 2008 18:25:39 GMT", "version": "v1" }, { "created": "Wed, 29 Apr 2009 14:17:32 GMT", "version": "v2" } ]

2009-07-22

[ [ "Forcella", "Davide", "" ], [ "Hanany", "Amihay", "" ], [ "Zaffaroni", "Alberto", "" ] ]

We analyze the action of Toric (Seiberg) duality on the combined mesonic and baryonic moduli space of quiver gauge theories obtained from D3 branes at Calabi-Yau singularities. We analyze in particular the structure of the master space, the complete moduli space for one brane, for different toric phases of a given singularity. We show that the Hilbert Series for the largest component of the master space of different phases is the same, when refined with all the non anomalous charges. This reflects the fact that the quiver gauge theories associated with different phases are related by Seiberg duality when the number of branes is greater than one.

7.681408

6.573418

8.615005

7.015014

7.242898

6.701041

7.078815

7.442318

6.757473

8.038265

6.633536

7.04481

7.798748

7.111162

7.000619

7.180061

7.141898

7.198273

7.193418

7.410151

6.93461

2007.10367

Daniel Grumiller

C. Ecker, D. Grumiller, H. Soltanpanahi and P. Stanzer

QNEC2 in deformed holographic CFTs

55pp, 18 figs; v2: added reference; v3: major revision: added clarifying remarks, corrected critical exponent in section 4, and added table 1 with data showing the universality of the critical exponent (4.6)

null

10.1007/JHEP03(2021)213

TUW-20-01

hep-th gr-qc

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

We use the quantum null energy condition in strongly coupled two-dimensional field theories (QNEC2) as diagnostic tool to study a variety of phase structures, including crossover, second and first order phase transitions. We find a universal QNEC2 constraint for first order phase transitions with kinked entanglement entropy and discuss in general the relation between the QNEC2-inequality and monotonicity of the Casini-Huerta c-function. We then focus on a specific example, the holographic dual of which is modelled by three-dimensional Einstein gravity plus a massive scalar field with one free parameter in the self-interaction potential. We study translation invariant stationary states dual to domain walls and black branes. Depending on the value of the free parameter we find crossover, second and first order phase transitions between such states, and the c-function either flows to zero or to a finite value in the infrared. Strikingly, evaluating QNEC2 for ground state solutions allows to predict the existence of phase transitions at finite temperature.

[ { "created": "Mon, 20 Jul 2020 18:00:27 GMT", "version": "v1" }, { "created": "Thu, 30 Jul 2020 07:08:49 GMT", "version": "v2" }, { "created": "Fri, 19 Feb 2021 08:30:00 GMT", "version": "v3" } ]

2021-04-07

[ [ "Ecker", "C.", "" ], [ "Grumiller", "D.", "" ], [ "Soltanpanahi", "H.", "" ], [ "Stanzer", "P.", "" ] ]

We use the quantum null energy condition in strongly coupled two-dimensional field theories (QNEC2) as diagnostic tool to study a variety of phase structures, including crossover, second and first order phase transitions. We find a universal QNEC2 constraint for first order phase transitions with kinked entanglement entropy and discuss in general the relation between the QNEC2-inequality and monotonicity of the Casini-Huerta c-function. We then focus on a specific example, the holographic dual of which is modelled by three-dimensional Einstein gravity plus a massive scalar field with one free parameter in the self-interaction potential. We study translation invariant stationary states dual to domain walls and black branes. Depending on the value of the free parameter we find crossover, second and first order phase transitions between such states, and the c-function either flows to zero or to a finite value in the infrared. Strikingly, evaluating QNEC2 for ground state solutions allows to predict the existence of phase transitions at finite temperature.

10.299803

9.450526

11.809011

9.30719

10.589051

9.981409

9.963614

9.307788

9.387266

12.404541

9.226568

9.357861

10.376434

9.813986

9.573863

9.28871

9.317835

9.527379

9.406226

10.911481

9.768118

1906.05501

Hayato Hirai

Shrinking of Operators in Quantum Error Correction and AdS/CFT

40 pages, 1 figure, v2: published version

null

10.1007/JHEP12(2019)128

OU-HET-1020

hep-th quant-ph

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

We first show that a class of operators acting on a given bipartite pure state on $\mathcal{H}_{A}\otimes\mathcal{H}_{B}$ can shrink its supports on $\mathcal{H}_{A}\otimes\mathcal{H}_{B}$ to only $\mathcal{H}_{A}$ or $\mathcal{H}_{B}$ while keeping its mappings. Using this result, we show how to systematically construct the decoders of the quantum error-correcting codes against erasure errors. The implications of the results for the operator dictionary in the AdS/CFT correspondence are also discussed. The "subalgebra code with complementary recovery" introduced in the recent work of Harlow is a quantum error-correcting code that shares many common features with the AdS/CFT correspondence. We consider it under the restriction of the bulk (logical) Hilbert space to a subspace that generally has no tensor factorization into subsystems. In this code, the central operators of the reconstructed algebra on the boundary subregion can emerge as a consequence of the restriction of the bulk Hilbert space. Finally, we show a theorem in this code which implies the validity of not only the entanglement wedge reconstruction but also its converse statement with the central operators.

[ { "created": "Thu, 13 Jun 2019 06:32:39 GMT", "version": "v1" }, { "created": "Thu, 27 Feb 2020 09:00:03 GMT", "version": "v2" } ]

2020-02-28

[ [ "Hirai", "Hayato", "" ] ]

We first show that a class of operators acting on a given bipartite pure state on $\mathcal{H}_{A}\otimes\mathcal{H}_{B}$ can shrink its supports on $\mathcal{H}_{A}\otimes\mathcal{H}_{B}$ to only $\mathcal{H}_{A}$ or $\mathcal{H}_{B}$ while keeping its mappings. Using this result, we show how to systematically construct the decoders of the quantum error-correcting codes against erasure errors. The implications of the results for the operator dictionary in the AdS/CFT correspondence are also discussed. The "subalgebra code with complementary recovery" introduced in the recent work of Harlow is a quantum error-correcting code that shares many common features with the AdS/CFT correspondence. We consider it under the restriction of the bulk (logical) Hilbert space to a subspace that generally has no tensor factorization into subsystems. In this code, the central operators of the reconstructed algebra on the boundary subregion can emerge as a consequence of the restriction of the bulk Hilbert space. Finally, we show a theorem in this code which implies the validity of not only the entanglement wedge reconstruction but also its converse statement with the central operators.

8.416545

8.716345

8.796268

7.919236

7.964967

8.571171

8.372376

8.339732

8.298148

9.053307

7.623577

7.874419

7.981787

7.723955

7.917578

8.148372

7.837578

7.828888

7.921126

8.302927

8.026995

2311.11671

Mohammad Naghdi

M. Naghdi

Higgs-like (pseudo)Scalars in AdS$_4$, Marginal and Irrelevant Deformations in CFT_3 and Instantons on S^3

27 Pages, Minor changes, Typos fixed

Chin. Phys. C 48, 043104 (2024)

10.1088/1674-1137/ad205f

null

hep-th gr-qc

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

With a 4-form ansatz of 11-dimensional supergravity over non-dynamical AdS$_4 \times S^7/Z_k$ background, with the internal space as a $S^1$ Hopf fibration on CP$^3$, we get a consistent truncation. The (pseudo)scalars, in the resulting scalar equations in Euclidean AdS_4 space, may be viewed as arising from (anti)M-branes wrapping around internal directions in the (Wick-rotated) skew-whiffed M2-branes background (as the resulting theory is for anti-M2-branes) and so, realizing the modes after swapping the three fundamental representations $8_s, 8_c, 8_v$ of SO(8). Taking the backreaction on the external and internal spaces, we get massless and massive modes, corresponding to exactly marginal and marginally irrelevant deformations on the boundary CFT$_3$, and write a closed solution for the bulk equation and compute its correction to the background action. Next, considering the Higgs-like (breathing) mode $m^2=18$, having all supersymmetries, parity and scale-invariance broken, by solving the associated bulk equation with mathematical methods, especially the Adomian decomposition method, and analyzing the behavior near the boundary of the solutions, we realize the boundary duals in SU(4) x U(1)-singlet sectors of the ABJM model. Then, introducing new dual deformation $\Delta_+$ = 3, 6 operators made of bi-fundamental scalars, fermions and U(1) gauge fields, we obtain SO(4)-invariant solutions as small instantons on a three-sphere with radius at infinity, which actually correspond to collapsing bulk bubbles leading to big-crunch singularities.

[ { "created": "Mon, 20 Nov 2023 11:11:59 GMT", "version": "v1" }, { "created": "Fri, 5 Jan 2024 15:17:25 GMT", "version": "v2" } ]

2024-03-18

[ [ "Naghdi", "M.", "" ] ]

With a 4-form ansatz of 11-dimensional supergravity over non-dynamical AdS$_4 \times S^7/Z_k$ background, with the internal space as a $S^1$ Hopf fibration on CP$^3$, we get a consistent truncation. The (pseudo)scalars, in the resulting scalar equations in Euclidean AdS_4 space, may be viewed as arising from (anti)M-branes wrapping around internal directions in the (Wick-rotated) skew-whiffed M2-branes background (as the resulting theory is for anti-M2-branes) and so, realizing the modes after swapping the three fundamental representations $8_s, 8_c, 8_v$ of SO(8). Taking the backreaction on the external and internal spaces, we get massless and massive modes, corresponding to exactly marginal and marginally irrelevant deformations on the boundary CFT$_3$, and write a closed solution for the bulk equation and compute its correction to the background action. Next, considering the Higgs-like (breathing) mode $m^2=18$, having all supersymmetries, parity and scale-invariance broken, by solving the associated bulk equation with mathematical methods, especially the Adomian decomposition method, and analyzing the behavior near the boundary of the solutions, we realize the boundary duals in SU(4) x U(1)-singlet sectors of the ABJM model. Then, introducing new dual deformation $\Delta_+$ = 3, 6 operators made of bi-fundamental scalars, fermions and U(1) gauge fields, we obtain SO(4)-invariant solutions as small instantons on a three-sphere with radius at infinity, which actually correspond to collapsing bulk bubbles leading to big-crunch singularities.

16.530815

15.140141

18.676123

14.676308

16.356726

15.182037

15.432137

16.194658

16.00185

19.518385

15.248885

15.294876

16.623823

15.223112

15.139491

15.641133

16.112953

15.660082

15.444114

16.122841

15.284345

hep-th/9311142

Andrei Mironov

A.Morozov

Bosonization of Coordinate Ring of $U_q(SL(N))$. The Cases of $N=2$ and $N=3$

ITEP-M-7/93 (11 pages)

JETP Lett. 60 (1994) 225-234

null

hep-th

null

Non-abelian coordinate ring of $U_q(SL(N))$ (quantum deformation of the algebra of functions) for $N=2,3$ is represented in terms of conventional creation and annihilation operators. This allows to construct explicitly representations of this algebra, which were earlier described in somewhat more abstract algebraic fashion. Generalizations to $N>3$ and Kac-Moody algebras are not discussed but look straightforward.

[ { "created": "Tue, 23 Nov 1993 19:17:15 GMT", "version": "v1" } ]

2007-05-23

[ [ "Morozov", "A.", "" ] ]

Non-abelian coordinate ring of $U_q(SL(N))$ (quantum deformation of the algebra of functions) for $N=2,3$ is represented in terms of conventional creation and annihilation operators. This allows to construct explicitly representations of this algebra, which were earlier described in somewhat more abstract algebraic fashion. Generalizations to $N>3$ and Kac-Moody algebras are not discussed but look straightforward.

11.413513

9.666105

11.097138

9.519442

9.88554

10.292647

9.950475

9.368155

9.104868

11.857773

9.169732

9.312249

10.619021

8.979669

9.281997

9.308195

9.223504

8.943523

9.273461

10.48054

9.385986

hep-th/0101227

Jens Mund

The Bisognano-Wichmann Theorem for Massive Theories

16 pages; improved and corrected formulations

Annales Henri Poincare 2 (2001) 907-926

10.1007/s00023-001-8598-x

null

hep-th math-ph math.MP

null

The geometric action of modular groups for wedge regions (Bisognano-Wichmann property) is derived from the principles of local quantum physics for a large class of Poincare covariant models in d=4. As a consequence, the CPT theorem holds for this class. The models must have a complete interpretation in terms of massive particles. The corresponding charges need not be localizable in compact regions: The most general case is admitted, namely localization in spacelike cones.

[ { "created": "Wed, 31 Jan 2001 15:58:04 GMT", "version": "v1" }, { "created": "Thu, 22 Feb 2001 16:15:32 GMT", "version": "v2" } ]

2015-06-25

[ [ "Mund", "Jens", "" ] ]

The geometric action of modular groups for wedge regions (Bisognano-Wichmann property) is derived from the principles of local quantum physics for a large class of Poincare covariant models in d=4. As a consequence, the CPT theorem holds for this class. The models must have a complete interpretation in terms of massive particles. The corresponding charges need not be localizable in compact regions: The most general case is admitted, namely localization in spacelike cones.

14.311115

12.592367

17.304543

12.715478

14.06111

12.551183

14.821818

12.507648

11.769253

19.017216

13.091486

11.956887

13.471906

12.453287

12.428107

12.79304

12.856521

12.927686

12.044282

13.446809

13.32598

hep-th/9912044

Anton Kapustin

On The Universality Class Of Little String Theories

25 pages, latex

Phys.Rev. D63 (2001) 086005

10.1103/PhysRevD.63.086005

IASSNS-HEP-99/111

hep-th

null

We propose that Little String Theories in six dimensions are quasilocal quantum field theories. Such field theories obey a modification of Wightman axioms which allows Wightman functions (i.e. vacuum expectation values of products of fundamental fields) to grow exponentially in momentum space. Wightman functions of quasilocal fields in x-space violate microlocality at short distances. With additional assumptions about the ultraviolet behavior of quasilocal fields, one can define approximately local observables associated to big enough compact regions. The minimum size of such a region can be interpreted as the minimum distance which observables can probe. We argue that for Little String Theories this distance is of order {\sqrt N}/M_s.

[ { "created": "Mon, 6 Dec 1999 21:36:27 GMT", "version": "v1" }, { "created": "Thu, 27 Apr 2000 22:04:27 GMT", "version": "v2" } ]

2009-10-31

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

We propose that Little String Theories in six dimensions are quasilocal quantum field theories. Such field theories obey a modification of Wightman axioms which allows Wightman functions (i.e. vacuum expectation values of products of fundamental fields) to grow exponentially in momentum space. Wightman functions of quasilocal fields in x-space violate microlocality at short distances. With additional assumptions about the ultraviolet behavior of quasilocal fields, one can define approximately local observables associated to big enough compact regions. The minimum size of such a region can be interpreted as the minimum distance which observables can probe. We argue that for Little String Theories this distance is of order {\sqrt N}/M_s.

10.426641

9.523178

12.423954

10.624169

10.885988

11.532141

11.718651

10.857649

10.139972

12.56563

9.835726

10.174022

10.538484

10.306931

10.205205

10.354551

10.104048

10.15469

9.933883

10.780352

9.746085

hep-th/0604141

Yui Noma

Supersymmetric Gauge Theories with Matters, Toric Geometries and Random Partitions

26 pages, 11 figures; v2 typos corrected

Prog.Theor.Phys.116:1131-1157,2007

10.1143/PTP.116.1131

OU-HET 559

hep-th

null

We derive the relation between the Hilbert space of certain geometries under the Bohr-Sommerfeld quantization and the perturbative prepotentials for the supersymmetric five-dimensional SU(N) gauge theories with massive fundamental matters and with one massive adjoint matter. The gauge theory with one adjoint matter shows interesting features. A five-dimensional generalization of Nekrasov's partition function can be written as a correlation function of two-dimensional chiral bosons and as a partition function of a statistical model of partitions. From a ground state of the statistical model we reproduce the polyhedron which characterizes the Hilbert space.

[ { "created": "Thu, 20 Apr 2006 09:32:54 GMT", "version": "v1" }, { "created": "Thu, 25 May 2006 09:34:15 GMT", "version": "v2" } ]

2008-11-26

[ [ "Noma", "Yui", "" ] ]

We derive the relation between the Hilbert space of certain geometries under the Bohr-Sommerfeld quantization and the perturbative prepotentials for the supersymmetric five-dimensional SU(N) gauge theories with massive fundamental matters and with one massive adjoint matter. The gauge theory with one adjoint matter shows interesting features. A five-dimensional generalization of Nekrasov's partition function can be written as a correlation function of two-dimensional chiral bosons and as a partition function of a statistical model of partitions. From a ground state of the statistical model we reproduce the polyhedron which characterizes the Hilbert space.

11.548704

10.186303

12.561728

10.568748

10.634483

11.11175

9.878394

11.435058

10.617899

13.001214

10.552083

11.077617

11.375562

11.643545

11.088731

11.24472

10.680238

11.320437

11.355263

11.120252

11.363235

hep-th/0212206

Adam Falkowski

Adam Falkowski, Hans-Peter Nilles, Marek Olechowski and Stefan Pokorski

Deconstructing 5D supersymmetric U(1) gauge theories on orbifolds

Discussion of mixed anomalies and some clarifying commments added. Version to appear in Phys.Lett. B

Phys.Lett.B566:248-257,2003

10.1016/S0370-2693(03)00843-8

null

hep-th

null

We investigate deconstruction of five dimensional supersymmetric abelian gauge theories compactified on $S_1/Z_2$, with various sets of bulk and matter multiplets. The problem of anomalies, chirality and stability in the deconstructed theories is discussed. We find that for most of the 5d brane/bulk matter assignments there exists the deconstructed version. There are, however, some exceptions.

[ { "created": "Tue, 17 Dec 2002 18:16:17 GMT", "version": "v1" }, { "created": "Wed, 11 Jun 2003 15:49:46 GMT", "version": "v2" } ]

2010-11-19

[ [ "Falkowski", "Adam", "" ], [ "Nilles", "Hans-Peter", "" ], [ "Olechowski", "Marek", "" ], [ "Pokorski", "Stefan", "" ] ]

We investigate deconstruction of five dimensional supersymmetric abelian gauge theories compactified on $S_1/Z_2$, with various sets of bulk and matter multiplets. The problem of anomalies, chirality and stability in the deconstructed theories is discussed. We find that for most of the 5d brane/bulk matter assignments there exists the deconstructed version. There are, however, some exceptions.

12.245047

10.984085

10.415535

9.799032

10.571793

11.045286

10.394707

10.646772

10.154768

10.866899

9.599192

10.96603

10.535685

10.285277

9.823872

10.763635

10.035143

10.508864

10.270254

10.607275

10.29234

hep-th/0507048

Ian McArthur

D. Grasso and I.N. McArthur

The SU(N) Matrix Model at Two Loops

30 pages, 1 figure; v2 - typos corrected, references updated

JHEP 0509 (2005) 075

10.1088/1126-6708/2005/09/075

null

hep-th

null

Multi-loop calculations of the effective action for the matrix model are important for carrying out tests of the conjectured relationship of the matrix model to the low energy description of M-theory. In particular, comparison with N-graviton scattering amplitudes in eleven-dimensional supergravity requires the calculation of the effective action for the matrix model with gauge group SU(N). A framework for carrying out such calculations at two loops is established in this paper. The two-loop effective action is explicitly computed for a background corresponding to the scattering of a single D0-brane from a stack of N-1 D0-branes, and the results are shown to agree with known results in the case N=2.

[ { "created": "Wed, 6 Jul 2005 05:50:10 GMT", "version": "v1" }, { "created": "Mon, 8 Aug 2005 07:48:09 GMT", "version": "v2" } ]

2009-11-11

[ [ "Grasso", "D.", "" ], [ "McArthur", "I. N.", "" ] ]

Multi-loop calculations of the effective action for the matrix model are important for carrying out tests of the conjectured relationship of the matrix model to the low energy description of M-theory. In particular, comparison with N-graviton scattering amplitudes in eleven-dimensional supergravity requires the calculation of the effective action for the matrix model with gauge group SU(N). A framework for carrying out such calculations at two loops is established in this paper. The two-loop effective action is explicitly computed for a background corresponding to the scattering of a single D0-brane from a stack of N-1 D0-branes, and the results are shown to agree with known results in the case N=2.

6.531273

5.775344

6.457605

5.852945

6.05236

5.988301

5.863606

5.735887

5.515911

6.336165

5.985845

5.662746

6.018724

5.654091

5.752607

5.837105

5.648532

5.634906

5.682658

6.019725

5.921794

1810.03976

Douglas A. Singleton

Michael Bishop, Erick Aiken, and Douglas Singleton

Modified commutation relationships from the Berry-Keating program

14 pages, 0 figures revtex4. Version published in PRD

Phys. Rev. D 99, 026012 (2019)

10.1103/PhysRevD.99.026012

null

hep-th gr-qc quant-ph

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

Current approaches to quantum gravity suggest there should be a modification of the standard quantum mechanical commutator, $[{\hat x} , {\hat p}] = i \hbar$. Typical modifications are phenomenological and designed to result in a minimal length scale. As a motivating principle for the modification of the position and momentum commutator, we assume the validity of a version of the Bender-Brody-M\"uller variant of the Berry-Keating approach to the Riemann hypothesis. We arrive at a family of modified position and momentum operators, and their associated modified commutator, which lead to a minimal length scale. Additionally, this larger family generalizes the Bender-Brody-M\"uller approach to the Riemann hypothesis.

[ { "created": "Sun, 30 Sep 2018 17:56:10 GMT", "version": "v1" }, { "created": "Sun, 13 Jan 2019 00:30:17 GMT", "version": "v2" }, { "created": "Fri, 25 Jan 2019 18:35:02 GMT", "version": "v3" } ]

2019-01-28

[ [ "Bishop", "Michael", "" ], [ "Aiken", "Erick", "" ], [ "Singleton", "Douglas", "" ] ]

Current approaches to quantum gravity suggest there should be a modification of the standard quantum mechanical commutator, $[{\hat x} , {\hat p}] = i \hbar$. Typical modifications are phenomenological and designed to result in a minimal length scale. As a motivating principle for the modification of the position and momentum commutator, we assume the validity of a version of the Bender-Brody-M\"uller variant of the Berry-Keating approach to the Riemann hypothesis. We arrive at a family of modified position and momentum operators, and their associated modified commutator, which lead to a minimal length scale. Additionally, this larger family generalizes the Bender-Brody-M\"uller approach to the Riemann hypothesis.

7.222838

8.125741

7.56646

7.492967

7.810912

7.387983

7.948417

7.252561

7.646674

8.97977

7.63109

7.204064

6.729279

6.822173

6.914499

6.975707

6.95952

7.06681

7.059755

6.819222

7.02606

hep-th/0407036

Gonzalo A. Palma

Gonzalo A. Palma, Anne-Christine Davis (DAMTP, University of Cambridge)

Moduli-Space Approximation for BPS Brane-Worlds

10 pages, 1 figure

Phys.Rev. D70 (2004) 106003

10.1103/PhysRevD.70.106003

null

hep-th astro-ph hep-ph

null

We develop the moduli-space approximation for the low energy regime of BPS-branes with a bulk scalar field to obtain an effective four-dimensional action describing the system. An arbitrary BPS potential is used and account is taken of the presence of matter in the branes and small supersymmetry breaking terms. The resulting effective theory is a bi-scalar tensor theory of gravity. In this theory, the scalar degrees of freedom can be stabilized naturally without the introduction of additional mechanisms other than the appropriate BPS potential. We place observational constraints on the shape of the potential and the global configuration of branes.

[ { "created": "Tue, 6 Jul 2004 12:14:49 GMT", "version": "v1" } ]

2016-09-06

[ [ "Palma", "Gonzalo A.", "", "DAMTP, University of\n Cambridge" ], [ "Davis", "Anne-Christine", "", "DAMTP, University of\n Cambridge" ] ]

We develop the moduli-space approximation for the low energy regime of BPS-branes with a bulk scalar field to obtain an effective four-dimensional action describing the system. An arbitrary BPS potential is used and account is taken of the presence of matter in the branes and small supersymmetry breaking terms. The resulting effective theory is a bi-scalar tensor theory of gravity. In this theory, the scalar degrees of freedom can be stabilized naturally without the introduction of additional mechanisms other than the appropriate BPS potential. We place observational constraints on the shape of the potential and the global configuration of branes.

17.385395

15.319539

13.979528

15.094093

15.272772

16.51993

15.472529

15.054004

15.511682

15.786826

15.342231

15.242876

13.995796

15.268017

15.775204

15.542941

16.085106

14.458811

15.034179

14.600493

14.686844

hep-th/9304149

Patrick Dorey

A remark on the coupling-dependence in affine Toda field theories

12 pages (harvmac), CERN-TH.6873/93

Phys.Lett. B312 (1993) 291-298

10.1016/0370-2693(93)91083-Y

null

hep-th

null

The affine Toda field theories based on the non simply-laced Lie algebras are discussed. By rewriting the S-matrix formulae found by Delius et al, a universal form for the coupling-constant dependence of these models is obtained, and related to various general properties of the classical couplings. This is illustrated via the S-matrix associated with the dual pair of algebras $f_4^{(1)}$ and $e_6^{(2)}$.

[ { "created": "Wed, 28 Apr 1993 21:47:21 GMT", "version": "v1" } ]

2009-10-22

[ [ "Dorey", "Patrick", "" ] ]

The affine Toda field theories based on the non simply-laced Lie algebras are discussed. By rewriting the S-matrix formulae found by Delius et al, a universal form for the coupling-constant dependence of these models is obtained, and related to various general properties of the classical couplings. This is illustrated via the S-matrix associated with the dual pair of algebras $f_4^{(1)}$ and $e_6^{(2)}$.

9.394709

7.71879

10.645981

7.517047

8.273938

7.800122

7.663664

7.760644

7.378124

11.222481

7.503561

7.979194

9.825204

8.515627

8.371137

8.465158

8.018411

8.124112

8.358003

9.989778

8.115727

hep-th/9911096

Igor R. Klebanov

Igor R. Klebanov and Nikita A. Nekrasov

Gravity Duals of Fractional Branes and Logarithmic RG Flow

15 pages, harvmac; v2: typos corrected; v3: minor corrections, references added

Nucl.Phys. B574 (2000) 263-274

10.1016/S0550-3213(00)00016-X

PUPT-1897, ITEP-TH-61/99

hep-th

null

We study fractional branes in ${\CN}=2$ orbifold and ${\CN}=1$ conifold theories. Placing a large number $N$ of regular D3-branes at the singularity produces the dual ${\bf AdS}_5\times X^5$ geometry, and we describe the fractional branes as small perturbations to this background. For the orbifolds, $X^5={\bf S}^5/\Gamma$ and fractional D3-branes excite complex scalars from the twisted sector which are localized on the fixed circle of $X^5$. The resulting solutions are given by holomorphic functions and the field-theoretic beta-function is simply reproduced. For $N$ regular and $M$ fractional D3-branes at the conifold singularity we find a non-conformal ${\cal N}=1$ supersymmetric $SU(N+M)\times SU(N)$ gauge theory. The dual Type $\II$B background is ${\bf AdS}_5\times {\bf T}^{1,1}$ with NS-NS and R-R 2-form fields turned on. This dual description reproduces the logarithmic flow of couplings found in the field theory.

[ { "created": "Fri, 12 Nov 1999 18:00:01 GMT", "version": "v1" }, { "created": "Sat, 13 Nov 1999 21:31:49 GMT", "version": "v2" }, { "created": "Fri, 19 Nov 1999 01:53:38 GMT", "version": "v3" } ]

2009-10-31

[ [ "Klebanov", "Igor R.", "" ], [ "Nekrasov", "Nikita A.", "" ] ]

We study fractional branes in ${\CN}=2$ orbifold and ${\CN}=1$ conifold theories. Placing a large number $N$ of regular D3-branes at the singularity produces the dual ${\bf AdS}_5\times X^5$ geometry, and we describe the fractional branes as small perturbations to this background. For the orbifolds, $X^5={\bf S}^5/\Gamma$ and fractional D3-branes excite complex scalars from the twisted sector which are localized on the fixed circle of $X^5$. The resulting solutions are given by holomorphic functions and the field-theoretic beta-function is simply reproduced. For $N$ regular and $M$ fractional D3-branes at the conifold singularity we find a non-conformal ${\cal N}=1$ supersymmetric $SU(N+M)\times SU(N)$ gauge theory. The dual Type $\II$B background is ${\bf AdS}_5\times {\bf T}^{1,1}$ with NS-NS and R-R 2-form fields turned on. This dual description reproduces the logarithmic flow of couplings found in the field theory.

6.256

5.808627

7.634932

5.876774

5.98054

6.203697

5.827369

5.675299

5.907884

8.565361

5.576057

5.92205

6.704366

6.066683

5.976914

5.998084

6.130169

6.172815

5.961243

6.515187

5.98771

hep-th/9803158

Arne Lykke Larsen

M. Christensen, V.P. Frolov and A.L. Larsen

Soap Bubbles in Outer Space: Interaction of a Domain Wall with a Black Hole

15 pages, Latex, 4 figures included

Phys.Rev. D58 (1998) 085008

10.1103/PhysRevD.58.085008

null

hep-th gr-qc

null

We discuss the generalized Plateau problem in the 3+1 dimensional Schwarzschild background. This represents the physical situation, which could for instance have appeared in the early universe, where a cosmic membrane (thin domain wall) is located near a black hole. Considering stationary axially symmetric membranes, three different membrane-topologies are possible depending on the boundary conditions at infinity: 2+1 Minkowski topology, 2+1 wormhole topology and 2+1 black hole topology. Interestingly, we find that the different membrane-topologies are connected via phase transitions of the form first discussed by Choptuik in investigations of scalar field collapse. More precisely, we find a first order phase transition (finite mass gap) between wormhole topology and black hole topology; the intermediate membrane being an unstable wormhole collapsing to a black hole. Moreover, we find a second order phase transition (no mass gap) between Minkowski topology and black hole topology; the intermediate membrane being a naked singularity. For the membranes of black hole topology, we find a mass scaling relation analogous to that originally found by Choptuik. However, in our case the parameter $p$ is replaced by a 2-vector $\vec{p}$ parametrizing the solutions. We find that $Mass\propto|\vec{p}-\vec{p}_*|^\gamma$ where $\gamma\approx 0.66$. We also find a periodic wiggle in the scaling relation. Our results show that black hole formation as a critical phenomenon is far more general than expected.

[ { "created": "Thu, 19 Mar 1998 16:31:41 GMT", "version": "v1" } ]

2009-10-31

[ [ "Christensen", "M.", "" ], [ "Frolov", "V. P.", "" ], [ "Larsen", "A. L.", "" ] ]

We discuss the generalized Plateau problem in the 3+1 dimensional Schwarzschild background. This represents the physical situation, which could for instance have appeared in the early universe, where a cosmic membrane (thin domain wall) is located near a black hole. Considering stationary axially symmetric membranes, three different membrane-topologies are possible depending on the boundary conditions at infinity: 2+1 Minkowski topology, 2+1 wormhole topology and 2+1 black hole topology. Interestingly, we find that the different membrane-topologies are connected via phase transitions of the form first discussed by Choptuik in investigations of scalar field collapse. More precisely, we find a first order phase transition (finite mass gap) between wormhole topology and black hole topology; the intermediate membrane being an unstable wormhole collapsing to a black hole. Moreover, we find a second order phase transition (no mass gap) between Minkowski topology and black hole topology; the intermediate membrane being a naked singularity. For the membranes of black hole topology, we find a mass scaling relation analogous to that originally found by Choptuik. However, in our case the parameter $p$ is replaced by a 2-vector $\vec{p}$ parametrizing the solutions. We find that $Mass\propto|\vec{p}-\vec{p}_*|^\gamma$ where $\gamma\approx 0.66$. We also find a periodic wiggle in the scaling relation. Our results show that black hole formation as a critical phenomenon is far more general than expected.

7.022934

7.588602

7.412848

6.826756

7.524158

7.406041

7.464396

6.886703

6.881752

7.511131

6.894503

6.801921

6.833558

6.610219

6.760512

6.750315

6.929666

6.730853

6.838027

6.894794

6.757894

1403.5549

Sayantan Choudhury

Sayantan Choudhury, Anupam Mazumdar

Reconstructing inflationary potential from BICEP2 and running of tensor modes

22 pages, 5 figures, A new set of consistency relationships have been added in the discussion, new citations added. arXiv admin note: text overlap with arXiv:1306.4496

null

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

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

In this paper we will analyse the constraints on a sub-Planckian excursion of a single inflaton field, which would yield a large tensor to scalar ratio, while explaining the temperature anisotropy of the cosmic microwave background (CMB) radiation. In particular, our attempt will be to reconstruct the inflationary potential by constraining, $V(\phi_0), V^{\prime}(\phi_0), V^{\prime\prime}(\phi_0), V^{\prime\prime\prime}(\phi_0)$ and $V^{\prime\prime\prime\prime}(\phi_0)$, in the vicinity of the field, $\phi_0\ll M_p$, and the field displacement, $\Delta \phi \ll M_p$, where $M_p$ is the reduced Planck mass. We will provide, for the first time, a set of new {\it consistency} relationships for sub-Planckian excursion of the inflaton field, which would help us to differentiate sub-versus-super Planckian models of inflation. For a generic single field inflationary potential, we will be able to put a stringent bound on the potential energy density: $2.07\times10^{16} {\rm GeV}\leq\sqrt[4]{V_{\star}}\leq 2.40\times 10^{16} {\rm GeV}$, where inflation can occur on the flat potential within, $0.066 \leq\frac{\left |\Delta\phi\right|}{M_p}\,\leq 0.092$, for the following observational constraints: (Planck+WMAP-9+high L+BICEP2). We then provide a prediction for the spectral tilt ($n_{T}$), running ($\alpha_{T}$) and running of running ($\kappa_{T}$) of the tensor modes within the window, $-0.019<n_{T}<-0.033$, $-2.97\times 10^{-4}<\alpha_{T}(=dn_{T}/d\ln k)<2.86\times 10^{-5}$,and $-0.11\times 10^{-4}<\kappa_{T}(=d^{2}n_{T}/d\ln k^{2})<-3.58\times 10^{-4}$, in a model independent way. We also provide a simple example of an {\it inflection-point} model of inflation and reconstruct the potential in a model independent way to match the current observations.

[ { "created": "Fri, 21 Mar 2014 19:28:34 GMT", "version": "v1" }, { "created": "Sun, 30 Mar 2014 18:07:53 GMT", "version": "v2" } ]

2014-04-01

[ [ "Choudhury", "Sayantan", "" ], [ "Mazumdar", "Anupam", "" ] ]

In this paper we will analyse the constraints on a sub-Planckian excursion of a single inflaton field, which would yield a large tensor to scalar ratio, while explaining the temperature anisotropy of the cosmic microwave background (CMB) radiation. In particular, our attempt will be to reconstruct the inflationary potential by constraining, $V(\phi_0), V^{\prime}(\phi_0), V^{\prime\prime}(\phi_0), V^{\prime\prime\prime}(\phi_0)$ and $V^{\prime\prime\prime\prime}(\phi_0)$, in the vicinity of the field, $\phi_0\ll M_p$, and the field displacement, $\Delta \phi \ll M_p$, where $M_p$ is the reduced Planck mass. We will provide, for the first time, a set of new {\it consistency} relationships for sub-Planckian excursion of the inflaton field, which would help us to differentiate sub-versus-super Planckian models of inflation. For a generic single field inflationary potential, we will be able to put a stringent bound on the potential energy density: $2.07\times10^{16} {\rm GeV}\leq\sqrt[4]{V_{\star}}\leq 2.40\times 10^{16} {\rm GeV}$, where inflation can occur on the flat potential within, $0.066 \leq\frac{\left |\Delta\phi\right|}{M_p}\,\leq 0.092$, for the following observational constraints: (Planck+WMAP-9+high L+BICEP2). We then provide a prediction for the spectral tilt ($n_{T}$), running ($\alpha_{T}$) and running of running ($\kappa_{T}$) of the tensor modes within the window, $-0.019<n_{T}<-0.033$, $-2.97\times 10^{-4}<\alpha_{T}(=dn_{T}/d\ln k)<2.86\times 10^{-5}$,and $-0.11\times 10^{-4}<\kappa_{T}(=d^{2}n_{T}/d\ln k^{2})<-3.58\times 10^{-4}$, in a model independent way. We also provide a simple example of an {\it inflection-point} model of inflation and reconstruct the potential in a model independent way to match the current observations.

4.674646

5.084278

4.924972

4.849351

5.114382

5.154404

5.137354

4.825605

4.841786

5.321401

4.708841

4.724336

4.653799

4.660366

4.736289

4.760857

4.708468

4.660956

4.60143

4.727385

4.672573

2101.00239

Joselen Pena

Pedro D. Alvarez, Maria Pilar Garcia del Moral, Joselen M. Pe\~na and Reginaldo Prado

Rotating Central Charge Membranes

6 pages, 1 figure. Section 4 re-worked, conclusions modified. Submitted to Journal of Physics: Conference Series Proceedings Chilean Physics Symposium 2020 (SOCHIFI 2020)

null

hep-th

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

In this work we obtain dynamical solutions of the bosonic sector of the supermembrane theory with central charges formulated on $M_9\times T^2$, denoted by MIM2. The theory with this condition corresponds to a supermembrane with a $C_-$ flux. This sector of the M2-brane is very interesting since classically is stable as it does not contain string-like spikes with zero energy and at quantum level has a purely discrete supersymmetric spectrum. We find rotating solutions of the MIM2 equations of motion fulfilling all of the constraints. By showing that the MIM2 mass operator, contains the mass operator discussed in [Brugues, Rojo, Russo, Nucl. Phys. B 710, 2005], then we show that the rotating solutions previously found in the aforementioned work that also satisfy the topological central charge condition, are solutions of the MIM2. Finally, we find new distinctive rotating membrane solutions that include the presence of a new non-vanishing dynamical scalar field defined on its worldvolume.

[ { "created": "Fri, 1 Jan 2021 14:09:02 GMT", "version": "v1" }, { "created": "Mon, 12 Apr 2021 23:42:44 GMT", "version": "v2" } ]

2021-04-14

[ [ "Alvarez", "Pedro D.", "" ], [ "del Moral", "Maria Pilar Garcia", "" ], [ "Peña", "Joselen M.", "" ], [ "Prado", "Reginaldo", "" ] ]

In this work we obtain dynamical solutions of the bosonic sector of the supermembrane theory with central charges formulated on $M_9\times T^2$, denoted by MIM2. The theory with this condition corresponds to a supermembrane with a $C_-$ flux. This sector of the M2-brane is very interesting since classically is stable as it does not contain string-like spikes with zero energy and at quantum level has a purely discrete supersymmetric spectrum. We find rotating solutions of the MIM2 equations of motion fulfilling all of the constraints. By showing that the MIM2 mass operator, contains the mass operator discussed in [Brugues, Rojo, Russo, Nucl. Phys. B 710, 2005], then we show that the rotating solutions previously found in the aforementioned work that also satisfy the topological central charge condition, are solutions of the MIM2. Finally, we find new distinctive rotating membrane solutions that include the presence of a new non-vanishing dynamical scalar field defined on its worldvolume.

14.99528

13.392507

17.524073

13.154055

13.47312

13.16287

13.67534

13.795986

13.021689

18.611071

12.66298

13.314001

14.540247

14.24031

13.446629

13.43806

13.607112

13.245871

14.102715

15.055792

13.532884

1005.0464

Olaf Lechtenfeld

Olaf Lechtenfeld, Armen Nersessian, Vahagn Yeghikyan

Action-angle variables for dihedral systems on the circle

8 pages; v2: references added, typos fixed, version for PLA

Phys.Lett.A374:4647-4652,2010

10.1016/j.physleta.2010.09.047

null

hep-th math-ph math.DS math.MP

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

A nonrelativistic particle on a circle and subject to a cos^{-2}(k phi) potential is related to the two-dimensional (dihedral) Coxeter system I_2(k), for k in N. For such `dihedral systems' we construct the action-angle variables and establish a local equivalence with a free particle on the circle. We perform the quantization of these systems in the action-angle variables and discuss the supersymmetric extension of this procedure. By allowing radial motion one obtains related two-dimensional systems, including A_2, BC_2 and G_2 three-particle rational Calogero models on R, which we also analyze.

[ { "created": "Tue, 4 May 2010 08:35:43 GMT", "version": "v1" }, { "created": "Fri, 1 Oct 2010 12:55:08 GMT", "version": "v2" } ]

2011-01-18

[ [ "Lechtenfeld", "Olaf", "" ], [ "Nersessian", "Armen", "" ], [ "Yeghikyan", "Vahagn", "" ] ]

A nonrelativistic particle on a circle and subject to a cos^{-2}(k phi) potential is related to the two-dimensional (dihedral) Coxeter system I_2(k), for k in N. For such `dihedral systems' we construct the action-angle variables and establish a local equivalence with a free particle on the circle. We perform the quantization of these systems in the action-angle variables and discuss the supersymmetric extension of this procedure. By allowing radial motion one obtains related two-dimensional systems, including A_2, BC_2 and G_2 three-particle rational Calogero models on R, which we also analyze.

14.248897

13.682142

15.513712

12.153719

12.295267

12.154106

12.765324

12.676736

12.559604

17.2223

12.355467

12.281017

13.161722

12.332021

12.579889

12.769799

12.326189

12.275388

12.054218

13.085442

12.553104

hep-th/9409200

Valeri Dvoeglazov

Valeri V. Dvoeglazov (Zacatecas University, M\'exico)

ADDENDUM to the papers on the Weinberg Theory

LaTeX file, 6pp. Preprint EFUAZ FT-94-09

null

hep-th

null

The Weinberg-Tucker-Hammer equations are shown to substitute the common-used $j=1$ massless equations. Meantime, the old equations preserve their significance as a particular case. Possible consequences are discussed.

[ { "created": "Mon, 3 Oct 1994 02:27:39 GMT", "version": "v1" } ]

2007-05-23

[ [ "Dvoeglazov", "Valeri V.", "", "Zacatecas University, México" ] ]

The Weinberg-Tucker-Hammer equations are shown to substitute the common-used $j=1$ massless equations. Meantime, the old equations preserve their significance as a particular case. Possible consequences are discussed.

56.1091

41.309902

40.003139

37.927998

41.488041

39.115822

36.05751

41.82896

39.092514

66.101768

36.502468

40.537952

39.744652

35.91906

37.259621

36.852489

37.688499

39.495842

38.417965

40.987049

38.254681

1404.2095

Niall MacKay

Alejandro De La Rosa Gomez and Niall J. MacKay

Twisted Yangian symmetry of the open Hubbard model

13 pages. Minor revisions and additional references

null

10.1088/1751-8113/47/30/305203

null

hep-th cond-mat.str-el math.QA

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

We show that, in the open Hubbard model with integrable boundary conditions, the bulk Yangian symmetry is broken to a twisted Yangian. We prove that the associated charges commute with the Hamiltonian and the reflection matrix, and that they form a coideal subalgebra.

[ { "created": "Tue, 8 Apr 2014 11:48:16 GMT", "version": "v1" }, { "created": "Wed, 11 Jun 2014 17:05:12 GMT", "version": "v2" } ]

2015-06-19

[ [ "Gomez", "Alejandro De La Rosa", "" ], [ "MacKay", "Niall J.", "" ] ]

We show that, in the open Hubbard model with integrable boundary conditions, the bulk Yangian symmetry is broken to a twisted Yangian. We prove that the associated charges commute with the Hamiltonian and the reflection matrix, and that they form a coideal subalgebra.

9.24949

7.074733

10.56497

7.541718

7.114459

7.051404

6.643296

6.858581

7.414099

11.543375

7.225695

8.235548

10.291735

8.606665

8.0028

8.496104

8.304339

8.23666

8.780139

9.949829

8.291147

1607.05273

Wilke van der Schee

Jorge Casalderrey-Solana, David Mateos, Wilke van der Schee, Miquel Triana

Holographic heavy ion collisions with baryon charge

18 pages, 10 figures

JHEP 1609 (2016) 108

10.1007/JHEP09(2016)108

ICCUB-16-027, MIT-CTP/4819

hep-th nucl-th

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

We numerically simulate collisions of charged shockwaves in Einstein-Maxwell theory in anti-de Sitter space as a toy model of heavy ion collisions with non-zero baryon charge. The stress tensor and the baryon current become well described by charged hydrodynamics at roughly the same time. The effect of the charge density on generic observables is typically no larger than 15\%. %The rapidity profile of the charge is wider than the profile of the local energy density. We find significant stopping of the baryon charge and compare our results with those in heavy ion collision experiments.

[ { "created": "Mon, 18 Jul 2016 20:00:00 GMT", "version": "v1" } ]

2017-07-05

[ [ "Casalderrey-Solana", "Jorge", "" ], [ "Mateos", "David", "" ], [ "van der Schee", "Wilke", "" ], [ "Triana", "Miquel", "" ] ]

We numerically simulate collisions of charged shockwaves in Einstein-Maxwell theory in anti-de Sitter space as a toy model of heavy ion collisions with non-zero baryon charge. The stress tensor and the baryon current become well described by charged hydrodynamics at roughly the same time. The effect of the charge density on generic observables is typically no larger than 15\%. %The rapidity profile of the charge is wider than the profile of the local energy density. We find significant stopping of the baryon charge and compare our results with those in heavy ion collision experiments.

11.406416

10.465366

11.179301

10.075007

10.232222

9.9388

9.643397

9.983575

9.67057

11.62968

9.457146

10.025849

10.521781

10.10431

10.202792

10.023956

10.034042

9.780061

9.929482

10.473786

9.916835

hep-th/9910168

Ilya Shapiro

G. de Berredo-Peixoto, J.A. Helayel-Neto, I.L. Shapiro

On the Consistency of a Fermion-Torsion Effective Theory

LaTeX, 26 pages, 4 figures

JHEP 0002 (2000) 003

10.1088/1126-6708/2000/02/003

DF/UFJF-99/16, CBPF-NF-061/99

hep-th

null

We discuss the possibility to construct an effective quantum field theory for an axial vector coupled to a Dirac spinor field. A massive axial vector describes antisymmetric torsion. The consistency conditions include unitarity and renormalizability in the low-energy region. The investigation of the Ward identities and the one- and two-loop divergences indicate serious problems arising in the theory. The final conclusion is that torsion may exist as a string excitation, but there are very severe restrictions for the existence of a propagating torsion field, subject to the quantization procedure, at low energies.

[ { "created": "Thu, 21 Oct 1999 11:56:28 GMT", "version": "v1" }, { "created": "Mon, 12 Mar 2001 17:53:45 GMT", "version": "v2" } ]

2009-10-31

[ [ "de Berredo-Peixoto", "G.", "" ], [ "Helayel-Neto", "J. A.", "" ], [ "Shapiro", "I. L.", "" ] ]

We discuss the possibility to construct an effective quantum field theory for an axial vector coupled to a Dirac spinor field. A massive axial vector describes antisymmetric torsion. The consistency conditions include unitarity and renormalizability in the low-energy region. The investigation of the Ward identities and the one- and two-loop divergences indicate serious problems arising in the theory. The final conclusion is that torsion may exist as a string excitation, but there are very severe restrictions for the existence of a propagating torsion field, subject to the quantization procedure, at low energies.

12.573712

10.542553

11.305209

11.528111

11.721222

10.69488

10.436

10.904241

11.371118

12.829135

10.562282

11.035784

11.855552

11.609652

11.458641

11.159685

11.552871

11.055746

11.468838

11.545167

10.785112

1803.07500

Luca Mattiello

Luca Mattiello, Ivo Sachs

$\mathbb{Z}_2$ boundary twist fields and the moduli space of D-branes

36 pages, 3 figures, section 3 revised, typos corrected

JHEP 07 (2018) 099

10.1007/JHEP07(2018)099

LMU-ASC 14/18

hep-th

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

We revisit the boundary conformal field theory of twist fields. Based on the equivalence between twisted bosons on a circle and the orbifold theory at the critical radius, we provide a bosonized representation of boundary twist fields and thus a free field representation of the latter. One advantage of this formulation is that it considerably simplifies the calculation of correlation functions involving twist fields. At the same time this also gives access to higher order terms in the operator product expansions of the latter which, in turn, allows to explore the moduli space of marginal deformation of bound states of D-branes. In the process we also generalize some results on correlation functions with excited twist fields.

[ { "created": "Tue, 20 Mar 2018 15:59:21 GMT", "version": "v1" }, { "created": "Mon, 9 Apr 2018 09:24:40 GMT", "version": "v2" }, { "created": "Thu, 19 Jul 2018 15:14:47 GMT", "version": "v3" } ]

2018-07-20

[ [ "Mattiello", "Luca", "" ], [ "Sachs", "Ivo", "" ] ]

We revisit the boundary conformal field theory of twist fields. Based on the equivalence between twisted bosons on a circle and the orbifold theory at the critical radius, we provide a bosonized representation of boundary twist fields and thus a free field representation of the latter. One advantage of this formulation is that it considerably simplifies the calculation of correlation functions involving twist fields. At the same time this also gives access to higher order terms in the operator product expansions of the latter which, in turn, allows to explore the moduli space of marginal deformation of bound states of D-branes. In the process we also generalize some results on correlation functions with excited twist fields.

10.419938

9.137599

11.397902

9.564013

10.106269

9.559359

10.487686

9.222178

9.017547

12.129627

9.456347

9.234982

10.733981

9.716838

9.556406

9.534

9.674117

9.566486

9.997102

10.187838

9.680366

0704.1651

Orest Hrycyna

Orest Hrycyna, Marek Szydlowski

Route to Lambda in conformally coupled phantom cosmology

revtex4, 7 pages, 3 figures; (v2) refs. added, typos corrected; (v3) published version

Phys.Lett.B651:8-14,2007

10.1016/j.physletb.2007.05.057

null

hep-th astro-ph

null

In this letter we investigate acceleration in the flat cosmological model with a conformally coupled phantom field and we show that acceleration is its generic feature. We reduce the dynamics of the model to a 3-dimensional dynamical system and analyze it on a invariant 2-dimensional submanifold. Then the concordance FRW model with the cosmological constant $\Lambda$ is a global attractor situated on a 2-dimensional invariant space. We also study the behaviour near this attractor, which can be approximated by the dynamics of the linearized part of the system. We demonstrate that trajectories of the conformally coupled phantom scalar field with a simple quadratic potential crosses the cosmological constant barrier infinitely many times in the phase space. The universal behaviour of the scalar field and its potential is also calculated. We conclude that the phantom scalar field conformally coupled to gravity gives a natural dynamical mechanism of concentration of the equation of state coefficient around the magical value $w_{\text{eff}}=-1$. We demonstrate route to Lambda through the infinite times crossing the $w_{\text{eff}}=-1$ phantom divide.

[ { "created": "Thu, 12 Apr 2007 19:47:11 GMT", "version": "v1" }, { "created": "Sun, 22 Apr 2007 17:26:12 GMT", "version": "v2" }, { "created": "Mon, 2 Jul 2007 19:45:23 GMT", "version": "v3" } ]

2008-11-26

[ [ "Hrycyna", "Orest", "" ], [ "Szydlowski", "Marek", "" ] ]

In this letter we investigate acceleration in the flat cosmological model with a conformally coupled phantom field and we show that acceleration is its generic feature. We reduce the dynamics of the model to a 3-dimensional dynamical system and analyze it on a invariant 2-dimensional submanifold. Then the concordance FRW model with the cosmological constant $\Lambda$ is a global attractor situated on a 2-dimensional invariant space. We also study the behaviour near this attractor, which can be approximated by the dynamics of the linearized part of the system. We demonstrate that trajectories of the conformally coupled phantom scalar field with a simple quadratic potential crosses the cosmological constant barrier infinitely many times in the phase space. The universal behaviour of the scalar field and its potential is also calculated. We conclude that the phantom scalar field conformally coupled to gravity gives a natural dynamical mechanism of concentration of the equation of state coefficient around the magical value $w_{\text{eff}}=-1$. We demonstrate route to Lambda through the infinite times crossing the $w_{\text{eff}}=-1$ phantom divide.

10.711755

11.512246

10.568968

10.485859

10.690296

11.187387

11.518655

10.914247

10.943587

12.115498

10.629444

10.991168

10.120749

10.413355

10.66311

10.526295

10.706865

10.509768

10.757033

10.205692

10.431348

2005.12831

I\~naki Garc\'ia-Etxebarria

Federica Albertini and Michele Del Zotto and I\~naki Garc\'ia Etxebarria and Saghar S. Hosseini

Higher Form Symmetries and M-theory

48 pages. v2: Added references and fixed typos

null

10.1007/JHEP12(2020)203

null

hep-th

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

We discuss the geometric origin of discrete higher form symmetries of quantum field theories in terms of defect groups from geometric engineering in M-theory. The flux non-commutativity in M-theory gives rise to (mixed) 't Hooft anomalies for the defect group which constrains the corresponding global structures of the associated quantum fields. We analyze the example of 4d $\mathcal{N}=1$ SYM gauge theory in four dimensions, and we reproduce the well-known classification of global structures from reading between its lines. We extend this analysis to the case of 7d $\mathcal{N}=1$ SYM theory, where we recover it from a mixed 't Hooft anomaly among the electric 1-form center symmetry and the magnetic 4-form center symmetry in the defect group. The case of five-dimensional SCFTs from M-theory on toric singularities is discussed in detail. In that context we determine the corresponding 1-form and 2-form defect groups and we explain how to determine the corresponding mixed 't Hooft anomalies from flux non-commutativity. Several predictions for non-conventional 5d SCFTs are obtained. The matching of discrete higher-form symmetries and their anomalies provides an interesting consistency check for 5d dualities.

[ { "created": "Tue, 26 May 2020 16:10:46 GMT", "version": "v1" }, { "created": "Fri, 5 Jun 2020 17:42:23 GMT", "version": "v2" } ]

2021-02-03

[ [ "Albertini", "Federica", "" ], [ "Del Zotto", "Michele", "" ], [ "Etxebarria", "Iñaki García", "" ], [ "Hosseini", "Saghar S.", "" ] ]

We discuss the geometric origin of discrete higher form symmetries of quantum field theories in terms of defect groups from geometric engineering in M-theory. The flux non-commutativity in M-theory gives rise to (mixed) 't Hooft anomalies for the defect group which constrains the corresponding global structures of the associated quantum fields. We analyze the example of 4d $\mathcal{N}=1$ SYM gauge theory in four dimensions, and we reproduce the well-known classification of global structures from reading between its lines. We extend this analysis to the case of 7d $\mathcal{N}=1$ SYM theory, where we recover it from a mixed 't Hooft anomaly among the electric 1-form center symmetry and the magnetic 4-form center symmetry in the defect group. The case of five-dimensional SCFTs from M-theory on toric singularities is discussed in detail. In that context we determine the corresponding 1-form and 2-form defect groups and we explain how to determine the corresponding mixed 't Hooft anomalies from flux non-commutativity. Several predictions for non-conventional 5d SCFTs are obtained. The matching of discrete higher-form symmetries and their anomalies provides an interesting consistency check for 5d dualities.

7.43084

7.372535

8.410832

7.033257

7.682199

7.095653

7.613207

7.541329

7.402051

8.436292

7.313223

7.484779

7.49725

7.049916

7.125625

7.212881

7.330378

7.20767

7.012189

7.558442

7.25046

1404.5151

Fernando Quevedo

Local String Models and Moduli Stabilisation

23 pages, 4 figures, invited contribution to 'Perspectives in String Phenomenology' book B. Acharya, et al (eds). Minor rewordings and references added

null

10.1142/S0217732315300049

DAMTP-2014-26

hep-th hep-ph

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

A brief overview is presented of the progress made during the past few years on the general structure of local models of particle physics from string theory including: moduli stabilisation, supersymmetry breaking, global embedding in compact Calabi-Yau compactifications and potential cosmological implications. Type IIB D-brane constructions and the Large Volume Scenario (LVS) are discussed in some detail emphasising the recent achievements and the main open questions.

[ { "created": "Mon, 21 Apr 2014 09:51:27 GMT", "version": "v1" }, { "created": "Tue, 29 Apr 2014 15:44:41 GMT", "version": "v2" } ]

2015-06-19

[ [ "Quevedo", "Fernando", "" ] ]

A brief overview is presented of the progress made during the past few years on the general structure of local models of particle physics from string theory including: moduli stabilisation, supersymmetry breaking, global embedding in compact Calabi-Yau compactifications and potential cosmological implications. Type IIB D-brane constructions and the Large Volume Scenario (LVS) are discussed in some detail emphasising the recent achievements and the main open questions.

9.614783

7.553115

9.362298

8.305228

9.471226

8.339813

8.411545

8.217057

8.067543

10.570084

8.179355

8.442224

8.981182

8.358253

8.348058

8.66021

8.461542

8.639812

8.392619

8.680707

8.582723

1308.4608

Satoshi Okuda

Satoshi Okuda and Yutaka Yoshida

G/G gauged WZW-matter model, Bethe Ansatz for q-boson model and Commutative Frobenius algebra

41 pages, 7 figures, Published version

null

10.1007/JHEP03(2014)003

KEK-TH-1658, RUP-13-8

hep-th math-ph math.MP

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

We investigate the correspondence between two dimensional topological gauge theories and quantum integrable systems discovered by Moore, Nekrasov, Shatashvili. This correspondence means that the hidden quantum integrable structure exists in the topological gauge theories. We showed the correspondence between the G/G gauged WZW model and the phase model in JHEP 11 (2012) 146 (arXiv:1209.3800). In this paper, we study a one-parameter deformation for this correspondence and show that the G/G gauged WZW model coupled to additional matters corresponds to the q-boson model. Furthermore, we investigate this correspondence from a viewpoint of the commutative Frobenius algebra, the axiom of the two dimensional topological quantum field theory.

[ { "created": "Wed, 21 Aug 2013 15:06:39 GMT", "version": "v1" }, { "created": "Tue, 4 Mar 2014 09:29:42 GMT", "version": "v2" } ]

2015-06-16

[ [ "Okuda", "Satoshi", "" ], [ "Yoshida", "Yutaka", "" ] ]

We investigate the correspondence between two dimensional topological gauge theories and quantum integrable systems discovered by Moore, Nekrasov, Shatashvili. This correspondence means that the hidden quantum integrable structure exists in the topological gauge theories. We showed the correspondence between the G/G gauged WZW model and the phase model in JHEP 11 (2012) 146 (arXiv:1209.3800). In this paper, we study a one-parameter deformation for this correspondence and show that the G/G gauged WZW model coupled to additional matters corresponds to the q-boson model. Furthermore, we investigate this correspondence from a viewpoint of the commutative Frobenius algebra, the axiom of the two dimensional topological quantum field theory.

7.118606

6.686365

7.600625

6.259274

6.480621

6.463607

6.085015

6.436755

6.725935

7.963924

6.592439

6.461048

7.462196

6.641098

6.241486

6.578729

6.278641

6.705113

6.758802

7.179442

6.664855

hep-th/0602204

Kazuyuki Fujii

Kazuyuki Fujii, Hiroshi Oike and Tatsuo Suzuki

Universal Yang-Mills Action on Four Dimensional Manifolds

Latex file ; 14 pages ; 1 figure ; minor changes

Int.J.Geom.Meth.Mod.Phys.3:1331-1340,2006

null

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

null

The usual action of Yang-Mills theory is given by the quadratic form of curvatures of a principal G bundle defined on four dimensional manifolds. The non-linear generalization which is known as the Born-Infeld action has been given. In this paper we give another non-linear generalization on four dimensional manifolds and call it a universal Yang-Mills action. The advantage of our model is that the action splits {\bf automatically} into two parts consisting of self-dual and anti-self-dual directions. Namely, we have automatically the self-dual and anti-self-dual equations without solving the equations of motion as in a usual case. Our method may be applicable to recent non-commutative Yang-Mills theories studied widely.

[ { "created": "Tue, 21 Feb 2006 02:20:56 GMT", "version": "v1" }, { "created": "Sun, 26 Feb 2006 23:47:30 GMT", "version": "v2" } ]

2008-11-26

[ [ "Fujii", "Kazuyuki", "" ], [ "Oike", "Hiroshi", "" ], [ "Suzuki", "Tatsuo", "" ] ]

The usual action of Yang-Mills theory is given by the quadratic form of curvatures of a principal G bundle defined on four dimensional manifolds. The non-linear generalization which is known as the Born-Infeld action has been given. In this paper we give another non-linear generalization on four dimensional manifolds and call it a universal Yang-Mills action. The advantage of our model is that the action splits {\bf automatically} into two parts consisting of self-dual and anti-self-dual directions. Namely, we have automatically the self-dual and anti-self-dual equations without solving the equations of motion as in a usual case. Our method may be applicable to recent non-commutative Yang-Mills theories studied widely.

9.758697

9.515786

9.215752

8.579277

9.016037

9.666907

8.981331

8.85415

8.845567

10.318682

8.874248

8.898043

9.190468

8.817789

8.723939

8.827329

8.866694

8.930922

8.957971

9.354693

8.714355

hep-th/0502089

Hitoshi Nishino

Hitoshi Nishino and Subhash Rajpoot

Dual Vector Multiplet Coupled to Dual N=1 Supergravity in 10D

20 pages, no figures

Phys.Rev. D71 (2005) 085011

10.1103/PhysRevD.71.085011

CSULB-PA-04-7

hep-th

null

We couple in superspace a `dual' vector multiplet (C_{m_1... m_7}, \l^\alpha) to the dual version of N=1 supergravity (e_m{}^a, \psi_m{}^\alpha, M_{m_1... m_6}, \chi_\a,\Phi) in ten-dimensions. Our new 7-form field C has its 8-form field strength H dual to the 2-form field strength F of the conventional vector multiplet. We have found that the H-Bianchi identity must have the form N\wedge F, where N is the 7-form field strength in dual supergravity. We also see why only the dual version of supergravity couples to the dual vector multiplet consistently. The potential anomaly for the dual vector multiplet can be cancelled for the particular gauge group U(1)^{496} by the Green-Schwarz mechanism. As a by-product, we also give the globally supersymmetric Abelian Dirac-Born-Infeld interactions for the dual vector multiplet for the first time.

[ { "created": "Wed, 9 Feb 2005 07:28:26 GMT", "version": "v1" } ]

2009-11-11

[ [ "Nishino", "Hitoshi", "" ], [ "Rajpoot", "Subhash", "" ] ]

We couple in superspace a `dual' vector multiplet (C_{m_1... m_7}, \l^\alpha) to the dual version of N=1 supergravity (e_m{}^a, \psi_m{}^\alpha, M_{m_1... m_6}, \chi_\a,\Phi) in ten-dimensions. Our new 7-form field C has its 8-form field strength H dual to the 2-form field strength F of the conventional vector multiplet. We have found that the H-Bianchi identity must have the form N\wedge F, where N is the 7-form field strength in dual supergravity. We also see why only the dual version of supergravity couples to the dual vector multiplet consistently. The potential anomaly for the dual vector multiplet can be cancelled for the particular gauge group U(1)^{496} by the Green-Schwarz mechanism. As a by-product, we also give the globally supersymmetric Abelian Dirac-Born-Infeld interactions for the dual vector multiplet for the first time.

8.964898

8.417332

10.036361

7.514991

8.334407

8.469557

8.125234

7.651022

7.780195

10.460025

7.508034

7.906128

8.66506

7.719395

8.12619

8.012487

7.826438

8.30681

7.989671

8.562652

7.796616

hep-th/0206209

Yu. M. Zinoviev

Massive Spin-2 Supermultiplets

23 pages, plain LaTeX, no figures

null

hep-th

null

In this paper we construct explicit Lagrangian formulation for the massive spin-2 supermultiplets with N = k supersymmetries k = 1,2,3,4. Such multiplets contain 2k particles with spin-3/2, so there must exist N = 2k local supersymmetries in the full nonlinear theories spontaneously broken so that only N = k global supersymmetries remain unbroken. In this paper we unhide these hidden supersymmetries by using gauge invariant formulation for massive high spin particles. Such formulation, operating with the right set of physical degrees of freedom from the very beginning and having non-singular massless limit, turns out to be very well suited for construction of massive supermultiplets from the well known massless ones. For all four cases considered we have managed to show that the massless limit of the supertransformations for N = k massive supermultiplet could be uplifted to N = 2k supersymmetry. This, in turn, allows one to investigate which extended supergravity models such massive multiplets could arise from. Our results show a clear connection of possible models with the five-dimensional extended supergravities.

[ { "created": "Sun, 23 Jun 2002 16:22:55 GMT", "version": "v1" } ]

2007-05-23

[ [ "Zinoviev", "Yu. M.", "" ] ]

In this paper we construct explicit Lagrangian formulation for the massive spin-2 supermultiplets with N = k supersymmetries k = 1,2,3,4. Such multiplets contain 2k particles with spin-3/2, so there must exist N = 2k local supersymmetries in the full nonlinear theories spontaneously broken so that only N = k global supersymmetries remain unbroken. In this paper we unhide these hidden supersymmetries by using gauge invariant formulation for massive high spin particles. Such formulation, operating with the right set of physical degrees of freedom from the very beginning and having non-singular massless limit, turns out to be very well suited for construction of massive supermultiplets from the well known massless ones. For all four cases considered we have managed to show that the massless limit of the supertransformations for N = k massive supermultiplet could be uplifted to N = 2k supersymmetry. This, in turn, allows one to investigate which extended supergravity models such massive multiplets could arise from. Our results show a clear connection of possible models with the five-dimensional extended supergravities.

9.912734

9.702766

10.645612

9.315141

10.11126

10.069043

9.850529

9.559849

9.361399

11.204897

9.682851

9.240902

9.881418

9.462329

9.608743

9.349092

9.457004

9.391314

9.778263

10.07253

9.453215

hep-th/9712152

Sergei Ketov

Sergei V. Ketov (ITP, University of Hannover)

The hypermultiplet low-energy effective action, N=2 supersymmetry breaking and confinement

7 pages, LaTeX, macros included (Talk given at the 31st International Ahrenshoop Symposium on the Theory of Elementary Particles, 2-6 September 1997, in Buckow, Germany, and the String Workshop, 14-15 November 1997, in Wittenberg, Germany)

null

ITP-UH-34/97

hep-th

null

Some exact solutions to the hypermultiplet low-energy effective action in N=2 supersymmetric four-dimensional gauge field theories with massive `quark' hypermultiplets are discussed. The need for a spontaneous N=2 supersymmetry breaking is emphasized, because of its possible relevance in the search for an ultimate theoretical solution to the confinement problem.

[ { "created": "Tue, 16 Dec 1997 13:26:26 GMT", "version": "v1" } ]

2007-05-23

[ [ "Ketov", "Sergei V.", "", "ITP, University of Hannover" ] ]

Some exact solutions to the hypermultiplet low-energy effective action in N=2 supersymmetric four-dimensional gauge field theories with massive `quark' hypermultiplets are discussed. The need for a spontaneous N=2 supersymmetry breaking is emphasized, because of its possible relevance in the search for an ultimate theoretical solution to the confinement problem.

14.027162

11.191734

12.761544

11.468461

11.377522

11.613813

11.307738

10.113235

11.149478

13.717984

10.847529

12.210208

11.865904

11.632252

11.719193

12.055644

11.531077

11.667173

11.875965

13.263455

11.2799

hep-th/0212326

Namil Park

Yoonbai Kim, Chae Young Oh, Namil Park (Sungkyunkwan U.)

Classical Geometry of De Sitter Spacetime : An Introductory Review

40 pages, 12 figures (ps or eps)

null

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

null

Classical geometry of de Sitter spacetime is reviewed in arbitrary dimensions. Topics include coordinate systems, geodesic motions, and Penrose diagrams with detailed calculations.

[ { "created": "Sun, 29 Dec 2002 16:48:50 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kim", "Yoonbai", "", "Sungkyunkwan U." ], [ "Oh", "Chae Young", "", "Sungkyunkwan U." ], [ "Park", "Namil", "", "Sungkyunkwan U." ] ]

Classical geometry of de Sitter spacetime is reviewed in arbitrary dimensions. Topics include coordinate systems, geodesic motions, and Penrose diagrams with detailed calculations.

18.110287

14.996536

11.25606

13.102205

10.705247

12.098521

11.827459

11.763784

14.769335

14.747343

12.767224

14.201543

13.164891

13.323136

13.704365

14.678477

13.465387

13.34607

13.863803

13.130354

13.345925

1312.1279

Giampiero Esposito Dr.

Elisabetta Di Grezia, Giampiero Esposito, Patrizia Vitale

Self-dual road to noncommutative gravity with twist: a new analysis

37 pages, Revtex. Appendix A is a recollection of mathematical tools used in the paper. In the final version, Appendix C and some valuable References have been added. arXiv admin note: text overlap with arXiv:hep-th/0703014 by other authors. Misprints in Eq. (10.23) and (10.25) have been amended, as well as their propagation in Sec. X

Phys.Rev. D89 (2014) 064039, Erratum-ibid. D90 (2014) 129901

10.1103/PhysRevD.89.064039

null

hep-th gr-qc

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

The field equations of noncommutative gravity can be obtained by replacing all exterior products by twist-deformed exterior products in the action functional of general relativity, and are here studied by requiring that the torsion 2-form should vanish, and that the Lorentz-Lie-algebra- valued part of the full connection 1-form should be self-dual. Other two conditions, expressing self-duality of a pair 2-forms occurring in the full curvature 2-form, are also imposed. This leads to a systematic solution strategy, here displayed for the first time, where all parts of the connection 1-form are first evaluated, hence the full curvature 2-form, and eventually all parts of the tetrad 1-form, when expanded on the basis of {\gamma}-matrices. By assuming asymptotic expansions which hold up to first order in the noncommutativity matrix in the neighbourhood of the vanishing value for noncommutativity, we find a family of self-dual solutions of the field equations. This is generated by solving first a inhomogeneous wave equation on 1-forms in a classical curved spacetime (which is itself self-dual and solves the vacuum Einstein equations), subject to the Lorenz gauge condition. In particular, when the classical undeformed geometry is Kasner spacetime, the above scheme is fully computable out of solutions of the scalar wave equation in such a Kasner model.

[ { "created": "Wed, 4 Dec 2013 18:53:47 GMT", "version": "v1" }, { "created": "Mon, 3 Feb 2014 17:42:19 GMT", "version": "v2" }, { "created": "Sat, 11 Oct 2014 14:54:14 GMT", "version": "v3" }, { "created": "Sun, 23 Nov 2014 18:07:04 GMT", "version": "v4" } ]

2015-06-18

[ [ "Di Grezia", "Elisabetta", "" ], [ "Esposito", "Giampiero", "" ], [ "Vitale", "Patrizia", "" ] ]

The field equations of noncommutative gravity can be obtained by replacing all exterior products by twist-deformed exterior products in the action functional of general relativity, and are here studied by requiring that the torsion 2-form should vanish, and that the Lorentz-Lie-algebra- valued part of the full connection 1-form should be self-dual. Other two conditions, expressing self-duality of a pair 2-forms occurring in the full curvature 2-form, are also imposed. This leads to a systematic solution strategy, here displayed for the first time, where all parts of the connection 1-form are first evaluated, hence the full curvature 2-form, and eventually all parts of the tetrad 1-form, when expanded on the basis of {\gamma}-matrices. By assuming asymptotic expansions which hold up to first order in the noncommutativity matrix in the neighbourhood of the vanishing value for noncommutativity, we find a family of self-dual solutions of the field equations. This is generated by solving first a inhomogeneous wave equation on 1-forms in a classical curved spacetime (which is itself self-dual and solves the vacuum Einstein equations), subject to the Lorenz gauge condition. In particular, when the classical undeformed geometry is Kasner spacetime, the above scheme is fully computable out of solutions of the scalar wave equation in such a Kasner model.

11.234843

11.803558

11.708094

10.977348

12.012049

12.067618

11.802584

11.215617

10.880916

12.300844

11.218575

11.539424

11.097479

11.075021

10.829939

11.120019

11.223106

11.044643

10.985387

11.40308

10.876755

hep-th/9708052

Elisha Atzmon

Yuval Ne'eman

A Superconnection for Riemannian Gravity as Spontaneously Broken SL(4,R) Gauge Theory

11 pages, latex

Phys.Lett.B427:19-25,1998

10.1016/S0370-2693(98)00326-8

null

hep-th

null

A superconnection is a supermatrix whose even part contains the gauge-potential one-forms of a local gauge group, while the odd parts contain the (0-form) Higgs fields; the combined grading is thus odd everywhere. We demonstrate that the simple supergroup ${\bar P}(4,R)$ (rank=3) in Kac' classification (even subgroup $\bar {SL}(4,R)$) prverline {SL}(4,R)$) provides for the most economical spontaneous breaking of $\bar{SL}(4,R)$ as gauge group, leaving just local $\bar{SO}(1,3)$ unbroken. As a result, post-Riemannian SKY gravity yields Einstein's theory as a low-energy (longer range) effective theory. The theory is renormalizable and may be unitary.

[ { "created": "Sun, 10 Aug 1997 11:09:30 GMT", "version": "v1" } ]

2011-07-19

[ [ "Ne'eman", "Yuval", "" ] ]

A superconnection is a supermatrix whose even part contains the gauge-potential one-forms of a local gauge group, while the odd parts contain the (0-form) Higgs fields; the combined grading is thus odd everywhere. We demonstrate that the simple supergroup ${\bar P}(4,R)$ (rank=3) in Kac' classification (even subgroup $\bar {SL}(4,R)$) prverline {SL}(4,R)$) provides for the most economical spontaneous breaking of $\bar{SL}(4,R)$ as gauge group, leaving just local $\bar{SO}(1,3)$ unbroken. As a result, post-Riemannian SKY gravity yields Einstein's theory as a low-energy (longer range) effective theory. The theory is renormalizable and may be unitary.

18.909349

20.159328

22.223318

18.732187

21.303146

23.342888

19.264046

17.98307

22.086618

20.072321

19.102526

17.806284

17.062996

17.207502

17.611666

17.883167

18.482197

17.471153

17.222179

17.260664

16.571537

hep-th/0507062

Olaf Lechtenfeld

Chong-Sun Chu, Olaf Lechtenfeld

Time-Space Noncommutative Abelian Solitons

1+10 pages

Phys.Lett. B625 (2005) 145-155

10.1016/j.physletb.2005.08.054

null

hep-th

null

We demonstrate the construction of solitons for a time-space Moyal-deformed integrable U(n) sigma model (the Ward model) in 2+1 dimensions. These solitons cannot travel parallel to the noncommutative spatial direction. For the U(1) case, the rank-one single-soliton configuration is constructed explicitly and is singular in the commutative limit. The projection to 1+1 dimensions reduces it to a noncommutative instanton-like configuration. The latter is governed by a new integrable equation, which describes a Moyal-deformed sigma model with a particular Euclidean metric and a magnetic field.

[ { "created": "Wed, 6 Jul 2005 19:49:22 GMT", "version": "v1" } ]

2010-04-05

[ [ "Chu", "Chong-Sun", "" ], [ "Lechtenfeld", "Olaf", "" ] ]

We demonstrate the construction of solitons for a time-space Moyal-deformed integrable U(n) sigma model (the Ward model) in 2+1 dimensions. These solitons cannot travel parallel to the noncommutative spatial direction. For the U(1) case, the rank-one single-soliton configuration is constructed explicitly and is singular in the commutative limit. The projection to 1+1 dimensions reduces it to a noncommutative instanton-like configuration. The latter is governed by a new integrable equation, which describes a Moyal-deformed sigma model with a particular Euclidean metric and a magnetic field.

10.911934

9.917642

12.656895

9.930068

10.797478

10.950616

10.138891

10.082403

10.51436

15.087831

9.895418

10.503291

11.598995

10.488599

10.263931

10.497397

10.368044

10.515255

10.594145

11.407561

10.534916

1305.4777

Krzysztof Andrzejewski

K. Andrzejewski, J. Gonera

Unitary representations of N-conformal Galilei group

References updated

null

10.1103/PhysRevD.88.065011

null

hep-th math-ph math.MP

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

All unitary irreducible representations of centrally extended (N-odd) N-conformal Galilei group are constructed. The "on-shell" action of the group is derived and shown to coincide, in special but most important case, with that obtained in: J. Gomis, K. Kamimura, Phys. Rev. {\bf D85} (2012), 045023.

[ { "created": "Tue, 21 May 2013 10:31:25 GMT", "version": "v1" }, { "created": "Thu, 13 Jun 2013 09:05:10 GMT", "version": "v2" } ]

2013-09-18

[ [ "Andrzejewski", "K.", "" ], [ "Gonera", "J.", "" ] ]

All unitary irreducible representations of centrally extended (N-odd) N-conformal Galilei group are constructed. The "on-shell" action of the group is derived and shown to coincide, in special but most important case, with that obtained in: J. Gomis, K. Kamimura, Phys. Rev. {\bf D85} (2012), 045023.

12.08281

10.059011

12.812481

9.591677

9.413758

9.578854

10.279916

8.694878

9.540074

11.563721

9.06765

9.19264

9.49089

8.496305

9.023308

8.418008

8.783357

9.140001

8.630664

10.153039

8.625857

0903.1353

Amos Yarom

Fourth sound of holographic superfluids

20 pages, 6 figures; removed a discussion on a variant of fourth sound

JHEP 0907:070,2009

10.1088/1126-6708/2009/07/070

PUPT-2293

hep-th

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

We compute fourth sound for superfluids dual to a charged scalar and a gauge field in an AdS_4 background. For holographic superfluids with condensates that have a large scaling dimension (greater than approximately two), we find that fourth sound approaches first sound at low temperatures. For condensates that a have a small scaling dimension it exhibits non-conformal behavior at low temperatures which may be tied to the non-conformal behavior of the order parameter of the superfluid. We show that by introducing an appropriate scalar potential, conformal invariance can be enforced at low temperatures.

[ { "created": "Mon, 9 Mar 2009 18:36:09 GMT", "version": "v1" }, { "created": "Fri, 8 May 2009 13:57:26 GMT", "version": "v2" } ]

2009-07-24

[ [ "Yarom", "Amos", "" ] ]

We compute fourth sound for superfluids dual to a charged scalar and a gauge field in an AdS_4 background. For holographic superfluids with condensates that have a large scaling dimension (greater than approximately two), we find that fourth sound approaches first sound at low temperatures. For condensates that a have a small scaling dimension it exhibits non-conformal behavior at low temperatures which may be tied to the non-conformal behavior of the order parameter of the superfluid. We show that by introducing an appropriate scalar potential, conformal invariance can be enforced at low temperatures.

9.254471

8.802378

10.447371

8.728351

8.565475

9.442161

9.090466

9.177407

8.67139

10.993892

8.21286

8.744324

8.776749

8.376579

8.436841

8.31937

8.191429

8.411616

8.35275

8.837215

8.22291

1902.01912

Musema Sinamuli Mr

Musema Sinamuli and Robert B. Mann

Holographic Complexity and Charged Scalar Fields

9 pages, 2 figures, typos corrected from earlier version, reference added

Phys. Rev. D 99, 106013 (2019)

10.1103/PhysRevD.99.106013

null

hep-th

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

We construct a time-dependent expression of the computational complexity of a quantum system which consists of two conformal complex scalar field theories in d dimensions coupled to constant electric potentials and defined on the boundaries of a charged AdS black hole in (d+1) dimensions. Using a suitable choice of the reference state, Hamiltonian gates and the metric on the manifold of unitaries, we find that the complexity grows linearly for a relatively large interval of time. We also remark that for scalar fields with very small charges the rate of variation of the complexity cannot exceed a maximum value known as the Lloyd bound.

[ { "created": "Tue, 5 Feb 2019 21:18:23 GMT", "version": "v1" }, { "created": "Fri, 8 Feb 2019 17:39:43 GMT", "version": "v2" }, { "created": "Fri, 10 May 2019 20:15:36 GMT", "version": "v3" }, { "created": "Wed, 15 May 2019 01:18:28 GMT", "version": "v4" } ]

2019-05-29

[ [ "Sinamuli", "Musema", "" ], [ "Mann", "Robert B.", "" ] ]

We construct a time-dependent expression of the computational complexity of a quantum system which consists of two conformal complex scalar field theories in d dimensions coupled to constant electric potentials and defined on the boundaries of a charged AdS black hole in (d+1) dimensions. Using a suitable choice of the reference state, Hamiltonian gates and the metric on the manifold of unitaries, we find that the complexity grows linearly for a relatively large interval of time. We also remark that for scalar fields with very small charges the rate of variation of the complexity cannot exceed a maximum value known as the Lloyd bound.

14.649725

13.362544

13.688831

12.174773

12.195257

12.948261

13.302004

11.945494

12.316024

13.886503

13.089062

12.913038

13.536341

12.545047

12.148651

12.39524

12.478824

12.502838

12.595943

13.593384

12.858069

1710.11235

Yi-Nan Wang

Washington Taylor, Yi-Nan Wang

Scanning the skeleton of the 4D F-theory landscape

41 pages, 12 figures

null

10.1007/JHEP01(2018)111

null

hep-th

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

Using a one-way Monte Carlo algorithm from several different starting points, we get an approximation to the distribution of toric threefold bases that can be used in four-dimensional F-theory compactification. We separate the threefold bases into "resolvable" ones where the Weierstrass polynomials $(f,g)$ can vanish to order (4,6) or higher on codimension-two loci and the "good" bases where these (4,6) loci are not allowed. A simple estimate suggests that the number of distinct resolvable base geometries exceeds $10^{3000}$, with over $10^{250}$ "good" bases, though the actual numbers are likely much larger. We find that the good bases are concentrated at specific "end points" with special isolated values of $h^{1,1}$ that are bigger than 1,000. These end point bases give Calabi-Yau fourfolds with specific Hodge numbers mirror to elliptic fibrations over simple threefolds. The non-Higgsable gauge groups on the end point bases are almost entirely made of products of $E_8$, $F_4$, $G_2$ and SU(2). Nonetheless, we find a large class of good bases with a single non-Higgsable SU(3). Moreover, by randomly contracting the end point bases, we find many resolvable bases with $h^{1,1}(B)\sim 50-200$ that cannot be contracted to another smooth threefold base.

[ { "created": "Mon, 30 Oct 2017 20:51:23 GMT", "version": "v1" } ]

2018-03-14

[ [ "Taylor", "Washington", "" ], [ "Wang", "Yi-Nan", "" ] ]

Using a one-way Monte Carlo algorithm from several different starting points, we get an approximation to the distribution of toric threefold bases that can be used in four-dimensional F-theory compactification. We separate the threefold bases into "resolvable" ones where the Weierstrass polynomials $(f,g)$ can vanish to order (4,6) or higher on codimension-two loci and the "good" bases where these (4,6) loci are not allowed. A simple estimate suggests that the number of distinct resolvable base geometries exceeds $10^{3000}$, with over $10^{250}$ "good" bases, though the actual numbers are likely much larger. We find that the good bases are concentrated at specific "end points" with special isolated values of $h^{1,1}$ that are bigger than 1,000. These end point bases give Calabi-Yau fourfolds with specific Hodge numbers mirror to elliptic fibrations over simple threefolds. The non-Higgsable gauge groups on the end point bases are almost entirely made of products of $E_8$, $F_4$, $G_2$ and SU(2). Nonetheless, we find a large class of good bases with a single non-Higgsable SU(3). Moreover, by randomly contracting the end point bases, we find many resolvable bases with $h^{1,1}(B)\sim 50-200$ that cannot be contracted to another smooth threefold base.

8.901081

9.5005

10.355281

9.022759

9.986157

9.952543

9.524309

9.208669

9.112075

11.558191

8.845311

8.569363

9.140681

8.762012

8.621996

8.900975

8.726338

8.873032

8.697392

9.216971

8.630892

1010.4302

Bartosz Fornal

Jonathan M. Arnold, Bartosz Fornal, Mark B. Wise

Standard Model Vacua for Two-dimensional Compactifications

7 pages, 2 figures; v2: published in JHEP

JHEP 1012:083,2010

10.1007/JHEP12(2010)083

CALT 68-2805

hep-th hep-ph

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

We examine the structure of lower-dimensional standard model vacua for two-dimensional compactifications (on a 2D torus and on a 2D sphere). In the case of the torus we find a new standard model vacuum for a large range of neutrino masses consistent with experiment. Quantum effects play a crucial role in the existence of this vacuum. For the compactification on a sphere the classical terms dominate the effective potential for large radii and a stable vacuum is achieved only by introducing a large magnetic flux. We argue that there are no two-dimensional standard model vacua for compactifications on a surface of genus greater than one.

[ { "created": "Wed, 20 Oct 2010 20:00:01 GMT", "version": "v1" }, { "created": "Sat, 1 Jan 2011 21:00:01 GMT", "version": "v2" } ]

2011-01-04

[ [ "Arnold", "Jonathan M.", "" ], [ "Fornal", "Bartosz", "" ], [ "Wise", "Mark B.", "" ] ]

We examine the structure of lower-dimensional standard model vacua for two-dimensional compactifications (on a 2D torus and on a 2D sphere). In the case of the torus we find a new standard model vacuum for a large range of neutrino masses consistent with experiment. Quantum effects play a crucial role in the existence of this vacuum. For the compactification on a sphere the classical terms dominate the effective potential for large radii and a stable vacuum is achieved only by introducing a large magnetic flux. We argue that there are no two-dimensional standard model vacua for compactifications on a surface of genus greater than one.

8.859668

8.68683

8.481127

8.334748

9.079483

8.7196

8.372263

8.673018

8.477362

8.690227

8.711294

8.56644

8.737874

8.820935

8.711259

8.80164

8.544512

8.649296

8.665545

8.52993

8.733544

1408.0655

Changhyun Ahn

Higher Spin Currents in Wolf Space: Part II

176 pages

null

10.1088/0264-9381/32/1/015023

null

hep-th

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

The 16 lowest higher spin currents of spins (1, 3/2, 3/2, 2), (3/2, 2, 2, 5/2 ), (3/2, 2, 2, 5/2) and (2, 5/2, 5/2, 3) in terms of N=2 WZW affine currents were obtained in the N=4 superconformal Wolf space coset SU(5)/[SU(3) x SU(2) x U(1)] previously. By calculating the operator product expansions (OPEs) between the above higher spin currents which are contained in an extension of large N=4 nonlinear superconformal algebra, the next 16 higher spin currents of spins (2, 5/2, 5/2, 3), (5/2, 3, 3, 7/2 ), (5/2, 3, 3, 7/2) and (3, 7/2, 7/2, 4) are determined from the right hand sides of these OPEs. Moreover, the composite fields consisting of both the 11 currents in the large N=4 nonlinear superconformal algebra and the above 16 lowest higher spin currents also occur in the right hand sides of these OPEs. The latter appears quadratically (and linearly) in the fusion rules together with large N=4 nonlinear superconformal family of the identity operator.

[ { "created": "Mon, 4 Aug 2014 12:17:04 GMT", "version": "v1" } ]

2015-06-22

[ [ "Ahn", "Changhyun", "" ] ]

The 16 lowest higher spin currents of spins (1, 3/2, 3/2, 2), (3/2, 2, 2, 5/2 ), (3/2, 2, 2, 5/2) and (2, 5/2, 5/2, 3) in terms of N=2 WZW affine currents were obtained in the N=4 superconformal Wolf space coset SU(5)/[SU(3) x SU(2) x U(1)] previously. By calculating the operator product expansions (OPEs) between the above higher spin currents which are contained in an extension of large N=4 nonlinear superconformal algebra, the next 16 higher spin currents of spins (2, 5/2, 5/2, 3), (5/2, 3, 3, 7/2 ), (5/2, 3, 3, 7/2) and (3, 7/2, 7/2, 4) are determined from the right hand sides of these OPEs. Moreover, the composite fields consisting of both the 11 currents in the large N=4 nonlinear superconformal algebra and the above 16 lowest higher spin currents also occur in the right hand sides of these OPEs. The latter appears quadratically (and linearly) in the fusion rules together with large N=4 nonlinear superconformal family of the identity operator.

4.098927

3.312531

4.519521

3.476413

3.827031

3.499605

3.541229

3.301696

3.561471

4.695261

3.448887

3.635606

4.140671

3.739165

3.806414

3.716236

3.738216

3.691703

3.698753

4.149967

3.745549

1906.10894

Yusef Maleki

Yusef Maleki and Alireza Maleki

Speed limit of quantum dynamics near the event horizon of black holes

6 pages, 5 figures

null

10.1016/j.physletb.2020.135700

null

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

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

Quantum mechanics imposes a fundamental bound on the minimum time required for the quantum systems to evolve between two states of interest. This bound introduces a limit on the speed of the dynamical evolution of the systems, known as the quantum speed limit. We show that black holes can drastically affect the speed limit of a two-level fermionic quantum system subjected to an open quantum dynamics. As we demonstrate, the quantum speed limit can enhance at the vicinity of a black hole's event horizon in the Schwarzschild spacetime.

[ { "created": "Wed, 26 Jun 2019 07:54:11 GMT", "version": "v1" } ]

2020-08-19

[ [ "Maleki", "Yusef", "" ], [ "Maleki", "Alireza", "" ] ]

Quantum mechanics imposes a fundamental bound on the minimum time required for the quantum systems to evolve between two states of interest. This bound introduces a limit on the speed of the dynamical evolution of the systems, known as the quantum speed limit. We show that black holes can drastically affect the speed limit of a two-level fermionic quantum system subjected to an open quantum dynamics. As we demonstrate, the quantum speed limit can enhance at the vicinity of a black hole's event horizon in the Schwarzschild spacetime.

8.96516

9.089443

8.216847

8.261065

9.464208

10.205741

9.417368

9.384627

8.166323

7.60439

9.367076

8.838394

8.542552

8.464127

9.047415

8.695565

8.774435

8.557766

8.893447

8.446563

8.906316

hep-th/0508244

Danilo Mauro

P. Carta, E. Gozzi, D. Mauro

Koopman-von Neumann Formulation of Classical Yang-Mills Theories: I

46 pages, Latex

Annalen Phys. 15 (2006) 177-215

10.1002/andp.200510177

null

hep-th

null

In this paper we present the Koopman-von Neumann (KvN) formulation of classical non-Abelian gauge field theories. In particular we shall explore the functional (or classical path integral) counterpart of the KvN method. In the quantum path integral quantization of Yang-Mills theories concepts like gauge-fixing and Faddeev-Popov determinant appear in a quite natural way. We will prove that these same objects are needed also in this classical path integral formulation for Yang-Mills theories. We shall also explore the classical path integral counterpart of the BFV formalism and build all the associated universal and gauge charges. These last are quite different from the analog quantum ones and we shall show the relation between the two. This paper lays the foundation of this formalism which, due to the many auxiliary fields present, is rather heavy. Applications to specific topics outlined in the paper will appear in later publications.

[ { "created": "Wed, 31 Aug 2005 13:14:42 GMT", "version": "v1" } ]

2009-11-11

[ [ "Carta", "P.", "" ], [ "Gozzi", "E.", "" ], [ "Mauro", "D.", "" ] ]

In this paper we present the Koopman-von Neumann (KvN) formulation of classical non-Abelian gauge field theories. In particular we shall explore the functional (or classical path integral) counterpart of the KvN method. In the quantum path integral quantization of Yang-Mills theories concepts like gauge-fixing and Faddeev-Popov determinant appear in a quite natural way. We will prove that these same objects are needed also in this classical path integral formulation for Yang-Mills theories. We shall also explore the classical path integral counterpart of the BFV formalism and build all the associated universal and gauge charges. These last are quite different from the analog quantum ones and we shall show the relation between the two. This paper lays the foundation of this formalism which, due to the many auxiliary fields present, is rather heavy. Applications to specific topics outlined in the paper will appear in later publications.

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10.620968

hep-th/0608224

Shankaranarayanan S

L. Sriramkumar (HRI, Allahabad), S. Shankaranarayanan (ICTP, Trieste; AEI, Golm)

Path integral duality and Planck scale corrections to the primordial spectrum in exponential inflation

12 pages, 1 figure, RevTex4 format

JHEP 0612:050,2006

10.1088/1126-6708/2006/12/050

AEI-2006-069

hep-th astro-ph gr-qc

null

The enormous red-shifting of the modes during the inflationary epoch suggests that physics at the Planck scale may modify the standard, nearly, scale-invariant, primordial, density perturbation spectrum. Under the principle of path-integral duality, the space-time behaves as though it has a minimal length $L_{_{\rm P}}$ (which we shall assume to be of the order of the Planck length), a feature that is expected to arise when the quantum gravitational effects on the matter fields have been taken into account. Using the method of path integral duality, in this work, we evaluate the Planck scale corrections to the spectrum of density perturbations in the case of exponential inflation. We find that the amplitude of the corrections is of the order of $({\cal H}/M_{_{\rm P}})$, where ${\cal H}$ and $M_{_{\rm P}}$ denote the inflationary and the Planck energy scales, respectively. We also find that the corrections turn out to be completely independent of scale. We briefly discuss the implications of our result, and also comment on how it compares with an earlier result.

[ { "created": "Thu, 31 Aug 2006 13:19:17 GMT", "version": "v1" } ]

2010-02-03

[ [ "Sriramkumar", "L.", "", "HRI, Allahabad" ], [ "Shankaranarayanan", "S.", "", "ICTP, Trieste;\n AEI, Golm" ] ]

The enormous red-shifting of the modes during the inflationary epoch suggests that physics at the Planck scale may modify the standard, nearly, scale-invariant, primordial, density perturbation spectrum. Under the principle of path-integral duality, the space-time behaves as though it has a minimal length $L_{_{\rm P}}$ (which we shall assume to be of the order of the Planck length), a feature that is expected to arise when the quantum gravitational effects on the matter fields have been taken into account. Using the method of path integral duality, in this work, we evaluate the Planck scale corrections to the spectrum of density perturbations in the case of exponential inflation. We find that the amplitude of the corrections is of the order of $({\cal H}/M_{_{\rm P}})$, where ${\cal H}$ and $M_{_{\rm P}}$ denote the inflationary and the Planck energy scales, respectively. We also find that the corrections turn out to be completely independent of scale. We briefly discuss the implications of our result, and also comment on how it compares with an earlier result.

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hep-th/0411232

Stefano Bellucci

S. Bellucci, A.V. Galajinsky, E. Latini

New insight into WDVV equation

16 pages, no figures, LaTeX file, PACS: 04.60.Ds; 11.30.Pb

Phys.Rev. D71 (2005) 044023

10.1103/PhysRevD.71.044023

null

hep-th

null

We show that Witten-Dijkgraaf-Verlinde-Verlinde equation underlies the construction of N=4 superconformal multi--particle mechanics in one dimension, including a N=4 superconformal Calogero model.

[ { "created": "Thu, 25 Nov 2004 10:02:46 GMT", "version": "v1" } ]

2009-11-10

[ [ "Bellucci", "S.", "" ], [ "Galajinsky", "A. V.", "" ], [ "Latini", "E.", "" ] ]

We show that Witten-Dijkgraaf-Verlinde-Verlinde equation underlies the construction of N=4 superconformal multi--particle mechanics in one dimension, including a N=4 superconformal Calogero model.

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hep-th/0603026

Lorenzo Sorbo

Marco Peloso, Lorenzo Sorbo, Gianmassimo Tasinato

Standard 4d gravity on a brane in six dimensional flux compactifications

24 pages, 1 figure; corrected typos, added references; final version

Phys.Rev.D73:104025,2006

10.1103/PhysRevD.73.104025

null

hep-th gr-qc hep-ph

null

We consider a six dimensional space-time, in which two of the dimensions are compactified by a flux. Matter can be localized on a codimension one brane coupled to the bulk gauge field and wrapped around an axis of symmetry of the internal space. By studying the linear perturbations around this background, we show that the gravitational interaction between sources on the brane is described by Einstein 4d gravity at large distances. Our model provides a consistent setup for the study of gravity in the rugby (or football) compactification, without having to deal with the complications of a delta-like, codimension two brane. To our knowledge, this is the first complete study of gravity in a realistic brane model with two extra dimensions, in which the mechanism of stabilization of the extra space is consistently taken into account.

[ { "created": "Sun, 5 Mar 2006 18:31:01 GMT", "version": "v1" }, { "created": "Mon, 22 May 2006 12:26:17 GMT", "version": "v2" } ]

2008-11-26

[ [ "Peloso", "Marco", "" ], [ "Sorbo", "Lorenzo", "" ], [ "Tasinato", "Gianmassimo", "" ] ]

We consider a six dimensional space-time, in which two of the dimensions are compactified by a flux. Matter can be localized on a codimension one brane coupled to the bulk gauge field and wrapped around an axis of symmetry of the internal space. By studying the linear perturbations around this background, we show that the gravitational interaction between sources on the brane is described by Einstein 4d gravity at large distances. Our model provides a consistent setup for the study of gravity in the rugby (or football) compactification, without having to deal with the complications of a delta-like, codimension two brane. To our knowledge, this is the first complete study of gravity in a realistic brane model with two extra dimensions, in which the mechanism of stabilization of the extra space is consistently taken into account.

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