LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

hep-th/9812100

Kazuo Hosomiti

K. Hosomichi (Univ. of Tokyo), Y. Sugawara (Univ. of Tokyo)

Hilbert Space of Space-time SCFT in AdS_3 Supersting and T^{4kp}/S_{kp} SCFT

23pages, no figures, LaTeX. Some discussions added. The final version to be published in JHEP

JHEP 9901:013,1999

10.1088/1126-6708/1999/01/013

UT-832

hep-th

null

We explore the superstring theory on AdS_3 x S^3 x T^4 in the framework given in hep-th/9806194. We argue on the Hilbert space of "space-time CFT", and especially construct a suitable vacuum of this CFT from the physical degrees of freedom of the superstring theory in bulk. We first construct it explicitly in the case of p=1, and then present a proposal for the general cases of p>1. After giving some completion of the GKS's constructions of the higher mode operators (in particular, of those including spin fields), we also make some comparison between the space-time CFT and T^{4kp}/S_{kp} SCFT, namely, with respect to the physical spectrum of chiral primaries and some algebraic structures of bosonic and fermionic oscillators in both theories. We also observe how our proposal about the Hilbert space of space-time CFT leads to a satisfactory correspondence between the spectrum of chiral primaries of both theories in the cases of p>1.

[ { "created": "Fri, 11 Dec 1998 23:50:22 GMT", "version": "v1" }, { "created": "Mon, 21 Dec 1998 05:58:15 GMT", "version": "v2" }, { "created": "Thu, 14 Jan 1999 05:13:24 GMT", "version": "v3" } ]

2010-02-03

[ [ "Hosomichi", "K.", "", "Univ. of Tokyo" ], [ "Sugawara", "Y.", "", "Univ. of Tokyo" ] ]

We explore the superstring theory on AdS_3 x S^3 x T^4 in the framework given in hep-th/9806194. We argue on the Hilbert space of "space-time CFT", and especially construct a suitable vacuum of this CFT from the physical degrees of freedom of the superstring theory in bulk. We first construct it explicitly in the case of p=1, and then present a proposal for the general cases of p>1. After giving some completion of the GKS's constructions of the higher mode operators (in particular, of those including spin fields), we also make some comparison between the space-time CFT and T^{4kp}/S_{kp} SCFT, namely, with respect to the physical spectrum of chiral primaries and some algebraic structures of bosonic and fermionic oscillators in both theories. We also observe how our proposal about the Hilbert space of space-time CFT leads to a satisfactory correspondence between the spectrum of chiral primaries of both theories in the cases of p>1.

11.714466

11.341018

13.045201

11.61833

11.419227

11.595813

11.652084

11.420741

11.532006

13.511712

11.180867

11.105719

12.638711

11.135568

11.142741

11.244251

11.149673

11.113316

11.196292

12.25166

11.122293

hep-th/9208028

Ian Kogan

Ian I. Kogan

Area Preserving Diffeomorphisms and $W_{\infty}$ Symmetry in a $2+1$ Chern-Simons Theory

17 pages, Latex file

Mod.Phys.Lett.A7:3717-3730,1992

10.1142/S021773239200313X

UBCTP 92-23

hep-th

null

We discuss the $W_{\infty}$ symmetry in the $2+1$ gauge theory with the Chern-Simons term. It is shown that the generators of this symmetry act on the ground state as the canonical transformations in the phase space. We shall also discuss the analogy between discrete states in $c=1$ string theory and Landau level states in $2+1$ gauge theory with Chern-Simons term.

[ { "created": "Tue, 11 Aug 1992 02:23:00 GMT", "version": "v1" } ]

2011-07-19

[ [ "Kogan", "Ian I.", "" ] ]

We discuss the $W_{\infty}$ symmetry in the $2+1$ gauge theory with the Chern-Simons term. It is shown that the generators of this symmetry act on the ground state as the canonical transformations in the phase space. We shall also discuss the analogy between discrete states in $c=1$ string theory and Landau level states in $2+1$ gauge theory with Chern-Simons term.

6.170527

4.749508

6.545645

5.145977

5.343312

5.312002

4.91237

5.315549

5.058259

6.709273

5.085622

5.442795

6.123676

5.519023

5.473658

5.490002

5.549442

5.553519

5.573636

6.306623

5.54263

1705.03480

Sergey Sibiryakov

Andrei O. Barvinsky, Diego Blas, Mario Herrero-Valea, Sergey M. Sibiryakov, Christian F. Steinwachs

Renormalization of gauge theories in the background-field approach

45 pages, no figures; references added, changes in the Introduction and Conclusions

null

10.1007/JHEP07(2018)035

CERN-TH-2017-099, INR-TH-2017-010, FR-PHENO-2017-011

hep-th gr-qc

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

Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin (BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show that gauge invariance is preserved by renormalization in local gauge field theories whenever they admit a sensible background-field formulation and anomaly-free path integral measure. This class encompasses Yang-Mills theories (with possibly Abelian subgroups) and relativistic gravity, including both renormalizable and non-renormalizable (effective) theories. Our results also hold for non-relativistic models such as Yang-Mills theories with anisotropic scaling or Horava gravity. They strengthen and generalize the existing results in the literature concerning the renormalization of gauge systems. Locality of the BRST construction is emphasized throughout the derivation. We illustrate our general approach with several explicit examples.

[ { "created": "Tue, 9 May 2017 18:13:52 GMT", "version": "v1" }, { "created": "Wed, 7 Feb 2018 09:55:41 GMT", "version": "v2" } ]

2018-08-01

[ [ "Barvinsky", "Andrei O.", "" ], [ "Blas", "Diego", "" ], [ "Herrero-Valea", "Mario", "" ], [ "Sibiryakov", "Sergey M.", "" ], [ "Steinwachs", "Christian F.", "" ] ]

Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin (BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show that gauge invariance is preserved by renormalization in local gauge field theories whenever they admit a sensible background-field formulation and anomaly-free path integral measure. This class encompasses Yang-Mills theories (with possibly Abelian subgroups) and relativistic gravity, including both renormalizable and non-renormalizable (effective) theories. Our results also hold for non-relativistic models such as Yang-Mills theories with anisotropic scaling or Horava gravity. They strengthen and generalize the existing results in the literature concerning the renormalization of gauge systems. Locality of the BRST construction is emphasized throughout the derivation. We illustrate our general approach with several explicit examples.

8.295517

8.508788

8.221431

7.630274

8.033066

8.22716

8.038153

7.466873

7.599369

9.360412

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7.768456

7.733764

7.696472

7.624519

7.739085

7.584784

7.889387

7.596316

7.880136

7.675464

1604.06354

Lukas Janssen

Spontaneous breaking of Lorentz symmetry in $(2+\epsilon)$-dimensional QED

7 pages, 3 figures, v2: presentation clarified and streamlined, flow diagrams added, references added, v3: additional comments and explanations, published version

Phys. Rev. D 94, 094013 (2016)

10.1103/PhysRevD.94.094013

null

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

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

The phase diagram of massless quantum electrodynamics in three space-time dimensions as a function of fermion flavor number $N$ exhibits two well-known phases: at large $N > N_c^{conf}$ the system is in a conformal gapless state, while for small $N < N_c^{\chi SB}$ the fermions are expected to develop a dynamical mass due to spontaneous chiral symmetry breaking. Using $\epsilon$ expansion near the lower critical dimension of 2, as well as the recent results on the generalization of the $F$ theorem to continuous dimension, we show that $N_c^{conf} > N_c^{\chi SB}$. There is therefore an intermediate range of values of $N$ at which a third phase is stabilized. We demonstrate that this phase is characterized by spontaneous breaking of Lorentz symmetry, in which a composite vector boson field acquires a vacuum expectation value with the fermions and the photon remaining massless.

[ { "created": "Thu, 21 Apr 2016 15:18:34 GMT", "version": "v1" }, { "created": "Thu, 21 Jul 2016 08:32:50 GMT", "version": "v2" }, { "created": "Tue, 15 Nov 2016 08:29:07 GMT", "version": "v3" } ]

2016-11-16

[ [ "Janssen", "Lukas", "" ] ]

The phase diagram of massless quantum electrodynamics in three space-time dimensions as a function of fermion flavor number $N$ exhibits two well-known phases: at large $N > N_c^{conf}$ the system is in a conformal gapless state, while for small $N < N_c^{\chi SB}$ the fermions are expected to develop a dynamical mass due to spontaneous chiral symmetry breaking. Using $\epsilon$ expansion near the lower critical dimension of 2, as well as the recent results on the generalization of the $F$ theorem to continuous dimension, we show that $N_c^{conf} > N_c^{\chi SB}$. There is therefore an intermediate range of values of $N$ at which a third phase is stabilized. We demonstrate that this phase is characterized by spontaneous breaking of Lorentz symmetry, in which a composite vector boson field acquires a vacuum expectation value with the fermions and the photon remaining massless.

5.503156

5.581525

6.142591

5.469765

5.709314

5.450509

6.174418

5.174024

5.486854

6.694854

5.564308

5.510879

5.692037

5.538392

5.536022

5.454047

5.486875

5.560595

5.493948

6.002989

5.536524

1506.08066

Behnam Pourhassan

B. Pourhassan

The Klein-Gordon Equation of a Rotating Charged Hairy Black Hole in (2+1) Dimensions

11 pages, 4 figures

Modern Physics Letters A 31 (2016) 1650057

10.1142/S0217732316500577

null

hep-th gr-qc

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

In this paper, we consider the Klein-Gordon equation in a 3D charged rotating hairy black hole background to study behavior of a massive scalar field. In the general case we find periodic-like behavior for the scalar field which may be vanishes at the black hole horizon or far from the black hole horizon. For the special cases of non-rotating or near horizon approximation we find radial solution of Klein-Gordon equation in terms of hypergeometric and Kummer functions. Also for the case of uncharged black hole we find numerical solution of the Klein-Gordon equation as periodic function which may enhanced out of the black hole or vanish at horizon. We find allowed boundary conditions which yield to the identical bosons described by scalar field.

[ { "created": "Mon, 22 Jun 2015 03:28:25 GMT", "version": "v1" }, { "created": "Sat, 4 Jul 2015 08:11:04 GMT", "version": "v2" }, { "created": "Sun, 22 Nov 2015 13:15:43 GMT", "version": "v3" } ]

2016-03-25

[ [ "Pourhassan", "B.", "" ] ]

In this paper, we consider the Klein-Gordon equation in a 3D charged rotating hairy black hole background to study behavior of a massive scalar field. In the general case we find periodic-like behavior for the scalar field which may be vanishes at the black hole horizon or far from the black hole horizon. For the special cases of non-rotating or near horizon approximation we find radial solution of Klein-Gordon equation in terms of hypergeometric and Kummer functions. Also for the case of uncharged black hole we find numerical solution of the Klein-Gordon equation as periodic function which may enhanced out of the black hole or vanish at horizon. We find allowed boundary conditions which yield to the identical bosons described by scalar field.

13.248735

12.937736

11.050768

12.173209

13.123419

13.069886

13.629246

12.270601

12.844572

11.735625

11.848631

11.62002

11.218235

11.285718

11.410396

11.710518

11.945812

11.348448

11.597394

11.22544

11.376535

hep-th/9809204

Ergin Sezgin

E. Sezgin

Topics in M-Theory

51 pages, latex, 2 figure files, uses sprocl.sty, contribution to the Abdus Salam Memorial Meeting, 19-22 Nov 1997, Trieste, Italy, a paragraph with new references added

null

CTP-TAMU-32/98

hep-th

null

We give a brief history of the passage from strings to branes and we review some aspects of the following topics in M-theory: (a) an extended brane scan, (b) superembedding approach to the dynamics of superbranes and (c) supermembranes in anti de Sitter space, singletons and massless higher spin field theories.

[ { "created": "Tue, 29 Sep 1998 20:22:45 GMT", "version": "v1" }, { "created": "Mon, 16 Nov 1998 05:35:30 GMT", "version": "v2" } ]

2007-05-23

[ [ "Sezgin", "E.", "" ] ]

We give a brief history of the passage from strings to branes and we review some aspects of the following topics in M-theory: (a) an extended brane scan, (b) superembedding approach to the dynamics of superbranes and (c) supermembranes in anti de Sitter space, singletons and massless higher spin field theories.

9.848598

10.224728

11.126012

9.165997

9.307172

9.834434

8.907775

8.987291

8.691037

11.182779

9.703556

9.001577

10.367884

9.056008

9.015797

8.655672

9.010323

8.834646

9.566921

9.976686

9.259777

2303.10203

R\'emy Larue

R\'emy Larue and J\'er\'emie Quevillon

The Universal One-Loop Effective Action with Gravity

38 pages, 4 tables

null

10.1007/JHEP11(2023)045

null

hep-th gr-qc hep-ph

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

We complete the so-called Universal One-Loop Effective Action (UOLEA) with effects of gravity and provide a systematic approach to incorporate higher dimensional operators in curved spacetime. The functional determinant stemming from the path integral is computed using the Covariant Derivative Expansion (CDE), in a momentum representation that does not rely on a specific choice of coordinate to be defined, as it often is. This very simple and efficient approach also manifests an interesting novelty as it allows to integrate out chiral fermions in curved spacetime in a direct manner. The presented method would very well fit in a code that performs CDE, offering the possibility to integrate out at one-loop fields on a curved spacetime background, including spin-2 fields, like the graviton. Eventually these results should provide an interesting way to study low energy effects of UV completions of gravity.

[ { "created": "Fri, 17 Mar 2023 18:46:33 GMT", "version": "v1" }, { "created": "Wed, 22 Nov 2023 17:33:59 GMT", "version": "v2" } ]

2023-11-23

[ [ "Larue", "Rémy", "" ], [ "Quevillon", "Jérémie", "" ] ]

We complete the so-called Universal One-Loop Effective Action (UOLEA) with effects of gravity and provide a systematic approach to incorporate higher dimensional operators in curved spacetime. The functional determinant stemming from the path integral is computed using the Covariant Derivative Expansion (CDE), in a momentum representation that does not rely on a specific choice of coordinate to be defined, as it often is. This very simple and efficient approach also manifests an interesting novelty as it allows to integrate out chiral fermions in curved spacetime in a direct manner. The presented method would very well fit in a code that performs CDE, offering the possibility to integrate out at one-loop fields on a curved spacetime background, including spin-2 fields, like the graviton. Eventually these results should provide an interesting way to study low energy effects of UV completions of gravity.

16.802019

16.884005

15.210635

14.207457

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17.015539

16.562794

15.669088

13.47917

14.37713

15.204645

15.706914

14.498042

14.478056

14.988896

15.71447

15.184916

15.37272

14.907024

14.692575

15.038265

1602.06704

Masud Chaichian

A. A. Bytsenko and M. Chaichian

$S$-Functions, Spectral Functions of Hyperbolic Geometry, and Vertex Operators with Applications to Structure for Weyl and Orthogonal Group Invariants

33 pages. arXiv admin note: text overlap with arXiv:1006.4266, arXiv:1012.2636, arXiv:1310.2981, arXiv:1207.5569, arXiv:0910.0083 by other authors

null

10.1016/j.nuclphysb.2016.03.029

null

hep-th math-ph math.MP

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

In this paper we analyze the quantum homological invariants (the Poincar\'e polynomials of the $\mathfrak{sl}_N$ link homology). In the case when the dimensions of homologies of appropriate topological spaces are precisely known, the procedure of the calculation of the Kovanov-Rozansky type homology, based on the Euler-Poincar\'e formula can be appreciably simplified. We express the formal character of the irreducible tensor representation of the classical groups in terms of the symmetric and spectral functions of hyperbolic geometry. On the basis of Labastida-Mari\~{n}o-Ooguri-Vafa conjecture, we derive a representation of the Chern-Simons partition function in the form of an infinite product in terms of the Ruelle spectral functions (the cases of a knot, unknot, and links have been considered). We also derive an infinite-product formula for the orthogonal Chern-Simons partition functions and analyze the singularities and the symmetry properties of the infinite-product structures.

[ { "created": "Mon, 22 Feb 2016 09:59:20 GMT", "version": "v1" } ]

2016-05-04

[ [ "Bytsenko", "A. A.", "" ], [ "Chaichian", "M.", "" ] ]

In this paper we analyze the quantum homological invariants (the Poincar\'e polynomials of the $\mathfrak{sl}_N$ link homology). In the case when the dimensions of homologies of appropriate topological spaces are precisely known, the procedure of the calculation of the Kovanov-Rozansky type homology, based on the Euler-Poincar\'e formula can be appreciably simplified. We express the formal character of the irreducible tensor representation of the classical groups in terms of the symmetric and spectral functions of hyperbolic geometry. On the basis of Labastida-Mari\~{n}o-Ooguri-Vafa conjecture, we derive a representation of the Chern-Simons partition function in the form of an infinite product in terms of the Ruelle spectral functions (the cases of a knot, unknot, and links have been considered). We also derive an infinite-product formula for the orthogonal Chern-Simons partition functions and analyze the singularities and the symmetry properties of the infinite-product structures.

9.235915

10.262953

12.221244

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10.126245

10.939645

10.18608

10.213367

9.697226

11.990558

9.398768

8.998733

9.661269

9.071328

9.162892

9.305564

9.220078

9.231152

9.122632

9.496804

9.057812

hep-th/0111209

Karim Benakli

I. Antoniadis, K. Benakli, A. Laugier

D-brane Models with Non-Linear Supersymmetry

48 pages, 2 figures, corrected some typos, one reference added

Nucl.Phys. B631 (2002) 3-42

10.1016/S0550-3213(02)00181-5

null

hep-th hep-ph

null

We study a class of type I string models with supersymmetry broken on the world-volume of some D-branes and vanishing tree-level potential. Despite the non-supersymmetric spectrum, supersymmetry is non-linearly realized on these D-branes, while it is spontaneously broken in the bulk by Scherk-Schwarz boundary conditions. These models can easily accommodate 3-branes with interesting gauge groups and chiral fermions. We also study the effective field theory and in particular we compute the four-fermion couplings of the localized Goldstino with the matter fermions on the brane.

[ { "created": "Thu, 22 Nov 2001 19:49:10 GMT", "version": "v1" }, { "created": "Wed, 12 Dec 2001 22:37:46 GMT", "version": "v2" } ]

2015-06-26

[ [ "Antoniadis", "I.", "" ], [ "Benakli", "K.", "" ], [ "Laugier", "A.", "" ] ]

We study a class of type I string models with supersymmetry broken on the world-volume of some D-branes and vanishing tree-level potential. Despite the non-supersymmetric spectrum, supersymmetry is non-linearly realized on these D-branes, while it is spontaneously broken in the bulk by Scherk-Schwarz boundary conditions. These models can easily accommodate 3-branes with interesting gauge groups and chiral fermions. We also study the effective field theory and in particular we compute the four-fermion couplings of the localized Goldstino with the matter fermions on the brane.

7.427566

6.425039

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6.708718

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6.349789

6.567526

6.978202

6.530273

6.4942

6.626815

6.512399

6.465617

6.50976

6.993573

6.59591

hep-th/0005178

Shini'chi Imai

Shin'ichi Imai and Naoki Sasakura

Scalar field theories in a Lorentz-invariant three-dimensional noncommutative space-time

24 pages, 9 eps figures, LaTeX; references, figures and comments on renormalization added

JHEP 0009:032,2000

10.1088/1126-6708/2000/09/032

KUNS-1665

hep-th

null

We discuss scalar quantum field theories in a Lorentz-invariant three-dimensional noncommutative space-time. We first analyze the one-loop diagrams of the two-point functions, and show that the non-planar diagrams are finite and have infrared singularities from the UV/IR mixing. The scalar quantum field theories have the problem that the violation of the momentum conservation from the non-planar diagrams does not vanish even in the commutative limit. A way to obtain an exact translational symmetry by introducing an infinite number of tensor fields is proposed. The translational symmetry transforms local fields into non-local ones in general. We also discuss an analogue of thermodynamics of free scalar field theory in the noncommutative space-time.

[ { "created": "Fri, 19 May 2000 13:09:57 GMT", "version": "v1" }, { "created": "Tue, 23 May 2000 02:50:24 GMT", "version": "v2" }, { "created": "Tue, 30 May 2000 06:29:01 GMT", "version": "v3" }, { "created": "Fri, 25 Aug 2000 02:18:21 GMT", "version": "v4" } ]

2014-11-18

[ [ "Imai", "Shin'ichi", "" ], [ "Sasakura", "Naoki", "" ] ]

We discuss scalar quantum field theories in a Lorentz-invariant three-dimensional noncommutative space-time. We first analyze the one-loop diagrams of the two-point functions, and show that the non-planar diagrams are finite and have infrared singularities from the UV/IR mixing. The scalar quantum field theories have the problem that the violation of the momentum conservation from the non-planar diagrams does not vanish even in the commutative limit. A way to obtain an exact translational symmetry by introducing an infinite number of tensor fields is proposed. The translational symmetry transforms local fields into non-local ones in general. We also discuss an analogue of thermodynamics of free scalar field theory in the noncommutative space-time.

8.600006

7.721888

8.828972

7.958295

8.086865

8.100984

8.090927

7.832675

7.501864

10.164796

7.941683

8.060442

9.007039

8.26685

8.086848

8.137564

8.076068

8.164084

8.283532

8.635377

8.122915

2203.10468

Kazem Bitaghsir Fadafan

Mahdi Atashi, Kazem Bitaghsir Fadafan

Anomalous dimension and quasinormal modes of flavor branes

v4: matching with the published version

null

hep-th hep-ph

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

We study scalar quasinormal modes in a D3/D7 system holographically dual to a quantum field theory with chiral symmetry breaking at finite temperature. From the bottom-up approach, we consider a nontrivial dilaton profile which is responsible for the anomalous dimension of the quark condensate. It depends on a new parameter$ q$ in the model. By varying this parameter, we study the behavior of the massive and massless scalar quasinormal modes. The numerical method that we use is the spectral method, and we find that there is no pure imaginary mode for the massless case but it appears by increasing the parameter $q$. It is known that this mode becomes tachyonic for massive cases. Then we turn on a pseudoscalar field and using a simple ansatz study its effect on the quasinormal modes of the scalar field. By varying the parameter of the nontrivial dilaton profile in the model, we qualitatively study quasinormal modes in walking theories.

[ { "created": "Sun, 20 Mar 2022 06:35:48 GMT", "version": "v1" }, { "created": "Mon, 19 Sep 2022 14:13:08 GMT", "version": "v2" }, { "created": "Sun, 13 Aug 2023 09:28:25 GMT", "version": "v3" }, { "created": "Tue, 13 Aug 2024 10:48:11 GMT", "version": "v4" } ]

2024-08-14

[ [ "Atashi", "Mahdi", "" ], [ "Fadafan", "Kazem Bitaghsir", "" ] ]

We study scalar quasinormal modes in a D3/D7 system holographically dual to a quantum field theory with chiral symmetry breaking at finite temperature. From the bottom-up approach, we consider a nontrivial dilaton profile which is responsible for the anomalous dimension of the quark condensate. It depends on a new parameter$ q$ in the model. By varying this parameter, we study the behavior of the massive and massless scalar quasinormal modes. The numerical method that we use is the spectral method, and we find that there is no pure imaginary mode for the massless case but it appears by increasing the parameter $q$. It is known that this mode becomes tachyonic for massive cases. Then we turn on a pseudoscalar field and using a simple ansatz study its effect on the quasinormal modes of the scalar field. By varying the parameter of the nontrivial dilaton profile in the model, we qualitatively study quasinormal modes in walking theories.

7.755586

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7.565837

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7.901958

7.477905

7.75004

7.949362

7.677152

7.799467

7.720736

7.866759

7.470572

2407.03171

B. S. Acharya

Bobby Samir Acharya

Confinement in Five Dimensions

10 pages, one figure

null

hep-th hep-ph math.DG

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

Five dimensional super conformal field theories can be studied using their geometric realisation as a limit of $M$-theory on a metrically conical Calabi-Yau threefold. We utilise this framework to investigate the phases of such theories that arise by varying the couplings away from the conformal point. We demonstrate that many 5d SCFTs, including strongly coupled gauge theories, have couplings giving rise to massive, confining vacua with confining strings and corresponding unbroken 1-form symmetries. The simplest examples arise by considering the parameter space of {\it complete} Ricci flat metrics on discrete quotients of the standard conifold singularity. Varying other couplings produces coupled 5d SCFTs interacting via massive BPS instanton particle states.

[ { "created": "Wed, 3 Jul 2024 14:44:22 GMT", "version": "v1" } ]

2024-07-04

[ [ "Acharya", "Bobby Samir", "" ] ]

Five dimensional super conformal field theories can be studied using their geometric realisation as a limit of $M$-theory on a metrically conical Calabi-Yau threefold. We utilise this framework to investigate the phases of such theories that arise by varying the couplings away from the conformal point. We demonstrate that many 5d SCFTs, including strongly coupled gauge theories, have couplings giving rise to massive, confining vacua with confining strings and corresponding unbroken 1-form symmetries. The simplest examples arise by considering the parameter space of {\it complete} Ricci flat metrics on discrete quotients of the standard conifold singularity. Varying other couplings produces coupled 5d SCFTs interacting via massive BPS instanton particle states.

11.91434

12.015397

13.879539

11.301439

12.728377

11.902308

13.018616

12.705166

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15.766435

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11.528106

11.525721

12.219782

11.828154

11.381578

11.367127

12.655823

11.682347

2408.05790

Matthew Dodelson

Ringdown in the SYK model

null

CERN-TH-2024-135

hep-th cond-mat.str-el

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

We analyze thermal correlators in the Sachdev-Ye-Kitaev model away from the maximally chaotic limit. Despite the absence of a weakly curved black hole dual, the two point function decomposes into a sum over a discrete set of quasinormal modes. To compute the spectrum of modes, we analytically solve the Schwinger-Dyson equations to a high order in perturbation theory, and then numerically fit to a sum of exponentials using a technique analogous to the double cone construction. The resulting spectrum has a tree-like structure which is reminiscent of AdS black holes with curvature singularities. We present a simple toy model of stringy black holes that qualitatively reproduces some aspects of this structure.

[ { "created": "Sun, 11 Aug 2024 14:44:04 GMT", "version": "v1" } ]

2024-08-13

[ [ "Dodelson", "Matthew", "" ] ]

We analyze thermal correlators in the Sachdev-Ye-Kitaev model away from the maximally chaotic limit. Despite the absence of a weakly curved black hole dual, the two point function decomposes into a sum over a discrete set of quasinormal modes. To compute the spectrum of modes, we analytically solve the Schwinger-Dyson equations to a high order in perturbation theory, and then numerically fit to a sum of exponentials using a technique analogous to the double cone construction. The resulting spectrum has a tree-like structure which is reminiscent of AdS black holes with curvature singularities. We present a simple toy model of stringy black holes that qualitatively reproduces some aspects of this structure.

7.949886

7.370124

9.284629

6.955938

8.362285

6.936933

7.241645

7.172965

7.286922

9.467687

7.248288

7.052537

8.424532

7.406576

7.507048

7.310738

7.395653

7.392896

7.432227

7.892395

7.215878

0705.1683

Alexander Schmidt

Alexander Schmidt, Hartmut Wachter

q-Deformed Superalgebras

38 pages, LateX, no figures, corrected typos

JHEP 0712:035,2007

10.1088/1126-6708/2007/12/035

null

hep-th

null

The article deals with q-analogs of the three- and four-dimensional Euclidean superalgebra and the Poincare superalgebra.

[ { "created": "Fri, 11 May 2007 16:03:30 GMT", "version": "v1" }, { "created": "Fri, 7 Sep 2007 12:02:37 GMT", "version": "v2" } ]

2009-04-22

[ [ "Schmidt", "Alexander", "" ], [ "Wachter", "Hartmut", "" ] ]

The article deals with q-analogs of the three- and four-dimensional Euclidean superalgebra and the Poincare superalgebra.

11.936685

10.872831

13.299207

9.10164

9.604239

9.069234

8.724142

10.189514

10.090243

14.057813

10.773643

11.504189

11.850747

10.545426

11.101251

10.754154

10.344465

10.974892

11.769897

12.75188

11.110844

1905.06516

Marco Piva

On The Behavior Of Gravitational Force At Small Scales

6 pages; this essay received an Honorable Mention in the 2019 Gravity Research Foundation Essays on Gravitation Competition

null

10.1142/S0218271819440073

null

hep-th gr-qc

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

We point out the idea that, at small scales, gravity can be described by the standard degrees of freedom of general relativity, plus a scalar particle and a degree of freedom of a new type: the fakeon. This possibility leads to fundamental implications in understanding gravitational force at quantum level as well as phenomenological consequences in the corresponding classical theory.

[ { "created": "Tue, 14 May 2019 19:25:12 GMT", "version": "v1" } ]

2020-01-08

[ [ "Piva", "Marco", "" ] ]

We point out the idea that, at small scales, gravity can be described by the standard degrees of freedom of general relativity, plus a scalar particle and a degree of freedom of a new type: the fakeon. This possibility leads to fundamental implications in understanding gravitational force at quantum level as well as phenomenological consequences in the corresponding classical theory.

10.650388

13.297923

14.536732

13.837365

16.900681

15.542037

18.904902

14.38603

13.099838

14.421591

14.837933

11.907119

12.197864

12.025209

11.366027

12.251927

11.608647

12.775837

12.507251

10.942812

11.485155

1703.05776

Irene Valenzuela

Ralph Blumenhagen, Irene Valenzuela, Florian Wolf

The Swampland Conjecture and F-term Axion Monodromy Inflation

50 pages, 3 figures, v2: typos corrected and references added

null

10.1007/JHEP07(2017)145

MPP-2017-34

hep-th

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

We continue the investigation of F-term axion monodromy inflation in string theory, while seriously taking the issue of moduli stabilization into account. For a number of closed and open string models, we show that they suffer from serious control issues once one is trying to realize trans-Planckian field excursions. More precisely, the flux tuning required to delay the logarithmic scaling of the field distance to a trans-Planckian value cannot be done without leaving the regime where the employed effective supergravity theory is under control. Our findings are consistent with the axionic extension of the Refined Swampland Conjecture, stating that in quantum gravity the effective theory breaks down for a field excursion beyond the Planck scale. Our analysis suggests that models of F-term axion monodromy inflation with a tensor-to-scalar ratio $r\ge O(10^{-3})$ cannot be parametrically controlled.

[ { "created": "Thu, 16 Mar 2017 18:03:40 GMT", "version": "v1" }, { "created": "Mon, 27 Mar 2017 16:27:25 GMT", "version": "v2" } ]

2017-09-13

[ [ "Blumenhagen", "Ralph", "" ], [ "Valenzuela", "Irene", "" ], [ "Wolf", "Florian", "" ] ]

We continue the investigation of F-term axion monodromy inflation in string theory, while seriously taking the issue of moduli stabilization into account. For a number of closed and open string models, we show that they suffer from serious control issues once one is trying to realize trans-Planckian field excursions. More precisely, the flux tuning required to delay the logarithmic scaling of the field distance to a trans-Planckian value cannot be done without leaving the regime where the employed effective supergravity theory is under control. Our findings are consistent with the axionic extension of the Refined Swampland Conjecture, stating that in quantum gravity the effective theory breaks down for a field excursion beyond the Planck scale. Our analysis suggests that models of F-term axion monodromy inflation with a tensor-to-scalar ratio $r\ge O(10^{-3})$ cannot be parametrically controlled.

8.354068

7.915789

8.65413

7.666183

7.765738

8.178658

7.819565

7.845008

8.318878

8.617415

7.794652

7.878903

7.991481

7.932257

7.933636

7.812305

8.023019

7.986214

7.883633

8.463694

7.813671

2306.16776

Pujian Mao

H. L\"u, Pujian Mao, Jun-Bao Wu

Anisotropic scaling non-relativistic holography: a symmetry perspective

v2: interpretation improved, typos fixed, references added, published version

Symmetry 2023, 15(8), 1579

10.3390/sym15081579

USTC-ICTS/PCFT-23-19

hep-th gr-qc

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

We study the holographic dual of the two dimensional non-relativistic conformal field theory with anisotropic scaling from a symmetry perspective. We construct a new four dimensional metric with two dimensional global anisotropic scaling isometry. The four dimensional spacetime is homogeneous and is a solution of Einstein gravity with quadratic-curvature extension. We consider this spacetime dual to the vacuum of the conformal field theory. By introducing proper solution phase space, we find that the asymptotic symmetry of the gravity theory is the two dimensional local anisotropic conformal symmetry, which recovers precisely the results from the dual non-relativistic conformal field theory side.

[ { "created": "Thu, 29 Jun 2023 08:26:04 GMT", "version": "v1" }, { "created": "Mon, 14 Aug 2023 13:00:24 GMT", "version": "v2" } ]

2023-08-15

[ [ "Lü", "H.", "" ], [ "Mao", "Pujian", "" ], [ "Wu", "Jun-Bao", "" ] ]

We study the holographic dual of the two dimensional non-relativistic conformal field theory with anisotropic scaling from a symmetry perspective. We construct a new four dimensional metric with two dimensional global anisotropic scaling isometry. The four dimensional spacetime is homogeneous and is a solution of Einstein gravity with quadratic-curvature extension. We consider this spacetime dual to the vacuum of the conformal field theory. By introducing proper solution phase space, we find that the asymptotic symmetry of the gravity theory is the two dimensional local anisotropic conformal symmetry, which recovers precisely the results from the dual non-relativistic conformal field theory side.

9.170219

8.67057

10.360715

8.584764

8.671041

8.868948

8.756617

8.794616

8.906677

10.218985

8.986441

8.801656

9.43214

8.610833

8.936361

8.788173

9.170777

8.828829

9.09968

9.870595

8.440095

1202.4162

Kei-Ichi Kondo

A unitary and renormalizable model for massive Yang-Mills fields without Higgs fields

4 pages, 1 figure

null

CHIBA-EP-192

hep-th hep-ph

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

We propose a massive Yang-Mills model blessed with both physical unitarity and renormalizability without Higgs particles. This is achieved by a novel nonlinear but local transformation from the original fields in the Curci-Ferrari model to the massive vector field with the spin one, which has the correct physical degrees of freedom and invariant under an extended BRST transformation. We clarify the reason for failures of the preceding attempts and check the physical unitarity in perturbation theory.

[ { "created": "Sun, 19 Feb 2012 15:53:25 GMT", "version": "v1" } ]

2012-02-21

[ [ "Kondo", "Kei-Ichi", "" ] ]

We propose a massive Yang-Mills model blessed with both physical unitarity and renormalizability without Higgs particles. This is achieved by a novel nonlinear but local transformation from the original fields in the Curci-Ferrari model to the massive vector field with the spin one, which has the correct physical degrees of freedom and invariant under an extended BRST transformation. We clarify the reason for failures of the preceding attempts and check the physical unitarity in perturbation theory.

13.960893

12.373848

14.349552

12.08824

13.042692

12.190302

13.187374

11.895385

12.366937

12.953365

12.45516

11.434017

13.226656

12.489824

12.221882

12.092079

12.281713

12.408993

12.791522

13.429744

13.251601

hep-th/0207210

Michael A. Ivanov

Primary Postulates of the Standard Model as Consequences of the Composite Nature of the Fundamental Fermions

Reprint, LaTeX, 20 pages. Few references and remarks are added, some found mistakes are corrected

NuovoCim.A105:77-89,1992

10.1007/BF02730740

null

hep-th

null

A field model of two-component fermions is described, the consequences of which coincide in the main with primary postulates of the standard model. Such a model can be constructed for 4 generations at the minimum. Peculiarities of the relative coordinate space, determining in general an internal symmetry group, are considered. Analogues of the Higgs fields appear in the model naturally after transition to the Grassmannian extra coordinates.

[ { "created": "Tue, 23 Jul 2002 13:22:29 GMT", "version": "v1" } ]

2008-11-26

[ [ "Ivanov", "Michael A.", "" ] ]

A field model of two-component fermions is described, the consequences of which coincide in the main with primary postulates of the standard model. Such a model can be constructed for 4 generations at the minimum. Peculiarities of the relative coordinate space, determining in general an internal symmetry group, are considered. Analogues of the Higgs fields appear in the model naturally after transition to the Grassmannian extra coordinates.

25.176538

22.933258

22.146286

20.71015

20.212765

22.176922

21.698151

20.245338

20.813887

20.67783

19.923277

22.005825

23.097635

22.065922

22.437668

21.855282

23.166094

21.650518

21.998144

22.787262

21.858252

hep-th/0301223

Alberto Guijosa

J. Antonio Garcia, Alberto Guijosa, J. David Vergara (ICN-UNAM)

M, Membranes, and OM

LaTeX 2e, 8 pages; aimed at phenomenologists. Invited talk given by A. Guijosa at the X Mexican School of Particles and Fields, Playa del Carmen, Mexico, November 2002

AIP Conf.Proc. 670 (2003) 256-263

10.1063/1.1594342

ICN-UNAM-03/02

hep-th hep-ph

null

We examine the extent to which the action for the membrane of M-theory (the eleven-dimensional construct which underlies and unifies all of the known string theories) simplifies in the so-called Open Membrane (OM) limit, a limit which lies at the root of the various manifestations of noncommutativity in the string context. In order for the discussion to be relatively self-contained, we start out by reviewing why the strings of ten-dimensional string theory are in fact membranes (M2-branes) living in eleven dimensions. After that, we recall the definition of OM theory, as well as the arguments showing that it is part of a larger, eleven-dimensional structure known as Galilean or Wrapped M2-brane (WM2) theory. WM2 theory is a rich theoretical construct which is interesting for several reasons, in particular because it is essentially a toy model of M-theory. We then proceed to deduce a membrane action for OM/WM2 theory, and spell out its implications for the four different types of M2-branes one can consider in this setting. For two of these types, the action in question can be simplified by gauge-fixing to a form which implies a discrete membrane spectrum. The boundary conditions for the remaining two cases do not allow this same gauge choice, and so their dynamics remain to be unraveled.

[ { "created": "Tue, 28 Jan 2003 01:04:36 GMT", "version": "v1" } ]

2009-11-10

[ [ "Garcia", "J. Antonio", "", "ICN-UNAM" ], [ "Guijosa", "Alberto", "", "ICN-UNAM" ], [ "Vergara", "J. David", "", "ICN-UNAM" ] ]

We examine the extent to which the action for the membrane of M-theory (the eleven-dimensional construct which underlies and unifies all of the known string theories) simplifies in the so-called Open Membrane (OM) limit, a limit which lies at the root of the various manifestations of noncommutativity in the string context. In order for the discussion to be relatively self-contained, we start out by reviewing why the strings of ten-dimensional string theory are in fact membranes (M2-branes) living in eleven dimensions. After that, we recall the definition of OM theory, as well as the arguments showing that it is part of a larger, eleven-dimensional structure known as Galilean or Wrapped M2-brane (WM2) theory. WM2 theory is a rich theoretical construct which is interesting for several reasons, in particular because it is essentially a toy model of M-theory. We then proceed to deduce a membrane action for OM/WM2 theory, and spell out its implications for the four different types of M2-branes one can consider in this setting. For two of these types, the action in question can be simplified by gauge-fixing to a form which implies a discrete membrane spectrum. The boundary conditions for the remaining two cases do not allow this same gauge choice, and so their dynamics remain to be unraveled.

10.146196

9.671375

10.725139

9.66827

9.431134

9.738276

9.570189

9.390815

9.181915

10.653539

9.002365

9.187703

9.959581

9.274996

9.479115

9.237466

9.099201

9.466708

9.47028

9.649046

9.028407

hep-th/0203062

Gerhard Grensing

G. Grensing

On Ghost Fermions

16 pages

Eur.Phys.J.C23:377-387,2002

10.1007/s100520100844

null

hep-th

null

The path integral for ghost fermions, which is heuristically made use of in the Batalin- Fradkin-Vilkovisky approach to quantization of constrained systems, is derived from first principles. The derivation turns out to be rather different from that of physical fermions since the definition of Dirac states for ghost fermions is subtle. With these results at hand, it is then shown that the nonminimal extension of the Becchi-Rouet-Stora-Tyutin operator must be chosen differently from the notorious choice made in the literature in order to avoid the boundary terms that have always plagued earlier treatments. Furthermore it is pointed out that the elimination of states with nonzero ghost number requires the introduction of a thermodynamic potential for ghosts; the reason is that Schwarz's Lefschetz formula for the partition function of the time- evolution operator is not capable, despite claims to the contrary, to get rid of nonzero ghost number states on its own. Finally, we comment on the problems of global topological nature that one faces in the attempt to obtain the solutions of the Dirac condition for physical states in a configuration space of nontrivial geometry; such complications give rise to anomalies that do not obey the Wess-Zumino consistency conditions.

[ { "created": "Thu, 7 Mar 2002 11:41:17 GMT", "version": "v1" } ]

2011-09-13

[ [ "Grensing", "G.", "" ] ]

The path integral for ghost fermions, which is heuristically made use of in the Batalin- Fradkin-Vilkovisky approach to quantization of constrained systems, is derived from first principles. The derivation turns out to be rather different from that of physical fermions since the definition of Dirac states for ghost fermions is subtle. With these results at hand, it is then shown that the nonminimal extension of the Becchi-Rouet-Stora-Tyutin operator must be chosen differently from the notorious choice made in the literature in order to avoid the boundary terms that have always plagued earlier treatments. Furthermore it is pointed out that the elimination of states with nonzero ghost number requires the introduction of a thermodynamic potential for ghosts; the reason is that Schwarz's Lefschetz formula for the partition function of the time- evolution operator is not capable, despite claims to the contrary, to get rid of nonzero ghost number states on its own. Finally, we comment on the problems of global topological nature that one faces in the attempt to obtain the solutions of the Dirac condition for physical states in a configuration space of nontrivial geometry; such complications give rise to anomalies that do not obey the Wess-Zumino consistency conditions.

9.554671

11.144832

10.69234

10.155849

10.409071

10.798338

10.977304

9.995536

9.736739

11.484997

9.737547

9.680005

9.598793

9.559337

9.414517

9.506686

9.476083

9.492354

9.198592

9.650792

9.34298

1907.09501

Andr\'e Coimbra

Higher curvature Bianchi identities, generalised geometry and $L_{\infty}$ algebras

null

Phys. Rev. D 100, 106001 (2019)

10.1103/PhysRevD.100.106001

null

hep-th math.DG

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

The Bianchi identities for bosonic fluxes in supergravity can receive higher derivative quantum and string corrections, the most well known being that of Heterotic theory $d H = \tfrac{1}{4}\alpha'(\text{tr } F^2 - \text{tr } R^2)$. Less studied are the modifications at order $R^4$ that may arise, for example, in the Bianchi identity for the seven-form flux of M theory compactifications. We argue that such corrections appear to be incompatible with the exceptional generalised geometry description of the lower order supergravity, and seem to imply a gauge algebra for the bosonic potentials that cannot be written in terms of an (exceptional) Courant bracket. However, we show that this algebra retains the form of an $L_{\infty}$ gauge field theory, which terminates at a level ten multibracket for the case involving just the seven-form flux.

[ { "created": "Mon, 22 Jul 2019 18:03:05 GMT", "version": "v1" }, { "created": "Tue, 3 Sep 2019 15:14:15 GMT", "version": "v2" }, { "created": "Tue, 5 Nov 2019 11:46:49 GMT", "version": "v3" } ]

2019-11-06

[ [ "Coimbra", "André", "" ] ]

The Bianchi identities for bosonic fluxes in supergravity can receive higher derivative quantum and string corrections, the most well known being that of Heterotic theory $d H = \tfrac{1}{4}\alpha'(\text{tr } F^2 - \text{tr } R^2)$. Less studied are the modifications at order $R^4$ that may arise, for example, in the Bianchi identity for the seven-form flux of M theory compactifications. We argue that such corrections appear to be incompatible with the exceptional generalised geometry description of the lower order supergravity, and seem to imply a gauge algebra for the bosonic potentials that cannot be written in terms of an (exceptional) Courant bracket. However, we show that this algebra retains the form of an $L_{\infty}$ gauge field theory, which terminates at a level ten multibracket for the case involving just the seven-form flux.

10.756842

9.977388

12.976453

10.225167

10.625692

10.595855

10.377063

10.381911

9.793422

12.880397

9.825406

9.969298

10.923082

10.082044

9.970083

9.950966

9.966634

10.017962

10.089817

11.09548

9.722622

1103.3948

Sibo Zheng

Is There Scale Invariance in N=1 Supersymmetric Field Theories ?

text rewritten, 10 pages

null

hep-th hep-ph

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

In two dimensions, it is well known that the scale invariance can be considered as conformal invariance. However, there is no solid proof of this equivalence in four or higher dimensions. We address this issue in the context of 4d $\mathcal{N}=1$ SUSY theories. The SUSY version of dilatation current for theories without conserved $R$ symmetry is constructed through the FZ-multiplet. We discover that the scale-invariant SUSY theory is also conformal when the real superfield in the dilatation current multiplet is conserved. Otherwise, it is only scale-invariant, despite of the transformation of improvement.

[ { "created": "Mon, 21 Mar 2011 09:26:52 GMT", "version": "v1" }, { "created": "Tue, 22 Mar 2011 10:30:47 GMT", "version": "v2" }, { "created": "Sun, 10 Jul 2011 11:42:45 GMT", "version": "v3" }, { "created": "Tue, 6 Nov 2012 08:12:57 GMT", "version": "v4" } ]

2012-11-07

[ [ "Zheng", "Sibo", "" ] ]

In two dimensions, it is well known that the scale invariance can be considered as conformal invariance. However, there is no solid proof of this equivalence in four or higher dimensions. We address this issue in the context of 4d $\mathcal{N}=1$ SUSY theories. The SUSY version of dilatation current for theories without conserved $R$ symmetry is constructed through the FZ-multiplet. We discover that the scale-invariant SUSY theory is also conformal when the real superfield in the dilatation current multiplet is conserved. Otherwise, it is only scale-invariant, despite of the transformation of improvement.

8.549461

8.753737

9.637787

7.919444

8.716507

9.220912

8.674499

8.550454

8.322014

10.701221

8.215739

8.275632

8.360983

7.967432

8.192743

7.927478

8.281087

7.983526

8.123333

8.340953

8.086752

1408.4004

Yang Zhang

Integration-by-parts identities from the viewpoint of differential geometry

28 pages, 4 figures, based on the author's talk on Amplitudes 2014, a Claude Itzykson memorial conference

null

hep-th

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

We present a new method to construct integration-by-part (IBP) identities from the viewpoint of differential geometry. Vectors for generating IBP identities are reformulated as differential forms, via Poincar\'{e} duality. Using the tools of differential geometry and commutative algebra, we can efficiently find differential forms which generate on-shell IBP relation without doubled propagator. Various $D=4$ two-loop examples are presented.

[ { "created": "Mon, 18 Aug 2014 13:09:25 GMT", "version": "v1" } ]

2014-08-19

[ [ "Zhang", "Yang", "" ] ]

We present a new method to construct integration-by-part (IBP) identities from the viewpoint of differential geometry. Vectors for generating IBP identities are reformulated as differential forms, via Poincar\'{e} duality. Using the tools of differential geometry and commutative algebra, we can efficiently find differential forms which generate on-shell IBP relation without doubled propagator. Various $D=4$ two-loop examples are presented.

12.866776

11.643872

11.647698

10.885928

12.496211

11.376367

11.220048

11.543156

11.970423

11.964066

11.222167

11.850917

11.157726

11.334341

11.443426

12.154642

11.141756

11.38238

11.106455

11.509223

11.591627

1404.2275

Martin Wolfgang Winkler

Wilfried Buchmuller, Clemens Wieck, Martin Wolfgang Winkler

Supersymmetric Moduli Stabilization and High-Scale Inflation

5 pages

null

10.1016/j.physletb.2014.07.024

DESY 14-031

hep-th hep-ph

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

We study the back-reaction of moduli fields on the inflaton potential in generic models of F-term inflation. We derive the moduli corrections as a power series in the ratio of Hubble scale and modulus mass. The general result is illustrated with two examples, hybrid inflation and chaotic inflation. We find that in both cases the decoupling of moduli dynamics and inflation requires moduli masses close to the scale of grand unification. For smaller moduli masses the CMB observables are strongly affected.

[ { "created": "Tue, 8 Apr 2014 20:00:06 GMT", "version": "v1" } ]

2015-06-19

[ [ "Buchmuller", "Wilfried", "" ], [ "Wieck", "Clemens", "" ], [ "Winkler", "Martin Wolfgang", "" ] ]

We study the back-reaction of moduli fields on the inflaton potential in generic models of F-term inflation. We derive the moduli corrections as a power series in the ratio of Hubble scale and modulus mass. The general result is illustrated with two examples, hybrid inflation and chaotic inflation. We find that in both cases the decoupling of moduli dynamics and inflation requires moduli masses close to the scale of grand unification. For smaller moduli masses the CMB observables are strongly affected.

7.856712

7.868955

6.873408

6.469069

7.292394

7.044557

7.165557

7.225214

6.959224

7.068907

7.410283

7.627108

6.948989

6.919889

6.90414

7.341497

7.160972

7.270092

7.097887

6.834285

7.069406

1403.0580

John Kehayias

John Kehayias, Shinji Mukohyama, Jean-Philippe Uzan

Emergent Lorentz Signature, Fermions, and the Standard Model

v2: references added, minor typos corrected, 8 pages, revtex4-1

Phys. Rev. D 89, 105017 (2014)

10.1103/PhysRevD.89.105017

IPMU14-0037

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

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

This article investigates the construction of fermions and the formulation of the Standard Model of particle physics in a theory in which the Lorentz signature emerges from an underlying microscopic purely Euclidean $SO(4)$ theory. Couplings to a clock field are responsible for triggering the change of signature of the effective metric in which the standard fields propagate. We demonstrate that Weyl and Majorana fermions can be constructed in this framework. This construction differs from other studies of Euclidean fermions, as the coupling to the clock field allows us to write down an action which flows to the usual action in Minkowski spacetime. We then show how the Standard Model can be obtained in this theory and consider the constraints on non-Standard-Model operators which can appear in the QED sector due to CPT and Lorentz violation.

[ { "created": "Mon, 3 Mar 2014 21:00:30 GMT", "version": "v1" }, { "created": "Tue, 27 May 2014 07:13:26 GMT", "version": "v2" } ]

2014-05-28

[ [ "Kehayias", "John", "" ], [ "Mukohyama", "Shinji", "" ], [ "Uzan", "Jean-Philippe", "" ] ]

This article investigates the construction of fermions and the formulation of the Standard Model of particle physics in a theory in which the Lorentz signature emerges from an underlying microscopic purely Euclidean $SO(4)$ theory. Couplings to a clock field are responsible for triggering the change of signature of the effective metric in which the standard fields propagate. We demonstrate that Weyl and Majorana fermions can be constructed in this framework. This construction differs from other studies of Euclidean fermions, as the coupling to the clock field allows us to write down an action which flows to the usual action in Minkowski spacetime. We then show how the Standard Model can be obtained in this theory and consider the constraints on non-Standard-Model operators which can appear in the QED sector due to CPT and Lorentz violation.

9.697519

9.350581

9.529197

9.181993

10.071529

9.973307

10.481318

9.521652

9.850928

9.800625

9.595906

9.474112

9.493681

9.231271

9.505977

9.639872

9.65452

9.286077

9.175561

9.261474

9.257442

1607.01781

Jacob Bourjaily

Jacob L. Bourjaily, Sebastian Franco, Daniele Galloni, Congkao Wen

Stratifying On-Shell Cluster Varieties: the Geometry of Non-Planar On-Shell Diagrams

35 pages, 70 figures, and 1 table; also included is a file with explicit details for our classification. Signs corrected in two residue theorems, and a new interpretation (and formula) given for the last

null

10.1007/JHEP10(2016)003

CCNY-HEP-16-06

hep-th

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

The correspondence between on-shell diagrams in maximally supersymmetric Yang-Mills theory and cluster varieties in the Grassmannian remains largely unexplored beyond the planar limit. In this article, we describe a systematic program to survey such 'on-shell varieties', and use this to provide a complete classification in the case of $G(3,6)$. In particular, we find exactly 24 top-dimensional varieties and 10 co-dimension one varieties in $G(3,6)$---up to parity and relabeling of the external legs. We use this case to illustrate some of the novelties found for non-planar varieties relative to the case of positroids, and describe some of the features that we expect to hold more generally.

[ { "created": "Wed, 6 Jul 2016 20:00:01 GMT", "version": "v1" }, { "created": "Tue, 26 Jul 2016 16:46:14 GMT", "version": "v2" } ]

2016-11-03

[ [ "Bourjaily", "Jacob L.", "" ], [ "Franco", "Sebastian", "" ], [ "Galloni", "Daniele", "" ], [ "Wen", "Congkao", "" ] ]

The correspondence between on-shell diagrams in maximally supersymmetric Yang-Mills theory and cluster varieties in the Grassmannian remains largely unexplored beyond the planar limit. In this article, we describe a systematic program to survey such 'on-shell varieties', and use this to provide a complete classification in the case of $G(3,6)$. In particular, we find exactly 24 top-dimensional varieties and 10 co-dimension one varieties in $G(3,6)$---up to parity and relabeling of the external legs. We use this case to illustrate some of the novelties found for non-planar varieties relative to the case of positroids, and describe some of the features that we expect to hold more generally.

8.553796

8.003819

8.441877

7.681546

8.774185

7.60134

7.752348

8.430283

8.264888

10.335538

7.675596

7.619701

8.625549

7.696639

8.143936

7.972355

7.910131

7.624255

7.817862

8.126667

7.639047

hep-th/0105001

Ergin Sezgin

E. Sezgin and P. Sundell

Doubletons and 5D Higher Spin Gauge Theory

31 pages, latex

JHEP 0109:036,2001

10.1088/1126-6708/2001/09/036

null

hep-th

null

We use Grassmann even spinor oscillators to construct a bosonic higher spin extension hs(2,2) of the five-dimensional anti-de Sitter algebra SU(2,2), and show that the gauging of hs(2,2) gives rise to a spectrum S of physical massless fields with spin s=0,2,4,... that is a UIR of hs(2,2). In addition to a master gauge field which contains the massless s=2,4,.. fields, we construct a scalar master field containing the massless s=0 field, the generalized Weyl tensors and their derivatives. We give the appropriate linearized constraint on this master scalar field, which together with a linearized curvature constraint produces the correct linearized field equations. A crucial step in the construction of the theory is the identification of a central generator K which is eliminated by means of a coset construction. Its charge vanishes in the spectrum S, which is the symmetric product of two spin zero doubletons. We expect our results to pave the way for constructing an interacting theory whose curvature expansion is dual to a CFT based on higher spin currents formed out of free doubletons in the large N limit. Thus, extending a recent proposal of Sundborg (hep-th/0103247), we conjecture that the hs(2,2) gauge theory describes a truncation of the bosonic massless sector of tensionless Type IIB string theory on AdS_5 x S^5 for large N. This implies AdS/CFT correspondence in a parameter regime where both boundary and bulk theories are perturbative.

[ { "created": "Tue, 1 May 2001 21:51:31 GMT", "version": "v1" } ]

2011-07-19

[ [ "Sezgin", "E.", "" ], [ "Sundell", "P.", "" ] ]

We use Grassmann even spinor oscillators to construct a bosonic higher spin extension hs(2,2) of the five-dimensional anti-de Sitter algebra SU(2,2), and show that the gauging of hs(2,2) gives rise to a spectrum S of physical massless fields with spin s=0,2,4,... that is a UIR of hs(2,2). In addition to a master gauge field which contains the massless s=2,4,.. fields, we construct a scalar master field containing the massless s=0 field, the generalized Weyl tensors and their derivatives. We give the appropriate linearized constraint on this master scalar field, which together with a linearized curvature constraint produces the correct linearized field equations. A crucial step in the construction of the theory is the identification of a central generator K which is eliminated by means of a coset construction. Its charge vanishes in the spectrum S, which is the symmetric product of two spin zero doubletons. We expect our results to pave the way for constructing an interacting theory whose curvature expansion is dual to a CFT based on higher spin currents formed out of free doubletons in the large N limit. Thus, extending a recent proposal of Sundborg (hep-th/0103247), we conjecture that the hs(2,2) gauge theory describes a truncation of the bosonic massless sector of tensionless Type IIB string theory on AdS_5 x S^5 for large N. This implies AdS/CFT correspondence in a parameter regime where both boundary and bulk theories are perturbative.

9.084292

9.870738

10.878399

8.954586

9.735415

9.357006

9.416421

9.32646

9.114182

11.308029

8.992413

8.817023

9.367024

8.581145

8.664689

8.639994

8.707434

8.798175

8.626266

9.380534

8.4885

1401.1968

Dr. Sudhaker Upadhyay

Sudhaker Upadhyay

N=1 super-Chern-Simons theory in Batalin-Vilkovisky formulation

7 pages, no figure, Version to appear in EPL

EPL, 104 (2013) 61001

10.1209/0295-5075/104/61001

null

hep-th math-ph math.MP

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

We analyse the Abelian $N=1$ super-Chern-Simons model coupled to parity-preserving matter in linear and non-linear gauges with exact BRST invariance. Then we analyse the theory in field/antifield formulation to discuss the model at quantum level. Furthermore, we implement the field/antifield dependent transformation parameter to generalize the BRST symmetry of the theory. The novelty of field/antifield dependent BRST transformation is that under change of variable the Jacobian of the functional integral extends the quantum action from linear gauge to non-linear gauge. The results are established in full generality.

[ { "created": "Thu, 9 Jan 2014 11:50:57 GMT", "version": "v1" } ]

2014-01-14

[ [ "Upadhyay", "Sudhaker", "" ] ]

We analyse the Abelian $N=1$ super-Chern-Simons model coupled to parity-preserving matter in linear and non-linear gauges with exact BRST invariance. Then we analyse the theory in field/antifield formulation to discuss the model at quantum level. Furthermore, we implement the field/antifield dependent transformation parameter to generalize the BRST symmetry of the theory. The novelty of field/antifield dependent BRST transformation is that under change of variable the Jacobian of the functional integral extends the quantum action from linear gauge to non-linear gauge. The results are established in full generality.

12.795737

10.430721

12.662013

11.639537

11.653074

11.156418

10.299444

10.511328

11.408271

14.35027

10.751324

11.481256

12.089062

11.948274

11.483017

12.041931

11.460152

11.585577

11.632224

12.16015

11.505828

2404.13761

Tom Banks

Dumbell Fermions and Fermi-Pauli Duality

9 pages, 3 figures, LaTeX, V2. Reference added

null

RUNHETC-2024-15

hep-th cond-mat.str-el

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

We use the Kantor-Susskind\cite{kantsuss} model of fermions as "dumbbells" connecting points on a cubic lattice to points on its dual, to define a duality between local fermionic models invariant under a $Z_2$ gauge symmetry and models of bosonic variables (generalizations of Pauli matrices) defined on the lattice.

[ { "created": "Sun, 21 Apr 2024 20:17:34 GMT", "version": "v1" }, { "created": "Mon, 29 Apr 2024 12:43:06 GMT", "version": "v2" } ]

2024-04-30

[ [ "Banks", "Tom", "" ] ]

We use the Kantor-Susskind\cite{kantsuss} model of fermions as "dumbbells" connecting points on a cubic lattice to points on its dual, to define a duality between local fermionic models invariant under a $Z_2$ gauge symmetry and models of bosonic variables (generalizations of Pauli matrices) defined on the lattice.

17.956524

18.950733

17.902594

16.87505

18.173223

15.251613

15.465131

19.194504

16.206232

21.398857

15.374825

16.656513

17.115482

15.654294

16.243362

17.58037

16.320786

16.125214

16.637686

17.552433

16.102379

hep-th/0603181

Zheng Ze Ma

Microcausality of Dirac field on noncommutative spacetime

21 pages, Latex, v3, some mistakes corrected

null

hep-th

null

We study the microcausality of free Dirac field on noncommutative spacetime. We calculate the vacuum and non-vacuum state expectation values for the Moyal commutator $[\bar{\psi}_{\alpha}(x)\star\psi_{\beta}(x),\bar{\psi}_ {\sigma}(x^{\prime})\star\psi_{\tau}(x^{\prime})]_{\star}$ of Dirac field on noncommutative spacetime. We find that they do not vanish for some cases of the indexes for an arbitrary spacelike interval, no matter whether $\theta^{0i}=0$ or $\theta^{0i}\neq0$. However for the physical observable quantities of Dirac field such as the Lorentz scalar $:\bar{\psi}(x)\star\psi(x):$ and the current $j^{\mu}(x)=:\bar{\psi}(x)\gamma^{\mu}\star\psi(x):$ etc., we find that they still satisfy the microcausality. Therefore microcausality is satisfied for Dirac field on noncommutative spacetime.

[ { "created": "Thu, 23 Mar 2006 12:20:15 GMT", "version": "v1" }, { "created": "Fri, 7 Apr 2006 23:41:35 GMT", "version": "v2" }, { "created": "Mon, 8 May 2006 11:36:57 GMT", "version": "v3" } ]

2007-05-23

[ [ "Ma", "Zheng Ze", "" ] ]

We study the microcausality of free Dirac field on noncommutative spacetime. We calculate the vacuum and non-vacuum state expectation values for the Moyal commutator $[\bar{\psi}_{\alpha}(x)\star\psi_{\beta}(x),\bar{\psi}_ {\sigma}(x^{\prime})\star\psi_{\tau}(x^{\prime})]_{\star}$ of Dirac field on noncommutative spacetime. We find that they do not vanish for some cases of the indexes for an arbitrary spacelike interval, no matter whether $\theta^{0i}=0$ or $\theta^{0i}\neq0$. However for the physical observable quantities of Dirac field such as the Lorentz scalar $:\bar{\psi}(x)\star\psi(x):$ and the current $j^{\mu}(x)=:\bar{\psi}(x)\gamma^{\mu}\star\psi(x):$ etc., we find that they still satisfy the microcausality. Therefore microcausality is satisfied for Dirac field on noncommutative spacetime.

3.815027

3.730471

4.178755

3.907387

3.99966

3.956907

3.954674

3.851304

3.738557

4.003922

3.81692

3.717473

3.720156

3.672009

3.767058

3.75522

3.672431

3.727282

3.714158

3.751163

3.683273

hep-th/0110073

Marco Serone

C.A. Scrucca, M. Serone, L. Silvestrini and F. Zwirner

Anomalies in orbifold field theories

10 pages, 2 figures, LaTex; v2: final version to be published in Phys. Lett. B

Phys.Lett. B525 (2002) 169-174

10.1016/S0370-2693(01)01430-7

CERN-TH/2001-267; ROMA-1325/01; SISSA-77/2001/EP

hep-th hep-ph

null

We study the constraints on models with extra dimensions arising from local anomaly cancellation. We consider a five-dimensional field theory with a U(1) gauge field and a charged fermion, compactified on the orbifold S^1/(Z_2 x Z_2'). We show that, even if the orbifold projections remove both fermionic zero modes, there are gauge anomalies localized at the fixed points. Anomalies naively cancel after integration over the fifth dimension, but gauge invariance is broken, spoiling the consistency of the theory. We discuss the implications for realistic supersymmetric models with a single Higgs hypermultiplet in the bulk, and possible cancellation mechanisms in non-minimal models.

[ { "created": "Mon, 8 Oct 2001 18:49:43 GMT", "version": "v1" }, { "created": "Thu, 6 Dec 2001 11:16:15 GMT", "version": "v2" } ]

2009-11-07

[ [ "Scrucca", "C. A.", "" ], [ "Serone", "M.", "" ], [ "Silvestrini", "L.", "" ], [ "Zwirner", "F.", "" ] ]

We study the constraints on models with extra dimensions arising from local anomaly cancellation. We consider a five-dimensional field theory with a U(1) gauge field and a charged fermion, compactified on the orbifold S^1/(Z_2 x Z_2'). We show that, even if the orbifold projections remove both fermionic zero modes, there are gauge anomalies localized at the fixed points. Anomalies naively cancel after integration over the fifth dimension, but gauge invariance is broken, spoiling the consistency of the theory. We discuss the implications for realistic supersymmetric models with a single Higgs hypermultiplet in the bulk, and possible cancellation mechanisms in non-minimal models.

6.909463

7.048915

6.992084

6.404841

7.242469

6.897614

6.805048

6.779953

6.912199

7.05574

6.405497

6.379668

6.687199

6.479015

6.424551

6.29389

6.693775

6.266356

6.535398

6.904825

6.415262

hep-th/0510092

John Preskill

Alexei Kitaev, John Preskill

Topological entanglement entropy

4 pages, 3 eps figures. v2: reference added

Phys.Rev.Lett. 96 (2006) 110404

10.1103/PhysRevLett.96.110404

CALT-68-2578

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

null

We formulate a universal characterization of the many-particle quantum entanglement in the ground state of a topologically ordered two-dimensional medium with a mass gap. We consider a disk in the plane, with a smooth boundary of length L, large compared to the correlation length. In the ground state, by tracing out all degrees of freedom in the exterior of the disk, we obtain a marginal density operator \rho for the degrees of freedom in the interior. The von Neumann entropy S(\rho) of this density operator, a measure of the entanglement of the interior and exterior variables, has the form S(\rho)= \alpha L -\gamma + ..., where the ellipsis represents terms that vanish in the limit L\to\infty. The coefficient \alpha, arising from short wavelength modes localized near the boundary, is nonuniversal and ultraviolet divergent, but -\gamma is a universal additive constant characterizing a global feature of the entanglement in the ground state. Using topological quantum field theory methods, we derive a formula for \gamma in terms of properties of the superselection sectors of the medium.

[ { "created": "Tue, 11 Oct 2005 20:00:25 GMT", "version": "v1" }, { "created": "Mon, 23 Jan 2006 19:28:17 GMT", "version": "v2" } ]

2009-11-11

[ [ "Kitaev", "Alexei", "" ], [ "Preskill", "John", "" ] ]

We formulate a universal characterization of the many-particle quantum entanglement in the ground state of a topologically ordered two-dimensional medium with a mass gap. We consider a disk in the plane, with a smooth boundary of length L, large compared to the correlation length. In the ground state, by tracing out all degrees of freedom in the exterior of the disk, we obtain a marginal density operator \rho for the degrees of freedom in the interior. The von Neumann entropy S(\rho) of this density operator, a measure of the entanglement of the interior and exterior variables, has the form S(\rho)= \alpha L -\gamma + ..., where the ellipsis represents terms that vanish in the limit L\to\infty. The coefficient \alpha, arising from short wavelength modes localized near the boundary, is nonuniversal and ultraviolet divergent, but -\gamma is a universal additive constant characterizing a global feature of the entanglement in the ground state. Using topological quantum field theory methods, we derive a formula for \gamma in terms of properties of the superselection sectors of the medium.

5.44864

6.050425

6.462243

5.61759

5.943675

6.265622

6.038184

5.498311

5.76376

6.173839

5.822822

5.365283

5.650868

5.306531

5.357814

5.372249

5.422202

5.373744

5.352524

5.543932

5.249225

hep-th/9411050

Vadim Schechtman

M. Finkelberg, V. Schechtman

Localization of $\frak{u}$-modules. I. Intersection cohomology of real arrangements

26 pages, amslatex. A misprint corrected

null

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

null

This paper is the first in a series. The main goal of the series is to present a geometric construction of certain remarkable tensor categories arising from quantum groups coresponding to the value of deformation parameter $q$ equal to a root of unity. In the present paper we study perverse sheaves over a complex affine space which are smooth along the stratification determined by a finite arrangement of complex affine hyperplanes defined by real equations. In particular, we construct explicitely (in terms of combinatorial data) complexes computing cohomology of Goresky-MacPherson extensions of one-dimensional local systems over the complement of hyperplanes.

[ { "created": "Mon, 7 Nov 1994 21:40:11 GMT", "version": "v1" }, { "created": "Tue, 27 Dec 1994 15:53:11 GMT", "version": "v2" }, { "created": "Thu, 29 Dec 1994 15:21:53 GMT", "version": "v3" } ]

2008-02-03

[ [ "Finkelberg", "M.", "" ], [ "Schechtman", "V.", "" ] ]

This paper is the first in a series. The main goal of the series is to present a geometric construction of certain remarkable tensor categories arising from quantum groups coresponding to the value of deformation parameter $q$ equal to a root of unity. In the present paper we study perverse sheaves over a complex affine space which are smooth along the stratification determined by a finite arrangement of complex affine hyperplanes defined by real equations. In particular, we construct explicitely (in terms of combinatorial data) complexes computing cohomology of Goresky-MacPherson extensions of one-dimensional local systems over the complement of hyperplanes.

9.032801

13.926927

10.049061

11.571989

11.470394

12.117424

11.968633

11.179802

10.045671

12.242583

9.358102

9.059583

8.962701

8.735191

9.788404

9.365816

8.947241

9.220558

9.003316

8.979713

8.786266

1803.00381

Yuji Hirono

Yuji Hirono, Dmitri E. Kharzeev, Andrey V. Sadofyev

Dynamics of vortices in chiral media: the chiral propulsion effect

8 pages, 1 figure

Phys. Rev. Lett. 121, 142301 (2018)

10.1103/PhysRevLett.121.142301

null

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

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

We study the motion of vortex filaments in chiral media, and find a semi-classical analog of the anomaly-induced chiral magnetic effect. The helical solitonic excitations on vortices in a parity-breaking medium are found to carry an additional energy flow along the vortex in the direction dictated by the sign of chirality imbalance; we call this new transport phenomenon the Chiral Propulsion Effect (CPE). The dynamics of the filament is described by a modified version of the localized induction equation in the parity-breaking background. We analyze the linear stability of simple vortex configurations, and study the effects of chiral media on the excitation spectrum and the growth rate of the unstable modes. It is also shown that, if the equation of motion of the filament is symmetric under the simultaneous reversal of parity and time, the resulting planar solution cannot transport energy.

[ { "created": "Wed, 24 Jan 2018 18:55:51 GMT", "version": "v1" } ]

2018-10-10

[ [ "Hirono", "Yuji", "" ], [ "Kharzeev", "Dmitri E.", "" ], [ "Sadofyev", "Andrey V.", "" ] ]

We study the motion of vortex filaments in chiral media, and find a semi-classical analog of the anomaly-induced chiral magnetic effect. The helical solitonic excitations on vortices in a parity-breaking medium are found to carry an additional energy flow along the vortex in the direction dictated by the sign of chirality imbalance; we call this new transport phenomenon the Chiral Propulsion Effect (CPE). The dynamics of the filament is described by a modified version of the localized induction equation in the parity-breaking background. We analyze the linear stability of simple vortex configurations, and study the effects of chiral media on the excitation spectrum and the growth rate of the unstable modes. It is also shown that, if the equation of motion of the filament is symmetric under the simultaneous reversal of parity and time, the resulting planar solution cannot transport energy.

9.723194

10.531825

9.742856

9.66447

10.393453

10.29977

10.355643

9.76286

9.196414

10.350887

9.249364

9.619665

9.705136

9.432009

9.476233

9.523232

9.778865

9.171733

9.240169

9.533113

9.077078

hep-th/0507240

Bogdan Florea

Duiliu-Emanuel Diaconescu, Bogdan Florea

The Ruled Vertex and Nontoric del Pezzo Surfaces

16 pages, 4 figures

JHEP 0612:028,2006

10.1088/1126-6708/2006/12/028

null

hep-th math.AG

null

We construct the topological partition function of local nontoric del Pezzo surfaces using the ruled vertex formalism.

[ { "created": "Mon, 25 Jul 2005 16:32:59 GMT", "version": "v1" }, { "created": "Mon, 30 Oct 2006 19:43:39 GMT", "version": "v2" } ]

2010-02-03

[ [ "Diaconescu", "Duiliu-Emanuel", "" ], [ "Florea", "Bogdan", "" ] ]

We construct the topological partition function of local nontoric del Pezzo surfaces using the ruled vertex formalism.

53.025517

38.179401

79.956947

32.366707

31.82049

31.282436

33.174347

40.865585

29.612095

67.061287

39.261551

41.240417

81.108002

39.917305

40.031639

39.838879

39.499249

46.040886

38.939362

68.014465

39.316246

hep-th/0101033

Cappiell

L. Cappiello, G. Cristofano, G. Maiella and V. Marotta (Univ. of Naples)

Tunnelling Effects in a Brane System and Quantum Hall Physics

12 pages, no figures, Latex, some aspects clarified, sect.3 expanded, references added

Mod.Phys.Lett. A17 (2002) 1281-1290

10.1142/S0217732302007764

DSF-41/2000

hep-th cond-mat

null

We argue that a system of interacting D-branes, generalizing a recent proposal, can be modelled as a Quantum Hall fluid. We show that tachyon condensation in such a system is equivalent to one particle tunnelling. In a conformal field theory effective description, that induces a transition from a theory with central charge c=2 to a theory with c=3/2, with a corresponding symmetry enhancement.

[ { "created": "Fri, 5 Jan 2001 16:34:10 GMT", "version": "v1" }, { "created": "Fri, 29 Jun 2001 15:07:00 GMT", "version": "v2" } ]

2009-11-07

[ [ "Cappiello", "L.", "", "Univ. of\n Naples" ], [ "Cristofano", "G.", "", "Univ. of\n Naples" ], [ "Maiella", "G.", "", "Univ. of\n Naples" ], [ "Marotta", "V.", "", "Univ. of\n Naples" ] ]

We argue that a system of interacting D-branes, generalizing a recent proposal, can be modelled as a Quantum Hall fluid. We show that tachyon condensation in such a system is equivalent to one particle tunnelling. In a conformal field theory effective description, that induces a transition from a theory with central charge c=2 to a theory with c=3/2, with a corresponding symmetry enhancement.

12.298774

11.495719

11.764177

10.466941

11.105134

12.22953

10.094193

12.174161

11.601227

10.436244

11.615277

10.850595

10.939565

11.062457

10.834617

11.465098

10.575012

11.142881

10.377247

10.979877

10.63158

1204.2550

Gianluca Calcagni

Diffusion in quantum geometry

5 pages, 1 figure. v2: title slightly changed, discussion improved

Phys. Rev. D 86, 044021 (2012)

10.1103/PhysRevD.86.044021

AEI-2012-034

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

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

The change of the effective dimension of spacetime with the probed scale is a universal phenomenon shared by independent models of quantum gravity. Using tools of probability theory and multifractal geometry, we show how dimensional flow is controlled by a multiscale fractional diffusion equation, and physically interpreted as a composite stochastic process. The simplest example is a fractional telegraph process, describing quantum spacetimes with a spectral dimension equal to 2 in the ultraviolet and monotonically rising to 4 towards the infrared. The general profile of the spectral dimension of the recently introduced multifractional spaces is constructed for the first time.

[ { "created": "Wed, 11 Apr 2012 20:00:04 GMT", "version": "v1" }, { "created": "Wed, 15 Aug 2012 18:42:08 GMT", "version": "v2" } ]

2012-08-16

[ [ "Calcagni", "Gianluca", "" ] ]

The change of the effective dimension of spacetime with the probed scale is a universal phenomenon shared by independent models of quantum gravity. Using tools of probability theory and multifractal geometry, we show how dimensional flow is controlled by a multiscale fractional diffusion equation, and physically interpreted as a composite stochastic process. The simplest example is a fractional telegraph process, describing quantum spacetimes with a spectral dimension equal to 2 in the ultraviolet and monotonically rising to 4 towards the infrared. The general profile of the spectral dimension of the recently introduced multifractional spaces is constructed for the first time.

14.273275

14.428462

15.328626

13.299423

14.48512

13.075849

13.131531

12.83353

12.803672

14.760861

14.613752

13.375648

13.276452

13.467776

13.014382

12.968003

13.623489

13.160858

13.00629

13.676787

13.48338

hep-th/0510242

Hiroshi Ishikawa

Hiroshi Ishikawa, Taro Tani

Twisted boundary states and representation of generalized fusion algebra

65 pages, 4 figures; (v2) a confusing notation bar{lambda} in eq.(2.6) changed to lambda^*, typos in eqs.(2.8) (2.72) (6.12) corrected, a reference added

Nucl.Phys.B739:328-388,2006

10.1016/j.nuclphysb.2006.01.031

TU-754, AS-ITP-2005-004

hep-th math.QA

null

The mutual consistency of boundary conditions twisted by an automorphism group G of the chiral algebra is studied for general modular invariants of rational conformal field theories. We show that a consistent set of twisted boundary states associated with any modular invariant realizes a non-negative integer matrix representation (NIM-rep) of the generalized fusion algebra, an extension of the fusion algebra by representations of the twisted chiral algebra associated with the automorphism group G. We check this result for several concrete cases. In particular, we find that two NIM-reps of the fusion algebra for $su(3)_k (k=3,5)$ are organized into a NIM-rep of the generalized fusion algebra for the charge-conjugation automorphism of $su(3)_k$. We point out that the generalized fusion algebra is non-commutative if G is non-abelian and provide some examples for $G = S_3$. Finally, we give an argument that the graph fusion algebra associated with simple current extensions coincides with the generalized fusion algebra for the extended chiral algebra, and thereby explain that the graph fusion algebra contains the fusion algebra of the extended theory as a subalgebra.

[ { "created": "Fri, 28 Oct 2005 06:59:37 GMT", "version": "v1" }, { "created": "Tue, 15 Nov 2005 05:17:39 GMT", "version": "v2" } ]

2008-11-26

[ [ "Ishikawa", "Hiroshi", "" ], [ "Tani", "Taro", "" ] ]

The mutual consistency of boundary conditions twisted by an automorphism group G of the chiral algebra is studied for general modular invariants of rational conformal field theories. We show that a consistent set of twisted boundary states associated with any modular invariant realizes a non-negative integer matrix representation (NIM-rep) of the generalized fusion algebra, an extension of the fusion algebra by representations of the twisted chiral algebra associated with the automorphism group G. We check this result for several concrete cases. In particular, we find that two NIM-reps of the fusion algebra for $su(3)_k (k=3,5)$ are organized into a NIM-rep of the generalized fusion algebra for the charge-conjugation automorphism of $su(3)_k$. We point out that the generalized fusion algebra is non-commutative if G is non-abelian and provide some examples for $G = S_3$. Finally, we give an argument that the graph fusion algebra associated with simple current extensions coincides with the generalized fusion algebra for the extended chiral algebra, and thereby explain that the graph fusion algebra contains the fusion algebra of the extended theory as a subalgebra.

6.14276

6.13895

6.452601

5.831701

6.664396

6.248943

6.412904

6.038633

5.926702

7.52555

6.001181

5.622145

6.176826

5.844162

5.873762

5.89966

5.871852

5.763296

5.893532

6.051868

5.550515

hep-th/0302145

DaeKil Park

D. K. Park, S. Tamaryan, H. J. W. M\"uller-Kirsten

General Criterion for the existence of Supertube and BIon in Curved Target Space

12 pages, no figure

Phys.Lett. B563 (2003) 224-230

10.1016/S0370-2693(03)00392-7

null

hep-th

null

The supertube and BIon spike solutions are examined in a general curved target space. The criteria for the existence of these solutions are explicitly derived. Also the equation which the general BIon solution should satisfy is derived.

[ { "created": "Tue, 18 Feb 2003 19:11:48 GMT", "version": "v1" } ]

2016-08-16

[ [ "Park", "D. K.", "" ], [ "Tamaryan", "S.", "" ], [ "Müller-Kirsten", "H. J. W.", "" ] ]

The supertube and BIon spike solutions are examined in a general curved target space. The criteria for the existence of these solutions are explicitly derived. Also the equation which the general BIon solution should satisfy is derived.

24.932568

18.049973

20.978758

14.490951

15.209022

18.282553

13.744197

14.920394

15.17557

20.932743

15.911989

16.262459

19.124462

16.526655

14.997726

16.325775

16.743828

16.782377

16.155521

19.077387

15.560823

hep-th/9601158

Konstadinos Sfetsos

I. Bakas and K. Sfetsos

String effects and field theory puzzles with supersymmetry

16 pages, Latex; contribution to the proceedings of the 5th Hellenic school and workshops on elementary particle physics, Corfu, 3-24 September 1995

null

CERN-TH/96-15, ENSLAPP-A-578/96, THU-96/04

hep-th

null

We investigate field theory puzzles occuring in the interplay between supersymmetry and duality in the presense of rotational isometries (also known as non-triholomorphic in hyper-Kahler geometry). We show that T-duality is always compatible with supersymmetry, provided that non-local world-sheet effects are properly taken into account. The underlying superconformal algebra remains the same, and T-duality simply relates local with non-local realizations of it. The non-local realizations have a natural description using parafermion variables of the corresponding conformal field theory. We also comment on the relevance of these ideas to a possible resolution of long standing problems in the quantum theory of black holes.

[ { "created": "Tue, 30 Jan 1996 11:43:01 GMT", "version": "v1" } ]

2007-05-23

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

We investigate field theory puzzles occuring in the interplay between supersymmetry and duality in the presense of rotational isometries (also known as non-triholomorphic in hyper-Kahler geometry). We show that T-duality is always compatible with supersymmetry, provided that non-local world-sheet effects are properly taken into account. The underlying superconformal algebra remains the same, and T-duality simply relates local with non-local realizations of it. The non-local realizations have a natural description using parafermion variables of the corresponding conformal field theory. We also comment on the relevance of these ideas to a possible resolution of long standing problems in the quantum theory of black holes.

11.061489

10.550744

12.003085

10.370312

10.94318

10.881276

10.005633

10.733546

10.302403

13.420014

10.042881

10.905903

11.172511

10.408179

10.568629

11.029616

10.864426

10.416355

11.075576

12.291144

10.458806

1602.02838

Clifford V. Johnson

An Exact Efficiency Formula for Holographic Heat Engines

10 pages, 6 multicomponent figures, one trumpet; v2: typo corrected in equation (3)

null

10.3390/e18040120

null

hep-th

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

Further consideration is given to the efficiency of black hole heat engines that perform mechanical work via the pdV terms present in the First Law of extended gravitational thermodynamics. It is noted that when the engine cycle is a rectangle with sides parallel to the (p,V) axes, the efficiency can be written simply in terms of the mass of the black hole evaluated at the corners. Since an arbitrary cycle can be approximated to any desired accuracy by a tiling of rectangles, a general geometrical algorithm for computing the efficiency follows. A simple generalization of the algorithm renders it applicable to more general classes of heat engine, beyond the black hole context.

[ { "created": "Tue, 9 Feb 2016 01:41:53 GMT", "version": "v1" }, { "created": "Tue, 16 Feb 2016 06:01:00 GMT", "version": "v2" } ]

2016-05-04

[ [ "Johnson", "Clifford V.", "" ] ]

Further consideration is given to the efficiency of black hole heat engines that perform mechanical work via the pdV terms present in the First Law of extended gravitational thermodynamics. It is noted that when the engine cycle is a rectangle with sides parallel to the (p,V) axes, the efficiency can be written simply in terms of the mass of the black hole evaluated at the corners. Since an arbitrary cycle can be approximated to any desired accuracy by a tiling of rectangles, a general geometrical algorithm for computing the efficiency follows. A simple generalization of the algorithm renders it applicable to more general classes of heat engine, beyond the black hole context.

10.85307

10.3918

10.749948

9.821809

10.846169

11.8296

12.128346

9.606816

9.997234

10.531212

10.273497

10.751019

10.507211

10.36823

10.746688

10.905981

11.234529

10.558063

10.543286

10.932347

10.299722

hep-th/9606086

null

Sheldon Katz and Cumrun Vafa

Matter From Geometry

11 pages, Harvmac (b) mode

Nucl.Phys.B497:146-154,1997

10.1016/S0550-3213(97)00280-0

HUTP-96/A021,OSU Math 1996-10

hep-th math.AG

null

We provide a local geometric description of how charged matter arises in type IIA, M-theory, or F-theory compactifications on Calabi-Yau manifolds. The basic idea is to deform a higher singularity into a lower one through Cartan deformations which vary over space. The results agree with expectations based on string dualities.

[ { "created": "Fri, 14 Jun 1996 15:21:31 GMT", "version": "v1" } ]

2010-04-06

[ [ "Katz", "Sheldon", "" ], [ "Vafa", "Cumrun", "" ] ]

We provide a local geometric description of how charged matter arises in type IIA, M-theory, or F-theory compactifications on Calabi-Yau manifolds. The basic idea is to deform a higher singularity into a lower one through Cartan deformations which vary over space. The results agree with expectations based on string dualities.

14.507318

11.861776

14.016671

12.256783

11.671339

11.710699

12.462353

12.626574

12.571687

15.453252

11.301027

12.154675

13.314188

11.296243

12.072094

11.735041

11.32189

11.910827

11.52589

13.063624

11.401516

1103.2550

Aram Saharian

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

Vacuum polarization by a flat boundary in cosmic string spacetime

19 pages, 5 figures

Class. Quantum Grav. 28 (2011) 145008

10.1088/0264-9381/28/14/145008

null

hep-th gr-qc quant-ph

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

In this paper we analyze the vacuum expectation values of the field squared and the energy-momentum tensor associated to a massive scalar field in a higher dimensional cosmic string spacetime, obeying Dirichlet or Neumann boundary conditions on the surface orthogonal to the string. In order to develop this analysis the corresponding Green function is obtained. The Green function is given by the sum of two expressions: the first one corresponds to the standard Green function in the boundary-free cosmic string spacetime and the second contribution is induced by the boundary. The boundary induced parts have opposite signs for Dirichlet and Neumann scalars. Because the analysis of vacuum polarization effects in the boundary-free cosmic string spacetime have been developed in the literature, here we are mainly interested in the calculations of the effects induced by the boundary. In this way closed expressions for the corresponding expectation values are provided, as well as their asymptotic behavior in different limiting regions is investigated. We show that the non-trivial topology due to the cosmic string enhances the boundary induced vacuum polarization effects for both field squared and the energy-momentum tensor, compared to the case of a boundary in Minkowski spacetime. The presence of the cosmic string induces non-zero stress along the direction normal to the boundary. The corresponding vacuum force acting on the boundary is investigated.

[ { "created": "Sun, 13 Mar 2011 20:30:14 GMT", "version": "v1" } ]

2011-07-07

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

In this paper we analyze the vacuum expectation values of the field squared and the energy-momentum tensor associated to a massive scalar field in a higher dimensional cosmic string spacetime, obeying Dirichlet or Neumann boundary conditions on the surface orthogonal to the string. In order to develop this analysis the corresponding Green function is obtained. The Green function is given by the sum of two expressions: the first one corresponds to the standard Green function in the boundary-free cosmic string spacetime and the second contribution is induced by the boundary. The boundary induced parts have opposite signs for Dirichlet and Neumann scalars. Because the analysis of vacuum polarization effects in the boundary-free cosmic string spacetime have been developed in the literature, here we are mainly interested in the calculations of the effects induced by the boundary. In this way closed expressions for the corresponding expectation values are provided, as well as their asymptotic behavior in different limiting regions is investigated. We show that the non-trivial topology due to the cosmic string enhances the boundary induced vacuum polarization effects for both field squared and the energy-momentum tensor, compared to the case of a boundary in Minkowski spacetime. The presence of the cosmic string induces non-zero stress along the direction normal to the boundary. The corresponding vacuum force acting on the boundary is investigated.

5.963262

3.652192

6.152913

4.513243

5.096499

4.288515

4.58837

4.061243

4.004974

6.798678

4.460992

4.985965

5.869536

5.318396

5.421563

5.147112

5.072634

5.191061

5.230283

5.825773

5.107314

hep-th/0101216

Richard Szabo

Richard J. Szabo

Discrete Noncommutative Gauge Theory

19 pages LaTeX; Based on invited lecture given at the Euroconference "Brane New World and Noncommutative Geometry", Villa Gualino, Torino, Italy, October 2-7 2000. To be published in the proceedings by World Scientific; Typos corrected, reference added

Mod.Phys.Lett.A16:367-386,2001

10.1142/S0217732301003474

HWM01-2, EMPG-01-01

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

null

A review of the relationships between matrix models and noncommutative gauge theory is presented. A lattice version of noncommutative Yang-Mills theory is constructed and used to examine some generic properties of noncommutative quantum field theory, such as UV/IR mixing and the appearence of gauge-invariant open Wilson line operators. Morita equivalence in this class of models is derived and used to establish the generic relation between noncommutative gauge theory and twisted reduced models. Finite dimensional representations of the quotient conditions for toroidal compactification of matrix models are thereby exhibited. The coupling of noncommutative gauge fields to fundamental matter fields is considered and a large mass expansion is used to study properties of gauge-invariant observables. Morita equivalence with fundamental matter is also presented and used to prove the equivalence between the planar loop renormalizations in commutative and noncommutative quantum chromodynamics.

[ { "created": "Tue, 30 Jan 2001 17:13:33 GMT", "version": "v1" }, { "created": "Tue, 6 Feb 2001 11:58:04 GMT", "version": "v2" } ]

2010-11-19

[ [ "Szabo", "Richard J.", "" ] ]

A review of the relationships between matrix models and noncommutative gauge theory is presented. A lattice version of noncommutative Yang-Mills theory is constructed and used to examine some generic properties of noncommutative quantum field theory, such as UV/IR mixing and the appearence of gauge-invariant open Wilson line operators. Morita equivalence in this class of models is derived and used to establish the generic relation between noncommutative gauge theory and twisted reduced models. Finite dimensional representations of the quotient conditions for toroidal compactification of matrix models are thereby exhibited. The coupling of noncommutative gauge fields to fundamental matter fields is considered and a large mass expansion is used to study properties of gauge-invariant observables. Morita equivalence with fundamental matter is also presented and used to prove the equivalence between the planar loop renormalizations in commutative and noncommutative quantum chromodynamics.

10.02444

8.891944

10.652107

8.544024

8.935173

8.389925

8.092887

8.031045

8.158006

11.58777

8.579781

8.500268

8.894492

8.703057

8.69727

8.686172

8.791656

8.41216

8.542835

8.997866

8.617645

1106.4030

Andy O'Bannon

Carlos Hoyos, Tatsuma Nishioka, and Andy O'Bannon

A Chiral Magnetic Effect from AdS/CFT with Flavor

54 pages, 18 eps files in 6 figures

null

10.1007/JHEP10(2011)084

DAMTP-2011-44, PUTP-2369

hep-th

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

For (3+1)-dimensional fermions, a net axial charge and external magnetic field can lead to a current parallel to the magnetic field. This is the chiral magnetic effect. We use gauge-gravity duality to study the chiral magnetic effect in large-Nc, strongly-coupled N=4 supersymmetric SU(Nc) Yang-Mills theory coupled to a number Nf << Nc of N=2 hypermultiplets in the Nc representation of SU(Nc), i.e. flavor fields. Specifically, we introduce an external magnetic field and a time-dependent phase for the mass of the flavor fields, which is equivalent to an axial chemical potential for the flavor fermions, and we compute holographically the resulting chiral magnetic current. For massless flavors we find that the current takes the value determined by the axial anomaly. For massive flavors the current appears only in the presence of a condensate of pseudo-scalar mesons, and has a smaller value than for massless flavors, dropping to zero for sufficiently large mass or magnetic field. The axial symmetry in our system is part of the R-symmetry, and the states we study involve a net flow of axial charge to the adjoint sector from an external source coupled to the flavors. We compute the time rate of change of axial charge and of energy both in field theory and from holography, with perfect agreement. In contrast to previous holographic models of the chiral magnetic effect, in our system the vector current is conserved and gauge-invariant without any special counterterms.

[ { "created": "Mon, 20 Jun 2011 20:12:25 GMT", "version": "v1" } ]

2015-05-28

[ [ "Hoyos", "Carlos", "" ], [ "Nishioka", "Tatsuma", "" ], [ "O'Bannon", "Andy", "" ] ]

For (3+1)-dimensional fermions, a net axial charge and external magnetic field can lead to a current parallel to the magnetic field. This is the chiral magnetic effect. We use gauge-gravity duality to study the chiral magnetic effect in large-Nc, strongly-coupled N=4 supersymmetric SU(Nc) Yang-Mills theory coupled to a number Nf << Nc of N=2 hypermultiplets in the Nc representation of SU(Nc), i.e. flavor fields. Specifically, we introduce an external magnetic field and a time-dependent phase for the mass of the flavor fields, which is equivalent to an axial chemical potential for the flavor fermions, and we compute holographically the resulting chiral magnetic current. For massless flavors we find that the current takes the value determined by the axial anomaly. For massive flavors the current appears only in the presence of a condensate of pseudo-scalar mesons, and has a smaller value than for massless flavors, dropping to zero for sufficiently large mass or magnetic field. The axial symmetry in our system is part of the R-symmetry, and the states we study involve a net flow of axial charge to the adjoint sector from an external source coupled to the flavors. We compute the time rate of change of axial charge and of energy both in field theory and from holography, with perfect agreement. In contrast to previous holographic models of the chiral magnetic effect, in our system the vector current is conserved and gauge-invariant without any special counterterms.

6.269855

5.780697

6.918057

5.907176

6.234821

6.182175

6.169935

6.025197

5.71806

7.635436

5.857924

6.330054

6.553786

6.180948

6.402558

6.323674

6.324337

6.035194

6.25772

6.791301

6.165903

hep-th/9808176

Cliff Burgess

C.P. Burgess

Goldstone and Pseudo-Goldstone Bosons in Nuclear, Particle and Condensed-Matter Physics

119 pages, LaTeX, five figures included with epsf. Lectures given to NUSS98, Seoul National University, June 1998. Typos cleaned up and minor changes to improve the presentation

Phys.Rept.330:193-261,2000

10.1016/S0370-1573(99)00111-8

McGill-98/25

hep-th cond-mat hep-ph

null

These notes review the effective lagrangian treatment of Goldstone and pseudo-Goldstone bosons, taking examples from high-energy/nuclear and condensed-matter physics. The contents are: 1. Goldstone Bosons 2. Pions: A Relativistic Application 3. Magnons: Nonrelativistic Applications 4. SO(5) Invariance and Superconductors 5. Bibliography

[ { "created": "Fri, 28 Aug 1998 23:04:51 GMT", "version": "v1" }, { "created": "Sat, 29 Aug 1998 12:58:46 GMT", "version": "v2" }, { "created": "Mon, 23 Aug 1999 19:34:52 GMT", "version": "v3" } ]

2011-04-15

[ [ "Burgess", "C. P.", "" ] ]

These notes review the effective lagrangian treatment of Goldstone and pseudo-Goldstone bosons, taking examples from high-energy/nuclear and condensed-matter physics. The contents are: 1. Goldstone Bosons 2. Pions: A Relativistic Application 3. Magnons: Nonrelativistic Applications 4. SO(5) Invariance and Superconductors 5. Bibliography

8.498146

8.052502

8.19076

8.00169

7.995269

7.242177

7.358019

7.336522

7.979399

8.803456

7.436431

7.13166

7.579261

7.375891

7.244914

7.246699

7.482732

7.364086

7.943101

7.915247

7.163961

2312.16282

Carolina Figueiredo

Nima Arkani-Hamed, Qu Cao, Jin Dong, Carolina Figueiredo, Song He

Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons

Added reference to early work of Gliozzi et. al. giving a different derivation of zeros for string amplitudes from monodromy relations, corrected typos

null

hep-th hep-ph

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

Recent years have seen the emergence of a new understanding of scattering amplitudes in the simplest theory of colored scalar particles - the Tr$(\phi^3)$ theory - based on combinatorial and geometric ideas in the kinematic space of scattering data. In this paper we report a surprise: far from the toy model it appears to be, the ''stringy'' Tr$(\phi^3)$ amplitudes secretly contain the scattering amplitudes for pions, as well as non-supersymmetric gluons, in any number of dimensions. The amplitudes for the different theories are given by one and the same function, related by a simple shift of the kinematics. This discovery was spurred by another fundamental observation: the tree-level Tr$(\phi^3)$ field theory amplitudes have a hidden pattern of zeros when a special set of non-planar Mandelstam invariants is set to zero. Furthermore, near these zeros, the amplitudes simplify, by factoring into a non-trivial product of smaller amplitudes. Remarkably the amplitudes for pions and gluons are observed to also vanish in the same kinematical locus. These properties further generalize to the ''stringy'' Tr$(\phi^3)$ amplitudes. There is a unique shift of the kinematic data that preserves the zeros, and this shift is precisely the one that unifies colored scalars, pions, and gluons into a single object. We will focus in this paper on explaining the hidden zeros and factorization properties and the connection between all the colored theories, working for simplicity at tree-level. Subsequent works will describe this new formulation for the Non-linear Sigma Model and non-supersymmetric Yang-Mills theory, at all loop orders.

[ { "created": "Tue, 26 Dec 2023 19:00:00 GMT", "version": "v1" }, { "created": "Wed, 1 May 2024 18:47:10 GMT", "version": "v2" } ]

2024-05-03

[ [ "Arkani-Hamed", "Nima", "" ], [ "Cao", "Qu", "" ], [ "Dong", "Jin", "" ], [ "Figueiredo", "Carolina", "" ], [ "He", "Song", "" ] ]

Recent years have seen the emergence of a new understanding of scattering amplitudes in the simplest theory of colored scalar particles - the Tr$(\phi^3)$ theory - based on combinatorial and geometric ideas in the kinematic space of scattering data. In this paper we report a surprise: far from the toy model it appears to be, the ''stringy'' Tr$(\phi^3)$ amplitudes secretly contain the scattering amplitudes for pions, as well as non-supersymmetric gluons, in any number of dimensions. The amplitudes for the different theories are given by one and the same function, related by a simple shift of the kinematics. This discovery was spurred by another fundamental observation: the tree-level Tr$(\phi^3)$ field theory amplitudes have a hidden pattern of zeros when a special set of non-planar Mandelstam invariants is set to zero. Furthermore, near these zeros, the amplitudes simplify, by factoring into a non-trivial product of smaller amplitudes. Remarkably the amplitudes for pions and gluons are observed to also vanish in the same kinematical locus. These properties further generalize to the ''stringy'' Tr$(\phi^3)$ amplitudes. There is a unique shift of the kinematic data that preserves the zeros, and this shift is precisely the one that unifies colored scalars, pions, and gluons into a single object. We will focus in this paper on explaining the hidden zeros and factorization properties and the connection between all the colored theories, working for simplicity at tree-level. Subsequent works will describe this new formulation for the Non-linear Sigma Model and non-supersymmetric Yang-Mills theory, at all loop orders.

8.57556

8.34998

9.374359

7.769523

8.28791

8.699257

8.590676

8.513264

8.022504

9.640908

7.839554

8.18715

8.272209

8.049074

8.140448

8.314088

8.010259

8.044705

8.074717

8.466557

8.218735

2309.11551

Niccol\`o Cribiori

Ralph Blumenhagen, Niccol\`o Cribiori, Aleksandar Gligovic, Antonia Paraskevopoulou

Demystifying the Emergence Proposal

29 pages + appendices, 1 figure; v2: clarifications on emergence proposal added; v3: version published on JHEP

null

MPP-2023-192

hep-th

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

We revisit the Emergence Proposal in the vector multiplet moduli space of type IIA N=2 supersymmetric string vacua in four dimensions, for which the string tree-level prepotential and the string one-loop correction are exactly known via mirror symmetry. We argue that there exists an exact notion of emergence, according to which these four-dimensional couplings can be computed exactly in any asymptotic limit in field space. In such limits, a perturbative quantum gravity theory emerges, whose fundamental degrees of freedom include all complete infinite towers of states with typical mass scale not larger than the species scale. For a decompactification limit, this picture is closely related to and in fact motivated by the computation of Gopakumar-Vafa invariants. In addition, in the same limit our results suggest that the emergent theory will also contain asymptotically tensionless wrapped NS5-branes.

[ { "created": "Wed, 20 Sep 2023 18:00:03 GMT", "version": "v1" }, { "created": "Wed, 27 Sep 2023 12:54:06 GMT", "version": "v2" }, { "created": "Sun, 14 Apr 2024 21:51:04 GMT", "version": "v3" } ]

2024-04-16

[ [ "Blumenhagen", "Ralph", "" ], [ "Cribiori", "Niccolò", "" ], [ "Gligovic", "Aleksandar", "" ], [ "Paraskevopoulou", "Antonia", "" ] ]

We revisit the Emergence Proposal in the vector multiplet moduli space of type IIA N=2 supersymmetric string vacua in four dimensions, for which the string tree-level prepotential and the string one-loop correction are exactly known via mirror symmetry. We argue that there exists an exact notion of emergence, according to which these four-dimensional couplings can be computed exactly in any asymptotic limit in field space. In such limits, a perturbative quantum gravity theory emerges, whose fundamental degrees of freedom include all complete infinite towers of states with typical mass scale not larger than the species scale. For a decompactification limit, this picture is closely related to and in fact motivated by the computation of Gopakumar-Vafa invariants. In addition, in the same limit our results suggest that the emergent theory will also contain asymptotically tensionless wrapped NS5-branes.

13.40953

11.641835

15.964636

11.425967

12.141591

13.209188

12.972533

11.997849

12.03666

17.5511

12.24382

12.808286

13.92607

12.835279

13.301867

12.555877

12.773325

12.583517

12.632059

14.702778

12.586019

1802.07271

Luiz Agostinho Ferreira

Y. Amari and L. A. Ferreira

Self-Dual Skyrmions on the Spheres $S^{2N+1}$

23 pages, 2 figures

Phys. Rev. D 97, 085006 (2018)

10.1103/PhysRevD.97.085006

null

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

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

We construct self-dual sectors for scalar field theories on a $(2N+2)$-dimensional Minkowski space-time with target space being the $2N+1$-dimensional sphere $S^{2N+1}$. The construction of such self-dual sectors is made possible by the introduction of an extra functional on the action that renders the static energy and the self-duality equations conformally invariant on the $(2N+1)$-dimensional spatial submanifold. The conformal and target space symmetries are used to build an ansatz that leads to an infinite number of exact self-dual solutions with arbitrary values of the topological charge. The five dimensional case is discussed in detail where it is shown that two types of theories admit self dual sectors. Our work generalizes the known results in the three-dimensional case that leads to an infinite set of self-dual Skyrmion solutions.

[ { "created": "Tue, 20 Feb 2018 19:00:04 GMT", "version": "v1" } ]

2018-04-18

[ [ "Amari", "Y.", "" ], [ "Ferreira", "L. A.", "" ] ]

We construct self-dual sectors for scalar field theories on a $(2N+2)$-dimensional Minkowski space-time with target space being the $2N+1$-dimensional sphere $S^{2N+1}$. The construction of such self-dual sectors is made possible by the introduction of an extra functional on the action that renders the static energy and the self-duality equations conformally invariant on the $(2N+1)$-dimensional spatial submanifold. The conformal and target space symmetries are used to build an ansatz that leads to an infinite number of exact self-dual solutions with arbitrary values of the topological charge. The five dimensional case is discussed in detail where it is shown that two types of theories admit self dual sectors. Our work generalizes the known results in the three-dimensional case that leads to an infinite set of self-dual Skyrmion solutions.

6.763199

6.415442

6.703425

6.197636

6.412132

6.738569

6.409444

6.625781

6.413409

7.536557

6.280107

6.209823

6.580549

6.396213

6.317718

6.304842

6.356743

6.2718

6.427531

6.763678

6.290663

hep-th/0405030

Manashov Alexander

M. Kirch, A. N. Manashov

Noncompact SL(2,R) spin chain

29 pages, 12 figures

JHEP 0406 (2004) 035

10.1088/1126-6708/2004/06/035

RUB-TP2-03/04

hep-th nlin.SI

null

We consider the integrable spin chain model - the noncompact SL(2,R) spin magnet. The spin operators are realized as the generators of the unitary principal series representation of the SL(2,R) group. In an explicit form, we construct R-matrix, the Baxter Q-operator and the transition kernel to the representation of the Separated Variables (SoV). The expressions for the energy and quasimomentum of the eigenstates in terms of the Baxter Q-operator are derived. The analytic properties of the eigenvalues of the Baxter operator as a function of the spectral parameter are established. Applying the diagrammatic approach, we calculate Sklyanin's integration measure in the separated variables and obtain the solution to the spectral problem for the model in terms of the eigenvalues of the Q-operator. We show that the transition kernel to the SoV representation is factorized into a product of certain operators each depending on a single separated variable.

[ { "created": "Tue, 4 May 2004 14:52:32 GMT", "version": "v1" } ]

2009-11-10

[ [ "Kirch", "M.", "" ], [ "Manashov", "A. N.", "" ] ]

We consider the integrable spin chain model - the noncompact SL(2,R) spin magnet. The spin operators are realized as the generators of the unitary principal series representation of the SL(2,R) group. In an explicit form, we construct R-matrix, the Baxter Q-operator and the transition kernel to the representation of the Separated Variables (SoV). The expressions for the energy and quasimomentum of the eigenstates in terms of the Baxter Q-operator are derived. The analytic properties of the eigenvalues of the Baxter operator as a function of the spectral parameter are established. Applying the diagrammatic approach, we calculate Sklyanin's integration measure in the separated variables and obtain the solution to the spectral problem for the model in terms of the eigenvalues of the Q-operator. We show that the transition kernel to the SoV representation is factorized into a product of certain operators each depending on a single separated variable.

7.015061

6.43806

7.367479

6.29068

7.729958

7.189366

7.133796

6.632844

6.691627

8.904592

6.564481

6.78664

7.216962

6.601395

6.841442

6.990129

6.830393

6.956962

6.737568

7.418983

6.75069

hep-th/9712224

Kenji Suzuki

Kenji Suzuki (Department of physics, Tokyo Institute of Technology)

Black hole entropy as T-duality invariant

15 pages, Revtex

Phys. Rev. D 58, 064025 (1998)

10.1103/PhysRevD.58.064025

null

hep-th

null

We study the Euler numbers and the entropies of the non-extremal intersecting D-branes in ten-dimensions. We use the surface gravity to constrain the compactification radii. We correctly obtain the integer valued Euler numbers for these radii. Moreover, the entropies are found to be invariant under the T-duality transformation. In the extremal limit, we obtain the finite entropies only for two intersecting D-branes. We observe that these entropies are proportional to the product of the charges of each D-brane. We further study the entropies of the boosted metrics. We find that their entropies can be interpreted in term of the microscopic states of D-branes.

[ { "created": "Wed, 24 Dec 1997 06:19:04 GMT", "version": "v1" }, { "created": "Mon, 6 Jul 1998 05:04:08 GMT", "version": "v2" } ]

2016-08-25

[ [ "Suzuki", "Kenji", "", "Department of physics, Tokyo Institute of Technology" ] ]

We study the Euler numbers and the entropies of the non-extremal intersecting D-branes in ten-dimensions. We use the surface gravity to constrain the compactification radii. We correctly obtain the integer valued Euler numbers for these radii. Moreover, the entropies are found to be invariant under the T-duality transformation. In the extremal limit, we obtain the finite entropies only for two intersecting D-branes. We observe that these entropies are proportional to the product of the charges of each D-brane. We further study the entropies of the boosted metrics. We find that their entropies can be interpreted in term of the microscopic states of D-branes.

8.063147

7.482711

7.454241

7.318007

7.940392

7.738342

7.889072

7.35308

7.119105

7.647393

7.442778

7.275171

7.251817

7.51284

7.510307

7.50063

7.422333

7.313741

7.349431

7.62156

7.250397

hep-th/0001024

Jerome P. Gauntlett

Jerome P. Gauntlett, Gary W. Gibbons, Christopher M. Hull and Paul K. Townsend

BPS states of D=4 N=1 supersymmetry

Latex, 27 pages. Various corrections and improvements including an expanded discussion on BPS states in adS

Commun.Math.Phys.216:431-459,2001

10.1007/s002200000341

QMW-PH-99-14,DAMTP-1999-137,LPTENS 99153

hep-th

null

We find the combinations of momentum and domain-wall charges corresponding to BPS states preserving 1/4, 1/2 or 3/4 of D=4 N=1 supersymmetry, and we show how the supersymmetry algebra implies their stability. These states form the boundary of the convex cone associated with the Jordan algebra of $4\times 4$ real symmetric matrices, and we explore some implications of the associated geometry. For the Wess-Zumino model we derive the conditions for preservation of 1/4 supersymmetry when one of two parallel domain-walls is rotated and in addition show that this model does not admit any classical configurations with 3/4 supersymmetry. Our analysis also provides information about BPS states of N=1 D=4 anti-de Sitter supersymmetry.

[ { "created": "Thu, 6 Jan 2000 16:39:15 GMT", "version": "v1" }, { "created": "Fri, 3 Mar 2000 16:42:25 GMT", "version": "v2" } ]

2019-08-17

[ [ "Gauntlett", "Jerome P.", "" ], [ "Gibbons", "Gary W.", "" ], [ "Hull", "Christopher M.", "" ], [ "Townsend", "Paul K.", "" ] ]

We find the combinations of momentum and domain-wall charges corresponding to BPS states preserving 1/4, 1/2 or 3/4 of D=4 N=1 supersymmetry, and we show how the supersymmetry algebra implies their stability. These states form the boundary of the convex cone associated with the Jordan algebra of $4\times 4$ real symmetric matrices, and we explore some implications of the associated geometry. For the Wess-Zumino model we derive the conditions for preservation of 1/4 supersymmetry when one of two parallel domain-walls is rotated and in addition show that this model does not admit any classical configurations with 3/4 supersymmetry. Our analysis also provides information about BPS states of N=1 D=4 anti-de Sitter supersymmetry.

8.669084

8.140733

9.107914

8.165541

8.775815

8.807439

7.953063

8.215914

7.932981

9.612264

7.950602

8.243732

8.798127

8.294906

8.213059

8.062293

8.263725

8.17608

8.18063

8.383454

7.867149

hep-th/0605090

Hideo Iguchi

Hideo Iguchi, Takashi Mishima

Solitonic generation of vacuum solutions in five-dimensional General Relativity

18 pages, 10 figures, published version

Phys.Rev.D74:024029,2006

10.1103/PhysRevD.74.024029

null

hep-th gr-qc

null

We describe a solitonic solution-generating technique for the five-dimensional General Relativity. Reducing the five-dimensional problem to the four-dimensional one, we can systematically obtain single-rotational axially symmetric vacuum solutions. Applying the technique for a simple seed solution, we have previously obtained the series of stationary solutions which includes $S^2$-rotating black ring. We analyze the qualitative features of these solutions, e.g., conical singularities, closed timelike curves, and spacetime curvatures. We investigate the rod structures of seed and solitonic solutions. We examine the relation between the expressions of the metric in the prolate-spheroidal coordinates and in the C-metric coordinates.

[ { "created": "Tue, 9 May 2006 03:30:01 GMT", "version": "v1" }, { "created": "Thu, 28 Dec 2006 08:51:40 GMT", "version": "v2" } ]

2008-11-26

[ [ "Iguchi", "Hideo", "" ], [ "Mishima", "Takashi", "" ] ]

We describe a solitonic solution-generating technique for the five-dimensional General Relativity. Reducing the five-dimensional problem to the four-dimensional one, we can systematically obtain single-rotational axially symmetric vacuum solutions. Applying the technique for a simple seed solution, we have previously obtained the series of stationary solutions which includes $S^2$-rotating black ring. We analyze the qualitative features of these solutions, e.g., conical singularities, closed timelike curves, and spacetime curvatures. We investigate the rod structures of seed and solitonic solutions. We examine the relation between the expressions of the metric in the prolate-spheroidal coordinates and in the C-metric coordinates.

10.891481

11.172

9.885417

10.445962

10.433074

10.269701

10.694834

9.764587

10.380513

10.539079

10.799341

10.952004

10.68389

10.330101

10.543779

10.502495

10.478521

10.325922

10.326102

10.533713

10.672112

1810.06532

Masahito Yamazaki

Hajime Fukuda, Ryo Saito, Satoshi Shirai, Masahito Yamazaki

Phenomenological Consequences of the Refined Swampland Conjecture

6 pages, 5 figures

Phys. Rev. D 99, 083520 (2019)

10.1103/PhysRevD.99.083520

IPMU-18-0165

hep-th astro-ph.CO hep-ph

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

We discuss phenomenological consequences of the recently-introduced refinements of the de Sitter swampland conjecture. The conjecture constraints the first and the second derivatives of the scalar potential in terms of two $O(1)$ constants $c$ and $c'$, leading to interesting constraints on particle phenomenology, especially inflationary model building. Our work can also be regarded as bottom-up constraints on the values of $c$ and $c'$.

[ { "created": "Mon, 15 Oct 2018 17:31:44 GMT", "version": "v1" }, { "created": "Tue, 23 Oct 2018 16:42:37 GMT", "version": "v2" } ]

2019-04-23

[ [ "Fukuda", "Hajime", "" ], [ "Saito", "Ryo", "" ], [ "Shirai", "Satoshi", "" ], [ "Yamazaki", "Masahito", "" ] ]

We discuss phenomenological consequences of the recently-introduced refinements of the de Sitter swampland conjecture. The conjecture constraints the first and the second derivatives of the scalar potential in terms of two $O(1)$ constants $c$ and $c'$, leading to interesting constraints on particle phenomenology, especially inflationary model building. Our work can also be regarded as bottom-up constraints on the values of $c$ and $c'$.

8.040598

6.166968

7.382053

7.136311

7.32623

6.575037

6.566366

6.444906

6.462717

7.666345

6.231392

6.964326

7.437154

7.273843

7.228112

6.993391

6.978106

6.904114

7.102598

7.520146

6.652856

1905.08304

Carlos A. R. Herdeiro

D. Astefanesei, C. Herdeiro, A. Pombo, E. Radu

Einstein-Maxwell-scalar black holes: classes of solutions, dyons and extremality

28 pages, 6 figures

null

10.1007/JHEP10(2019)078

null

hep-th gr-qc

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

Spherical black hole (BH) solutions in Einstein-Maxwell-scalar (EMS) models wherein the scalar field is non-minimally coupled to the Maxwell invariant by some coupling function are discussed. We suggest a classification for these models into two classes, based on the properties of the coupling function, which, in particular, allow, or not, the Reissner-Nordstr\"om (RN) BH solution of electrovacuum to solve a given model. Then, a comparative analysis of two illustrative families of solutions, one belonging to each class is performed: $dilatonic$ versus $scalarised$ BHs. By including magnetic charge, that is considering dyons, we show that scalarised BHs can have a smooth extremal limit, unlike purely electric or magnetic solutions. In particular, we study this extremal limit using the entropy function formalism, which provides insight on why both charges are necessary for extremal solutions to exist.

[ { "created": "Mon, 20 May 2019 19:19:12 GMT", "version": "v1" } ]

2020-01-08

[ [ "Astefanesei", "D.", "" ], [ "Herdeiro", "C.", "" ], [ "Pombo", "A.", "" ], [ "Radu", "E.", "" ] ]

Spherical black hole (BH) solutions in Einstein-Maxwell-scalar (EMS) models wherein the scalar field is non-minimally coupled to the Maxwell invariant by some coupling function are discussed. We suggest a classification for these models into two classes, based on the properties of the coupling function, which, in particular, allow, or not, the Reissner-Nordstr\"om (RN) BH solution of electrovacuum to solve a given model. Then, a comparative analysis of two illustrative families of solutions, one belonging to each class is performed: $dilatonic$ versus $scalarised$ BHs. By including magnetic charge, that is considering dyons, we show that scalarised BHs can have a smooth extremal limit, unlike purely electric or magnetic solutions. In particular, we study this extremal limit using the entropy function formalism, which provides insight on why both charges are necessary for extremal solutions to exist.

9.59995

10.346401

8.933659

9.097775

9.508257

9.57235

10.96762

8.83507

10.143132

8.774299

9.620255

9.390154

8.966558

8.826232

9.192789

9.115729

9.552401

9.030196

9.344558

9.105379

9.18832

hep-th/0307178

Fernando Falceto

Ivan Calvo, Fernando Falceto and David Garcia-Alvarez

Topological Poisson Sigma models on Poisson-Lie groups

LaTeX JHEP format, 15 pages. Minor corrections. Version published in JHEP

JHEP 0310 (2003) 033

10.1088/1126-6708/2003/10/033

null

hep-th

null

We solve the topological Poisson Sigma model for a Poisson-Lie group $G$ and its dual $G^*$. We show that the gauge symmetry for each model is given by its dual group that acts by dressing transformations on the target. The resolution of both models in the open geometry reveals that there exists a map from the reduced phase of each model ($P$ and $P^*$) to the main symplectic leaf of the Heisenberg double ($D_{0}$) such that the symplectic forms on $P$, $P^{*}$ are obtained as the pull-back by those maps of the symplectic structure on $D_{0}$. This uncovers a duality between $P$ and $P^{*}$ under the exchange of bulk degrees of freedom of one model with boundary degrees of freedom of the other one. We finally solve the Poisson Sigma model for the Poisson structure on $G$ given by a pair of $r$-matrices that generalizes the Poisson-Lie case. The Hamiltonian analysis of the theory requires the introduction of a deformation of the Heisenberg double.

[ { "created": "Fri, 18 Jul 2003 12:40:55 GMT", "version": "v1" }, { "created": "Thu, 13 Nov 2003 12:56:15 GMT", "version": "v2" } ]

2009-11-10

[ [ "Calvo", "Ivan", "" ], [ "Falceto", "Fernando", "" ], [ "Garcia-Alvarez", "David", "" ] ]

We solve the topological Poisson Sigma model for a Poisson-Lie group $G$ and its dual $G^*$. We show that the gauge symmetry for each model is given by its dual group that acts by dressing transformations on the target. The resolution of both models in the open geometry reveals that there exists a map from the reduced phase of each model ($P$ and $P^*$) to the main symplectic leaf of the Heisenberg double ($D_{0}$) such that the symplectic forms on $P$, $P^{*}$ are obtained as the pull-back by those maps of the symplectic structure on $D_{0}$. This uncovers a duality between $P$ and $P^{*}$ under the exchange of bulk degrees of freedom of one model with boundary degrees of freedom of the other one. We finally solve the Poisson Sigma model for the Poisson structure on $G$ given by a pair of $r$-matrices that generalizes the Poisson-Lie case. The Hamiltonian analysis of the theory requires the introduction of a deformation of the Heisenberg double.

5.356158

6.144386

6.231755

5.722463

5.856358

6.370949

6.139414

6.236119

5.958276

6.797898

5.874006

5.461592

6.201106

5.440953

5.398068

5.609715

5.392678

5.399737

5.513508

5.73283

5.26207

2403.03256

Gr\'egoire Mathys

Kurt Hinterbichler, Austin Joyce, Gr\'egoire Mathys

Impossible Symmetries and Conformal Gravity

30 pages + appendices

null

hep-th hep-ph

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

We explore the physics of relativistic gapless phases defined by a mixed anomaly between two generalized conserved currents. The gapless modes can be understood as Goldstone modes arising from the nonlinear realization of (generically higher-form) symmetries arising from these currents. In some cases, the anomaly cannot be reproduced by any local and unitary theory, indicating that the corresponding symmetries are impossible, in the sense that they cannot appear in a Lorentzian physical system. We consider many examples of the general construction. Most notably, we study conformal gravity from this perspective, describing the higher-form symmetries of the linear theory and showing how it can be understood in terms of anomalies. Along the way we clarify some aspects of electric-magnetic duality in linear conformal gravity.

[ { "created": "Tue, 5 Mar 2024 19:00:08 GMT", "version": "v1" } ]

2024-03-07

[ [ "Hinterbichler", "Kurt", "" ], [ "Joyce", "Austin", "" ], [ "Mathys", "Grégoire", "" ] ]

We explore the physics of relativistic gapless phases defined by a mixed anomaly between two generalized conserved currents. The gapless modes can be understood as Goldstone modes arising from the nonlinear realization of (generically higher-form) symmetries arising from these currents. In some cases, the anomaly cannot be reproduced by any local and unitary theory, indicating that the corresponding symmetries are impossible, in the sense that they cannot appear in a Lorentzian physical system. We consider many examples of the general construction. Most notably, we study conformal gravity from this perspective, describing the higher-form symmetries of the linear theory and showing how it can be understood in terms of anomalies. Along the way we clarify some aspects of electric-magnetic duality in linear conformal gravity.

11.009066

10.676493

10.996885

9.890401

10.336535

11.140239

11.582663

10.408202

10.173541

11.406419

9.974184

10.391036

10.822186

10.411989

10.297436

10.164571

10.410249

10.632115

10.55788

10.920702

10.098798

0901.2363

Marcus Spradlin

J. M. Drummond, M. Spradlin, A. Volovich, C. Wen

Tree-Level Amplitudes in N=8 Supergravity

27 pages, 5 figures, v2: typos corrected

Phys.Rev.D79:105018,2009

10.1103/PhysRevD.79.105018

null

hep-th

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

We present an algorithm for writing down explicit formulas for all tree amplitudes in N=8 supergravity, obtained from solving the supersymmetric on-shell recursion relations. The formula is patterned after one recently obtained for all tree amplitudes in N=4 super Yang-Mills which involves nested sums of dual superconformal invariants. We find that all graviton amplitudes can be written in terms of exactly the same structure of nested sums with two modifications: the dual superconformal invariants are promoted from N=4 to N=8 superspace in the simplest manner possible--by squaring them--and certain additional non-dual conformal gravity dressing factors (independent of the superspace coordinates) are inserted into the nested sums. To illustrate the procedure we give explicit closed-form formulas for all NMHV, NNMHV and NNNMV gravity superamplitudes.

[ { "created": "Fri, 16 Jan 2009 19:45:01 GMT", "version": "v1" }, { "created": "Wed, 29 Apr 2009 01:51:43 GMT", "version": "v2" } ]

2009-07-30

[ [ "Drummond", "J. M.", "" ], [ "Spradlin", "M.", "" ], [ "Volovich", "A.", "" ], [ "Wen", "C.", "" ] ]

We present an algorithm for writing down explicit formulas for all tree amplitudes in N=8 supergravity, obtained from solving the supersymmetric on-shell recursion relations. The formula is patterned after one recently obtained for all tree amplitudes in N=4 super Yang-Mills which involves nested sums of dual superconformal invariants. We find that all graviton amplitudes can be written in terms of exactly the same structure of nested sums with two modifications: the dual superconformal invariants are promoted from N=4 to N=8 superspace in the simplest manner possible--by squaring them--and certain additional non-dual conformal gravity dressing factors (independent of the superspace coordinates) are inserted into the nested sums. To illustrate the procedure we give explicit closed-form formulas for all NMHV, NNMHV and NNNMV gravity superamplitudes.

8.384518

7.20665

8.833551

6.908278

7.06708

7.523039

7.994117

7.473764

7.346733

9.24951

7.205901

7.370777

8.391075

7.735339

7.689192

7.699115

7.828674

7.313317

7.483903

7.969117

7.625589

hep-th/0607034

Bin Wang

Jianyong Shen, Bin Wang, Ru-Keng Su

The signals from the brane-world black Hole

14 pages, 8 figures, revised version, references added. Accepted for publication in PRD

Phys.Rev. D74 (2006) 044036

10.1103/PhysRevD.74.044036

null

hep-th astro-ph gr-qc

null

We have studied the wave dynamics and the Hawking radiation for the scalar field as well as the brane-localized gravitational field in the background of the braneworld black hole with tidal charge containing information of the extra dimension. Comparing with the four-dimensional black holes, we have observed the signature of the tidal charge which presents the signals of the extra dimension both in the wave dynamics and the Hawking radiation.

[ { "created": "Thu, 6 Jul 2006 07:31:32 GMT", "version": "v1" }, { "created": "Tue, 1 Aug 2006 02:12:46 GMT", "version": "v2" } ]

2009-11-11

[ [ "Shen", "Jianyong", "" ], [ "Wang", "Bin", "" ], [ "Su", "Ru-Keng", "" ] ]

We have studied the wave dynamics and the Hawking radiation for the scalar field as well as the brane-localized gravitational field in the background of the braneworld black hole with tidal charge containing information of the extra dimension. Comparing with the four-dimensional black holes, we have observed the signature of the tidal charge which presents the signals of the extra dimension both in the wave dynamics and the Hawking radiation.

10.275185

9.787585

7.941227

8.241901

8.796545

9.311275

9.45111

8.524919

9.062315

9.060257

9.221378

9.203256

8.972127

8.945021

8.960635

8.966312

9.163132

8.868914

9.080849

8.844919

8.90756

2407.07383

Christian Schubert

Naser Ahmadiniaz, Victor M. Banda Guzm\'an, James P. Edwards, Misha A. Lopez-Lopez, C. Moctezuma Mata, Luis A. Rodriguez Chac\'on, Christian Schubert, Rashid Shaisultanov

Worldline integration of photon amplitudes

13 pages, 3 figures, talk given by Christian Schubert at Loops and Legs in Quantum Field Theory (LL2024), 14-19 April 2024, Wittenberg, Germany

null

hep-th

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

It has been known for many years that methods inspired by string theory, such as the worldline formalism, allow one to write down integral representations that combine large numbers of Feynman diagrams of different topologies. However, to make this fact useful for state-of-the-art calculations one has to confront non-standard integration problems where neither the known integration techniques for Feynman diagrams nor algebraic manipulation programs are of much help. Here I will give a progress report on this long-term project focussing on photon amplitudes at one and two loops, in vacuum and in external fields.

[ { "created": "Wed, 10 Jul 2024 06:03:40 GMT", "version": "v1" } ]

2024-07-11

[ [ "Ahmadiniaz", "Naser", "" ], [ "Guzmán", "Victor M. Banda", "" ], [ "Edwards", "James P.", "" ], [ "Lopez-Lopez", "Misha A.", "" ], [ "Mata", "C. Moctezuma", "" ], [ "Chacón", "Luis A. Rodriguez", "" ], [ "Schubert", "Christian", "" ], [ "Shaisultanov", "Rashid", "" ] ]

It has been known for many years that methods inspired by string theory, such as the worldline formalism, allow one to write down integral representations that combine large numbers of Feynman diagrams of different topologies. However, to make this fact useful for state-of-the-art calculations one has to confront non-standard integration problems where neither the known integration techniques for Feynman diagrams nor algebraic manipulation programs are of much help. Here I will give a progress report on this long-term project focussing on photon amplitudes at one and two loops, in vacuum and in external fields.

10.413822

10.341496

10.308119

9.199656

9.848547

9.978901

9.866928

9.881426

9.578351

11.231511

9.534981

9.617879

9.915671

9.877151

9.922019

9.644909

9.939355

9.804993

9.486372

10.035439

10.038443

2405.16832

Nirmalya Kajuri

Arundhati Goldar and Nirmalya Kajuri

Bulk Reconstruction in De Sitter Spacetime

10 pages

null

hep-th

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

The bulk reconstruction program involves expressing local bulk fields as non-local operators on the boundary. It was initiated in the context of AdS/CFT correspondence. Attempts to extend it to de Sitter have been successful for heavy(principal series) scalar fields. For other fields, the construction ran into issues. In particular, divergences were found to appear for higher spin fields. In this paper, we resolve these issues and obtain boundary representations for scalars of all masses as well as higher spin fields. We trace the origin of the previously discovered divergences and show that the smearing function becomes distributional for certain values of mass, spin and dimension. We also extend the construction from Bunch-Davies vacuum to all $\alpha$-vacua.

[ { "created": "Mon, 27 May 2024 05:01:58 GMT", "version": "v1" } ]

2024-05-28

[ [ "Goldar", "Arundhati", "" ], [ "Kajuri", "Nirmalya", "" ] ]

The bulk reconstruction program involves expressing local bulk fields as non-local operators on the boundary. It was initiated in the context of AdS/CFT correspondence. Attempts to extend it to de Sitter have been successful for heavy(principal series) scalar fields. For other fields, the construction ran into issues. In particular, divergences were found to appear for higher spin fields. In this paper, we resolve these issues and obtain boundary representations for scalars of all masses as well as higher spin fields. We trace the origin of the previously discovered divergences and show that the smearing function becomes distributional for certain values of mass, spin and dimension. We also extend the construction from Bunch-Davies vacuum to all $\alpha$-vacua.

10.833082

8.200512

10.667216

8.543296

8.672187

7.753119

8.329313

7.896775

8.493341

10.73079

8.025906

8.636137

9.188325

8.647269

9.074062

8.67869

8.980205

8.365564

8.61698

9.39017

8.426852

hep-th/9308116

null

Paul Mansfield

Continuum Strong Coupling Expansion of Yang-Mills Theory: Quark Confinement and Infra-Red Slavery

18 pages, DTP-93-43 [original version corrupted by mailer]

Nucl.Phys.B418:113-130,1994

10.1016/0550-3213(94)90240-2

null

hep-th

null

We solve Schr\"odinger's equation for the ground-state of {\it four}-dimensional Yang-Mills theory as an expansion in inverse powers of the coupling. Expectation values computed with the leading order approximation are reduced to a calculation in {\it two}-dimensional Yang-Mills theory which is known to confine. Consequently the Wilson loop in the four-dimensional theory obeys an area law to leading order and the coupling becomes infinite as the mass-scale goes to zero.

[ { "created": "Wed, 25 Aug 1993 16:41:00 GMT", "version": "v1" }, { "created": "Sat, 4 Sep 1993 19:18:00 GMT", "version": "v2" } ]

2008-11-26

[ [ "Mansfield", "Paul", "" ] ]

We solve Schr\"odinger's equation for the ground-state of {\it four}-dimensional Yang-Mills theory as an expansion in inverse powers of the coupling. Expectation values computed with the leading order approximation are reduced to a calculation in {\it two}-dimensional Yang-Mills theory which is known to confine. Consequently the Wilson loop in the four-dimensional theory obeys an area law to leading order and the coupling becomes infinite as the mass-scale goes to zero.

8.752316

8.707516

8.40226

7.613436

8.398006

8.121602

8.226028

8.256018

7.579194

9.032806

7.641647

7.722375

7.845326

8.055926

7.525753

8.068389

7.971627

7.988348

7.895875

8.167597

7.843759

1810.08518

Thomas Van Riet

F. F. Gautason, V. Van Hemelryck, T. Van Riet

The tension between 10D supergravity and dS uplifts

v2: Minor corrections and references added. Submitted to Fortschritte der Physik

null

10.1002/prop.201800091

null

hep-th

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

We elaborate on the recent work of Moritz et. al. where it is argued that anti-brane uplifting in KKLT models never leads to dS vacua. This is due to flattening effects in the effective potential found when treating the gaugino condensate energy momentum in ten-dimensional supergravity. We point out that the Silverstein-Saltman uplift, which effectively dissolves the anti-brane in 3-form fluxes, is a conceptually simpler setting in which flattening effects can be present, without requiring assumptions about UV/IR mixings. Along the way we revise and improve on the arguments of Moritz et. al. and discuss various subleties when studying gaugino condensates from a ten-dimensional point-of-view. In particular, the "no dS" argument is slightly weaker and we emphasize a technical loophole that might allow dS vacua. Finally we suggest that AdS vacua which are parametrically controlled from these flattening effects belong to the Swampland. We comment on the relation with the recent refined dS Swampland inequalities.

[ { "created": "Fri, 19 Oct 2018 14:21:24 GMT", "version": "v1" }, { "created": "Tue, 23 Oct 2018 14:26:40 GMT", "version": "v2" } ]

2021-07-28

[ [ "Gautason", "F. F.", "" ], [ "Van Hemelryck", "V.", "" ], [ "Van Riet", "T.", "" ] ]

We elaborate on the recent work of Moritz et. al. where it is argued that anti-brane uplifting in KKLT models never leads to dS vacua. This is due to flattening effects in the effective potential found when treating the gaugino condensate energy momentum in ten-dimensional supergravity. We point out that the Silverstein-Saltman uplift, which effectively dissolves the anti-brane in 3-form fluxes, is a conceptually simpler setting in which flattening effects can be present, without requiring assumptions about UV/IR mixings. Along the way we revise and improve on the arguments of Moritz et. al. and discuss various subleties when studying gaugino condensates from a ten-dimensional point-of-view. In particular, the "no dS" argument is slightly weaker and we emphasize a technical loophole that might allow dS vacua. Finally we suggest that AdS vacua which are parametrically controlled from these flattening effects belong to the Swampland. We comment on the relation with the recent refined dS Swampland inequalities.

13.847329

13.213181

14.504591

13.153791

13.192349

12.34986

12.857027

13.077661

12.408587

14.90195

12.109839

12.747006

13.435019

12.686944

12.870791

12.638771

12.721279

12.638187

12.438922

13.068269

12.650187

hep-th/0608051

Martin Schmaltz

Martin Schmaltz and Raman Sundrum

Conformal Sequestering Simplified

25 pages

JHEP 0611:011,2006

10.1088/1126-6708/2006/11/011

null

hep-th hep-ph

null

Sequestering is important for obtaining flavor-universal soft masses in models where supersymmetry breaking is mediated at high scales. We construct a simple and robust class of hidden sector models which sequester themselves from the visible sector due to strong and conformally invariant hidden dynamics. Masses for hidden matter eventually break the conformal symmetry and lead to supersymmetry breaking by the mechanism recently discovered by Intriligator, Seiberg and Shih. We give a unified treatment of subtleties due to global symmetries of the CFT. There is enough review for the paper to constitute a self-contained account of conformal sequestering.

[ { "created": "Mon, 7 Aug 2006 23:27:13 GMT", "version": "v1" } ]

2009-11-11

[ [ "Schmaltz", "Martin", "" ], [ "Sundrum", "Raman", "" ] ]

Sequestering is important for obtaining flavor-universal soft masses in models where supersymmetry breaking is mediated at high scales. We construct a simple and robust class of hidden sector models which sequester themselves from the visible sector due to strong and conformally invariant hidden dynamics. Masses for hidden matter eventually break the conformal symmetry and lead to supersymmetry breaking by the mechanism recently discovered by Intriligator, Seiberg and Shih. We give a unified treatment of subtleties due to global symmetries of the CFT. There is enough review for the paper to constitute a self-contained account of conformal sequestering.

11.794334

10.758945

8.930151

9.344303

10.575924

11.092818

10.336073

11.093837

8.945906

9.050328

9.306835

8.847737

9.009713

8.694554

9.046259

8.980238

8.827634

8.959244

8.844768

8.600181

9.066705

1112.6173

Reinhard Alkofer

Reinhard Alkofer, Markus Q. Huber, Valentin Mader, Andreas Windisch

On the infrared behaviour of QCD Green functions in the Maximally Abelian gauge

12 pages, 4 figures; Talk given at the International Workshop on QCD Green's Functions, Confinement and Phenomenology, 5-9 September 2011, Trento, Italy

PoS QCD-TNT-II:003,2011

null

hep-th

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

Functional equations like exact renormalisation group and Dyson-Schwinger equations have contributed to a better understanding of non-perturbative phenomena in quantum field theories in terms of the underlying Green functions. In Yang-Mills theory especially the Landau gauge has been used, as it is the most accessible gauge for these methods. In the maximally Abelian gauge first results have been obtained which are very encouraging because Abelian infrared dominance has been found: The Abelian part of the gauge field propagator is enhanced at low momenta and thereby dominates the dynamics in the infrared. Also the ambiguity of two different types of solutions (decoupling and scaling) exists in both gauges. It is demonstrated how the two solutions are related in the maximally Abelian gauge. As in all two-point Dyson-Schwinger equations of the MAG the infrared dominant diagrams are sunset diagrams, in addition, a BPHZ regularisation and renormalisation of a test system with a sunset-like diagram is presented.

[ { "created": "Wed, 28 Dec 2011 19:59:30 GMT", "version": "v1" } ]

2012-01-05

[ [ "Alkofer", "Reinhard", "" ], [ "Huber", "Markus Q.", "" ], [ "Mader", "Valentin", "" ], [ "Windisch", "Andreas", "" ] ]

Functional equations like exact renormalisation group and Dyson-Schwinger equations have contributed to a better understanding of non-perturbative phenomena in quantum field theories in terms of the underlying Green functions. In Yang-Mills theory especially the Landau gauge has been used, as it is the most accessible gauge for these methods. In the maximally Abelian gauge first results have been obtained which are very encouraging because Abelian infrared dominance has been found: The Abelian part of the gauge field propagator is enhanced at low momenta and thereby dominates the dynamics in the infrared. Also the ambiguity of two different types of solutions (decoupling and scaling) exists in both gauges. It is demonstrated how the two solutions are related in the maximally Abelian gauge. As in all two-point Dyson-Schwinger equations of the MAG the infrared dominant diagrams are sunset diagrams, in addition, a BPHZ regularisation and renormalisation of a test system with a sunset-like diagram is presented.

12.136049

9.642767

13.22308

10.604716

12.470499

14.729239

12.047743

10.736316

9.777025

14.711028

10.594004

11.022211

12.058789

11.391936

11.734644

11.463017

11.718363

11.370651

10.906896

12.076026

11.030715

2012.10450

Sandipan Kundu

RG Flows with Global Symmetry Breaking and Bounds from Chaos

39 pages + appendices, multiple figures

null

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

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

We discuss general aspects of renormalization group (RG) flows between two conformal fixed points in 4d with a broken continuous global symmetry in the UV. Every such RG flow can be described in terms of the dynamics of Nambu-Goldstone bosons of broken conformal and global symmetries. We derive the low-energy effective action that describes this class of RG flows from basic symmetry principles. We view the theory of Nambu-Goldstone bosons as a theory in anti-de Sitter space with the flat space limit. This enables an equivalent CFT$_3$ formulation of these 4d RG flows in terms of spectral deformations of a generalized free CFT$_3$. We utilize this dual description to impose further constraints on the low energy effective action associated with unitary RG flows in 4d by invoking the chaos bound in 3d. This approach naturally provides a set of independent monotonically decreasing $C$-functions for 4d RG flows with global symmetry breaking by explicitly relating 4d $C$-functions with certain out-of-time-order correlators that diagnose chaos in 3d. We also comment on a more general connection between RG and chaos in QFT.

[ { "created": "Fri, 18 Dec 2020 19:00:00 GMT", "version": "v1" }, { "created": "Fri, 3 Dec 2021 16:03:42 GMT", "version": "v2" } ]

2021-12-06

[ [ "Kundu", "Sandipan", "" ] ]

We discuss general aspects of renormalization group (RG) flows between two conformal fixed points in 4d with a broken continuous global symmetry in the UV. Every such RG flow can be described in terms of the dynamics of Nambu-Goldstone bosons of broken conformal and global symmetries. We derive the low-energy effective action that describes this class of RG flows from basic symmetry principles. We view the theory of Nambu-Goldstone bosons as a theory in anti-de Sitter space with the flat space limit. This enables an equivalent CFT$_3$ formulation of these 4d RG flows in terms of spectral deformations of a generalized free CFT$_3$. We utilize this dual description to impose further constraints on the low energy effective action associated with unitary RG flows in 4d by invoking the chaos bound in 3d. This approach naturally provides a set of independent monotonically decreasing $C$-functions for 4d RG flows with global symmetry breaking by explicitly relating 4d $C$-functions with certain out-of-time-order correlators that diagnose chaos in 3d. We also comment on a more general connection between RG and chaos in QFT.

7.889359

7.572287

8.323563

7.344867

7.801227

7.448794

7.369019

7.317068

7.608158

8.903214

7.259101

7.690323

7.907044

7.511306

7.773279

7.60345

7.838268

7.624581

7.549232

8.205326

7.503245

1512.08771

John R. Hiller

J.R. Hiller

Pauli-Villars regularization of non-Abelian gauge theories

8 pages; RevTeX 4.1; invited talk presented at the Lightcone 2015 workshop, Frascati, Italy, September 21-25, 2015

null

10.1007/s00601-016-1098-9

null

hep-th

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

As an extension of earlier work on QED, we construct a BRST-invariant Lagrangian for SU(N) Yang-Mills theory with fundamental matter, regulated by the inclusion of massive Pauli-Villars (PV) gluons and PV quarks. The underlying gauge symmetry for massless PV gluons is generalized to accommodate the PV-index-changing currents that are required by the regularization. Auxiliary adjoint scalars are used, in a mechanism due to Stueckelberg, to attribute mass to the PV gluons and the PV quarks. The addition of Faddeev--Popov ghosts then establishes a residual BRST symmetry. Although there are drawbacks to the approach, in particular the computational load of a large number of PV fields and a nonlocal interaction of the ghost fields, this formulation could provide a foundation for renormalizable nonperturbative solutions of light-front QCD in an arbitrary covariant gauge.

[ { "created": "Tue, 29 Dec 2015 20:04:20 GMT", "version": "v1" } ]

2016-05-04

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

As an extension of earlier work on QED, we construct a BRST-invariant Lagrangian for SU(N) Yang-Mills theory with fundamental matter, regulated by the inclusion of massive Pauli-Villars (PV) gluons and PV quarks. The underlying gauge symmetry for massless PV gluons is generalized to accommodate the PV-index-changing currents that are required by the regularization. Auxiliary adjoint scalars are used, in a mechanism due to Stueckelberg, to attribute mass to the PV gluons and the PV quarks. The addition of Faddeev--Popov ghosts then establishes a residual BRST symmetry. Although there are drawbacks to the approach, in particular the computational load of a large number of PV fields and a nonlocal interaction of the ghost fields, this formulation could provide a foundation for renormalizable nonperturbative solutions of light-front QCD in an arbitrary covariant gauge.

10.20982

9.673015

9.648499

9.100496

9.520779

8.990551

9.149994

9.464997

9.019849

9.91216

9.618759

9.268875

9.450391

9.540979

9.238428

9.63804

9.316758

9.378401

9.395995

9.574664

9.512856

hep-th/0508160

Rahmi Gueven

R. Gueven

The Conformal Penrose Limit and the Resolution of the pp-curvature Singularities

20 pages, LaTeX; typos corrected, journal version

Class.Quant.Grav.23:295-308,2006

10.1088/0264-9381/23/2/001

null

hep-th

null

We consider the exact solutions of the supergravity theories in various dimensions in which the space-time has the form M_{d} x S^{D-d} where M_{d} is an Einstein space admitting a conformal Killing vector and S^{D-d} is a sphere of an appropriate dimension. We show that, if the cosmological constant of M_{d} is negative and the conformal Killing vector is space-like, then such solutions will have a conformal Penrose limit: M^{(0)}_{d} x S^{D-d} where M^{(0)}_{d} is a generalized d-dimensional AdS plane wave. We study the properties of the limiting solutions and find that M^{(0)}_{d} has 1/4 supersymmetry as well as a Virasoro symmetry. We also describe how the pp-curvature singularity of M^{(0)}_{d} is resolved in the particular case of the D6-branes of D=10 type IIA supergravity theory. This distinguished case provides an interesting generalization of the plane waves in D=11 supergravity theory and suggests a duality between the SU(2) gauged d=8 supergravity of Salam and Sezgin on M^{(0)}_{8} and the d=7 ungauged supergravity theory on its pp-wave boundary.

[ { "created": "Mon, 22 Aug 2005 19:54:03 GMT", "version": "v1" }, { "created": "Sun, 19 Feb 2006 18:42:23 GMT", "version": "v2" } ]

2009-11-11

[ [ "Gueven", "R.", "" ] ]

We consider the exact solutions of the supergravity theories in various dimensions in which the space-time has the form M_{d} x S^{D-d} where M_{d} is an Einstein space admitting a conformal Killing vector and S^{D-d} is a sphere of an appropriate dimension. We show that, if the cosmological constant of M_{d} is negative and the conformal Killing vector is space-like, then such solutions will have a conformal Penrose limit: M^{(0)}_{d} x S^{D-d} where M^{(0)}_{d} is a generalized d-dimensional AdS plane wave. We study the properties of the limiting solutions and find that M^{(0)}_{d} has 1/4 supersymmetry as well as a Virasoro symmetry. We also describe how the pp-curvature singularity of M^{(0)}_{d} is resolved in the particular case of the D6-branes of D=10 type IIA supergravity theory. This distinguished case provides an interesting generalization of the plane waves in D=11 supergravity theory and suggests a duality between the SU(2) gauged d=8 supergravity of Salam and Sezgin on M^{(0)}_{8} and the d=7 ungauged supergravity theory on its pp-wave boundary.

5.656573

5.532266

6.239785

5.590564

6.190372

6.203383

5.883187

5.717592

5.483165

6.806132

5.329354

5.506102

5.664502

5.407406

5.563126

5.618058

5.449076

5.497264

5.294121

5.738064

5.542808

1203.2265

Mohammad M. Sheikh-Jabbari

M.M. Sheikh-Jabbari

Gauge-flation Vs Chromo-Natural Inflation

4 page, no figures

null

10.1016/j.physletb.2012.09.014

IPM/P-2012/009

hep-th astro-ph.CO hep-ph

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

Gauge-flation, non-Abelian gauge field inflation, which was introduced in arXiv:1102.1513 and analyzed more thoroughly in arXiv:1102.1932, is a model of inflation driven by non-Abelian gauge fields minimally coupled to Einstein gravity. In this model certain rotationally invariant combination of gauge fields play the role of inflaton. Recently, the chromo-natural inflation model was proposed arXiv:1202.2366 which besides the non-Abelian gauge fields also involve an axion field. In this short note we show that the model involving axions, indeed allows for various slow-roll trajectories for different values of its parameters: A specific trajectory discussed in arXiv:1202.2366 starts from a "small axion" region, while the trajectory considered in arXiv:1102.1513 corresponds to a "large axion" region.

[ { "created": "Sat, 10 Mar 2012 17:15:25 GMT", "version": "v1" } ]

2015-06-04

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

Gauge-flation, non-Abelian gauge field inflation, which was introduced in arXiv:1102.1513 and analyzed more thoroughly in arXiv:1102.1932, is a model of inflation driven by non-Abelian gauge fields minimally coupled to Einstein gravity. In this model certain rotationally invariant combination of gauge fields play the role of inflaton. Recently, the chromo-natural inflation model was proposed arXiv:1202.2366 which besides the non-Abelian gauge fields also involve an axion field. In this short note we show that the model involving axions, indeed allows for various slow-roll trajectories for different values of its parameters: A specific trajectory discussed in arXiv:1202.2366 starts from a "small axion" region, while the trajectory considered in arXiv:1102.1513 corresponds to a "large axion" region.

6.960105

7.110894

7.421677

7.067455

7.789102

7.390404

7.28226

7.058563

6.497747

7.244819

6.594139

6.403205

6.790962

6.460036

6.390726

6.396491

6.51816

6.594357

6.482844

6.758759

6.537012

hep-th/0505133

Rong-Gen Cai

Rong-Gen Cai, Li-Ming Cao, Da-Wei Pang

Thermodynamics of Dual CFTs for Kerr-AdS Black Holes

Revtex4, twocolumn, 6 pages, v2: 7 pages, more references and comments added, an err corrected

Phys.Rev.D72:044009,2005

10.1103/PhysRevD.72.044009

null

hep-th gr-qc

null

Recently Gibbons {\it et al.} in hep-th/0408217 defined a set of conserved quantities for Kerr-AdS black holes with the maximal number of rotation parameters in arbitrary dimension. This set of conserved quantities is defined with respect to a frame which is non-rotating at infinity. On the other hand, there is another set of conserved quantities for Kerr-AdS black holes, defined by Hawking {\it et al.} in hep-th/9811056, which is measured relative to a frame rotating at infinity. Gibbons {\it et al.} explicitly showed that the quantities defined by them satisfy the first law of black hole thermodynamics, while those quantities defined by Hawking {\it et al.} do not obey the first law. In this paper we discuss thermodynamics of dual CFTs to the Kerr-AdS black holes by mapping the bulk thermodynamic quantities to the boundary of the AdS space. We find that thermodynamic quantities of dual CFTs satisfy the first law of thermodynamics and Cardy-Verlinde formula only when these thermodynamic quantities result from the set of bulk quantities given by Hawking {\it et al.}. We discuss the implication of our results.

[ { "created": "Mon, 16 May 2005 08:47:49 GMT", "version": "v1" }, { "created": "Tue, 14 Jun 2005 08:12:53 GMT", "version": "v2" } ]

2008-11-26

[ [ "Cai", "Rong-Gen", "" ], [ "Cao", "Li-Ming", "" ], [ "Pang", "Da-Wei", "" ] ]

Recently Gibbons {\it et al.} in hep-th/0408217 defined a set of conserved quantities for Kerr-AdS black holes with the maximal number of rotation parameters in arbitrary dimension. This set of conserved quantities is defined with respect to a frame which is non-rotating at infinity. On the other hand, there is another set of conserved quantities for Kerr-AdS black holes, defined by Hawking {\it et al.} in hep-th/9811056, which is measured relative to a frame rotating at infinity. Gibbons {\it et al.} explicitly showed that the quantities defined by them satisfy the first law of black hole thermodynamics, while those quantities defined by Hawking {\it et al.} do not obey the first law. In this paper we discuss thermodynamics of dual CFTs to the Kerr-AdS black holes by mapping the bulk thermodynamic quantities to the boundary of the AdS space. We find that thermodynamic quantities of dual CFTs satisfy the first law of thermodynamics and Cardy-Verlinde formula only when these thermodynamic quantities result from the set of bulk quantities given by Hawking {\it et al.}. We discuss the implication of our results.

4.911493

4.731506

5.110258

4.390269

4.682899

4.794163

4.900424

4.465954

4.613779

5.316878

4.638954

4.589681

4.796228

4.501552

4.530408

4.572773

4.646821

4.614938

4.724324

4.840608

4.627296

hep-th/0011073

Angel M. Uranga

G. Aldazabal, S. Franco, L. E. Ibanez, R. Rabadan, A. M. Uranga

D=4 Chiral String Compactifications from Intersecting Branes

35 pages, latex. Minor mistakes in mass formulae corrected

J.Math.Phys.42:3103-3126,2001

10.1063/1.1376157

CAB-IB 2918200, CERN-TH/2000-321, CTP-MIT-3041, FTUAM-00/22, IFT-UAM/CSIC-00-36

hep-th hep-ph

null

Intersecting Dp-branes often give rise to chiral fermions living on their intersections. We study the construction of four-dimensional chiral gauge theories by considering configurations of type II D(3+n)-branes wrapped on non-trivial n-cycles on T^{2n} x(R^{2(3-n)}/Z_N), for n=1,2,3. The gauge theories on the four non-compact dimensions of the brane world-volume are generically chiral and non-supersymmetric. We analyze consistency conditions (RR tadpole cancellation) for these models, and their relation to four-dimensional anomaly cancellation. Cancellation of U(1) gauge anomalies involves a Green-Schwarz mechanism mediated by RR partners of untwisted and/or twisted moduli. This class of models is of potential phenomenological interest, and we construct explicit examples of SU(3) x SU(2) x U(1) three-generation models. The models are non-supersymmetric, but the string scale may be lowered close to the weak scale so that the standard hierarchy problem is avoided. We also comment on the presence of scalar tachyons and possible ways to avoid the associated instabilities. We discuss the existence of (meta)stable configurations of D-branes on 3-cycles in (T^2)^3, free of tachyons for certain ranges of the six-torus moduli.

[ { "created": "Thu, 9 Nov 2000 15:58:43 GMT", "version": "v1" }, { "created": "Mon, 20 Nov 2000 13:02:15 GMT", "version": "v2" }, { "created": "Wed, 11 Jul 2001 08:19:05 GMT", "version": "v3" } ]

2009-10-09

[ [ "Aldazabal", "G.", "" ], [ "Franco", "S.", "" ], [ "Ibanez", "L. E.", "" ], [ "Rabadan", "R.", "" ], [ "Uranga", "A. M.", "" ] ]

Intersecting Dp-branes often give rise to chiral fermions living on their intersections. We study the construction of four-dimensional chiral gauge theories by considering configurations of type II D(3+n)-branes wrapped on non-trivial n-cycles on T^{2n} x(R^{2(3-n)}/Z_N), for n=1,2,3. The gauge theories on the four non-compact dimensions of the brane world-volume are generically chiral and non-supersymmetric. We analyze consistency conditions (RR tadpole cancellation) for these models, and their relation to four-dimensional anomaly cancellation. Cancellation of U(1) gauge anomalies involves a Green-Schwarz mechanism mediated by RR partners of untwisted and/or twisted moduli. This class of models is of potential phenomenological interest, and we construct explicit examples of SU(3) x SU(2) x U(1) three-generation models. The models are non-supersymmetric, but the string scale may be lowered close to the weak scale so that the standard hierarchy problem is avoided. We also comment on the presence of scalar tachyons and possible ways to avoid the associated instabilities. We discuss the existence of (meta)stable configurations of D-branes on 3-cycles in (T^2)^3, free of tachyons for certain ranges of the six-torus moduli.

7.259003

6.788921

7.395696

6.553128

6.748401

6.859444

6.64938

6.270063

6.559252

7.424603

6.630833

6.47409

6.756895

6.39674

6.419019

6.38405

6.656343

6.294587

6.34034

6.5743

6.422291

hep-th/9805096

Michael Spalinski

A. Fayyazuddin and M. Spalinski

Large N Superconformal Gauge Theories and Supergravity Orientifolds

Latex. Typos corrected (version appearing in Nucl. Phys. B)

Nucl.Phys. B535 (1998) 219-232

10.1016/S0550-3213(98)00545-8

HUTP-98/A037

hep-th

null

Maldacena's duality between conformal field theories and supergravity is applied to some conformal invariant models with 8 supercharges appearing in the F-theory moduli space on a locus of constant coupling. This includes Sp(2N) gauge theories describing the worldvolume dynamics of D3-branes in the presence of D7-branes and an orientifold plane. Other examples of this kind are models with exceptional global symmetries which have no perturbative field theory description. In all these cases the duality is used to describe perturbations by primary marginal and relevant operators.

[ { "created": "Fri, 15 May 1998 21:40:02 GMT", "version": "v1" }, { "created": "Fri, 12 Jun 1998 20:03:32 GMT", "version": "v2" }, { "created": "Tue, 15 Sep 1998 13:00:12 GMT", "version": "v3" } ]

2009-10-31

[ [ "Fayyazuddin", "A.", "" ], [ "Spalinski", "M.", "" ] ]

Maldacena's duality between conformal field theories and supergravity is applied to some conformal invariant models with 8 supercharges appearing in the F-theory moduli space on a locus of constant coupling. This includes Sp(2N) gauge theories describing the worldvolume dynamics of D3-branes in the presence of D7-branes and an orientifold plane. Other examples of this kind are models with exceptional global symmetries which have no perturbative field theory description. In all these cases the duality is used to describe perturbations by primary marginal and relevant operators.

10.26982

8.979361

10.063237

8.966744

9.647964

9.535451

9.485909

8.996106

8.899576

12.201403

9.163897

8.843039

9.704757

8.823636

9.155833

8.969208

8.894608

8.483454

9.32001

9.77872

9.143665

hep-th/9802011

null

Y. S. Kim

Wigner's Photons

RevTex 6 pages,no figures,presented at the 5th International Conference on Squeezed States and Uncertainty Relations (Lake Balatonfured, Hungary, May 27-31, 1997), to be published in the Proceedings

null

hep-th hep-ph quant-ph

null

If Einstein's photon is $E = cp = \hbar\omega$, Wigner's photon is its helicity which is a Lorentz-invariant concept coming from the E(2)-like little group for massless particles. In addition, the E(2)-like little group has two translation-like degrees of freedom. What happens to them? They are associated with the gauge degree of freedom. Since the physics of polarized light waves can be formulated within the framework of the Lorentz group, it is now possible to use polarization experiments to study the E(2)-like little group in terms of quantities that can be measured in laboratories.

[ { "created": "Tue, 3 Feb 1998 16:32:52 GMT", "version": "v1" } ]

2007-05-23

[ [ "Kim", "Y. S.", "" ] ]

If Einstein's photon is $E = cp = \hbar\omega$, Wigner's photon is its helicity which is a Lorentz-invariant concept coming from the E(2)-like little group for massless particles. In addition, the E(2)-like little group has two translation-like degrees of freedom. What happens to them? They are associated with the gauge degree of freedom. Since the physics of polarized light waves can be formulated within the framework of the Lorentz group, it is now possible to use polarization experiments to study the E(2)-like little group in terms of quantities that can be measured in laboratories.

11.521314

11.638778

11.598174

10.458916

12.006591

11.057333

11.774776

11.068443

10.492414

11.955129

10.580259

10.537411

10.350188

10.556693

10.816813

11.091671

10.828504

10.955144

10.92538

10.722771

10.180629

hep-th/0003088

Marcello Barbosa da Silva Neto

Marcello B. Silva Neto

From cool pions to the chiral phase transition

RevTex, 3 pages, no figures

null

hep-th

null

Using the ideas of effective field theory and dimensional reduction, we relate the parameters of two low energy models of QCD: the O(N) nonlinear sigma model in D=3+1, which describes the dynamics of cool pions, and the O(N) Heisenberg magnet in D=3+0, which is commonly argued to reproduce the correct critical behaviour of the chiral phase transition. As a result, we obtain a generalized expression for the finite temperature pion decay constant which reproduces, in certain limits, the available expressions in the literature.

[ { "created": "Sun, 12 Mar 2000 18:45:14 GMT", "version": "v1" } ]

2007-05-23

[ [ "Neto", "Marcello B. Silva", "" ] ]

Using the ideas of effective field theory and dimensional reduction, we relate the parameters of two low energy models of QCD: the O(N) nonlinear sigma model in D=3+1, which describes the dynamics of cool pions, and the O(N) Heisenberg magnet in D=3+0, which is commonly argued to reproduce the correct critical behaviour of the chiral phase transition. As a result, we obtain a generalized expression for the finite temperature pion decay constant which reproduces, in certain limits, the available expressions in the literature.

9.347454

8.738464

8.639347

8.343429

9.298374

9.18673

8.931903

9.527689

8.339947

8.427715

8.467037

7.964359

7.999009

7.927555

8.452358

8.568394

7.934774

8.102018

7.72614

8.08102

8.371116

1806.10339

Hiroki Matsui

Instability of De Sitter Spacetime induced by Quantum Conformal Anomaly

30 pages, 9 figures, references added, version accepted for publication in JCAP

JCAP 01 (2019) 003

10.1088/1475-7516/2019/01/003

TU-1067

hep-th gr-qc hep-ph

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

The instability of (quasi) de Sitter spacetime from quantum gravitational effects has been discussed in many works. Especially, the gravitational backreaction from quantum energy momentum tensor is crucial for understanding the low-energy description of quantum gravity and sometimes destabilize the spacetime. In this paper we discuss the (quasi) de Sitter instability from gravitational backreaction involving quantum conformal anomaly. The conformal or trace anomaly corresponds to the quantum gravitational contributions of the massless conformal fields and affects the spacetime homogeneously. First, we derive the conformal anomaly using the adiabatic (WKB) approximation and discuss the renormalization of the quantum energy momentum tensor. Then, we consider the dynamics of the Hubble parameter based on the semiclassical Einstein's equations including the cosmological constant, the conformal anomaly and the higher-derivative terms. We have clearly shown that the classical de Sitter attractor $H_{\mathrm{C}} \simeq \sqrt{{\Lambda}/{3}}$ are generally unstable from the viewpoint of the semiclassical gravity and the inflation is destabilized except for the specific conditions. Unless the fine-tuning of the conformal anomaly and the higher derivative terms, the inflation finally becomes the Planckian inflation with the Hubble scale $H \approx M_{\rm P}\equiv \sqrt{1/8\pi G_{N}}$ or terminates $H(t) \rightarrow 0$. The latter case suggests that the cosmic inflation could not last long and the eternal inflation scenarios are strongly constrained.

[ { "created": "Wed, 27 Jun 2018 08:34:42 GMT", "version": "v1" }, { "created": "Sun, 19 Aug 2018 05:46:33 GMT", "version": "v2" }, { "created": "Sat, 5 Jan 2019 04:48:55 GMT", "version": "v3" } ]

2019-01-08

[ [ "Matsui", "Hiroki", "" ] ]

The instability of (quasi) de Sitter spacetime from quantum gravitational effects has been discussed in many works. Especially, the gravitational backreaction from quantum energy momentum tensor is crucial for understanding the low-energy description of quantum gravity and sometimes destabilize the spacetime. In this paper we discuss the (quasi) de Sitter instability from gravitational backreaction involving quantum conformal anomaly. The conformal or trace anomaly corresponds to the quantum gravitational contributions of the massless conformal fields and affects the spacetime homogeneously. First, we derive the conformal anomaly using the adiabatic (WKB) approximation and discuss the renormalization of the quantum energy momentum tensor. Then, we consider the dynamics of the Hubble parameter based on the semiclassical Einstein's equations including the cosmological constant, the conformal anomaly and the higher-derivative terms. We have clearly shown that the classical de Sitter attractor $H_{\mathrm{C}} \simeq \sqrt{{\Lambda}/{3}}$ are generally unstable from the viewpoint of the semiclassical gravity and the inflation is destabilized except for the specific conditions. Unless the fine-tuning of the conformal anomaly and the higher derivative terms, the inflation finally becomes the Planckian inflation with the Hubble scale $H \approx M_{\rm P}\equiv \sqrt{1/8\pi G_{N}}$ or terminates $H(t) \rightarrow 0$. The latter case suggests that the cosmic inflation could not last long and the eternal inflation scenarios are strongly constrained.

7.88275

8.668738

8.08964

7.669791

8.565812

8.095656

8.501493

8.045697

7.681385

8.544944

7.98491

7.732221

7.524219

7.455526

7.66547

7.525229

7.511555

7.698628

7.593856

7.63032

7.512172

hep-th/0609062

Tom Banks

T. Banks, B. Fiol, A. Morisse

Towards a quantum theory of de Sitter space

JHEP3 LaTex - 19 pages

JHEP0612:004,2006

10.1088/1126-6708/2006/12/004

RUNHETC-06-21, SCIPP-06-11, ITFA-2006-31

hep-th

null

We describe progress towards constructing a quantum theory of de Sitter space in four dimensions. In particular we indicate how both particle states and Schwarzschild de Sitter black holes can arise as excitations in a theory of a finite number of fermionic oscillators. The results about particle states depend on a conjecture about algebras of Grassmann variables, which we state, but do not prove.

[ { "created": "Fri, 8 Sep 2006 16:23:45 GMT", "version": "v1" } ]

2009-11-11

[ [ "Banks", "T.", "" ], [ "Fiol", "B.", "" ], [ "Morisse", "A.", "" ] ]

We describe progress towards constructing a quantum theory of de Sitter space in four dimensions. In particular we indicate how both particle states and Schwarzschild de Sitter black holes can arise as excitations in a theory of a finite number of fermionic oscillators. The results about particle states depend on a conjecture about algebras of Grassmann variables, which we state, but do not prove.

10.863346

9.289814

10.043556

9.198239

10.278798

8.965859

10.247371

8.711641

9.644758

10.901176

9.955356

9.87107

10.306623

9.941872

9.749692

9.738901

9.834876

10.003537

10.130267

10.304609

9.731766

hep-th/0605043

Ahmad Sheykhi

A. Sheykhi, N. Riazi and M. H. Mahzoon

Asymptotically nonflat Einstein-Born-Infeld-dilaton black holes with Liouville-type potential

15pages

Phys.Rev.D74:044025,2006

10.1103/PhysRevD.74.044025

null

hep-th

null

We construct some classes of electrically charged, static and spherically symmetric black hole solutions of the four-dimensional Einstein-Born-Infeld-dilaton gravity in the absence and presence of Liouville-type potential for the dilaton field and investigate their properties. These solutions are neither asymptotically flat nor (anti)-de Sitter. We show that in the presence of the Liouville-type potential, there exist two classes of solutions. We also compute temperature, entropy, charge and mass of the black hole solutions, and find that these quantities satisfy the first law of thermodynamics. We find that in order to fully satisfy all the field equations consistently, there must be a relation between the electric charge and other parameters of the system..

[ { "created": "Wed, 3 May 2006 15:57:28 GMT", "version": "v1" }, { "created": "Sat, 6 May 2006 09:56:09 GMT", "version": "v2" }, { "created": "Sat, 1 Jul 2006 08:05:11 GMT", "version": "v3" }, { "created": "Sat, 2 Sep 2006 05:39:38 GMT", "version": "v4" } ]

2008-11-26

[ [ "Sheykhi", "A.", "" ], [ "Riazi", "N.", "" ], [ "Mahzoon", "M. H.", "" ] ]

We construct some classes of electrically charged, static and spherically symmetric black hole solutions of the four-dimensional Einstein-Born-Infeld-dilaton gravity in the absence and presence of Liouville-type potential for the dilaton field and investigate their properties. These solutions are neither asymptotically flat nor (anti)-de Sitter. We show that in the presence of the Liouville-type potential, there exist two classes of solutions. We also compute temperature, entropy, charge and mass of the black hole solutions, and find that these quantities satisfy the first law of thermodynamics. We find that in order to fully satisfy all the field equations consistently, there must be a relation between the electric charge and other parameters of the system..

5.391316

3.955274

4.873834

4.350924

4.339289

4.096688

4.093946

4.141875

4.343334

4.922532

4.43676

4.974631

5.218227

4.916927

4.796062

4.907098

4.808351

4.984078

4.939506

5.127887

4.978042

1606.07148

Massimiliano Ronzani

Mikhail Bershtein, Giulio Bonelli, Massimiliano Ronzani and Alessandro Tanzini

Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants

Talk presented by A.T. at the conference "Interactions between Geometry and Physics", in honor of Ugo Bruzzo's 60th birthday 17-22 August 2015, Guaruj\'a, S\~ao Paulo, Brasil, mostly based on [arXiv:1411.2762] and [arXiv:1509.00267]. 13 pages. Version published in Journal of Geometry and Physics

null

10.1016/j.geomphys.2017.01.012

SISSA 34/2016/MATE-FISI

hep-th math.AG math.RT

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

We show that equivariant Donaldson polynomials of compact toric surfaces can be calculated as residues of suitable combinations of Virasoro conformal blocks, by building on AGT correspondence between N = 2 supersymmetric gauge theories and two-dimensional conformal field theory.

[ { "created": "Thu, 23 Jun 2016 01:06:24 GMT", "version": "v1" }, { "created": "Thu, 9 Mar 2017 14:35:23 GMT", "version": "v2" } ]

2017-06-28

[ [ "Bershtein", "Mikhail", "" ], [ "Bonelli", "Giulio", "" ], [ "Ronzani", "Massimiliano", "" ], [ "Tanzini", "Alessandro", "" ] ]

We show that equivariant Donaldson polynomials of compact toric surfaces can be calculated as residues of suitable combinations of Virasoro conformal blocks, by building on AGT correspondence between N = 2 supersymmetric gauge theories and two-dimensional conformal field theory.

7.62397

7.690145

8.964227

6.802515

6.593177

8.367339

7.230984

7.51008

7.620942

11.444447

6.442333

6.644005

7.59263

6.830526

6.626998

6.422373

6.474549

6.937722

6.91407

8.544689

6.619723

1909.02685

Cheng-Yong Zhang

Peng-Cheng Li, Cheng-Yong Zhang, Bin Chen

The Fate of Instability of de Sitter Black Holes at Large $D$

17 pages, 4 figures, accepted version

null

10.1007/JHEP11(2019)042

null

hep-th

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

We study non-linearly the gravitational instabilities of Reissner-Nordstrom-de Sitter and Gauss-Bonnet-de Sitter black holes by using the large $D$ expansion method. In both cases, the thresholds of the instability are found to be consistent with the linear analysis, and on the thresholds the evolutions of the black holes under perturbations settle down to stationary lumpy solutions. However, the solutions in unstable region are highly time-dependent, and resemble the fully localized black spots and black ring with $S^{D-2}$ and $S^1\times S^{D-3}$ topologies, respectively. Our study indicates the possible transition between the lumpy black holes and localized black holes in higher dimensions.

[ { "created": "Fri, 6 Sep 2019 01:08:06 GMT", "version": "v1" }, { "created": "Wed, 30 Oct 2019 09:34:20 GMT", "version": "v2" } ]

2020-01-08

[ [ "Li", "Peng-Cheng", "" ], [ "Zhang", "Cheng-Yong", "" ], [ "Chen", "Bin", "" ] ]

We study non-linearly the gravitational instabilities of Reissner-Nordstrom-de Sitter and Gauss-Bonnet-de Sitter black holes by using the large $D$ expansion method. In both cases, the thresholds of the instability are found to be consistent with the linear analysis, and on the thresholds the evolutions of the black holes under perturbations settle down to stationary lumpy solutions. However, the solutions in unstable region are highly time-dependent, and resemble the fully localized black spots and black ring with $S^{D-2}$ and $S^1\times S^{D-3}$ topologies, respectively. Our study indicates the possible transition between the lumpy black holes and localized black holes in higher dimensions.

9.292342

9.164891

8.653317

8.00091

10.071491

8.800126

9.344277

9.171899

8.578103

9.548206

8.299579

8.513739

8.662505

8.532349

8.790042

8.553307

8.522415

8.574265

8.569769

8.648714

8.644462

hep-th/0503013

Eldad Bettelheim

E. Bettelheim, I. A. Gruzberg, A. W. W. Ludwig, P. Wiegmann

Stochastic Loewner evolution for conformal field theories with Lie-group symmetries

null

Phys.Rev.Lett. 95 (2005) 251601

10.1103/PhysRevLett.95.251601

null

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

null

The Stochastic Loewner evolution is a recent tool in the study of two-dimensional critical systems. We extend this approach to the case of critical systems with continuous symmetries, such as SU(2) Wess-Zumino-Witten models, where domain walls carry an additional spin 1/2 degree of freedom. We show that the stochastic evolution results in the Knizhnik-Zamolodchikov equation for correlation functions.

[ { "created": "Wed, 2 Mar 2005 00:35:27 GMT", "version": "v1" }, { "created": "Wed, 2 Mar 2005 21:56:11 GMT", "version": "v2" }, { "created": "Thu, 15 Dec 2005 15:59:48 GMT", "version": "v3" } ]

2007-05-23

[ [ "Bettelheim", "E.", "" ], [ "Gruzberg", "I. A.", "" ], [ "Ludwig", "A. W. W.", "" ], [ "Wiegmann", "P.", "" ] ]

The Stochastic Loewner evolution is a recent tool in the study of two-dimensional critical systems. We extend this approach to the case of critical systems with continuous symmetries, such as SU(2) Wess-Zumino-Witten models, where domain walls carry an additional spin 1/2 degree of freedom. We show that the stochastic evolution results in the Knizhnik-Zamolodchikov equation for correlation functions.

6.345823

5.742567

7.912339

5.684894

6.046626

5.747612

6.068221

6.222023

5.656906

7.92388

5.8399

5.672554

6.599649

5.984326

5.88969

5.662158

5.80764

5.93597

6.119883

6.751328

6.108067

2406.02782

Aleksandr Valov

Alexander Gorsky, Sergei Nechaev, and Alexander Valov

KPZ scaling from the Krylov space

32 pages, 15 figures

null

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

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

Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang (KPZ) scaling in late-time correlators and autocorrelators of certain interacting many-body systems has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis. We focus on the Heisenberg time scale, which approximately corresponds to the ramp--plateau transition for the Krylov complexity in systems with a large but finite number degrees of freedom. Two frameworks are under consideration: i) the system with growing Lanczos coefficients and an artificial cut-off, and ii) the system with the finite Hilbert space. In both cases via numerical analysis, we observe the transition from Gaussian to KPZ-like scaling at the critical Euclidean time $t_{E}^*=c_{cr}K$, for the Krylov chain of finite length $K$, and $c_{cr}=O(1)$. In particular, we find a scaling $\sim K^{1/3}$ for fluctuations in the one-point correlation function and a dynamical scaling $\sim K^{-2/3}$ associated with the return probability (Loschmidt echo) corresponding to autocorrelators in physical space. In the first case, the transition is of the 3rd order and can be considered as an example of dynamical quantum phase transition (DQPT), while in the second, it is a crossover. For case ii), utilizing the relationship between the spectrum of tridiagonal matrices at the spectral edge and the spectrum of the stochastic Airy operator, we demonstrate analytically the origin of the KPZ scaling for the particular Krylov chain using the results of the probability theory. We argue that there is some outcome of our study for the double scaling limit of matrix models. For the case of topological gravity, the white noise $O(\frac{1}{N})$ term is identified, which should be taken into account in the controversial issue of ensemble averaging in 2D/1D holography.

[ { "created": "Tue, 4 Jun 2024 20:57:59 GMT", "version": "v1" } ]

2024-06-06

[ [ "Gorsky", "Alexander", "" ], [ "Nechaev", "Sergei", "" ], [ "Valov", "Alexander", "" ] ]

Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang (KPZ) scaling in late-time correlators and autocorrelators of certain interacting many-body systems has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis. We focus on the Heisenberg time scale, which approximately corresponds to the ramp--plateau transition for the Krylov complexity in systems with a large but finite number degrees of freedom. Two frameworks are under consideration: i) the system with growing Lanczos coefficients and an artificial cut-off, and ii) the system with the finite Hilbert space. In both cases via numerical analysis, we observe the transition from Gaussian to KPZ-like scaling at the critical Euclidean time $t_{E}^*=c_{cr}K$, for the Krylov chain of finite length $K$, and $c_{cr}=O(1)$. In particular, we find a scaling $\sim K^{1/3}$ for fluctuations in the one-point correlation function and a dynamical scaling $\sim K^{-2/3}$ associated with the return probability (Loschmidt echo) corresponding to autocorrelators in physical space. In the first case, the transition is of the 3rd order and can be considered as an example of dynamical quantum phase transition (DQPT), while in the second, it is a crossover. For case ii), utilizing the relationship between the spectrum of tridiagonal matrices at the spectral edge and the spectrum of the stochastic Airy operator, we demonstrate analytically the origin of the KPZ scaling for the particular Krylov chain using the results of the probability theory. We argue that there is some outcome of our study for the double scaling limit of matrix models. For the case of topological gravity, the white noise $O(\frac{1}{N})$ term is identified, which should be taken into account in the controversial issue of ensemble averaging in 2D/1D holography.

11.246271

11.245314

11.96114

10.428608

11.299451

11.338079

11.194752

10.927382

10.426641

13.260093

10.496659

10.37793

11.017319

10.475139

10.43557

10.792533

10.721349

10.678986

10.538877

11.296647

10.668823

2007.12398

Jung-Wook Kim

Quantum point particle approximation of spinning black holes and compact stars

PhD. Thesis

null

hep-th gr-qc

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

Gravitational wave observatories targeted for compact binary coalescence, such as LIGO and VIRGO, require various theoretical inputs for their efficient detection. One of such inputs are analytical description of binary dynamics at sufficiently separated orbital scales, commonly known as post-Newtonian dynamics. One approach for determining such two-body effective Hamiltonians is to use quantum scattering amplitudes. This dissertation aims at an improved understanding of classical physics of spinning bodies in quantum scattering amplitudes, for application to the problem of effective two-body Hamiltonians. The main focus will be on spin-induced higher-order multipole moments. In this dissertation results for the first post-Minkowskian order (linear in Newton's constant $G$ and to all orders in relative momentum $p^2$) Hamiltonian that is valid for arbitrary compact spinning bodies to all orders in spin is presented. Next, obstruction and prospects for the formulation's extension to second post-Minkowskian order is discussed, based on an equivalent loop order quantum field theory computations. This dissertation is based on the works [1-4].

[ { "created": "Fri, 24 Jul 2020 08:05:48 GMT", "version": "v1" } ]

2020-07-27

[ [ "Kim", "Jung-Wook", "" ] ]

Gravitational wave observatories targeted for compact binary coalescence, such as LIGO and VIRGO, require various theoretical inputs for their efficient detection. One of such inputs are analytical description of binary dynamics at sufficiently separated orbital scales, commonly known as post-Newtonian dynamics. One approach for determining such two-body effective Hamiltonians is to use quantum scattering amplitudes. This dissertation aims at an improved understanding of classical physics of spinning bodies in quantum scattering amplitudes, for application to the problem of effective two-body Hamiltonians. The main focus will be on spin-induced higher-order multipole moments. In this dissertation results for the first post-Minkowskian order (linear in Newton's constant $G$ and to all orders in relative momentum $p^2$) Hamiltonian that is valid for arbitrary compact spinning bodies to all orders in spin is presented. Next, obstruction and prospects for the formulation's extension to second post-Minkowskian order is discussed, based on an equivalent loop order quantum field theory computations. This dissertation is based on the works [1-4].

11.26468

12.421529

11.129856

10.909588

11.220553

12.105833

11.400451

10.792806

10.492503

11.495902

10.656885

10.827365

11.000463

10.826031

10.845505

10.88078

10.789271

10.641532

10.715571

11.167952

10.781606

1409.5042

G. Alencar

G. Alencar, R. R. Landim, M. O. Tahim and R. N. Costa Filho

Gauge Field Emergence from Kalb-Ramond Localization

Improved version. Some factors corrected and definitions added. The main results continue valid

null

10.1016/j.physletb.2015.01.041

null

hep-th

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

A new mechanism, valid for any smooth version of the Randall-Sundrum model, of getting localized massless vector field on the brane is described here. This is obtained by dimensional reduction of a five dimension massive two form, or Kalb-Ramond field, giving a Kalb-Ramond and an emergent vector field in four dimensions. A geometrical coupling with the Ricci scalar is proposed and the coupling constant is fixed such that the components of the fields are localized. The solution is obtained by decomposing the fields in transversal and longitudinal parts and showing that this give decoupled equations of motion for the transverse vector and KR fields in four dimensions. We also prove some identities satisfied by the transverse components of the fields. With this is possible to fix the coupling constant in a way that a localized zero mode for both components on the brane is obtained. Then, all the above results are generalized to the massive $p-$form field. It is also shown that in general an effective $p$ and $(p-1)-$forms can not be localized on the brane and we have to sort one of them to localize. Therefore, we can not have a vector and a scalar field localized by dimensional reduction of the five dimensional vector field. In fact we find the expression $p=(d-1)/2$ which determines what forms will give rise to both fields localized. For $D=5$, as expected, this is valid only for the KR field.

[ { "created": "Wed, 17 Sep 2014 16:02:11 GMT", "version": "v1" }, { "created": "Mon, 22 Dec 2014 19:13:01 GMT", "version": "v2" } ]

2015-06-22

[ [ "Alencar", "G.", "" ], [ "Landim", "R. R.", "" ], [ "Tahim", "M. O.", "" ], [ "Filho", "R. N. Costa", "" ] ]

A new mechanism, valid for any smooth version of the Randall-Sundrum model, of getting localized massless vector field on the brane is described here. This is obtained by dimensional reduction of a five dimension massive two form, or Kalb-Ramond field, giving a Kalb-Ramond and an emergent vector field in four dimensions. A geometrical coupling with the Ricci scalar is proposed and the coupling constant is fixed such that the components of the fields are localized. The solution is obtained by decomposing the fields in transversal and longitudinal parts and showing that this give decoupled equations of motion for the transverse vector and KR fields in four dimensions. We also prove some identities satisfied by the transverse components of the fields. With this is possible to fix the coupling constant in a way that a localized zero mode for both components on the brane is obtained. Then, all the above results are generalized to the massive $p-$form field. It is also shown that in general an effective $p$ and $(p-1)-$forms can not be localized on the brane and we have to sort one of them to localize. Therefore, we can not have a vector and a scalar field localized by dimensional reduction of the five dimensional vector field. In fact we find the expression $p=(d-1)/2$ which determines what forms will give rise to both fields localized. For $D=5$, as expected, this is valid only for the KR field.

10.412325

10.690724

10.722929

9.998539

10.753574

10.522141

10.167459

10.350815

10.351945

11.554855

10.036686

9.904252

9.989827

9.846869

9.892854

10.191008

10.101851

9.839499

9.79892

10.386856

9.728456

2001.10937

O-Kab Kwon

Dongmin Jang, Yoonbai Kim, O-Kab Kwon, D.D. Tolla

Renormalized Holographic Subregion Complexity under Relevant Perturbations

31 pages, 1 figure, references added

null

10.1007/JHEP07(2020)137

null

hep-th

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

We construct renormalized holographic entanglement entropy (HEE) and subregion complexity (HSC) in the CV conjecture for asymptotically AdS$_4$ and AdS$_5$ geometries under relevant perturbations. Using the holographic renormalization method developed in the gauge/gravity duality, we obtain counter terms which are invariant under coordinate choices. We explicitly define different forms of renormalized HEE and HSC, according to conformal dimensions of relevant operators in the $d=3$ and $d=4$ dual field theories. We use a general embedding for arbitrary entangling subregions and showed that any choice of the coordinate system gives the same form of the counter terms, since they are written in terms of curvature invariants and scalar fields on the boundaries. We show an explicit example of our general procedure. Intriguingly, we find that a divergent term of the HSC in the asymptotically AdS$_5$ geometry under relevant perturbations with operators of conformal dimensions in the range $0< \Delta < \frac{1}{2}\,\, {\rm and} \,\, \frac{7}{2}< \Delta < 4$ cannot be cancelled out by adding any coordinate invariant counter term. This implies that the HSCs in these ranges of the conformal dimensions are not renormalizable covariantly.

[ { "created": "Wed, 29 Jan 2020 16:23:46 GMT", "version": "v1" }, { "created": "Sun, 9 Feb 2020 03:42:01 GMT", "version": "v2" } ]

2020-08-26

[ [ "Jang", "Dongmin", "" ], [ "Kim", "Yoonbai", "" ], [ "Kwon", "O-Kab", "" ], [ "Tolla", "D. D.", "" ] ]

We construct renormalized holographic entanglement entropy (HEE) and subregion complexity (HSC) in the CV conjecture for asymptotically AdS$_4$ and AdS$_5$ geometries under relevant perturbations. Using the holographic renormalization method developed in the gauge/gravity duality, we obtain counter terms which are invariant under coordinate choices. We explicitly define different forms of renormalized HEE and HSC, according to conformal dimensions of relevant operators in the $d=3$ and $d=4$ dual field theories. We use a general embedding for arbitrary entangling subregions and showed that any choice of the coordinate system gives the same form of the counter terms, since they are written in terms of curvature invariants and scalar fields on the boundaries. We show an explicit example of our general procedure. Intriguingly, we find that a divergent term of the HSC in the asymptotically AdS$_5$ geometry under relevant perturbations with operators of conformal dimensions in the range $0< \Delta < \frac{1}{2}\,\, {\rm and} \,\, \frac{7}{2}< \Delta < 4$ cannot be cancelled out by adding any coordinate invariant counter term. This implies that the HSCs in these ranges of the conformal dimensions are not renormalizable covariantly.

6.503545

6.360281

7.337357

6.376506

6.487987

6.479908

6.522105

6.669016

6.250466

7.679211

6.24335

6.429058

6.710812

6.454409

6.316732

6.417195

6.366672

6.397704

6.509227

6.708305

6.413296

1109.2123

Fernando C. Lombardo

C. D. Fosco, F. C. Lombardo, and F. D. Mazzitelli

The proximity force approximation for the Casimir energy as a derivative expansion

Minor changes. Version to appear in Phys. Rev. D

Phys. Rev. D 84, 105031 (2011)

10.1103/PhysRevD.84.105031

null

hep-th quant-ph

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

The proximity force approximation (PFA) has been widely used as a tool to evaluate the Casimir force between smooth objects at small distances. In spite of being intuitively easy to grasp, it is generally believed to be an uncontrolled approximation. Indeed, its validity has only been tested in particular examples, by confronting its predictions with the next to leading order (NTLO) correction extracted from numerical or analytical solutions obtained without using the PFA. In this article we show that the PFA and its NTLO correction may be derived within a single framework, as the first two terms in a derivative expansion. To that effect, we consider the Casimir energy for a vacuum scalar field with Dirichlet conditions on a smooth curved surface described by a function $\psi$ in front of a plane. By regarding the Casimir energy as a functional of $\psi$, we show that the PFA is the leading term in a derivative expansion of this functional. We also obtain the general form of corresponding NTLO correction, which involves two derivatives of $\psi$. We show, by evaluating this correction term for particular geometries, that it properly reproduces the known corrections to PFA obtained from exact evaluations of the energy.

[ { "created": "Fri, 9 Sep 2011 20:09:36 GMT", "version": "v1" }, { "created": "Mon, 7 Nov 2011 13:56:02 GMT", "version": "v2" } ]

2018-07-19

[ [ "Fosco", "C. D.", "" ], [ "Lombardo", "F. C.", "" ], [ "Mazzitelli", "F. D.", "" ] ]

The proximity force approximation (PFA) has been widely used as a tool to evaluate the Casimir force between smooth objects at small distances. In spite of being intuitively easy to grasp, it is generally believed to be an uncontrolled approximation. Indeed, its validity has only been tested in particular examples, by confronting its predictions with the next to leading order (NTLO) correction extracted from numerical or analytical solutions obtained without using the PFA. In this article we show that the PFA and its NTLO correction may be derived within a single framework, as the first two terms in a derivative expansion. To that effect, we consider the Casimir energy for a vacuum scalar field with Dirichlet conditions on a smooth curved surface described by a function $\psi$ in front of a plane. By regarding the Casimir energy as a functional of $\psi$, we show that the PFA is the leading term in a derivative expansion of this functional. We also obtain the general form of corresponding NTLO correction, which involves two derivatives of $\psi$. We show, by evaluating this correction term for particular geometries, that it properly reproduces the known corrections to PFA obtained from exact evaluations of the energy.

7.020656

7.443821

7.175967

6.652245

6.744043

7.061222

7.368722

7.354107

6.730877

8.068693

6.878218

6.655231

7.040611

6.662072

6.567136

6.671933

6.706243

6.301353

6.824207

7.062583

6.848684

1303.7431

Ahmed Jellal

Kamal El Asli, Rachid Houca, Ahmed Jellal

Hall Conductivities for Confined System in Noncommutative Plane

15 pages

null

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

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

We propose an approach based on the generalized quantum mechanics to deal with the basic features of the spin Hall effect. We begin by considering two decoupled harmonic oscillators on the noncommutative plane and determine the solutions of the energy spectrum. We realize two algebras in terms of the quadratic observables and show their importance in filling the shells with fermions. Under some transformation we show that our system is submitted to an effective Lorentz force similar to that acting on one particle in an external magnetic field. From equation of motions, we end up with the charge and spin Hall conductivities as function of the noncommutative parameter \theta. By switching off \theta we recover standard results developed on the subject and in the limit \theta --> 0 we show that our approach can reproduce the Laughin wavefunctions.

[ { "created": "Fri, 29 Mar 2013 16:07:58 GMT", "version": "v1" } ]

2013-04-01

[ [ "Asli", "Kamal El", "" ], [ "Houca", "Rachid", "" ], [ "Jellal", "Ahmed", "" ] ]

We propose an approach based on the generalized quantum mechanics to deal with the basic features of the spin Hall effect. We begin by considering two decoupled harmonic oscillators on the noncommutative plane and determine the solutions of the energy spectrum. We realize two algebras in terms of the quadratic observables and show their importance in filling the shells with fermions. Under some transformation we show that our system is submitted to an effective Lorentz force similar to that acting on one particle in an external magnetic field. From equation of motions, we end up with the charge and spin Hall conductivities as function of the noncommutative parameter \theta. By switching off \theta we recover standard results developed on the subject and in the limit \theta --> 0 we show that our approach can reproduce the Laughin wavefunctions.

14.288641

12.928949

15.663042

13.205235

13.533775

12.609038

12.25394

12.307084

12.205898

17.067028

12.799775

13.577806

13.786747

13.640016

13.118435

13.564369

13.363849

12.936853

13.492166

14.210678

12.941688

hep-th/0009007

Dmitri Diakonov

Dmitri Diakonov (NORDITA and St. Petersburg NPI) and Victor Petrov (St. Petersburg NPI)

Gauge-invariant formulation of the d=3 Yang-Mills theory

7 pages

Phys.Lett. B493 (2000) 169-174

10.1016/S0370-2693(00)01128-X

NORDITA-2000/77 HE

hep-th

null

We write down the Yang-Mills partition function and the average Wilson loop in terms of local gauge-invariant variables being the six components of the metric tensor of dual space. The Wilson loop becomes the trace of the parallel transporter in curved space, else called the gravitational holonomy. We show that the external coordinates mapping the 3d curved space into a flat 6d space play the role of glueball fields, and there is a natural mechanism for the mass gap generation.

[ { "created": "Fri, 1 Sep 2000 14:47:42 GMT", "version": "v1" } ]

2009-10-31

[ [ "Diakonov", "Dmitri", "", "NORDITA and St. Petersburg NPI" ], [ "Petrov", "Victor", "", "St. Petersburg NPI" ] ]

We write down the Yang-Mills partition function and the average Wilson loop in terms of local gauge-invariant variables being the six components of the metric tensor of dual space. The Wilson loop becomes the trace of the parallel transporter in curved space, else called the gravitational holonomy. We show that the external coordinates mapping the 3d curved space into a flat 6d space play the role of glueball fields, and there is a natural mechanism for the mass gap generation.

16.833853

17.917608

17.883244

14.953673

16.663107

15.348999

15.175064

17.200186

14.556216

17.654839

14.141165

16.801346

16.677746

16.566483

17.067228

16.24898

16.424759

16.030853

15.488492

17.303656

16.279699

hep-th/0507262

Jerome Levie

Bernard Julia, Jerome Levie and Sebastien Ray

Gravitational duality near de Sitter space

13 pages, no figure - v2 contains only small redactional changes (one reference added) and is essentially the published version

JHEP 0511 (2005) 025

10.1088/1126-6708/2005/11/025

LPTENS-05/23

hep-th

null

Gravitational instantons ''Lambda-instantons'' are defined here for any given value Lambda of the cosmological constant. A multiple of the Euler characteristic appears as an upper bound for the de Sitter action and as a lower bound for a family of quadratic actions. The de Sitter action itself is found to be equivalent to a simple and natural quadratic action. In this paper we also describe explicitly the reparameterization and duality invariances of gravity (in 4 dimensions) linearized about de Sitter space. A noncovariant doubling of the fields using the Hamiltonian formalism leads to first order time evolution with manifest duality symmetry. As a special case we recover the linear flat space result of Henneaux and Teitelboim by a smooth limiting process.

[ { "created": "Wed, 27 Jul 2005 10:06:42 GMT", "version": "v1" }, { "created": "Tue, 19 Feb 2008 10:25:00 GMT", "version": "v2" } ]

2009-11-11

[ [ "Julia", "Bernard", "" ], [ "Levie", "Jerome", "" ], [ "Ray", "Sebastien", "" ] ]

Gravitational instantons ''Lambda-instantons'' are defined here for any given value Lambda of the cosmological constant. A multiple of the Euler characteristic appears as an upper bound for the de Sitter action and as a lower bound for a family of quadratic actions. The de Sitter action itself is found to be equivalent to a simple and natural quadratic action. In this paper we also describe explicitly the reparameterization and duality invariances of gravity (in 4 dimensions) linearized about de Sitter space. A noncovariant doubling of the fields using the Hamiltonian formalism leads to first order time evolution with manifest duality symmetry. As a special case we recover the linear flat space result of Henneaux and Teitelboim by a smooth limiting process.

15.263988

15.491111

14.940557

13.340596

13.95469

15.07072

14.012007

14.127267

14.247782

15.181285

14.243047

13.851228

13.563765

13.670104

13.414547

14.293503

13.814011

13.552634

13.708689

13.520677

13.371051

hep-th/0209036

Ashok Das

V.S. Alves, Ashok Das and Silvana Perez

Light-front field theories at finite temperature

11 pages, 4 figures, Revtex4

Phys.Rev.D66:125008,2002

10.1103/PhysRevD.66.125008

null

hep-th hep-ph

null

We study the question of generalizing light-front field theories to finite temperature. We show that the naive generalization has serious problems and we identify the source of the difficulty. We provide a proper generalization of these theories to finite temperature based on a relativistic description of thermal field theories, both in the real and the imaginary time formalisms. Various issues associated with scalar and fermion theories, such as non-analyticity of self-energy, tensor decomposition are discussed in detail.

[ { "created": "Wed, 4 Sep 2002 15:24:39 GMT", "version": "v1" } ]

2008-11-26

[ [ "Alves", "V. S.", "" ], [ "Das", "Ashok", "" ], [ "Perez", "Silvana", "" ] ]

We study the question of generalizing light-front field theories to finite temperature. We show that the naive generalization has serious problems and we identify the source of the difficulty. We provide a proper generalization of these theories to finite temperature based on a relativistic description of thermal field theories, both in the real and the imaginary time formalisms. Various issues associated with scalar and fermion theories, such as non-analyticity of self-energy, tensor decomposition are discussed in detail.

10.478204

10.624537

10.058208

9.695323

9.405625

9.250174

9.750794

8.952761

9.140659

9.695943

9.28259

9.926304

10.086092

9.84816

10.152243

9.89201

9.679947

9.988865

9.786872

10.06325

9.866782

1808.07879

Ulf Gran

U. Gran, J. Gutowski, G. Papadopoulos

Classification, geometry and applications of supersymmetric backgrounds

Review, 174 pages. v2: Minor changes, references added

null

10.1016/j.physrep.2018.11.005

DMUS-MP-18-06

hep-th gr-qc math.DG

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

We review the remarkable progress that has been made the last 15 years towards the classification of supersymmetric solutions with emphasis on the description of the bilinears and spinorial geometry methods. We describe in detail the geometry of backgrounds of key supergravity theories, which have applications in the context of black holes, string theory, M-theory and the AdS/CFT correspondence unveiling a plethora of existence and uniqueness theorems. Some other aspects of supersymmetric solutions like the Killing superalgebras and the homogeneity theorem are also presented, and the non-existence theorem for certain smooth supergravity flux compactifications is outlined. Amongst the applications described is the proof of the emergence of conformal symmetry near black hole horizons and the classification of warped AdS backgrounds that preserve more than 16 supersymmetries.

[ { "created": "Thu, 23 Aug 2018 18:00:05 GMT", "version": "v1" }, { "created": "Thu, 22 Nov 2018 15:34:30 GMT", "version": "v2" } ]

2019-03-27

[ [ "Gran", "U.", "" ], [ "Gutowski", "J.", "" ], [ "Papadopoulos", "G.", "" ] ]

We review the remarkable progress that has been made the last 15 years towards the classification of supersymmetric solutions with emphasis on the description of the bilinears and spinorial geometry methods. We describe in detail the geometry of backgrounds of key supergravity theories, which have applications in the context of black holes, string theory, M-theory and the AdS/CFT correspondence unveiling a plethora of existence and uniqueness theorems. Some other aspects of supersymmetric solutions like the Killing superalgebras and the homogeneity theorem are also presented, and the non-existence theorem for certain smooth supergravity flux compactifications is outlined. Amongst the applications described is the proof of the emergence of conformal symmetry near black hole horizons and the classification of warped AdS backgrounds that preserve more than 16 supersymmetries.

9.565969

9.470921

11.183764

9.32269

9.564297

8.882231

9.867406

9.120256

8.944127

10.786455

9.692517

9.201009

10.716368

9.343076

9.42534

9.227528

9.444981

9.193324

9.550714

10.456221

9.09252

hep-th/9903251

R. Parthasarathy

R.Parthasarathy

Infrared region of QCD and confining strings

20 pages; LATEX file

null

IMSc/99/03/11

hep-th

null

Gauge field configurations appropriate for the infrared region of QCD are proposed in a submanifold of $su(3)$. Some properties of the submanifold are presented. Using the usual action for QCD, in the absense of quarks, confinement of these configurations is realized as in the London theory of Meissner effect. Choosing a representation for the monopole field strength, a string action corresponding to the effective gauge theory action in the infrared region, is obtained. This confining string action contains the Nambu-Goto term, extrinsic curvature action and the Euler characteristic of the string world sheet.

[ { "created": "Tue, 30 Mar 1999 11:32:19 GMT", "version": "v1" } ]

2007-05-23

[ [ "Parthasarathy", "R.", "" ] ]

Gauge field configurations appropriate for the infrared region of QCD are proposed in a submanifold of $su(3)$. Some properties of the submanifold are presented. Using the usual action for QCD, in the absense of quarks, confinement of these configurations is realized as in the London theory of Meissner effect. Choosing a representation for the monopole field strength, a string action corresponding to the effective gauge theory action in the infrared region, is obtained. This confining string action contains the Nambu-Goto term, extrinsic curvature action and the Euler characteristic of the string world sheet.

13.667966

10.695573

12.423646

11.468833

11.312869

11.502271

10.906415

11.223197

11.040087

13.474225

10.358779

11.723069

12.921252

12.131539

11.961647

12.102875

12.232767

12.122561

12.143708

12.916445

12.125038

1111.3712

Mark Sorrell

Jan de Gier, Wellington Galleas and Mark Sorrell

Multiple integral formula for the off-shell six vertex scalar product

18 pages, 9 figures

null

hep-th math-ph math.MP

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

We write a multiple integral formula for the partition function of the Z-invariant six vertex model and demonstrate how it can be specialised to compute the norm of Bethe vectors. We also discuss the possibility of computing three-point functions in N= 4 SYM using these integral formul{\ae}.

[ { "created": "Wed, 16 Nov 2011 03:43:52 GMT", "version": "v1" } ]

2011-11-17

[ [ "de Gier", "Jan", "" ], [ "Galleas", "Wellington", "" ], [ "Sorrell", "Mark", "" ] ]

We write a multiple integral formula for the partition function of the Z-invariant six vertex model and demonstrate how it can be specialised to compute the norm of Bethe vectors. We also discuss the possibility of computing three-point functions in N= 4 SYM using these integral formul{\ae}.

15.549972

13.058125

17.768885

11.683647

12.593935

10.991381

11.846055

11.682405

12.204264

17.190622

10.553969

12.091514

14.230875

12.203111

12.431149

12.464952

12.110093

12.261584

12.478187

13.591041

11.883486

1310.8250

Vitor Emanuel Rodino Lemes

M. M. Amaral, Y. E. Chifarelli, V. E. R. Lemes

N=1 Gribov superfield extension

11 pages, no figures

J. Phys. A: Math. Theor. 47 (2014) 075401

10.1088/1751-8113/47/7/075401

null

hep-th math-ph math.MP

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

We propose a mechanism displaying confinement, as defined by the behavior of the propagators, for 4 dimensional, N = 1 supersymmetric Yang-Mills theory in superfield formalism. In this work we intend to verify the possibility of extending the known Gribov problem of quantization of Yang-Mills theories and the implementation of a local action with auxiliary superfields like Gribov-Zwanziger approach to this problem.

[ { "created": "Wed, 30 Oct 2013 18:09:42 GMT", "version": "v1" }, { "created": "Mon, 8 Dec 2014 19:07:56 GMT", "version": "v2" } ]

2015-06-17

[ [ "Amaral", "M. M.", "" ], [ "Chifarelli", "Y. E.", "" ], [ "Lemes", "V. E. R.", "" ] ]

We propose a mechanism displaying confinement, as defined by the behavior of the propagators, for 4 dimensional, N = 1 supersymmetric Yang-Mills theory in superfield formalism. In this work we intend to verify the possibility of extending the known Gribov problem of quantization of Yang-Mills theories and the implementation of a local action with auxiliary superfields like Gribov-Zwanziger approach to this problem.

14.946749

12.39108

17.692614

13.006631

12.683652

13.08001

13.494662

11.80691

11.957057

17.899221

12.023519

13.159033

15.226364

13.227703

13.351669

13.37084

12.788647

12.528611

13.114855

15.654623

13.158801

hep-th/0307013

Emanuele Berti

Emanuele Berti, Vitor Cardoso, Kostas D. Kokkotas, Hisashi Onozawa

Highly damped quasinormal modes of Kerr black holes

19 pages, 11 figures. Minor typos corrected. Updated references to take into account some recent developments

Phys.Rev. D68 (2003) 124018

10.1103/PhysRevD.68.124018

null

hep-th astro-ph gr-qc

null

Motivated by recent suggestions that highly damped black hole quasinormal modes (QNM's) may provide a link between classical general relativity and quantum gravity, we present an extensive computation of highly damped QNM's of Kerr black holes. We do not limit our attention to gravitational modes, thus filling some gaps in the existing literature. The frequency of gravitational modes with l=m=2 tends to \omega_R=2 \Omega, \Omega being the angular velocity of the black hole horizon. If Hod's conjecture is valid, this asymptotic behaviour is related to reversible black hole transformations. Other highly damped modes with m>0 that we computed do not show a similar behaviour. The real part of modes with l=2 and m<0 seems to asymptotically approach a constant value \omega_R\simeq -m\varpi, \varpi\simeq 0.12 being (almost) independent of a. For any perturbing field, trajectories in the complex plane of QNM's with m=0 show a spiralling behaviour, similar to the one observed for Reissner-Nordstrom (RN) black holes. Finally, for any perturbing field, the asymptotic separation in the imaginary part of consecutive modes with m>0 is given by 2\pi T_H (T_H being the black hole temperature). We conjecture that for all values of l and m>0 there is an infinity of modes tending to the critical frequency for superradiance (\omega_R=m) in the extremal limit. Finally, we study in some detail modes branching off the so--called ``algebraically special frequency'' of Schwarzschild black holes. For the first time we find numerically that QNM multiplets emerge from the algebraically special Schwarzschild modes, confirming a recent speculation.

[ { "created": "Tue, 1 Jul 2003 18:46:17 GMT", "version": "v1" }, { "created": "Thu, 9 Oct 2003 15:10:15 GMT", "version": "v2" } ]

2009-11-10

[ [ "Berti", "Emanuele", "" ], [ "Cardoso", "Vitor", "" ], [ "Kokkotas", "Kostas D.", "" ], [ "Onozawa", "Hisashi", "" ] ]

Motivated by recent suggestions that highly damped black hole quasinormal modes (QNM's) may provide a link between classical general relativity and quantum gravity, we present an extensive computation of highly damped QNM's of Kerr black holes. We do not limit our attention to gravitational modes, thus filling some gaps in the existing literature. The frequency of gravitational modes with l=m=2 tends to \omega_R=2 \Omega, \Omega being the angular velocity of the black hole horizon. If Hod's conjecture is valid, this asymptotic behaviour is related to reversible black hole transformations. Other highly damped modes with m>0 that we computed do not show a similar behaviour. The real part of modes with l=2 and m<0 seems to asymptotically approach a constant value \omega_R\simeq -m\varpi, \varpi\simeq 0.12 being (almost) independent of a. For any perturbing field, trajectories in the complex plane of QNM's with m=0 show a spiralling behaviour, similar to the one observed for Reissner-Nordstrom (RN) black holes. Finally, for any perturbing field, the asymptotic separation in the imaginary part of consecutive modes with m>0 is given by 2\pi T_H (T_H being the black hole temperature). We conjecture that for all values of l and m>0 there is an infinity of modes tending to the critical frequency for superradiance (\omega_R=m) in the extremal limit. Finally, we study in some detail modes branching off the so--called ``algebraically special frequency'' of Schwarzschild black holes. For the first time we find numerically that QNM multiplets emerge from the algebraically special Schwarzschild modes, confirming a recent speculation.

7.784535

8.808784

7.654733

7.574811

8.709294

7.872883

8.77569

8.258404

7.989017

8.843755

8.02634

7.834873

7.602415

7.419561

7.805469

7.679515

7.837984

7.652153

7.810608

7.894253

7.801947

1406.2417

Kazuharu Bamba

Kazuharu Bamba, Shin'ichi Nojiri and Sergei D. Odintsov

Reconstruction of scalar field theories realizing inflation consistent with the Planck and BICEP2 results

7 pages, no figure, version accepted for publication in Physics Letters B

Physics Letters B 737 (2014) 374-378

10.1016/j.physletb.2014.09.014

OCHA-PP-323

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

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

We reconstruct scalar field theories to realize inflation compatible with the BICEP2 result as well as the Planck. In particular, we examine the chaotic inflation model, natural (or axion) inflation model, and an inflationary model with a hyperbolic inflaton potential. We perform an explicit approach to find out a scalar field model of inflation in which any observations can be explained in principle.

[ { "created": "Tue, 10 Jun 2014 04:24:15 GMT", "version": "v1" }, { "created": "Thu, 4 Sep 2014 10:20:48 GMT", "version": "v2" } ]

2014-09-22

[ [ "Bamba", "Kazuharu", "" ], [ "Nojiri", "Shin'ichi", "" ], [ "Odintsov", "Sergei D.", "" ] ]

We reconstruct scalar field theories to realize inflation compatible with the BICEP2 result as well as the Planck. In particular, we examine the chaotic inflation model, natural (or axion) inflation model, and an inflationary model with a hyperbolic inflaton potential. We perform an explicit approach to find out a scalar field model of inflation in which any observations can be explained in principle.

13.101469

13.686014

11.662803

11.951823

11.297853

12.362035

14.024864

11.159906

13.415213

13.783273

11.867132

13.007979

12.619567

12.64514

12.359816

12.232814

13.181056

12.339882

13.27159

12.873471

13.017436

1403.3416

Junjie Rao

Robert C. Myers, Junjie Rao, Sotaro Sugishita

Holographic Holes in Higher Dimensions

46 pages, 17 figures, 1 appendix

JHEP 1406 (2014) 044

10.1007/JHEP06(2014)044

null

hep-th

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

We extend the holographic construction from AdS3 to higher dimensions. In particular, we show that the Bekenstein-Hawking entropy of codimension-two surfaces in the bulk with planar symmetry can be evaluated in terms of the 'differential entropy' in the boundary theory. The differential entropy is a certain quantity constructed from the entanglement entropies associated with a family of regions covering a Cauchy surface in the boundary geometry. We demonstrate that a similar construction based on causal holographic information fails in higher dimensions, as it typically yields divergent results. We also show that our construction extends to holographic backgrounds other than AdS spacetime and can accommodate Lovelock theories of higher curvature gravity.

[ { "created": "Thu, 13 Mar 2014 20:08:19 GMT", "version": "v1" }, { "created": "Fri, 25 Jul 2014 10:47:56 GMT", "version": "v2" } ]

2014-10-20

[ [ "Myers", "Robert C.", "" ], [ "Rao", "Junjie", "" ], [ "Sugishita", "Sotaro", "" ] ]

We extend the holographic construction from AdS3 to higher dimensions. In particular, we show that the Bekenstein-Hawking entropy of codimension-two surfaces in the bulk with planar symmetry can be evaluated in terms of the 'differential entropy' in the boundary theory. The differential entropy is a certain quantity constructed from the entanglement entropies associated with a family of regions covering a Cauchy surface in the boundary geometry. We demonstrate that a similar construction based on causal holographic information fails in higher dimensions, as it typically yields divergent results. We also show that our construction extends to holographic backgrounds other than AdS spacetime and can accommodate Lovelock theories of higher curvature gravity.

7.686602

7.903446

8.983886

7.290499

8.015349

8.055323

8.26867

7.808832

7.550496

9.616194

7.574421

7.691825

7.908813

7.576614

7.541173

7.551301

7.702924

7.577479

7.549531

7.71198

7.406641

1311.7581

Parinya Karndumri

Deformations of large N=(4,4) 2D SCFT from 3D gauged supergravity

32 pages, 4 figures, typos corrected and some changes in the presentation

JHEP 05 (2014) 087

10.1007/JHEP05(2014)087

null

hep-th

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

Supersymmetric and non-supersymmetric deformations of large $N=(4,4)$ SCFT with superconformal symmetry $D^1(2,1;\alpha)\times D^1(2,1;\alpha)$ are explored in the gravity dual described by a Chern-Simons $N=8$, $(SO(4)\times SO(4))\ltimes \mathbf{T}^{12}$ gauged supergravity in three dimensions. For $\alpha>0$, the gauged supergravity describes an effective theory of the maximal supergravity in nine dimensions on $AdS_3\times S^3\times S^3$ with the parameter $\alpha$ being the ratio of the two $S^3$ radii. We consider the scalar manifold of the supergravity theory of the form $SO(8,8)/SO(8)\times SO(8)$ and find a number of stable non-supersymmetric $AdS_3$ critical points for some values of $\alpha$. These correspond to non-supersymmetric IR fixed points of the UV $N=(4,4)$ SCFT dual to the maximally supersymmetric critical point. We study the associated RG flow solutions interpolating between these fixed points and the UV $N=(4,4)$ SCFT. Possible supersymmetric flows to non-conformal field theories are also investigated. Additionally, a half-supersymmetric domain wall within this gauged supergravity is obtained.

[ { "created": "Fri, 29 Nov 2013 14:38:16 GMT", "version": "v1" }, { "created": "Tue, 20 May 2014 04:58:18 GMT", "version": "v2" } ]

2014-05-22

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

Supersymmetric and non-supersymmetric deformations of large $N=(4,4)$ SCFT with superconformal symmetry $D^1(2,1;\alpha)\times D^1(2,1;\alpha)$ are explored in the gravity dual described by a Chern-Simons $N=8$, $(SO(4)\times SO(4))\ltimes \mathbf{T}^{12}$ gauged supergravity in three dimensions. For $\alpha>0$, the gauged supergravity describes an effective theory of the maximal supergravity in nine dimensions on $AdS_3\times S^3\times S^3$ with the parameter $\alpha$ being the ratio of the two $S^3$ radii. We consider the scalar manifold of the supergravity theory of the form $SO(8,8)/SO(8)\times SO(8)$ and find a number of stable non-supersymmetric $AdS_3$ critical points for some values of $\alpha$. These correspond to non-supersymmetric IR fixed points of the UV $N=(4,4)$ SCFT dual to the maximally supersymmetric critical point. We study the associated RG flow solutions interpolating between these fixed points and the UV $N=(4,4)$ SCFT. Possible supersymmetric flows to non-conformal field theories are also investigated. Additionally, a half-supersymmetric domain wall within this gauged supergravity is obtained.

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0905.1962

Mariam Bouhmadi-Lopez

Self-accelerating the normal DGP branch

9 pages, 2 figures, RevTeX 4. References added. Version to appear in JCAP

JCAP 0911:011,2009

10.1088/1475-7516/2009/11/011

null

hep-th

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

We propose a generalised induced gravity brane-world model where the brane action contains an arbitrary f(R) term, R being the scalar curvature of the brane. We show that the effect of the f(R)term on the dynamics of a homogeneous and isotropic brane is twofold: (i) an evolving induced gravity parameter and (ii) a shift on the energy density of the brane. This new shift term, which is absent on the Dvali, Gabadadze and Porrati (DGP) model, plays a crucial role to self-accelerate the generalised normal DGP branch of our model. We analyse as well the stability of de Sitter self-accelerating solutions under homogeneous perturbations and compare our results with the standard 4-dimensional one. Finally, we obtain power law solutions which either correspond to conventional acceleration or super-acceleration of the brane. In the latter case, no phantom matter is invoked on the brane nor in the bulk.

[ { "created": "Tue, 12 May 2009 20:27:27 GMT", "version": "v1" }, { "created": "Wed, 28 Oct 2009 16:03:17 GMT", "version": "v2" } ]

2009-11-18

[ [ "Bouhmadi-Lopez", "Mariam", "" ] ]

We propose a generalised induced gravity brane-world model where the brane action contains an arbitrary f(R) term, R being the scalar curvature of the brane. We show that the effect of the f(R)term on the dynamics of a homogeneous and isotropic brane is twofold: (i) an evolving induced gravity parameter and (ii) a shift on the energy density of the brane. This new shift term, which is absent on the Dvali, Gabadadze and Porrati (DGP) model, plays a crucial role to self-accelerate the generalised normal DGP branch of our model. We analyse as well the stability of de Sitter self-accelerating solutions under homogeneous perturbations and compare our results with the standard 4-dimensional one. Finally, we obtain power law solutions which either correspond to conventional acceleration or super-acceleration of the brane. In the latter case, no phantom matter is invoked on the brane nor in the bulk.

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2112.00802

Mao Tian Tan

Kanato Goto, Ali Mollabashi, Masahiro Nozaki, Kotaro Tamaoka and Mao Tian Tan

Information Scrambling Versus Quantum Revival Through the Lens of Operator Entanglement

null

J. High Energ. Phys. 2022, 100 (2022)

10.1007/JHEP06(2022)100

RIKEN-iTHEMS-Report-21

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

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

In this paper, we look for signatures of quantum revivals in two-dimensional conformal field theories (2d CFTs) on a spatially compact manifold by using operator entanglement. It is believed that thermalization does not occur on spatially compact manifolds as the quantum state returns to its initial state which is a phenomenon known as quantum revival. We find that in CFTs such as the free fermion CFT, the operator mutual information exhibits quantum revival in accordance with the relativistic propagation of quasiparticles while in holographic CFTs, the operator mutual information does not exhibit this revival and the quasiparticle picture breaks down. Furthermore, by computing the tripartite operator mutual information, we find that the information scrambling ability of holographic CFTs can be weakened by the finite size effect. We propose a modification of an effective model known as the line tension picture to explain the entanglement dynamics due to the strong scrambling effect and find a close relationship between this model and the wormhole (Einstein-Rosen Bridge) in the holographic bulk dual.

[ { "created": "Wed, 1 Dec 2021 19:48:44 GMT", "version": "v1" } ]

2022-06-22

[ [ "Goto", "Kanato", "" ], [ "Mollabashi", "Ali", "" ], [ "Nozaki", "Masahiro", "" ], [ "Tamaoka", "Kotaro", "" ], [ "Tan", "Mao Tian", "" ] ]

In this paper, we look for signatures of quantum revivals in two-dimensional conformal field theories (2d CFTs) on a spatially compact manifold by using operator entanglement. It is believed that thermalization does not occur on spatially compact manifolds as the quantum state returns to its initial state which is a phenomenon known as quantum revival. We find that in CFTs such as the free fermion CFT, the operator mutual information exhibits quantum revival in accordance with the relativistic propagation of quasiparticles while in holographic CFTs, the operator mutual information does not exhibit this revival and the quasiparticle picture breaks down. Furthermore, by computing the tripartite operator mutual information, we find that the information scrambling ability of holographic CFTs can be weakened by the finite size effect. We propose a modification of an effective model known as the line tension picture to explain the entanglement dynamics due to the strong scrambling effect and find a close relationship between this model and the wormhole (Einstein-Rosen Bridge) in the holographic bulk dual.

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