LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

2112.01211

John Rizos

Ignatios Antoniadis, Dimitri V. Nanopoulos, John Rizos

Particle physics and cosmology of the string derived no-scale flipped $SU(5)$

47 pages, no figures. v2: published version, few minor changes

null

10.1140/epjc/s10052-022-10353-6

ACT-05-21, MI-HET-768

hep-th hep-ph

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

In a recent paper, we identified a cosmological sector of a flipped $SU(5)$ model derived in the free fermionic formulation of the heterotic superstring, containing the inflaton and the goldstino superfields with a superpotential leading to Starobinsky type inflation, while $SU(5){\times}U(1)$ is still unbroken. Here, we study the properties and phenomenology of the vacuum after the end of inflation, where the gauge group is broken to the Standard Model. We identify a set of vacuum expectation values, triggered by the breaking of an anomalous $U(1)_A$ gauge symmetry at roughly an order of magnitude below the string scale, that solve the F and D-flatness supersymmetric conditions up to 6th order in the superpotential which is explicitly computed, leading to a successful particle phenomenology. In particular, all extra colour triplets become superheavy guaranteeing observable proton stability, while the Higgs doublet mass matrix has a massless pair eigenstate with realistic hierarchical Yukawa couplings to quarks and leptons. The supersymmetry breaking scale is constrained to be high, consistent with the non observation of supersymmetric signals at the LHC.

[ { "created": "Thu, 2 Dec 2021 13:25:53 GMT", "version": "v1" }, { "created": "Sun, 23 Oct 2022 19:05:13 GMT", "version": "v2" } ]

2022-10-25

[ [ "Antoniadis", "Ignatios", "" ], [ "Nanopoulos", "Dimitri V.", "" ], [ "Rizos", "John", "" ] ]

In a recent paper, we identified a cosmological sector of a flipped $SU(5)$ model derived in the free fermionic formulation of the heterotic superstring, containing the inflaton and the goldstino superfields with a superpotential leading to Starobinsky type inflation, while $SU(5){\times}U(1)$ is still unbroken. Here, we study the properties and phenomenology of the vacuum after the end of inflation, where the gauge group is broken to the Standard Model. We identify a set of vacuum expectation values, triggered by the breaking of an anomalous $U(1)_A$ gauge symmetry at roughly an order of magnitude below the string scale, that solve the F and D-flatness supersymmetric conditions up to 6th order in the superpotential which is explicitly computed, leading to a successful particle phenomenology. In particular, all extra colour triplets become superheavy guaranteeing observable proton stability, while the Higgs doublet mass matrix has a massless pair eigenstate with realistic hierarchical Yukawa couplings to quarks and leptons. The supersymmetry breaking scale is constrained to be high, consistent with the non observation of supersymmetric signals at the LHC.

7.969792

8.300584

8.068724

7.444925

7.95224

8.607051

7.776649

8.28151

7.613736

7.992432

7.6506

7.678737

7.732685

7.576491

7.904179

8.023238

7.535103

7.67019

7.499493

7.810972

7.666731

hep-th/9212114

Marek Karliner

Marek Karliner, Alexander Migdal and Boris Rusakov

Ground State of 2D Quantum Gravity and Spectral Density of Random Matrices

14 pages (LaTeX) + 4 postscript figures encoded through uufiles. PUPT-1354, TAUP-2013-92

Nucl.Phys.B399:514-526,1993

10.1016/0550-3213(93)90507-L

null

hep-th hep-lat

null

We compute the exact spectral density of random matrices in the ground state of the quantum hamiltonian corresponding to the matrix model whose double scaling limit describes pure gravity in 2D. We show that the non-perturbative effects are very large and in certain cases dominate the semi-classical WKB contribution studied in the earlier literature. The physical observables in this model are the loop averages with respect to the spectral density. We compute their exact ground-state expectation values and show that they differ significantly from the values obtained in the WKB approximation. Unlike the alternative regularizations of the nonperturbative 2D quantum gravity, based on analytic continuation of the Painlev\'e transcendent, our solution shows no pathologies.

[ { "created": "Fri, 18 Dec 1992 16:04:00 GMT", "version": "v1" } ]

2010-11-01

[ [ "Karliner", "Marek", "" ], [ "Migdal", "Alexander", "" ], [ "Rusakov", "Boris", "" ] ]

We compute the exact spectral density of random matrices in the ground state of the quantum hamiltonian corresponding to the matrix model whose double scaling limit describes pure gravity in 2D. We show that the non-perturbative effects are very large and in certain cases dominate the semi-classical WKB contribution studied in the earlier literature. The physical observables in this model are the loop averages with respect to the spectral density. We compute their exact ground-state expectation values and show that they differ significantly from the values obtained in the WKB approximation. Unlike the alternative regularizations of the nonperturbative 2D quantum gravity, based on analytic continuation of the Painlev\'e transcendent, our solution shows no pathologies.

11.121074

10.276623

11.103129

10.697185

11.556926

12.450241

11.158711

11.358453

10.301058

12.377227

10.317108

10.309171

10.574838

10.298275

10.359201

10.633959

10.302183

10.553952

10.677501

10.71634

10.144378

hep-th/0409233

Rajesh Gopakumar

Rajesh Gopakumar (HRI, Allahabad)

Free Field Theory as a String Theory?

10 pages, 1 figure, Contribution to Strings 2004 (Paris) proceedings

Comptes Rendus Physique 5 (2004) 1111-1119

10.1016/j.crhy.2004.10.004

null

hep-th

null

An approach to systematically implement open-closed string duality for free large $N$ gauge theories is summarised. We show how the relevant closed string moduli space emerges from a reorganisation of the Feynman diagrams contributing to free field correlators. We also indicate why the resulting integrand on moduli space has the right features to be that of a string theory on $AdS$.

[ { "created": "Thu, 23 Sep 2004 12:09:35 GMT", "version": "v1" } ]

2009-11-10

[ [ "Gopakumar", "Rajesh", "", "HRI, Allahabad" ] ]

An approach to systematically implement open-closed string duality for free large $N$ gauge theories is summarised. We show how the relevant closed string moduli space emerges from a reorganisation of the Feynman diagrams contributing to free field correlators. We also indicate why the resulting integrand on moduli space has the right features to be that of a string theory on $AdS$.

13.044066

10.634795

12.471927

10.026395

10.543113

10.002533

10.685095

10.18597

10.650825

10.759322

10.375585

10.468298

12.017797

10.927821

11.359996

10.848528

10.719322

11.019919

10.808797

11.566467

11.257137

hep-th/0508050

Igor Kriz

Po Hu, Igor Kriz

A mathematical formalism for the Kondo effect in WZW branes

Added explanations of the settings and main results

J.Math.Phys.48:072301,2007

10.1063/1.2746133

null

hep-th

null

In this paper, we show how to adapt our rigorous mathematical formalism for closed/open conformal field theory so that it captures the known physical theory of branes in the WZW model. This includes a mathematically precise approach to the Kondo effect, which is an example of evolution of one conformally invariant boundary condition into another through boundary conditions which can break conformal invariance, and a proposed mathematical statement of the Kondo effect conjecture. We also review some of the known physical results on WZW boundary conditions from a mathematical perspective.

[ { "created": "Mon, 8 Aug 2005 01:20:53 GMT", "version": "v1" }, { "created": "Mon, 15 Aug 2005 14:57:35 GMT", "version": "v2" }, { "created": "Mon, 20 Mar 2006 03:55:48 GMT", "version": "v3" }, { "created": "Sun, 27 Aug 2006 15:12:02 GMT", "version": "v4" } ]

2008-11-26

[ [ "Hu", "Po", "" ], [ "Kriz", "Igor", "" ] ]

In this paper, we show how to adapt our rigorous mathematical formalism for closed/open conformal field theory so that it captures the known physical theory of branes in the WZW model. This includes a mathematically precise approach to the Kondo effect, which is an example of evolution of one conformally invariant boundary condition into another through boundary conditions which can break conformal invariance, and a proposed mathematical statement of the Kondo effect conjecture. We also review some of the known physical results on WZW boundary conditions from a mathematical perspective.

13.558756

11.762209

15.835312

13.084156

14.185316

13.367771

13.484521

14.057299

12.67227

15.381512

12.985552

12.815635

14.908097

12.982224

12.754589

13.889602

13.098663

12.940056

12.656384

14.900624

12.53019

2108.10304

Remigiusz Durka

Remigiusz Durka, Krzysztof M. Graczyk

Resonant superalgebras for supergravity

v2 (improved version prepared for publication), references added, 17 pages, additional supplement file

null

10.1140/epjc/s10052-022-10156-9

null

hep-th

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

Considering supergravity theory is a natural step in the development of gravity models. This paper follows the ``algebraic`` path and constructs possible extensions of the Poincar\'e and Anti-de-Sitter algebras, which inherit their basic commutation structure. Previously achieved results of this type are fragmentary and show only a limited fraction of possible algebraic realizations. Our paper presents the newly obtained symmetry algebras, evaluated within an efficient pattern-based computational method of generating the so-called 'resonating' algebraic structures. These supersymmetric extensions of algebras, going beyond the Poincar\'e and Anti-de Sitter ones, contain additional bosonic generators $Z_{ab}$ (Lorentz-like), and $U_a$ (translational-like) added to the standard Lorentz generator $J_{ab}$ and translation generator $P_{a}$. Our analysis includes all cases up to two fermionic supercharges, $Q_{\alpha}$ and $Y_{\alpha}$. The delivered plethora of superalgebras includes few past results and offers a vastness of new examples. The list of the cases is complete and contains all superalgebras up to two of Lorentz-like, translation-like, and supercharge-like generators $(JP+Q)+(ZU+Y)=JPZU+QY$. In the latter class, among $667$ founded superalgebras, the $264$ are suitable for direct supergravity construction. For each of them, one can construct a unique supergravity model defined by the Lagrangian. As an example, we consider one of the algebra configurations and provide its Lagrangian realization.

[ { "created": "Mon, 23 Aug 2021 17:43:19 GMT", "version": "v1" }, { "created": "Wed, 3 Nov 2021 14:17:32 GMT", "version": "v2" } ]

2022-04-13

[ [ "Durka", "Remigiusz", "" ], [ "Graczyk", "Krzysztof M.", "" ] ]

Considering supergravity theory is a natural step in the development of gravity models. This paper follows the ``algebraic`` path and constructs possible extensions of the Poincar\'e and Anti-de-Sitter algebras, which inherit their basic commutation structure. Previously achieved results of this type are fragmentary and show only a limited fraction of possible algebraic realizations. Our paper presents the newly obtained symmetry algebras, evaluated within an efficient pattern-based computational method of generating the so-called 'resonating' algebraic structures. These supersymmetric extensions of algebras, going beyond the Poincar\'e and Anti-de Sitter ones, contain additional bosonic generators $Z_{ab}$ (Lorentz-like), and $U_a$ (translational-like) added to the standard Lorentz generator $J_{ab}$ and translation generator $P_{a}$. Our analysis includes all cases up to two fermionic supercharges, $Q_{\alpha}$ and $Y_{\alpha}$. The delivered plethora of superalgebras includes few past results and offers a vastness of new examples. The list of the cases is complete and contains all superalgebras up to two of Lorentz-like, translation-like, and supercharge-like generators $(JP+Q)+(ZU+Y)=JPZU+QY$. In the latter class, among $667$ founded superalgebras, the $264$ are suitable for direct supergravity construction. For each of them, one can construct a unique supergravity model defined by the Lagrangian. As an example, we consider one of the algebra configurations and provide its Lagrangian realization.

13.776508

14.984984

14.973431

14.243597

15.082258

14.432867

14.827034

14.05438

14.140416

15.778634

13.295162

13.706215

13.606603

13.273081

13.816494

13.76129

13.34127

13.452339

13.335807

14.098533

13.272815

0806.4265

Antonio J. Segui

Adil Belhaj, Luis J. Boya and Antonio Segui

Relation Between Holonomy Groups in Superstrings, M and F-theories

17 pages

null

hep-th math-ph math.MP

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

We consider manifolds with special holonomy groups SU(3), G2 and Spin(7) as suitable for compactification of superstrings, M-theory and F-theory (with only one time) respectively. The relations of these groups with the octonions are discussed, reinforcing their role in the physics of string theory and duality. We also exhibit three triple exact sequences explaining the connections between the mentioned special holonomy groups.

[ { "created": "Thu, 26 Jun 2008 09:08:06 GMT", "version": "v1" } ]

2008-06-27

[ [ "Belhaj", "Adil", "" ], [ "Boya", "Luis J.", "" ], [ "Segui", "Antonio", "" ] ]

We consider manifolds with special holonomy groups SU(3), G2 and Spin(7) as suitable for compactification of superstrings, M-theory and F-theory (with only one time) respectively. The relations of these groups with the octonions are discussed, reinforcing their role in the physics of string theory and duality. We also exhibit three triple exact sequences explaining the connections between the mentioned special holonomy groups.

13.693897

12.296925

12.87826

11.572681

10.714148

13.336557

12.080297

11.340663

12.345579

13.173579

12.634761

12.702194

13.428861

12.435334

13.146564

13.095848

12.960508

12.275806

12.875767

12.823784

12.599166

1510.07038

Steven Avery

Steven G. Avery and Burkhard U. W. Schwab

Noether's Second Theorem and Ward Identities for Gauge Symmetries

24 pages, 3 figures. v2: references added, minor typos corrected

null

10.1007/JHEP02(2016)031

Brown-HET-1687

hep-th

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

Recently, a number of new Ward identities for large gauge transformations and large diffeomorphisms have been discovered. Some of the identities are reinterpretations of previously known statements, while some appear to be genuinely new. We use Noether's second theorem with the path integral as a powerful way of generating these kinds of Ward identities. We reintroduce Noether's second theorem and discuss how to work with the physical remnant of gauge symmetry in gauge fixed systems. We illustrate our mechanism in Maxwell theory, Yang-Mills theory, p-form field theory, and Einstein-Hilbert gravity. We comment on multiple connections between Noether's second theorem and known results in the recent literature. Our approach suggests a novel point of view with important physical consequences.

[ { "created": "Fri, 23 Oct 2015 20:01:21 GMT", "version": "v1" }, { "created": "Tue, 10 Nov 2015 18:53:50 GMT", "version": "v2" } ]

2016-03-23

[ [ "Avery", "Steven G.", "" ], [ "Schwab", "Burkhard U. W.", "" ] ]

Recently, a number of new Ward identities for large gauge transformations and large diffeomorphisms have been discovered. Some of the identities are reinterpretations of previously known statements, while some appear to be genuinely new. We use Noether's second theorem with the path integral as a powerful way of generating these kinds of Ward identities. We reintroduce Noether's second theorem and discuss how to work with the physical remnant of gauge symmetry in gauge fixed systems. We illustrate our mechanism in Maxwell theory, Yang-Mills theory, p-form field theory, and Einstein-Hilbert gravity. We comment on multiple connections between Noether's second theorem and known results in the recent literature. Our approach suggests a novel point of view with important physical consequences.

10.824963

10.479118

10.898786

10.123101

10.408133

10.69067

10.789325

10.307315

10.611582

11.450026

10.632811

10.126691

10.6878

10.244373

9.952332

10.013631

9.726544

9.8505

10.08653

10.539466

10.215286

1601.06086

Sanjaye Ramgoolam

Paolo Mattioli and Sanjaye Ramgoolam

Permutation Centralizer Algebras and Multi-Matrix Invariants

45 pages, 5 figures

Phys. Rev. D 93, 065040 (2016)

10.1103/PhysRevD.93.065040

QMUL-PH-15-25

hep-th math.GR math.RT

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

We introduce a class of permutation centralizer algebras which underly the combinatorics of multi-matrix gauge invariant observables. One family of such non-commutative algebras is parametrised by two integers. Its Wedderburn-Artin decomposition explains the counting of restricted Schur operators, which were introduced in the physics literature to describe open strings attached to giant gravitons and were subsequently used to diagonalize the Gaussian inner product for gauge invariants of 2-matrix models. The structure of the algebra, notably its dimension, its centre and its maximally commuting sub-algebra, is related to Littlewood-Richardson numbers for composing Young diagrams. It gives a precise characterization of the minimal set of charges needed to distinguish arbitrary matrix gauge invariants, which are related to enhanced symmetries in gauge theory. The algebra also gives a star product for matrix invariants. The centre of the algebra allows efficient computation of a sector of multi-matrix correlators. These generate the counting of a certain class of bi-coloured ribbon graphs with arbitrary genus.

[ { "created": "Fri, 22 Jan 2016 17:54:10 GMT", "version": "v1" } ]

2016-03-30

[ [ "Mattioli", "Paolo", "" ], [ "Ramgoolam", "Sanjaye", "" ] ]

We introduce a class of permutation centralizer algebras which underly the combinatorics of multi-matrix gauge invariant observables. One family of such non-commutative algebras is parametrised by two integers. Its Wedderburn-Artin decomposition explains the counting of restricted Schur operators, which were introduced in the physics literature to describe open strings attached to giant gravitons and were subsequently used to diagonalize the Gaussian inner product for gauge invariants of 2-matrix models. The structure of the algebra, notably its dimension, its centre and its maximally commuting sub-algebra, is related to Littlewood-Richardson numbers for composing Young diagrams. It gives a precise characterization of the minimal set of charges needed to distinguish arbitrary matrix gauge invariants, which are related to enhanced symmetries in gauge theory. The algebra also gives a star product for matrix invariants. The centre of the algebra allows efficient computation of a sector of multi-matrix correlators. These generate the counting of a certain class of bi-coloured ribbon graphs with arbitrary genus.

11.196756

10.942426

13.489702

11.450356

12.184548

12.845571

12.064083

10.949634

11.097192

14.645828

12.000193

10.95675

12.455194

11.093139

11.339008

11.101801

11.244034

11.354242

11.397945

11.080026

11.091158

hep-th/0501150

Anton Zeitlin M.

Anton M. Zeitlin

Integrability of Superconformal Field Theory and SUSY N=1 KdV

LaTeX2e, cargese.cls, 4 pages, Subm. to String Theory: from Gauge Interactions to Cosmology, NATO Advanced Study Institute, Proc. of Cargese Summer School, NATO Science series C, 2005

null

10.1007/1-4020-3733-3_29

null

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

null

The quantum SUSY N=1 hierarchy based on $sl(2|1)^{(2)}$ twisted affine superalgebra is considered. The construction of the corresponding Baxter's Q-operators and fusion relations is outlined. The relation with the superconformal field theory is discussed.

[ { "created": "Wed, 19 Jan 2005 17:43:20 GMT", "version": "v1" } ]

2015-06-26

[ [ "Zeitlin", "Anton M.", "" ] ]

The quantum SUSY N=1 hierarchy based on $sl(2|1)^{(2)}$ twisted affine superalgebra is considered. The construction of the corresponding Baxter's Q-operators and fusion relations is outlined. The relation with the superconformal field theory is discussed.

10.057624

8.87058

14.95207

7.905151

8.247707

7.618368

7.926497

8.043158

8.196508

15.347763

8.63904

7.462463

11.910349

8.63819

8.719147

8.537848

7.728657

8.14457

8.80008

10.090609

8.067566

hep-th/9312141

null

Brian Davies

Infinite dimensional symmetry of corner transfer matrices

20 pages. Revision corrects problems with TeX caused by e-mail line wrapping

null

CMA-MR55-93

hep-th nlin.SI solv-int

null

We review some of the recent developments in two dimensional statistical mechanics in which corner transfer matrices provide the vital link between the physical system and the representation theory of quantum affine algebras. This opens many new possibilities, because the eigenstates may be described using the properties of q-vertex operators.

[ { "created": "Thu, 16 Dec 1993 19:52:20 GMT", "version": "v1" }, { "created": "Fri, 17 Dec 1993 14:42:33 GMT", "version": "v2" } ]

2016-09-06

[ [ "Davies", "Brian", "" ] ]

We review some of the recent developments in two dimensional statistical mechanics in which corner transfer matrices provide the vital link between the physical system and the representation theory of quantum affine algebras. This opens many new possibilities, because the eigenstates may be described using the properties of q-vertex operators.

14.065978

12.894629

18.11264

13.514256

13.514795

13.840816

13.272562

14.107681

13.612061

17.687523

12.475667

13.783993

16.036568

13.850541

13.824293

14.483674

13.721029

13.423249

13.805196

15.019741

13.314893

0909.5374

Patricio Gaete

Patricio Gaete and Jos\'e A. Hela\"yel-Neto

On condensation of charged scalars in D=3 dimensions

13 pages

Phys.Lett.B683:211-216,2010

10.1016/j.physletb.2009.12.018

null

hep-th

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

By using the gauge-invariant, but path-dependent, variables formalism, we study the impact of condensates on physical observables for a three-dimensional Higgs-like model. As a result, for the case of a physical mass term like $m_H^2 \phi ^ * \phi$, we recover a screening potential. Interestingly enough, in the case of a "wrong-sign" mass term $- m_H^2 \phi ^ * \phi$, unexpected features are found. It is shown that the interaction energy is the sum of an effective-Bessel and a linear potential, leading to the confinement of static charges. However, when a Chern-Simons term is included, the surprising result is that the theory describes an exactly screening phase.

[ { "created": "Tue, 29 Sep 2009 16:11:27 GMT", "version": "v1" }, { "created": "Thu, 10 Dec 2009 20:12:47 GMT", "version": "v2" } ]

2010-01-15

[ [ "Gaete", "Patricio", "" ], [ "Helaÿel-Neto", "José A.", "" ] ]

By using the gauge-invariant, but path-dependent, variables formalism, we study the impact of condensates on physical observables for a three-dimensional Higgs-like model. As a result, for the case of a physical mass term like $m_H^2 \phi ^ * \phi$, we recover a screening potential. Interestingly enough, in the case of a "wrong-sign" mass term $- m_H^2 \phi ^ * \phi$, unexpected features are found. It is shown that the interaction energy is the sum of an effective-Bessel and a linear potential, leading to the confinement of static charges. However, when a Chern-Simons term is included, the surprising result is that the theory describes an exactly screening phase.

11.356359

8.607209

10.422632

8.509794

8.593708

8.828694

8.955675

8.386786

8.094456

10.373499

8.747519

9.307738

10.245106

9.54391

9.03196

9.281286

9.072565

9.494192

9.273123

10.069366

9.367359

1610.03767

Hassan Firouzjahi

Primordial Universe Inside the Black Hole and Inflation

3 figures, 23 pages

null

hep-th astro-ph.CO gr-qc

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

We speculate that the early Universe was inside a primordial black hole. The interior of the the black hole is a dS background and the two spacetimes are separated on the surface of black hole's event horizon. We argue that this picture provides a natural realization of inflation without invoking the inflaton field. The black hole evaporation by Hawking radiation provides a natural mechanism for terminating inflation so reheating and the hot big bang cosmology starts from the evaporation of black hole to relativistic particles. The quantum gravitational fluctuations at the boundary of black hole generate the nearly scale invariant scalar and tensor perturbations with the ratio of tensor to scalar power spectra at the order of $10^{-3}$. As the black hole evaporates, the radius of its event horizon shrinks and the Hubble expansion rate during inflation increases slowly so the quantum Hawking radiation provides a novel mechanism for the violation of null energy condition in cosmology.

[ { "created": "Wed, 12 Oct 2016 16:10:09 GMT", "version": "v1" } ]

2016-10-13

[ [ "Firouzjahi", "Hassan", "" ] ]

We speculate that the early Universe was inside a primordial black hole. The interior of the the black hole is a dS background and the two spacetimes are separated on the surface of black hole's event horizon. We argue that this picture provides a natural realization of inflation without invoking the inflaton field. The black hole evaporation by Hawking radiation provides a natural mechanism for terminating inflation so reheating and the hot big bang cosmology starts from the evaporation of black hole to relativistic particles. The quantum gravitational fluctuations at the boundary of black hole generate the nearly scale invariant scalar and tensor perturbations with the ratio of tensor to scalar power spectra at the order of $10^{-3}$. As the black hole evaporates, the radius of its event horizon shrinks and the Hubble expansion rate during inflation increases slowly so the quantum Hawking radiation provides a novel mechanism for the violation of null energy condition in cosmology.

9.312545

9.06699

9.26001

9.081266

9.459601

9.556257

9.832003

9.075412

9.091396

10.224994

9.132451

9.512769

9.092485

8.674599

9.060015

9.015857

9.242074

9.072156

9.166915

9.034807

8.528411

1808.06835

Kang Zhou

Kang Zhou, Bo Feng

Note on differential operators, CHY integrands, and unifying relations for amplitudes

20 pages

JHEP09(2018)160

10.1007/JHEP09(2018)160

null

hep-th

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

An elegant unified web for amplitudes of various theories was given by Cachazo, He and Yuan in the CHY framework a few years ago. Recently, similar web has also been constructed by Cheung, Shen and Wen, which relies on a set of differential operators. In this note, by acting these differential operators on CHY-integrands systematically, we have established the relation between these two approaches. Thus, amplitudes for all theories which have CHY representations, include gravity theory, Einstein-Yang-Mills theory, Einstein-Maxwell theory, pure Yang-Mills theory, Yang-Mills-scalar theory, Born-Infeld theory, Dirac-Born-Infeld theory and its extension, bi-adjoint scalar theory, $\phi^4$ theory, non-linear sigma model, as well as special Galileon theory, have been included in the unified web rooted from gravity theory.

[ { "created": "Tue, 21 Aug 2018 10:37:11 GMT", "version": "v1" } ]

2018-10-24

[ [ "Zhou", "Kang", "" ], [ "Feng", "Bo", "" ] ]

An elegant unified web for amplitudes of various theories was given by Cachazo, He and Yuan in the CHY framework a few years ago. Recently, similar web has also been constructed by Cheung, Shen and Wen, which relies on a set of differential operators. In this note, by acting these differential operators on CHY-integrands systematically, we have established the relation between these two approaches. Thus, amplitudes for all theories which have CHY representations, include gravity theory, Einstein-Yang-Mills theory, Einstein-Maxwell theory, pure Yang-Mills theory, Yang-Mills-scalar theory, Born-Infeld theory, Dirac-Born-Infeld theory and its extension, bi-adjoint scalar theory, $\phi^4$ theory, non-linear sigma model, as well as special Galileon theory, have been included in the unified web rooted from gravity theory.

7.83077

5.689152

7.877522

5.712093

6.128405

6.165825

5.980505

5.933158

6.056684

8.311749

5.998736

6.307272

7.287478

6.60007

6.455445

6.221828

6.728619

6.338013

6.371889

7.387554

6.527843

0806.3699

A. Tureanu

M. M. Sheikh-Jabbari, A. Tureanu

A Realization of the Cohen-Glashow Very Special Relativity

5 pages, minor corrections, to appear in Phys. Rev. Lett

Phys.Rev.Lett.101:261601,2008

10.1103/PhysRevLett.101.261601

IPM/P-2008/036, HIP-2008-19/TH

hep-th hep-ph

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

We show that the Cohen-Glashow Very Special Relativity (VSR) theory [1] can be realized as the part of the Poincar\'e symmetry preserved on a noncommutative Moyal plane with light-like noncommutativity. Moreover, we show that the three subgroups relevant to the Cohen-Glashow VSR can also be realized in the noncommutative space-time setting. For all these three cases the noncommutativity parameter $\theta^{\mu\nu}$ should be light-like ($\theta^{\mu\nu}\theta_{\mu\nu}=0$). A fixed constant noncommutativity parameter respects the T(2) subgroup of Lorentz, while for the E(2) and SIM(2) cases the form of noncommutativity among the coordinates should be of linear (Lie algebra) and quadratic (quantum group) type, respectively. We discuss some physical implications of this realization of the Cohen-Glashow VSR.

[ { "created": "Mon, 23 Jun 2008 14:56:14 GMT", "version": "v1" }, { "created": "Sun, 27 Jul 2008 02:50:36 GMT", "version": "v2" }, { "created": "Thu, 18 Dec 2008 17:34:16 GMT", "version": "v3" } ]

2010-05-12

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

We show that the Cohen-Glashow Very Special Relativity (VSR) theory [1] can be realized as the part of the Poincar\'e symmetry preserved on a noncommutative Moyal plane with light-like noncommutativity. Moreover, we show that the three subgroups relevant to the Cohen-Glashow VSR can also be realized in the noncommutative space-time setting. For all these three cases the noncommutativity parameter $\theta^{\mu\nu}$ should be light-like ($\theta^{\mu\nu}\theta_{\mu\nu}=0$). A fixed constant noncommutativity parameter respects the T(2) subgroup of Lorentz, while for the E(2) and SIM(2) cases the form of noncommutativity among the coordinates should be of linear (Lie algebra) and quadratic (quantum group) type, respectively. We discuss some physical implications of this realization of the Cohen-Glashow VSR.

5.881545

5.877415

5.581063

5.385386

6.044327

5.901913

6.313629

5.664525

5.675024

6.198658

5.873692

5.508093

5.577673

5.388467

5.471424

5.684492

5.423818

5.341853

5.374856

5.683037

5.450782

hep-th/9109051

Cliff Burgess

C.P. Burgess and A.L. Marini

The Damping of Energetic Gluons and Quarks in High-Temperature QCD

9 pages

Phys.Rev.D45:17-20,1992

10.1103/PhysRevD.45.17

null

hep-th

null

When a gluon or a quark is sent through the hot QCD plasma it can be absorbed into the ambient heat bath and so can acquire an effective lifetime. At high temperatures and for weak couplings the inverse lifetime, or damping rate, for energetic quarks and transverse gluons, (those whose momenta satisfy $|\p| \gg gT$) is given by $\gamma(\p) = c\; g^2 \log\left({1\over g}\right)\; T + O(g^2T)$. We show that very simple arguments suffice both to fix the numerical coefficient, $c$, in this expression and to show that the $O(g^2T)$ contribution is incalculable in perturbation theory without further assumptions. For QCD with $N_c$ colours we find (expressed in terms of the casimir invariants $C_a=N_c$ and $C_f=(N_c^2-1)/(2N_c)$): $c_g=+{C_a\over 4\pi}$ for gluons and $c_q=+{C_f\over 4\pi}$ for quarks. These numbers agree with the more detailed calculations of Pisarski \etal\ but disagree with those of Lebedev and Smilga. The simplicity of the calculation also permits a direct verification of the gauge-invariance and physical sign of the result.

[ { "created": "Thu, 26 Sep 1991 15:08:39 GMT", "version": "v1" } ]

2009-12-30

[ [ "Burgess", "C. P.", "" ], [ "Marini", "A. L.", "" ] ]

When a gluon or a quark is sent through the hot QCD plasma it can be absorbed into the ambient heat bath and so can acquire an effective lifetime. At high temperatures and for weak couplings the inverse lifetime, or damping rate, for energetic quarks and transverse gluons, (those whose momenta satisfy $|\p| \gg gT$) is given by $\gamma(\p) = c\; g^2 \log\left({1\over g}\right)\; T + O(g^2T)$. We show that very simple arguments suffice both to fix the numerical coefficient, $c$, in this expression and to show that the $O(g^2T)$ contribution is incalculable in perturbation theory without further assumptions. For QCD with $N_c$ colours we find (expressed in terms of the casimir invariants $C_a=N_c$ and $C_f=(N_c^2-1)/(2N_c)$): $c_g=+{C_a\over 4\pi}$ for gluons and $c_q=+{C_f\over 4\pi}$ for quarks. These numbers agree with the more detailed calculations of Pisarski \etal\ but disagree with those of Lebedev and Smilga. The simplicity of the calculation also permits a direct verification of the gauge-invariance and physical sign of the result.

6.88276

7.960716

6.440008

6.325622

7.118789

7.741449

7.192509

6.99524

6.757738

6.985399

7.066073

6.724251

6.343147

6.408522

6.537292

6.629524

6.435919

6.5601

6.597936

6.296789

6.582349

1806.05124

Gustav Mogull

Henrik Johansson, Gustav Mogull, and Fei Teng

Unraveling conformal gravity amplitudes

32 pages, plus appendices and references; v2 minor changes

null

10.1007/JHEP09(2018)080

UUITP-24/18, NORDITA 2018-042

hep-th

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

Conformal supergravity amplitudes are obtained from the double-copy construction using gauge-theory amplitudes, and compared to direct calculations starting from conformal supergravity Lagrangians. We consider several different theories: minimal ${\cal N}=4$ conformal supergravity, non-minimal ${\cal N}=4$ Berkovits-Witten conformal supergravity, mass-deformed versions of these theories, as well as supersymmetry truncations thereof. Coupling the theories to a Yang-Mills sector is also considered. For all cases we give the gravity Lagrangians that the double copy implicitly generates. The two main results are: we determine a Lagrangian for the non-minimal Berkovits-Witten theory, and we uncover the double-copy prescription for the minimal ${\cal N}=4$ conformal supergravity.

[ { "created": "Wed, 13 Jun 2018 15:56:31 GMT", "version": "v1" }, { "created": "Thu, 20 Sep 2018 12:20:48 GMT", "version": "v2" } ]

2018-10-17

[ [ "Johansson", "Henrik", "" ], [ "Mogull", "Gustav", "" ], [ "Teng", "Fei", "" ] ]

Conformal supergravity amplitudes are obtained from the double-copy construction using gauge-theory amplitudes, and compared to direct calculations starting from conformal supergravity Lagrangians. We consider several different theories: minimal ${\cal N}=4$ conformal supergravity, non-minimal ${\cal N}=4$ Berkovits-Witten conformal supergravity, mass-deformed versions of these theories, as well as supersymmetry truncations thereof. Coupling the theories to a Yang-Mills sector is also considered. For all cases we give the gravity Lagrangians that the double copy implicitly generates. The two main results are: we determine a Lagrangian for the non-minimal Berkovits-Witten theory, and we uncover the double-copy prescription for the minimal ${\cal N}=4$ conformal supergravity.

6.185023

5.713319

6.541434

5.77193

5.804404

6.105247

5.571649

5.794606

5.953026

7.232018

5.683561

5.683246

6.168034

5.978855

5.77244

5.811986

5.789996

5.813823

5.644379

5.795857

5.927291

2211.10941

Oscar Fuentealba

Oscar Fuentealba, Marc Henneaux, C\'edric Troessaert

Logarithmic supertranslations and supertranslation-invariant Lorentz charges

52 pages, no figures, one comment added

null

10.1007/JHEP02(2023)248

null

hep-th gr-qc

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

We extend the BMS(4) group by adding logarithmic supertranslations. This is done by relaxing the boundary conditions on the metric and its conjugate momentum at spatial infinity in order to allow logarithmic terms of carefully designed form in the asymptotic expansion, while still preserving finiteness of the action. Standard theorems of the Hamiltonian formalism are used to derive the (finite) generators of the logarithmic supertranslations. As the ordinary supertranslations, these depend on a function of the angles. Ordinary and logarithmic supertranslations are then shown to form an abelian subalgebra with non-vanishing central extension. Because of this central term, one can make nonlinear redefinitions of the generators of the algebra so that the pure supertranslations ($\ell >1$ in a spherical harmonic expansion) and the logarithmic supertranslations have vanishing brackets with all the Poincar\'e generators, and, in particular, transform in the trivial representation of the Lorentz group. The symmetry algebra is then the direct sum of the Poincar\'e algebra and the infinite-dimensional abelian algebra formed by the pure supertranslations and the logarithmic supertranslations (with central extension). The pure supertranslations are thus completely decoupled from the standard Poincar\'e algebra in the asymptotic symmetry algebra. This implies in particular that one can provide a definition of the angular momentum which is manifestly free from supertranslation ambiguities. An intermediate redefinition providing a partial decoupling of the pure and logarithmic supertranslations is also given.

[ { "created": "Sun, 20 Nov 2022 10:33:03 GMT", "version": "v1" }, { "created": "Fri, 25 Nov 2022 13:48:55 GMT", "version": "v2" } ]

2023-03-22

[ [ "Fuentealba", "Oscar", "" ], [ "Henneaux", "Marc", "" ], [ "Troessaert", "Cédric", "" ] ]

We extend the BMS(4) group by adding logarithmic supertranslations. This is done by relaxing the boundary conditions on the metric and its conjugate momentum at spatial infinity in order to allow logarithmic terms of carefully designed form in the asymptotic expansion, while still preserving finiteness of the action. Standard theorems of the Hamiltonian formalism are used to derive the (finite) generators of the logarithmic supertranslations. As the ordinary supertranslations, these depend on a function of the angles. Ordinary and logarithmic supertranslations are then shown to form an abelian subalgebra with non-vanishing central extension. Because of this central term, one can make nonlinear redefinitions of the generators of the algebra so that the pure supertranslations ($\ell >1$ in a spherical harmonic expansion) and the logarithmic supertranslations have vanishing brackets with all the Poincar\'e generators, and, in particular, transform in the trivial representation of the Lorentz group. The symmetry algebra is then the direct sum of the Poincar\'e algebra and the infinite-dimensional abelian algebra formed by the pure supertranslations and the logarithmic supertranslations (with central extension). The pure supertranslations are thus completely decoupled from the standard Poincar\'e algebra in the asymptotic symmetry algebra. This implies in particular that one can provide a definition of the angular momentum which is manifestly free from supertranslation ambiguities. An intermediate redefinition providing a partial decoupling of the pure and logarithmic supertranslations is also given.

7.00354

7.031915

7.234809

6.611131

7.212026

7.094058

6.678651

6.844518

6.442142

7.596393

6.456713

6.924047

6.73244

6.639847

6.669598

6.826308

6.953208

6.656769

6.558296

7.037283

6.796548

2408.05048

Taiichi Nakanishi

Hiromi Ebisu, Masazumi Honda, Taiichi Nakanishi, Soichiro Shimamori

New Field Theories with Foliation Structure and Subdimensional Particles from Godbillon-Vey Invariant

50 pages, 15 figures

null

YITP-24-78, RIKEN-iTHEMS-Report-24, OU-HET-1237

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

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

Recently, subdimensional particles including fractons have attracted much attention from various areas. Notable features of such matter phases are mobility constraints and subextensive ground state degeneracies (GSDs). In this paper, we propose a BF-like theory motivated by the Godbillon-Vey invariant, which is a mathematical invariant of the foliated manifold. Our theory hosts subsystem higher form symmetries which manifestly ensure the mobility constraint and subextensive GSD through the spontaneous symmetry breaking. We also discuss some lattice spin models which realize the same low energy behaviours as the BF-like theory. Furthermore, we explore dynamical matter theories which are coupled to the BF-like theory.

[ { "created": "Fri, 9 Aug 2024 13:04:38 GMT", "version": "v1" } ]

2024-08-12

[ [ "Ebisu", "Hiromi", "" ], [ "Honda", "Masazumi", "" ], [ "Nakanishi", "Taiichi", "" ], [ "Shimamori", "Soichiro", "" ] ]

Recently, subdimensional particles including fractons have attracted much attention from various areas. Notable features of such matter phases are mobility constraints and subextensive ground state degeneracies (GSDs). In this paper, we propose a BF-like theory motivated by the Godbillon-Vey invariant, which is a mathematical invariant of the foliated manifold. Our theory hosts subsystem higher form symmetries which manifestly ensure the mobility constraint and subextensive GSD through the spontaneous symmetry breaking. We also discuss some lattice spin models which realize the same low energy behaviours as the BF-like theory. Furthermore, we explore dynamical matter theories which are coupled to the BF-like theory.

13.32924

13.61482

15.253914

13.657558

14.475802

12.921295

15.489123

13.292034

14.638949

14.435156

12.970844

11.959628

14.072322

12.491182

12.257212

11.546585

11.905756

12.572157

12.168064

13.860544

11.716

1904.08659

Giovanni Salm\`e

Giovanni Salm\`e (INFN - Rome)

Few-body systems in Minkowski space: the Bethe-Salpeter Equation challenge

11 pages, 5 figures. Proceedings of XXII International Conference on Few-Body problems in Physics. Few-Body Systems, in press

null

hep-th cond-mat.str-el

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

Solving the homogeneous Bethe-Salpeter equation directly in Minkowski space is becoming a very alive field, since, in recent years, a new approach has been introduced, and the reachable results can be potentially useful in various areas of research, as soon as the relativistic description of few-body bound systems is relevant. A brief review of the status of the novel approach, which benefits from the consistent efforts of different groups, will be presented, together with some recent results.

[ { "created": "Thu, 18 Apr 2019 09:55:32 GMT", "version": "v1" } ]

2019-04-19

[ [ "Salmè", "Giovanni", "", "INFN - Rome" ] ]

Solving the homogeneous Bethe-Salpeter equation directly in Minkowski space is becoming a very alive field, since, in recent years, a new approach has been introduced, and the reachable results can be potentially useful in various areas of research, as soon as the relativistic description of few-body bound systems is relevant. A brief review of the status of the novel approach, which benefits from the consistent efforts of different groups, will be presented, together with some recent results.

14.31419

14.669368

13.118879

12.79419

14.630209

13.590982

12.779509

14.003283

13.009753

12.604947

13.969833

13.358668

12.469075

12.945813

13.850765

13.913737

13.322453

12.920944

13.02602

12.681141

13.58507

hep-th/0203248

Nathan Jacob Berkovits

Nathan Berkovits (IFT/UNESP, Sao Paulo)

Conformal Field Theory for the Superstring in a Ramond-Ramond Plane Wave Background

13 pages harvmac

JHEP 0204 (2002) 037

10.1088/1126-6708/2002/04/037

IFT-P.020/2002

hep-th

null

A quantizable worldsheet action is constructed for the superstring in a supersymmetric plane wave background with Ramond-Ramond flux. The action is manifestly invariant under all isometries of the background and is an exact worldsheet conformal field theory.

[ { "created": "Tue, 26 Mar 2002 20:22:46 GMT", "version": "v1" } ]

2009-11-07

[ [ "Berkovits", "Nathan", "", "IFT/UNESP, Sao Paulo" ] ]

A quantizable worldsheet action is constructed for the superstring in a supersymmetric plane wave background with Ramond-Ramond flux. The action is manifestly invariant under all isometries of the background and is an exact worldsheet conformal field theory.

7.374198

4.826898

7.966807

5.114561

5.402871

4.631182

4.614175

5.30066

4.85219

8.475766

5.098129

5.683057

7.025255

5.772437

5.576629

5.692151

5.525439

5.919614

5.512592

6.551159

5.32019

1909.11402

Vasudev Shyam

William Donnelly, Elise LePage, Yan-Yan Li, Andre Pereira and Vasudev Shyam

Quantum corrections to finite radius holography and holographic entanglement entropy

25 pages, 1 figure. references updated in v2

null

10.1007/JHEP05(2020)006

null

hep-th gr-qc

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

We calculate quantum corrections to holographic entanglement entropy in the proposed duality between $T\bar{T}$-deformed holographic 2D CFTs and gravity in AdS$_{3}$ with a finite cutoff. We first establish the dictionary between the two theories by mapping the flow equation of the deformed CFT to the bulk Wheeler-DeWitt equation. The latter reduces to an ordinary differential equation for the sphere partition function, which we solve to find the entanglement entropy for an entangling surface consisting of two antipodal points on a sphere. The entanglement entropy in the inverse central charge expansion yields the expectation value of the bulk length operator plus the entropy of length fluctuations, in accordance with the Ryu--Takayanagi formula and its generalization due to Faulkner, Lewkowycz, and Maldacena. Special attention is paid to the conformal mode problem and its resolution by a choice of contour for the gravitational path integral.

[ { "created": "Wed, 25 Sep 2019 10:57:41 GMT", "version": "v1" }, { "created": "Fri, 20 Dec 2019 16:05:47 GMT", "version": "v2" } ]

2020-05-20

[ [ "Donnelly", "William", "" ], [ "LePage", "Elise", "" ], [ "Li", "Yan-Yan", "" ], [ "Pereira", "Andre", "" ], [ "Shyam", "Vasudev", "" ] ]

We calculate quantum corrections to holographic entanglement entropy in the proposed duality between $T\bar{T}$-deformed holographic 2D CFTs and gravity in AdS$_{3}$ with a finite cutoff. We first establish the dictionary between the two theories by mapping the flow equation of the deformed CFT to the bulk Wheeler-DeWitt equation. The latter reduces to an ordinary differential equation for the sphere partition function, which we solve to find the entanglement entropy for an entangling surface consisting of two antipodal points on a sphere. The entanglement entropy in the inverse central charge expansion yields the expectation value of the bulk length operator plus the entropy of length fluctuations, in accordance with the Ryu--Takayanagi formula and its generalization due to Faulkner, Lewkowycz, and Maldacena. Special attention is paid to the conformal mode problem and its resolution by a choice of contour for the gravitational path integral.

6.729364

6.166874

8.076794

6.051912

6.27682

6.016079

6.191905

6.002684

5.903391

8.993021

6.247435

6.587412

6.896234

6.763312

6.368859

6.481017

6.445396

6.638884

6.613387

6.919455

6.677341

hep-th/9802194

Paul S. Aspinwall

Aspects of the Hypermultiplet Moduli Space in String Duality

27 Pages, LaTeX 2e, 2 separate figures

JHEP 9804:019,1998

10.1088/1126-6708/1998/04/019

DUKE-CGTP-98-01

hep-th math.AG

null

A type IIA string (or F-theory) compactified on a Calabi-Yau threefold is believed to be dual to a heterotic string on a K3 surface times a 2-torus (or on a K3 surface). We consider how the resulting moduli space of hypermultiplets is identified between these two pictures in the case of the E8xE8 heterotic string. As examples we discuss SU(2)-bundles and G2-bundles on the K3 surface and the case of point-like instantons. We are lead to a rather beautiful identification between the integral cohomology of the Calabi-Yau threefold and some integral structures on the heterotic side somewhat reminiscent of mirror symmetry. We discuss the consequences for probing nonperturbative effects in the both the type IIA string and the heterotic string.

[ { "created": "Thu, 26 Feb 1998 21:10:18 GMT", "version": "v1" } ]

2010-02-03

[ [ "Aspinwall", "Paul S.", "" ] ]

A type IIA string (or F-theory) compactified on a Calabi-Yau threefold is believed to be dual to a heterotic string on a K3 surface times a 2-torus (or on a K3 surface). We consider how the resulting moduli space of hypermultiplets is identified between these two pictures in the case of the E8xE8 heterotic string. As examples we discuss SU(2)-bundles and G2-bundles on the K3 surface and the case of point-like instantons. We are lead to a rather beautiful identification between the integral cohomology of the Calabi-Yau threefold and some integral structures on the heterotic side somewhat reminiscent of mirror symmetry. We discuss the consequences for probing nonperturbative effects in the both the type IIA string and the heterotic string.

6.883998

6.844634

8.078197

6.439456

7.123769

6.648571

6.992267

6.973371

6.658712

8.847607

6.833848

6.415883

7.24067

6.457247

6.599772

6.424553

6.411729

6.384221

6.434581

7.15964

6.418389

1007.3634

Yoshinori Matsuo

Yoshinori Matsuo, Takuya Tsukioka and Chul-Moon Yoo

Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole

23 pages

Nucl.Phys.B844:146-163,2011

10.1016/j.nuclphysb.2010.10.020

APCTP-Pre2010-004, YITP-10-63

hep-th

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

Toward the Kerr/CFT correspondence for generic non-extremal Kerr black hole, the analysis of scattering amplitudes by near extremal Kerr provides a clue. This pursuit reveals a hidden conformal symmetry in the law frequency wave equation for a scalar field in a certain spacetime region referred to as the near region. For extremal case, the near region is expected to be the near horizon region in which the correspondence via the asymptotic symmetry is studied. We investigate the hidden conformal symmetry in the near horizon limit and consider the relation between the hidden conformal symmetry and the asymptotic symmetry in the near horizon limit. By using an appropriate definition of the quasi-local charge, we obtain the deviation of the entropy from the extremality.

[ { "created": "Wed, 21 Jul 2010 12:44:50 GMT", "version": "v1" } ]

2010-11-30

[ [ "Matsuo", "Yoshinori", "" ], [ "Tsukioka", "Takuya", "" ], [ "Yoo", "Chul-Moon", "" ] ]

Toward the Kerr/CFT correspondence for generic non-extremal Kerr black hole, the analysis of scattering amplitudes by near extremal Kerr provides a clue. This pursuit reveals a hidden conformal symmetry in the law frequency wave equation for a scalar field in a certain spacetime region referred to as the near region. For extremal case, the near region is expected to be the near horizon region in which the correspondence via the asymptotic symmetry is studied. We investigate the hidden conformal symmetry in the near horizon limit and consider the relation between the hidden conformal symmetry and the asymptotic symmetry in the near horizon limit. By using an appropriate definition of the quasi-local charge, we obtain the deviation of the entropy from the extremality.

12.075502

10.707064

10.470389

9.75445

11.234082

10.591832

10.530477

10.058496

10.066539

11.906161

10.119489

10.369068

10.574172

10.416419

11.102473

10.816903

10.658795

10.567592

10.444906

11.191752

10.987432

hep-th/0703067

Giovanni Villadoro

Nima Arkani-Hamed, Sergei Dubovsky, Alberto Nicolis, Giovanni Villadoro

Quantum Horizons of the Standard Model Landscape

44 pages, 9 figures

JHEP 0706:078,2007

10.1088/1126-6708/2007/06/078

null

hep-th gr-qc hep-ph

null

The long-distance effective field theory of our Universe--the Standard Model coupled to gravity--has a unique 4D vacuum, but we show that it also has a landscape of lower-dimensional vacua, with the potential for moduli arising from vacuum and Casimir energies. For minimal Majorana neutrino masses, we find a near-continuous infinity of AdS3xS1 vacua, with circumference ~20 microns and AdS3 length 4x10^25 m. By AdS/CFT, there is a CFT2 of central charge c~10^90 which contains the Standard Model (and beyond) coupled to quantum gravity in this vacuum. Physics in these vacua is the same as in ours for energies between 10^-1 eV and 10^48 GeV, so this CFT2 also describes all the physics of our vacuum in this energy range. We show that it is possible to realize quantum-stabilized AdS vacua as near-horizon regions of new kinds of quantum extremal black objects in the higher-dimensional space--near critical black strings in 4D, near-critical black holes in 3D. The violation of the null-energy condition by the Casimir energy is crucial for these horizons to exist, as has already been realized for analogous non-extremal 3D black holes by Emparan, Fabbri and Kaloper. The new extremal 3D black holes are particularly interesting--they are (meta)stable with an entropy independent of hbar and G_N, so a microscopic counting of the entropy may be possible in the G_N->0 limit. Our results suggest that it should be possible to realize the larger landscape of AdS vacua in string theory as near-horizon geometries of new extremal black brane solutions.

[ { "created": "Thu, 8 Mar 2007 19:40:39 GMT", "version": "v1" } ]

2010-10-27

[ [ "Arkani-Hamed", "Nima", "" ], [ "Dubovsky", "Sergei", "" ], [ "Nicolis", "Alberto", "" ], [ "Villadoro", "Giovanni", "" ] ]

The long-distance effective field theory of our Universe--the Standard Model coupled to gravity--has a unique 4D vacuum, but we show that it also has a landscape of lower-dimensional vacua, with the potential for moduli arising from vacuum and Casimir energies. For minimal Majorana neutrino masses, we find a near-continuous infinity of AdS3xS1 vacua, with circumference ~20 microns and AdS3 length 4x10^25 m. By AdS/CFT, there is a CFT2 of central charge c~10^90 which contains the Standard Model (and beyond) coupled to quantum gravity in this vacuum. Physics in these vacua is the same as in ours for energies between 10^-1 eV and 10^48 GeV, so this CFT2 also describes all the physics of our vacuum in this energy range. We show that it is possible to realize quantum-stabilized AdS vacua as near-horizon regions of new kinds of quantum extremal black objects in the higher-dimensional space--near critical black strings in 4D, near-critical black holes in 3D. The violation of the null-energy condition by the Casimir energy is crucial for these horizons to exist, as has already been realized for analogous non-extremal 3D black holes by Emparan, Fabbri and Kaloper. The new extremal 3D black holes are particularly interesting--they are (meta)stable with an entropy independent of hbar and G_N, so a microscopic counting of the entropy may be possible in the G_N->0 limit. Our results suggest that it should be possible to realize the larger landscape of AdS vacua in string theory as near-horizon geometries of new extremal black brane solutions.

9.391981

9.716098

10.60462

9.498091

10.442716

9.593836

10.209837

9.644629

9.922722

11.441039

9.554264

9.363626

9.754271

9.338465

9.25374

9.129027

9.156019

9.063595

9.437684

9.576783

9.039405

hep-th/0209224

Adi Armoni

A. Armoni, J. L. F. Barbon, A. C. Petkou

Rotating Strings in Confining AdS/CFT Backgrounds

18 pages, 3 figures. v2: minor changes, refs. added

JHEP 0210 (2002) 069

10.1088/1126-6708/2002/10/069

CERN-TH/2002-256

hep-th

null

We study semiclassical rotating strings in AdS/CFT backgrounds that exhibit both confinement and finite-size effects. The energy versus spin dispersion relation for short strings is the expected Regge trajectory behaviour, with the same string tension as is measured by the Wilson loop. Long strings probe the interplay between confinement and finite-size effects. In particular, the dispersion relation for long strings shows a characteristic dependence on the string tension and the finite-size scale.

[ { "created": "Thu, 26 Sep 2002 15:43:08 GMT", "version": "v1" }, { "created": "Tue, 1 Oct 2002 18:21:47 GMT", "version": "v2" } ]

2009-11-07

[ [ "Armoni", "A.", "" ], [ "Barbon", "J. L. F.", "" ], [ "Petkou", "A. C.", "" ] ]

We study semiclassical rotating strings in AdS/CFT backgrounds that exhibit both confinement and finite-size effects. The energy versus spin dispersion relation for short strings is the expected Regge trajectory behaviour, with the same string tension as is measured by the Wilson loop. Long strings probe the interplay between confinement and finite-size effects. In particular, the dispersion relation for long strings shows a characteristic dependence on the string tension and the finite-size scale.

10.833043

9.570506

11.6726

9.137696

9.457184

9.286165

9.504256

8.859824

9.656493

11.405633

9.283986

9.652403

10.2303

9.292486

9.741955

9.267003

9.436333

9.716574

9.548188

10.312189

9.249763

1105.3491

Akihiro Ishibashi

Daisuke Ida, Akihiro Ishibashi, and Tetsuya Shiromizu

Topology and Uniqueness of Higher Dimensional Black Holes

Invited review for Prog. Theor. Phys. Suppl, 41 pages, 4 figures, v2: references added

null

10.1143/PTPS.189.52

null

hep-th

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

We review recent results concerning general properties of higher dimensional black holes. The topics selected with particular focus are those concerning topology, symmetry, and uniqueness properties of asymptotically flat vacuum black holes in higher dimensional general relativity.

[ { "created": "Tue, 17 May 2011 21:12:38 GMT", "version": "v1" }, { "created": "Sat, 2 Jul 2011 07:07:35 GMT", "version": "v2" } ]

2015-05-28

[ [ "Ida", "Daisuke", "" ], [ "Ishibashi", "Akihiro", "" ], [ "Shiromizu", "Tetsuya", "" ] ]

We review recent results concerning general properties of higher dimensional black holes. The topics selected with particular focus are those concerning topology, symmetry, and uniqueness properties of asymptotically flat vacuum black holes in higher dimensional general relativity.

15.631635

13.367385

12.792409

11.537727

13.470152

13.436464

13.982366

12.65801

13.311198

12.446798

12.774244

13.532558

11.705303

12.822161

13.389856

13.443869

13.449428

12.369194

13.660424

12.974061

13.510756

2306.15383

Hoang Nam Cao

Cao H. Nam

Prediction of non-SUSY AdS conjecture on the lightest neutrino mass revisited

19 pages, 2 figures, 2 tables, new subsection III.A added, references added, published version

Phys. Rev. D 109 (2024), 103511

null

hep-th gr-qc hep-ph

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

We study the constraint of the non-SUSY AdS conjecture on the three-dimensional vacua obtained from the compactification of the Standard Model coupled to Einstein gravity on a circle where the three-dimensional components of the four-dimensional metric are general functions of both non-compact and compact coordinates. From studying the wavefunction profile of the three-dimensional metric in the compactified dimension, we find that the radius of the compactified dimension must be quantized. Consequently, the three-dimensional vacua are constrained by not only the non-SUSY AdS conjecture but also the quantization rule of the circle radius, leading to both upper and lower bounds for the mass of the lightest neutrino as $\sqrt{2}\leq m_\nu/\sqrt{\Lambda_4}<\sqrt{3}$ where $\Lambda_4\simeq5.06\times10^{-84}$ GeV$^2$ is the observed cosmological constant. This means that the lightest neutrino should have a mass around $10^{-32}$ eV or it would be approximately massless. With this prediction, we reconstruct the light neutrino mass matrix that is fixed by the neutrino oscillation data and in terms of three new mixing angles and six new phases for both the normal ordering and inverted ordering. In the situation that the light neutrino mass matrix is Hermitian, we calculate its numerical value in the $3\sigma$ range.

[ { "created": "Tue, 27 Jun 2023 11:10:31 GMT", "version": "v1" }, { "created": "Mon, 12 Aug 2024 17:04:45 GMT", "version": "v2" } ]

2024-08-13

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

We study the constraint of the non-SUSY AdS conjecture on the three-dimensional vacua obtained from the compactification of the Standard Model coupled to Einstein gravity on a circle where the three-dimensional components of the four-dimensional metric are general functions of both non-compact and compact coordinates. From studying the wavefunction profile of the three-dimensional metric in the compactified dimension, we find that the radius of the compactified dimension must be quantized. Consequently, the three-dimensional vacua are constrained by not only the non-SUSY AdS conjecture but also the quantization rule of the circle radius, leading to both upper and lower bounds for the mass of the lightest neutrino as $\sqrt{2}\leq m_\nu/\sqrt{\Lambda_4}<\sqrt{3}$ where $\Lambda_4\simeq5.06\times10^{-84}$ GeV$^2$ is the observed cosmological constant. This means that the lightest neutrino should have a mass around $10^{-32}$ eV or it would be approximately massless. With this prediction, we reconstruct the light neutrino mass matrix that is fixed by the neutrino oscillation data and in terms of three new mixing angles and six new phases for both the normal ordering and inverted ordering. In the situation that the light neutrino mass matrix is Hermitian, we calculate its numerical value in the $3\sigma$ range.

7.503798

8.328247

7.664665

7.3407

8.255422

8.741579

7.777089

7.553607

7.414728

7.755003

7.703371

7.657363

7.437281

7.222944

7.292227

7.557254

7.513418

7.574632

7.414233

7.793766

7.558867

hep-th/0310122

Ivonne Zavala

C.P. Burgess, F. Quevedo, R. Rabadan, G. Tasinato and I. Zavala

On Bouncing Brane-Worlds, S-branes and Branonium Cosmology

35 pages, 7 figures, JHEP style. Title changed and references added

JCAP 0402 (2004) 008

10.1088/1475-7516/2004/02/008

McGill-03/19, CERN-TH/2003-203, COLO-HEP-493, DAMTP-2003-104

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

null

We present several higher-dimensional spacetimes for which observers living on 3-branes experience an induced metric which bounces. The classes of examples include boundary branes on generalised S-brane backgrounds and probe branes in D-brane/anti D-brane systems. The bounces we consider normally would be expected to require an energy density which violates the weak energy condition, and for our co-dimension one examples this is attributable to bulk curvature terms in the effective Friedmann equation. We examine the features of the acceleration which provides the bounce, including in some cases the existence of positive acceleration without event horizons, and we give a geometrical interpretation for it. We discuss the stability of the solutions from the point of view of both the brane and the bulk. Some of our examples appear to be stable from the bulk point of view, suggesting the possible existence of stable bouncing cosmologies within the brane-world framework.

[ { "created": "Tue, 14 Oct 2003 00:21:28 GMT", "version": "v1" }, { "created": "Tue, 28 Oct 2003 01:11:20 GMT", "version": "v2" } ]

2009-11-10

[ [ "Burgess", "C. P.", "" ], [ "Quevedo", "F.", "" ], [ "Rabadan", "R.", "" ], [ "Tasinato", "G.", "" ], [ "Zavala", "I.", "" ] ]

We present several higher-dimensional spacetimes for which observers living on 3-branes experience an induced metric which bounces. The classes of examples include boundary branes on generalised S-brane backgrounds and probe branes in D-brane/anti D-brane systems. The bounces we consider normally would be expected to require an energy density which violates the weak energy condition, and for our co-dimension one examples this is attributable to bulk curvature terms in the effective Friedmann equation. We examine the features of the acceleration which provides the bounce, including in some cases the existence of positive acceleration without event horizons, and we give a geometrical interpretation for it. We discuss the stability of the solutions from the point of view of both the brane and the bulk. Some of our examples appear to be stable from the bulk point of view, suggesting the possible existence of stable bouncing cosmologies within the brane-world framework.

10.898539

10.763504

10.108828

10.151822

10.217805

10.548059

10.290846

10.107822

10.109385

11.051145

10.493972

10.38721

10.720631

10.476226

10.452886

10.508118

10.202624

10.251564

10.326587

11.035287

10.173665

hep-th/9911105

Zorawar S. Bassi

Z. S. Bassi and A. LeClair

The Exact S-Matrix for an osp(2|2) Disordered System

LaTeX2e, 43 pages, References added

Nucl.Phys. B578 (2000) 577-627

10.1016/S0550-3213(00)00173-5

CLNS 99/1646

hep-th

null

We study a two-dimensional disordered system consisting of Dirac fermions coupled to a scalar potential. This model is closely related to a more general disordered system that has been introduced in conjunction with the integer quantum Hall transition. After disorder averaging, the interaction can be written as a marginal osp(2|2) current-current perturbation. The osp(2|2) current-current model in turn can be viewed as the fully renormalized version of an osp(2|2)^(1) Toda-type system (at the marginal point). We build non-local charges for the Toda system satisfying the U_q[osp(2|2)^(1)] quantum superalgebra. The corresponding quantum group symmetry is used to construct a Toda S-matrix for the vector representation. We argue that in the marginal (or rational) limit, this S-matrix gives the exact (Yangian symmetric) physical S-matrix for the fundamental "solitons" of the osp(2|2) current-current model.

[ { "created": "Mon, 15 Nov 1999 15:16:47 GMT", "version": "v1" }, { "created": "Sat, 11 Dec 1999 18:18:54 GMT", "version": "v2" } ]

2009-10-31

[ [ "Bassi", "Z. S.", "" ], [ "LeClair", "A.", "" ] ]

We study a two-dimensional disordered system consisting of Dirac fermions coupled to a scalar potential. This model is closely related to a more general disordered system that has been introduced in conjunction with the integer quantum Hall transition. After disorder averaging, the interaction can be written as a marginal osp(2|2) current-current perturbation. The osp(2|2) current-current model in turn can be viewed as the fully renormalized version of an osp(2|2)^(1) Toda-type system (at the marginal point). We build non-local charges for the Toda system satisfying the U_q[osp(2|2)^(1)] quantum superalgebra. The corresponding quantum group symmetry is used to construct a Toda S-matrix for the vector representation. We argue that in the marginal (or rational) limit, this S-matrix gives the exact (Yangian symmetric) physical S-matrix for the fundamental "solitons" of the osp(2|2) current-current model.

9.352354

8.837977

11.308315

9.328876

9.42206

9.055609

9.48161

9.214685

8.650286

11.947958

9.192173

9.079844

9.371069

8.898789

9.209312

9.18384

9.302521

8.818304

9.073986

9.953699

9.06894

1903.00512

Augusto Pl\'acido Cavalcante Melo de Lima

A.P.C.M. Lima, G. Alencar, C. R. Muniz, R. R. Landim

Null Second Order Corrections to Casimir Energy in Weak Gravitational Field

(v4 Reuploaded) An improved version of this preprint has been accepted for publication in JCAP on June 08, 2019

Journal of Cosmology and Astroparticle Physics 2019.07 (2019): 011

10.1088/1475-7516/2019/07/011

null

hep-th

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

The discussion of vacuum energy is currently a subject of great theoretical importance, specially concerning the cosmological constant problem in General Relativity. From Quantum Field Theory, it is stated that vacuum states subject to boundary conditions may generate tensions on these boundaries related to a measurable non-zero renormalized vacuum energy: the Casimir Effect. As such, investigating how these vacuum states and energy behave in curved backgrounds is just natural and might provide important results in the near future. In this paper we revisit a model of the Casimir Effect in weak gravitational field background, which has been proposed and further generalized in the literature. A trick originally used to simplify calculations is shown to lead to a wrong value for the energy shift, and by performing explicit mode expansion we arrive at an unexpected result: null gravitational correction even at order $(M/R)^2$, in opposition to earlier results.

[ { "created": "Fri, 1 Mar 2019 19:49:13 GMT", "version": "v1" }, { "created": "Mon, 18 Mar 2019 18:25:42 GMT", "version": "v2" }, { "created": "Fri, 29 Mar 2019 17:57:10 GMT", "version": "v3" }, { "created": "Wed, 1 May 2019 00:56:09 GMT", "version": "v4" }, { "created": "Mon, 17 Jun 2019 20:55:05 GMT", "version": "v5" } ]

2020-02-07

[ [ "Lima", "A. P. C. M.", "" ], [ "Alencar", "G.", "" ], [ "Muniz", "C. R.", "" ], [ "Landim", "R. R.", "" ] ]

The discussion of vacuum energy is currently a subject of great theoretical importance, specially concerning the cosmological constant problem in General Relativity. From Quantum Field Theory, it is stated that vacuum states subject to boundary conditions may generate tensions on these boundaries related to a measurable non-zero renormalized vacuum energy: the Casimir Effect. As such, investigating how these vacuum states and energy behave in curved backgrounds is just natural and might provide important results in the near future. In this paper we revisit a model of the Casimir Effect in weak gravitational field background, which has been proposed and further generalized in the literature. A trick originally used to simplify calculations is shown to lead to a wrong value for the energy shift, and by performing explicit mode expansion we arrive at an unexpected result: null gravitational correction even at order $(M/R)^2$, in opposition to earlier results.

17.122238

16.859772

16.960278

16.702173

17.919769

17.044241

17.719868

17.877121

17.046066

17.474558

17.702896

16.101334

17.024097

16.4522

16.772003

17.153578

16.595688

16.681942

16.620253

16.778746

16.250061

hep-th/0003184

John F. Wheater

Ian I. Kogan and John F. Wheater

Boundary Logarithmic Conformal Field Theory

17 pages,3 eps figures, revised final section, clarification added in a couple of other places, typos corrected

Phys.Lett. B486 (2000) 353-361

10.1016/S0370-2693(00)00767-X

OUTP-00-05P

hep-th

null

We discuss the effect of boundaries in boundary logarithmic conformal field theory and show, with reference to both $c=-2$ and $c=0$ models, how they produce new features even in bulk correlation functions which are not present in the corresponding models without boundaries. We discuss the modification of Cardy's relation between boundary states and bulk quantities.

[ { "created": "Tue, 21 Mar 2000 10:24:33 GMT", "version": "v1" }, { "created": "Mon, 26 Jun 2000 09:22:41 GMT", "version": "v2" } ]

2009-10-31

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

We discuss the effect of boundaries in boundary logarithmic conformal field theory and show, with reference to both $c=-2$ and $c=0$ models, how they produce new features even in bulk correlation functions which are not present in the corresponding models without boundaries. We discuss the modification of Cardy's relation between boundary states and bulk quantities.

12.696193

12.411301

15.805687

11.421696

13.931705

12.648266

11.542137

11.660357

11.185998

15.417618

10.791466

11.870564

14.017513

11.852264

11.972345

12.001167

11.515983

11.558536

11.657642

13.631615

11.889904

hep-th/0612045

Boris Noyvert

Z2 x Z2 graded superconformal algebra of parafermionic type

23 pages; v2: typos fixed

Adv.Theor.Math.Phys.13:159-185,2009

null

hep-th math-ph math.MP math.RT

null

We present a new conformal algebra. It is Z2 x Z2 graded and generated by three N=1 superconformal algebras coupled to each other by nontrivial relations of parafermionic type. The representation theory and unitary models of the algebra are briefly discussed. We also conjecture the existence of infinite series of parafermionic algebras containing many N=1 or N=2 superconformal subalgebras.

[ { "created": "Wed, 6 Dec 2006 18:21:34 GMT", "version": "v1" }, { "created": "Mon, 12 Mar 2007 19:45:58 GMT", "version": "v2" } ]

2009-01-23

[ [ "Noyvert", "Boris", "" ] ]

We present a new conformal algebra. It is Z2 x Z2 graded and generated by three N=1 superconformal algebras coupled to each other by nontrivial relations of parafermionic type. The representation theory and unitary models of the algebra are briefly discussed. We also conjecture the existence of infinite series of parafermionic algebras containing many N=1 or N=2 superconformal subalgebras.

6.346081

6.045002

6.513061

5.897387

6.570552

5.713365

6.154638

5.962267

6.448328

7.434773

6.1505

5.988404

6.928682

6.186821

6.101418

6.136087

6.111228

6.23199

6.033956

6.685935

6.144705

2305.00297

Patrick Jefferson

Veronica Arena, Patrick Jefferson, and Stephen Obinna

Intersection Theory on Weighted Blowups of F-theory Vacua

37 pages plus an appendix. v2: Minor clarifications to Sections 3 and 4

null

MIT-CTP-5551

hep-th math.AG

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

Generalizing the results of 1211.6077 and 1703.00905, we prove a formula for the pushforward of an arbitrary analytic function of the exceptional divisor class of a weighted blowup of an algebraic variety centered at a smooth complete intersection with normal crossing. We check this formula extensively by computing the generating function of intersection numbers of a weighted blowup of the generic SU(5) Tate model over arbitrary smooth base, and comparing the answer to known results. Motivated by applications to four-dimensional F-theory flux compactifications, we use our formula to compute the intersection pairing on the vertical part of the middle cohomology of elliptic Calabi-Yau 4-folds resolving the generic F$_4$ and Sp(6) Tate models with non-minimal singularities. These resolutions lead to non-flat fibrations in which certain fibers contain 3-fold (divisor) components, whose physical interpretation in M/F-theory remains to be fully explored.

[ { "created": "Sat, 29 Apr 2023 16:25:48 GMT", "version": "v1" }, { "created": "Mon, 14 Aug 2023 18:37:36 GMT", "version": "v2" } ]

2023-08-16

[ [ "Arena", "Veronica", "" ], [ "Jefferson", "Patrick", "" ], [ "Obinna", "Stephen", "" ] ]

Generalizing the results of 1211.6077 and 1703.00905, we prove a formula for the pushforward of an arbitrary analytic function of the exceptional divisor class of a weighted blowup of an algebraic variety centered at a smooth complete intersection with normal crossing. We check this formula extensively by computing the generating function of intersection numbers of a weighted blowup of the generic SU(5) Tate model over arbitrary smooth base, and comparing the answer to known results. Motivated by applications to four-dimensional F-theory flux compactifications, we use our formula to compute the intersection pairing on the vertical part of the middle cohomology of elliptic Calabi-Yau 4-folds resolving the generic F$_4$ and Sp(6) Tate models with non-minimal singularities. These resolutions lead to non-flat fibrations in which certain fibers contain 3-fold (divisor) components, whose physical interpretation in M/F-theory remains to be fully explored.

13.076485

13.697626

15.428531

11.938628

13.961658

13.033609

12.758138

12.027607

12.299525

16.319618

12.981487

11.764766

12.83231

11.744868

12.254851

11.811502

12.143209

12.13817

11.811628

13.205091

12.004948

hep-th/0104203

Peter Bantay

P. Bantay

Permutation orbifolds and their applications

Invited talk at the Fields Institute workshop "Vertex Operator Algebras in Mathematics and Physics", Toronto, Canada, 23-27 October 2000

null

hep-th

null

The theory of permutation orbifolds is reviewed and applied to the study of symmetric product orbifolds and the congruence subgroup problem. The issue of discrete torsion, the combinatorics of symmetric products, the Galois action and questions related to the classification of RCFTs are also discussed.

[ { "created": "Tue, 24 Apr 2001 09:07:18 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bantay", "P.", "" ] ]

The theory of permutation orbifolds is reviewed and applied to the study of symmetric product orbifolds and the congruence subgroup problem. The issue of discrete torsion, the combinatorics of symmetric products, the Galois action and questions related to the classification of RCFTs are also discussed.

11.179708

9.547369

12.658286

9.247734

9.34505

9.785348

9.028054

8.320584

9.309513

14.775534

9.054787

9.312902

12.317266

10.182828

9.804755

9.856844

9.225043

9.514978

10.25921

12.1307

9.537143

hep-th/9503070

null

Igor Vaysburd (SISSA)

Critical RSOS Models in External Fields

20 pages, latex (references added)

Nucl.Phys. B446 (1995) 387-404

10.1016/0550-3213(95)00214-D

SISSA-ISAS 150/94/FM

hep-th

null

We suggest a new family of unitary RSOS scattering models which is obtained by placing the SO(N) critical models in "electric" or "magnetic" field. These fields are associated with two operators from the space of the SO(N) RCFT corresponding to the highest weight of the vector representation of SO(N). A perturbation by the external fields destroys the Weyl group symmetry of an original statistical model. We show that the resulting kinks scattering theories can be viewed as affine imaginary Toda models for non-simply-laced and twisted algebras taken at rational values (roots of unity) of $q$-parameter. We construct the fundamental kink $S$-matrices for these models. At the levels $k=1, 2, \infty$ our answers match the known results for the Sine-Gordon, $Z_{2N}$ - parafermions and free fermions respectively. As a by-product in the SO(4)-case we obtain an RSOS $S$-matrix describing an integrable coupling of two minimal CFT.

[ { "created": "Fri, 10 Mar 1995 16:45:14 GMT", "version": "v1" }, { "created": "Tue, 14 Mar 1995 15:28:50 GMT", "version": "v2" }, { "created": "Tue, 21 Mar 1995 16:02:41 GMT", "version": "v3" } ]

2009-10-28

[ [ "Vaysburd", "Igor", "", "SISSA" ] ]

We suggest a new family of unitary RSOS scattering models which is obtained by placing the SO(N) critical models in "electric" or "magnetic" field. These fields are associated with two operators from the space of the SO(N) RCFT corresponding to the highest weight of the vector representation of SO(N). A perturbation by the external fields destroys the Weyl group symmetry of an original statistical model. We show that the resulting kinks scattering theories can be viewed as affine imaginary Toda models for non-simply-laced and twisted algebras taken at rational values (roots of unity) of $q$-parameter. We construct the fundamental kink $S$-matrices for these models. At the levels $k=1, 2, \infty$ our answers match the known results for the Sine-Gordon, $Z_{2N}$ - parafermions and free fermions respectively. As a by-product in the SO(4)-case we obtain an RSOS $S$-matrix describing an integrable coupling of two minimal CFT.

11.931413

12.110677

14.60259

10.749137

12.48215

11.765676

11.783105

10.987288

11.216828

15.069803

11.237972

11.624063

12.438495

11.512236

11.69298

11.826695

11.785625

11.492409

11.6802

12.99506

11.240017

hep-th/9802109

Igor Klebanov

S.S. Gubser, I.R. Klebanov and A.M. Polyakov

Gauge Theory Correlators from Non-Critical String Theory

15 pages, harvmac with btxmac; minor revisions, 1 reference added, the version to appear in Physics Letters B

Phys.Lett.B428:105-114,1998

10.1016/S0370-2693(98)00377-3

PUPT-1767

hep-th

null

We suggest a means of obtaining certain Green's functions in 3+1-dimensional ${\cal N} = 4$ supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. The non-critical string theory is related to critical string theory in anti-deSitter background. We introduce a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory. Correlation functions of operators in the gauge theory are related to the dependence of the supergravity action on the boundary conditions. From the quadratic terms in supergravity we read off the anomalous dimensions. For operators that couple to massless string states it has been established through absorption calculations that the anomalous dimensions vanish, and we rederive this result. The operators that couple to massive string states at level $n$ acquire anomalous dimensions that grow as $2\left (n g_{YM} \sqrt {2 N} )^{1/2}$ for large `t Hooft coupling. This is a new prediction about the strong coupling behavior of large $N$ SYM theory.

[ { "created": "Mon, 16 Feb 1998 18:38:17 GMT", "version": "v1" }, { "created": "Fri, 27 Mar 1998 22:25:16 GMT", "version": "v2" } ]

2008-11-26

[ [ "Gubser", "S. S.", "" ], [ "Klebanov", "I. R.", "" ], [ "Polyakov", "A. M.", "" ] ]

We suggest a means of obtaining certain Green's functions in 3+1-dimensional ${\cal N} = 4$ supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. The non-critical string theory is related to critical string theory in anti-deSitter background. We introduce a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory. Correlation functions of operators in the gauge theory are related to the dependence of the supergravity action on the boundary conditions. From the quadratic terms in supergravity we read off the anomalous dimensions. For operators that couple to massless string states it has been established through absorption calculations that the anomalous dimensions vanish, and we rederive this result. The operators that couple to massive string states at level $n$ acquire anomalous dimensions that grow as $2\left (n g_{YM} \sqrt {2 N} )^{1/2}$ for large `t Hooft coupling. This is a new prediction about the strong coupling behavior of large $N$ SYM theory.

7.627599

8.069763

8.423779

7.227123

7.889176

7.80099

7.559757

7.773917

7.481858

8.598711

7.22679

7.535903

7.746423

7.31484

7.482121

7.461729

7.548476

7.26652

7.368125

8.081878

7.338654

1609.09302

Christoph Keller

Matthias R. Gaberdiel, Christoph A. Keller, and Hynek Paul

Mathieu Moonshine and Symmetry Surfing

32 pages. V2: added more detailed argument on which states get lifted under symmetry surfing

null

10.1088/1751-8121/aa915f

null

hep-th math.NT math.RT

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

Mathieu Moonshine, the observation that the Fourier coefficients of the elliptic genus on K3 can be interpreted as dimensions of representations of the Mathieu group M24, has been proven abstractly, but a conceptual understanding in terms of a representation of the Mathieu group on the BPS states, is missing. Some time ago, Taormina and Wendland showed that such an action can be naturally defined on the lowest non-trivial BPS states, using the idea of `symmetry surfing', i.e., by combining the symmetries of different K3 sigma models. In this paper we find non-trivial evidence that this construction can be generalized to all BPS states.

[ { "created": "Thu, 29 Sep 2016 11:39:40 GMT", "version": "v1" }, { "created": "Mon, 22 Jan 2018 23:45:17 GMT", "version": "v2" } ]

2018-01-24

[ [ "Gaberdiel", "Matthias R.", "" ], [ "Keller", "Christoph A.", "" ], [ "Paul", "Hynek", "" ] ]

Mathieu Moonshine, the observation that the Fourier coefficients of the elliptic genus on K3 can be interpreted as dimensions of representations of the Mathieu group M24, has been proven abstractly, but a conceptual understanding in terms of a representation of the Mathieu group on the BPS states, is missing. Some time ago, Taormina and Wendland showed that such an action can be naturally defined on the lowest non-trivial BPS states, using the idea of `symmetry surfing', i.e., by combining the symmetries of different K3 sigma models. In this paper we find non-trivial evidence that this construction can be generalized to all BPS states.

7.467666

6.878103

8.586884

7.150259

6.943764

8.129121

7.075187

6.751151

7.474966

9.006917

7.215477

6.804833

7.189093

6.750079

6.75964

6.812588

6.766773

6.83944

6.589252

7.378575

6.889333

0810.4811

Keisuke Izumi

Keisuke Izumi and Takahiro Tanaka

Particle production in models with helicity-0 graviton ghost in de Sitter spacetime

7 pages, 1 figure

Prog.Theor.Phys.121:427-436,2009

10.1143/PTP.121.427

KUNS-2165

hep-th

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

We revisit the problem of the helicity-0 ghost mode of massive graviton in the de Sitter background. In general, the presence of a ghost particle, which has negative energy, drives the vacuum to be unstable through pair production of ghost particles and ordinary particles. In the case that the vacuum state preserves the de Sitter invariance, the number density created by the pair production inevitably diverges due to unsuppressed ultra-violet(UV) contributions. In such cases one can immediately conclude that the model is not viable. However, in the massive gravity theory we cannot construct a vacuum state which respects the de Sitter invariance. Therefore the presence of a ghost does not immediately mean the breakdown of the model. Explicitly estimating the number density and the energy density of particles created by the pair production of two conformal scalar particles and one helicity-0 ghost graviton, we find that these densities both diverge. However, since models with helicity-0 ghost graviton have no de Sitter invariant vacuum state, it is rather natural to consider a UV cutoff scale in the three-dimensional momentum space. Then, even if we take the cutoff scale as large as the Planck scale, the created number density and energy density are well suppressed. In many models the cutoff scale is smaller than the Planck scale. In such models the created number density and the energy density are negligiblly small as long as only the physics below the cutoff scale is concerned.

[ { "created": "Mon, 27 Oct 2008 13:48:23 GMT", "version": "v1" } ]

2011-04-28

[ [ "Izumi", "Keisuke", "" ], [ "Tanaka", "Takahiro", "" ] ]

We revisit the problem of the helicity-0 ghost mode of massive graviton in the de Sitter background. In general, the presence of a ghost particle, which has negative energy, drives the vacuum to be unstable through pair production of ghost particles and ordinary particles. In the case that the vacuum state preserves the de Sitter invariance, the number density created by the pair production inevitably diverges due to unsuppressed ultra-violet(UV) contributions. In such cases one can immediately conclude that the model is not viable. However, in the massive gravity theory we cannot construct a vacuum state which respects the de Sitter invariance. Therefore the presence of a ghost does not immediately mean the breakdown of the model. Explicitly estimating the number density and the energy density of particles created by the pair production of two conformal scalar particles and one helicity-0 ghost graviton, we find that these densities both diverge. However, since models with helicity-0 ghost graviton have no de Sitter invariant vacuum state, it is rather natural to consider a UV cutoff scale in the three-dimensional momentum space. Then, even if we take the cutoff scale as large as the Planck scale, the created number density and energy density are well suppressed. In many models the cutoff scale is smaller than the Planck scale. In such models the created number density and the energy density are negligiblly small as long as only the physics below the cutoff scale is concerned.

7.111307

7.566245

7.374319

7.329307

7.64423

7.539332

7.973857

6.929557

7.257076

7.928206

7.219126

7.132019

7.079365

6.740357

7.132046

7.341079

7.02588

7.096167

7.163765

7.103252

7.004299

hep-th/0301006

Freddy A. Cachazo B.

Freddy Cachazo, Nathan Seiberg and Edward Witten

Phases of N=1 Supersymmetric Gauge Theories and Matrices

68 pages. Clarifications and references added. Misprints fixed

JHEP 0302:042,2003

10.1088/1126-6708/2003/02/042

null

hep-th

null

N=1 supersymmetric U(N) gauge theory with adjoint matter $\Phi$ and a polynomial superpotential $\Tr W(\Phi)$ has been much studied recently. The classical theory has several vacua labeled by integers $(N_1,N_2,...,N_k)$, with the classical unbroken gauge group $\prod_i U(N_i)$. Quantum mechanically, each classical vacuum leads to $\prod_i N_i$ different vacua. As the parameters of $W(\Phi)$ are varied, these vacua change in a continuous (and holomorphic) fashion. We find that vacua associated with $(N_1,N_2,...,N_k)$ can be continuously transformed to vacua with $(\tilde N_1,\tilde N_2,...,\tilde N_k)$, thus leading to a new kind of duality. Traditional order parameters, like the Wilson loop and 't Hooft loop, sometimes distinguish different phases. We also find phases that are not distinguished by conventional order parameters. The whole picture of the phase diagram is reminiscent of the phase diagram of $M$-theory.

[ { "created": "Thu, 2 Jan 2003 18:27:24 GMT", "version": "v1" }, { "created": "Mon, 10 Feb 2003 21:24:41 GMT", "version": "v2" } ]

2010-04-07

[ [ "Cachazo", "Freddy", "" ], [ "Seiberg", "Nathan", "" ], [ "Witten", "Edward", "" ] ]

N=1 supersymmetric U(N) gauge theory with adjoint matter $\Phi$ and a polynomial superpotential $\Tr W(\Phi)$ has been much studied recently. The classical theory has several vacua labeled by integers $(N_1,N_2,...,N_k)$, with the classical unbroken gauge group $\prod_i U(N_i)$. Quantum mechanically, each classical vacuum leads to $\prod_i N_i$ different vacua. As the parameters of $W(\Phi)$ are varied, these vacua change in a continuous (and holomorphic) fashion. We find that vacua associated with $(N_1,N_2,...,N_k)$ can be continuously transformed to vacua with $(\tilde N_1,\tilde N_2,...,\tilde N_k)$, thus leading to a new kind of duality. Traditional order parameters, like the Wilson loop and 't Hooft loop, sometimes distinguish different phases. We also find phases that are not distinguished by conventional order parameters. The whole picture of the phase diagram is reminiscent of the phase diagram of $M$-theory.

6.049266

5.697268

6.52591

5.694705

6.25792

5.769516

5.944008

5.88199

5.511392

6.739561

5.750872

5.59976

6.032503

5.613887

5.67377

5.850751

5.77644

5.68612

5.742554

5.9264

5.753081

2210.15998

Rajesh Gupta

Rajesh Kumar Gupta, Meenu

Spatially Random Disorder in Unitary Fermion System in $(4-\epsilon)$-Dimensions and Effective Action at Finite Temperature

25 pages, 6 figures

null

10.1007/JHEP07(2023)003

null

hep-th cond-mat.str-el

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

Non-relativistic conformal field theory is significant to understand various aspects of an ultra-cold system. In this paper, we study a non-relativistic system of two-component fermions interacting with a complex boson with Yukawa-like interactions near $d=4$-spatial dimensions in the presence of a quenched disorder. The homogeneous theory flows to an interacting fixed point describing a unitary fermion system. In the presence of the disorder, we find that the system has an interesting phase structure in the space of the coupling constants and exhibits an interacting disorder fixed point in $\epsilon$-expansion. The correlation function obeys Lifshitz scaling behaviour at the disorder fixed point with the anisotropic exponent being $z=2+\gamma_E$. We also study the disorder system at finite temperature and compute the leading contribution to the 1PI effective action.

[ { "created": "Fri, 28 Oct 2022 09:05:04 GMT", "version": "v1" } ]

2023-07-26

[ [ "Gupta", "Rajesh Kumar", "" ], [ "Meenu", "", "" ] ]

Non-relativistic conformal field theory is significant to understand various aspects of an ultra-cold system. In this paper, we study a non-relativistic system of two-component fermions interacting with a complex boson with Yukawa-like interactions near $d=4$-spatial dimensions in the presence of a quenched disorder. The homogeneous theory flows to an interacting fixed point describing a unitary fermion system. In the presence of the disorder, we find that the system has an interesting phase structure in the space of the coupling constants and exhibits an interacting disorder fixed point in $\epsilon$-expansion. The correlation function obeys Lifshitz scaling behaviour at the disorder fixed point with the anisotropic exponent being $z=2+\gamma_E$. We also study the disorder system at finite temperature and compute the leading contribution to the 1PI effective action.

9.779632

10.105811

10.565566

8.750266

9.873781

9.590021

9.532978

9.633657

8.993778

11.560321

9.20997

8.707534

9.483735

8.608804

8.996036

9.006924

8.783253

8.621037

8.582521

9.360003

8.785935

1603.09248

Shinpei Kobayashi

Regular Black Holes and Noncommutative Geometry Inspired Fuzzy Sources

27 pages, 9 figures, v2: typos corrected

Int. J. Mod. Phys. A31 (2016) 1650080

10.1142/S0217751X16500809

null

hep-th gr-qc

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

We investigated regular black holes with fuzzy sources in three and four dimensions. The density distributions of such fuzzy sources are inspired by noncommutative geometry and given by Gaussian or generalized Gaussian functions. We utilized mass functions to give a physical interpretation of the horizon formation condition for the black holes. In particular, we investigated three-dimensional BTZ-like black holes and four-dimensional Schwarzschild-like black holes in detail, and found that the number of horizons is related to the spacetime dimensions, and the existence of a void in the vicinity of the center of the spacetime is significant, rather than noncommutativity. As an application, we considered a three-dimensional black hole with the fuzzy disc which is a disc-shaped region known in the context of noncommutative geometry as a source. We also analyzed a four-dimensional black hole with a source whose density distribution is an extension of the fuzzy disc, and investigated the horizon formation condition for it.

[ { "created": "Wed, 30 Mar 2016 15:36:06 GMT", "version": "v1" }, { "created": "Mon, 16 May 2016 07:35:11 GMT", "version": "v2" } ]

2016-05-17

[ [ "Kobayashi", "Shinpei", "" ] ]

We investigated regular black holes with fuzzy sources in three and four dimensions. The density distributions of such fuzzy sources are inspired by noncommutative geometry and given by Gaussian or generalized Gaussian functions. We utilized mass functions to give a physical interpretation of the horizon formation condition for the black holes. In particular, we investigated three-dimensional BTZ-like black holes and four-dimensional Schwarzschild-like black holes in detail, and found that the number of horizons is related to the spacetime dimensions, and the existence of a void in the vicinity of the center of the spacetime is significant, rather than noncommutativity. As an application, we considered a three-dimensional black hole with the fuzzy disc which is a disc-shaped region known in the context of noncommutative geometry as a source. We also analyzed a four-dimensional black hole with a source whose density distribution is an extension of the fuzzy disc, and investigated the horizon formation condition for it.

9.029661

8.863895

9.521487

9.163886

9.2997

9.374931

9.340989

8.703559

9.821867

9.321504

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9.122207

9.291469

9.098767

9.090259

8.925121

8.848621

9.175335

8.912854

9.24525

9.026776

hep-th/9712218

Diego

D. Bellisai (Rome U. Tor Vergata), G. Travaglini (INFN Tor Vergata)

Instanton Calculus and SUSY Gauge Theories on ALE Manifolds

15 pages, LaTeX file. Extended version to be published in Physical Review D

Phys.Rev. D58 (1998) 025008

10.1103/PhysRevD.58.025008

ROM2F-97-47

hep-th

null

We study instanton effects along the Coulomb branch of an N=2 supersymmetric Yang-Mills theory with gauge group SU(2) on Asymptotically Locally Euclidean (ALE) spaces. We focus our attention on an Eguchi-Hanson gravitational background and on gauge field configurations of lowest Chern class.

[ { "created": "Tue, 23 Dec 1997 18:22:57 GMT", "version": "v1" }, { "created": "Fri, 24 Apr 1998 17:53:10 GMT", "version": "v2" } ]

2009-10-30

[ [ "Bellisai", "D.", "", "Rome U. Tor Vergata" ], [ "Travaglini", "G.", "", "INFN Tor Vergata" ] ]

We study instanton effects along the Coulomb branch of an N=2 supersymmetric Yang-Mills theory with gauge group SU(2) on Asymptotically Locally Euclidean (ALE) spaces. We focus our attention on an Eguchi-Hanson gravitational background and on gauge field configurations of lowest Chern class.

7.475276

6.57956

8.293943

6.322266

6.446982

6.562577

6.074276

6.386692

6.05625

8.97345

6.621922

6.92489

7.873424

6.897689

6.663764

7.320251

6.604581

7.070049

6.749284

8.138041

6.887099

hep-th/9704140

null

N.P.Chitaia, S.A.Gogilidze and Yu.S.Surovtsev

Quasigroup of Local-Symmetry Transformations in Constrained Theories

20 pages, LaTex

null

Communication of Joint Institute for Nuclear Research E2-96-244, Dubna, 1996

hep-th

null

In the framework of the generalized Hamiltonian formalism by Dirac, the local symmetries of dynamical systems with first- and second-class constraints are investigated in the general case without restrictions on the algebra of constraints. The method of constructing the generator of local-symmetry transformations is obtained from the requirement for them to map the solutions of the Hamiltonian equations of motion into the solutions of the same equations. It is proved that second-class constraints do not contribute to the transformation law of the local symmetry entirely stipulated by all the first-class constraints (and only by them) of an equivalent set passing to which from the initial constraint set is always possible and is presented. A mechanism of occurrence of higher derivatives of coordinates and group parameters in the symmetry transformation law in the Noether second theorem is elucidated. In the latter case it is shown that the obtained transformations of symmetry are canonical in the extended (by Ostrogradsky) phase space. It is thereby shown in the general case that the degeneracy of theories with the first- and second-class constraints is due to their invariance under local-symmetry transformations. It is also shown in the general case that the action functional and the corresponding Hamiltonian equations of motion are invariant under the same quasigroup of local-symmetry transformations.

[ { "created": "Fri, 18 Apr 1997 18:20:45 GMT", "version": "v1" } ]

2007-05-23

[ [ "Chitaia", "N. P.", "" ], [ "Gogilidze", "S. A.", "" ], [ "Surovtsev", "Yu. S.", "" ] ]

In the framework of the generalized Hamiltonian formalism by Dirac, the local symmetries of dynamical systems with first- and second-class constraints are investigated in the general case without restrictions on the algebra of constraints. The method of constructing the generator of local-symmetry transformations is obtained from the requirement for them to map the solutions of the Hamiltonian equations of motion into the solutions of the same equations. It is proved that second-class constraints do not contribute to the transformation law of the local symmetry entirely stipulated by all the first-class constraints (and only by them) of an equivalent set passing to which from the initial constraint set is always possible and is presented. A mechanism of occurrence of higher derivatives of coordinates and group parameters in the symmetry transformation law in the Noether second theorem is elucidated. In the latter case it is shown that the obtained transformations of symmetry are canonical in the extended (by Ostrogradsky) phase space. It is thereby shown in the general case that the degeneracy of theories with the first- and second-class constraints is due to their invariance under local-symmetry transformations. It is also shown in the general case that the action functional and the corresponding Hamiltonian equations of motion are invariant under the same quasigroup of local-symmetry transformations.

8.060027

7.51019

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7.986217

8.028646

7.351343

8.026683

7.929922

7.708697

9.879734

7.7063

7.762893

8.229905

7.922696

7.875038

7.831595

7.812829

7.858322

7.918271

8.160421

7.760005

hep-th/0501166

Shinichi Deguchi

Shinichi Deguchi and Kazuo Fujikawa

Second quantized formulation of geometric phases

22 pages, 3 figures. The analysis in the manuscript has been made more precise by including a brief account of the hidden local gauge symmetry and by adding several new equations. This revised version is to be published in Phys. Rev. A

Phys.Rev. A72 (2005) 012111

10.1103/PhysRevA.72.012111

NUP-A-2005-2

hep-th cond-mat.other quant-ph

null

The level crossing problem and associated geometric terms are neatly formulated by the second quantized formulation. This formulation exhibits a hidden local gauge symmetry related to the arbitrariness of the phase choice of the complete orthonormal basis set. By using this second quantized formulation, which does not assume adiabatic approximation, a convenient exact formula for the geometric terms including off-diagonal geometric terms is derived. The analysis of geometric phases is then reduced to a simple diagonalization of the Hamiltonian, and it is analyzed both in the operator and path integral formulations. If one diagonalizes the geometric terms in the infinitesimal neighborhood of level crossing, the geometric phases become trivial (and thus no monopole singularity) for arbitrarily large but finite time interval $T$. The integrability of Schr\"{o}dinger equation and the appearance of the seemingly non-integrable phases are thus consistent. The topological proof of the Longuet-Higgins' phase-change rule, for example, fails in the practical Born-Oppenheimer approximation where a large but finite ratio of two time scales is involved and $T$ is identified with the period of the slower system. The difference and similarity between the geometric phases associated with level crossing and the exact topological object such as the Aharonov-Bohm phase become clear in the present formulation. A crucial difference between the quantum anomaly and the geometric phases is also noted.

[ { "created": "Thu, 20 Jan 2005 17:20:03 GMT", "version": "v1" }, { "created": "Fri, 6 May 2005 10:20:04 GMT", "version": "v2" } ]

2009-11-11

[ [ "Deguchi", "Shinichi", "" ], [ "Fujikawa", "Kazuo", "" ] ]

The level crossing problem and associated geometric terms are neatly formulated by the second quantized formulation. This formulation exhibits a hidden local gauge symmetry related to the arbitrariness of the phase choice of the complete orthonormal basis set. By using this second quantized formulation, which does not assume adiabatic approximation, a convenient exact formula for the geometric terms including off-diagonal geometric terms is derived. The analysis of geometric phases is then reduced to a simple diagonalization of the Hamiltonian, and it is analyzed both in the operator and path integral formulations. If one diagonalizes the geometric terms in the infinitesimal neighborhood of level crossing, the geometric phases become trivial (and thus no monopole singularity) for arbitrarily large but finite time interval $T$. The integrability of Schr\"{o}dinger equation and the appearance of the seemingly non-integrable phases are thus consistent. The topological proof of the Longuet-Higgins' phase-change rule, for example, fails in the practical Born-Oppenheimer approximation where a large but finite ratio of two time scales is involved and $T$ is identified with the period of the slower system. The difference and similarity between the geometric phases associated with level crossing and the exact topological object such as the Aharonov-Bohm phase become clear in the present formulation. A crucial difference between the quantum anomaly and the geometric phases is also noted.

13.163451

11.253778

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12.183981

11.777839

11.501553

11.877189

11.737123

11.720084

11.578243

12.239883

11.675085

2104.13391

Ioannis Papadimitriou

Ruben Minasian, Ioannis Papadimitriou, Piljin Yi

Anomalies and Supersymmetry

65 pages; v2: fixed minor typos and added references. Version to appear in PRD

null

10.1103/PhysRevD.105.065005

KIAS-P21011

hep-th

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

We revisit quantum field theory anomalies, emphasizing the interplay with diffeomorphisms and supersymmetry. The Ward identities of the latter induce Noether currents of all continuous symmetries, and we point out how these consistent currents are replaced by their covariant form through the appearance of the Bardeen-Zumino currents, which play a central role in our study. For supersymmetry Ward identities, two systematic methods for solving the Wess-Zumino consistency conditions are discussed: anomaly inflow and anomaly descent. The simplest inflows are from supersymmetric Chern-Simons actions in one dimension higher, which are used to supersymmetrize flavor anomalies in $d=4$ and, for $d=2$ $\mathcal{N}=(p,q)$, flavor anomalies with $p,q\leq 3$ and Lorentz-Weyl anomalies with $p,q\leq 6$. Finally, we extend the BRST algebra and the subsequent descent, a necessity for the diffeomorphism anomaly in retrospect. The same modification computes the supersymmetrized anomalies, and determines the above Chern-Simons actions when these exist.

[ { "created": "Tue, 27 Apr 2021 18:00:03 GMT", "version": "v1" }, { "created": "Mon, 28 Feb 2022 10:41:29 GMT", "version": "v2" } ]

2022-03-14

[ [ "Minasian", "Ruben", "" ], [ "Papadimitriou", "Ioannis", "" ], [ "Yi", "Piljin", "" ] ]

We revisit quantum field theory anomalies, emphasizing the interplay with diffeomorphisms and supersymmetry. The Ward identities of the latter induce Noether currents of all continuous symmetries, and we point out how these consistent currents are replaced by their covariant form through the appearance of the Bardeen-Zumino currents, which play a central role in our study. For supersymmetry Ward identities, two systematic methods for solving the Wess-Zumino consistency conditions are discussed: anomaly inflow and anomaly descent. The simplest inflows are from supersymmetric Chern-Simons actions in one dimension higher, which are used to supersymmetrize flavor anomalies in $d=4$ and, for $d=2$ $\mathcal{N}=(p,q)$, flavor anomalies with $p,q\leq 3$ and Lorentz-Weyl anomalies with $p,q\leq 6$. Finally, we extend the BRST algebra and the subsequent descent, a necessity for the diffeomorphism anomaly in retrospect. The same modification computes the supersymmetrized anomalies, and determines the above Chern-Simons actions when these exist.

11.261033

11.407561

12.509604

10.867757

12.069187

11.081038

11.680018

11.439369

10.802419

12.467743

11.200246

10.784982

11.337338

11.005323

11.068447

11.35058

11.201651

10.868048

11.063659

11.555441

10.814479

1303.2077

Alessandro Bravetti

Alessandro Bravetti, Davood Momeni, Ratbay Myrzakulov, Aziza Altaibayeva

Geometrothermodynamics of Myers-Perry black holes

Matches the published version

Advances in High Energy Physics, Volume 2013 (2013), Article ID 549808, 11 pages

10.1155/2013/549808

null

hep-th gr-qc

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

We consider the thermodynamics and Geometrothermodynamics of the Myers-Perry black holes in five dimensions for three different cases, depending on the values of the angular momenta. We follow Davies approach to study the thermodynamics of black holes and find a non-trivial thermodynamic structure in all cases, which is fully reproduced by the analysis performed with the techniques of Geometrothermodynamics. Moreover, we observe that in the cases when only one angular momentum is present or the two angular momenta are fixed to be equal, i.e. when the thermodynamic system is two dimensional, there is a complete agreement between the divergences of the generalized susceptibilities and the singularities of the equilibrium manifold, whereas when the two angular momenta are fully independent, that is, when the thermodynamic system is three dimensional, additional singularities in the curvature appear. However, we prove that such singularities are due to the changing from a stable phase to an unstable one.

[ { "created": "Fri, 8 Mar 2013 18:38:54 GMT", "version": "v1" }, { "created": "Sun, 30 Jun 2013 01:54:00 GMT", "version": "v2" } ]

2013-10-25

[ [ "Bravetti", "Alessandro", "" ], [ "Momeni", "Davood", "" ], [ "Myrzakulov", "Ratbay", "" ], [ "Altaibayeva", "Aziza", "" ] ]

We consider the thermodynamics and Geometrothermodynamics of the Myers-Perry black holes in five dimensions for three different cases, depending on the values of the angular momenta. We follow Davies approach to study the thermodynamics of black holes and find a non-trivial thermodynamic structure in all cases, which is fully reproduced by the analysis performed with the techniques of Geometrothermodynamics. Moreover, we observe that in the cases when only one angular momentum is present or the two angular momenta are fixed to be equal, i.e. when the thermodynamic system is two dimensional, there is a complete agreement between the divergences of the generalized susceptibilities and the singularities of the equilibrium manifold, whereas when the two angular momenta are fully independent, that is, when the thermodynamic system is three dimensional, additional singularities in the curvature appear. However, we prove that such singularities are due to the changing from a stable phase to an unstable one.

6.393859

6.613822

5.897493

5.885786

6.668293

6.431999

6.863925

6.27356

6.528436

6.444839

6.071311

6.293771

5.951282

5.890985

6.125784

6.159911

6.313546

5.979304

6.127432

5.94965

6.099822

1803.03676

Sridip Pal

Benjamin Grinstein and Sridip Pal

Existence and Construction of Galilean invariant $z\neq2$ Theories

7 pages and a little bit more; two column, 1 appendix

Phys. Rev. D 97, 125006 (2018)

10.1103/PhysRevD.97.125006

null

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

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

We prove a no-go theorem for the construction of a Galilean boost invariant and $z\neq2$ anisotropic scale invariant field theory with a finite dimensional basis of fields. Two point correlators in such theories, we show, grow unboundedly with spatial separation. Correlators of theories with an infinite dimensional basis of fields, for example, labeled by a continuous parameter, do not necessarily exhibit this bad behavior. Hence, such theories behave effectively as if in one extra dimension. Embedding the symmetry algebra into the conformal algebra of one higher dimension also reveals the existence of an internal continuous parameter. Consideration of isometries shows that the non-relativistic holographic picture assumes a canonical form, where the bulk gravitational theory lives in a space-time with one extra dimension. This can be contrasted with the original proposal by Balasubramanian and McGreevy, and by Son, where the metric of a $d+2$ dimensional space-time is proposed to be dual of a $d$ dimensional field theory. We provide explicit examples of theories living at fixed point with anisotropic scaling exponent $z=\frac{2\ell}{\ell+1}\,,\ell\in \mathbb{Z}$

[ { "created": "Fri, 9 Mar 2018 20:03:13 GMT", "version": "v1" }, { "created": "Tue, 12 Jun 2018 20:38:34 GMT", "version": "v2" } ]

2018-06-14

[ [ "Grinstein", "Benjamin", "" ], [ "Pal", "Sridip", "" ] ]

We prove a no-go theorem for the construction of a Galilean boost invariant and $z\neq2$ anisotropic scale invariant field theory with a finite dimensional basis of fields. Two point correlators in such theories, we show, grow unboundedly with spatial separation. Correlators of theories with an infinite dimensional basis of fields, for example, labeled by a continuous parameter, do not necessarily exhibit this bad behavior. Hence, such theories behave effectively as if in one extra dimension. Embedding the symmetry algebra into the conformal algebra of one higher dimension also reveals the existence of an internal continuous parameter. Consideration of isometries shows that the non-relativistic holographic picture assumes a canonical form, where the bulk gravitational theory lives in a space-time with one extra dimension. This can be contrasted with the original proposal by Balasubramanian and McGreevy, and by Son, where the metric of a $d+2$ dimensional space-time is proposed to be dual of a $d$ dimensional field theory. We provide explicit examples of theories living at fixed point with anisotropic scaling exponent $z=\frac{2\ell}{\ell+1}\,,\ell\in \mathbb{Z}$

9.41567

9.120165

9.956323

9.070114

9.663525

9.455888

9.739737

9.376096

8.976447

11.049899

9.19662

8.546339

9.703053

9.056606

8.8292

8.971376

9.13026

9.074224

8.675488

9.77758

8.914823

hep-th/9801071

Antonio Edson Goncalves

A.A. Bytsenko, A.E. Goncalves, S. Nojiri and S.D. Odintsov

Vacuum energy for the supersymmetric twisted D-brane in constant electromagnetic field

LaTeX, 10 pages

Class.Quant.Grav.15:1103-1110,1998

10.1088/0264-9381/15/5/003

Preprint NDA - FP - 39

hep-th

null

We calculate vacuum energy for twisted SUSY D-brane on toroidal background with constant magnetic or constant electric field. Its behaviour for toroidal D-brane (p=2) in constant electric field shows the presence of stable minimum for twisted versions of the theory. That indicates such a background maybe reasonable groundstate.

[ { "created": "Mon, 12 Jan 1998 21:54:42 GMT", "version": "v1" }, { "created": "Thu, 23 Apr 1998 19:42:25 GMT", "version": "v2" } ]

2009-09-17

[ [ "Bytsenko", "A. A.", "" ], [ "Goncalves", "A. E.", "" ], [ "Nojiri", "S.", "" ], [ "Odintsov", "S. D.", "" ] ]

We calculate vacuum energy for twisted SUSY D-brane on toroidal background with constant magnetic or constant electric field. Its behaviour for toroidal D-brane (p=2) in constant electric field shows the presence of stable minimum for twisted versions of the theory. That indicates such a background maybe reasonable groundstate.

38.916096

37.222088

40.435295

36.983128

36.973358

37.59433

40.067284

40.449478

31.650074

39.419735

34.585773

34.855995

37.222702

38.106148

35.644058

38.081581

35.523891

37.249645

35.388256

37.121872

34.340385

1406.0219

Dine Ousmane Samary

Dine Ousmane Samary, Emanonfi Elias N'Dolo and Mahouton Norbert Hounkonnou

Pair production of Dirac particles in a d+1-dimensional noncommutative space-time

12 pages

Eur. Phys. J. C, 74 11 (2014)

10.1140/epjc/s10052-014-3165-z

null

hep-th

http://creativecommons.org/licenses/publicdomain/

This work addresses the computation of the propability of fermionic particle pair production in $(d+1)-$ dimensional noncommutative Moyal space. Using the Seiberg-Witten maps that establish relations between noncommutative and commutative field variables, to first order in the noncommutative parameter $\theta$, we derive the probability density of vacuum-vacuum pair production of Dirac particles. The cases of constant electromagnetic, alternating time-dependent and space-dependent electric fields are considered and discussed.

[ { "created": "Mon, 2 Jun 2014 00:06:26 GMT", "version": "v1" }, { "created": "Thu, 10 Jul 2014 01:29:56 GMT", "version": "v2" }, { "created": "Sun, 20 Jul 2014 19:42:21 GMT", "version": "v3" }, { "created": "Mon, 16 Feb 2015 13:51:55 GMT", "version": "v4" } ]

2015-02-17

[ [ "Samary", "Dine Ousmane", "" ], [ "N'Dolo", "Emanonfi Elias", "" ], [ "Hounkonnou", "Mahouton Norbert", "" ] ]

This work addresses the computation of the propability of fermionic particle pair production in $(d+1)-$ dimensional noncommutative Moyal space. Using the Seiberg-Witten maps that establish relations between noncommutative and commutative field variables, to first order in the noncommutative parameter $\theta$, we derive the probability density of vacuum-vacuum pair production of Dirac particles. The cases of constant electromagnetic, alternating time-dependent and space-dependent electric fields are considered and discussed.

9.393717

9.693613

9.440216

7.700131

8.127446

8.453668

8.481138

8.74329

7.282812

9.652867

8.213777

8.272955

8.352144

8.005571

8.289337

8.002132

7.960279

8.322515

8.054711

8.473726

7.802648

1607.05141

Aidan Chatwin-Davies

Ning Bao, Adam Bouland, Aidan Chatwin-Davies, Jason Pollack, and Henry Yuen

Rescuing Complementarity With Little Drama

26 pages, 3 figures - v2: added references, small tweaks - v3: corrected typos to reflect final published version

null

10.1007/JHEP12(2016)026

CALT-TH-2016-017

hep-th gr-qc quant-ph

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

The AMPS paradox challenges black hole complementarity by apparently constructing a way for an observer to bring information from the outside of the black hole into its interior if there is no drama at its horizon, making manifest a violation of monogamy of entanglement. We propose a new resolution to the paradox: this violation cannot be explicitly checked by an infalling observer in the finite proper time they have to live after crossing the horizon. Our resolution depends on a weak relaxation of the no-drama condition (we call it "little drama") which is the "complementarity dual" of scrambling of information on the stretched horizon. When translated to the description of the black hole interior, this implies that the fine-grained quantum information of infalling matter is rapidly diffused across the entire interior while classical observables and coarse-grained geometry remain unaffected. Under the assumption that information has diffused throughout the interior, we consider the difficulty of the information-theoretic task that an observer must perform after crossing the event horizon of a Schwarzschild black hole in order to verify a violation of monogamy of entanglement. We find that the time required to complete a necessary subroutine of this task, namely the decoding of Bell pairs from the interior and the late radiation, takes longer than the maximum amount of time that an observer can spend inside the black hole before hitting the singularity. Therefore, an infalling observer cannot observe monogamy violation before encountering the singularity.

[ { "created": "Mon, 18 Jul 2016 15:50:16 GMT", "version": "v1" }, { "created": "Fri, 5 Aug 2016 20:40:40 GMT", "version": "v2" }, { "created": "Mon, 16 Jan 2017 20:51:58 GMT", "version": "v3" } ]

2017-01-18

[ [ "Bao", "Ning", "" ], [ "Bouland", "Adam", "" ], [ "Chatwin-Davies", "Aidan", "" ], [ "Pollack", "Jason", "" ], [ "Yuen", "Henry", "" ] ]

The AMPS paradox challenges black hole complementarity by apparently constructing a way for an observer to bring information from the outside of the black hole into its interior if there is no drama at its horizon, making manifest a violation of monogamy of entanglement. We propose a new resolution to the paradox: this violation cannot be explicitly checked by an infalling observer in the finite proper time they have to live after crossing the horizon. Our resolution depends on a weak relaxation of the no-drama condition (we call it "little drama") which is the "complementarity dual" of scrambling of information on the stretched horizon. When translated to the description of the black hole interior, this implies that the fine-grained quantum information of infalling matter is rapidly diffused across the entire interior while classical observables and coarse-grained geometry remain unaffected. Under the assumption that information has diffused throughout the interior, we consider the difficulty of the information-theoretic task that an observer must perform after crossing the event horizon of a Schwarzschild black hole in order to verify a violation of monogamy of entanglement. We find that the time required to complete a necessary subroutine of this task, namely the decoding of Bell pairs from the interior and the late radiation, takes longer than the maximum amount of time that an observer can spend inside the black hole before hitting the singularity. Therefore, an infalling observer cannot observe monogamy violation before encountering the singularity.

9.315669

9.034684

9.723931

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9.166878

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8.545052

8.752917

8.332927

8.666434

8.554951

8.800508

8.547554

8.585517

8.793851

8.471177

0903.4712

Fernando Izaurieta

Fernando Izaurieta, Alfredo P\'erez, Eduardo Rodr\'iguez, Patricio Salgado

Dual Formulation of the Lie Algebra S-expansion Procedure

12 pages, no figures

null

10.1063/1.3171923

null

hep-th math-ph math.MP

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

The expansion of a Lie algebra entails finding a new, bigger algebra G, through a series of well-defined steps, from an original Lie algebra g. One incarnation of the method, the so-called S-expansion, involves the use of a finite abelian semigroup S to accomplish this task. In this paper we put forward a dual formulation of the S-expansion method which is based on the dual picture of a Lie algebra given by the Maurer-Cartan forms. The dual version of the method is useful in finding a generalization to the case of a gauge free differential algebra, which in turn is relevant for physical applications in, e.g., Supergravity. It also sheds new light on the puzzling relation between two Chern-Simons Lagrangians for gravity in 2+1 dimensions, namely the Einstein-Hilbert Lagrangian and the one for the so-called "exotic gravity".

[ { "created": "Thu, 26 Mar 2009 22:33:04 GMT", "version": "v1" } ]

2015-05-13

[ [ "Izaurieta", "Fernando", "" ], [ "Pérez", "Alfredo", "" ], [ "Rodríguez", "Eduardo", "" ], [ "Salgado", "Patricio", "" ] ]

The expansion of a Lie algebra entails finding a new, bigger algebra G, through a series of well-defined steps, from an original Lie algebra g. One incarnation of the method, the so-called S-expansion, involves the use of a finite abelian semigroup S to accomplish this task. In this paper we put forward a dual formulation of the S-expansion method which is based on the dual picture of a Lie algebra given by the Maurer-Cartan forms. The dual version of the method is useful in finding a generalization to the case of a gauge free differential algebra, which in turn is relevant for physical applications in, e.g., Supergravity. It also sheds new light on the puzzling relation between two Chern-Simons Lagrangians for gravity in 2+1 dimensions, namely the Einstein-Hilbert Lagrangian and the one for the so-called "exotic gravity".

9.023822

9.099982

9.728595

8.832825

9.67358

8.576009

8.621638

8.493246

8.756348

10.303429

9.140616

9.003089

9.263845

8.878674

9.106398

9.214363

8.963389

9.263148

8.958949

9.759734

8.742381

2203.13264

Andrea Dei

Andrea Dei and Lorenz Eberhardt

String correlators on $\text{AdS}_3$: Analytic structure and dual CFT

33 pages

SciPost Phys. 13, 053 (2022)

10.21468/SciPostPhys.13.3.053

null

hep-th

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

We continue our study of string correlators on Euclidean $\text{AdS}_3$ with pure NS-NS flux. The worldsheet and spacetime correlators have a rich analytic structure, which we analyse completely for genus 0 four-point functions. We show that correlators exhibit a simple behaviour near their singularities. The spacetime correlators are meromorphic functions in the $\mathrm{SL}(2,\mathbb{R})$-spins, whose pole structure is shown to agree with the prediction of a recent proposal for the dual $\text{CFT}_2$. Moreover, we also compute the residues of the spacetime correlators for some of the poles exactly and find again a perfect match with the proposal for the dual $\text{CFT}_2$, thereby checking the duality for some non-trivial four-point functions exactly. Our computations simplify drastically in the tensionless limit of $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ where the behaviour near the poles gives in fact the exact answer. This paper is the third in a series with several installments.

[ { "created": "Thu, 24 Mar 2022 18:00:00 GMT", "version": "v1" }, { "created": "Mon, 25 Jul 2022 13:49:23 GMT", "version": "v2" } ]

2022-09-07

[ [ "Dei", "Andrea", "" ], [ "Eberhardt", "Lorenz", "" ] ]

We continue our study of string correlators on Euclidean $\text{AdS}_3$ with pure NS-NS flux. The worldsheet and spacetime correlators have a rich analytic structure, which we analyse completely for genus 0 four-point functions. We show that correlators exhibit a simple behaviour near their singularities. The spacetime correlators are meromorphic functions in the $\mathrm{SL}(2,\mathbb{R})$-spins, whose pole structure is shown to agree with the prediction of a recent proposal for the dual $\text{CFT}_2$. Moreover, we also compute the residues of the spacetime correlators for some of the poles exactly and find again a perfect match with the proposal for the dual $\text{CFT}_2$, thereby checking the duality for some non-trivial four-point functions exactly. Our computations simplify drastically in the tensionless limit of $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ where the behaviour near the poles gives in fact the exact answer. This paper is the third in a series with several installments.

7.4282

7.139225

8.059953

6.712144

6.9884

7.086718

6.742467

6.719686

6.837063

9.182321

6.640142

6.848562

7.536433

7.015677

7.150979

7.194898

7.111985

7.011624

6.857037

7.439566

6.919421

1203.4595

Jorge Nore\~na

Paolo Creminelli, Jorge Nore\~na, Marko Simonovi\'c

Conformal consistency relations for single-field inflation

26 pages, 1 figure. v2. Corrected typos, notably a sign error in eq. (54). Matches JCAP published version

null

10.1088/1475-7516/2012/07/052

null

hep-th astro-ph.CO gr-qc

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

We generalize the single-field consistency relations to capture not only the leading term in the squeezed limit---going as 1/q^3, where q is the small wavevector---but also the subleading one, going as 1/q^2. This term, for an (n+1)-point function, is fixed in terms of the variation of the n-point function under a special conformal transformation; this parallels the fact that the 1/q^3 term is related with the scale dependence of the n-point function. For the squeezed limit of the 3-point function, this conformal consistency relation implies that there are no terms going as 1/q^2. We verify that the squeezed limit of the 4-point function is related to the conformal variation of the 3-point function both in the case of canonical slow-roll inflation and in models with reduced speed of sound. In the second case the conformal consistency conditions capture, at the level of observables, the relation among operators induced by the non-linear realization of Lorentz invariance in the Lagrangian. These results mean that, in any single-field model, primordial correlation functions of \zeta are endowed with an SO(4,1) symmetry, with dilations and special conformal transformations non-linearly realized by \zeta. We also verify the conformal consistency relations for any n-point function in models with a modulation of the inflaton potential, where the scale dependence is not negligible. Finally, we generalize (some of) the consistency relations involving tensors and soft internal momenta.

[ { "created": "Tue, 20 Mar 2012 21:25:47 GMT", "version": "v1" }, { "created": "Tue, 24 Jul 2012 08:32:47 GMT", "version": "v2" } ]

2015-06-04

[ [ "Creminelli", "Paolo", "" ], [ "Noreña", "Jorge", "" ], [ "Simonović", "Marko", "" ] ]

We generalize the single-field consistency relations to capture not only the leading term in the squeezed limit---going as 1/q^3, where q is the small wavevector---but also the subleading one, going as 1/q^2. This term, for an (n+1)-point function, is fixed in terms of the variation of the n-point function under a special conformal transformation; this parallels the fact that the 1/q^3 term is related with the scale dependence of the n-point function. For the squeezed limit of the 3-point function, this conformal consistency relation implies that there are no terms going as 1/q^2. We verify that the squeezed limit of the 4-point function is related to the conformal variation of the 3-point function both in the case of canonical slow-roll inflation and in models with reduced speed of sound. In the second case the conformal consistency conditions capture, at the level of observables, the relation among operators induced by the non-linear realization of Lorentz invariance in the Lagrangian. These results mean that, in any single-field model, primordial correlation functions of \zeta are endowed with an SO(4,1) symmetry, with dilations and special conformal transformations non-linearly realized by \zeta. We also verify the conformal consistency relations for any n-point function in models with a modulation of the inflaton potential, where the scale dependence is not negligible. Finally, we generalize (some of) the consistency relations involving tensors and soft internal momenta.

6.476071

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7.61894

7.640551

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6.894986

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6.948942

6.624369

6.63589

6.7616

6.809556

6.825726

6.684743

7.120786

6.547781

1708.03648

Nikolay Gromov

Introduction to the Spectrum of N=4 SYM and the Quantum Spectral Curve

null

hep-th math-ph math.MP

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

This review is based on the lectures given by the author at the Les Houches Summer School 2016. It describes the recently developed Quantum Spectral Curve (QSC) for a non-perturbative planar spectrum of N=4 Super Yang-Mills theory in a pedagogical way starting from the harmonic oscillator and avoiding a long historical path. We give many examples and provide exercises. At the end we give a list of the recent and possible future applications of the QSC.

[ { "created": "Fri, 11 Aug 2017 18:11:32 GMT", "version": "v1" } ]

2017-08-15

[ [ "Gromov", "Nikolay", "" ] ]

This review is based on the lectures given by the author at the Les Houches Summer School 2016. It describes the recently developed Quantum Spectral Curve (QSC) for a non-perturbative planar spectrum of N=4 Super Yang-Mills theory in a pedagogical way starting from the harmonic oscillator and avoiding a long historical path. We give many examples and provide exercises. At the end we give a list of the recent and possible future applications of the QSC.

10.19118

9.756475

10.974188

8.573942

9.80396

9.581391

9.42627

8.649142

8.07331

10.73619

8.092989

8.111843

8.864703

8.255799

8.095404

8.560114

8.34252

8.216054

8.463491

8.75975

8.220283

1302.6737

Martin Cederwall

Non-gravitational exceptional supermultiplets

11 pp., plain tex

null

hep-th

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

We examine non-gravitational minimal supermultiplets which are based on the tensor gauge fields appearing as matter fields in exceptional generalised geometry. When possible, off-shell multiplets are given. The fields in the multiplets describe non-gravitational parts of the internal dynamics of compactifications of M-theory. In flat backgrounds, they enjoy a global U-duality symmetry, but also provide multiplets with a possibility of coupling to a generalised exceptional geometry.

[ { "created": "Wed, 27 Feb 2013 11:47:00 GMT", "version": "v1" }, { "created": "Thu, 28 Feb 2013 06:41:59 GMT", "version": "v2" } ]

2013-03-01

[ [ "Cederwall", "Martin", "" ] ]

We examine non-gravitational minimal supermultiplets which are based on the tensor gauge fields appearing as matter fields in exceptional generalised geometry. When possible, off-shell multiplets are given. The fields in the multiplets describe non-gravitational parts of the internal dynamics of compactifications of M-theory. In flat backgrounds, they enjoy a global U-duality symmetry, but also provide multiplets with a possibility of coupling to a generalised exceptional geometry.

19.264769

19.45257

22.143353

17.896006

18.641317

20.579077

19.373785

17.264986

17.54277

26.843822

16.805473

18.089878

19.864103

17.474203

18.647554

17.977125

18.724047

18.43051

18.136332

19.966921

17.412685

1005.2947

Gert Aarts

Gert Aarts, S. Prem Kumar and James Rafferty (Swansea U.)

Holographic Roberge-Weiss Transitions

37 pages, 13 figures; minor comments added, to appear in JHEP

JHEP 1007:056,2010

10.1007/JHEP07(2010)056

null

hep-th hep-lat

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

We investigate N=4 SYM coupled to fundamental flavours at nonzero imaginary quark chemical potential in the strong coupling and large N limit, using gauge/gravity duality applied to the D3-D7 system, treating flavours in the probe approximation. The interplay between Z(N) symmetry and the imaginary chemical potential yields a series of first-order Roberge-Weiss transitions. An additional thermal transition separates phases where quarks are bound/unbound into mesons. This results in a set of Roberge-Weiss endpoints: we establish that these are triple points, determine the Roberge-Weiss temperature, give the curvature of the phase boundaries and confirm that the theory is analytic in mu^2 when mu^2~0.

[ { "created": "Mon, 17 May 2010 15:06:26 GMT", "version": "v1" }, { "created": "Thu, 15 Jul 2010 11:09:55 GMT", "version": "v2" } ]

2015-03-17

[ [ "Aarts", "Gert", "", "Swansea U." ], [ "Kumar", "S. Prem", "", "Swansea U." ], [ "Rafferty", "James", "", "Swansea U." ] ]

We investigate N=4 SYM coupled to fundamental flavours at nonzero imaginary quark chemical potential in the strong coupling and large N limit, using gauge/gravity duality applied to the D3-D7 system, treating flavours in the probe approximation. The interplay between Z(N) symmetry and the imaginary chemical potential yields a series of first-order Roberge-Weiss transitions. An additional thermal transition separates phases where quarks are bound/unbound into mesons. This results in a set of Roberge-Weiss endpoints: we establish that these are triple points, determine the Roberge-Weiss temperature, give the curvature of the phase boundaries and confirm that the theory is analytic in mu^2 when mu^2~0.

10.75158

10.909189

11.345218

10.106823

11.196204

10.892282

10.761628

10.584929

10.435022

12.000669

10.62727

10.846931

10.837399

10.602084

10.427646

10.693523

10.512633

10.588559

10.383005

10.879577

10.708798

1004.3710

Dionisio Bazeia

D. Bazeia, E. da Hora, R. Menezes, H.P. de Oliveira, C. dos Santos

Compactlike kinks and vortices in generalized models

7 pages, 7 figures. Version to be published in PRD

Phys. Rev. D 81, 125016 (2010)

10.1103/PhysRevD.81.125016

null

hep-th hep-ph

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

This work deals with the presence of topological defects in k-field models, where the dynamics is generalized to include higher order power in the kinetic term. We investigate kinks in (1,1) dimensions and vortices in (2,1) dimensions, focusing on some specific features of the solutions. In particular, we show how the kinks and vortices change to compactlike solutions, controlled by the parameter used to introduce the generalized models.

[ { "created": "Wed, 21 Apr 2010 13:58:26 GMT", "version": "v1" }, { "created": "Wed, 9 Jun 2010 00:15:38 GMT", "version": "v2" } ]

2010-06-28

[ [ "Bazeia", "D.", "" ], [ "da Hora", "E.", "" ], [ "Menezes", "R.", "" ], [ "de Oliveira", "H. P.", "" ], [ "Santos", "C. dos", "" ] ]

This work deals with the presence of topological defects in k-field models, where the dynamics is generalized to include higher order power in the kinetic term. We investigate kinks in (1,1) dimensions and vortices in (2,1) dimensions, focusing on some specific features of the solutions. In particular, we show how the kinks and vortices change to compactlike solutions, controlled by the parameter used to introduce the generalized models.

11.351274

6.799869

11.14504

8.055173

6.891172

7.295222

7.220811

7.540554

8.169221

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10.867211

9.776114

10.052152

9.924529

9.822612

9.934745

9.85207

11.314027

9.824928

1306.3893

Dario Martelli

Dario Martelli and Achilleas Passias

The gravity dual of supersymmetric gauge theories on a two-parameter deformed three-sphere

27 pages, 1 figure; v2: typos fixed, minor changes, one reference added

null

10.1016/j.nuclphysb.2013.09.012

null

hep-th

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

We present rigid supersymmetric backgrounds for three-dimensional N=2 supersymmetric gauge theories, comprising a two-parameter U(1)xU(1)-invariant deformed three-sphere, and their gravity duals. These are described by supersymmetric solutions of four-dimensional N=2 gauged supergravity with a self-dual metric on the ball and different instantons for the graviphoton field. We find two types of solutions, distinguished by their holographic free energies. In one type the holographic free energy is constant, whereas in another type it depends in a simple way on the parameters and is generically complex. This leads to a conjecture for the localized partition function of a class of N=2 supersymmetric gauge theories on these backgrounds.

[ { "created": "Mon, 17 Jun 2013 15:24:21 GMT", "version": "v1" }, { "created": "Fri, 30 Aug 2013 16:43:23 GMT", "version": "v2" } ]

2015-06-16

[ [ "Martelli", "Dario", "" ], [ "Passias", "Achilleas", "" ] ]

We present rigid supersymmetric backgrounds for three-dimensional N=2 supersymmetric gauge theories, comprising a two-parameter U(1)xU(1)-invariant deformed three-sphere, and their gravity duals. These are described by supersymmetric solutions of four-dimensional N=2 gauged supergravity with a self-dual metric on the ball and different instantons for the graviphoton field. We find two types of solutions, distinguished by their holographic free energies. In one type the holographic free energy is constant, whereas in another type it depends in a simple way on the parameters and is generically complex. This leads to a conjecture for the localized partition function of a class of N=2 supersymmetric gauge theories on these backgrounds.

8.642877

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8.234082

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8.086443

8.471846

9.076935

8.311219

8.329216

8.46204

8.170236

8.255774

8.317996

9.269699

8.535388

1605.03906

Leonardo Modesto

Stefano Giaccari and Leonardo Modesto

Classical and Quantum Nonlocal Supergravity

29 pages

null

hep-th gr-qc hep-ph

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

We derive the N=1 supersymmetric extension for a class of weakly nonlocal four dimensional gravitational theories.The construction is explicitly done in the superspace and the tree-level perturbative unitarity is explicitly proved both in the superfield formalism and in field components. For the minimal nonlocal supergravity the spectrum is the same as in the local theory and in particular it is ghost-free. The supersymmetric extension of the super-renormalizable Starobinsky theory and of two alternative massive nonlocal supergravities are found as straightforward applications of the formalism. Power-counting arguments ensure super-renormalizability with milder requirement for the asymptotic behavior of form factors than in ordinary nonlocal gravity. The most noteworthy result, common to ordinary supergravity, is the absence of quantum corrections to the cosmological constant in any regularization procedure. We cannot exclude the usual one-loop quadratic divergences. However, local vertices in the superfields, not undergoing renormalization, can be introduced to cancel out such divergences. Therefore, quantum finiteness is certainly achieved in dimensional regularization and most likely also in the cut-off regularization scheme. We also discuss the n-point scattering amplitudes making use of a general field redefinition theorem implemented in the superspace. Finally, we show that all the exact solutions of the local supergravity in vacuum are solutions of the nonlocal one too. In particular, we have the usual Schwarzschild singularity. We infer that the weak nonlocality, even in the presence of minimal supersymmetry, is not sufficient to solve the spacetime singularities issue, although the theory is finite at quantum level.

[ { "created": "Thu, 12 May 2016 17:29:38 GMT", "version": "v1" } ]

2016-05-13

[ [ "Giaccari", "Stefano", "" ], [ "Modesto", "Leonardo", "" ] ]

We derive the N=1 supersymmetric extension for a class of weakly nonlocal four dimensional gravitational theories.The construction is explicitly done in the superspace and the tree-level perturbative unitarity is explicitly proved both in the superfield formalism and in field components. For the minimal nonlocal supergravity the spectrum is the same as in the local theory and in particular it is ghost-free. The supersymmetric extension of the super-renormalizable Starobinsky theory and of two alternative massive nonlocal supergravities are found as straightforward applications of the formalism. Power-counting arguments ensure super-renormalizability with milder requirement for the asymptotic behavior of form factors than in ordinary nonlocal gravity. The most noteworthy result, common to ordinary supergravity, is the absence of quantum corrections to the cosmological constant in any regularization procedure. We cannot exclude the usual one-loop quadratic divergences. However, local vertices in the superfields, not undergoing renormalization, can be introduced to cancel out such divergences. Therefore, quantum finiteness is certainly achieved in dimensional regularization and most likely also in the cut-off regularization scheme. We also discuss the n-point scattering amplitudes making use of a general field redefinition theorem implemented in the superspace. Finally, we show that all the exact solutions of the local supergravity in vacuum are solutions of the nonlocal one too. In particular, we have the usual Schwarzschild singularity. We infer that the weak nonlocality, even in the presence of minimal supersymmetry, is not sufficient to solve the spacetime singularities issue, although the theory is finite at quantum level.

10.851286

11.519504

10.899126

10.572228

11.147872

11.19008

11.586223

11.079133

10.892426

12.357692

10.522054

10.673993

10.577808

10.718114

10.707064

10.607869

10.394629

10.620325

10.593392

11.070197

10.398836

hep-th/9410072

null

Viqar Husain

The Affine symmetry of self-dual gravity

20 pages, RevTex, a few presentational changes - version to appear in J. Math. Phys

J.Math.Phys. 36 (1995) 6897-6906

10.1063/1.531197

Alberta-Thy-26-94

hep-th gr-qc

null

Self-dual gravity may be reformulated as the two dimensional principal chiral model with the group of area preserving diffeomorphisms as its gauge group. Using this formulation, it is shown that self-dual gravity contains an infinite dimensional hidden symmetry whose generators form the Affine (Kac-Moody) algebra associated with the Lie algebra of area preserving diffeomorphisms. This result provides an observable algebra and a solution generating technique for self-dual gravity.

[ { "created": "Mon, 10 Oct 1994 09:35:42 GMT", "version": "v1" }, { "created": "Mon, 14 Aug 1995 17:17:28 GMT", "version": "v2" } ]

2009-10-28

[ [ "Husain", "Viqar", "" ] ]

Self-dual gravity may be reformulated as the two dimensional principal chiral model with the group of area preserving diffeomorphisms as its gauge group. Using this formulation, it is shown that self-dual gravity contains an infinite dimensional hidden symmetry whose generators form the Affine (Kac-Moody) algebra associated with the Lie algebra of area preserving diffeomorphisms. This result provides an observable algebra and a solution generating technique for self-dual gravity.

6.442827

5.369705

5.58549

5.330684

5.239801

5.19168

4.966862

5.186094

5.168675

5.755162

5.583437

5.417886

5.726149

5.522399

5.579062

5.444304

5.39062

5.304931

5.477599

5.751481

5.622708

hep-th/9903204

Jorge Zanelli

Osvaldo Chandia, Ricardo Troncoso and Jorge Zanelli

Dynamical content of Chern-Simons Supergravity

15pages, RevTeX, no figures, one column. Talk given at the Second Meeting on Trends in Theoretical Physics, Buenos Aires, November 30-December 4, 1998

null

10.1063/1.59659

null

hep-th

null

The dynamical content of local AdS supergravity in five dimensions is discussed. The bosonic sector of the theory contains the vielbein ($e^{a}$), the spin connection ($\omega ^{ab}$) and internal SU(N) and U(1) gauge fields. The fermionic fields are complex Dirac spinors ($\psi ^{i}$) in a vector representation of SU(N). All fields together form a connection 1-form in the superalgebra SU(2,2|N). For N=4, the symplectic matrix has maximal rank in a locally AdS background in which the dynamical degrees of freedom can be identified. The resulting efective theory have different numbers of bosonic and fermionic degrees of freedom.

[ { "created": "Wed, 24 Mar 1999 02:31:21 GMT", "version": "v1" } ]

2009-10-31

[ [ "Chandia", "Osvaldo", "" ], [ "Troncoso", "Ricardo", "" ], [ "Zanelli", "Jorge", "" ] ]

The dynamical content of local AdS supergravity in five dimensions is discussed. The bosonic sector of the theory contains the vielbein ($e^{a}$), the spin connection ($\omega ^{ab}$) and internal SU(N) and U(1) gauge fields. The fermionic fields are complex Dirac spinors ($\psi ^{i}$) in a vector representation of SU(N). All fields together form a connection 1-form in the superalgebra SU(2,2|N). For N=4, the symplectic matrix has maximal rank in a locally AdS background in which the dynamical degrees of freedom can be identified. The resulting efective theory have different numbers of bosonic and fermionic degrees of freedom.

8.11163

7.870565

7.965692

7.560304

7.578883

7.289

7.267464

7.159488

7.543494

8.415687

7.662548

7.479839

7.522219

7.362968

7.424744

7.421355

7.26072

7.324289

7.275207

7.530015

7.457334

1509.07117

Oscar Varela

AdS$_4$ solutions of massive IIA from dyonic ISO(7) supergravity

30 pages; v2: a few typos corrected and reference added; v3: A few clarifications and reference added. Version published in JHEP03(2016)071

JHEP03(2016)071

10.1007/JHEP03(2016)071

null

hep-th gr-qc

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

Explicit formulae are given for the consistent truncation of massive type IIA supergravity on the six-sphere to the SU(3)--invariant sector of $D=4$ ${\cal N}=8$ supergravity with dyonic ISO(7) gauging. These formulae are then used to construct AdS$_4$ solutions of massive type IIA via uplift on $S^6$ of the critical points of the $D=4$ supergravity with at least SU(3) symmetry. We find a new ${\cal N}=1$ solution with SU(3) symmetry, a new non-supersymmetric solution with SO(6) symmetry, and recover previously known solutions. We quantise the fluxes, calculate the gravitational free energies of the solutions and discuss the stability of the non-supersymmetric ones. Among these, a (previously known) G$_2$--invariant solution is found to be stable.

[ { "created": "Wed, 23 Sep 2015 20:04:39 GMT", "version": "v1" }, { "created": "Wed, 13 Jan 2016 22:20:33 GMT", "version": "v2" }, { "created": "Mon, 18 Jul 2016 12:47:44 GMT", "version": "v3" } ]

2016-07-19

[ [ "Varela", "Oscar", "" ] ]

Explicit formulae are given for the consistent truncation of massive type IIA supergravity on the six-sphere to the SU(3)--invariant sector of $D=4$ ${\cal N}=8$ supergravity with dyonic ISO(7) gauging. These formulae are then used to construct AdS$_4$ solutions of massive type IIA via uplift on $S^6$ of the critical points of the $D=4$ supergravity with at least SU(3) symmetry. We find a new ${\cal N}=1$ solution with SU(3) symmetry, a new non-supersymmetric solution with SO(6) symmetry, and recover previously known solutions. We quantise the fluxes, calculate the gravitational free energies of the solutions and discuss the stability of the non-supersymmetric ones. Among these, a (previously known) G$_2$--invariant solution is found to be stable.

5.853861

4.901683

6.479637

5.231901

5.019839

5.042086

4.754982

4.994453

5.15716

6.889862

5.167899

5.704939

5.932234

5.4851

5.520492

5.510846

5.574496

5.700479

5.458299

5.838141

5.454367

hep-th/0007124

Jerome P. Gauntlett

Jerome P. Gauntlett, David Tong and Paul K. Townsend

Supersymmetric Intersecting Domain Walls in Massive Hyper-Kahler Sigma Models

14 pages, Latex. Various changes including the inclusion of an exact intersecting domain wall solution

Phys.Rev. D63 (2001) 085001

10.1103/PhysRevD.63.085001

QMW-PH-00-04, KCL-TH-00-36, DAMTP-2000-69

hep-th

null

The general scalar potential of D-dimensional massive sigma-models with eight supersymmetries is found for $D=3,4$. These sigma models typically admit 1/2 supersymmetric domain wall solutions and we find, for a particular hyper-K\"ahler target, exact 1/4 supersymmetric static solutions representing a non-trivial intersection of two domain walls. We also show that the intersecting domain walls can carry Noether charge while preserving 1/4 supersymmetry. We briefly discuss an application to the D1-D5 brane system.

[ { "created": "Sun, 16 Jul 2000 14:15:50 GMT", "version": "v1" }, { "created": "Wed, 6 Sep 2000 15:54:09 GMT", "version": "v2" } ]

2009-10-31

[ [ "Gauntlett", "Jerome P.", "" ], [ "Tong", "David", "" ], [ "Townsend", "Paul K.", "" ] ]

The general scalar potential of D-dimensional massive sigma-models with eight supersymmetries is found for $D=3,4$. These sigma models typically admit 1/2 supersymmetric domain wall solutions and we find, for a particular hyper-K\"ahler target, exact 1/4 supersymmetric static solutions representing a non-trivial intersection of two domain walls. We also show that the intersecting domain walls can carry Noether charge while preserving 1/4 supersymmetry. We briefly discuss an application to the D1-D5 brane system.

10.033463

8.496649

10.808569

8.547615

8.317943

8.892172

8.716738

8.587035

8.491187

11.054457

8.452042

8.577682

10.099837

9.094856

8.843894

9.117636

8.601836

8.797976

9.037194

9.551214

8.713551

hep-th/0507061

Leopoldo A. Pando Zayas

Leopoldo A. Pando Zayas and Diana Vaman

Condensing Momentum Modes in 2-d 0A String Theory with Flux

22 pages

JHEP 0701:004,2007

10.1088/1126-6708/2007/01/004

MCTP-05-84

hep-th

null

We use a combination of conformal perturbation theory techniques and matrix model results to study the effects of perturbing by momentum modes two dimensional type 0A strings with non-vanishing Ramond-Ramond (RR) flux. In the limit of large RR flux (equivalently, mu=0) we find an explicit analytic form of the genus zero partition function in terms of the RR flux $q$ and the momentum modes coupling constant alpha. The analyticity of the partition function enables us to go beyond the perturbative regime and, for alpha>> q, obtain the partition function in a background corresponding to the momentum modes condensation. For momenta such that 0<p<2 we find no obstruction to condensing the momentum modes in the phase diagram of the partition function.

[ { "created": "Wed, 6 Jul 2005 19:11:52 GMT", "version": "v1" } ]

2010-02-03

[ [ "Zayas", "Leopoldo A. Pando", "" ], [ "Vaman", "Diana", "" ] ]

We use a combination of conformal perturbation theory techniques and matrix model results to study the effects of perturbing by momentum modes two dimensional type 0A strings with non-vanishing Ramond-Ramond (RR) flux. In the limit of large RR flux (equivalently, mu=0) we find an explicit analytic form of the genus zero partition function in terms of the RR flux $q$ and the momentum modes coupling constant alpha. The analyticity of the partition function enables us to go beyond the perturbative regime and, for alpha>> q, obtain the partition function in a background corresponding to the momentum modes condensation. For momenta such that 0<p<2 we find no obstruction to condensing the momentum modes in the phase diagram of the partition function.

11.321674

9.752075

11.87673

9.76381

11.048686

10.99509

10.436159

10.678469

10.415795

13.238809

10.470744

10.247451

10.999034

9.748676

10.194663

10.492656

10.307364

10.335269

9.855905

10.721768

10.414755

1905.00287

Fabio Scardigli

The deformation parameter of the generalized uncertainty principle

12 pages, 1 figure. Presented at "DICE 2018", Castiglioncello, 2018

null

10.1088/1742-6596/1275/1/012004

null

hep-th gr-qc quant-ph

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

After a short introduction to the generalized uncertainty principle (GUP), we review some of the physical predictions of the GUP, and we focus in particular on the bounds that present experimental tests can put on the value of the deformation parameter $\beta$. We also describe a theoretical value computed for $\beta$, and comment on the vast parameter region still unexplored, and to be probed by future experiments.

[ { "created": "Sat, 27 Apr 2019 15:28:52 GMT", "version": "v1" } ]

2020-01-08

[ [ "Scardigli", "Fabio", "" ] ]

After a short introduction to the generalized uncertainty principle (GUP), we review some of the physical predictions of the GUP, and we focus in particular on the bounds that present experimental tests can put on the value of the deformation parameter $\beta$. We also describe a theoretical value computed for $\beta$, and comment on the vast parameter region still unexplored, and to be probed by future experiments.

10.033184

10.130946

7.383061

7.750519

6.823219

8.138792

10.252439

6.895811

8.100012

8.601992

8.25096

8.176269

8.222705

8.337535

8.074891

8.105636

8.739024

8.029386

8.700028

8.489189

8.26122

1101.2110

Pio J. Arias

P.J. Arias and F. A. Schaposnik

Self-dual formulations of d=3 gravity theories in the path-integral framework

26 pages. LaTeX. Minor changes. Published in Int. J Modern Phys. A; http://www.worldscinet.com/ijmpa

Int.J.Mod.Phys.A26:2437-2459,2011

10.1142/S0217751X11053377

null

hep-th gr-qc

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

We study the connection, at the quantum level, between d=2+1 dimensional self-dual models with actions of growing (from first to fourth) order, governing the dynamics of helicity +2 (or -2) massive excitations. We obtain identities between generating functionals of the different models using the path-integral framework, this allowing to establish dual maps among relevant vacuum expectation values. We check consistency of these v.e.v.'s with the gauge invariance gained in each mapping.

[ { "created": "Tue, 11 Jan 2011 12:26:05 GMT", "version": "v1" }, { "created": "Fri, 3 Jun 2011 22:18:45 GMT", "version": "v2" } ]

2011-06-07

[ [ "Arias", "P. J.", "" ], [ "Schaposnik", "F. A.", "" ] ]

We study the connection, at the quantum level, between d=2+1 dimensional self-dual models with actions of growing (from first to fourth) order, governing the dynamics of helicity +2 (or -2) massive excitations. We obtain identities between generating functionals of the different models using the path-integral framework, this allowing to establish dual maps among relevant vacuum expectation values. We check consistency of these v.e.v.'s with the gauge invariance gained in each mapping.

21.601288

20.843962

23.710114

19.089291

21.981022

21.394114

21.669088

19.131731

19.07007

22.755013

18.569111

20.516462

20.947931

20.283375

18.88434

19.947342

19.545027

20.100399

20.529781

20.457668

19.212479

1006.5317

Gor Sarkissian

Defects in G/H coset, G/G topological field theory and discrete Fourier-Mukai transform

29 pages, minor typos corrected, an appendix added, references added

Nucl.Phys.B846:338-357,2011

10.1016/j.nuclphysb.2011.01.013

null

hep-th

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

In this paper we construct defects in coset $G/H$ theory. Canonical quantization of the gauged WZW model $G/H$ with $N$ defects on a cylinder and a strip is performed and the symplectomorphisms between the corresponding phase spaces and those of double Chern-Simons theory on an annulus and a disc with Wilson lines are established. Special attention to topological coset $G/G$ has been paid. We prove that a $G/G$ theory on a cylinder with $N$ defects coincides with Chern-Simons theory on a torus times the time-line $R$ with 2N Wilson lines. We have shown also that a $G/G$ theory on a strip with $N$ defects coincides with Chern-Simons theory on a sphere times the time-line $R$ with $2N+4$ Wilson lines. This particular example of topological field theory enables us to penetrate into a general picture of defects in semisimple 2D topological field theory. We conjecture that defects in this case described by a 2-category of matrices of vector spaces and that the action of defects on boundary states is given by the discrete Fourier-Mukai transform.

[ { "created": "Mon, 28 Jun 2010 11:16:51 GMT", "version": "v1" }, { "created": "Wed, 22 Sep 2010 09:20:48 GMT", "version": "v2" }, { "created": "Mon, 8 Nov 2010 08:08:41 GMT", "version": "v3" }, { "created": "Mon, 17 Jan 2011 08:57:29 GMT", "version": "v4" }, { "created": "Tue, 1 Feb 2011 14:34:16 GMT", "version": "v5" } ]

2011-02-15

[ [ "Sarkissian", "Gor", "" ] ]

In this paper we construct defects in coset $G/H$ theory. Canonical quantization of the gauged WZW model $G/H$ with $N$ defects on a cylinder and a strip is performed and the symplectomorphisms between the corresponding phase spaces and those of double Chern-Simons theory on an annulus and a disc with Wilson lines are established. Special attention to topological coset $G/G$ has been paid. We prove that a $G/G$ theory on a cylinder with $N$ defects coincides with Chern-Simons theory on a torus times the time-line $R$ with 2N Wilson lines. We have shown also that a $G/G$ theory on a strip with $N$ defects coincides with Chern-Simons theory on a sphere times the time-line $R$ with $2N+4$ Wilson lines. This particular example of topological field theory enables us to penetrate into a general picture of defects in semisimple 2D topological field theory. We conjecture that defects in this case described by a 2-category of matrices of vector spaces and that the action of defects on boundary states is given by the discrete Fourier-Mukai transform.

6.837368

7.344201

7.742813

6.80477

7.416206

7.306648

7.696066

6.656429

6.785653

8.02528

6.888605

6.869786

7.218371

6.778386

6.974902

6.752315

6.855627

6.474521

6.93939

7.142716

6.687411

2106.14218

Di Wu

Di Wu, Shuang-Qing Wu

Ultra-spinning Chow's black holes in six-dimensional gauged supergravity and their properties

22 pages, 8 figures, 3 tables, match the published version of JHEP

JHEP 11 (2021) 031

10.1007/JHEP11(2021)031

null

hep-th gr-qc

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

By taking the ultra-spinning limit as a simple solution-generating trick, a novel class of ultra-spinning charged black hole solutions has been constructed from Chow's rotating charged black hole with two equal-charge parameters in six-dimensional $\mathcal{N} = 4$ gauged supergravity theory. We investigate their thermodynamical properties and then demonstrate that all thermodynamical quantities completely obey both the differential first law and the Bekenstein-Smarr mass formula. For the six-dimensional ultra-spinning Chow's black hole with only one rotation parameter, we show that it does not always obey the reverse isoperimetric inequality, thus it can be either sub-entropic or super-entropic, depending upon the ranges of the mass parameter and especially the charge parameter. This property is obviously different from that of the six-dimensional singly-rotating Kerr-AdS super-entropic black hole, which always strictly violates the RII. For the six-dimensional doubly-rotating Chow's black hole but ultra-spinning only along one spatial axis, we point out that it may also obey or violate the RII, and can be either super-entropic or sub-entropic in general.

[ { "created": "Sun, 27 Jun 2021 12:25:01 GMT", "version": "v1" }, { "created": "Mon, 23 Aug 2021 08:25:52 GMT", "version": "v2" }, { "created": "Sat, 6 Nov 2021 02:31:51 GMT", "version": "v3" } ]

2021-11-12

[ [ "Wu", "Di", "" ], [ "Wu", "Shuang-Qing", "" ] ]

By taking the ultra-spinning limit as a simple solution-generating trick, a novel class of ultra-spinning charged black hole solutions has been constructed from Chow's rotating charged black hole with two equal-charge parameters in six-dimensional $\mathcal{N} = 4$ gauged supergravity theory. We investigate their thermodynamical properties and then demonstrate that all thermodynamical quantities completely obey both the differential first law and the Bekenstein-Smarr mass formula. For the six-dimensional ultra-spinning Chow's black hole with only one rotation parameter, we show that it does not always obey the reverse isoperimetric inequality, thus it can be either sub-entropic or super-entropic, depending upon the ranges of the mass parameter and especially the charge parameter. This property is obviously different from that of the six-dimensional singly-rotating Kerr-AdS super-entropic black hole, which always strictly violates the RII. For the six-dimensional doubly-rotating Chow's black hole but ultra-spinning only along one spatial axis, we point out that it may also obey or violate the RII, and can be either super-entropic or sub-entropic in general.

8.727142

8.03651

7.634744

6.882523

8.65038

7.706135

7.632214

7.21334

7.103994

9.165299

7.610349

7.618805

7.754848

7.414765

7.713332

7.399396

7.71298

7.216906

7.554862

7.580076

7.387466

1805.01806

Yago Bea Besada

Yago Bea and David Mateos

Heating up Exotic RG Flows with Holography

19 pages, 17 figures

JHEP 08 (2018) 034

10.1007/JHEP08(2018)034

null

hep-th

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

We use holography to study finite-temperature deformations of RG flows that have exotic properties from an RG viewpoint. The holographic model consists of five-dimensional gravity coupled to a scalar field with a potential. Each negative extrema of the potential defines a dual conformal field theory. We find all the black brane solutions on the gravity side and use them to construct the thermal phase diagrams of the dual theories. We find an intricate phase structure that reflects and extends the exotic properties at zero temperature.

[ { "created": "Fri, 4 May 2018 14:44:53 GMT", "version": "v1" }, { "created": "Tue, 14 Apr 2020 11:39:01 GMT", "version": "v2" } ]

2020-04-15

[ [ "Bea", "Yago", "" ], [ "Mateos", "David", "" ] ]

We use holography to study finite-temperature deformations of RG flows that have exotic properties from an RG viewpoint. The holographic model consists of five-dimensional gravity coupled to a scalar field with a potential. Each negative extrema of the potential defines a dual conformal field theory. We find all the black brane solutions on the gravity side and use them to construct the thermal phase diagrams of the dual theories. We find an intricate phase structure that reflects and extends the exotic properties at zero temperature.

10.099973

8.484181

9.980288

8.360058

8.883352

9.29094

8.644877

8.498822

8.498575

9.919093

8.373846

9.052853

9.811112

8.702719

8.676749

8.977134

9.11803

8.6941

8.926973

10.078794

8.562966

hep-th/0410123

Akikazu Hashimoto

Akikazu Hashimoto and Keith Thomas

Dualities, Twists, and Gauge Theories with Non-Constant Non-Commutativity

18 pages, 1 figure, References added, typo corrected

JHEP 0501:033,2005

10.1088/1126-6708/2005/01/033

MAD-TH-04-11

hep-th

null

We study the world volume theory of D3-branes wrapping the Melvin universe supported by background NSNS B-field. In the appropriate decoupling limit, the open string dynamics is that of non-commutative guage field theory with non-constant non-commutativity. We identify this model as a simple Melvin twist of flat D3 branes. Along similar lines, one recognizes the model of Hashimoto and Sethi as being the Melvin null twist, and the model of Dolan and Nappi as being the null Melvin twist, of the flat D3-brane. This construction therefore offers a unified perspective on most of the known explicit constructions of non-commutative gauge theories as a decoupled theory of D-branes in a B-field background. We also describe the world volume theory on the D3-brane in Melvin universe which is decaying via the nucleation of monopole anti-monopole pair.

[ { "created": "Mon, 11 Oct 2004 19:25:02 GMT", "version": "v1" }, { "created": "Tue, 18 Jan 2005 17:00:33 GMT", "version": "v2" }, { "created": "Sat, 19 Nov 2005 21:00:51 GMT", "version": "v3" } ]

2010-02-03

[ [ "Hashimoto", "Akikazu", "" ], [ "Thomas", "Keith", "" ] ]

We study the world volume theory of D3-branes wrapping the Melvin universe supported by background NSNS B-field. In the appropriate decoupling limit, the open string dynamics is that of non-commutative guage field theory with non-constant non-commutativity. We identify this model as a simple Melvin twist of flat D3 branes. Along similar lines, one recognizes the model of Hashimoto and Sethi as being the Melvin null twist, and the model of Dolan and Nappi as being the null Melvin twist, of the flat D3-brane. This construction therefore offers a unified perspective on most of the known explicit constructions of non-commutative gauge theories as a decoupled theory of D-branes in a B-field background. We also describe the world volume theory on the D3-brane in Melvin universe which is decaying via the nucleation of monopole anti-monopole pair.

10.326474

8.976924

10.757065

8.972382

9.512175

9.462545

9.473288

9.092314

9.053425

13.492085

8.847372

9.53119

10.02055

9.315191

9.731515

9.097222

9.595444

9.23022

9.16935

10.334168

9.173718

1706.02668

Tarek Anous

Tarek Anous, Thomas Hartman, Antonin Rovai, Julian Sonner

From Conformal Blocks to Path Integrals in the Vaidya Geometry

23 pages, 8 figures

null

10.1007/JHEP09(2017)009

null

hep-th

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

Correlators in conformal field theory are naturally organized as a sum over conformal blocks. In holographic theories, this sum must reorganize into a path integral over bulk fields and geometries. We explore how these two sums are related in the case of a point particle moving in the background of a 3d collapsing black hole. The conformal block expansion is recast as a sum over paths of the first-quantized particle moving in the bulk geometry. Off-shell worldlines of the particle correspond to subdominant contributions in the Euclidean conformal block expansion, but these same operators must be included in order to correctly reproduce complex saddles in the Lorentzian theory. During thermalization, a complex saddle dominates under certain circumstances; in this case, the CFT correlator is not given by the Virasoro identity block in any channel, but can be recovered by summing heavy operators. This effectively converts the conformal block expansion in CFT from a sum over intermediate states to a sum over channels that mimics the bulk path integral.

[ { "created": "Thu, 8 Jun 2017 16:28:15 GMT", "version": "v1" } ]

2017-09-20

[ [ "Anous", "Tarek", "" ], [ "Hartman", "Thomas", "" ], [ "Rovai", "Antonin", "" ], [ "Sonner", "Julian", "" ] ]

Correlators in conformal field theory are naturally organized as a sum over conformal blocks. In holographic theories, this sum must reorganize into a path integral over bulk fields and geometries. We explore how these two sums are related in the case of a point particle moving in the background of a 3d collapsing black hole. The conformal block expansion is recast as a sum over paths of the first-quantized particle moving in the bulk geometry. Off-shell worldlines of the particle correspond to subdominant contributions in the Euclidean conformal block expansion, but these same operators must be included in order to correctly reproduce complex saddles in the Lorentzian theory. During thermalization, a complex saddle dominates under certain circumstances; in this case, the CFT correlator is not given by the Virasoro identity block in any channel, but can be recovered by summing heavy operators. This effectively converts the conformal block expansion in CFT from a sum over intermediate states to a sum over channels that mimics the bulk path integral.

8.468834

8.750858

9.267852

8.323334

9.419539

9.375231

9.24391

8.821032

8.517584

10.47955

8.448318

8.127809

8.542697

8.411242

8.346865

8.37456

8.352423

8.148415

8.174766

8.637716

8.164879

hep-th/9902061

Jiro Sakamoto

Jiro Sakamoto and Yasuaki Fukuoka

Bosonic Structure of a 2-Dimensional Fermion Model with Interaction among Different Species II -- N-species Case --

8 pages, no figure, ptptex

null

SU-HEP-S9901

hep-th

null

We study a massive Thirring-like model in 2-dimensional space-time, which contains fermions with arbitrary number (N) of different species. This model is an extension of that of a previous paper, where we have considered two-species case. By this extension we expect that we can expose more general structures of this kind of model. We obtain the equivalent boson model with N species to our fermion model. We find that the coupling constant must be set in some regions in order for the model to be physically sensible. It seems hard to find such regions from direct obsavation of the original fermion model. We also find that for specific values of the coupling constant some of the boson fields disappear from the system. Therefore, the N-species fermion model is described by the boson model with fewer species.

[ { "created": "Tue, 9 Feb 1999 05:32:40 GMT", "version": "v1" } ]

2007-05-23

[ [ "Sakamoto", "Jiro", "" ], [ "Fukuoka", "Yasuaki", "" ] ]

We study a massive Thirring-like model in 2-dimensional space-time, which contains fermions with arbitrary number (N) of different species. This model is an extension of that of a previous paper, where we have considered two-species case. By this extension we expect that we can expose more general structures of this kind of model. We obtain the equivalent boson model with N species to our fermion model. We find that the coupling constant must be set in some regions in order for the model to be physically sensible. It seems hard to find such regions from direct obsavation of the original fermion model. We also find that for specific values of the coupling constant some of the boson fields disappear from the system. Therefore, the N-species fermion model is described by the boson model with fewer species.

9.746687

10.003823

9.967533

9.357437

9.836068

9.782565

9.691926

9.578345

9.175262

9.950235

9.475129

9.574993

9.255731

9.423275

9.473303

9.539688

9.40348

9.339961

9.324148

9.432734

9.457109

1210.1816

Ellis Yuan

Ellis Ye Yuan

Virtual Color-Kinematics Duality: 6-pt 1-Loop MHV Amplitudes

minor changes, version submitted to JHEP

null

10.1007/JHEP05(2013)070

null

hep-th

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

We study 1-loop MHV amplitudes in N=4 super Yang-Mills theory and in N=8 supergravity. For Yang-Mills we find that the simple form for the full amplitude presented by Del Duca, Dixon and Maltoni naturally leads to one that has physical residues on all compact contours. After expanding the simple form in terms of standard scalar integrals, we introduce redundancies under certain symmetry considerations to impose the color-kinematics duality of Bern, Carrasco and Johansson (BCJ). For five particles we directly find the results of Carrasco and Johansson as well as a new compact form for the supergravity amplitude. For six particles we find that all kinematic dual Jacobi identities are encapsulated in a single functional equation relating the expansion coefficients. By the BCJ double-copy construction we obtain a formula for the corresponding N=8 supergravity amplitude. Quite surprisingly, all physical information becomes independent of the expansion coefficients modulo the functional equation. In other words, there is no need to solve the functional equation at all. This is quite welcome as the functional equation we find, using our restricted set of redundancies, actually has no solutions. For this reason we call these results virtual color-kinematics duality. We end with speculations about the meaning of an interesting global vs. local feature of the functional equation and the situation at higher points.

[ { "created": "Fri, 5 Oct 2012 17:17:59 GMT", "version": "v1" }, { "created": "Tue, 30 Apr 2013 18:02:22 GMT", "version": "v2" } ]

2013-05-23

[ [ "Yuan", "Ellis Ye", "" ] ]

We study 1-loop MHV amplitudes in N=4 super Yang-Mills theory and in N=8 supergravity. For Yang-Mills we find that the simple form for the full amplitude presented by Del Duca, Dixon and Maltoni naturally leads to one that has physical residues on all compact contours. After expanding the simple form in terms of standard scalar integrals, we introduce redundancies under certain symmetry considerations to impose the color-kinematics duality of Bern, Carrasco and Johansson (BCJ). For five particles we directly find the results of Carrasco and Johansson as well as a new compact form for the supergravity amplitude. For six particles we find that all kinematic dual Jacobi identities are encapsulated in a single functional equation relating the expansion coefficients. By the BCJ double-copy construction we obtain a formula for the corresponding N=8 supergravity amplitude. Quite surprisingly, all physical information becomes independent of the expansion coefficients modulo the functional equation. In other words, there is no need to solve the functional equation at all. This is quite welcome as the functional equation we find, using our restricted set of redundancies, actually has no solutions. For this reason we call these results virtual color-kinematics duality. We end with speculations about the meaning of an interesting global vs. local feature of the functional equation and the situation at higher points.

10.567013

11.008386

13.033333

10.750619

11.15865

10.91161

11.349027

11.517873

10.872889

12.368503

10.818925

10.692375

11.020379

10.484778

10.55588

10.207603

10.412864

10.63898

10.513899

11.239221

10.335299

hep-th/0209138

Mina Aganagic

Mina Aganagic and Cumrun Vafa

Perturbative Derivation of Mirror Symmetry

5 pages, harvmac

null

HUTP-02/A046

hep-th

null

We provide a purely perturbative (one loop) derivation of mirror symmetry for supersymmetric sigma models in two dimensions.

[ { "created": "Tue, 17 Sep 2002 19:13:05 GMT", "version": "v1" } ]

2007-05-23

[ [ "Aganagic", "Mina", "" ], [ "Vafa", "Cumrun", "" ] ]

We provide a purely perturbative (one loop) derivation of mirror symmetry for supersymmetric sigma models in two dimensions.

18.428555

8.585127

18.153456

9.628281

10.371928

8.372126

9.801317

9.729453

8.800016

15.336259

9.604504

12.08764

17.509066

11.740505

12.362631

12.295667

11.75347

12.10269

12.280019

15.880676

10.938683

1407.2005

Marcela Pel\~Aez

Marcela Pel\'aez, Matthieu Tissier and Nicol\'as Wschebor

Two-point correlation functions of QCD in the Landau gauge

10 pages, 13 figures

null

10.1103/PhysRevD.90.065031

null

hep-th hep-lat hep-ph

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

We investigate the gluon, ghost and quark propagators in the Landau gauge with dynamic quarks. We perform a one-loop calculation in a model where the standard Faddeev-Popov Lagrangian is complemented by a mass term for the gluons which is seen as a minimal way of taking into account the effect of the Gribov copies. The analytic results are compared with lattice data obtained in four dimension and for two, three and four quark flavors. The gluon and ghost propagators are reproduced with a few percent accuracy in the whole range of accessible momenta. The scalar part of the quark propagator is found to be in good agreement with the lattice data. However, the quark renormalization is poorly described. We attribute this discrepancy to the fact that the one-loop corrections to this quantity are unusually small so that the two loop contribution can not be discarded. The results are expressed in terms of the coupling, the gluon mass and the light quark mass at 1 GeV.

[ { "created": "Tue, 8 Jul 2014 09:11:24 GMT", "version": "v1" }, { "created": "Tue, 15 Jul 2014 22:42:45 GMT", "version": "v2" }, { "created": "Mon, 8 Sep 2014 14:49:06 GMT", "version": "v3" } ]

2016-08-08

[ [ "Peláez", "Marcela", "" ], [ "Tissier", "Matthieu", "" ], [ "Wschebor", "Nicolás", "" ] ]

We investigate the gluon, ghost and quark propagators in the Landau gauge with dynamic quarks. We perform a one-loop calculation in a model where the standard Faddeev-Popov Lagrangian is complemented by a mass term for the gluons which is seen as a minimal way of taking into account the effect of the Gribov copies. The analytic results are compared with lattice data obtained in four dimension and for two, three and four quark flavors. The gluon and ghost propagators are reproduced with a few percent accuracy in the whole range of accessible momenta. The scalar part of the quark propagator is found to be in good agreement with the lattice data. However, the quark renormalization is poorly described. We attribute this discrepancy to the fact that the one-loop corrections to this quantity are unusually small so that the two loop contribution can not be discarded. The results are expressed in terms of the coupling, the gluon mass and the light quark mass at 1 GeV.

5.62232

5.725593

5.773016

5.453668

5.688797

5.859253

5.370729

5.377849

5.621534

5.680167

5.394667

5.605786

5.369152

5.23017

5.530042

5.45637

5.441319

5.551239

5.35586

5.360159

5.377905

1006.1263

Aninda Sinha

Robert C. Myers, Aninda Sinha

Seeing a c-theorem with holography

5 pages, 1 figure, v2: minor changes

Phys.Rev.D82:046006,2010

10.1103/PhysRevD.82.046006

null

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

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

There is no known model in holography exhibiting a $c$-theorem where the central charges of the dual CFT are distinct. We examine a holographic model of RG flows in a framework where the bulk gravity theory contains higher curvature terms. The latter allows us to distinguish the flow of the central charges $a$ and $c$ in the dual field theories in four dimensions. One finds that the flow of $a$ is naturally monotonic but that of $c$ is not. Extending the analysis of holographic RG flows to higher dimensions, we are led to formulate a novel c-theorem in arbitrary dimensions for a universal coefficient appearing in the entanglement entropy of the fixed point CFT's.

[ { "created": "Mon, 7 Jun 2010 14:25:53 GMT", "version": "v1" }, { "created": "Tue, 22 Jun 2010 13:51:45 GMT", "version": "v2" } ]

2011-02-04

[ [ "Myers", "Robert C.", "" ], [ "Sinha", "Aninda", "" ] ]

There is no known model in holography exhibiting a $c$-theorem where the central charges of the dual CFT are distinct. We examine a holographic model of RG flows in a framework where the bulk gravity theory contains higher curvature terms. The latter allows us to distinguish the flow of the central charges $a$ and $c$ in the dual field theories in four dimensions. One finds that the flow of $a$ is naturally monotonic but that of $c$ is not. Extending the analysis of holographic RG flows to higher dimensions, we are led to formulate a novel c-theorem in arbitrary dimensions for a universal coefficient appearing in the entanglement entropy of the fixed point CFT's.

8.600739

7.913513

8.903984

7.941401

8.298038

7.56445

7.861044

7.853755

7.959978

9.979781

7.654257

7.814526

7.84178

7.8634

7.688959

7.818881

7.975512

7.754215

7.787784

7.964813

7.611003

2006.02022

Pedro D. S. Silva

Pedro D.S. Silva, Manoel M. Ferreira Jr., Marco Schreck, Luis F. Urrutia

Magnetic-conductivity effects on electromagnetic propagation in dispersive matter

19 pages, two columns, one table

Phys. Rev. D 102, 076001 (2020)

10.1103/PhysRevD.102.076001

null

hep-th cond-mat.other

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

The Chiral Magnetic Effect (CME) has been investigated as a new transport phenomenon in condensed matter. Such an effect appears in systems with chiral fermions and involves an electric current generated by a magnetic field by means of an "exotic" magnetic conductivity. This effect can also be connected with extensions of the usual Ohm's law either in magnetohydrodynamics or in Lorentz-violating scenarios. In this work, we study the classical propagation of electromagnetic waves in isotropic dispersive matter subject to a generalized Ohm's law. The latter involves currents linear in the magnetic field and implies scenarios inducing parity violation. We pay special attention to the case of a vanishing electric conductivity. For a diagonal magnetic conductivity, which includes the CME, the refractive index is modified such that it implies birefringence. For a nondiagonal magnetic conductivity, modified refractive indices exhibiting imaginary parts occur ascribing a conducting behavior to a usual dielectric medium. Our findings provide new insight into typical material properties associated with a magnetic conductivity.

[ { "created": "Wed, 3 Jun 2020 03:24:55 GMT", "version": "v1" }, { "created": "Fri, 2 Oct 2020 18:07:59 GMT", "version": "v2" } ]

2020-10-06

[ [ "Silva", "Pedro D. S.", "" ], [ "Ferreira", "Manoel M.", "Jr." ], [ "Schreck", "Marco", "" ], [ "Urrutia", "Luis F.", "" ] ]

The Chiral Magnetic Effect (CME) has been investigated as a new transport phenomenon in condensed matter. Such an effect appears in systems with chiral fermions and involves an electric current generated by a magnetic field by means of an "exotic" magnetic conductivity. This effect can also be connected with extensions of the usual Ohm's law either in magnetohydrodynamics or in Lorentz-violating scenarios. In this work, we study the classical propagation of electromagnetic waves in isotropic dispersive matter subject to a generalized Ohm's law. The latter involves currents linear in the magnetic field and implies scenarios inducing parity violation. We pay special attention to the case of a vanishing electric conductivity. For a diagonal magnetic conductivity, which includes the CME, the refractive index is modified such that it implies birefringence. For a nondiagonal magnetic conductivity, modified refractive indices exhibiting imaginary parts occur ascribing a conducting behavior to a usual dielectric medium. Our findings provide new insight into typical material properties associated with a magnetic conductivity.

11.345523

12.65267

12.189075

12.012997

12.521943

12.372673

12.08522

12.23077

11.722315

13.349779

12.10648

10.995084

11.01504

10.951015

10.851614

10.977917

11.245823

10.938667

11.027925

11.058957

11.06294

1609.01667

Jens Mund

Jens Mund, Erichardson T. de Oliveira

String-localized free vector and tensor potentials for massive particles with any spin: I. Bosons

38 pages. Minor modifications; references added

null

10.1007/s00220-017-2968-9

null

hep-th math-ph math.MP

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

It is well-known that a (point-localized) free quantum field for massive particles with spin $s$ acting in a Hilbert space has at best scaling dimension $s+1$, which excludes its use in the perturbative construction of renormalizable interacting models for higher spin ($s\geq 1$). Up to date, such models have been constructed only in the context of gauge theory, at the cost of introducing additional unphysical (ghost) fields and an unphysical (indefinite metric) state space. The unphysical degrees of freedom are divided out by requiring gauge (or BRST) invariance. We construct free quantum fields for higher spin particles which have the same good UV behaviour as the scalar field (scaling dimension one), and at the same time act on a Hilbert space without ghosts. They are localized on semi-infinite strings extending to space-like infinity, but are linearly related to their point-local counterparts. We argue that this is sufficient locality for a perturbative construction of interacting models of the gauge theory type, with a string-independent S-matrix and point-localized interacting observable fields. The usual principle of gauge-invariance is here replaced by the (deeper) principle of locality.

[ { "created": "Tue, 6 Sep 2016 17:39:36 GMT", "version": "v1" }, { "created": "Wed, 28 Sep 2016 12:55:36 GMT", "version": "v2" } ]

2017-09-13

[ [ "Mund", "Jens", "" ], [ "de Oliveira", "Erichardson T.", "" ] ]

It is well-known that a (point-localized) free quantum field for massive particles with spin $s$ acting in a Hilbert space has at best scaling dimension $s+1$, which excludes its use in the perturbative construction of renormalizable interacting models for higher spin ($s\geq 1$). Up to date, such models have been constructed only in the context of gauge theory, at the cost of introducing additional unphysical (ghost) fields and an unphysical (indefinite metric) state space. The unphysical degrees of freedom are divided out by requiring gauge (or BRST) invariance. We construct free quantum fields for higher spin particles which have the same good UV behaviour as the scalar field (scaling dimension one), and at the same time act on a Hilbert space without ghosts. They are localized on semi-infinite strings extending to space-like infinity, but are linearly related to their point-local counterparts. We argue that this is sufficient locality for a perturbative construction of interacting models of the gauge theory type, with a string-independent S-matrix and point-localized interacting observable fields. The usual principle of gauge-invariance is here replaced by the (deeper) principle of locality.

9.188399

10.163173

10.278446

9.345525

9.869192

10.00102

9.856165

9.467758

9.763265

10.794666

9.223556

9.064998

9.05733

8.898751

9.54038

9.319723

9.0376

9.289137

9.128303

9.275362

8.993773

hep-th/0004113

Konstantin G. Savvidy

Konstantin G. Savvidy (The Niels Bohr Institute)

The Discrete Bound State Spectrum of the Rotating D0-brane System

Added references, expanded discussion, Latex2e, 14 pages

null

NBI-HE-00-20

hep-th

null

In this note we obtain the discrete spectrum of the rotating ellipsoidal membrane, the solution to classical equations of motion in the matrix mechanics of N D0-branes. This solution has the interpretation of a closed D2-brane with the D0-branes bound to its surface. The semi-classical quantization is performed on the rotational modes with the result that both radii and energy are quantized. We also argue that the quantum mechanics of this system is well defined, with a unique ground state of positive energy in each sector with a non-zero angular momentum. The scaling of the size and energy of these states allows us to identify our rotating brane excited states with the previously conjectured resonances in the scattering of D0-branes.

[ { "created": "Fri, 14 Apr 2000 23:04:29 GMT", "version": "v1" }, { "created": "Fri, 21 Jul 2000 11:51:34 GMT", "version": "v2" } ]

2007-05-23

[ [ "Savvidy", "Konstantin G.", "", "The Niels Bohr Institute" ] ]

In this note we obtain the discrete spectrum of the rotating ellipsoidal membrane, the solution to classical equations of motion in the matrix mechanics of N D0-branes. This solution has the interpretation of a closed D2-brane with the D0-branes bound to its surface. The semi-classical quantization is performed on the rotational modes with the result that both radii and energy are quantized. We also argue that the quantum mechanics of this system is well defined, with a unique ground state of positive energy in each sector with a non-zero angular momentum. The scaling of the size and energy of these states allows us to identify our rotating brane excited states with the previously conjectured resonances in the scattering of D0-branes.

13.254527

10.323598

13.091549

9.742689

10.550845

10.889266

10.479518

9.934593

10.42638

12.535934

10.573048

10.189103

10.886807

10.488975

10.018661

10.315078

10.12793

10.232417

10.104599

11.196054

10.259724

hep-th/9302120

null

Alan Kostelecky and Malcolm Perry

Condensates and Singularities in String Theory

20 pages, DAMTP-R92-40, IUHET 242

Nucl.Phys.B414:174-190,1994

10.1016/0550-3213(94)90427-8

null

hep-th

null

We derive a class of solutions to the string sigma-model equations for the closed bosonic string. The tachyon field is taken to form a constant condensate and the beta-function equations at one-loop level are solved for the evolution of the metric and the dilaton. The solutions represent critical string theories in arbitrary dimensions. The spectrum of the subclass of models with a linearly rising asymptotic dilaton is found using the Feigin-Fuks method. Certain approximate solutions arising in string field theory are used to illustrate the results explicitly. An argument based on conformal invariance leads to the conjecture that that stringy corrections to at least some singular spacetimes in general relativity result in non-singular metrics. We use the singularities of the big-bang/crunch type appearing in our models to examine this conjecture.

[ { "created": "Wed, 24 Feb 1993 20:39:25 GMT", "version": "v1" } ]

2009-09-25

[ [ "Kostelecky", "Alan", "" ], [ "Perry", "Malcolm", "" ] ]

We derive a class of solutions to the string sigma-model equations for the closed bosonic string. The tachyon field is taken to form a constant condensate and the beta-function equations at one-loop level are solved for the evolution of the metric and the dilaton. The solutions represent critical string theories in arbitrary dimensions. The spectrum of the subclass of models with a linearly rising asymptotic dilaton is found using the Feigin-Fuks method. Certain approximate solutions arising in string field theory are used to illustrate the results explicitly. An argument based on conformal invariance leads to the conjecture that that stringy corrections to at least some singular spacetimes in general relativity result in non-singular metrics. We use the singularities of the big-bang/crunch type appearing in our models to examine this conjecture.

12.61452

12.661533

12.789585

11.86637

11.977551

12.657057

12.983836

11.696554

12.293005

14.281788

12.091878

12.316771

12.256865

11.91551

11.930645

12.058168

12.063684

12.345143

12.248457

12.410114

12.17966

hep-th/9202047

Daniel Altschuler

Daniel Altschuler and Antoine Coste

Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory

30 pages

Commun.Math.Phys. 150 (1992) 83-108

10.1007/BF02096567

null

hep-th math.QA

null

We show how to construct, starting from a quasi-Hopf algebra, or quasi-quantum group, invariants of knots and links. In some cases, these invariants give rise to invariants of the three-manifolds obtained by surgery along these links. This happens for a finite-dimensional quasi-quantum group, whose definition involves a finite group $G$, and a 3-cocycle $\om$, which was first studied by Dijkgraaf, Pasquier and Roche. We treat this example in more detail, and argue that in this case the invariants agree with the partition function of the topological field theory of Dijkgraaf and Witten depending on the same data $G, \,\om$.

[ { "created": "Fri, 14 Feb 1992 16:03:16 GMT", "version": "v1" } ]

2009-10-22

[ [ "Altschuler", "Daniel", "" ], [ "Coste", "Antoine", "" ] ]

We show how to construct, starting from a quasi-Hopf algebra, or quasi-quantum group, invariants of knots and links. In some cases, these invariants give rise to invariants of the three-manifolds obtained by surgery along these links. This happens for a finite-dimensional quasi-quantum group, whose definition involves a finite group $G$, and a 3-cocycle $\om$, which was first studied by Dijkgraaf, Pasquier and Roche. We treat this example in more detail, and argue that in this case the invariants agree with the partition function of the topological field theory of Dijkgraaf and Witten depending on the same data $G, \,\om$.

6.598975

7.192875

7.600263

6.451931

6.86375

7.125278

7.242957

6.983659

7.331446

8.25777

6.644569

6.392316

6.578928

6.424026

6.606359

6.269691

6.420686

6.293887

6.354447

6.455995

6.227472

hep-th/0202011

Fernando Ruiz

F. Ruiz Ruiz

UV/IR mixing and the Goldstone theorem in noncommutative field theory

30 pages, 7 eps figures. V2: references added

Nucl.Phys. B637 (2002) 143-167

10.1016/S0550-3213(02)00447-9

UCM-FT/2002-13-0

hep-th

null

Noncommutative IR singularities and UV/IR mixing in relation with the Goldstone theorem for complex scalar field theory are investigated. The classical model has two coupling constants, $\lambda_1$ and $\lambda_2$, associated to the two noncommutative extensions $\phi^*\star\phi\star\phi^*\star\phi$ and $\phi^*\star\phi^*\star\phi\star\phi$ of the interaction term $|\phi|^4$ on commutative spacetime. It is shown that the symmetric phase is one-loop renormalizable for all $\lambda_1$ and $\lambda_2$ compatible with perturbation theory, whereas the broken phase is proved to exist at one loop only if $\lambda_2=0$, a condition required by the Ward identities for global U(1) invariance. Explicit expressions for the noncommutative IR singularities in the 1PI Green functions of both phases are given. They show that UV/IR duality does not hold for any of the phases and that the broken phase is free of quadratic noncommutative IR singularities. More remarkably, the pion selfenergy does not have noncommutative IR singularities at all, which proves essential to formulate the Goldstone theorem at one loop for all values of the spacetime noncommutativity parameter $\theta$.

[ { "created": "Fri, 1 Feb 2002 19:09:23 GMT", "version": "v1" }, { "created": "Mon, 27 May 2002 09:49:18 GMT", "version": "v2" } ]

2009-11-07

[ [ "Ruiz", "F. Ruiz", "" ] ]

Noncommutative IR singularities and UV/IR mixing in relation with the Goldstone theorem for complex scalar field theory are investigated. The classical model has two coupling constants, $\lambda_1$ and $\lambda_2$, associated to the two noncommutative extensions $\phi^*\star\phi\star\phi^*\star\phi$ and $\phi^*\star\phi^*\star\phi\star\phi$ of the interaction term $|\phi|^4$ on commutative spacetime. It is shown that the symmetric phase is one-loop renormalizable for all $\lambda_1$ and $\lambda_2$ compatible with perturbation theory, whereas the broken phase is proved to exist at one loop only if $\lambda_2=0$, a condition required by the Ward identities for global U(1) invariance. Explicit expressions for the noncommutative IR singularities in the 1PI Green functions of both phases are given. They show that UV/IR duality does not hold for any of the phases and that the broken phase is free of quadratic noncommutative IR singularities. More remarkably, the pion selfenergy does not have noncommutative IR singularities at all, which proves essential to formulate the Goldstone theorem at one loop for all values of the spacetime noncommutativity parameter $\theta$.

5.339476

5.340636

5.299496

5.091988

5.181689

5.272137

5.075235

4.871986

5.069881

5.82503

4.823873

4.922196

5.137299

4.905626

4.972862

5.006573

5.040126

4.8802

4.913901

5.187876

4.845816

hep-th/0606030

Akihiro Tsuji

Holography of Two-point Functions in the Spinning String/Spin Chain Correspondence

16 pages

Prog.Theor.Phys.117:557-568,2007

10.1143/PTP.117.557

null

hep-th

null

We study the holographic principle of the two-point function in the case of a spinning string in the AdS/CFT correspondence. Following the general method proposed by Yoneya et al. for the bulk-boundary correspondence in the large $J$ limit, we study the spinning string solution which starts and ends at the boundary. We then show that the spinning string solution directly gives a two-point function that is consistent with the spin chain picture in gauge theory.

[ { "created": "Mon, 5 Jun 2006 07:34:38 GMT", "version": "v1" }, { "created": "Tue, 27 Mar 2007 05:29:52 GMT", "version": "v2" } ]

2008-11-26

[ [ "Tsuji", "Akihiro", "" ] ]

We study the holographic principle of the two-point function in the case of a spinning string in the AdS/CFT correspondence. Following the general method proposed by Yoneya et al. for the bulk-boundary correspondence in the large $J$ limit, we study the spinning string solution which starts and ends at the boundary. We then show that the spinning string solution directly gives a two-point function that is consistent with the spin chain picture in gauge theory.

9.862415

8.96009

10.272906

8.224669

8.375236

7.826419

8.430608

8.474605

7.927826

10.026308

8.399117

8.975108

9.851748

8.605005

8.656855

8.348575

8.94269

9.081259

8.952229

10.086207

8.697396

0808.0360

David Kutasov

Amit Giveon, David Kutasov

Seiberg Duality in Chern-Simons Theory

13 pages, 4 figures, harvmac

Nucl.Phys.B812:1-11,2009

10.1016/j.nuclphysb.2008.09.045

null

hep-th

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

We argue that N=2 supersymmetric Chern-Simons theories exhibit a strong-weak coupling Seiberg-type duality. We also discuss supersymmetry breaking in these theories.

[ { "created": "Mon, 4 Aug 2008 14:57:42 GMT", "version": "v1" } ]

2009-02-12

[ [ "Giveon", "Amit", "" ], [ "Kutasov", "David", "" ] ]

We argue that N=2 supersymmetric Chern-Simons theories exhibit a strong-weak coupling Seiberg-type duality. We also discuss supersymmetry breaking in these theories.

8.365088

6.161379

7.74237

6.437774

6.482865

6.292924

6.403697

6.295923

6.251554

8.714163

5.63629

6.438795

7.641897

6.536954

6.783441

6.488269

6.342701

6.224825

6.616283

7.237141

6.431491

1701.00461

Shuai Zhao

Ji Xu and Shuai Zhao

Boson-Fermion Duality from Discontinuous Gauge Symmetry

7 pages, 3 figures

null

hep-th quant-ph

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

By extending local U(1) gauge symmetry to discontinuous case, we find that under one special discontinuous U(1) gauge transformation the symmetric and antisymmetric wave functions can transform into each other in one dimensional quantum mechanics. The free spinless fermionic system and bosonic system with $\delta$-type vector gauge potential are proved to be equivalent. The relation also holds in higher space-time dimensions.

[ { "created": "Wed, 28 Dec 2016 10:35:59 GMT", "version": "v1" } ]

2017-01-03

[ [ "Xu", "Ji", "" ], [ "Zhao", "Shuai", "" ] ]

By extending local U(1) gauge symmetry to discontinuous case, we find that under one special discontinuous U(1) gauge transformation the symmetric and antisymmetric wave functions can transform into each other in one dimensional quantum mechanics. The free spinless fermionic system and bosonic system with $\delta$-type vector gauge potential are proved to be equivalent. The relation also holds in higher space-time dimensions.

15.480229

14.528272

14.310692

13.459773

15.856558

16.088102

14.315231

14.15073

12.833586

14.223022

14.875895

12.606326

12.725204

11.952379

12.296396

12.129937

12.762549

12.382687

12.34706

12.784107

12.251994

1306.2996

Rafael Montemayor

J. M. Lorenzi, R. Montemayor and L. F. Urrutia

A Five Dimensional Perspective on Many Particles in the Snyder basis of Double Special Relativity

12 pages, no figures, AIP Conf. Proc

null

10.1063/1.4810777

null

hep-th

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

After a brief summary of Double Special Relativity (DSR), we concentrate on a five dimensional procedure, which consistently introduce coordinates and momenta in the corresponding four-dimensional phase space, via a Hamiltonian approach. For the one particle case, the starting point is a de Sitter momentum space in five dimensions, with an additional constraint selected to recover the mass shell condition in four dimensions. Different basis of DSR can be recovered by selecting specific gauges to define the reduced four dimensional degrees of freedom. This is shown for the Snyder basis in the one particle case. We generalize the method to the many particles case and apply it again to this basis. We show that the energy and momentum of the system, given by the dynamical variables that are generators of translations in space and time and which close the Poincar\'e algebra, are additive magnitudes. From this it results that the rest energy (mass) of a composite object does not have an upper limit, as opposed to a single component particle which does.

[ { "created": "Thu, 13 Jun 2013 00:00:28 GMT", "version": "v1" } ]

2015-06-16

[ [ "Lorenzi", "J. M.", "" ], [ "Montemayor", "R.", "" ], [ "Urrutia", "L. F.", "" ] ]

After a brief summary of Double Special Relativity (DSR), we concentrate on a five dimensional procedure, which consistently introduce coordinates and momenta in the corresponding four-dimensional phase space, via a Hamiltonian approach. For the one particle case, the starting point is a de Sitter momentum space in five dimensions, with an additional constraint selected to recover the mass shell condition in four dimensions. Different basis of DSR can be recovered by selecting specific gauges to define the reduced four dimensional degrees of freedom. This is shown for the Snyder basis in the one particle case. We generalize the method to the many particles case and apply it again to this basis. We show that the energy and momentum of the system, given by the dynamical variables that are generators of translations in space and time and which close the Poincar\'e algebra, are additive magnitudes. From this it results that the rest energy (mass) of a composite object does not have an upper limit, as opposed to a single component particle which does.

14.055379

13.001127

13.437912

12.643358

14.529181

13.542868

14.422599

12.453845

13.056298

14.556833

12.739314

12.625116

12.862235

12.773711

12.587039

12.681715

12.775131

12.581543

13.190937

13.154622

12.802695

hep-th/0511037

Steven Weinberg

Living in the Multiverse

13 pages

null

UTTG-12-05

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

null

This is the written version of the opening talk at the symposium "Expectations of a Final Theory," at Trinity College, Cambridge, on September 2, 2005. It is to be published in Universe or Multiverse?, ed. B. Carr (Cambridge University Press).

[ { "created": "Thu, 3 Nov 2005 11:13:54 GMT", "version": "v1" } ]

2007-05-23

[ [ "Weinberg", "Steven", "" ] ]

This is the written version of the opening talk at the symposium "Expectations of a Final Theory," at Trinity College, Cambridge, on September 2, 2005. It is to be published in Universe or Multiverse?, ed. B. Carr (Cambridge University Press).

7.781633

8.224417

6.999157

6.287709

7.413339

7.714794

7.535878

7.160752

7.498195

8.237535

6.19382

5.752896

6.768886

6.064885

6.203929

5.899285

6.749617

5.942163

6.300179

6.567422

6.287843

hep-th/9412144

Yuji Satoh

Ikuo Ichinose and Yuji Satoh

Entropies of Scalar Fields on Three Dimensional Black Holes

35 pages, Latex, 1 figure, postscript file attached at the end

Nucl.Phys.B447:340-372,1995

10.1016/0550-3213(95)00197-Z

UT-Komaba 94-23

hep-th gr-qc

null

Thermodynamics of scalar fields is investigated in three dimensional black hole backgrounds in two approaches. One is mode expansion and direct computation of the partition sum, and the other is the Euclidean path integral approach. We obtain a number of exact results, for example, mode functions, Hartle-Hawking Green functions on the black holes, Green functions on a cone geometry, free energies and entropies. They constitute reliable bases for the thermodynamics of scalar fields. It is shown that thermodynamic quantities largely depend upon the approach to calculate them, boundary conditions for the scalar fields and regularization method. We find that, in general, the entropies are not proportional to the area of the horizon and that their divergent parts are not necessarily due to the existence of the horizon.

[ { "created": "Fri, 16 Dec 1994 14:29:37 GMT", "version": "v1" }, { "created": "Sun, 18 Dec 1994 08:51:30 GMT", "version": "v2" } ]

2008-11-26

[ [ "Ichinose", "Ikuo", "" ], [ "Satoh", "Yuji", "" ] ]

Thermodynamics of scalar fields is investigated in three dimensional black hole backgrounds in two approaches. One is mode expansion and direct computation of the partition sum, and the other is the Euclidean path integral approach. We obtain a number of exact results, for example, mode functions, Hartle-Hawking Green functions on the black holes, Green functions on a cone geometry, free energies and entropies. They constitute reliable bases for the thermodynamics of scalar fields. It is shown that thermodynamic quantities largely depend upon the approach to calculate them, boundary conditions for the scalar fields and regularization method. We find that, in general, the entropies are not proportional to the area of the horizon and that their divergent parts are not necessarily due to the existence of the horizon.

10.03918

10.294357

9.627838

9.217281

9.877789

9.978915

9.56913

9.588203

9.158285

11.095665

9.691553

9.424074

9.474085

9.231152

9.449084

9.10468

9.67695

9.193439

9.344794

9.670609

9.148762

2008.07006

Masahito Yamazaki

Dmitry Galakhov, Masahito Yamazaki

Quiver Yangian and Supersymmetric Quantum Mechanics

87 pages, 8 figures

Commun. Math. Phys. (2022)

10.1007/s00220-022-04490-y

null

hep-th math.AG math.QA math.RT

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

The statistical model of crystal melting represents BPS configurations of D-branes on a toric Calabi-Yau three-fold. Recently it has been noticed that an infinite-dimensional algebra, the quiver Yangian, acts consistently on the crystal-melting configurations. We physically derive the algebra and its action on the BPS states, starting with the effective supersymmetric quiver quantum mechanics on the D-brane worldvolume. This leads to remarkable combinatorial identities involving equivariant integrations on the moduli space of the quantum mechanics, which can be checked by numerical computations.

[ { "created": "Sun, 16 Aug 2020 21:43:00 GMT", "version": "v1" }, { "created": "Sat, 22 Aug 2020 11:17:10 GMT", "version": "v2" } ]

2022-09-07

[ [ "Galakhov", "Dmitry", "" ], [ "Yamazaki", "Masahito", "" ] ]

The statistical model of crystal melting represents BPS configurations of D-branes on a toric Calabi-Yau three-fold. Recently it has been noticed that an infinite-dimensional algebra, the quiver Yangian, acts consistently on the crystal-melting configurations. We physically derive the algebra and its action on the BPS states, starting with the effective supersymmetric quiver quantum mechanics on the D-brane worldvolume. This leads to remarkable combinatorial identities involving equivariant integrations on the moduli space of the quantum mechanics, which can be checked by numerical computations.

11.124839

8.763143

13.776719

8.739699

9.140308

8.759978

9.235858

8.651211

8.466569

13.701977

9.38941

9.494486

11.028877

9.49029

9.409654

9.598535

8.997754

9.492198

9.494018

11.680181

9.645998

0811.3533

Andreas Schmitt

Anton Rebhan, Andreas Schmitt, Stefan A. Stricker

Meson supercurrents and the Meissner effect in the Sakai-Sugimoto model

46 pages, 5 figures, v2: small modifications and added footnotes in discussion of axial current and number density (p19, p24); typos corrected; references added; version to appear in JHEP

JHEP 0905:084,2009

10.1088/1126-6708/2009/05/084

null

hep-th hep-ph nucl-th

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

The Sakai-Sugimoto model provides a holographic description for chiral symmetry breaking. We use this model to investigate chirally broken phases in an external magnetic field at finite isospin and baryon chemical potentials. The equations of motion for the bulk gauge fields are solved analytically and the free energy is computed from the Yang-Mills and Chern-Simons contributions to the D8 brane action. In the case of a neutral pion condensate, a magnetic field is found to induce nonzero gradients of the Goldstone boson fields corresponding to meson supercurrents. A charged pion condensate, on the other hand, expels the magnetic field due to the Meissner effect. Upon comparing the Gibbs free energies of these two phases we find that the rotation of the chiral condensate into a charged pion condensate for finite isospin chemical potentials is partially undone by switching on a magnetic field, and we determine the critical magnetic field which removes the charged pion condensate in a first-order phase transition.

[ { "created": "Fri, 21 Nov 2008 12:53:41 GMT", "version": "v1" }, { "created": "Fri, 22 May 2009 07:35:40 GMT", "version": "v2" } ]

2009-05-29

[ [ "Rebhan", "Anton", "" ], [ "Schmitt", "Andreas", "" ], [ "Stricker", "Stefan A.", "" ] ]

The Sakai-Sugimoto model provides a holographic description for chiral symmetry breaking. We use this model to investigate chirally broken phases in an external magnetic field at finite isospin and baryon chemical potentials. The equations of motion for the bulk gauge fields are solved analytically and the free energy is computed from the Yang-Mills and Chern-Simons contributions to the D8 brane action. In the case of a neutral pion condensate, a magnetic field is found to induce nonzero gradients of the Goldstone boson fields corresponding to meson supercurrents. A charged pion condensate, on the other hand, expels the magnetic field due to the Meissner effect. Upon comparing the Gibbs free energies of these two phases we find that the rotation of the chiral condensate into a charged pion condensate for finite isospin chemical potentials is partially undone by switching on a magnetic field, and we determine the critical magnetic field which removes the charged pion condensate in a first-order phase transition.

5.760382

6.018742

5.705559

5.43703

5.693947

5.756073

5.45014

5.41272

5.305341

5.552026

5.323087

5.463434

5.437887

5.397559

5.6583

5.580756

5.667399

5.558195

5.479604

5.39501

5.340556

hep-th/0006123

Eve Mariel Santangelo

C.G. Beneventano and E.M. Santangelo

Effective action for QED_4 through zeta function regularization

Several changes, including title, LateX, 9 pages

J. Math. Phys. 42, 3260 (2001)

10.1063/1.1383976

La Plata-Th00/02

hep-th

null

We obtain, through zeta function methods, the one-loop effective action for massive Dirac fields in the presence of a uniform, but otherwise general, electromagnetic background. After discussing renormalization, we compare our zeta function result with Schwinger's proper time approach.

[ { "created": "Fri, 16 Jun 2000 19:39:13 GMT", "version": "v1" }, { "created": "Wed, 31 Jan 2001 17:46:06 GMT", "version": "v2" } ]

2015-06-25

[ [ "Beneventano", "C. G.", "" ], [ "Santangelo", "E. M.", "" ] ]

We obtain, through zeta function methods, the one-loop effective action for massive Dirac fields in the presence of a uniform, but otherwise general, electromagnetic background. After discussing renormalization, we compare our zeta function result with Schwinger's proper time approach.

11.048784

6.627641

9.391204

7.81512

7.704636

7.879848

7.033335

7.183834

7.769629

9.370281

8.04507

8.474178

9.304164

8.783269

8.776995

8.495654

8.810394

9.043449

8.701192

9.137675

8.713533

hep-th/9906025

Norma Sanchez Demirm

M. Ramon Medrano, N. Sanchez

New dual relations between quantum field theory and string regimes in curved backgrounds

10 pages, no figures, comments added, title changed

null

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

null

A {\cal R} "dual" transform is introduced which relates Quantum Field Theory and String regimes, both in a curved background with D-non compact dimensions. This operation maps the characteristic length of one regime into the other (and, as a consequence, mass domains as well). The {\cal R}-transform is not an assumed or {\it a priori} imposed symmetry but is revealed by the QFT and String dynamics in curved backgrounds. The Hawking-Gibbons temperature and the string maximal or critical temperature are {\cal R}-mapped one into the other. If back reaction of quantum matter is included, Quantum Field Theory and String phases appear, and {\cal R}-relations between them manifest as well. These {\cal R}-transformations are explicitly shown in two relevant examples: Black Hole and de Sitter space times.

[ { "created": "Thu, 3 Jun 1999 14:41:21 GMT", "version": "v1" }, { "created": "Mon, 19 Jun 2000 17:19:45 GMT", "version": "v2" } ]

2007-05-23

[ [ "Medrano", "M. Ramon", "" ], [ "Sanchez", "N.", "" ] ]

A {\cal R} "dual" transform is introduced which relates Quantum Field Theory and String regimes, both in a curved background with D-non compact dimensions. This operation maps the characteristic length of one regime into the other (and, as a consequence, mass domains as well). The {\cal R}-transform is not an assumed or {\it a priori} imposed symmetry but is revealed by the QFT and String dynamics in curved backgrounds. The Hawking-Gibbons temperature and the string maximal or critical temperature are {\cal R}-mapped one into the other. If back reaction of quantum matter is included, Quantum Field Theory and String phases appear, and {\cal R}-relations between them manifest as well. These {\cal R}-transformations are explicitly shown in two relevant examples: Black Hole and de Sitter space times.

15.679183

14.60228

14.963546

14.501517

15.07618

15.317673

15.307302

13.955256

13.633587

16.805899

14.268028

13.92625

14.74317

13.680335

14.042761

14.243159

13.760069

13.554955

13.938879

15.035162

14.139856

hep-th/0610218

Brian Batell

Brian Batell, Andrew Larkoski

Holography with Schroedinger Potentials

22 pages, 4 figures

AnnalsPhys.322:2776-2794,2007

10.1016/j.aop.2007.08.001

null

hep-th hep-ph

null

We examine the analogue one-dimensional quantum mechanics problem associated with bulk scalars and fermions in a slice of AdS_5. The ``Schroedinger'' potential can take on different qualitative shapes depending on the values of the mass parameters in the bulk theory. Several interesting correlations between the shape of the Schroedinger potential and the holographic theory exist. We show that the quantum mechanical picture is a useful guide to the holographic theory by examining applications from phenomenology.

[ { "created": "Thu, 19 Oct 2006 15:51:50 GMT", "version": "v1" } ]

2008-11-26

[ [ "Batell", "Brian", "" ], [ "Larkoski", "Andrew", "" ] ]

We examine the analogue one-dimensional quantum mechanics problem associated with bulk scalars and fermions in a slice of AdS_5. The ``Schroedinger'' potential can take on different qualitative shapes depending on the values of the mass parameters in the bulk theory. Several interesting correlations between the shape of the Schroedinger potential and the holographic theory exist. We show that the quantum mechanical picture is a useful guide to the holographic theory by examining applications from phenomenology.

13.520706

11.723834

10.841727

11.045536

12.048441

11.915854

11.235326

11.588364

11.491343

13.301909

11.699464

11.4167

12.480394

11.085846

12.030566

11.602201

11.465776

11.42986

11.600286

12.411913

11.472872

hep-th/9311059

null

Jens Hoppe

Supermembranes in 4 Dimensions

3 pages, Latex-File preprint KATHEP-9-93

null

hep-th

null

A non-parametric gauge for supermembranes is introduced which substantially simplifies previous treatments and directly leads to the supersymmetric extension of a Karman-Tsien gas.

[ { "created": "Wed, 10 Nov 1993 14:31:00 GMT", "version": "v1" } ]

2007-05-23

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

A non-parametric gauge for supermembranes is introduced which substantially simplifies previous treatments and directly leads to the supersymmetric extension of a Karman-Tsien gas.

43.831963

24.711996

41.219635

31.006229

32.265224

26.223892

24.252649

27.460546

32.505287

34.42688

30.054871

26.719973

33.403927

29.244038

27.182592

24.989834

25.874414

26.752949

30.149231

34.663712

26.399977

2104.10182

Aldo Riello

Edge modes without edge modes

null

hep-th math-ph math.MP

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

We discuss gauge theories of the Yang-Mills kind in finite regions with boundaries, and in particular the definition of the corresponding quasi-local degrees of freedom and their gluing upon composition of the underlying regions. Although the most of the technical results presented here has appeared in previous works by Gomes, Hopfm\"uller and the author, we adopt here a new perspective. Focusing on Maxwell theory as our model theory, in most of the text we avoid technical complications and focus on the conceptual issues related to symplectic reduction in finite and bounded regions, and to gluing$-$e.g. superselection sectors, non-locality, Dirac's dressing of charged fields, and edge modes. In this regard, the title refers to a gluing formula for the reduced symplectic structures, where the "edge mode" contribution is explicitly computed in terms of gauge-invariant bulk variables. Despite capturing most interesting features, the Abelian theory misses some crucial technical and conceptual points which are present in the non-Abelian case. To fill this gap, we dedicate the last section to a brief overview of functional connection forms, flux rotations, and geometric BRST, among other topics.

[ { "created": "Tue, 20 Apr 2021 18:07:11 GMT", "version": "v1" } ]

2021-04-22

[ [ "Riello", "Aldo", "" ] ]

We discuss gauge theories of the Yang-Mills kind in finite regions with boundaries, and in particular the definition of the corresponding quasi-local degrees of freedom and their gluing upon composition of the underlying regions. Although the most of the technical results presented here has appeared in previous works by Gomes, Hopfm\"uller and the author, we adopt here a new perspective. Focusing on Maxwell theory as our model theory, in most of the text we avoid technical complications and focus on the conceptual issues related to symplectic reduction in finite and bounded regions, and to gluing$-$e.g. superselection sectors, non-locality, Dirac's dressing of charged fields, and edge modes. In this regard, the title refers to a gluing formula for the reduced symplectic structures, where the "edge mode" contribution is explicitly computed in terms of gauge-invariant bulk variables. Despite capturing most interesting features, the Abelian theory misses some crucial technical and conceptual points which are present in the non-Abelian case. To fill this gap, we dedicate the last section to a brief overview of functional connection forms, flux rotations, and geometric BRST, among other topics.

15.487118

16.895615

15.516993

15.111439

15.059122

14.847661

17.490328

15.816408

15.242372

16.797514

15.404475

15.016068

14.87704

14.39071

14.639914

14.852568

15.168771

14.894332

14.649141

14.946599

14.916658

hep-th/9211058

Mark Bowick

Mark Bowick, Paul Coddington, Leping Han, Geoff Harris and Enzo Marinari

The Phase Structure of Strings with Extrinsic Curvature

Latex file of 19 pages (plus 10 figures not included); Lecture given by Mark Bowick at the Erice Workshop on "String Quantum Gravity and Physics at the Planck Energy Scale", June 92 and at the First Iberian Meeting on Gravity, Evora, Portugal, September 92

null

Syracuse preprint SU-HEP-4241-526

hep-th

null

We examine a model of non-self-avoiding, fluctuating surfaces as a candidate continuum string theory of surfaces in three dimensions. This model describes Dynamically Triangulated Random Surfaces embedded in three dimensions with an extrinsic curvature dependent action. We analyze, using Monte Carlo simulations, the dramatic crossover behaviour of several observables which characterize the geometry of these surfaces. We then critically discuss whether our observations are indicative of a phase transition.

[ { "created": "Thu, 12 Nov 1992 23:03:00 GMT", "version": "v1" } ]

2007-05-23

[ [ "Bowick", "Mark", "" ], [ "Coddington", "Paul", "" ], [ "Han", "Leping", "" ], [ "Harris", "Geoff", "" ], [ "Marinari", "Enzo", "" ] ]

We examine a model of non-self-avoiding, fluctuating surfaces as a candidate continuum string theory of surfaces in three dimensions. This model describes Dynamically Triangulated Random Surfaces embedded in three dimensions with an extrinsic curvature dependent action. We analyze, using Monte Carlo simulations, the dramatic crossover behaviour of several observables which characterize the geometry of these surfaces. We then critically discuss whether our observations are indicative of a phase transition.

14.568573

14.298156

15.831207

13.692791

14.851457

14.960171

15.114426

13.113573

14.518022

14.662042

12.935728

13.948755

14.272087

13.962399

14.691397

14.263889

13.683102

13.935922

14.176435

14.831281

13.891995

0801.0322

Pierre Vanhove

Michael B. Green (Cambridge U., DAMTP), Jorge G. Russo (ICREA, Barcelona & Barcelona U., ECM), Pierre Vanhove (Saclay, SPhT)

Low energy expansion of the four-particle genus-one amplitude in type II superstring theory

JHEP style. 6 eps figures. 50 pages

JHEP 0802:020,2008

10.1088/1126-6708/2008/02/020

DAMTP-2007-96; SPhT-T-07-126; UB-ECM-PF 07/29

hep-th

null

A diagrammatic expansion of coefficients in the low-momentum expansion of the genus-one four-particle amplitude in type II superstring theory is developed. This is applied to determine coefficients up to order s^6R^4 (where s is a Mandelstam invariant and R^4 the linearized super-curvature), and partial results are obtained beyond that order. This involves integrating powers of the scalar propagator on a toroidal world-sheet, as well as integrating over the modulus of the torus. At any given order in s the coefficients of these terms are given by rational numbers multiplying multiple zeta values (or Euler--Zagier sums) that, up to the order studied here, reduce to products of Riemann zeta values. We are careful to disentangle the analytic pieces from logarithmic threshold terms, which involves a discussion of the conditions imposed by unitarity. We further consider the compactification of the amplitude on a circle of radius r, which results in a plethora of terms that are power-behaved in r. These coefficients provide boundary `data' that must be matched by any non-perturbative expression for the low-energy expansion of the four-graviton amplitude. The paper includes an appendix by Don Zagier.

[ { "created": "Wed, 2 Jan 2008 19:33:16 GMT", "version": "v1" } ]

2009-12-15

[ [ "Green", "Michael B.", "", "Cambridge U., DAMTP" ], [ "Russo", "Jorge G.", "", "ICREA,\n Barcelona & Barcelona U., ECM" ], [ "Vanhove", "Pierre", "", "Saclay, SPhT" ] ]

A diagrammatic expansion of coefficients in the low-momentum expansion of the genus-one four-particle amplitude in type II superstring theory is developed. This is applied to determine coefficients up to order s^6R^4 (where s is a Mandelstam invariant and R^4 the linearized super-curvature), and partial results are obtained beyond that order. This involves integrating powers of the scalar propagator on a toroidal world-sheet, as well as integrating over the modulus of the torus. At any given order in s the coefficients of these terms are given by rational numbers multiplying multiple zeta values (or Euler--Zagier sums) that, up to the order studied here, reduce to products of Riemann zeta values. We are careful to disentangle the analytic pieces from logarithmic threshold terms, which involves a discussion of the conditions imposed by unitarity. We further consider the compactification of the amplitude on a circle of radius r, which results in a plethora of terms that are power-behaved in r. These coefficients provide boundary `data' that must be matched by any non-perturbative expression for the low-energy expansion of the four-graviton amplitude. The paper includes an appendix by Don Zagier.

9.988518

9.132707

11.16673

9.264295

9.604778

10.068831

9.866888

9.138951

9.18675

12.642433

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9.612929

9.581981

9.296218

9.523909

9.292107

9.455604

10.182938

9.481413

hep-th/9604013

Alexandros Kehagias

S. Forste, A. Kehagias and S. Schwager

Non-Abelian Duality for Open Strings

18 pages, Latex. Some formulas are added. Final version to appear in Nucl. Phys. B

Nucl.Phys.B478:141-155,1996

10.1016/0550-3213(96)00422-1

TUM-HEP-243/96, LMU-TPW 96-13

hep-th

null

We examine non-abelian duality transformations in the open string case. After gauging the isometries of the target space and developing the general formalism, we study in details the duals oftarget spaces with SO(N) isometries which, for the SO(2) case, reduces to the known abelian T-duals. We apply the formalism to electrically and magnetically charged 4D black hole solutions and, as in the abelian case, dual coordinates satisfy Dirichlet conditions.

[ { "created": "Tue, 2 Apr 1996 16:51:44 GMT", "version": "v1" }, { "created": "Thu, 8 Aug 1996 16:44:49 GMT", "version": "v2" } ]

2014-11-18

[ [ "Forste", "S.", "" ], [ "Kehagias", "A.", "" ], [ "Schwager", "S.", "" ] ]

We examine non-abelian duality transformations in the open string case. After gauging the isometries of the target space and developing the general formalism, we study in details the duals oftarget spaces with SO(N) isometries which, for the SO(2) case, reduces to the known abelian T-duals. We apply the formalism to electrically and magnetically charged 4D black hole solutions and, as in the abelian case, dual coordinates satisfy Dirichlet conditions.

9.31461

8.463905

9.995366

8.619181

8.830427

9.330183

8.853289

7.990079

8.295545

9.721963

8.638665

8.708219

8.995137

8.52722

8.26247

8.61628

8.571136

8.676389

8.375819

8.759538

8.388561

1912.05649

Jonathan Sorce

Alex May, Geoff Penington, and Jonathan Sorce

Holographic scattering requires a connected entanglement wedge

v2 addresses an error in section 2 of v1; v3 published in JHEP

JHEP 2020, 132 (2020)

10.1007/JHEP08(2020)132

null

hep-th gr-qc quant-ph

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

In AdS/CFT, there can exist local 2-to-2 bulk scattering processes even when local scattering is not possible on the boundary; these have previously been studied in connection with boundary correlation functions. We show that boundary regions associated with these scattering configurations must have $O(1/G_N)$ mutual information, and hence a connected entanglement wedge. One of us previously argued for this statement from the boundary theory using operational tools in quantum information theory. We improve that argument to make it robust to small errors and provide a proof in the bulk using focusing arguments in general relativity. We also provide a direct link to entanglement wedge reconstruction by showing that the bulk scattering region must lie inside the connected entanglement wedge. Our construction implies the existence of nonlocal quantum computation protocols that are exponentially more efficient than the optimal protocols currently known.

[ { "created": "Wed, 11 Dec 2019 21:36:26 GMT", "version": "v1" }, { "created": "Sun, 15 Dec 2019 02:13:26 GMT", "version": "v2" }, { "created": "Tue, 1 Sep 2020 12:20:39 GMT", "version": "v3" } ]

2020-09-02

[ [ "May", "Alex", "" ], [ "Penington", "Geoff", "" ], [ "Sorce", "Jonathan", "" ] ]

In AdS/CFT, there can exist local 2-to-2 bulk scattering processes even when local scattering is not possible on the boundary; these have previously been studied in connection with boundary correlation functions. We show that boundary regions associated with these scattering configurations must have $O(1/G_N)$ mutual information, and hence a connected entanglement wedge. One of us previously argued for this statement from the boundary theory using operational tools in quantum information theory. We improve that argument to make it robust to small errors and provide a proof in the bulk using focusing arguments in general relativity. We also provide a direct link to entanglement wedge reconstruction by showing that the bulk scattering region must lie inside the connected entanglement wedge. Our construction implies the existence of nonlocal quantum computation protocols that are exponentially more efficient than the optimal protocols currently known.

13.599452

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13.275866

12.129852

11.848907

11.506987

11.586983

11.797587

11.711291

12.858806

11.850314

1901.08733

Heliudson Bernardo

Unruh Duality and Maximum Acceleration in String Theory

12 pages, references added

null

hep-th

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

It is argued that the Unruh effect may be interpreted as a duality of a theory on different backgrounds. This issue is revisited in String Theory in the path integral formalism. By using T-duality and the Unruh effect, the T-dual transformation for acceleration is investigated and a maximum effective physical acceleration for observers in String Theory is found.

[ { "created": "Fri, 25 Jan 2019 04:26:20 GMT", "version": "v1" }, { "created": "Thu, 7 Feb 2019 23:28:44 GMT", "version": "v2" }, { "created": "Sat, 2 Nov 2019 19:19:40 GMT", "version": "v3" } ]

2019-11-05

[ [ "Bernardo", "Heliudson", "" ] ]

It is argued that the Unruh effect may be interpreted as a duality of a theory on different backgrounds. This issue is revisited in String Theory in the path integral formalism. By using T-duality and the Unruh effect, the T-dual transformation for acceleration is investigated and a maximum effective physical acceleration for observers in String Theory is found.

18.885344

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